edit this map or download as text // json
Identifier
Mp00183: Skew partitions —inner shape⟶ Integer partitions
Images
=>
Cc0028;cc-rep-0Cc0002;cc-rep-1
[[1],[]]=>[] [[2],[]]=>[] [[1,1],[]]=>[] [[2,1],[1]]=>[1] [[3],[]]=>[] [[2,1],[]]=>[] [[3,1],[1]]=>[1] [[2,2],[1]]=>[1] [[3,2],[2]]=>[2] [[1,1,1],[]]=>[] [[2,2,1],[1,1]]=>[1,1] [[2,1,1],[1]]=>[1] [[3,2,1],[2,1]]=>[2,1] [[4],[]]=>[] [[3,1],[]]=>[] [[4,1],[1]]=>[1] [[2,2],[]]=>[] [[3,2],[1]]=>[1] [[4,2],[2]]=>[2] [[2,1,1],[]]=>[] [[3,2,1],[1,1]]=>[1,1] [[3,1,1],[1]]=>[1] [[4,2,1],[2,1]]=>[2,1] [[3,3],[2]]=>[2] [[4,3],[3]]=>[3] [[2,2,1],[1]]=>[1] [[3,3,1],[2,1]]=>[2,1] [[3,2,1],[2]]=>[2] [[4,3,1],[3,1]]=>[3,1] [[2,2,2],[1,1]]=>[1,1] [[3,3,2],[2,2]]=>[2,2] [[3,2,2],[2,1]]=>[2,1] [[4,3,2],[3,2]]=>[3,2] [[1,1,1,1],[]]=>[] [[2,2,2,1],[1,1,1]]=>[1,1,1] [[2,2,1,1],[1,1]]=>[1,1] [[3,3,2,1],[2,2,1]]=>[2,2,1] [[2,1,1,1],[1]]=>[1] [[3,2,2,1],[2,1,1]]=>[2,1,1] [[3,2,1,1],[2,1]]=>[2,1] [[4,3,2,1],[3,2,1]]=>[3,2,1] [[5],[]]=>[] [[4,1],[]]=>[] [[5,1],[1]]=>[1] [[3,2],[]]=>[] [[4,2],[1]]=>[1] [[5,2],[2]]=>[2] [[3,1,1],[]]=>[] [[4,2,1],[1,1]]=>[1,1] [[4,1,1],[1]]=>[1] [[5,2,1],[2,1]]=>[2,1] [[3,3],[1]]=>[1] [[4,3],[2]]=>[2] [[5,3],[3]]=>[3] [[2,2,1],[]]=>[] [[3,3,1],[1,1]]=>[1,1] [[3,2,1],[1]]=>[1] [[4,3,1],[2,1]]=>[2,1] [[4,2,1],[2]]=>[2] [[5,3,1],[3,1]]=>[3,1] [[3,2,2],[1,1]]=>[1,1] [[4,3,2],[2,2]]=>[2,2] [[4,2,2],[2,1]]=>[2,1] [[5,3,2],[3,2]]=>[3,2] [[2,1,1,1],[]]=>[] [[3,2,2,1],[1,1,1]]=>[1,1,1] [[3,2,1,1],[1,1]]=>[1,1] [[4,3,2,1],[2,2,1]]=>[2,2,1] [[3,1,1,1],[1]]=>[1] [[4,2,2,1],[2,1,1]]=>[2,1,1] [[4,2,1,1],[2,1]]=>[2,1] [[5,3,2,1],[3,2,1]]=>[3,2,1] [[4,4],[3]]=>[3] [[5,4],[4]]=>[4] [[3,3,1],[2]]=>[2] [[4,4,1],[3,1]]=>[3,1] [[4,3,1],[3]]=>[3] [[5,4,1],[4,1]]=>[4,1] [[2,2,2],[1]]=>[1] [[3,3,2],[2,1]]=>[2,1] [[4,4,2],[3,2]]=>[3,2] [[3,2,2],[2]]=>[2] [[4,3,2],[3,1]]=>[3,1] [[5,4,2],[4,2]]=>[4,2] [[2,2,1,1],[1]]=>[1] [[3,3,2,1],[2,1,1]]=>[2,1,1] [[3,3,1,1],[2,1]]=>[2,1] [[4,4,2,1],[3,2,1]]=>[3,2,1] [[3,2,1,1],[2]]=>[2] [[4,3,2,1],[3,1,1]]=>[3,1,1] [[4,3,1,1],[3,1]]=>[3,1] [[5,4,2,1],[4,2,1]]=>[4,2,1] [[3,3,3],[2,2]]=>[2,2] [[4,4,3],[3,3]]=>[3,3] [[4,3,3],[3,2]]=>[3,2] [[5,4,3],[4,3]]=>[4,3] [[2,2,2,1],[1,1]]=>[1,1] [[3,3,3,1],[2,2,1]]=>[2,2,1] [[3,3,2,1],[2,2]]=>[2,2] [[4,4,3,1],[3,3,1]]=>[3,3,1] [[3,2,2,1],[2,1]]=>[2,1] [[4,3,3,1],[3,2,1]]=>[3,2,1] [[4,3,2,1],[3,2]]=>[3,2] [[5,4,3,1],[4,3,1]]=>[4,3,1] [[2,2,2,2],[1,1,1]]=>[1,1,1] [[3,3,3,2],[2,2,2]]=>[2,2,2] [[3,3,2,2],[2,2,1]]=>[2,2,1] [[4,4,3,2],[3,3,2]]=>[3,3,2] [[3,2,2,2],[2,1,1]]=>[2,1,1] [[4,3,3,2],[3,2,2]]=>[3,2,2] [[4,3,2,2],[3,2,1]]=>[3,2,1] [[5,4,3,2],[4,3,2]]=>[4,3,2] [[1,1,1,1,1],[]]=>[] [[2,2,2,2,1],[1,1,1,1]]=>[1,1,1,1] [[2,2,2,1,1],[1,1,1]]=>[1,1,1] [[3,3,3,2,1],[2,2,2,1]]=>[2,2,2,1] [[2,2,1,1,1],[1,1]]=>[1,1] [[3,3,2,2,1],[2,2,1,1]]=>[2,2,1,1] [[3,3,2,1,1],[2,2,1]]=>[2,2,1] [[4,4,3,2,1],[3,3,2,1]]=>[3,3,2,1] [[2,1,1,1,1],[1]]=>[1] [[3,2,2,2,1],[2,1,1,1]]=>[2,1,1,1] [[3,2,2,1,1],[2,1,1]]=>[2,1,1] [[4,3,3,2,1],[3,2,2,1]]=>[3,2,2,1] [[3,2,1,1,1],[2,1]]=>[2,1] [[4,3,2,2,1],[3,2,1,1]]=>[3,2,1,1] [[4,3,2,1,1],[3,2,1]]=>[3,2,1] [[5,4,3,2,1],[4,3,2,1]]=>[4,3,2,1] [[6],[]]=>[] [[5,1],[]]=>[] [[6,1],[1]]=>[1] [[4,2],[]]=>[] [[5,2],[1]]=>[1] [[6,2],[2]]=>[2] [[4,1,1],[]]=>[] [[5,2,1],[1,1]]=>[1,1] [[5,1,1],[1]]=>[1] [[6,2,1],[2,1]]=>[2,1] [[3,3],[]]=>[] [[4,3],[1]]=>[1] [[5,3],[2]]=>[2] [[6,3],[3]]=>[3] [[3,2,1],[]]=>[] [[4,3,1],[1,1]]=>[1,1] [[4,2,1],[1]]=>[1] [[5,3,1],[2,1]]=>[2,1] [[5,2,1],[2]]=>[2] [[6,3,1],[3,1]]=>[3,1] [[4,2,2],[1,1]]=>[1,1] [[5,3,2],[2,2]]=>[2,2] [[5,2,2],[2,1]]=>[2,1] [[6,3,2],[3,2]]=>[3,2] [[3,1,1,1],[]]=>[] [[4,2,2,1],[1,1,1]]=>[1,1,1] [[4,2,1,1],[1,1]]=>[1,1] [[5,3,2,1],[2,2,1]]=>[2,2,1] [[4,1,1,1],[1]]=>[1] [[5,2,2,1],[2,1,1]]=>[2,1,1] [[5,2,1,1],[2,1]]=>[2,1] [[6,3,2,1],[3,2,1]]=>[3,2,1] [[4,4],[2]]=>[2] [[5,4],[3]]=>[3] [[6,4],[4]]=>[4] [[3,3,1],[1]]=>[1] [[4,4,1],[2,1]]=>[2,1] [[4,3,1],[2]]=>[2] [[5,4,1],[3,1]]=>[3,1] [[5,3,1],[3]]=>[3] [[6,4,1],[4,1]]=>[4,1] [[2,2,2],[]]=>[] [[3,3,2],[1,1]]=>[1,1] [[4,4,2],[2,2]]=>[2,2] [[3,2,2],[1]]=>[1] [[4,3,2],[2,1]]=>[2,1] [[5,4,2],[3,2]]=>[3,2] [[4,2,2],[2]]=>[2] [[5,3,2],[3,1]]=>[3,1] [[6,4,2],[4,2]]=>[4,2] [[2,2,1,1],[]]=>[] [[3,3,2,1],[1,1,1]]=>[1,1,1] [[3,3,1,1],[1,1]]=>[1,1] [[4,4,2,1],[2,2,1]]=>[2,2,1] [[3,2,1,1],[1]]=>[1] [[4,3,2,1],[2,1,1]]=>[2,1,1] [[4,3,1,1],[2,1]]=>[2,1] [[5,4,2,1],[3,2,1]]=>[3,2,1] [[4,2,1,1],[2]]=>[2] [[5,3,2,1],[3,1,1]]=>[3,1,1] [[5,3,1,1],[3,1]]=>[3,1] [[6,4,2,1],[4,2,1]]=>[4,2,1] [[4,3,3],[2,2]]=>[2,2] [[5,4,3],[3,3]]=>[3,3] [[5,3,3],[3,2]]=>[3,2] [[6,4,3],[4,3]]=>[4,3] [[3,2,2,1],[1,1]]=>[1,1] [[4,3,3,1],[2,2,1]]=>[2,2,1] [[4,3,2,1],[2,2]]=>[2,2] [[5,4,3,1],[3,3,1]]=>[3,3,1] [[4,2,2,1],[2,1]]=>[2,1] [[5,3,3,1],[3,2,1]]=>[3,2,1] [[5,3,2,1],[3,2]]=>[3,2] [[6,4,3,1],[4,3,1]]=>[4,3,1] [[3,2,2,2],[1,1,1]]=>[1,1,1] [[4,3,3,2],[2,2,2]]=>[2,2,2] [[4,3,2,2],[2,2,1]]=>[2,2,1] [[5,4,3,2],[3,3,2]]=>[3,3,2] [[4,2,2,2],[2,1,1]]=>[2,1,1] [[5,3,3,2],[3,2,2]]=>[3,2,2] [[5,3,2,2],[3,2,1]]=>[3,2,1] [[6,4,3,2],[4,3,2]]=>[4,3,2] [[2,1,1,1,1],[]]=>[] [[3,2,2,2,1],[1,1,1,1]]=>[1,1,1,1] [[3,2,2,1,1],[1,1,1]]=>[1,1,1] [[4,3,3,2,1],[2,2,2,1]]=>[2,2,2,1] [[3,2,1,1,1],[1,1]]=>[1,1] [[4,3,2,2,1],[2,2,1,1]]=>[2,2,1,1] [[4,3,2,1,1],[2,2,1]]=>[2,2,1] [[5,4,3,2,1],[3,3,2,1]]=>[3,3,2,1] [[3,1,1,1,1],[1]]=>[1] [[4,2,2,2,1],[2,1,1,1]]=>[2,1,1,1] [[4,2,2,1,1],[2,1,1]]=>[2,1,1] [[5,3,3,2,1],[3,2,2,1]]=>[3,2,2,1] [[4,2,1,1,1],[2,1]]=>[2,1] [[5,3,2,2,1],[3,2,1,1]]=>[3,2,1,1] [[5,3,2,1,1],[3,2,1]]=>[3,2,1] [[6,4,3,2,1],[4,3,2,1]]=>[4,3,2,1] [[5,5],[4]]=>[4] [[6,5],[5]]=>[5] [[4,4,1],[3]]=>[3] [[5,5,1],[4,1]]=>[4,1] [[5,4,1],[4]]=>[4] [[6,5,1],[5,1]]=>[5,1] [[3,3,2],[2]]=>[2] [[4,4,2],[3,1]]=>[3,1] [[5,5,2],[4,2]]=>[4,2] [[4,3,2],[3]]=>[3] [[5,4,2],[4,1]]=>[4,1] [[6,5,2],[5,2]]=>[5,2] [[3,3,1,1],[2]]=>[2] [[4,4,2,1],[3,1,1]]=>[3,1,1] [[4,4,1,1],[3,1]]=>[3,1] [[5,5,2,1],[4,2,1]]=>[4,2,1] [[4,3,1,1],[3]]=>[3] [[5,4,2,1],[4,1,1]]=>[4,1,1] [[5,4,1,1],[4,1]]=>[4,1] [[6,5,2,1],[5,2,1]]=>[5,2,1] [[3,3,3],[2,1]]=>[2,1] [[4,4,3],[3,2]]=>[3,2] [[5,5,3],[4,3]]=>[4,3] [[4,3,3],[3,1]]=>[3,1] [[5,4,3],[4,2]]=>[4,2] [[6,5,3],[5,3]]=>[5,3] [[2,2,2,1],[1]]=>[1] [[3,3,3,1],[2,1,1]]=>[2,1,1] [[3,3,2,1],[2,1]]=>[2,1] [[4,4,3,1],[3,2,1]]=>[3,2,1] [[4,4,2,1],[3,2]]=>[3,2] [[5,5,3,1],[4,3,1]]=>[4,3,1] [[3,2,2,1],[2]]=>[2] [[4,3,3,1],[3,1,1]]=>[3,1,1] [[4,3,2,1],[3,1]]=>[3,1] [[5,4,3,1],[4,2,1]]=>