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[]=>[] [1]=>[1] [1,1]=>[1,1] [2]=>[2] [1,1,1]=>[1,1,1] [1,2]=>[2,1] [2,1]=>[1,2] [3]=>[3] [1,1,1,1]=>[1,1,1,1] [1,1,2]=>[2,1,1] [1,2,1]=>[1,2,1] [1,3]=>[3,1] [2,1,1]=>[1,1,2] [2,2]=>[2,2] [3,1]=>[1,3] [4]=>[4] [1,1,1,1,1]=>[1,1,1,1,1] [1,1,1,2]=>[2,1,1,1] [1,1,2,1]=>[1,2,1,1] [1,1,3]=>[3,1,1] [1,2,1,1]=>[1,1,2,1] [1,2,2]=>[2,2,1] [1,3,1]=>[1,3,1] [1,4]=>[4,1] [2,1,1,1]=>[1,1,1,2] [2,1,2]=>[2,1,2] [2,2,1]=>[1,2,2] [2,3]=>[3,2] [3,1,1]=>[1,1,3] [3,2]=>[2,3] [4,1]=>[1,4] [5]=>[5] [1,1,1,1,1,1]=>[1,1,1,1,1,1] [1,1,1,1,2]=>[2,1,1,1,1] [1,1,1,2,1]=>[1,2,1,1,1] [1,1,1,3]=>[3,1,1,1] [1,1,2,1,1]=>[1,1,2,1,1] [1,1,2,2]=>[2,2,1,1] [1,1,3,1]=>[1,3,1,1] [1,1,4]=>[4,1,1] [1,2,1,1,1]=>[1,1,1,2,1] [1,2,1,2]=>[2,1,2,1] [1,2,2,1]=>[1,2,2,1] [1,2,3]=>[3,2,1] [1,3,1,1]=>[1,1,3,1] [1,3,2]=>[2,3,1] [1,4,1]=>[1,4,1] [1,5]=>[5,1] [2,1,1,1,1]=>[1,1,1,1,2] [2,1,1,2]=>[2,1,1,2] [2,1,2,1]=>[1,2,1,2] [2,1,3]=>[3,1,2] [2,2,1,1]=>[1,1,2,2] [2,2,2]=>[2,2,2] [2,3,1]=>[1,3,2] [2,4]=>[4,2] [3,1,1,1]=>[1,1,1,3] [3,1,2]=>[2,1,3] [3,2,1]=>[1,2,3] [3,3]=>[3,3] [4,1,1]=>[1,1,4] [4,2]=>[2,4] [5,1]=>[1,5] [6]=>[6] [1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1] [1,1,1,1,1,2]=>[2,1,1,1,1,1] [1,1,1,1,2,1]=>[1,2,1,1,1,1] [1,1,1,1,3]=>[3,1,1,1,1] [1,1,1,2,1,1]=>[1,1,2,1,1,1] [1,1,1,2,2]=>[2,2,1,1,1] [1,1,1,3,1]=>[1,3,1,1,1] [1,1,1,4]=>[4,1,1,1] [1,1,2,1,1,1]=>[1,1,1,2,1,1] [1,1,2,1,2]=>[2,1,2,1,1] [1,1,2,2,1]=>[1,2,2,1,1] [1,1,2,3]=>[3,2,1,1] [1,1,3,1,1]=>[1,1,3,1,1] [1,1,3,2]=>[2,3,1,1] [1,1,4,1]=>[1,4,1,1] [1,1,5]=>[5,1,1] [1,2,1,1,1,1]=>[1,1,1,1,2,1] [1,2,1,1,2]=>[2,1,1,2,1] [1,2,1,2,1]=>[1,2,1,2,1] [1,2,1,3]=>[3,1,2,1] [1,2,2,1,1]=>[1,1,2,2,1] [1,2,2,2]=>[2,2,2,1] [1,2,3,1]=>[1,3,2,1] [1,2,4]=>[4,2,1] [1,3,1,1,1]=>[1,1,1,3,1] [1,3,1,2]=>[2,1,3,1] [1,3,2,1]=>[1,2,3,1] [1,3,3]=>[3,3,1] [1,4,1,1]=>[1,1,4,1] [1,4,2]=>[2,4,1] [1,5,1]=>[1,5,1] [1,6]=>[6,1] [2,1,1,1,1,1]=>[1,1,1,1,1,2] [2,1,1,1,2]=>[2,1,1,1,2] [2,1,1,2,1]=>[1,2,1,1,2] [2,1,1,3]=>[3,1,1,2] [2,1,2,1,1]=>[1,1,2,1,2] [2,1,2,2]=>[2,2,1,2] [2,1,3,1]=>[1,3,1,2] [2,1,4]=>[4,1,2] [2,2,1,1,1]=>[1,1,1,2,2] [2,2,1,2]=>[2,1,2,2] [2,2,2,1]=>[1,2,2,2] [2,2,3]=>[3,2,2] [2,3,1,1]=>[1,1,3,2] [2,3,2]=>[2,3,2] [2,4,1]=>[1,4,2] [2,5]=>[5,2] [3,1,1,1,1]=>[1,1,1,1,3] [3,1,1,2]=>[2,1,1,3] [3,1,2,1]=>[1,2,1,3] [3,1,3]=>[3,1,3] [3,2,1,1]=>[1,1,2,3] [3,2,2]=>[2,2,3] [3,3,1]=>[1,3,3] [3,4]=>[4,3] [4,1,1,1]=>[1,1,1,4] [4,1,2]=>[2,1,4] [4,2,1]=>[1,2,4] [4,3]=>[3,4] [5,1,1]=>[1,1,5] [5,2]=>[2,5] [6,1]=>[1,6] [7]=>[7] [1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1] [1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1] [1,1,1,1,1,3]=>[3,1,1,1,1,1] [1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1] [1,1,1,1,2,2]=>[2,2,1,1,1,1] [1,1,1,1,3,1]=>[1,3,1,1,1,1] [1,1,1,1,4]=>[4,1,1,1,1] [1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1] [1,1,1,2,1,2]=>[2,1,2,1,1,1] [1,1,1,2,2,1]=>[1,2,2,1,1,1] [1,1,1,2,3]=>[3,2,1,1,1] [1,1,1,3,1,1]=>[1,1,3,1,1,1] [1,1,1,3,2]=>[2,3,1,1,1] [1,1,1,4,1]=>[1,4,1,1,1] [1,1,1,5]=>[5,1,1,1] [1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1] [1,1,2,1,1,2]=>[2,1,1,2,1,1] [1,1,2,1,2,1]=>[1,2,1,2,1,1] [1,1,2,1,3]=>[3,1,2,1,1] [1,1,2,2,1,1]=>[1,1,2,2,1,1] [1,1,2,2,2]=>[2,2,2,1,1] [1,1,2,3,1]=>[1,3,2,1,1] [1,1,2,4]=>[4,2,1,1] [1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,3,1,2]=>[2,1,3,1,1] [1,1,3,2,1]=>[1,2,3,1,1] [1,1,3,3]=>[3,3,1,1] [1,1,4,1,1]=>[1,1,4,1,1] [1,1,4,2]=>[2,4,1,1] [1,1,5,1]=>[1,5,1,1] [1,1,6]=>[6,1,1] [1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1] [1,2,1,1,1,2]=>[2,1,1,1,2,1] [1,2,1,1,2,1]=>[1,2,1,1,2,1] [1,2,1,1,3]=>[3,1,1,2,1] [1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,2,1,2,2]=>[2,2,1,2,1] [1,2,1,3,1]=>[1,3,1,2,1] [1,2,1,4]=>[4,1,2,1] [1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,2,2,1,2]=>[2,1,2,2,1] [1,2,2,2,1]=>[1,2,2,2,1] [1,2,2,3]=>[3,2,2,1] [1,2,3,1,1]=>[1,1,3,2,1] [1,2,3,2]=>[2,3,2,1] [1,2,4,1]=>[1,4,2,1] [1,2,5]=>[5,2,1] [1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,3,1,1,2]=>[2,1,1,3,1] [1,3,1,2,1]=>[1,2,1,3,1] [1,3,1,3]=>[3,1,3,1] [1,3,2,1,1]=>[1,1,2,3,1] [1,3,2,2]=>[2,2,3,1] [1,3,3,1]=>[1,3,3,1] [1,3,4]=>[4,3,1] [1,4,1,1,1]=>[1,1,1,4,1] [1,4,1,2]=>[2,1,4,1] [1,4,2,1]=>[1,2,4,1] [1,4,3]=>[3,4,1] [1,5,1,1]=>[1,1,5,1] [1,5,2]=>[2,5,1] [1,6,1]=>[1,6,1] [1,7]=>[7,1] [2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2] [2,1,1,1,1,2]=>[2,1,1,1,1,2] [2,1,1,1,2,1]=>[1,2,1,1,1,2] [2,1,1,1,3]=>[3,1,1,1,2] [2,1,1,2,1,1]=>[1,1,2,1,1,2] [2,1,1,2,2]=>[2,2,1,1,2] [2,1,1,3,1]=>[1,3,1,1,2] [2,1,1,4]=>[4,1,1,2] [2,1,2,1,1,1]=>[1,1,1,2,1,2] [2,1,2,1,2]=>[2,1,2,1,2] [2,1,2,2,1]=>[1,2,2,1,2] [2,1,2,3]=>[3,2,1,2] [2,1,3,1,1]=>[1,1,3,1,2] [2,1,3,2]=>[2,3,1,2] [2,1,4,1]=>[1,4,1,2] [2,1,5]=>[5,1,2] [2,2,1,1,1,1]=>[1,1,1,1,2,2] [2,2,1,1,2]=>[2,1,1,2,2] [2,2,1,2,1]=>[1,2,1,2,2] [2,2,1,3]=>[3,1,2,2] [2,2,2,1,1]=>[1,1,2,2,2] [2,2,2,2]=>[2,2,2,2] [2,2,3,1]=>[1,3,2,2] [2,2,4]=>[4,2,2] [2,3,1,1,1]=>[1,1,1,3,2] [2,3,1,2]=>[2,1,3,2] [2,3,2,1]=>[1,2,3,2] [2,3,3]=>[3,3,2] [2,4,1,1]=>[1,1,4,2] [2,4,2]=>[2,4,2] [2,5,1]=>[1,5,2] [2,6]=>[6,2] [3,1,1,1,1,1]=>[1,1,1,1,1,3] [3,1,1,1,2]=>[2,1,1,1,3] [3,1,1,2,1]=>[1,2,1,1,3] [3,1,1,3]=>[3,1,1,3] [3,1,2,1,1]=>[1,1,2,1,3] [3,1,2,2]=>[2,2,1,3] [3,1,3,1]=>[1,3,1,3] [3,1,4]=>[4,1,3] [3,2,1,1,1]=>[1,1,1,2,3] [3,2,1,2]=>[2,1,2,3] [3,2,2,1]=>[1,2,2,3] [3,2,3]=>[3,2,3] [3,3,1,1]=>[1,1,3,3] [3,3,2]=>[2,3,3] [3,4,1]=>[1,4,3] [3,5]=>[5,3] [4,1,1,1,1]=>[1,1,1,1,4] [4,1,1,2]=>[2,1,1,4] [4,1,2,1]=>[1,2,1,4] [4,1,3]=>[3,1,4] [4,2,1,1]=>[1,1,2,4] [4,2,2]=>[2,2,4] [4,3,1]=>[1,3,4] [4,4]=>[4,4] [5,1,1,1]=>[1,1,1,5] [5,1,2]=>[2,1,5] [5,2,1]=>[1,2,5] [5,3]=>[3,5] [6,1,1]=>[1,1,6] [6,2]=>[2,6] [7,1]=>[1,7] [8]=>[8] [1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1] [1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1] [1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1] [1,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,1] [1,1,1,1,1,2,2]=>[2,2,1,1,1,1,1] [1,1,1,1,1,3,1]=>[1,3,1,1,1,1,1] [1,1,1,1,1,4]=>[4,1,1,1,1,1] [1,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,1] [1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1] [1,1,1,1,2,2,1]=>[1,2,2,1,1,1,1] [1,1,1,1,2,3]=>[3,2,1,1,1,1] [1,1,1,1,3,1,1]=>[1,1,3,1,1,1,1] [1,1,1,1,3,2]=>[2,3,1,1,1,1] [1,1,1,1,4,1]=>[1,4,1,1,1,1] [1,1,1,1,5]=>[5,1,1,1,1] [1,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,1] [1,1,1,2,1,1,2]=>[2,1,1,2,1,1,1] [1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1] [1,1,1,2,1,3]=>[3,1,2,1,1,1] [1,1,1,2,2,1,1]=>[1,1,2,2,1,1,1] [1,1,1,2,2,2]=>[2,2,2,1,1,1] [1,1,1,2,3,1]=>[1,3,2,1,1,1] [1,1,1,2,4]=>[4,2,1,1,1] [1,1,1,3,1,1,1]=>[1,1,1,3,1,1,1] [1,1,1,3,1,2]=>[2,1,3,1,1,1] [1,1,1,3,2,1]=>[1,2,3,1,1,1] [1,1,1,3,3]=>[3,3,1,1,1] [1,1,1,4,1,1]=>[1,1,4,1,1,1] [1,1,1,4,2]=>[2,4,1,1,1] [1,1,1,5,1]=>[1,5,1,1,1] [1,1,1,6]=>[6,1,1,1] [1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1] [1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1] [1,1,2,1,1,2,1]=>[1,2,1,1,2,1,1] [1,1,2,1,1,3]=>[3,1,1,2,1,1] [1,1,2,1,2,1,1]=>[1,1,2,1,2,1,1] [1,1,2,1,2,2]=>[2,2,1,2,1,1] [1,1,2,1,3,1]=>[1,3,1,2,1,1] [1,1,2,1,4]=>[4,1,2,1,1] [1,1,2,2,1,1,1]=>[1,1,1,2,2,1,1] [1,1,2,2,1,2]=>[2,1,2,2,1,1] [1,1,2,2,2,1]=>[1,2,2,2,1,1] [1,1,2,2,3]=>[3,2,2,1,1] [1,1,2,3,1,1]=>[1,1,3,2,1,1] [1,1,2,3,2]=>[2,3,2,1,1] [1,1,2,4,1]=>[1,4,2,1,1] [1,1,2,5]=>[5,2,1,1] [1,1,3,1,1,1,1]=>[1,1,1,1,3,1,1] [1,1,3,1,1,2]=>[2,1,1,3,1,1] [1,1,3,1,2,1]=>[1,2,1,3,1,1] [1,1,3,1,3]=>[3,1,3,1,1] [1,1,3,2,1,1]=>[1,1,2,3,1,1] [1,1,3,2,2]=>[2,2,3,1,1] [1,1,3,3,1]=>[1,3,3,1,1] [1,1,3,4]=>[4,3,1,1] [1,1,4,1,1,1]=>[1,1,1,4,1,1] [1,1,4,1,2]=>[2,1,4,1,1] [1,1,4,2,1]=>[1,2,4,1,1] [1,1,4,3]=>[3,4,1,1] [1,1,5,1,1]=>[1,1,5,1,1] [1,1,5,2]=>[2,5,1,1] [1,1,6,1]=>[1,6,1,1] [1,1,7]=>[7,1,1] [1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1] [1,2,1,1,1,1,2]=>[2,1,1,1,1,2,1] [1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1] [1,2,1,1,1,3]=>[3,1,1,1,2,1] [1,2,1,1,2,1,1]=>[1,1,2,1,1,2,1] [1,2,1,1,2,2]=>[2,2,1,1,2,1] [1,2,1,1,3,1]=>[1,3,1,1,2,1] [1,2,1,1,4]=>[4,1,1,2,1] [1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1] [1,2,1,2,1,2]=>[2,1,2,1,2,1] [1,2,1,2,2,1]=>[1,2,2,1,2,1] [1,2,1,2,3]=>[3,2,1,2,1] [1,2,1,3,1,1]=>[1,1,3,1,2,1] [1,2,1,3,2]=>[2,3,1,2,1] [1,2,1,4,1]=>[1,4,1,2,1] [1,2,1,5]=>[5,1,2,1] [1,2,2,1,1,1,1]=>[1,1,1,1,2,2,1] [1,2,2,1,1,2]=>[2,1,1,2,2,1] [1,2,2,1,2,1]=>[1,2,1,2,2,1] [1,2,2,1,3]=>[3,1,2,2,1] [1,2,2,2,1,1]=>[1,1,2,2,2,1] [1,2,2,2,2]=>[2,2,2,2,1] [1,2,2,3,1]=>[1,3,2,2,1] [1,2,2,4]=>[4,2,2,1] [1,2,3,1,1,1]=>[1,1,1,3,2,1] [1,2,3,1,2]=>[2,1,3,2,1] [1,2,3,2,1]=>[1,2,3,2,1] [1,2,3,3]=>[3,3,2,1] [1,2,4,1,1]=>[1,1,4,2,1] [1,2,4,2]=>[2,4,2,1] [1,2,5,1]=>[1,5,2,1] [1,2,6]=>[6,2,1] [1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1] [1,3,1,1,1,2]=>[2,1,1,1,3,1] [1,3,1,1,2,1]=>[1,2,1,1,3,1] [1,3,1,1,3]=>[3,1,1,3,1] [1,3,1,2,1,1]=>[1,1,2,1,3,1] [1,3,1,2,2]=>[2,2,1,3,1] [1,3,1,3,1]=>[1,3,1,3,1] [1,3,1,4]=>[4,1,3,1] [1,3,2,1,1,1]=>[1,1,1,2,3,1] [1,3,2,1,2]=>[2,1,2,3,1] [1,3,2,2,1]=>[1,2,2,3,1] [1,3,2,3]=>[3,2,3,1] [1,3,3,1,1]=>[1,1,3,3,1] [1,3,3,2]=>[2,3,3,1] [1,3,4,1]=>[1,4,3,1] [1,3,5]=>[5,3,1] [1,4,1,1,1,1]=>[1,1,1,1,4,1] [1,4,1,1,2]=>[2,1,1,4,1] [1,4,1,2,1]=>[1,2,1,4,1] [1,4,1,3]=>[3,1,4,1] [1,4,2,1,1]=>[1,1,2,4,1] [1,4,2,2]=>[2,2,4,1] [1,4,3,1]=>[1,3,4,1] [1,4,4]=>[4,4,1] [1,5,1,1,1]=>[1,1,1,5,1] [1,5,1,2]=>[2,1,5,1] [1,5,2,1]=>[1,2,5,1] [1,5,3]=>[3,5,1] [1,6,1,1]=>[1,1,6,1] [1,6,2]=>[2,6,1] [1,7,1]=>[1,7,1] [1,8]=>[8,1] [2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2] [2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2] [2,1,1,1,1,2,1]=>[1,2,1,1,1,1,2] [2,1,1,1,1,3]=>[3,1,1,1,1,2] [2,1,1,1,2,1,1]=>[1,1,2,1,1,1,2] [2,1,1,1,2,2]=>[2,2,1,1,1,2] [2,1,1,1,3,1]=>[1,3,1,1,1,2] [2,1,1,1,4]=>[4,1,1,1,2] [2,1,1,2,1,1,1]=>[1,1,1,2,1,1,2] [2,1,1,2,1,2]=>[2,1,2,1,1,2] [2,1,1,2,2,1]=>[1,2,2,1,1,2] [2,1,1,2,3]=>[3,2,1,1,2] [2,1,1,3,1,1]=>[1,1,3,1,1,2] [2,1,1,3,2]=>[2,3,1,1,2] [2,1,1,4,1]=>[1,4,1,1,2] [2,1,1,5]=>[5,1,1,2] [2,1,2,1,1,1,1]=>[1,1,1,1,2,1,2] [2,1,2,1,1,2]=>[2,1,1,2,1,2] [2,1,2,1,2,1]=>[1,2,1,2,1,2] [2,1,2,1,3]=>[3,1,2,1,2] [2,1,2,2,1,1]=>[1,1,2,2,1,2] [2,1,2,2,2]=>[2,2,2,1,2] [2,1,2,3,1]=>[1,3,2,1,2] [2,1,2,4]=>[4,2,1,2] [2,1,3,1,1,1]=>[1,1,1,3,1,2] [2,1,3,1,2]=>[2,1,3,1,2] [2,1,3,2,1]=>[1,2,3,1,2] [2,1,3,3]=>[3,3,1,2] [2,1,4,1,1]=>[1,1,4,1,2] [2,1,4,2]=>[2,4,1,2] [2,1,5,1]=>[1,5,1,2] [2,1,6]=>[6,1,2] [2,2,1,1,1,1,1]=>[1,1,1,1,1,2,2] [2,2,1,1,1,2]=>[2,1,1,1,2,2] [2,2,1,1,2,1]=>[1,2,1,1,2,2] [2,2,1,1,3]=>[3,1,1,2,2] [2,2,1,2,1,1]=>[1,1,2,1,2,2] [2,2,1,2,2]=>[2,2,1,2,2] [2,2,1,3,1]=>[1,3,1,2,2] [2,2,1,4]=>[4,1,2,2] [2,2,2,1,1,1]=>[1,1,1,2,2,2] [2,2,2,1,2]=>[2,1,2,2,2] [2,2,2,2,1]=>[1,2,2,2,2] [2,2,2,3]=>[3,2,2,2] [2,2,3,1,1]=>[1,1,3,2,2] [2,2,3,2]=>[2,3,2,2] [2,2,4,1]=>[1,4,2,2] [2,2,5]=>[5,2,2] [2,3,1,1,1,1]=>[1,1,1,1,3,2] [2,3,1,1,2]=>[2,1,1,3,2] [2,3,1,2,1]=>[1,2,1,3,2] [2,3,1,3]=>[3,1,3,2] [2,3,2,1,1]=>[1,1,2,3,2] [2,3,2,2]=>[2,2,3,2] [2,3,3,1]=>[1,3,3,2] [2,3,4]=>[4,3,2] [2,4,1,1,1]=>[1,1,1,4,2] [2,4,1,2]=>[2,1,4,2] [2,4,2,1]=>[1,2,4,2] [2,4,3]=>[3,4,2] [2,5,1,1]=>[1,1,5,2] [2,5,2]=>[2,5,2] [2,6,1]=>[1,6,2] [2,7]=>[7,2] [3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3] [3,1,1,1,1,2]=>[2,1,1,1,1,3] [3,1,1,1,2,1]=>[1,2,1,1,1,3] [3,1,1,1,3]=>[3,1,1,1,3] [3,1,1,2,1,1]=>[1,1,2,1,1,3] [3,1,1,2,2]=>[2,2,1,1,3] [3,1,1,3,1]=>[1,3,1,1,3] [3,1,1,4]=>[4,1,1,3] [3,1,2,1,1,1]=>[1,1,1,2,1,3] [3,1,2,1,2]=>[2,1,2,1,3] [3,1,2,2,1]=>[1,2,2,1,3] [3,1,2,3]=>[3,2,1,3] [3,1,3,1,1]=>[1,1,3,1,3] [3,1,3,2]=>[2,3,1,3] [3,1,4,1]=>[1,4,1,3] [3,1,5]=>[5,1,3] [3,2,1,1,1,1]=>[1,1,1,1,2,3] [3,2,1,1,2]=>[2,1,1,2,3] [3,2,1,2,1]=>[1,2,1,2,3] [3,2,1,3]=>[3,1,2,3] [3,2,2,1,1]=>[1,1,2,2,3] [3,2,2,2]=>[2,2,2,3] [3,2,3,1]=>[1,3,2,3] [3,2,4]=>[4,2,3] [3,3,1,1,1]=>[1,1,1,3,3] [3,3,1,2]=>[2,1,3,3] [3,3,2,1]=>[1,2,3,3] [3,3,3]=>[3,3,3] [3,4,1,1]=>[1,1,4,3] [3,4,2]=>[2,4,3] [3,5,1]=>[1,5,3] [3,6]=>[6,3] [4,1,1,1,1,1]=>[1,1,1,1,1,4] [4,1,1,1,2]=>[2,1,1,1,4] [4,1,1,2,1]=>[1,2,1,1,4] [4,1,1,3]=>[3,1,1,4] [4,1,2,1,1]=>[1,1,2,1,4] [4,1,2,2]=>[2,2,1,4] [4,1,3,1]=>[1,3,1,4] [4,1,4]=>[4,1,4] [4,2,1,1,1]=>[1,1,1,2,4] [4,2,1,2]=>[2,1,2,4] [4,2,2,1]=>[1,2,2,4] [4,2,3]=>[3,2,4] [4,3,1,1]=>[1,1,3,4] [4,3,2]=>[2,3,4] [4,4,1]=>[1,4,4] [4,5]=>[5,4] [5,1,1,1,1]=>[1,1,1,1,5] [5,1,1,2]=>[2,1,1,5] [5,1,2,1]=>[1,2,1,5] [5,1,3]=>[3,1,5] [5,2,1,1]=>[1,1,2,5] [5,2,2]=>[2,2,5] [5,3,1]=>[1,3,5] [5,4]=>[4,5] [6,1,1,1]=>[1,1,1,6] [6,1,2]=>[2,1,6] [6,2,1]=>[1,2,6] [6,3]=>[3,6] [7,1,1]=>[1,1,7] [7,2]=>[2,7] [8,1]=>[1,8] [9]=>[9] [1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,1] [1,1,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,1,1] [1,1,1,1,1,1,2,2]=>[2,2,1,1,1,1,1,1] [1,1,1,1,1,1,3,1]=>[1,3,1,1,1,1,1,1] [1,1,1,1,1,1,4]=>[4,1,1,1,1,1,1] [1,1,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,1,1] [1,1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1,1] [1,1,1,1,1,2,2,1]=>[1,2,2,1,1,1,1,1] [1,1,1,1,1,2,3]=>[3,2,1,1,1,1,1] [1,1,1,1,1,3,1,1]=>[1,1,3,1,1,1,1,1] [1,1,1,1,1,3,2]=>[2,3,1,1,1,1,1] [1,1,1,1,1,4,1]=>[1,4,1,1,1,1,1] [1,1,1,1,1,5]=>[5,1,1,1,1,1] [1,1,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,1,1] [1,1,1,1,2,1,1,2]=>[2,1,1,2,1,1,1,1] [1,1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1,1] [1,1,1,1,2,1,3]=>[3,1,2,1,1,1,1] [1,1,1,1,2,2,1,1]=>[1,1,2,2,1,1,1,1] [1,1,1,1,2,2,2]=>[2,2,2,1,1,1,1] [1,1,1,1,2,3,1]=>[1,3,2,1,1,1,1] [1,1,1,1,2,4]=>[4,2,1,1,1,1] [1,1,1,1,3,1,1,1]=>[1,1,1,3,1,1,1,1] [1,1,1,1,3,1,2]=>[2,1,3,1,1,1,1] [1,1,1,1,3,2,1]=>[1,2,3,1,1,1,1] [1,1,1,1,3,3]=>[3,3,1,1,1,1] [1,1,1,1,4,1,1]=>[1,1,4,1,1,1,1] [1,1,1,1,4,2]=>[2,4,1,1,1,1] [1,1,1,1,5,1]=>[1,5,1,1,1,1] [1,1,1,1,6]=>[6,1,1,1,1] [1,1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1,1] [1,1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1,1] [1,1,1,2,1,1,2,1]=>[1,2,1,1,2,1,1,1] [1,1,1,2,1,1,3]=>[3,1,1,2,1,1,1] [1,1,1,2,1,2,1,1]=>[1,1,2,1,2,1,1,1] [1,1,1,2,1,2,2]=>[2,2,1,2,1,1,1] [1,1,1,2,1,3,1]=>[1,3,1,2,1,1,1] [1,1,1,2,1,4]=>[4,1,2,1,1,1] [1,1,1,2,2,1,1,1]=>[1,1,1,2,2,1,1,1] [1,1,1,2,2,1,2]=>[2,1,2,2,1,1,1] [1,1,1,2,2,2,1]=>[1,2,2,2,1,1,1] [1,1,1,2,2,3]=>[3,2,2,1,1,1] [1,1,1,2,3,1,1]=>[1,1,3,2,1,1,1] [1,1,1,2,3,2]=>[2,3,2,1,1,1] [1,1,1,2,4,1]=>[1,4,2,1,1,1] [1,1,1,2,5]=>[5,2,1,1,1] [1,1,1,3,1,1,1,1]=>[1,1,1,1,3,1,1,1] [1,1,1,3,1,1,2]=>[2,1,1,3,1,1,1] [1,1,1,3,1,2,1]=>[1,2,1,3,1,1,1] [1,1,1,3,1,3]=>[3,1,3,1,1,1] [1,1,1,3,2,1,1]=>[1,1,2,3,1,1,1] [1,1,1,3,2,2]=>[2,2,3,1,1,1] [1,1,1,3,3,1]=>[1,3,3,1,1,1] [1,1,1,3,4]=>[4,3,1,1,1] [1,1,1,4,1,1,1]=>[1,1,1,4,1,1,1] [1,1,1,4,1,2]=>[2,1,4,1,1,1] [1,1,1,4,2,1]=>[1,2,4,1,1,1] [1,1,1,4,3]=>[3,4,1,1,1] [1,1,1,5,1,1]=>[1,1,5,1,1,1] [1,1,1,5,2]=>[2,5,1,1,1] [1,1,1,6,1]=>[1,6,1,1,1] [1,1,1,7]=>[7,1,1,1] [1,1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1,1] [1,1,2,1,1,1,1,2]=>[2,1,1,1,1,2,1,1] [1,1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1,1] [1,1,2,1,1,1,3]=>[3,1,1,1,2,1,1] [1,1,2,1,1,2,1,1]=>[1,1,2,1,1,2,1,1] [1,1,2,1,1,2,2]=>[2,2,1,1,2,1,1] [1,1,2,1,1,3,1]=>[1,3,1,1,2,1,1] [1,1,2,1,1,4]=>[4,1,1,2,1,1] [1,1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1,1] [1,1,2,1,2,1,2]=>[2,1,2,1,2,1,1] [1,1,2,1,2,2,1]=>[1,2,2,1,2,1,1] [1,1,2,1,2,3]=>[3,2,1,2,1,1] [1,1,2,1,3,1,1]=>[1,1,3,1,2,1,1] [1,1,2,1,3,2]=>[2,3,1,2,1,1] [1,1,2,1,4,1]=>[1,4,1,2,1,1] [1,1,2,1,5]=>[5,1,2,1,1] [1,1,2,2,1,1,1,1]=>[1,1,1,1,2,2,1,1] [1,1,2,2,1,1,2]=>[2,1,1,2,2,1,1] [1,1,2,2,1,2,1]=>[1,2,1,2,2,1,1] [1,1,2,2,1,3]=>[3,1,2,2,1,1] [1,1,2,2,2,1,1]=>[1,1,2,2,2,1,1] [1,1,2,2,2,2]=>[2,2,2,2,1,1] [1,1,2,2,3,1]=>[1,3,2,2,1,1] [1,1,2,2,4]=>[4,2,2,1,1] [1,1,2,3,1,1,1]=>[1,1,1,3,2,1,1] [1,1,2,3,1,2]=>[2,1,3,2,1,1] [1,1,2,3,2,1]=>[1,2,3,2,1,1] [1,1,2,3,3]=>[3,3,2,1,1] [1,1,2,4,1,1]=>[1,1,4,2,1,1] [1,1,2,4,2]=>[2,4,2,1,1] [1,1,2,5,1]=>[1,5,2,1,1] [1,1,2,6]=>[6,2,1,1] [1,1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1,1] [1,1,3,1,1,1,2]=>[2,1,1,1,3,1,1] [1,1,3,1,1,2,1]=>[1,2,1,1,3,1,1] [1,1,3,1,1,3]=>[3,1,1,3,1,1] [1,1,3,1,2,1,1]=>[1,1,2,1,3,1,1] [1,1,3,1,2,2]=>[2,2,1,3,1,1] [1,1,3,1,3,1]=>[1,3,1,3,1,1] [1,1,3,1,4]=>[4,1,3,1,1] [1,1,3,2,1,1,1]=>[1,1,1,2,3,1,1] [1,1,3,2,1,2]=>[2,1,2,3,1,1] [1,1,3,2,2,1]=>[1,2,2,3,1,1] [1,1,3,2,3]=>[3,2,3,1,1] [1,1,3,3,1,1]=>[1,1,3,3,1,1] [1,1,3,3,2]=>[2,3,3,1,1] [1,1,3,4,1]=>[1,4,3,1,1] [1,1,3,5]=>[5,3,1,1] [1,1,4,1,1,1,1]=>[1,1,1,1,4,1,1] [1,1,4,1,1,2]=>[2,1,1,4,1,1] [1,1,4,1,2,1]=>[1,2,1,4,1,1] [1,1,4,1,3]=>[3,1,4,1,1] [1,1,4,2,1,1]=>[1,1,2,4,1,1] [1,1,4,2,2]=>[2,2,4,1,1] [1,1,4,3,1]=>[1,3,4,1,1] [1,1,4,4]=>[4,4,1,1] [1,1,5,1,1,1]=>[1,1,1,5,1,1] [1,1,5,1,2]=>[2,1,5,1,1] [1,1,5,2,1]=>[1,2,5,1,1] [1,1,5,3]=>[3,5,1,1] [1,1,6,1,1]=>[1,1,6,1,1] [1,1,6,2]=>[2,6,1,1] [1,1,7,1]=>[1,7,1,1] [1,1,8]=>[8,1,1] [1,2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2,1] [1,2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2,1] [1,2,1,1,1,1,2,1]=>[1,2,1,1,1,1,2,1] [1,2,1,1,1,1,3]=>[3,1,1,1,1,2,1] [1,2,1,1,1,2,1,1]=>[1,1,2,1,1,1,2,1] [1,2,1,1,1,2,2]=>[2,2,1,1,1,2,1] [1,2,1,1,1,3,1]=>[1,3,1,1,1,2,1] [1,2,1,1,1,4]=>[4,1,1,1,2,1] [1,2,1,1,2,1,1,1]=>[1,1,1,2,1,1,2,1] [1,2,1,1,2,1,2]=>[2,1,2,1,1,2,1] [1,2,1,1,2,2,1]=>[1,2,2,1,1,2,1] [1,2,1,1,2,3]=>[3,2,1,1,2,1] [1,2,1,1,3,1,1]=>[1,1,3,1,1,2,1] [1,2,1,1,3,2]=>[2,3,1,1,2,1] [1,2,1,1,4,1]=>[1,4,1,1,2,1] [1,2,1,1,5]=>[5,1,1,2,1] [1,2,1,2,1,1,1,1]=>[1,1,1,1,2,1,2,1] [1,2,1,2,1,1,2]=>[2,1,1,2,1,2,1] [1,2,1,2,1,2,1]=>[1,2,1,2,1,2,1] [1,2,1,2,1,3]=>[3,1,2,1,2,1] [1,2,1,2,2,1,1]=>[1,1,2,2,1,2,1] [1,2,1,2,2,2]=>[2,2,2,1,2,1] [1,2,1,2,3,1]=>[1,3,2,1,2,1] [1,2,1,2,4]=>[4,2,1,2,1] [1,2,1,3,1,1,1]=>[1,1,1,3,1,2,1] [1,2,1,3,1,2]=>[2,1,3,1,2,1] [1,2,1,3,2,1]=>[1,2,3,1,2,1] [1,2,1,3,3]=>[3,3,1,2,1] [1,2,1,4,1,1]=>[1,1,4,1,2,1] [1,2,1,4,2]=>[2,4,1,2,1] [1,2,1,5,1]=>[1,5,1,2,1] [1,2,1,6]=>[6,1,2,1] [1,2,2,1,1,1,1,1]=>[1,1,1,1,1,2,2,1] [1,2,2,1,1,1,2]=>[2,1,1,1,2,2,1] [1,2,2,1,1,2,1]=>[1,2,1,1,2,2,1] [1,2,2,1,1,3]=>[3,1,1,2,2,1] [1,2,2,1,2,1,1]=>[1,1,2,1,2,2,1] [1,2,2,1,2,2]=>[2,2,1,2,2,1] [1,2,2,1,3,1]=>[1,3,1,2,2,1] [1,2,2,1,4]=>[4,1,2,2,1] [1,2,2,2,1,1,1]=>[1,1,1,2,2,2,1] [1,2,2,2,1,2]=>[2,1,2,2,2,1] [1,2,2,2,2,1]=>[1,2,2,2,2,1] [1,2,2,2,3]=>[3,2,2,2,1] [1,2,2,3,1,1]=>[1,1,3,2,2,1] [1,2,2,3,2]=>[2,3,2,2,1] [1,2,2,4,1]=>[1,4,2,2,1] [1,2,2,5]=>[5,2,2,1] [1,2,3,1,1,1,1]=>[1,1,1,1,3,2,1] [1,2,3,1,1,2]=>[2,1,1,3,2,1] [1,2,3,1,2,1]=>[1,2,1,3,2,1] [1,2,3,1,3]=>[3,1,3,2,1] [1,2,3,2,1,1]=>[1,1,2,3,2,1] [1,2,3,2,2]=>[2,2,3,2,1] [1,2,3,3,1]=>[1,3,3,2,1] [1,2,3,4]=>[4,3,2,1] [1,2,4,1,1,1]=>[1,1,1,4,2,1] [1,2,4,1,2]=>[2,1,4,2,1] [1,2,4,2,1]=>[1,2,4,2,1] [1,2,4,3]=>[3,4,2,1] [1,2,5,1,1]=>[1,1,5,2,1] [1,2,5,2]=>[2,5,2,1] [1,2,6,1]=>[1,6,2,1] [1,2,7]=>[7,2,1] [1,3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3,1] [1,3,1,1,1,1,2]=>[2,1,1,1,1,3,1] [1,3,1,1,1,2,1]=>[1,2,1,1,1,3,1] [1,3,1,1,1,3]=>[3,1,1,1,3,1] [1,3,1,1,2,1,1]=>[1,1,2,1,1,3,1] [1,3,1,1,2,2]=>[2,2,1,1,3,1] [1,3,1,1,3,1]=>[1,3,1,1,3,1] [1,3,1,1,4]=>[4,1,1,3,1] [1,3,1,2,1,1,1]=>[1,1,1,2,1,3,1] [1,3,1,2,1,2]=>[2,1,2,1,3,1] [1,3,1,2,2,1]=>[1,2,2,1,3,1] [1,3,1,2,3]=>[3,2,1,3,1] [1,3,1,3,1,1]=>[1,1,3,1,3,1] [1,3,1,3,2]=>[2,3,1,3,1] [1,3,1,4,1]=>[1,4,1,3,1] [1,3,1,5]=>[5,1,3,1] [1,3,2,1,1,1,1]=>[1,1,1,1,2,3,1] [1,3,2,1,1,2]=>[2,1,1,2,3,1] [1,3,2,1,2,1]=>[1,2,1,2,3,1] [1,3,2,1,3]=>[3,1,2,3,1] [1,3,2,2,1,1]=>[1,1,2,2,3,1] [1,3,2,2,2]=>[2,2,2,3,1] [1,3,2,3,1]=>[1,3,2,3,1] [1,3,2,4]=>[4,2,3,1] [1,3,3,1,1,1]=>[1,1,1,3,3,1] [1,3,3,1,2]=>[2,1,3,3,1] [1,3,3,2,1]=>[1,2,3,3,1] [1,3,3,3]=>[3,3,3,1] [1,3,4,1,1]=>[1,1,4,3,1] [1,3,4,2]=>[2,4,3,1] [1,3,5,1]=>[1,5,3,1] [1,3,6]=>[6,3,1] [1,4,1,1,1,1,1]=>[1,1,1,1,1,4,1] [1,4,1,1,1,2]=>[2,1,1,1,4,1] [1,4,1,1,2,1]=>[1,2,1,1,4,1] [1,4,1,1,3]=>[3,1,1,4,1] [1,4,1,2,1,1]=>[1,1,2,1,4,1] [1,4,1,2,2]=>[2,2,1,4,1] [1,4,1,3,1]=>[1,3,1,4,1] [1,4,1,4]=>[4,1,4,1] [1,4,2,1,1,1]=>[1,1,1,2,4,1] [1,4,2,1,2]=>[2,1,2,4,1] [1,4,2,2,1]=>[1,2,2,4,1] [1,4,2,3]=>[3,2,4,1] [1,4,3,1,1]=>[1,1,3,4,1] [1,4,3,2]=>[2,3,4,1] [1,4,4,1]=>[1,4,4,1] [1,4,5]=>[5,4,1] [1,5,1,1,1,1]=>[1,1,1,1,5,1] [1,5,1,1,2]=>[2,1,1,5,1] [1,5,1,2,1]=>[1,2,1,5,1] [1,5,1,3]=>[3,1,5,1] [1,5,2,1,1]=>[1,1,2,5,1] [1,5,2,2]=>[2,2,5,1] [1,5,3,1]=>[1,3,5,1] [1,5,4]=>[4,5,1] [1,6,1,1,1]=>[1,1,1,6,1] [1,6,1,2]=>[2,1,6,1] [1,6,2,1]=>[1,2,6,1] [1,6,3]=>[3,6,1] [1,7,1,1]=>[1,1,7,1] [1,7,2]=>[2,7,1] [1,8,1]=>[1,8,1] [1,9]=>[9,1] [2,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,2] [2,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,2] [2,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,2] [2,1,1,1,1,1,3]=>[3,1,1,1,1,1,2] [2,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,2] [2,1,1,1,1,2,2]=>[2,2,1,1,1,1,2] [2,1,1,1,1,3,1]=>[1,3,1,1,1,1,2] [2,1,1,1,1,4]=>[4,1,1,1,1,2] [2,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,2] [2,1,1,1,2,1,2]=>[2,1,2,1,1,1,2] [2,1,1,1,2,2,1]=>[1,2,2,1,1,1,2] [2,1,1,1,2,3]=>[3,2,1,1,1,2] [2,1,1,1,3,1,1]=>[1,1,3,1,1,1,2] [2,1,1,1,3,2]=>[2,3,1,1,1,2] [2,1,1,1,4,1]=>[1,4,1,1,1,2] [2,1,1,1,5]=>[5,1,1,1,2] [2,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,2] [2,1,1,2,1,1,2]=>[2,1,1,2,1,1,2] [2,1,1,2,1,2,1]=>[1,2,1,2,1,1,2] [2,1,1,2,1,3]=>[3,1,2,1,1,2] [2,1,1,2,2,1,1]=>[1,1,2,2,1,1,2] [2,1,1,2,2,2]=>[2,2,2,1,1,2] [2,1,1,2,3,1]=>[1,3,2,1,1,2] [2,1,1,2,4]=>[4,2,1,1,2] [2,1,1,3,1,1,1]=>[1,1,1,3,1,1,2] [2,1,1,3,1,2]=>[2,1,3,1,1,2] [2,1,1,3,2,1]=>[1,2,3,1,1,2] [2,1,1,3,3]=>[3,3,1,1,2] [2,1,1,4,1,1]=>[1,1,4,1,1,2] [2,1,1,4,2]=>[2,4,1,1,2] [2,1,1,5,1]=>[1,5,1,1,2] [2,1,1,6]=>[6,1,1,2] [2,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,2] [2,1,2,1,1,1,2]=>[2,1,1,1,2,1,2] [2,1,2,1,1,2,1]=>[1,2,1,1,2,1,2] [2,1,2,1,1,3]=>[3,1,1,2,1,2] [2,1,2,1,2,1,1]=>[1,1,2,1,2,1,2] [2,1,2,1,2,2]=>[2,2,1,2,1,2] [2,1,2,1,3,1]=>[1,3,1,2,1,2] [2,1,2,1,4]=>[4,1,2,1,2] [2,1,2,2,1,1,1]=>[1,1,1,2,2,1,2] [2,1,2,2,1,2]=>[2,1,2,2,1,2] [2,1,2,2,2,1]=>[1,2,2,2,1,2] [2,1,2,2,3]=>[3,2,2,1,2] [2,1,2,3,1,1]=>[1,1,3,2,1,2] [2,1,2,3,2]=>[2,3,2,1,2] [2,1,2,4,1]=>[1,4,2,1,2] [2,1,2,5]=>[5,2,1,2] [2,1,3,1,1,1,1]=>[1,1,1,1,3,1,2] [2,1,3,1,1,2]=>[2,1,1,3,1,2] [2,1,3,1,2,1]=>[1,2,1,3,1,2] [2,1,3,1,3]=>[3,1,3,1,2] [2,1,3,2,1,1]=>[1,1,2,3,1,2] [2,1,3,2,2]=>[2,2,3,1,2] [2,1,3,3,1]=>[1,3,3,1,2] [2,1,3,4]=>[4,3,1,2] [2,1,4,1,1,1]=>[1,1,1,4,1,2] [2,1,4,1,2]=>[2,1,4,1,2] [2,1,4,2,1]=>[1,2,4,1,2] [2,1,4,3]=>[3,4,1,2] [2,1,5,1,1]=>[1,1,5,1,2] [2,1,5,2]=>[2,5,1,2] [2,1,6,1]=>[1,6,1,2] [2,1,7]=>[7,1,2] [2,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,2] [2,2,1,1,1,1,2]=>[2,1,1,1,1,2,2] [2,2,1,1,1,2,1]=>[1,2,1,1,1,2,2] [2,2,1,1,1,3]=>[3,1,1,1,2,2] [2,2,1,1,2,1,1]=>[1,1,2,1,1,2,2] [2,2,1,1,2,2]=>[2,2,1,1,2,2] [2,2,1,1,3,1]=>[1,3,1,1,2,2] [2,2,1,1,4]=>[4,1,1,2,2] [2,2,1,2,1,1,1]=>[1,1,1,2,1,2,2] [2,2,1,2,1,2]=>[2,1,2,1,2,2] [2,2,1,2,2,1]=>[1,2,2,1,2,2] [2,2,1,2,3]=>[3,2,1,2,2] [2,2,1,3,1,1]=>[1,1,3,1,2,2] [2,2,1,3,2]=>[2,3,1,2,2] [2,2,1,4,1]=>[1,4,1,2,2] [2,2,1,5]=>[5,1,2,2] [2,2,2,1,1,1,1]=>[1,1,1,1,2,2,2] [2,2,2,1,1,2]=>[2,1,1,2,2,2] [2,2,2,1,2,1]=>[1,2,1,2,2,2] [2,2,2,1,3]=>[3,1,2,2,2] [2,2,2,2,1,1]=>[1,1,2,2,2,2] [2,2,2,2,2]=>[2,2,2,2,2] [2,2,2,3,1]=>[1,3,2,2,2] [2,2,2,4]=>[4,2,2,2] [2,2,3,1,1,1]=>[1,1,1,3,2,2] [2,2,3,1,2]=>[2,1,3,2,2] [2,2,3,2,1]=>[1,2,3,2,2] [2,2,3,3]=>[3,3,2,2] [2,2,4,1,1]=>[1,1,4,2,2] [2,2,4,2]=>[2,4,2,2] [2,2,5,1]=>[1,5,2,2] [2,2,6]=>[6,2,2] [2,3,1,1,1,1,1]=>[1,1,1,1,1,3,2] [2,3,1,1,1,2]=>[2,1,1,1,3,2] [2,3,1,1,2,1]=>[1,2,1,1,3,2] [2,3,1,1,3]=>[3,1,1,3,2] [2,3,1,2,1,1]=>[1,1,2,1,3,2] [2,3,1,2,2]=>[2,2,1,3,2] [2,3,1,3,1]=>[1,3,1,3,2] [2,3,1,4]=>[4,1,3,2] [2,3,2,1,1,1]=>[1,1,1,2,3,2] [2,3,2,1,2]=>[2,1,2,3,2] [2,3,2,2,1]=>[1,2,2,3,2] [2,3,2,3]=>[3,2,3,2] [2,3,3,1,1]=>[1,1,3,3,2] [2,3,3,2]=>[2,3,3,2] [2,3,4,1]=>[1,4,3,2] [2,3,5]=>[5,3,2] [2,4,1,1,1,1]=>[1,1,1,1,4,2] [2,4,1,1,2]=>[2,1,1,4,2] [2,4,1,2,1]=>[1,2,1,4,2] [2,4,1,3]=>[3,1,4,2] [2,4,2,1,1]=>[1,1,2,4,2] [2,4,2,2]=>[2,2,4,2] [2,4,3,1]=>[1,3,4,2] [2,4,4]=>[4,4,2] [2,5,1,1,1]=>[1,1,1,5,2] [2,5,1,2]=>[2,1,5,2] [2,5,2,1]=>[1,2,5,2] [2,5,3]=>[3,5,2] [2,6,1,1]=>[1,1,6,2] [2,6,2]=>[2,6,2] [2,7,1]=>[1,7,2] [2,8]=>[8,2] [3,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,3] [3,1,1,1,1,1,2]=>[2,1,1,1,1,1,3] [3,1,1,1,1,2,1]=>[1,2,1,1,1,1,3] [3,1,1,1,1,3]=>[3,1,1,1,1,3] [3,1,1,1,2,1,1]=>[1,1,2,1,1,1,3] [3,1,1,1,2,2]=>[2,2,1,1,1,3] [3,1,1,1,3,1]=>[1,3,1,1,1,3] [3,1,1,1,4]=>[4,1,1,1,3] [3,1,1,2,1,1,1]=>[1,1,1,2,1,1,3] [3,1,1,2,1,2]=>[2,1,2,1,1,3] [3,1,1,2,2,1]=>[1,2,2,1,1,3] [3,1,1,2,3]=>[3,2,1,1,3] [3,1,1,3,1,1]=>[1,1,3,1,1,3] [3,1,1,3,2]=>[2,3,1,1,3] [3,1,1,4,1]=>[1,4,1,1,3] [3,1,1,5]=>[5,1,1,3] [3,1,2,1,1,1,1]=>[1,1,1,1,2,1,3] [3,1,2,1,1,2]=>[2,1,1,2,1,3] [3,1,2,1,2,1]=>[1,2,1,2,1,3] [3,1,2,1,3]=>[3,1,2,1,3] [3,1,2,2,1,1]=>[1,1,2,2,1,3] [3,1,2,2,2]=>[2,2,2,1,3] [3,1,2,3,1]=>[1,3,2,1,3] [3,1,2,4]=>[4,2,1,3] [3,1,3,1,1,1]=>[1,1,1,3,1,3] [3,1,3,1,2]=>[2,1,3,1,3] [3,1,3,2,1]=>[1,2,3,1,3] [3,1,3,3]=>[3,3,1,3] [3,1,4,1,1]=>[1,1,4,1,3] [3,1,4,2]=>[2,4,1,3] [3,1,5,1]=>[1,5,1,3] [3,1,6]=>[6,1,3] [3,2,1,1,1,1,1]=>[1,1,1,1,1,2,3] [3,2,1,1,1,2]=>[2,1,1,1,2,3] [3,2,1,1,2,1]=>[1,2,1,1,2,3] [3,2,1,1,3]=>[3,1,1,2,3] [3,2,1,2,1,1]=>[1,1,2,1,2,3] [3,2,1,2,2]=>[2,2,1,2,3] [3,2,1,3,1]=>[1,3,1,2,3] [3,2,1,4]=>[4,1,2,3] [3,2,2,1,1,1]=>[1,1,1,2,2,3] [3,2,2,1,2]=>[2,1,2,2,3] [3,2,2,2,1]=>[1,2,2,2,3] [3,2,2,3]=>[3,2,2,3] [3,2,3,1,1]=>[1,1,3,2,3] [3,2,3,2]=>[2,3,2,3] [3,2,4,1]=>[1,4,2,3] [3,2,5]=>[5,2,3] [3,3,1,1,1,1]=>[1,1,1,1,3,3] [3,3,1,1,2]=>[2,1,1,3,3] [3,3,1,2,1]=>[1,2,1,3,3] [3,3,1,3]=>[3,1,3,3] [3,3,2,1,1]=>[1,1,2,3,3] [3,3,2,2]=>[2,2,3,3] [3,3,3,1]=>[1,3,3,3] [3,3,4]=>[4,3,3] [3,4,1,1,1]=>[1,1,1,4,3] [3,4,1,2]=>[2,1,4,3] [3,4,2,1]=>[1,2,4,3] [3,4,3]=>[3,4,3] [3,5,1,1]=>[1,1,5,3] [3,5,2]=>[2,5,3] [3,6,1]=>[1,6,3] [3,7]=>[7,3] [4,1,1,1,1,1,1]=>[1,1,1,1,1,1,4] [4,1,1,1,1,2]=>[2,1,1,1,1,4] [4,1,1,1,2,1]=>[1,2,1,1,1,4] [4,1,1,1,3]=>[3,1,1,1,4] [4,1,1,2,1,1]=>[1,1,2,1,1,4] [4,1,1,2,2]=>[2,2,1,1,4] [4,1,1,3,1]=>[1,3,1,1,4] [4,1,1,4]=>[4,1,1,4] [4,1,2,1,1,1]=>[1,1,1,2,1,4] [4,1,2,1,2]=>[2,1,2,1,4] [4,1,2,2,1]=>[1,2,2,1,4] [4,1,2,3]=>[3,2,1,4] [4,1,3,1,1]=>[1,1,3,1,4] [4,1,3,2]=>[2,3,1,4] [4,1,4,1]=>[1,4,1,4] [4,1,5]=>[5,1,4] [4,2,1,1,1,1]=>[1,1,1,1,2,4] [4,2,1,1,2]=>[2,1,1,2,4] [4,2,1,2,1]=>[1,2,1,2,4] [4,2,1,3]=>[3,1,2,4] [4,2,2,1,1]=>[1,1,2,2,4] [4,2,2,2]=>[2,2,2,4] [4,2,3,1]=>[1,3,2,4] [4,2,4]=>[4,2,4] [4,3,1,1,1]=>[1,1,1,3,4] [4,3,1,2]=>[2,1,3,4] [4,3,2,1]=>[1,2,3,4] [4,3,3]=>[3,3,4] [4,4,1,1]=>[1,1,4,4] [4,4,2]=>[2,4,4] [4,5,1]=>[1,5,4] [4,6]=>[6,4] [5,1,1,1,1,1]=>[1,1,1,1,1,5] [5,1,1,1,2]=>[2,1,1,1,5] [5,1,1,2,1]=>[1,2,1,1,5] [5,1,1,3]=>[3,1,1,5] [5,1,2,1,1]=>[1,1,2,1,5] [5,1,2,2]=>[2,2,1,5] [5,1,3,1]=>[1,3,1,5] [5,1,4]=>[4,1,5] [5,2,1,1,1]=>[1,1,1,2,5] [5,2,1,2]=>[2,1,2,5] [5,2,2,1]=>[1,2,2,5] [5,2,3]=>[3,2,5] [5,3,1,1]=>[1,1,3,5] [5,3,2]=>[2,3,5] [5,4,1]=>[1,4,5] [5,5]=>[5,5] [6,1,1,1,1]=>[1,1,1,1,6] [6,1,1,2]=>[2,1,1,6] [6,1,2,1]=>[1,2,1,6] [6,1,3]=>[3,1,6] [6,2,1,1]=>[1,1,2,6] [6,2,2]=>[2,2,6] [6,3,1]=>[1,3,6] [6,4]=>[4,6] [7,1,1,1]=>[1,1,1,7] [7,1,2]=>[2,1,7] [7,2,1]=>[1,2,7] [7,3]=>[3,7] [8,1,1]=>[1,1,8] [8,2]=>[2,8] [9,1]=>[1,9] [10]=>[10] [1,2,2,2,2,2]=>[2,2,2,2,2,1] [1,1,1,1,1,6]=>[6,1,1,1,1,1] [1,1,1,1,5,2]=>[2,5,1,1,1,1] [1,1,1,2,1,5]=>[5,1,2,1,1,1] [1,1,1,1,2,5]=>[5,2,1,1,1,1] [1,1,1,4,2,2]=>[2,2,4,1,1,1] [1,1,2,1,1,5]=>[5,1,1,2,1,1] [1,1,2,1,4,2]=>[2,4,1,2,1,1] [1,1,2,2,1,4]=>[4,1,2,2,1,1] [1,1,2,1,2,4]=>[4,2,1,2,1,1] [1,1,1,2,4,2]=>[2,4,2,1,1,1] [1,1,1,3,1,4]=>[4,1,3,1,1,1] [1,1,1,1,3,4]=>[4,3,1,1,1,1] [1,1,1,2,2,4]=>[4,2,2,1,1,1] [1,1,3,2,2,2]=>[2,2,2,3,1,1] [1,2,1,1,1,5]=>[5,1,1,1,2,1] [1,2,1,1,4,2]=>[2,4,1,1,2,1] [1,2,1,2,1,4]=>[4,1,2,1,2,1] [1,2,1,1,2,4]=>[4,2,1,1,2,1] [1,2,1,3,2,2]=>[2,2,3,1,2,1] [1,2,2,1,1,4]=>[4,1,1,2,2,1] [1,2,2,1,3,2]=>[2,3,1,2,2,1] [1,2,2,2,1,3]=>[3,1,2,2,2,1] [1,2,2,1,2,3]=>[3,2,1,2,2,1] [1,2,1,2,3,2]=>[2,3,2,1,2,1] [1,1,1,4,1,3]=>[3,1,4,1,1,1] [1,1,1,1,4,3]=>[3,4,1,1,1,1] [1,2,1,2,2,3]=>[3,2,2,1,2,1] [1,1,2,3,2,2]=>[2,2,3,2,1,1] [1,1,3,1,1,4]=>[4,1,1,3,1,1] [1,1,3,1,3,2]=>[2,3,1,3,1,1] [1,1,3,2,1,3]=>[3,1,2,3,1,1] [1,1,3,1,2,3]=>[3,2,1,3,1,1] [1,1,1,3,3,2]=>[2,3,3,1,1,1] [1,2,1,3,1,3]=>[3,1,3,1,2,1] [1,2,1,1,3,3]=>[3,3,1,1,2,1] [1,1,1,3,2,3]=>[3,2,3,1,1,1] [1,1,2,2,3,2]=>[2,3,2,2,1,1] [1,1,2,3,1,3]=>[3,1,3,2,1,1] [1,1,2,1,3,3]=>[3,3,1,2,1,1] [1,1,1,2,3,3]=>[3,3,2,1,1,1] [1,1,2,2,2,3]=>[3,2,2,2,1,1] [2,2,2,2,2,1]=>[1,2,2,2,2,2] [3,1,2,2,2,1]=>[1,2,2,2,1,3] [2,3,1,2,2,1]=>[1,2,2,1,3,2] [3,2,1,2,2,1]=>[1,2,2,1,2,3] [4,1,1,2,2,1]=>[1,2,2,1,1,4] [2,2,3,1,2,1]=>[1,2,1,3,2,2] [3,1,3,1,2,1]=>[1,2,1,3,1,3] [2,3,2,1,2,1]=>[1,2,1,2,3,2] [3,2,2,1,2,1]=>[1,2,1,2,2,3] [4,1,2,1,2,1]=>[1,2,1,2,1,4] [2,4,1,1,2,1]=>[1,2,1,1,4,2] [3,3,1,1,2,1]=>[1,2,1,1,3,3] [4,2,1,1,2,1]=>[1,2,1,1,2,4] [5,1,1,1,2,1]=>[1,2,1,1,1,5] [2,2,2,3,1,1]=>[1,1,3,2,2,2] [3,1,2,3,1,1]=>[1,1,3,2,1,3] [2,3,1,3,1,1]=>[1,1,3,1,3,2] [3,2,1,3,1,1]=>[1,1,3,1,2,3] [4,1,1,3,1,1]=>[1,1,3,1,1,4] [2,2,3,2,1,1]=>[1,1,2,3,2,2] [3,1,3,2,1,1]=>[1,1,2,3,1,3] [2,3,2,2,1,1]=>[1,1,2,2,3,2] [3,2,2,2,1,1]=>[1,1,2,2,2,3] [4,1,2,2,1,1]=>[1,1,2,2,1,4] [2,4,1,2,1,1]=>[1,1,2,