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Identifier
Mp00077: Semistandard tableaux —shape⟶ Integer partitions
Images
=>
Cc0019;cc-rep-0Cc0002;cc-rep-1
[[1]]=>[1] [[2]]=>[1] [[3]]=>[1] [[4]]=>[1] [[5]]=>[1] [[6]]=>[1] [[1,1]]=>[2] [[1,2]]=>[2] [[2,2]]=>[2] [[1],[2]]=>[1,1] [[1,3]]=>[2] [[2,3]]=>[2] [[3,3]]=>[2] [[1],[3]]=>[1,1] [[2],[3]]=>[1,1] [[1,4]]=>[2] [[2,4]]=>[2] [[3,4]]=>[2] [[4,4]]=>[2] [[1],[4]]=>[1,1] [[2],[4]]=>[1,1] [[3],[4]]=>[1,1] [[1,5]]=>[2] [[2,5]]=>[2] [[3,5]]=>[2] [[4,5]]=>[2] [[5,5]]=>[2] [[1],[5]]=>[1,1] [[2],[5]]=>[1,1] [[3],[5]]=>[1,1] [[4],[5]]=>[1,1] [[1,6]]=>[2] [[2,6]]=>[2] [[3,6]]=>[2] [[4,6]]=>[2] [[5,6]]=>[2] [[6,6]]=>[2] [[1],[6]]=>[1,1] [[2],[6]]=>[1,1] [[3],[6]]=>[1,1] [[4],[6]]=>[1,1] [[5],[6]]=>[1,1] [[1,7]]=>[2] [[2,7]]=>[2] [[3,7]]=>[2] [[4,7]]=>[2] [[5,7]]=>[2] [[6,7]]=>[2] [[7,7]]=>[2] [[1],[7]]=>[1,1] [[2],[7]]=>[1,1] [[3],[7]]=>[1,1] [[4],[7]]=>[1,1] [[5],[7]]=>[1,1] [[6],[7]]=>[1,1] [[1,8]]=>[2] [[2,8]]=>[2] [[3,8]]=>[2] [[4,8]]=>[2] [[5,8]]=>[2] [[6,8]]=>[2] [[7,8]]=>[2] [[8,8]]=>[2] [[1],[8]]=>[1,1] [[2],[8]]=>[1,1] [[3],[8]]=>[1,1] [[4],[8]]=>[1,1] [[5],[8]]=>[1,1] [[6],[8]]=>[1,1] [[7],[8]]=>[1,1] [[1,1,1]]=>[3] [[1,1,2]]=>[3] [[1,2,2]]=>[3] [[2,2,2]]=>[3] [[1,1],[2]]=>[2,1] [[1,2],[2]]=>[2,1] [[1,1,3]]=>[3] [[1,2,3]]=>[3] [[1,3,3]]=>[3] [[2,2,3]]=>[3] [[2,3,3]]=>[3] [[3,3,3]]=>[3] [[1,1],[3]]=>[2,1] [[1,2],[3]]=>[2,1] [[1,3],[2]]=>[2,1] [[1,3],[3]]=>[2,1] [[2,2],[3]]=>[2,1] [[2,3],[3]]=>[2,1] [[1],[2],[3]]=>[1,1,1] [[1,1,4]]=>[3] [[1,2,4]]=>[3] [[1,3,4]]=>[3] [[1,4,4]]=>[3] [[2,2,4]]=>[3] [[2,3,4]]=>[3] [[2,4,4]]=>[3] [[3,3,4]]=>[3] [[3,4,4]]=>[3] [[4,4,4]]=>[3] [[1,1],[4]]=>[2,1] [[1,2],[4]]=>[2,1] [[1,4],[2]]=>[2,1] [[1,3],[4]]=>[2,1] [[1,4],[3]]=>[2,1] [[1,4],[4]]=>[2,1] [[2,2],[4]]=>[2,1] [[2,3],[4]]=>[2,1] [[2,4],[3]]=>[2,1] [[2,4],[4]]=>[2,1] [[3,3],[4]]=>[2,1] [[3,4],[4]]=>[2,1] [[1],[2],[4]]=>[1,1,1] [[1],[3],[4]]=>[1,1,1] [[2],[3],[4]]=>[1,1,1] [[1,1,5]]=>[3] [[1,2,5]]=>[3] [[1,3,5]]=>[3] [[1,4,5]]=>[3] [[1,5,5]]=>[3] [[2,2,5]]=>[3] [[2,3,5]]=>[3] [[2,4,5]]=>[3] [[2,5,5]]=>[3] [[3,3,5]]=>[3] [[3,4,5]]=>[3] [[3,5,5]]=>[3] [[4,4,5]]=>[3] [[4,5,5]]=>[3] [[5,5,5]]=>[3] [[1,1],[5]]=>[2,1] [[1,2],[5]]=>[2,1] [[1,5],[2]]=>[2,1] [[1,3],[5]]=>[2,1] [[1,5],[3]]=>[2,1] [[1,4],[5]]=>[2,1] [[1,5],[4]]=>[2,1] [[1,5],[5]]=>[2,1] [[2,2],[5]]=>[2,1] [[2,3],[5]]=>[2,1] [[2,5],[3]]=>[2,1] [[2,4],[5]]=>[2,1] [[2,5],[4]]=>[2,1] [[2,5],[5]]=>[2,1] [[3,3],[5]]=>[2,1] [[3,4],[5]]=>[2,1] [[3,5],[4]]=>[2,1] [[3,5],[5]]=>[2,1] [[4,4],[5]]=>[2,1] [[4,5],[5]]=>[2,1] [[1],[2],[5]]=>[1,1,1] [[1],[3],[5]]=>[1,1,1] [[1],[4],[5]]=>[1,1,1] [[2],[3],[5]]=>[1,1,1] [[2],[4],[5]]=>[1,1,1] [[3],[4],[5]]=>[1,1,1] [[1,1,6]]=>[3] [[1,2,6]]=>[3] [[1,3,6]]=>[3] [[1,4,6]]=>[3] [[1,5,6]]=>[3] [[1,6,6]]=>[3] [[2,2,6]]=>[3] [[2,3,6]]=>[3] [[2,4,6]]=>[3] [[2,5,6]]=>[3] [[2,6,6]]=>[3] [[3,3,6]]=>[3] [[3,4,6]]=>[3] [[3,5,6]]=>[3] [[3,6,6]]=>[3] [[4,4,6]]=>[3] [[4,5,6]]=>[3] [[4,6,6]]=>[3] [[5,5,6]]=>[3] [[5,6,6]]=>[3] [[6,6,6]]=>[3] [[1,1],[6]]=>[2,1] [[1,2],[6]]=>[2,1] [[1,6],[2]]=>[2,1] [[1,3],[6]]=>[2,1] [[1,6],[3]]=>[2,1] [[1,4],[6]]=>[2,1] [[1,6],[4]]=>[2,1] [[1,5],[6]]=>[2,1] [[1,6],[5]]=>[2,1] [[1,6],[6]]=>[2,1] [[2,2],[6]]=>[2,1] [[2,3],[6]]=>[2,1] [[2,6],[3]]=>[2,1] [[2,4],[6]]=>[2,1] [[2,6],[4]]=>[2,1] [[2,5],[6]]=>[2,1] [[2,6],[5]]=>[2,1] [[2,6],[6]]=>[2,1] [[3,3],[6]]=>[2,1] [[3,4],[6]]=>[2,1] [[3,6],[4]]=>[2,1] [[3,5],[6]]=>[2,1] [[3,6],[5]]=>[2,1] [[3,6],[6]]=>[2,1] [[4,4],[6]]=>[2,1] [[4,5],[6]]=>[2,1] [[4,6],[5]]=>[2,1] [[4,6],[6]]=>[2,1] [[5,5],[6]]=>[2,1] [[5,6],[6]]=>[2,1] [[1],[2],[6]]=>[1,1,1] [[1],[3],[6]]=>[1,1,1] [[1],[4],[6]]=>[1,1,1] [[1],[5],[6]]=>[1,1,1] [[2],[3],[6]]=>[1,1,1] [[2],[4],[6]]=>[1,1,1] [[2],[5],[6]]=>[1,1,1] [[3],[4],[6]]=>[1,1,1] [[3],[5],[6]]=>[1,1,1] [[4],[5],[6]]=>[1,1,1] [[1,1,7]]=>[3] [[1,2,7]]=>[3] [[1,3,7]]=>[3] [[1,4,7]]=>[3] [[1,5,7]]=>[3] [[1,6,7]]=>[3] [[1,7,7]]=>[3] [[2,2,7]]=>[3] [[2,3,7]]=>[3] [[2,4,7]]=>[3] [[2,5,7]]=>[3] [[2,6,7]]=>[3] [[2,7,7]]=>[3] [[3,3,7]]=>[3] [[3,4,7]]=>[3] [[3,5,7]]=>[3] [[3,6,7]]=>[3] [[3,7,7]]=>[3] [[4,4,7]]=>[3] [[4,5,7]]=>[3] [[4,6,7]]=>[3] [[4,7,7]]=>[3] [[5,5,7]]=>[3] [[5,6,7]]=>[3] [[5,7,7]]=>[3] [[6,6,7]]=>[3] [[6,7,7]]=>[3] [[7,7,7]]=>[3] [[1,1],[7]]=>[2,1] [[1,2],[7]]=>[2,1] [[1,7],[2]]=>[2,1] [[1,3],[7]]=>[2,1] [[1,7],[3]]=>[2,1] [[1,4],[7]]=>[2,1] [[1,7],[4]]=>[2,1] [[1,5],[7]]=>[2,1] [[1,7],[5]]=>[2,1] [[1,6],[7]]=>[2,1] [[1,7],[6]]=>[2,1] [[1,7],[7]]=>[2,1] [[2,2],[7]]=>[2,1] [[2,3],[7]]=>[2,1] [[2,7],[3]]=>[2,1] [[2,4],[7]]=>[2,1] [[2,7],[4]]=>[2,1] [[2,5],[7]]=>[2,1] [[2,7],[5]]=>[2,1] [[2,6],[7]]=>[2,1] [[2,7],[6]]=>[2,1] [[2,7],[7]]=>[2,1] [[3,3],[7]]=>[2,1] [[3,4],[7]]=>[2,1] [[3,7],[4]]=>[2,1] [[3,5],[7]]=>[2,1] [[3,7],[5]]=>[2,1] [[3,6],[7]]=>[2,1] [[3,7],[6]]=>[2,1] [[3,7],[7]]=>[2,1] [[4,4],[7]]=>[2,1] [[4,5],[7]]=>[2,1] [[4,7],[5]]=>[2,1] [[4,6],[7]]=>[2,1] [[4,7],[6]]=>[2,1] [[4,7],[7]]=>[2,1] [[5,5],[7]]=>[2,1] [[5,6],[7]]=>[2,1] [[5,7],[6]]=>[2,1] [[5,7],[7]]=>[2,1] [[6,6],[7]]=>[2,1] [[6,7],[7]]=>[2,1] [[1],[2],[7]]=>[1,1,1] [[1],[3],[7]]=>[1,1,1] [[1],[4],[7]]=>[1,1,1] [[1],[5],[7]]=>[1,1,1] [[1],[6],[7]]=>[1,1,1] [[2],[3],[7]]=>[1,1,1] [[2],[4],[7]]=>[1,1,1] [[2],[5],[7]]=>[1,1,1] [[2],[6],[7]]=>[1,1,1] [[3],[4],[7]]=>[1,1,1] [[3],[5],[7]]=>[1,1,1] [[3],[6],[7]]=>[1,1,1] [[4],[5],[7]]=>[1,1,1] [[4],[6],[7]]=>[1,1,1] [[5],[6],[7]]=>[1,1,1] [[1,1,1,1]]=>[4] [[1,1,1,2]]=>[4] [[1,1,2,2]]=>[4] [[1,2,2,2]]=>[4] [[2,2,2,2]]=>[4] [[1,1,1],[2]]=>[3,1] [[1,1,2],[2]]=>[3,1] [[1,2,2],[2]]=>[3,1] [[1,1],[2,2]]=>[2,2] [[1,1,1,3]]=>[4] [[1,1,2,3]]=>[4] [[1,1,3,3]]=>[4] [[1,2,2,3]]=>[4] [[1,2,3,3]]=>[4] [[1,3,3,3]]=>[4] [[2,2,2,3]]=>[4] [[2,2,3,3]]=>[4] [[2,3,3,3]]=>[4] [[3,3,3,3]]=>[4] [[1,1,1],[3]]=>[3,1] [[1,1,2],[3]]=>[3,1] [[1,1,3],[2]]=>[3,1] [[1,1,3],[3]]=>[3,1] [[1,2,2],[3]]=>[3,1] [[1,2,3],[2]]=>[3,1] [[1,2,3],[3]]=>[3,1] [[1,3,3],[2]]=>[3,1] [[1,3,3],[3]]=>[3,1] [[2,2,2],[3]]=>[3,1] [[2,2,3],[3]]=>[3,1] [[2,3,3],[3]]=>[3,1] [[1,1],[2,3]]=>[2,2] [[1,1],[3,3]]=>[2,2] [[1,2],[2,3]]=>[2,2] [[1,2],[3,3]]=>[2,2] [[2,2],[3,3]]=>[2,2] [[1,1],[2],[3]]=>[2,1,1] [[1,2],[2],[3]]=>[2,1,1] [[1,3],[2],[3]]=>[2,1,1] [[1,1,1,4]]=>[4] [[1,1,2,4]]=>[4] [[1,1,3,4]]=>[4] [[1,1,4,4]]=>[4] [[1,2,2,4]]=>[4] [[1,2,3,4]]=>[4] [[1,2,4,4]]=>[4] [[1,3,3,4]]=>[4] [[1,3,4,4]]=>[4] [[1,4,4,4]]=>[4] [[2,2,2,4]]=>[4] [[2,2,3,4]]=>[4] [[2,2,4,4]]=>[4] [[2,3,3,4]]=>[4] [[2,3,4,4]]=>[4] [[2,4,4,4]]=>[4] [[3,3,3,4]]=>[4] [[3,3,4,4]]=>[4] [[3,4,4,4]]=>[4] [[4,4,4,4]]=>[4] [[1,1,1],[4]]=>[3,1] [[1,1,2],[4]]=>[3,1] [[1,1,4],[2]]=>[3,1] [[1,1,3],[4]]=>[3,1] [[1,1,4],[3]]=>[3,1] [[1,1,4],[4]]=>[3,1] [[1,2,2],[4]]=>[3,1] [[1,2,4],[2]]=>[3,1] [[1,2,3],[4]]=>[3,1] [[1,2,4],[3]]=>[3,1] [[1,3,4],[2]]=>[3,1] [[1,2,4],[4]]=>[3,1] [[1,4,4],[2]]=>[3,1] [[1,3,3],[4]]=>[3,1] [[1,3,4],[3]]=>[3,1] [[1,3,4],[4]]=>[3,1] [[1,4,4],[3]]=>[3,1] [[1,4,4],[4]]=>[3,1] [[2,2,2],[4]]=>[3,1] [[2,2,3],[4]]=>[3,1] [[2,2,4],[3]]=>[3,1] [[2,2,4],[4]]=>[3,1] [[2,3,3],[4]]=>[3,1] [[2,3,4],[3]]=>[3,1] [[2,3,4],[4]]=>[3,1] [[2,4,4],[3]]=>[3,1] [[2,4,4],[4]]=>[3,1] [[3,3,3],[4]]=>[3,1] [[3,3,4],[4]]=>[3,1] [[3,4,4],[4]]=>[3,1] [[1,1],[2,4]]=>[2,2] [[1,1],[3,4]]=>[2,2] [[1,1],[4,4]]=>[2,2] [[1,2],[2,4]]=>[2,2] [[1,2],[3,4]]=>[2,2] [[1,3],[2,4]]=>[2,2] [[1,2],[4,4]]=>[2,2] [[1,3],[3,4]]=>[2,2] [[1,3],[4,4]]=>[2,2] [[2,2],[3,4]]=>[2,2] [[2,2],[4,4]]=>[2,2] [[2,3],[3,4]]=>[2,2] [[2,3],[4,4]]=>[2,2] [[3,3],[4,4]]=>[2,2] [[1,1],[2],[4]]=>[2,1,1] [[1,1],[3],[4]]=>[2,1,1] [[1,2],[2],[4]]=>[2,1,1] [[1,2],[3],[4]]=>[2,1,1] [[1,3],[2],[4]]=>[2,1,1] [[1,4],[2],[3]]=>[2,1,1] [[1,4],[2],[4]]=>[2,1,1] [[1,3],[3],[4]]=>[2,1,1] [[1,4],[3],[4]]=>[2,1,1] [[2,2],[3],[4]]=