Identifier
Mp00071: Permutations descent compositionInteger compositions
Images
=>
[1]=>[1] [1,2]=>[2] [2,1]=>[1,1] [1,2,3]=>[3] [1,3,2]=>[2,1] [2,1,3]=>[1,2] [2,3,1]=>[2,1] [3,1,2]=>[1,2] [3,2,1]=>[1,1,1] [1,2,3,4]=>[4] [1,2,4,3]=>[3,1] [1,3,2,4]=>[2,2] [1,3,4,2]=>[3,1] [1,4,2,3]=>[2,2] [1,4,3,2]=>[2,1,1] [2,1,3,4]=>[1,3] [2,1,4,3]=>[1,2,1] [2,3,1,4]=>[2,2] [2,3,4,1]=>[3,1] [2,4,1,3]=>[2,2] [2,4,3,1]=>[2,1,1] [3,1,2,4]=>[1,3] [3,1,4,2]=>[1,2,1] [3,2,1,4]=>[1,1,2] [3,2,4,1]=>[1,2,1] [3,4,1,2]=>[2,2] [3,4,2,1]=>[2,1,1] [4,1,2,3]=>[1,3] [4,1,3,2]=>[1,2,1] [4,2,1,3]=>[1,1,2] [4,2,3,1]=>[1,2,1] [4,3,1,2]=>[1,1,2] [4,3,2,1]=>[1,1,1,1] [1,2,3,4,5]=>[5] [1,2,3,5,4]=>[4,1] [1,2,4,3,5]=>[3,2] [1,2,4,5,3]=>[4,1] [1,2,5,3,4]=>[3,2] [1,2,5,4,3]=>[3,1,1] [1,3,2,4,5]=>[2,3] [1,3,2,5,4]=>[2,2,1] [1,3,4,2,5]=>[3,2] [1,3,4,5,2]=>[4,1] [1,3,5,2,4]=>[3,2] [1,3,5,4,2]=>[3,1,1] [1,4,2,3,5]=>[2,3] [1,4,2,5,3]=>[2,2,1] [1,4,3,2,5]=>[2,1,2] [1,4,3,5,2]=>[2,2,1] [1,4,5,2,3]=>[3,2] [1,4,5,3,2]=>[3,1,1] [1,5,2,3,4]=>[2,3] [1,5,2,4,3]=>[2,2,1] [1,5,3,2,4]=>[2,1,2] [1,5,3,4,2]=>[2,2,1] [1,5,4,2,3]=>[2,1,2] [1,5,4,3,2]=>[2,1,1,1] [2,1,3,4,5]=>[1,4] [2,1,3,5,4]=>[1,3,1] [2,1,4,3,5]=>[1,2,2] [2,1,4,5,3]=>[1,3,1] [2,1,5,3,4]=>[1,2,2] [2,1,5,4,3]=>[1,2,1,1] [2,3,1,4,5]=>[2,3] [2,3,1,5,4]=>[2,2,1] [2,3,4,1,5]=>[3,2] [2,3,4,5,1]=>[4,1] [2,3,5,1,4]=>[3,2] [2,3,5,4,1]=>[3,1,1] [2,4,1,3,5]=>[2,3] [2,4,1,5,3]=>[2,2,1] [2,4,3,1,5]=>[2,1,2] [2,4,3,5,1]=>[2,2,1] [2,4,5,1,3]=>[3,2] [2,4,5,3,1]=>[3,1,1] [2,5,1,3,4]=>[2,3] [2,5,1,4,3]=>[2,2,1] [2,5,3,1,4]=>[2,1,2] [2,5,3,4,1]=>[2,2,1] [2,5,4,1,3]=>[2,1,2] [2,5,4,3,1]=>[2,1,1,1] [3,1,2,4,5]=>[1,4] [3,1,2,5,4]=>[1,3,1] [3,1,4,2,5]=>[1,2,2] [3,1,4,5,2]=>[1,3,1] [3,1,5,2,4]=>[1,2,2] [3,1,5,4,2]=>[1,2,1,1] [3,2,1,4,5]=>[1,1,3] [3,2,1,5,4]=>[1,1,2,1] [3,2,4,1,5]=>[1,2,2] [3,2,4,5,1]=>[1,3,1] [3,2,5,1,4]=>[1,2,2] [3,2,5,4,1]=>[1,2,1,1] [3,4,1,2,5]=>[2,3] [3,4,1,5,2]=>[2,2,1] [3,4,2,1,5]=>[2,1,2] [3,4,2,5,1]=>[2,2,1] [3,4,5,1,2]=>[3,2] [3,4,5,2,1]=>[3,1,1] [3,5,1,2,4]=>[2,3] [3,5,1,4,2]=>[2,2,1] [3,5,2,1,4]=>[2,1,2] [3,5,2,4,1]=>[2,2,1] [3,5,4,1,2]=>[2,1,2] [3,5,4,2,1]=>[2,1,1,1] [4,1,2,3,5]=>[1,4] [4,1,2,5,3]=>[1,3,1] [4,1,3,2,5]=>[1,2,2] [4,1,3,5,2]=>[1,3,1] [4,1,5,2,3]=>[1,2,2] [4,1,5,3,2]=>[1,2,1,1] [4,2,1,3,5]=>[1,1,3] [4,2,1,5,3]=>[1,1,2,1] [4,2,3,1,5]=>[1,2,2] [4,2,3,5,1]=>[1,3,1] [4,2,5,1,3]=>[1,2,2] [4,2,5,3,1]=>[1,2,1,1] [4,3,1,2,5]=>[1,1,3] [4,3,1,5,2]=>[1,1,2,1] [4,3,2,1,5]=>[1,1,1,2] [4,3,2,5,1]=>[1,1,2,1] [4,3,5,1,2]=>[1,2,2] [4,3,5,2,1]=>[1,2,1,1] [4,5,1,2,3]=>[2,3] [4,5,1,3,2]=>[2,2,1] [4,5,2,1,3]=>[2,1,2] [4,5,2,3,1]=>[2,2,1] [4,5,3,1,2]=>[2,1,2] [4,5,3,2,1]=>[2,1,1,1] [5,1,2,3,4]=>[1,4] [5,1,2,4,3]=>[1,3,1] [5,1,3,2,4]=>[1,2,2] [5,1,3,4,2]=>[1,3,1] [5,1,4,2,3]=>[1,2,2] [5,1,4,3,2]=>[1,2,1,1] [5,2,1,3,4]=>[1,1,3] [5,2,1,4,3]=>[1,1,2,1] [5,2,3,1,4]=>[1,2,2] [5,2,3,4,1]=>[1,3,1] [5,2,4,1,3]=>[1,2,2] [5,2,4,3,1]=>[1,2,1,1] [5,3,1,2,4]=>[1,1,3] [5,3,1,4,2]=>[1,1,2,1] [5,3,2,1,4]=>[1,1,1,2] [5,3,2,4,1]=>[1,1,2,1] [5,3,4,1,2]=>[1,2,2] [5,3,4,2,1]=>[1,2,1,1] [5,4,1,2,3]=>[1,1,3] [5,4,1,3,2]=>[1,1,2,1] [5,4,2,1,3]=>[1,1,1,2] [5,4,2,3,1]=>[1,1,2,1] [5,4,3,1,2]=>[1,1,1,2] [5,4,3,2,1]=>[1,1,1,1,1] [1,2,3,4,5,6]=>[6] [1,2,3,4,6,5]=>[5,1] [1,2,3,5,4,6]=>[4,2] [1,2,3,5,6,4]=>[5,1] [1,2,3,6,4,5]=>[4,2] [1,2,3,6,5,4]=>[4,1,1] [1,2,4,3,5,6]=>[3,3] [1,2,4,3,6,5]=>[3,2,1] [1,2,4,5,3,6]=>[4,2] [1,2,4,5,6,3]=>[5,1] [1,2,4,6,3,5]=>[4,2] [1,2,4,6,5,3]=>[4,1,1] [1,2,5,3,4,6]=>[3,3] [1,2,5,3,6,4]=>[3,2,1] [1,2,5,4,3,6]=>[3,1,2] [1,2,5,4,6,3]=>[3,2,1] [1,2,5,6,3,4]=>[4,2] [1,2,5,6,4,3]=>[4,1,1] [1,2,6,3,4,5]=>[3,3] [1,2,6,3,5,4]=>[3,2,1] [1,2,6,4,3,5]=>[3,1,2] [1,2,6,4,5,3]=>[3,2,1] [1,2,6,5,3,4]=>[3,1,2] [1,2,6,5,4,3]=>[3,1,1,1] [1,3,2,4,5,6]=>[2,4] [1,3,2,4,6,5]=>[2,3,1] [1,3,2,5,4,6]=>[2,2,2] [1,3,2,5,6,4]=>[2,3,1] [1,3,2,6,4,5]=>[2,2,2] [1,3,2,6,5,4]=>[2,2,1,1] [1,3,4,2,5,6]=>[3,3] [1,3,4,2,6,5]=>[3,2,1] [1,3,4,5,2,6]=>[4,2] [1,3,4,5,6,2]=>[5,1] [1,3,4,6,2,5]=>[4,2] [1,3,4,6,5,2]=>[4,1,1] [1,3,5,2,4,6]=>[3,3] [1,3,5,2,6,4]=>[3,2,1] [1,3,5,4,2,6]=>[3,1,2] [1,3,5,4,6,2]=>[3,2,1] [1,3,5,6,2,4]=>[4,2] [1,3,5,6,4,2]=>[4,1,1] [1,3,6,2,4,5]=>[3,3] [1,3,6,2,5,4]=>[3,2,1] [1,3,6,4,2,5]=>[3,1,2] [1,3,6,4,5,2]=>[3,2,1] [1,3,6,5,2,4]=>[3,1,2] [1,3,6,5,4,2]=>[3,1,1,1] [1,4,2,3,5,6]=>[2,4] [1,4,2,3,6,5]=>[2,3,1] [1,4,2,5,3,6]=>[2,2,2] [1,4,2,5,6,3]=>[2,3,1] [1,4,2,6,3,5]=>[2,2,2] [1,4,2,6,5,3]=>[2,2,1,1] [1,4,3,2,5,6]=>[2,1,3] [1,4,3,2,6,5]=>[2,1,2,1] [1,4,3,5,2,6]=>[2,2,2] [1,4,3,5,6,2]=>[2,3,1] [1,4,3,6,2,5]=>[2,2,2] [1,4,3,6,5,2]=>[2,2,1,1] [1,4,5,2,3,6]=>[3,3] [1,4,5,2,6,3]=>[3,2,1] [1,4,5,3,2,6]=>[3,1,2] [1,4,5,3,6,2]=>[3,2,1] [1,4,5,6,2,3]=>[4,2] [1,4,5,6,3,2]=>[4,1,1] [1,4,6,2,3,5]=>[3,3] [1,4,6,2,5,3]=>[3,2,1] [1,4,6,3,2,5]=>[3,1,2] [1,4,6,3,5,2]=>[3,2,1] [1,4,6,5,2,3]=>[3,1,2] [1,4,6,5,3,2]=>[3,1,1,1] [1,5,2,3,4,6]=>[2,4] [1,5,2,3,6,4]=>[2,3,1] [1,5,2,4,3,6]=>[2,2,2] [1,5,2,4,6,3]=>[2,3,1] [1,5,2,6,3,4]=>[2,2,2] [1,5,2,6,4,3]=>[2,2,1,1] [1,5,3,2,4,6]=>[2,1,3] [1,5,3,2,6,4]=>[2,1,2,1] [1,5,3,4,2,6]=>[2,2,2] [1,5,3,4,6,2]=>[2,3,1] [1,5,3,6,2,4]=>[2,2,2] [1,5,3,6,4,2]=>[2,2,1,1] [1,5,4,2,3,6]=>[2,1,3] [1,5,4,2,6,3]=>[2,1,2,1] [1,5,4,3,2,6]=>[2,1,1,2] [1,5,4,3,6,2]=>[2,1,2,1] [1,5,4,6,2,3]=>[2,2,2] [1,5,4,6,3,2]=>[2,2,1,1] [1,5,6,2,3,4]=>[3,3] [1,5,6,2,4,3]=>[3,2,1] [1,5,6,3,2,4]=>[3,1,2] [1,5,6,3,4,2]=>[3,2,1] [1,5,6,4,2,3]=>[3,1,2] [1,5,6,4,3,2]=>[3,1,1,1] [1,6,2,3,4,5]=>[2,4] [1,6,2,3,5,4]=>[2,3,1] [1,6,2,4,3,5]=>[2,2,2] [1,6,2,4,5,3]=>[2,3,1] [1,6,2,5,3,4]=>[2,2,2] [1,6,2,5,4,3]=>[2,2,1,1] [1,6,3,2,4,5]=>[2,1,3] [1,6,3,2,5,4]=>[2,1,2,1] [1,6,3,4,2,5]=>[2,2,2] [1,6,3,4,5,2]=>[2,3,1] [1,6,3,5,2,4]=>[2,2,2] [1,6,3,5,4,2]=>[2,2,1,1] [1,6,4,2,3,5]=>[2,1,3] [1,6,4,2,5,3]=>[2,1,2,1] [1,6,4,3,2,5]=>[2,1,1,2] [1,6,4,3,5,2]=>[2,1,2,1] [1,6,4,5,2,3]=>[2,2,2] [1,6,4,5,3,2]=>[2,2,1,1] [1,6,5,2,3,4]=>[2,1,3] [1,6,5,2,4,3]=>[2,1,2,1] [1,6,5,3,2,4]=>[2,1,1,2] [1,6,5,3,4,2]=>[2,1,2,1] [1,6,5,4,2,3]=>[2,1,1,2] [1,6,5,4,3,2]=>[2,1,1,1,1] [2,1,3,4,5,6]=>[1,5] [2,1,3,4,6,5]=>[1,4,1] [2,1,3,5,4,6]=>[1,3,2] [2,1,3,5,6,4]=>[1,4,1] [2,1,3,6,4,5]=>[1,3,2] [2,1,3,6,5,4]=>[1,3,1,1] [2,1,4,3,5,6]=>[1,2,3] [2,1,4,3,6,5]=>[1,2,2,1] [2,1,4,5,3,6]=>[1,3,2] [2,1,4,5,6,3]=>[1,4,1] [2,1,4,6,3,5]=>[1,3,2] [2,1,4,6,5,3]=>[1,3,1,1] [2,1,5,3,4,6]=>[1,2,3] [2,1,5,3,6,4]=>[1,2,2,1] [2,1,5,4,3,6]=>[1,2,1,2] [2,1,5,4,6,3]=>[1,2,2,1] [2,1,5,6,3,4]=>[1,3,2] [2,1,5,6,4,3]=>[1,3,1,1] [2,1,6,3,4,5]=>[1,2,3] [2,1,6,3,5,4]=>[1,2,2,1] [2,1,6,4,3,5]=>[1,2,1,2] [2,1,6,4,5,3]=>[1,2,2,1] [2,1,6,5,3,4]=>[1,2,1,2] [2,1,6,5,4,3]=>[1,2,1,1,1] [2,3,1,4,5,6]=>[2,4] [2,3,1,4,6,5]=>[2,3,1] [2,3,1,5,4,6]=>[2,2,2] [2,3,1,5,6,4]=>[2,3,1] [2,3,1,6,4,5]=>[2,2,2] [2,3,1,6,5,4]=>[2,2,1,1] [2,3,4,1,5,6]=>[3,3] [2,3,4,1,6,5]=>[3,2,1] [2,3,4,5,1,6]=>[4,2] [2,3,4,5,6,1]=>[5,1] [2,3,4,6,1,5]=>[4,2] [2,3,4,6,5,1]=>[4,1,1] [2,3,5,1,4,6]=>[3,3] [2,3,5,1,6,4]=>[3,2,1] [2,3,5,4,1,6]=>[3,1,2] [2,3,5,4,6,1]=>[3,2,1] [2,3,5,6,1,4]=>[4,2] [2,3,5,6,4,1]=>[4,1,1] [2,3,6,1,4,5]=>[3,3] [2,3,6,1,5,4]=>[3,2,1] [2,3,6,4,1,5]=>[3,1,2] [2,3,6,4,5,1]=>[3,2,1] [2,3,6,5,1,4]=>[3,1,2] [2,3,6,5,4,1]=>[3,1,1,1] [2,4,1,3,5,6]=>[2,4] [2,4,1,3,6,5]=>[2,3,1] [2,4,1,5,3,6]=>[2,2,2] [2,4,1,5,6,3]=>[2,3,1] [2,4,1,6,3,5]=>[2,2,2] [2,4,1,6,5,3]=>[2,2,1,1] [2,4,3,1,5,6]=>[2,1,3] [2,4,3,1,6,5]=>[2,1,2,1] [2,4,3,5,1,6]=>[2,2,2] [2,4,3,5,6,1]=>[2,3,1] [2,4,3,6,1,5]=>[2,2,2] [2,4,3,6,5,1]=>[2,2,1,1] [2,4,5,1,3,6]=>[3,3] [2,4,5,1,6,3]=>[3,2,1] [2,4,5,3,1,6]=>[3,1,2] [2,4,5,3,6,1]=>[3,2,1] [2,4,5,6,1,3]=>[4,2] [2,4,5,6,3,1]=>[4,1,1] [2,4,6,1,3,5]=>[3,3] [2,4,6,1,5,3]=>[3,2,1] [2,4,6,3,1,5]=>[3,1,2] [2,4,6,3,5,1]=>[3,2,1] [2,4,6,5,1,3]=>[3,1,2] [2,4,6,5,3,1]=>[3,1,1,1] [2,5,1,3,4,6]=>[2,4] [2,5,1,3,6,4]=>[2,3,1] [2,5,1,4,3,6]=>[2,2,2] [2,5,1,4,6,3]=>[2,3,1] [2,5,1,6,3,4]=>[2,2,2] [2,5,1,6,4,3]=>[2,2,1,1] [2,5,3,1,4,6]=>[2,1,3] [2,5,3,1,6,4]=>[2,1,2,1] [2,5,3,4,1,6]=>[2,2,2] [2,5,3,4,6,1]=>[2,3,1] [2,5,3,6,1,4]=>[2,2,2] [2,5,3,6,4,1]=>[2,2,1,1] [2,5,4,1,3,6]=>[2,1,3] [2,5,4,1,6,3]=>[2,1,2,1] [2,5,4,3,1,6]=>[2,1,1,2] [2,5,4,3,6,1]=>[2,1,2,1] [2,5,4,6,1,3]=>[2,2,2] [2,5,4,6,3,1]=>[2,2,1,1] [2,5,6,1,3,4]=>[3,3] [2,5,6,1,4,3]=>[3,2,1] [2,5,6,3,1,4]=>[3,1,2] [2,5,6,3,4,1]=>[3,2,1] [2,5,6,4,1,3]=>[3,1,2] [2,5,6,4,3,1]=>[3,1,1,1] [2,6,1,3,4,5]=>[2,4] [2,6,1,3,5,4]=>[2,3,1] [2,6,1,4,3,5]=>[2,2,2] [2,6,1,4,5,3]=>[2,3,1] [2,6,1,5,3,4]=>[2,2,2] [2,6,1,5,4,3]=>[2,2,1,1] [2,6,3,1,4,5]=>[2,1,3] [2,6,3,1,5,4]=>[2,1,2,1] [2,6,3,4,1,5]=>[2,2,2] [2,6,3,4,5,1]=>[2,3,1] [2,6,3,5,1,4]=>[2,2,2] [2,6,3,5,4,1]=>[2,2,1,1] [2,6,4,1,3,5]=>[2,1,3] [2,6,4,1,5,3]=>[2,1,2,1] [2,6,4,3,1,5]=>[2,1,1,2] [2,6,4,3,5,1]=>[2,1,2,1] [2,6,4,5,1,3]=>[2,2,2] [2,6,4,5,3,1]=>[2,2,1,1] [2,6,5,1,3,4]=>[2,1,3] [2,6,5,1,4,3]=>[2,1,2,1] [2,6,5,3,1,4]=>[2,1,1,2] [2,6,5,3,4,1]=>[2,1,2,1] [2,6,5,4,1,3]=>[2,1,1,2] [2,6,5,4,3,1]=>[2,1,1,1,1] [3,1,2,4,5,6]=>[1,5] [3,1,2,4,6,5]=>[1,4,1] [3,1,2,5,4,6]=>[1,3,2] [3,1,2,5,6,4]=>[1,4,1] [3,1,2,6,4,5]=>[1,3,2] [3,1,2,6,5,4]=>[1,3,1,1] [3,1,4,2,5,6]=>[1,2,3] [3,1,4,2,6,5]=>[1,2,2,1] [3,1,4,5,2,6]=>[1,3,2] [3,1,4,5,6,2]=>[1,4,1] [3,1,4,6,2,5]=>[1,3,2] [3,1,4,6,5,2]=>[1,3,1,1] [3,1,5,2,4,6]=>[1,2,3] [3,1,5,2,6,4]=>[1,2,2,1] [3,1,5,4,2,6]=>[1,2,1,2] [3,1,5,4,6,2]=>[1,2,2,1] [3,1,5,6,2,4]=>[1,3,2] [3,1,5,6,4,2]=>[1,3,1,1] [3,1,6,2,4,5]=>[1,2,3] [3,1,6,2,5,4]=>[1,2,2,1] [3,1,6,4,2,5]=>[1,2,1,2] [3,1,6,4,5,2]=>[1,2,2,1] [3,1,6,5,2,4]=>[1,2,1,2] [3,1,6,5,4,2]=>[1,2,1,1,1] [3,2,1,4,5,6]=>[1,1,4] [3,2,1,4,6,5]=>[1,1,3,1] [3,2,1,5,4,6]=>[1,1,2,2] [3,2,1,5,6,4]=>[1,1,3,1] [3,2,1,6,4,5]=>[1,1,2,2] [3,2,1,6,5,4]=>[1,1,2,1,1] [3,2,4,1,5,6]=>[1,2,3] [3,2,4,1,6,5]=>[1,2,2,1] [3,2,4,5,1,6]=>[1,3,2] [3,2,4,5,6,1]=>[1,4,1] [3,2,4,6,1,5]=>[1,3,2] [3,2,4,6,5,1]=>[1,3,1,1] [3,2,5,1,4,6]=>[1,2,3] [3,2,5,1,6,4]=>[1,2,2,1] [3,2,5,4,1,6]=>[1,2,1,2] [3,2,5,4,6,1]=>[1,2,2,1] [3,2,5,6,1,4]=>[1,3,2] [3,2,5,6,4,1]=>[1,3,1,1] [3,2,6,1,4,5]=>[1,2,3] [3,2,6,1,5,4]=>[1,2,2,1] [3,2,6,4,1,5]=>[1,2,1,2] [3,2,6,4,5,1]=>[1,2,2,1] [3,2,6,5,1,4]=>[1,2,1,2] [3,2,6,5,4,1]=>[1,2,1,1,1] [3,4,1,2,5,6]=>[2,4] [3,4,1,2,6,5]=>[2,3,1] [3,4,1,5,2,6]=>[2,2,2] [3,4,1,5,6,2]=>[2,3,1] [3,4,1,6,2,5]=>[2,2,2] [3,4,1,6,5,2]=>[2,2,1,1] [3,4,2,1,5,6]=>[2,1,3] [3,4,2,1,6,5]=>[2,1,2,1] [3,4,2,5,1,6]=>[2,2,2] [3,4,2,5,6,1]=>[2,3,1] [3,4,2,6,1,5]=>[2,2,2] [3,4,2,6,5,1]=>[2,2,1,1] [3,4,5,1,2,6]=>[3,3] [3,4,5,1,6,2]=>[3,2,1] [3,4,5,2,1,6]=>[3,1,2] [3,4,5,2,6,1]=>[3,2,1] [3,4,5,6,1,2]=>[4,2] [3,4,5,6,2,1]=>[4,1,1] [3,4,6,1,2,5]=>[3,3] [3,4,6,1,5,2]=>[3,2,1] [3,4,6,2,1,5]=>[3,1,2] [3,4,6,2,5,1]=>[3,2,1] [3,4,6,5,1,2]=>[3,1,2] [3,4,6,5,2,1]=>[3,1,1,1] [3,5,1,2,4,6]=>[2,4] [3,5,1,2,6,4]=>[2,3,1] [3,5,1,4,2,6]=>[2,2,2] [3,5,1,4,6,2]=>[2,3,1] [3,5,1,6,2,4]=>[2,2,2] [3,5,1,6,4,2]=>[2,2,1,1] [3,5,2,1,4,6]=>[2,1,3] [3,5,2,1,6,4]=>[2,1,2,1] [3,5,2,4,1,6]=>[2,2,2] [3,5,2,4,6,1]=>[2,3,1] [3,5,2,6,1,4]=>[2,2,2] [3,5,2,6,4,1]=>[2,2,1,1] [3,5,4,1,2,6]=>[2,1,3] [3,5,4,1,6,2]=>[2,1,2,1] [3,5,4,2,1,6]=>[2,1,1,2] [3,5,4,2,6,1]=>[2,1,2,1] [3,5,4,6,1,2]=>[2,2,2] [3,5,4,6,2,1]=>[2,2,1,1] [3,5,6,1,2,4]=>[3,3] [3,5,6,1,4,2]=>[3,2,1] [3,5,6,2,1,4]=>[3,1,2] [3,5,6,2,4,1]=>[3,2,1] [3,5,6,4,1,2]=>[3,1,2] [3,5,6,4,2,1]=>[3,1,1,1] [3,6,1,2,4,5]=>[2,4] [3,6,1,2,5,4]=>[2,3,1] [3,6,1,4,2,5]=>[2,2,2] [3,6,1,4,5,2]=>[2,3,1] [3,6,1,5,2,4]=>[2,2,2] [3,6,1,5,4,2]=>[2,2,1,1] [3,6,2,1,4,5]=>[2,1,3] [3,6,2,1,5,4]=>[2,1,2,1] [3,6,2,4,1,5]=>[2,2,2] [3,6,2,4,5,1]=>[2,3,1] [3,6,2,5,1,4]=>[2,2,2] [3,6,2,5,4,1]=>[2,2,1,1] [3,6,4,1,2,5]=>[2,1,3] [3,6,4,1,5,2]=>[2,1,2,1] [3,6,4,2,1,5]=>[2,1,1,2] [3,6,4,2,5,1]=>[2,1,2,1] [3,6,4,5,1,2]=>[2,2,2] [3,6,4,5,2,1]=>[2,2,1,1] [3,6,5,1,2,4]=>[2,1,3] [3,6,5,1,4,2]=>[2,1,2,1] [3,6,5,2,1,4]=>[2,1,1,2] [3,6,5,2,4,1]=>[2,1,2,1] [3,6,5,4,1,2]=>[2,1,1,2] [3,6,5,4,2,1]=>[2,1,1,1,1] [4,1,2,3,5,6]=>[1,5] [4,1,2,3,6,5]=>[1,4,1] [4,1,2,5,3,6]=>[1,3,2] [4,1,2,5,6,3]=>[1,4,1] [4,1,2,6,3,5]=>[1,3,2] [4,1,2,6,5,3]=>[1,3,1,1] [4,1,3,2,5,6]=>[1,2,3] [4,1,3,2,6,5]=>[1,2,2,1] [4,1,3,5,2,6]=>[1,3,2] [4,1,3,5,6,2]=>[1,4,1] [4,1,3,6,2,5]=>[1,3,2] [4,1,3,6,5,2]=>[1,3,1,1] [4,1,5,2,3,6]=>[1,2,3] [4,1,5,2,6,3]=>[1,2,2,1] [4,1,5,3,2,6]=>[1,2,1,2] [4,1,5,3,6,2]=>[1,2,2,1] [4,1,5,6,2,3]=>[1,3,2] [4,1,5,6,3,2]=>[1,3,1,1] [4,1,6,2,3,5]=>[1,2,3] [4,1,6,2,5,3]=>[1,2,2,1] [4,1,6,3,2,5]=>[1,2,1,2] [4,1,6,3,5,2]=>[1,2,2,1] [4,1,6,5,2,3]=>[1,2,1,2] [4,1,6,5,3,2]=>[1,2,1,1,1] [4,2,1,3,5,6]=>[1,1,4] [4,2,1,3,6,5]=>[1,1,3,1] [4,2,1,5,3,6]=>[1,1,2,2] [4,2,1,5,6,3]=>[1,1,3,1] [4,2,1,6,3,5]=>[1,1,2,2] [4,2,1,6,5,3]=>[1,1,2,1,1] [4,2,3,1,5,6]=>[1,2,3] [4,2,3,1,6,5]=>[1,2,2,1] [4,2,3,5,1,6]=>[1,3,2] [4,2,3,5,6,1]=>[1,4,1] [4,2,3,6,1,5]=>[1,3,2] [4,2,3,6,5,1]=>[1,3,1,1] [4,2,5,1,3,6]=>[1,2,3] [4,2,5,1,6,3]=>[1,2,2,1] [4,2,5,3,1,6]=>[1,2,1,2] [4,2,5,3,6,1]=>[1,2,2,1] [4,2,5,6,1,3]=>[1,3,2] [4,2,5,6,3,1]=>[1,3,1,1] [4,2,6,1,3,5]=>[1,2,3] [4,2,6,1,5,3]=>[1,2,2,1] [4,2,6,3,1,5]=>[1,2,1,2] [4,2,6,3,5,1]=>[1,2,2,1] [4,2,6,5,1,3]=>[1,2,1,2] [4,2,6,5,3,1]=>[1,2,1,1,1] [4,3,1,2,5,6]=>[1,1,4] [4,3,1,2,6,5]=>[1,1,3,1] [4,3,1,5,2,6]=>[1,1,2,2] [4,3,1,5,6,2]=>[1,1,3,1] [4,3,1,6,2,5]=>[1,1,2,2] [4,3,1,6,5,2]=>[1,1,2,1,1] [4,3,2,1,5,6]=>[1,1,1,3] [4,3,2,1,6,5]=>[1,1,1,2,1] [4,3,2,5,1,6]=>[1,1,2,2] [4,3,2,5,6,1]=>[1,1,3,1] [4,3,2,6,1,5]=>[1,1,2,2] [4,3,2,6,5,1]=>[1,1,2,1,1] [4,3,5,1,2,6]=>[1,2,3] [4,3,5,1,6,2]=>[1,2,2,1] [4,3,5,2,1,6]=>[1,2,1,2] [4,3,5,2,6,1]=>[1,2,2,1] [4,3,5,6,1,2]=>[1,3,2] [4,3,5,6,2,1]=>[1,3,1,1] [4,3,6,1,2,5]=>[1,2,3] [4,3,6,1,5,2]=>[1,2,2,1] [4,3,6,2,1,5]=>[1,2,1,2] [4,3,6,2,5,1]=>[1,2,2,1] [4,3,6,5,1,2]=>[1,2,1,2] [4,3,6,5,2,1]=>[1,2,1,1,1] [4,5,1,2,3,6]=>[2,4] [4,5,1,2,6,3]=>[2,3,1] [4,5,1,3,2,6]=>[2,2,2] [4,5,1,3,6,2]=>[2,3,1] [4,5,1,6,2,3]=>[2,2,2] [4,5,1,6,3,2]=>[2,2,1,1] [4,5,2,1,3,6]=>[2,1,3] [4,5,2,1,6,3]=>[2,1,2,1] [4,5,2,3,1,6]=>[2,2,2] [4,5,2,3,6,1]=>[2,3,1] [4,5,2,6,1,3]=>[2,2,2] [4,5,2,6,3,1]=>[2,2,1,1] [4,5,3,1,2,6]=>[2,1,3] [4,5,3,1,6,2]=>[2,1,2,1] [4,5,3,2,1,6]=>[2,1,1,2] [4,5,3,2,6,1]=>[2,1,2,1] [4,5,3,6,1,2]=>[2,2,2] [4,5,3,6,2,1]=>[2,2,1,1] [4,5,6,1,2,3]=>[3,3] [4,5,6,1,3,2]=>[3,2,1] [4,5,6,2,1,3]=>[3,1,2] [4,5,6,2,3,1]=>[3,2,1] [4,5,6,3,1,2]=>[3,1,2] [4,5,6,3,2,1]=>[3,1,1,1] [4,6,1,2,3,5]=>[2,4] [4,6,1,2,5,3]=>[2,3,1] [4,6,1,3,2,5]=>[2,2,2] [4,6,1,3,5,2]=>[2,3,1] [4,6,1,5,2,3]=>[2,2,2] [4,6,1,5,3,2]=>[2,2,1,1] [4,6,2,1,3,5]=>[2,1,3] [4,6,2,1,5,3]=>[2,1,2,1] [4,6,2,3,1,5]=>[2,2,2] [4,6,2,3,5,1]=>[2,3,1] [4,6,2,5,1,3]=>[2,2,2] [4,6,2,5,3,1]=>[2,2,1,1] [4,6,3,1,2,5]=>[2,1,3] [4,6,3,1,5,2]=>[2,1,2,1] [4,6,3,2,1,5]=>[2,1,1,2] [4,6,3,2,5,1]=>[2,1,2,1] [4,6,3,5,1,2]=>[2,2,2] [4,6,3,5,2,1]=>[2,2,1,1] [4,6,5,1,2,3]=>[2,1,3] [4,6,5,1,3,2]=>[2,1,2,1] [4,6,5,2,1,3]=>[2,1,1,2] [4,6,5,2,3,1]=>[2,1,2,1] [4,6,5,3,1,2]=>[2,1,1,2] [4,6,5,3,2,1]=>[2,1,1,1,1] [5,1,2,3,4,6]=>[1,5] [5,1,2,3,6,4]=>[1,4,1] [5,1,2,4,3,6]=>[1,3,2] [5,1,2,4,6,3]=>[1,4,1] [5,1,2,6,3,4]=>[1,3,2] [5,1,2,6,4,3]=>[1,3,1,1] [5,1,3,2,4,6]=>[1,2,3] [5,1,3,2,6,4]=>[1,2,2,1] [5,1,3,4,2,6]=>[1,3,2] [5,1,3,4,6,2]=>[1,4,1] [5,1,3,6,2,4]=>[1,3,2] [5,1,3,6,4,2]=>[1,3,1,1] [5,1,4,2,3,6]=>[1,2,3] [5,1,4,2,6,3]=>[1,2,2,1] [5,1,4,3,2,6]=>[1,2,1,2] [5,1,4,3,6,2]=>[1,2,2,1] [5,1,4,6,2,3]=>[1,3,2] [5,1,4,6,3,2]=>[1,3,1,1] [5,1,6,2,3,4]=>[1,2,3] [5,1,6,2,4,3]=>[1,2,2,1] [5,1,6,3,2,4]=>[1,2,1,2] [5,1,6,3,4,2]=>[1,2,2,1] [5,1,6,4,2,3]=>[1,2,1,2] [5,1,6,4,3,2]=>[1,2,1,1,1] [5,2,1,3,4,6]=>[1,1,4] [5,2,1,3,6,4]=>[1,1,3,1] [5,2,1,4,3,6]=>[1,1,2,2] [5,2,1,4,6,3]=>[1,1,3,1] [5,2,1,6,3,4]=>[1,1,2,2] [5,2,1,6,4,3]=>[1,1,2,1,1] [5,2,3,1,4,6]=>[1,2,3] [5,2,3,1,6,4]=>[1,2,2,1] [5,2,3,4,1,6]=>[1,3,2] [5,2,3,4,6,1]=>[1,4,1] [5,2,3,6,1,4]=>[1,3,2] [5,2,3,6,4,1]=>[1,3,1,1] [5,2,4,1,3,6]=>[1,2,3] [5,2,4,1,6,3]=>[1,2,2,1] [5,2,4,3,1,6]=>[1,2,1,2] [5,2,4,3,6,1]=>[1,2,2,1] [5,2,4,6,1,3]=>[1,3,2] [5,2,4,6,3,1]=>[1,3,1,1] [5,2,6,1,3,4]=>[1,2,3] [5,2,6,1,4,3]=>[1,2,2,1] [5,2,6,3,1,4]=>[1,2,1,2] [5,2,6,3,4,1]=>[1,2,2,1] [5,2,6,4,1,3]=>[1,2,1,2] [5,2,6,4,3,1]=>[1,2,1,1,1] [5,3,1,2,4,6]=>[1,1,4] [5,3,1,2,6,4]=>[1,1,3,1] [5,3,1,4,2,6]=>[1,1,2,2] [5,3,1,4,6,2]=>[1,1,3,1] [5,3,1,6,2,4]=>[1,1,2,2] [5,3,1,6,4,2]=>[1,1,2,1,1] [5,3,2,1,4,6]=>[1,1,1,3] [5,3,2,1,6,4]=>[1,1,1,2,1] [5,3,2,4,1,6]=>[1,1,2,2] [5,3,2,4,6,1]=>[1,1,3,1] [5,3,2,6,1,4]=>[1,1,2,2] [5,3,2,6,4,1]=>[1,1,2,1,1] [5,3,4,1,2,6]=>[1,2,3] [5,3,4,1,6,2]=>[1,2,2,1] [5,3,4,2,1,6]=>[1,2,1,2] [5,3,4,2,6,1]=>[1,2,2,1] [5,3,4,6,1,2]=>[1,3,2] [5,3,4,6,2,1]=>[1,3,1,1] [5,3,6,1,2,4]=>[1,2,3] [5,3,6,1,4,2]=>[1,2,2,1] [5,3,6,2,1,4]=>[1,2,1,2] [5,3,6,2,4,1]=>[1,2,2,1] [5,3,6,4,1,2]=>[1,2,1,2] [5,3,6,4,2,1]=>[1,2,1,1,1] [5,4,1,2,3,6]=>[1,1,4] [5,4,1,2,6,3]=>[1,1,3,1] [5,4,1,3,2,6]=>[1,1,2,2] [5,4,1,3,6,2]=>[1,1,3,1] [5,4,1,6,2,3]=>[1,1,2,2] [5,4,1,6,3,2]=>[1,1,2,1,1] [5,4,2,1,3,6]=>[1,1,1,3] [5,4,2,1,6,3]=>[1,1,1,2,1] [5,4,2,3,1,6]=>[1,1,2,2] [5,4,2,3,6,1]=>[1,1,3,1] [5,4,2,6,1,3]=>[1,1,2,2] [5,4,2,6,3,1]=>[1,1,2,1,1] [5,4,3,1,2,6]=>[1,1,1,3] [5,4,3,1,6,2]=>[1,1,1,2,1] [5,4,3,2,1,6]=>[1,1,1,1,2] [5,4,3,2,6,1]=>[1,1,1,2,1] [5,4,3,6,1,2]=>[1,1,2,2] [5,4,3,6,2,1]=>[1,1,2,1,1] [5,4,6,1,2,3]=>[1,2,3] [5,4,6,1,3,2]=>[1,2,2,1] [5,4,6,2,1,3]=>[1,2,1,2] [5,4,6,2,3,1]=>[1,2,2,1] [5,4,6,3,1,2]=>[1,2,1,2] [5,4,6,3,2,1]=>[1,2,1,1,1] [5,6,1,2,3,4]=>[2,4] [5,6,1,2,4,3]=>[2,3,1] [5,6,1,3,2,4]=>[2,2,2] [5,6,1,3,4,2]=>[2,3,1] [5,6,1,4,2,3]=>[2,2,2] [5,6,1,4,3,2]=>[2,2,1,1] [5,6,2,1,3,4]=>[2,1,3] [5,6,2,1,4,3]=>[2,1,2,1] [5,6,2,3,1,4]=>[2,2,2] [5,6,2,3,4,1]=>[2,3,1] [5,6,2,4,1,3]=>[2,2,2] [5,6,2,4,3,1]=>[2,2,1,1] [5,6,3,1,2,4]=>[2,1,3] [5,6,3,1,4,2]=>[2,1,2,1] [5,6,3,2,1,4]=>[2,1,1,2] [5,6,3,2,4,1]=>[2,1,2,1] [5,6,3,4,1,2]=>[2,2,2] [5,6,3,4,2,1]=>[2,2,1,1] [5,6,4,1,2,3]=>[2,1,3] [5,6,4,1,3,2]=>[2,1,2,1] [5,6,4,2,1,3]=>[2,1,1,2] [5,6,4,2,3,1]=>[2,1,2,1] [5,6,4,3,1,2]=>[2,1,1,2] [5,6,4,3,2,1]=>[2,1,1,1,1] [6,1,2,3,4,5]=>[1,5] [6,1,2,3,5,4]=>[1,4,1] [6,1,2,4,3,5]=>[1,3,2] [6,1,2,4,5,3]=>[1,4,1] [6,1,2,5,3,4]=>[1,3,2] [6,1,2,5,4,3]=>[1,3,1,1] [6,1,3,2,4,5]=>[1,2,3] [6,1,3,2,5,4]=>[1,2,2,1] [6,1,3,4,2,5]=>[1,3,2] [6,1,3,4,5,2]=>[1,4,1] [6,1,3,5,2,4]=>[1,3,2] [6,1,3,5,4,2]=>[1,3,1,1] [6,1,4,2,3,5]=>[1,2,3] [6,1,4,2,5,3]=>[1,2,2,1] [6,1,4,3,2,5]=>[1,2,1,2] [6,1,4,3,5,2]=>[1,2,2,1] [6,1,4,5,2,3]=>[1,3,2] [6,1,4,5,3,2]=>[1,3,1,1] [6,1,5,2,3,4]=>[1,2,3] [6,1,5,2,4,3]=>[1,2,2,1] [6,1,5,3,2,4]=>[1,2,1,2] [6,1,5,3,4,2]=>[1,2,2,1] [6,1,5,4,2,3]=>[1,2,1,2] [6,1,5,4,3,2]=>[1,2,1,1,1] [6,2,1,3,4,5]=>[1,1,4] [6,2,1,3,5,4]=>[1,1,3,1] [6,2,1,4,3,5]=>[1,1,2,2] [6,2,1,4,5,3]=>[1,1,3,1] [6,2,1,5,3,4]=>[1,1,2,2] [6,2,1,5,4,3]=>[1,1,2,1,1] [6,2,3,1,4,5]=>[1,2,3] [6,2,3,1,5,4]=>[1,2,2,1] [6,2,3,4,1,5]=>[1,3,2] [6,2,3,4,5,1]=>[1,4,1] [6,2,3,5,1,4]=>[1,3,2] [6,2,3,5,4,1]=>[1,3,1,1] [6,2,4,1,3,5]=>[1,2,3] [6,2,4,1,5,3]=>[1,2,2,1] [6,2,4,3,1,5]=>[1,2,1,2] [6,2,4,3,5,1]=>[1,2,2,1] [6,2,4,5,1,3]=>[1,3,2] [6,2,4,5,3,1]=>[1,3,1,1] [6,2,5,1,3,4]=>[1,2,3] [6,2,5,1,4,3]=>[1,2,2,1] [6,2,5,3,1,4]=>[1,2,1,2] [6,2,5,3,4,1]=>[1,2,2,1] [6,2,5,4,1,3]=>[1,2,1,2] [6,2,5,4,3,1]=>[1,2,1,1,1] [6,3,1,2,4,5]=>[1,1,4] [6,3,1,2,5,4]=>[1,1,3,1] [6,3,1,4,2,5]=>[1,1,2,2] [6,3,1,4,5,2]=>[1,1,3,1] [6,3,1,5,2,4]=>[1,1,2,2] [6,3,1,5,4,2]=>[1,1,2,1,1] [6,3,2,1,4,5]=>[1,1,1,3] [6,3,2,1,5,4]=>[1,1,1,2,1] [6,3,2,4,1,5]=>[1,1,2,2] [6,3,2,4,5,1]=>[1,1,3,1] [6,3,2,5,1,4]=>[1,1,2,2] [6,3,2,5,4,1]=>[1,1,2,1,1] [6,3,4,1,2,5]=>[1,2,3] [6,3,4,1,5,2]=>[1,2,2,1] [6,3,4,2,1,5]=>[1,2,1,2] [6,3,4,2,5,1]=>[1,2,2,1] [6,3,4,5,1,2]=>[1,3,2] [6,3,4,5,2,1]=>[1,3,1,1] [6,3,5,1,2,4]=>[1,2,3] [6,3,5,1,4,2]=>[1,2,2,1] [6,3,5,2,1,4]=>[1,2,1,2] [6,3,5,2,4,1]=>[1,2,2,1] [6,3,5,4,1,2]=>[1,2,1,2] [6,3,5,4,2,1]=>[1,2,1,1,1] [6,4,1,2,3,5]=>[1,1,4] [6,4,1,2,5,3]=>[1,1,3,1] [6,4,1,3,2,5]=>[1,1,2,2] [6,4,1,3,5,2]=>[1,1,3,1] [6,4,1,5,2,3]=>[1,1,2,2] [6,4,1,5,3,2]=>[1,1,2,1,1] [6,4,2,1,3,5]=>[1,1,1,3] [6,4,2,1,5,3]=>[1,1,1,2,1] [6,4,2,3,1,5]=>[1,1,2,2] [6,