1,4,2] [3,3,1,2,1,1]=>[1,1,2,1,3,3] [4,2,1,2,1,1]=>[1,1,2,1,2,4] [5,1,1,2,1,1]=>[1,1,2,1,1,5] [2,2,4,1,1,1]=>[1,1,1,4,2,2] [3,1,4,1,1,1]=>[1,1,1,4,1,3] [2,3,3,1,1,1]=>[1,1,1,3,3,2] [3,2,3,1,1,1]=>[1,1,1,3,2,3] [4,1,3,1,1,1]=>[1,1,1,3,1,4] [2,4,2,1,1,1]=>[1,1,1,2,4,2] [3,3,2,1,1,1]=>[1,1,1,2,3,3] [4,2,2,1,1,1]=>[1,1,1,2,2,4] [5,1,2,1,1,1]=>[1,1,1,2,1,5] [2,5,1,1,1,1]=>[1,1,1,1,5,2] [3,4,1,1,1,1]=>[1,1,1,1,4,3] [4,3,1,1,1,1]=>[1,1,1,1,3,4] [5,2,1,1,1,1]=>[1,1,1,1,2,5] [6,1,1,1,1,1]=>[1,1,1,1,1,6] [2,1,2,2,2,2]=>[2,2,2,2,1,2] [2,1,2,2,1,3]=>[3,1,2,2,1,2] [3,1,2,2,1,2]=>[2,1,2,2,1,3] [2,1,2,1,3,2]=>[2,3,1,2,1,2] [3,1,2,1,3,1]=>[1,3,1,2,1,3] [2,1,2,1,2,3]=>[3,2,1,2,1,2] [3,1,2,1,2,2]=>[2,2,1,2,1,3] [2,1,2,1,1,4]=>[4,1,1,2,1,2] [3,1,2,1,1,3]=>[3,1,1,2,1,3] [4,1,2,1,1,2]=>[2,1,1,2,1,4] [2,1,1,3,2,2]=>[2,2,3,1,1,2] [3,1,1,3,2,1]=>[1,2,3,1,1,3] [2,1,1,3,1,3]=>[3,1,3,1,1,2] [3,1,1,3,1,2]=>[2,1,3,1,1,3] [2,1,1,2,3,2]=>[2,3,2,1,1,2] [3,1,1,2,3,1]=>[1,3,2,1,1,3] [2,1,1,2,2,3]=>[3,2,2,1,1,2] [3,1,1,2,2,2]=>[2,2,2,1,1,3] [2,1,1,2,1,4]=>[4,1,2,1,1,2] [3,1,1,2,1,3]=>[3,1,2,1,1,3] [4,1,1,2,1,2]=>[2,1,2,1,1,4] [2,1,1,1,4,2]=>[2,4,1,1,1,2] [3,1,1,1,4,1]=>[1,4,1,1,1,3] [2,1,1,1,3,3]=>[3,3,1,1,1,2] [3,1,1,1,3,2]=>[2,3,1,1,1,3] [4,1,1,1,3,1]=>[1,3,1,1,1,4] [2,1,1,1,2,4]=>[4,2,1,1,1,2] [3,1,1,1,2,3]=>[3,2,1,1,1,3] [4,1,1,1,2,2]=>[2,2,1,1,1,4] [2,1,1,1,1,5]=>[5,1,1,1,1,2] [3,1,1,1,1,4]=>[4,1,1,1,1,3] [4,1,1,1,1,3]=>[3,1,1,1,1,4] [5,1,1,1,1,2]=>[2,1,1,1,1,5] [2,2,2,1,3,1]=>[1,3,1,2,2,2] [2,2,1,3,2,1]=>[1,2,3,1,2,2] [2,2,1,2,3,1]=>[1,3,2,1,2,2] [2,2,1,1,4,1]=>[1,4,1,1,2,2] [2,1,3,2,2,1]=>[1,2,2,3,1,2] [2,1,3,1,3,1]=>[1,3,1,3,1,2] [2,1,2,3,2,1]=>[1,2,3,2,1,2] [2,1,2,2,3,1]=>[1,3,2,2,1,2] [2,1,2,1,4,1]=>[1,4,1,2,1,2] [2,1,1,4,2,1]=>[1,2,4,1,1,2] [2,1,1,3,3,1]=>[1,3,3,1,1,2] [2,1,1,2,4,1]=>[1,4,2,1,1,2] [2,1,1,1,5,1]=>[1,5,1,1,1,2] [1,3,2,2,2,1]=>[1,2,2,2,3,1] [1,3,2,1,3,1]=>[1,3,1,2,3,1] [1,3,1,3,2,1]=>[1,2,3,1,3,1] [1,3,1,2,3,1]=>[1,3,2,1,3,1] [1,3,1,1,4,1]=>[1,4,1,1,3,1] [1,2,3,2,2,1]=>[1,2,2,3,2,1] [1,2,3,1,3,1]=>[1,3,1,3,2,1] [1,2,2,3,2,1]=>[1,2,3,2,2,1] [1,2,2,2,3,1]=>[1,3,2,2,2,1] [1,2,2,1,4,1]=>[1,4,1,2,2,1] [1,2,1,4,2,1]=>[1,2,4,1,2,1] [1,2,1,3,3,1]=>[1,3,3,1,2,1] [1,2,1,2,4,1]=>[1,4,2,1,2,1] [1,2,1,1,5,1]=>[1,5,1,1,2,1] [1,1,4,2,2,1]=>[1,2,2,4,1,1] [1,1,4,1,3,1]=>[1,3,1,4,1,1] [1,1,3,3,2,1]=>[1,2,3,3,1,1] [1,1,3,2,3,1]=>[1,3,2,3,1,1] [1,1,3,1,4,1]=>[1,4,1,3,1,1] [1,1,2,4,2,1]=>[1,2,4,2,1,1] [1,1,2,3,3,1]=>[1,3,3,2,1,1] [1,1,2,2,4,1]=>[1,4,2,2,1,1] [1,1,2,1,5,1]=>[1,5,1,2,1,1] [1,1,1,5,2,1]=>[1,2,5,1,1,1] [1,1,1,4,3,1]=>[1,3,4,1,1,1] [1,1,1,3,4,1]=>[1,4,3,1,1,1] [1,1,1,2,5,1]=>[1,5,2,1,1,1] [1,1,1,1,6,1]=>[1,6,1,1,1,1] [2,2,1,2,2,2]=>[2,2,2,1,2,2] [1,3,1,2,1,3]=>[3,1,2,1,3,1] [2,2,1,2,1,3]=>[3,1,2,1,2,2] [3,2,1,2,1,2]=>[2,1,2,1,2,3] [2,2,1,1,3,2]=>[2,3,1,1,2,2] [1,3,1,1,2,3]=>[3,2,1,1,3,1] [2,2,1,1,2,3]=>[3,2,1,1,2,2] [2,3,1,1,2,2]=>[2,2,1,1,3,2] [3,2,1,1,2,2]=>[2,2,1,1,2,3] [1,3,1,1,1,4]=>[4,1,1,1,3,1] [2,2,1,1,1,4]=>[4,1,1,1,2,2] [1,4,1,1,1,3]=>[3,1,1,1,4,1] [2,3,1,1,1,3]=>[3,1,1,1,3,2] [3,2,1,1,1,3]=>[3,1,1,1,2,3] [2,2,2,2,1,2]=>[2,1,2,2,2,2] [2,2,2,1,2,2]=>[2,2,1,2,2,2] [2,2,2,1,1,3]=>[3,1,1,2,2,2] [2,2,1,3,1,2]=>[2,1,3,1,2,2] [2,1,3,2,1,2]=>[2,1,2,3,1,2] [2,1,3,1,2,2]=>[2,2,1,3,1,2] [2,1,3,1,1,3]=>[3,1,1,3,1,2] [2,1,2,3,1,2]=>[2,1,3,2,1,2] [2,1,1,4,1,2]=>[2,1,4,1,1,2] [1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,3,1]=>[1,3,1,1,1,1,1,1,1] [1,1,1,1,1,3,1,1,1]=>[1,1,1,3,1,1,1,1,1] [1,1,1,1,1,5,1]=>[1,5,1,1,1,1,1] [1,1,1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1,1,1] [1,1,1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1,1,1] [1,1,1,3,1,3,1]=>[1,3,1,3,1,1,1] [1,1,1,5,1,1,1]=>[1,1,1,5,1,1,1] [1,1,1,7,1]=>[1,7,1,1,1] [1,1,1,4,1,2,1]=>[1,2,1,4,1,1,1] [1,1,1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1,1,1] [1,1,1,2,1,4,1]=>[1,4,1,2,1,1,1] [1,1,1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1,1,1] [1,1,1,2,3,2,1]=>[1,2,3,2,1,1,1] [1,3,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,3,1] [1,3,1,1,1,3,1]=>[1,3,1,1,1,3,1] [1,3,1,3,1,1,1]=>[1,1,1,3,1,3,1] [1,3,1,5,1]=>[1,5,1,3,1] [1,3,1,2,1,2,1]=>[1,2,1,2,1,3,1] [1,5,1,1,1,1,1]=>[1,1,1,1,1,5,1] [1,5,1,3,1]=>[1,3,1,5,1] [1,7,1,1,1]=>[1,1,1,7,1] [1,9,1]=>[1,9,1] [1,6,1,2,1]=>[1,2,1,6,1] [1,4,1,2,1,1,1]=>[1,1,1,2,1,4,1] [1,4,1,4,1]=>[1,4,1,4,1] [1,4,1,1,1,2,1]=>[1,2,1,1,1,4,1] [1,4,3,2,1]=>[1,2,3,4,1] [1,2,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,2,1] [1,2,1,2,1,3,1]=>[1,3,1,2,1,2,1] [1,2,1,4,1,1,1]=>[1,1,1,4,1,2,1] [1,2,1,6,1]=>[1,6,1,2,1] [1,2,1,3,1,2,1]=>[1,2,1,3,1,2,1] [1,2,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,2,1] [1,2,1,1,1,4,1]=>[1,4,1,1,1,2,1] [1,2,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,2,1] [1,2,1,1,3,2,1]=>[1,2,3,1,1,2,1] [1,2,3,2,1,1,1]=>[1,1,1,2,3,2,1] [1,2,3,4,1]=>[1,4,3,2,1] [1,2,3,1,1,2,1]=>[1,2,1,1,3,2,1] [1,2,5,2,1]=>[1,2,5,2,1] [1,2,2,1,2,2,1]=>[1,2,2,1,2,2,1] [1,1,1,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,1,1,1] [10,1]=>[1,10] [1,10]=>[10,1] [1,8,1,1]=>[1,1,8,1] [1,7,2,1]=>[1,2,7,1] [1,6,3,1]=>[1,3,6,1] [1,5,4,1]=>[1,4,5,1] [1,4,5,1]=>[1,5,4,1] [1,3,6,1]=>[1,6,3,1] [1,2,7,1]=>[1,7,2,1] [1,1,8,1]=>[1,8,1,1] [1,8,2]=>[2,8,1] [1,7,1,2]=>[2,1,7,1] [1,6,1,1,2]=>[2,1,1,6,1] [1,5,1,1,1,2]=>[2,1,1,1,5,1] [1,4,1,1,1,1,2]=>[2,1,1,1,1,4,1] [1,3,1,1,1,1,1,2]=>[2,1,1,1,1,1,3,1] [1,2,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,1,1] [1,7,3]=>[3,7,1] [1,6,2,2]=>[2,2,6,1] [1,5,2,1,2]=>[2,1,2,5,1] [1,4,2,1,1,2]=>[2,1,1,2,4,1] [1,3,2,1,1,1,2]=>[2,1,1,1,2,3,1] [1,2,2,1,1,1,1,2]=>[2,1,1,1,1,2,2,1] [1,1,2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2,1,1] [2,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,2] [2,9]=>[9,2] [1,1,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1,1,1] [11]=>[11] [3,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,3] [9,2]=>[2,9] [3,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,3] [2,2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2,2] [2,1,2,1,1,1,1,2]=>[2,1,1,1,1,2,1,2] [2,1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1,2] [2,1,1,1,2,1,1,2]=>[2,1,1,2,1,1,1,2] [2,1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1,2] [2,1,1,1,1,1,2,2]=>[2,2,1,1,1,1,1,2] [2,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,2] [1,1,1,8]=>[8,1,1,1] [1,1,2,7]=>[7,2,1,1] [1,1,3,6]=>[6,3,1,1] [1,1,4,5]=>[5,4,1,1] [1,1,5,4]=>[4,5,1,1] [1,1,6,3]=>[3,6,1,1] [1,1,7,2]=>[2,7,1,1] [2,7,1,1]=>[1,1,7,2] [3,6,1,1]=>[1,1,6,3] [4,5,1,1]=>[1,1,5,4] [5,4,1,1]=>[1,1,4,5] [6,3,1,1]=>[1,1,3,6] [7,2,1,1]=>[1,1,2,7] [8,1,1,1]=>[1,1,1,8] [2,1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1,2] [2,1,1,1,1,1,3,1]=>[1,3,1,1,1,1,1,2] [2,1,1,1,1,4,1]=>[1,4,1,1,1,1,2] [2,1,1,6,1]=>[1,6,1,1,2] [2,1,7,1]=>[1,7,1,2] [2,8,1]=>[1,8,2] [2,1,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,1,2] [2,1,1,1,1,2,2,1]=>[1,2,2,1,1,1,1,2] [2,1,1,1,2,3,1]=>[1,3,2,1,1,1,2] [2,1,2,5,1]=>[1,5,2,1,2] [2,2,6,1]=>[1,6,2,2] [3,7,1]=>[1,7,3] [2,1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1,2] [2,1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1,2] [2,1,4,1,1,1,1]=>[1,1,1,1,4,1,2] [2,1,5,1,1,1]=>[1,1,1,5,1,2] [2,1,6,1,1]=>[1,1,6,1,2] [2,1,8]=>[8,1,2] [2,1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1,2] [2,1,2,2,1,1,1,1]=>[1,1,1,1,2,2,1,2] [2,1,3,2,1,1,1]=>[1,1,1,2,3,1,2] [2,1,4,2,1,1]=>[1,1,2,4,1,2] [2,1,5,2,1]=>[1,2,5,1,2] [2,1,6,2]=>[2,6,1,2] [3,1,7]=>[7,1,3] [3,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,3] [4,1,1,1,1,2,1]=>[1,2,1,1,1,1,4] [6,1,1,2,1]=>[1,2,1,1,6] [7,1,2,1]=>[1,2,1,7] [8,2,1]=>[1,2,8] [2,2,1,1,1,1,2,1]=>[1,2,1,1,1,1,2,2] [3,2,1,1,1,2,1]=>[1,2,1,1,1,2,3] [5,2,1,2,1]=>[1,2,1,2,5] [6,2,2,1]=>[1,2,2,6] [7,3,1]=>[1,3,7] [1,4,1,1,3,1]=>[1,3,1,1,4,1] [1,5,1,1,2,1]=>[1,2,1,1,5,1] [1,6,1,1,1,1]=>[1,1,1,1,6,1] [9,1,1]=>[1,1,9] [1,1,1,2,1,1,1,1,2]=>[2,1,1,1,1,2,1,1,1] [1,1,1,3,1,1,1,2]=>[2,1,1,1,3,1,1,1] [1,1,2,3,1,1,2]=>[2,1,1,3,2,1,1] [1,1,3,3,1,2]=>[2,1,3,3,1,1] [1,1,4,3,2]=>[2,3,4,1,1] [2,6,3]=>[3,6,2] [1,1,9]=>[9,1,1] [2,2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2,2] [2,3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3,2] [2,4,1,1,1,1,1]=>[1,1,1,1,1,4,2] [2,6,1,1,1]=>[1,1,1,6,2] [2,2,2,1,1,1,1,1]=>[1,1,1,1,1,2,2,2] [2,3,2,1,1,1,1]=>[1,1,1,1,2,3,2] [2,5,2,1,1]=>[1,1,2,5,2] [2,6,2,1]=>[1,2,6,2] [2,7,2]=>[2,7,2] [1,2,2,2,2,1,1]=>[1,1,2,2,2,2,1] [1,1,1,2,2,2,1,1]=>[1,1,2,2,2,1,1,1] [1,1,3,2,2,1,1]=>[1,1,2,2,3,1,1] [1,1,2,1,2,2,1,1]=>[1,1,2,2,1,2,1,1] [1,1,2,3,2,1,1]=>[1,1,2,3,2,1,1] [1,1,2,2,1,2,1,1]=>[1,1,2,1,2,2,1,1] [1,1,2,2,3,1,1]=>[1,1,3,2,2,1,1] [1,1,2,2,2,1,1,1]=>[1,1,1,2,2,2,1,1] [1,1,2,2,2,2,1]=>[1,2,2,2,2,1,1] [1,4,2,2,1,1]=>[1,1,2,2,4,1] [1,1,1,1,1,2,2,1,1]=>[1,1,2,2,1,1,1,1,1] [1,1,5,2,1,1]=>[1,1,2,5,1,1] [1,1,2,1,1,1,2,1,1]=>[1,1,2,1,1,1,2,1,1] [1,1,2,5,1,1]=>[1,1,5,2,1,1] [1,1,2,2,1,1,1,1,1]=>[1,1,1,1,1,2,2,1,1] [1,2,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,2,1] [2,2,2,2,3]=>[3,2,2,2,2] [3,2,2,2,2]=>[2,2,2,2,3] [2,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,2] [8,1,2]=>[2,1,8] [2,2,3,2,2]=>[2,2,3,2,2] [2,3,2,2,2]=>[2,2,2,3,2] [1,1,1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1,1,1] [8,3]=>[3,8] [4,2,2,2,1]=>[1,2,2,2,4] [1,1,1,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,1,1,1] [4,4,3]=>[3,4,4] [2,1,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,1,2] [1,1,1,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,1,1,1] [4,1,5,1]=>[1,5,1,4] [1,5,1,4]=>[4,1,5,1] [1,4,1,2,1,2]=>[2,1,2,1,4,1] [3,1,5,1,1]=>[1,1,5,1,3] [1,4,1,3,1,1]=>[1,1,3,1,4,1] [1,1,5,1,3]=>[3,1,5,1,1] [2,1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1,2] [1,1,2,1,1,1,3,1]=>[1,3,1,1,1,2,1,1] [2,1,1,1,4,1,1]=>[1,1,4,1,1,1,2] [1,3,1,1,1,2,1,1]=>[1,1,2,1,1,1,3,1] [2,1,5,1,2]=>[2,1,5,1,2] [1,3,1,3,1,2]=>[2,1,3,1,3,1] [1,1,4,1,1,1,2]=>[2,1,1,1,4,1,1] [1,2,1,2,1,1,1,2]=>[2,1,1,1,2,1,2,1] [2,1,1,1,3,1,1,1]=>[1,1,1,3,1,1,1,2] [2,1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1,2] [1,1,2,1,2,1,2,1]=>[1,2,1,2,1,2,1,1] [1,1,1,1,2,1,3,1]=>[1,3,1,2,1,1,1,1] [2,1,2,1,3,1,1]=>[1,1,3,1,2,1,2] [1,1,2,1,4,1,1]=>[1,1,4,1,2,1,1] [1,3,1,2,1,1,1,1]=>[1,1,1,1,2,1,3,1] [1,1,4,1,2,1,1]=>[1,1,2,1,4,1,1] [1,2,1,2,1,2,1,1]=>[1,1,2,1,2,1,2,1] [1,1,1,1,4,1,2]=>[2,1,4,1,1,1,1] [1,1,3,1,2,1,2]=>[2,1,2,1,3,1,1] [1,2,1,1,1,2,1,2]=>[2,1,2,1,1,1,2,1] [7,1,1,2]=>[2,1,1,7] [1,1,1,1,1,3,1,2]=>[2,1,3,1,1,1,1,1] [1,1,1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1,1,1] [1,1,3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3,1,1] [1,1,1,1,1,1,3,1,1]=>[1,1,3,1,1,1,1,1,1] [6,4,1]=>[1,4,6] [1,2,1,3,1,1,1,1]=>[1,1,1,1,3,1,2,1] [2,1,2,1,5]=>[5,1,2,1,2] [2,1,1,1,2,1,3]=>[3,1,2,1,1,1,2] [6,2,1,2]=>[2,1,2,6] [1,1,1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1,1,1] [4,6,1]=>[1,6,4] [2,1,1,4,3]=>[3,4,1,1,2] [1,1,3,1,1,1,2,1]=>[1,2,1,1,1,3,1,1] [6,1,1,1,2]=>[2,1,1,1,6] [4,1,1,1,1,1,2]=>[2,1,1,1,1,1,4] [7,2,2]=>[2,2,7] [5,2,1,1,2]=>[2,1,1,2,5] [4,2,1,1,1,2]=>[2,1,1,1,2,4] [3,2,1,1,1,1,2]=>[2,1,1,1,1,2,3] [3,2,2,1,3]=>[3,1,2,2,3] [3,2,1,2,3]=>[3,2,1,2,3] [3,1,2,2,3]=>[3,2,2,1,3] [5,3,1,1,1]=>[1,1,1,3,5] [4,4,1,1,1]=>[1,1,1,4,4] [5,2,2,2]=>[2,2,2,5] [2,2,2,1,4]=>[4,1,2,2,2] [2,2,1,2,4]=>[4,2,1,2,2] [2,1,2,2,4]=>[4,2,2,1,2] [4,3,2,2]=>[2,2,3,4] [1,2,2,3,1,2]=>[2,1,3,2,2,1] [1,2,3,1,2,2]=>[2,2,1,3,2,1] [1,2,3,2,1,2]=>[2,1,2,3,2,1] [1,2,4,1,1,2]=>[2,1,1,4,2,1] [1,3,1,2,2,2]=>[2,2,2,1,3,1] [1,3,2,1,2,2]=>[2,2,1,2,3,1] [1,3,2,2,1,2]=>[2,1,2,2,3,1] [1,3,3,1,1,2]=>[2,1,1,3,3,1] [1,4,1,1,2,2]=>[2,2,1,1,4,1] [5,4,2]=>[2,4,5] [5,3,3]=>[3,3,5] [5,3,2,1]=>[1,2,3,5] [5,2,2,1,1]=>[1,1,2,2,5] [4,4,2,1]=>[1,2,4,4] [4,3,3,1]=>[1,3,3,4] [4,3,2,1,1]=>[1,1,2,3,4] [3,3,3,2]=>[2,3,3,3] [3,3,3,1,1]=>[1,1,3,3,3] [3,3,2,2,1]=>[1,2,2,3,3] [2,1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1,2] [3,1,2,1,2,1,1]=>[1,1,2,1,2,1,3] [3,1,3,1,1,1,1]=>[1,1,1,1,3,1,3] [4,1,3,1,2]=>[2,1,3,1,4] [1,1,1,2,1,2,1,2]=>[2,1,2,1,2,1,1,1] [1,1,2,1,2,1,3]=>[3,1,2,1,2,1,1] [1,1,1,1,3,1,3]=>[3,1,3,1,1,1,1] [2,1,3,1,4]=>[4,1,3,1,2] [2,1,4,1,2,1]=>[1,2,1,4,1,2] [1,1,1,1,3,1,1,1,1]=>[1,1,1,1,3,1,1,1,1] [1,1,2,1,2,1,1,1,1]=>[1,1,1,1,2,1,2,1,1] [1,1,3,1,3,1,1]=>[1,1,3,1,3,1,1] [1,1,1,1,2,1,2,1,1]=>[1,1,2,1,2,1,1,1,1] [3,2,1,1,4]=>[4,1,1,2,3] [2,2,1,1,5]=>[5,1,1,2,2] [4,1,1,1,4]=>[4,1,1,1,4] [3,1,1,1,5]=>[5,1,1,1,3] [1,1,2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2,1,1] [1,1,3,1,2,1,1,1]=>[1,1,1,2,1,3,1,1] [1,1,2,1,3,1,1,1]=>[1,1,1,3,1,2,1,1] [1,1,1,1,3,1,2,1]=>[1,2,1,3,1,1,1,1] [2,1,3,1,2,1,1]=>[1,1,2,1,3,1,2] [1,1,1,2,1,3,1,1]=>[1,1,3,1,2,1,1,1] [1,2,1,1,1,3,1,1]=>[1,1,3,1,1,1,2,1] [1,3,1,4,1,1]=>[1,1,4,1,3,1] [1,1,1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1,1,1] [1,1,1,3,1,2,1,1]=>[1,1,2,1,3,1,1,1] [3,1,1,1,3,1,1]=>[1,1,3,1,1,1,3] [4,1,4,1,1]=>[1,1,4,1,4] [1,1,2,1,3,1,2]=>[2,1,3,1,2,1,1] [1,2,1,4,1,2]=>[2,1,4,1,2,1] [2,1,2,1,2,1,2]=>[2,1,2,1,2,1,2] [2,1,1,1,3,1,2]=>[2,1,3,1,1,1,2] [3,1,4,1,2]=>[2,1,4,1,3] [2,1,3,1,1,1,2]=>[2,1,1,1,3,1,2] [3,1,2,1,1,1,2]=>[2,1,1,1,2,1,3] [3,1,1,1,2,1,2]=>[2,1,2,1,1,1,3] [2,1,4,1,3]=>[3,1,4,1,2] [3,1,3,1,3]=>[3,1,3,1,3] [1,1,3,1,1,1,3]=>[3,1,1,1,3,1,1] [2,1,2,1,1,1,3]=>[3,1,1,1,2,1,2] [3,1,1,1,1,1,3]=>[3,1,1,1,1,1,3] [4,1,2,1,3]=>[3,1,2,1,4] [1,1,4,1,4]=>[4,1,4,1,1] [3,1,2,1,4]=>[4,1,2,1,3] [5,1,5]=>[5,1,5] [2,1,1,1,6]=>[6,1,1,1,2] [2,3,1,3,2]=>[2,3,1,3,2] [2,1,3,3,2]=>[2,3,3,1,2] [3,1,1,3,3]=>[3,3,1,1,3] [5,5,1]=>[1,5,5] [2,1,3,2,3]=>[3,2,3,1,2] [2,2,3,1,3]=>[3,1,3,2,2] [2,1,1,2,5]=>[5,2,1,1,2] [3,1,1,2,4]=>[4,2,1,1,3] [2,1,1,3,4]=>[4,3,1,1,2] [2,1,1,5,2]=>[2,5,1,1,2] [2,3,1,1,4]=>[4,1,1,3,2] [2,2,1,4,2]=>[2,4,1,2,2] [3,2,1,3,2]=>[2,3,1,2,3] [3,1,3,2,2]=>[2,2,3,1,3] [3,1,2,3,2]=>[2,3,2,1,3] [3,1,1,4,2]=>[2,4,1,1,3] [2,3,2,1,3]=>[3,1,2,3,2] [2,3,1,2,3]=>[3,2,1,3,2] [2,2,2,3,2]=>[2,3,2,2,2] [2,2,1,3,3]=>[3,3,1,2,2] [2,1,4,2,2]=>[2,2,4,1,2] [2,1,2,4,2]=>[2,4,2,1,2] [2,1,2,3,3]=>[3,3,2,1,2] [5,5,1,1]=>[1,1,5,5] [1,1,5,5]=>[5,5,1,1] [1,11]=>[11,1] [1,9,2]=>[2,9,1] [1,8,1,2]=>[2,1,8,1] [1,7,1,1,2]=>[2,1,1,7,1] [1,6,1,1,1,2]=>[2,1,1,1,6,1] [1,5,1,1,1,1,2]=>[2,1,1,1,1,5,1] [1,4,1,1,1,1,1,2]=>[2,1,1,1,1,1,4,1] [1,3,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,3,1] [1,2,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,1,1,1] [1,1,4,1,1,4]=>[4,1,1,4,1,1] [4,1,1,4,1,1]=>[1,1,4,1,1,4] [1,1,3,1,2,4]=>[4,2,1,3,1,1] [1,1,4,2,1,3]=>[3,1,2,4,1,1] [3,1,2,4,1,1]=>[1,1,4,2,1,3] [4,2,1,3,1,1]=>[1,1,3,1,2,4] [1,1,2,1,3,4]=>