>[2,1,1] [[2,3],[3],[4]]=>[2,1,1] [[2,4],[3],[4]]=>[2,1,1] [[1],[2],[3],[4]]=>[1,1,1,1] [[1,1,1,5]]=>[4] [[1,1,2,5]]=>[4] [[1,1,3,5]]=>[4] [[1,1,4,5]]=>[4] [[1,1,5,5]]=>[4] [[1,2,2,5]]=>[4] [[1,2,3,5]]=>[4] [[1,2,4,5]]=>[4] [[1,2,5,5]]=>[4] [[1,3,3,5]]=>[4] [[1,3,4,5]]=>[4] [[1,3,5,5]]=>[4] [[1,4,4,5]]=>[4] [[1,4,5,5]]=>[4] [[1,5,5,5]]=>[4] [[2,2,2,5]]=>[4] [[2,2,3,5]]=>[4] [[2,2,4,5]]=>[4] [[2,2,5,5]]=>[4] [[2,3,3,5]]=>[4] [[2,3,4,5]]=>[4] [[2,3,5,5]]=>[4] [[2,4,4,5]]=>[4] [[2,4,5,5]]=>[4] [[2,5,5,5]]=>[4] [[3,3,3,5]]=>[4] [[3,3,4,5]]=>[4] [[3,3,5,5]]=>[4] [[3,4,4,5]]=>[4] [[3,4,5,5]]=>[4] [[3,5,5,5]]=>[4] [[4,4,4,5]]=>[4] [[4,4,5,5]]=>[4] [[4,5,5,5]]=>[4] [[5,5,5,5]]=>[4] [[1,1,1],[5]]=>[3,1] [[1,1,2],[5]]=>[3,1] [[1,1,5],[2]]=>[3,1] [[1,1,3],[5]]=>[3,1] [[1,1,5],[3]]=>[3,1] [[1,1,4],[5]]=>[3,1] [[1,1,5],[4]]=>[3,1] [[1,1,5],[5]]=>[3,1] [[1,2,2],[5]]=>[3,1] [[1,2,5],[2]]=>[3,1] [[1,2,3],[5]]=>[3,1] [[1,2,5],[3]]=>[3,1] [[1,3,5],[2]]=>[3,1] [[1,2,4],[5]]=>[3,1] [[1,2,5],[4]]=>[3,1] [[1,4,5],[2]]=>[3,1] [[1,2,5],[5]]=>[3,1] [[1,5,5],[2]]=>[3,1] [[1,3,3],[5]]=>[3,1] [[1,3,5],[3]]=>[3,1] [[1,3,4],[5]]=>[3,1] [[1,3,5],[4]]=>[3,1] [[1,4,5],[3]]=>[3,1] [[1,3,5],[5]]=>[3,1] [[1,5,5],[3]]=>[3,1] [[1,4,4],[5]]=>[3,1] [[1,4,5],[4]]=>[3,1] [[1,4,5],[5]]=>[3,1] [[1,5,5],[4]]=>[3,1] [[1,5,5],[5]]=>[3,1] [[2,2,2],[5]]=>[3,1] [[2,2,3],[5]]=>[3,1] [[2,2,5],[3]]=>[3,1] [[2,2,4],[5]]=>[3,1] [[2,2,5],[4]]=>[3,1] [[2,2,5],[5]]=>[3,1] [[2,3,3],[5]]=>[3,1] [[2,3,5],[3]]=>[3,1] [[2,3,4],[5]]=>[3,1] [[2,3,5],[4]]=>[3,1] [[2,4,5],[3]]=>[3,1] [[2,3,5],[5]]=>[3,1] [[2,5,5],[3]]=>[3,1] [[2,4,4],[5]]=>[3,1] [[2,4,5],[4]]=>[3,1] [[2,4,5],[5]]=>[3,1] [[2,5,5],[4]]=>[3,1] [[2,5,5],[5]]=>[3,1] [[3,3,3],[5]]=>[3,1] [[3,3,4],[5]]=>[3,1] [[3,3,5],[4]]=>[3,1] [[3,3,5],[5]]=>[3,1] [[3,4,4],[5]]=>[3,1] [[3,4,5],[4]]=>[3,1] [[3,4,5],[5]]=>[3,1] [[3,5,5],[4]]=>[3,1] [[3,5,5],[5]]=>[3,1] [[4,4,4],[5]]=>[3,1] [[4,4,5],[5]]=>[3,1] [[4,5,5],[5]]=>[3,1] [[1,1],[2,5]]=>[2,2] [[1,1],[3,5]]=>[2,2] [[1,1],[4,5]]=>[2,2] [[1,1],[5,5]]=>[2,2] [[1,2],[2,5]]=>[2,2] [[1,2],[3,5]]=>[2,2] [[1,3],[2,5]]=>[2,2] [[1,2],[4,5]]=>[2,2] [[1,4],[2,5]]=>[2,2] [[1,2],[5,5]]=>[2,2] [[1,3],[3,5]]=>[2,2] [[1,3],[4,5]]=>[2,2] [[1,4],[3,5]]=>[2,2] [[1,3],[5,5]]=>[2,2] [[1,4],[4,5]]=>[2,2] [[1,4],[5,5]]=>[2,2] [[2,2],[3,5]]=>[2,2] [[2,2],[4,5]]=>[2,2] [[2,2],[5,5]]=>[2,2] [[2,3],[3,5]]=>[2,2] [[2,3],[4,5]]=>[2,2] [[2,4],[3,5]]=>[2,2] [[2,3],[5,5]]=>[2,2] [[2,4],[4,5]]=>[2,2] [[2,4],[5,5]]=>[2,2] [[3,3],[4,5]]=>[2,2] [[3,3],[5,5]]=>[2,2] [[3,4],[4,5]]=>[2,2] [[3,4],[5,5]]=>[2,2] [[4,4],[5,5]]=>[2,2] [[1,1],[2],[5]]=>[2,1,1] [[1,1],[3],[5]]=>[2,1,1] [[1,1],[4],[5]]=>[2,1,1] [[1,2],[2],[5]]=>[2,1,1] [[1,2],[3],[5]]=>[2,1,1] [[1,3],[2],[5]]=>[2,1,1] [[1,5],[2],[3]]=>[2,1,1] [[1,2],[4],[5]]=>[2,1,1] [[1,4],[2],[5]]=>[2,1,1] [[1,5],[2],[4]]=>[2,1,1] [[1,5],[2],[5]]=>[2,1,1] [[1,3],[3],[5]]=>[2,1,1] [[1,3],[4],[5]]=>[2,1,1] [[1,4],[3],[5]]=>[2,1,1] [[1,5],[3],[4]]=>[2,1,1] [[1,5],[3],[5]]=>[2,1,1] [[1,4],[4],[5]]=>[2,1,1] [[1,5],[4],[5]]=>[2,1,1] [[2,2],[3],[5]]=>[2,1,1] [[2,2],[4],[5]]=>[2,1,1] [[2,3],[3],[5]]=>[2,1,1] [[2,3],[4],[5]]=>[2,1,1] [[2,4],[3],[5]]=>[2,1,1] [[2,5],[3],[4]]=>[2,1,1] [[2,5],[3],[5]]=>[2,1,1] [[2,4],[4],[5]]=>[2,1,1] [[2,5],[4],[5]]=>[2,1,1] [[3,3],[4],[5]]=>[2,1,1] [[3,4],[4],[5]]=>[2,1,1] [[3,5],[4],[5]]=>[2,1,1] [[1],[2],[3],[5]]=>[1,1,1,1] [[1],[2],[4],[5]]=>[1,1,1,1] [[1],[3],[4],[5]]=>[1,1,1,1] [[2],[3],[4],[5]]=>[1,1,1,1] [[1,1,1,6]]=>[4] [[1,1,2,6]]=>[4] [[1,1,3,6]]=>[4] [[1,1,4,6]]=>[4] [[1,1,5,6]]=>[4] [[1,1,6,6]]=>[4] [[1,2,2,6]]=>[4] [[1,2,3,6]]=>[4] [[1,2,4,6]]=>[4] [[1,2,5,6]]=>[4] [[1,2,6,6]]=>[4] [[1,3,3,6]]=>[4] [[1,3,4,6]]=>[4] [[1,3,5,6]]=>[4] [[1,3,6,6]]=>[4] [[1,4,4,6]]=>[4] [[1,4,5,6]]=>[4] [[1,4,6,6]]=>[4] [[1,5,5,6]]=>[4] [[1,5,6,6]]=>[4] [[1,6,6,6]]=>[4] [[2,2,2,6]]=>[4] [[2,2,3,6]]=>[4] [[2,2,4,6]]=>[4] [[2,2,5,6]]=>[4] [[2,2,6,6]]=>[4] [[2,3,3,6]]=>[4] [[2,3,4,6]]=>[4] [[2,3,5,6]]=>[4] [[2,3,6,6]]=>[4] [[2,4,4,6]]=>[4] [[2,4,5,6]]=>[4] [[2,4,6,6]]=>[4] [[2,5,5,6]]=>[4] [[2,5,6,6]]=>[4] [[2,6,6,6]]=>[4] [[3,3,3,6]]=>[4] [[3,3,4,6]]=>[4] [[3,3,5,6]]=>[4] [[3,3,6,6]]=>[4] [[3,4,4,6]]=>[4] [[3,4,5,6]]=>[4] [[3,4,6,6]]=>[4] [[3,5,5,6]]=>[4] [[3,5,6,6]]=>[4] [[3,6,6,6]]=>[4] [[4,4,4,6]]=>[4] [[4,4,5,6]]=>[4] [[4,4,6,6]]=>[4] [[4,5,5,6]]=>[4] [[4,5,6,6]]=>[4] [[4,6,6,6]]=>[4] [[5,5,5,6]]=>[4] [[5,5,6,6]]=>[4] [[5,6,6,6]]=>[4] [[6,6,6,6]]=>[4] [[1,1,1],[6]]=>[3,1] [[1,1,2],[6]]=>[3,1] [[1,1,6],[2]]=>[3,1] [[1,1,3],[6]]=>[3,1] [[1,1,6],[3]]=>[3,1] [[1,1,4],[6]]=>[3,1] [[1,1,6],[4]]=>[3,1] [[1,1,5],[6]]=>[3,1] [[1,1,6],[5]]=>[3,1] [[1,1,6],[6]]=>[3,1] [[1,2,2],[6]]=>[3,1] [[1,2,6],[2]]=>[3,1] [[1,2,3],[6]]=>[3,1] [[1,2,6],[3]]=>[3,1] [[1,3,6],[2]]=>[3,1] [[1,2,4],[6]]=>[3,1] [[1,2,6],[4]]=>[3,1] [[1,4,6],[2]]=>[3,1] [[1,2,5],[6]]=>[3,1] [[1,2,6],[5]]=>[3,1] [[1,5,6],[2]]=>[3,1] [[1,2,6],[6]]=>[3,1] [[1,6,6],[2]]=>[3,1] [[1,3,3],[6]]=>[3,1] [[1,3,6],[3]]=>[3,1] [[1,3,4],[6]]=>[3,1] [[1,3,6],[4]]=>[3,1] [[1,4,6],[3]]=>[3,1] [[1,3,5],[6]]=>[3,1] [[1,3,6],[5]]=>[3,1] [[1,5,6],[3]]=>[3,1] [[1,3,6],[6]]=>[3,1] [[1,6,6],[3]]=>[3,1] [[1,4,4],[6]]=>[3,1] [[1,4,6],[4]]=>[3,1] [[1,4,5],[6]]=>[3,1] [[1,4,6],[5]]=>[3,1] [[1,5,6],[4]]=>[3,1] [[1,4,6],[6]]=>[3,1] [[1,6,6],[4]]=>[3,1] [[1,5,5],[6]]=>[3,1] [[1,5,6],[5]]=>[3,1] [[1,5,6],[6]]=>[3,1] [[1,6,6],[5]]=>[3,1] [[1,6,6],[6]]=>[3,1] [[2,2,2],[6]]=>[3,1] [[2,2,3],[6]]=>[3,1] [[2,2,6],[3]]=>[3,1] [[2,2,4],[6]]=>[3,1] [[2,2,6],[4]]=>[3,1] [[2,2,5],[6]]=>[3,1] [[2,2,6],[5]]=>[3,1] [[2,2,6],[6]]=>[3,1] [[2,3,3],[6]]=>[3,1] [[2,3,6],[3]]=>[3,1] [[2,3,4],[6]]=>[3,1] [[2,3,6],[4]]=>[3,1] [[2,4,6],[3]]=>[3,1] [[2,3,5],[6]]=>[3,1] [[2,3,6],[5]]=>[3,1] [[2,5,6],[3]]=>[3,1] [[2,3,6],[6]]=>[3,1] [[2,6,6],[3]]=>[3,1] [[2,4,4],[6]]=>[3,1] [[2,4,6],[4]]=>[3,1] [[2,4,5],[6]]=>[3,1] [[2,4,6],[5]]=>[3,1] [[2,5,6],[4]]=>[3,1] [[2,4,6],[6]]=>[3,1] [[2,6,6],[4]]=>[3,1] [[2,5,5],[6]]=>[3,1] [[2,5,6],[5]]=>[3,1] [[2,5,6],[6]]=>[3,1] [[2,6,6],[5]]=>[3,1] [[2,6,6],[6]]=>[3,1] [[3,3,3],[6]]=>[3,1] [[3,3,4],[6]]=>[3,1] [[3,3,6],[4]]=>[3,1] [[3,3,5],[6]]=>[3,1] [[3,3,6],[5]]=>[3,1] [[3,3,6],[6]]=>[3,1] [[3,4,4],[6]]=>[3,1] [[3,4,6],[4]]=>[3,1] [[3,4,5],[6]]=>[3,1] [[3,4,6],[5]]=>[3,1] [[3,5,6],[4]]=>[3,1] [[3,4,6],[6]]=>[3,1] [[3,6,6],[4]]=>[3,1] [[3,5,5],[6]]=>[3,1] [[3,5,6],[5]]=>[3,1] [[3,5,6],[6]]=>[3,1] [[3,6,6],[5]]=>[3,1] [[3,6,6],[6]]=>[3,1] [[4,4,4],[6]]=>[3,1] [[4,4,5],[6]]=>[3,1] [[4,4,6],[5]]=>[3,1] [[4,4,6],[6]]=>[3,1] [[4,5,5],[6]]=>[3,1] [[4,5,6],[5]]=>[3,1] [[4,5,6],[6]]=>[3,1] [[4,6,6],[5]]=>[3,1] [[4,6,6],[6]]=>[3,1] [[5,5,5],[6]]=>[3,1] [[5,5,6],[6]]=>[3,1] [[5,6,6],[6]]=>[3,1] [[1,1],[2,6]]=>[2,2] [[1,1],[3,6]]=>[2,2] [[1,1],[4,6]]=>[2,2] [[1,1],[5,6]]=>[2,2] [[1,1],[6,6]]=>[2,2] [[1,2],[2,6]]=>[2,2] [[1,2],[3,6]]=>[2,2] [[1,3],[2,6]]=>[2,2] [[1,2],[4,6]]=>[2,2] [[1,4],[2,6]]=>[2,2] [[1,2],[5,6]]=>[2,2] [[1,5],[2,6]]=>[2,2] [[1,2],[6,6]]=>[2,2] [[1,3],[3,6]]=>[2,2] [[1,3],[4,6]]=>[2,2] [[1,4],[3,6]]=>[2,2] [[1,3],[5,6]]=>[2,2] [[1,5],[3,6]]=>[2,2] [[1,3],[6,6]]=>[2,2] [[1,4],[4,6]]=>[2,2] [[1,4],[5,6]]=>[2,2] [[1,5],[4,6]]=>[2,2] [[1,4],[6,6]]=>[2,2] [[1,5],[5,6]]=>[2,2] [[1,5],[6,6]]=>[2,2] [[2,2],[3,6]]=>[2,2] [[2,2],[4,6]]=>[2,2] [[2,2],[5,6]]=>[2,2] [[2,2],[6,6]]=>[2,2] [[2,3],[3,6]]=>[2,2] [[2,3],[4,6]]=>[2,2] [[2,4],[3,6]]=>[2,2] [[2,3],[5,6]]=>[2,2] [[2,5],[3,6]]=>[2,2] [[2,3],[6,6]]=>[2,2] [[2,4],[4,6]]=>[2,2] [[2,4],[5,6]]=>[2,2] [[2,5],[4,6]]=>[2,2] [[2,4],[6,6]]=>[2,2] [[2,5],[5,6]]=>[2,2] [[2,5],[6,6]]=>[2,2] [[3,3],[4,6]]=>[2,2] [[3,3],[5,6]]=>[2,2] [[3,3],[6,6]]=>[2,2] [[3,4],[4,6]]=>[2,2] [[3,4],[5,6]]=>[2,2] [[3,5],[4,6]]=>[2,2] [[3,4],[6,6]]=>[2,2] [[3,5],[5,6]]=>[2,2] [[3,5],[6,6]]=>[2