4,2,3,5,1]=>[1,1,3,1] [6,4,2,5,1,3]=>[1,1,2,2] [6,4,2,5,3,1]=>[1,1,2,1,1] [6,4,3,1,2,5]=>[1,1,1,3] [6,4,3,1,5,2]=>[1,1,1,2,1] [6,4,3,2,1,5]=>[1,1,1,1,2] [6,4,3,2,5,1]=>[1,1,1,2,1] [6,4,3,5,1,2]=>[1,1,2,2] [6,4,3,5,2,1]=>[1,1,2,1,1] [6,4,5,1,2,3]=>[1,2,3] [6,4,5,1,3,2]=>[1,2,2,1] [6,4,5,2,1,3]=>[1,2,1,2] [6,4,5,2,3,1]=>[1,2,2,1] [6,4,5,3,1,2]=>[1,2,1,2] [6,4,5,3,2,1]=>[1,2,1,1,1] [6,5,1,2,3,4]=>[1,1,4] [6,5,1,2,4,3]=>[1,1,3,1] [6,5,1,3,2,4]=>[1,1,2,2] [6,5,1,3,4,2]=>[1,1,3,1] [6,5,1,4,2,3]=>[1,1,2,2] [6,5,1,4,3,2]=>[1,1,2,1,1] [6,5,2,1,3,4]=>[1,1,1,3] [6,5,2,1,4,3]=>[1,1,1,2,1] [6,5,2,3,1,4]=>[1,1,2,2] [6,5,2,3,4,1]=>[1,1,3,1] [6,5,2,4,1,3]=>[1,1,2,2] [6,5,2,4,3,1]=>[1,1,2,1,1] [6,5,3,1,2,4]=>[1,1,1,3] [6,5,3,1,4,2]=>[1,1,1,2,1] [6,5,3,2,1,4]=>[1,1,1,1,2] [6,5,3,2,4,1]=>[1,1,1,2,1] [6,5,3,4,1,2]=>[1,1,2,2] [6,5,3,4,2,1]=>[1,1,2,1,1] [6,5,4,1,2,3]=>[1,1,1,3] [6,5,4,1,3,2]=>[1,1,1,2,1] [6,5,4,2,1,3]=>[1,1,1,1,2] [6,5,4,2,3,1]=>[1,1,1,2,1] [6,5,4,3,1,2]=>[1,1,1,1,2] [6,5,4,3,2,1]=>[1,1,1,1,1,1] [1,2,3,4,5,6,7]=>[7] [1,2,3,4,5,7,6]=>[6,1] [1,2,3,4,6,5,7]=>[5,2] [1,2,3,4,6,7,5]=>[6,1] [1,2,3,4,7,5,6]=>[5,2] [1,2,3,4,7,6,5]=>[5,1,1] [1,2,3,5,4,6,7]=>[4,3] [1,2,3,5,4,7,6]=>[4,2,1] [1,2,3,5,6,4,7]=>[5,2] [1,2,3,5,6,7,4]=>[6,1] [1,2,3,5,7,4,6]=>[5,2] [1,2,3,5,7,6,4]=>[5,1,1] [1,2,3,6,4,5,7]=>[4,3] [1,2,3,6,4,7,5]=>[4,2,1] [1,2,3,6,5,4,7]=>[4,1,2] [1,2,3,6,5,7,4]=>[4,2,1] [1,2,3,6,7,4,5]=>[5,2] [1,2,3,6,7,5,4]=>[5,1,1] [1,2,3,7,4,5,6]=>[4,3] [1,2,3,7,4,6,5]=>[4,2,1] [1,2,3,7,5,4,6]=>[4,1,2] [1,2,3,7,5,6,4]=>[4,2,1] [1,2,3,7,6,4,5]=>[4,1,2] [1,2,3,7,6,5,4]=>[4,1,1,1] [1,2,4,3,5,6,7]=>[3,4] [1,2,4,3,5,7,6]=>[3,3,1] [1,2,4,3,6,5,7]=>[3,2,2] [1,2,4,3,6,7,5]=>[3,3,1] [1,2,4,3,7,5,6]=>[3,2,2] [1,2,4,3,7,6,5]=>[3,2,1,1] [1,2,4,5,3,6,7]=>[4,3] [1,2,4,5,3,7,6]=>[4,2,1] [1,2,4,5,6,3,7]=>[5,2] [1,2,4,5,6,7,3]=>[6,1] [1,2,4,5,7,3,6]=>[5,2] [1,2,4,5,7,6,3]=>[5,1,1] [1,2,4,6,3,5,7]=>[4,3] [1,2,4,6,3,7,5]=>[4,2,1] [1,2,4,6,5,3,7]=>[4,1,2] [1,2,4,6,5,7,3]=>[4,2,1] [1,2,4,6,7,3,5]=>[5,2] [1,2,4,6,7,5,3]=>[5,1,1] [1,2,4,7,3,5,6]=>[4,3] [1,2,4,7,3,6,5]=>[4,2,1] [1,2,4,7,5,3,6]=>[4,1,2] [1,2,4,7,5,6,3]=>[4,2,1] [1,2,4,7,6,3,5]=>[4,1,2] [1,2,4,7,6,5,3]=>[4,1,1,1] [1,2,5,3,4,6,7]=>[3,4] [1,2,5,3,4,7,6]=>[3,3,1] [1,2,5,3,6,4,7]=>[3,2,2] [1,2,5,3,6,7,4]=>[3,3,1] [1,2,5,3,7,4,6]=>[3,2,2] [1,2,5,3,7,6,4]=>[3,2,1,1] [1,2,5,4,3,6,7]=>[3,1,3] [1,2,5,4,3,7,6]=>[3,1,2,1] [1,2,5,4,6,3,7]=>[3,2,2] [1,2,5,4,6,7,3]=>[3,3,1] [1,2,5,4,7,3,6]=>[3,2,2] [1,2,5,4,7,6,3]=>[3,2,1,1] [1,2,5,6,3,4,7]=>[4,3] [1,2,5,6,3,7,4]=>[4,2,1] [1,2,5,6,4,3,7]=>[4,1,2] [1,2,5,6,4,7,3]=>[4,2,1] [1,2,5,6,7,3,4]=>[5,2] [1,2,5,6,7,4,3]=>[5,1,1] [1,2,5,7,3,4,6]=>[4,3] [1,2,5,7,3,6,4]=>[4,2,1] [1,2,5,7,4,3,6]=>[4,1,2] [1,2,5,7,4,6,3]=>[4,2,1] [1,2,5,7,6,3,4]=>[4,1,2] [1,2,5,7,6,4,3]=>[4,1,1,1] [1,2,6,3,4,5,7]=>[3,4] [1,2,6,3,4,7,5]=>[3,3,1] [1,2,6,3,5,4,7]=>[3,2,2] [1,2,6,3,5,7,4]=>[3,3,1] [1,2,6,3,7,4,5]=>[3,2,2] [1,2,6,3,7,5,4]=>[3,2,1,1] [1,2,6,4,3,5,7]=>[3,1,3] [1,2,6,4,3,7,5]=>[3,1,2,1] [1,2,6,4,5,3,7]=>[3,2,2] [1,2,6,4,5,7,3]=>[3,3,1] [1,2,6,4,7,3,5]=>[3,2,2] [1,2,6,4,7,5,3]=>[3,2,1,1] [1,2,6,5,3,4,7]=>[3,1,3] [1,2,6,5,3,7,4]=>[3,1,2,1] [1,2,6,5,4,3,7]=>[3,1,1,2] [1,2,6,5,4,7,3]=>[3,1,2,1] [1,2,6,5,7,3,4]=>[3,2,2] [1,2,6,5,7,4,3]=>[3,2,1,1] [1,2,6,7,3,4,5]=>[4,3] [1,2,6,7,3,5,4]=>[4,2,1] [1,2,6,7,4,3,5]=>[4,1,2] [1,2,6,7,4,5,3]=>[4,2,1] [1,2,6,7,5,3,4]=>[4,1,2] [1,2,6,7,5,4,3]=>[4,1,1,1] [1,2,7,3,4,5,6]=>[3,4] [1,2,7,3,4,6,5]=>[3,3,1] [1,2,7,3,5,4,6]=>[3,2,2] [1,2,7,3,5,6,4]=>[3,3,1] [1,2,7,3,6,4,5]=>[3,2,2] [1,2,7,3,6,5,4]=>[3,2,1,1] [1,2,7,4,3,5,6]=>[3,1,3] [1,2,7,4,3,6,5]=>[3,1,2,1] [1,2,7,4,5,3,6]=>[3,2,2] [1,2,7,4,5,6,3]=>[3,3,1] [1,2,7,4,6,3,5]=>[3,2,2] [1,2,7,4,6,5,3]=>[3,2,1,1] [1,2,7,5,3,4,6]=>[3,1,3] [1,2,7,5,3,6,4]=>[3,1,2,1] [1,2,7,5,4,3,6]=>[3,1,1,2] [1,2,7,5,4,6,3]=>[3,1,2,1] [1,2,7,5,6,3,4]=>[3,2,2] [1,2,7,5,6,4,3]=>[3,2,1,1] [1,2,7,6,3,4,5]=>[3,1,3] [1,2,7,6,3,5,4]=>[3,1,2,1] [1,2,7,6,4,3,5]=>[3,1,1,2] [1,2,7,6,4,5,3]=>[3,1,2,1] [1,2,7,6,5,3,4]=>[3,1,1,2] [1,2,7,6,5,4,3]=>[3,1,1,1,1] [1,3,2,4,5,6,7]=>[2,5] [1,3,2,4,5,7,6]=>[2,4,1] [1,3,2,4,6,5,7]=>[2,3,2] [1,3,2,4,6,7,5]=>[2,4,1] [1,3,2,4,7,5,6]=>[2,3,2] [1,3,2,4,7,6,5]=>[2,3,1,1] [1,3,2,5,4,6,7]=>[2,2,3] [1,3,2,5,4,7,6]=>[2,2,2,1] [1,3,2,5,6,4,7]=>[2,3,2] [1,3,2,5,6,7,4]=>[2,4,1] [1,3,2,5,7,4,6]=>[2,3,2] [1,3,2,5,7,6,4]=>[2,3,1,1] [1,3,2,6,4,5,7]=>[2,2,3] [1,3,2,6,4,7,5]=>[2,2,2,1] [1,3,2,6,5,4,7]=>[2,2,1,2] [1,3,2,6,5,7,4]=>[2,2,2,1] [1,3,2,6,7,4,5]=>[2,3,2] [1,3,2,6,7,5,4]=>[2,3,1,1] [1,3,2,7,4,5,6]=>[2,2,3] [1,3,2,7,4,6,5]=>[2,2,2,1] [1,3,2,7,5,4,6]=>[2,2,1,2] [1,3,2,7,5,6,4]=>[2,2,2,1] [1,3,2,7,6,4,5]=>[2,2,1,2] [1,3,2,7,6,5,4]=>[2,2,1,1,1] [1,3,4,2,5,6,7]=>[3,4] [1,3,4,2,5,7,6]=>[3,3,1] [1,3,4,2,6,5,7]=>[3,2,2] [1,3,4,2,6,7,5]=>[3,3,1] [1,3,4,2,7,5,6]=>[3,2,2] [1,3,4,2,7,6,5]=>[3,2,1,1] [1,3,4,5,2,6,7]=>[4,3] [1,3,4,5,2,7,6]=>[4,2,1] [1,3,4,5,6,2,7]=>[5,2] [1,3,4,5,6,7,2]=>[6,1] [1,3,4,5,7,2,6]=>[5,2] [1,3,4,5,7,6,2]=>[5,1,1] [1,3,4,6,2,5,7]=>[4,3] [1,3,4,6,2,7,5]=>[4,2,1] [1,3,4,6,5,2,7]=>[4,1,2] [1,3,4,6,5,7,2]=>[4,2,1] [1,3,4,6,7,2,5]=>[5,2] [1,3,4,6,7,5,2]=>[5,1,1] [1,3,4,7,2,5,6]=>[4,3] [1,3,4,7,2,6,5]=>[4,2,1] [1,3,4,7,5,2,6]=>[4,1,2] [1,3,4,7,5,6,2]=>[4,2,1] [1,3,4,7,6,2,5]=>[4,1,2] [1,3,4,7,6,5,2]=>[4,1,1,1] [1,3,5,2,4,6,7]=>[3,4] [1,3,5,2,4,7,6]=>[3,3,1] [1,3,5,2,6,4,7]=>[3,2,2] [1,3,5,2,6,7,4]=>[3,3,1] [1,3,5,2,7,4,6]=>[3,2,2] [1,3,5,2,7,6,4]=>[3,2,1,1] [1,3,5,4,2,6,7]=>[3,1,3] [1,3,5,4,2,7,6]=>[3,1,2,1] [1,3,5,4,6,2,7]=>[3,2,2] [1,3,5,4,6,7,2]=>[3,3,1] [1,3,5,4,7,2,6]=>[3,2,2] [1,3,5,4,7,6,2]=>[3,2,1,1] [1,3,5,6,2,4,7]=>[4,3] [1,3,5,6,2,7,4]=>[4,2,1] [1,3,5,6,4,2,7]=>[4,1,2] [1,3,5,6,4,7,2]=>[4,2,1] [1,3,5,6,7,2,4]=>[5,2] [1,3,5,6,7,4,2]=>[5,1,1] [1,3,5,7,2,4,6]=>[4,3] [1,3,5,7,2,6,4]=>[4,2,1] [1,3,5,7,4,2,6]=>[4,1,2] [1,3,5,7,4,6,2]=>[4,2,1] [1,3,5,7,6,2,4]=>[4,1,2] [1,3,5,7,6,4,2]=>[4,1,1,1] [1,3,6,2,4,5,7]=>[3,4] [1,3,6,2,4,7,5]=>[3,3,1] [1,3,6,2,5,4,7]=>[3,2,2] [1,3,6,2,5,7,4]=>[3,3,1] [1,3,6,2,7,4,5]=>[3,2,2] [1,3,6,2,7,5,4]=>[3,2,1,1] [1,3,6,4,2,5,7]=>[3,1,3] [1,3,6,4,2,7,5]=>[3,1,2,1] [1,3,6,4,5,2,7]=>[3,2,2] [1,3,6,4,5,7,2]=>[3,3,1] [1,3,6,4,7,2,5]=>[3,2,2] [1,3,6,4,7,5,2]=>[3,2,1,1] [1,3,6,5,2,4,7]=>[3,1,3] [1,3,6,5,2,7,4]=>[3,1,2,1] [1,3,6,5,4,2,7]=>[3,1,1,2] [1,3,6,5,4,7,2]=>[3,1,2,1] [1,3,6,5,7,2,4]=>[3,2,2] [1,3,6,5,7,4,2]=>[3,2,1,1] [1,3,6,7,2,4,5]=>[4,3] [1,3,6,7,2,5,4]=>[4,2,1] [1,3,6,7,4,2,5]=>[4,1,2] [1,3,6,7,4,5,2]=>[4,2,1] [1,3,6,7,5,2,4]=>[4,1,2] [1,3,6,7,5,4,2]=>[4,1,1,1] [1,3,7,2,4,5,6]=>[3,4] [1,3,7,2,4,6,5]=>[3,3,1] [1,3,7,2,5,4,6]=>[3,2,2] [1,3,7,2,5,6,4]=>[3,3,1] [1,3,7,2,6,4,5]=>[3,2,2] [1,3,7,2,6,5,4]=>[3,2,1,1] [1,3,7,4,2,5,6]=>[3,1,3] [1,3,7,4,2,6,5]=>[3,1,2,1] [1,3,7,4,5,2,6]=>[3,2,2] [1,3,7,4,5,6,2]=>[3,3,1] [1,3,7,4,6,2,5]=>[3,2,2] [1,3,7,4,6,5,2]=>[3,2,1,1] [1,3,7,5,2,4,6]=>[3,1,3] [1,3,7,5,2,6,4]=>[3,1,2,1] [1,3,7,5,4,2,6]=>[3,1,1,2] [1,3,7,5,4,6,2]=>[3,1,2,1] [1,3,7,5,6,2,4]=>[3,2,2] [1,3,7,5,6,4,2]=>[3,2,1,1] [1,3,7,6,2,4,5]=>[3,1,3] [1,3,7,6,2,5,4]=>[3,1,2,1] [1,3,7,6,4,2,5]=>[3,1,1,2] [1,3,7,6,4,5,2]=>[3,1,2,1] [1,3,7,6,5,2,4]=>[3,1,1,2] [1,3,7,6,5,4,2]=>[3,1,1,1,1] [1,4,2,3,5,6,7]=>[2,5] [1,4,2,3,5,7,6]=>[2,4,1] [1,4,2,3,6,5,7]=>[2,3,2] [1,4,2,3,6,7,5]=>[2,4,1] [1,4,2,3,7,5,6]=>[2,3,2] [1,4,2,3,7,6,5]=>[2,3,1,1] [1,4,2,5,3,6,7]=>[2,2,3] [1,4,2,5,3,7,6]=>[2,2,2,1] [1,4,2,5,6,3,7]=>[2,3,2] [1,4,2,5,6,7,3]=>[2,4,1] [1,4,2,5,7,3,6]=>[2,3,2] [1,4,2,5,7,6,3]=>[2,3,1,1] [1,4,2,6,3,5,7]=>[2,2,3] [1,4,2,6,3,7,5]=>[2,2,2,1] [1,4,2,6,5,3,7]=>[2,2,1,2] [1,4,2,6,5,7,3]=>[2,2,2,1] [1,4,2,6,7,3,5]=>[2,3,2] [1,4,2,6,7,5,3]=>[2,3,1,1] [1,4,2,7,3,5,6]=>[2,2,3] [1,4,2,7,3,6,5]=>[2,2,2,1] [1,4,2,7,5,3,6]=>[2,2,1,2] [1,4,2,7,5,6,3]=>[2,2,2,1] [1,4,2,7,6,3,5]=>[2,2,1,2] [1,4,2,7,6,5,3]=>[2,2,1,1,1] [1,4,3,2,5,6,7]=>[2,1,4] [1,4,3,2,5,7,6]=>[2,1,3,1] [1,4,3,2,6,5,7]=>[2,1,2,2] [1,4,3,2,6,7,5]=>[2,1,3,1] [1,4,3,2,7,5,6]=>[2,1,2,2] [1,4,3,2,7,6,5]=>[2,1,2,1,1] [1,4,3,5,2,6,7]=>[2,2,3] [1,4,3,5,2,7,6]=>[2,2,2,1] [1,4,3,5,6,2,7]=>[2,3,2] [1,4,3,5,6,7,2]=>[2,4,1] [1,4,3,5,7,2,6]=>[2,3,2] [1,4,3,5,7,6,2]=>[2,3,1,1] [1,4,3,6,2,5,7]=>[2,2,3] [1,4,3,6,2,7,5]=>[2,2,2,1] [1,4,3,6,5,2,7]=>[2,2,1,2] [1,4,3,6,5,7,2]=>[2,2,2,1] [1,4,3,6,7,2,5]=>[2,3,2] [1,4,3,6,7,5,2]=>[2,3,1,1] [1,4,3,7,2,5,6]=>[2,2,3] [1,4,3,7,2,6,5]=>[2,2,2,1] [1,4,3,7,5,2,6]=>[2,2,1,2] [1,4,3,7,5,6,2]=>[2,2,2,1] [1,4,3,7,6,2,5]=>[2,2,1,2] [1,4,3,7,6,5,2]=>[2,2,1,1,1] [1,4,5,2,3,6,7]=>[3,4] [1,4,5,2,3,7,6]=>[3,3,1] [1,4,5,2,6,3,7]=>[3,2,2] [1,4,5,2,6,7,3]=>[3,3,1] [1,4,5,2,7,3,6]=>[3,2,2] [1,4,5,2,7,6,3]=>[3,2,1,1] [1,4,5,3,2,6,7]=>[3,1,3] [1,4,5,3,2,7,6]=>[3,1,2,1] [1,4,5,3,6,2,7]=>[3,2,2] [1,4,5,3,6,7,2]=>[3,3,1] [1,4,5,3,7,2,6]=>[3,2,2] [1,4,5,3,7,6,2]=>[3,2,1,1] [1,4,5,6,2,3,7]=>[4,3] [1,4,5,6,2,7,3]=>[4,2,1] [1,4,5,6,3,2,7]=>[4,1,2] [1,4,5,6,3,7,2]=>[4,2,1] [1,4,5,6,7,2,3]=>[5,2] [1,4,5,6,7,3,2]=>[5,1,1] [1,4,5,7,2,3,6]=>[4,3] [1,4,5,7,2,6,3]=>[4,2,1] [1,4,5,7,3,2,6]=>[4,1,2] [1,4,5,7,3,6,2]=>[4,2,1] [1,4,5,7,6,2,3]=>[4,1,2] [1,4,5,7,6,3,2]=>[4,1,1,1] [1,4,6,2,3,5,7]=>[3,4] [1,4,6,2,3,7,5]=>[3,3,1] [1,4,6,2,5,3,7]=>[3,2,2] [1,4,6,2,5,7,3]=>[3,3,1] [1,4,6,2,7,3,5]=>[3,2,2] [1,4,6,2,7,5,3]=>[3,2,1,1] [1,4,6,3,2,5,7]=>[3,1,3] [1,4,6,3,2,7,5]=>[3,1,2,1] [1,4,6,3,5,2,7]=>[3,2,2] [1,4,6,3,5,7,2]=>[3,3,1] [1,4,6,3,7,2,5]=>[3,2,2] [1,4,6,3,7,5,2]=>[3,2,1,1] [1,4,6,5,2,3,7]=>[3,1,3] [1,4,6,5,2,7,3]=>[3,1,2,1] [1,4,6,5,3,2,7]=>[3,1,1,2] [1,4,6,5,3,7,2]=>[3,1,2,1] [1,4,6,5,7,2,3]=>[3,2,2] [1,4,6,5,7,3,2]=>[3,2,1,1] [1,4,6,7,2,3,5]=>[4,3] [1,4,6,7,2,5,3]=>[4,2,1] [1,4,6,7,3,2,5]=>[4,1,2] [1,4,6,7,3,5,2]=>[4,2,1] [1,4,6,7,5,2,3]=>[4,1,2] [1,4,6,7,5,3,2]=>[4,1,1,1] [1,4,7,2,3,5,6]=>[3,4] [1,4,7,2,3,6,5]=>[3,3,1] [1,4,7,2,5,3,6]=>[3,2,2] [1,4,7,2,5,6,3]=>[3,3,1] [1,4,7,2,6,3,5]=>[3,2,2] [1,4,7,2,6,5,3]=>[3,2,1,1] [1,4,7,3,2,5,6]=>[3,1,3] [1,4,7,3,2,6,5]=>[3,1,2,1] [1,4,7,3,5,2,6]=>[3,2,2] [1,4,7,3,5,6,2]=>[3,3,1] [1,4,7,3,6,2,5]=>[3,2,2] [1,4,7,3,6,5,2]=>[3,2,1,1] [1,4,7,5,2,3,6]=>[3,1,3] [1,4,7,5,2,6,3]=>[3,1,2,1] [1,4,7,5,3,2,6]=>[3,1,1,2] [1,4,7,5,3,6,2]=>[3,1,2,1] [1,4,7,5,6,2,3]=>[3,2,2] [1,4,7,5,6,3,2]=>[3,2,1,1] [1,4,7,6,2,3,5]=>[3,1,3] [1,4,7,6,2,5,3]=>[3,1,2,1] [1,4,7,6,3,2,5]=>[3,1,1,2] [1,4,7,6,3,5,2]=>[3,1,2,1] [1,4,7,6,5,2,3]=>[3,1,1,2] [1,4,7,6,5,3,2]=>[3,1,1,1,1] [1,5,2,3,4,6,7]=>[2,5] [1,5,2,3,4,7,6]=>[2,4,1] [1,5,2,3,6,4,7]=>[2,3,2] [1,5,2,3,6,7,4]=>[2,4,1] [1,5,2,3,7,4,6]=>[2,3,2] [1,5,2,3,7,6,4]=>[2,3,1,1] [1,5,2,4,3,6,7]=>[2,2,3] [1,5,2,4,3,7,6]=>[2,2,2,1] [1,5,2,4,6,3,7]=>[2,3,2] [1,5,2,4,6,7,3]=>[2,4,1] [1,5,2,4,7,3,6]=>[2,3,2] [1,5,2,4,7,6,3]=>[2,3,1,1] [1,5,2,6,3,4,7]=>[2,2,3] [1,5,2,6,3,7,4]=>[2,2,2,1] [1,5,2,6,4,3,7]=>[2,2,1,2] [1,5,2,6,4,7,3]=>[2,2,2,1] [1,5,2,6,7,3,4]=>[2,3,2] [1,5,2,6,7,4,3]=>[2,3,1,1] [1,5,2,7,3,4,6]=>[2,2,3] [1,5,2,7,3,6,4]=>[2,2,2,1] [1,5,2,7,4,3,6]=>[2,2,1,2] [1,5,2,7,4,6,3]=>[2,2,2,1] [1,5,2,7,6,3,4]=>[2,2,1,2] [1,5,2,7,6,4,3]=>[2,2,1,1,1] [1,5,3,2,4,6,7]=>[2,1,4] [1,5,3,2,4,7,6]=>[2,1,3,1] [1,5,3,2,6,4,7]=>[2,1,2,2] [1,5,3,2,6,7,4]=>[2,1,3,1] [1,5,3,2,7,4,6]=>[2,1,2,2] [1,5,3,2,7,6,4]=>[2,1,2,1,1] [1,5,3,4,2,6,7]=>[2,2,3] [1,5,3,4,2,7,6]=>[2,2,2,1] [1,5,3,4,6,2,7]=>[2,3,2] [1,5,3,4,6,7,2]=>[2,4,1] [1,5,3,4,7,2,6]=>[2,3,2] [1,5,3,4,7,6,2]=>[2,3,1,1] [1,5,3,6,2,4,7]=>[2,2,3] [1,5,3,6,2,7,4]=>[2,2,2,1] [1,5,3,6,4,2,7]=>[2,2,1,2] [1,5,3,6,4,7,2]=>[2,2,2,1] [1,5,3,6,7,2,4]=>[2,3,2] [1,5,3,6,7,4,2]=>[2,3,1,1] [1,5,3,7,2,4,6]=>[2,2,3] [1,5,3,7,2,6,4]=>[2,2,2,1] [1,5,3,7,4,2,6]=>[2,2,1,2] [1,5,3,7,4,6,2]=>[2,2,2,1] [1,5,3,7,6,2,4]=>[2,2,1,2] [1,5,3,7,6,4,2]=>[2,2,1,1,1] [1,5,4,2,3,6,7]=>[2,1,4] [1,5,4,2,3,7,6]=>[2,1,3,1] [1,5,4,2,6,3,7]=>[2,1,2,2] [1,5,4,2,6,7,3]=>[2,1,3,1] [1,5,4,2,7,3,6]=>[2,1,2,2] [1,5,4,2,7,6,3]=>[2,1,2,1,1] [1,5,4,3,2,6,7]=>[2,1,1,3] [1,5,4,3,2,7,6]=>[2,1,1,2,1] [1,5,4,3,6,2,7]=>[2,1,2,2] [1,5,4,3,6,7,2]=>[2,1,3,1] [1,5,4,3,7,2,6]=>[2,1,2,2] [1,5,4,3,7,6,2]=>[2,1,2,1,1] [1,5,4,6,2,3,7]=>[2,2,3] [1,5,4,6,2,7,3]=>[2,2,2,1] [1,5,4,6,3,2,7]=>[2,2,1,2] [1,5,4,6,3,7,2]=>[2,2,2,1] [1,5,4,6,7,2,3]=>[2,3,2] [1,5,4,6,7,3,2]=>[2,3,1,1] [1,5,4,7,2,3,6]=>[2,2,3] [1,5,4,7,2,6,3]=>[2,2,2,1] [1,5,4,7,3,2,6]=>[2,2,1,2] [1,5,4,7,3,6,2]=>[2,2,2,1] [1,5,4,7,6,2,3]=>[2,2,1,2] [1,5,4,7,6,3,2]=>[2,2,1,1,1] [1,5,6,2,3,4,7]=>[3,4] [1,5,6,2,3,7,4]=>[3,3,1] [1,5,6,2,4,3,7]=>[3,2,2] [1,5,6,2,4,7,3]=>[3,3,1] [1,5,6,2,7,3,4]=>[3,2,2] [1,5,6,2,7,4,3]=>[3,2,1,1] [1,5,6,3,2,4,7]=>[3,1,3] [1,5,6,3,2,7,4]=>[3,1,2,1] [1,5,6,3,4,2,7]=>[3,2,2] [1,5,6,3,4,7,2]=>[3,3,1] [1,5,6,3,7,2,4]=>[3,2,2] [1,5,6,3,7,4,2]=>[3,2,1,1] [1,5,6,4,2,3,7]=>[3,1,3] [1,5,6,4,2,7,3]=>[3,1,2,1] [1,5,6,4,3,2,7]=>[3,1,1,2] [1,5,6,4,3,7,2]=>[3,1,2,1] [1,5,6,4,7,2,3]=>[3,2,2] [1,5,6,4,7,3,2]=>[3,2,1,1] [1,5,6,7,2,3,4]=>[4,3] [1,5,6,7,2,4,3]=>[4,2,1] [1,5,6,7,3,2,4]=>[4,1,2] [1,5,6,7,3,4,2]=>[4,2,1] [1,5,6,7,4,2,3]=>[4,1,2] [1,5,6,7,4,3,2]=>[4,1,1,1] [1,5,7,2,3,4,6]=>[3,4] [1,5,7,2,3,6,4]=>[3,3,1] [1,5,7,2,4,3,6]=>[3,2,2] [1,5,7,2,4,6,3]=>[3,3,1] [1,5,7,2,6,3,4]=>[3,2,2] [1,5,7,2,6,4,3]=>[3,2,1,1] [1,5,7,3,2,4,6]=>[3,1,3] [1,5,7,3,2,6,4]=>[3,1,2,1] [1,5,7,3,4,2,6]=>[3,2,2] [1,5,7,3,4,6,2]=>[3,3,1] [1,5,7,3,6,2,4]=>[3,2,2] [1,5,7,3,6,4,2]=>[3,2,1,1] [1,5,7,4,2,3,6]=>[3,1,3] [1,5,7,4,2,6,3]=>[3,1,2,1] [1,5,7,4,3,2,6]=>[3,1,1,2] [1,5,7,4,3,6,2]=>[3,1,2,1] [1,5,7,4,6,2,3]=>[3,2,2] [1,5,7,4,6,3,2]=>[3,2,1,1] [1,5,7,6,2,3,4]=>[3,1,3] [1,5,7,6,2,4,3]=>[3,1,2,1] [1,5,7,6,3,2,4]=>[3,1,1,2] [1,5,7,6,3,4,2]=>[3,1,2,1] [1,5,7,6,4,2,3]=>[3,1,1,2] [1,5,7,6,4,3,2]=>[3,1,1,1,1] [1,6,2,3,4,5,7]=>[2,5] [1,6,2,3,4,7,5]=>[2,4,1] [1,6,2,3,5,4,7]=>[2,3,2] [1,6,2,3,5,7,4]=>[2,4,1] [1,6,2,3,7,4,5]=>[2,3,2] [1,6,2,3,7,5,4]=>[2,3,1,1] [1,6,2,4,3,5,7]=>[2,2,3] [1,6,2,4,3,7,5]=>[2,2,2,1] [1,6,2,4,5,3,7]=>[2,3,2] [1,6,2,4,5,7,3]=>[2,4,1] [1,6,2,4,7,3,5]=>[2,3,2] [1,6,2,4,7,5,3]=>[2,3,1,1] [1,6,2,5,3,4,7]=>[2,2,3] [1,6,2,5,3,7,4]=>[2,2,2,1] [1,6,2,5,4,3,7]=>[2,2,1,2] [1,6,2,5,4,7,3]=>[2,2,2,1] [1,6,2,5,7,3,4]=>[2,3,2] [1,6,2,5,7,4,3]=>[2,3,1,1] [1,6,2,7,3,4,5]=>[2,2,3] [1,6,2,7,3,5,4]=>[2,2,2,1] [1,6,2,7,4,3,5]=>[2,2,1,2] [1,6,2,7,4,5,3]=>[2,2,2,1] [1,6,2,7,5,3,4]=>[2,2,1,2] [1,6,2,7,5,4,3]=>[2,2,1,1,1] [1,6,3,2,4,5,7]=>[2,1,4] [1,6,3,2,4,7,5]=>[2,1,3,1] [1,6,3,2,5,4,7]=>[2,1,2,2] [1,6,3,2,5,7,4]=>[2,1,3,1] [1,6,3,2,7,4,5]=>[2,1,2,2] [1,6,3,2,7,5,4]=>[2,1,2,1,1] [1,6,3,4,2,5,7]=>[2,2,3] [1,6,3,4,2,7,5]=>[2,2,2,1] [1,6,3,4,5,2,7]=>[2,3,2] [1,6,3,4,5,7,2]=>[2,4,1] [1,6,3,4,7,2,5]=>[2,3,2] [1,6,3,4,7,5,2]=>[2,3,1,1] [1,6,3,5,2,4,7]=>[2,2,3] [1,6,3,5,2,7,4]=>[2,2,2,1] [1,6,3,5,4,2,7]=>[2,2,1,2] [1,6,3,5,4,7,2]=>[2,2,2,1] [1,6,3,5,7,2,4]=>[2,3,2] [1,6,3,5,7,4,2]=>[2,3,1,1] [1,6,3,7,2,4,5]=>[2,2,3] [1,6,3,7,2,5,4]=>[2,2,2,1] [1,6,3,7,4,2,5]=>[2,2,1,2] [1,6,3,7,4,5,2]=>[2,2,2,1] [1,6,3,7,5,2,4]=>[2,2,1,2] [1,6,3,7,5,4,2]=>[2,2,1,1,1] [1,6,4,2,3,5,7]=>[2,1,4] [1,6,4,2,3,7,5]=>[2,1,3,1] [1,6,4,2,5,3,7]=>[2,1,2,2] [1,6,4,2,5,7,3]=>[2,1,3,1] [1,6,4,2,7,3,5]=>[2,1,2,2] [1,6,4,2,7,5,3]=>[2,1,2,1,1] [1,6,4,3,2,5,7]=>[2,1,1,3] [1,6,4,3,2,7,5]=>[2,1,1,2,1] [1,6,4,3,5,2,7]=>[2,1,2,2] [1,6,4,3,5,7,2]=>[2,1,3,1] [1,6,4,3,7,2,5]=>[2,1,2,2] [1,6,4,3,7,5,2]=>[2,1,2,1,1] [1,6,4,5,2,3,7]=>[2,2,3] [1,6,4,5,2,7,3]=>[2,2,2,1] [1,6,4,5,3,2,7]=>[2,2,1,2] [1,6,4,5,3,7,2]=>[2,2,2,1] [1,6,4,5,7,2,3]=>[2,3,2] [1,6,4,5,7,3,2]=>[2,3,1,1] [1,6,4,7,2,3,5]=>[2,2,3] [1,6,4,7,2,5,3]=>[2,2,2,1] [1,6,4,7,3,2,5]=>[2,2,1,2] [1,6,4,7,3,5,2]=>[2,2,2,1] [1,6,4,7,5,2,3]=>[2,2,1,2] [1,6,4,7,5,3,2]=>[2,2,1,1,1] [1,6,5,2,3,4,7]=>[2,1,4] [1,6,5,2,3,7,4]=>[2,1,3,1] [1,6,5,2,4,3,7]=>[2,1,2,2] [1,6,5,2,4,7,3]=>[2,1,3,1] [1,6,5,2,7,3,4]=>[2,1,2,2] [1,6,5,2,7,4,3]=>[2,1,2,1,1] [1,6,5,3,2,4,7]=>[2,1,1,3] [1,6,5,3,2,7,4]=>[2,1,1,2,1] [1,6,5,3,4,2,7]=>[2,1,2,2] [1,6,5,3,4,7,2]=>[2,1,3,1] [1,6,5,3,7,2,4]=>[2,1,2,2] [1,6,5,3,7,4,2]=>[2,1,2,1,1] [1,6,5,4,2,3,7]=>[2,1,1,3] [1,6,5,4,2,7,3]=>[2,1,1,2,1] [1,6,5,4,3,2,7]=>[2,1,1,1,2] [1,6,5,4,3,7,2]=>[2,1,1,2,1] [1,6,5,4,7,2,3]=>[2,1,2,2] [1,6,5,4,7,3,2]=>[2,1,2,1,1] [1,6,5,7,2,3,4]=>[2,2,3] [1,6,5,7,2,4,3]=>[2,2,2,1] [1,6,5,7,3,2,4]=>[2,2,1,2] [1,6,5,7,3,4,2]=>[2,2,2,1] [1,6,5,7,4,2,3]=>[2,2,1,2] [1,6,5,7,4,3,2]=>[2,2,1,1,1] [1,6,7,2,3,4,5]=>[3,4] [1,6,7,2,3,5,4]=>[3,3,1] [1,6,7,2,4,3,5]=>[3,2,2] [1,6,7,2,4,5,3]=>[3,3,1] [1,6,7,2,5,3,4]=>[3,2,2] [1,6,7,2,5,4,3]=>[3,2,1,1] [1,6,7,3,2,4,5]=>[3,1,3] [1,6,7,3,2,5,4]=>[3,1,2,1] [1,6,7,3,4,2,5]=>[3,2,2] [1,6,7,3,4,5,2]=>[3,3,1] [1,6,7,3,5,2,4]=>[3,2,2] [1,6,7,3,5,4,2]=>[3,2,1,1] [1,6,7,4,2,3,5]=>[3,1,3] [1,6,7,4,2,5,3]=>[3,1,2,1] [1,6,7,4,3,2,5]=>[3,1,1,2] [1,6,7,4,3,5,2]=>[3,1,2,1] [1,6,7,4,5,2,3]=>[3,2,2] [1,6,7,4,5,3,2]=>[3,2,1,1] [1,6,7,5,2,3,4]=>[3,1,3] [1,6,7,5,2,4,3]=>[3,1,2,1] [1,6,7,5,3,2,4]=>[3,1,1,2] [1,6,7,5,3,4,2]=>[3,1,2,1] [1,6,7,5,4,2,3]=>[3,1,1,2] [1,6,7,5,4,3,2]=>[3,1,1,1,1] [1,7,2,3,4,5,6]=>[2,5] [1,7,2,3,4,6,5]=>[2,4,1] [1,7,2,3,5,4,6]=>[2,3,2] [1,7,2,3,5,6,4]=>[2,4,1] [1,7,2,3,6,4,5]=>[2,3,2] [1,7,2,3,6,5,4]=>[2,3,1,1] [1,7,2,4,3,5,6]=>[2,2,3] [1,7,2,4,3,6,5]=>[2,2,2,1] [1,7,2,4,5,3,6]=>[2,3,2] [1,7,2,4,5,6,3]=>[2,4,1] [1,7,2,4,6,3,5]=>[2,3,2] [1,7,2,4,6,5,3]=>[2,3,1,1] [1,7,2,5,3,4,6]=>[2,2,3] [1,7,2,5,3,6,4]=>[2,2,2,1] [1,7,2,5,4,3,6]=>[2,2,1,2] [1,7,2,5,4,6,3]=>[2,2,2,1] [1,7,2,5,6,3,4]=>[2,3,2] [1,7,2,5,6,4,3]=>[2,3,1,1] [1,7,2,6,3,4,5]=>[2,2,3] [1,7,2,6,3,5,4]=>[2,2,2,1] [1,7,2,6,4,3,5]=>[2,2,1,2] [1,7,2,6,4,5,3]=>[2,2,2,1] [1,7,2,6,5,3,4]=>[2,2,1,2] [1,7,2,6,5,4,3]=>[2,2,1,1,1] [1,7,3,2,4,5,6]=>[2,1,4] [1,7,3,2,4,6,5]=>[2,1,3,1] [1,7,3,2,5,4,6]=>[2,1,2,2] [1,7,3,2,5,6,4]=>[2,1,3,1] [1,7,3,2,6,4,5]=>[2,1,2,2] [1,7,3,2,6,5,4]=>[2,1,2,1,1] [1,7,3,4,2,5,6]=>[2,2,3] [1,7,3,4,2,6,5]=>[2,2,2,1] [1,7,3,4,5,2,6]=>[2,3,2] [1,7,3,4,5,6,2]=>[2,4,1] [1,7,3,4,6,2,5]=>[2,3,2] [1,7,3,4,6,5,2]=>[2,3,1,1] [1,7,3,5,2,4,6]=>[2,2,3] [1,7,3,5,2,6,4]=>[2,2,2,1] [1,7,3,5,4,2,6]=>[2,2,1,2] [1,7,3,5,4,6,2]=>[2,2,2,1] [1,7,3,5,6,2,4]=>[2,3,2] [1,7,3,5,6,4,2]=>[2,3,1,1] [1,7,3,6,2,4,5]=>[2,2,3] [1,7,3,6,2,5,4]=>[2,2,2,1] [1,7,3,6,4,2,5]=>[2,2,1,2] [1,7,3,6,4,5,2]=>[2,2,2,1] [1,7,3,6,5,2,4]=>[2,2,1,2] [1,7,3,6,5,4,2]=>[2,2,1,1,1] [1,7,4,2,3,5,6]=>[2,1,4] [1,7,4,2,3,6,5]=>[2,1,3,1] [1,7,4,2,5,3,6]=>[2,1,2,2] [1,7,4,2,5,6,3]=>[2,1,3,1] [1,7,4,2,6,3,5]=>[2,1,2,2] [1,7,4,2,6,5,3]=>[2,1,2,1,1] [1,7,4,3,2,5,6]=>[2,1,1,3] [1,7,4,3,2,6,5]=>[2,1,1,2,1] [1,7,4,3,5,2,6]=>[2,1,2,2] [1,7,4,3,5,6,2]=>[2,1,3,1] [1,7,4,3,6,2,5]=>[2,1,2,2] [1,7,4,3,6,5,2]=>[2,1,2,1,1] [1,7,4,5,2,3,6]=>[2,2,3] [1,7,4,5,2,6,3]=>[2,2,2,1] [1,7,4,5,3,2,6]=>[2,2,1,2] [1,7,4,5,3,6,2]=>[2,2,2,1] [1,7,4,5,6,2,3]=>[2,3,2] [1,7,4,5,6,3,2]=>[2,3,1,1] [1,7,4,6,2,3,5]=>[2,2,3] [1,7,4,6,2,5,3]=>[2,2,2,1] [1,7,4,6,3,2,5]=>[2,2,1,2] [1,7,4,6,3,5,2]=>[2,2,2,1] [1,7,4,6,5,2,3]=>[2,2,1,2] [1,7,4,6,5,3,2]=>[2,2,1,1,1] [1,7,5,2,3,4,6]=>[2,1,4] [1,7,5,2,3,6,4]=>[2,1,3,1] [1,7,5,2,4,3,6]=>[2,1,2,2] [1,7,5,2,4,6,3]=>[2,1,3,1] [1,7,5,2,6,3,4]=>[2,1,2,2] [1,7,5,2,6,4,3]=>[2,1,2,1,1] [1,7,5,3,2,4,6]=>[2,1,1,3] [1,7,5,3,2,6,4]=>[2,1,1,2,1] [1,7,5,3,4,2,6]=>[2,1,2,2] [1,7,5,3,4,6,2]=>[2,1,3,1] [1,7,5,3,6,2,4]=>[2,1,2,2] [1,7,5,3,6,4,2]=>[2,1,2,1,1] [1,7,5,4,2,3,6]=>[2,1,1,3] [1,7,5,4,2,6,3]=>[2,1,1,2,1] [1,7,5,4,3,2,6]=>[2,1,1,1,2] [1,7,5,4,3,6,2]=>[2,1,1,2,1] [1,7,5,4,6,2,3]=>[2,1,2,2] [1,7,5,4,6,3,2]=>[2,1,2,1,1] [1,7,5,6,2,3,4]=>[2,2,3] [1,7,5,6,2,4,3]=>[2,2,2,1] [1,7,5,6,3,2,4]=>[2,2,1,2] [1,7,5,6,3,4,2]=>[2,2,2,1] [1,7,5,6,4,2,3]=>[2,2,1,2] [1,7,5,6,4,3,2]=>[2,2,1,1,1] [1,7,6,2,3,4,5]=>[2,1,4] [1,7,6,2,3,5,4]=>[2,1,3,1] [1,7,6,2,4,3,5]=>[2,1,2,2] [1,7,6,2,4,5,3]=>[2,1,3,1] [1,7,6,2,5,3,4]=>[2,1,2,2] [1,7,6,2,5,4,3]=>[2,1,2,1,1] [1,7,6,3,2,4,5]=>[2,1,1,3] [1,7,6,3,2,5,4]=>[2,1,1,2,1] [1,7,6,3,4,2,5]=>[2,1,2,2] [1,7,6,3,4,5,2]=>[2,1,3,1] [1,7,6,3,5,2,4]=>[2,1,2,2] [1,7,6,3,5,4,2]=>[2,1,2,1,1] [1,7,6,4,2,3,5]=>[2,1,1,3] [1,7,6,4,2,5,3]=>[2,1,1