[4,2,1] [[5,4,2,1],[4,2]]=>[4,2] [[6,5,3,1],[5,3,1]]=>[5,3,1] [[3,3,2,2],[2,1,1]]=>[2,1,1] [[4,4,3,2],[3,2,2]]=>[3,2,2] [[4,4,2,2],[3,2,1]]=>[3,2,1] [[5,5,3,2],[4,3,2]]=>[4,3,2] [[4,3,2,2],[3,1,1]]=>[3,1,1] [[5,4,3,2],[4,2,2]]=>[4,2,2] [[5,4,2,2],[4,2,1]]=>[4,2,1] [[6,5,3,2],[5,3,2]]=>[5,3,2] [[2,2,1,1,1],[1]]=>[1] [[3,3,2,2,1],[2,1,1,1]]=>[2,1,1,1] [[3,3,2,1,1],[2,1,1]]=>[2,1,1] [[4,4,3,2,1],[3,2,2,1]]=>[3,2,2,1] [[3,3,1,1,1],[2,1]]=>[2,1] [[4,4,2,2,1],[3,2,1,1]]=>[3,2,1,1] [[4,4,2,1,1],[3,2,1]]=>[3,2,1] [[5,5,3,2,1],[4,3,2,1]]=>[4,3,2,1] [[3,2,1,1,1],[2]]=>[2] [[4,3,2,2,1],[3,1,1,1]]=>[3,1,1,1] [[4,3,2,1,1],[3,1,1]]=>[3,1,1] [[5,4,3,2,1],[4,2,2,1]]=>[4,2,2,1] [[4,3,1,1,1],[3,1]]=>[3,1] [[5,4,2,2,1],[4,2,1,1]]=>[4,2,1,1] [[5,4,2,1,1],[4,2,1]]=>[4,2,1] [[6,5,3,2,1],[5,3,2,1]]=>[5,3,2,1] [[4,4,4],[3,3]]=>[3,3] [[5,5,4],[4,4]]=>[4,4] [[5,4,4],[4,3]]=>[4,3] [[6,5,4],[5,4]]=>[5,4] [[3,3,3,1],[2,2]]=>[2,2] [[4,4,4,1],[3,3,1]]=>[3,3,1] [[4,4,3,1],[3,3]]=>[3,3] [[5,5,4,1],[4,4,1]]=>[4,4,1] [[4,3,3,1],[3,2]]=>[3,2] [[5,4,4,1],[4,3,1]]=>[4,3,1] [[5,4,3,1],[4,3]]=>[4,3] [[6,5,4,1],[5,4,1]]=>[5,4,1] [[2,2,2,2],[1,1]]=>[1,1] [[3,3,3,2],[2,2,1]]=>[2,2,1] [[4,4,4,2],[3,3,2]]=>[3,3,2] [[3,3,2,2],[2,2]]=>[2,2] [[4,4,3,2],[3,3,1]]=>[3,3,1] [[5,5,4,2],[4,4,2]]=>[4,4,2] [[3,2,2,2],[2,1]]=>[2,1] [[4,3,3,2],[3,2,1]]=>[3,2,1] [[5,4,4,2],[4,3,2]]=>[4,3,2] [[4,3,2,2],[3,2]]=>[3,2] [[5,4,3,2],[4,3,1]]=>[4,3,1] [[6,5,4,2],[5,4,2]]=>[5,4,2] [[2,2,2,1,1],[1,1]]=>[1,1] [[3,3,3,2,1],[2,2,1,1]]=>[2,2,1,1] [[3,3,3,1,1],[2,2,1]]=>[2,2,1] [[4,4,4,2,1],[3,3,2,1]]=>[3,3,2,1] [[3,3,2,1,1],[2,2]]=>[2,2] [[4,4,3,2,1],[3,3,1,1]]=>[3,3,1,1] [[4,4,3,1,1],[3,3,1]]=>[3,3,1] [[5,5,4,2,1],[4,4,2,1]]=>[4,4,2,1] [[3,2,2,1,1],[2,1]]=>[2,1] [[4,3,3,2,1],[3,2,1,1]]=>[3,2,1,1] [[4,3,3,1,1],[3,2,1]]=>[3,2,1] [[5,4,4,2,1],[4,3,2,1]]=>[4,3,2,1] [[4,3,2,1,1],[3,2]]=>[3,2] [[5,4,3,2,1],[4,3,1,1]]=>[4,3,1,1] [[5,4,3,1,1],[4,3,1]]=>[4,3,1] [[6,5,4,2,1],[5,4,2,1]]=>[5,4,2,1] [[3,3,3,3],[2,2,2]]=>[2,2,2] [[4,4,4,3],[3,3,3]]=>[3,3,3] [[4,4,3,3],[3,3,2]]=>[3,3,2] [[5,5,4,3],[4,4,3]]=>[4,4,3] [[4,3,3,3],[3,2,2]]=>[3,2,2] [[5,4,4,3],[4,3,3]]=>[4,3,3] [[5,4,3,3],[4,3,2]]=>[4,3,2] [[6,5,4,3],[5,4,3]]=>[5,4,3] [[2,2,2,2,1],[1,1,1]]=>[1,1,1] [[3,3,3,3,1],[2,2,2,1]]=>[2,2,2,1] [[3,3,3,2,1],[2,2,2]]=>[2,2,2] [[4,4,4,3,1],[3,3,3,1]]=>[3,3,3,1] [[3,3,2,2,1],[2,2,1]]=>[2,2,1] [[4,4,3,3,1],[3,3,2,1]]=>[3,3,2,1] [[4,4,3,2,1],[3,3,2]]=>[3,3,2] [[5,5,4,3,1],[4,4,3,1]]=>[4,4,3,1] [[3,2,2,2,1],[2,1,1]]=>[2,1,1] [[4,3,3,3,1],[3,2,2,1]]=>[3,2,2,1] [[4,3,3,2,1],[3,2,2]]=>[3,2,2] [[5,4,4,3,1],[4,3,3,1]]=>[4,3,3,1] [[4,3,2,2,1],[3,2,1]]=>[3,2,1] [[5,4,3,3,1],[4,3,2,1]]=>[4,3,2,1] [[5,4,3,2,1],[4,3,2]]=>[4,3,2] [[6,5,4,3,1],[5,4,3,1]]=>[5,4,3,1] [[2,2,2,2,2],[1,1,1,1]]=>[1,1,1,1] [[3,3,3,3,2],[2,2,2,2]]=>[2,2,2,2] [[3,3,3,2,2],[2,2,2,1]]=>[2,2,2,1] [[4,4,4,3,2],[3,3,3,2]]=>[3,3,3,2] [[3,3,2,2,2],[2,2,1,1]]=>[2,2,1,1] [[4,4,3,3,2],[3,3,2,2]]=>[3,3,2,2] [[4,4,3,2,2],[3,3,2,1]]=>[3,3,2,1] [[5,5,4,3,2],[4,4,3,2]]=>[4,4,3,2] [[3,2,2,2,2],[2,1,1,1]]=>[2,1,1,1] [[4,3,3,3,2],[3,2,2,2]]=>[3,2,2,2] [[4,3,3,2,2],[3,2,2,1]]=>[3,2,2,1] [[5,4,4,3,2],[4,3,3,2]]=>[4,3,3,2] [[4,3,2,2,2],[3,2,1,1]]=>[3,2,1,1] [[5,4,3,3,2],[4,3,2,2]]=>[4,3,2,2] [[5,4,3,2,2],[4,3,2,1]]=>[4,3,2,1] [[6,5,4,3,2],[5,4,3,2]]=>[5,4,3,2] [[1,1,1,1,1,1],[]]=>[] [[2,2,2,2,2,1],[1,1,1,1,1]]=>[1,1,1,1,1] [[2,2,2,2,1,1],[1,1,1,1]]=>[1,1,1,1] [[3,3,3,3,2,1],[2,2,2,2,1]]=>[2,2,2,2,1] [[2,2,2,1,1,1],[1,1,1]]=>[1,1,1] [[3,3,3,2,2,1],[2,2,2,1,1]]=>[2,2,2,1,1] [[3,3,3,2,1,1],[2,2,2,1]]=>[2,2,2,1] [[4,4,4,3,2,1],[3,3,3,2,1]]=>[3,3,3,2,1] [[2,2,1,1,1,1],[1,1]]=>[1,1] [[3,3,2,2,2,1],[2,2,1,1,1]]=>[2,2,1,1,1] [[3,3,2,2,1,1],[2,2,1,1]]=>[2,2,1,1] [[4,4,3,3,2,1],[3,3,2,2,1]]=>[3,3,2,2,1] [[3,3,2,1,1,1],[2,2,1]]=>[2,2,1] [[4,4,3,2,2,1],[3,3,2,1,1]]=>[3,3,2,1,1] [[4,4,3,2,1,1],[3,3,2,1]]=>[3,3,2,1] [[5,5,4,3,2,1],[4,4,3,2,1]]=>[4,4,3,2,1] [[2,1,1,1,1,1],[1]]=>[1] [[3,2,2,2,2,1],[2,1,1,1,1]]=>[2,1,1,1,1] [[3,2,2,2,1,1],[2,1,1,1]]=>[2,1,1,1] [[4,3,3,3,2,1],[3,2,2,2,1]]=>[3,2,2,2,1] [[3,2,2,1,1,1],[2,1,1]]=>[2,1,1] [[4,3,3,2,2,1],[3,2,2,1,1]]=>[3,2,2,1,1] [[4,3,3,2,1,1],[3,2,2,1]]=>[3,2,2,1] [[5,4,4,3,2,1],[4,3,3,2,1]]=>[4,3,3,2,1] [[3,2,1,1,1,1],[2,1]]=>[2,1] [[4,3,2,2,2,1],[3,2,1,1,1]]=>[3,2,1,1,1] [[4,3,2,2,1,1],[3,2,1,1]]=>[3,2,1,1] [[5,4,3,3,2,1],[4,3,2,2,1]]=>[4,3,2,2,1] [[4,3,2,1,1,1],[3,2,1]]=>[3,2,1] [[5,4,3,2,2,1],[4,3,2,1,1]]=>[4,3,2,1,1] [[5,4,3,2,1,1],[4,3,2,1]]=>[4,3,2,1] [[6,5,4,3,2,1],[5,4,3,2,1]]=>[5,4,3,2,1] [[7],[]]=>[] [[6,1],[]]=>[] [[7,1],[1]]=>[1] [[5,2],[]]=>[] [[6,2],[1]]=>[1] [[7,2],[2]]=>[2] [[5,1,1],[]]=>[] [[6,2,1],[1,1]]=>[1,1] [[6,1,1],[1]]=>[1] [[7,2,1],[2,1]]=>[2,1] [[4,3],[]]=>[] [[5,3],[1]]=>[1] [[6,3],[2]]=>[2] [[7,3],[3]]=>[3] [[4,2,1],[]]=>[] [[5,3,1],[1,1]]=>[1,1] [[5,2,1],[1]]=>[1] [[6,3,1],[2,1]]=>[2,1] [[6,2,1],[2]]=>[2] [[7,3,1],[3,1]]=>[3,1] [[5,2,2],[1,1]]=>[1,1] [[6,3,2],[2,2]]=>[2,2] [[6,2,2],[2,1]]=>[2,1] [[7,3,2],[3,2]]=>[3,2] [[4,1,1,1],[]]=>[] [[5,2,2,1],[1,1,1]]=>[1,1,1] [[5,2,1,1],[1,1]]=>[1,1] [[6,3,2,1],[2,2,1]]=>[2,2,1] [[5,1,1,1],[1]]=>[1] [[6,2,2,1],[2,1,1]]=>[2,1,1] [[6,2,1,1],[2,1]]=>[2,1] [[7,3,2,1],[3,2,1]]=>[3,2,1] [[4,4],[1]]=>[1] [[5,4],[2]]=>[2] [[6,4],[3]]=>[3] [[7,4],[4]]=>[4] [[3,3,1],[]]=>[] [[4,4,1],[1,1]]=>[1,1] [[4,3,1],[1]]=>[1] [[5,4,1],[2,1]]=>[2,1] [[5,3,1],[2]]=>[2] [[6,4,1],[3,1]]=>[3,1] [[6,3,1],[3]]=>[3] [[7,4,1],[4,1]]=>[4,1] [[3,2,2],[]]=>[] [[4,3,2],[1,1]]=>[1,1] [[5,4,2],[2,2]]=>[2,2] [[4,2,2],[1]]=>[1] [[5,3,2],[2,1]]=>[2,1] [[6,4,2],[3,2]]=>[3,2] [[5,2,2],[2]]=>[2] [[6,3,2],[3,1]]=>[3,1] [[7,4,2],[4,2]]=>[4,2] [[3,2,1,1],[]]=>[] [[4,3,2,1],[1,1,1]]=>[1,1,1] [[4,3,1,1],[1,1]]=>[1,1] [[5,4,2,1],[2,2,1]]=>[2,2,1] [[4,2,1,1],[1]]=>[1] [[5,3,2,1],[2,1,1]]=>[2,1,1] [[5,3,1,1],[2,1]]=>[2,1] [[6,4,2,1],[3,2,1]]=>[3,2,1] [[5,2,1,1],[2]]=>[2] [[6,3,2,1],[3,1,1]]=>[3,1,1] [[6,3,1,1],[3,1]]=>[3,1] [[7,4,2,1],[4,2,1]]=>[4,2,1] [[5,3,3],[2,2]]=>[2,2] [[6,4,3],[3,3]]=>[3,3] [[6,3,3],[3,2]]=>[3,2] [[7,4,3],[4,3]]=>[4,3] [[4,2,2,1],[1,1]]=>[1,1] [[5,3,3,1],[2,2,1]]=>[2,2,1] [[5,3,2,1],[2,2]]=>[2,2] [[6,4,3,1],[3,3,1]]=>[3,3,1] [[5,2,2,1],[2,1]]=>[2,1] [[6,3,3,1],[3,2,1]]=>[3,2,1] [[6,3,2,1],[3,2]]=>[3,2] [[7,4,3,1],[4,3,1]]=>[4,3,1] [[4,2,2,2],[1,1,1]]=>[1,1,1] [[5,3,3,2],[2,2,2]]=>[2,2,2] [[5,3,2,2],[2,2,1]]=>[2,2,1] [[6,4,3,2],[3,3,2]]=>[3,3,2] [[5,2,2,2],[2,1,1]]=>[2,1,1] [[6,3,3,2],[3,2,2]]=>[3,2,2] [[6,3,2,2],[3,2,1]]=>[3,2,1] [[7,4,3,2],[4,3,2]]=>[4,3,2] [[3,1,1,1,1],[]]=>[] [[4,2,2,2,1],[1,1,1,1]]=>[1,1,1,1] [[4,2,2,1,1],[1,1,1]]=>[1,1,1] [[5,3,3,2,1],[2,2,2,1]]=>[2,2,2,1] [[4,2,1,1,1],[1,1]]=>[1,1] [[5,3,2,2,1],[2,2,1,1]]=>[2,2,1,1] [[5,3,2,1,1],[2,2,1]]=>[2,2,1] [[6,4,3,2,1],[3,3,2,1]]=>[3,3,2,1] [[4,1,1,1,1],[1]]=>[1] [[5,2,2,2,1],[2,1,1,1]]=>[2,1,1,1] [[5,2,2,1,1],[2,1,1]]=>[2,1,1] [[6,3,3,2,1],[3,2,2,1]]=>[3,2,2,1] [[5,2,1,1,1],[2,1]]=>[2,1] [[6,3,2,2,1],[3,2,1,1]]=>[3,2,1,1] [[6,3,2,1,1],[3,2,1]]=>[3,2,1] [[7,4,3,2,1],[4,3,2,1]]=>[4,3,2,1] [[5,5],[3]]=>[3] [[6,5],[4]]=>[4] [[7,5],[5]]=>[5] [[4,4,1],[2]]=>[2] [[5,5,1],[3,1]]=>[3,1] [[5,4,1],[3]]=>[3] [[6,5,1],[4,1]]=>[4,1] [[6,4,1],[4]]=>[4] [[7,5,1],[5,1]]=>[5,1] [[3,3,2],[1]]=>[1] [[4,4,2],[2,1]]=>[2,1] [[5,5,2],[3,2]]=>[3,2] [[4,3,2],[2]]=>[2] [[5,4,2],[3,1]]=>[3,1] [[6,5,2],[4,2]]=>[4,2] [[5,3,2],[3]]=>[3] [[6,4,2],[4,1]]=>[4,1] [[7,5,2],[5,2]]=>[5,2] [[3,3,1,1],[1]]=>[1] [[4,4,2,1],[2,1,1]]=>[2,1,1] [[4,4,1,1],[2,1]]=>[2,1] [[5,5,2,1],[3,2,1]]=>[3,2,1] [[4,3,1,1],[2]]=>[2] [[5,4,2,1],[3,1,1]]=>[3,1,1] [[5,4,1,1],[3,1]]=>[3,1] [[6,5,2,1],[4,2,1]]=>[4,2,1] [[5,3,1,1],[3]]=>[3] [[6,4,2,1],[4,1,1]]=>[4,1,1] [[6,4,1,1],[4,1]]=>[4,1] [[7,5,2,1],[5,2,1]]=>[5,2,1] [[3,3,3],[1,1]]=>[1,1] [[4,4,3],[2,2]]=>[2,2] [[5,5,3],[3,3]]=>[3,3] [[4,3,3],[2,1]]=>[2,1] [[5,4,3],[3,2]]=>[3,2] [[6,5,3],[4,3]]=>[4,3] [[5,3,3],[3,1]]=>[3,1] [[6,4,3],[4,2]]=>[4,2] [[7,5,3],[5,3]]=>[5,3] [[2,2,2,1],[]]=>[] [[3,3,3,1],[1,1,1]]=>[1,1,1] [[3,3,2,1],[1,1]]=>[1,1] [[4,4,3,1],[2,2,1]]=>[2,2,1] [[4,4,2,1],[2,2]]=>[2,2] [[5,5,3,1],[3,3,1]]=>[3,3,1] [[3,2,2,1],[1]]=>[1] [[4,3,3,1],[2,1,1]]=>[2,1,1] [[4,3,2,1],[2,1]]=>[2,1] [[5,4,3,1],[3,2,1]]=>[3,2,1] [[5,4,2,1],[3,2]]=>[3,2] [[6,5,3,1],[4,3,1]]=>[4,3,1] [[4,2,2,1],[2]]=>[2] [[5,3,3,1],[3,1,1]]=>[3,1,1] [[5,3,2,1],[3,1]]=>[3,1] [[6,4,3,1],[4,2,1]]=>[4,2,1] [[6,4,2,1],[4,2]]=>[4,2] [[7,5,3,1],[5,3,1]]=>[5,3,1] [[3,3,2,2],[1,1,1]]=>[1,1,1] [[4,4,3,2],[2,2,2]]=>[2,2,2] [[4,4,2,2],[2,2,1]]=>[2,2,1] [[5,5,3,2],[3,3,2]]=>[3,3,2] [[4,3,2,2],[2,1,1]]=>[2,1,1] [[5,4,3,2],[3,2,2]]=>[3,2,2] [[5,4,2,2],[3,2,1]]=>[3,2,1] [[6,5,3,2],[4,3,2]]=>[4,3,2] [[5,3,2,2],[3,1,1]]=>[3,1,1] [[6,4,3,2],[4,2,2]]=>[4,2,2] [[6,4,2,2],[4,2,1]]=>[4,2,1] [[7,5,3,2],[5,3,2]]=>[5,3,2] [[2,2,1,1,1],[]]=>[] [[3,3,2,2,1],[1,1,1,1]]=>[1,1,1,1] [[3,3,2,1,1],[1,1,1]]=>[1,1,1] [[4,4,3,2,1],[2,2,2,1]]=>[2,2,2,1] [[3,3,1,1,1],[1,1]]=>[1,1] [[4,4,2,2,1],[2,2,1,1]]=>[2,2,1,1] [[4,4,2,1,1],[2,2,1]]=>[2,2,1] [[5,5,3,2,1],[3,3,2,1]]=>[3,3,2,1] [[3,2,1,1,1],[1]]=>[1] [[4,3,2,2,1],[2,1,1,1]]=>[2,1,1,1] [[4,3,2,1,1],[2,1,1]]=>[2,1,1] [[5,4,3,2,1],[3,2,2,1]]=>[3,2,2,1] [[4,3,1,1,1],[2,1]]=>[2,1] [[5,4,2,2,1],[3,2,1,1]]=>[3,2,1,1] [[5,4,2,1,1],[3,2,1]]=>[3,2,1] [[6,5,3,2,1],[4,3,2,1]]=>[4,3,2,1] [[4,2,1,1,1],[2]]=>[2] [[5,3,2,2,1],[3,1,1,1]]=>[3,1,1,1] [[5,3,2,1,1],[3,1,1]]=>[3,1,1] [[6,4,3,2,1],[4,2,2,1]]=>[4,2,2,1] [[5,3,1,1,1],[3,1]]=>[3,1] [[6,4,2,2,1],[4,2,1,1]]=>[4,2,1,1] [[6,4,2,1,1],[4,2,1]]=>[4,2,1] [[7,5,3,2,1],[5,3,2,1]]=>[5,3,2,1] [[5,4,4],[3,3]]=>[3,3] [[6,5,4],[4,4]]=>[4,4] [[6,4,4],[4,3]]=>[4,3] [[7,5,4],[5,4]]=>[5,4] [[4,3,3,1],[2,2]]=>[2,2] [[5,4,4,1],[3,3,1]]=>[3,3,1] [[5,4,3,1],[3,3]]=>[3,3] [[6,5,4,1],[4,4,1]]=>[4,4,1] [[5,3,3,1],[3,2]]=>[3,2] [[6,4,4,1],[4,3,1]]=>[4,3,1] [[6,4,3,1],[4,3]]=>[4,3] [[7,5,4,1],[5,4,1]]=>[5,4,1] [[3,2,2,2],[1,1]]=>[1,1] [[4,3,3,2],[2,2,1]]=>[2,2,1] [[5,4,4,2],[3,3,2]]=>[3,3,2] [[4,3,2,2],[2,2]]=>[2,2] [[5,4,3,2],[3,3,1]]=>[3,3,1] [[6,5,4,2],[4,4,2]]=>[4,4,2] [[4,2,2,2],[2,1]]=>[2,1] [[5,3,3,2],[3,2,1]]=>[3,2,1] [[6,4,4,2],[4,3,2]]=>[4,3,2] [[5,3,2,2],[3,2]]=>[3,2] [[6,4,3,2],[4,3,1]]=>[4,3,1] [[7,5,4,2],[5,4,2]]=>[5,4,2] [[3,2,2,1,1],[1,1]]=>[1,1] [[4,3,3,2,1],[2,2,1,1]]=>[2,2,1,1] [[4,3,3,1,1],[2,2,1]]=>[2,2,1] [[5,4,4,2,1],[3,3,2,1]]=>[3,3,2,1] [[4,3,2,1,1],[2,2]]=>[2,2] [[5,4,3,2,1],[3,3,1,1]]=>[3,3,1,1] [[5,4,3,1,1],[3,3,1]]=>[3,3,1] [[6,5,4,2,1],[4,4,2,1]]=>[4,4,2,1] [[4,2,2,1,1],[2,1]]=>[2,1] [[5,3,3,2,1],[3,2,1,1]]=>[3,2,1,1] [[5,3,3,1,1],[3,2,1]]=>[3,2,1] [[6,4,4,2,1],[4,3,2,1]]=>[4,3,2,1] [[5,3,2,1,1],[3,2]]=>[3,2] [[6,4,3,2,1],[4,3,1,1]]=>[4,3,1,1] [[6,4,3,1,1],[4,3,1]]=>[4,3,1] [[7,5,4,2,1],[5,4,2,1]]=>[5,4,2,1] [[4,3,3,3],[2,2,2]]=>[2,2,2] [[5,4,4,3],[3,3,3]]=>[3,3,3] [[5,4,3,3],[3,3,2]]=>[3,3,2] [[6,5,4,3],[4,4,3]]=>[4,4,3] [[5,3,3,3],[3,2,2]]=>[3,2,2] [[6,4,4,3],[4,3,3]]=>[4,3,3] [[6,4,3,3],[4,3,2]]=>[4,3,2] [[7,5,4,3],[5,4,3]]=>[5,4,3] [[3,2,2,2,1],[1,1,1]]=>[1,1,1] [[4,3,3,3,1],[2,2,2,1]]=>[2,2,2,1] [[4,3,3,2,1],[2,2,2]]=>[2,2,2] [[5,4,4,3,1],[3,3,3,1]]=>[3,3,3,1] [[4,3,2,2,1],[2,2,1]]=>[2,2,1] [[5,4,3,3,1],[3,3,2,1]]=>[3,3,2,1] [[5,4,3,2,1],[3,3,2]]=>[3,3,2] [[6,5,4,3,1],[4,4,3,1]]=>[4,4,3,1] [[4,2,2,2,1],[2,1,1]]=>[2,1,1] [[5,3,3,3,1],[3,2,2,1]]=>[3,2,2,1] [[5,3,3,2,1],[3,2,2]]=>[3,2,2] [[6,4,4,3,1],[4,3,3,1]]=>[4,3,3,1] [[5,3,2,2,1],[3,2,1]]=>[3,2,1] [[6,4,3,3,1],[4,3,2,1]]=>[4,3,2,1] [[6,4,3,2,1],[4,3,2]]=>[4,3,2] [[7,5,4,3,1],[5,4,3,1]]=>[5,4,3,1] [[3,2,2,2,2],[1,1,1,1]]=>[1,1,1,1] [[4,3,3,3,2],[2,2,2,2]]=>[2,2,2,2] [[4,3,3,2,2],[2,2,2,1]]=>[2,2,2,1] [[5,4,4,3,2],[3,3,3,2]]=>[3,3,3,2] [[4,3,2,2,2],[2,2,1,1]]=>[2,2,1,1] [[5,4,3,3,2],[3,3,2,2]]=>[3,3,2,2] [[5,4,3,2,2],[3,3,2,1]]=>[3,3,2,1] [[6,5,4,3,2],[4,4,3,2]]=>[4,4,3,2] [[4,2,2,2,2],[2,1,1,1]]=>[2,1,1,1] [[5,3,3,3,2],[3,2,2,2]]=>[3,2,2,2] [[5,3,3,2,2],[3,2,2,1]]=>[3,2,2,1] [[6,4,4,3,2],[4,3,3,2]]=>[4,3,3,2] [[5,3,2,2,2],[3,2,1,1]]=>[3,2,1,1] [[6,4,3,3,2],[4,3,2,2]]=>[4,3,2,2] [[6,4,3,2,2],[4,3,2,1]]=>[4,3,2,1] [[7,5,4,3,2],[5,4,3,2]]=>[5,4,3,2] [[2,1,1,1,1,1],[]]=>[] [[3,2,2,2,2,1],[1,1,1,1,1]]=>[1,1,1,1,1] [[3,2,2,2,1,1],[1,1,1,1]]=>[1,1,1,1] [[4,3,3,3,2,1],[2,2,2,2,1]]=>[2,2,2,2,1] [[3,2,2,1,1,1],[1,1,1]]=>[1,1,1] [[4,3,3,2,2,1],[2,2,2,1,1]]=>[2,2,2,1,1] [[4,3,3,2,1,1],[2,2,2,1]]=>[2,2,2,1] [[5,4,4,3,2,1],[3,3,3,2,1]]=>[3,3,3,2,1] [[3,2,1,1,1,1],[1,1]]=>[1,1] [[4,3,2,2,2,1],[2,2,1,1,1]]=>[2,2,1,1,1] [[4,3,2,2,1,1],[2,2,1,1]]=>[2,2,1,1] [[5,4,3,3,2,1],[3,3,2,2,1]]=>[3,3,2,2,1] [[4,3,2,1,1,1],[2,2,1]]=>[2,2,1] [[5,4,3,2,2,1],[3,3,2,1,1]]=>[3,3,2,1,1] [[5,4,3,2,1,1],[3,3,2,1]]=>[3,3,2,1] [[6,5,4,3,2,1],[4,4,3,2,1]]=>[4,4,3,2,1] [[3,1,1,1,1,1],[1]]=>[1] [[4,2,2,2,2,1],[2,1,1,1,1]]=>[2,1,1,1,1] [[4,2,2,2,1,1],[2,1,1,1]]=>[2,1,1,1] [[5,3,3,3,2,1],[3,2,2,2,1]]=>[3,2,2,2,1] [[4,2,2,1,1,1],[2,1,1]]=>[2,1,1] [[5,3,3,2,2,1],[3,2,2,1,1]]=>[3,2,2,1,1] [[5,3,3,2,1,1],[3,2,2,1]]=>[3,2,2,1