,2] [[4,4],[5,6]]=>[2,2] [[4,4],[6,6]]=>[2,2] [[4,5],[5,6]]=>[2,2] [[4,5],[6,6]]=>[2,2] [[5,5],[6,6]]=>[2,2] [[1,1],[2],[6]]=>[2,1,1] [[1,1],[3],[6]]=>[2,1,1] [[1,1],[4],[6]]=>[2,1,1] [[1,1],[5],[6]]=>[2,1,1] [[1,2],[2],[6]]=>[2,1,1] [[1,2],[3],[6]]=>[2,1,1] [[1,3],[2],[6]]=>[2,1,1] [[1,6],[2],[3]]=>[2,1,1] [[1,2],[4],[6]]=>[2,1,1] [[1,4],[2],[6]]=>[2,1,1] [[1,6],[2],[4]]=>[2,1,1] [[1,2],[5],[6]]=>[2,1,1] [[1,5],[2],[6]]=>[2,1,1] [[1,6],[2],[5]]=>[2,1,1] [[1,6],[2],[6]]=>[2,1,1] [[1,3],[3],[6]]=>[2,1,1] [[1,3],[4],[6]]=>[2,1,1] [[1,4],[3],[6]]=>[2,1,1] [[1,6],[3],[4]]=>[2,1,1] [[1,3],[5],[6]]=>[2,1,1] [[1,5],[3],[6]]=>[2,1,1] [[1,6],[3],[5]]=>[2,1,1] [[1,6],[3],[6]]=>[2,1,1] [[1,4],[4],[6]]=>[2,1,1] [[1,4],[5],[6]]=>[2,1,1] [[1,5],[4],[6]]=>[2,1,1] [[1,6],[4],[5]]=>[2,1,1] [[1,6],[4],[6]]=>[2,1,1] [[1,5],[5],[6]]=>[2,1,1] [[1,6],[5],[6]]=>[2,1,1] [[2,2],[3],[6]]=>[2,1,1] [[2,2],[4],[6]]=>[2,1,1] [[2,2],[5],[6]]=>[2,1,1] [[2,3],[3],[6]]=>[2,1,1] [[2,3],[4],[6]]=>[2,1,1] [[2,4],[3],[6]]=>[2,1,1] [[2,6],[3],[4]]=>[2,1,1] [[2,3],[5],[6]]=>[2,1,1] [[2,5],[3],[6]]=>[2,1,1] [[2,6],[3],[5]]=>[2,1,1] [[2,6],[3],[6]]=>[2,1,1] [[2,4],[4],[6]]=>[2,1,1] [[2,4],[5],[6]]=>[2,1,1] [[2,5],[4],[6]]=>[2,1,1] [[2,6],[4],[5]]=>[2,1,1] [[2,6],[4],[6]]=>[2,1,1] [[2,5],[5],[6]]=>[2,1,1] [[2,6],[5],[6]]=>[2,1,1] [[3,3],[4],[6]]=>[2,1,1] [[3,3],[5],[6]]=>[2,1,1] [[3,4],[4],[6]]=>[2,1,1] [[3,4],[5],[6]]=>[2,1,1] [[3,5],[4],[6]]=>[2,1,1] [[3,6],[4],[5]]=>[2,1,1] [[3,6],[4],[6]]=>[2,1,1] [[3,5],[5],[6]]=>[2,1,1] [[3,6],[5],[6]]=>[2,1,1] [[4,4],[5],[6]]=>[2,1,1] [[4,5],[5],[6]]=>[2,1,1] [[4,6],[5],[6]]=>[2,1,1] [[1],[2],[3],[6]]=>[1,1,1,1] [[1],[2],[4],[6]]=>[1,1,1,1] [[1],[2],[5],[6]]=>[1,1,1,1] [[1],[3],[4],[6]]=>[1,1,1,1] [[1],[3],[5],[6]]=>[1,1,1,1] [[1],[4],[5],[6]]=>[1,1,1,1] [[2],[3],[4],[6]]=>[1,1,1,1] [[2],[3],[5],[6]]=>[1,1,1,1] [[2],[4],[5],[6]]=>[1,1,1,1] [[3],[4],[5],[6]]=>[1,1,1,1] [[1,1,1,1,1]]=>[5] [[1,1,1,1,2]]=>[5] [[1,1,1,2,2]]=>[5] [[1,1,2,2,2]]=>[5] [[1,2,2,2,2]]=>[5] [[2,2,2,2,2]]=>[5] [[1,1,1,1],[2]]=>[4,1] [[1,1,1,2],[2]]=>[4,1] [[1,1,2,2],[2]]=>[4,1] [[1,2,2,2],[2]]=>[4,1] [[1,1,1],[2,2]]=>[3,2] [[1,1,2],[2,2]]=>[3,2] [[1,1,1,1,3]]=>[5] [[1,1,1,2,3]]=>[5] [[1,1,1,3,3]]=>[5] [[1,1,2,2,3]]=>[5] [[1,1,2,3,3]]=>[5] [[1,1,3,3,3]]=>[5] [[1,2,2,2,3]]=>[5] [[1,2,2,3,3]]=>[5] [[1,2,3,3,3]]=>[5] [[1,3,3,3,3]]=>[5] [[2,2,2,2,3]]=>[5] [[2,2,2,3,3]]=>[5] [[2,2,3,3,3]]=>[5] [[2,3,3,3,3]]=>[5] [[3,3,3,3,3]]=>[5] [[1,1,1,1],[3]]=>[4,1] [[1,1,1,2],[3]]=>[4,1] [[1,1,1,3],[2]]=>[4,1] [[1,1,1,3],[3]]=>[4,1] [[1,1,2,2],[3]]=>[4,1] [[1,1,2,3],[2]]=>[4,1] [[1,1,2,3],[3]]=>[4,1] [[1,1,3,3],[2]]=>[4,1] [[1,1,3,3],[3]]=>[4,1] [[1,2,2,2],[3]]=>[4,1] [[1,2,2,3],[2]]=>[4,1] [[1,2,2,3],[3]]=>[4,1] [[1,2,3,3],[2]]=>[4,1] [[1,2,3,3],[3]]=>[4,1] [[1,3,3,3],[2]]=>[4,1] [[1,3,3,3],[3]]=>[4,1] [[2,2,2,2],[3]]=>[4,1] [[2,2,2,3],[3]]=>[4,1] [[2,2,3,3],[3]]=>[4,1] [[2,3,3,3],[3]]=>[4,1] [[1,1,1],[2,3]]=>[3,2] [[1,1,1],[3,3]]=>[3,2] [[1,1,2],[2,3]]=>[3,2] [[1,1,3],[2,2]]=>[3,2] [[1,1,2],[3,3]]=>[3,2] [[1,1,3],[2,3]]=>[3,2] [[1,1,3],[3,3]]=>[3,2] [[1,2,2],[2,3]]=>[3,2] [[1,2,2],[3,3]]=>[3,2] [[1,2,3],[2,3]]=>[3,2] [[1,2,3],[3,3]]=>[3,2] [[2,2,2],[3,3]]=>[3,2] [[2,2,3],[3,3]]=>[3,2] [[1,1,1],[2],[3]]=>[3,1,1] [[1,1,2],[2],[3]]=>[3,1,1] [[1,1,3],[2],[3]]=>[3,1,1] [[1,2,2],[2],[3]]=>[3,1,1] [[1,2,3],[2],[3]]=>[3,1,1] [[1,3,3],[2],[3]]=>[3,1,1] [[1,1],[2,2],[3]]=>[2,2,1] [[1,1],[2,3],[3]]=>[2,2,1] [[1,2],[2,3],[3]]=>[2,2,1] [[1,1,1,1,4]]=>[5] [[1,1,1,2,4]]=>[5] [[1,1,1,3,4]]=>[5] [[1,1,1,4,4]]=>[5] [[1,1,2,2,4]]=>[5] [[1,1,2,3,4]]=>[5] [[1,1,2,4,4]]=>[5] [[1,1,3,3,4]]=>[5] [[1,1,3,4,4]]=>[5] [[1,1,4,4,4]]=>[5] [[1,2,2,2,4]]=>[5] [[1,2,2,3,4]]=>[5] [[1,2,2,4,4]]=>[5] [[1,2,3,3,4]]=>[5] [[1,2,3,4,4]]=>[5] [[1,2,4,4,4]]=>[5] [[1,3,3,3,4]]=>[5] [[1,3,3,4,4]]=>[5] [[1,3,4,4,4]]=>[5] [[1,4,4,4,4]]=>[5] [[2,2,2,2,4]]=>[5] [[2,2,2,3,4]]=>[5] [[2,2,2,4,4]]=>[5] [[2,2,3,3,4]]=>[5] [[2,2,3,4,4]]=>[5] [[2,2,4,4,4]]=>[5] [[2,3,3,3,4]]=>[5] [[2,3,3,4,4]]=>[5] [[2,3,4,4,4]]=>[5] [[2,4,4,4,4]]=>[5] [[3,3,3,3,4]]=>[5] [[3,3,3,4,4]]=>[5] [[3,3,4,4,4]]=>[5] [[3,4,4,4,4]]=>[5] [[4,4,4,4,4]]=>[5] [[1,1,1,1],[4]]=>[4,1] [[1,1,1,2],[4]]=>[4,1] [[1,1,1,4],[2]]=>[4,1] [[1,1,1,3],[4]]=>[4,1] [[1,1,1,4],[3]]=>[4,1] [[1,1,1,4],[4]]=>[4,1] [[1,1,2,2],[4]]=>[4,1] [[1,1,2,4],[2]]=>[4,1] [[1,1,2,3],[4]]=>[4,1] [[1,1,2,4],[3]]=>[4,1] [[1,1,3,4],[2]]=>[4,1] [[1,1,2,4],[4]]=>[4,1] [[1,1,4,4],[2]]=>[4,1] [[1,1,3,3],[4]]=>[4,1] [[1,1,3,4],[3]]=>[4,1] [[1,1,3,4],[4]]=>[4,1] [[1,1,4,4],[3]]=>[4,1] [[1,1,4,4],[4]]=>[4,1] [[1,2,2,2],[4]]=>[4,1] [[1,2,2,4],[2]]=>[4,1] [[1,2,2,3],[4]]=>[4,1] [[1,2,2,4],[3]]=>[4,1] [[1,2,3,4],[2]]=>[4,1] [[1,2,2,4],[4]]=>[4,1] [[1,2,4,4],[2]]=>[4,1] [[1,2,3,3],[4]]=>[4,1] [[1,2,3,4],[3]]=>[4,1] [[1,3,3,4],[2]]=>[4,1] [[1,2,3,4],[4]]=>[4,1] [[1,2,4,4],[3]]=>[4,1] [[1,3,4,4],[2]]=>[4,1] [[1,2,4,4],[4]]=>[4,1] [[1,4,4,4],[2]]=>[4,1] [[1,3,3,3],[4]]=>[4,1] [[1,3,3,4],[3]]=>[4,1] [[1,3,3,4],[4]]=>[4,1] [[1,3,4,4],[3]]=>[4,1] [[1,3,4,4],[4]]=>[4,1] [[1,4,4,4],[3]]=>[4,1] [[1,4,4,4],[4]]=>[4,1] [[2,2,2,2],[4]]=>[4,1] [[2,2,2,3],[4]]=>[4,1] [[2,2,2,4],[3]]=>[4,1] [[2,2,2,4],[4]]=>[4,1] [[2,2,3,3],[4]]=>[4,1] [[2,2,3,4],[3]]=>[4,1] [[2,2,3,4],[4]]=>[4,1] [[2,2,4,4],[3]]=>[4,1] [[2,2,4,4],[4]]=>[4,1] [[2,3,3,3],[4]]=>[4,1] [[2,3,3,4],[3]]=>[4,1] [[2,3,3,4],[4]]=>[4,1] [[2,3,4,4],[3]]=>[4,1] [[2,3,4,4],[4]]=>[4,1] [[2,4,4,4],[3]]=>[4,1] [[2,4,4,4],[4]]=>[4,1] [[3,3,3,3],[4]]=>[4,1] [[3,3,3,4],[4]]=>[4,1] [[3,3,4,4],[4]]=>[4,1] [[3,4,4,4],[4]]=>[4,1] [[1,1,1],[2,4]]=>[3,2] [[1,1,1],[3,4]]=>[3,2] [[1,1,1],[4,4]]=>[3,2] [[1,1,2],[2,4]]=>[3,2] [[1,1,4],[2,2]]=>[3,2] [[1,1,2],[3,4]]=>[3,2] [[1,1,3],[2,4]]=>[3,2] [[1,1,4],[2,3]]=>[3,2] [[1,1,2],[4,4]]=>[3,2] [[1,1,4],[2,4]]=>[3,2] [[1,1,3],[3,4]]=>[3,2] [[1,1,4],[3,3]]=>[3,2] [[1,1,3],[4,4]]=>[3,2] [[1,1,4],[3,4]]=>[3,2] [[1,1,4],[4,4]]=>[3,2] [[1,2,2],[2,4]]=>[3,2] [[1,2,2],[3,4]]=>[3,2] [[1,2,3],[2,4]]=>[3,2] [[1,2,4],[2,3]]=>[3,2] [[1,2,2],[4,4]]=>[3,2] [[1,2,4],[2,4]]=>[3,2] [[1,2,3],[3,4]]=>[3,2] [[1,2,4],[3,3]]=>[3,2] [[1,3,3],[2,4]]=>[3,2] [[1,2,3],[4,4]]=>[3,2] [[1,2,4],[3,4]]=>[3,2] [[1,3,4],[2,4]]=>[3,2] [[1,2,4],[4,4]]=>[3,2] [[1,3,3],[3,4]]=>[3,2] [[1,3,3],[4,4]]=>[3,2] [[1,3,4],[3,4]]=>[3,2] [[1,3,4],[4,4]]=>[3,2] [[2,2,2],[3,4]]=>[3,2] [[2,2,2],[4,4]]=>[3,2] [[2,2,3],[3,4]]=>[3,2] [[2,2,4],[3,3]]=>[3,2] [[2,2,3],[4,4]]=>[3,2] [[2,2,4],[3,4]]=>[3,2] [[2,2,4],[4,4]]=>[3,2] [[2,3,3],[3,4]]=>[3,2] [[2,3,3],[4,4]]=>[3,2] [[2,3,4],[3,4]]=>[3,2] [[2,3,4],[4,4]]=>[3,2] [[3,3,3],[4,4]]=>[3,2] [[3,3,4],[4,4]]=>[3,2] [[1,1,1],[2],[4]]=>[3,1,1] [[1,1,1],[3],[4]]=>[3,1,1] [[1,1,2],[2],[4]]=>[3,1,1] [[1,1,2],[3],[4]]=>[3,1,1] [[1,1,3],[2],[4]]=>[3,1,1] [[1,1,4],[2],[3]]=>[3,1,1] [[1,1,4],[2],[4]]=>[3,1,1] [[1,1,3],[3],[4]]=>[3,1,1] [[1,1,4],[3],[4]]=>[3,1,1] [[1,2,2],[2],[4]]=>[3,1,1] [[1,2,2],[3],[4]]=>[3,1,1] [[1,2,3],[2],[4]]=>[3,1,1] [[1,2,4],[2],[3]]=>[3,1,1] [[1,2,4],[2],[4]]=>[3,1,1] [[1,2,3],[3],[4]]=>[3,1,1] [[1,3,3],[2],[4]]=>[3,1,1] [[1,3,4],[2],[3]]=>[3,1,1] [[1,2,4],[3],[4]]=>[3,1,1] [[1,3,4],[2],[4]]=>[3,1,1] [[1,4,4],[2],[3]]=>[3,1,1] [[1,4,4],[2],[4]]=>[3,1,1] [[1,3,3],[3],[4]]=>[3,1,1] [[1,3,4],[3],[4]]=>[3,1,1] [[1,4,4],[3],[4]]=>[3,1,1] [[2,2,2],[3],[4]]=>[3,1,1] [[2,2,3],[3],[4]]=>[3,1,1] [[2,2,4],[3],[4]]=>[3,1,1] [[2,3,3],[3],[4]]=>[3,1,1] [[2,3,4],[3],[4]]=>[3,1,1] [[2,4,4],[3],[4]]=>[3,1,1] [[1,1],[2,2],[4]]=>[2,2,1] [[1,1],[2,3],[4]]=>[2,2,1] [[1,1],[2,4],[3]]=>[2,2,1] [[1,1],[2,4],[4]]=>[2,2,1] [[1,1],[3,3],[4]]=>[2,2,1] [[1,1],[3,4],[4]]=>[2,2,1] [[1,2],[2,3],[4]]=>[2,2,1] [[1,2],[2,4],[3]]=>[2,2,1] [[1,2],[2,4],[4]]=>[2,2,1] [[1,2],[3,3],[4]]=>[2,2,1] [[1,3],[2,4],[3]]=>[2,2,1] [[1,2],[3,4],[4]]=