,2,1] [1,7,6,4,3,2,5]=>[2,1,1,1,2] [1,7,6,4,3,5,2]=>[2,1,1,2,1] [1,7,6,4,5,2,3]=>[2,1,2,2] [1,7,6,4,5,3,2]=>[2,1,2,1,1] [1,7,6,5,2,3,4]=>[2,1,1,3] [1,7,6,5,2,4,3]=>[2,1,1,2,1] [1,7,6,5,3,2,4]=>[2,1,1,1,2] [1,7,6,5,3,4,2]=>[2,1,1,2,1] [1,7,6,5,4,2,3]=>[2,1,1,1,2] [1,7,6,5,4,3,2]=>[2,1,1,1,1,1] [2,1,3,4,5,6,7]=>[1,6] [2,1,3,4,5,7,6]=>[1,5,1] [2,1,3,4,6,5,7]=>[1,4,2] [2,1,3,4,6,7,5]=>[1,5,1] [2,1,3,4,7,5,6]=>[1,4,2] [2,1,3,4,7,6,5]=>[1,4,1,1] [2,1,3,5,4,6,7]=>[1,3,3] [2,1,3,5,4,7,6]=>[1,3,2,1] [2,1,3,5,6,4,7]=>[1,4,2] [2,1,3,5,6,7,4]=>[1,5,1] [2,1,3,5,7,4,6]=>[1,4,2] [2,1,3,5,7,6,4]=>[1,4,1,1] [2,1,3,6,4,5,7]=>[1,3,3] [2,1,3,6,4,7,5]=>[1,3,2,1] [2,1,3,6,5,4,7]=>[1,3,1,2] [2,1,3,6,5,7,4]=>[1,3,2,1] [2,1,3,6,7,4,5]=>[1,4,2] [2,1,3,6,7,5,4]=>[1,4,1,1] [2,1,3,7,4,5,6]=>[1,3,3] [2,1,3,7,4,6,5]=>[1,3,2,1] [2,1,3,7,5,4,6]=>[1,3,1,2] [2,1,3,7,5,6,4]=>[1,3,2,1] [2,1,3,7,6,4,5]=>[1,3,1,2] [2,1,3,7,6,5,4]=>[1,3,1,1,1] [2,1,4,3,5,6,7]=>[1,2,4] [2,1,4,3,5,7,6]=>[1,2,3,1] [2,1,4,3,6,5,7]=>[1,2,2,2] [2,1,4,3,6,7,5]=>[1,2,3,1] [2,1,4,3,7,5,6]=>[1,2,2,2] [2,1,4,3,7,6,5]=>[1,2,2,1,1] [2,1,4,5,3,6,7]=>[1,3,3] [2,1,4,5,3,7,6]=>[1,3,2,1] [2,1,4,5,6,3,7]=>[1,4,2] [2,1,4,5,6,7,3]=>[1,5,1] [2,1,4,5,7,3,6]=>[1,4,2] [2,1,4,5,7,6,3]=>[1,4,1,1] [2,1,4,6,3,5,7]=>[1,3,3] [2,1,4,6,3,7,5]=>[1,3,2,1] [2,1,4,6,5,3,7]=>[1,3,1,2] [2,1,4,6,5,7,3]=>[1,3,2,1] [2,1,4,6,7,3,5]=>[1,4,2] [2,1,4,6,7,5,3]=>[1,4,1,1] [2,1,4,7,3,5,6]=>[1,3,3] [2,1,4,7,3,6,5]=>[1,3,2,1] [2,1,4,7,5,3,6]=>[1,3,1,2] [2,1,4,7,5,6,3]=>[1,3,2,1] [2,1,4,7,6,3,5]=>[1,3,1,2] [2,1,4,7,6,5,3]=>[1,3,1,1,1] [2,1,5,3,4,6,7]=>[1,2,4] [2,1,5,3,4,7,6]=>[1,2,3,1] [2,1,5,3,6,4,7]=>[1,2,2,2] [2,1,5,3,6,7,4]=>[1,2,3,1] [2,1,5,3,7,4,6]=>[1,2,2,2] [2,1,5,3,7,6,4]=>[1,2,2,1,1] [2,1,5,4,3,6,7]=>[1,2,1,3] [2,1,5,4,3,7,6]=>[1,2,1,2,1] [2,1,5,4,6,3,7]=>[1,2,2,2] [2,1,5,4,6,7,3]=>[1,2,3,1] [2,1,5,4,7,3,6]=>[1,2,2,2] [2,1,5,4,7,6,3]=>[1,2,2,1,1] [2,1,5,6,3,4,7]=>[1,3,3] [2,1,5,6,3,7,4]=>[1,3,2,1] [2,1,5,6,4,3,7]=>[1,3,1,2] [2,1,5,6,4,7,3]=>[1,3,2,1] [2,1,5,6,7,3,4]=>[1,4,2] [2,1,5,6,7,4,3]=>[1,4,1,1] [2,1,5,7,3,4,6]=>[1,3,3] [2,1,5,7,3,6,4]=>[1,3,2,1] [2,1,5,7,4,3,6]=>[1,3,1,2] [2,1,5,7,4,6,3]=>[1,3,2,1] [2,1,5,7,6,3,4]=>[1,3,1,2] [2,1,5,7,6,4,3]=>[1,3,1,1,1] [2,1,6,3,4,5,7]=>[1,2,4] [2,1,6,3,4,7,5]=>[1,2,3,1] [2,1,6,3,5,4,7]=>[1,2,2,2] [2,1,6,3,5,7,4]=>[1,2,3,1] [2,1,6,3,7,4,5]=>[1,2,2,2] [2,1,6,3,7,5,4]=>[1,2,2,1,1] [2,1,6,4,3,5,7]=>[1,2,1,3] [2,1,6,4,3,7,5]=>[1,2,1,2,1] [2,1,6,4,5,3,7]=>[1,2,2,2] [2,1,6,4,5,7,3]=>[1,2,3,1] [2,1,6,4,7,3,5]=>[1,2,2,2] [2,1,6,4,7,5,3]=>[1,2,2,1,1] [2,1,6,5,3,4,7]=>[1,2,1,3] [2,1,6,5,3,7,4]=>[1,2,1,2,1] [2,1,6,5,4,3,7]=>[1,2,1,1,2] [2,1,6,5,4,7,3]=>[1,2,1,2,1] [2,1,6,5,7,3,4]=>[1,2,2,2] [2,1,6,5,7,4,3]=>[1,2,2,1,1] [2,1,6,7,3,4,5]=>[1,3,3] [2,1,6,7,3,5,4]=>[1,3,2,1] [2,1,6,7,4,3,5]=>[1,3,1,2] [2,1,6,7,4,5,3]=>[1,3,2,1] [2,1,6,7,5,3,4]=>[1,3,1,2] [2,1,6,7,5,4,3]=>[1,3,1,1,1] [2,1,7,3,4,5,6]=>[1,2,4] [2,1,7,3,4,6,5]=>[1,2,3,1] [2,1,7,3,5,4,6]=>[1,2,2,2] [2,1,7,3,5,6,4]=>[1,2,3,1] [2,1,7,3,6,4,5]=>[1,2,2,2] [2,1,7,3,6,5,4]=>[1,2,2,1,1] [2,1,7,4,3,5,6]=>[1,2,1,3] [2,1,7,4,3,6,5]=>[1,2,1,2,1] [2,1,7,4,5,3,6]=>[1,2,2,2] [2,1,7,4,5,6,3]=>[1,2,3,1] [2,1,7,4,6,3,5]=>[1,2,2,2] [2,1,7,4,6,5,3]=>[1,2,2,1,1] [2,1,7,5,3,4,6]=>[1,2,1,3] [2,1,7,5,3,6,4]=>[1,2,1,2,1] [2,1,7,5,4,3,6]=>[1,2,1,1,2] [2,1,7,5,4,6,3]=>[1,2,1,2,1] [2,1,7,5,6,3,4]=>[1,2,2,2] [2,1,7,5,6,4,3]=>[1,2,2,1,1] [2,1,7,6,3,4,5]=>[1,2,1,3] [2,1,7,6,3,5,4]=>[1,2,1,2,1] [2,1,7,6,4,3,5]=>[1,2,1,1,2] [2,1,7,6,4,5,3]=>[1,2,1,2,1] [2,1,7,6,5,3,4]=>[1,2,1,1,2] [2,1,7,6,5,4,3]=>[1,2,1,1,1,1] [2,3,1,4,5,6,7]=>[2,5] [2,3,1,4,5,7,6]=>[2,4,1] [2,3,1,4,6,5,7]=>[2,3,2] [2,3,1,4,6,7,5]=>[2,4,1] [2,3,1,4,7,5,6]=>[2,3,2] [2,3,1,4,7,6,5]=>[2,3,1,1] [2,3,1,5,4,6,7]=>[2,2,3] [2,3,1,5,4,7,6]=>[2,2,2,1] [2,3,1,5,6,4,7]=>[2,3,2] [2,3,1,5,6,7,4]=>[2,4,1] [2,3,1,5,7,4,6]=>[2,3,2] [2,3,1,5,7,6,4]=>[2,3,1,1] [2,3,1,6,4,5,7]=>[2,2,3] [2,3,1,6,4,7,5]=>[2,2,2,1] [2,3,1,6,5,4,7]=>[2,2,1,2] [2,3,1,6,5,7,4]=>[2,2,2,1] [2,3,1,6,7,4,5]=>[2,3,2] [2,3,1,6,7,5,4]=>[2,3,1,1] [2,3,1,7,4,5,6]=>[2,2,3] [2,3,1,7,4,6,5]=>[2,2,2,1] [2,3,1,7,5,4,6]=>[2,2,1,2] [2,3,1,7,5,6,4]=>[2,2,2,1] [2,3,1,7,6,4,5]=>[2,2,1,2] [2,3,1,7,6,5,4]=>[2,2,1,1,1] [2,3,4,1,5,6,7]=>[3,4] [2,3,4,1,5,7,6]=>[3,3,1] [2,3,4,1,6,5,7]=>[3,2,2] [2,3,4,1,6,7,5]=>[3,3,1] [2,3,4,1,7,5,6]=>[3,2,2] [2,3,4,1,7,6,5]=>[3,2,1,1] [2,3,4,5,1,6,7]=>[4,3] [2,3,4,5,1,7,6]=>[4,2,1] [2,3,4,5,6,1,7]=>[5,2] [2,3,4,5,6,7,1]=>[6,1] [2,3,4,5,7,1,6]=>[5,2] [2,3,4,5,7,6,1]=>[5,1,1] [2,3,4,6,1,5,7]=>[4,3] [2,3,4,6,1,7,5]=>[4,2,1] [2,3,4,6,5,1,7]=>[4,1,2] [2,3,4,6,5,7,1]=>[4,2,1] [2,3,4,6,7,1,5]=>[5,2] [2,3,4,6,7,5,1]=>[5,1,1] [2,3,4,7,1,5,6]=>[4,3] [2,3,4,7,1,6,5]=>[4,2,1] [2,3,4,7,5,1,6]=>[4,1,2] [2,3,4,7,5,6,1]=>[4,2,1] [2,3,4,7,6,1,5]=>[4,1,2] [2,3,4,7,6,5,1]=>[4,1,1,1] [2,3,5,1,4,6,7]=>[3,4] [2,3,5,1,4,7,6]=>[3,3,1] [2,3,5,1,6,4,7]=>[3,2,2] [2,3,5,1,6,7,4]=>[3,3,1] [2,3,5,1,7,4,6]=>[3,2,2] [2,3,5,1,7,6,4]=>[3,2,1,1] [2,3,5,4,1,6,7]=>[3,1,3] [2,3,5,4,1,7,6]=>[3,1,2,1] [2,3,5,4,6,1,7]=>[3,2,2] [2,3,5,4,6,7,1]=>[3,3,1] [2,3,5,4,7,1,6]=>[3,2,2] [2,3,5,4,7,6,1]=>[3,2,1,1] [2,3,5,6,1,4,7]=>[4,3] [2,3,5,6,1,7,4]=>[4,2,1] [2,3,5,6,4,1,7]=>[4,1,2] [2,3,5,6,4,7,1]=>[4,2,1] [2,3,5,6,7,1,4]=>[5,2] [2,3,5,6,7,4,1]=>[5,1,1] [2,3,5,7,1,4,6]=>[4,3] [2,3,5,7,1,6,4]=>[4,2,1] [2,3,5,7,4,1,6]=>[4,1,2] [2,3,5,7,4,6,1]=>[4,2,1] [2,3,5,7,6,1,4]=>[4,1,2] [2,3,5,7,6,4,1]=>[4,1,1,1] [2,3,6,1,4,5,7]=>[3,4] [2,3,6,1,4,7,5]=>[3,3,1] [2,3,6,1,5,4,7]=>[3,2,2] [2,3,6,1,5,7,4]=>[3,3,1] [2,3,6,1,7,4,5]=>[3,2,2] [2,3,6,1,7,5,4]=>[3,2,1,1] [2,3,6,4,1,5,7]=>[3,1,3] [2,3,6,4,1,7,5]=>[3,1,2,1] [2,3,6,4,5,1,7]=>[3,2,2] [2,3,6,4,5,7,1]=>[3,3,1] [2,3,6,4,7,1,5]=>[3,2,2] [2,3,6,4,7,5,1]=>[3,2,1,1] [2,3,6,5,1,4,7]=>[3,1,3] [2,3,6,5,1,7,4]=>[3,1,2,1] [2,3,6,5,4,1,7]=>[3,1,1,2] [2,3,6,5,4,7,1]=>[3,1,2,1] [2,3,6,5,7,1,4]=>[3,2,2] [2,3,6,5,7,4,1]=>[3,2,1,1] [2,3,6,7,1,4,5]=>[4,3] [2,3,6,7,1,5,4]=>[4,2,1] [2,3,6,7,4,1,5]=>[4,1,2] [2,3,6,7,4,5,1]=>[4,2,1] [2,3,6,7,5,1,4]=>[4,1,2] [2,3,6,7,5,4,1]=>[4,1,1,1] [2,3,7,1,4,5,6]=>[3,4] [2,3,7,1,4,6,5]=>[3,3,1] [2,3,7,1,5,4,6]=>[3,2,2] [2,3,7,1,5,6,4]=>[3,3,1] [2,3,7,1,6,4,5]=>[3,2,2] [2,3,7,1,6,5,4]=>[3,2,1,1] [2,3,7,4,1,5,6]=>[3,1,3] [2,3,7,4,1,6,5]=>[3,1,2,1] [2,3,7,4,5,1,6]=>[3,2,2] [2,3,7,4,5,6,1]=>[3,3,1] [2,3,7,4,6,1,5]=>[3,2,2] [2,3,7,4,6,5,1]=>[3,2,1,1] [2,3,7,5,1,4,6]=>[3,1,3] [2,3,7,5,1,6,4]=>[3,1,2,1] [2,3,7,5,4,1,6]=>[3,1,1,2] [2,3,7,5,4,6,1]=>[3,1,2,1] [2,3,7,5,6,1,4]=>[3,2,2] [2,3,7,5,6,4,1]=>[3,2,1,1] [2,3,7,6,1,4,5]=>[3,1,3] [2,3,7,6,1,5,4]=>[3,1,2,1] [2,3,7,6,4,1,5]=>[3,1,1,2] [2,3,7,6,4,5,1]=>[3,1,2,1] [2,3,7,6,5,1,4]=>[3,1,1,2] [2,3,7,6,5,4,1]=>[3,1,1,1,1] [2,4,1,3,5,6,7]=>[2,5] [2,4,1,3,5,7,6]=>[2,4,1] [2,4,1,3,6,5,7]=>[2,3,2] [2,4,1,3,6,7,5]=>[2,4,1] [2,4,1,3,7,5,6]=>[2,3,2] [2,4,1,3,7,6,5]=>[2,3,1,1] [2,4,1,5,3,6,7]=>[2,2,3] [2,4,1,5,3,7,6]=>[2,2,2,1] [2,4,1,5,6,3,7]=>[2,3,2] [2,4,1,5,6,7,3]=>[2,4,1] [2,4,1,5,7,3,6]=>[2,3,2] [2,4,1,5,7,6,3]=>[2,3,1,1] [2,4,1,6,3,5,7]=>[2,2,3] [2,4,1,6,3,7,5]=>[2,2,2,1] [2,4,1,6,5,3,7]=>[2,2,1,2] [2,4,1,6,5,7,3]=>[2,2,2,1] [2,4,1,6,7,3,5]=>[2,3,2] [2,4,1,6,7,5,3]=>[2,3,1,1] [2,4,1,7,3,5,6]=>[2,2,3] [2,4,1,7,3,6,5]=>[2,2,2,1] [2,4,1,7,5,3,6]=>[2,2,1,2] [2,4,1,7,5,6,3]=>[2,2,2,1] [2,4,1,7,6,3,5]=>[2,2,1,2] [2,4,1,7,6,5,3]=>[2,2,1,1,1] [2,4,3,1,5,6,7]=>[2,1,4] [2,4,3,1,5,7,6]=>[2,1,3,1] [2,4,3,1,6,5,7]=>[2,1,2,2] [2,4,3,1,6,7,5]=>[2,1,3,1] [2,4,3,1,7,5,6]=>[2,1,2,2] [2,4,3,1,7,6,5]=>[2,1,2,1,1] [2,4,3,5,1,6,7]=>[2,2,3] [2,4,3,5,1,7,6]=>[2,2,2,1] [2,4,3,5,6,1,7]=>[2,3,2] [2,4,3,5,6,7,1]=>[2,4,1] [2,4,3,5,7,1,6]=>[2,3,2] [2,4,3,5,7,6,1]=>[2,3,1,1] [2,4,3,6,1,5,7]=>[2,2,3] [2,4,3,6,1,7,5]=>[2,2,2,1] [2,4,3,6,5,1,7]=>[2,2,1,2] [2,4,3,6,5,7,1]=>[2,2,2,1] [2,4,3,6,7,1,5]=>[2,3,2] [2,4,3,6,7,5,1]=>[2,3,1,1] [2,4,3,7,1,5,6]=>[2,2,3] [2,4,3,7,1,6,5]=>[2,2,2,1] [2,4,3,7,5,1,6]=>[2,2,1,2] [2,4,3,7,5,6,1]=>[2,2,2,1] [2,4,3,7,6,1,5]=>[2,2,1,2] [2,4,3,7,6,5,1]=>[2,2,1,1,1] [2,4,5,1,3,6,7]=>[3,4] [2,4,5,1,3,7,6]=>[3,3,1] [2,4,5,1,6,3,7]=>[3,2,2] [2,4,5,1,6,7,3]=>[3,3,1] [2,4,5,1,7,3,6]=>[3,2,2] [2,4,5,1,7,6,3]=>[3,2,1,1] [2,4,5,3,1,6,7]=>[3,1,3] [2,4,5,3,1,7,6]=>[3,1,2,1] [2,4,5,3,6,1,7]=>[3,2,2] [2,4,5,3,6,7,1]=>[3,3,1] [2,4,5,3,7,1,6]=>[3,2,2] [2,4,5,3,7,6,1]=>[3,2,1,1] [2,4,5,6,1,3,7]=>[4,3] [2,4,5,6,1,7,3]=>[4,2,1] [2,4,5,6,3,1,7]=>[4,1,2] [2,4,5,6,3,7,1]=>[4,2,1] [2,4,5,6,7,1,3]=>[5,2] [2,4,5,6,7,3,1]=>[5,1,1] [2,4,5,7,1,3,6]=>[4,3] [2,4,5,7,1,6,3]=>[4,2,1] [2,4,5,7,3,1,6]=>[4,1,2] [2,4,5,7,3,6,1]=>[4,2,1] [2,4,5,7,6,1,3]=>[4,1,2] [2,4,5,7,6,3,1]=>[4,1,1,1] [2,4,6,1,3,5,7]=>[3,4] [2,4,6,1,3,7,5]=>[3,3,1] [2,4,6,1,5,3,7]=>[3,2,2] [2,4,6,1,5,7,3]=>[3,3,1] [2,4,6,1,7,3,5]=>[3,2,2] [2,4,6,1,7,5,3]=>[3,2,1,1] [2,4,6,3,1,5,7]=>[3,1,3] [2,4,6,3,1,7,5]=>[3,1,2,1] [2,4,6,3,5,1,7]=>[3,2,2] [2,4,6,3,5,7,1]=>[3,3,1] [2,4,6,3,7,1,5]=>[3,2,2] [2,4,6,3,7,5,1]=>[3,2,1,1] [2,4,6,5,1,3,7]=>[3,1,3] [2,4,6,5,1,7,3]=>[3,1,2,1] [2,4,6,5,3,1,7]=>[3,1,1,2] [2,4,6,5,3,7,1]=>[3,1,2,1] [2,4,6,5,7,1,3]=>[3,2,2] [2,4,6,5,7,3,1]=>[3,2,1,1] [2,4,6,7,1,3,5]=>[4,3] [2,4,6,7,1,5,3]=>[4,2,1] [2,4,6,7,3,1,5]=>[4,1,2] [2,4,6,7,3,5,1]=>[4,2,1] [2,4,6,7,5,1,3]=>[4,1,2] [2,4,6,7,5,3,1]=>[4,1,1,1] [2,4,7,1,3,5,6]=>[3,4] [2,4,7,1,3,6,5]=>[3,3,1] [2,4,7,1,5,3,6]=>[3,2,2] [2,4,7,1,5,6,3]=>[3,3,1] [2,4,7,1,6,3,5]=>[3,2,2] [2,4,7,1,6,5,3]=>[3,2,1,1] [2,4,7,3,1,5,6]=>[3,1,3] [2,4,7,3,1,6,5]=>[3,1,2,1] [2,4,7,3,5,1,6]=>[3,2,2] [2,4,7,3,5,6,1]=>[3,3,1] [2,4,7,3,6,1,5]=>[3,2,2] [2,4,7,3,6,5,1]=>[3,2,1,1] [2,4,7,5,1,3,6]=>[3,1,3] [2,4,7,5,1,6,3]=>[3,1,2,1] [2,4,7,5,3,1,6]=>[3,1,1,2] [2,4,7,5,3,6,1]=>[3,1,2,1] [2,4,7,5,6,1,3]=>[3,2,2] [2,4,7,5,6,3,1]=>[3,2,1,1] [2,4,7,6,1,3,5]=>[3,1,3] [2,4,7,6,1,5,3]=>[3,1,2,1] [2,4,7,6,3,1,5]=>[3,1,1,2] [2,4,7,6,3,5,1]=>[3,1,2,1] [2,4,7,6,5,1,3]=>[3,1,1,2] [2,4,7,6,5,3,1]=>[3,1,1,1,1] [2,5,1,3,4,6,7]=>[2,5] [2,5,1,3,4,7,6]=>[2,4,1] [2,5,1,3,6,4,7]=>[2,3,2] [2,5,1,3,6,7,4]=>[2,4,1] [2,5,1,3,7,4,6]=>[2,3,2] [2,5,1,3,7,6,4]=>[2,3,1,1] [2,5,1,4,3,6,7]=>[2,2,3] [2,5,1,4,3,7,6]=>[2,2,2,1] [2,5,1,4,6,3,7]=>[2,3,2] [2,5,1,4,6,7,3]=>[2,4,1] [2,5,1,4,7,3,6]=>[2,3,2] [2,5,1,4,7,6,3]=>[2,3,1,1] [2,5,1,6,3,4,7]=>[2,2,3] [2,5,1,6,3,7,4]=>[2,2,2,1] [2,5,1,6,4,3,7]=>[2,2,1,2] [2,5,1,6,4,7,3]=>[2,2,2,1] [2,5,1,6,7,3,4]=>[2,3,2] [2,5,1,6,7,4,3]=>[2,3,1,1] [2,5,1,7,3,4,6]=>[2,2,3] [2,5,1,7,3,6,4]=>[2,2,2,1] [2,5,1,7,4,3,6]=>[2,2,1,2] [2,5,1,7,4,6,3]=>[2,2,2,1] [2,5,1,7,6,3,4]=>[2,2,1,2] [2,5,1,7,6,4,3]=>[2,2,1,1,1] [2,5,3,1,4,6,7]=>[2,1,4] [2,5,3,1,4,7,6]=>[2,1,3,1] [2,5,3,1,6,4,7]=>[2,1,2,2] [2,5,3,1,6,7,4]=>[2,1,3,1] [2,5,3,1,7,4,6]=>[2,1,2,2] [2,5,3,1,7,6,4]=>[2,1,2,1,1] [2,5,3,4,1,6,7]=>[2,2,3] [2,5,3,4,1,7,6]=>[2,2,2,1] [2,5,3,4,6,1,7]=>[2,3,2] [2,5,3,4,6,7,1]=>[2,4,1] [2,5,3,4,7,1,6]=>[2,3,2] [2,5,3,4,7,6,1]=>[2,3,1,1] [2,5,3,6,1,4,7]=>[2,2,3] [2,5,3,6,1,7,4]=>[2,2,2,1] [2,5,3,6,4,1,7]=>[2,2,1,2] [2,5,3,6,4,7,1]=>[2,2,2,1] [2,5,3,6,7,1,4]=>[2,3,2] [2,5,3,6,7,4,1]=>[2,3,1,1] [2,5,3,7,1,4,6]=>[2,2,3] [2,5,3,7,1,6,4]=>[2,2,2,1] [2,5,3,7,4,1,6]=>[2,2,1,2] [2,5,3,7,4,6,1]=>[2,2,2,1] [2,5,3,7,6,1,4]=>[2,2,1,2] [2,5,3,7,6,4,1]=>[2,2,1,1,1] [2,5,4,1,3,6,7]=>[2,1,4] [2,5,4,1,3,7,6]=>[2,1,3,1] [2,5,4,1,6,3,7]=>[2,1,2,2] [2,5,4,1,6,7,3]=>[2,1,3,1] [2,5,4,1,7,3,6]=>[2,1,2,2] [2,5,4,1,7,6,3]=>[2,1,2,1,1] [2,5,4,3,1,6,7]=>[2,1,1,3] [2,5,4,3,1,7,6]=>[2,1,1,2,1] [2,5,4,3,6,1,7]=>[2,1,2,2] [2,5,4,3,6,7,1]=>[2,1,3,1] [2,5,4,3,7,1,6]=>[2,1,2,2] [2,5,4,3,7,6,1]=>[2,1,2,1,1] [2,5,4,6,1,3,7]=>[2,2,3] [2,5,4,6,1,7,3]=>[2,2,2,1] [2,5,4,6,3,1,7]=>[2,2,1,2] [2,5,4,6,3,7,1]=>[2,2,2,1] [2,5,4,6,7,1,3]=>[2,3,2] [2,5,4,6,7,3,1]=>[2,3,1,1] [2,5,4,7,1,3,6]=>[2,2,3] [2,5,4,7,1,6,3]=>[2,2,2,1] [2,5,4,7,3,1,6]=>[2,2,1,2] [2,5,4,7,3,6,1]=>[2,2,2,1] [2,5,4,7,6,1,3]=>[2,2,1,2] [2,5,4,7,6,3,1]=>[2,2,1,1,1] [2,5,6,1,3,4,7]=>[3,4] [2,5,6,1,3,7,4]=>[3,3,1] [2,5,6,1,4,3,7]=>[3,2,2] [2,5,6,1,4,7,3]=>[3,3,1] [2,5,6,1,7,3,4]=>[3,2,2] [2,5,6,1,7,4,3]=>[3,2,1,1] [2,5,6,3,1,4,7]=>[3,1,3] [2,5,6,3,1,7,4]=>[3,1,2,1] [2,5,6,3,4,1,7]=>[3,2,2] [2,5,6,3,4,7,1]=>[3,3,1] [2,5,6,3,7,1,4]=>[3,2,2] [2,5,6,3,7,4,1]=>[3,2,1,1] [2,5,6,4,1,3,7]=>[3,1,3] [2,5,6,4,1,7,3]=>[3,1,2,1] [2,5,6,4,3,1,7]=>[3,1,1,2] [2,5,6,4,3,7,1]=>[3,1,2,1] [2,5,6,4,7,1,3]=>[3,2,2] [2,5,6,4,7,3,1]=>[3,2,1,1] [2,5,6,7,1,3,4]=>[4,3] [2,5,6,7,1,4,3]=>[4,2,1] [2,5,6,7,3,1,4]=>[4,1,2] [2,5,6,7,3,4,1]=>[4,2,1] [2,5,6,7,4,1,3]=>[4,1,2] [2,5,6,7,4,3,1]=>[4,1,1,1] [2,5,7,1,3,4,6]=>[3,4] [2,5,7,1,3,6,4]=>[3,3,1] [2,5,7,1,4,3,6]=>[3,2,2] [2,5,7,1,4,6,3]=>[3,3,1] [2,5,7,1,6,3,4]=>[3,2,2] [2,5,7,1,6,4,3]=>[3,2,1,1] [2,5,7,3,1,4,6]=>[3,1,3] [2,5,7,3,1,6,4]=>[3,1,2,1] [2,5,7,3,4,1,6]=>[3,2,2] [2,5,7,3,4,6,1]=>[3,3,1] [2,5,7,3,6,1,4]=>[3,2,2] [2,5,7,3,6,4,1]=>[3,2,1,1] [2,5,7,4,1,3,6]=>[3,1,3] [2,5,7,4,1,6,3]=>[3,1,2,1] [2,5,7,4,3,1,6]=>[3,1,1,2] [2,5,7,4,3,6,1]=>[3,1,2,1] [2,5,7,4,6,1,3]=>[3,2,2] [2,5,7,4,6,3,1]=>[3,2,1,1] [2,5,7,6,1,3,4]=>[3,1,3] [2,5,7,6,1,4,3]=>[3,1,2,1] [2,5,7,6,3,1,4]=>[3,1,1,2] [2,5,7,6,3,4,1]=>[3,1,2,1] [2,5,7,6,4,1,3]=>[3,1,1,2] [2,5,7,6,4,3,1]=>[3,1,1,1,1] [2,6,1,3,4,5,7]=>[2,5] [2,6,1,3,4,7,5]=>[2,4,1] [2,6,1,3,5,4,7]=>[2,3,2] [2,6,1,3,5,7,4]=>[2,4,1] [2,6,1,3,7,4,5]=>[2,3,2] [2,6,1,3,7,5,4]=>[2,3,1,1] [2,6,1,4,3,5,7]=>[2,2,3] [2,6,1,4,3,7,5]=>[2,2,2,1] [2,6,1,4,5,3,7]=>[2,3,2] [2,6,1,4,5,7,3]=>[2,4,1] [2,6,1,4,7,3,5]=>[2,3,2] [2,6,1,4,7,5,3]=>[2,3,1,1] [2,6,1,5,3,4,7]=>[2,2,3] [2,6,1,5,3,7,4]=>[2,2,2,1] [2,6,1,5,4,3,7]=>[2,2,1,2] [2,6,1,5,4,7,3]=>[2,2,2,1] [2,6,1,5,7,3,4]=>[2,3,2] [2,6,1,5,7,4,3]=>[2,3,1,1] [2,6,1,7,3,4,5]=>[2,2,3] [2,6,1,7,3,5,4]=>[2,2,2,1] [2,6,1,7,4,3,5]=>[2,2,1,2] [2,6,1,7,4,5,3]=>[2,2,2,1] [2,6,1,7,5,3,4]=>[2,2,1,2] [2,6,1,7,5,4,3]=>[2,2,1,1,1] [2,6,3,1,4,5,7]=>[2,1,4] [2,6,3,1,4,7,5]=>[2,1,3,1] [2,6,3,1,5,4,7]=>[2,1,2,2] [2,6,3,1,5,7,4]=>[2,1,3,1] [2,6,3,1,7,4,5]=>[2,1,2,2] [2,6,3,1,7,5,4]=>[2,1,2,1,1] [2,6,3,4,1,5,7]=>[2,2,3] [2,6,3,4,1,7,5]=>[2,2,2,1] [2,6,3,4,5,1,7]=>[2,3,2] [2,6,3,4,5,7,1]=>[2,4,1] [2,6,3,4,7,1,5]=>[2,3,2] [2,6,3,4,7,5,1]=>[2,3,1,1] [2,6,3,5,1,4,7]=>[2,2,3] [2,6,3,5,1,7,4]=>[2,2,2,1] [2,6,3,5,4,1,7]=>[2,2,1,2] [2,6,3,5,4,7,1]=>[2,2,2,1] [2,6,3,5,7,1,4]=>[2,3,2] [2,6,3,5,7,4,1]=>[2,3,1,1] [2,6,3,7,1,4,5]=>[2,2,3] [2,6,3,7,1,5,4]=>[2,2,2,1] [2,6,3,7,4,1,5]=>[2,2,1,2] [2,6,3,7,4,5,1]=>[2,2,2,1] [2,6,3,7,5,1,4]=>[2,2,1,2] [2,6,3,7,5,4,1]=>[2,2,1,1,1] [2,6,4,1,3,5,7]=>[2,1,4] [2,6,4,1,3,7,5]=>[2,1,3,1] [2,6,4,1,5,3,7]=>[2,1,2,2] [2,6,4,1,5,7,3]=>[2,1,3,1] [2,6,4,1,7,3,5]=>[2,1,2,2] [2,6,4,1,7,5,3]=>[2,1,2,1,1] [2,6,4,3,1,5,7]=>[2,1,1,3] [2,6,4,3,1,7,5]=>[2,1,1,2,1] [2,6,4,3,5,1,7]=>[2,1,2,2] [2,6,4,3,5,7,1]=>[2,1,3,1] [2,6,4,3,7,1,5]=>[2,1,2,2] [2,6,4,3,7,5,1]=>[2,1,2,1,1] [2,6,4,5,1,3,7]=>[2,2,3] [2,6,4,5,1,7,3]=>[2,2,2,1] [2,6,4,5,3,1,7]=>[2,2,1,2] [2,6,4,5,3,7,1]=>[2,2,2,1] [2,6,4,5,7,1,3]=>[2,3,2] [2,6,4,5,7,3,1]=>[2,3,1,1] [2,6,4,7,1,3,5]=>[2,2,3] [2,6,4,7,1,5,3]=>[2,2,2,1] [2,6,4,7,3,1,5]=>[2,2,1,2] [2,6,4,7,3,5,1]=>[2,2,2,1] [2,6,4,7,5,1,3]=>[2,2,1,2] [2,6,4,7,5,3,1]=>[2,2,1,1,1] [2,6,5,1,3,4,7]=>[2,1,4] [2,6,5,1,3,7,4]=>[2,1,3,1] [2,6,5,1,4,3,7]=>[2,1,2,2] [2,6,5,1,4,7,3]=>[2,1,3,1] [2,6,5,1,7,3,4]=>[2,1,2,2] [2,6,5,1,7,4,3]=>[2,1,2,1,1] [2,6,5,3,1,4,7]=>[2,1,1,3] [2,6,5,3,1,7,4]=>[2,1,1,2,1] [2,6,5,3,4,1,7]=>[2,1,2,2] [2,6,5,3,4,7,1]=>[2,1,3,1] [2,6,5,3,7,1,4]=>[2,1,2,2] [2,6,5,3,7,4,1]=>[2,1,2,1,1] [2,6,5,4,1,3,7]=>[2,1,1,3] [2,6,5,4,1,7,3]=>[2,1,1,2,1] [2,6,5,4,3,1,7]=>[2,1,1,1,2] [2,6,5,4,3,7,1]=>[2,1,1,2,1] [2,6,5,4,7,1,3]=>[2,1,2,2] [2,6,5,4,7,3,1]=>[2,1,2,1,1] [2,6,5,7,1,3,4]=>[2,2,3] [2,6,5,7,1,4,3]=>[2,2,2,1] [2,6,5,7,3,1,4]=>[2,2,1,2] [2,6,5,7,3,4,1]=>[2,2,2,1] [2,6,5,7,4,1,3]=>[2,2,1,2] [2,6,5,7,4,3,1]=>[2,2,1,1,1] [2,6,7,1,3,4,5]=>[3,4] [2,6,7,1,3,5,4]=>[3,3,1] [2,6,7,1,4,3,5]=>[3,2,2] [2,6,7,1,4,5,3]=>[3,3,1] [2,6,7,1,5,3,4]=>[3,2,2] [2,6,7,1,5,4,3]=>[3,2,1,1] [2,6,7,3,1,4,5]=>[3,1,3] [2,6,7,3,1,5,4]=>[3,1,2,1] [2,6,7,3,4,1,5]=>[3,2,2] [2,6,7,3,4,5,1]=>[3,3,1] [2,6,7,3,5,1,4]=>[3,2,2] [2,6,7,3,5,4,1]=>[3,2,1,1] [2,6,7,4,1,3,5]=>[3,1,3] [2,6,7,4,1,5,3]=>[3,1,2,1] [2,6,7,4,3,1,5]=>[3,1,1,2] [2,6,7,4,3,5,1]=>[3,1,2,1] [2,6,7,4,5,1,3]=>[3,2,2] [2,6,7,4,5,3,1]=>[3,2,1,1] [2,6,7,5,1,3,4]=>[3,1,3] [2,6,7,5,1,4,3]=>[3,1,2,1] [2,6,7,5,3,1,4]=>[3,1,1,2] [2,6,7,5,3,4,1]=>[3,1,2,1] [2,6,7,5,4,1,3]=>[3,1,1,2] [2,6,7,5,4,3,1]=>[3,1,1,1,1] [2,7,1,3,4,5,6]=>[2,5] [2,7,1,3,4,6,5]=>[2,4,1] [2,7,1,3,5,4,6]=>[2,3,2] [2,7,1,3,5,6,4]=>[2,4,1] [2,7,1,3,6,4,5]=>[2,3,2] [2,7,1,3,6,5,4]=>[2,3,1,1] [2,7,1,4,3,5,6]=>[2,2,3] [2,7,1,4,3,6,5]=>[2,2,2,1] [2,7,1,4,5,3,6]=>[2,3,2] [2,7,1,4,5,6,3]=>[2,4,1] [2,7,1,4,6,3,5]=>[2,3,2] [2,7,1,4,6,5,3]=>[2,3,1,1] [2,7,1,5,3,4,6]=>[2,2,3] [2,7,1,5,3,6,4]=>[2,2,2,1] [2,7,1,5,4,3,6]=>[2,2,1,2] [2,7,1,5,4,6,3]=>[2,2,2,1] [2,7,1,5,6,3,4]=>[2,3,2] [2,7,1,5,6,4,3]=>[2,3,1,1] [2,7,1,6,3,4,5]=>[2,2,3] [2,7,1,6,3,5,4]=>[2,2,2,1] [2,7,1,6,4,3,5]=>[2,2,1,2] [2,7,1,6,4,5,3]=>[2,2,2,1] [2,7,1,6,5,3,4]=>[2,2,1,2] [2,7,1,6,5,4,3]=>[2,2,1,1,1] [2,7,3,1,4,5,6]=>[2,1,4] [2,7,3,1,4,6,5]=>[2,1,3,1] [2,7,3,1,5,4,6]=>[2,1,2,2] [2,7,3,1,5,6,4]=>[2,1,3,1] [2,7,3,1,6,4,5]=>[2,1,2,2] [2,7,3,1,6,5,4]=>[2,1,2,1,1] [2,7,3,4,1,5,6]=>[2,2,3] [2,7,3,4,1,6,5]=>[2,2,2,1] [2,7,3,4,5,1,6]=>[2,3,2] [2,7,3,4,5,6,1]=>[2,4,1] [2,7,3,4,6,1,5]=>[2,3,2] [2,7,3,4,6,5,1]=>[2,3,1,1] [2,7,3,5,1,4,6]=>[2,2,3] [2,7,3,5,1,6,4]=>[2,2,2,1] [2,7,3,5,4,1,6]=>[2,2,1,2] [2,7,3,5,4,6,1]=>[2,2,2,1] [2,7,3,5,6,1,4]=>[2,3,2] [2,7,3,5,6,4,1]=>[2,3,1,1] [2,7,3,6,1,4,5]=>[2,2,3] [2,7,3,6,1,5,4]=>[2,2,2,1] [2,7,3,6,4,1,5]=>[2,2,1,2] [2,7,3,6,4,5,1]=>[2,2,2,1] [2,7,3,6,5,1,4]=>[2,2,1,2] [2,7,3,6,5,4,1]=>[2,2,1,1,1] [2,7,4,1,3,5,6]=>[2,1,4] [2,7,4,1,3,6,5]=>[2,1,3,1] [2,7,4,1,5,3,6]=>[2,1,2,2] [2,7,4,1,5,6,3]=>[2,1,3,1] [2,7,4,1,6,3,5]=>[2,1,2,2] [2,7,4,1,6,5,3]=>[2,1,2,1,1] [2,7,4,3,1,5,6]=>[2,1,1,3] [2,7,4,3,1,6,5]=>[2,1,1,2,1] [2,7,4,3,5,1,6]=>[2,1,2,2] [2,7,4,3,5,6,1]=>[2,1,3,1] [2,7,4,3,6,1,5]=>[2,1,2,2] [2,7,4,3,6,5,1]=>[2,1,2,1,1] [2,7,4,5,1,3,6]=>[2,2,3] [2,7,4,5,1,6,3]=>[2,2,2,1] [2,7,4,5,3,1,6]=>[2,2,1,2] [2,7,4,5,3,6,1]=>[2,2,2,1] [2,7,4,5,6,1,3]=>[2,3,2] [2,7,4,5,6,3,1]=>[2,3,1,1] [2,7,4,6,1,3,5]=>[2,2,3] [2,7,4,6,1,5,3]=>[2,2,2,1] [2,7,4,6,3,1,5]=>[2,2,1,2] [2,7,4,6,3,5,1]=>[2,2,2,1] [2,7,4,6,5,1,3]=>[2,2,1,2] [2,7,4,6,5,3,1]=>[2,2,1,1,1] [2,7,5,1,3,4,6]=>[2,1,4] [2,7,5,1,3,6,4]=>[2,1,3,1] [2,7,5,1,4,3,6]=>[2,1,2,2] [2,7,5,1,4,6,3]=>[2,1,3,1] [2,7,5,1,6,3,4]=>[2,1,2,2] [2,7,5,1,6,4,3]=>[2,1,2,1,1] [2,7,5,3,1,4,6]=>[2,1,1,3] [2,7,5,3,1,6,4]=>[2,1,1,2,1] [2,7,5,3,4,1,6]=>[2,1,2,2] [2,7,5,3,4,6,1]=>[2,1,3,1] [2,7,5,3,6,1,4]=>[2,1,2,2] [2,7,5,3,6,4,1]=>[2,1,2,1,1] [2,7,5,4,1,3,6]=>[2,1,1,3] [2,7,5,4,1,6,3]=>[2,1,1,2,1] [2,7,5,4,3,1,6]=>[2,1,1,1,2] [2,7,5,4,3,6,1]=>[2,1,1,2,1] [2,7,5,4,6,1,3]=>[2,1,2,2] [2,7,5,4,6,3,1]=>[2,1,2,1,1] [2,7,5,6,1,3,4]=>[2,2,3] [2,7,5,6,1,4,3]=>[2,2,2,1] [2,7,5,6,3,1,4]=>[2,2,1,2] [2,7,5,6,3,4,1]=>[2,2,2,1] [2,7,5,6,4,1,3]=>[2,2,1,2] [2,7,5,6,4,3,1]=>[2,2,1,1,1] [2,7,6,1,3,4,5]=>[2,1,4] [2,7,6,1,3,5,4]=>[2,1,3,1] [2,7,6,1,4,3,5]=>[2,1,2,2] [2,7,6,1,4,5,3]=>[2,1,3,1] [2,7,6,1,5,3,4]=>[2,1,2,2] [2,7,6,1,5,4,3]=>[2,1,2,1,1] [2,7,6,3,1,4,5]=>[2,1,1,3] [2,7,6,3,1,5,4]=>[2,1,1,2,1] [2,7,6,3,4,1,5]=>[2,1,2,2] [2,7,6,3,4,5,1]=>[2,1,3,1] [2,7,6,3,5,1,4]=>[2,1,2,2] [2,7,6,3,5,4,1]=>[2,1,2,1,1] [2,7,6,4,1,3,5]=>[2,1,1,3] [2,7,6,4,1,5,3]=>[2,1,1,2,1] [2,7,6,4,3,1,5]=>[2,1,1,1,2] [2,7,6,4,3,5,1]=>[2,1,1,2,1] [2,7,6,4,5,1,3]=>[2,1,2,2] [2,7,6,4,5,3,1]=>[2,1,2,1,1] [2,7,6,5,1,3,4]=>[2,1,1,3] [2,7,6,5,1,4,3]=>[2,1,1,2,1] [2,7,6,5,3,1,4]=>[2,1,1,1,2] [2,7,6,5,3,4,1]=>[2,1,1,2,1] [2,7,6,5,4,1,3]=>[2,1,1,1,2] [2,7,6,5,4,3,1]=>[2,1,1,1,1,1] [3,1,2,4,5,6,7]=>[1,6] [3,1,2,4,5,7,6]=>[1,5,1] [3,1,2,4,6,5,7]=>[1,4,2] [3,1,2,4,6,7,5]=>[1,5,1] [3,1,2,4,7,5,6]=>[1,4,2] [3,1,2,4,7,6,5]=>[1,4,1,1] [3,1,2,5,4,6,7]=>[1,3,3] [3,1