[4,3,1,2,1,1] [1,1,3,1,1,1,1,3]=>[3,1,1,1,1,3,1,1] [1,1,4,3,1,2]=>[2,1,3,4,1,1] [2,2,4,4]=>[4,4,2,2] [2,1,3,4,1,1]=>[1,1,4,3,1,2] [3,1,1,1,1,3,1,1]=>[1,1,3,1,1,1,1,3] [4,4,2,2]=>[2,2,4,4] [4,3,1,2,1,1]=>[1,1,2,1,3,4] [1,1,1,1,4,4]=>[4,4,1,1,1,1] [1,1,2,1,2,1,1,3]=>[3,1,1,2,1,2,1,1] [1,1,3,2,2,3]=>[3,2,2,3,1,1] [1,1,3,1,1,2,1,2]=>[2,1,2,1,1,3,1,1] [1,1,4,4,1,1]=>[1,1,4,4,1,1] [2,2,3,1,1,3]=>[3,1,1,3,2,2] [2,1,2,1,1,3,1,1]=>[1,1,3,1,1,2,1,2] [3,3,3,3]=>[3,3,3,3] [3,2,2,3,1,1]=>[1,1,3,2,2,3] [3,1,1,3,2,2]=>[2,2,3,1,1,3] [3,1,1,2,1,2,1,1]=>[1,1,2,1,2,1,1,3] [4,4,1,1,1,1]=>[1,1,1,1,4,4] [1,1,1,1,3,1,1,3]=>[3,1,1,3,1,1,1,1] [1,1,2,1,1,1,2,3]=>[3,2,1,1,1,2,1,1] [1,1,2,1,2,2,1,2]=>[2,1,2,2,1,2,1,1] [1,1,3,2,1,1,1,2]=>[2,1,1,1,2,3,1,1] [1,1,3,1,1,3,1,1]=>[1,1,3,1,1,3,1,1] [2,2,2,1,2,3]=>[3,2,1,2,2,2] [2,2,3,2,1,2]=>[2,1,2,3,2,2] [2,1,1,2,3,3]=>[3,3,2,1,1,2] [2,1,1,1,2,3,1,1]=>[1,1,3,2,1,1,1,2] [2,1,2,3,2,2]=>[2,2,3,2,1,2] [2,1,2,2,1,2,1,1]=>[1,1,2,1,2,2,1,2] [3,3,2,1,1,2]=>[2,1,1,2,3,3] [3,2,1,2,2,2]=>[2,2,2,1,2,3] [3,2,1,1,1,2,1,1]=>[1,1,2,1,1,1,2,3] [3,1,1,3,1,1,1,1]=>[1,1,1,1,3,1,1,3] [2,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,2] [2,1,1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1,1,2] [2,1,1,1,1,1,1,3,1]=>[1,3,1,1,1,1,1,1,2] [2,1,1,1,1,1,4,1]=>[1,4,1,1,1,1,1,2] [2,1,1,1,1,5,1]=>[1,5,1,1,1,1,2] [2,1,1,1,6,1]=>[1,6,1,1,1,2] [2,1,1,7,1]=>[1,7,1,1,2] [2,1,8,1]=>[1,8,1,2] [2,9,1]=>[1,9,2] [11,1]=>[1,11] [2,1,2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2,1,2] [2,1,3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3,1,2] [2,1,4,1,1,1,1,1]=>[1,1,1,1,1,4,1,2] [2,1,5,1,1,1,1]=>[1,1,1,1,5,1,2] [2,1,6,1,1,1]=>[1,1,1,6,1,2] [2,1,7,1,1]=>[1,1,7,1,2] [2,1,9]=>[9,1,2] [1,1,1,1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1,1,1,1] [3,1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1,3] [4,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,4] [5,1,1,1,1,2,1]=>[1,2,1,1,1,1,5] [6,1,1,1,2,1]=>[1,2,1,1,1,6] [7,1,1,2,1]=>[1,2,1,1,7] [8,1,2,1]=>[1,2,1,8] [9,2,1]=>[1,2,9] [1,1,2,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,2,1,1] [1,2,2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2,2,1] [1,3,2,1,1,1,1,2]=>[2,1,1,1,1,2,3,1] [1,4,2,1,1,1,2]=>[2,1,1,1,2,4,1] [1,5,2,1,1,2]=>[2,1,1,2,5,1] [1,6,2,1,2]=>[2,1,2,6,1] [1,7,2,2]=>[2,2,7,1] [1,8,3]=>[3,8,1] [10,2]=>[2,10] [2,2,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,2,2] [2,3,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,3,2] [2,4,1,1,1,1,1,1]=>[1,1,1,1,1,1,4,2] [2,5,1,1,1,1,1]=>[1,1,1,1,1,5,2] [2,6,1,1,1,1]=>[1,1,1,1,6,2] [2,7,1,1,1]=>[1,1,1,7,2] [2,8,1,1]=>[1,1,8,2] [2,10]=>[10,2] [1,2,2,2,2,3]=>[3,2,2,2,2,1] [1,1,1,2,2,2,3]=>[3,2,2,2,1,1,1] [1,1,2,1,2,2,3]=>[3,2,2,1,2,1,1] [1,1,2,3,2,3]=>[3,2,3,2,1,1] [1,1,2,2,1,2,3]=>[3,2,1,2,2,1,1] [1,1,2,2,3,3]=>[3,3,2,2,1,1] [1,1,2,2,2,1,3]=>[3,1,2,2,2,1,1] [1,1,2,2,2,4]=>[4,2,2,2,1,1] [1,1,2,2,2,2,2]=>[2,2,2,2,2,1,1] [1,1,1,1,1,1,2,1,1,2]=>[2,1,1,2,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,2,2]=>[2,2,1,1,1,1,1,1,1,1] [2,2,1,1,2,1,1,2]=>[2,1,1,2,1,1,2,2] [2,2,1,1,1,1,2,2]=>[2,2,1,1,1,1,2,2] [2,1,1,2,2,1,1,2]=>[2,1,1,2,2,1,1,2] [1,1,2,2,2,1,1,2]=>[2,1,1,2,2,2,1,1] [2,1,1,2,1,1,2,2]=>[2,2,1,1,2,1,1,2] [1,1,2,2,1,1,2,2]=>[2,2,1,1,2,2,1,1] [1,1,1,1,3,2,1,2]=>[2,1,2,3,1,1,1,1] [1,1,2,1,1,2,2,2]=>[2,2,2,1,1,2,1,1] [3,3,1,1,2,2]=>[2,2,1,1,3,3] [1,1,1,1,2,1,1,1,1,2]=>[2,1,1,1,1,2,1,1,1,1] [1,1,1,1,2,2,2,2]=>[2,2,2,2,1,1,1,1] [3,2,2,2,1,2]=>[2,1,2,2,2,3] [2,1,1,1,2,2,1,2]=>[2,1,2,2,1,1,1,2] [1,1,1,1,2,1,2,3]=>[3,2,1,2,1,1,1,1] [3,2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2,3] [2,1,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,1,2] [2,1,1,1,1,2,2,2]=>[2,2,2,1,1,1,1,2] [2,2,2,1,1,1,1,2]=>[2,1,1,1,1,2,2,2] [2,2,2,2,2,2]=>[2,2,2,2,2,2] [1,1,1,1,1,1,3,3]=>[3,3,1,1,1,1,1,1] [3,1,2,3,1,2]=>[2,1,3,2,1,3] [2,1,3,3,1,2]=>[2,1,3,3,1,2] [3,1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1,3] [2,1,2,1,1,2,1,2]=>[2,1,2,1,1,2,1,2] [3,1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1,3] [2,1,2,2,1,1,1,2]=>[2,1,1,1,2,2,1,2] [1,1,3,3,2,2]=>[2,2,3,3,1,1] [2,2,1,1,3,3]=>[3,3,1,1,2,2] [3,3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3,3] [2,1,2,3,1,1,1,1]=>[1,1,1,1,3,2,1,2] [1,1,3,3,1,1,1,1]=>[1,1,1,1,3,3,1,1] [2,2,3,3,1,1]=>[1,1,3,3,2,2] [1,1,1,1,3,3,1,1]=>[1,1,3,3,1,1,1,1] [3,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,3] [3,1,1,2,2,3]=>[3,2,2,1,1,3] [3,2,1,1,2,3]=>[3,2,1,1,2,3] [2,1,1,1,1,1,2,3]=>[3,2,1,1,1,1,1,2] [1,1,2,1,2,3,1,1]=>[1,1,3,2,1,2,1,1] [4,2,1,1,1,3]=>[3,1,1,1,2,4] [3,2,2,1,1,3]=>[3,1,1,2,2,3] [4,2,1,2,1,2]=>[2,1,2,1,2,4] [2,1,2,2,2,3]=>[3,2,2,2,1,2] [4,3,1,1,1,2]=>[2,1,1,1,3,4] [3,3,2,2,1,1]=>[1,1,2,2,3,3] [1,1,2,2,2,2,1,1]=>[1,1,2,2,2,2,1,1] [2,2,1,1,2,2,1,1]=>[1,1,2,2,1,1,2,2] [2,1,1,1,2,1,1,3]=>[3,1,1,2,1,1,1,2] [2,2,2,2,1,1,1,1]=>[1,1,1,1,2,2,2,2] [2,1,1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1,1,2] [2,1,1,1,3,4]=>[4,3,1,1,1,2] [2,1,1,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,1,1,2] [2,1,2,1,1,1,1,3]=>[3,1,1,1,1,2,1,2] [2,2,2,1,1,2,1,1]=>[1,1,2,1,1,2,2,2] [2,1,1,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,1,1,2] [2,1,2,1,2,4]=>[4,2,1,2,1,2] [2,1,1,2,2,2,1,1]=>[1,1,2,2,2,1,1,2] [2,1,3,2,1,3]=>[3,1,2,3,1,2] [2,1,3,1,1,4]=>[4,1,1,3,1,2] [3,1,1,1,2,4]=>[4,2,1,1,1,3] [1,1,2,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,2,1,1] [1,1,1,1,2,1,1,2,1,1]=>[1,1,2,1,1,2,1,1,1,1] [1,1,2,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,2,1,1] [1,1,1,1,2,2,1,1,1,1]=>[1,1,1,1,2,2,1,1,1,1] [1,1,1,1,1,1,2,2,1,1]=>[1,1,2,2,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1] [5,4,1,2]=>[2,1,4,5] [4,1,1,3,1,2]=>[2,1,3,1,1,4] [4,3,2,3]=>[3,2,3,4] [5,3,1,3]=>[3,1,3,5] [4,1,1,2,1,3]=>[3,1,2,1,1,4] [3,2,1,2,1,1,1,1]=>[1,1,1,1,2,1,2,3] [1,1,3,2,1,2,1,1]=>[1,1,2,1,2,3,1,1] [5,2,1,4]=>[4,1,2,5] [5,1,1,5]=>[5,1,1,5] [3,1,2,2,1,3]=>[3,1,2,2,1,3] [4,2,2,4]=>[4,2,2,4] [3,1,2,1,1,4]=>[4,1,1,2,1,3] [4,1,1,1,1,4]=>[4,1,1,1,1,4] [3,1,3,5]=>[5,3,1,3] [6,6]=>[6,6] [4,1,2,5]=>[5,2,1,4] [2,1,4,5]=>[5,4,1,2] [3,2,3,4]=>[4,3,2,3] [1,10,1]=>[1,10,1] [5,6,1]=>[1,6,5] [1,6,5]=>[5,6,1] [4,2,5,1]=>[1,5,2,4] [1,5,2,4]=>[4,2,5,1] [4,3,4,1]=>[1,4,3,4] [3,3,5,1]=>[1,5,3,3] [1,5,3,3]=>[3,3,5,1] [1,4,3,4]=>[4,3,4,1] [4,4,3,1]=>[1,3,4,4] [3,2,2,4,1]=>[1,4,2,2,3] [2,4,5,1]=>[1,5,4,2] [4,6,2]=>[2,6,4] [1,5,4,2]=>[2,4,5,1] [1,4,2,2,3]=>[3,2,2,4,1] [2,6,4]=>[4,6,2] [1,3,4,4]=>[4,4,3,1] [4,5,2,1]=>[1,2,5,4] [3,2,3,3,1]=>[1,3,3,2,3] [3,4,4,1]=>[1,4,4,3] [2,3,2,4,1]=>[1,4,2,3,2] [1,5,5,1]=>[1,5,5,1] [3,2,5,2]=>[2,5,2,3] [1,4,2,3,2]=>[2,3,2,4,1] [3,6,3]=>[3,6,3] [1,4,4,3]=>[3,4,4,1] [2,5,2,3]=>[3,2,5,2] [1,3,3,2,3]=>[3,2,3,3,1] [1,2,5,4]=>[4,5,2,1] [3,2,4,2,1]=>[1,2,4,2,3] [3,3,2,3,1]=>[1,3,2,3,3] [2,3,3,3,1]=>[1,3,3,3,2] [2,2,3,4,1]=>[1,4,3,2,2] [1,4,2,4,1]=>[1,4,2,4,1] [3,3,4,2]=>[2,4,3,3] [2,3,5,2]=>[2,5,3,2] [3,5,2,2]=>[2,2,5,3] [1,4,3,2,2]=>[2,2,3,4,1] [2,5,3,2]=>[2,3,5,2] [1,3,3,3,2]=>[2,3,3,3,1] [2,2,5,3]=>[3,5,2,2] [2,4,3,3]=>[3,3,4,2] [1,3,2,3,3]=>[3,3,2,3,1] [1,2,4,2,3]=>[3,2,4,2,1] [1,2,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,2,1] [1,1,1,1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1,1,1,1] [1,2,1,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,1,2,1] [1,1,1,1,1,2,1,1,2,1]=>[1,2,1,1,2,1,1,1,1,1] [1,1,1,2,1,1,1,1,2,1]=>[1,2,1,1,1,1,2,1,1,1] [1,2,1,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,1,2,1] [1,2,1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1,2,1] [1,1,1,1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1,1,1,1] [1,1,1,2,2,1,1,2,1]=>[1,2,1,1,2,2,1,1,1] [1,1,2,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,2,1,1] [1,1,1,1,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,1,2,1] [1,2,1,1,2,2,1,1,1]=>[1,1,1,2,2,1,1,2,1] [1,1,1,2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2,1,1,1] [1,2,1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1,2,1] [1,1,1,1,1,1,1,2,2,1]=>[1,2,2,1,1,1,1,1,1,1] [1,1,1,2,1,2,1,2,1]=>[1,2,1,2,1,2,1,1,1] [1,1,2,1,2,1,1,2,1]=>[1,2,1,1,2,1,2,1,1] [1,2,1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1,2,1] [1,1,1,2,1,1,2,1,1,1]=>[1,1,1,2,1,1,2,1,1,1] [1,2,1,1,2,1,2,1,1]=>[1,1,2,1,2,1,1,2,1] [1,1,1,1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1,1,1,1] [1,2,1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1,2,1] [1,2,2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2,2,1] [1,1,1,2,1,1,2,2,1]=>[1,2,2,1,1,2,1,1,1] [1,1,1,1,2,2,1,2,1]=>[1,2,1,2,2,1,1,1,1] [1,1,2,1,1,2,1,2,1]=>[1,2,1,2,1,1,2,1,1] [1,1,2,2,1,1,1,2,1]=>[1,2,1,1,1,2,2,1,1] [1,2,1,1,2,1,1,2,1]=>[1,2,1,1,2,1,1,2,1] [1,1,1,1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1,1,1,1] [1,1,2,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,2,1,1] [1,1,1,1,1,2,1,2,1,1]=>[1,1,2,1,2,1,1,1,1,1] [1,2,1,1,1,2,2,1,1]=>[1,1,2,2,1,1,1,2,1] [1,1,1,2,1,1,1,2,1,1]=>[1,1,2,1,1,1,2,1,1,1] [1,2,1,2,1,1,2,1,1]=>[1,1,2,1,1,2,1,2,1] [1,1,2,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,2,1,1] [1,1,1,2,1,2,1,1,1,1]=>[1,1,1,1,2,1,2,1,1,1] [1,2,1,2,2,1,1,1,1]=>[1,1,1,1,2,2,1,2,1] [1,2,2,1,1,2,1,1,1]=>[1,1,1,2,1,1,2,2,1] [1,1,1,1,2,1,1,1,3]=>[3,1,1,1,2,1,1,1,1] [3,1,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,1,3] [1,1,1,4,1,1,3]=>[3,1,1,4,1,1,1] [3,1,1,4,1,1,1]=>[1,1,1,4,1,1,3] [1,1,1,2,3,1,3]=>[3,1,3,2,1,1,1] [1,1,3,2,1,1,3]=>[3,1,1,2,3,1,1] [3,1,1,2,3,1,1]=>[1,1,3,2,1,1,3] [3,1,3,2,1,1,1]=>[1,1,1,2,3,1,3] [1,1,1,2,1,3,3]=>[3,3,1,2,1,1,1] [1,1,6,1,3]=>[3,1,6,1,1] [1,3,1,2,1,1,3]=>[3,1,1,2,1,3,1] [3,1,1,2,1,3,1]=>[1,3,1,2,1,1,3] [3,1,6,1,1]=>[1,1,6,1,3] [3,3,1,2,1,1,1]=>[1,1,1,2,1,3,3] [1,1,1,2,1,1,5]=>[5,1,1,2,1,1,1] [1,1,4,3,3]=>[3,3,4,1,1] [1,3,4,1,3]=>[3,1,4,3,1] [3,1,1,2,1,1,3]=>[3,1,1,2,1,1,3] [1,1,4,1,2,2,1]=>[1,2,2,1,4,1,1] [3,1,4,3,1]=>[1,3,4,1,3] [1,1,2,1,2,1,2,1,1]=>[1,1,2,1,2,1,2,1,1] [3,1,2,2,2,1,1]=>[1,1,2,2,2,1,3] [1,2,2,1,4,1,1]=>[1,1,4,1,2,2,1] [3,3,4,1,1]=>[1,1,4,3,3] [5,1,1,2,1,1,1]=>[1,1,1,2,1,1,5] [1,1,4,1,5]=>[5,1,4,1,1] [1,1,2,5,3]=>[3,5,2,1,1] [1,5,2,1,3]=>[3,1,2,5,1] [3,1,4,1,3]=>[3,1,4,1,3] [1,1,2,3,2,2,1]=>[1,2,2,3,2,1,1] [1,3,2,1,2,2,1]=>[1,2,2,1,2,3,1] [1,1,2,1,2,4,1]=>[1,4,2,1,2,1,1] [3,1,2,5,1]=>[1,5,2,1,3] [1,2,2,1,2,3,1]=>[1,3,2,1,2,2,1] [1,4,2,1,2,1,1]=>[1,1,2,1,2,4,1] [1,2,2,3,2,1,1]=>[1,1,2,3,2,2,1] [3,5,2,1,1]=>[1,1,2,5,3] [5,1,4,1,1]=>[1,1,4,1,5] [1,4,1,1,4,1]=>[1,4,1,1,4,1] [1,4,2,1,3,1]=>[1,3,1,2,4,1] [1,3,1,2,4,1]=>[1,4,2,1,3,1] [3,1,1,4,2,1]=>[1,2,4,1,1,3] [1,4,3,1,2,1]=>[1,2,1,3,4,1] [1,3,1,1,1,1,3,1]=>[1,3,1,1,1,1,3,1] [1,2,1,3,4,1]=>[1,4,3,1,2,1] [2,4,4,2]=>[2,4,4,2] [2,1,1,4,3,1]=>[1,3,4,1,1,2] [1,4,4,1,1,1]=>[1,1,1,4,4,1] [1,3,1,1,2,1,2,1]=>[1,2,1,2,1,1,3,1] [1,3,2,2,3,1]=>[1,3,2,2,3,1] [1,2,1,2,1,1,3,1]=>[1,3,1,1,2,1,2,1] [1,1,1,4,4,1]=>[1,4,4,1,1,1] [2,3,1,1,3,2]=>[2,3,1,1,3,2] [2,1,1,3,1,1,2,1]=>[1,2,1,1,3,1,1,2] [1,3,1,1,3,1,1,1]=>[1,1,1,3,1,1,3,1] [1,3,2,1,1,1,2,1]=>[1,2,1,1,1,2,3,1] [1,2,1,2,2,1,2,1]=>[1,2,1,2,2,1,2,1] [1,2,1,1,1,2,3,1]=>[1,3,2,1,1,1,2,1] [1,1,1,3,1,1,3,1]=>[1,3,1,1,3,1,1,1] [2,3,2,1,2,2]=>[2,2,1,2,3,2] [2,2,1,2,3,2]=>[2,3,2,1,2,2] [2,3,3,2,1,1]=>[1,1,2,3,3,2] [2,1,1,3,2,1,1,1]=>[1,1,1,2,3,1,1,2] [2,2,2,3,2,1]=>[1,2,3,2,2,2] [2,1,1,2,1,2,2,1]=>[1,2,2,1,2,1,1,2] [1,2,4,1,1,3]=>[3,1,1,4,2,1] [1,3,4,1,1,2]=>[2,1,1,4,3,1] [1,2,1,1,3,1,1,2]=>[2,1,1,3,1,1,2,1] [1,2,2,1,2,1,1,2]=>[2,1,1,2,1,2,2,1] [1,1,1,2,3,1,1,2]=>[2,1,1,3,2,1,1,1] [1,2,3,2,2,2]=>[2,2,2,3,2,1] [1,1,2,3,3,2]=>[2,3,3,2,1,1] [1,4,5,2]=>[2,5,4,1] [4,2,1,4,1]=>[1,4,1,2,4] [1,3,5,3]=>[3,5,3,1] [3,3,1,3,2]=>[2,3,1,3,3] [1,2,1,1,4,3]=>[3,4,1,1,2,1] [2,1,1,2,1,3,2]=>[2,3,1,2,1,1,2] [1,1,1,2,4,3]=>[3,4,2,1,1,1] [1,3,3,1,2,2]=>[2,2,1,3,3,1] [1,1,3,4,1,1,1]=>[1,1,1,4,3,1,1] [1,1,2,2,1,3,2]=>[2,3,1,2,2,1,1] [2,4,1,2,3]=>[3,2,1,4,2] [3,3,1,1,1,2,1]=>[1,2,1,1,1,3,3] [2,3,4,3]=>[3,4,3,2] [1,3,2,1,3,2]=>[2,3,1,2,3,1] [1,1,2,4,2,1,1]=>[1,1,2,4,2,1,1] [1,1,1,3,1,2,3]=>[3,2,1,3,1,1,1] [2,1,2,3,1,2,1]=>[1,2,1,3,2,1,2] [2,1,1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1,1,2] [2,2,1,2,1,2,2]=>[2,2,1,2,1,2,2] [2,4,1,1,1,1,2]=>[2,1,1,1,1,4,2] [1,2,4,2,1,2]=>[2,1,2,4,2,1] [1,2,3,1,2,3]=>[3,2,1,3,2,1] [1,1,1,1,1,3,2,1,1]=>[1,1,2,3,1,1,1,1,1] [1,1,2,3,1,1,1,1,1]=>[1,1,1,1,1,3,2,1,1] [1,2,2,3,1,1,2]=>[2,1,1,3,2,2,1] [1,2,1,2,1,2,3]=>[3,2,1,2,1,2,1] [1,1,1,1,1,2,1,2,2]=>[2,2,1,2,1,1,1,1,1] [1,1,1,3,1,1,1,1,2]=>[2,1,1,1,1,3,1,1,1] [2,1,1,3,2,2,1]=>[1,2,2,3,1,1,2] [2,2,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,2,2] [2,4,1,1,2,1,1]=>[1,1,2,1,1,4,2] [2,4,2,2,2]=>[2,2,2,4,2] [4,5,1,1,1]=>[1,1,1,5,4] [3,2,1,3,1,1,1]=>[1,1,1,3,1,2,3] [2,1,2,4,1,1,1]=>[1,1,1,4,2,1,2] [2,1,1,1,1,3,1,1,1]=>[1,1,1,3,1,1,1,1,2] [3,4,2,2,1]=>[1,2,2,4,3] [1,2,4,4,1]=>[1,4,4,2,1] [3,4,1,1,1,1,1]=>[1,1,1,1,1,4,3] [2,2,2,3,1,1,1]=>[1,1,1,3,2,2,2] [1,1,2,1,1,3,1,1,1]=>[1,1,1,3,1,1,2,1,1] [1,2,3,1,1,3,1]=>[1,3,1,1,3,2,1] [2,1,1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1,1,2] [2,2,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,2,2] [1,1,2,2,1,2,1,1,1]=>[1,1,1,2,1,2,2,1,1] [1,1,1,1,2,3,1,1,1]=>[1,1,1,3,2,1,1,1,1] [2,2,1,2,2,2,1]=>[1,2,2,2,1,2,2] [2,3,2,1,1,2,1]=>[1,2,1,1,2,3,2] [1,2,3,2,1,2,1]=>[1,2,1,2,3,2,1] [1,1,1,2,3,3,1]=>[1,3,3,2,1,1,1] [1,1,1,5,4]=>[4,5,1,1,1] [1,1,1,4,2,1,2]=>[2,1,2,4,1,1,1] [1,4,4,2,1]=>[1,2,4,4,1] [1,1,1,4,3,1,1]=>[1,1,3,4,1,1,1] [1,2,2,4,3]=>[3,4,2,2,1] [1,3,1,1,3,2,1]=>[1,2,3,1,1,3,1] [1,1,1,3,1,1,2,1,1]=>[1,1,2,1,1,3,1,1,1] [1,1,1,3,2,2,2]=>[2,2,2,3,1,1,1] [1,1,1,2,1,2,1,1,2]=>[2,1,1,2,1,2,1,1,1] [1,1,1,1,1,4,3]=>[3,4,1,1,1,1,1] [1,2,1,2,3,2,1]=>[1,2,3,2,1,2,1] [1,3,3,2,1,1,1]=>[1,1,1,2,3,3,1] [1,1,1,3,2,1,1,1,1]=>[1,1,1,1,2,3,1,1,1] [1,1,1,2,1,2,2,1,1]=>[1,1,2,2,1,2,1,1,1] [1,2,1,1,2,3,2]=>[2,3,2,1,1,2,1] [1,2,2,2,1,2,2]=>[2,2,1,2,2,2,1] [1,1,1,2,1,1,1,2,2]=>[2,2,1,1,1,2,1,1,1] [1,1,1,1,1,3,1,1,2]=>[2,1,1,3,1,1,1,1,1] [1,2,9]=>[9,2,1] [1,2,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,2,1] [9,1,2]=>[2,1,9] [1,3,1,1,1,1,4]=>[4,1,1,1,1,3,1] [1,1,1,1,1,1,1,3,2]=>[2,3,1,1,1,1,1,1,1] [1,1,2,1,7]=>[7,1,2,1,1] [1,1,1,1,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,1,1,1,1] [8,1,1,2]=>[2,1,1,8] [1,1,8,1,1]=>[1,1,8,1,1] [1,1,6,3,1]=>[1,3,6,1,1] [1,1,4,5,1]=>[1,5,4,1,1] [1,1,2,7,1]=>[1,7,2,1,1] [2,5,4,1]=>[1,4,5,2] [1,1,2,2,1,1,1,1,2]=>[2,1,1,1,1,2,2,1,1] [3,8,1]=>[1,8,3] [2,1,1,1,2,4,1]=>[1,4,2,1,1,1,2] [2,1,4,2,1,1,1]=>[1,1,1,2,4,1,2] [4,2,1,1,1,2,1]=>[1,2,1,1,1,2,4] [2,2,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,2,2] [1,2,5,