>[2,2,1] [[1,3],[2,4],[4]]=>[2,2,1] [[1,3],[3,4],[4]]=>[2,2,1] [[2,2],[3,3],[4]]=>[2,2,1] [[2,2],[3,4],[4]]=>[2,2,1] [[2,3],[3,4],[4]]=>[2,2,1] [[1,1],[2],[3],[4]]=>[2,1,1,1] [[1,2],[2],[3],[4]]=>[2,1,1,1] [[1,3],[2],[3],[4]]=>[2,1,1,1] [[1,4],[2],[3],[4]]=>[2,1,1,1] [[1,1,1,1,5]]=>[5] [[1,1,1,2,5]]=>[5] [[1,1,1,3,5]]=>[5] [[1,1,1,4,5]]=>[5] [[1,1,1,5,5]]=>[5] [[1,1,2,2,5]]=>[5] [[1,1,2,3,5]]=>[5] [[1,1,2,4,5]]=>[5] [[1,1,2,5,5]]=>[5] [[1,1,3,3,5]]=>[5] [[1,1,3,4,5]]=>[5] [[1,1,3,5,5]]=>[5] [[1,1,4,4,5]]=>[5] [[1,1,4,5,5]]=>[5] [[1,1,5,5,5]]=>[5] [[1,2,2,2,5]]=>[5] [[1,2,2,3,5]]=>[5] [[1,2,2,4,5]]=>[5] [[1,2,2,5,5]]=>[5] [[1,2,3,3,5]]=>[5] [[1,2,3,4,5]]=>[5] [[1,2,3,5,5]]=>[5] [[1,2,4,4,5]]=>[5] [[1,2,4,5,5]]=>[5] [[1,2,5,5,5]]=>[5] [[1,3,3,3,5]]=>[5] [[1,3,3,4,5]]=>[5] [[1,3,3,5,5]]=>[5] [[1,3,4,4,5]]=>[5] [[1,3,4,5,5]]=>[5] [[1,3,5,5,5]]=>[5] [[1,4,4,4,5]]=>[5] [[1,4,4,5,5]]=>[5] [[1,4,5,5,5]]=>[5] [[1,5,5,5,5]]=>[5] [[2,2,2,2,5]]=>[5] [[2,2,2,3,5]]=>[5] [[2,2,2,4,5]]=>[5] [[2,2,2,5,5]]=>[5] [[2,2,3,3,5]]=>[5] [[2,2,3,4,5]]=>[5] [[2,2,3,5,5]]=>[5] [[2,2,4,4,5]]=>[5] [[2,2,4,5,5]]=>[5] [[2,2,5,5,5]]=>[5] [[2,3,3,3,5]]=>[5] [[2,3,3,4,5]]=>[5] [[2,3,3,5,5]]=>[5] [[2,3,4,4,5]]=>[5] [[2,3,4,5,5]]=>[5] [[2,3,5,5,5]]=>[5] [[2,4,4,4,5]]=>[5] [[2,4,4,5,5]]=>[5] [[2,4,5,5,5]]=>[5] [[2,5,5,5,5]]=>[5] [[3,3,3,3,5]]=>[5] [[3,3,3,4,5]]=>[5] [[3,3,3,5,5]]=>[5] [[3,3,4,4,5]]=>[5] [[3,3,4,5,5]]=>[5] [[3,3,5,5,5]]=>[5] [[3,4,4,4,5]]=>[5] [[3,4,4,5,5]]=>[5] [[3,4,5,5,5]]=>[5] [[3,5,5,5,5]]=>[5] [[4,4,4,4,5]]=>[5] [[4,4,4,5,5]]=>[5] [[4,4,5,5,5]]=>[5] [[4,5,5,5,5]]=>[5] [[5,5,5,5,5]]=>[5] [[1,1,1,1],[5]]=>[4,1] [[1,1,1,2],[5]]=>[4,1] [[1,1,1,5],[2]]=>[4,1] [[1,1,1,3],[5]]=>[4,1] [[1,1,1,5],[3]]=>[4,1] [[1,1,1,4],[5]]=>[4,1] [[1,1,1,5],[4]]=>[4,1] [[1,1,1,5],[5]]=>[4,1] [[1,1,2,2],[5]]=>[4,1] [[1,1,2,5],[2]]=>[4,1] [[1,1,2,3],[5]]=>[4,1] [[1,1,2,5],[3]]=>[4,1] [[1,1,3,5],[2]]=>[4,1] [[1,1,2,4],[5]]=>[4,1] [[1,1,2,5],[4]]=>[4,1] [[1,1,4,5],[2]]=>[4,1] [[1,1,2,5],[5]]=>[4,1] [[1,1,5,5],[2]]=>[4,1] [[1,1,3,3],[5]]=>[4,1] [[1,1,3,5],[3]]=>[4,1] [[1,1,3,4],[5]]=>[4,1] [[1,1,3,5],[4]]=>[4,1] [[1,1,4,5],[3]]=>[4,1] [[1,1,3,5],[5]]=>[4,1] [[1,1,5,5],[3]]=>[4,1] [[1,1,4,4],[5]]=>[4,1] [[1,1,4,5],[4]]=>[4,1] [[1,1,4,5],[5]]=>[4,1] [[1,1,5,5],[4]]=>[4,1] [[1,1,5,5],[5]]=>[4,1] [[1,2,2,2],[5]]=>[4,1] [[1,2,2,5],[2]]=>[4,1] [[1,2,2,3],[5]]=>[4,1] [[1,2,2,5],[3]]=>[4,1] [[1,2,3,5],[2]]=>[4,1] [[1,2,2,4],[5]]=>[4,1] [[1,2,2,5],[4]]=>[4,1] [[1,2,4,5],[2]]=>[4,1] [[1,2,2,5],[5]]=>[4,1] [[1,2,5,5],[2]]=>[4,1] [[1,2,3,3],[5]]=>[4,1] [[1,2,3,5],[3]]=>[4,1] [[1,3,3,5],[2]]=>[4,1] [[1,2,3,4],[5]]=>[4,1] [[1,2,3,5],[4]]=>[4,1] [[1,2,4,5],[3]]=>[4,1] [[1,3,4,5],[2]]=>[4,1] [[1,2,3,5],[5]]=>[4,1] [[1,2,5,5],[3]]=>[4,1] [[1,3,5,5],[2]]=>[4,1] [[1,2,4,4],[5]]=>[4,1] [[1,2,4,5],[4]]=>[4,1] [[1,4,4,5],[2]]=>[4,1] [[1,2,4,5],[5]]=>[4,1] [[1,2,5,5],[4]]=>[4,1] [[1,4,5,5],[2]]=>[4,1] [[1,2,5,5],[5]]=>[4,1] [[1,5,5,5],[2]]=>[4,1] [[1,3,3,3],[5]]=>[4,1] [[1,3,3,5],[3]]=>[4,1] [[1,3,3,4],[5]]=>[4,1] [[1,3,3,5],[4]]=>[4,1] [[1,3,4,5],[3]]=>[4,1] [[1,3,3,5],[5]]=>[4,1] [[1,3,5,5],[3]]=>[4,1] [[1,3,4,4],[5]]=>[4,1] [[1,3,4,5],[4]]=>[4,1] [[1,4,4,5],[3]]=>[4,1] [[1,3,4,5],[5]]=>[4,1] [[1,3,5,5],[4]]=>[4,1] [[1,4,5,5],[3]]=>[4,1] [[1,3,5,5],[5]]=>[4,1] [[1,5,5,5],[3]]=>[4,1] [[1,4,4,4],[5]]=>[4,1] [[1,4,4,5],[4]]=>[4,1] [[1,4,4,5],[5]]=>[4,1] [[1,4,5,5],[4]]=>[4,1] [[1,4,5,5],[5]]=>[4,1] [[1,5,5,5],[4]]=>[4,1] [[1,5,5,5],[5]]=>[4,1] [[2,2,2,2],[5]]=>[4,1] [[2,2,2,3],[5]]=>[4,1] [[2,2,2,5],[3]]=>[4,1] [[2,2,2,4],[5]]=>[4,1] [[2,2,2,5],[4]]=>[4,1] [[2,2,2,5],[5]]=>[4,1] [[2,2,3,3],[5]]=>[4,1] [[2,2,3,5],[3]]=>[4,1] [[2,2,3,4],[5]]=>[4,1] [[2,2,3,5],[4]]=>[4,1] [[2,2,4,5],[3]]=>[4,1] [[2,2,3,5],[5]]=>[4,1] [[2,2,5,5],[3]]=>[4,1] [[2,2,4,4],[5]]=>[4,1] [[2,2,4,5],[4]]=>[4,1] [[2,2,4,5],[5]]=>[4,1] [[2,2,5,5],[4]]=>[4,1] [[2,2,5,5],[5]]=>[4,1] [[2,3,3,3],[5]]=>[4,1] [[2,3,3,5],[3]]=>[4,1] [[2,3,3,4],[5]]=>[4,1] [[2,3,3,5],[4]]=>[4,1] [[2,3,4,5],[3]]=>[4,1] [[2,3,3,5],[5]]=>[4,1] [[2,3,5,5],[3]]=>[4,1] [[2,3,4,4],[5]]=>[4,1] [[2,3,4,5],[4]]=>[4,1] [[2,4,4,5],[3]]=>[4,1] [[2,3,4,5],[5]]=>[4,1] [[2,3,5,5],[4]]=>[4,1] [[2,4,5,5],[3]]=>[4,1] [[2,3,5,5],[5]]=>[4,1] [[2,5,5,5],[3]]=>[4,1] [[2,4,4,4],[5]]=>[4,1] [[2,4,4,5],[4]]=>[4,1] [[2,4,4,5],[5]]=>[4,1] [[2,4,5,5],[4]]=>[4,1] [[2,4,5,5],[5]]=>[4,1] [[2,5,5,5],[4]]=>[4,1] [[2,5,5,5],[5]]=>[4,1] [[3,3,3,3],[5]]=>[4,1] [[3,3,3,4],[5]]=>[4,1] [[3,3,3,5],[4]]=>[4,1] [[3,3,3,5],[5]]=>[4,1] [[3,3,4,4],[5]]=>[4,1] [[3,3,4,5],[4]]=>[4,1] [[3,3,4,5],[5]]=>[4,1] [[3,3,5,5],[4]]=>[4,1] [[3,3,5,5],[5]]=>[4,1] [[3,4,4,4],[5]]=>[4,1] [[3,4,4,5],[4]]=>[4,1] [[3,4,4,5],[5]]=>[4,1] [[3,4,5,5],[4]]=>[4,1] [[3,4,5,5],[5]]=>[4,1] [[3,5,5,5],[4]]=>[4,1] [[3,5,5,5],[5]]=>[4,1] [[4,4,4,4],[5]]=>[4,1] [[4,4,4,5],[5]]=>[4,1] [[4,4,5,5],[5]]=>[4,1] [[4,5,5,5],[5]]=>[4,1] [[1,1,1],[2,5]]=>[3,2] [[1,1,1],[3,5]]=>[3,2] [[1,1,1],[4,5]]=>[3,2] [[1,1,1],[5,5]]=>[3,2] [[1,1,2],[2,5]]=>[3,2] [[1,1,5],[2,2]]=>[3,2] [[1,1,2],[3,5]]=>[3,2] [[1,1,3],[2,5]]=>[3,2] [[1,1,5],[2,3]]=>[3,2] [[1,1,2],[4,5]]=>[3,2] [[1,1,4],[2,5]]=>[3,2] [[1,1,5],[2,4]]=>[3,2] [[1,1,2],[5,5]]=>[3,2] [[1,1,5],[2,5]]=>[3,2] [[1,1,3],[3,5]]=>[3,2] [[1,1,5],[3,3]]=>[3,2] [[1,1,3],[4,5]]=>[3,2] [[1,1,4],[3,5]]=>[3,2] [[1,1,5],[3,4]]=>[3,2] [[1,1,3],[5,5]]=>[3,2] [[1,1,5],[3,5]]=>[3,2] [[1,1,4],[4,5]]=>[3,2] [[1,1,5],[4,4]]=>[3,2] [[1,1,4],[5,5]]=>[3,2] [[1,1,5],[4,5]]=>[3,2] [[1,1,5],[5,5]]=>[3,2] [[1,2,2],[2,5]]=>[3,2] [[1,2,2],[3,5]]=>[3,2] [[1,2,3],[2,5]]=>[3,2] [[1,2,5],[2,3]]=>[3,2] [[1,2,2],[4,5]]=>[3,2] [[1,2,4],[2,5]]=>[3,2] [[1,2,5],[2,4]]=>[3,2] [[1,2,2],[5,5]]=>[3,2] [[1,2,5],[2,5]]=>[3,2] [[1,2,3],[3,5]]=>[3,2] [[1,2,5],[3,3]]=>[3,2] [[1,3,3],[2,5]]=>[3,2] [[1,2,3],[4,5]]=>[3,2] [[1,2,4],[3,5]]=>[3,2] [[1,2,5],[3,4]]=>[3,2] [[1,3,4],[2,5]]=>[3,2] [[1,3,5],[2,4]]=>[3,2] [[1,2,3],[5,5]]=>[3,2] [[1,2,5],[3,5]]=>[3,2] [[1,3,5],[2,5]]=>[3,2] [[1,2,4],[4,5]]=>[3,2] [[1,2,5],[4,4]]=>[3,2] [[1,4,4],[2,5]]=>[3,2] [[1,2,4],[5,5]]=>[3,2] [[1,2,5],[4,5]]=>[3,2] [[1,4,5],[2,5]]=>[3,2] [[1,2,5],[5,5]]=>[3,2] [[1,3,3],[3,5]]=>[3,2] [[1,3,3],[4,5]]=>[3,2] [[1,3,4],[3,5]]=>[3,2] [[1,3,5],[3,4]]=>[3,2] [[1,3,3],[5,5]]=>[3,2] [[1,3,5],[3,5]]=>[3,2] [[1,3,4],[4,5]]=>[3,2] [[1,3,5],[4,4]]=>[3,2] [[1,4,4],[3,5]]=>[3,2] [[1,3,4],[5,5]]=>[3,2] [[1,3,5],[4,5]]=>[3,2] [[1,4,5],[3,5]]=>[3,2] [[1,3,5],[5,5]]=>[3,2] [[1,4,4],[4,5]]=>[3,2] [[1,4,4],[5,5]]=>[3,2] [[1,4,5],[4,5]]=>[3,2] [[1,4,5],[5,5]]=>[3,2] [[2,2,2],[3,5]]=>[3,2] [[2,2,2],[4,5]]=>[3,2] [[2,2,2],[5,5]]=>[3,2] [[2,2,3],[3,5]]=>[3,2] [[2,2,5],[3,3]]=>[3,2] [[2,2,3],[4,5]]=>[3,2] [[2,2,4],[3,5]]=>[3,2] [[2,2,5],[3,4]]=>[3,2] [[2,2,3],[5,5]]=>[3,2] [[2,2,5],[3,5]]=>[3,2] [[2,2,4],[4,5]]=>[3,2] [[2,2,5],[4,4]]=>[3,2] [[2,2,4],[5,5]]=>[3,2] [[2,2,5],[4,5]]=>[3,2] [[2,2,5],[5,5]]=>[3,2] [[2,3,3],[3,5]]=>[3,2] [[2,3,3],[4,5]]=>[3,2] [[2,3,4],[3,5]]=>[3,2] [[2,3,5],[3,4]]=>[3,2] [[2,3,3],[5,5]]=>[3,2] [[2,3,5],[3,5]]=>[3,2] [[2,3,4],[4,5]]=>[3,2] [[2,3,5],[4,4]]=>[3,2] [[2,4,4],[3,5]]=>[3,2] [[2,3,4],[5,5]]=>[3,2] [[2,3,5],[4,5]]=>[3,2] [[2,4,5],[3,5]]=>[3,2] [[2,3,5],[5,5]]=>[3,2] [[2,4,4],[4,5]]=>[3,2] [[2,4,4],[5,5]]=>[3,2] [[2,4,5],[4,5]]=>[3,2] [[2,4,5],[5,5]]=>[3,2] [[3,3,3],[4,5]]=>[3,2] [[3,3,3],[5,5]]=>[3,2] [[3,3,4],[4,5]]=>[3,2] [[3,3,5],[4,4]]=>[3,2] [[3,3,4],[5,5]]=>[3,2] [[3,3,5],[4,5]]=>[3,2] [[3,3,5],[5,5]]=>[3,2] [[3,4,4],[4,5]]=>[3,2] [[3,4,4],[5,5]]=>[3,2] [[3,4,5],[4,5]]=>[3,2] [[3,4,5],[5,5]]=>[3,2] [[4,4,4],[5,5]]=>[3,2] [[4,4,5],[5,5]]=>[3,2] [[1,1,1],[2],[5]]=>[3,1,1] [[1,1,1],[3],[5]]=>[3,1,1] [[1,1,1],[4],[5]]=>[3,1,1] [[1,1,2],[2],[5]]=>[3,1,1] [[1,1,2],[3],[5]]=>[3,1,1] [[1,1,3],[2],[5]]=>[3,1,1] [[1,1,5],[2],[3]]