,2,5,4,7,6]=>[1,3,2,1] [3,1,2,5,6,4,7]=>[1,4,2] [3,1,2,5,6,7,4]=>[1,5,1] [3,1,2,5,7,4,6]=>[1,4,2] [3,1,2,5,7,6,4]=>[1,4,1,1] [3,1,2,6,4,5,7]=>[1,3,3] [3,1,2,6,4,7,5]=>[1,3,2,1] [3,1,2,6,5,4,7]=>[1,3,1,2] [3,1,2,6,5,7,4]=>[1,3,2,1] [3,1,2,6,7,4,5]=>[1,4,2] [3,1,2,6,7,5,4]=>[1,4,1,1] [3,1,2,7,4,5,6]=>[1,3,3] [3,1,2,7,4,6,5]=>[1,3,2,1] [3,1,2,7,5,4,6]=>[1,3,1,2] [3,1,2,7,5,6,4]=>[1,3,2,1] [3,1,2,7,6,4,5]=>[1,3,1,2] [3,1,2,7,6,5,4]=>[1,3,1,1,1] [3,1,4,2,5,6,7]=>[1,2,4] [3,1,4,2,5,7,6]=>[1,2,3,1] [3,1,4,2,6,5,7]=>[1,2,2,2] [3,1,4,2,6,7,5]=>[1,2,3,1] [3,1,4,2,7,5,6]=>[1,2,2,2] [3,1,4,2,7,6,5]=>[1,2,2,1,1] [3,1,4,5,2,6,7]=>[1,3,3] [3,1,4,5,2,7,6]=>[1,3,2,1] [3,1,4,5,6,2,7]=>[1,4,2] [3,1,4,5,6,7,2]=>[1,5,1] [3,1,4,5,7,2,6]=>[1,4,2] [3,1,4,5,7,6,2]=>[1,4,1,1] [3,1,4,6,2,5,7]=>[1,3,3] [3,1,4,6,2,7,5]=>[1,3,2,1] [3,1,4,6,5,2,7]=>[1,3,1,2] [3,1,4,6,5,7,2]=>[1,3,2,1] [3,1,4,6,7,2,5]=>[1,4,2] [3,1,4,6,7,5,2]=>[1,4,1,1] [3,1,4,7,2,5,6]=>[1,3,3] [3,1,4,7,2,6,5]=>[1,3,2,1] [3,1,4,7,5,2,6]=>[1,3,1,2] [3,1,4,7,5,6,2]=>[1,3,2,1] [3,1,4,7,6,2,5]=>[1,3,1,2] [3,1,4,7,6,5,2]=>[1,3,1,1,1] [3,1,5,2,4,6,7]=>[1,2,4] [3,1,5,2,4,7,6]=>[1,2,3,1] [3,1,5,2,6,4,7]=>[1,2,2,2] [3,1,5,2,6,7,4]=>[1,2,3,1] [3,1,5,2,7,4,6]=>[1,2,2,2] [3,1,5,2,7,6,4]=>[1,2,2,1,1] [3,1,5,4,2,6,7]=>[1,2,1,3] [3,1,5,4,2,7,6]=>[1,2,1,2,1] [3,1,5,4,6,2,7]=>[1,2,2,2] [3,1,5,4,6,7,2]=>[1,2,3,1] [3,1,5,4,7,2,6]=>[1,2,2,2] [3,1,5,4,7,6,2]=>[1,2,2,1,1] [3,1,5,6,2,4,7]=>[1,3,3] [3,1,5,6,2,7,4]=>[1,3,2,1] [3,1,5,6,4,2,7]=>[1,3,1,2] [3,1,5,6,4,7,2]=>[1,3,2,1] [3,1,5,6,7,2,4]=>[1,4,2] [3,1,5,6,7,4,2]=>[1,4,1,1] [3,1,5,7,2,4,6]=>[1,3,3] [3,1,5,7,2,6,4]=>[1,3,2,1] [3,1,5,7,4,2,6]=>[1,3,1,2] [3,1,5,7,4,6,2]=>[1,3,2,1] [3,1,5,7,6,2,4]=>[1,3,1,2] [3,1,5,7,6,4,2]=>[1,3,1,1,1] [3,1,6,2,4,5,7]=>[1,2,4] [3,1,6,2,4,7,5]=>[1,2,3,1] [3,1,6,2,5,4,7]=>[1,2,2,2] [3,1,6,2,5,7,4]=>[1,2,3,1] [3,1,6,2,7,4,5]=>[1,2,2,2] [3,1,6,2,7,5,4]=>[1,2,2,1,1] [3,1,6,4,2,5,7]=>[1,2,1,3] [3,1,6,4,2,7,5]=>[1,2,1,2,1] [3,1,6,4,5,2,7]=>[1,2,2,2] [3,1,6,4,5,7,2]=>[1,2,3,1] [3,1,6,4,7,2,5]=>[1,2,2,2] [3,1,6,4,7,5,2]=>[1,2,2,1,1] [3,1,6,5,2,4,7]=>[1,2,1,3] [3,1,6,5,2,7,4]=>[1,2,1,2,1] [3,1,6,5,4,2,7]=>[1,2,1,1,2] [3,1,6,5,4,7,2]=>[1,2,1,2,1] [3,1,6,5,7,2,4]=>[1,2,2,2] [3,1,6,5,7,4,2]=>[1,2,2,1,1] [3,1,6,7,2,4,5]=>[1,3,3] [3,1,6,7,2,5,4]=>[1,3,2,1] [3,1,6,7,4,2,5]=>[1,3,1,2] [3,1,6,7,4,5,2]=>[1,3,2,1] [3,1,6,7,5,2,4]=>[1,3,1,2] [3,1,6,7,5,4,2]=>[1,3,1,1,1] [3,1,7,2,4,5,6]=>[1,2,4] [3,1,7,2,4,6,5]=>[1,2,3,1] [3,1,7,2,5,4,6]=>[1,2,2,2] [3,1,7,2,5,6,4]=>[1,2,3,1] [3,1,7,2,6,4,5]=>[1,2,2,2] [3,1,7,2,6,5,4]=>[1,2,2,1,1] [3,1,7,4,2,5,6]=>[1,2,1,3] [3,1,7,4,2,6,5]=>[1,2,1,2,1] [3,1,7,4,5,2,6]=>[1,2,2,2] [3,1,7,4,5,6,2]=>[1,2,3,1] [3,1,7,4,6,2,5]=>[1,2,2,2] [3,1,7,4,6,5,2]=>[1,2,2,1,1] [3,1,7,5,2,4,6]=>[1,2,1,3] [3,1,7,5,2,6,4]=>[1,2,1,2,1] [3,1,7,5,4,2,6]=>[1,2,1,1,2] [3,1,7,5,4,6,2]=>[1,2,1,2,1] [3,1,7,5,6,2,4]=>[1,2,2,2] [3,1,7,5,6,4,2]=>[1,2,2,1,1] [3,1,7,6,2,4,5]=>[1,2,1,3] [3,1,7,6,2,5,4]=>[1,2,1,2,1] [3,1,7,6,4,2,5]=>[1,2,1,1,2] [3,1,7,6,4,5,2]=>[1,2,1,2,1] [3,1,7,6,5,2,4]=>[1,2,1,1,2] [3,1,7,6,5,4,2]=>[1,2,1,1,1,1] [3,2,1,4,5,6,7]=>[1,1,5] [3,2,1,4,5,7,6]=>[1,1,4,1] [3,2,1,4,6,5,7]=>[1,1,3,2] [3,2,1,4,6,7,5]=>[1,1,4,1] [3,2,1,4,7,5,6]=>[1,1,3,2] [3,2,1,4,7,6,5]=>[1,1,3,1,1] [3,2,1,5,4,6,7]=>[1,1,2,3] [3,2,1,5,4,7,6]=>[1,1,2,2,1] [3,2,1,5,6,4,7]=>[1,1,3,2] [3,2,1,5,6,7,4]=>[1,1,4,1] [3,2,1,5,7,4,6]=>[1,1,3,2] [3,2,1,5,7,6,4]=>[1,1,3,1,1] [3,2,1,6,4,5,7]=>[1,1,2,3] [3,2,1,6,4,7,5]=>[1,1,2,2,1] [3,2,1,6,5,4,7]=>[1,1,2,1,2] [3,2,1,6,5,7,4]=>[1,1,2,2,1] [3,2,1,6,7,4,5]=>[1,1,3,2] [3,2,1,6,7,5,4]=>[1,1,3,1,1] [3,2,1,7,4,5,6]=>[1,1,2,3] [3,2,1,7,4,6,5]=>[1,1,2,2,1] [3,2,1,7,5,4,6]=>[1,1,2,1,2] [3,2,1,7,5,6,4]=>[1,1,2,2,1] [3,2,1,7,6,4,5]=>[1,1,2,1,2] [3,2,1,7,6,5,4]=>[1,1,2,1,1,1] [3,2,4,1,5,6,7]=>[1,2,4] [3,2,4,1,5,7,6]=>[1,2,3,1] [3,2,4,1,6,5,7]=>[1,2,2,2] [3,2,4,1,6,7,5]=>[1,2,3,1] [3,2,4,1,7,5,6]=>[1,2,2,2] [3,2,4,1,7,6,5]=>[1,2,2,1,1] [3,2,4,5,1,6,7]=>[1,3,3] [3,2,4,5,1,7,6]=>[1,3,2,1] [3,2,4,5,6,1,7]=>[1,4,2] [3,2,4,5,6,7,1]=>[1,5,1] [3,2,4,5,7,1,6]=>[1,4,2] [3,2,4,5,7,6,1]=>[1,4,1,1] [3,2,4,6,1,5,7]=>[1,3,3] [3,2,4,6,1,7,5]=>[1,3,2,1] [3,2,4,6,5,1,7]=>[1,3,1,2] [3,2,4,6,5,7,1]=>[1,3,2,1] [3,2,4,6,7,1,5]=>[1,4,2] [3,2,4,6,7,5,1]=>[1,4,1,1] [3,2,4,7,1,5,6]=>[1,3,3] [3,2,4,7,1,6,5]=>[1,3,2,1] [3,2,4,7,5,1,6]=>[1,3,1,2] [3,2,4,7,5,6,1]=>[1,3,2,1] [3,2,4,7,6,1,5]=>[1,3,1,2] [3,2,4,7,6,5,1]=>[1,3,1,1,1] [3,2,5,1,4,6,7]=>[1,2,4] [3,2,5,1,4,7,6]=>[1,2,3,1] [3,2,5,1,6,4,7]=>[1,2,2,2] [3,2,5,1,6,7,4]=>[1,2,3,1] [3,2,5,1,7,4,6]=>[1,2,2,2] [3,2,5,1,7,6,4]=>[1,2,2,1,1] [3,2,5,4,1,6,7]=>[1,2,1,3] [3,2,5,4,1,7,6]=>[1,2,1,2,1] [3,2,5,4,6,1,7]=>[1,2,2,2] [3,2,5,4,6,7,1]=>[1,2,3,1] [3,2,5,4,7,1,6]=>[1,2,2,2] [3,2,5,4,7,6,1]=>[1,2,2,1,1] [3,2,5,6,1,4,7]=>[1,3,3] [3,2,5,6,1,7,4]=>[1,3,2,1] [3,2,5,6,4,1,7]=>[1,3,1,2] [3,2,5,6,4,7,1]=>[1,3,2,1] [3,2,5,6,7,1,4]=>[1,4,2] [3,2,5,6,7,4,1]=>[1,4,1,1] [3,2,5,7,1,4,6]=>[1,3,3] [3,2,5,7,1,6,4]=>[1,3,2,1] [3,2,5,7,4,1,6]=>[1,3,1,2] [3,2,5,7,4,6,1]=>[1,3,2,1] [3,2,5,7,6,1,4]=>[1,3,1,2] [3,2,5,7,6,4,1]=>[1,3,1,1,1] [3,2,6,1,4,5,7]=>[1,2,4] [3,2,6,1,4,7,5]=>[1,2,3,1] [3,2,6,1,5,4,7]=>[1,2,2,2] [3,2,6,1,5,7,4]=>[1,2,3,1] [3,2,6,1,7,4,5]=>[1,2,2,2] [3,2,6,1,7,5,4]=>[1,2,2,1,1] [3,2,6,4,1,5,7]=>[1,2,1,3] [3,2,6,4,1,7,5]=>[1,2,1,2,1] [3,2,6,4,5,1,7]=>[1,2,2,2] [3,2,6,4,5,7,1]=>[1,2,3,1] [3,2,6,4,7,1,5]=>[1,2,2,2] [3,2,6,4,7,5,1]=>[1,2,2,1,1] [3,2,6,5,1,4,7]=>[1,2,1,3] [3,2,6,5,1,7,4]=>[1,2,1,2,1] [3,2,6,5,4,1,7]=>[1,2,1,1,2] [3,2,6,5,4,7,1]=>[1,2,1,2,1] [3,2,6,5,7,1,4]=>[1,2,2,2] [3,2,6,5,7,4,1]=>[1,2,2,1,1] [3,2,6,7,1,4,5]=>[1,3,3] [3,2,6,7,1,5,4]=>[1,3,2,1] [3,2,6,7,4,1,5]=>[1,3,1,2] [3,2,6,7,4,5,1]=>[1,3,2,1] [3,2,6,7,5,1,4]=>[1,3,1,2] [3,2,6,7,5,4,1]=>[1,3,1,1,1] [3,2,7,1,4,5,6]=>[1,2,4] [3,2,7,1,4,6,5]=>[1,2,3,1] [3,2,7,1,5,4,6]=>[1,2,2,2] [3,2,7,1,5,6,4]=>[1,2,3,1] [3,2,7,1,6,4,5]=>[1,2,2,2] [3,2,7,1,6,5,4]=>[1,2,2,1,1] [3,2,7,4,1,5,6]=>[1,2,1,3] [3,2,7,4,1,6,5]=>[1,2,1,2,1] [3,2,7,4,5,1,6]=>[1,2,2,2] [3,2,7,4,5,6,1]=>[1,2,3,1] [3,2,7,4,6,1,5]=>[1,2,2,2] [3,2,7,4,6,5,1]=>[1,2,2,1,1] [3,2,7,5,1,4,6]=>[1,2,1,3] [3,2,7,5,1,6,4]=>[1,2,1,2,1] [3,2,7,5,4,1,6]=>[1,2,1,1,2] [3,2,7,5,4,6,1]=>[1,2,1,2,1] [3,2,7,5,6,1,4]=>[1,2,2,2] [3,2,7,5,6,4,1]=>[1,2,2,1,1] [3,2,7,6,1,4,5]=>[1,2,1,3] [3,2,7,6,1,5,4]=>[1,2,1,2,1] [3,2,7,6,4,1,5]=>[1,2,1,1,2] [3,2,7,6,4,5,1]=>[1,2,1,2,1] [3,2,7,6,5,1,4]=>[1,2,1,1,2] [3,2,7,6,5,4,1]=>[1,2,1,1,1,1] [3,4,1,2,5,6,7]=>[2,5] [3,4,1,2,5,7,6]=>[2,4,1] [3,4,1,2,6,5,7]=>[2,3,2] [3,4,1,2,6,7,5]=>[2,4,1] [3,4,1,2,7,5,6]=>[2,3,2] [3,4,1,2,7,6,5]=>[2,3,1,1] [3,4,1,5,2,6,7]=>[2,2,3] [3,4,1,5,2,7,6]=>[2,2,2,1] [3,4,1,5,6,2,7]=>[2,3,2] [3,4,1,5,6,7,2]=>[2,4,1] [3,4,1,5,7,2,6]=>[2,3,2] [3,4,1,5,7,6,2]=>[2,3,1,1] [3,4,1,6,2,5,7]=>[2,2,3] [3,4,1,6,2,7,5]=>[2,2,2,1] [3,4,1,6,5,2,7]=>[2,2,1,2] [3,4,1,6,5,7,2]=>[2,2,2,1] [3,4,1,6,7,2,5]=>[2,3,2] [3,4,1,6,7,5,2]=>[2,3,1,1] [3,4,1,7,2,5,6]=>[2,2,3] [3,4,1,7,2,6,5]=>[2,2,2,1] [3,4,1,7,5,2,6]=>[2,2,1,2] [3,4,1,7,5,6,2]=>[2,2,2,1] [3,4,1,7,6,2,5]=>[2,2,1,2] [3,4,1,7,6,5,2]=>[2,2,1,1,1] [3,4,2,1,5,6,7]=>[2,1,4] [3,4,2,1,5,7,6]=>[2,1,3,1] [3,4,2,1,6,5,7]=>[2,1,2,2] [3,4,2,1,6,7,5]=>[2,1,3,1] [3,4,2,1,7,5,6]=>[2,1,2,2] [3,4,2,1,7,6,5]=>[2,1,2,1,1] [3,4,2,5,1,6,7]=>[2,2,3] [3,4,2,5,1,7,6]=>[2,2,2,1] [3,4,2,5,6,1,7]=>[2,3,2] [3,4,2,5,6,7,1]=>[2,4,1] [3,4,2,5,7,1,6]=>[2,3,2] [3,4,2,5,7,6,1]=>[2,3,1,1] [3,4,2,6,1,5,7]=>[2,2,3] [3,4,2,6,1,7,5]=>[2,2,2,1] [3,4,2,6,5,1,7]=>[2,2,1,2] [3,4,2,6,5,7,1]=>[2,2,2,1] [3,4,2,6,7,1,5]=>[2,3,2] [3,4,2,6,7,5,1]=>[2,3,1,1] [3,4,2,7,1,5,6]=>[2,2,3] [3,4,2,7,1,6,5]=>[2,2,2,1] [3,4,2,7,5,1,6]=>[2,2,1,2] [3,4,2,7,5,6,1]=>[2,2,2,1] [3,4,2,7,6,1,5]=>[2,2,1,2] [3,4,2,7,6,5,1]=>[2,2,1,1,1] [3,4,5,1,2,6,7]=>[3,4] [3,4,5,1,2,7,6]=>[3,3,1] [3,4,5,1,6,2,7]=>[3,2,2] [3,4,5,1,6,7,2]=>[3,3,1] [3,4,5,1,7,2,6]=>[3,2,2] [3,4,5,1,7,6,2]=>[3,2,1,1] [3,4,5,2,1,6,7]=>[3,1,3] [3,4,5,2,1,7,6]=>[3,1,2,1] [3,4,5,2,6,1,7]=>[3,2,2] [3,4,5,2,6,7,1]=>[3,3,1] [3,4,5,2,7,1,6]=>[3,2,2] [3,4,5,2,7,6,1]=>[3,2,1,1] [3,4,5,6,1,2,7]=>[4,3] [3,4,5,6,1,7,2]=>[4,2,1] [3,4,5,6,2,1,7]=>[4,1,2] [3,4,5,6,2,7,1]=>[4,2,1] [3,4,5,6,7,1,2]=>[5,2] [3,4,5,6,7,2,1]=>[5,1,1] [3,4,5,7,1,2,6]=>[4,3] [3,4,5,7,1,6,2]=>[4,2,1] [3,4,5,7,2,1,6]=>[4,1,2] [3,4,5,7,2,6,1]=>[4,2,1] [3,4,5,7,6,1,2]=>[4,1,2] [3,4,5,7,6,2,1]=>[4,1,1,1] [3,4,6,1,2,5,7]=>[3,4] [3,4,6,1,2,7,5]=>[3,3,1] [3,4,6,1,5,2,7]=>[3,2,2] [3,4,6,1,5,7,2]=>[3,3,1] [3,4,6,1,7,2,5]=>[3,2,2] [3,4,6,1,7,5,2]=>[3,2,1,1] [3,4,6,2,1,5,7]=>[3,1,3] [3,4,6,2,1,7,5]=>[3,1,2,1] [3,4,6,2,5,1,7]=>[3,2,2] [3,4,6,2,5,7,1]=>[3,3,1] [3,4,6,2,7,1,5]=>[3,2,2] [3,4,6,2,7,5,1]=>[3,2,1,1] [3,4,6,5,1,2,7]=>[3,1,3] [3,4,6,5,1,7,2]=>[3,1,2,1] [3,4,6,5,2,1,7]=>[3,1,1,2] [3,4,6,5,2,7,1]=>[3,1,2,1] [3,4,6,5,7,1,2]=>[3,2,2] [3,4,6,5,7,2,1]=>[3,2,1,1] [3,4,6,7,1,2,5]=>[4,3] [3,4,6,7,1,5,2]=>[4,2,1] [3,4,6,7,2,1,5]=>[4,1,2] [3,4,6,7,2,5,1]=>[4,2,1] [3,4,6,7,5,1,2]=>[4,1,2] [3,4,6,7,5,2,1]=>[4,1,1,1] [3,4,7,1,2,5,6]=>[3,4] [3,4,7,1,2,6,5]=>[3,3,1] [3,4,7,1,5,2,6]=>[3,2,2] [3,4,7,1,5,6,2]=>[3,3,1] [3,4,7,1,6,2,5]=>[3,2,2] [3,4,7,1,6,5,2]=>[3,2,1,1] [3,4,7,2,1,5,6]=>[3,1,3] [3,4,7,2,1,6,5]=>[3,1,2,1] [3,4,7,2,5,1,6]=>[3,2,2] [3,4,7,2,5,6,1]=>[3,3,1] [3,4,7,2,6,1,5]=>[3,2,2] [3,4,7,2,6,5,1]=>[3,2,1,1] [3,4,7,5,1,2,6]=>[3,1,3] [3,4,7,5,1,6,2]=>[3,1,2,1] [3,4,7,5,2,1,6]=>[3,1,1,2] [3,4,7,5,2,6,1]=>[3,1,2,1] [3,4,7,5,6,1,2]=>[3,2,2] [3,4,7,5,6,2,1]=>[3,2,1,1] [3,4,7,6,1,2,5]=>[3,1,3] [3,4,7,6,1,5,2]=>[3,1,2,1] [3,4,7,6,2,1,5]=>[3,1,1,2] [3,4,7,6,2,5,1]=>[3,1,2,1] [3,4,7,6,5,1,2]=>[3,1,1,2] [3,4,7,6,5,2,1]=>[3,1,1,1,1] [3,5,1,2,4,6,7]=>[2,5] [3,5,1,2,4,7,6]=>[2,4,1] [3,5,1,2,6,4,7]=>[2,3,2] [3,5,1,2,6,7,4]=>[2,4,1] [3,5,1,2,7,4,6]=>[2,3,2] [3,5,1,2,7,6,4]=>[2,3,1,1] [3,5,1,4,2,6,7]=>[2,2,3] [3,5,1,4,2,7,6]=>[2,2,2,1] [3,5,1,4,6,2,7]=>[2,3,2] [3,5,1,4,6,7,2]=>[2,4,1] [3,5,1,4,7,2,6]=>[2,3,2] [3,5,1,4,7,6,2]=>[2,3,1,1] [3,5,1,6,2,4,7]=>[2,2,3] [3,5,1,6,2,7,4]=>[2,2,2,1] [3,5,1,6,4,2,7]=>[2,2,1,2] [3,5,1,6,4,7,2]=>[2,2,2,1] [3,5,1,6,7,2,4]=>[2,3,2] [3,5,1,6,7,4,2]=>[2,3,1,1] [3,5,1,7,2,4,6]=>[2,2,3] [3,5,1,7,2,6,4]=>[2,2,2,1] [3,5,1,7,4,2,6]=>[2,2,1,2] [3,5,1,7,4,6,2]=>[2,2,2,1] [3,5,1,7,6,2,4]=>[2,2,1,2] [3,5,1,7,6,4,2]=>[2,2,1,1,1] [3,5,2,1,4,6,7]=>[2,1,4] [3,5,2,1,4,7,6]=>[2,1,3,1] [3,5,2,1,6,4,7]=>[2,1,2,2] [3,5,2,1,6,7,4]=>[2,1,3,1] [3,5,2,1,7,4,6]=>[2,1,2,2] [3,5,2,1,7,6,4]=>[2,1,2,1,1] [3,5,2,4,1,6,7]=>[2,2,3] [3,5,2,4,1,7,6]=>[2,2,2,1] [3,5,2,4,6,1,7]=>[2,3,2] [3,5,2,4,6,7,1]=>[2,4,1] [3,5,2,4,7,1,6]=>[2,3,2] [3,5,2,4,7,6,1]=>[2,3,1,1] [3,5,2,6,1,4,7]=>[2,2,3] [3,5,2,6,1,7,4]=>[2,2,2,1] [3,5,2,6,4,1,7]=>[2,2,1,2] [3,5,2,6,4,7,1]=>[2,2,2,1] [3,5,2,6,7,1,4]=>[2,3,2] [3,5,2,6,7,4,1]=>[2,3,1,1] [3,5,2,7,1,4,6]=>[2,2,3] [3,5,2,7,1,6,4]=>[2,2,2,1] [3,5,2,7,4,1,6]=>[2,2,1,2] [3,5,2,7,4,6,1]=>[2,2,2,1] [3,5,2,7,6,1,4]=>[2,2,1,2] [3,5,2,7,6,4,1]=>[2,2,1,1,1] [3,5,4,1,2,6,7]=>[2,1,4] [3,5,4,1,2,7,6]=>[2,1,3,1] [3,5,4,1,6,2,7]=>[2,1,2,2] [3,5,4,1,6,7,2]=>[2,1,3,1] [3,5,4,1,7,2,6]=>[2,1,2,2] [3,5,4,1,7,6,2]=>[2,1,2,1,1] [3,5,4,2,1,6,7]=>[2,1,1,3] [3,5,4,2,1,7,6]=>[2,1,1,2,1] [3,5,4,2,6,1,7]=>[2,1,2,2] [3,5,4,2,6,7,1]=>[2,1,3,1] [3,5,4,2,7,1,6]=>[2,1,2,2] [3,5,4,2,7,6,1]=>[2,1,2,1,1] [3,5,4,6,1,2,7]=>[2,2,3] [3,5,4,6,1,7,2]=>[2,2,2,1] [3,5,4,6,2,1,7]=>[2,2,1,2] [3,5,4,6,2,7,1]=>[2,2,2,1] [3,5,4,6,7,1,2]=>[2,3,2] [3,5,4,6,7,2,1]=>[2,3,1,1] [3,5,4,7,1,2,6]=>[2,2,3] [3,5,4,7,1,6,2]=>[2,2,2,1] [3,5,4,7,2,1,6]=>[2,2,1,2] [3,5,4,7,2,6,1]=>[2,2,2,1] [3,5,4,7,6,1,2]=>[2,2,1,2] [3,5,4,7,6,2,1]=>[2,2,1,1,1] [3,5,6,1,2,4,7]=>[3,4] [3,5,6,1,2,7,4]=>[3,3,1] [3,5,6,1,4,2,7]=>[3,2,2] [3,5,6,1,4,7,2]=>[3,3,1] [3,5,6,1,7,2,4]=>[3,2,2] [3,5,6,1,7,4,2]=>[3,2,1,1] [3,5,6,2,1,4,7]=>[3,1,3] [3,5,6,2,1,7,4]=>[3,1,2,1] [3,5,6,2,4,1,7]=>[3,2,2] [3,5,6,2,4,7,1]=>[3,3,1] [3,5,6,2,7,1,4]=>[3,2,2] [3,5,6,2,7,4,1]=>[3,2,1,1] [3,5,6,4,1,2,7]=>[3,1,3] [3,5,6,4,1,7,2]=>[3,1,2,1] [3,5,6,4,2,1,7]=>[3,1,1,2] [3,5,6,4,2,7,1]=>[3,1,2,1] [3,5,6,4,7,1,2]=>[3,2,2] [3,5,6,4,7,2,1]=>[3,2,1,1] [3,5,6,7,1,2,4]=>[4,3] [3,5,6,7,1,4,2]=>[4,2,1] [3,5,6,7,2,1,4]=>[4,1,2] [3,5,6,7,2,4,1]=>[4,2,1] [3,5,6,7,4,1,2]=>[4,1,2] [3,5,6,7,4,2,1]=>[4,1,1,1] [3,5,7,1,2,4,6]=>[3,4] [3,5,7,1,2,6,4]=>[3,3,1] [3,5,7,1,4,2,6]=>[3,2,2] [3,5,7,1,4,6,2]=>[3,3,1] [3,5,7,1,6,2,4]=>[3,2,2] [3,5,7,1,6,4,2]=>[3,2,1,1] [3,5,7,2,1,4,6]=>[3,1,3] [3,5,7,2,1,6,4]=>[3,1,2,1] [3,5,7,2,4,1,6]=>[3,2,2] [3,5,7,2,4,6,1]=>[3,3,1] [3,5,7,2,6,1,4]=>[3,2,2] [3,5,7,2,6,4,1]=>[3,2,1,1] [3,5,7,4,1,2,6]=>[3,1,3] [3,5,7,4,1,6,2]=>[3,1,2,1] [3,5,7,4,2,1,6]=>[3,1,1,2] [3,5,7,4,2,6,1]=>[3,1,2,1] [3,5,7,4,6,1,2]=>[3,2,2] [3,5,7,4,6,2,1]=>[3,2,1,1] [3,5,7,6,1,2,4]=>[3,1,3] [3,5,7,6,1,4,2]=>[3,1,2,1] [3,5,7,6,2,1,4]=>[3,1,1,2] [3,5,7,6,2,4,1]=>[3,1,2,1] [3,5,7,6,4,1,2]=>[3,1,1,2] [3,5,7,6,4,2,1]=>[3,1,1,1,1] [3,6,1,2,4,5,7]=>[2,5] [3,6,1,2,4,7,5]=>[2,4,1] [3,6,1,2,5,4,7]=>[2,3,2] [3,6,1,2,5,7,4]=>[2,4,1] [3,6,1,2,7,4,5]=>[2,3,2] [3,6,1,2,7,5,4]=>[2,3,1,1] [3,6,1,4,2,5,7]=>[2,2,3] [3,6,1,4,2,7,5]=>[2,2,2,1] [3,6,1,4,5,2,7]=>[2,3,2] [3,6,1,4,5,7,2]=>[2,4,1] [3,6,1,4,7,2,5]=>[2,3,2] [3,6,1,4,7,5,2]=>[2,3,1,1] [3,6,1,5,2,4,7]=>[2,2,3] [3,6,1,5,2,7,4]=>[2,2,2,1] [3,6,1,5,4,2,7]=>[2,2,1,2] [3,6,1,5,4,7,2]=>[2,2,2,1] [3,6,1,5,7,2,4]=>[2,3,2] [3,6,1,5,7,4,2]=>[2,3,1,1] [3,6,1,7,2,4,5]=>[2,2,3] [3,6,1,7,2,5,4]=>[2,2,2,1] [3,6,1,7,4,2,5]=>[2,2,1,2] [3,6,1,7,4,5,2]=>[2,2,2,1] [3,6,1,7,5,2,4]=>[2,2,1,2] [3,6,1,7,5,4,2]=>[2,2,1,1,1] [3,6,2,1,4,5,7]=>[2,1,4] [3,6,2,1,4,7,5]=>[2,1,3,1] [3,6,2,1,5,4,7]=>[2,1,2,2] [3,6,2,1,5,7,4]=>[2,1,3,1] [3,6,2,1,7,4,5]=>[2,1,2,2] [3,6,2,1,7,5,4]=>[2,1,2,1,1] [3,6,2,4,1,5,7]=>[2,2,3] [3,6,2,4,1,7,5]=>[2,2,2,1] [3,6,2,4,5,1,7]=>[2,3,2] [3,6,2,4,5,7,1]=>[2,4,1] [3,6,2,4,7,1,5]=>[2,3,2] [3,6,2,4,7,5,1]=>[2,3,1,1] [3,6,2,5,1,4,7]=>[2,2,3] [3,6,2,5,1,7,4]=>[2,2,2,1] [3,6,2,5,4,1,7]=>[2,2,1,2] [3,6,2,5,4,7,1]=>[2,2,2,1] [3,6,2,5,7,1,4]=>[2,3,2] [3,6,2,5,7,4,1]=>[2,3,1,1] [3,6,2,7,1,4,5]=>[2,2,3] [3,6,2,7,1,5,4]=>[2,2,2,1] [3,6,2,7,4,1,5]=>[2,2,1,2] [3,6,2,7,4,5,1]=>[2,2,2,1] [3,6,2,7,5,1,4]=>[2,2,1,2] [3,6,2,7,5,4,1]=>[2,2,1,1,1] [3,6,4,1,2,5,7]=>[2,1,4] [3,6,4,1,2,7,5]=>[2,1,3,1] [3,6,4,1,5,2,7]=>[2,1,2,2] [3,6,4,1,5,7,2]=>[2,1,3,1] [3,6,4,1,7,2,5]=>[2,1,2,2] [3,6,4,1,7,5,2]=>[2,1,2,1,1] [3,6,4,2,1,5,7]=>[2,1,1,3] [3,6,4,2,1,7,5]=>[2,1,1,2,1] [3,6,4,2,5,1,7]=>[2,1,2,2] [3,6,4,2,5,7,1]=>[2,1,3,1] [3,6,4,2,7,1,5]=>[2,1,2,2] [3,6,4,2,7,5,1]=>[2,1,2,1,1] [3,6,4,5,1,2,7]=>[2,2,3] [3,6,4,5,1,7,2]=>[2,2,2,1] [3,6,4,5,2,1,7]=>[2,2,1,2] [3,6,4,5,2,7,1]=>[2,2,2,1] [3,6,4,5,7,1,2]=>[2,3,2] [3,6,4,5,7,2,1]=>[2,3,1,1] [3,6,4,7,1,2,5]=>[2,2,3] [3,6,4,7,1,5,2]=>[2,2,2,1] [3,6,4,7,2,1,5]=>[2,2,1,2] [3,6,4,7,2,5,1]=>[2,2,2,1] [3,6,4,7,5,1,2]=>[2,2,1,2] [3,6,4,7,5,2,1]=>[2,2,1,1,1] [3,6,5,1,2,4,7]=>[2,1,4] [3,6,5,1,2,7,4]=>[2,1,3,1] [3,6,5,1,4,2,7]=>[2,1,2,2] [3,6,5,1,4,7,2]=>[2,1,3,1] [3,6,5,1,7,2,4]=>[2,1,2,2] [3,6,5,1,7,4,2]=>[2,1,2,1,1] [3,6,5,2,1,4,7]=>[2,1,1,3] [3,6,5,2,1,7,4]=>[2,1,1,2,1] [3,6,5,2,4,1,7]=>[2,1,2,2] [3,6,5,2,4,7,1]=>[2,1,3,1] [3,6,5,2,7,1,4]=>[2,1,2,2] [3,6,5,2,7,4,1]=>[2,1,2,1,1] [3,6,5,4,1,2,7]=>[2,1,1,3] [3,6,5,4,1,7,2]=>[2,1,1,2,1] [3,6,5,4,2,1,7]=>[2,1,1,1,2] [3,6,5,4,2,7,1]=>[2,1,1,2,1] [3,6,5,4,7,1,2]=>[2,1,2,2] [3,6,5,4,7,2,1]=>[2,1,2,1,1] [3,6,5,7,1,2,4]=>[2,2,3] [3,6,5,7,1,4,2]=>[2,2,2,1] [3,6,5,7,2,1,4]=>[2,2,1,2] [3,6,5,7,2,4,1]=>[2,2,2,1] [3,6,5,7,4,1,2]=>[2,2,1,2] [3,6,5,7,4,2,1]=>[2,2,1,1,1] [3,6,7,1,2,4,5]=>[3,4] [3,6,7,1,2,5,4]=>[3,3,1] [3,6,7,1,4,2,5]=>[3,2,2] [3,6,7,1,4,5,2]=>[3,3,1] [3,6,7,1,5,2,4]=>[3,2,2] [3,6,7,1,5,4,2]=>[3,2,1,1] [3,6,7,2,1,4,5]=>[3,1,3] [3,6,7,2,1,5,4]=>[3,1,2,1] [3,6,7,2,4,1,5]=>[3,2,2] [3,6,7,2,4,5,1]=>[3,3,1] [3,6,7,2,5,1,4]=>[3,2,2] [3,6,7,2,5,4,1]=>[3,2,1,1] [3,6,7,4,1,2,5]=>[3,1,3] [3,6,7,4,1,5,2]=>[3,1,2,1] [3,6,7,4,2,1,5]=>[3,1,1,2] [3,6,7,4,2,5,1]=>[3,1,2,1] [3,6,7,4,5,1,2]=>[3,2,2] [3,6,7,4,5,2,1]=>[3,2,1,1] [3,6,7,5,1,2,4]=>[3,1,3] [3,6,7,5,1,4,2]=>[3,1,2,1] [3,6,7,5,2,1,4]=>[3,1,1,2] [3,6,7,5,2,4,1]=>[3,1,2,1] [3,6,7,5,4,1,2]=>[3,1,1,2] [3,6,7,5,4,2,1]=>[3,1,1,1,1] [3,7,1,2,4,5,6]=>[2,5] [3,7,1,2,4,6,5]=>[2,4,1] [3,7,1,2,5,4,6]=>[2,3,2] [3,7,1,2,5,6,4]=>[2,4,1] [3,7,1,2,6,4,5]=>[2,3,2] [3,7,1,2,6,5,4]=>[2,3,1,1] [3,7,1,4,2,5,6]=>[2,2,3] [3,7,1,4,2,6,5]=>[2,2,2,1] [3,7,1,4,5,2,6]=>[2,3,2] [3,7,1,4,5,6,2]=>[2,4,1] [3,7,1,4,6,2,5]=>[2,3,2] [3,7,1,4,6,5,2]=>[2,3,1,1] [3,7,1,5,2,4,6]=>[2,2,3] [3,7,1,5,2,6,4]=>[2,2,2,1] [3,7,1,5,4,2,6]=>[2,2,1,2] [3,7,1,5,4,6,2]=>[2,2,2,1] [3,7,1,5,6,2,4]=>[2,3,2] [3,7,1,5,6,4,2]=>[2,3,1,1] [3,7,1,6,2,4,5]=>[2,2,3] [3,7,1,6,2,5,4]=>[2,2,2,1] [3,7,1,6,4,2,5]=>[2,2,1,2] [3,7,1,6,4,5,2]=>[2,2,2,1] [3,7,1,6,5,2,4]=>[2,2,1,2] [3,7,1,6,5,4,2]=>[2,2,1,1,1] [3,7,2,1,4,5,6]=>[2,1,4] [3,7,2,1,4,6,5]=>[2,1,3,1] [3,7,2,1,5,4,6]=>[2,1,2,2] [3,7,2,1,5,6,4]=>[2,1,3,1] [3,7,2,1,6,4,5]=>[2,1,2,2] [3,7,2,1,6,5,4]=>[2,1,2,1,1] [3,7,2,4,1,5,6]=>[2,2,3] [3,7,2,4,1,6,5]=>[2,2,2,1] [3,7,2,4,5,1,6]=>[2,3,2] [3,7,2,4,5,6,1]=>[2,4,1] [3,7,2,4,6,1,5]=>[2,3,2] [3,7,2,4,6,5,1]=>[2,3,1,1] [3,7,2,5,1,4,6]=>[2,2,3] [3,7,2,5,1,6,4]=>[2,2,2,1] [3,7,2,5,4,1,6]=>[2,2,1,2] [3,7,2,5,4,6,1]=>[2,2,2,1] [3,7,2,5,6,1,4]=>[2,3,2] [3,7,2,5,6,4,1]=>[2,3,1,1] [3,7,2,6,1,4,5]=>[2,2,3] [3,7,2,6,1,5,4]=>[2,2,2,1] [3,7,2,6,4,1,5]=>[2,2,1,2] [3,7,2,6,4,5,1]=>[2,2,2,1] [3,7,2,6,5,1,4]=>[2,2,1,2] [3,7,2,6,5,4,1]=>[2,2,1,1,1] [3,7,4,1,2,5,6]=>[2,1,4] [3,7,4,1,2,6,5]=>[2,1,3,1] [3,7,4,1,5,2,6]=>[2,1,2,2] [3,7,4,1,5,6,2]=>[2,1,3,1] [3,7,4,1,6,2,5]=>[2,1,2,2] [3,7,4,1,6,5,2]=>[2,1,2,1,1] [3,7,4,2,1,5,6]=>[2,1,1,3] [3,7,4,2,1,6,5]=>[2,1,1,2,1] [3,7,4,2,5,1,6]=>[2,1,2,2] [3,7,4,2,5,6,1]=>[2,1,3,1] [3,7,4,2,6,1,5]=>[2,1,2,2] [3,7,4,2,6,5,1]=>[2,1,2,1,1] [3,7,4,5,1,2,6]=>[2,2,3] [3,7,4,5,1,6,2]=>[2,2,2,1] [3,7,4,5,2,1,6]=>[2,2,1,2] [3,7,4,5,2,6,1]=>[2,2,2,1] [3,7,4,5,6,1,2]=>[2,3,2] [3,7,4,5,6,2,1]=>[2,3,1,1] [3,7,4,6,1,2,5]=>[2,2,3] [3,7,4,6,1,5,2]=>[2,2,2,1] [3,7,4,6,2,1,5]=>[2,2,1,2] [3,7,4,6,2,5,1]=>[2,2,2,1] [3,7,4,6,5,1,2]=>[2,2,1,2] [3,7,4,6,5,2,1]=>[2,2,1,1,1] [3,7,5,1,2,4,6]=>[2,1,4] [3,7,5,1,2,6,4]=>[2,1,3,1] [3,7,5,1,4,2,6]=>[2,1,2,2] [3,7,5,1,4,6,2]=>[2,1,3,1] [3,7,5,1,6,2,4]=>[2,1,2,2] [3,7,5,1,6,4,2]=>[2,1,2,1,1] [3,7,5,2,1,4,6]=>[2,1,1,3] [3,7,5,2,1,6,4]=>[2,1,1,2,1] [3,7,5,2,4,1,6]=>[2,1,2,2] [3,7,5,2,4,6,1]=>[2,1,3,1] [3,7,5,2,6,1,4]=>[2,1,2,2] [3,7,5,2,6,4,1]=>[2,1,2,1,1] [3,7,5,4,1,2,6]=>[2,1,1,3] [3,7,5,4,1,6,2]=>[2,1,1,2,1] [3,7,5,4,2,1,6]=>[2,1,1,1,2] [3,7,5,4,2,6,1]=>[2,1,1,2,1] [3,7,5,4,6,1,2]=>[2,1,2,2] [3,7,5,4,6,2,1]=>[2,1,2,1,1] [3,7,5,6,1,2,4]=>[2,2,3] [3,7,5,6,1,4,2]=>[2,2,2,1] [3,7,5,6,2,1,4]=>[2,2,1,2] [3,7,5,6,2,4,1]=>[2,2,2,1] [3,7,5,6,4,1,2]=>[2,2,1,2] [3,7,5,6,4,2,1]=>[2,2,1,1,1] [3,7,6,1,2,4,5]=>[2,1,4] [3,7,6,1,2,5,4]=>[2,1,3,1] [3,7,6,1,4,2,5]=>[2,1,2,2] [3,7,6,1,4,5,2]=>[2,1,3,1] [3,7,6,1,5,2,4]=>[2,1,2,2] [3,7,6,1,5,4,2]=>[2,1,2,1,1] [3,7,6,2,1,4,5]=>[2,1,1,3] [3,7,6,2,1,5,4]=>[2,1,1,2,1] [3,7,6,2,4,1,5]=>[2,1,2,2] [3,7,6,2,4,5,1]=>[2,1,3,1] [3,7,6,2,5,1,4]=>[2,1,2,2] [3,7,6,2,5,4,1]=>[2,1,2,1,1] [3,7,6,4,1,2,5]=>[2,1,1,3] [3,7,6,4,1,5,2]=>[2,1,1,2,1] [3,7,6,4,2,1,5]=>[2,1,1,1,2] [3,7,6,4,2,5,1]=>[2,1,1,2,1] [3,7,6,4,5,1,2]=>[2,1,2,2] [3,7,6,4,5,2,1]=>[2,1,2,1,1] [3,7,6,5,1,2,4]=>[2,1,1,3] [3,7,6,5,1,4,2]=>[2,1,1,2,1] [3,7,6,5,2,1,4]=>[2,1,1,1,2] [3,7,6,5,2,4,1]=>[2,1,1,2,1] [3,7,6,5,4,1,2]=>[2,1,1,1,2] [3,7,6,5,4,2,1]=>[2,1,1,1,1,1] [4,1,2,3,5,6,7]=>[1,6] [4,1,2,3,5,7,6]=>[1,5,1] [4,1,2,3,6,5,7]=>[1,4,2] [4,1,2,3,6,7,5]=>[1,5,1] [4,1,2,3,7,5,6]=>[1,4,2] [4,1,2,3,7,6,5]=>[1,4,1,1] [4,1,2,5,3,6,7]=>[1,3,3] [4,1,2,5,3,7,6]=>[1,3,2,1] [4,1,2,5,6,3,7]=>[1,4,2] [4,1,2,5,6,7,3]=>[1,5,1] [4,1,2,5,7,3,6]=>[1,4,2] [4,1,2,5,7,6,3]=>[1,4,1,1] [4,1,2,6,3,5,7]=>[1,3,3] [4,1,2,6,3,7,5]=>[1,3,2,1] [4,1,2,6,5,3,7]=>[1,3,1,2] [4,1,2,6,5,7,3]=>[1,3,2,1] [