1,1,1,1]=>[1,1,1,1,5,2,1] [1,2,3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3,2,1] [7,1,1,1,2]=>[2,1,1,1,7] [6,1,1,1,1,2]=>[2,1,1,1,1,6] [5,1,1,1,1,1,2]=>[2,1,1,1,1,1,5] [4,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,4] [3,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,3] [2,2,2,2,2,1,1]=>[1,1,2,2,2,2,2] [3,2,1,2,2,1,1]=>[1,1,2,2,1,2,3] [3,2,2,1,2,1,1]=>[1,1,2,1,2,2,3] [3,2,2,2,1,1,1]=>[1,1,1,2,2,2,3] [2,1,1,2,2,2,2]=>[2,2,2,2,1,1,2] [3,1,1,2,2,2,1]=>[1,2,2,2,1,1,3] [1,2,2,2,2,2,1]=>[1,2,2,2,2,2,1] [1,2,2,3,3,1]=>[1,3,3,2,2,1] [1,2,3,2,3,1]=>[1,3,2,3,2,1] [1,1,2,2,2,3,1]=>[1,3,2,2,2,1,1] [2,2,2,2,3,1]=>[1,3,2,2,2,2] [9,3]=>[3,9] [2,4,2,1,1,1,1]=>[1,1,1,1,2,4,2] [2,3,2,1,1,1,1,1]=>[1,1,1,1,1,2,3,2] [2,2,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,2,2] [1,5,1,1,1,2,1]=>[1,2,1,1,1,5,1] [2,1,1,1,1,1,1,2,2]=>[2,2,1,1,1,1,1,1,2] [2,2,3,2,1,1,1]=>[1,1,1,2,3,2,2] [2,2,1,2,2,1,1,1]=>[1,1,1,2,2,1,2,2] [2,3,2,2,1,1,1]=>[1,1,1,2,2,3,2] [1,2,2,2,2,1,1,1]=>[1,1,1,2,2,2,2,1] [4,3,1,1,1,1,1]=>[1,1,1,1,1,3,4] [3,9]=>[9,3] [4,3,2,2,1]=>[1,2,2,3,4] [5,2,2,2,1]=>[1,2,2,2,5] [2,1,1,1,1,3,3]=>[3,3,1,1,1,1,2] [2,1,2,2,2,2,1]=>[1,2,2,2,2,1,2] [1,1,2,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,2,1,1] [5,4,3]=>[3,4,5] [5,4,2,1]=>[1,2,4,5] [5,4,1,1,1]=>[1,1,1,4,5] [5,3,3,1]=>[1,3,3,5] [5,3,2,2]=>[2,2,3,5] [5,3,2,1,1]=>[1,1,2,3,5] [4,4,2,1,1]=>[1,1,2,4,4] [4,3,3,2]=>[2,3,3,4] [4,3,3,1,1]=>[1,1,3,3,4] [3,3,3,2,1]=>[1,2,3,3,3] [1,2,3,3,3]=>[3,3,3,2,1] [1,2,2,3,4]=>[4,3,2,2,1] [1,2,2,2,5]=>[5,2,2,2,1] [1,1,2,4,4]=>[4,4,2,1,1] [1,1,2,3,5]=>[5,3,2,1,1] [1,1,1,4,5]=>[5,4,1,1,1] [2,3,3,4]=>[4,3,3,2] [3,4,5]=>[5,4,3] [3,1,3,1,2,1,1]=>[1,1,2,1,3,1,3] [4,1,2,1,2,1,1]=>[1,1,2,1,2,1,4] [4,1,3,1,1,1,1]=>[1,1,1,1,3,1,4] [1,1,1,1,2,1,2,2,1]=>[1,2,2,1,2,1,1,1,1] [1,1,1,2,1,1,2,1,2]=>[2,1,2,1,1,2,1,1,1] [1,1,1,1,2,1,1,2,2]=>[2,2,1,1,2,1,1,1,1] [1,2,2,1,2,1,1,1,1]=>[1,1,1,1,2,1,2,2,1] [2,2,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,2,2] [1,4,3,3,1]=>[1,3,3,4,1] [1,5,4,1,1]=>[1,1,4,5,1] [3,5,4]=>[4,5,3] [3,3,2,1,3]=>[3,1,2,3,3] [3,3,2,4]=>[4,2,3,3] [4,3,5]=>[5,3,4] [2,3,2,2,2,1]=>[1,2,2,2,3,2] [1,3,3,2,2,1]=>[1,2,2,3,3,1] [2,2,3,2,2,1]=>[1,2,2,3,2,2] [1,2,3,3,2,1]=>[1,2,3,3,2,1] [2,4,3,2,1]=>[1,2,3,4,2] [1,3,2,3,2,1]=>[1,2,3,2,3,1] [2,3,4,2,1]=>[1,2,4,3,2] [1,3,4,3,1]=>[1,3,4,3,1] [2,2,4,3,1]=>[1,3,4,2,2] [3,5,3,1]=>[1,3,5,3] [2,4,2,3,1]=>[1,3,2,4,2] [1,3,3,4,1]=>[1,4,3,3,1] [1,2,2,2,3,2]=>[2,3,2,2,2,1] [2,3,2,3,2]=>[2,3,2,3,2] [2,2,3,3,2]=>[2,3,3,2,2] [3,4,3,2]=>[2,3,4,3] [1,2,3,4,2]=>[2,4,3,2,1] [1,3,2,4,2]=>[2,4,2,3,1] [2,2,2,4,2]=>[2,4,2,2,2] [1,2,2,3,2,2]=>[2,2,3,2,2,1] [2,3,3,2,2]=>[2,2,3,3,2] [1,3,4,2,2]=>[2,2,4,3,1] [2,2,4,2,2]=>[2,2,4,2,2] [1,3,2,2,2,2]=>[2,2,2,2,3,1] [3,3,2,2,2]=>[2,2,2,3,3] [3,2,3,2,2]=>[2,2,3,2,3] [1,2,4,3,2]=>[2,3,4,2,1] [3,2,2,3,2]=>[2,3,2,2,3] [4,2,4,2]=>[2,4,2,4] [5,5,2]=>[2,5,5] [2,2,2,3,3]=>[3,3,2,2,2] [3,2,4,3]=>[3,4,2,3] [4,5,3]=>[3,5,4] [2,2,3,2,3]=>[3,2,3,2,2] [3,4,2,3]=>[3,2,4,3] [2,3,2,2,3]=>[3,2,2,3,2] [3,2,2,2,3]=>[3,2,2,2,3] [4,2,3,3]=>[3,3,2,4] [4,4,4]=>[4,4,4] [2,4,2,4]=>[4,2,4,2] [5,3,4]=>[4,3,5] [2,5,5]=>[5,5,2] [5,2,5]=>[5,2,5] [1,1,1,2,2,2,2,1]=>[1,2,2,2,2,1,1,1] [1,2,1,1,2,2,2,1]=>[1,2,2,2,1,1,2,1] [1,1,2,1,2,2,2,1]=>[1,2,2,2,1,2,1,1] [1,1,1,1,1,2,2,2,1]=>[1,2,2,2,1,1,1,1,1] [1,2,2,1,1,2,2,1]=>[1,2,2,1,1,2,2,1] [1,2,1,2,1,2,2,1]=>[1,2,2,1,2,1,2,1] [1,1,2,2,1,2,2,1]=>[1,2,2,1,2,2,1,1] [1,2,1,1,1,1,2,2,1]=>[1,2,2,1,1,1,1,2,1] [1,1,2,1,1,1,2,2,1]=>[1,2,2,1,1,1,2,1,1] [1,2,2,2,1,1,2,1]=>[1,2,1,1,2,2,2,1] [1,2,2,1,2,1,2,1]=>[1,2,1,2,1,2,2,1] [1,1,2,2,2,1,2,1]=>[1,2,1,2,2,2,1,1] [1,2,1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1,2,1] [1,2,2,1,1,1,1,2,1]=>[1,2,1,1,1,1,2,2,1] [1,2,1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1,2,1] [1,1,1,2,2,2,1,1,1]=>[1,1,1,2,2,2,1,1,1] [1,1,2,1,2,2,1,1,1]=>[1,1,1,2,2,1,2,1,1] [1,1,1,1,1,2,2,1,1,1]=>[1,1,1,2,2,1,1,1,1,1] [1,2,2,2,1,2,1,1]=>[1,1,2,1,2,2,2,1] [1,1,1,2,2,1,2,1,1]=>[1,1,2,1,2,2,1,1,1] [1,2,2,1,2,2,1,1]=>[1,1,2,2,1,2,2,1] [1,2,1,2,2,2,1,1]=>[1,1,2,2,2,1,2,1] [1,1,1,1,2,2,2,1,1]=>[1,1,2,2,2,1,1,1,1] [1,1,2,1,1,2,2,1,1]=>[1,1,2,2,1,1,2,1,1] [1,2,2,1,1,1,2,1,1]=>[1,1,2,1,1,1,2,2,1] [1,1,2,2,1,1,2,1,1]=>[1,1,2,1,1,2,2,1,1] [1,2,2,2,1,1,1,1,1]=>[1,1,1,1,1,2,2,2,1] [1,1,1,2,2,1,1,1,1,1]=>[1,1,1,1,1,2,2,1,1,1] [1,1,2,2,2,1,1,1,1]=>[1,1,1,1,2,2,2,1,1] [1,1,1,1,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,1,1,1,1] [1,1,1,1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1,1,1,1] [1,1,2,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,2,1,1] [12]=>[12] [3,2,7]=>[7,2,3] [1,4,7]=>[7,4,1] [3,1,2,1,5]=>[5,1,2,1,3] [1,3,2,1,5]=>[5,1,2,3,1] [7,2,3]=>[3,2,7] [3,1,2,3,3]=>[3,3,2,1,3] [5,1,2,1,3]=>[3,1,2,1,5] [1,2,2,1,2,1,3]=>[3,1,2,1,2,2,1] [1,2,6,2,1]=>[1,2,6,2,1] [1,1,2,1,4,2,1]=>[1,2,4,1,2,1,1] [1,6,2,2,1]=>[1,2,2,6,1] [3,1,2,1,2,2,1]=>[1,2,2,1,2,1,3] [7,4,1]=>[1,4,7] [1,2,2,6,1]=>[1,6,2,2,1] [1,3,2,5,1]=>[1,5,2,3,1] [1,1,1,2,1,5,1]=>[1,5,1,2,1,1,1] [5,1,2,3,1]=>[1,3,2,1,5] [1,5,2,3,1]=>[1,3,2,5,1] [1,3,1,2,1,3,1]=>[1,3,1,2,1,3,1] [1,1,3,2,1,3,1]=>[1,3,1,2,3,1,1] [1,1,1,4,1,3,1]=>[1,3,1,4,1,1,1] [1,1,1,1,2,1,1,3,1]=>[1,3,1,1,2,1,1,1,1] [7,1,2,1,1]=>[1,1,2,1,7] [1,2,4,1,2,1,1]=>[1,1,2,1,4,2,1] [1,7,2,1,1]=>[1,1,2,7,1] [1,3,2,2,2,1,1]=>[1,1,2,2,2,3,1] [1,1,4,2,2,1,1]=>[1,1,2,2,4,1,1] [1,1,2,2,4,1,1]=>[1,1,4,2,2,1,1] [1,3,6,1,1]=>[1,1,6,3,1] [1,1,1,2,5,1,1]=>[1,1,5,2,1,1,1] [1,3,1,2,3,1,1]=>[1,1,3,2,1,3,1] [1,1,3,2,3,1,1]=>[1,1,3,2,3,1,1] [1,1,1,1,2,1,3,1,1]=>[1,1,3,1,2,1,1,1,1] [1,5,1,2,1,1,1]=>[1,1,1,2,1,5,1] [1,1,5,2,1,1,1]=>[1,1,1,2,5,1,1] [1,3,1,4,1,1,1]=>[1,1,1,4,1,3,1] [1,1,1,6,1,1,1]=>[1,1,1,6,1,1,1] [1,3,1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1,3,1] [1,1,3,1,2,1,1,1,1]=>[1,1,1,1,2,1,3,1,1] [1,1,1,1,4,1,1,1,1]=>[1,1,1,1,4,1,1,1,1] [1,3,3,1,1,1,1,1]=>[1,1,1,1,1,3,3,1] [1,3,2,1,2,1,1,1]=>[1,1,1,2,1,2,3,1] [1,1,1,3,3,1,1,1]=>[1,1,1,3,3,1,1,1] [1,2,1,2,3,1,1,1]=>[1,1,1,3,2,1,2,1] [1,1,1,3,2,1,2,1]=>[1,2,1,2,3,1,1,1] [1,1,1,1,1,3,3,1]=>[1,3,3,1,1,1,1,1] [1,1,1,2,1,2,3,1]=>[1,3,2,1,2,1,1,1] [2,3,3,1,1,2]=>[2,1,1,3,3,2] [2,1,1,3,3,2]=>[2,3,3,1,1,2] [2,3,1,1,2,1,1,1]=>[1,1,1,2,1,1,3,2] [2,4,3,1,1,1]=>[1,1,1,3,4,2] [2,1,1,1,1,3,2,1]=>[1,2,3,1,1,1,1,2] [2,2,1,1,1,2,2,1]=>[1,2,2,1,1,1,2,2] [2,2,1,2,1,1,2,1]=>[1,2,1,1,2,1,2,2] [2,3,1,1,1,1,2,1]=>[1,2,1,1,1,1,3,2] [2,4,2,1,2,1]=>[1,2,1,2,4,2] [2,2,1,3,3,1]=>[1,3,3,1,2,2] [2,3,1,2,3,1]=>[1,3,2,1,3,2] [2,4,1,1,3,1]=>[1,3,1,1,4,2] [3,4,2,1,1,1]=>[1,1,1,2,4,3] [3,2,1,3,2,1]=>[1,2,3,1,2,3] [3,3,1,2,2,1]=>[1,2,2,1,3,3] [3,4,1,1,2,1]=>[1,2,1,1,4,3] [1,2,3,1,1,1,1,2]=>[2,1,1,1,1,3,2,1] [1,2,2,1,1,1,2,2]=>[2,2,1,1,1,2,2,1] [1,1,1,2,2,1,2,2]=>[2,2,1,2,2,1,1,1] [1,2,1,1,2,1,2,2]=>[2,2,1,2,1,1,2,1] [1,1,1,1,1,2,3,2]=>[2,3,2,1,1,1,1,1] [1,1,1,2,1,1,3,2]=>[2,3,1,1,2,1,1,1] [1,2,1,1,1,1,3,2]=>[2,3,1,1,1,1,2,1] [1,2,2,1,3,3]=>[3,3,1,2,2,1] [1,1,1,3,4,2]=>[2,4,3,1,1,1] [1,2,1,2,4,2]=>[2,4,2,1,2,1] [1,3,1,1,4,2]=>[2,4,1,1,3,1] [1,2,1,3,3,1,1]=>[1,1,3,3,1,2,1] [1,5,3,1,2]=>[2,1,3,5,1] [1,3,1,2,2,1,2]=>[2,1,2,2,1,3,1] [1,2,1,2,1,1,1,1,2]=>[2,1,1,1,1,2,1,2,1] [1,2,1,3,2,1,2]=>[2,1,2,3,1,2,1] [1,5,1,1,4]=>[4,1,1,5,1] [1,3,1,3,4]=>[4,3,1,3,1] [1,2,1,3,1,1,3]=>[3,1,1,3,1,2,1] [1,2,1,4,4]=>[4,4,1,2,1] [1,1,2,3,1,2,2]=>[2,2,1,3,2,1,1] [1,1,2,4,1,1,2]=>[2,1,1,4,2,1,1] [1,1,3,5,2]=>[2,5,3,1,1] [2,1,1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1,1,2] [2,5,3,1,1]=>[1,1,3,5,2] [2,2,1,3,2,1,1]=>[1,1,2,3,1,2,2] [2,1,1,4,2,1,1]=>[1,1,2,4,1,1,2] [2,5,2,1,2]=>[2,1,2,5,2] [2,2,1,3,1,1,2]=>[2,1,1,3,1,2,2] [2,5,1,1,3]=>[3,1,1,5,2] [2,2,1,4,3]=>[3,4,1,2,2] [2,1,1,3,1,2,2]=>[2,2,1,3,1,1,2] [2,1,1,4,1,1,2]=>[2,1,1,4,1,1,2] [2,1,1,5,3]=>[3,5,1,1,2] [2,1,2,5,2]=>[2,5,2,1,2] [3,1,1,3,1,2,1]=>[1,2,1,3,1,1,3] [3,4,1,2,2]=>[2,2,1,4,3] [3,5,1,1,2]=>[2,1,1,5,3] [3,1,1,5,2]=>[2,5,1,1,3] [4,3,1,3,1]=>[1,3,1,3,4] [4,4,1,2,1]=>[1,2,1,4,4] [1,2,3,3,1,1,1]=>[1,1,1,3,3,2,1] [2,3,1,1,2,2,1]=>[1,2,2,1,1,3,2] [2,2,2,2,1,2,1]=>[1,2,1,2,2,2,2] [2,1,1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1,1,2] [3,2,1,2,1,2,1]=>[1,2,1,2,1,2,3] [1,1,3,3,1,2,1]=>[1,2,1,3,3,1,1] [1,2,1,1,3,3,1]=>[1,3,3,1,1,2,1] [1,1,1,1,1,1,2,3,1]=>[1,3,2,1,1,1,1,1,1] [2,2,1,1,2,3,1]=>[1,3,2,1,1,2,2] [2,1,1,2,2,3,1]=>[1,3,2,2,1,1,2] [2,2,2,1,1,3,1]=>[1,3,1,1,2,2,2] [1,1,2,1,1,1,1,3,1]=>[1,3,1,1,1,1,2,1,1] [3,2,1,1,1,3,1]=>[1,3,1,1,1,2,3] [2,1,2,2,1,3,1]=>[1,3,1,2,2,1,2] [1,1,1,1,3,4,1]=>[1,4,3,1,1,1,1] [1,1,3,1,1,4,1]=>[1,4,1,1,3,1,1] [2,1,2,1,1,4,1]=>[1,4,1,1,2,1,2] [3,1,1,1,1,4,1]=>[1,4,1,1,1,1,3] [2,1,3,5,1]=>[1,5,3,1,2] [4,1,1,5,1]=>[1,5,1,1,4] [1,3,3,1,1,2,1]=>[1,2,1,1,3,3,1] [1,1,1,3,3,2,1]=>[1,2,3,3,1,1,1] [1,3,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,3,1] [1,4,3,1,1,1,1]=>[1,1,1,1,3,4,1] [1,3,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,3,1] [1,4,1,1,3,1,1]=>[1,1,3,1,1,4,1] [1,2,2,1,1,3,2]=>[2,3,1,1,2,2,1] [1,1,1,2,2,3,2]=>[2,3,2,2,1,1,1] [1,2,1,1,1,1,1,2,2]=>[2,2,1,1,1,1,1,2,1] [1,3,2,1,1,2,2]=>[2,2,1,1,2,3,1] [1,2,1,2,2,2,2]=>[2,2,2,2,1,2,1] [1,3,1,1,2,2,2]=>[2,2,2,1,1,3,1] [1,2,1,1,1,2,1,1,2]=>[2,1,1,2,1,1,1,2,1] [1,3,2,2,1,1,2]=>[2,1,1,2,2,3,1] [1,4,1,1,2,1,2]=>[2,1,2,1,1,4,1] [1,2,1,1,1,3,3]=>[3,3,1,1,1,2,1] [1,3,1,1,1,2,3]=>[3,2,1,1,1,3,1] [1,4,1,1,1,1,3]=>[3,1,1,1,1,4,1] [1,4,1,2,4]=>[4,2,1,4,1] [6,4,2]=>[2,4,6] [7,5]=>[5,7] [1,2,2,2,3,1,1]=>[1,1,3,2,2,2,1] [1,2,3,2,2,1,1]=>[1,1,2,2,3,2,1] [1,4,5,1,1]=>[1,1,5,4,1] [2,4,4,1,1]=>[1,1,4,4,2] [1,2,4,1,1,2,1]=>[1,2,1,1,4,2,1] [1,2,1,2,4,1,1]=>[1,1,4,2,1,2,1] [1,2,1,1,2,2,3]=>[3,2,2,1,1,2,1] [1,2,2,1,1,2,3]=>[3,2,1,1,2,2,1] [1,2,2,2,1,1,3]=>[3,1,1,2,2,2,1] [1,2,1,2,2,1,3]=>[3,1,2,2,1,2,1] [1,3,2,2,1,2,1]=>[1,2,1,2,2,3,1] [1,3,1,2,2,2,1]=>[1,2,2,2,1,3,1] [1,3,1,1,2,1,3]=>[3,1,2,1,1,3,1] [1,1,1,3,2,1,3]=>[3,1,2,3,1,1,1] [1,3,3,1,2,1,1]=>[1,1,2,1,3,3,1] [1,3,1,3,2,1,1]=>[1,1,2,3,1,3,1] [1,1,2,3,1,1,3]=>[3,1,1,3,2,1,1] [1,3,2,1,3,1,1]=>[1,1,3,1,2,3,1] [1,3,1,3,1,2,1]=>[1,2,1,3,1,3,1] [1,3,2,1,2,1,2]=>[2,1,2,1,2,3,1] [1,2,3,1,2,2,1]=>[1,2,2,1,3,2,1] [1,1,1,3,3,1,2]=>[2,1,3,3,1,1,1] [1,1,2,3,3,1,1]=>[1,1,3,3,2,1,1] [1,2,3,1,3,1,1]=>[1,1,3,1,3,2,1] [1,2,3,2,1,1,2]=>[2,1,1,2,3,2,1] [1,1,2,3,2,1,2]=>[2,1,2,3,2,1,1] [1,2,1,1,3,2,2]=>[2,2,3,1,1,2,1] [1,2,2,3,1,2,1]=>[1,2,1,3,2,2,1] [1,1,1,2,3,2,2]=>[2,2,3,2,1,1,1] [1,2,1,2,3,1,2]=>[2,1,3,2,1,2,1] [1,2,2,1,2,2,2]=>[2,2,2,1,2,2,1] [1,2,2,2,2,1,2]=>[2,1,2,2,2,2,1] [1,3,2,2,4]=>[4,2,2,3,1] [1,4,4,1,2]=>[2,1,4,4,1] [1,4,3,1,3]=>[3,1,3,4,1] [1,4,2,1,4]=>[4,1,2,4,1] [1,5,6]=>[6,5,1] [2,4,3,1,2]=>[2,1,3,4,2] [2,4,2,1,3]=>[3,1,2,4,2] [5,7]=>[7,5] [2,3,2,1,2,1,1]=>[1,1,2,1,2,3,2] [2,2,1,3,1,2,1]=>[1,2,1,3,1,2,2] [2,2,1,2,2,1,2]=>[2,1,2,2,1,2,2] [2,3,1,2,2,1,1]=>[1,1,2,2,1,3,2] [1,1,1,2,1,2,4]=>[4,2,1,2,1,1,1] [1,2,1,1,1,2,4]=>[4,2,1,1,1,2,1] [1,2,1,2,1,1,4]=>[4,1,1,2,1,2,1] [1,4,1,3,1,1,1]=>[1,1,1,3,1,4,1] [1,5,1,1,2,1,1]=>[1,1,2,1,1,5,1] [1,6,1,1,1,1,1]=>[1,1,1,1,1,6,1] [2,2,2,1,2,2,1]=>[1,2,2,1,2,2,2] [2,1,1,2,1,1,2,1,1]=>[1,1,2,1,1,2,1,1,2] [1,2,1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1,2,1] [1,1,2,1,1,2,1,1,2]=>[2,1,1,2,1,1,2,1,1] [1,1,1,2,2,1,1,1,2]=>[2,1,1,1,2,2,1,1,1] [1,3,1,2,5]=>[5,2,1,3,1] [1,2,1,3,5]=>[5,3,1,2,1] [4,2,1,1,2,1,1]=>[1,1,2,1,1,2,4] [6,1,1,1,1,1,1]=>[1,1,1,1,1,1,6] [2,1,1,4,4]=>[4,4,1,1,2] [2,1,1,2,1,1,1,1,2]=>[2,1,1,1,1,2,1,1,2] [2,1,1,1,1,2,1,1,2]=>[2,1,1,2,1,1,1,1,2] [2,4,1,1,4]=>[4,1,1,4,2] [5,1,1,1,2,1,1]=>[1,1,2,1,1,1,5] [4,1,1,1,3,1,1]=>[1,1,3,1,1,1,4] [4,1,1,1,2,2,1]=>[1,2,2,1,1,1,4] [4,1,1,2,1,2,1]=>[1,2,1,2,1,1,4] [4,1,1,3,1,1,1]=>[1,1,1,3,1,1,4] [4,1,1,2,2,1,1]=>[1,1,2,2,1,1,4] [3,1,1,3,2,1,1]=>[1,1,2,3,1,1,3] [5,1,2,1,1,1,1]=>[1,1,1,1,2,1,5] [4,1,2,1,1,2,1]=>[1,2,1,1,2,1,4] [3,1,2,1,3,1,1]=>[1,1,3,1,2,1,3] [3,1,3,1,1,2,1]=>[1,2,1,1,3,1,3] [3,1,4,1,1,1,1]=>[1,1,1,1,4,1,3] [2,1,4,1,1,2,1]=>[1,2,1,1,4,1,2] [2,1,4,1,2,1,1]=>[1,1,2,1,4,1,2] [2,1,3,1,3,1,1]=>[1,1,3,1,3,1,2] [2,1,3,1,2,2,1]=>[1,2,2,1,3,1,2] [4,1,2,2,1,1,1]=>[1,1,1,2,2,1,4] [3,1,2,2,1,2,1]=>[1,2,1,2,2,1,3] [2,1,3,2,1,2,1]=>[1,2,1,2,3,1,2] [3,1,2,3,1,1,1]=>[1,1,1,3,2,1,3] [2,1,3,3,1,1,1]=>[1,1,1,3,3,1,2] [2,1,3,2,2,1,1]=>[1,1,2,2,3,1,2] [2,1,2,3,2,1,1]=>[1,1,2,3,2,1,2] [2,1,2,2,3,1,1]=>[1,1,3,2,2,1,2] [5,2,1,1,1,1,1]=>[1,1,1,1,1,2,5] [3,2,1,1,3,1,1]=>[1,1,3,1,1,2,3] [3,2,1,1,2,2,1]=>[1,2,2,1,1,2,3] [4,2,1,2,1,1,1]=>[1,1,1,2,1,2,4] [2,2,1,4,1,1,1]=>[1,1,1,4,1,2,2] [2,2,1,2,3,1,1]=>[1,1,3,2,1,2,2] [3,3,1,1,2,1,1]=>[1,1,2,1,1,3,3] [2,3,1,1,3,1,1]=>[1,1,3,1,1,3,2] [2,4,1,1,1,2,1]=>[1,2,1,1,1,4,2] [1,4,1,1,2,2,1]=>[1,2,2,1,1,4,1] [2,3,1,2,1,2,1]=>[1,2,1,2,1,3,2] [2,4,1,2,1,1,1]=>[1,1,1,2,1,4,2] [1,4,1,2,1,2,1]=>[1,2,1,2,1,4,1] [2,3,1,3,1,1,1]=>[1,1,1,3,1,3,2] [1,4,1,2,2,1,1]=>[1,1,2,2,1,4,1] [4,2,2,1,1,1,1]=>[1,1,1,1,2,2,4] [3,2,2,1,1,2,1]=>[1,2,1,1,2,2,3] [2,2,2,1,3,1,1]=>[1,1,3,1,2,2,2] [3,3,2,1,1,1,1]=>[1,1,1,1,2,3,3] [1,5,2,1,1,1,1]=>[1,1,1,1,2,5,1] [1,4,2,1,1,2,1]=>[1,2,1,1,2,4,1] [3,2,3,1,1,1,1]=>[1,1,1,1,3,2,3] [2,2,3,1,1,2,1]=>[1,2,1,1,3,2,2] [2,3,3,1,1,1,1]=>[1,1,1,1,3,3,2] [2,2,4,1,1,1,1]=>[1,1,1,1,4,2,2] [1,3,4,1,1,1,1]=>[1,1,1,1,4,3,1] [2,2,3,1,2,1,1]=>[1,1,2,1,3,2,2] [1,4,2,2,1,1,1]=>[1,1,1,2,2,4,1] [1,2,4,2,1,1,1]=>[1,1,1,2,4,2,1] [1,3,2,3,1,1,1]=>[1,1,1,3,2,3,1] [1,2,2,4,1,1,1]=>[1,1,1,4,2,2,1] [1,1,2,1,1,1,1,2,2]=>[2,2,1,1,1,1,2,1,1] [1,1,1,1,1,1,2,2,2]=>[2,2,2,1,1,1,1,1,1] [1,2,1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1,2,1] [2,2,1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1,2,2] [1,1,1,1,1,2,2,1,2]=>[2,1,2,2,1,1,1,1,1] [1,1,1,1,2,2,1,1,2]=>[2,1,1,2,2,1,1,1,1] [2,1,1,2,2,1,1,1,1]=>[1,1,1,1,2,2,1,1,2] [2,1,1,1,1,2,2,1,1]=>[1,1,2,2,1,1,1,1,2] [2,2,1,2,1,1,3]=>[3,1,1,2,1,2,2] [2,1,2,2,1,1,3]=>[3,1,1,2,2,1,2] [1,2,1,1,3,1,1,1,1]=>[1,1,1,1,3,1,1,2,1] [1,1,1,2,3,1,1,1,1]=>[1,1,1,1,3,2,1,1,1] [1,1,1,1,1,1,1,2,3]=>[3,2,1,1,1,1,1,1,1] [1,3,1,1,4,1,1]=>[1,1,4,1,1,3,1] [1,1,1,3,4,1,1]=>[1,1,4,3,1,1,1] [1,1,1,1,2,3,3]=>[3,3,2,1,1,1,1] [1,1,1,1,1,2,1,1,3]=>[3,1,1,2,1,1,1,1,1] [1,1,1,1,1,2,3,1,1]=>[1,1,3,2,1,1,1,1,1] [1,4,1,1,5]=>[5,1,1,4,1] [1,3,2,1,1,1,3]=>[3,1,1,1,2,3,1] [1,1,2,1,1,3,3]=>[3,3,1,1,2,1,1] [1,1,1,2,1,1,1,1,3]=>[3,1,1,1,1,2,1,1,1] [1,1,1,2,1,1,3,1,1]=>[1,1,3,1,1,2,1,1,1] [1,1,1,1,1,3,4]=>[4,3,1,1,1,1,1] [1,3,3,1,1,1,2]=>[2,1,1,1,3,3,1] [2,3,2,1,1,1,2]=>[2,1,1,1,2,3,2] [1,1,1,3,1,1,4]=>[4,1,1,3,1,1,1] [1,3,1,1,3,1,2]=>[2,1,3,1,1,3,1] [1,2,3,1,1,2,2]=>[2,2,1,1,3,2,1] [1,2,1,1,1,1,3,1,1]=>[1,1,3,1,1,1,1,2,1] [2,1,1,3,3,1,1]=>[1,1,3,3,1,1,2] [1,3,3,1,3,1]=>[1,3,1,3,3,1] [2,3,1,2,4]=>[4,2,1,