=>[3,1,1] [[1,1,2],[4],[5]]=>[3,1,1] [[1,1,4],[2],[5]]=>[3,1,1] [[1,1,5],[2],[4]]=>[3,1,1] [[1,1,5],[2],[5]]=>[3,1,1] [[1,1,3],[3],[5]]=>[3,1,1] [[1,1,3],[4],[5]]=>[3,1,1] [[1,1,4],[3],[5]]=>[3,1,1] [[1,1,5],[3],[4]]=>[3,1,1] [[1,1,5],[3],[5]]=>[3,1,1] [[1,1,4],[4],[5]]=>[3,1,1] [[1,1,5],[4],[5]]=>[3,1,1] [[1,2,2],[2],[5]]=>[3,1,1] [[1,2,2],[3],[5]]=>[3,1,1] [[1,2,3],[2],[5]]=>[3,1,1] [[1,2,5],[2],[3]]=>[3,1,1] [[1,2,2],[4],[5]]=>[3,1,1] [[1,2,4],[2],[5]]=>[3,1,1] [[1,2,5],[2],[4]]=>[3,1,1] [[1,2,5],[2],[5]]=>[3,1,1] [[1,2,3],[3],[5]]=>[3,1,1] [[1,3,3],[2],[5]]=>[3,1,1] [[1,3,5],[2],[3]]=>[3,1,1] [[1,2,3],[4],[5]]=>[3,1,1] [[1,2,4],[3],[5]]=>[3,1,1] [[1,2,5],[3],[4]]=>[3,1,1] [[1,3,4],[2],[5]]=>[3,1,1] [[1,3,5],[2],[4]]=>[3,1,1] [[1,4,5],[2],[3]]=>[3,1,1] [[1,2,5],[3],[5]]=>[3,1,1] [[1,3,5],[2],[5]]=>[3,1,1] [[1,5,5],[2],[3]]=>[3,1,1] [[1,2,4],[4],[5]]=>[3,1,1] [[1,4,4],[2],[5]]=>[3,1,1] [[1,4,5],[2],[4]]=>[3,1,1] [[1,2,5],[4],[5]]=>[3,1,1] [[1,4,5],[2],[5]]=>[3,1,1] [[1,5,5],[2],[4]]=>[3,1,1] [[1,5,5],[2],[5]]=>[3,1,1] [[1,3,3],[3],[5]]=>[3,1,1] [[1,3,3],[4],[5]]=>[3,1,1] [[1,3,4],[3],[5]]=>[3,1,1] [[1,3,5],[3],[4]]=>[3,1,1] [[1,3,5],[3],[5]]=>[3,1,1] [[1,3,4],[4],[5]]=>[3,1,1] [[1,4,4],[3],[5]]=>[3,1,1] [[1,4,5],[3],[4]]=>[3,1,1] [[1,3,5],[4],[5]]=>[3,1,1] [[1,4,5],[3],[5]]=>[3,1,1] [[1,5,5],[3],[4]]=>[3,1,1] [[1,5,5],[3],[5]]=>[3,1,1] [[1,4,4],[4],[5]]=>[3,1,1] [[1,4,5],[4],[5]]=>[3,1,1] [[1,5,5],[4],[5]]=>[3,1,1] [[2,2,2],[3],[5]]=>[3,1,1] [[2,2,2],[4],[5]]=>[3,1,1] [[2,2,3],[3],[5]]=>[3,1,1] [[2,2,3],[4],[5]]=>[3,1,1] [[2,2,4],[3],[5]]=>[3,1,1] [[2,2,5],[3],[4]]=>[3,1,1] [[2,2,5],[3],[5]]=>[3,1,1] [[2,2,4],[4],[5]]=>[3,1,1] [[2,2,5],[4],[5]]=>[3,1,1] [[2,3,3],[3],[5]]=>[3,1,1] [[2,3,3],[4],[5]]=>[3,1,1] [[2,3,4],[3],[5]]=>[3,1,1] [[2,3,5],[3],[4]]=>[3,1,1] [[2,3,5],[3],[5]]=>[3,1,1] [[2,3,4],[4],[5]]=>[3,1,1] [[2,4,4],[3],[5]]=>[3,1,1] [[2,4,5],[3],[4]]=>[3,1,1] [[2,3,5],[4],[5]]=>[3,1,1] [[2,4,5],[3],[5]]=>[3,1,1] [[2,5,5],[3],[4]]=>[3,1,1] [[2,5,5],[3],[5]]=>[3,1,1] [[2,4,4],[4],[5]]=>[3,1,1] [[2,4,5],[4],[5]]=>[3,1,1] [[2,5,5],[4],[5]]=>[3,1,1] [[3,3,3],[4],[5]]=>[3,1,1] [[3,3,4],[4],[5]]=>[3,1,1] [[3,3,5],[4],[5]]=>[3,1,1] [[3,4,4],[4],[5]]=>[3,1,1] [[3,4,5],[4],[5]]=>[3,1,1] [[3,5,5],[4],[5]]=>[3,1,1] [[1,1],[2,2],[5]]=>[2,2,1] [[1,1],[2,3],[5]]=>[2,2,1] [[1,1],[2,5],[3]]=>[2,2,1] [[1,1],[2,4],[5]]=>[2,2,1] [[1,1],[2,5],[4]]=>[2,2,1] [[1,1],[2,5],[5]]=>[2,2,1] [[1,1],[3,3],[5]]=>[2,2,1] [[1,1],[3,4],[5]]=>[2,2,1] [[1,1],[3,5],[4]]=>[2,2,1] [[1,1],[3,5],[5]]=>[2,2,1] [[1,1],[4,4],[5]]=>[2,2,1] [[1,1],[4,5],[5]]=>[2,2,1] [[1,2],[2,3],[5]]=>[2,2,1] [[1,2],[2,5],[3]]=>[2,2,1] [[1,2],[2,4],[5]]=>[2,2,1] [[1,2],[2,5],[4]]=>[2,2,1] [[1,2],[2,5],[5]]=>[2,2,1] [[1,2],[3,3],[5]]=>[2,2,1] [[1,3],[2,5],[3]]=>[2,2,1] [[1,2],[3,4],[5]]=>[2,2,1] [[1,2],[3,5],[4]]=>[2,2,1] [[1,3],[2,4],[5]]=>[2,2,1] [[1,3],[2,5],[4]]=>[2,2,1] [[1,4],[2,5],[3]]=>[2,2,1] [[1,2],[3,5],[5]]=>[2,2,1] [[1,3],[2,5],[5]]=>[2,2,1] [[1,2],[4,4],[5]]=>[2,2,1] [[1,4],[2,5],[4]]=>[2,2,1] [[1,2],[4,5],[5]]=>[2,2,1] [[1,4],[2,5],[5]]=>[2,2,1] [[1,3],[3,4],[5]]=>[2,2,1] [[1,3],[3,5],[4]]=>[2,2,1] [[1,3],[3,5],[5]]=>[2,2,1] [[1,3],[4,4],[5]]=>[2,2,1] [[1,4],[3,5],[4]]=>[2,2,1] [[1,3],[4,5],[5]]=>[2,2,1] [[1,4],[3,5],[5]]=>[2,2,1] [[1,4],[4,5],[5]]=>[2,2,1] [[2,2],[3,3],[5]]=>[2,2,1] [[2,2],[3,4],[5]]=>[2,2,1] [[2,2],[3,5],[4]]=>[2,2,1] [[2,2],[3,5],[5]]=>[2,2,1] [[2,2],[4,4],[5]]=>[2,2,1] [[2,2],[4,5],[5]]=>[2,2,1] [[2,3],[3,4],[5]]=>[2,2,1] [[2,3],[3,5],[4]]=>[2,2,1] [[2,3],[3,5],[5]]=>[2,2,1] [[2,3],[4,4],[5]]=>[2,2,1] [[2,4],[3,5],[4]]=>[2,2,1] [[2,3],[4,5],[5]]=>[2,2,1] [[2,4],[3,5],[5]]=>[2,2,1] [[2,4],[4,5],[5]]=>[2,2,1] [[3,3],[4,4],[5]]=>[2,2,1] [[3,3],[4,5],[5]]=>[2,2,1] [[3,4],[4,5],[5]]=>[2,2,1] [[1,1],[2],[3],[5]]=>[2,1,1,1] [[1,1],[2],[4],[5]]=>[2,1,1,1] [[1,1],[3],[4],[5]]=>[2,1,1,1] [[1,2],[2],[3],[5]]=>[2,1,1,1] [[1,2],[2],[4],[5]]=>[2,1,1,1] [[1,3],[2],[3],[5]]=>[2,1,1,1] [[1,2],[3],[4],[5]]=>[2,1,1,1] [[1,3],[2],[4],[5]]=>[2,1,1,1] [[1,4],[2],[3],[5]]=>[2,1,1,1] [[1,5],[2],[3],[4]]=>[2,1,1,1] [[1,5],[2],[3],[5]]=>[2,1,1,1] [[1,4],[2],[4],[5]]=>[2,1,1,1] [[1,5],[2],[4],[5]]=>[2,1,1,1] [[1,3],[3],[4],[5]]=>[2,1,1,1] [[1,4],[3],[4],[5]]=>[2,1,1,1] [[1,5],[3],[4],[5]]=>[2,1,1,1] [[2,2],[3],[4],[5]]=>[2,1,1,1] [[2,3],[3],[4],[5]]=>[2,1,1,1] [[2,4],[3],[4],[5]]=>[2,1,1,1] [[2,5],[3],[4],[5]]=>[2,1,1,1] [[1],[2],[3],[4],[5]]=>[1,1,1,1,1] [[1,1,1,1,1,2]]=>[6] [[1,1,1,1,2,2]]=>[6] [[1,1,1,2,2,2]]=>[6] [[1,1,2,2,2,2]]=>[6] [[1,2,2,2,2,2]]=>[6] [[2,2,2,2,2,2]]=>[6] [[1,1,1,1,1],[2]]=>[5,1] [[1,1,1,1,2],[2]]=>[5,1] [[1,1,1,2,2],[2]]=>[5,1] [[1,1,2,2,2],[2]]=>[5,1] [[1,2,2,2,2],[2]]=>[5,1] [[1,1,1,1],[2,2]]=>[4,2] [[1,1,1,2],[2,2]]=>[4,2] [[1,1,2,2],[2,2]]=>[4,2] [[1,1,1],[2,2,2]]=>[3,3] [[1,1,1,1,1,3]]=>[6] [[1,1,1,1,2,3]]=>[6] [[1,1,1,1,3,3]]=>[6] [[1,1,1,2,2,3]]=>[6] [[1,1,1,2,3,3]]=>[6] [[1,1,1,3,3,3]]=>[6] [[1,1,2,2,2,3]]=>[6] [[1,1,2,2,3,3]]=>[6] [[1,1,2,3,3,3]]=>[6] [[1,1,3,3,3,3]]=>[6] [[1,2,2,2,2,3]]=>[6] [[1,2,2,2,3,3]]=>[6] [[1,2,2,3,3,3]]=>[6] [[1,2,3,3,3,3]]=>[6] [[1,3,3,3,3,3]]=>[6] [[2,2,2,2,2,3]]=>[6] [[2,2,2,2,3,3]]=>[6] [[2,2,2,3,3,3]]=>[6] [[2,2,3,3,3,3]]=>[6] [[2,3,3,3,3,3]]=>[6] [[3,3,3,3,3,3]]=>[6] [[1,1,1,1,1],[3]]=>[5,1] [[1,1,1,1,2],[3]]=>[5,1] [[1,1,1,1,3],[2]]=>[5,1] [[1,1,1,1,3],[3]]=>[5,1] [[1,1,1,2,2],[3]]=>[5,1] [[1,1,1,2,3],[2]]=>[5,1] [[1,1,1,2,3],[3]]=>[5,1] [[1,1,1,3,3],[2]]=>[5,1] [[1,1,1,3,3],[3]]=>[5,1] [[1,1,2,2,2],[3]]=>[5,1] [[1,1,2,2,3],[2]]=>[5,1] [[1,1,2,2,3],[3]]=>[5,1] [[1,1,2,3,3],[2]]=>[5,1] [[1,1,2,3,3],[3]]=>[5,1] [[1,1,3,3,3],[2]]=>[5,1] [[1,1,3,3,3],[3]]=>[5,1] [[1,2,2,2,2],[3]]=>[5,1] [[1,2,2,2,3],[2]]=>[5,1] [[1,2,2,2,3],[3]]=>[5,1] [[1,2,2,3,3],[2]]=>[5,1] [[1,2,2,3,3],[3]]=>[5,1] [[1,2,3,3,3],[2]]=>[5,1] [[1,2,3,3,3],[3]]=>[5,1] [[1,3,3,3,3],[2]]=>[5,1] [[1,3,3,3,3],[3]]=>[5,1] [[2,2,2,2,2],[3]]=>[5,1] [[2,2,2,2,3],[3]]=>[5,1] [[2,2,2,3,3],[3]]=>[5,1] [[2,2,3,3,3],[3]]=>[5,1] [[2,3,3,3,3],[3]]=>[5,1] [[1,1,1,1],[2,3]]=>[4,2] [[1,1,1,1],[3,3]]=>[4,2] [[1,1,1,2],[2,3]]=>[4,2] [[1,1,1,3],[2,2]]=>[4,2] [[1,1,1,2],[3,3]]=>[4,2] [[1,1,1,3],[2,3]]=>[4,2] [[1,1,1,3],[3,3]]=>[4,2] [[1,1,2,2],[2,3]]=>[4,2] [[1,1,2,3],[2,2]]=>[4,2] [[1,1,2,2],[3,3]]=>[4,2] [[1,1,2,3],[2,3]]=>[4,2] [[1,1,3,3],[2,2]]=>[4,2] [[1,1,2,3],[3,3]]=>[4,2] [[1,1,3,3],[2,3]]=>[4,2] [[1,1,3,3],[3,3]]=>[4,2] [[1,2,2,2],[2,3]]=>[4,2] [[1,2,2,2],[3,3]]=>[4,2] [[1,2,2,3],[2,3]]=>[4,2] [[1,2,2,3],[3,3]]=>[4,2] [[1,2,3,3],[2,3]]=>[4,2] [[1,2,3,3],[3,3]]=>[4,2] [[2,2,2,2],[3,3]]=>[4,2] [[2,2,2,3],[3,3]]=>[4,2] [[2,2,3,3],[3,3]]=>[4,2] [[1,1,1,1],[2],[3]]=>[4,1,1] [[1,1,1,2],[2],[3]]=>[4,1,1] [[1,1,1,3],[2],[3]]=>[4,1,1] [[1,1,2,2],[2],[3]]=>[4,1,1] [[1,1,2,3],[2],[3]]=>[4,1,1] [[1,1,3,3],[2],[3]]=>[4,1,1] [[1,2,2,2],[2],[3]]=>[4,1,1] [[1,2,2,3],[2],[3]]=>[4,1,1] [[1,2,3,3],[2],[3]]=>[4,1,1] [[1,3,3,3],[2],[3]]=>[4,1,1] [[1,1,1],[2,2,3]]=>[3,3] [[1,1,1],[2,3,3]]=>[3,3] [[1,1,1],[3,3,3]]=>[3,3] [[1,1,2],[2,2,3]]=>[3,3] [[1,1,2],[2,3,3]]=>[3,3] [[1,1,2],[3,3,3]]=>[3,3] [[1,2,2],[2,3,3]]=>[3,3] [[1,2,2],[3,3,3]]=>[3,3] [[2,2,2],[3,3,3]]=>[3,3] [[1,1,1],[2,2],[3]]=>[3,2,1] [[1,1,1],[2,3],[3]]=>[3,2,1] [[1,1,2],[2,2],[3]]=>[3,2,1] [[1,1,2],[2,3],[3]]=>[3,2,1] [[1,1,3],[2,2],[3]]=>[3,2,1] [[1,1,3],[2,3],[3]]=>[3,2,1] [[1,2,2],[2,3],[3]]=>[3,2,1] [[1,2,3],[2,3],[3]]=>[3,2,1] [[1,1],[2,2],[3,3]]=>[2,2,2] [[1,1,1,1,1,4]]=>[6] [[1,1,1,1,2,4]]=>[6] [[1,1,1,1,3,4]]=>[6] [[1,1,1,1,4,4]]=>[6] [[1,1,1,2,2,4]]=>[6] [[1,1,1,2,3,4]]=>[6] [[1,1,1,2,4,4]]=>[6] [[1,1,1,3,3,4]]=>[6] [[1,1,1,3,4,4]]=>[6] [[1,1,1,4,4,4]]=>[6] [[1,1,2,2,2,4]]=>[6] [[1,1,2,2,3,4]]=>[6] [[1,1,2,2,4,4]]=>[6] [[1,1,2,3,3,4]]=>[6] [[1,1,2,3,4,4]]=>[6] [[1,1,2,4,4,4]]=>[