] [[6,4,4,3,2,1],[4,3,3,2,1]]=>[4,3,3,2,1] [[4,2,1,1,1,1],[2,1]]=>[2,1] [[5,3,2,2,2,1],[3,2,1,1,1]]=>[3,2,1,1,1] [[5,3,2,2,1,1],[3,2,1,1]]=>[3,2,1,1] [[6,4,3,3,2,1],[4,3,2,2,1]]=>[4,3,2,2,1] [[5,3,2,1,1,1],[3,2,1]]=>[3,2,1] [[6,4,3,2,2,1],[4,3,2,1,1]]=>[4,3,2,1,1] [[6,4,3,2,1,1],[4,3,2,1]]=>[4,3,2,1] [[7,5,4,3,2,1],[5,4,3,2,1]]=>[5,4,3,2,1] [[6,6],[5]]=>[5] [[7,6],[6]]=>[6] [[5,5,1],[4]]=>[4] [[6,6,1],[5,1]]=>[5,1] [[6,5,1],[5]]=>[5] [[7,6,1],[6,1]]=>[6,1] [[4,4,2],[3]]=>[3] [[5,5,2],[4,1]]=>[4,1] [[6,6,2],[5,2]]=>[5,2] [[5,4,2],[4]]=>[4] [[6,5,2],[5,1]]=>[5,1] [[7,6,2],[6,2]]=>[6,2] [[4,4,1,1],[3]]=>[3] [[5,5,2,1],[4,1,1]]=>[4,1,1] [[5,5,1,1],[4,1]]=>[4,1] [[6,6,2,1],[5,2,1]]=>[5,2,1] [[5,4,1,1],[4]]=>[4] [[6,5,2,1],[5,1,1]]=>[5,1,1] [[6,5,1,1],[5,1]]=>[5,1] [[7,6,2,1],[6,2,1]]=>[6,2,1] [[3,3,3],[2]]=>[2] [[4,4,3],[3,1]]=>[3,1] [[5,5,3],[4,2]]=>[4,2] [[6,6,3],[5,3]]=>[5,3] [[4,3,3],[3]]=>[3] [[5,4,3],[4,1]]=>[4,1] [[6,5,3],[5,2]]=>[5,2] [[7,6,3],[6,3]]=>[6,3] [[3,3,2,1],[2]]=>[2] [[4,4,3,1],[3,1,1]]=>[3,1,1] [[4,4,2,1],[3,1]]=>[3,1] [[5,5,3,1],[4,2,1]]=>[4,2,1] [[5,5,2,1],[4,2]]=>[4,2] [[6,6,3,1],[5,3,1]]=>[5,3,1] [[4,3,2,1],[3]]=>[3] [[5,4,3,1],[4,1,1]]=>[4,1,1] [[5,4,2,1],[4,1]]=>[4,1] [[6,5,3,1],[5,2,1]]=>[5,2,1] [[6,5,2,1],[5,2]]=>[5,2] [[7,6,3,1],[6,3,1]]=>[6,3,1] [[4,4,2,2],[3,1,1]]=>[3,1,1] [[5,5,3,2],[4,2,2]]=>[4,2,2] [[5,5,2,2],[4,2,1]]=>[4,2,1] [[6,6,3,2],[5,3,2]]=>[5,3,2] [[5,4,2,2],[4,1,1]]=>[4,1,1] [[6,5,3,2],[5,2,2]]=>[5,2,2] [[6,5,2,2],[5,2,1]]=>[5,2,1] [[7,6,3,2],[6,3,2]]=>[6,3,2] [[3,3,1,1,1],[2]]=>[2] [[4,4,2,2,1],[3,1,1,1]]=>[3,1,1,1] [[4,4,2,1,1],[3,1,1]]=>[3,1,1] [[5,5,3,2,1],[4,2,2,1]]=>[4,2,2,1] [[4,4,1,1,1],[3,1]]=>[3,1] [[5,5,2,2,1],[4,2,1,1]]=>[4,2,1,1] [[5,5,2,1,1],[4,2,1]]=>[4,2,1] [[6,6,3,2,1],[5,3,2,1]]=>[5,3,2,1] [[4,3,1,1,1],[3]]=>[3] [[5,4,2,2,1],[4,1,1,1]]=>[4,1,1,1] [[5,4,2,1,1],[4,1,1]]=>[4,1,1] [[6,5,3,2,1],[5,2,2,1]]=>[5,2,2,1] [[5,4,1,1,1],[4,1]]=>[4,1] [[6,5,2,2,1],[5,2,1,1]]=>[5,2,1,1] [[6,5,2,1,1],[5,2,1]]=>[5,2,1] [[7,6,3,2,1],[6,3,2,1]]=>[6,3,2,1] [[4,4,4],[3,2]]=>[3,2] [[5,5,4],[4,3]]=>[4,3] [[6,6,4],[5,4]]=>[5,4] [[5,4,4],[4,2]]=>[4,2] [[6,5,4],[5,3]]=>[5,3] [[7,6,4],[6,4]]=>[6,4] [[3,3,3,1],[2,1]]=>[2,1] [[4,4,4,1],[3,2,1]]=>[3,2,1] [[4,4,3,1],[3,2]]=>[3,2] [[5,5,4,1],[4,3,1]]=>[4,3,1] [[5,5,3,1],[4,3]]=>[4,3] [[6,6,4,1],[5,4,1]]=>[5,4,1] [[4,3,3,1],[3,1]]=>[3,1] [[5,4,4,1],[4,2,1]]=>[4,2,1] [[5,4,3,1],[4,2]]=>[4,2] [[6,5,4,1],[5,3,1]]=>[5,3,1] [[6,5,3,1],[5,3]]=>[5,3] [[7,6,4,1],[6,4,1]]=>[6,4,1] [[2,2,2,2],[1]]=>[1] [[3,3,3,2],[2,1,1]]=>[2,1,1] [[4,4,4,2],[3,2,2]]=>[3,2,2] [[3,3,2,2],[2,1]]=>[2,1] [[4,4,3,2],[3,2,1]]=>[3,2,1] [[5,5,4,2],[4,3,2]]=>[4,3,2] [[4,4,2,2],[3,2]]=>[3,2] [[5,5,3,2],[4,3,1]]=>[4,3,1] [[6,6,4,2],[5,4,2]]=>[5,4,2] [[3,2,2,2],[2]]=>[2] [[4,3,3,2],[3,1,1]]=>[3,1,1] [[5,4,4,2],[4,2,2]]=>[4,2,2] [[4,3,2,2],[3,1]]=>[3,1] [[5,4,3,2],[4,2,1]]=>[4,2,1] [[6,5,4,2],[5,3,2]]=>[5,3,2] [[5,4,2,2],[4,2]]=>[4,2] [[6,5,3,2],[5,3,1]]=>[5,3,1] [[7,6,4,2],[6,4,2]]=>[6,4,2] [[2,2,2,1,1],[1]]=>[1] [[3,3,3,2,1],[2,1,1,1]]=>[2,1,1,1] [[3,3,3,1,1],[2,1,1]]=>[2,1,1] [[4,4,4,2,1],[3,2,2,1]]=>[3,2,2,1] [[3,3,2,1,1],[2,1]]=>[2,1] [[4,4,3,2,1],[3,2,1,1]]=>[3,2,1,1] [[4,4,3,1,1],[3,2,1]]=>[3,2,1] [[5,5,4,2,1],[4,3,2,1]]=>[4,3,2,1] [[4,4,2,1,1],[3,2]]=>[3,2] [[5,5,3,2,1],[4,3,1,1]]=>[4,3,1,1] [[5,5,3,1,1],[4,3,1]]=>[4,3,1] [[6,6,4,2,1],[5,4,2,1]]=>[5,4,2,1] [[3,2,2,1,1],[2]]=>[2] [[4,3,3,2,1],[3,1,1,1]]=>[3,1,1,1] [[4,3,3,1,1],[3,1,1]]=>[3,1,1] [[5,4,4,2,1],[4,2,2,1]]=>[4,2,2,1] [[4,3,2,1,1],[3,1]]=>[3,1] [[5,4,3,2,1],[4,2,1,1]]=>[4,2,1,1] [[5,4,3,1,1],[4,2,1]]=>[4,2,1] [[6,5,4,2,1],[5,3,2,1]]=>[5,3,2,1] [[5,4,2,1,1],[4,2]]=>[4,2] [[6,5,3,2,1],[5,3,1,1]]=>[5,3,1,1] [[6,5,3,1,1],[5,3,1]]=>[5,3,1] [[7,6,4,2,1],[6,4,2,1]]=>[6,4,2,1] [[4,4,3,3],[3,2,2]]=>[3,2,2] [[5,5,4,3],[4,3,3]]=>[4,3,3] [[5,5,3,3],[4,3,2]]=>[4,3,2] [[6,6,4,3],[5,4,3]]=>[5,4,3] [[5,4,3,3],[4,2,2]]=>[4,2,2] [[6,5,4,3],[5,3,3]]=>[5,3,3] [[6,5,3,3],[5,3,2]]=>[5,3,2] [[7,6,4,3],[6,4,3]]=>[6,4,3] [[3,3,2,2,1],[2,1,1]]=>[2,1,1] [[4,4,3,3,1],[3,2,2,1]]=>[3,2,2,1] [[4,4,3,2,1],[3,2,2]]=>[3,2,2] [[5,5,4,3,1],[4,3,3,1]]=>[4,3,3,1] [[4,4,2,2,1],[3,2,1]]=>[3,2,1] [[5,5,3,3,1],[4,3,2,1]]=>[4,3,2,1] [[5,5,3,2,1],[4,3,2]]=>[4,3,2] [[6,6,4,3,1],[5,4,3,1]]=>[5,4,3,1] [[4,3,2,2,1],[3,1,1]]=>[3,1,1] [[5,4,3,3,1],[4,2,2,1]]=>[4,2,2,1] [[5,4,3,2,1],[4,2,2]]=>[4,2,2] [[6,5,4,3,1],[5,3,3,1]]=>[5,3,3,1] [[5,4,2,2,1],[4,2,1]]=>[4,2,1] [[6,5,3,3,1],[5,3,2,1]]=>[5,3,2,1] [[6,5,3,2,1],[5,3,2]]=>[5,3,2] [[7,6,4,3,1],[6,4,3,1]]=>[6,4,3,1] [[3,3,2,2,2],[2,1,1,1]]=>[2,1,1,1] [[4,4,3,3,2],[3,2,2,2]]=>[3,2,2,2] [[4,4,3,2,2],[3,2,2,1]]=>[3,2,2,1] [[5,5,4,3,2],[4,3,3,2]]=>[4,3,3,2] [[4,4,2,2,2],[3,2,1,1]]=>[3,2,1,1] [[5,5,3,3,2],[4,3,2,2]]=>[4,3,2,2] [[5,5,3,2,2],[4,3,2,1]]=>[4,3,2,1] [[6,6,4,3,2],[5,4,3,2]]=>[5,4,3,2] [[4,3,2,2,2],[3,1,1,1]]=>[3,1,1,1] [[5,4,3,3,2],[4,2,2,2]]=>[4,2,2,2] [[5,4,3,2,2],[4,2,2,1]]=>[4,2,2,1] [[6,5,4,3,2],[5,3,3,2]]=>[5,3,3,2] [[5,4,2,2,2],[4,2,1,1]]=>[4,2,1,1] [[6,5,3,3,2],[5,3,2,2]]=>[5,3,2,2] [[6,5,3,2,2],[5,3,2,1]]=>[5,3,2,1] [[7,6,4,3,2],[6,4,3,2]]=>[6,4,3,2] [[2,2,1,1,1,1],[1]]=>[1] [[3,3,2,2,2,1],[2,1,1,1,1]]=>[2,1,1,1,1] [[3,3,2,2,1,1],[2,1,1,1]]=>[2,1,1,1] [[4,4,3,3,2,1],[3,2,2,2,1]]=>[3,2,2,2,1] [[3,3,2,1,1,1],[2,1,1]]=>[2,1,1] [[4,4,3,2,2,1],[3,2,2,1,1]]=>[3,2,2,1,1] [[4,4,3,2,1,1],[3,2,2,1]]=>[3,2,2,1] [[5,5,4,3,2,1],[4,3,3,2,1]]=>[4,3,3,2,1] [[3,3,1,1,1,1],[2,1]]=>[2,1] [[4,4,2,2,2,1],[3,2,1,1,1]]=>[3,2,1,1,1] [[4,4,2,2,1,1],[3,2,1,1]]=>[3,2,1,1] [[5,5,3,3,2,1],[4,3,2,2,1]]=>[4,3,2,2,1] [[4,4,2,1,1,1],[3,2,1]]=>[3,2,1] [[5,5,3,2,2,1],[4,3,2,1,1]]=>[4,3,2,1,1] [[5,5,3,2,1,1],[4,3,2,1]]=>[4,3,2,1] [[6,6,4,3,2,1],[5,4,3,2,1]]=>[5,4,3,2,1] [[3,2,1,1,1,1],[2]]=>[2] [[4,3,2,2,2,1],[3,1,1,1,1]]=>[3,1,1,1,1] [[4,3,2,2,1,1],[3,1,1,1]]=>[3,1,1,1] [[5,4,3,3,2,1],[4,2,2,2,1]]=>[4,2,2,2,1] [[4,3,2,1,1,1],[3,1,1]]=>[3,1,1] [[5,4,3,2,2,1],[4,2,2,1,1]]=>[4,2,2,1,1] [[5,4,3,2,1,1],[4,2,2,1]]=>[4,2,2,1] [[6,5,4,3,2,1],[5,3,3,2,1]]=>[5,3,3,2,1] [[4,3,1,1,1,1],[3,1]]=>[3,1] [[5,4,2,2,2,1],[4,2,1,1,1]]=>[4,2,1,1,1] [[5,4,2,2,1,1],[4,2,1,1]]=>[4,2,1,1] [[6,5,3,3,2,1],[5,3,2,2,1]]=>[5,3,2,2,1] [[5,4,2,1,1,1],[4,2,1]]=>[4,2,1] [[6,5,3,2,2,1],[5,3,2,1,1]]=>[5,3,2,1,1] [[6,5,3,2,1,1],[5,3,2,1]]=>[5,3,2,1] [[7,6,4,3,2,1],[6,4,3,2,1]]=>[6,4,3,2,1] [[5,5,5],[4,4]]=>[4,4] [[6,6,5],[5,5]]=>[5,5] [[6,5,5],[5,4]]=>[5,4] [[7,6,5],[6,5]]=>[6,5] [[4,4,4,1],[3,3]]=>[3,3] [[5,5,5,1],[4,4,1]]=>[4,4,1] [[5,5,4,1],[4,4]]=>[4,4] [[6,6,5,1],[5,5,1]]=>[5,5,1] [[5,4,4,1],[4,3]]=>[4,3] [[6,5,5,1],[5,4,1]]=>[5,4,1] [[6,5,4,1],[5,4]]=>[5,4] [[7,6,5,1],[6,5,1]]=>[6,5,1] [[3,3,3,2],[2,2]]=>[2,2] [[4,4,4,2],[3,3,1]]=>[3,3,1] [[5,5,5,2],[4,4,2]]=>[4,4,2] [[4,4,3,2],[3,3]]=>[3,3] [[5,5,4,2],[4,4,1]]=>[4,4,1] [[6,6,5,2],[5,5,2]]=>[5,5,2] [[4,3,3,2],[3,2]]=>[3,2] [[5,4,4,2],[4,3,1]]=>[4,3,1] [[6,5,5,2],[5,4,2]]=>[5,4,2] [[5,4,3,2],[4,3]]=>[4,3] [[6,5,4,2],[5,4,1]]=>[5,4,1] [[7,6,5,2],[6,5,2]]=>[6,5,2] [[3,3,3,1,1],[2,2]]=>[2,2] [[4,4,4,2,1],[3,3,1,1]]=>[3,3,1,1] [[4,4,4,1,1],[3,3,1]]=>[3,3,1] [[5,5,5,2,1],[4,4,2,1]]=>[4,4,2,1] [[4,4,3,1,1],[3,3]]=>[3,3] [[5,5,4,2,1],[4,4,1,1]]=>[4,4,1,1] [[5,5,4,1,1],[4,4,1]]=>[4,4,1] [[6,6,5,2,1],[5,5,2,1]]=>[5,5,2,1] [[4,3,3,1,1],[3,2]]=>[3,2] [[5,4,4,2,1],[4,3,1,1]]=>[4,3,1,1] [[5,4,4,1,1],[4,3,1]]=>[4,3,1] [[6,5,5,2,1],[5,4,2,1]]=>[5,4,2,1] [[5,4,3,1,1],[4,3]]=>[4,3] [[6,5,4,2,1],[5,4,1,1]]=>[5,4,1,1] [[6,5,4,1,1],[5,4,1]]=>[5,4,1] [[7,6,5,2,1],[6,5,2,1]]=>[6,5,2,1] [[3,3,3,3],[2,2,1]]=>[2,2,1] [[4,4,4,3],[3,3,2]]=>[3,3,2] [[5,5,5,3],[4,4,3]]=>[4,4,3] [[4,4,3,3],[3,3,1]]=>[3,3,1] [[5,5,4,3],[4,4,2]]=>[4,4,2] [[6,6,5,3],[5,5,3]]=>[5,5,3] [[4,3,3,3],[3,2,1]]=>[3,2,1] [[5,4,4,3],[4,3,2]]=>[4,3,2] [[6,5,5,3],[5,4,3]]=>[5,4,3] [[5,4,3,3],[4,3,1]]=>[4,3,1] [[6,5,4,3],[5,4,2]]=>[5,4,2] [[7,6,5,3],[6,5,3]]=>[6,5,3] [[2,2,2,2,1],[1,1]]=>[1,1] [[3,3,3,3,1],[2,2,1,1]]=>[2,2,1,1] [[3,3,3,2,1],[2,2,1]]=>[2,2,1] [[4,4,4,3,1],[3,3,2,1]]=>[3,3,2,1] [[4,4,4,2,1],[3,3,2]]=>[3,3,2] [[5,5,5,3,1],[4,4,3,1]]=>[4,4,3,1] [[3,3,2,2,1],[2,2]]=>[2,2] [[4,4,3,3,1],[3,3,1,1]]=>[3,3,1,1] [[4,4,3,2,1],[3,3,1]]=>[3,3,1] [[5,5,4,3,1],[4,4,2,1]]=>[4,4,2,1] [[5,5,4,2,1],[4,4,2]]=>[4,4,2] [[6,6,5,3,1],[5,5,3,1]]=>[5,5,3,1] [[3,2,2,2,1],[2,1]]=>[2,1] [[4,3,3,3,1],[3,2,1,1]]=>[3,2,1,1] [[4,3,3,2,1],[3,2,1]]=>[3,2,1] [[5,4,4,3,1],[4,3,2,1]]=>[4,3,2,1] [[5,4,4,2,1],[4,3,2]]=>[4,3,2] [[6,5,5,3,1],[5,4,3,1]]=>[5,4,3,1] [[4,3,2,2,1],[3,2]]=>[3,2] [[5,4,3,3,1],[4,3,1,1]]=>[4,3,1,1] [[5,4,3,2,1],[4,3,1]]=>[4,3,1] [[6,5,4,3,1],[5,4,2,1]]=>[5,4,2,1] [[6,5,4,2,1],[5,4,2]]=>[5,4,2] [[7,6,5,3,1],[6,5,3,1]]=>[6,5,3,1] [[3,3,3,2,2],[2,2,1,1]]=>[2,2,1,1] [[4,4,4,3,2],[3,3,2,2]]=>[3,3,2,2] [[4,4,4,2,2],[3,3,2,1]]=>[3,3,2,1] [[5,5,5,3,2],[4,4,3,2]]=>[4,4,3,2] [[4,4,3,2,2],[3,3,1,1]]=>[3,3,1,1] [[5,5,4,3,2],[4,4,2,2]]=>[4,4,2,2] [[5,5,4,2,2],[4,4,2,1]]=>[4,4,2,1] [[6,6,5,3,2],[5,5,3,2]]=>[5,5,3,2] [[4,3,3,2,2],[3,2,1,1]]=>[3,2,1,1] [[5,4,4,3,2],[4,3,2,2]]=>[4,3,2,2] [[5,4,4,2,2],[4,3,2,1]]=>[4,3,2,1] [[6,5,5,3,2],[5,4,3,2]]=>[5,4,3,2] [[5,4,3,2,2],[4,3,1,1]]=>[4,3,1,1] [[6,5,4,3,2],[5,4,2,2]]=>[5,4,2,2] [[6,5,4,2,2],[5,4,2,1]]=>[5,4,2,1] [[7,6,5,3,2],[6,5,3,2]]=>[6,5,3,2] [[2,2,2,1,1,1],[1,1]]=>[1,1] [[3,3,3,2,2,1],[2,2,1,1,1]]=>[2,2,1,1,1] [[3,3,3,2,1,1],[2,2,1,1]]=>[2,2,1,1] [[4,4,4,3,2,1],[3,3,2,2,1]]=>[3,3,2,2,1] [[3,3,3,1,1,1],[2,2,1]]=>[2,2,1] [[4,4,4,2,2,1],[3,3,2,1,1]]=>[3,3,2,1,1] [[4,4,4,2,1,1],[3,3,2,1]]=>[3,3,2,1] [[5,5,5,3,2,1],[4,4,3,2,1]]=>[4,4,3,2,1] [[3,3,2,1,1,1],[2,2]]=>[2,2] [[4,4,3,2,2,1],[3,3,1,1,1]]=>[3,3,1,1,1] [[4,4,3,2,1,1],[3,3,1,1]]=>[3,3,1,1] [[5,5,4,3,2,1],[4,4,2,2,1]]=>[4,4,2,2,1] [[4,4,3,1,1,1],[3,3,1]]=>[3,3,1] [[5,5,4,2,2,1],[4,4,2,1,1]]=>[4,4,2,1,1] [[5,5,4,2,1,1],[4,4,2,1]]=>[4,4,2,1] [[6,6,5,3,2,1],[5,5,3,2,1]]=>[5,5,3,2,1] [[3,2,2,1,1,1],[2,1]]=>[2,1] [[4,3,3,2,2,1],[3,2,1,1,1]]=>[3,2,1,1,1] [[4,3,3,2,1,1],[3,2,1,1]]=>[3,2,1,1] [[5,4,4,3,2,1],[4,3,2,2,1]]=>[4,3,2,2,1] [[4,3,3,1,1,1],[3,2,1]]=>[3,2,1] [[5,4,4,2,2,1],[4,3,2,1,1]]=>[4,3,2,1,1] [[5,4,4,2,1,1],[4,3,2,1]]=>[4,3,2,1] [[6,5,5,3,2,1],[5,4,3,2,1]]=>[5,4,3,2,1] [[4,3,2,1,1,1],[3,2]]=>[3,2] [[5,4,3,2,2,1],[4,3,1,1,1]]=>[4,3,1,1,1] [[5,4,3,2,1,1],[4,3,1,1]]=>[4,3,1,1] [[6,5,4,3,2,1],[5,4,2,2,1]]=>[5,4,2,2,1] [[5,4,3,1,1,1],[4,3,1]]=>[4,3,1] [[6,5,4,2,2,1],[5,4,2,1,1]]=>[5,4,2,1,1] [[6,5,4,2,1,1],[5,4,2,1]]=>[5,4,2,1] [[7,6,5,3,2,1],[6,5,3,2,1]]=>[6,5,3,2,1] [[4,4,4,4],[3,3,3]]=>[3,3,3] [[5,5,5,4],[4,4,4]]=>[4,4,4] [[5,5,4,4],[4,4,3]]=>[4,4,3] [[6,6,5,4],[5,5,4]]=>[5,5,4] [[5,4,4,4],[4,3,3]]=>[4,3,3] [[6,5,5,4],[5,4,4]]=>[5,4,4] [[6,5,4,4],[5,4,3]]=>[5,4,3] [[7,6,5,4],[6,5,4]]=>[6,5,4] [[3,3,3,3,1],[2,2,2]]=>[2,2,2] [[4,4,4,4,1],[3,3,3,1]]=>[3,3,3,1] [[4,4,4,3,1],[3,3,3]]=>[3,3,3] [[5,5,5,4,1],[4,4,4,1]]=>[4,4,4,1] [[4,4,3,3,1],[3,3,2]]=>[3,3,2] [[5,5,4,4,1],[4,4,3,1]]=>[4,4,3,1] [[5,5,4,3,1],[4,4,3]]=>[4,4,3] [[6,6,5,4,1],[5,5,4,1]]=>[5,5,4,1] [[4,3,3,3,1],[3,2,2]]=>[3,2,2] [[5,4,4,4,1],[4,3,3,1]]=>[4,3,3,1] [[5,4,4,3,1],[4,3,3]]=>[4,3,3] [[6,5,5,4,1],[5,4,4,1]]=>[5,4,4,1] [[5,4,3,3,1],[4,3,2]]=>[4,3,2] [[6,5,4,4,1],[5,4,3,1]]=>[5,4,3,1] [[6,5,4,3,1],[5,4,3]]=>[5,4,3] [[7,6,5,4,1],[6,5,4,1]]=>[6,5,4,1] [[2,2,2,2,2],[1,1,1]]=>[1,1,1] [[3,3,3,3,2],[2,2,2,1]]=>[2,2,2,1] [[4,4,4,4,2],[3,3,3,2]]=>[3,3,3,2] [[3,3,3,2,2],[2,2,2]]=>[2,2,2] [[4,4,4,3,2],[3,3,3,1]]=>[3,3,3,1] [[5,5,5,4,2],[4,4,4,2]]=>[4,4,4,2] [[3,3,2,2,2],[2,2,1]]=>[2,2,1] [[4,4,3,3,2],[3,3,2,1]]=>[3,3,2,1] [[5,5,4,4,2],[4,4,3,2]]=>[4,4,3,2] [[4,4,3,2,2],[3,3,2]]=>[3,3,2] [[5,5,4,3,2],[4,4,3,1]]=>[4,4,3,1] [[6,6,5,4,2],[5,5,4,2]]=>[5,5,4,2] [[3,2,2,2,2],[2,1,1]]=>[2,1,1] [[4,3,3,3,2],[3,2,2,1]]=>[3,2,2,1] [[5,4,4,4,2],[4,3,3,2]]=>[4,3,3,2] [[4,3,3,2,2],[3,2,2]]=>[3,2,2] [[5,4,4,3,2],[4,3,3,1]]=>[4,3,3,1] [[6,5,5,4,2],[5,4,4,2]]=>[5,4,4,2] [[4,3,2,2,2],[3,2,1]]=>[3,2,1] [[5,4,3,3,2],[4,3,2,1]]=>[4,3,2,1] [[6,5,4,4,2],[5,4,3,2]]=>[5,4,3,2] [[5,4,3,2,2],[4,3,2]]=>[4,3,2] [[6,5,4,3,2],[5,4,3,1]]=>[5,4,3,1] [[7,6,5,4,2],[6,5,4,2]]=>[6,5,4,2] [[2,2,2,2,1,1],[1,1,1]]=>[1,1,1] [[3,3,3,3,2,1],[2,2,2,1,1]]=>[2,2,2,1,1] [[3,3,3,3,1,1],[2,2,2,1]]=>[2,2,2,1] [[4,4,4,4,2,1],[3,3,3,2,1]]=>[3,3,3,2,1] [[3,3,3,2,1,1],[2,2,2]]=>[2,2,2] [[4,4,4,3,2,1],[3,3,3,1,1]]=>[3,3,3,1,1] [[4,4,4,3,1,1],[3,3,3,1]]=>[3,3,3,1] [[5,5,5,4,2,1],[4,4,4,2,1]]=>[4,4,4,2,1] [[3,3,2,2,1,1],[2,2,1]]=>[2,2,1] [[4,4,3,3,2,1],[3,3,2,1,1]]=>[3,3,2,1,1] [[4,4,3,3,1,1],[3,3,2,1]]=>[3,3,2,1] [[5,5,4,4,2,1],[4,4,3,2,1]]=>[4,4,3,2,1] [[4,4,3,2,1,1],[3,3,2]]=>[3,3,2] [[5,5,4,3,2,1],[4,4,3,1,1]]=>[4,4,3,1,1] [[5,5,4,3,1,1],[4,4,3,1]]=>[4,4,3,1] [[6,6,5,4,2,1],[5,5,4,2,1]]=>[5,5,4,2,1] [[3,2,2,2,1,1],[2,1,1]]=>[2,1,1] [[4,3,3,3,2,1],[3,2,2,1,1]]=>[3,2,2,1,1] [[4,3,3,3,1,1],[3,2,2,1]]=>[3,2,2,1] [[5,4,4,4,2,1],[4,3,3,2,1]]=>[4,3,3,2,1] [[4,3,3,2,1,1],[3,2,2]]=>[3,2,2] [[5,4,4,3,2,1],[4,3,3,1,1]]=>[4,3,3,1,1