3,2] [2,3,1,1,2,1,2]=>[2,1,2,1,1,3,2] [2,2,2,2,1,1,2]=>[2,1,1,2,2,2,2] [2,1,1,3,1,1,3]=>[3,1,1,3,1,1,2] [2,3,1,1,1,1,3]=>[3,1,1,1,1,3,2] [2,2,1,3,4]=>[4,3,1,2,2] [2,2,1,1,1,2,3]=>[3,2,1,1,1,2,2] [2,2,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,2,2] [2,2,2,1,1,2,2]=>[2,2,1,1,2,2,2] [2,2,1,1,2,2,2]=>[2,2,2,1,1,2,2] [2,1,1,3,2,1,2]=>[2,1,2,3,1,1,2] [2,1,1,2,1,2,3]=>[3,2,1,2,1,1,2] [1,1,1,1,1,6,2]=>[2,6,1,1,1,1,1] [1,2,1,1,1,1,6]=>[6,1,1,1,1,2,1] [1,2,1,1,1,2,5]=>[5,2,1,1,1,2,1] [1,1,1,1,2,5,2]=>[2,5,2,1,1,1,1] [1,2,1,1,2,1,5]=>[5,1,2,1,1,2,1] [1,2,1,1,1,3,4]=>[4,3,1,1,1,2,1] [1,1,1,2,1,5,2]=>[2,5,1,2,1,1,1] [1,1,1,1,3,4,2]=>[2,4,3,1,1,1,1] [1,2,1,2,1,1,5]=>[5,1,1,2,1,2,1] [1,2,1,1,2,2,4]=>[4,2,2,1,1,2,1] [1,2,1,1,1,4,3]=>[3,4,1,1,1,2,1] [1,1,3,1,1,1,5]=>[5,1,1,1,3,1,1] [1,1,2,1,1,5,2]=>[2,5,1,1,2,1,1] [1,1,1,2,2,4,2]=>[2,4,2,2,1,1,1] [1,1,1,1,5,1,3]=>[3,1,5,1,1,1,1] [1,1,1,1,4,3,2]=>[2,3,4,1,1,1,1] [1,2,2,1,1,1,5]=>[5,1,1,1,2,2,1] [1,2,1,2,1,2,4]=>[4,2,1,2,1,2,1] [1,2,1,1,3,1,4]=>[4,1,3,1,1,2,1] [1,2,1,1,2,3,3]=>[3,3,2,1,1,2,1] [1,2,1,1,1,5,2]=>[2,5,1,1,1,2,1] [1,1,3,1,1,2,4]=>[4,2,1,1,3,1,1] [1,1,2,1,2,4,2]=>[2,4,2,1,2,1,1] [1,1,1,4,1,1,4]=>[4,1,1,4,1,1,1] [1,1,1,3,1,4,2]=>[2,4,1,3,1,1,1] [1,1,1,2,4,1,3]=>[3,1,4,2,1,1,1] [1,1,1,2,3,3,2]=>[2,3,3,2,1,1,1] [1,1,1,1,5,2,2]=>[2,2,5,1,1,1,1] [1,2,2,1,1,2,4]=>[4,2,1,1,2,2,1] [1,2,1,2,2,1,4]=>[4,1,2,2,1,2,1] [1,2,1,2,1,3,3]=>[3,3,1,2,1,2,1] [1,2,1,1,3,2,3]=>[3,2,3,1,1,2,1] [1,2,1,1,2,4,2]=>[2,4,2,1,1,2,1] [1,1,3,1,2,1,4]=>[4,1,2,1,3,1,1] [1,1,3,1,1,3,3]=>[3,3,1,1,3,1,1] [1,1,2,3,1,1,4]=>[4,1,1,3,2,1,1] [1,1,2,2,1,4,2]=>[2,4,1,2,2,1,1] [1,1,2,1,4,1,3]=>[3,1,4,1,2,1,1] [1,1,2,1,3,3,2]=>[2,3,3,1,2,1,1] [1,1,1,4,1,2,3]=>[3,2,1,4,1,1,1] [1,1,1,3,3,1,3]=>[3,1,3,3,1,1,1] [1,1,1,3,2,3,2]=>[2,3,2,3,1,1,1] [1,1,1,2,4,2,2]=>[2,2,4,2,1,1,1] [1,2,2,2,1,2,3]=>[3,2,1,2,2,2,1] [1,2,2,2,2,1,3]=>[3,1,2,2,2,2,1] [1,1,3,2,1,2,3]=>[3,2,1,2,3,1,1] [1,1,3,2,2,1,3]=>[3,1,2,2,3,1,1] [1,1,2,3,1,2,3]=>[3,2,1,3,2,1,1] [1,2,1,3,1,2,3]=>[3,2,1,3,1,2,1] [1,1,2,3,2,1,3]=>[3,1,2,3,2,1,1] [1,2,1,3,2,1,3]=>[3,1,2,3,1,2,1] [1,2,2,1,1,3,3]=>[3,3,1,1,2,2,1] [1,2,1,2,2,2,3]=>[3,2,2,2,1,2,1] [1,2,1,2,3,1,3]=>[3,1,3,2,1,2,1] [1,1,1,4,2,1,3]=>[3,1,2,4,1,1,1] [1,2,2,1,2,2,3]=>[3,2,2,1,2,2,1] [1,2,2,1,3,1,3]=>[3,1,3,1,2,2,1] [1,1,1,3,1,3,3]=>[3,3,1,3,1,1,1] [1,1,2,2,1,3,3]=>[3,3,1,2,2,1,1] [1,2,2,1,2,1,4]=>[4,1,2,1,2,2,1] [1,1,1,3,2,2,3]=>[3,2,2,3,1,1,1] [1,1,2,2,2,2,3]=>[3,2,2,2,2,1,1] [1,1,2,2,3,1,3]=>[3,1,3,2,2,1,1] [1,1,3,1,2,2,3]=>[3,2,2,1,3,1,1] [1,1,3,1,3,1,3]=>[3,1,3,1,3,1,1] [1,2,2,2,1,1,4]=>[4,1,1,2,2,2,1] [1,1,1,2,1,4,3]=>[3,4,1,2,1,1,1] [1,1,2,1,1,4,3]=>[3,4,1,1,2,1,1] [1,1,1,2,2,3,3]=>[3,3,2,2,1,1,1] [1,1,2,1,2,3,3]=>[3,3,2,1,2,1,1] [1,1,1,2,3,2,3]=>[3,2,3,2,1,1,1] [1,1,2,1,3,2,3]=>[3,2,3,1,2,1,1] [1,2,1,1,4,1,3]=>[3,1,4,1,1,2,1] [1,1,3,2,1,1,4]=>[4,1,1,2,3,1,1] [1,1,1,4,2,2,2]=>[2,2,2,4,1,1,1] [1,1,2,1,4,2,2]=>[2,2,4,1,2,1,1] [1,2,1,1,4,2,2]=>[2,2,4,1,1,2,1] [1,1,3,1,1,4,2]=>[2,4,1,1,3,1,1] [1,2,2,1,1,4,2]=>[2,4,1,1,2,2,1] [1,1,1,2,2,2,4]=>[4,2,2,2,1,1,1] [1,1,1,2,3,1,4]=>[4,1,3,2,1,1,1] [1,1,1,3,2,1,4]=>[4,1,2,3,1,1,1] [1,1,2,2,2,1,4]=>[4,1,2,2,2,1,1] [1,2,1,2,1,4,2]=>[2,4,1,2,1,2,1] [1,1,1,1,3,2,4]=>[4,2,3,1,1,1,1] [1,1,1,3,1,2,4]=>[4,2,1,3,1,1,1] [1,1,1,1,3,3,3]=>[3,3,3,1,1,1,1] [1,1,2,1,3,1,4]=>[4,1,3,1,2,1,1] [1,1,1,1,4,2,3]=>[3,2,4,1,1,1,1] [1,2,1,3,1,1,4]=>[4,1,1,3,1,2,1] [1,1,1,4,1,3,2]=>[2,3,1,4,1,1,1] [1,2,1,3,1,3,2]=>[2,3,1,3,1,2,1] [1,1,3,2,2,2,2]=>[2,2,2,2,3,1,1] [1,1,3,2,1,3,2]=>[2,3,1,2,3,1,1] [1,1,2,2,1,2,4]=>[4,2,1,2,2,1,1] [1,1,3,1,3,2,2]=>[2,2,3,1,3,1,1] [1,1,2,3,2,2,2]=>[2,2,2,3,2,1,1] [1,1,2,2,1,1,5]=>[5,1,1,2,2,1,1] [1,1,2,2,2,3,2]=>[2,3,2,2,2,1,1] [1,1,2,1,2,2,4]=>[4,2,2,1,2,1,1] [1,1,3,1,2,3,2]=>[2,3,2,1,3,1,1] [1,1,2,2,3,2,2]=>[2,2,3,2,2,1,1] [1,1,2,1,2,1,5]=>[5,1,2,1,2,1,1] [1,1,2,3,1,3,2]=>[2,3,1,3,2,1,1] [1,1,2,1,1,3,4]=>[4,3,1,1,2,1,1] [1,1,2,1,1,2,5]=>[5,2,1,1,2,1,1] [1,1,1,2,2,1,5]=>[5,1,2,2,1,1,1] [1,2,1,2,3,2,2]=>[2,2,3,2,1,2,1] [1,2,2,1,2,3,2]=>[2,3,2,1,2,2,1] [1,2,1,3,2,2,2]=>[2,2,2,3,1,2,1] [1,2,2,1,3,2,2]=>[2,2,3,1,2,2,1] [1,2,2,2,1,3,2]=>[2,3,1,2,2,2,1] [1,2,2,2,2,2,2]=>[2,2,2,2,2,2,1] [1,1,1,1,1,5,3]=>[3,5,1,1,1,1,1] [1,1,1,1,2,4,3]=>[3,4,2,1,1,1,1] [1,1,1,1,4,1,4]=>[4,1,4,1,1,1,1] [1,1,1,1,1,4,4]=>[4,4,1,1,1,1,1] [1,1,1,1,2,3,4]=>[4,3,2,1,1,1,1] [1,1,1,3,3,2,2]=>[2,2,3,3,1,1,1] [1,2,1,1,3,3,2]=>[2,3,3,1,1,2,1] [1,1,1,1,1,3,5]=>[5,3,1,1,1,1,1] [1,1,1,1,1,2,6]=>[6,2,1,1,1,1,1] [1,1,1,2,1,3,4]=>[4,3,1,2,1,1,1] [1,1,1,1,3,1,5]=>[5,1,3,1,1,1,1] [1,1,1,2,1,2,5]=>[5,2,1,2,1,1,1] [1,1,1,1,2,2,5]=>[5,2,2,1,1,1,1] [1,1,1,2,1,1,6]=>[6,1,1,2,1,1,1] [1,1,1,1,1,1,7]=>[7,1,1,1,1,1,1] [1,1,1,1,2,1,6]=>[6,1,2,1,1,1,1] [1,1,2,1,1,1,6]=>[6,1,1,1,2,1,1] [1,1,1,3,1,1,5]=>[5,1,1,3,1,1,1] [2,6,1,1,1,1,1]=>[1,1,1,1,1,6,2] [6,1,1,1,1,2,1]=>[1,2,1,1,1,1,6] [2,5,2,1,1,1,1]=>[1,1,1,1,2,5,2] [5,2,1,1,1,2,1]=>[1,2,1,1,1,2,5] [2,4,3,1,1,1,1]=>[1,1,1,1,3,4,2] [2,5,1,2,1,1,1]=>[1,1,1,2,1,5,2] [4,3,1,1,1,2,1]=>[1,2,1,1,1,3,4] [5,1,2,1,1,2,1]=>[1,2,1,1,2,1,5] [2,3,4,1,1,1,1]=>[1,1,1,1,4,3,2] [2,4,2,2,1,1,1]=>[1,1,1,2,2,4,2] [2,5,1,1,2,1,1]=>[1,1,2,1,1,5,2] [3,1,5,1,1,1,1]=>[1,1,1,1,5,1,3] [3,4,1,1,1,2,1]=>[1,2,1,1,1,4,3] [4,2,2,1,1,2,1]=>[1,2,1,1,2,2,4] [5,1,1,1,3,1,1]=>[1,1,3,1,1,1,5] [5,1,1,2,1,2,1]=>[1,2,1,2,1,1,5] [2,2,5,1,1,1,1]=>[1,1,1,1,5,2,2] [2,3,3,2,1,1,1]=>[1,1,1,2,3,3,2] [2,4,1,3,1,1,1]=>[1,1,1,3,1,4,2] [2,4,2,1,2,1,1]=>[1,1,2,1,2,4,2] [2,5,1,1,1,2,1]=>[1,2,1,1,1,5,2] [3,1,4,2,1,1,1]=>[1,1,1,2,4,1,3] [3,3,2,1,1,2,1]=>[1,2,1,1,2,3,3] [4,1,1,4,1,1,1]=>[1,1,1,4,1,1,4] [4,1,3,1,1,2,1]=>[1,2,1,1,3,1,4] [4,2,1,1,3,1,1]=>[1,1,3,1,1,2,4] [4,2,1,2,1,2,1]=>[1,2,1,2,1,2,4] [5,1,1,1,2,2,1]=>[1,2,2,1,1,1,5] [2,2,4,2,1,1,1]=>[1,1,1,2,4,2,2] [2,3,2,3,1,1,1]=>[1,1,1,3,2,3,2] [2,3,3,1,2,1,1]=>[1,1,2,1,3,3,2] [2,4,1,2,2,1,1]=>[1,1,2,2,1,4,2] [2,4,2,1,1,2,1]=>[1,2,1,1,2,4,2] [3,1,3,3,1,1,1]=>[1,1,1,3,3,1,3] [3,1,4,1,2,1,1]=>[1,1,2,1,4,1,3] [3,2,1,4,1,1,1]=>[1,1,1,4,1,2,3] [3,2,3,1,1,2,1]=>[1,2,1,1,3,2,3] [3,3,1,1,3,1,1]=>[1,1,3,1,1,3,3] [3,3,1,2,1,2,1]=>[1,2,1,2,1,3,3] [4,1,1,3,2,1,1]=>[1,1,2,3,1,1,4] [4,1,2,1,3,1,1]=>[1,1,3,1,2,1,4] [4,1,2,2,1,2,1]=>[1,2,1,2,2,1,4] [4,2,1,1,2,2,1]=>[1,2,2,1,1,2,4] [2,1,1,1,1,1,6]=>[6,1,1,1,1,1,2] [6,1,2,1,1,1,1]=>[1,1,1,1,2,1,6] [2,1,1,1,1,2,5]=>[5,2,1,1,1,1,2] [5,1,2,1,1,1,2]=>[2,1,1,1,2,1,5] [2,1,1,1,1,3,4]=>[4,3,1,1,1,1,2] [2,1,1,1,2,1,5]=>[5,1,2,1,1,1,2] [4,1,2,1,1,1,3]=>[3,1,1,1,2,1,4] [2,1,1,1,1,4,3]=>[3,4,1,1,1,1,2] [2,1,1,1,2,2,4]=>[4,2,2,1,1,1,2] [2,1,1,2,1,1,5]=>[5,1,1,2,1,1,2] [3,1,1,1,1,5,1]=>[1,5,1,1,1,1,3] [3,1,2,1,1,1,4]=>[4,1,1,1,2,1,3] [4,1,2,1,1,2,2]=>[2,2,1,1,2,1,4] [5,1,1,3,1,1,1]=>[1,1,1,3,1,1,5] [5,1,2,1,2,1,1]=>[1,1,2,1,2,1,5] [2,1,1,1,1,5,2]=>[2,5,1,1,1,1,2] [2,1,1,1,2,3,3]=>[3,3,2,1,1,1,2] [2,1,1,1,3,1,4]=>[4,1,3,1,1,1,2] [2,1,1,2,1,2,4]=>[4,2,1,2,1,1,2] [2,1,2,1,1,1,5]=>[5,1,1,1,2,1,2] [3,1,1,1,2,4,1]=>[1,4,2,1,1,1,3] [3,1,2,1,1,2,3]=>[3,2,1,1,2,1,3] [4,1,1,1,4,1,1]=>[1,1,4,1,1,1,4] [4,1,2,1,1,3,1]=>[1,3,1,1,2,1,4] [4,1,1,3,1,1,2]=>[2,1,1,3,1,1,4] [4,1,2,1,2,1,2]=>[2,1,2,1,2,1,4] [5,1,2,2,1,1,1]=>[1,1,1,2,2,1,5] [2,1,1,1,2,4,2]=>[2,4,2,1,1,1,2] [2,1,1,1,3,2,3]=>[3,2,3,1,1,1,2] [2,1,1,2,1,3,3]=>[3,3,1,2,1,1,2] [2,1,1,2,2,1,4]=>[4,1,2,2,1,1,2] [2,1,2,1,1,2,4]=>[4,2,1,1,2,1,2] [3,1,1,1,3,3,1]=>[1,3,3,1,1,1,3] [3,1,1,2,1,4,1]=>[1,4,1,2,1,1,3] [3,1,1,1,4,1,2]=>[2,1,4,1,1,1,3] [3,1,2,1,1,3,2]=>[2,3,1,1,2,1,3] [3,1,1,3,1,1,3]=>[3,1,1,3,1,1,3] [3,1,2,1,2,1,3]=>[3,1,2,1,2,1,3] [4,1,1,2,3,1,1]=>[1,1,3,2,1,1,4] [4,1,1,3,1,2,1]=>[1,2,1,3,1,1,4] [4,1,2,1,2,2,1]=>[1,2,2,1,2,1,4] [4,1,2,2,1,1,2]=>[2,1,1,2,2,1,4] [1,1,1,1,6,2,1]=>[1,2,6,1,1,1,1] [2,1,1,1,1,6,1]=>[1,6,1,1,1,1,2] [1,1,1,2,5,2,1]=>[1,2,5,2,1,1,1] [2,1,1,1,2,5,1]=>[1,5,2,1,1,1,2] [1,1,1,3,4,2,1]=>[1,2,4,3,1,1,1] [1,1,2,1,5,2,1]=>[1,2,5,1,2,1,1] [2,1,1,1,3,4,1]=>[1,4,3,1,1,1,2] [2,1,1,2,1,5,1]=>[1,5,1,2,1,1,2] [1,1,1,4,3,2,1]=>[1,2,3,4,1,1,1] [1,1,2,2,4,2,1]=>[1,2,4,2,2,1,1] [1,2,1,1,5,2,1]=>[1,2,5,1,1,2,1] [1,1,1,5,1,3,1]=>[1,3,1,5,1,1,1] [2,1,1,1,4,3,1]=>[1,3,4,1,1,1,2] [2,1,1,2,2,4,1]=>[1,4,2,2,1,1,2] [1,3,1,1,1,5,1]=>[1,5,1,1,1,3,1] [2,1,2,1,1,5,1]=>[1,5,1,1,2,1,2] [1,1,1,5,2,2,1]=>[1,2,2,5,1,1,1] [1,1,2,3,3,2,1]=>[1,2,3,3,2,1,1] [1,1,3,1,4,2,1]=>[1,2,4,1,3,1,1] [1,2,1,2,4,2,1]=>[1,2,4,2,1,2,1] [2,1,1,1,5,2,1]=>[1,2,5,1,1,1,2] [1,1,2,4,1,3,1]=>[1,3,1,4,2,1,1] [2,1,1,2,3,3,1]=>[1,3,3,2,1,1,2] [1,1,4,1,1,4,1]=>[1,4,1,1,4,1,1] [2,1,1,3,1,4,1]=>[1,4,1,3,1,1,2] [1,3,1,1,2,4,1]=>[1,4,2,1,1,3,1] [2,1,2,1,2,4,1]=>[1,4,2,1,2,1,2] [2,2,1,1,1,5,1]=>[1,5,1,1,1,2,2] [1,1,2,4,2,2,1]=>[1,2,2,4,2,1,1] [1,1,3,2,3,2,1]=>[1,2,3,2,3,1,1] [1,2,1,3,3,2,1]=>[1,2,3,3,1,2,1] [1,2,2,1,4,2,1]=>[1,2,4,1,2,2,1] [2,1,1,2,4,2,1]=>[1,2,4,2,1,1,2] [1,1,3,3,1,3,1]=>[1,3,1,3,3,1,1] [1,2,1,4,1,3,1]=>[1,3,1,4,1,2,1] [1,1,4,1,2,3,1]=>[1,3,2,1,4,1,1] [2,1,1,3,2,3,1]=>[1,3,2,3,1,1,2] [1,3,1,1,3,3,1]=>[1,3,3,1,1,3,1] [2,1,2,1,3,3,1]=>[1,3,3,1,2,1,2] [1,2,3,1,1,4,1]=>[1,4,1,1,3,2,1] [1,3,1,2,1,4,1]=>[1,4,1,2,1,3,1] [2,1,2,2,1,4,1]=>[1,4,1,2,2,1,2] [2,2,1,1,2,4,1]=>[1,4,2,1,1,2,2] [1,5,1,1,1,1,3]=>[3,1,1,1,1,5,1] [1,4,1,1,1,1,4]=>[4,1,1,1,1,4,1] [4,1,1,2,1,1,3]=>[3,1,1,2,1,1,4] [1,3,2,1,1,1,4]=>[4,1,1,1,2,3,1] [1,4,1,1,1,2,3]=>[3,2,1,1,1,4,1] [3,2,1,2,1,1,3]=>[3,1,1,2,1,2,3] [4,1,1,2,1,2,2]=>[2,2,1,2,1,1,4] [1,2,3,1,1,1,4]=>[4,1,1,1,3,2,1] [1,3,1,1,1,1,5]=>[5,1,1,1,1,3,1] [1,4,1,1,2,1,3]=>[3,1,2,1,1,4,1] [2,4,1,1,1,2,2]=>[2,2,1,1,1,4,2] [2,3,1,2,1,1,3]=>[3,1,1,2,1,3,2] [3,1,1,1,2,1,4]=>[4,1,2,1,1,1,3] [4,2,1,2,1,1,2]=>[2,1,1,2,1,2,4] [4,1,1,2,2,1,2]=>[2,1,2,2,1,1,4] [1,1,4,1,1,1,4]=>[4,1,1,1,4,1,1] [1,3,2,1,1,2,3]=>[3,2,1,1,2,3,1] [1,3,1,1,1,2,4]=>[4,2,1,1,1,3,1] [1,4,1,2,1,1,3]=>[3,1,1,2,1,4,1] [2,3,1,1,1,3,2]=>[2,3,1,1,1,3,2] [2,2,1,1,2,1,4]=>[4,1,2,1,1,2,2] [3,3,1,1,2,1,2]=>[2,1,2,1,1,3,3] [3,2,1,2,1,2,2]=>[2,2,1,2,1,2,3] [3,1,1,1,2,2,3]=>[3,2,2,1,1,1,3] [1,3,1,1,1,3,3]=>[3,3,1,1,1,3,1] [1,3,1,1,2,1,4]=>[4,1,2,1,1,3,1] [2,2,2,1,1,3,2]=>[2,3,1,1,2,2,2] [2,3,1,1,2,2,2]=>[2,2,2,1,1,3,2] [2,1,3,1,1,2,3]=>[3,2,1,1,3,1,2] [2,1,2,1,2,1,4]=>[4,1,2,1,2,1,2] [2,2,2,1,2,1,3]=>[3,1,2,1,2,2,2] [2,2,1,1,2,2,3]=>[3,2,2,1,1,2,2] [3,2,1,1,3,1,2]=>[2,1,3,1,1,2,3] [3,1,2,1,2,2,2]=>[2,2,2,1,2,1,3] [3,1,1,1,2,3,2]=>[2,3,2,1,1,1,3] [3,1,1,1,3,1,3]=>[3,1,3,1,1,1,3] [2,2,1,1,1,1,5]=>[5,1,1,1,1,2,2] [2,2,1,1,1,2,4]=>[4,2,1,1,1,2,2] [2,2,1,1,1,3,3]=>[3,3,1,1,1,2,2] [2,1,1,1,5,1,2]=>[2,1,5,1,1,1,2] [2,2,1,1,1,4,2]=>[2,4,1,1,1,2,2] [2,1,3,1,1,1,4]=>[4,1,1,1,3,1,2] [2,2,1,2,1,1,4]=>[4,1,1,2,1,2,2] [2,1,1,2,4,1,2]=>[2,1,4,2,1,1,2] [2,2,1,1,2,3,2]=>[2,3,2,1,1,2,2] [2,1,1,4,1,1,3]=>[3,1,1,4,1,1,2] [2,2,1,1,3,1,3]=>[3,1,3,1,1,2,2] [2,2,1,2,1,2,3]=>[3,2,1,2,1,2,2] [2,2,2,1,1,1,4]=>[4,1,1,1,2,2,2] [2,1,1,3,3,1,2]=>[2,1,3,3,1,1,2] [2,1,2,1,4,1,2]=>[2,1,4,1,2,1,2] [2,1,1,4,1,2,2]=>[2,2,1,4,1,1,2] [2,2,1,1,3,2,2]=>[2,2,3,1,1,2,2] [2,1,3,1,1,3,2]=>[2,3,1,1,3,1,2] [2,2,1,2,1,3,2]=>[2,3,1,2,1,2,2] [2,1,2,3,1,1,3]=>[3,1,1,3,2,1,2] [2,1,3,1,2,1,3]=>[3,1,2,1,3,1,2] [2,2,1,2,2,1,3]=>[3,1,2,2,1,2,2] [2,2,2,1,1,2,3]=>[3,2,1,1,2,2,2] [1,2,2,1,2,2,1,1,1]=>[1,1,1,2,2,1,2,2,1] [1,1,1,2,2,1,2,2,1]=>[1,2,2,1,2,2,1,1,1] [1,2,5,2,1,1,1]=>[1,1,1,2,5,2,1] [1,2,3,1,1,2,1,1,1]=>[1,1,1,2,1,1,3,2,1] [1,2,1,1,3,2,1,1,1]=>[1,1,1,2,3,1,1,2,1] [1,1,1,2,3,1,1,2,1]=>[1,2,1,1,3,2,1,1,1] [1,1,1,2,1,1,3,2,1]=>[1,2,3,1,1,2,1,1,1] [1,2,3,4,1,1,1]=>[1,1,1,4,3,2,1] [1,2,1,1,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,1,1,2,1] [1,4,3,2,1,1,1]=>[1,1,1,2,3,4,1] [1,2,3,2,1,3,1]=>[1,3,1,2,3,2,1] [1,1,1,2,3,4,1]=>[1,4,3,2,1,1,1] [1,1,1,2,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,2,1,1,1] [1,3,1,2,3,2,1]=>[1,2,3,2,1,3,1] [1,2,3,2,1,1,1,1,1]=>[1,1,1,1,1,2,3,2,1] [1,2,1,1,1,4,1,1,1]=>[1,1,1,4,1,1,1,2,1] [1,2,1,3,1,2,1,1,1]=>[1,1,1,2,1,3,1,2,1] [1,4,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,4,1] [1,1,1,2,3,2,1,1,1]=>[1,1,1,2,3,2,1,1,1] [1,2,1,1,1,2,1,3,1]=>[1,3,1,2,1,1,1,2,1] [1,1,1,2,1,1,1,4,1]=>[1,4,1,1,1,2,1,1,1] [1,2,1,2,1,2,1,2,1]=>[1,2,1,2,1,2,1,2,1] [1,1,1,2,1,3,1,2,1]=>[1,2,1,3,1,2,1,1,1] [1,3,1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1,3,1] [1,1,1,4,1,1,1,2,1]=>[1,2,1,1,1,4,1,1,1] [1,1,1,1,1,2,3,2,1]=>[1,2,3,2,1,1,1,1,1] [1,2,1,1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1,1,2,1] [1,2,1,6,1,1,1]=>[1,1,1,6,1,2,1] [1,4,1,4,1,1,1]=>[1,1,1,4,1,4,1] [1,6,1,2,1,1,1]=>[1,1,1,2,1,6,1] [1,1,1,2,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,2,1,1,1] [1,4,1,2,1,3,1]=>[1,3,1,2,1,4,1] [1,2,1,2,1,5,1]=>[1,5,1,2,1,2,1] [1,1,1,2,1,6,1]=>[1,6,1,2,1,1,1] [1,1,1,4,1,4,1]=>[1,4,1,4,1,1,1] [1,5,1,2,1,2,1]=>[1,2,1,2,1,5,1] [1,3,1,4,1,2,1]=>[1,2,1,4,1,3,1] [1,1,1,6,1,2,1]=>[1,2,1,6,1,1,1] [1,1,1,1,1,2,1,1,1,2,1]=>[1,2,1,1,1,2,1,1,1,1,1] [1,2,1,2,2,3,2]=>[2,3,2,2,1,2,1] [5,4,3,1]=>[1,3,4,5] [5,4,2,2]=>[2,2,4,5] [5,4,2,1,1]=>[1,1,2,4,5] [5,3,3,2]=>[2,3,3,5] [5,3,3,1,1]=>[1,1,3,3,5] [5,3,2,2,1]=>[1,2,2,3,5] [4,4,3,2]=>[2,3,4,4] [4,4,3,1,1]=>[1,1,3,4,4] [4,4,2,2,1]=>[1,2,2,4,4] [4,3,3,2,1]=>[1,2,3,3,4] [4,1,3,1,2,1,1]=>[1,1,2,1,3,1,4] [2,2,1,3,1,4]=>[4,1,3,1,2,2] [2,2,2,2,2,2,1]=>[1,2,2,2,2,2,2] [2,2,2,2,3,1,1]=>[1,1,3,2,2,2,2] [2,2,2,3,1,2,1]=>[1,2,1,3,2,2,2] [2,2,2,3,2,1,1]=>[1,1,2,3,2,2,2] [2,2,2,4,1,1,1]=>[1,1,1,4,2,2,2] [2,2,3,1,2,2,1]=>[1,2,2,1,3,2,2] [2,2,3,1,3,1,1]=>[1,1,3,1,3,2,2] [2,2,3,2,1,2,1]=>[1,2,1,2,3,2,2] [2,2,3,2,2,1,1]=>[1,1,2,2,3,2,2] [2,2,3,3,1,1,1]=>[1,1,1,3,3,2,2] [2,2,4,1,1,2,1]=>[1,2,1,1,4,2,2] [2,2,4,1,2,1,1]=>[1,1,2,1,4,2,2] [2,3,1,2,2,2,1]=>[1,2,2,2,1,3,2] [2,3,1,2,3,1,1]=>[1,1,3,2,1,3,2] [2,3,1,3,1,2,1]=>[1,2,1,3,1,3,2] [2,3,1,3,2,1,1]=>[1,1,2,3,1,3,2] [2,3,1,4,1,1,1]=>[1,1,1,4,1,3,2] [2,3,2,1,2,2,1]=>[1,2,2,1,2,3,2] [2,3,2,1,3,1,1]=>[1,1,3,1,2,3,2] [2,3,2,2,1,2,1]=>[1,2,1,2,2,3,2] [2,3,2,2,2,1,1]=>[1,1,2,2,2,3,2] [2,3,3,1,1,2,1]=>[1,2,1,1,3,3,2] [2,4,1,1,2,2,1]=>[1,2,2,1,1,4,2] [2,4,1,1,3,1,1]=>[1,1,3,1,1,4,2] [2,4,1,2,1,2,1]=>[1,2,1,2,1,4,2] [3,1,2,2,2,2,1]=>[1,2,2,2,2,1,3] [3,1,2,2,3,1,1]=>[1,1,3,2,2,1,3] [3,1,2,3,1,2,1]=>[1,2,1,3,2,1,3] [3,1,2,3,2,1,1]=>[1,1,2,3,2,1,3] [3,1,2,4,1,1,1]=>[1,1,1,4,2,1,3] [3,1,3,1,2,2,1]=>[1,2,2,1,3,1,3] [3,1,3,1,3,1,1]=>[1,1,3,1,3,1,3] [3,1,3,2,1,2,1]=>[1,2,1,2,3,1,3] [3,1,3,2,2,1,1]=>[1,1,2,2,3,1,3] [3,1,4,1,1,2,1]=>[1,2,1,1,4,1,3] [3,2,1,2,2,2,1]=>[1,2,2,2,1,2,3] [3,2,1,2,3,1,1]=>[1,1,3,2,1,2,3] [3,2,1,3,1,2,1]=>[1,2,1,3,1,2,3] [3,2,1,3,2,1,1]=>[1,1,2,3,1,2,3] [3,2,2,1,2,2,1]=>[1,2,2,1,2,2,3] [3,2,2,1,3,1,1]=>[1,1,3,1,2,2,3] [3,2,2,2,1,2,1]=>[1,2,1,2,2,2,3] [3,2,2,2,2,1,1]=>[1,1,2,2,2,2,3] [3,2,2,3,1,1,1]=>[1,1,1,3,2,2,3] [3,2