6] [[1,1,3,3,3,4]]=>[6] [[1,1,3,3,4,4]]=>[6] [[1,1,3,4,4,4]]=>[6] [[1,1,4,4,4,4]]=>[6] [[1,2,2,2,2,4]]=>[6] [[1,2,2,2,3,4]]=>[6] [[1,2,2,2,4,4]]=>[6] [[1,2,2,3,3,4]]=>[6] [[1,2,2,3,4,4]]=>[6] [[1,2,2,4,4,4]]=>[6] [[1,2,3,3,3,4]]=>[6] [[1,2,3,3,4,4]]=>[6] [[1,2,3,4,4,4]]=>[6] [[1,2,4,4,4,4]]=>[6] [[1,3,3,3,3,4]]=>[6] [[1,3,3,3,4,4]]=>[6] [[1,3,3,4,4,4]]=>[6] [[1,3,4,4,4,4]]=>[6] [[1,4,4,4,4,4]]=>[6] [[2,2,2,2,2,4]]=>[6] [[2,2,2,2,3,4]]=>[6] [[2,2,2,2,4,4]]=>[6] [[2,2,2,3,3,4]]=>[6] [[2,2,2,3,4,4]]=>[6] [[2,2,2,4,4,4]]=>[6] [[2,2,3,3,3,4]]=>[6] [[2,2,3,3,4,4]]=>[6] [[2,2,3,4,4,4]]=>[6] [[2,2,4,4,4,4]]=>[6] [[2,3,3,3,3,4]]=>[6] [[2,3,3,3,4,4]]=>[6] [[2,3,3,4,4,4]]=>[6] [[2,3,4,4,4,4]]=>[6] [[2,4,4,4,4,4]]=>[6] [[3,3,3,3,3,4]]=>[6] [[3,3,3,3,4,4]]=>[6] [[3,3,3,4,4,4]]=>[6] [[3,3,4,4,4,4]]=>[6] [[3,4,4,4,4,4]]=>[6] [[4,4,4,4,4,4]]=>[6] [[1,1,1,1,1],[4]]=>[5,1] [[1,1,1,1,2],[4]]=>[5,1] [[1,1,1,1,4],[2]]=>[5,1] [[1,1,1,1,3],[4]]=>[5,1] [[1,1,1,1,4],[3]]=>[5,1] [[1,1,1,1,4],[4]]=>[5,1] [[1,1,1,2,2],[4]]=>[5,1] [[1,1,1,2,4],[2]]=>[5,1] [[1,1,1,2,3],[4]]=>[5,1] [[1,1,1,2,4],[3]]=>[5,1] [[1,1,1,3,4],[2]]=>[5,1] [[1,1,1,2,4],[4]]=>[5,1] [[1,1,1,4,4],[2]]=>[5,1] [[1,1,1,3,3],[4]]=>[5,1] [[1,1,1,3,4],[3]]=>[5,1] [[1,1,1,3,4],[4]]=>[5,1] [[1,1,1,4,4],[3]]=>[5,1] [[1,1,1,4,4],[4]]=>[5,1] [[1,1,2,2,2],[4]]=>[5,1] [[1,1,2,2,4],[2]]=>[5,1] [[1,1,2,2,3],[4]]=>[5,1] [[1,1,2,2,4],[3]]=>[5,1] [[1,1,2,3,4],[2]]=>[5,1] [[1,1,2,2,4],[4]]=>[5,1] [[1,1,2,4,4],[2]]=>[5,1] [[1,1,2,3,3],[4]]=>[5,1] [[1,1,2,3,4],[3]]=>[5,1] [[1,1,3,3,4],[2]]=>[5,1] [[1,1,2,3,4],[4]]=>[5,1] [[1,1,2,4,4],[3]]=>[5,1] [[1,1,3,4,4],[2]]=>[5,1] [[1,1,2,4,4],[4]]=>[5,1] [[1,1,4,4,4],[2]]=>[5,1] [[1,1,3,3,3],[4]]=>[5,1] [[1,1,3,3,4],[3]]=>[5,1] [[1,1,3,3,4],[4]]=>[5,1] [[1,1,3,4,4],[3]]=>[5,1] [[1,1,3,4,4],[4]]=>[5,1] [[1,1,4,4,4],[3]]=>[5,1] [[1,1,4,4,4],[4]]=>[5,1] [[1,2,2,2,2],[4]]=>[5,1] [[1,2,2,2,4],[2]]=>[5,1] [[1,2,2,2,3],[4]]=>[5,1] [[1,2,2,2,4],[3]]=>[5,1] [[1,2,2,3,4],[2]]=>[5,1] [[1,2,2,2,4],[4]]=>[5,1] [[1,2,2,4,4],[2]]=>[5,1] [[1,2,2,3,3],[4]]=>[5,1] [[1,2,2,3,4],[3]]=>[5,1] [[1,2,3,3,4],[2]]=>[5,1] [[1,2,2,3,4],[4]]=>[5,1] [[1,2,2,4,4],[3]]=>[5,1] [[1,2,3,4,4],[2]]=>[5,1] [[1,2,2,4,4],[4]]=>[5,1] [[1,2,4,4,4],[2]]=>[5,1] [[1,2,3,3,3],[4]]=>[5,1] [[1,2,3,3,4],[3]]=>[5,1] [[1,3,3,3,4],[2]]=>[5,1] [[1,2,3,3,4],[4]]=>[5,1] [[1,2,3,4,4],[3]]=>[5,1] [[1,3,3,4,4],[2]]=>[5,1] [[1,2,3,4,4],[4]]=>[5,1] [[1,2,4,4,4],[3]]=>[5,1] [[1,3,4,4,4],[2]]=>[5,1] [[1,2,4,4,4],[4]]=>[5,1] [[1,4,4,4,4],[2]]=>[5,1] [[1,3,3,3,3],[4]]=>[5,1] [[1,3,3,3,4],[3]]=>[5,1] [[1,3,3,3,4],[4]]=>[5,1] [[1,3,3,4,4],[3]]=>[5,1] [[1,3,3,4,4],[4]]=>[5,1] [[1,3,4,4,4],[3]]=>[5,1] [[1,3,4,4,4],[4]]=>[5,1] [[1,4,4,4,4],[3]]=>[5,1] [[1,4,4,4,4],[4]]=>[5,1] [[2,2,2,2,2],[4]]=>[5,1] [[2,2,2,2,3],[4]]=>[5,1] [[2,2,2,2,4],[3]]=>[5,1] [[2,2,2,2,4],[4]]=>[5,1] [[2,2,2,3,3],[4]]=>[5,1] [[2,2,2,3,4],[3]]=>[5,1] [[2,2,2,3,4],[4]]=>[5,1] [[2,2,2,4,4],[3]]=>[5,1] [[2,2,2,4,4],[4]]=>[5,1] [[2,2,3,3,3],[4]]=>[5,1] [[2,2,3,3,4],[3]]=>[5,1] [[2,2,3,3,4],[4]]=>[5,1] [[2,2,3,4,4],[3]]=>[5,1] [[2,2,3,4,4],[4]]=>[5,1] [[2,2,4,4,4],[3]]=>[5,1] [[2,2,4,4,4],[4]]=>[5,1] [[2,3,3,3,3],[4]]=>[5,1] [[2,3,3,3,4],[3]]=>[5,1] [[2,3,3,3,4],[4]]=>[5,1] [[2,3,3,4,4],[3]]=>[5,1] [[2,3,3,4,4],[4]]=>[5,1] [[2,3,4,4,4],[3]]=>[5,1] [[2,3,4,4,4],[4]]=>[5,1] [[2,4,4,4,4],[3]]=>[5,1] [[2,4,4,4,4],[4]]=>[5,1] [[3,3,3,3,3],[4]]=>[5,1] [[3,3,3,3,4],[4]]=>[5,1] [[3,3,3,4,4],[4]]=>[5,1] [[3,3,4,4,4],[4]]=>[5,1] [[3,4,4,4,4],[4]]=>[5,1] [[1,1,1,1],[2,4]]=>[4,2] [[1,1,1,1],[3,4]]=>[4,2] [[1,1,1,1],[4,4]]=>[4,2] [[1,1,1,2],[2,4]]=>[4,2] [[1,1,1,4],[2,2]]=>[4,2] [[1,1,1,2],[3,4]]=>[4,2] [[1,1,1,3],[2,4]]=>[4,2] [[1,1,1,4],[2,3]]=>[4,2] [[1,1,1,2],[4,4]]=>[4,2] [[1,1,1,4],[2,4]]=>[4,2] [[1,1,1,3],[3,4]]=>[4,2] [[1,1,1,4],[3,3]]=>[4,2] [[1,1,1,3],[4,4]]=>[4,2] [[1,1,1,4],[3,4]]=>[4,2] [[1,1,1,4],[4,4]]=>[4,2] [[1,1,2,2],[2,4]]=>[4,2] [[1,1,2,4],[2,2]]=>[4,2] [[1,1,2,2],[3,4]]=>[4,2] [[1,1,2,3],[2,4]]=>[4,2] [[1,1,2,4],[2,3]]=>[4,2] [[1,1,3,4],[2,2]]=>[4,2] [[1,1,2,2],[4,4]]=>[4,2] [[1,1,2,4],[2,4]]=>[4,2] [[1,1,4,4],[2,2]]=>[4,2] [[1,1,2,3],[3,4]]=>[4,2] [[1,1,2,4],[3,3]]=>[4,2] [[1,1,3,3],[2,4]]=>[4,2] [[1,1,3,4],[2,3]]=>[4,2] [[1,1,2,3],[4,4]]=>[4,2] [[1,1,2,4],[3,4]]=>[4,2] [[1,1,3,4],[2,4]]=>[4,2] [[1,1,4,4],[2,3]]=>[4,2] [[1,1,2,4],[4,4]]=>[4,2] [[1,1,4,4],[2,4]]=>[4,2] [[1,1,3,3],[3,4]]=>[4,2] [[1,1,3,4],[3,3]]=>[4,2] [[1,1,3,3],[4,4]]=>[4,2] [[1,1,3,4],[3,4]]=>[4,2] [[1,1,4,4],[3,3]]=>[4,2] [[1,1,3,4],[4,4]]=>[4,2] [[1,1,4,4],[3,4]]=>[4,2] [[1,1,4,4],[4,4]]=>[4,2] [[1,2,2,2],[2,4]]=>[4,2] [[1,2,2,2],[3,4]]=>[4,2] [[1,2,2,3],[2,4]]=>[4,2] [[1,2,2,4],[2,3]]=>[4,2] [[1,2,2,2],[4,4]]=>[4,2] [[1,2,2,4],[2,4]]=>[4,2] [[1,2,2,3],[3,4]]=>[4,2] [[1,2,2,4],[3,3]]=>[4,2] [[1,2,3,3],[2,4]]=>[4,2] [[1,2,3,4],[2,3]]=>[4,2] [[1,2,2,3],[4,4]]=>[4,2] [[1,2,2,4],[3,4]]=>[4,2] [[1,2,3,4],[2,4]]=>[4,2] [[1,2,4,4],[2,3]]=>[4,2] [[1,2,2,4],[4,4]]=>[4,2] [[1,2,4,4],[2,4]]=>[4,2] [[1,2,3,3],[3,4]]=>[4,2] [[1,2,3,4],[3,3]]=>[4,2] [[1,3,3,3],[2,4]]=>[4,2] [[1,2,3,3],[4,4]]=>[4,2] [[1,2,3,4],[3,4]]=>[4,2] [[1,2,4,4],[3,3]]=>[4,2] [[1,3,3,4],[2,4]]=>[4,2] [[1,2,3,4],[4,4]]=>[4,2] [[1,2,4,4],[3,4]]=>[4,2] [[1,3,4,4],[2,4]]=>[4,2] [[1,2,4,4],[4,4]]=>[4,2] [[1,3,3,3],[3,4]]=>[4,2] [[1,3,3,3],[4,4]]=>[4,2] [[1,3,3,4],[3,4]]=>[4,2] [[1,3,3,4],[4,4]]=>[4,2] [[1,3,4,4],[3,4]]=>[4,2] [[1,3,4,4],[4,4]]=>[4,2] [[2,2,2,2],[3,4]]=>[4,2] [[2,2,2,2],[4,4]]=>[4,2] [[2,2,2,3],[3,4]]=>[4,2] [[2,2,2,4],[3,3]]=>[4,2] [[2,2,2,3],[4,4]]=>[4,2] [[2,2,2,4],[3,4]]=>[4,2] [[2,2,2,4],[4,4]]=>[4,2] [[2,2,3,3],[3,4]]=>[4,2] [[2,2,3,4],[3,3]]=>[4,2] [[2,2,3,3],[4,4]]=>[4,2] [[2,2,3,4],[3,4]]=>[4,2] [[2,2,4,4],[3,3]]=>[4,2] [[2,2,3,4],[4,4]]=>[4,2] [[2,2,4,4],[3,4]]=>[4,2] [[2,2,4,4],[4,4]]=>[4,2] [[2,3,3,3],[3,4]]=>[4,2] [[2,3,3,3],[4,4]]=>[4,2] [[2,3,3,4],[3,4]]=>[4,2] [[2,3,3,4],[4,4]]=>[4,2] [[2,3,4,4],[3,4]]=>[4,2] [[2,3,4,4],[4,4]]=>[4,2] [[3,3,3,3],[4,4]]=>[4,2] [[3,3,3,4],[4,4]]=>[4,2] [[3,3,4,4],[4,4]]=>[4,2] [[1,1,1,1],[2],[4]]=>[4,1,1] [[1,1,1,1],[3],[4]]=>[4,1,1] [[1,1,1,2],[2],[4]]=>[4,1,1] [[1,1,1,2],[3],[4]]=>[4,1,1] [[1,1,1,3],[2],[4]]=>[4,1,1] [[1,1,1,4],[2],[3]]=>[4,1,1] [[1,1,1,4],[2],[4]]=>[4,1,1] [[1,1,1,3],[3],[4]]=>[4,1,1] [[1,1,1,4],[3],[4]]=>[4,1,1] [[1,1,2,2],[2],[4]]=>[4,1,1] [[1,1,2,2],[3],[4]]=>[4,1,1] [[1,1,2,3],[2],[4]]=>[4,1,1] [[1,1,2,4],[2],[3]]=>[4,1,1] [[1,1,2,4],[2],[4]]=>[4,1,1] [[1,1,2,3],[3],[4]]=>[4,1,1] [[1,1,3,3],[2],[4]]=>[4,1,1] [[1,1,3,4],[2],[3]]=>[4,1,1] [[1,1,2,4],[3],[4]]=>[4,1,1] [[1,1,3,4],[2],[4]]=>[4,1,1] [[1,1,4,4],[2],[3]]=>[4,1,1] [[1,1,4,4],[2],[4]]=>[4,1,1] [[1,1,3,3],[3],[4]]=>[4,1,1] [[1,1,3,4],[3],[4]]=>[4,1,1] [[1,1,4,4],[3],[4]]=>[4,1,1] [[1,2,2,2],[2],[4]]=>[4,1,1] [[1,2,2,2],[3],[4]]=>[4,1,1] [[1,2,2,3],[2],[4]]=>[4,1,1] [[1,2,2,4],[2],[3]]=>[4,1,1] [[1,2,2,4],[2],[4]]=>[4,1,1] [[1,2,2,3],[3],[4]]=>[4,1,1] [[1,2,3,3],[2],[4]]=>[4,1,1] [[1,2,3,4],[2],[3]]=>[4,1,1] [[1,2,2,4],[3],[4]]=>[4,1,1] [[1,2,3,4],[2],[4]]=>[4,1,1] [[1,2,4,4],[2],[3]]=>[4,1,1] [[1,2,4,4],[2],[4]]=>[4,1,1] [[1,2,3,3],[3],[4]]=>[4,1,1] [[1,3,3,3],[2],[4]]=>[4,1,1] [[1,3,3,4],[2],[3]]=>[4,1,1] [[1,2,3,4],[3],[4]]=>[4,1,1] [[1,3,3,4],[2],[4]]=>[4,1,1] [[1,3,4,4],[2],[3]]=>[4,1,1] [[1,2,4,4],[3],[4]]=>[4,1,1] [[1,3,4,4],[2],[4]]=>[4,1,1] [[1,4,4,4],[2],[3]]=>[4,1,1] [[1,4,4,4],[2],[4]]=>[4,1,1] [[1,3,3,3],[3],[4]]=>[4,1,1] [[1,3,3,4],[3],[4]]=>[4,1,1] [[1,3,4,4],[3],[4]]=>[4,1,1] [[1,4,4,4],[3],[4]]=>[4,1,1] [[2,2,2,2],[3],[4]]=>[4,1,1] [[2,2,2,3],[3],[4]]=>[4,1,1] [[2,2,2,4],[3],[4]]=>[4,1,1] [[2,2,3,3],[3],[4]]=>[4,1,1] [[2,2,3,4],[3],[4]]=>[4,1,1] [[2,2,4,4],[3],[4]]=>[4,1,1] [[2,3,3,3],[3],[4]]=>[4,1,1] [[2,3,3,4],[3],[4]]=>[4,1,1] [[2,3,4,4],[3],[4]