] [[5,4,4,3,1,1],[4,3,3,1]]=>[4,3,3,1] [[6,5,5,4,2,1],[5,4,4,2,1]]=>[5,4,4,2,1] [[4,3,2,2,1,1],[3,2,1]]=>[3,2,1] [[5,4,3,3,2,1],[4,3,2,1,1]]=>[4,3,2,1,1] [[5,4,3,3,1,1],[4,3,2,1]]=>[4,3,2,1] [[6,5,4,4,2,1],[5,4,3,2,1]]=>[5,4,3,2,1] [[5,4,3,2,1,1],[4,3,2]]=>[4,3,2] [[6,5,4,3,2,1],[5,4,3,1,1]]=>[5,4,3,1,1] [[6,5,4,3,1,1],[5,4,3,1]]=>[5,4,3,1] [[7,6,5,4,2,1],[6,5,4,2,1]]=>[6,5,4,2,1] [[3,3,3,3,3],[2,2,2,2]]=>[2,2,2,2] [[4,4,4,4,3],[3,3,3,3]]=>[3,3,3,3] [[4,4,4,3,3],[3,3,3,2]]=>[3,3,3,2] [[5,5,5,4,3],[4,4,4,3]]=>[4,4,4,3] [[4,4,3,3,3],[3,3,2,2]]=>[3,3,2,2] [[5,5,4,4,3],[4,4,3,3]]=>[4,4,3,3] [[5,5,4,3,3],[4,4,3,2]]=>[4,4,3,2] [[6,6,5,4,3],[5,5,4,3]]=>[5,5,4,3] [[4,3,3,3,3],[3,2,2,2]]=>[3,2,2,2] [[5,4,4,4,3],[4,3,3,3]]=>[4,3,3,3] [[5,4,4,3,3],[4,3,3,2]]=>[4,3,3,2] [[6,5,5,4,3],[5,4,4,3]]=>[5,4,4,3] [[5,4,3,3,3],[4,3,2,2]]=>[4,3,2,2] [[6,5,4,4,3],[5,4,3,3]]=>[5,4,3,3] [[6,5,4,3,3],[5,4,3,2]]=>[5,4,3,2] [[7,6,5,4,3],[6,5,4,3]]=>[6,5,4,3] [[2,2,2,2,2,1],[1,1,1,1]]=>[1,1,1,1] [[3,3,3,3,3,1],[2,2,2,2,1]]=>[2,2,2,2,1] [[3,3,3,3,2,1],[2,2,2,2]]=>[2,2,2,2] [[4,4,4,4,3,1],[3,3,3,3,1]]=>[3,3,3,3,1] [[3,3,3,2,2,1],[2,2,2,1]]=>[2,2,2,1] [[4,4,4,3,3,1],[3,3,3,2,1]]=>[3,3,3,2,1] [[4,4,4,3,2,1],[3,3,3,2]]=>[3,3,3,2] [[5,5,5,4,3,1],[4,4,4,3,1]]=>[4,4,4,3,1] [[3,3,2,2,2,1],[2,2,1,1]]=>[2,2,1,1] [[4,4,3,3,3,1],[3,3,2,2,1]]=>[3,3,2,2,1] [[4,4,3,3,2,1],[3,3,2,2]]=>[3,3,2,2] [[5,5,4,4,3,1],[4,4,3,3,1]]=>[4,4,3,3,1] [[4,4,3,2,2,1],[3,3,2,1]]=>[3,3,2,1] [[5,5,4,3,3,1],[4,4,3,2,1]]=>[4,4,3,2,1] [[5,5,4,3,2,1],[4,4,3,2]]=>[4,4,3,2] [[6,6,5,4,3,1],[5,5,4,3,1]]=>[5,5,4,3,1] [[3,2,2,2,2,1],[2,1,1,1]]=>[2,1,1,1] [[4,3,3,3,3,1],[3,2,2,2,1]]=>[3,2,2,2,1] [[4,3,3,3,2,1],[3,2,2,2]]=>[3,2,2,2] [[5,4,4,4,3,1],[4,3,3,3,1]]=>[4,3,3,3,1] [[4,3,3,2,2,1],[3,2,2,1]]=>[3,2,2,1] [[5,4,4,3,3,1],[4,3,3,2,1]]=>[4,3,3,2,1] [[5,4,4,3,2,1],[4,3,3,2]]=>[4,3,3,2] [[6,5,5,4,3,1],[5,4,4,3,1]]=>[5,4,4,3,1] [[4,3,2,2,2,1],[3,2,1,1]]=>[3,2,1,1] [[5,4,3,3,3,1],[4,3,2,2,1]]=>[4,3,2,2,1] [[5,4,3,3,2,1],[4,3,2,2]]=>[4,3,2,2] [[6,5,4,4,3,1],[5,4,3,3,1]]=>[5,4,3,3,1] [[5,4,3,2,2,1],[4,3,2,1]]=>[4,3,2,1] [[6,5,4,3,3,1],[5,4,3,2,1]]=>[5,4,3,2,1] [[6,5,4,3,2,1],[5,4,3,2]]=>[5,4,3,2] [[7,6,5,4,3,1],[6,5,4,3,1]]=>[6,5,4,3,1] [[2,2,2,2,2,2],[1,1,1,1,1]]=>[1,1,1,1,1] [[3,3,3,3,3,2],[2,2,2,2,2]]=>[2,2,2,2,2] [[3,3,3,3,2,2],[2,2,2,2,1]]=>[2,2,2,2,1] [[4,4,4,4,3,2],[3,3,3,3,2]]=>[3,3,3,3,2] [[3,3,3,2,2,2],[2,2,2,1,1]]=>[2,2,2,1,1] [[4,4,4,3,3,2],[3,3,3,2,2]]=>[3,3,3,2,2] [[4,4,4,3,2,2],[3,3,3,2,1]]=>[3,3,3,2,1] [[5,5,5,4,3,2],[4,4,4,3,2]]=>[4,4,4,3,2] [[3,3,2,2,2,2],[2,2,1,1,1]]=>[2,2,1,1,1] [[4,4,3,3,3,2],[3,3,2,2,2]]=>[3,3,2,2,2] [[4,4,3,3,2,2],[3,3,2,2,1]]=>[3,3,2,2,1] [[5,5,4,4,3,2],[4,4,3,3,2]]=>[4,4,3,3,2] [[4,4,3,2,2,2],[3,3,2,1,1]]=>[3,3,2,1,1] [[5,5,4,3,3,2],[4,4,3,2,2]]=>[4,4,3,2,2] [[5,5,4,3,2,2],[4,4,3,2,1]]=>[4,4,3,2,1] [[6,6,5,4,3,2],[5,5,4,3,2]]=>[5,5,4,3,2] [[3,2,2,2,2,2],[2,1,1,1,1]]=>[2,1,1,1,1] [[4,3,3,3,3,2],[3,2,2,2,2]]=>[3,2,2,2,2] [[4,3,3,3,2,2],[3,2,2,2,1]]=>[3,2,2,2,1] [[5,4,4,4,3,2],[4,3,3,3,2]]=>[4,3,3,3,2] [[4,3,3,2,2,2],[3,2,2,1,1]]=>[3,2,2,1,1] [[5,4,4,3,3,2],[4,3,3,2,2]]=>[4,3,3,2,2] [[5,4,4,3,2,2],[4,3,3,2,1]]=>[4,3,3,2,1] [[6,5,5,4,3,2],[5,4,4,3,2]]=>[5,4,4,3,2] [[4,3,2,2,2,2],[3,2,1,1,1]]=>[3,2,1,1,1] [[5,4,3,3,3,2],[4,3,2,2,2]]=>[4,3,2,2,2] [[5,4,3,3,2,2],[4,3,2,2,1]]=>[4,3,2,2,1] [[6,5,4,4,3,2],[5,4,3,3,2]]=>[5,4,3,3,2] [[5,4,3,2,2,2],[4,3,2,1,1]]=>[4,3,2,1,1] [[6,5,4,3,3,2],[5,4,3,2,2]]=>[5,4,3,2,2] [[6,5,4,3,2,2],[5,4,3,2,1]]=>[5,4,3,2,1] [[7,6,5,4,3,2],[6,5,4,3,2]]=>[6,5,4,3,2] [[1,1,1,1,1,1,1],[]]=>[] [[2,2,2,2,2,2,1],[1,1,1,1,1,1]]=>[1,1,1,1,1,1] [[2,2,2,2,2,1,1],[1,1,1,1,1]]=>[1,1,1,1,1] [[3,3,3,3,3,2,1],[2,2,2,2,2,1]]=>[2,2,2,2,2,1] [[2,2,2,2,1,1,1],[1,1,1,1]]=>[1,1,1,1] [[3,3,3,3,2,2,1],[2,2,2,2,1,1]]=>[2,2,2,2,1,1] [[3,3,3,3,2,1,1],[2,2,2,2,1]]=>[2,2,2,2,1] [[4,4,4,4,3,2,1],[3,3,3,3,2,1]]=>[3,3,3,3,2,1] [[2,2,2,1,1,1,1],[1,1,1]]=>[1,1,1] [[3,3,3,2,2,2,1],[2,2,2,1,1,1]]=>[2,2,2,1,1,1] [[3,3,3,2,2,1,1],[2,2,2,1,1]]=>[2,2,2,1,1] [[4,4,4,3,3,2,1],[3,3,3,2,2,1]]=>[3,3,3,2,2,1] [[3,3,3,2,1,1,1],[2,2,2,1]]=>[2,2,2,1] [[4,4,4,3,2,2,1],[3,3,3,2,1,1]]=>[3,3,3,2,1,1] [[4,4,4,3,2,1,1],[3,3,3,2,1]]=>[3,3,3,2,1] [[5,5,5,4,3,2,1],[4,4,4,3,2,1]]=>[4,4,4,3,2,1] [[2,2,1,1,1,1,1],[1,1]]=>[1,1] [[3,3,2,2,2,2,1],[2,2,1,1,1,1]]=>[2,2,1,1,1,1] [[3,3,2,2,2,1,1],[2,2,1,1,1]]=>[2,2,1,1,1] [[4,4,3,3,3,2,1],[3,3,2,2,2,1]]=>[3,3,2,2,2,1] [[3,3,2,2,1,1,1],[2,2,1,1]]=>[2,2,1,1] [[4,4,3,3,2,2,1],[3,3,2,2,1,1]]=>[3,3,2,2,1,1] [[4,4,3,3,2,1,1],[3,3,2,2,1]]=>[3,3,2,2,1] [[5,5,4,4,3,2,1],[4,4,3,3,2,1]]=>[4,4,3,3,2,1] [[3,3,2,1,1,1,1],[2,2,1]]=>[2,2,1] [[4,4,3,2,2,2,1],[3,3,2,1,1,1]]=>[3,3,2,1,1,1] [[4,4,3,2,2,1,1],[3,3,2,1,1]]=>[3,3,2,1,1] [[5,5,4,3,3,2,1],[4,4,3,2,2,1]]=>[4,4,3,2,2,1] [[4,4,3,2,1,1,1],[3,3,2,1]]=>[3,3,2,1] [[5,5,4,3,2,2,1],[4,4,3,2,1,1]]=>[4,4,3,2,1,1] [[5,5,4,3,2,1,1],[4,4,3,2,1]]=>[4,4,3,2,1] [[6,6,5,4,3,2,1],[5,5,4,3,2,1]]=>[5,5,4,3,2,1] [[2,1,1,1,1,1,1],[1]]=>[1] [[3,2,2,2,2,2,1],[2,1,1,1,1,1]]=>[2,1,1,1,1,1] [[3,2,2,2,2,1,1],[2,1,1,1,1]]=>[2,1,1,1,1] [[4,3,3,3,3,2,1],[3,2,2,2,2,1]]=>[3,2,2,2,2,1] [[3,2,2,2,1,1,1],[2,1,1,1]]=>[2,1,1,1] [[4,3,3,3,2,2,1],[3,2,2,2,1,1]]=>[3,2,2,2,1,1] [[4,3,3,3,2,1,1],[3,2,2,2,1]]=>[3,2,2,2,1] [[5,4,4,4,3,2,1],[4,3,3,3,2,1]]=>[4,3,3,3,2,1] [[3,2,2,1,1,1,1],[2,1,1]]=>[2,1,1] [[4,3,3,2,2,2,1],[3,2,2,1,1,1]]=>[3,2,2,1,1,1] [[4,3,3,2,2,1,1],[3,2,2,1,1]]=>[3,2,2,1,1] [[5,4,4,3,3,2,1],[4,3,3,2,2,1]]=>[4,3,3,2,2,1] [[4,3,3,2,1,1,1],[3,2,2,1]]=>[3,2,2,1] [[5,4,4,3,2,2,1],[4,3,3,2,1,1]]=>[4,3,3,2,1,1] [[5,4,4,3,2,1,1],[4,3,3,2,1]]=>[4,3,3,2,1] [[6,5,5,4,3,2,1],[5,4,4,3,2,1]]=>[5,4,4,3,2,1] [[3,2,1,1,1,1,1],[2,1]]=>[2,1] [[4,3,2,2,2,2,1],[3,2,1,1,1,1]]=>[3,2,1,1,1,1] [[4,3,2,2,2,1,1],[3,2,1,1,1]]=>[3,2,1,1,1] [[5,4,3,3,3,2,1],[4,3,2,2,2,1]]=>[4,3,2,2,2,1] [[4,3,2,2,1,1,1],[3,2,1,1]]=>[3,2,1,1] [[5,4,3,3,2,2,1],[4,3,2,2,1,1]]=>[4,3,2,2,1,1] [[5,4,3,3,2,1,1],[4,3,2,2,1]]=>[4,3,2,2,1] [[6,5,4,4,3,2,1],[5,4,3,3,2,1]]=>[5,4,3,3,2,1] [[4,3,2,1,1,1,1],[3,2,1]]=>[3,2,1] [[5,4,3,2,2,2,1],[4,3,2,1,1,1]]=>[4,3,2,1,1,1] [[5,4,3,2,2,1,1],[4,3,2,1,1]]=>[4,3,2,1,1] [[6,5,4,3,3,2,1],[5,4,3,2,2,1]]=>[5,4,3,2,2,1] [[5,4,3,2,1,1,1],[4,3,2,1]]=>[4,3,2,1] [[6,5,4,3,2,2,1],[5,4,3,2,1,1]]=>[5,4,3,2,1,1] [[6,5,4,3,2,1,1],[5,4,3,2,1]]=>[5,4,3,2,1] [[7,6,5,4,3,2,1],[6,5,4,3,2,1]]=>[6,5,4,3,2,1] [[8],[]]=>[] [[7,1],[]]=>[] [[6,2],[]]=>[] [[6,1,1],[]]=>[] [[5,3],[]]=>[] [[5,2,1