,3,1,2,1,1]=>[1,1,2,1,3,2,3] [3,2,3,2,1,1,1]=>[1,1,1,2,3,2,3] [3,2,4,1,1,1,1]=>[1,1,1,1,4,2,3] [3,3,1,1,2,2,1]=>[1,2,2,1,1,3,3] [3,3,1,2,2,1,1]=>[1,1,2,2,1,3,3] [3,3,1,3,1,1,1]=>[1,1,1,3,1,3,3] [3,3,2,1,2,1,1]=>[1,1,2,1,2,3,3] [3,3,2,2,1,1,1]=>[1,1,1,2,2,3,3] [3,3,3,1,1,1,1]=>[1,1,1,1,3,3,3] [3,4,1,1,2,1,1]=>[1,1,2,1,1,4,3] [3,4,1,2,1,1,1]=>[1,1,1,2,1,4,3] [3,4,2,1,1,1,1]=>[1,1,1,1,2,4,3] [3,5,1,1,1,1,1]=>[1,1,1,1,1,5,3] [4,1,1,2,2,2,1]=>[1,2,2,2,1,1,4] [4,1,2,2,2,1,1]=>[1,1,2,2,2,1,4] [4,1,2,3,1,1,1]=>[1,1,1,3,2,1,4] [4,1,3,2,1,1,1]=>[1,1,1,2,3,1,4] [4,1,4,1,1,1,1]=>[1,1,1,1,4,1,4] [4,2,1,2,2,1,1]=>[1,1,2,2,1,2,4] [4,2,1,3,1,1,1]=>[1,1,1,3,1,2,4] [4,2,2,1,2,1,1]=>[1,1,2,1,2,2,4] [4,2,2,2,1,1,1]=>[1,1,1,2,2,2,4] [4,2,3,1,1,1,1]=>[1,1,1,1,3,2,4] [4,3,1,1,2,1,1]=>[1,1,2,1,1,3,4] [4,3,1,2,1,1,1]=>[1,1,1,2,1,3,4] [4,3,2,1,1,1,1]=>[1,1,1,1,2,3,4] [4,4,1,1,1,1,1]=>[1,1,1,1,1,4,4] [5,1,1,2,2,1,1]=>[1,1,2,2,1,1,5] [5,1,3,1,1,1,1]=>[1,1,1,1,3,1,5] [5,2,1,1,2,1,1]=>[1,1,2,1,1,2,5] [5,2,1,2,1,1,1]=>[1,1,1,2,1,2,5] [5,2,2,1,1,1,1]=>[1,1,1,1,2,2,5] [5,3,1,1,1,1,1]=>[1,1,1,1,1,3,5] [6,1,1,1,2,1,1]=>[1,1,2,1,1,1,6] [6,1,1,2,1,1,1]=>[1,1,1,2,1,1,6] [6,2,1,1,1,1,1]=>[1,1,1,1,1,2,6] [7,1,1,1,1,1,1]=>[1,1,1,1,1,1,7] [2,1,2,2,2,2,2]=>[2,2,2,2,2,1,2] [2,1,1,3,2,2,2]=>[2,2,2,3,1,1,2] [2,1,2,1,3,2,2]=>[2,2,3,1,2,1,2] [2,1,1,2,3,2,2]=>[2,2,3,2,1,1,2] [2,1,1,1,4,2,2]=>[2,2,4,1,1,1,2] [2,1,2,2,1,3,2]=>[2,3,1,2,2,1,2] [2,1,1,3,1,3,2]=>[2,3,1,3,1,1,2] [2,1,2,1,2,3,2]=>[2,3,2,1,2,1,2] [2,1,1,2,2,3,2]=>[2,3,2,2,1,1,2] [2,1,1,1,3,3,2]=>[2,3,3,1,1,1,2] [2,1,2,1,1,4,2]=>[2,4,1,1,2,1,2] [2,1,1,2,1,4,2]=>[2,4,1,2,1,1,2] [2,1,2,2,2,1,3]=>[3,1,2,2,2,1,2] [2,1,1,3,2,1,3]=>[3,1,2,3,1,1,2] [2,1,2,1,3,1,3]=>[3,1,3,1,2,1,2] [2,1,1,2,3,1,3]=>[3,1,3,2,1,1,2] [2,1,1,1,4,1,3]=>[3,1,4,1,1,1,2] [2,1,2,2,1,2,3]=>[3,2,1,2,2,1,2] [2,1,1,3,1,2,3]=>[3,2,1,3,1,1,2] [2,1,2,1,2,2,3]=>[3,2,2,1,2,1,2] [2,1,1,2,2,2,3]=>[3,2,2,2,1,1,2] [2,1,2,1,1,3,3]=>[3,3,1,1,2,1,2] [2,1,2,2,1,1,4]=>[4,1,1,2,2,1,2] [2,1,1,3,1,1,4]=>[4,1,1,3,1,1,2] [3,1,1,3,2,2,1]=>[1,2,2,3,1,1,3] [3,1,2,1,3,2,1]=>[1,2,3,1,2,1,3] [3,1,1,2,3,2,1]=>[1,2,3,2,1,1,3] [3,1,1,1,4,2,1]=>[1,2,4,1,1,1,3] [3,1,2,2,1,3,1]=>[1,3,1,2,2,1,3] [3,1,1,3,1,3,1]=>[1,3,1,3,1,1,3] [3,1,2,1,2,3,1]=>[1,3,2,1,2,1,3] [3,1,1,2,2,3,1]=>[1,3,2,2,1,1,3] [3,1,2,1,1,4,1]=>[1,4,1,1,2,1,3] [3,1,2,2,2,1,2]=>[2,1,2,2,2,1,3] [3,1,1,3,2,1,2]=>[2,1,2,3,1,1,3] [3,1,2,1,3,1,2]=>[2,1,3,1,2,1,3] [3,1,1,2,3,1,2]=>[2,1,3,2,1,1,3] [3,1,2,2,1,2,2]=>[2,2,1,2,2,1,3] [3,1,1,3,1,2,2]=>[2,2,1,3,1,1,3] [3,1,1,2,2,2,2]=>[2,2,2,2,1,1,3] [3,1,1,1,3,2,2]=>[2,2,3,1,1,1,3] [3,1,1,2,1,3,2]=>[2,3,1,2,1,1,3] [3,1,1,1,1,4,2]=>[2,4,1,1,1,1,3] [3,1,2,2,1,1,3]=>[3,1,1,2,2,1,3] [3,1,1,2,2,1,3]=>[3,1,2,2,1,1,3] [3,1,1,2,1,2,3]=>[3,2,1,2,1,1,3] [3,1,1,1,1,3,3]=>[3,3,1,1,1,1,3] [3,1,1,2,1,1,4]=>[4,1,1,2,1,1,3] [3,1,1,1,1,2,4]=>[4,2,1,1,1,1,3] [3,1,1,1,1,1,5]=>[5,1,1,1,1,1,3] [4,1,1,1,3,2,1]=>[1,2,3,1,1,1,4] [4,1,1,2,1,3,1]=>[1,3,1,2,1,1,4] [4,1,1,1,2,3,1]=>[1,3,2,1,1,1,4] [4,1,1,1,1,4,1]=>[1,4,1,1,1,1,4] [4,1,1,1,3,1,2]=>[2,1,3,1,1,1,4] [4,1,1,1,2,2,2]=>[2,2,2,1,1,1,4] [4,1,1,1,1,3,2]=>[2,3,1,1,1,1,4] [4,1,1,1,2,1,3]=>[3,1,2,1,1,1,4] [4,1,1,1,1,2,3]=>[3,2,1,1,1,1,4] [4,1,1,1,1,1,4]=>[4,1,1,1,1,1,4] [5,1,1,1,1,3,1]=>[1,3,1,1,1,1,5] [5,1,1,2,1,1,2]=>[2,1,1,2,1,1,5] [5,1,1,1,2,1,2]=>[2,1,2,1,1,1,5] [5,1,1,1,1,2,2]=>[2,2,1,1,1,1,5] [5,1,1,1,1,1,3]=>[3,1,1,1,1,1,5] [6,1,1,1,1,1,2]=>[2,1,1,1,1,1,6] [1,3,2,2,2,2,1]=>[1,2,2,2,2,3,1] [2,1,3,2,2,2,1]=>[1,2,2,2,3,1,2] [1,2,3,2,2,2,1]=>[1,2,2,2,3,2,1] [1,1,4,2,2,2,1]=>[1,2,2,2,4,1,1] [2,2,1,3,2,2,1]=>[1,2,2,3,1,2,2] [1,3,1,3,2,2,1]=>[1,2,2,3,1,3,1] [2,1,2,3,2,2,1]=>[1,2,2,3,2,1,2] [1,2,2,3,2,2,1]=>[1,2,2,3,2,2,1] [1,1,3,3,2,2,1]=>[1,2,2,3,3,1,1] [2,1,1,4,2,2,1]=>[1,2,2,4,1,1,2] [1,2,1,4,2,2,1]=>[1,2,2,4,1,2,1] [2,2,2,1,3,2,1]=>[1,2,3,1,2,2,2] [1,3,2,1,3,2,1]=>[1,2,3,1,2,3,1] [2,1,3,1,3,2,1]=>[1,2,3,1,3,1,2] [1,2,3,1,3,2,1]=>[1,2,3,1,3,2,1] [1,1,4,1,3,2,1]=>[1,2,3,1,4,1,1] [2,2,1,2,3,2,1]=>[1,2,3,2,1,2,2] [2,1,2,2,3,2,1]=>[1,2,3,2,2,1,2] [1,2,2,2,3,2,1]=>[1,2,3,2,2,2,1] [2,1,1,3,3,2,1]=>[1,2,3,3,1,1,2] [2,2,1,1,4,2,1]=>[1,2,4,1,1,2,2] [1,3,1,1,4,2,1]=>[1,2,4,1,1,3,1] [2,1,2,1,4,2,1]=>[1,2,4,1,2,1,2] [2,2,2,2,1,3,1]=>[1,3,1,2,2,2,2] [1,3,2,2,1,3,1]=>[1,3,1,2,2,3,1] [2,1,3,2,1,3,1]=>[1,3,1,2,3,1,2] [1,1,4,2,1,3,1]=>[1,3,1,2,4,1,1] [2,2,1,3,1,3,1]=>[1,3,1,3,1,2,2] [1,3,1,3,1,3,1]=>[1,3,1,3,1,3,1] [2,1,2,3,1,3,1]=>[1,3,1,3,2,1,2] [1,2,2,3,1,3,1]=>[1,3,1,3,2,2,1] [2,1,1,4,1,3,1]=>[1,3,1,4,1,1,2] [2,2,2,1,2,3,1]=>[1,3,2,1,2,2,2] [1,3,2,1,2,3,1]=>[1,3,2,1,2,3,1] [2,1,3,1,2,3,1]=>[1,3,2,1,3,1,2] [1,2,3,1,2,3,1]=>[1,3,2,1,3,2,1] [2,2,1,2,2,3,1]=>[1,3,2,2,1,2,2] [1,3,1,2,2,3,1]=>[1,3,2,2,1,3,1] [2,1,2,2,2,3,1]=>[1,3,2,2,2,1,2] [1,2,2,2,2,3,1]=>[1,3,2,2,2,2,1] [1,1,3,2,2,3,1]=>[1,3,2,2,3,1,1] [1,2,1,3,2,3,1]=>[1,3,2,3,1,2,1] [1,1,2,3,2,3,1]=>[1,3,2,3,2,1,1] [1,1,1,4,2,3,1]=>[1,3,2,4,1,1,1] [2,2,1,1,3,3,1]=>[1,3,3,1,1,2,2] [1,2,2,1,3,3,1]=>[1,3,3,1,2,2,1] [1,1,3,1,3,3,1]=>[1,3,3,1,3,1,1] [1,2,1,2,3,3,1]=>[1,3,3,2,1,2,1] [1,1,2,2,3,3,1]=>[1,3,3,2,2,1,1] [1,1,1,3,3,3,1]=>[1,3,3,3,1,1,1] [1,2,1,1,4,3,1]=>[1,3,4,1,1,2,1] [1,1,2,1,4,3,1]=>[1,3,4,1,2,1,1] [1,1,1,2,4,3,1]=>[1,3,4,2,1,1,1] [1,1,1,1,5,3,1]=>[1,3,5,1,1,1,1] [2,2,2,1,1,4,1]=>[1,4,1,1,2,2,2] [1,3,2,1,1,4,1]=>[1,4,1,1,2,3,1] [2,1,3,1,1,4,1]=>[1,4,1,1,3,1,2] [2,2,1,2,1,4,1]=>[1,4,1,2,1,2,2] [1,2,2,2,1,4,1]=>[1,4,1,2,2,2,1] [1,1,3,2,1,4,1]=>[1,4,1,2,3,1,1] [1,2,1,3,1,4,1]=>[1,4,1,3,1,2,1] [1,1,2,3,1,4,1]=>[1,4,1,3,2,1,1] [1,2,2,1,2,4,1]=>[1,4,2,1,2,2,1] [1,1,3,1,2,4,1]=>[1,4,2,1,3,1,1] [1,2,1,2,2,4,1]=>[1,4,2,2,1,2,1] [1,1,2,2,2,4,1]=>[1,4,2,2,2,1,1] [1,1,1,3,2,4,1]=>[1,4,2,3,1,1,1] [1,2,1,1,3,4,1]=>[1,4,3,1,1,2,1] [1,1,2,1,3,4,1]=>[1,4,3,1,2,1,1] [1,1,1,1,4,4,1]=>[1,4,4,1,1,1,1] [1,2,2,1,1,5,1]=>[1,5,1,1,2,2,1] [1,1,3,1,1,5,1]=>[1,5,1,1,3,1,1] [1,1,2,2,1,5,1]=>[1,5,1,2,2,1,1] [1,1,1,3,1,5,1]=>[1,5,1,3,1,1,1] [1,2,1,1,2,5,1]=>[1,5,2,1,1,2,1] [1,1,2,1,2,5,1]=>[1,5,2,1,2,1,1] [1,1,1,2,2,5,1]=>[1,5,2,2,1,1,1] [1,1,1,1,3,5,1]=>[1,5,3,1,1,1,1] [1,2,1,1,1,6,1]=>[1,6,1,1,1,2,1] [1,1,2,1,1,6,1]=>[1,6,1,1,2,1,1] [1,1,1,1,2,6,1]=>[1,6,2,1,1,1,1] [1,1,1,1,1,7,1]=>[1,7,1,1,1,1,1] [1,2,3,1,1,2,3]=>[3,2,1,1,3,2,1] [1,3,1,1,3,1,3]=>[3,1,3,1,1,3,1] [1,3,2,1,2,1,3]=>[3,1,2,1,2,3,1] [1,3,1,1,2,2,3]=>[3,2,2,1,1,3,1] [2,2,2,1,2,2,2]=>[2,2,2,1,2,2,2] [2,3,1,2,1,2,2]=>[2,2,1,2,1,3,2] [2,3,1,1,2,1,3]=>[3,1,2,1,1,3,2] [2,3,1,1,1,2,3]=>[3,2,1,1,1,3,2] [2,3,1,1,1,1,4]=>[4,1,1,1,1,3,2] [2,4,1,1,1,1,3]=>[3,1,1,1,1,4,2] [3,2,1,2,2,1,2]=>[2,1,2,2,1,2,3] [3,2,1,1,2,2,2]=>[2,2,2,1,1,2,3] [3,2,1,1,1,3,2]=>[2,3,1,1,1,2,3] [3,3,1,1,1,2,2]=>[2,2,1,1,1,3,3] [3,2,1,1,2,1,3]=>[3,1,2,1,1,2,3] [3,2,1,1,1,2,3]=>[3,2,1,1,1,2,3] [3,2,1,1,1,1,4]=>[4,1,1,1,1,2,3] [3,3,1,1,1,1,3]=>[3,1,1,1,1,3,3] [4,2,1,1,2,1,2]=>[2,1,2,1,1,2,4] [4,2,1,1,1,2,2]=>[2,2,1,1,1,2,4] [4,2,1,1,1,1,3]=>[3,1,1,1,1,2,4] [2,2,2,2,2,1,2]=>[2,1,2,2,2,2,2] [2,1,3,2,2,1,2]=>[2,1,2,2,3,1,2] [2,2,1,3,2,1,2]=>[2,1,2,3,1,2,2] [2,1,2,3,2,1,2]=>[2,1,2,3,2,1,2] [2,1,1,4,2,1,2]=>[2,1,2,4,1,1,2] [2,2,2,1,3,1,2]=>[2,1,3,1,2,2,2] [2,1,3,1,3,1,2]=>[2,1,3,1,3,1,2] [2,2,1,2,3,1,2]=>[2,1,3,2,1,2,2] [2,1,2,2,3,1,2]=>[2,1,3,2,2,1,2] [2,2,1,1,4,1,2]=>[2,1,4,1,1,2,2] [2,2,2,2,1,2,2]=>[2,2,1,2,2,2,2] [2,1,3,2,1,2,2]=>[2,2,1,2,3,1,2] [2,2,1,3,1,2,2]=>[2,2,1,3,1,2,2] [2,1,2,3,1,2,2]=>[2,2,1,3,2,1,2] [2,1,3,1,2,2,2]=>[2,2,2,1,3,1,2] [2,2,1,2,2,2,2]=>[2,2,2,2,1,2,2] [2,2,2,2,1,1,3]=>[3,1,1,2,2,2,2] [2,1,3,2,1,1,3]=>[3,1,1,2,3,1,2] [2,2,1,3,1,1,3]=>[3,1,1,3,1,2,2] [1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1] [1,3,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,3,1] [1,1,1,3,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,3,1,1,1] [1,5,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,5,1] [1,2,1,2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2,1,2,1] [1,1,1,1,1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1,1,1,1,1] [1,3,1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1,3,1] [1,1,1,5,1,1,1,1,1]=>[1,1,1,1,1,5,1,1,1] [1,7,1,1,1,1,1]=>[1,1,1,1,1,7,1] [1,2,1,4,1,1,1,1,1]=>[1,1,1,1,1,4,1,2,1] [1,1,1,2,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,2,1,1,1] [1,4,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,4,1] [1,1,1,1,1,1,1,3,1,1,1]=>[1,1,1,3,1,1,1,1,1,1,1] [1,3,1,1,1,3,1,1,1]=>[1,1,1,3,1,1,1,3,1] [1,1,1,3,1,3,1,1,1]=>[1,1,1,3,1,3,1,1,1] [1,5,1,3,1,1,1]=>[1,1,1,3,1,5,1] [1,2,1,2,1,3,1,1,1]=>[1,1,1,3,1,2,1,2,1] [1,1,1,1,1,5,1,1,1]=>[1,1,1,5,1,1,1,1,1] [1,3,1,5,1,1,1]=>[1,1,1,5,1,3,1] [1,1,1,7,1,1,1]=>[1,1,1,7,1,1,1] [1,9,1,1,1]=>[1,1,1,9,1] [1,1,1,2,1,4,1,1,1]=>[1,1,1,4,1,2,1,1,1] [1,1,1,1,1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1,1,1,1,1] [1,3,1,2,1,2,1,1,1]=>[1,1,1,2,1,2,1,3,1] [1,1,1,4,1,2,1,1,1]=>[1,1,1,2,1,4,1,1,1] [1,1,1,1,1,1,1,1,1,3,1]=>[1,3,1,1,1,1,1,1,1,1,1] [1,3,1,1,1,1,1,3,1]=>[1,3,1,1,1,1,1,3,1] [1,1,1,3,1,1,1,3,1]=>[1,3,1,1,1,3,1,1,1] [1,5,1,1,1,3,1]=>[1,3,1,1,1,5,1] [1,2,1,2,1,1,1,3,1]=>[1,3,1,1,1,2,1,2,1] [1,1,1,1,1,3,1,3,1]=>[1,3,1,3,1,1,1,1,1] [1,7,1,3,1]=>[1,3,1,7,1] [1,1,1,2,1,2,1,3,1]=>[1,3,1,2,1,2,1,1,1] [1,1,1,1,1,1,1,5,1]=>[1,5,1,1,1,1,1,1,1] [1,5,1,5,1]=>[1,5,1,5,1] [1,3,1,7,1]=>[1,7,1,3,1] [1,1,1,9,1]=>[1,9,1,1,1] [1,11,1]=>[1,11,1] [1,2,1,8,1]=>[1,8,1,2,1] [1,4,1,6,1]=>[1,6,1,4,1] [1,2,3,6,1]=>[1,6,3,2,1] [1,1,1,1,1,2,1,4,1]=>[1,4,1,2,1,1,1,1,1] [1,6,1,4,1]=>[1,4,1,6,1] [1,4,1,1,1,4,1]=>[1,4,1,1,1,4,1] [1,2,1,1,1,1,1,4,1]=>[1,4,1,1,1,1,1,2,1] [1,4,3,4,1]=>[1,4,3,4,1] [1,2,5,4,1]=>[1,4,5,2,1] [1,1,1,1,1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1,1,1,1,1] [1,3,1,1,1,2,1,2,1]=>[1,2,1,2,1,1,1,3,1] [1,1,1,3,1,2,1,2,1]=>[1,2,1,2,1,3,1,1,1] [1,1,1,1,1,4,1,2,1]=>[1,2,1,4,1,1,1,1,1] [1,8,1,2,1]=>[1,2,1,8,1] [1,2,1,5,1,2,1]=>[1,2,1,5,1,2,1] [1,4,1,3,1,2,1]=>[1,2,1,3,1,4,1] [1,2,1,1,1,3,1,2,1]=>[1,2,1,3,1,1,1,2,1] [1,2,3,3,1,2,1]=>[1,2,1,3,3,2,1] [1,6,1,1,1,2,1]=>[1,2,1,1,1,6,1] [1,2,1,3,1,1,1,2,1]=>[1,2,1,1,1,3,1,2,1] [1,4,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,4,1] [1,2,1,1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1,1,2,1] [1,2,3,1,1,1,1,2,1]=>[1,2,1,1,1,1,3,2,1] [1,4,3,1,1,2,1]=>[1,2,1,1,3,4,1] [1,2,1,1,3,1,1,2,1]=>[1,2,1,1,3,1,1,2,1] [1,2,5,1,1,2,1]=>[1,2,1,1,5,2,1] [1,2,2,1,2,1,1,2,1]=>[1,2,1,1,2,1,2,2,1] [1,6,3,2,1]=>[1,2,3,6,1] [1,4,1,1,3,2,1]=>[1,2,3,1,1,4,1] [1,2,1,1,1,1,3,2,1]=>[1,2,3,1,1,1,1,2,1] [1,4,5,2,1]=>[1,2,5,4,1] [1,2,7,2,1]=>[1,2,7,2,1] [1,4,2,1,2,2,1]=>[1,2,2,1,2,4,1] [1,2,1,1,2,1,2,2,1]=>[1,2,2,1,2,1,1,2,1] [1,2,4,1,2,2,1]=>[1,2,2,1,4,2,1] [1,2,2,1,1,1,2,2,1]=>[1,2,2,1,1,1,2,2,1] [1,1,1,1,1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1,1,1,1,1] [1,1,1,1,1,1,3,1,1,1,1]=>[1,1,1,1,3,1,1,1,1,1,1] [3,2,1,1,2,4]=>[4,2,1,1,2,3] [3,2,1,1,1,5]=>[5,1,1,1,2,3] [2,3,1,1,3,3]=>[3,3,1,1,3,2] [2,3,1,1,2,4]=>[4,2,1,1,3,2] [2,3,1,1,1,5]=>[5,1,1,1,3,2] [3,1,2,2,1,4]=>[4,1,2,2,1,3] [2,2,2,2,2,3]=>[3,2,2,2,2,2] [2,2,2,2,1,4]=>[4,1,2,2,2,2] [3,1,2,1,2,4]=>[4,2,1,2,1,3] [3,1,2,1,1,5]=>[5,1,1,2,1,3] [2,2,2,1,3,3]=>[3,3,1,2,2,2] [2,2,2,1,2,4]=>[4,2,1,2,2,2] [2,2,2,1,1,5]=>[5,1,1,2,2,2] [2,1,3,3,1,3]=>[3,1,3,3,1,2] [2,1,3,2,2,3]=>[3,2,2,3,1,2] [2,1,3,2,1,4]=>[4,1,2,3,1,2] [2,1,3,1,3,3]=>[3,3,1,3,1,2] [2,1,3,1,2,4]=>[4,2,1,3,1,2] [2,1,3,1,1,5]=>[5,1,1,3,1,2] [2,1,1,1,4,4]=>[4,4,1,1,1,2] [2,1,2,2,3,3]=>[3,3,2,2,1,2] [2,1,2,1,3,4]=>[4,3,1,2,1,2] [2,1,3,3,2,2]=>[2,2,3,3,1,2] [2,1,4,2,1,3]=>[3,1,2,4,1,2] [2,1,4,1,1,4]=>[4,1,1,4,1,2] [3,2,1,1,3,3]=>[3,3,1,1,2,3] [3,2,2,2,2,2]=>[2,2,2,2,2,3] [3,2,2,1,2,3]=>[3,2,1,2,2,3] [3,1,1,2,3,3]=>[3,3,2,1,1,3] [3,1,1,1,3,4]=>[4,3,1,1,1,3] [3,1,2,3,2,2]=>[2,2,3,2,1,3] [3,1,2,2,2,3]=>[3,2,2,2,1,3] [3,1,3,2,1,3]=>[3,1,2,3,1,3] [3,1,3,1,1,4]=>[4,1,1,3,1,3] [2,1,1,1,6,2]=>[2,6,1,1,1,2] [3,1,1,1,1,6]=>[6,1,1,1,1,3] [2,1,1,2,5,2]=>[2,5,2,1,1,2] [3,1,1,1,2,5]=>[5,2,1,1,1,3] [2,1,1,3,4,2]=>[2,4,3,1,1,2] [2,1,2,1,5,2]=>[2,5,1,2,1,2] [3,1,1,2,1,5]=>[5,1,2,1,1,3] [2,1,1,4,3,2]=>[2,3,4,1,1,2] [2,1,2,2,4,2]=>[2,4,2,2,1,2] [2,2,1,1,5,2]=>[2,5,1,1,2,2] [2,1,1,5,1,3]=>[3,1,5,1,1,2] [3,1,1,1,4,3]=>[3,4,1,1,1,3] [3,1,1,2,2,4]=>[4,2,2,1,1,3] [2,1,1,5,2,2]=>[2,2,5,1,1,2] [2,1,2,3,3,2]=>[2,3,3,2,1,2] [2,1,3,1,4,2]=>[2,4,1,3,1,2] [2,2,1,2,4,2]=>[2,4,2,1,2,2] [3,1,1,1,5,2]=>[2,5,1,1,1,3] [2,1,2,4,1,3]=>[3,1,4,2,1,2] [3,1,1,3,1,4]=>[4,1,3,1,1,3] [2,1,2,4,2,2]=>[2,2,4,2,1,2] [2,1,3,2,3,2]=>[2,3,2,3,1,2] [2,2,1,3,3,2]=>[2,3,3,1,2,2] [2,2,2,1,4,2]=>[2,4,1,2,2,2] [3,1,1,2,4,2]=>[2,4,2,1,1,3] [2,2,1,4,1,3]=>[3,1,4,1,2,2] [2,1,4,1,2,3]=>[3,2,1,4,1,2] [3,1,1,3,2,3]=>[3,2,3,1,1,3] [3,1,2,1,3,3]=>[3,3,1,2,1,3] [2,2,3,1,1,4]=>[4,1,1,3,2,2] [2,3,1,2,1,4]=>[4,1,2,1,3,2] [2,3,2,2,2,2]=>[2,2,2,2,3,2] [3,1,3,2,2,2]=>[2,2,2,3,1,3] [2,2,3,2,2,2]=>[2,2,2,3,2,2] [2,1,4,2,2,2]=>[2,2,2,4,1,2] [3,2,1,3,2,2]=>[2,2,3,1,2,3] [2,3,1,3,2,2]=>[2,2,3,1,3,2] [2,2,2,3,2,2]=>[2,2,3,2,2,2] [3,1,1,4,2,2]=>[2,2,4,1,1,3] [2,2,1,4,2,2]=>[2,2,4,1,2,2] [3,2,2,1,3,2]=>[2,3,1,2,2,3] [2,3,2,1,3,2]=>[2,3,1,2,3,2] [3,1,3,1,3,2]=>[2,3,1,3,1,3] [2,2,3,1,3,2]=>[2,3,1,3,2,2] [2,1,4,1,3,2]=>[2,3,1,4,1,2] [3,2,1,2,3,2]=>[2,3,2,1,2,3] [2,3,1,2,3,2]=>[2,3,2,1,3,2] [3,1,2,2,3,2]=>[2,3,2,2,1,3] [2,2,2,2,3,2]=>[2,3,2,2,2,2] [3,1,1,3,3,2]=>[2,3,3,1,1,3] [3,2,1,1,4,2]=>[2,4,1,1,2,3] [2,3,1,1,4,2]=>[2,4,1,1,3,2] [3,1,2,1,4,2]=>[2,4,1,2,1,3] [3,2,2,2,1,3]=>[3,1,2,2,2,3] [2,3,2,2,1,3]=>[3,1,2,2,3,2] [2,2,3,2,1,3]=>[3,1,2,3,2,2] [3,2,1,3,1,3]=>[3,1,3,1,2,3] [2,3,1,3,1,3]=>[3,1,3,1,3,2] [3,1,2,3,1,3]=>[3,1,3,2,1,3] [2,2,2,3,1,3]=>[3,1,3,2,2,2] [3,1,1,4,1,3]=>[3,1,4,1,1,3] [2,3,2,1,2,3]=>[3,2,1,2,3,2] [3,1,3,1,2,3]=>[3,2,1,3,1,3] [2,2,3,1,2,3]=>[3,2,1,3,2,2] [3,2,1,2,2,3]=>[3,2,2,1,2,3] [2,3,1,2,2,3]=>[3,2,2,1,3,2] [2,2,1,3,2,3]=>[3,2,3,1,2,2] [2,1,2,3,2,3]=>[3,2,3,2,1,2] [2,1,1,4,2,3]=>[3,2,4,1,1,2] [2,2,1,2,3,3]=>[3,3,2,1,2,2] [2,1,1,3,3,3]=>[3,3,3,1,1,2] [2,2,1,1,4,3]=>[3,4,1,1,2,2] [2,1,2,1,4,3]=>[3,4,1,2,1,2] [2,1,1,2,4,3]=>[3,4,2,1,1,2] [2,1,1,1,5,3]=>[3,5,1,1,1,2] [3,2,2,1,1,4]=>[4,1,1,2,2,3] [2,3,2,1,1,4]=>[4,1,1,2,3,2] [3,2,1,2,1,4]=>[4,1,2,1,2,3] [2,1,2,3,1,4]=>[4,1,3,2,1,2] [2,1,1,4,1,4]=>[4,1,4,1,1,2] [2,2,1,2,2,4]=>[4,2,2,1,2,2] [2,1,2,2,2,4]=>[4,2,2,2,1,2] [2,1,1,3,2,4]=>[4,2,3,1,1,2] [2,2,1,1,3,4]=>[4,3,1,1,2,2] [2,1,1,2,3,4]=>[4,3,2,1,1,2] [2,2,1,2,1,5]=>[5,1,2,1,2,2] [2,1,2,2,1,5]=>[5,1,2,2,1,2] [2,1,1,3,1,5]=>[5,1,3,1,1,2] [2,2,1,1,2,5]=>[5,2,1,1,2,2] [2,1,2,1,2,5]=>[5,2,1,2,1,2] [2,1,1,2,2,5]=>[5,2,2,1,1,2] [2,1,1,1,3,5]=>[5,3,1,1,1,2] [2,2,1,1,1,6]=>[6,1,1,1,2,2] [2,1,2,1,1,6]=>[6,1,1,2,1,2] [2,1,1,2,1,6]=>[6,1,2,1,1,2] [2,1,1,1,2,6]