4,1,2,6,7,3,5]=>[1,4,2] [4,1,2,6,7,5,3]=>[1,4,1,1] [4,1,2,7,3,5,6]=>[1,3,3] [4,1,2,7,3,6,5]=>[1,3,2,1] [4,1,2,7,5,3,6]=>[1,3,1,2] [4,1,2,7,5,6,3]=>[1,3,2,1] [4,1,2,7,6,3,5]=>[1,3,1,2] [4,1,2,7,6,5,3]=>[1,3,1,1,1] [4,1,3,2,5,6,7]=>[1,2,4] [4,1,3,2,5,7,6]=>[1,2,3,1] [4,1,3,2,6,5,7]=>[1,2,2,2] [4,1,3,2,6,7,5]=>[1,2,3,1] [4,1,3,2,7,5,6]=>[1,2,2,2] [4,1,3,2,7,6,5]=>[1,2,2,1,1] [4,1,3,5,2,6,7]=>[1,3,3] [4,1,3,5,2,7,6]=>[1,3,2,1] [4,1,3,5,6,2,7]=>[1,4,2] [4,1,3,5,6,7,2]=>[1,5,1] [4,1,3,5,7,2,6]=>[1,4,2] [4,1,3,5,7,6,2]=>[1,4,1,1] [4,1,3,6,2,5,7]=>[1,3,3] [4,1,3,6,2,7,5]=>[1,3,2,1] [4,1,3,6,5,2,7]=>[1,3,1,2] [4,1,3,6,5,7,2]=>[1,3,2,1] [4,1,3,6,7,2,5]=>[1,4,2] [4,1,3,6,7,5,2]=>[1,4,1,1] [4,1,3,7,2,5,6]=>[1,3,3] [4,1,3,7,2,6,5]=>[1,3,2,1] [4,1,3,7,5,2,6]=>[1,3,1,2] [4,1,3,7,5,6,2]=>[1,3,2,1] [4,1,3,7,6,2,5]=>[1,3,1,2] [4,1,3,7,6,5,2]=>[1,3,1,1,1] [4,1,5,2,3,6,7]=>[1,2,4] [4,1,5,2,3,7,6]=>[1,2,3,1] [4,1,5,2,6,3,7]=>[1,2,2,2] [4,1,5,2,6,7,3]=>[1,2,3,1] [4,1,5,2,7,3,6]=>[1,2,2,2] [4,1,5,2,7,6,3]=>[1,2,2,1,1] [4,1,5,3,2,6,7]=>[1,2,1,3] [4,1,5,3,2,7,6]=>[1,2,1,2,1] [4,1,5,3,6,2,7]=>[1,2,2,2] [4,1,5,3,6,7,2]=>[1,2,3,1] [4,1,5,3,7,2,6]=>[1,2,2,2] [4,1,5,3,7,6,2]=>[1,2,2,1,1] [4,1,5,6,2,3,7]=>[1,3,3] [4,1,5,6,2,7,3]=>[1,3,2,1] [4,1,5,6,3,2,7]=>[1,3,1,2] [4,1,5,6,3,7,2]=>[1,3,2,1] [4,1,5,6,7,2,3]=>[1,4,2] [4,1,5,6,7,3,2]=>[1,4,1,1] [4,1,5,7,2,3,6]=>[1,3,3] [4,1,5,7,2,6,3]=>[1,3,2,1] [4,1,5,7,3,2,6]=>[1,3,1,2] [4,1,5,7,3,6,2]=>[1,3,2,1] [4,1,5,7,6,2,3]=>[1,3,1,2] [4,1,5,7,6,3,2]=>[1,3,1,1,1] [4,1,6,2,3,5,7]=>[1,2,4] [4,1,6,2,3,7,5]=>[1,2,3,1] [4,1,6,2,5,3,7]=>[1,2,2,2] [4,1,6,2,5,7,3]=>[1,2,3,1] [4,1,6,2,7,3,5]=>[1,2,2,2] [4,1,6,2,7,5,3]=>[1,2,2,1,1] [4,1,6,3,2,5,7]=>[1,2,1,3] [4,1,6,3,2,7,5]=>[1,2,1,2,1] [4,1,6,3,5,2,7]=>[1,2,2,2] [4,1,6,3,5,7,2]=>[1,2,3,1] [4,1,6,3,7,2,5]=>[1,2,2,2] [4,1,6,3,7,5,2]=>[1,2,2,1,1] [4,1,6,5,2,3,7]=>[1,2,1,3] [4,1,6,5,2,7,3]=>[1,2,1,2,1] [4,1,6,5,3,2,7]=>[1,2,1,1,2] [4,1,6,5,3,7,2]=>[1,2,1,2,1] [4,1,6,5,7,2,3]=>[1,2,2,2] [4,1,6,5,7,3,2]=>[1,2,2,1,1] [4,1,6,7,2,3,5]=>[1,3,3] [4,1,6,7,2,5,3]=>[1,3,2,1] [4,1,6,7,3,2,5]=>[1,3,1,2] [4,1,6,7,3,5,2]=>[1,3,2,1] [4,1,6,7,5,2,3]=>[1,3,1,2] [4,1,6,7,5,3,2]=>[1,3,1,1,1] [4,1,7,2,3,5,6]=>[1,2,4] [4,1,7,2,3,6,5]=>[1,2,3,1] [4,1,7,2,5,3,6]=>[1,2,2,2] [4,1,7,2,5,6,3]=>[1,2,3,1] [4,1,7,2,6,3,5]=>[1,2,2,2] [4,1,7,2,6,5,3]=>[1,2,2,1,1] [4,1,7,3,2,5,6]=>[1,2,1,3] [4,1,7,3,2,6,5]=>[1,2,1,2,1] [4,1,7,3,5,2,6]=>[1,2,2,2] [4,1,7,3,5,6,2]=>[1,2,3,1] [4,1,7,3,6,2,5]=>[1,2,2,2] [4,1,7,3,6,5,2]=>[1,2,2,1,1] [4,1,7,5,2,3,6]=>[1,2,1,3] [4,1,7,5,2,6,3]=>[1,2,1,2,1] [4,1,7,5,3,2,6]=>[1,2,1,1,2] [4,1,7,5,3,6,2]=>[1,2,1,2,1] [4,1,7,5,6,2,3]=>[1,2,2,2] [4,1,7,5,6,3,2]=>[1,2,2,1,1] [4,1,7,6,2,3,5]=>[1,2,1,3] [4,1,7,6,2,5,3]=>[1,2,1,2,1] [4,1,7,6,3,2,5]=>[1,2,1,1,2] [4,1,7,6,3,5,2]=>[1,2,1,2,1] [4,1,7,6,5,2,3]=>[1,2,1,1,2] [4,1,7,6,5,3,2]=>[1,2,1,1,1,1] [4,2,1,3,5,6,7]=>[1,1,5] [4,2,1,3,5,7,6]=>[1,1,4,1] [4,2,1,3,6,5,7]=>[1,1,3,2] [4,2,1,3,6,7,5]=>[1,1,4,1] [4,2,1,3,7,5,6]=>[1,1,3,2] [4,2,1,3,7,6,5]=>[1,1,3,1,1] [4,2,1,5,3,6,7]=>[1,1,2,3] [4,2,1,5,3,7,6]=>[1,1,2,2,1] [4,2,1,5,6,3,7]=>[1,1,3,2] [4,2,1,5,6,7,3]=>[1,1,4,1] [4,2,1,5,7,3,6]=>[1,1,3,2] [4,2,1,5,7,6,3]=>[1,1,3,1,1] [4,2,1,6,3,5,7]=>[1,1,2,3] [4,2,1,6,3,7,5]=>[1,1,2,2,1] [4,2,1,6,5,3,7]=>[1,1,2,1,2] [4,2,1,6,5,7,3]=>[1,1,2,2,1] [4,2,1,6,7,3,5]=>[1,1,3,2] [4,2,1,6,7,5,3]=>[1,1,3,1,1] [4,2,1,7,3,5,6]=>[1,1,2,3] [4,2,1,7,3,6,5]=>[1,1,2,2,1] [4,2,1,7,5,3,6]=>[1,1,2,1,2] [4,2,1,7,5,6,3]=>[1,1,2,2,1] [4,2,1,7,6,3,5]=>[1,1,2,1,2] [4,2,1,7,6,5,3]=>[1,1,2,1,1,1] [4,2,3,1,5,6,7]=>[1,2,4] [4,2,3,1,5,7,6]=>[1,2,3,1] [4,2,3,1,6,5,7]=>[1,2,2,2] [4,2,3,1,6,7,5]=>[1,2,3,1] [4,2,3,1,7,5,6]=>[1,2,2,2] [4,2,3,1,7,6,5]=>[1,2,2,1,1] [4,2,3,5,1,6,7]=>[1,3,3] [4,2,3,5,1,7,6]=>[1,3,2,1] [4,2,3,5,6,1,7]=>[1,4,2] [4,2,3,5,6,7,1]=>[1,5,1] [4,2,3,5,7,1,6]=>[1,4,2] [4,2,3,5,7,6,1]=>[1,4,1,1] [4,2,3,6,1,5,7]=>[1,3,3] [4,2,3,6,1,7,5]=>[1,3,2,1] [4,2,3,6,5,1,7]=>[1,3,1,2] [4,2,3,6,5,7,1]=>[1,3,2,1] [4,2,3,6,7,1,5]=>[1,4,2] [4,2,3,6,7,5,1]=>[1,4,1,1] [4,2,3,7,1,5,6]=>[1,3,3] [4,2,3,7,1,6,5]=>[1,3,2,1] [4,2,3,7,5,1,6]=>[1,3,1,2] [4,2,3,7,5,6,1]=>[1,3,2,1] [4,2,3,7,6,1,5]=>[1,3,1,2] [4,2,3,7,6,5,1]=>[1,3,1,1,1] [4,2,5,1,3,6,7]=>[1,2,4] [4,2,5,1,3,7,6]=>[1,2,3,1] [4,2,5,1,6,3,7]=>[1,2,2,2] [4,2,5,1,6,7,3]=>[1,2,3,1] [4,2,5,1,7,3,6]=>[1,2,2,2] [4,2,5,1,7,6,3]=>[1,2,2,1,1] [4,2,5,3,1,6,7]=>[1,2,1,3] [4,2,5,3,1,7,6]=>[1,2,1,2,1] [4,2,5,3,6,1,7]=>[1,2,2,2] [4,2,5,3,6,7,1]=>[1,2,3,1] [4,2,5,3,7,1,6]=>[1,2,2,2] [4,2,5,3,7,6,1]=>[1,2,2,1,1] [4,2,5,6,1,3,7]=>[1,3,3] [4,2,5,6,1,7,3]=>[1,3,2,1] [4,2,5,6,3,1,7]=>[1,3,1,2] [4,2,5,6,3,7,1]=>[1,3,2,1] [4,2,5,6,7,1,3]=>[1,4,2] [4,2,5,6,7,3,1]=>[1,4,1,1] [4,2,5,7,1,3,6]=>[1,3,3] [4,2,5,7,1,6,3]=>[1,3,2,1] [4,2,5,7,3,1,6]=>[1,3,1,2] [4,2,5,7,3,6,1]=>[1,3,2,1] [4,2,5,7,6,1,3]=>[1,3,1,2] [4,2,5,7,6,3,1]=>[1,3,1,1,1] [4,2,6,1,3,5,7]=>[1,2,4] [4,2,6,1,3,7,5]=>[1,2,3,1] [4,2,6,1,5,3,7]=>[1,2,2,2] [4,2,6,1,5,7,3]=>[1,2,3,1] [4,2,6,1,7,3,5]=>[1,2,2,2] [4,2,6,1,7,5,3]=>[1,2,2,1,1] [4,2,6,3,1,5,7]=>[1,2,1,3] [4,2,6,3,1,7,5]=>[1,2,1,2,1] [4,2,6,3,5,1,7]=>[1,2,2,2] [4,2,6,3,5,7,1]=>[1,2,3,1] [4,2,6,3,7,1,5]=>[1,2,2,2] [4,2,6,3,7,5,1]=>[1,2,2,1,1] [4,2,6,5,1,3,7]=>[1,2,1,3] [4,2,6,5,1,7,3]=>[1,2,1,2,1] [4,2,6,5,3,1,7]=>[1,2,1,1,2] [4,2,6,5,3,7,1]=>[1,2,1,2,1] [4,2,6,5,7,1,3]=>[1,2,2,2] [4,2,6,5,7,3,1]=>[1,2,2,1,1] [4,2,6,7,1,3,5]=>[1,3,3] [4,2,6,7,1,5,3]=>[1,3,2,1] [4,2,6,7,3,1,5]=>[1,3,1,2] [4,2,6,7,3,5,1]=>[1,3,2,1] [4,2,6,7,5,1,3]=>[1,3,1,2] [4,2,6,7,5,3,1]=>[1,3,1,1,1] [4,2,7,1,3,5,6]=>[1,2,4] [4,2,7,1,3,6,5]=>[1,2,3,1] [4,2,7,1,5,3,6]=>[1,2,2,2] [4,2,7,1,5,6,3]=>[1,2,3,1] [4,2,7,1,6,3,5]=>[1,2,2,2] [4,2,7,1,6,5,3]=>[1,2,2,1,1] [4,2,7,3,1,5,6]=>[1,2,1,3] [4,2,7,3,1,6,5]=>[1,2,1,2,1] [4,2,7,3,5,1,6]=>[1,2,2,2] [4,2,7,3,5,6,1]=>[1,2,3,1] [4,2,7,3,6,1,5]=>[1,2,2,2] [4,2,7,3,6,5,1]=>[1,2,2,1,1] [4,2,7,5,1,3,6]=>[1,2,1,3] [4,2,7,5,1,6,3]=>[1,2,1,2,1] [4,2,7,5,3,1,6]=>[1,2,1,1,2] [4,2,7,5,3,6,1]=>[1,2,1,2,1] [4,2,7,5,6,1,3]=>[1,2,2,2] [4,2,7,5,6,3,1]=>[1,2,2,1,1] [4,2,7,6,1,3,5]=>[1,2,1,3] [4,2,7,6,1,5,3]=>[1,2,1,2,1] [4,2,7,6,3,1,5]=>[1,2,1,1,2] [4,2,7,6,3,5,1]=>[1,2,1,2,1] [4,2,7,6,5,1,3]=>[1,2,1,1,2] [4,2,7,6,5,3,1]=>[1,2,1,1,1,1] [4,3,1,2,5,6,7]=>[1,1,5] [4,3,1,2,5,7,6]=>[1,1,4,1] [4,3,1,2,6,5,7]=>[1,1,3,2] [4,3,1,2,6,7,5]=>[1,1,4,1] [4,3,1,2,7,5,6]=>[1,1,3,2] [4,3,1,2,7,6,5]=>[1,1,3,1,1] [4,3,1,5,2,6,7]=>[1,1,2,3] [4,3,1,5,2,7,6]=>[1,1,2,2,1] [4,3,1,5,6,2,7]=>[1,1,3,2] [4,3,1,5,6,7,2]=>[1,1,4,1] [4,3,1,5,7,2,6]=>[1,1,3,2] [4,3,1,5,7,6,2]=>[1,1,3,1,1] [4,3,1,6,2,5,7]=>[1,1,2,3] [4,3,1,6,2,7,5]=>[1,1,2,2,1] [4,3,1,6,5,2,7]=>[1,1,2,1,2] [4,3,1,6,5,7,2]=>[1,1,2,2,1] [4,3,1,6,7,2,5]=>[1,1,3,2] [4,3,1,6,7,5,2]=>[1,1,3,1,1] [4,3,1,7,2,5,6]=>[1,1,2,3] [4,3,1,7,2,6,5]=>[1,1,2,2,1] [4,3,1,7,5,2,6]=>[1,1,2,1,2] [4,3,1,7,5,6,2]=>[1,1,2,2,1] [4,3,1,7,6,2,5]=>[1,1,2,1,2] [4,3,1,7,6,5,2]=>[1,1,2,1,1,1] [4,3,2,1,5,6,7]=>[1,1,1,4] [4,3,2,1,5,7,6]=>[1,1,1,3,1] [4,3,2,1,6,5,7]=>[1,1,1,2,2] [4,3,2,1,6,7,5]=>[1,1,1,3,1] [4,3,2,1,7,5,6]=>[1,1,1,2,2] [4,3,2,1,7,6,5]=>[1,1,1,2,1,1] [4,3,2,5,1,6,7]=>[1,1,2,3] [4,3,2,5,1,7,6]=>[1,1,2,2,1] [4,3,2,5,6,1,7]=>[1,1,3,2] [4,3,2,5,6,7,1]=>[1,1,4,1] [4,3,2,5,7,1,6]=>[1,1,3,2] [4,3,2,5,7,6,1]=>[1,1,3,1,1] [4,3,2,6,1,5,7]=>[1,1,2,3] [4,3,2,6,1,7,5]=>[1,1,2,2,1] [4,3,2,6,5,1,7]=>[1,1,2,1,2] [4,3,2,6,5,7,1]=>[1,1,2,2,1] [4,3,2,6,7,1,5]=>[1,1,3,2] [4,3,2,6,7,5,1]=>[1,1,3,1,1] [4,3,2,7,1,5,6]=>[1,1,2,3] [4,3,2,7,1,6,5]=>[1,1,2,2,1] [4,3,2,7,5,1,6]=>[1,1,2,1,2] [4,3,2,7,5,6,1]=>[1,1,2,2,1] [4,3,2,7,6,1,5]=>[1,1,2,1,2] [4,3,2,7,6,5,1]=>[1,1,2,1,1,1] [4,3,5,1,2,6,7]=>[1,2,4] [4,3,5,1,2,7,6]=>[1,2,3,1] [4,3,5,1,6,2,7]=>[1,2,2,2] [4,3,5,1,6,7,2]=>[1,2,3,1] [4,3,5,1,7,2,6]=>[1,2,2,2] [4,3,5,1,7,6,2]=>[1,2,2,1,1] [4,3,5,2,1,6,7]=>[1,2,1,3] [4,3,5,2,1,7,6]=>[1,2,1,2,1] [4,3,5,2,6,1,7]=>[1,2,2,2] [4,3,5,2,6,7,1]=>[1,2,3,1] [4,3,5,2,7,1,6]=>[1,2,2,2] [4,3,5,2,7,6,1]=>[1,2,2,1,1] [4,3,5,6,1,2,7]=>[1,3,3] [4,3,5,6,1,7,2]=>[1,3,2,1] [4,3,5,6,2,1,7]=>[1,3,1,2] [4,3,5,6,2,7,1]=>[1,3,2,1] [4,3,5,6,7,1,2]=>[1,4,2] [4,3,5,6,7,2,1]=>[1,4,1,1] [4,3,5,7,1,2,6]=>[1,3,3] [4,3,5,7,1,6,2]=>[1,3,2,1] [4,3,5,7,2,1,6]=>[1,3,1,2] [4,3,5,7,2,6,1]=>[1,3,2,1] [4,3,5,7,6,1,2]=>[1,3,1,2] [4,3,5,7,6,2,1]=>[1,3,1,1,1] [4,3,6,1,2,5,7]=>[1,2,4] [4,3,6,1,2,7,5]=>[1,2,3,1] [4,3,6,1,5,2,7]=>[1,2,2,2] [4,3,6,1,5,7,2]=>[1,2,3,1] [4,3,6,1,7,2,5]=>[1,2,2,2] [4,3,6,1,7,5,2]=>[1,2,2,1,1] [4,3,6,2,1,5,7]=>[1,2,1,3] [4,3,6,2,1,7,5]=>[1,2,1,2,1] [4,3,6,2,5,1,7]=>[1,2,2,2] [4,3,6,2,5,7,1]=>[1,2,3,1] [4,3,6,2,7,1,5]=>[1,2,2,2] [4,3,6,2,7,5,1]=>[1,2,2,1,1] [4,3,6,5,1,2,7]=>[1,2,1,3] [4,3,6,5,1,7,2]=>[1,2,1,2,1] [4,3,6,5,2,1,7]=>[1,2,1,1,2] [4,3,6,5,2,7,1]=>[1,2,1,2,1] [4,3,6,5,7,1,2]=>[1,2,2,2] [4,3,6,5,7,2,1]=>[1,2,2,1,1] [4,3,6,7,1,2,5]=>[1,3,3] [4,3,6,7,1,5,2]=>[1,3,2,1] [4,3,6,7,2,1,5]=>[1,3,1,2] [4,3,6,7,2,5,1]=>[1,3,2,1] [4,3,6,7,5,1,2]=>[1,3,1,2] [4,3,6,7,5,2,1]=>[1,3,1,1,1] [4,3,7,1,2,5,6]=>[1,2,4] [4,3,7,1,2,6,5]=>[1,2,3,1] [4,3,7,1,5,2,6]=>[1,2,2,2] [4,3,7,1,5,6,2]=>[1,2,3,1] [4,3,7,1,6,2,5]=>[1,2,2,2] [4,3,7,1,6,5,2]=>[1,2,2,1,1] [4,3,7,2,1,5,6]=>[1,2,1,3] [4,3,7,2,1,6,5]=>[1,2,1,2,1] [4,3,7,2,5,1,6]=>[1,2,2,2] [4,3,7,2,5,6,1]=>[1,2,3,1] [4,3,7,2,6,1,5]=>[1,2,2,2] [4,3,7,2,6,5,1]=>[1,2,2,1,1] [4,3,7,5,1,2,6]=>[1,2,1,3] [4,3,7,5,1,6,2]=>[1,2,1,2,1] [4,3,7,5,2,1,6]=>[1,2,1,1,2] [4,3,7,5,2,6,1]=>[1,2,1,2,1] [4,3,7,5,6,1,2]=>[1,2,2,2] [4,3,7,5,6,2,1]=>[1,2,2,1,1] [4,3,7,6,1,2,5]=>[1,2,1,3] [4,3,7,6,1,5,2]=>[1,2,1,2,1] [4,3,7,6,2,1,5]=>[1,2,1,1,2] [4,3,7,6,2,5,1]=>[1,2,1,2,1] [4,3,7,6,5,1,2]=>[1,2,1,1,2] [4,3,7,6,5,2,1]=>[1,2,1,1,1,1] [4,5,1,2,3,6,7]=>[2,5] [4,5,1,2,3,7,6]=>[2,4,1] [4,5,1,2,6,3,7]=>[2,3,2] [4,5,1,2,6,7,3]=>[2,4,1] [4,5,1,2,7,3,6]=>[2,3,2] [4,5,1,2,7,6,3]=>[2,3,1,1] [4,5,1,3,2,6,7]=>[2,2,3] [4,5,1,3,2,7,6]=>[2,2,2,1] [4,5,1,3,6,2,7]=>[2,3,2] [4,5,1,3,6,7,2]=>[2,4,1] [4,5,1,3,7,2,6]=>[2,3,2] [4,5,1,3,7,6,2]=>[2,3,1,1] [4,5,1,6,2,3,7]=>[2,2,3] [4,5,1,6,2,7,3]=>[2,2,2,1] [4,5,1,6,3,2,7]=>[2,2,1,2] [4,5,1,6,3,7,2]=>[2,2,2,1] [4,5,1,6,7,2,3]=>[2,3,2] [4,5,1,6,7,3,2]=>[2,3,1,1] [4,5,1,7,2,3,6]=>[2,2,3] [4,5,1,7,2,6,3]=>[2,2,2,1] [4,5,1,7,3,2,6]=>[2,2,1,2] [4,5,1,7,3,6,2]=>[2,2,2,1] [4,5,1,7,6,2,3]=>[2,2,1,2] [4,5,1,7,6,3,2]=>[2,2,1,1,1] [4,5,2,1,3,6,7]=>[2,1,4] [4,5,2,1,3,7,6]=>[2,1,3,1] [4,5,2,1,6,3,7]=>[2,1,2,2] [4,5,2,1,6,7,3]=>[2,1,3,1] [4,5,2,1,7,3,6]=>[2,1,2,2] [4,5,2,1,7,6,3]=>[2,1,2,1,1] [4,5,2,3,1,6,7]=>[2,2,3] [4,5,2,3,1,7,6]=>[2,2,2,1] [4,5,2,3,6,1,7]=>[2,3,2] [4,5,2,3,6,7,1]=>[2,4,1] [4,5,2,3,7,1,6]=>[2,3,2] [4,5,2,3,7,6,1]=>[2,3,1,1] [4,5,2,6,1,3,7]=>[2,2,3] [4,5,2,6,1,7,3]=>[2,2,2,1] [4,5,2,6,3,1,7]=>[2,2,1,2] [4,5,2,6,3,7,1]=>[2,2,2,1] [4,5,2,6,7,1,3]=>[2,3,2] [4,5,2,6,7,3,1]=>[2,3,1,1] [4,5,2,7,1,3,6]=>[2,2,3] [4,5,2,7,1,6,3]=>[2,2,2,1] [4,5,2,7,3,1,6]=>[2,2,1,2] [4,5,2,7,3,6,1]=>[2,2,2,1] [4,5,2,7,6,1,3]=>[2,2,1,2] [4,5,2,7,6,3,1]=>[2,2,1,1,1] [4,5,3,1,2,6,7]=>[2,1,4] [4,5,3,1,2,7,6]=>[2,1,3,1] [4,5,3,1,6,2,7]=>[2,1,2,2] [4,5,3,1,6,7,2]=>[2,1,3,1] [4,5,3,1,7,2,6]=>[2,1,2,2] [4,5,3,1,7,6,2]=>[2,1,2,1,1] [4,5,3,2,1,6,7]=>[2,1,1,3] [4,5,3,2,1,7,6]=>[2,1,1,2,1] [4,5,3,2,6,1,7]=>[2,1,2,2] [4,5,3,2,6,7,1]=>[2,1,3,1] [4,5,3,2,7,1,6]=>[2,1,2,2] [4,5,3,2,7,6,1]=>[2,1,2,1,1] [4,5,3,6,1,2,7]=>[2,2,3] [4,5,3,6,1,7,2]=>[2,2,2,1] [4,5,3,6,2,1,7]=>[2,2,1,2] [4,5,3,6,2,7,1]=>[2,2,2,1] [4,5,3,6,7,1,2]=>[2,3,2] [4,5,3,6,7,2,1]=>[2,3,1,1] [4,5,3,7,1,2,6]=>[2,2,3] [4,5,3,7,1,6,2]=>[2,2,2,1] [4,5,3,7,2,1,6]=>[2,2,1,2] [4,5,3,7,2,6,1]=>[2,2,2,1] [4,5,3,7,6,1,2]=>[2,2,1,2] [4,5,3,7,6,2,1]=>[2,2,1,1,1] [4,5,6,1,2,3,7]=>[3,4] [4,5,6,1,2,7,3]=>[3,3,1] [4,5,6,1,3,2,7]=>[3,2,2] [4,5,6,1,3,7,2]=>[3,3,1] [4,5,6,1,7,2,3]=>[3,2,2] [4,5,6,1,7,3,2]=>[3,2,1,1] [4,5,6,2,1,3,7]=>[3,1,3] [4,5,6,2,1,7,3]=>[3,1,2,1] [4,5,6,2,3,1,7]=>[3,2,2] [4,5,6,2,3,7,1]=>[3,3,1] [4,5,6,2,7,1,3]=>[3,2,2] [4,5,6,2,7,3,1]=>[3,2,1,1] [4,5,6,3,1,2,7]=>[3,1,3] [4,5,6,3,1,7,2]=>[3,1,2,1] [4,5,6,3,2,1,7]=>[3,1,1,2] [4,5,6,3,2,7,1]=>[3,1,2,1] [4,5,6,3,7,1,2]=>[3,2,2] [4,5,6,3,7,2,1]=>[3,2,1,1] [4,5,6,7,1,2,3]=>[4,3] [4,5,6,7,1,3,2]=>[4,2,1] [4,5,6,7,2,1,3]=>[4,1,2] [4,5,6,7,2,3,1]=>[4,2,1] [4,5,6,7,3,1,2]=>[4,1,2] [4,5,6,7,3,2,1]=>[4,1,1,1] [4,5,7,1,2,3,6]=>[3,4] [4,5,7,1,2,6,3]=>[3,3,1] [4,5,7,1,3,2,6]=>[3,2,2] [4,5,7,1,3,6,2]=>[3,3,1] [4,5,7,1,6,2,3]=>[3,2,2] [4,5,7,1,6,3,2]=>[3,2,1,1] [4,5,7,2,1,3,6]=>[3,1,3] [4,5,7,2,1,6,3]=>[3,1,2,1] [4,5,7,2,3,1,6]=>[3,2,2] [4,5,7,2,3,6,1]=>[3,3,1] [4,5,7,2,6,1,3]=>[3,2,2] [4,5,7,2,6,3,1]=>[3,2,1,1] [4,5,7,3,1,2,6]=>[3,1,3] [4,5,7,3,1,6,2]=>[3,1,2,1] [4,5,7,3,2,1,6]=>[3,1,1,2] [4,5,7,3,2,6,1]=>[3,1,2,1] [4,5,7,3,6,1,2]=>[3,2,2] [4,5,7,3,6,2,1]=>[3,2,1,1] [4,5,7,6,1,2,3]=>[3,1,3] [4,5,7,6,1,3,2]=>[3,1,2,1] [4,5,7,6,2,1,3]=>[3,1,1,2] [4,5,7,6,2,3,1]=>[3,1,2,1] [4,5,7,6,3,1,2]=>[3,1,1,2] [4,5,7,6,3,2,1]=>[3,1,1,1,1] [4,6,1,2,3,5,7]=>[2,5] [4,6,1,2,3,7,5]=>[2,4,1] [4,6,1,2,5,3,7]=>[2,3,2] [4,6,1,2,5,7,3]=>[2,4,1] [4,6,1,2,7,3,5]=>[2,3,2] [4,6,1,2,7,5,3]=>[2,3,1,1] [4,6,1,3,2,5,7]=>[2,2,3] [4,6,1,3,2,7,5]=>[2,2,2,1] [4,6,1,3,5,2,7]=>[2,3,2] [4,6,1,3,5,7,2]=>[2,4,1] [4,6,1,3,7,2,5]=>[2,3,2] [4,6,1,3,7,5,2]=>[2,3,1,1] [4,6,1,5,2,3,7]=>[2,2,3] [4,6,1,5,2,7,3]=>[2,2,2,1] [4,6,1,5,3,2,7]=>[2,2,1,2] [4,6,1,5,3,7,2]=>[2,2,2,1] [4,6,1,5,7,2,3]=>[2,3,2] [4,6,1,5,7,3,2]=>[2,3,1,1] [4,6,1,7,2,3,5]=>[2,2,3] [4,6,1,7,2,5,3]=>[2,2,2,1] [4,6,1,7,3,2,5]=>[2,2,1,2] [4,6,1,7,3,5,2]=>[2,2,2,1] [4,6,1,7,5,2,3]=>[2,2,1,2] [4,6,1,7,5,3,2]=>[2,2,1,1,1] [4,6,2,1,3,5,7]=>[2,1,4] [4,6,2,1,3,7,5]=>[2,1,3,1] [4,6,2,1,5,3,7]=>[2,1,2,2] [4,6,2,1,5,7,3]=>[2,1,3,1] [4,6,2,1,7,3,5]=>[2,1,2,2] [4,6,2,1,7,5,3]=>[2,1,2,1,1] [4,6,2,3,1,5,7]=>[2,2,3] [4,6,2,3,1,7,5]=>[2,2,2,1] [4,6,2,3,5,1,7]=>[2,3,2] [4,6,2,3,5,7,1]=>[2,4,1] [4,6,2,3,7,1,5]=>[2,3,2] [4,6,2,3,7,5,1]=>[2,3,1,1] [4,6,2,5,1,3,7]=>[2,2,3] [4,6,2,5,1,7,3]=>[2,2,2,1] [4,6,2,5,3,1,7]=>[2,2,1,2] [4,6,2,5,3,7,1]=>[2,2,2,1] [4,6,2,5,7,1,3]=>[2,3,2] [4,6,2,5,7,3,1]=>[2,3,1,1] [4,6,2,7,1,3,5]=>[2,2,3] [4,6,2,7,1,5,3]=>[2,2,2,1] [4,6,2,7,3,1,5]=>[2,2,1,2] [4,6,2,7,3,5,1]=>[2,2,2,1] [4,6,2,7,5,1,3]=>[2,2,1,2] [4,6,2,7,5,3,1]=>[2,2,1,1,1] [4,6,3,1,2,5,7]=>[2,1,4] [4,6,3,1,2,7,5]=>[2,1,3,1] [4,6,3,1,5,2,7]=>[2,1,2,2] [4,6,3,1,5,7,2]=>[2,1,3,1] [4,6,3,1,7,2,5]=>[2,1,2,2] [4,6,3,1,7,5,2]=>[2,1,2,1,1] [4,6,3,2,1,5,7]=>[2,1,1,3] [4,6,3,2,1,7,5]=>[2,1,1,2,1] [4,6,3,2,5,1,7]=>[2,1,2,2] [4,6,3,2,5,7,1]=>[2,1,3,1] [4,6,3,2,7,1,5]=>[2,1,2,2] [4,6,3,2,7,5,1]=>[2,1,2,1,1] [4,6,3,5,1,2,7]=>[2,2,3] [4,6,3,5,1,7,2]=>[2,2,2,1] [4,6,3,5,2,1,7]=>[2,2,1,2] [4,6,3,5,2,7,1]=>[2,2,2,1] [4,6,3,5,7,1,2]=>[2,3,2] [4,6,3,5,7,2,1]=>[2,3,1,1] [4,6,3,7,1,2,5]=>[2,2,3] [4,6,3,7,1,5,2]=>[2,2,2,1] [4,6,3,7,2,1,5]=>[2,2,1,2] [4,6,3,7,2,5,1]=>[2,2,2,1] [4,6,3,7,5,1,2]=>[2,2,1,2] [4,6,3,7,5,2,1]=>[2,2,1,1,1] [4,6,5,1,2,3,7]=>[2,1,4] [4,6,5,1,2,7,3]=>[2,1,3,1] [4,6,5,1,3,2,7]=>[2,1,2,2] [4,6,5,1,3,7,2]=>[2,1,3,1] [4,6,5,1,7,2,3]=>[2,1,2,2] [4,6,5,1,7,3,2]=>[2,1,2,1,1] [4,6,5,2,1,3,7]=>[2,1,1,3] [4,6,5,2,1,7,3]=>[2,1,1,2,1] [4,6,5,2,3,1,7]=>[2,1,2,2] [4,6,5,2,3,7,1]=>[2,1,3,1] [4,6,5,2,7,1,3]=>[2,1,2,2] [4,6,5,2,7,3,1]=>[2,1,2,1,1] [4,6,5,3,1,2,7]=>[2,1,1,3] [4,6,5,3,1,7,2]=>[2,1,1,2,1] [4,6,5,3,2,1,7]=>[2,1,1,1,2] [4,6,5,3,2,7,1]=>[2,1,1,2,1] [4,6,5,3,7,1,2]=>[2,1,2,2] [4,6,5,3,7,2,1]=>[2,1,2,1,1] [4,6,5,7,1,2,3]=>[2,2,3] [4,6,5,7,1,3,2]=>[2,2,2,1] [4,6,5,7,2,1,3]=>[2,2,1,2] [4,6,5,7,2,3,1]=>[2,2,2,1] [4,6,5,7,3,1,2]=>[2,2,1,2] [4,6,5,7,3,2,1]=>[2,2,1,1,1] [4,6,7,1,2,3,5]=>[3,4] [4,6,7,1,2,5,3]=>[3,3,1] [4,6,7,1,3,2,5]=>[3,2,2] [4,6,7,1,3,5,2]=>[3,3,1] [4,6,7,1,5,2,3]=>[3,2,2] [4,6,7,1,5,3,2]=>[3,2,1,1] [4,6,7,2,1,3,5]=>[3,1,3] [4,6,7,2,1,5,3]=>[3,1,2,1] [4,6,7,2,3,1,5]=>[3,2,2] [4,6,7,2,3,5,1]=>[3,3,1] [4,6,7,2,5,1,3]=>[3,2,2] [4,6,7,2,5,3,1]=>[3,2,1,1] [4,6,7,3,1,2,5]=>[3,1,3] [4,6,7,3,1,5,2]=>[3,1,2,1] [4,6,7,3,2,1,5]=>[3,1,1,2] [4,6,7,3,2,5,1]=>[3,1,2,1] [4,6,7,3,5,1,2]=>[3,2,2] [4,6,7,3,5,2,1]=>[3,2,1,1] [4,6,7,5,1,2,3]=>[3,1,3] [4,6,7,5,1,3,2]=>[3,1,2,1] [4,6,7,5,2,1,3]=>[3,1,1,2] [4,6,7,5,2,3,1]=>[3,1,2,1] [4,6,7,5,3,1,2]=>[3,1,1,2] [4,6,7,5,3,2,1]=>[3,1,1,1,1] [4,7,1,2,3,5,6]=>[2,5] [4,7,1,2,3,6,5]=>[2,4,1] [4,7,1,2,5,3,6]=>[2,3,2] [4,7,1,2,5,6,3]=>[2,4,1] [4,7,1,2,6,3,5]=>[2,3,2] [4,7,1,2,6,5,3]=>[2,3,1,1] [4,7,1,3,2,5,6]=>[2,2,3] [4,7,1,3,2,6,5]=>[2,2,2,1] [4,7,1,3,5,2,6]=>[2,3,2] [4,7,1,3,5,6,2]=>[2,4,1] [4,7,1,3,6,2,5]=>[2,3,2] [4,7,1,3,6,5,2]=>[2,3,1,1] [4,7,1,5,2,3,6]=>[2,2,3] [4,7,1,5,2,6,3]=>[2,2,2,1] [4,7,1,5,3,2,6]=>[2,2,1,2] [4,7,1,5,3,6,2]=>[2,2,2,1] [4,7,1,5,6,2,3]=>[2,3,2] [4,7,1,5,6,3,2]=>[2,3,1,1] [4,7,1,6,2,3,5]=>[2,2,3] [4,7,1,6,2,5,3]=>[2,2,2,1] [4,7,1,6,3,2,5]=>[2,2,1,2] [4,7,1,6,3,5,2]=>[2,2,2,1] [4,7,1,6,5,2,3]=>[2,2,1,2] [4,7,1,6,5,3,2]=>[2,2,1,1,1] [4,7,2,1,3,5,6]=>[2,1,4] [4,7,2,1,3,6,5]=>[2,1,3,1] [4,7,2,1,5,3,6]=>[2,1,2,2] [4,7,2,1,5,6,3]=>[2,1,3,1] [4,7,2,1,6,3,5]=>[2,1,2,2] [4,7,2,1,6,5,3]=>[2,1,2,1,1] [4,7,2,3,1,5,6]=>[2,2,3] [4,7,2,3,1,6,5]=>[2,2,2,1] [4,7,2,3,5,1,6]=>[2,3,2] [4,7,2,3,5,6,1]=>[2,4,1] [4,7,2,3,6,1,5]=>[2,3,2] [4,7,2,3,6,5,1]=>[2,3,1,1] [4,7,2,5,1,3,6]=>[2,2,3] [4,7,2,5,1,6,3]=>[2,2,2,1] [4,7,2,5,3,1,6]=>[2,2,1,2] [4,7,2,5,3,6,1]=>[2,2,2,1] [4,7,2,5,6,1,3]=>[2,3,2] [4,7,2,5,6,3,1]=>[2,3,1,1] [4,7,2,6,1,3,5]=>[2,2,3] [4,7,2,6,1,5,3]=>[2,2,2,1] [4,7,2,6,3,1,5]=>[2,2,1,2] [4,7,2,6,3,5,1]=>[2,2,2,1] [4,7,2,6,5,1,3]=>[2,2,1,2] [4,7,2,6,5,3,1]=>[2,2,1,1,1] [4,7,3,1,2,5,6]=>[2,1,4] [4,7,3,1,2,6,5]=>[2,1,3,1] [4,7,3,1,5,2,6]=>[2,1,2,2] [4,7,3,1,5,6,2]=>[2,1,3,1] [4,7,3,1,6,2,5]=>[2,1,2,2] [4,7,3,1,6,5,2]=>[2,1,2,1,1] [4,7,3,2,1,5,6]=>[2,1,1,3] [4,7,3,2,1,6,5]=>[2,1,1,2,1] [4,7,3,2,5,1,6]=>[2,1,2,2] [4,7,3,2,5,6,1]=>[2,1,3,1] [4,7,3,2,6,1,5]=>[2,1,2,2] [4,7,3,2,6,5,1]=>[2,1,2,1,1] [4,7,3,5,1,2,6]=>[2,2,3] [4,7,3,5,1,6,2]=>[2,2,2,1] [4,7,3,5,2,1,6]=>[2,2,1,2] [4,7,3,5,2,6,1]=>[2,2,2,1] [4,7,3,5,6,1,2]=>[2,3,2] [4,7,3,5,6,2,1]=>[2,3,1,1] [4,7,3,6,1,2,5]=>[2,2,3] [4,7,3,6,1,5,2]=>[2,2,2,1] [4,7,3,6,2,1,5]=>[2,2,1,2] [4,7,3,6,2,5,1]=>[2,2,2,1] [4,7,3,6,5,1,2]=>[2,2,1,2] [4,7,3,6,5,2,1]=>[2,2,1,1,1] [4,7,5,1,2,3,6]=>[2,1,4] [4,7,5,1,2,6,3]=>[2,1,3,1] [4,7,5,1,3,2,6]=>[2,1,2,2] [4,7,5,1,3,6,2]=>[2,1,3,1] [4,7,5,1,6,2,3]=>[2,1,2,2] [4,7,5,1,6,3,2]=>[2,1,2,1,1] [4,7,5,2,1,3,6]=>[2,1,1,3] [4,7,5,2,1,6,3]=>[2,1,1,2,1] [4,7,5,2,3,1,6]=>[2,1,2,2] [4,7,5,2,3,6,1]=>[2,1,3,1] [4,7,5,2,6,1,3]=>[2,1,2,2] [4,7,5,2,6,3,1]=>[2,1,2,1,1] [4,7,5,3,1,2,6]=>[2,1,1,3] [4,7,5,3,1,6,2]=>[2,1,1,2,1] [4,7,5,3,2,1,6]=>[2,1,1,1,2] [4,7,5,3,2,6,1]=>[2,1,1,2,1] [4,7,5,3,6,1,2]=>[2,1,2,2] [4,7,5,3,6,2,1]=>[2,1,2,1,1] [4,7,5,6,1,2,3]=>[2,2,3] [4,7,5,6,1,3,2]=>[2,2,2,1] [4,7,5,6,2,1,3]=>[2,2,1,2] [4,7,5,6,2,3,1]=>[2,2,2,1] [4,7,5,6,3,1,2]=>[2,2,1,2] [4,7,5,6,3,2,1]=>[2,2,1,1,1] [4,7,6,1,2,3,5]=>[2,1,4] [4,7,6,1,2,5,3]=>[2,1,3,1] [4,7,6,1,3,2,5]=>[2,1,2,2] [4,7,6,1,3,5,2]=>[2,1,3,1] [4,7,6,1,5,2,3]=>[2,1,2,2] [4,7,6,1,5,3,2]=>[2,1,2,1,1] [4,7,6,2,1,3,5]=>[2,1,1,3] [4,7,6,2,1,5,3]=>[2,1,1,2,1] [4,7,6,2,3,1,5]=>[2,1,2,2] [4,7,6,2,3,5,1]=>[2,1,3,1] [4,7,6,2,5,1,3]=>[2,1,2,2] [4,7,6,2,5,3,1]=>[2,1,2,1,1] [4,7,6,3,1,2,5]=>[2,1,1,3] [4,7,6,3,1,5,2]=>[2,1,1,2,1] [4,7,6,3,2,1,5]=>[2,1,1,1,2] [4,7,6,3,2,5,1]=>[2,1,1,2,1] [4,7,6,3,5,1,2]=>[2,1,2,2] [4,7,6,3,5,2,1]=>[2,1,2,1,1] [4,7,6,5,1,2,3]=>[2,1,1,3] [4,7,6,5,1,3,2]=>[2,1,1,2,1] [4,7,6,5,2,1,3]=>[2,1,1,1,2] [4,7,6,5,2,3,1]=>[2,1,1,2,1] [4,7,6,5,3,1,2]=>[2,1,1,1,2] [4,7,6,5,3,2,1]=>[2,1,1,1,1,1] [5,1,2,3,4,6,7]=>[1,6] [5,1,2,3,4,7,6]=>[1,5,1] [5,1,2,3,6,4,7]=>[1,4,2] [5,1,2,3,6,7,4]=>[1,5,1] [5,1,2,3,7,4,6]=>[1,4,2] [5,1,2,3,7,6,4]=>[1,4,1,1] [5,1,2,4,3,6,7]=>[1,3,3] [5,1,2,4,3,7,6]=>[1,3,2,1] [5,1,2,4,6,3,7]=>[1,4,2] [5,1,2,4,6,7,3]=>[1,5,1] [5,1,2,4,7,3,6]=>[1,4,2] [5,1,2,4,7,6,3]=>[1,4,1,1] [5,1,2,6,3,4,7]=>[1,3,3] [5,1,2,6,3,7,4]=>[1,3,2,1] [5,1,2,6,4,3,7]=>[1,3,1,2] [5,1,2,6,4,7,3]=>[1,