]=>[4,1,1] [[2,4,4,4],[3],[4]]=>[4,1,1] [[1,1,1],[2,2,4]]=>[3,3] [[1,1,1],[2,3,4]]=>[3,3] [[1,1,1],[2,4,4]]=>[3,3] [[1,1,1],[3,3,4]]=>[3,3] [[1,1,1],[3,4,4]]=>[3,3] [[1,1,1],[4,4,4]]=>[3,3] [[1,1,2],[2,2,4]]=>[3,3] [[1,1,2],[2,3,4]]=>[3,3] [[1,1,3],[2,2,4]]=>[3,3] [[1,1,2],[2,4,4]]=>[3,3] [[1,1,2],[3,3,4]]=>[3,3] [[1,1,3],[2,3,4]]=>[3,3] [[1,1,2],[3,4,4]]=>[3,3] [[1,1,3],[2,4,4]]=>[3,3] [[1,1,2],[4,4,4]]=>[3,3] [[1,1,3],[3,3,4]]=>[3,3] [[1,1,3],[3,4,4]]=>[3,3] [[1,1,3],[4,4,4]]=>[3,3] [[1,2,2],[2,3,4]]=>[3,3] [[1,2,2],[2,4,4]]=>[3,3] [[1,2,2],[3,3,4]]=>[3,3] [[1,2,3],[2,3,4]]=>[3,3] [[1,2,2],[3,4,4]]=>[3,3] [[1,2,3],[2,4,4]]=>[3,3] [[1,2,2],[4,4,4]]=>[3,3] [[1,2,3],[3,3,4]]=>[3,3] [[1,2,3],[3,4,4]]=>[3,3] [[1,3,3],[2,4,4]]=>[3,3] [[1,2,3],[4,4,4]]=>[3,3] [[1,3,3],[3,4,4]]=>[3,3] [[1,3,3],[4,4,4]]=>[3,3] [[2,2,2],[3,3,4]]=>[3,3] [[2,2,2],[3,4,4]]=>[3,3] [[2,2,2],[4,4,4]]=>[3,3] [[2,2,3],[3,3,4]]=>[3,3] [[2,2,3],[3,4,4]]=>[3,3] [[2,2,3],[4,4,4]]=>[3,3] [[2,3,3],[3,4,4]]=>[3,3] [[2,3,3],[4,4,4]]=>[3,3] [[3,3,3],[4,4,4]]=>[3,3] [[1,1,1],[2,2],[4]]=>[3,2,1] [[1,1,1],[2,3],[4]]=>[3,2,1] [[1,1,1],[2,4],[3]]=>[3,2,1] [[1,1,1],[2,4],[4]]=>[3,2,1] [[1,1,1],[3,3],[4]]=>[3,2,1] [[1,1,1],[3,4],[4]]=>[3,2,1] [[1,1,2],[2,2],[4]]=>[3,2,1] [[1,1,2],[2,3],[4]]=>[3,2,1] [[1,1,2],[2,4],[3]]=>[3,2,1] [[1,1,3],[2,2],[4]]=>[3,2,1] [[1,1,4],[2,2],[3]]=>[3,2,1] [[1,1,2],[2,4],[4]]=>[3,2,1] [[1,1,4],[2,2],[4]]=>[3,2,1] [[1,1,2],[3,3],[4]]=>[3,2,1] [[1,1,3],[2,3],[4]]=>[3,2,1] [[1,1,3],[2,4],[3]]=>[3,2,1] [[1,1,4],[2,3],[3]]=>[3,2,1] [[1,1,2],[3,4],[4]]=>[3,2,1] [[1,1,3],[2,4],[4]]=>[3,2,1] [[1,1,4],[2,3],[4]]=>[3,2,1] [[1,1,4],[2,4],[3]]=>[3,2,1] [[1,1,4],[2,4],[4]]=>[3,2,1] [[1,1,3],[3,3],[4]]=>[3,2,1] [[1,1,3],[3,4],[4]]=>[3,2,1] [[1,1,4],[3,3],[4]]=>[3,2,1] [[1,1,4],[3,4],[4]]=>[3,2,1] [[1,2,2],[2,3],[4]]=>[3,2,1] [[1,2,2],[2,4],[3]]=>[3,2,1] [[1,2,2],[2,4],[4]]=>[3,2,1] [[1,2,2],[3,3],[4]]=>[3,2,1] [[1,2,3],[2,3],[4]]=>[3,2,1] [[1,2,3],[2,4],[3]]=>[3,2,1] [[1,2,4],[2,3],[3]]=>[3,2,1] [[1,2,2],[3,4],[4]]=>[3,2,1] [[1,2,3],[2,4],[4]]=>[3,2,1] [[1,2,4],[2,3],[4]]=>[3,2,1] [[1,2,4],[2,4],[3]]=>[3,2,1] [[1,2,4],[2,4],[4]]=>[3,2,1] [[1,2,3],[3,3],[4]]=>[3,2,1] [[1,3,3],[2,4],[3]]=>[3,2,1] [[1,2,3],[3,4],[4]]=>[3,2,1] [[1,2,4],[3,3],[4]]=>[3,2,1] [[1,3,3],[2,4],[4]]=>[3,2,1] [[1,3,4],[2,4],[3]]=>[3,2,1] [[1,2,4],[3,4],[4]]=>[3,2,1] [[1,3,4],[2,4],[4]]=>[3,2,1] [[1,3,3],[3,4],[4]]=>[3,2,1] [[1,3,4],[3,4],[4]]=>[3,2,1] [[2,2,2],[3,3],[4]]=>[3,2,1] [[2,2,2],[3,4],[4]]=>[3,2,1] [[2,2,3],[3,3],[4]]=>[3,2,1] [[2,2,3],[3,4],[4]]=>[3,2,1] [[2,2,4],[3,3],[4]]=>[3,2,1] [[2,2,4],[3,4],[4]]=>[3,2,1] [[2,3,3],[3,4],[4]]=>[3,2,1] [[2,3,4],[3,4],[4]]=>[3,2,1] [[1,1,1],[2],[3],[4]]=>[3,1,1,1] [[1,1,2],[2],[3],[4]]=>[3,1,1,1] [[1,1,3],[2],[3],[4]]=>[3,1,1,1] [[1,1,4],[2],[3],[4]]=>[3,1,1,1] [[1,2,2],[2],[3],[4]]=>[3,1,1,1] [[1,2,3],[2],[3],[4]]=>[3,1,1,1] [[1,2,4],[2],[3],[4]]=>[3,1,1,1] [[1,3,3],[2],[3],[4]]=>[3,1,1,1] [[1,3,4],[2],[3],[4]]=>[3,1,1,1] [[1,4,4],[2],[3],[4]]=>[3,1,1,1] [[1,1],[2,2],[3,4]]=>[2,2,2] [[1,1],[2,2],[4,4]]=>[2,2,2] [[1,1],[2,3],[3,4]]=>[2,2,2] [[1,1],[2,3],[4,4]]=>[2,2,2] [[1,1],[3,3],[4,4]]=>[2,2,2] [[1,2],[2,3],[3,4]]=>[2,2,2] [[1,2],[2,3],[4,4]]=>[2,2,2] [[1,2],[3,3],[4,4]]=>[2,2,2] [[2,2],[3,3],[4,4]]=>[2,2,2] [[1,1],[2,2],[3],[4]]=>[2,2,1,1] [[1,1],[2,3],[3],[4]]=>[2,2,1,1] [[1,1],[2,4],[3],[4]]=>[2,2,1,1] [[1,2],[2,3],[3],[4]]=>[2,2,1,1] [[1,2],[2,4],[3],[4]]=>[2,2,1,1] [[1,3],[2,4],[3],[4]]=>[2,2,1,1] [[1,2,3,4,5,6]]=>[6] [[1,2,3,4,5],[6]]=>[5,1] [[1,2,3,4,6],[5]]=>[5,1] [[1,2,3,4],[5],[6]]=>[4,1,1] [[1,2,3,5,6],[4]]=>[5,1] [[1,2,3,5],[4,6]]=>[4,2] [[1,2,3,5],[4],[6]]=>[4,1,1] [[1,2,3,4],[5,6]]=>[4,2] [[1,2,3,6],[4],[5]]=>[4,1,1] [[1,2,3],[4],[5],[6]]=>[3,1,1,1] [[1,2,4,5,6],[3]]=>[5,1] [[1,2,4,5],[3,6]]=>[4,2] [[1,2,4,6],[3,5]]=>[4,2] [[1,2,4],[3,5],[6]]=>[3,2,1] [[1,2,4,5],[3],[6]]=>[4,1,1] [[1,2,4,6],[3],[5]]=>[4,1,1] [[1,2,4],[3],[5],[6]]=>[3,1,1,1] [[1,2,3,6],[4,5]]=>[4,2] [[1,2,3],[4,5],[6]]=>[3,2,1] [[1,2,5,6],[3],[4]]=>[4,1,1] [[1,2,5],[3,6],[4]]=>[3,2,1] [[1,2,5],[3],[4],[6]]=>[3,1,1,1] [[1,2,3],[4,6],[5]]=>[3,2,1] [[1,2,4],[3,6],[5]]=>[3,2,1] [[1,2,6],[3],[4],[5]]=>[3,1,1,1] [[1,2],[3],[4],[5],[6]]=>[2,1,1,1,1] [[1,3,4,5,6],[2]]=>[5,1] [[1,3,4,5],[2,6]]=>[4,2] [[1,3,4,6],[2,5]]=>[4,2] [[1,3,4],[2,5],[6]]=>[3,2,1] [[1,3,5,6],[2,4]]=>[4,2] [[1,3,5],[2,4,6]]=>[3,3] [[1,3,5],[2,4],[6]]=>[3,2,1] [[1,3,4],[2,5,6]]=>[3,3] [[1,3,6],[2,4],[5]]=>[3,2,1] [[1,3],[2,4],[5],[6]]=>[2,2,1,1] [[1,3,4,5],[2],[6]]=>[4,1,1] [[1,3,4,6],[2],[5]]=>[4,1,1] [[1,3,4],[2],[5],[6]]=>[3,1,1,1] [[1,3,5,6],[2],[4]]=>[4,1,1] [[1,3,5],[2,6],[4]]=>[3,2,1] [[1,3,5],[2],[4],[6]]=>[3,1,1,1] [[1,3,4],[2,6],[5]]=>[3,2,1] [[1,3,6],[2],[4],[5]]=>[3,1,1,1] [[1,3],[2],[4],[5],[6]]=>[2,1,1,1,1] [[1,2,5,6],[3,4]]=>[4,2] [[1,2,5],[3,4,6]]=>[3,3] [[1,2,5],[3,4],[6]]=>[3,2,1] [[1,2,4],[3,5,6]]=>[3,3] [[1,2,6],[3,4],[5]]=>[3,2,1] [[1,2],[3,4],[5],[6]]=>[2,2,1,1] [[1,4,5,6],[2],[3]]=>[4,1,1] [[1,4,5],[2,6],[3]]=>[3,2,1] [[1,4,6],[2,5],[3]]=>[3,2,1] [[1,4],[2,5],[3,6]]=>[2,2,2] [[1,4],[2,5],[3],[6]]=>[2,2,1,1] [[1,4,5],[2],[3],[6]]=>[3,1,1,1] [[1,4,6],[2],[3],[5]]=>[3,1,1,1] [[1,4],[2],[3],[5],[6]]=>[2,1,1,1,1] [[1,2,3],[4,5,6]]=>[3,3] [[1,2,6],[3,5],[4]]=>[3,2,1] [[1,2],[3,5],[4],[6]]=>[2,2,1,1] [[1,3,6],[2,5],[4]]=>[3,2,1] [[1,3],[2,5],[4,6]]=>[2,2,2] [[1,3],[2,5],[4],[6]]=>[2,2,1,1] [[1,2],[3,5],[4,6]]=>[2,2,2] [[1,5,6],[2],[3],[4]]=>[3,1,1,1] [[1,5],[2,6],[3],[4]]=>[2,2,1,1] [[1,5],[2],[3],[4],[6]]=>[2,1,1,1,1] [[1,2],[3,6],[4],[5]]=>[2,2,1,1] [[1,3],[2,4],[5,6]]=>[2,2,2] [[1,3],[2,6],[4],[5]]=>[2,2,1,1] [[1,2],[3,4],[5,6]]=>[2,2,2] [[1,4],[2,6],[3],[5]]=>[2,2,1,1] [[1,6],[2],[3],[4],[5]]=>[2,1,1,1,1] [[1],[2],[3],[4],[5],[6]]=>[1,1,1,1,1,1] [[1,1,1,1,1,1,2]]=>[7] [[1,1,1,1,1,2,2]]=>[7] [[1,1,1,1,2,2,2]]=>[7] [[1,1,1,2,2,2,2]]=>[7] [[1,1,2,2,2,2,2]]=>[7] [[1,2,2,2,2,2,2]]=>[7] [[2,2,2,2,2,2,2]]=>[7] [[1,1,1,1,1,1],[2]]=>[6,1] [[1,1,1,1,1,2],[2]]=>[6,1] [[1,1,1,1,2,2],[2]]=>[6,1] [[1,1,1,2,2,2],[2]]=>[6,1] [[1,1,2,2,2,2],[2]]=>[6,1] [[1,2,2,2,2,2],[2]]=>[6,1] [[1,1,1,1,1],[2,2]]=>[5,2] [[1,1,1,1,2],[2,2]]=>[5,2] [[1,1,1,2,2],[2,2]]=>[5,2] [[1,1,2,2,2],[2,2]]=>[5,2] [[1,1,1,1],[2,2,2]]=>[4,3] [[1,1,1,2],[2,2,2]]=>[4,3] [[1,1,1,1,1,1,3]]=>[7] [[1,1,1,1,1,2,3]]=>[7] [[1,1,1,1,1,3,3]]=>[7] [[1,1,1,1,2,2,3]]=>[7] [[1,1,1,1,2,3,3]]=>[7] [[1,1,1,1,3,3,3]]=>[7] [[1,1,1,2,2,2,3]]=>[7] [[1,1,1,2,2,3,3]]=>[7] [[1,1,1,2,3,3,3]]=>[7] [[1,1,1,3,3,3,3]]=>[7] [[1,1,2,2,2,2,3]]=>[7] [[1,1,2,2,2,3,3]]=>[7] [[1,1,2,2,3,3,3]]=>[7] [[1,1,2,3,3,3,3]]=>[7] [[1,1,3,3,3,3,3]]=>[7] [[1,2,2,2,2,2,3]]=>[7] [[1,2,2,2,2,3,3]]=>[7] [[1,2,2,2,3,3,3]]=>[7] [[1,2,2,3,3,3,3]]=>[7] [[1,2,3,3,3,3,3]]=>[7] [[1,3,3,3,3,3,3]]=>[7] [[2,2,2,2,2,2,3]]=>[7] [[2,2,2,2,2,3,3]]=>[7] [[2,2,2,2,3,3,3]]=>[7] [[2,2,2,3,3,3,3]]=>[7] [[2,2,3,3,3,3,3]]=>[7] [[2,3,3,3,3,3,3]]=>[7] [[3,3,3,3,3,3,3]]=>[7] [[1,1,1,1,1,1],[3]]=>[6,1] [[1,1,1,1,1,2],[3]]=>[6,1] [[1,1,1,1,1,3],[2]]=>[6,1] [[1,1,1,1,1,3],[3]]=>[6,1] [[1,1,1,1,2,2],[3]]=>[6,1] [[1,1,1,1,2,3],[2]]=>[6,1] [[1,1,1,1,2,3],[3]]=>[6,1] [[1,1,1,1,3,3],[2]]=>[6,1] [[1,1,1,1,3,3],[3]]=>[6,1] [[1,1,1,2,2,2],[3]]=>[6,1] [[1,1,1,2,2,3],[2]]=>[6,1] [[1,1,1,2,2,3],[3]]=>[6,1] [[1,1,1,2,3,3],[2]]=>[6,1] [[1,1,1,2,3,3],[3]]=>[6,1] [[1,1,1,3,3,3],[2]]=>[6,1] [[1,1,1,3,3,3],[3]]=>[6,1] [[1,1,2,2,2,2],[3]]=>[6,1] [[1,1,2,2,2,3],[2]]=>[6,1] [[1,1,2,2,2,3],[3]]=>[6,1] [[1,1,2,2,3,3],[2]]=>[6,1] [[1,1,2,2,3,3],[3]]=>[6,1] [[1,1,2,3,3,3],[2]]=>[6,1] [[1,1,2,3,3,3],[3]]=>[6,1] [[1,1,3,3,3,3],[2]]=>[6,1] [[1,1,3,3,3,3],[3]]=>[6,1] [[1,2,2,2,2,2],[3]]=>[6,1] [[1,2,2,2,2,3],[2]]=>[6,1] [[1,2,2,2,2,3],[3]]=>[6,1] [[1,2,2,2,3,3],[2]]=>[6,1] [[1,2,2,2,3,3],[3]]=>[6,1] [[