=>[6,2,1,1,1,2] [2,1,1,1,1,7]=>[7,1,1,1,1,2] [1,1,6,6]=>[6,6,1,1] [6,6,1,1]=>[1,1,6,6] [1,1,5,1,1,5]=>[5,1,1,5,1,1] [5,1,1,5,1,1]=>[1,1,5,1,1,5] [1,1,4,1,2,5]=>[5,2,1,4,1,1] [1,1,5,2,1,4]=>[4,1,2,5,1,1] [4,1,2,5,1,1]=>[1,1,5,2,1,4] [5,2,1,4,1,1]=>[1,1,4,1,2,5] [1,1,3,1,3,5]=>[5,3,1,3,1,1] [1,1,4,1,1,1,1,4]=>[4,1,1,1,1,4,1,1] [1,1,5,3,1,3]=>[3,1,3,5,1,1] [3,1,3,5,1,1]=>[1,1,5,3,1,3] [4,1,1,1,1,4,1,1]=>[1,1,4,1,1,1,1,4] [5,3,1,3,1,1]=>[1,1,3,1,3,5] [1,1,2,1,4,5]=>[5,4,1,2,1,1] [1,1,3,1,2,1,1,4]=>[4,1,1,2,1,3,1,1] [1,1,4,2,2,4]=>[4,2,2,4,1,1] [1,1,4,1,1,2,1,3]=>[3,1,2,1,1,4,1,1] [1,1,5,4,1,2]=>[2,1,4,5,1,1] [2,2,5,5]=>[5,5,2,2] [2,1,4,5,1,1]=>[1,1,5,4,1,2] [3,1,2,1,1,4,1,1]=>[1,1,4,1,1,2,1,3] [4,2,2,4,1,1]=>[1,1,4,2,2,4] [4,1,1,2,1,3,1,1]=>[1,1,3,1,2,1,1,4] [5,5,2,2]=>[2,2,5,5] [5,4,1,2,1,1]=>[1,1,2,1,4,5] [2,1,1,1,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,1,1,1,2] [3,2,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,2,3] [3,1,1,2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2,1,1,3] [2,1,2,2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2,2,1,2] [3,1,1,1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1,1,1,3] [3,2,2,2,1,1,1,2]=>[2,1,1,1,2,2,2,3] [2,1,1,1,2,2,1,1,1,2]=>[2,1,1,1,2,2,1,1,1,2] [3,1,1,1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1,1,1,3] [3,1,1,2,2,2,1,2]=>[2,1,2,2,2,1,1,3] [2,1,2,1,1,2,1,1,1,2]=>[2,1,1,1,2,1,1,2,1,2] [3,2,1,1,2,2,1,2]=>[2,1,2,2,1,1,2,3] [2,1,1,1,1,1,2,2,1,2]=>[2,1,2,2,1,1,1,1,1,2] [2,1,1,1,1,1,1,1,2,3]=>[3,2,1,1,1,1,1,1,1,2] [2,1,1,1,1,1,2,1,1,3]=>[3,1,1,2,1,1,1,1,1,2] [2,1,1,1,1,1,3,4]=>[4,3,1,1,1,1,1,2] [2,1,1,1,2,1,1,1,1,3]=>[3,1,1,1,1,2,1,1,1,2] [2,1,1,1,2,2,2,3]=>[3,2,2,2,1,1,1,2] [2,1,1,1,2,1,1,2,1,2]=>[2,1,2,1,1,2,1,1,1,2] [2,1,1,1,2,1,2,4]=>[4,2,1,2,1,1,1,2] [2,1,2,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,2,1,2] [6,5,1,2]=>[2,1,5,6] [5,1,1,4,1,2]=>[2,1,4,1,1,5] [5,2,1,3,1,2]=>[2,1,3,1,2,5] [4,1,2,4,1,2]=>[2,1,4,2,1,4] [5,3,1,2,1,2]=>[2,1,2,1,3,5] [4,1,1,1,1,3,1,2]=>[2,1,3,1,1,1,1,4] [3,1,3,4,1,2]=>[2,1,4,3,1,3] [5,4,1,1,1,2]=>[2,1,1,1,4,5] [4,1,1,2,1,2,1,2]=>[2,1,2,1,2,1,1,4] [4,2,2,3,1,2]=>[2,1,3,2,2,4] [3,1,2,1,1,3,1,2]=>[2,1,3,1,1,2,1,3] [2,1,4,4,1,2]=>[2,1,4,4,1,2] [3,1,1,1,1,1,2,4]=>[4,2,1,1,1,1,1,3] [4,2,1,1,1,1,1,3]=>[3,1,1,1,1,1,2,4] [2,1,2,1,1,1,2,4]=>[4,2,1,1,1,2,1,2] [3,1,1,1,1,2,2,3]=>[3,2,2,1,1,1,1,3] [3,2,2,1,1,1,1,3]=>[3,1,1,1,1,2,2,3] [4,2,1,1,1,2,1,2]=>[2,1,2,1,1,1,2,4] [6,2,1,5]=>[5,1,2,6] [6,1,1,6]=>[6,1,1,6] [2,1,4,2,1,4]=>[4,1,2,4,1,2] [2,1,4,1,1,5]=>[5,1,1,4,1,2] [3,1,3,2,1,4]=>[4,1,2,3,1,3] [3,1,3,1,1,5]=>[5,1,1,3,1,3] [5,2,1,2,1,3]=>[3,1,2,1,2,5] [4,1,2,2,1,4]=>[4,1,2,2,1,4] [5,3,2,4]=>[4,2,3,5] [5,1,1,3,1,3]=>[3,1,3,1,1,5] [5,2,2,5]=>[5,2,2,5] [4,1,2,1,1,5]=>[5,1,1,2,1,4] [3,1,1,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,1,1,3] [3,1,1,1,3,5]=>[5,3,1,1,1,3] [5,1,1,1,1,5]=>[5,1,1,1,1,5] [4,1,1,1,1,1,1,4]=>[4,1,1,1,1,1,1,4] [2,1,1,1,3,1,1,4]=>[4,1,1,3,1,1,1,2] [2,1,5,6]=>[6,5,1,2] [3,1,4,6]=>[6,4,1,3] [6,4,1,3]=>[3,1,4,6] [4,1,3,6]=>[6,3,1,4] [6,3,1,4]=>[4,1,3,6] [5,1,2,6]=>[6,2,1,5] [4,1,2,3,1,3]=>[3,1,3,2,1,4] [3,1,1,1,2,1,1,4]=>[4,1,1,2,1,1,1,3] [3,1,1,1,2,2,1,3]=>[3,1,2,2,1,1,1,3] [2,1,2,1,2,1,1,4]=>[4,1,1,2,1,2,1,2] [7,7]=>[7,7] [5,1,1,2,1,4]=>[4,1,2,1,1,5] [5,4,3,2]=>[2,3,4,5] [5,4,3,1,1]=>[1,1,3,4,5] [5,4,2,2,1]=>[1,2,2,4,5] [5,3,3,2,1]=>[1,2,3,3,5] [4,4,3,2,1]=>[1,2,3,4,4] [2,1,3,1,2,5]=>[5,2,1,3,1,2] [5,4,2,3]=>[3,2,4,5] [2,1,4,3,1,3]=>[3,1,3,4,1,2] [2,1,3,1,1,1,1,4]=>[4,1,1,1,1,3,1,2] [3,2,4,5]=>[5,4,2,3] [2,1,2,1,3,5]=>[5,3,1,2,1,2] [4,1,1,3,2,3]=>[3,2,3,1,1,4] [2,1,3,1,1,2,1,3]=>[3,1,2,1,1,3,1,2] [4,3,3,4]=>[4,3,3,4] [2,1,3,2,2,4]=>[4,2,2,3,1,2] [3,2,3,1,1,4]=>[4,1,1,3,2,3] [2,1,1,1,4,5]=>[5,4,1,1,1,2] [4,1,1,3,1,1,1,2]=>[2,1,1,1,3,1,1,4] [3,1,2,2,1,2,1,2]=>[2,1,2,1,2,2,1,3] [3,1,1,1,2,3,1,2]=>[2,1,3,2,1,1,1,3] [2,1,3,1,1,3,1,2]=>[2,1,3,1,1,3,1,2] [4,2,1,2,2,3]=>[3,2,2,1,2,4] [3,1,2,3,2,3]=>[3,2,3,2,1,3] [4,3,2,1,1,3]=>[3,1,1,2,3,4] [2,1,3,2,1,1,1,3]=>[3,1,1,1,2,3,1,2] [3,2,3,2,1,3]=>[3,1,2,3,2,3] [2,1,2,1,2,2,1,3]=>[3,1,2,2,1,2,1,2] [3,1,1,2,3,4]=>[4,3,2,1,1,3] [3,2,2,1,2,4]=>[4,2,1,2,2,3] [4,3,1,1,1,1,1,2]=>[2,1,1,1,1,1,3,4] [4,2,1,2,1,1,1,2]=>[2,1,1,1,2,1,2,4] [2,1,3,3,1,1,1,2]=>[2,1,1,1,3,3,1,2] [3,1,2,3,1,1,1,2]=>[2,1,1,1,3,2,1,3] [2,1,2,2,2,2,1,2]=>[2,1,2,2,2,2,1,2] [4,3,2,2,1,2]=>[2,1,2,2,3,4] [3,2,2,1,1,2,1,2]=>[2,1,2,1,1,2,2,3] [2,1,2,1,1,1,1,2,1,2]=>[2,1,2,1,1,1,1,2,1,2] [2,1,3,2,1,2,1,2]=>[2,1,2,1,2,3,1,2] [2,1,1,1,3,3,1,2]=>[2,1,3,3,1,1,1,2] [3,2,3,3,1,2]=>[2,1,3,3,2,3] [2,1,2,1,2,3,1,2]=>[2,1,3,2,1,2,1,2] [3,2,1,1,1,1,2,3]=>[3,2,1,1,1,1,2,3] [2,1,2,2,1,1,2,3]=>[3,2,1,1,2,2,1,2] [3,1,1,2,1,1,2,3]=>[3,2,1,1,2,1,1,3] [4,3,1,1,2,3]=>[3,2,1,1,3,4] [3,2,2,2,2,3]=>[3,2,2,2,2,3] [2,1,2,1,1,2,2,3]=>[3,2,2,1,1,2,1,2] [2,1,3,3,2,3]=>[3,2,3,3,1,2] [3,2,1,1,2,1,1,3]=>[3,1,1,2,1,1,2,3] [2,1,2,2,2,1,1,3]=>[3,1,1,2,2,2,1,2] [3,1,1,2,2,1,1,3]=>[3,1,1,2,2,1,1,3] [3,1,2,2,1,1,1,3]=>[3,1,1,1,2,2,1,3] [4,1,1,2,1,1,1,3]=>[3,1,1,1,2,1,1,4] [5,3,1,1,1,3]=>[3,1,1,1,3,5] [2,1,1,1,3,2,1,3]=>[3,1,2,3,1,1,1,2] [4,2,2,2,1,3]=>[3,1,2,2,2,4] [3,1,2,1,1,2,1,3]=>[3,1,2,1,1,2,1,3] [4,1,1,1,1,2,1,3]=>[3,1,2,1,1,1,1,4] [3,1,3,3,1,3]=>[3,1,3,3,1,3] [3,2,1,1,3,4]=>[4,3,1,1,2,3] [2,1,2,2,3,4]=>[4,3,2,2,1,2] [4,2,1,1,2,4]=>[4,2,1,1,2,4] [3,1,2,2,2,4]=>[4,2,2,2,1,3] [4,1,1,2,2,4]=>[4,2,2,1,1,4] [4,2,2,1,1,4]=>[4,1,1,2,2,4] [3,1,2,1,1,1,1,4]=>[4,1,1,1,1,2,1,3] [5,2,1,1,1,4]=>[4,1,1,1,2,5] [4,2,3,5]=>[5,3,2,4] [3,1,2,1,2,5]=>[5,2,1,2,1,3] [4,1,1,1,2,5]=>[5,2,1,1,1,4] [1,2,1,1,1,1,1,7]=>[7,1,1,1,1,1,2,1] [1,1,1,1,1,1,7,2]=>[2,7,1,1,1,1,1,1] [1,2,1,1,1,1,2,6]=>[6,2,1,1,1,1,2,1] [1,1,1,1,1,2,6,2]=>[2,6,2,1,1,1,1,1] [1,2,1,1,1,2,1,6]=>[6,1,2,1,1,1,2,1] [1,2,1,1,1,1,3,5]=>[5,3,1,1,1,1,2,1] [1,1,1,1,2,1,6,2]=>[2,6,1,2,1,1,1,1] [1,1,1,1,1,3,5,2]=>[2,5,3,1,1,1,1,1] [1,2,1,1,2,1,1,6]=>[6,1,1,2,1,1,2,1] [1,2,1,1,1,2,2,5]=>[5,2,2,1,1,1,2,1] [1,2,1,1,1,1,4,4]=>[4,4,1,1,1,1,2,1] [1,1,1,2,1,1,6,2]=>[2,6,1,1,2,1,1,1] [1,1,1,1,2,2,5,2]=>[2,5,2,2,1,1,1,1] [1,1,1,1,1,4,4,2]=>[2,4,4,1,1,1,1,1] [1,2,1,2,1,1,1,6]=>[6,1,1,1,2,1,2,1] [1,2,1,1,2,1,2,5]=>[5,2,1,2,1,1,2,1] [1,2,1,1,1,3,1,5]=>[5,1,3,1,1,1,2,1] [1,2,1,1,1,2,3,4]=>[4,3,2,1,1,1,2,1] [1,2,1,1,1,1,5,3]=>[3,5,1,1,1,1,2,1] [1,1,3,1,1,1,1,6]=>[6,1,1,1,1,3,1,1] [1,1,2,1,1,1,6,2]=>[2,6,1,1,1,2,1,1] [1,1,1,2,1,2,5,2]=>[2,5,2,1,2,1,1,1] [1,1,1,1,3,1,5,2]=>[2,5,1,3,1,1,1,1] [1,1,1,1,2,3,4,2]=>[2,4,3,2,1,1,1,1] [1,1,1,1,1,6,1,3]=>[3,1,6,1,1,1,1,1] [1,1,1,1,1,5,3,2]=>[2,3,5,1,1,1,1,1] [1,1,2,2,2,2,2,3]=>[3,2,2,2,2,2,1,1] [1,1,1,3,2,2,2,3]=>[3,2,2,2,3,1,1,1] [1,1,1,2,3,2,2,3]=>[3,2,2,3,2,1,1,1] [1,1,2,1,3,2,2,3]=>[3,2,2,3,1,2,1,1] [1,1,1,2,2,3,2,3]=>[3,2,3,2,2,1,1,1] [1,1,1,3,1,3,2,3]=>[3,2,3,1,3,1,1,1] [1,1,2,2,1,3,2,3]=>[3,2,3,1,2,2,1,1] [1,1,1,2,2,2,3,3]=>[3,3,2,2,2,1,1,1] [1,1,1,2,3,1,3,3]=>[3,3,1,3,2,1,1,1] [1,1,2,1,2,3,2,3]=>[3,2,3,2,1,2,1,1] [1,1,1,3,2,1,3,3]=>[3,3,1,2,3,1,1,1] [1,1,2,2,2,1,3,3]=>[3,3,1,2,2,2,1,1] [1,1,2,2,2,2,1,4]=>[4,1,2,2,2,2,1,1] [1,1,2,2,2,1,2,4]=>[4,2,1,2,2,2,1,1] [1,1,2,2,2,1,1,5]=>[5,1,1,2,2,2,1,1] [1,1,2,2,1,2,2,4]=>[4,2,2,1,2,2,1,1] [1,1,2,2,1,3,1,4]=>[4,1,3,1,2,2,1,1] [1,1,2,2,1,2,3,3]=>[3,3,2,1,2,2,1,1] [1,1,2,2,1,2,1,5]=>[5,1,2,1,2,2,1,1] [1,1,2,1,2,2,2,4]=>[4,2,2,2,1,2,1,1] [1,1,1,1,1,1,6,3]=>[3,6,1,1,1,1,1,1] [1,1,1,1,1,2,5,3]=>[3,5,2,1,1,1,1,1] [1,1,1,1,1,3,4,3]=>[3,4,3,1,1,1,1,1] [1,1,1,1,2,1,5,3]=>[3,5,1,2,1,1,1,1] [1,1,1,1,1,4,3,3]=>[3,3,4,1,1,1,1,1] [1,1,1,1,2,2,4,3]=>[3,4,2,2,1,1,1,1] [1,1,1,2,1,1,5,3]=>[3,5,1,1,2,1,1,1] [1,1,1,1,1,5,2,3]=>[3,2,5,1,1,1,1,1] [1,1,1,1,2,3,3,3]=>[3,3,3,2,1,1,1,1] [1,1,1,1,3,1,4,3]=>[3,4,1,3,1,1,1,1] [1,1,1,2,1,2,4,3]=>[3,4,2,1,2,1,1,1] [1,1,2,1,1,1,5,3]=>[3,5,1,1,1,2,1,1] [1,1,1,2,2,2,1,5]=>[5,1,2,2,2,1,1,1] [1,1,1,1,3,2,2,4]=>[4,2,2,3,1,1,1,1] [1,1,2,1,2,2,1,5]=>[5,1,2,2,1,2,1,1] [1,1,1,2,2,3,1,4]=>[4,1,3,2,2,1,1,1] [1,1,1,3,1,2,2,4]=>[4,2,2,1,3,1,1,1] [1,1,1,1,3,2,3,3]=>[3,3,2,3,1,1,1,1] [1,1,1,1,1,1,3,6]=>[6,3,1,1,1,1,1,1] [1,1,1,1,1,1,2,7]=>[7,2,1,1,1,1,1,1] [1,1,2,1,1,1,3,5]=>[5,3,1,1,1,2,1,1] [1,1,2,1,1,1,2,6]=>[6,2,1,1,1,2,1,1] [1,1,1,2,1,1,3,5]=>[5,3,1,1,2,1,1,1] [1,1,1,2,1,1,2,6]=>[6,2,1,1,2,1,1,1] [1,1,1,1,1,3,3,4]=>[4,3,3,1,1,1,1,1] [1,1,1,1,2,1,3,5]=>[5,3,1,2,1,1,1,1] [1,1,1,1,1,4,1,5]=>[5,1,4,1,1,1,1,1] [1,1,1,1,1,2,4,4]=>[4,4,2,1,1,1,1,1] [1,1,1,1,1,3,1,6]=>[6,1,3,1,1,1,1,1] [1,1,1,1,2,1,2,6]=>[6,2,1,2,1,1,1,1] [1,1,1,2,2,2,2,4]=>[4,2,2,2,2,1,1,1] [1,1,1,2,2,1,1,6]=>[6,1,1,2,2,1,1,1] [1,1,1,1,1,2,2,6]=>[6,2,2,1,1,1,1,1] [1,1,1,1,2,2,2,5]=>[5,2,2,2,1,1,1,1] [1,1,2,2,1,1,2,5]=>[5,2,1,1,2,2,1,1] [1,1,2,1,1,1,1,7]=>[7,1,1,1,1,2,1,1] [1,1,1,2,1,1,1,7]=>[7,1,1,1,2,1,1,1] [1,1,1,1,1,1,5,4]=>[4,5,1,1,1,1,1,1] [1,1,1,1,2,1,1,7]=>[7,1,1,2,1,1,1,1] [1,1,1,1,1,1,4,5]=>[5,4,1,1,1,1,1,1] [1,1,1,1,1,2,1,7]=>[7,1,2,1,1,1,1,1] [1,1,1,1,2,1,4,4]=>[4,4,1,2,1,1,1,1] [1,1,1,2,2,1,2,5]=>[5,2,1,2,2,1,1,1] [1,1,1,2,2,1,3,4]=>[4,3,1,2,2,1,1,1] [1,1,2,1,2,1,2,5]=>[5,2,1,2,1,2,1,1] [1,1,1,1,1,1,1,8]=>[8,1,1,1,1,1,1,1] [1,1,1,1,1,2,3,5]=>[5,3,2,1,1,1,1,1] [5,4,3,2,1]=>[1,2,3,4,5] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,2,1,1,1,1,1,2]=>[2,1,1,1,1,1,2,1,1,1,1,1,1] [1,1,2,1,1,2,1,6]=>[6,1,2,1,1,2,1,1] [1,1,1,1,1,5,1,4]=>[4,1,5,1,1,1,1,1] [1,1,2,1,1,1,4,4]=>[4,4,1,1,1,2,1,1] [1,1,2,1,1,2,2,5]=>[5,2,2,1,1,2,1,1] [1,1,1,3,1,1,1,6]=>[6,1,1,1,3,1,1,1] [1,1,2,1,2,1,1,6]=>[6,1,1,2,1,2,1,1] [1,1,1,1,2,4,1,4]=>[4,1,4,2,1,1,1,1] [1,1,2,1,1,2,3,4]=>[4,3,2,1,1,2,1,1] [1,1,1,1,4,1,1,5]=>[5,1,1,4,1,1,1,1] [1,1,2,1,1,3,1,5]=>[5,1,3,1,1,2,1,1] [1,1,1,3,1,1,2,5]=>[5,2,1,1,3,1,1,1] [1,1,2,2,1,1,1,6]=>[6,1,1,1,2,2,1,1] [1,1,1,1,2,4,2,3]=>[3,2,4,2,1,1,1,1] [1,1,1,2,1,3,3,3]=>[3,3,3,1,2,1,1,1] [1,1,1,2,2,1,4,3]=>[3,4,1,2,2,1,1,1] [1,1,2,1,1,2,4,3]=>[3,4,2,1,1,2,1,1] [1,1,1,1,3,3,1,4]=>[4,1,3,3,1,1,1,1] [1,1,1,2,1,4,1,4]=>[4,1,4,1,2,1,1,1] [1,1,1,1,4,1,2,4]=>[4,2,1,4,1,1,1,1] [1,1,2,1,1,3,2,4]=>[4,2,3,1,1,2,1,1] [1,1,1,3,1,1,3,4]=>[4,3,1,1,3,1,1,1] [1,1,2,1,2,1,3,4]=>[4,3,1,2,1,2,1,1] [1,1,1,2,3,1,1,5]=>[5,1,1,3,2,1,1,1] [1,1,1,3,1,2,1,5]=>[5,1,2,1,3,1,1,1] [1,1,1,1,4,2,2,3]=>[3,2,2,4,1,1,1,1] [1,1,1,1,3,3,2,3]=>[3,2,3,3,1,1,1,1] [1,1,2,1,1,4,2,3]=>[3,2,4,1,1,2,1,1] [1,1,1,2,1,4,2,3]=>[3,2,4,1,2,1,1,1] [1,1,2,1,3,1,3,3]=>[3,3,1,3,1,2,1,1] [1,1,1,1,4,1,3,3]=>[3,3,1,4,1,1,1,1] [1,1,1,3,1,2,3,3]=>[3,3,2,1,3,1,1,1] [1,1,2,1,2,2,3,3]=>[3,3,2,2,1,2,1,1] [1,1,2,1,1,3,3,3]=>[3,3,3,1,1,2,1,1] [1,1,2,2,1,1,4,3]=>[3,4,1,1,2,2,1,1] [1,1,1,3,1,1,4,3]=>[3,4,1,1,3,1,1,1] [1,1,2,1,2,1,4,3]=>[3,4,1,2,1,2,1,1] [1,1,1,3,2,2,1,4]=>[4,1,2,2,3,1,1,1] [1,1,2,1,3,2,1,4]=>[4,1,2,3,1,2,1,1] [1,1,1,2,3,2,1,4]=>[4,1,2,3,2,1,1,1] [1,1,1,1,4,2,1,4]=>[4,1,2,4,1,1,1,1] [1,1,1,3,1,3,1,4]=>[4,1,3,1,3,1,1,1] [1,1,2,1,2,3,1,4]=>[4,1,3,2,1,2,1,1] [1,1,2,1,1,4,1,4]=>[4,1,4,1,1,2,1,1] [1,1,1,3,2,1,2,4]=>[4,2,1,2,3,1,1,1] [1,1,2,1,3,1,2,4]=>[4,2,1,3,1,2,1,1] [1,1,1,2,3,1,2,4]=>[4,2,1,3,2,1,1,1] [1,1,1,2,1,3,2,4]=>[4,2,3,1,2,1,1,1] [1,1,1,1,2,3,2,4]=>[4,2,3,2,1,1,1,1] [1,1,1,1,1,4,2,4]=>[4,2,4,1,1,1,1,1] [1,1,2,2,1,1,3,4]=>[4,3,1,1,2,2,1,1] [1,1,1,1,3,1,3,4]=>[4,3,1,3,1,1,1,1] [1,1,1,2,1,2,3,4]=>[4,3,2,1,2,1,1,1] [1,1,1,1,2,2,3,4]=>[4,3,2,2,1,1,1,1] [1,1,1,2,1,1,4,4]=>[4,4,1,1,2,1,1,1] [1,1,1,3,2,1,1,5]=>[5,1,1,2,3,1,1,1] [1,1,2,1,3,1,1,5]=>[5,1,1,3,1,2,1,1] [1,1,1,1,3,2,1,5]=>[5,1,2,3,1,1,1,1] [1,1,1,2,1,3,1,5]=>[5,1,3,1,2,1,1,1] [1,1,1,1,2,3,1,5]=>[5,1,3,2,1,1,1,1] [1,1,1,1,3,1,2,5]=>[5,2,1,3,1,1,1,1] [1,1,1,2,1,2,2,5]=>[5,2,2,1,2,1,1,1] [1,1,1,1,1,3,2,5]=>[5,2,3,1,1,1,1,1] [1,1,1,1,3,1,1,6]=>[6,1,1,3,1,1,1,1] [1,1,1,2,1,2,1,6]=>[6,1,2,1,2,1,1,1] [1,1,1,1,2,2,1,6]=>[6,1,2,2,1,1,1,1] [1,1,7,7]=>[7,7,1,1] [7,7,1,1]=>[1,1,7,7] [1,1,6,1,1,6]=>[6,1,1,6,1,1] [6,1,1,6,1,1]=>[1,1,6,1,1,6] [1,1,5,1,2,6]=>[6,2,1,5,1,1] [1,1,6,2,1,5]=>[5,1,2,6,1,1] [5,1,2,6,1,1]=>[1,1,6,2,1,5] [6,2,1,5,1,1]=>[1,1,5,1,2,6] [1,1,4,1,3,6]=>[6,3,1,4,1,1] [1,1,5,1,1,1,1,5]=>[5,1,1,1,1,5,1,1] [1,1,6,3,1,4]=>[4,1,3,6,1,1] [4,1,3,6,1,1]=>[1,1,6,3,1,4] [5,1,1,1,1,5,1,1]=>[1,1,5,1,1,1,1,5] [6,3,1,4,1,1]=>[1,1,4,1,3,6] [1,1,1,1,1,1,2,1,1,1,1,1,3]=>[3,1,1,1,1,1,2,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,1,8]=>[8,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,8,2]=>[2,8,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,2,7]=>[7,2,1,1,1,1,1,2,1] [1,1,1,1,1,1,2,7,2]=>[2,7,2,1,1,1,1,1,1] [1,2,1,1,1,1,2,1,7]=>[7,1,2,1,1,1,1,2,1] [1,2,1,1,1,1,1,3,6]=>[6,3,1,1,1,1,1,2,1] [1,1,1,1,1,2,1,7,2]=>[2,7,1,2,1,1,1,1,1] [1,1,1,1,1,1,3,6,2]=>[2,6,3,1,1,1,1,1,1] [1,2,1,1,1,2,1,1,7]=>[7,1,1,2,1,1,1,2,1] [1,2,1,1,1,1,2,2,6]=>[6,2,2,1,1,1,1,2,1] [1,2,1,1,1,1,1,4,5]=>[5,4,1,1,1,1,1,2,1] [1,1,1,1,2,1,1,7,2]=>[2,7,1,1,2,1,1,1,1] [1,1,1,1,1,2,2,6,2]=>[2,6,2,2,1,1,1,1,1] [1,1,1,1,1,1,4,5,2]=>[2,5,4,1,1,1,1,1,1] [1,1,8,8]=>[8,8,1,1] [8,8,1,1]=>[1,1,8,8] [1,1,7,1,1,7]=>[7,1,1,7,1,1] [7,1,1,7,1,1]=>[1,1,7,1,1,7] [1,1,6,1,2,7]=>[7,2,1,6,1,1] [1,1,7,2,1,6]=>[6,1,2,7,1,1] [6,1,2,7,1,1]=>[1,1,7,2,1,6] [7,2,1,6,1,1]=>[1,1,6,1,2,7] [1,2,1,1,1,1,1,1,1,9]=>[9,1,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1,9,2]=>[2,9,1,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,1,2,8]=>[8,2,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,2,8,2]=>[2,8,2,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,2,1,8]=>[8,1,2,1,1,1,1,1,2,1] [1,2,1,1,1,1,1,1,3,7]=>[7,3,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,2,1,8,2]=>[2,8,1,2,1,1,1,1,1,1] [1,1,1,1,1,1,1,3,7,2]=>[2,7,3,1,1,1,1,1,1,1] [1,1,9,9]=>[9,9,1,1] [9,9,1,1]=>[1,1,9,9] [1,1,8,1,1,8]=>[8,1,1,8,1,1] [8,1,1,8,1,1]=>[1,1,8,1,1,8] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,1,1,1,10]=>[10,1,1,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1,1,10,2]=>[2,10,1,1,1,1,1,1,1,1,1] [1,2,1,1,1,1,1,1,1,2,9]=>[9,2,1,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1,2,9,2]=>[2,9,2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,10,10]=>[10,10,1,1] [10,10,1,1]=>[1,1,10,10] [1,2,1,1,1,1,1,1,1,1,1,11]=>[11,1,1,1,1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1,1,1,11,2]=>[2,11,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,5]=>[5,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3]=>[3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
Description
Return the reversal of a composition.
That is, the composition $(i_1, i_2, \ldots, i_k)$ is sent to $(i_k, i_{k-1}, \ldots, i_1)$.
Properties
bijective, graded, involutive
Sage code
def mapping(elt):
    return elt.reversed()
Created
Jan 19, 2020 at 07:27 by FindStatCrew
Updated
Jan 19, 2020 at 07:27 by Martin Rubey