3,2,1] [5,1,2,6,7,3,4]=>[1,4,2] [5,1,2,6,7,4,3]=>[1,4,1,1] [5,1,2,7,3,4,6]=>[1,3,3] [5,1,2,7,3,6,4]=>[1,3,2,1] [5,1,2,7,4,3,6]=>[1,3,1,2] [5,1,2,7,4,6,3]=>[1,3,2,1] [5,1,2,7,6,3,4]=>[1,3,1,2] [5,1,2,7,6,4,3]=>[1,3,1,1,1] [5,1,3,2,4,6,7]=>[1,2,4] [5,1,3,2,4,7,6]=>[1,2,3,1] [5,1,3,2,6,4,7]=>[1,2,2,2] [5,1,3,2,6,7,4]=>[1,2,3,1] [5,1,3,2,7,4,6]=>[1,2,2,2] [5,1,3,2,7,6,4]=>[1,2,2,1,1] [5,1,3,4,2,6,7]=>[1,3,3] [5,1,3,4,2,7,6]=>[1,3,2,1] [5,1,3,4,6,2,7]=>[1,4,2] [5,1,3,4,6,7,2]=>[1,5,1] [5,1,3,4,7,2,6]=>[1,4,2] [5,1,3,4,7,6,2]=>[1,4,1,1] [5,1,3,6,2,4,7]=>[1,3,3] [5,1,3,6,2,7,4]=>[1,3,2,1] [5,1,3,6,4,2,7]=>[1,3,1,2] [5,1,3,6,4,7,2]=>[1,3,2,1] [5,1,3,6,7,2,4]=>[1,4,2] [5,1,3,6,7,4,2]=>[1,4,1,1] [5,1,3,7,2,4,6]=>[1,3,3] [5,1,3,7,2,6,4]=>[1,3,2,1] [5,1,3,7,4,2,6]=>[1,3,1,2] [5,1,3,7,4,6,2]=>[1,3,2,1] [5,1,3,7,6,2,4]=>[1,3,1,2] [5,1,3,7,6,4,2]=>[1,3,1,1,1] [5,1,4,2,3,6,7]=>[1,2,4] [5,1,4,2,3,7,6]=>[1,2,3,1] [5,1,4,2,6,3,7]=>[1,2,2,2] [5,1,4,2,6,7,3]=>[1,2,3,1] [5,1,4,2,7,3,6]=>[1,2,2,2] [5,1,4,2,7,6,3]=>[1,2,2,1,1] [5,1,4,3,2,6,7]=>[1,2,1,3] [5,1,4,3,2,7,6]=>[1,2,1,2,1] [5,1,4,3,6,2,7]=>[1,2,2,2] [5,1,4,3,6,7,2]=>[1,2,3,1] [5,1,4,3,7,2,6]=>[1,2,2,2] [5,1,4,3,7,6,2]=>[1,2,2,1,1] [5,1,4,6,2,3,7]=>[1,3,3] [5,1,4,6,2,7,3]=>[1,3,2,1] [5,1,4,6,3,2,7]=>[1,3,1,2] [5,1,4,6,3,7,2]=>[1,3,2,1] [5,1,4,6,7,2,3]=>[1,4,2] [5,1,4,6,7,3,2]=>[1,4,1,1] [5,1,4,7,2,3,6]=>[1,3,3] [5,1,4,7,2,6,3]=>[1,3,2,1] [5,1,4,7,3,2,6]=>[1,3,1,2] [5,1,4,7,3,6,2]=>[1,3,2,1] [5,1,4,7,6,2,3]=>[1,3,1,2] [5,1,4,7,6,3,2]=>[1,3,1,1,1] [5,1,6,2,3,4,7]=>[1,2,4] [5,1,6,2,3,7,4]=>[1,2,3,1] [5,1,6,2,4,3,7]=>[1,2,2,2] [5,1,6,2,4,7,3]=>[1,2,3,1] [5,1,6,2,7,3,4]=>[1,2,2,2] [5,1,6,2,7,4,3]=>[1,2,2,1,1] [5,1,6,3,2,4,7]=>[1,2,1,3] [5,1,6,3,2,7,4]=>[1,2,1,2,1] [5,1,6,3,4,2,7]=>[1,2,2,2] [5,1,6,3,4,7,2]=>[1,2,3,1] [5,1,6,3,7,2,4]=>[1,2,2,2] [5,1,6,3,7,4,2]=>[1,2,2,1,1] [5,1,6,4,2,3,7]=>[1,2,1,3] [5,1,6,4,2,7,3]=>[1,2,1,2,1] [5,1,6,4,3,2,7]=>[1,2,1,1,2] [5,1,6,4,3,7,2]=>[1,2,1,2,1] [5,1,6,4,7,2,3]=>[1,2,2,2] [5,1,6,4,7,3,2]=>[1,2,2,1,1] [5,1,6,7,2,3,4]=>[1,3,3] [5,1,6,7,2,4,3]=>[1,3,2,1] [5,1,6,7,3,2,4]=>[1,3,1,2] [5,1,6,7,3,4,2]=>[1,3,2,1] [5,1,6,7,4,2,3]=>[1,3,1,2] [5,1,6,7,4,3,2]=>[1,3,1,1,1] [5,1,7,2,3,4,6]=>[1,2,4] [5,1,7,2,3,6,4]=>[1,2,3,1] [5,1,7,2,4,3,6]=>[1,2,2,2] [5,1,7,2,4,6,3]=>[1,2,3,1] [5,1,7,2,6,3,4]=>[1,2,2,2] [5,1,7,2,6,4,3]=>[1,2,2,1,1] [5,1,7,3,2,4,6]=>[1,2,1,3] [5,1,7,3,2,6,4]=>[1,2,1,2,1] [5,1,7,3,4,2,6]=>[1,2,2,2] [5,1,7,3,4,6,2]=>[1,2,3,1] [5,1,7,3,6,2,4]=>[1,2,2,2] [5,1,7,3,6,4,2]=>[1,2,2,1,1] [5,1,7,4,2,3,6]=>[1,2,1,3] [5,1,7,4,2,6,3]=>[1,2,1,2,1] [5,1,7,4,3,2,6]=>[1,2,1,1,2] [5,1,7,4,3,6,2]=>[1,2,1,2,1] [5,1,7,4,6,2,3]=>[1,2,2,2] [5,1,7,4,6,3,2]=>[1,2,2,1,1] [5,1,7,6,2,3,4]=>[1,2,1,3] [5,1,7,6,2,4,3]=>[1,2,1,2,1] [5,1,7,6,3,2,4]=>[1,2,1,1,2] [5,1,7,6,3,4,2]=>[1,2,1,2,1] [5,1,7,6,4,2,3]=>[1,2,1,1,2] [5,1,7,6,4,3,2]=>[1,2,1,1,1,1] [5,2,1,3,4,6,7]=>[1,1,5] [5,2,1,3,4,7,6]=>[1,1,4,1] [5,2,1,3,6,4,7]=>[1,1,3,2] [5,2,1,3,6,7,4]=>[1,1,4,1] [5,2,1,3,7,4,6]=>[1,1,3,2] [5,2,1,3,7,6,4]=>[1,1,3,1,1] [5,2,1,4,3,6,7]=>[1,1,2,3] [5,2,1,4,3,7,6]=>[1,1,2,2,1] [5,2,1,4,6,3,7]=>[1,1,3,2] [5,2,1,4,6,7,3]=>[1,1,4,1] [5,2,1,4,7,3,6]=>[1,1,3,2] [5,2,1,4,7,6,3]=>[1,1,3,1,1] [5,2,1,6,3,4,7]=>[1,1,2,3] [5,2,1,6,3,7,4]=>[1,1,2,2,1] [5,2,1,6,4,3,7]=>[1,1,2,1,2] [5,2,1,6,4,7,3]=>[1,1,2,2,1] [5,2,1,6,7,3,4]=>[1,1,3,2] [5,2,1,6,7,4,3]=>[1,1,3,1,1] [5,2,1,7,3,4,6]=>[1,1,2,3] [5,2,1,7,3,6,4]=>[1,1,2,2,1] [5,2,1,7,4,3,6]=>[1,1,2,1,2] [5,2,1,7,4,6,3]=>[1,1,2,2,1] [5,2,1,7,6,3,4]=>[1,1,2,1,2] [5,2,1,7,6,4,3]=>[1,1,2,1,1,1] [5,2,3,1,4,6,7]=>[1,2,4] [5,2,3,1,4,7,6]=>[1,2,3,1] [5,2,3,1,6,4,7]=>[1,2,2,2] [5,2,3,1,6,7,4]=>[1,2,3,1] [5,2,3,1,7,4,6]=>[1,2,2,2] [5,2,3,1,7,6,4]=>[1,2,2,1,1] [5,2,3,4,1,6,7]=>[1,3,3] [5,2,3,4,1,7,6]=>[1,3,2,1] [5,2,3,4,6,1,7]=>[1,4,2] [5,2,3,4,6,7,1]=>[1,5,1] [5,2,3,4,7,1,6]=>[1,4,2] [5,2,3,4,7,6,1]=>[1,4,1,1] [5,2,3,6,1,4,7]=>[1,3,3] [5,2,3,6,1,7,4]=>[1,3,2,1] [5,2,3,6,4,1,7]=>[1,3,1,2] [5,2,3,6,4,7,1]=>[1,3,2,1] [5,2,3,6,7,1,4]=>[1,4,2] [5,2,3,6,7,4,1]=>[1,4,1,1] [5,2,3,7,1,4,6]=>[1,3,3] [5,2,3,7,1,6,4]=>[1,3,2,1] [5,2,3,7,4,1,6]=>[1,3,1,2] [5,2,3,7,4,6,1]=>[1,3,2,1] [5,2,3,7,6,1,4]=>[1,3,1,2] [5,2,3,7,6,4,1]=>[1,3,1,1,1] [5,2,4,1,3,6,7]=>[1,2,4] [5,2,4,1,3,7,6]=>[1,2,3,1] [5,2,4,1,6,3,7]=>[1,2,2,2] [5,2,4,1,6,7,3]=>[1,2,3,1] [5,2,4,1,7,3,6]=>[1,2,2,2] [5,2,4,1,7,6,3]=>[1,2,2,1,1] [5,2,4,3,1,6,7]=>[1,2,1,3] [5,2,4,3,1,7,6]=>[1,2,1,2,1] [5,2,4,3,6,1,7]=>[1,2,2,2] [5,2,4,3,6,7,1]=>[1,2,3,1] [5,2,4,3,7,1,6]=>[1,2,2,2] [5,2,4,3,7,6,1]=>[1,2,2,1,1] [5,2,4,6,1,3,7]=>[1,3,3] [5,2,4,6,1,7,3]=>[1,3,2,1] [5,2,4,6,3,1,7]=>[1,3,1,2] [5,2,4,6,3,7,1]=>[1,3,2,1] [5,2,4,6,7,1,3]=>[1,4,2] [5,2,4,6,7,3,1]=>[1,4,1,1] [5,2,4,7,1,3,6]=>[1,3,3] [5,2,4,7,1,6,3]=>[1,3,2,1] [5,2,4,7,3,1,6]=>[1,3,1,2] [5,2,4,7,3,6,1]=>[1,3,2,1] [5,2,4,7,6,1,3]=>[1,3,1,2] [5,2,4,7,6,3,1]=>[1,3,1,1,1] [5,2,6,1,3,4,7]=>[1,2,4] [5,2,6,1,3,7,4]=>[1,2,3,1] [5,2,6,1,4,3,7]=>[1,2,2,2] [5,2,6,1,4,7,3]=>[1,2,3,1] [5,2,6,1,7,3,4]=>[1,2,2,2] [5,2,6,1,7,4,3]=>[1,2,2,1,1] [5,2,6,3,1,4,7]=>[1,2,1,3] [5,2,6,3,1,7,4]=>[1,2,1,2,1] [5,2,6,3,4,1,7]=>[1,2,2,2] [5,2,6,3,4,7,1]=>[1,2,3,1] [5,2,6,3,7,1,4]=>[1,2,2,2] [5,2,6,3,7,4,1]=>[1,2,2,1,1] [5,2,6,4,1,3,7]=>[1,2,1,3] [5,2,6,4,1,7,3]=>[1,2,1,2,1] [5,2,6,4,3,1,7]=>[1,2,1,1,2] [5,2,6,4,3,7,1]=>[1,2,1,2,1] [5,2,6,4,7,1,3]=>[1,2,2,2] [5,2,6,4,7,3,1]=>[1,2,2,1,1] [5,2,6,7,1,3,4]=>[1,3,3] [5,2,6,7,1,4,3]=>[1,3,2,1] [5,2,6,7,3,1,4]=>[1,3,1,2] [5,2,6,7,3,4,1]=>[1,3,2,1] [5,2,6,7,4,1,3]=>[1,3,1,2] [5,2,6,7,4,3,1]=>[1,3,1,1,1] [5,2,7,1,3,4,6]=>[1,2,4] [5,2,7,1,3,6,4]=>[1,2,3,1] [5,2,7,1,4,3,6]=>[1,2,2,2] [5,2,7,1,4,6,3]=>[1,2,3,1] [5,2,7,1,6,3,4]=>[1,2,2,2] [5,2,7,1,6,4,3]=>[1,2,2,1,1] [5,2,7,3,1,4,6]=>[1,2,1,3] [5,2,7,3,1,6,4]=>[1,2,1,2,1] [5,2,7,3,4,1,6]=>[1,2,2,2] [5,2,7,3,4,6,1]=>[1,2,3,1] [5,2,7,3,6,1,4]=>[1,2,2,2] [5,2,7,3,6,4,1]=>[1,2,2,1,1] [5,2,7,4,1,3,6]=>[1,2,1,3] [5,2,7,4,1,6,3]=>[1,2,1,2,1] [5,2,7,4,3,1,6]=>[1,2,1,1,2] [5,2,7,4,3,6,1]=>[1,2,1,2,1] [5,2,7,4,6,1,3]=>[1,2,2,2] [5,2,7,4,6,3,1]=>[1,2,2,1,1] [5,2,7,6,1,3,4]=>[1,2,1,3] [5,2,7,6,1,4,3]=>[1,2,1,2,1] [5,2,7,6,3,1,4]=>[1,2,1,1,2] [5,2,7,6,3,4,1]=>[1,2,1,2,1] [5,2,7,6,4,1,3]=>[1,2,1,1,2] [5,2,7,6,4,3,1]=>[1,2,1,1,1,1] [5,3,1,2,4,6,7]=>[1,1,5] [5,3,1,2,4,7,6]=>[1,1,4,1] [5,3,1,2,6,4,7]=>[1,1,3,2] [5,3,1,2,6,7,4]=>[1,1,4,1] [5,3,1,2,7,4,6]=>[1,1,3,2] [5,3,1,2,7,6,4]=>[1,1,3,1,1] [5,3,1,4,2,6,7]=>[1,1,2,3] [5,3,1,4,2,7,6]=>[1,1,2,2,1] [5,3,1,4,6,2,7]=>[1,1,3,2] [5,3,1,4,6,7,2]=>[1,1,4,1] [5,3,1,4,7,2,6]=>[1,1,3,2] [5,3,1,4,7,6,2]=>[1,1,3,1,1] [5,3,1,6,2,4,7]=>[1,1,2,3] [5,3,1,6,2,7,4]=>[1,1,2,2,1] [5,3,1,6,4,2,7]=>[1,1,2,1,2] [5,3,1,6,4,7,2]=>[1,1,2,2,1] [5,3,1,6,7,2,4]=>[1,1,3,2] [5,3,1,6,7,4,2]=>[1,1,3,1,1] [5,3,1,7,2,4,6]=>[1,1,2,3] [5,3,1,7,2,6,4]=>[1,1,2,2,1] [5,3,1,7,4,2,6]=>[1,1,2,1,2] [5,3,1,7,4,6,2]=>[1,1,2,2,1] [5,3,1,7,6,2,4]=>[1,1,2,1,2] [5,3,1,7,6,4,2]=>[1,1,2,1,1,1] [5,3,2,1,4,6,7]=>[1,1,1,4] [5,3,2,1,4,7,6]=>[1,1,1,3,1] [5,3,2,1,6,4,7]=>[1,1,1,2,2] [5,3,2,1,6,7,4]=>[1,1,1,3,1] [5,3,2,1,7,4,6]=>[1,1,1,2,2] [5,3,2,1,7,6,4]=>[1,1,1,2,1,1] [5,3,2,4,1,6,7]=>[1,1,2,3] [5,3,2,4,1,7,6]=>[1,1,2,2,1] [5,3,2,4,6,1,7]=>[1,1,3,2] [5,3,2,4,6,7,1]=>[1,1,4,1] [5,3,2,4,7,1,6]=>[1,1,3,2] [5,3,2,4,7,6,1]=>[1,1,3,1,1] [5,3,2,6,1,4,7]=>[1,1,2,3] [5,3,2,6,1,7,4]=>[1,1,2,2,1] [5,3,2,6,4,1,7]=>[1,1,2,1,2] [5,3,2,6,4,7,1]=>[1,1,2,2,1] [5,3,2,6,7,1,4]=>[1,1,3,2] [5,3,2,6,7,4,1]=>[1,1,3,1,1] [5,3,2,7,1,4,6]=>[1,1,2,3] [5,3,2,7,1,6,4]=>[1,1,2,2,1] [5,3,2,7,4,1,6]=>[1,1,2,1,2] [5,3,2,7,4,6,1]=>[1,1,2,2,1] [5,3,2,7,6,1,4]=>[1,1,2,1,2] [5,3,2,7,6,4,1]=>[1,1,2,1,1,1] [5,3,4,1,2,6,7]=>[1,2,4] [5,3,4,1,2,7,6]=>[1,2,3,1] [5,3,4,1,6,2,7]=>[1,2,2,2] [5,3,4,1,6,7,2]=>[1,2,3,1] [5,3,4,1,7,2,6]=>[1,2,2,2] [5,3,4,1,7,6,2]=>[1,2,2,1,1] [5,3,4,2,1,6,7]=>[1,2,1,3] [5,3,4,2,1,7,6]=>[1,2,1,2,1] [5,3,4,2,6,1,7]=>[1,2,2,2] [5,3,4,2,6,7,1]=>[1,2,3,1] [5,3,4,2,7,1,6]=>[1,2,2,2] [5,3,4,2,7,6,1]=>[1,2,2,1,1] [5,3,4,6,1,2,7]=>[1,3,3] [5,3,4,6,1,7,2]=>[1,3,2,1] [5,3,4,6,2,1,7]=>[1,3,1,2] [5,3,4,6,2,7,1]=>[1,3,2,1] [5,3,4,6,7,1,2]=>[1,4,2] [5,3,4,6,7,2,1]=>[1,4,1,1] [5,3,4,7,1,2,6]=>[1,3,3] [5,3,4,7,1,6,2]=>[1,3,2,1] [5,3,4,7,2,1,6]=>[1,3,1,2] [5,3,4,7,2,6,1]=>[1,3,2,1] [5,3,4,7,6,1,2]=>[1,3,1,2] [5,3,4,7,6,2,1]=>[1,3,1,1,1] [5,3,6,1,2,4,7]=>[1,2,4] [5,3,6,1,2,7,4]=>[1,2,3,1] [5,3,6,1,4,2,7]=>[1,2,2,2] [5,3,6,1,4,7,2]=>[1,2,3,1] [5,3,6,1,7,2,4]=>[1,2,2,2] [5,3,6,1,7,4,2]=>[1,2,2,1,1] [5,3,6,2,1,4,7]=>[1,2,1,3] [5,3,6,2,1,7,4]=>[1,2,1,2,1] [5,3,6,2,4,1,7]=>[1,2,2,2] [5,3,6,2,4,7,1]=>[1,2,3,1] [5,3,6,2,7,1,4]=>[1,2,2,2] [5,3,6,2,7,4,1]=>[1,2,2,1,1] [5,3,6,4,1,2,7]=>[1,2,1,3] [5,3,6,4,1,7,2]=>[1,2,1,2,1] [5,3,6,4,2,1,7]=>[1,2,1,1,2] [5,3,6,4,2,7,1]=>[1,2,1,2,1] [5,3,6,4,7,1,2]=>[1,2,2,2] [5,3,6,4,7,2,1]=>[1,2,2,1,1] [5,3,6,7,1,2,4]=>[1,3,3] [5,3,6,7,1,4,2]=>[1,3,2,1] [5,3,6,7,2,1,4]=>[1,3,1,2] [5,3,6,7,2,4,1]=>[1,3,2,1] [5,3,6,7,4,1,2]=>[1,3,1,2] [5,3,6,7,4,2,1]=>[1,3,1,1,1] [5,3,7,1,2,4,6]=>[1,2,4] [5,3,7,1,2,6,4]=>[1,2,3,1] [5,3,7,1,4,2,6]=>[1,2,2,2] [5,3,7,1,4,6,2]=>[1,2,3,1] [5,3,7,1,6,2,4]=>[1,2,2,2] [5,3,7,1,6,4,2]=>[1,2,2,1,1] [5,3,7,2,1,4,6]=>[1,2,1,3] [5,3,7,2,1,6,4]=>[1,2,1,2,1] [5,3,7,2,4,1,6]=>[1,2,2,2] [5,3,7,2,4,6,1]=>[1,2,3,1] [5,3,7,2,6,1,4]=>[1,2,2,2] [5,3,7,2,6,4,1]=>[1,2,2,1,1] [5,3,7,4,1,2,6]=>[1,2,1,3] [5,3,7,4,1,6,2]=>[1,2,1,2,1] [5,3,7,4,2,1,6]=>[1,2,1,1,2] [5,3,7,4,2,6,1]=>[1,2,1,2,1] [5,3,7,4,6,1,2]=>[1,2,2,2] [5,3,7,4,6,2,1]=>[1,2,2,1,1] [5,3,7,6,1,2,4]=>[1,2,1,3] [5,3,7,6,1,4,2]=>[1,2,1,2,1] [5,3,7,6,2,1,4]=>[1,2,1,1,2] [5,3,7,6,2,4,1]=>[1,2,1,2,1] [5,3,7,6,4,1,2]=>[1,2,1,1,2] [5,3,7,6,4,2,1]=>[1,2,1,1,1,1] [5,4,1,2,3,6,7]=>[1,1,5] [5,4,1,2,3,7,6]=>[1,1,4,1] [5,4,1,2,6,3,7]=>[1,1,3,2] [5,4,1,2,6,7,3]=>[1,1,4,1] [5,4,1,2,7,3,6]=>[1,1,3,2] [5,4,1,2,7,6,3]=>[1,1,3,1,1] [5,4,1,3,2,6,7]=>[1,1,2,3] [5,4,1,3,2,7,6]=>[1,1,2,2,1] [5,4,1,3,6,2,7]=>[1,1,3,2] [5,4,1,3,6,7,2]=>[1,1,4,1] [5,4,1,3,7,2,6]=>[1,1,3,2] [5,4,1,3,7,6,2]=>[1,1,3,1,1] [5,4,1,6,2,3,7]=>[1,1,2,3] [5,4,1,6,2,7,3]=>[1,1,2,2,1] [5,4,1,6,3,2,7]=>[1,1,2,1,2] [5,4,1,6,3,7,2]=>[1,1,2,2,1] [5,4,1,6,7,2,3]=>[1,1,3,2] [5,4,1,6,7,3,2]=>[1,1,3,1,1] [5,4,1,7,2,3,6]=>[1,1,2,3] [5,4,1,7,2,6,3]=>[1,1,2,2,1] [5,4,1,7,3,2,6]=>[1,1,2,1,2] [5,4,1,7,3,6,2]=>[1,1,2,2,1] [5,4,1,7,6,2,3]=>[1,1,2,1,2] [5,4,1,7,6,3,2]=>[1,1,2,1,1,1] [5,4,2,1,3,6,7]=>[1,1,1,4] [5,4,2,1,3,7,6]=>[1,1,1,3,1] [5,4,2,1,6,3,7]=>[1,1,1,2,2] [5,4,2,1,6,7,3]=>[1,1,1,3,1] [5,4,2,1,7,3,6]=>[1,1,1,2,2] [5,4,2,1,7,6,3]=>[1,1,1,2,1,1] [5,4,2,3,1,6,7]=>[1,1,2,3] [5,4,2,3,1,7,6]=>[1,1,2,2,1] [5,4,2,3,6,1,7]=>[1,1,3,2] [5,4,2,3,6,7,1]=>[1,1,4,1] [5,4,2,3,7,1,6]=>[1,1,3,2] [5,4,2,3,7,6,1]=>[1,1,3,1,1] [5,4,2,6,1,3,7]=>[1,1,2,3] [5,4,2,6,1,7,3]=>[1,1,2,2,1] [5,4,2,6,3,1,7]=>[1,1,2,1,2] [5,4,2,6,3,7,1]=>[1,1,2,2,1] [5,4,2,6,7,1,3]=>[1,1,3,2] [5,4,2,6,7,3,1]=>[1,1,3,1,1] [5,4,2,7,1,3,6]=>[1,1,2,3] [5,4,2,7,1,6,3]=>[1,1,2,2,1] [5,4,2,7,3,1,6]=>[1,1,2,1,2] [5,4,2,7,3,6,1]=>[1,1,2,2,1] [5,4,2,7,6,1,3]=>[1,1,2,1,2] [5,4,2,7,6,3,1]=>[1,1,2,1,1,1] [5,4,3,1,2,6,7]=>[1,1,1,4] [5,4,3,1,2,7,6]=>[1,1,1,3,1] [5,4,3,1,6,2,7]=>[1,1,1,2,2] [5,4,3,1,6,7,2]=>[1,1,1,3,1] [5,4,3,1,7,2,6]=>[1,1,1,2,2] [5,4,3,1,7,6,2]=>[1,1,1,2,1,1] [5,4,3,2,1,6,7]=>[1,1,1,1,3] [5,4,3,2,1,7,6]=>[1,1,1,1,2,1] [5,4,3,2,6,1,7]=>[1,1,1,2,2] [5,4,3,2,6,7,1]=>[1,1,1,3,1] [5,4,3,2,7,1,6]=>[1,1,1,2,2] [5,4,3,2,7,6,1]=>[1,1,1,2,1,1] [5,4,3,6,1,2,7]=>[1,1,2,3] [5,4,3,6,1,7,2]=>[1,1,2,2,1] [5,4,3,6,2,1,7]=>[1,1,2,1,2] [5,4,3,6,2,7,1]=>[1,1,2,2,1] [5,4,3,6,7,1,2]=>[1,1,3,2] [5,4,3,6,7,2,1]=>[1,1,3,1,1] [5,4,3,7,1,2,6]=>[1,1,2,3] [5,4,3,7,1,6,2]=>[1,1,2,2,1] [5,4,3,7,2,1,6]=>[1,1,2,1,2] [5,4,3,7,2,6,1]=>[1,1,2,2,1] [5,4,3,7,6,1,2]=>[1,1,2,1,2] [5,4,3,7,6,2,1]=>[1,1,2,1,1,1] [5,4,6,1,2,3,7]=>[1,2,4] [5,4,6,1,2,7,3]=>[1,2,3,1] [5,4,6,1,3,2,7]=>[1,2,2,2] [5,4,6,1,3,7,2]=>[1,2,3,1] [5,4,6,1,7,2,3]=>[1,2,2,2] [5,4,6,1,7,3,2]=>[1,2,2,1,1] [5,4,6,2,1,3,7]=>[1,2,1,3] [5,4,6,2,1,7,3]=>[1,2,1,2,1] [5,4,6,2,3,1,7]=>[1,2,2,2] [5,4,6,2,3,7,1]=>[1,2,3,1] [5,4,6,2,7,1,3]=>[1,2,2,2] [5,4,6,2,7,3,1]=>[1,2,2,1,1] [5,4,6,3,1,2,7]=>[1,2,1,3] [5,4,6,3,1,7,2]=>[1,2,1,2,1] [5,4,6,3,2,1,7]=>[1,2,1,1,2] [5,4,6,3,2,7,1]=>[1,2,1,2,1] [5,4,6,3,7,1,2]=>[1,2,2,2] [5,4,6,3,7,2,1]=>[1,2,2,1,1] [5,4,6,7,1,2,3]=>[1,3,3] [5,4,6,7,1,3,2]=>[1,3,2,1] [5,4,6,7,2,1,3]=>[1,3,1,2] [5,4,6,7,2,3,1]=>[1,3,2,1] [5,4,6,7,3,1,2]=>[1,3,1,2] [5,4,6,7,3,2,1]=>[1,3,1,1,1] [5,4,7,1,2,3,6]=>[1,2,4] [5,4,7,1,2,6,3]=>[1,2,3,1] [5,4,7,1,3,2,6]=>[1,2,2,2] [5,4,7,1,3,6,2]=>[1,2,3,1] [5,4,7,1,6,2,3]=>[1,2,2,2] [5,4,7,1,6,3,2]=>[1,2,2,1,1] [5,4,7,2,1,3,6]=>[1,2,1,3] [5,4,7,2,1,6,3]=>[1,2,1,2,1] [5,4,7,2,3,1,6]=>[1,2,2,2] [5,4,7,2,3,6,1]=>[1,2,3,1] [5,4,7,2,6,1,3]=>[1,2,2,2] [5,4,7,2,6,3,1]=>[1,2,2,1,1] [5,4,7,3,1,2,6]=>[1,2,1,3] [5,4,7,3,1,6,2]=>[1,2,1,2,1] [5,4,7,3,2,1,6]=>[1,2,1,1,2] [5,4,7,3,2,6,1]=>[1,2,1,2,1] [5,4,7,3,6,1,2]=>[1,2,2,2] [5,4,7,3,6,2,1]=>[1,2,2,1,1] [5,4,7,6,1,2,3]=>[1,2,1,3] [5,4,7,6,1,3,2]=>[1,2,1,2,1] [5,4,7,6,2,1,3]=>[1,2,1,1,2] [5,4,7,6,2,3,1]=>[1,2,1,2,1] [5,4,7,6,3,1,2]=>[1,2,1,1,2] [5,4,7,6,3,2,1]=>[1,2,1,1,1,1] [5,6,1,2,3,4,7]=>[2,5] [5,6,1,2,3,7,4]=>[2,4,1] [5,6,1,2,4,3,7]=>[2,3,2] [5,6,1,2,4,7,3]=>[2,4,1] [5,6,1,2,7,3,4]=>[2,3,2] [5,6,1,2,7,4,3]=>[2,3,1,1] [5,6,1,3,2,4,7]=>[2,2,3] [5,6,1,3,2,7,4]=>[2,2,2,1] [5,6,1,3,4,2,7]=>[2,3,2] [5,6,1,3,4,7,2]=>[2,4,1] [5,6,1,3,7,2,4]=>[2,3,2] [5,6,1,3,7,4,2]=>[2,3,1,1] [5,6,1,4,2,3,7]=>[2,2,3] [5,6,1,4,2,7,3]=>[2,2,2,1] [5,6,1,4,3,2,7]=>[2,2,1,2] [5,6,1,4,3,7,2]=>[2,2,2,1] [5,6,1,4,7,2,3]=>[2,3,2] [5,6,1,4,7,3,2]=>[2,3,1,1] [5,6,1,7,2,3,4]=>[2,2,3] [5,6,1,7,2,4,3]=>[2,2,2,1] [5,6,1,7,3,2,4]=>[2,2,1,2] [5,6,1,7,3,4,2]=>[2,2,2,1] [5,6,1,7,4,2,3]=>[2,2,1,2] [5,6,1,7,4,3,2]=>[2,2,1,1,1] [5,6,2,1,3,4,7]=>[2,1,4] [5,6,2,1,3,7,4]=>[2,1,3,1] [5,6,2,1,4,3,7]=>[2,1,2,2] [5,6,2,1,4,7,3]=>[2,1,3,1] [5,6,2,1,7,3,4]=>[2,1,2,2] [5,6,2,1,7,4,3]=>[2,1,2,1,1] [5,6,2,3,1,4,7]=>[2,2,3] [5,6,2,3,1,7,4]=>[2,2,2,1] [5,6,2,3,4,1,7]=>[2,3,2] [5,6,2,3,4,7,1]=>[2,4,1] [5,6,2,3,7,1,4]=>[2,3,2] [5,6,2,3,7,4,1]=>[2,3,1,1] [5,6,2,4,1,3,7]=>[2,2,3] [5,6,2,4,1,7,3]=>[2,2,2,1] [5,6,2,4,3,1,7]=>[2,2,1,2] [5,6,2,4,3,7,1]=>[2,2,2,1] [5,6,2,4,7,1,3]=>[2,3,2] [5,6,2,4,7,3,1]=>[2,3,1,1] [5,6,2,7,1,3,4]=>[2,2,3] [5,6,2,7,1,4,3]=>[2,2,2,1] [5,6,2,7,3,1,4]=>[2,2,1,2] [5,6,2,7,3,4,1]=>[2,2,2,1] [5,6,2,7,4,1,3]=>[2,2,1,2] [5,6,2,7,4,3,1]=>[2,2,1,1,1] [5,6,3,1,2,4,7]=>[2,1,4] [5,6,3,1,2,7,4]=>[2,1,3,1] [5,6,3,1,4,2,7]=>[2,1,2,2] [5,6,3,1,4,7,2]=>[2,1,3,1] [5,6,3,1,7,2,4]=>[2,1,2,2] [5,6,3,1,7,4,2]=>[2,1,2,1,1] [5,6,3,2,1,4,7]=>[2,1,1,3] [5,6,3,2,1,7,4]=>[2,1,1,2,1] [5,6,3,2,4,1,7]=>[2,1,2,2] [5,6,3,2,4,7,1]=>[2,1,3,1] [5,6,3,2,7,1,4]=>[2,1,2,2] [5,6,3,2,7,4,1]=>[2,1,2,1,1] [5,6,3,4,1,2,7]=>[2,2,3] [5,6,3,4,1,7,2]=>[2,2,2,1] [5,6,3,4,2,1,7]=>[2,2,1,2] [5,6,3,4,2,7,1]=>[2,2,2,1] [5,6,3,4,7,1,2]=>[2,3,2] [5,6,3,4,7,2,1]=>[2,3,1,1] [5,6,3,7,1,2,4]=>[2,2,3] [5,6,3,7,1,4,2]=>[2,2,2,1] [5,6,3,7,2,1,4]=>[2,2,1,2] [5,6,3,7,2,4,1]=>[2,2,2,1] [5,6,3,7,4,1,2]=>[2,2,1,2] [5,6,3,7,4,2,1]=>[2,2,1,1,1] [5,6,4,1,2,3,7]=>[2,1,4] [5,6,4,1,2,7,3]=>[2,1,3,1] [5,6,4,1,3,2,7]=>[2,1,2,2] [5,6,4,1,3,7,2]=>[2,1,3,1] [5,6,4,1,7,2,3]=>[2,1,2,2] [5,6,4,1,7,3,2]=>[2,1,2,1,1] [5,6,4,2,1,3,7]=>[2,1,1,3] [5,6,4,2,1,7,3]=>[2,1,1,2,1] [5,6,4,2,3,1,7]=>[2,1,2,2] [5,6,4,2,3,7,1]=>[2,1,3,1] [5,6,4,2,7,1,3]=>[2,1,2,2] [5,6,4,2,7,3,1]=>[2,1,2,1,1] [5,6,4,3,1,2,7]=>[2,1,1,3] [5,6,4,3,1,7,2]=>[2,1,1,2,1] [5,6,4,3,2,1,7]=>[2,1,1,1,2] [5,6,4,3,2,7,1]=>[2,1,1,2,1] [5,6,4,3,7,1,2]=>[2,1,2,2] [5,6,4,3,7,2,1]=>[2,1,2,1,1] [5,6,4,7,1,2,3]=>[2,2,3] [5,6,4,7,1,3,2]=>[2,2,2,1] [5,6,4,7,2,1,3]=>[2,2,1,2] [5,6,4,7,2,3,1]=>[2,2,2,1] [5,6,4,7,3,1,2]=>[2,2,1,2] [5,6,4,7,3,2,1]=>[2,2,1,1,1] [5,6,7,1,2,3,4]=>[3,4] [5,6,7,1,2,4,3]=>[3,3,1] [5,6,7,1,3,2,4]=>[3,2,2] [5,6,7,1,3,4,2]=>[3,3,1] [5,6,7,1,4,2,3]=>[3,2,2] [5,6,7,1,4,3,2]=>[3,2,1,1] [5,6,7,2,1,3,4]=>[3,1,3] [5,6,7,2,1,4,3]=>[3,1,2,1] [5,6,7,2,3,1,4]=>[3,2,2] [5,6,7,2,3,4,1]=>[3,3,1] [5,6,7,2,4,1,3]=>[3,2,2] [5,6,7,2,4,3,1]=>[3,2,1,1] [5,6,7,3,1,2,4]=>[3,1,3] [5,6,7,3,1,4,2]=>[3,1,2,1] [5,6,7,3,2,1,4]=>[3,1,1,2] [5,6,7,3,2,4,1]=>[3,1,2,1] [5,6,7,3,4,1,2]=>[3,2,2] [5,6,7,3,4,2,1]=>[3,2,1,1] [5,6,7,4,1,2,3]=>[3,1,3] [5,6,7,4,1,3,2]=>[3,1,2,1] [5,6,7,4,2,1,3]=>[3,1,1,2] [5,6,7,4,2,3,1]=>[3,1,2,1] [5,6,7,4,3,1,2]=>[3,1,1,2] [5,6,7,4,3,2,1]=>[3,1,1,1,1] [5,7,1,2,3,4,6]=>[2,5] [5,7,1,2,3,6,4]=>[2,4,1] [5,7,1,2,4,3,6]=>[2,3,2] [5,7,1,2,4,6,3]=>[2,4,1] [5,7,1,2,6,3,4]=>[2,3,2] [5,7,1,2,6,4,3]=>[2,3,1,1] [5,7,1,3,2,4,6]=>[2,2,3] [5,7,1,3,2,6,4]=>[2,2,2,1] [5,7,1,3,4,2,6]=>[2,3,2] [5,7,1,3,4,6,2]=>[2,4,1] [5,7,1,3,6,2,4]=>[2,3,2] [5,7,1,3,6,4,2]=>[2,3,1,1] [5,7,1,4,2,3,6]=>[2,2,3] [5,7,1,4,2,6,3]=>[2,2,2,1] [5,7,1,4,3,2,6]=>[2,2,1,2] [5,7,1,4,3,6,2]=>[2,2,2,1] [5,7,1,4,6,2,3]=>[2,3,2] [5,7,1,4,6,3,2]=>[2,3,1,1] [5,7,1,6,2,3,4]=>[2,2,3] [5,7,1,6,2,4,3]=>[2,2,2,1] [5,7,1,6,3,2,4]=>[2,2,1,2] [5,7,1,6,3,4,2]=>[2,2,2,1] [5,7,1,6,4,2,3]=>[2,2,1,2] [5,7,1,6,4,3,2]=>[2,2,1,1,1] [5,7,2,1,3,4,6]=>[2,1,4] [5,7,2,1,3,6,4]=>[2,1,3,1] [5,7,2,1,4,3,6]=>[2,1,2,2] [5,7,2,1,4,6,3]=>[2,1,3,1] [5,7,2,1,6,3,4]=>[2,1,2,2] [5,7,2,1,6,4,3]=>[2,1,2,1,1] [5,7,2,3,1,4,6]=>[2,2,3] [5,7,2,3,1,6,4]=>[2,2,2,1] [5,7,2,3,4,1,6]=>[2,3,2] [5,7,2,3,4,6,1]=>[2,4,1] [5,7,2,3,6,1,4]=>[2,3,2] [5,7,2,3,6,4,1]=>[2,3,1,1] [5,7,2,4,1,3,6]=>[2,2,3] [5,7,2,4,1,6,3]=>[2,2,2,1] [5,7,2,4,3,1,6]=>[2,2,1,2] [5,7,2,4,3,6,1]=>[2,2,2,1] [5,7,2,4,6,1,3]=>[2,3,2] [5,7,2,4,6,3,1]=>[2,3,1,1] [5,7,2,6,1,3,4]=>[2,2,3] [5,7,2,6,1,4,3]=>[2,2,2,1] [5,7,2,6,3,1,4]=>[2,2,1,2] [5,7,2,6,3,4,1]=>[2,2,2,1] [5,7,2,6,4,1,3]=>[2,2,1,2] [5,7,2,6,4,3,1]=>[2,2,1,1,1] [5,7,3,1,2,4,6]=>[2,1,4] [5,7,3,1,2,6,4]=>[2,1,3,1] [5,7,3,1,4,2,6]=>[2,1,2,2] [5,7,3,1,4,6,2]=>[2,1,3,1] [5,7,3,1,6,2,4]=>[2,1,2,2] [5,7,3,1,6,4,2]=>[2,1,2,1,1] [5,7,3,2,1,4,6]=>[2,1,1,3] [5,7,3,2,1,6,4]=>[2,1,1,2,1] [5,7,3,2,4,1,6]=>[2,1,2,2] [5,7,3,2,4,6,1]=>[2,1,3,1] [5,7,3,2,6,1,4]=>[2,1,2,2] [5,7,3,2,6,4,1]=>[2,1,2,1,1] [5,7,3,4,1,2,6]=>[2,2,3] [5,7,3,4,1,6,2]=>[2,2,2,1] [5,7,3,4,2,1,6]=>[2,2,1,2] [5,7,3,4,2,6,1]=>[2,2,2,1] [5,7,3,4,6,1,2]=>[2,3,2] [5,7,3,4,6,2,1]=>[2,3,1,1] [5,7,3,6,1,2,4]=>[2,2,3] [5,7,3,6,1,4,2]=>[2,2,2,1] [5,7,3,6,2,1,4]=>[2,2,1,2] [5,7,3,6,2,4,1]=>[2,2,2,1] [5,7,3,6,4,1,2]=>[2,2,1,2] [5,7,3,6,4,2,1]=>[2,2,1,1,1] [5,7,4,1,2,3,6]=>[2,1,4] [5,7,4,1,2,6,3]=>[2,1,3,1] [5,7,4,1,3,2,6]=>[2,1,2,2] [5,7,4,1,3,6,2]=>[2,1,3,1] [5,7,4,1,6,2,3]=>[2,1,2,2] [5,7,4,1,6,3,2]=>[2,1,2,1,1] [5,7,4,2,1,3,6]=>[2,1,1,3] [5,7,4,2,1,6,3]=>[2,1,1,2,1] [5,7,4,2,3,1,6]=>[2,1,2,2] [5,7,4,2,3,6,1]=>[2,1,3,1] [5,7,4,2,6,1,3]=>[2,1,2,2] [5,7,4,2,6,3,1]=>[2,1,2,1,1] [5,7,4,3,1,2,6]=>[2,1,1,3] [5,7,4,3,1,6,2]=>[2,1,1,2,1] [5,7,4,3,2,1,6]=>[2,1,1,1,2] [5,7,4,3,2,6,1]=>[2,1,1,2,1] [5,7,4,3,6,1,2]=>[2,1,2,2] [5,7,4,3,6,2,1]=>[2,1,2,1,1] [5,7,4,6,1,2,3]=>[2,2,3] [5,7,4,6,1,3,2]=>[2,2,2,1] [5,7,4,6,2,1,3]=>[2,2,1,2] [5,7,4,6,2,3,1]=>[2,2,2,1] [5,7,4,6,3,1,2]=>[2,2,1,2] [5,7,4,6,3,2,1]=>[2,2,1,1,1] [5,7,6,1,2,3,4]=>[2,1,4] [5,7,6,1,2,4,3]=>[2,1,3,1] [5,7,6,1,3,2,4]=>[2,1,2,2] [5,7,6,1,3,4,2]=>[2,1,3,1] [5,7,6,1,4,2,3]=>[2,1,2,2] [5,7,6,1,4,3,2]=>[2,1,2,1,1] [5,7,6,2,1,3,4]=>[2,1,1,3] [5,7,6,2,1,4,3]=>[2,1,1,2,1] [5,7,6,2,3,1,4]=>[2,1,2,2] [5,7,6,2,3,4,1]=>[2,1,3,1] [5,7,6,2,4,1,3]=>[2,1,2,2] [5,7,6,2,4,3,1]=>[2,1,2,1,1] [5,7,6,3,1,2,4]=>[2,1,1,3] [5,7,6,3,1,4,2]=>[2,1,1,2,1] [5,7,6,3,2,1,4]=>[2,1,1,1,2] [5,7,6,3,2,4,1]=>[2,1,1,2,1] [5,7,6,3,4,1,2]=>[2,1,2,2] [5,7,6,3,4,2,1]=>[2,1,2,1,1] [5,7,6,4,1,2,3]=>[2,1,1,3] [5,7,6,4,1,3,2]=>[2,1,1,2,1] [5,7,6,4,2,1,3]=>[2,1,1,1,2] [5,7,6,4,2,3,1]=>[2,1,1,2,1] [5,7,6,4,3,1,2]=>[2,1,1,1,2] [5,7,6,4,3,2,1]=>[2,1,1,1,1,1] [6,1,2,3,4,5,7]=>[1,6] [6,1,2,3,4,7,5]=>[1,5,1] [6,1,2,3,5,4,7]=>[1,4,2] [6,1,2,3,5,7,4]=>[1,5,1] [6,1,2,3,7,4,5]=>[1,4,2] [6,1,2,3,7,5,4]=>[1,4,1,1] [6,1,2