],[]]=>[] [[5,1,1,1],[]]=>[] [[4,4],[]]=>[] [[4,3,1],[]]=>[] [[4,2,2],[]]=>[] [[4,2,1,1],[]]=>[] [[4,1,1,1,1],[]]=>[] [[3,3,2],[]]=>[] [[3,3,1,1],[]]=>[] [[3,2,2,1],[]]=>[] [[3,2,1,1,1],[]]=>[] [[3,1,1,1,1,1],[]]=>[] [[2,2,2,2],[]]=>[] [[2,2,2,1,1],[]]=>[] [[2,2,1,1,1,1],[]]=>[] [[2,1,1,1,1,1,1],[]]=>[] [[1,1,1,1,1,1,1,1],[]]=>[] [[2,2,1,1,1,1,1],[1]]=>[1] [[2,2,2,1,1,1,1],[1,1]]=>[1,1] [[3,2,1,1,1,1],[1]]=>[1] [[2,2,2,2,1,1,1],[1,1,1]]=>[1,1,1] [[3,2,2,1,1,1],[1,1]]=>[1,1] [[3,3,2,1,1,1],[2,1]]=>[2,1] [[4,3,1,1,1],[2]]=>[2] [[2,2,2,2,2,1,1],[1,1,1,1]]=>[1,1,1,1] [[3,2,2,2,1,1],[1,1,1]]=>[1,1,1] [[3,3,2,2,1,1],[2,1,1]]=>[2,1,1] [[3,3,3,2,1,1],[2,2,1]]=>[2,2,1] [[4,3,2,1,1],[2,1]]=>[2,1] [[4,4,2,1,1],[3,1]]=>[3,1] [[4,3,3,1,1],[2,2]]=>[2,2] [[4,4,3,1,1],[3,2]]=>[3,2] [[5,3,1,1],[2]]=>[2] [[2,2,2,2,2,2,1],[1,1,1,1,1]]=>[1,1,1,1,1] [[3,2,2,2,2,1],[1,1,1,1]]=>[1,1,1,1] [[3,3,2,2,2,1],[2,1,1,1]]=>[2,1,1,1] [[3,3,3,2,2,1],[2,2,1,1]]=>[2,2,1,1] [[4,3,2,2,1],[2,1,1]]=>[2,1,1] [[4,4,2,2,1],[3,1,1]]=>[3,1,1] [[3,3,3,3,2,1],[2,2,2,1]]=>[2,2,2,1] [[4,3,3,2,1],[2,2,1]]=>[2,2,1] [[4,4,3,2,1],[3,2,1]]=>[3,2,1] [[5,3,2,1],[2,1]]=>[2,1] [[4,4,4,2,1],[3,3,1]]=>[3,3,1] [[5,4,2,1],[3,1]]=>[3,1] [[4,3,3,3,1],[2,2,2]]=>[2,2,2] [[4,4,3,3,1],[3,2,2]]=>[3,2,2] [[5,3,3,1],[2,2]]=>[2,2] [[4,4,4,3,1],[3,3,2]]=>[3,3,2] [[5,4,3,1],[3,2]]=>[3,2] [[5,5,3,1],[4,2]]=>[4,2] [[4,4,4,4,1],[3,3,3]]=>[3,3,3] [[5,4,4,1],[3,3]]=>[3,3] [[5,5,4,1],[4,3]]=>[4,3] [[6,4,1],[3]]=>[3] [[2,2,2,2,2,2,2],[1,1,1,1,1,1]]=>[1,1,1,1,1,1] [[3,2,2,2,2,2],[1,1,1,1,1]]=>[1,1,1,1,1] [[3,3,2,2,2,2],[2,1,1,1,1]]=>[2,1,1,1,1] [[3,3,3,2,2,2],[2,2,1,1,1]]=>[2,2,1,1,1] [[4,3,2,2,2],[2,1,1,1]]=>[2,1,1,1] [[4,4,2,2,2],[3,1,1,1]]=>[3,1,1,1] [[3,3,3,3,2,2],[2,2,2,1,1]]=>[2,2,2,1,1] [[4,3,3,2,2],[2,2,1,1]]=>[2,2,1,1] [[4,4,3,2,2],[3,2,1,1]]=>[3,2,1,1] [[5,3,2,2],[2,1,1]]=>[2,1,1] [[4,4,4,2,2],[3,3,1,1]]=>[3,3,1,1] [[5,4,2,2],[3,1,1]]=>[3,1,1] [[3,3,3,3,3,2],[2,2,2,2,1]]=>[2,2,2,2,1] [[4,3,3,3,2],[2,2,2,1]]=>[2,2,2,1] [[4,4,3,3,2],[3,2,2,1]]=>[3,2,2,1] [[5,3,3,2],[2,2,1]]=>[2,2,1] [[4,4,4,3,2],[3,3,2,1]]=>[3,3,2,1] [[5,4,3,2],[3,2,1]]=>[3,2,1] [[5,5,3,2],[4,2,1]]=>[4,2,1] [[4,4,4,4,2],[3,3,3,1]]=>[3,3,3,1] [[5,4,4,2],[3,3,1]]=>[3,3,1] [[5,5,4,2],[4,3,1]]=>[4,3,1] [[6,4,2],[3,1]]=>[3,1] [[5,5,5,2],[4,4,1]]=>[4,4,1] [[6,5,2],[4,1]]=>[4,1] [[3,3,3,3,3,3],[2,2,2,2,2]]=>[2,2,2,2,2] [[4,4,3,3,3],[3,2,2,2]]=>[3,2,2,2] [[5,3,3,3],[2,2,2]]=>[2,2,2] [[4,4,4,3,3],[3,3,2,2]]=>[3,3,2,2] [[5,4,3,3],[3,2,2]]=>[3,2,2] [[5,5,3,3],[4,2,2]]=>[4,2,2] [[4,4,4,4,3],[3,3,3,2]]=>[3,3,3,2] [[5,4,4,3],[3,3,2]]=>[3,3,2] [[5,5,4,3],[4,3,2]]=>[4,3,2] [[6,4,3],[3,2]]=>[3,2] [[5,5,5,3],[4,4,2]]=>[4,4,2] [[6,5,3],[4,2]]=>[4,2] [[6,6,3],[5,2]]=>[5,2] [[4,4,4,4,4],[3,3,3,3]]=>[3,3,3,3] [[5,4,4,4],[3,3,3]]=>[3,3,3] [[5,5,4,4],[4,3,3]]=>[4,3,3] [[6,4,4],[3,3]]=>[3,3] [[5,5,5,4],[4,4,3]]=>[4,4,3] [[6,5,4],[4,3]]=>[4,3] [[6,6,4],[5,3]]=>[5,3] [[7,4],[3]]=>[3] [[5,5,5,5],[4,4,4]]=>[4,4,4] [[6,6,6],[5,5]]=>[5,5] [[7,7],[6]]=>[6] [[3,3,3],[1]]=>[1] [[3,3,3,1],[1,1]]=>[1,1] [[4,4,1],[1]]=>[1] [[3,3,2,1],[1]]=>[1] [[2,2,2,2,1],[1]]=>[1] [[3,3,3,1],[2]]=>[2] [[3,3,3,2],[1,1,1]]=>[1,1,1] [[4,4,2],[1,1]]=>[1,1] [[4,4,4],[2,2]]=>[2,2] [[5,5],[2]]=>[2] [[4,4,3],[2,1]]=>[2,1] [[3,3,3,3],[2,1,1]]=>[2,1,1] [[4,3,3],[1,1]]=>[1,1] [[4,4,4],[3,1]]=>[3,1] [[5,4],[1]]=>[1] [[3,3,2,2],[1,1]]=>[1,1] [[4,4,2],[2]]=>[2] [[3,3,3,2],[2,1]]=>[2,1] [[4,3,2],[1]]=>[1] [[2,2,2,2,2],[1,1]]=>[1,1] [[3,2,2,2],[1]]=>[1] [[3,3,2,2],[2]]=>[2] [[3,3,3,3],[2,2]]=>[2,2] [[4,3,3],[2]]=>[2] [[4,4,3],[3]]=>[3] [[6,6],[4]]=>[4] [[5,5,5],[4,3]]=>[4,3] [[6,5],[3]]=>[3] [[4,4,4,4],[3,3,2]]=>[3,3,2] [[6,4],[2]]=>[2] [[3,3,3,3,3],[2,2,2,1]]=>[2,2,2,1] [[6,3],[1]]=>[1] [[2,2,2,2,2,2],[1,1,1,1]]=>[1,1,1,1] [[9],[]]=>[] [[8,1],[]]=>[] [[7,2],[]]=>[] [[7,1,1],[]]=>[] [[6,3],[]]=>[] [[6,2,1],[]]=>[] [[6,1,1,1],[]]=>[] [[5,4],[]]=>[] [[5,3,1],[]]=>[] [[5,2,2],[]]=>[] [[5,2,1,1],[]]=>[] [[5,1,1,1,1],[]]=>[] [[4,4,1],[]]=>[] [[4,3,2],[]]=>[] [[4,3,1,1],[]]=>[] [[4,2,2,1],[]]=>[] [[4,2,1,1,1],[]]=>[] [[4,1,1,1,1,1],[]]=>[] [[3,3,3],[]]=>[] [[3,3,2,1],[]]=>[] [[3,3,1,1,1],[]]=>[] [[3,2,2,2],[]]=>[] [[3,2,2,1,1],[]]=>[] [[3,2,1,1,1,1],[]]=>[] [[3,1,1,1,1,1,1],[]]=>[] [[2,2,2,2,1],[]]=>[] [[2,2,2,1,1,1],[]]=>[] [[2,2,1,1,1,1,1],[]]=>[] [[2,1,1,1,1,1,1,1],[]]=>[] [[1,1,1,1,1,1,1,1,1],[]]=>[] [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]]=>[1,1,1,1,1,1,1] [[3,3,3,3,3,3,3],[2,2,2,2,2,2]]=>[2,2,2,2,2,2] [[4,4,4,4,4,4],[3,3,3,3,3]]=>[3,3,3,3,3] [[5,5,5,5,5],[4,4,4,4]]=>[4,4,4,4] [[6,6,6,6],[5,5,5]]=>[5,5,5] [[7,7,7],[6,6]]=>[6,6] [[8,8],[7]]=>[7] [[3,3,3,1],[1]]=>[1] [[3,3,3,3],[1,1,1]]=>[1,1,1] [[4,4,3],[1,1]]=>[1,1] [[4,4,4],[2,1]]=>[2,1] [[5,5],[1]]=>[1] [[3,3,3,2],[1,1]]=>[1,1] [[4,4,2],[1]]=>[1] [[3,3,2,2],[1]]=>[1] [[2,2,2,2,2],[1]]=>[1] [[3,3,3,2],[2]]=>[2] [[4,4,3],[2]]=>[2] [[3,3,3,3],[2,1]]=>[2,1] [[4,3,3],[1]]=>[1] [[4,4,4],[3]]=>[3] [[5,5,5],[3,3]]=>[3,3] [[6,6],[3]]=>[3] [[5,5,4],[3,2]]=>[3,2] [[4,4,4,4],[3,2,2]]=>[3,2,2] [[5,4,4],[2,2]]=>[2,2] [[5,5,5],[4,2]]=>[4,2] [[6,5],[2]]=>[2] [[5,5,3],[3,1]]=>[3,1] [[5,4,3],[2,1]]=>[2,1] [[3,3,3,3,3],[2,2,1,1]]=>[2,2,1,1] [[5,3,3],[1,1]]=>[1,1] [[4,4,4,4],[3,3,1]]=>[3,3,1] [[6,4],[1]]=>[1] [[5,5,2],[3]]=>[3] [[5,4,2],[2]]=>[2] [[5,3,2],[1]]=>[1] [[2,2,2,2,2,2],[1,1,1]]=>[1,1,1] [[3,3,3,3,3],[2,2,2]]=>[2,2,2] [[7,7],[5]]=>[5] [[6,6,6],[5,4]]=>[5,4] [[5,5,5,5],[4,4,3]]=>[4,4,3] [[4,4,4,4,4],[3,3,3,2]]=>[3,3,3,2] [[3,3,3,3,3,3],[2,2,2,2,1]]=>[2,2,2,2,1] [[2,2,2,2,2,2,2],[1,1,1,1,1]]=>[1,1,1,1,1] [[10],[]]=>[] [[9,1],[]]=>[] [[8,2],[]]=>[] [[8,1,1],[]]=>[] [[7,3],[]]=>[] [[7,2,1],[]]=>[] [[7,1,1,1],[]]=>[] [[6,4],[]]=>[] [[6,3,1],[]]=>[] [[6,2,2],[]]=>[] [[6,2,1,1],[]]=>[] [[6,1,1,1,1],[]]=>[] [[5,5],[]]=>[] [[5,4,1],[]]=>[] [[5,3,2],[]]=>[] [[5,3,1,1],[]]=>[] [[5,2,2,1],[]]=>[] [[5,2,1,1,1],[]]=>[] [[5,1,1,1,1,1],[]]=>[] [[4,4,2],[]]=>[] [[4,4,1,1],[]]=>[] [[4,3,3],[]]=>[] [[4,3,2,1],[]]=>[] [[4,3,1,1,1],[]]=>[] [[4,2,2,2],[]]=>[] [[4,2,2,1,1],[]]=>[] [[4,2,1,1,1,1],[]]=>[] [[4,1,1,1,1,1,1],[]]=>[] [[3,3,3,1],[]]=>[] [[3,3,2,2],[]]=>[] [[3,3,2,1,1],[]]=>[] [[3,3,1,1,1,1],[]]=>[] [[3,2,2,2,1],[]]=>[] [[3,2,2,1,1,1],[]]=>[] [[3,2,1,1,1,1,1],[]]=>[] [[3,1,1,1,1,1,1,1],[]]=>[] [[2,2,2,2,2],[]]=>[] [[2,2,2,2,1,1],[]]=>[] [[2,2,2,1,1,1,1],[]]=>[] [[2,2,1,1,1,1,1,1],[]]=>[] [[2,1,1,1,1,1,1,1,1],[]]=>[] [[1,1,1,1,1,1,1,1,1,1],[]]=>[] [