1,2,2,3,3,3],[2]]=>[6,1] [[1,2,2,3,3,3],[3]]=>[6,1] [[1,2,3,3,3,3],[2]]=>[6,1] [[1,2,3,3,3,3],[3]]=>[6,1] [[1,3,3,3,3,3],[2]]=>[6,1] [[1,3,3,3,3,3],[3]]=>[6,1] [[2,2,2,2,2,2],[3]]=>[6,1] [[2,2,2,2,2,3],[3]]=>[6,1] [[2,2,2,2,3,3],[3]]=>[6,1] [[2,2,2,3,3,3],[3]]=>[6,1] [[2,2,3,3,3,3],[3]]=>[6,1] [[2,3,3,3,3,3],[3]]=>[6,1] [[1,1,1,1,1],[2,3]]=>[5,2] [[1,1,1,1,1],[3,3]]=>[5,2] [[1,1,1,1,2],[2,3]]=>[5,2] [[1,1,1,1,3],[2,2]]=>[5,2] [[1,1,1,1,2],[3,3]]=>[5,2] [[1,1,1,1,3],[2,3]]=>[5,2] [[1,1,1,1,3],[3,3]]=>[5,2] [[1,1,1,2,2],[2,3]]=>[5,2] [[1,1,1,2,3],[2,2]]=>[5,2] [[1,1,1,2,2],[3,3]]=>[5,2] [[1,1,1,2,3],[2,3]]=>[5,2] [[1,1,1,3,3],[2,2]]=>[5,2] [[1,1,1,2,3],[3,3]]=>[5,2] [[1,1,1,3,3],[2,3]]=>[5,2] [[1,1,1,3,3],[3,3]]=>[5,2] [[1,1,2,2,2],[2,3]]=>[5,2] [[1,1,2,2,3],[2,2]]=>[5,2] [[1,1,2,2,2],[3,3]]=>[5,2] [[1,1,2,2,3],[2,3]]=>[5,2] [[1,1,2,3,3],[2,2]]=>[5,2] [[1,1,2,2,3],[3,3]]=>[5,2] [[1,1,2,3,3],[2,3]]=>[5,2] [[1,1,3,3,3],[2,2]]=>[5,2] [[1,1,2,3,3],[3,3]]=>[5,2] [[1,1,3,3,3],[2,3]]=>[5,2] [[1,1,3,3,3],[3,3]]=>[5,2] [[1,2,2,2,2],[2,3]]=>[5,2] [[1,2,2,2,2],[3,3]]=>[5,2] [[1,2,2,2,3],[2,3]]=>[5,2] [[1,2,2,2,3],[3,3]]=>[5,2] [[1,2,2,3,3],[2,3]]=>[5,2] [[1,2,2,3,3],[3,3]]=>[5,2] [[1,2,3,3,3],[2,3]]=>[5,2] [[1,2,3,3,3],[3,3]]=>[5,2] [[2,2,2,2,2],[3,3]]=>[5,2] [[2,2,2,2,3],[3,3]]=>[5,2] [[2,2,2,3,3],[3,3]]=>[5,2] [[2,2,3,3,3],[3,3]]=>[5,2] [[1,1,1,1,1],[2],[3]]=>[5,1,1] [[1,1,1,1,2],[2],[3]]=>[5,1,1] [[1,1,1,1,3],[2],[3]]=>[5,1,1] [[1,1,1,2,2],[2],[3]]=>[5,1,1] [[1,1,1,2,3],[2],[3]]=>[5,1,1] [[1,1,1,3,3],[2],[3]]=>[5,1,1] [[1,1,2,2,2],[2],[3]]=>[5,1,1] [[1,1,2,2,3],[2],[3]]=>[5,1,1] [[1,1,2,3,3],[2],[3]]=>[5,1,1] [[1,1,3,3,3],[2],[3]]=>[5,1,1] [[1,2,2,2,2],[2],[3]]=>[5,1,1] [[1,2,2,2,3],[2],[3]]=>[5,1,1] [[1,2,2,3,3],[2],[3]]=>[5,1,1] [[1,2,3,3,3],[2],[3]]=>[5,1,1] [[1,3,3,3,3],[2],[3]]=>[5,1,1] [[1,1,1,1],[2,2,3]]=>[4,3] [[1,1,1,1],[2,3,3]]=>[4,3] [[1,1,1,1],[3,3,3]]=>[4,3] [[1,1,1,2],[2,2,3]]=>[4,3] [[1,1,1,3],[2,2,2]]=>[4,3] [[1,1,1,2],[2,3,3]]=>[4,3] [[1,1,1,3],[2,2,3]]=>[4,3] [[1,1,1,2],[3,3,3]]=>[4,3] [[1,1,1,3],[2,3,3]]=>[4,3] [[1,1,1,3],[3,3,3]]=>[4,3] [[1,1,2,2],[2,2,3]]=>[4,3] [[1,1,2,2],[2,3,3]]=>[4,3] [[1,1,2,3],[2,2,3]]=>[4,3] [[1,1,2,2],[3,3,3]]=>[4,3] [[1,1,2,3],[2,3,3]]=>[4,3] [[1,1,2,3],[3,3,3]]=>[4,3] [[1,2,2,2],[2,3,3]]=>[4,3] [[1,2,2,2],[3,3,3]]=>[4,3] [[1,2,2,3],[2,3,3]]=>[4,3] [[1,2,2,3],[3,3,3]]=>[4,3] [[2,2,2,2],[3,3,3]]=>[4,3] [[2,2,2,3],[3,3,3]]=>[4,3] [[1,1,1,1],[2,2],[3]]=>[4,2,1] [[1,1,1,1],[2,3],[3]]=>[4,2,1] [[1,1,1,2],[2,2],[3]]=>[4,2,1] [[1,1,1,2],[2,3],[3]]=>[4,2,1] [[1,1,1,3],[2,2],[3]]=>[4,2,1] [[1,1,1,3],[2,3],[3]]=>[4,2,1] [[1,1,2,2],[2,2],[3]]=>[4,2,1] [[1,1,2,2],[2,3],[3]]=>[4,2,1] [[1,1,2,3],[2,2],[3]]=>[4,2,1] [[1,1,2,3],[2,3],[3]]=>[4,2,1] [[1,1,3,3],[2,2],[3]]=>[4,2,1] [[1,1,3,3],[2,3],[3]]=>[4,2,1] [[1,2,2,2],[2,3],[3]]=>[4,2,1] [[1,2,2,3],[2,3],[3]]=>[4,2,1] [[1,2,3,3],[2,3],[3]]=>[4,2,1] [[1,1,1],[2,2,2],[3]]=>[3,3,1] [[1,1,1],[2,2,3],[3]]=>[3,3,1] [[1,1,1],[2,3,3],[3]]=>[3,3,1] [[1,1,2],[2,2,3],[3]]=>[3,3,1] [[1,1,2],[2,3,3],[3]]=>[3,3,1] [[1,2,2],[2,3,3],[3]]=>[3,3,1] [[1,1,1],[2,2],[3,3]]=>[3,2,2] [[1,1,2],[2,2],[3,3]]=>[3,2,2] [[1,1,3],[2,2],[3,3]]=>[3,2,2] [[1,1,1,1,1,1,1,2]]=>[8] [[1,1,1,1,1,1,2,2]]=>[8] [[1,1,1,1,1,2,2,2]]=>[8] [[1,1,1,1,2,2,2,2]]=>[8] [[1,1,1,2,2,2,2,2]]=>[8] [[1,1,2,2,2,2,2,2]]=>[8] [[1,2,2,2,2,2,2,2]]=>[8] [[2,2,2,2,2,2,2,2]]=>[8] [[1,1,1,1,1,1,1],[2]]=>[7,1] [[1,1,1,1,1,1,2],[2]]=>[7,1] [[1,1,1,1,1,2,2],[2]]=>[7,1] [[1,1,1,1,2,2,2],[2]]=>[7,1] [[1,1,1,2,2,2,2],[2]]=>[7,1] [[1,1,2,2,2,2,2],[2]]=>[7,1] [[1,2,2,2,2,2,2],[2]]=>[7,1] [[1,1,1,1,1,1],[2,2]]=>[6,2] [[1,1,1,1,1,2],[2,2]]=>[6,2] [[1,1,1,1,2,2],[2,2]]=>[6,2] [[1,1,1,2,2,2],[2,2]]=>[6,2] [[1,1,2,2,2,2],[2,2]]=>[6,2] [[1,1,1,1,1],[2,2,2]]=>[5,3] [[1,1,1,1,2],[2,2,2]]=>[5,3] [[1,1,1,2,2],[2,2,2]]=>[5,3] [[1,1,1,1],[2,2,2,2]]=>[4,4] [[1,1,1,1],[2,2,2],[3,3],[4]]=>[4,3,2,1] [[1,1,1,2],[2,2,2],[3,3],[4]]=>[4,3,2,1] [[1,1,1,1],[2,2,3],[3,3],[4]]=>[4,3,2,1] [[1,1,1,2],[2,2,3],[3,3],[4]]=>[4,3,2,1] [[1,1,1,3],[2,2,3],[3,3],[4]]=>[4,3,2,1] [[1,1,2,2],[2,2,3],[3,3],[4]]=>[4,3,2,1] [[1,1,2,3],[2,2,3],[3,3],[4]]=>[4,3,2,1] [[1,1,1,1],[2,2,2],[3,4],[4]]=>[4,3,2,1] [[1,1,1,2],[2,2,2],[3,4],[4]]=>[4,3,2,1] [[1,1,1,1],[2,2,3],[3,4],[4]]=>[4,3,2,1] [[1,1,1,2],[2,2,3],[3,4],[4]]=>[4,3,2,1] [[1,1,1,3],[2,2,3],[3,4],[4]]=>[4,3,2,1] [[1,1,2,2],[2,2,3],[3,4],[4]]=>[4,3,2,1] [[1,1,2,3],[2,2,3],[3,4],[4]]=>[4,3,2,1] [[1,1,1,1],[2,2,4],[3,4],[4]]=>[4,3,2,1] [[1,1,1,2],[2,2,4],[3,4],[4]]=>[4,3,2,1] [[1,1,1,3],[2,2,4],[3,4],[4]]=>[4,3,2,1] [[1,1,1,4],[2,2,4],[3,4],[4]]=>[4,3,2,1] [[1,1,2,2],[2,2,4],[3,4],[4]]=>[4,3,2,1] [[1,1,2,3],[2,2,4],[3,4],[4]]=>[4,3,2,1] [[1,1,2,4],[2,2,4],[3,4],[4]]=>[4,3,2,1] [[1,1,1,1],[2,3,3],[3,4],[4]]=>[4,3,2,1] [[1,1,1,2],[2,3,3],[3,4],[4]]=>[4,3,2,1] [[1,1,1,3],[2,3,3],[3,4],[4]]=>[4,3,2,1] [[1,1,2,2],[2,3,3],[3,4],[4]]=>[4,3,2,1] [[1,1,2,3],[2,3,3],[3,4],[4]]=>[4,3,2,1] [[1,1,1,1],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,1,1,2],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,1,1,3],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,1,1,4],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,1,2,2],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,1,2,3],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,1,2,4],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,1,3,3],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,1,3,4],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,2,2,2],[2,3,3],[3,4],[4]]=>[4,3,2,1] [[1,2,2,3],[2,3,3],[3,4],[4]]=>[4,3,2,1] [[1,2,2,2],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,2,2,3],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,2,2,4],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,2,3,3],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,2,3,4],[2,3,4],[3,4],[4]]=>[4,3,2,1] [[1,1,1,1,2,2,2],[3,3],[4]]=>[7,2,1] [[1,1,1,2,2,2,2],[3,3],[4]]=>[7,2,1] [[1,1,1,1,2,2,3],[3,3],[4]]=>[7,2,1] [[1,1,1,2,2,2,3],[3,3],[4]]=>[7,2,1] [[1,1,1,2,2,3,3],[3,3],[4]]=>[7,2,1] [[1,1,2,2,2,2,3],[3,3],[4]]=>[7,2,1] [[1,1,2,2,2,3,3],[3,3],[4]]=>[7,2,1] [[1,1,1,1,2,2,2],[3,4],[4]]=>[7,2,1] [[1,1,1,2,2,2,2],[3,4],[4]]=>[7,2,1] [[1,1,1,1,2,2,3],[3,4],[4]]=>[7,2,1] [[1,1,1,2,2,2,3],[3,4],[4]]=>[7,2,1] [[1,1,1,2,2,3],[3,3,4],[4]]=>[6,3,1] [[1,1,2,2,2,2,3],[3,4],[4]]=>[7,2,1] [[1,1,2,2,2,3],[3,3,4],[4]]=>[6,3,1] [[1,1,1,1,2,2,4],[3,4],[4]]=>[7,2,1] [[1,1,1,2,2,2,4],[3,4],[4]]=>[7,2,1] [[1,1,1,2,2,4,4],[3,3],[4]]=>[7,2,1] [[1,1,1,2,2,4,4],[3,4],[4]]=>[7,2,1] [[1,1,2,2,2,2,4],[3,4],[4]]=>[7,2,1] [[1,1,2,2,2,4,4],[3,3],[4]]=>[7,2,1] [[1,1,2,2,2,4,4],[3,4],[4]]=>[7,2,1] [[1,1,1,1,2,3,3],[3,4],[4]]=>[7,2,1] [[1,1,1,2,2,3,3],[3,4],[4]]=>[7,2,1] [[1,1,1,2,3,3,3],[3,4],[4]]=>[7,2,1] [[1,1,2,2,2,3,3],[3,4],[4]]=>[7,2,1] [[1,1,2,2,3,3,3],[3,4],[4]]=>[7,2,1] [[1,1,1,1,2,3,4],[3,4],[4]]=>[7,2,1] [[1,1,1,2,2,3,4],[3,4],[4]]=>[7,2,1] [[1,1,1,2,3,3,4],[3,4],[4]]=>[7,2,1] [[1,1,1,2,3,4,4],[3,4],[4]]=>[7,2,1] [[1,1,2,2,2,3,4],[3,4],[4]]=>[7,2,1] [[1,1,2,2,3,3,4],[3,4],[4]]=>[7,2,1] [[1,1,2,2,3,4,4],[3,4],[4]]=>[7,2,1] [[1,1,2,3,3,3,4],[3,4],[4]]=>[7,2,1] [[1,1,2,3,3,4,4],[3,4],[4]]=>[7,2,1] [[1,2,2,2,2,3,3],[3,4],[4]]=>[7,2,1] [[1,2,2,2,3,3,3],[3,4],[4]]=>[7,2,1] [[1,2,2,2,2,3,4],[3,4],[4]]=>[7,2,1] [[1,2,2,2,3,3,4],[3,4],[4]]=>[7,2,1] [[1,2,2,2,3,4,4],[3,4],[4]]=>[7,2,1] [[1,2,2,3,3,3,4],[3,4],[4]]=>[7,2,1] [[1,2,2,3,3,4,4],[3,4],[4]]=>[7,2,1]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
Return the shape of a tableau.
Properties
surjective, graded
Sage code
def mapping(elt):
    return Partition([len(row) for row in elt])
Weight
26
Created
Jan 26, 2020 at 12:32 by FindStatCrew
Updated
Jan 26, 2020 at 12:32 by Martin Rubey