,4,3,5,7]=>[1,3,3] [6,1,2,4,3,7,5]=>[1,3,2,1] [6,1,2,4,5,3,7]=>[1,4,2] [6,1,2,4,5,7,3]=>[1,5,1] [6,1,2,4,7,3,5]=>[1,4,2] [6,1,2,4,7,5,3]=>[1,4,1,1] [6,1,2,5,3,4,7]=>[1,3,3] [6,1,2,5,3,7,4]=>[1,3,2,1] [6,1,2,5,4,3,7]=>[1,3,1,2] [6,1,2,5,4,7,3]=>[1,3,2,1] [6,1,2,5,7,3,4]=>[1,4,2] [6,1,2,5,7,4,3]=>[1,4,1,1] [6,1,2,7,3,4,5]=>[1,3,3] [6,1,2,7,3,5,4]=>[1,3,2,1] [6,1,2,7,4,3,5]=>[1,3,1,2] [6,1,2,7,4,5,3]=>[1,3,2,1] [6,1,2,7,5,3,4]=>[1,3,1,2] [6,1,2,7,5,4,3]=>[1,3,1,1,1] [6,1,3,2,4,5,7]=>[1,2,4] [6,1,3,2,4,7,5]=>[1,2,3,1] [6,1,3,2,5,4,7]=>[1,2,2,2] [6,1,3,2,5,7,4]=>[1,2,3,1] [6,1,3,2,7,4,5]=>[1,2,2,2] [6,1,3,2,7,5,4]=>[1,2,2,1,1] [6,1,3,4,2,5,7]=>[1,3,3] [6,1,3,4,2,7,5]=>[1,3,2,1] [6,1,3,4,5,2,7]=>[1,4,2] [6,1,3,4,5,7,2]=>[1,5,1] [6,1,3,4,7,2,5]=>[1,4,2] [6,1,3,4,7,5,2]=>[1,4,1,1] [6,1,3,5,2,4,7]=>[1,3,3] [6,1,3,5,2,7,4]=>[1,3,2,1] [6,1,3,5,4,2,7]=>[1,3,1,2] [6,1,3,5,4,7,2]=>[1,3,2,1] [6,1,3,5,7,2,4]=>[1,4,2] [6,1,3,5,7,4,2]=>[1,4,1,1] [6,1,3,7,2,4,5]=>[1,3,3] [6,1,3,7,2,5,4]=>[1,3,2,1] [6,1,3,7,4,2,5]=>[1,3,1,2] [6,1,3,7,4,5,2]=>[1,3,2,1] [6,1,3,7,5,2,4]=>[1,3,1,2] [6,1,3,7,5,4,2]=>[1,3,1,1,1] [6,1,4,2,3,5,7]=>[1,2,4] [6,1,4,2,3,7,5]=>[1,2,3,1] [6,1,4,2,5,3,7]=>[1,2,2,2] [6,1,4,2,5,7,3]=>[1,2,3,1] [6,1,4,2,7,3,5]=>[1,2,2,2] [6,1,4,2,7,5,3]=>[1,2,2,1,1] [6,1,4,3,2,5,7]=>[1,2,1,3] [6,1,4,3,2,7,5]=>[1,2,1,2,1] [6,1,4,3,5,2,7]=>[1,2,2,2] [6,1,4,3,5,7,2]=>[1,2,3,1] [6,1,4,3,7,2,5]=>[1,2,2,2] [6,1,4,3,7,5,2]=>[1,2,2,1,1] [6,1,4,5,2,3,7]=>[1,3,3] [6,1,4,5,2,7,3]=>[1,3,2,1] [6,1,4,5,3,2,7]=>[1,3,1,2] [6,1,4,5,3,7,2]=>[1,3,2,1] [6,1,4,5,7,2,3]=>[1,4,2] [6,1,4,5,7,3,2]=>[1,4,1,1] [6,1,4,7,2,3,5]=>[1,3,3] [6,1,4,7,2,5,3]=>[1,3,2,1] [6,1,4,7,3,2,5]=>[1,3,1,2] [6,1,4,7,3,5,2]=>[1,3,2,1] [6,1,4,7,5,2,3]=>[1,3,1,2] [6,1,4,7,5,3,2]=>[1,3,1,1,1] [6,1,5,2,3,4,7]=>[1,2,4] [6,1,5,2,3,7,4]=>[1,2,3,1] [6,1,5,2,4,3,7]=>[1,2,2,2] [6,1,5,2,4,7,3]=>[1,2,3,1] [6,1,5,2,7,3,4]=>[1,2,2,2] [6,1,5,2,7,4,3]=>[1,2,2,1,1] [6,1,5,3,2,4,7]=>[1,2,1,3] [6,1,5,3,2,7,4]=>[1,2,1,2,1] [6,1,5,3,4,2,7]=>[1,2,2,2] [6,1,5,3,4,7,2]=>[1,2,3,1] [6,1,5,3,7,2,4]=>[1,2,2,2] [6,1,5,3,7,4,2]=>[1,2,2,1,1] [6,1,5,4,2,3,7]=>[1,2,1,3] [6,1,5,4,2,7,3]=>[1,2,1,2,1] [6,1,5,4,3,2,7]=>[1,2,1,1,2] [6,1,5,4,3,7,2]=>[1,2,1,2,1] [6,1,5,4,7,2,3]=>[1,2,2,2] [6,1,5,4,7,3,2]=>[1,2,2,1,1] [6,1,5,7,2,3,4]=>[1,3,3] [6,1,5,7,2,4,3]=>[1,3,2,1] [6,1,5,7,3,2,4]=>[1,3,1,2] [6,1,5,7,3,4,2]=>[1,3,2,1] [6,1,5,7,4,2,3]=>[1,3,1,2] [6,1,5,7,4,3,2]=>[1,3,1,1,1] [6,1,7,2,3,4,5]=>[1,2,4] [6,1,7,2,3,5,4]=>[1,2,3,1] [6,1,7,2,4,3,5]=>[1,2,2,2] [6,1,7,2,4,5,3]=>[1,2,3,1] [6,1,7,2,5,3,4]=>[1,2,2,2] [6,1,7,2,5,4,3]=>[1,2,2,1,1] [6,1,7,3,2,4,5]=>[1,2,1,3] [6,1,7,3,2,5,4]=>[1,2,1,2,1] [6,1,7,3,4,2,5]=>[1,2,2,2] [6,1,7,3,4,5,2]=>[1,2,3,1] [6,1,7,3,5,2,4]=>[1,2,2,2] [6,1,7,3,5,4,2]=>[1,2,2,1,1] [6,1,7,4,2,3,5]=>[1,2,1,3] [6,1,7,4,2,5,3]=>[1,2,1,2,1] [6,1,7,4,3,2,5]=>[1,2,1,1,2] [6,1,7,4,3,5,2]=>[1,2,1,2,1] [6,1,7,4,5,2,3]=>[1,2,2,2] [6,1,7,4,5,3,2]=>[1,2,2,1,1] [6,1,7,5,2,3,4]=>[1,2,1,3] [6,1,7,5,2,4,3]=>[1,2,1,2,1] [6,1,7,5,3,2,4]=>[1,2,1,1,2] [6,1,7,5,3,4,2]=>[1,2,1,2,1] [6,1,7,5,4,2,3]=>[1,2,1,1,2] [6,1,7,5,4,3,2]=>[1,2,1,1,1,1] [6,2,1,3,4,5,7]=>[1,1,5] [6,2,1,3,4,7,5]=>[1,1,4,1] [6,2,1,3,5,4,7]=>[1,1,3,2] [6,2,1,3,5,7,4]=>[1,1,4,1] [6,2,1,3,7,4,5]=>[1,1,3,2] [6,2,1,3,7,5,4]=>[1,1,3,1,1] [6,2,1,4,3,5,7]=>[1,1,2,3] [6,2,1,4,3,7,5]=>[1,1,2,2,1] [6,2,1,4,5,3,7]=>[1,1,3,2] [6,2,1,4,5,7,3]=>[1,1,4,1] [6,2,1,4,7,3,5]=>[1,1,3,2] [6,2,1,4,7,5,3]=>[1,1,3,1,1] [6,2,1,5,3,4,7]=>[1,1,2,3] [6,2,1,5,3,7,4]=>[1,1,2,2,1] [6,2,1,5,4,3,7]=>[1,1,2,1,2] [6,2,1,5,4,7,3]=>[1,1,2,2,1] [6,2,1,5,7,3,4]=>[1,1,3,2] [6,2,1,5,7,4,3]=>[1,1,3,1,1] [6,2,1,7,3,4,5]=>[1,1,2,3] [6,2,1,7,3,5,4]=>[1,1,2,2,1] [6,2,1,7,4,3,5]=>[1,1,2,1,2] [6,2,1,7,4,5,3]=>[1,1,2,2,1] [6,2,1,7,5,3,4]=>[1,1,2,1,2] [6,2,1,7,5,4,3]=>[1,1,2,1,1,1] [6,2,3,1,4,5,7]=>[1,2,4] [6,2,3,1,4,7,5]=>[1,2,3,1] [6,2,3,1,5,4,7]=>[1,2,2,2] [6,2,3,1,5,7,4]=>[1,2,3,1] [6,2,3,1,7,4,5]=>[1,2,2,2] [6,2,3,1,7,5,4]=>[1,2,2,1,1] [6,2,3,4,1,5,7]=>[1,3,3] [6,2,3,4,1,7,5]=>[1,3,2,1] [6,2,3,4,5,1,7]=>[1,4,2] [6,2,3,4,5,7,1]=>[1,5,1] [6,2,3,4,7,1,5]=>[1,4,2] [6,2,3,4,7,5,1]=>[1,4,1,1] [6,2,3,5,1,4,7]=>[1,3,3] [6,2,3,5,1,7,4]=>[1,3,2,1] [6,2,3,5,4,1,7]=>[1,3,1,2] [6,2,3,5,4,7,1]=>[1,3,2,1] [6,2,3,5,7,1,4]=>[1,4,2] [6,2,3,5,7,4,1]=>[1,4,1,1] [6,2,3,7,1,4,5]=>[1,3,3] [6,2,3,7,1,5,4]=>[1,3,2,1] [6,2,3,7,4,1,5]=>[1,3,1,2] [6,2,3,7,4,5,1]=>[1,3,2,1] [6,2,3,7,5,1,4]=>[1,3,1,2] [6,2,3,7,5,4,1]=>[1,3,1,1,1] [6,2,4,1,3,5,7]=>[1,2,4] [6,2,4,1,3,7,5]=>[1,2,3,1] [6,2,4,1,5,3,7]=>[1,2,2,2] [6,2,4,1,5,7,3]=>[1,2,3,1] [6,2,4,1,7,3,5]=>[1,2,2,2] [6,2,4,1,7,5,3]=>[1,2,2,1,1] [6,2,4,3,1,5,7]=>[1,2,1,3] [6,2,4,3,1,7,5]=>[1,2,1,2,1] [6,2,4,3,5,1,7]=>[1,2,2,2] [6,2,4,3,5,7,1]=>[1,2,3,1] [6,2,4,3,7,1,5]=>[1,2,2,2] [6,2,4,3,7,5,1]=>[1,2,2,1,1] [6,2,4,5,1,3,7]=>[1,3,3] [6,2,4,5,1,7,3]=>[1,3,2,1] [6,2,4,5,3,1,7]=>[1,3,1,2] [6,2,4,5,3,7,1]=>[1,3,2,1] [6,2,4,5,7,1,3]=>[1,4,2] [6,2,4,5,7,3,1]=>[1,4,1,1] [6,2,4,7,1,3,5]=>[1,3,3] [6,2,4,7,1,5,3]=>[1,3,2,1] [6,2,4,7,3,1,5]=>[1,3,1,2] [6,2,4,7,3,5,1]=>[1,3,2,1] [6,2,4,7,5,1,3]=>[1,3,1,2] [6,2,4,7,5,3,1]=>[1,3,1,1,1] [6,2,5,1,3,4,7]=>[1,2,4] [6,2,5,1,3,7,4]=>[1,2,3,1] [6,2,5,1,4,3,7]=>[1,2,2,2] [6,2,5,1,4,7,3]=>[1,2,3,1] [6,2,5,1,7,3,4]=>[1,2,2,2] [6,2,5,1,7,4,3]=>[1,2,2,1,1] [6,2,5,3,1,4,7]=>[1,2,1,3] [6,2,5,3,1,7,4]=>[1,2,1,2,1] [6,2,5,3,4,1,7]=>[1,2,2,2] [6,2,5,3,4,7,1]=>[1,2,3,1] [6,2,5,3,7,1,4]=>[1,2,2,2] [6,2,5,3,7,4,1]=>[1,2,2,1,1] [6,2,5,4,1,3,7]=>[1,2,1,3] [6,2,5,4,1,7,3]=>[1,2,1,2,1] [6,2,5,4,3,1,7]=>[1,2,1,1,2] [6,2,5,4,3,7,1]=>[1,2,1,2,1] [6,2,5,4,7,1,3]=>[1,2,2,2] [6,2,5,4,7,3,1]=>[1,2,2,1,1] [6,2,5,7,1,3,4]=>[1,3,3] [6,2,5,7,1,4,3]=>[1,3,2,1] [6,2,5,7,3,1,4]=>[1,3,1,2] [6,2,5,7,3,4,1]=>[1,3,2,1] [6,2,5,7,4,1,3]=>[1,3,1,2] [6,2,5,7,4,3,1]=>[1,3,1,1,1] [6,2,7,1,3,4,5]=>[1,2,4] [6,2,7,1,3,5,4]=>[1,2,3,1] [6,2,7,1,4,3,5]=>[1,2,2,2] [6,2,7,1,4,5,3]=>[1,2,3,1] [6,2,7,1,5,3,4]=>[1,2,2,2] [6,2,7,1,5,4,3]=>[1,2,2,1,1] [6,2,7,3,1,4,5]=>[1,2,1,3] [6,2,7,3,1,5,4]=>[1,2,1,2,1] [6,2,7,3,4,1,5]=>[1,2,2,2] [6,2,7,3,4,5,1]=>[1,2,3,1] [6,2,7,3,5,1,4]=>[1,2,2,2] [6,2,7,3,5,4,1]=>[1,2,2,1,1] [6,2,7,4,1,3,5]=>[1,2,1,3] [6,2,7,4,1,5,3]=>[1,2,1,2,1] [6,2,7,4,3,1,5]=>[1,2,1,1,2] [6,2,7,4,3,5,1]=>[1,2,1,2,1] [6,2,7,4,5,1,3]=>[1,2,2,2] [6,2,7,4,5,3,1]=>[1,2,2,1,1] [6,2,7,5,1,3,4]=>[1,2,1,3] [6,2,7,5,1,4,3]=>[1,2,1,2,1] [6,2,7,5,3,1,4]=>[1,2,1,1,2] [6,2,7,5,3,4,1]=>[1,2,1,2,1] [6,2,7,5,4,1,3]=>[1,2,1,1,2] [6,2,7,5,4,3,1]=>[1,2,1,1,1,1] [6,3,1,2,4,5,7]=>[1,1,5] [6,3,1,2,4,7,5]=>[1,1,4,1] [6,3,1,2,5,4,7]=>[1,1,3,2] [6,3,1,2,5,7,4]=>[1,1,4,1] [6,3,1,2,7,4,5]=>[1,1,3,2] [6,3,1,2,7,5,4]=>[1,1,3,1,1] [6,3,1,4,2,5,7]=>[1,1,2,3] [6,3,1,4,2,7,5]=>[1,1,2,2,1] [6,3,1,4,5,2,7]=>[1,1,3,2] [6,3,1,4,5,7,2]=>[1,1,4,1] [6,3,1,4,7,2,5]=>[1,1,3,2] [6,3,1,4,7,5,2]=>[1,1,3,1,1] [6,3,1,5,2,4,7]=>[1,1,2,3] [6,3,1,5,2,7,4]=>[1,1,2,2,1] [6,3,1,5,4,2,7]=>[1,1,2,1,2] [6,3,1,5,4,7,2]=>[1,1,2,2,1] [6,3,1,5,7,2,4]=>[1,1,3,2] [6,3,1,5,7,4,2]=>[1,1,3,1,1] [6,3,1,7,2,4,5]=>[1,1,2,3] [6,3,1,7,2,5,4]=>[1,1,2,2,1] [6,3,1,7,4,2,5]=>[1,1,2,1,2] [6,3,1,7,4,5,2]=>[1,1,2,2,1] [6,3,1,7,5,2,4]=>[1,1,2,1,2] [6,3,1,7,5,4,2]=>[1,1,2,1,1,1] [6,3,2,1,4,5,7]=>[1,1,1,4] [6,3,2,1,4,7,5]=>[1,1,1,3,1] [6,3,2,1,5,4,7]=>[1,1,1,2,2] [6,3,2,1,5,7,4]=>[1,1,1,3,1] [6,3,2,1,7,4,5]=>[1,1,1,2,2] [6,3,2,1,7,5,4]=>[1,1,1,2,1,1] [6,3,2,4,1,5,7]=>[1,1,2,3] [6,3,2,4,1,7,5]=>[1,1,2,2,1] [6,3,2,4,5,1,7]=>[1,1,3,2] [6,3,2,4,5,7,1]=>[1,1,4,1] [6,3,2,4,7,1,5]=>[1,1,3,2] [6,3,2,4,7,5,1]=>[1,1,3,1,1] [6,3,2,5,1,4,7]=>[1,1,2,3] [6,3,2,5,1,7,4]=>[1,1,2,2,1] [6,3,2,5,4,1,7]=>[1,1,2,1,2] [6,3,2,5,4,7,1]=>[1,1,2,2,1] [6,3,2,5,7,1,4]=>[1,1,3,2] [6,3,2,5,7,4,1]=>[1,1,3,1,1] [6,3,2,7,1,4,5]=>[1,1,2,3] [6,3,2,7,1,5,4]=>[1,1,2,2,1] [6,3,2,7,4,1,5]=>[1,1,2,1,2] [6,3,2,7,4,5,1]=>[1,1,2,2,1] [6,3,2,7,5,1,4]=>[1,1,2,1,2] [6,3,2,7,5,4,1]=>[1,1,2,1,1,1] [6,3,4,1,2,5,7]=>[1,2,4] [6,3,4,1,2,7,5]=>[1,2,3,1] [6,3,4,1,5,2,7]=>[1,2,2,2] [6,3,4,1,5,7,2]=>[1,2,3,1] [6,3,4,1,7,2,5]=>[1,2,2,2] [6,3,4,1,7,5,2]=>[1,2,2,1,1] [6,3,4,2,1,5,7]=>[1,2,1,3] [6,3,4,2,1,7,5]=>[1,2,1,2,1] [6,3,4,2,5,1,7]=>[1,2,2,2] [6,3,4,2,5,7,1]=>[1,2,3,1] [6,3,4,2,7,1,5]=>[1,2,2,2] [6,3,4,2,7,5,1]=>[1,2,2,1,1] [6,3,4,5,1,2,7]=>[1,3,3] [6,3,4,5,1,7,2]=>[1,3,2,1] [6,3,4,5,2,1,7]=>[1,3,1,2] [6,3,4,5,2,7,1]=>[1,3,2,1] [6,3,4,5,7,1,2]=>[1,4,2] [6,3,4,5,7,2,1]=>[1,4,1,1] [6,3,4,7,1,2,5]=>[1,3,3] [6,3,4,7,1,5,2]=>[1,3,2,1] [6,3,4,7,2,1,5]=>[1,3,1,2] [6,3,4,7,2,5,1]=>[1,3,2,1] [6,3,4,7,5,1,2]=>[1,3,1,2] [6,3,4,7,5,2,1]=>[1,3,1,1,1] [6,3,5,1,2,4,7]=>[1,2,4] [6,3,5,1,2,7,4]=>[1,2,3,1] [6,3,5,1,4,2,7]=>[1,2,2,2] [6,3,5,1,4,7,2]=>[1,2,3,1] [6,3,5,1,7,2,4]=>[1,2,2,2] [6,3,5,1,7,4,2]=>[1,2,2,1,1] [6,3,5,2,1,4,7]=>[1,2,1,3] [6,3,5,2,1,7,4]=>[1,2,1,2,1] [6,3,5,2,4,1,7]=>[1,2,2,2] [6,3,5,2,4,7,1]=>[1,2,3,1] [6,3,5,2,7,1,4]=>[1,2,2,2] [6,3,5,2,7,4,1]=>[1,2,2,1,1] [6,3,5,4,1,2,7]=>[1,2,1,3] [6,3,5,4,1,7,2]=>[1,2,1,2,1] [6,3,5,4,2,1,7]=>[1,2,1,1,2] [6,3,5,4,2,7,1]=>[1,2,1,2,1] [6,3,5,4,7,1,2]=>[1,2,2,2] [6,3,5,4,7,2,1]=>[1,2,2,1,1] [6,3,5,7,1,2,4]=>[1,3,3] [6,3,5,7,1,4,2]=>[1,3,2,1] [6,3,5,7,2,1,4]=>[1,3,1,2] [6,3,5,7,2,4,1]=>[1,3,2,1] [6,3,5,7,4,1,2]=>[1,3,1,2] [6,3,5,7,4,2,1]=>[1,3,1,1,1] [6,3,7,1,2,4,5]=>[1,2,4] [6,3,7,1,2,5,4]=>[1,2,3,1] [6,3,7,1,4,2,5]=>[1,2,2,2] [6,3,7,1,4,5,2]=>[1,2,3,1] [6,3,7,1,5,2,4]=>[1,2,2,2] [6,3,7,1,5,4,2]=>[1,2,2,1,1] [6,3,7,2,1,4,5]=>[1,2,1,3] [6,3,7,2,1,5,4]=>[1,2,1,2,1] [6,3,7,2,4,1,5]=>[1,2,2,2] [6,3,7,2,4,5,1]=>[1,2,3,1] [6,3,7,2,5,1,4]=>[1,2,2,2] [6,3,7,2,5,4,1]=>[1,2,2,1,1] [6,3,7,4,1,2,5]=>[1,2,1,3] [6,3,7,4,1,5,2]=>[1,2,1,2,1] [6,3,7,4,2,1,5]=>[1,2,1,1,2] [6,3,7,4,2,5,1]=>[1,2,1,2,1] [6,3,7,4,5,1,2]=>[1,2,2,2] [6,3,7,4,5,2,1]=>[1,2,2,1,1] [6,3,7,5,1,2,4]=>[1,2,1,3] [6,3,7,5,1,4,2]=>[1,2,1,2,1] [6,3,7,5,2,1,4]=>[1,2,1,1,2] [6,3,7,5,2,4,1]=>[1,2,1,2,1] [6,3,7,5,4,1,2]=>[1,2,1,1,2] [6,3,7,5,4,2,1]=>[1,2,1,1,1,1] [6,4,1,2,3,5,7]=>[1,1,5] [6,4,1,2,3,7,5]=>[1,1,4,1] [6,4,1,2,5,3,7]=>[1,1,3,2] [6,4,1,2,5,7,3]=>[1,1,4,1] [6,4,1,2,7,3,5]=>[1,1,3,2] [6,4,1,2,7,5,3]=>[1,1,3,1,1] [6,4,1,3,2,5,7]=>[1,1,2,3] [6,4,1,3,2,7,5]=>[1,1,2,2,1] [6,4,1,3,5,2,7]=>[1,1,3,2] [6,4,1,3,5,7,2]=>[1,1,4,1] [6,4,1,3,7,2,5]=>[1,1,3,2] [6,4,1,3,7,5,2]=>[1,1,3,1,1] [6,4,1,5,2,3,7]=>[1,1,2,3] [6,4,1,5,2,7,3]=>[1,1,2,2,1] [6,4,1,5,3,2,7]=>[1,1,2,1,2] [6,4,1,5,3,7,2]=>[1,1,2,2,1] [6,4,1,5,7,2,3]=>[1,1,3,2] [6,4,1,5,7,3,2]=>[1,1,3,1,1] [6,4,1,7,2,3,5]=>[1,1,2,3] [6,4,1,7,2,5,3]=>[1,1,2,2,1] [6,4,1,7,3,2,5]=>[1,1,2,1,2] [6,4,1,7,3,5,2]=>[1,1,2,2,1] [6,4,1,7,5,2,3]=>[1,1,2,1,2] [6,4,1,7,5,3,2]=>[1,1,2,1,1,1] [6,4,2,1,3,5,7]=>[1,1,1,4] [6,4,2,1,3,7,5]=>[1,1,1,3,1] [6,4,2,1,5,3,7]=>[1,1,1,2,2] [6,4,2,1,5,7,3]=>[1,1,1,3,1] [6,4,2,1,7,3,5]=>[1,1,1,2,2] [6,4,2,1,7,5,3]=>[1,1,1,2,1,1] [6,4,2,3,1,5,7]=>[1,1,2,3] [6,4,2,3,1,7,5]=>[1,1,2,2,1] [6,4,2,3,5,1,7]=>[1,1,3,2] [6,4,2,3,5,7,1]=>[1,1,4,1] [6,4,2,3,7,1,5]=>[1,1,3,2] [6,4,2,3,7,5,1]=>[1,1,3,1,1] [6,4,2,5,1,3,7]=>[1,1,2,3] [6,4,2,5,1,7,3]=>[1,1,2,2,1] [6,4,2,5,3,1,7]=>[1,1,2,1,2] [6,4,2,5,3,7,1]=>[1,1,2,2,1] [6,4,2,5,7,1,3]=>[1,1,3,2] [6,4,2,5,7,3,1]=>[1,1,3,1,1] [6,4,2,7,1,3,5]=>[1,1,2,3] [6,4,2,7,1,5,3]=>[1,1,2,2,1] [6,4,2,7,3,1,5]=>[1,1,2,1,2] [6,4,2,7,3,5,1]=>[1,1,2,2,1] [6,4,2,7,5,1,3]=>[1,1,2,1,2] [6,4,2,7,5,3,1]=>[1,1,2,1,1,1] [6,4,3,1,2,5,7]=>[1,1,1,4] [6,4,3,1,2,7,5]=>[1,1,1,3,1] [6,4,3,1,5,2,7]=>[1,1,1,2,2] [6,4,3,1,5,7,2]=>[1,1,1,3,1] [6,4,3,1,7,2,5]=>[1,1,1,2,2] [6,4,3,1,7,5,2]=>[1,1,1,2,1,1] [6,4,3,2,1,5,7]=>[1,1,1,1,3] [6,4,3,2,1,7,5]=>[1,1,1,1,2,1] [6,4,3,2,5,1,7]=>[1,1,1,2,2] [6,4,3,2,5,7,1]=>[1,1,1,3,1] [6,4,3,2,7,1,5]=>[1,1,1,2,2] [6,4,3,2,7,5,1]=>[1,1,1,2,1,1] [6,4,3,5,1,2,7]=>[1,1,2,3] [6,4,3,5,1,7,2]=>[1,1,2,2,1] [6,4,3,5,2,1,7]=>[1,1,2,1,2] [6,4,3,5,2,7,1]=>[1,1,2,2,1] [6,4,3,5,7,1,2]=>[1,1,3,2] [6,4,3,5,7,2,1]=>[1,1,3,1,1] [6,4,3,7,1,2,5]=>[1,1,2,3] [6,4,3,7,1,5,2]=>[1,1,2,2,1] [6,4,3,7,2,1,5]=>[1,1,2,1,2] [6,4,3,7,2,5,1]=>[1,1,2,2,1] [6,4,3,7,5,1,2]=>[1,1,2,1,2] [6,4,3,7,5,2,1]=>[1,1,2,1,1,1] [6,4,5,1,2,3,7]=>[1,2,4] [6,4,5,1,2,7,3]=>[1,2,3,1] [6,4,5,1,3,2,7]=>[1,2,2,2] [6,4,5,1,3,7,2]=>[1,2,3,1] [6,4,5,1,7,2,3]=>[1,2,2,2] [6,4,5,1,7,3,2]=>[1,2,2,1,1] [6,4,5,2,1,3,7]=>[1,2,1,3] [6,4,5,2,1,7,3]=>[1,2,1,2,1] [6,4,5,2,3,1,7]=>[1,2,2,2] [6,4,5,2,3,7,1]=>[1,2,3,1] [6,4,5,2,7,1,3]=>[1,2,2,2] [6,4,5,2,7,3,1]=>[1,2,2,1,1] [6,4,5,3,1,2,7]=>[1,2,1,3] [6,4,5,3,1,7,2]=>[1,2,1,2,1] [6,4,5,3,2,1,7]=>[1,2,1,1,2] [6,4,5,3,2,7,1]=>[1,2,1,2,1] [6,4,5,3,7,1,2]=>[1,2,2,2] [6,4,5,3,7,2,1]=>[1,2,2,1,1] [6,4,5,7,1,2,3]=>[1,3,3] [6,4,5,7,1,3,2]=>[1,3,2,1] [6,4,5,7,2,1,3]=>[1,3,1,2] [6,4,5,7,2,3,1]=>[1,3,2,1] [6,4,5,7,3,1,2]=>[1,3,1,2] [6,4,5,7,3,2,1]=>[1,3,1,1,1] [6,4,7,1,2,3,5]=>[1,2,4] [6,4,7,1,2,5,3]=>[1,2,3,1] [6,4,7,1,3,2,5]=>[1,2,2,2] [6,4,7,1,3,5,2]=>[1,2,3,1] [6,4,7,1,5,2,3]=>[1,2,2,2] [6,4,7,1,5,3,2]=>[1,2,2,1,1] [6,4,7,2,1,3,5]=>[1,2,1,3] [6,4,7,2,1,5,3]=>[1,2,1,2,1] [6,4,7,2,3,1,5]=>[1,2,2,2] [6,4,7,2,3,5,1]=>[1,2,3,1] [6,4,7,2,5,1,3]=>[1,2,2,2] [6,4,7,2,5,3,1]=>[1,2,2,1,1] [6,4,7,3,1,2,5]=>[1,2,1,3] [6,4,7,3,1,5,2]=>[1,2,1,2,1] [6,4,7,3,2,1,5]=>[1,2,1,1,2] [6,4,7,3,2,5,1]=>[1,2,1,2,1] [6,4,7,3,5,1,2]=>[1,2,2,2] [6,4,7,3,5,2,1]=>[1,2,2,1,1] [6,4,7,5,1,2,3]=>[1,2,1,3] [6,4,7,5,1,3,2]=>[1,2,1,2,1] [6,4,7,5,2,1,3]=>[1,2,1,1,2] [6,4,7,5,2,3,1]=>[1,2,1,2,1] [6,4,7,5,3,1,2]=>[1,2,1,1,2] [6,4,7,5,3,2,1]=>[1,2,1,1,1,1] [6,5,1,2,3,4,7]=>[1,1,5] [6,5,1,2,3,7,4]=>[1,1,4,1] [6,5,1,2,4,3,7]=>[1,1,3,2] [6,5,1,2,4,7,3]=>[1,1,4,1] [6,5,1,2,7,3,4]=>[1,1,3,2] [6,5,1,2,7,4,3]=>[1,1,3,1,1] [6,5,1,3,2,4,7]=>[1,1,2,3] [6,5,1,3,2,7,4]=>[1,1,2,2,1] [6,5,1,3,4,2,7]=>[1,1,3,2] [6,5,1,3,4,7,2]=>[1,1,4,1] [6,5,1,3,7,2,4]=>[1,1,3,2] [6,5,1,3,7,4,2]=>[1,1,3,1,1] [6,5,1,4,2,3,7]=>[1,1,2,3] [6,5,1,4,2,7,3]=>[1,1,2,2,1] [6,5,1,4,3,2,7]=>[1,1,2,1,2] [6,5,1,4,3,7,2]=>[1,1,2,2,1] [6,5,1,4,7,2,3]=>[1,1,3,2] [6,5,1,4,7,3,2]=>[1,1,3,1,1] [6,5,1,7,2,3,4]=>[1,1,2,3] [6,5,1,7,2,4,3]=>[1,1,2,2,1] [6,5,1,7,3,2,4]=>[1,1,2,1,2] [6,5,1,7,3,4,2]=>[1,1,2,2,1] [6,5,1,7,4,2,3]=>[1,1,2,1,2] [6,5,1,7,4,3,2]=>[1,1,2,1,1,1] [6,5,2,1,3,4,7]=>[1,1,1,4] [6,5,2,1,3,7,4]=>[1,1,1,3,1] [6,5,2,1,4,3,7]=>[1,1,1,2,2] [6,5,2,1,4,7,3]=>[1,1,1,3,1] [6,5,2,1,7,3,4]=>[1,1,1,2,2] [6,5,2,1,7,4,3]=>[1,1,1,2,1,1] [6,5,2,3,1,4,7]=>[1,1,2,3] [6,5,2,3,1,7,4]=>[1,1,2,2,1] [6,5,2,3,4,1,7]=>[1,1,3,2] [6,5,2,3,4,7,1]=>[1,1,4,1] [6,5,2,3,7,1,4]=>[1,1,3,2] [6,5,2,3,7,4,1]=>[1,1,3,1,1] [6,5,2,4,1,3,7]=>[1,1,2,3] [6,5,2,4,1,7,3]=>[1,1,2,2,1] [6,5,2,4,3,1,7]=>[1,1,2,1,2] [6,5,2,4,3,7,1]=>[1,1,2,2,1] [6,5,2,4,7,1,3]=>[1,1,3,2] [6,5,2,4,7,3,1]=>[1,1,3,1,1] [6,5,2,7,1,3,4]=>[1,1,2,3] [6,5,2,7,1,4,3]=>[1,1,2,2,1] [6,5,2,7,3,1,4]=>[1,1,2,1,2] [6,5,2,7,3,4,1]=>[1,1,2,2,1] [6,5,2,7,4,1,3]=>[1,1,2,1,2] [6,5,2,7,4,3,1]=>[1,1,2,1,1,1] [6,5,3,1,2,4,7]=>[1,1,1,4] [6,5,3,1,2,7,4]=>[1,1,1,3,1] [6,5,3,1,4,2,7]=>[1,1,1,2,2] [6,5,3,1,4,7,2]=>[1,1,1,3,1] [6,5,3,1,7,2,4]=>[1,1,1,2,2] [6,5,3,1,7,4,2]=>[1,1,1,2,1,1] [6,5,3,2,1,4,7]=>[1,1,1,1,3] [6,5,3,2,1,7,4]=>[1,1,1,1,2,1] [6,5,3,2,4,1,7]=>[1,1,1,2,2] [6,5,3,2,4,7,1]=>[1,1,1,3,1] [6,5,3,2,7,1,4]=>[1,1,1,2,2] [6,5,3,2,7,4,1]=>[1,1,1,2,1,1] [6,5,3,4,1,2,7]=>[1,1,2,3] [6,5,3,4,1,7,2]=>[1,1,2,2,1] [6,5,3,4,2,1,7]=>[1,1,2,1,2] [6,5,3,4,2,7,1]=>[1,1,2,2,1] [6,5,3,4,7,1,2]=>[1,1,3,2] [6,5,3,4,7,2,1]=>[1,1,3,1,1] [6,5,3,7,1,2,4]=>[1,1,2,3] [6,5,3,7,1,4,2]=>[1,1,2,2,1] [6,5,3,7,2,1,4]=>[1,1,2,1,2] [6,5,3,7,2,4,1]=>[1,1,2,2,1] [6,5,3,7,4,1,2]=>[1,1,2,1,2] [6,5,3,7,4,2,1]=>[1,1,2,1,1,1] [6,5,4,1,2,3,7]=>[1,1,1,4] [6,5,4,1,2,7,3]=>[1,1,1,3,1] [6,5,4,1,3,2,7]=>[1,1,1,2,2] [6,5,4,1,3,7,2]=>[1,1,1,3,1] [6,5,4,1,7,2,3]=>[1,1,1,2,2] [6,5,4,1,7,3,2]=>[1,1,1,2,1,1] [6,5,4,2,1,3,7]=>[1,1,1,1,3] [6,5,4,2,1,7,3]=>[1,1,1,1,2,1] [6,5,4,2,3,1,7]=>[1,1,1,2,2] [6,5,4,2,3,7,1]=>[1,1,1,3,1] [6,5,4,2,7,1,3]=>[1,1,1,2,2] [6,5,4,2,7,3,1]=>[1,1,1,2,1,1] [6,5,4,3,1,2,7]=>[1,1,1,1,3] [6,5,4,3,1,7,2]=>[1,1,1,1,2,1] [6,5,4,3,2,1,7]=>[1,1,1,1,1,2] [6,5,4,3,2,7,1]=>[1,1,1,1,2,1] [6,5,4,3,7,1,2]=>[1,1,1,2,2] [6,5,4,3,7,2,1]=>[1,1,1,2,1,1] [6,5,4,7,1,2,3]=>[1,1,2,3] [6,5,4,7,1,3,2]=>[1,1,2,2,1] [6,5,4,7,2,1,3]=>[1,1,2,1,2] [6,5,4,7,2,3,1]=>[1,1,2,2,1] [6,5,4,7,3,1,2]=>[1,1,2,1,2] [6,5,4,7,3,2,1]=>[1,1,2,1,1,1] [6,5,7,1,2,3,4]=>[1,2,4] [6,5,7,1,2,4,3]=>[1,2,3,1] [6,5,7,1,3,2,4]=>[1,2,2,2] [6,5,7,1,3,4,2]=>[1,2,3,1] [6,5,7,1,4,2,3]=>[1,2,2,2] [6,5,7,1,4,3,2]=>[1,2,2,1,1] [6,5,7,2,1,3,4]=>[1,2,1,3] [6,5,7,2,1,4,3]=>[1,2,1,2,1] [6,5,7,2,3,1,4]=>[1,2,2,2] [6,5,7,2,3,4,1]=>[1,2,3,1] [6,5,7,2,4,1,3]=>[1,2,2,2] [6,5,7,2,4,3,1]=>[1,2,2,1,1] [6,5,7,3,1,2,4]=>[1,2,1,3] [6,5,7,3,1,4,2]=>[1,2,1,2,1] [6,5,7,3,2,1,4]=>[1,2,1,1,2] [6,5,7,3,2,4,1]=>[1,2,1,2,1] [6,5,7,3,4,1,2]=>[1,2,2,2] [6,5,7,3,4,2,1]=>[1,2,2,1,1] [6,5,7,4,1,2,3]=>[1,2,1,3] [6,5,7,4,1,3,2]=>[1,2,1,2,1] [6,5,7,4,2,1,3]=>[1,2,1,1,2] [6,5,7,4,2,3,1]=>[1,2,1,2,1] [6,5,7,4,3,1,2]=>[1,2,1,1,2] [6,5,7,4,3,2,1]=>[1,2,1,1,1,1] [6,7,1,2,3,4,5]=>[2,5] [6,7,1,2,3,5,4]=>[2,4,1] [6,7,1,2,4,3,5]=>[2,3,2] [6,7,1,2,4,5,3]=>[2,4,1] [6,7,1,2,5,3,4]=>[2,3,2] [6,7,1,2,5,4,3]=>[2,3,1,1] [6,7,1,3,2,4,5]=>[2,2,3] [6,7,1,3,2,5,4]=>[2,2,2,1] [6,7,1,3,4,2,5]=>[2,3,2] [6,7,1,3,4,5,2]=>[2,4,1] [6,7,1,3,5,2,4]=>[2,3,2] [6,7,1,3,5,4,2]=>[2,3,1,1] [6,7,1,4,2,3,5]=>[2,2,3] [6,7,1,4,2,5,3]=>[2,2,2,1] [6,7,1,4,3,2,5]=>[2,2,1,2] [6,7,1,4,3,5,2]=>[2,2,2,1] [6,7,1,4,5,2,3]=>[2,3,2] [6,7,1,4,5,3,2]=>[2,3,1,1] [6,7,1,5,2,3,4]=>[2,2,3] [6,7,1,5,2,4,3]=>[2,2,2,1] [6,7,1,5,3,2,4]=>[2,2,1,2] [6,7,1,5,3,4,2]=>[2,2,2,1] [6,7,1,5,4,2,3]=>[2,2,1,2] [6,7,1,5,4,3,2]=>[2,2,1,1,1] [6,7,2,1,3,4,5]=>[2,1,4] [6,7,2,1,3,5,4]=>[2,1,3,1] [6,7,2,1,4,3,5]=>[2,1,2,2] [6,7,2,1,4,5,3]=>[2,1,3,1] [6,7,2,1,5,3,4]=>[2,1,2,2] [6,7,2,1,5,4,3]=>[2,1,2,1,1] [6,7,2,3,1,4,5]=>[2,2,3] [6,7,2,3,1,5,4]=>[2,2,2,1] [6,7,2,3,4,1,5]=>[2,3,2] [6,7,2,3,4,5,1]=>[2,4,1] [6,7,2,3,5,1,4]=>[2,3,2] [6,7,2,3,5,4,1]=>[2,3,1,1] [6,7,2,4,1,3,5]=>[2,2,3] [6,7,2,4,1,5,3]=>[2,2,2,1] [6,7,2,4,3,1,5]=>[2,2,1,2] [6,7,2,4,3,5,1]=>[2,2,2,1] [6,7,2,4,5,1,3]=>[2,3,2] [6,7,2,4,5,3,1]=>[2,3,1,1] [6,7,2,5,1,3,4]=>[2,2,3] [6,7,2,5,1,4,3]=>[2,2,2,1] [6,7,2,5,3,1,4]=>[2,2,1,2] [6,7,2,5,3,4,1]=>[2,2,2,1] [6,7,2,5,4,1,3]=>[2,2,1,2] [6,7,2,5,4,3,1]=>[2,2,1,1,1] [6,7,3,1,2,4,5]=>[2,1,4] [6,7,3,1,2,5,4]=>[2,1,3,1] [6,7,3,1,4,2,5]=>[2,1,2,2] [6,7,3,1,4,5,2]=>[2,1,3,1] [6,7,3,1,5,2,4]=>[2,1,2,2] [6,7,3,1,5,4,2]=>[2,1,2,1,1] [6,7,3,2,1,4,5]=>[2,1,1,3] [6,7,3,2,1,5,4]=>[2,1,1,2,1] [6,7,3,2,4,1,5]=>[2,1,2,2] [6,7,3,2,4,5,1]=>[2,1,3,1] [6,7,3,2,5,1,4]=>[2,1,2,2] [6,7,3,2,5,4,1]=>[2,1,2,1,1] [6,7,3,4,1,2,5]=>[2,2,3] [6,7,3,4,1,5,2]=>[2,2,2,1] [6,7,3,4,2,1,5]=>[2,2,1,2] [6,7,3,4,2,5,1]=>[2,2,2,1] [6,7,3,4,5,1,2]=>[2,3,2] [6,7,3,4,5,2,1]=>[2,3,1,1] [6,7,3,5,1,2,4]=>[2,2,3] [6,7,3,5,1,4,2]=>[2,2,2,1] [6,7,3,5,2,1,4]=>[2,2,1,2] [6,7,3,5,2,4,1]=>[2,2,2,1] [6,7,3,5,4,1,2]=>[2,2,1,2] [6,7,3,5,4,2,1]=>[2,2,1,1,1] [6,7,4,1,2,3,5]=>[2,1,4] [6,7,4,1,2,5,3]=>[2,1,3,1] [6,7,4,1,3,2,5]=>[2,1,2,2] [6,7,4,1,3,5,2]=>[2,1,3,1] [6,7,4,1,5,2,3]=>[2,1,2,2] [6,7,4,1,5,3,2]=>[2,1,2,1,1] [6,7,4,2,1,3,5]=>[2,1,1,3] [6,7,4,2,1,5,3]=>[2,1,1,2,1] [6,7,4,2,3,1,5]=>[2,1,2,2] [6,7,4,2,3,5,1]=>[2,1,3,1] [6,7,4,2,5,1,3]=>[2,1,2,2] [6,7,4,2,5,3,1]=>[2,1,2,1,1] [6,7,4,3,1,2,5]=>[2,1,1,3] [6,7,4,3,1,5,2]=>[2,1,1,2,1] [6,7,4,3,2,1,5]=>[2,1,1,1,2] [6,7,4,3,2,5,1]=>[2,1,1,2,1] [6,7,4,3,5,1,2]=>[2,1,2,2] [6,7,4,3,5,2,1]=>[2,1,2,1,1] [6,7,4,5,1,2,3]=>[2,2,3] [6,7,4,5,1,3,2]=>[2,2,2,1] [6,7,4,5,2,1,3]=>[2,2,1,2] [6,7,4,5,2,3,1]=>[2,2,2,1] [6,7,4,5,3,1,2]=>[2,2,1,2] [6,7,4,5,3,2,1]=>[2,2,1,1,1] [6,7,5,1,2,3,4]=>[2,1,4] [6,7,5,1,2,4,3]=>[2,1,3,1] [6,7,5,1,3,2,4]=>[2,1,2,2] [6,7,5,1,3,4,2]=>[2,1,3,1] [6,7,5,1,4,2,3]=>[2,1,2,2] [6,7,5,1,4,3,2]=>[2,1,2,1,1] [6,7,5,2,1,3,4]=>[2,1,1,3] [6,7,5,2,1,4,3]=>[2,1,1,2,1] [6,7,5,2,3,1,4]=>[2,1,2,2] [6,7,5,2,3,4,1]=>[2,1,3,1] [6,7,5,2,4,1,3]=>[2,1,2,2] [6,7,5,2,4,3,1]=>[2,1,2,1,1] [6,7,5,3,1,2