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]]=>[1,1,1,1,1,1,1,1] [[3,3,3,3,3,3,3,3],[2,2,2,2,2,2,2]]=>[2,2,2,2,2,2,2] [[4,4,4,4,4,4,4],[3,3,3,3,3,3]]=>[3,3,3,3,3,3] [[5,5,5,5,5,5],[4,4,4,4,4]]=>[4,4,4,4,4] [[6,6,6,6,6],[5,5,5,5]]=>[5,5,5,5] [[7,7,7,7],[6,6,6]]=>[6,6,6] [[8,8,8],[7,7]]=>[7,7] [[9,9],[8]]=>[8] [[4,4,4],[1,1]]=>[1,1] [[3,3,3,2],[1]]=>[1] [[3,3,3,3],[1,1]]=>[1,1] [[4,4,3],[1]]=>[1] [[4,4,4],[2]]=>[2] [[3,3,3,3],[2]]=>[2] [[4,4,4,4],[2,2,2]]=>[2,2,2] [[5,5,4],[2,2]]=>[2,2] [[5,5,5],[3,2]]=>[3,2] [[6,6],[2]]=>[2] [[4,4,4,3],[2,2,1]]=>[2,2,1] [[5,5,3],[2,1]]=>[2,1] [[4,4,3,3],[2,1,1]]=>[2,1,1] [[3,3,3,3,3],[2,1,1,1]]=>[2,1,1,1] [[4,3,3,3],[1,1,1]]=>[1,1,1] [[5,4,3],[1,1]]=>[1,1] [[5,5,4],[3,1]]=>[3,1] [[4,4,4,4],[3,2,1]]=>[3,2,1] [[5,4,4],[2,1]]=>[2,1] [[5,5,5],[4,1]]=>[4,1] [[6,5],[1]]=>[1] [[4,4,4,2],[2,2]]=>[2,2] [[5,5,2],[2]]=>[2] [[4,4,3,2],[2,1]]=>[2,1] [[4,3,3,2],[1,1]]=>[1,1] [[5,4,2],[1]]=>[1] [[4,4,2,2],[2]]=>[2] [[4,3,2,2],[1]]=>[1] [[2,2,2,2,2,2],[1,1]]=>[1,1] [[5,5,3],[3]]=>[3] [[5,4,3],[2]]=>[2] [[3,3,3,3,3],[2,2,1]]=>[2,2,1] [[5,3,3],[1]]=>[1] [[4,4,4,4],[3,3]]=>[3,3] [[6,6,6],[4,4]]=>[4,4] [[7,7],[4]]=>[4] [[5,5,5,5],[4,3,3]]=>[4,3,3] [[6,6,6],[5,3]]=>[5,3] [[4,4,4,4,4],[3,3,2,2]]=>[3,3,2,2] [[5,5,5,5],[4,4,2]]=>[4,4,2] [[3,3,3,3,3,3],[2,2,2,1,1]]=>[2,2,2,1,1] [[4,4,4,4,4],[3,3,3,1]]=>[3,3,3,1] [[2,2,2,2,2,2,2],[1,1,1,1]]=>[1,1,1,1] [[3,3,3,3,3,3],[2,2,2,2]]=>[2,2,2,2] [[8,8],[6]]=>[6] [[7,7,7],[6,5]]=>[6,5] [[6,6,6,6],[5,5,4]]=>[5,5,4] [[5,5,5,5,5],[4,4,4,3]]=>[4,4,4,3] [[4,4,4,4,4,4],[3,3,3,3,2]]=>[3,3,3,3,2] [[3,3,3,3,3,3,3],[2,2,2,2,2,1]]=>[2,2,2,2,2,1] [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1]]=>[1,1,1,1,1,1] [[6,5],[]]=>[] [[5,5,1],[]]=>[] [[5,4,2],[]]=>[] [[5,3,3],[]]=>[] [[4,4,3],[]]=>[] [[4,4,2,1],[]]=>[] [[4,3,3,1],[]]=>[] [[4,3,2,2],[]]=>[] [[3,3,3,2],[]]=>[] [[3,2,2,2,2],[]]=>[] [[4,4,4],[1]]=>[1] [[3,3,3,3],[1]]=>[1] [[4,4,4,1],[1,1]]=>[1,1] [[4,4,3,1],[1]]=>[1] [[4,4,4,1],[2]]=>[2] [[4,4,4,2],[1,1,1]]=>[1,1,1] [[5,5,5],[2,2]]=>[2,2] [[3,3,3,3,3],[1,1,1,1]]=>[1,1,1,1] [[4,4,3,3],[1,1,1]]=>[1,1,1] [[4,4,4,3],[2,1,1]]=>[2,1,1] [[5,5,3],[1,1]]=>[1,1] [[4,4,4,4],[2,2,1]]=>[2,2,1] [[5,5,4],[2,1]]=>[2,1] [[5,5,5],[3,1]]=>[3,1] [[6,6],[1]]=>[1] [[4,4,4,4],[3,1,1]]=>[3,1,1] [[5,4,4],[1,1]]=>[1,1] [[3,3,3,3,2],[1,1,1]]=>[1,1,1] [[4,4,3,2],[1,1]]=>[1,1] [[4,4,4,2],[2,1]]=>[2,1] [[5,5,2],[1]]=>[1] [[3,3,3,2,2],[1,1]]=>[1,1] [[4,4,2,2],[1]]=>[1] [[3,3,2,2,2],[1]]=>[1] [[4,4,3,2],[2]]=>[2] [[4,3,3,2],[1]]=>[1] [[4,4,4,2],[3]]=>[3] [[4,4,4,3],[2,2]]=>[2,2] [[5,5,3],[2]]=>[2] [[4,4,3,3],[2,1]]=>[2,1] [[3,3,3,3,3],[2,1,1]]=>[2,1,1] [[4,3,3,3],[1,1]]=>[1,1] [[4,4,4,3],[3,1]]=>[3,1] [[5,4,3],[1]]=>[1] [[5,5,4],[3]]=>[3] [[4,4,4,4],[3,2]]=>[3,2] [[5,4,4],[2]]=>[2] [[5,5,5],[4]]=>[4] [[3,3,3,3,3],[2,2]]=>[2,2] [[4,3,3,3],[2]]=>[2] [[4,4,3,3],[3]]=>[3] [[5,5,5,5],[3,3,3]]=>[3,3,3] [[4,4,4,4,4],[3,2,2,2]]=>[3,2,2,2] [[5,5,5,5],[4,3,2]]=>[4,3,2] [[4,4,4,4,4],[3,3,2,1]]=>[3,3,2,1] [[5,5,5,5],[4,4,1]]=>[4,4,1] [[4,4,4,4,4],[3,3,3]]=>[3,3,3] [[5,5,5,5,5],[4,4,3,3]]=>[4,4,3,3] [[5,5,5,5,5],[4,4,4,2]]=>[4,4,4,2] [[6,6],[]]=>[] [[5,5,2],[]]=>[] [[5,4,3],[]]=>[] [[4,4,4],[]]=>[] [[4,4,3,1],[]]=>[] [[4,4,2,2],[]]=>[] [[4,3,3,2],[]]=>[] [[3,3,3,3],[]]=>[] [[3,3,3,2,1],[]]=>[] [[3,3,2,2,2],[]]=>[] [[2,2,2,2,2,2],[]]=>[] [[4,4,4,1],[1]]=>[1] [[3,3,3,3,1],[1]]=>[1] [[4,4,4,3],[1,1,1]]=>[1,1,1] [[5,5,5],[2,1]]=>[2,1] [[4,4,4,4],[2,1,1]]=>[2,1,1] [[5,5,4],[1,1]]=>[1,1] [[4,4,4,2],[1,1]]=>[1,1] [[3,3,3,2,2],[1]]=>[1] [[3,3,3,3,2],[1,1]]=>[1,1] [[4,4,3,2],[1]]=>[1] [[4,4,4,2],[2]]=>[2] [[3,3,3,3,2],[2]]=>[2] [[3,3,3,3,3],[1,1,1]]=>[1,1,1] [[4,4,3,3],[1,1]]=>[1,1] [[4,4,4,3],[2,1]]=>[2,1] [[5,5,3],[1]]=>[1] [[4,4,4,4],[2,2]]=>[2,2] [[5,5,4],[2]]=>[2] [[5,5,5],[3]]=>[3] [[4,4,4,4],[3,1]]=>[3,1] [[5,4,4],[1]]=>[1] [[4,4,3,3],[2]]=>[2] [[3,3,3,3,3],[2,1]]=>[2,1] [[4,3,3,3],[1]]=>[1] [[4,4,4,3],[3]]=>[3] [[5,5,5,5],[3,3,2]]=>[3,3,2] [[6,6,6],[4,2]]=>[4,2] [[5,5,5,5],[4,2,2]]=>[4,2,2] [[4,4,4,4,4],[3,2,2,1]]=>[3,2,2,1] [[5,5,5,5],[4,3,1]]=>[4,3,1] [[4,4,4,4,4],[3,3,1,1]]=>[3,3,1,1] [[3,3,3,3,3,3],[2,2,1,1]]=>[2,2,1,1] [[4,4,4,4,4],[3,3,2]]=>[3,3,2] [[5,5,5,5,5],[4,3,3,3]]=>[4,3,3,3] [[5,5,5,5,5],[4,4,3,2]]=>[4,4,3,2] [[5,5,5,5,5],[4,4,4,1]]=>[4,4,4,1] [[5,5,3],[]]=>[] [[5,4,4],[]]=>[] [[4,4,4,1],[]]=>[] [[4,4,3,2],[]]=>[] [[4,3,3,3],[]]=>[] [[3,3,3,3,1],[]]=>[] [[3,3,3,2,2],[]]=>[] [[4,4,4,4],[1,1,1]]=>[1,1,1] [[5,5,5],[1,1]]=>[1,1] [[4,4,4,2],[1]]=>[1] [[3,3,3,3,2],[1]]=>[1] [[4,4,4,3],[1,1]]=>[1,1] [[5,5,5],[2]]=>[2] [[4,4,4,4],[2,1]]=>[2,1] [[5,5,4],[1]]=>[1] [[3,3,3,3,3],[1,1]]=>[1,1] [[4,4,3,3],[1]]=>[1] [[4,4,4,3],[2]]=>[2] [[3,3,3,3,3],[2]]=>[2] [[4,4,4,4],[3]]=>[3] [[5,5,5,5],[3,2,2]]=>[3,2,2] [[5,5,5,5],[3,3,1]]=>[3,3,1] [[5,5,5,5],[4,2,1]]=>[4,2,1] [[4,4,4,4,4],[3,2,1,1]]=>[3,2,1,1] [[4,4,4,4,4],[3,2,2]]=>[3,2,2] [[4,4,4,4,4],[3,3,1]]=>[3,3,1] [[5,5,5,5,5],[4,3,3,2]]=>[4,3,3,2] [[5,5,5,5,5],[4,4,2,2]]=>[4,4,2,2] [[5,5,5,5,5],[4,4,3,1]]=>[4,4,3,1] [[5,5,4],[]]=>[] [[4,4,4,2],[]]=>[] [[4,4,3,3],[]]=>[] [[3,3,3,3,2],[]]=>[] [[4,4,4,4],[1,1]]=>[1,1] [[5,5,5],[1]]=>[1] [[4,4,4,3],[1]]=>[1] [[3,3,3,3,3],[1]]=>[1] [[4,4,4,4],[2]]=>[2] [[5,5,5,5],[3,2,1]]=>[3,2,1] [[4,4,4,4,4],[3,2,1]]=>[3,2,1] [[5,5,5,5,5],[4,3,2,2]]=>[4,3,2,2] [[5,5,5,5,5],[4,3,3,1]]=>[4,3,3,1] [[5,5,5,5,5],[4,4,2,1]]=>[4,4,2,1] [[5,5,5],[]]=>[] [[5,5,4,1],[]]=>[] [[4,4,4,3],[]]=>[] [[3,3,3,3,3],[]]=>[] [[4,4,4,4],[1]]=>[1] [[5,5,5,1],[1]]=>[1] [[5,5,5,5],[4,1]]=>[4,1] [[5,5,5,4],[4]]=>[4] [[5,5,5,5,5],[4,3,2,1]]=>[4,3,2,1] [[5,5,5,1],[]]=>[] [[4,4,4,4],[]]=>[] [[4,4,4,3,1],[]]=>[] [[3,3,3,3,3,1],[]]=>[] [[4,4,4,4,1],[1]]=>[1] [[3,3,3,3,3,3],[2]]=>[2] [[4,4,4,4,3],[3]]=>[3] [[4,4,4,4,4],[3,1]]=>[3,1] [[5,5,5,5],[4]]=>[4] [[4,4,4,4,1],[]]=>[] [[4,4,4,4,4],[3]]=>[3] [[5,5,5,5,4],[4]]=>[4] [[5,5,5,5,5],[4,1]]=>[4,1] [[5,5,5,4,1],[]]=>[] [[5,5,5,5,1],[1]]=>[1] [[5,5,5,5,5],[4]]=>[4] [[5,5,5,5,1],[]]=>[] [[4,4,4,4,4,4],[3]]=>[3] [[4,4,4,4,4,1],[]]=>[] [[6,6,6,6,6],[5]]=>[5] [[6,6,6,6,1],[]]=>[] [[5,5,5,5,5,5],[4]]=>[4] [[5,5,5,5,5,1],[]]=>[] [[6,6,6,6,6,6],[5]]=>[5] [[6,6,6,6,6,1],[]]=>[]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The inner shape of a skew partition.
Properties
surjective
Sage code
def mapping(la):
    return la.inner()
Weight
26
Created
Sep 22, 2020 at 17:35 by Martin Rubey
Updated
Sep 22, 2020 at 17:35 by Martin Rubey