,4]=>[2,1,1,3] [6,7,5,3,1,4,2]=>[2,1,1,2,1] [6,7,5,3,2,1,4]=>[2,1,1,1,2] [6,7,5,3,2,4,1]=>[2,1,1,2,1] [6,7,5,3,4,1,2]=>[2,1,2,2] [6,7,5,3,4,2,1]=>[2,1,2,1,1] [6,7,5,4,1,2,3]=>[2,1,1,3] [6,7,5,4,1,3,2]=>[2,1,1,2,1] [6,7,5,4,2,1,3]=>[2,1,1,1,2] [6,7,5,4,2,3,1]=>[2,1,1,2,1] [6,7,5,4,3,1,2]=>[2,1,1,1,2] [6,7,5,4,3,2,1]=>[2,1,1,1,1,1] [7,1,2,3,4,5,6]=>[1,6] [7,1,2,3,4,6,5]=>[1,5,1] [7,1,2,3,5,4,6]=>[1,4,2] [7,1,2,3,5,6,4]=>[1,5,1] [7,1,2,3,6,4,5]=>[1,4,2] [7,1,2,3,6,5,4]=>[1,4,1,1] [7,1,2,4,3,5,6]=>[1,3,3] [7,1,2,4,3,6,5]=>[1,3,2,1] [7,1,2,4,5,3,6]=>[1,4,2] [7,1,2,4,5,6,3]=>[1,5,1] [7,1,2,4,6,3,5]=>[1,4,2] [7,1,2,4,6,5,3]=>[1,4,1,1] [7,1,2,5,3,4,6]=>[1,3,3] [7,1,2,5,3,6,4]=>[1,3,2,1] [7,1,2,5,4,3,6]=>[1,3,1,2] [7,1,2,5,4,6,3]=>[1,3,2,1] [7,1,2,5,6,3,4]=>[1,4,2] [7,1,2,5,6,4,3]=>[1,4,1,1] [7,1,2,6,3,4,5]=>[1,3,3] [7,1,2,6,3,5,4]=>[1,3,2,1] [7,1,2,6,4,3,5]=>[1,3,1,2] [7,1,2,6,4,5,3]=>[1,3,2,1] [7,1,2,6,5,3,4]=>[1,3,1,2] [7,1,2,6,5,4,3]=>[1,3,1,1,1] [7,1,3,2,4,5,6]=>[1,2,4] [7,1,3,2,4,6,5]=>[1,2,3,1] [7,1,3,2,5,4,6]=>[1,2,2,2] [7,1,3,2,5,6,4]=>[1,2,3,1] [7,1,3,2,6,4,5]=>[1,2,2,2] [7,1,3,2,6,5,4]=>[1,2,2,1,1] [7,1,3,4,2,5,6]=>[1,3,3] [7,1,3,4,2,6,5]=>[1,3,2,1] [7,1,3,4,5,2,6]=>[1,4,2] [7,1,3,4,5,6,2]=>[1,5,1] [7,1,3,4,6,2,5]=>[1,4,2] [7,1,3,4,6,5,2]=>[1,4,1,1] [7,1,3,5,2,4,6]=>[1,3,3] [7,1,3,5,2,6,4]=>[1,3,2,1] [7,1,3,5,4,2,6]=>[1,3,1,2] [7,1,3,5,4,6,2]=>[1,3,2,1] [7,1,3,5,6,2,4]=>[1,4,2] [7,1,3,5,6,4,2]=>[1,4,1,1] [7,1,3,6,2,4,5]=>[1,3,3] [7,1,3,6,2,5,4]=>[1,3,2,1] [7,1,3,6,4,2,5]=>[1,3,1,2] [7,1,3,6,4,5,2]=>[1,3,2,1] [7,1,3,6,5,2,4]=>[1,3,1,2] [7,1,3,6,5,4,2]=>[1,3,1,1,1] [7,1,4,2,3,5,6]=>[1,2,4] [7,1,4,2,3,6,5]=>[1,2,3,1] [7,1,4,2,5,3,6]=>[1,2,2,2] [7,1,4,2,5,6,3]=>[1,2,3,1] [7,1,4,2,6,3,5]=>[1,2,2,2] [7,1,4,2,6,5,3]=>[1,2,2,1,1] [7,1,4,3,2,5,6]=>[1,2,1,3] [7,1,4,3,2,6,5]=>[1,2,1,2,1] [7,1,4,3,5,2,6]=>[1,2,2,2] [7,1,4,3,5,6,2]=>[1,2,3,1] [7,1,4,3,6,2,5]=>[1,2,2,2] [7,1,4,3,6,5,2]=>[1,2,2,1,1] [7,1,4,5,2,3,6]=>[1,3,3] [7,1,4,5,2,6,3]=>[1,3,2,1] [7,1,4,5,3,2,6]=>[1,3,1,2] [7,1,4,5,3,6,2]=>[1,3,2,1] [7,1,4,5,6,2,3]=>[1,4,2] [7,1,4,5,6,3,2]=>[1,4,1,1] [7,1,4,6,2,3,5]=>[1,3,3] [7,1,4,6,2,5,3]=>[1,3,2,1] [7,1,4,6,3,2,5]=>[1,3,1,2] [7,1,4,6,3,5,2]=>[1,3,2,1] [7,1,4,6,5,2,3]=>[1,3,1,2] [7,1,4,6,5,3,2]=>[1,3,1,1,1] [7,1,5,2,3,4,6]=>[1,2,4] [7,1,5,2,3,6,4]=>[1,2,3,1] [7,1,5,2,4,3,6]=>[1,2,2,2] [7,1,5,2,4,6,3]=>[1,2,3,1] [7,1,5,2,6,3,4]=>[1,2,2,2] [7,1,5,2,6,4,3]=>[1,2,2,1,1] [7,1,5,3,2,4,6]=>[1,2,1,3] [7,1,5,3,2,6,4]=>[1,2,1,2,1] [7,1,5,3,4,2,6]=>[1,2,2,2] [7,1,5,3,4,6,2]=>[1,2,3,1] [7,1,5,3,6,2,4]=>[1,2,2,2] [7,1,5,3,6,4,2]=>[1,2,2,1,1] [7,1,5,4,2,3,6]=>[1,2,1,3] [7,1,5,4,2,6,3]=>[1,2,1,2,1] [7,1,5,4,3,2,6]=>[1,2,1,1,2] [7,1,5,4,3,6,2]=>[1,2,1,2,1] [7,1,5,4,6,2,3]=>[1,2,2,2] [7,1,5,4,6,3,2]=>[1,2,2,1,1] [7,1,5,6,2,3,4]=>[1,3,3] [7,1,5,6,2,4,3]=>[1,3,2,1] [7,1,5,6,3,2,4]=>[1,3,1,2] [7,1,5,6,3,4,2]=>[1,3,2,1] [7,1,5,6,4,2,3]=>[1,3,1,2] [7,1,5,6,4,3,2]=>[1,3,1,1,1] [7,1,6,2,3,4,5]=>[1,2,4] [7,1,6,2,3,5,4]=>[1,2,3,1] [7,1,6,2,4,3,5]=>[1,2,2,2] [7,1,6,2,4,5,3]=>[1,2,3,1] [7,1,6,2,5,3,4]=>[1,2,2,2] [7,1,6,2,5,4,3]=>[1,2,2,1,1] [7,1,6,3,2,4,5]=>[1,2,1,3] [7,1,6,3,2,5,4]=>[1,2,1,2,1] [7,1,6,3,4,2,5]=>[1,2,2,2] [7,1,6,3,4,5,2]=>[1,2,3,1] [7,1,6,3,5,2,4]=>[1,2,2,2] [7,1,6,3,5,4,2]=>[1,2,2,1,1] [7,1,6,4,2,3,5]=>[1,2,1,3] [7,1,6,4,2,5,3]=>[1,2,1,2,1] [7,1,6,4,3,2,5]=>[1,2,1,1,2] [7,1,6,4,3,5,2]=>[1,2,1,2,1] [7,1,6,4,5,2,3]=>[1,2,2,2] [7,1,6,4,5,3,2]=>[1,2,2,1,1] [7,1,6,5,2,3,4]=>[1,2,1,3] [7,1,6,5,2,4,3]=>[1,2,1,2,1] [7,1,6,5,3,2,4]=>[1,2,1,1,2] [7,1,6,5,3,4,2]=>[1,2,1,2,1] [7,1,6,5,4,2,3]=>[1,2,1,1,2] [7,1,6,5,4,3,2]=>[1,2,1,1,1,1] [7,2,1,3,4,5,6]=>[1,1,5] [7,2,1,3,4,6,5]=>[1,1,4,1] [7,2,1,3,5,4,6]=>[1,1,3,2] [7,2,1,3,5,6,4]=>[1,1,4,1] [7,2,1,3,6,4,5]=>[1,1,3,2] [7,2,1,3,6,5,4]=>[1,1,3,1,1] [7,2,1,4,3,5,6]=>[1,1,2,3] [7,2,1,4,3,6,5]=>[1,1,2,2,1] [7,2,1,4,5,3,6]=>[1,1,3,2] [7,2,1,4,5,6,3]=>[1,1,4,1] [7,2,1,4,6,3,5]=>[1,1,3,2] [7,2,1,4,6,5,3]=>[1,1,3,1,1] [7,2,1,5,3,4,6]=>[1,1,2,3] [7,2,1,5,3,6,4]=>[1,1,2,2,1] [7,2,1,5,4,3,6]=>[1,1,2,1,2] [7,2,1,5,4,6,3]=>[1,1,2,2,1] [7,2,1,5,6,3,4]=>[1,1,3,2] [7,2,1,5,6,4,3]=>[1,1,3,1,1] [7,2,1,6,3,4,5]=>[1,1,2,3] [7,2,1,6,3,5,4]=>[1,1,2,2,1] [7,2,1,6,4,3,5]=>[1,1,2,1,2] [7,2,1,6,4,5,3]=>[1,1,2,2,1] [7,2,1,6,5,3,4]=>[1,1,2,1,2] [7,2,1,6,5,4,3]=>[1,1,2,1,1,1] [7,2,3,1,4,5,6]=>[1,2,4] [7,2,3,1,4,6,5]=>[1,2,3,1] [7,2,3,1,5,4,6]=>[1,2,2,2] [7,2,3,1,5,6,4]=>[1,2,3,1] [7,2,3,1,6,4,5]=>[1,2,2,2] [7,2,3,1,6,5,4]=>[1,2,2,1,1] [7,2,3,4,1,5,6]=>[1,3,3] [7,2,3,4,1,6,5]=>[1,3,2,1] [7,2,3,4,5,1,6]=>[1,4,2] [7,2,3,4,5,6,1]=>[1,5,1] [7,2,3,4,6,1,5]=>[1,4,2] [7,2,3,4,6,5,1]=>[1,4,1,1] [7,2,3,5,1,4,6]=>[1,3,3] [7,2,3,5,1,6,4]=>[1,3,2,1] [7,2,3,5,4,1,6]=>[1,3,1,2] [7,2,3,5,4,6,1]=>[1,3,2,1] [7,2,3,5,6,1,4]=>[1,4,2] [7,2,3,5,6,4,1]=>[1,4,1,1] [7,2,3,6,1,4,5]=>[1,3,3] [7,2,3,6,1,5,4]=>[1,3,2,1] [7,2,3,6,4,1,5]=>[1,3,1,2] [7,2,3,6,4,5,1]=>[1,3,2,1] [7,2,3,6,5,1,4]=>[1,3,1,2] [7,2,3,6,5,4,1]=>[1,3,1,1,1] [7,2,4,1,3,5,6]=>[1,2,4] [7,2,4,1,3,6,5]=>[1,2,3,1] [7,2,4,1,5,3,6]=>[1,2,2,2] [7,2,4,1,5,6,3]=>[1,2,3,1] [7,2,4,1,6,3,5]=>[1,2,2,2] [7,2,4,1,6,5,3]=>[1,2,2,1,1] [7,2,4,3,1,5,6]=>[1,2,1,3] [7,2,4,3,1,6,5]=>[1,2,1,2,1] [7,2,4,3,5,1,6]=>[1,2,2,2] [7,2,4,3,5,6,1]=>[1,2,3,1] [7,2,4,3,6,1,5]=>[1,2,2,2] [7,2,4,3,6,5,1]=>[1,2,2,1,1] [7,2,4,5,1,3,6]=>[1,3,3] [7,2,4,5,1,6,3]=>[1,3,2,1] [7,2,4,5,3,1,6]=>[1,3,1,2] [7,2,4,5,3,6,1]=>[1,3,2,1] [7,2,4,5,6,1,3]=>[1,4,2] [7,2,4,5,6,3,1]=>[1,4,1,1] [7,2,4,6,1,3,5]=>[1,3,3] [7,2,4,6,1,5,3]=>[1,3,2,1] [7,2,4,6,3,1,5]=>[1,3,1,2] [7,2,4,6,3,5,1]=>[1,3,2,1] [7,2,4,6,5,1,3]=>[1,3,1,2] [7,2,4,6,5,3,1]=>[1,3,1,1,1] [7,2,5,1,3,4,6]=>[1,2,4] [7,2,5,1,3,6,4]=>[1,2,3,1] [7,2,5,1,4,3,6]=>[1,2,2,2] [7,2,5,1,4,6,3]=>[1,2,3,1] [7,2,5,1,6,3,4]=>[1,2,2,2] [7,2,5,1,6,4,3]=>[1,2,2,1,1] [7,2,5,3,1,4,6]=>[1,2,1,3] [7,2,5,3,1,6,4]=>[1,2,1,2,1] [7,2,5,3,4,1,6]=>[1,2,2,2] [7,2,5,3,4,6,1]=>[1,2,3,1] [7,2,5,3,6,1,4]=>[1,2,2,2] [7,2,5,3,6,4,1]=>[1,2,2,1,1] [7,2,5,4,1,3,6]=>[1,2,1,3] [7,2,5,4,1,6,3]=>[1,2,1,2,1] [7,2,5,4,3,1,6]=>[1,2,1,1,2] [7,2,5,4,3,6,1]=>[1,2,1,2,1] [7,2,5,4,6,1,3]=>[1,2,2,2] [7,2,5,4,6,3,1]=>[1,2,2,1,1] [7,2,5,6,1,3,4]=>[1,3,3] [7,2,5,6,1,4,3]=>[1,3,2,1] [7,2,5,6,3,1,4]=>[1,3,1,2] [7,2,5,6,3,4,1]=>[1,3,2,1] [7,2,5,6,4,1,3]=>[1,3,1,2] [7,2,5,6,4,3,1]=>[1,3,1,1,1] [7,2,6,1,3,4,5]=>[1,2,4] [7,2,6,1,3,5,4]=>[1,2,3,1] [7,2,6,1,4,3,5]=>[1,2,2,2] [7,2,6,1,4,5,3]=>[1,2,3,1] [7,2,6,1,5,3,4]=>[1,2,2,2] [7,2,6,1,5,4,3]=>[1,2,2,1,1] [7,2,6,3,1,4,5]=>[1,2,1,3] [7,2,6,3,1,5,4]=>[1,2,1,2,1] [7,2,6,3,4,1,5]=>[1,2,2,2] [7,2,6,3,4,5,1]=>[1,2,3,1] [7,2,6,3,5,1,4]=>[1,2,2,2] [7,2,6,3,5,4,1]=>[1,2,2,1,1] [7,2,6,4,1,3,5]=>[1,2,1,3] [7,2,6,4,1,5,3]=>[1,2,1,2,1] [7,2,6,4,3,1,5]=>[1,2,1,1,2] [7,2,6,4,3,5,1]=>[1,2,1,2,1] [7,2,6,4,5,1,3]=>[1,2,2,2] [7,2,6,4,5,3,1]=>[1,2,2,1,1] [7,2,6,5,1,3,4]=>[1,2,1,3] [7,2,6,5,1,4,3]=>[1,2,1,2,1] [7,2,6,5,3,1,4]=>[1,2,1,1,2] [7,2,6,5,3,4,1]=>[1,2,1,2,1] [7,2,6,5,4,1,3]=>[1,2,1,1,2] [7,2,6,5,4,3,1]=>[1,2,1,1,1,1] [7,3,1,2,4,5,6]=>[1,1,5] [7,3,1,2,4,6,5]=>[1,1,4,1] [7,3,1,2,5,4,6]=>[1,1,3,2] [7,3,1,2,5,6,4]=>[1,1,4,1] [7,3,1,2,6,4,5]=>[1,1,3,2] [7,3,1,2,6,5,4]=>[1,1,3,1,1] [7,3,1,4,2,5,6]=>[1,1,2,3] [7,3,1,4,2,6,5]=>[1,1,2,2,1] [7,3,1,4,5,2,6]=>[1,1,3,2] [7,3,1,4,5,6,2]=>[1,1,4,1] [7,3,1,4,6,2,5]=>[1,1,3,2] [7,3,1,4,6,5,2]=>[1,1,3,1,1] [7,3,1,5,2,4,6]=>[1,1,2,3] [7,3,1,5,2,6,4]=>[1,1,2,2,1] [7,3,1,5,4,2,6]=>[1,1,2,1,2] [7,3,1,5,4,6,2]=>[1,1,2,2,1] [7,3,1,5,6,2,4]=>[1,1,3,2] [7,3,1,5,6,4,2]=>[1,1,3,1,1] [7,3,1,6,2,4,5]=>[1,1,2,3] [7,3,1,6,2,5,4]=>[1,1,2,2,1] [7,3,1,6,4,2,5]=>[1,1,2,1,2] [7,3,1,6,4,5,2]=>[1,1,2,2,1] [7,3,1,6,5,2,4]=>[1,1,2,1,2] [7,3,1,6,5,4,2]=>[1,1,2,1,1,1] [7,3,2,1,4,5,6]=>[1,1,1,4] [7,3,2,1,4,6,5]=>[1,1,1,3,1] [7,3,2,1,5,4,6]=>[1,1,1,2,2] [7,3,2,1,5,6,4]=>[1,1,1,3,1] [7,3,2,1,6,4,5]=>[1,1,1,2,2] [7,3,2,1,6,5,4]=>[1,1,1,2,1,1] [7,3,2,4,1,5,6]=>[1,1,2,3] [7,3,2,4,1,6,5]=>[1,1,2,2,1] [7,3,2,4,5,1,6]=>[1,1,3,2] [7,3,2,4,5,6,1]=>[1,1,4,1] [7,3,2,4,6,1,5]=>[1,1,3,2] [7,3,2,4,6,5,1]=>[1,1,3,1,1] [7,3,2,5,1,4,6]=>[1,1,2,3] [7,3,2,5,1,6,4]=>[1,1,2,2,1] [7,3,2,5,4,1,6]=>[1,1,2,1,2] [7,3,2,5,4,6,1]=>[1,1,2,2,1] [7,3,2,5,6,1,4]=>[1,1,3,2] [7,3,2,5,6,4,1]=>[1,1,3,1,1] [7,3,2,6,1,4,5]=>[1,1,2,3] [7,3,2,6,1,5,4]=>[1,1,2,2,1] [7,3,2,6,4,1,5]=>[1,1,2,1,2] [7,3,2,6,4,5,1]=>[1,1,2,2,1] [7,3,2,6,5,1,4]=>[1,1,2,1,2] [7,3,2,6,5,4,1]=>[1,1,2,1,1,1] [7,3,4,1,2,5,6]=>[1,2,4] [7,3,4,1,2,6,5]=>[1,2,3,1] [7,3,4,1,5,2,6]=>[1,2,2,2] [7,3,4,1,5,6,2]=>[1,2,3,1] [7,3,4,1,6,2,5]=>[1,2,2,2] [7,3,4,1,6,5,2]=>[1,2,2,1,1] [7,3,4,2,1,5,6]=>[1,2,1,3] [7,3,4,2,1,6,5]=>[1,2,1,2,1] [7,3,4,2,5,1,6]=>[1,2,2,2] [7,3,4,2,5,6,1]=>[1,2,3,1] [7,3,4,2,6,1,5]=>[1,2,2,2] [7,3,4,2,6,5,1]=>[1,2,2,1,1] [7,3,4,5,1,2,6]=>[1,3,3] [7,3,4,5,1,6,2]=>[1,3,2,1] [7,3,4,5,2,1,6]=>[1,3,1,2] [7,3,4,5,2,6,1]=>[1,3,2,1] [7,3,4,5,6,1,2]=>[1,4,2] [7,3,4,5,6,2,1]=>[1,4,1,1] [7,3,4,6,1,2,5]=>[1,3,3] [7,3,4,6,1,5,2]=>[1,3,2,1] [7,3,4,6,2,1,5]=>[1,3,1,2] [7,3,4,6,2,5,1]=>[1,3,2,1] [7,3,4,6,5,1,2]=>[1,3,1,2] [7,3,4,6,5,2,1]=>[1,3,1,1,1] [7,3,5,1,2,4,6]=>[1,2,4] [7,3,5,1,2,6,4]=>[1,2,3,1] [7,3,5,1,4,2,6]=>[1,2,2,2] [7,3,5,1,4,6,2]=>[1,2,3,1] [7,3,5,1,6,2,4]=>[1,2,2,2] [7,3,5,1,6,4,2]=>[1,2,2,1,1] [7,3,5,2,1,4,6]=>[1,2,1,3] [7,3,5,2,1,6,4]=>[1,2,1,2,1] [7,3,5,2,4,1,6]=>[1,2,2,2] [7,3,5,2,4,6,1]=>[1,2,3,1] [7,3,5,2,6,1,4]=>[1,2,2,2] [7,3,5,2,6,4,1]=>[1,2,2,1,1] [7,3,5,4,1,2,6]=>[1,2,1,3] [7,3,5,4,1,6,2]=>[1,2,1,2,1] [7,3,5,4,2,1,6]=>[1,2,1,1,2] [7,3,5,4,2,6,1]=>[1,2,1,2,1] [7,3,5,4,6,1,2]=>[1,2,2,2] [7,3,5,4,6,2,1]=>[1,2,2,1,1] [7,3,5,6,1,2,4]=>[1,3,3] [7,3,5,6,1,4,2]=>[1,3,2,1] [7,3,5,6,2,1,4]=>[1,3,1,2] [7,3,5,6,2,4,1]=>[1,3,2,1] [7,3,5,6,4,1,2]=>[1,3,1,2] [7,3,5,6,4,2,1]=>[1,3,1,1,1] [7,3,6,1,2,4,5]=>[1,2,4] [7,3,6,1,2,5,4]=>[1,2,3,1] [7,3,6,1,4,2,5]=>[1,2,2,2] [7,3,6,1,4,5,2]=>[1,2,3,1] [7,3,6,1,5,2,4]=>[1,2,2,2] [7,3,6,1,5,4,2]=>[1,2,2,1,1] [7,3,6,2,1,4,5]=>[1,2,1,3] [7,3,6,2,1,5,4]=>[1,2,1,2,1] [7,3,6,2,4,1,5]=>[1,2,2,2] [7,3,6,2,4,5,1]=>[1,2,3,1] [7,3,6,2,5,1,4]=>[1,2,2,2] [7,3,6,2,5,4,1]=>[1,2,2,1,1] [7,3,6,4,1,2,5]=>[1,2,1,3] [7,3,6,4,1,5,2]=>[1,2,1,2,1] [7,3,6,4,2,1,5]=>[1,2,1,1,2] [7,3,6,4,2,5,1]=>[1,2,1,2,1] [7,3,6,4,5,1,2]=>[1,2,2,2] [7,3,6,4,5,2,1]=>[1,2,2,1,1] [7,3,6,5,1,2,4]=>[1,2,1,3] [7,3,6,5,1,4,2]=>[1,2,1,2,1] [7,3,6,5,2,1,4]=>[1,2,1,1,2] [7,3,6,5,2,4,1]=>[1,2,1,2,1] [7,3,6,5,4,1,2]=>[1,2,1,1,2] [7,3,6,5,4,2,1]=>[1,2,1,1,1,1] [7,4,1,2,3,5,6]=>[1,1,5] [7,4,1,2,3,6,5]=>[1,1,4,1] [7,4,1,2,5,3,6]=>[1,1,3,2] [7,4,1,2,5,6,3]=>[1,1,4,1] [7,4,1,2,6,3,5]=>[1,1,3,2] [7,4,1,2,6,5,3]=>[1,1,3,1,1] [7,4,1,3,2,5,6]=>[1,1,2,3] [7,4,1,3,2,6,5]=>[1,1,2,2,1] [7,4,1,3,5,2,6]=>[1,1,3,2] [7,4,1,3,5,6,2]=>[1,1,4,1] [7,4,1,3,6,2,5]=>[1,1,3,2] [7,4,1,3,6,5,2]=>[1,1,3,1,1] [7,4,1,5,2,3,6]=>[1,1,2,3] [7,4,1,5,2,6,3]=>[1,1,2,2,1] [7,4,1,5,3,2,6]=>[1,1,2,1,2] [7,4,1,5,3,6,2]=>[1,1,2,2,1] [7,4,1,5,6,2,3]=>[1,1,3,2] [7,4,1,5,6,3,2]=>[1,1,3,1,1] [7,4,1,6,2,3,5]=>[1,1,2,3] [7,4,1,6,2,5,3]=>[1,1,2,2,1] [7,4,1,6,3,2,5]=>[1,1,2,1,2] [7,4,1,6,3,5,2]=>[1,1,2,2,1] [7,4,1,6,5,2,3]=>[1,1,2,1,2] [7,4,1,6,5,3,2]=>[1,1,2,1,1,1] [7,4,2,1,3,5,6]=>[1,1,1,4] [7,4,2,1,3,6,5]=>[1,1,1,3,1] [7,4,2,1,5,3,6]=>[1,1,1,2,2] [7,4,2,1,5,6,3]=>[1,1,1,3,1] [7,4,2,1,6,3,5]=>[1,1,1,2,2] [7,4,2,1,6,5,3]=>[1,1,1,2,1,1] [7,4,2,3,1,5,6]=>[1,1,2,3] [7,4,2,3,1,6,5]=>[1,1,2,2,1] [7,4,2,3,5,1,6]=>[1,1,3,2] [7,4,2,3,5,6,1]=>[1,1,4,1] [7,4,2,3,6,1,5]=>[1,1,3,2] [7,4,2,3,6,5,1]=>[1,1,3,1,1] [7,4,2,5,1,3,6]=>[1,1,2,3] [7,4,2,5,1,6,3]=>[1,1,2,2,1] [7,4,2,5,3,1,6]=>[1,1,2,1,2] [7,4,2,5,3,6,1]=>[1,1,2,2,1] [7,4,2,5,6,1,3]=>[1,1,3,2] [7,4,2,5,6,3,1]=>[1,1,3,1,1] [7,4,2,6,1,3,5]=>[1,1,2,3] [7,4,2,6,1,5,3]=>[1,1,2,2,1] [7,4,2,6,3,1,5]=>[1,1,2,1,2] [7,4,2,6,3,5,1]=>[1,1,2,2,1] [7,4,2,6,5,1,3]=>[1,1,2,1,2] [7,4,2,6,5,3,1]=>[1,1,2,1,1,1] [7,4,3,1,2,5,6]=>[1,1,1,4] [7,4,3,1,2,6,5]=>[1,1,1,3,1] [7,4,3,1,5,2,6]=>[1,1,1,2,2] [7,4,3,1,5,6,2]=>[1,1,1,3,1] [7,4,3,1,6,2,5]=>[1,1,1,2,2] [7,4,3,1,6,5,2]=>[1,1,1,2,1,1] [7,4,3,2,1,5,6]=>[1,1,1,1,3] [7,4,3,2,1,6,5]=>[1,1,1,1,2,1] [7,4,3,2,5,1,6]=>[1,1,1,2,2] [7,4,3,2,5,6,1]=>[1,1,1,3,1] [7,4,3,2,6,1,5]=>[1,1,1,2,2] [7,4,3,2,6,5,1]=>[1,1,1,2,1,1] [7,4,3,5,1,2,6]=>[1,1,2,3] [7,4,3,5,1,6,2]=>[1,1,2,2,1] [7,4,3,5,2,1,6]=>[1,1,2,1,2] [7,4,3,5,2,6,1]=>[1,1,2,2,1] [7,4,3,5,6,1,2]=>[1,1,3,2] [7,4,3,5,6,2,1]=>[1,1,3,1,1] [7,4,3,6,1,2,5]=>[1,1,2,3] [7,4,3,6,1,5,2]=>[1,1,2,2,1] [7,4,3,6,2,1,5]=>[1,1,2,1,2] [7,4,3,6,2,5,1]=>[1,1,2,2,1] [7,4,3,6,5,1,2]=>[1,1,2,1,2] [7,4,3,6,5,2,1]=>[1,1,2,1,1,1] [7,4,5,1,2,3,6]=>[1,2,4] [7,4,5,1,2,6,3]=>[1,2,3,1] [7,4,5,1,3,2,6]=>[1,2,2,2] [7,4,5,1,3,6,2]=>[1,2,3,1] [7,4,5,1,6,2,3]=>[1,2,2,2] [7,4,5,1,6,3,2]=>[1,2,2,1,1] [7,4,5,2,1,3,6]=>[1,2,1,3] [7,4,5,2,1,6,3]=>[1,2,1,2,1] [7,4,5,2,3,1,6]=>[1,2,2,2] [7,4,5,2,3,6,1]=>[1,2,3,1] [7,4,5,2,6,1,3]=>[1,2,2,2] [7,4,5,2,6,3,1]=>[1,2,2,1,1] [7,4,5,3,1,2,6]=>[1,2,1,3] [7,4,5,3,1,6,2]=>[1,2,1,2,1] [7,4,5,3,2,1,6]=>[1,2,1,1,2] [7,4,5,3,2,6,1]=>[1,2,1,2,1] [7,4,5,3,6,1,2]=>[1,2,2,2] [7,4,5,3,6,2,1]=>[1,2,2,1,1] [7,4,5,6,1,2,3]=>[1,3,3] [7,4,5,6,1,3,2]=>[1,3,2,1] [7,4,5,6,2,1,3]=>[1,3,1,2] [7,4,5,6,2,3,1]=>[1,3,2,1] [7,4,5,6,3,1,2]=>[1,3,1,2] [7,4,5,6,3,2,1]=>[1,3,1,1,1] [7,4,6,1,2,3,5]=>[1,2,4] [7,4,6,1,2,5,3]=>[1,2,3,1] [7,4,6,1,3,2,5]=>[1,2,2,2] [7,4,6,1,3,5,2]=>[1,2,3,1] [7,4,6,1,5,2,3]=>[1,2,2,2] [7,4,6,1,5,3,2]=>[1,2,2,1,1] [7,4,6,2,1,3,5]=>[1,2,1,3] [7,4,6,2,1,5,3]=>[1,2,1,2,1] [7,4,6,2,3,1,5]=>[1,2,2,2] [7,4,6,2,3,5,1]=>[1,2,3,1] [7,4,6,2,5,1,3]=>[1,2,2,2] [7,4,6,2,5,3,1]=>[1,2,2,1,1] [7,4,6,3,1,2,5]=>[1,2,1,3] [7,4,6,3,1,5,2]=>[1,2,1,2,1] [7,4,6,3,2,1,5]=>[1,2,1,1,2] [7,4,6,3,2,5,1]=>[1,2,1,2,1] [7,4,6,3,5,1,2]=>[1,2,2,2] [7,4,6,3,5,2,1]=>[1,2,2,1,1] [7,4,6,5,1,2,3]=>[1,2,1,3] [7,4,6,5,1,3,2]=>[1,2,1,2,1] [7,4,6,5,2,1,3]=>[1,2,1,1,2] [7,4,6,5,2,3,1]=>[1,2,1,2,1] [7,4,6,5,3,1,2]=>[1,2,1,1,2] [7,4,6,5,3,2,1]=>[1,2,1,1,1,1] [7,5,1,2,3,4,6]=>[1,1,5] [7,5,1,2,3,6,4]=>[1,1,4,1] [7,5,1,2,4,3,6]=>[1,1,3,2] [7,5,1,2,4,6,3]=>[1,1,4,1] [7,5,1,2,6,3,4]=>[1,1,3,2] [7,5,1,2,6,4,3]=>[1,1,3,1,1] [7,5,1,3,2,4,6]=>[1,1,2,3] [7,5,1,3,2,6,4]=>[1,1,2,2,1] [7,5,1,3,4,2,6]=>[1,1,3,2] [7,5,1,3,4,6,2]=>[1,1,4,1] [7,5,1,3,6,2,4]=>[1,1,3,2] [7,5,1,3,6,4,2]=>[1,1,3,1,1] [7,5,1,4,2,3,6]=>[1,1,2,3] [7,5,1,4,2,6,3]=>[1,1,2,2,1] [7,5,1,4,3,2,6]=>[1,1,2,1,2] [7,5,1,4,3,6,2]=>[1,1,2,2,1] [7,5,1,4,6,2,3]=>[1,1,3,2] [7,5,1,4,6,3,2]=>[1,1,3,1,1] [7,5,1,6,2,3,4]=>[1,1,2,3] [7,5,1,6,2,4,3]=>[1,1,2,2,1] [7,5,1,6,3,2,4]=>[1,1,2,1,2] [7,5,1,6,3,4,2]=>[1,1,2,2,1] [7,5,1,6,4,2,3]=>[1,1,2,1,2] [7,5,1,6,4,3,2]=>[1,1,2,1,1,1] [7,5,2,1,3,4,6]=>[1,1,1,4] [7,5,2,1,3,6,4]=>[1,1,1,3,1] [7,5,2,1,4,3,6]=>[1,1,1,2,2] [7,5,2,1,4,6,3]=>[1,1,1,3,1] [7,5,2,1,6,3,4]=>[1,1,1,2,2] [7,5,2,1,6,4,3]=>[1,1,1,2,1,1] [7,5,2,3,1,4,6]=>[1,1,2,3] [7,5,2,3,1,6,4]=>[1,1,2,2,1] [7,5,2,3,4,1,6]=>[1,1,3,2] [7,5,2,3,4,6,1]=>[1,1,4,1] [7,5,2,3,6,1,4]=>[1,1,3,2] [7,5,2,3,6,4,1]=>[1,1,3,1,1] [7,5,2,4,1,3,6]=>[1,1,2,3] [7,5,2,4,1,6,3]=>[1,1,2,2,1] [7,5,2,4,3,1,6]=>[1,1,2,1,2] [7,5,2,4,3,6,1]=>[1,1,2,2,1] [7,5,2,4,6,1,3]=>[1,1,3,2] [7,5,2,4,6,3,1]=>[1,1,3,1,1] [7,5,2,6,1,3,4]=>[1,1,2,3] [7,5,2,6,1,4,3]=>[1,1,2,2,1] [7,5,2,6,3,1,4]=>[1,1,2,1,2] [7,5,2,6,3,4,1]=>[1,1,2,2,1] [7,5,2,6,4,1,3]=>[1,1,2,1,2] [7,5,2,6,4,3,1]=>[1,1,2,1,1,1] [7,5,3,1,2,4,6]=>[1,1,1,4] [7,5,3,1,2,6,4]=>[1,1,1,3,1] [7,5,3,1,4,2,6]=>[1,1,1,2,2] [7,5,3,1,4,6,2]=>[1,1,1,3,1] [7,5,3,1,6,2,4]=>[1,1,1,2,2] [7,5,3,1,6,4,2]=>[1,1,1,2,1,1] [7,5,3,2,1,4,6]=>[1,1,1,1,3] [7,5,3,2,1,6,4]=>[1,1,1,1,2,1] [7,5,3,2,4,1,6]=>[1,1,1,2,2] [7,5,3,2,4,6,1]=>[1,1,1,3,1] [7,5,3,2,6,1,4]=>[1,1,1,2,2] [7,5,3,2,6,4,1]=>[1,1,1,2,1,1] [7,5,3,4,1,2,6]=>[1,1,2,3] [7,5,3,4,1,6,2]=>[1,1,2,2,1] [7,5,3,4,2,1,6]=>[1,1,2,1,2] [7,5,3,4,2,6,1]=>[1,1,2,2,1] [7,5,3,4,6,1,2]=>[1,1,3,2] [7,5,3,4,6,2,1]=>[1,1,3,1,1] [7,5,3,6,1,2,4]=>[1,1,2,3] [7,5,3,6,1,4,2]=>[1,1,2,2,1] [7,5,3,6,2,1,4]=>[1,1,2,1,2] [7,5,3,6,2,4,1]=>[1,1,2,2,1] [7,5,3,6,4,1,2]=>[1,1,2,1,2] [7,5,3,6,4,2,1]=>[1,1,2,1,1,1] [7,5,4,1,2,3,6]=>[1,1,1,4] [7,5,4,1,2,6,3]=>[1,1,1,3,1] [7,5,4,1,3,2,6]=>[1,1,1,2,2] [7,5,4,1,3,6,2]=>[1,1,1,3,1] [7,5,4,1,6,2,3]=>[1,1,1,2,2] [7,5,4,1,6,3,2]=>[1,1,1,2,1,1] [7,5,4,2,1,3,6]=>[1,1,1,1,3] [7,5,4,2,1,6,3]=>[1,1,1,1,2,1] [7,5,4,2,3,1,6]=>[1,1,1,2,2] [7,5,4,2,3,6,1]=>[1,1,1,3,1] [7,5,4,2,6,1,3]=>[1,1,1,2,2] [7,5,4,2,6,3,1]=>[1,1,1,2,1,1] [7,5,4,3,1,2,6]=>[1,1,1,1,3] [7,5,4,3,1,6,2]=>[1,1,1,1,2,1] [7,5,4,3,2,1,6]=>[1,1,1,1,1,2] [7,5,4,3,2,6,1]=>[1,1,1,1,2,1] [7,5,4,3,6,1,2]=>[1,1,1,2,2] [7,5,4,3,6,2,1]=>[1,1,1,2,1,1] [7,5,4,6,1,2,3]=>[1,1,2,3] [7,5,4,6,1,3,2]=>[1,1,2,2,1] [7,5,4,6,2,1,3]=>[1,1,2,1,2] [7,5,4,6,2,3,1]=>[1,1,2,2,1] [7,5,4,6,3,1,2]=>[1,1,2,1,2] [7,5,4,6,3,2,1]=>[1,1,2,1,1,1] [7,5,6,1,2,3,4]=>[1,2,4] [7,5,6,1,2,4,3]=>[1,2,3,1] [7,5,6,1,3,2,4]=>[1,2,2,2] [7,5,6,1,3,4,2]=>[1,2,3,1] [7,5,6,1,4,2,3]=>[1,2,2,2] [7,5,6,1,4,3,2]=>[1,2,2,1,1] [7,5,6,2,1,3,4]=>[1,2,1,3] [7,5,6,2,1,4,3]=>[1,2,1,2,1] [7,5,6,2,3,1,4]=>[1,2,2,2] [7,5,6,2,3,4,1]=>[1,2,3,1] [7,5,6,2,4,1,3]=>[1,2,2,2] [7,5,6,2,4,3,1]=>[1,2,2,1,1] [7,5,6,3,1,2,4]=>[1,2,1,3] [7,5,6,3,1,4,2]=>[1,2,1,2,1] [7,5,6,3,2,1,4]=>[1,2,1,1,2] [7,5,6,3,2,4,1]=>[1,2,1,2,1] [7,5,6,3,4,1,2]=>[1,2,2,2] [7,5,6,3,4,2,1]=>[1,2,2,1,1] [7,5,6,4,1,2,3]=>[1,2,1,3] [7,5,6,4,1,3,2]=>[1,2,1,2,1] [7,5,6,4,2,1,3]=>[1,2,1,1,2] [7,5,6,4,2,3,1]=>[1,2,1,2,1] [7,5,6,4,3,1,2]=>[1,2,1,1,2] [7,5,6,4,3,2,1]=>[1,2,1,1,1,1] [7,6,1,2,3,4,5]=>[1,1,5] [7,6,1,2,3,5,4]=>[1,1,4,1] [7,6,1,2,4,3,5]=>[1,1,3,2] [7,6,1,2,4,5,3]=>[1,1,4,1] [7,6,1,2,5,3,4]=>[1,1,3,2] [7,6,1,2,5,4,3]=>[1,1,3,1,1] [7,6,1,3,2,4,5]=>[1,1,2,3] [7,6,1,3,2,5,4]=>[1,1,2,2,1] [7,6,1,3,4,2,5]=>[1,1,3,2] [7,6,1,3,4,5,2]=>[1,1,4,1] [7,6,1,3,5,2,4]=>[1,1,3,2] [7,6,1,3,5,4,2]=>[1,1,3,1,1] [7,6,1,4,2,3,5]=>[1,1,2,3] [7,6,1,4,2,5,3]=>[1,1,2,2,1] [7,6,1,4,3,2,5]=>[1,1,2,1,2] [7,6,1,4,3,5,2]=>[1,1,2,2,1] [7,6,1,4,5,2,3]=>[1,1,3,2] [7,6,1,4,5,3,2]=>[1,1,3,1,1] [7,6,1,5,2,3,4]=>[1,1,2,3] [7,6,1,5,2,4,3]=>[1,1,2,2,1] [7,6,1,5,3,2,4]=>[1,1,2,1,2] [7,6,1,5,3,4,2]=>[1,1,2,2,1] [7,6,1,5,4,2,3]=>[1,1,2,1,2] [7,6,1,5,4,3,2]=>[1,1,2,1,1,1] [7,6,2,1,3,4,5]=>[1,1,1,4] [7,6,2,1,3,5,4]=>[1,1,1,3,1] [7,6,2,1,4,3,5]=>[1,1,1,2,2] [7,6,2,1,4,5,3]=>[1,1,1,3,1] [7,6,2,1,5,3,4]=>[1,1,1,2,2] [7,6,2,1,5,4,3]=>[1,1,1,2,1,1] [7,6,2,3,1,4,5]=>[1,1,2,3] [7,6,2,3,1,5,4]=>[1,1,2,2,1] [7,6,2,3,4,1,5]=>[1,1,3,2] [7,6,2,3,4,5,1]=>[1,1,4,1] [7,6,2,3,5,1,4]=>[1,1,3,2] [7,6,2,3,5,4,1]=>[1,1,3,1,1] [7,6,2,4,1,3,5]=>[1,1,2,3] [7,6,2,4,1,5,3]=>[1,1,2,2,1] [7,6,2,4,3,1,5]=>[1,1,2,1,2] [7,6,2,4,3,5,1]=>[1,1,2,2,1] [7,6,2,4,5,1,3]=>[1,1,3,2] [7,6,2,4,5,3,1]=>[1,1,3,1,1] [7,6,2,5,1,3,4]=>[1,1,2,3] [7,6,2,5,1,4,3]=>[1,1,2,2,1] [7,6,2,5,3,1,4]=>[1,1,2,1,2] [7,6,2,5,3,4,1]=>[1,1,2,2,1] [7,6,2,5,4,1,3]=>[1,1,2,1,2] [7,6,2,5,4,3,1]=>[1,1,2,1,1,1] [7,6,3,1,2,4,5]=>[1,1,1,4] [7,6,3,1,2,5,4]=>[1,1,1,3,1] [7,6,3,1,4,2,5]=>[1,1,1,2,2] [7,6,3,1,4,5,2]=>[1,1,1,3,1] [7,6,3,1,5,2,4]=>[1,1,1,2,2] [7,6,3,1,5,4,2]=>[1,1,1,2,1,1] [7,6,3,2,1,4,5]=>[1,1,1,1,3] [7,6,3,2,1,5,4]=>[1,1,1,1,2,1] [7,6,3,2,4,1,5]=>[1,1,1,2,2] [7,6,3,2,4,5,1]=>[1,1,1,3,1] [7,6,3,2,5,1,4]=>[1,1,1,2,2] [7,6,3,2,5,4,1]=>[1,1,1,2,1,1] [7,6,3,4,1,2,5]=>[1,1,2,3] [7,6,3,4,1,5,2]=>[1,1,2,2,1] [7,6,3,4,2,1,5]=>[1,1,2,1,2] [7,6,3,4,2,5,1]=>[1,1,2,2,1] [7,6,3,4,5,1,2]=>[1,1,3,2] [7,6,3,4,5,2,1]=>[1,1,3,1,1] [7,6,3,5,1,2,4]=>[1,1,2,3] [7,6,3,5,1,4,2]=>[1,1,2,2,1] [7,6,3,5,2,1,4]=>[1,1,2,1,2] [7,6,3,5,2,4,1]=>[1,1,2,2,1] [7,6,3,5,4,1,2]=>[1,1,2,1,2] [7,6,3,5,4,2,1]=>[1,1,2,1,1,1] [7,6,4,1,2,3,5]=>[1,1,1,4] [7,6,4,1,2,5,3]=>[1,1,1,3,1] [7,6,4,1,3,2,5]=>[1,1,1,2,2] [7,6,4,1,3,5,2]=>[1,1,1,3,1] [7,6,4,1,5,2,3]=>[1,1,1,2,2] [7,6,4,1,5,3,2]=>[1,1,1,2,1,1] [7,6,4,2,1,3,5]=>[1,1,1,1,3] [7,6,4,2,1,5,3]=>[1,1,1,1,2,1] [7,6,4,2,3,1,5]=>[1,1,1,2,2] [7,6,4,2,3,5,1]=>[1,1,1,3,1] [7,6,4,2,5,1,3]=>[1,1,1,2,2] [7,6,4,2,5,3,1]=>[1,1,1,2,1,1] [7,6,4,3,1,2,5]=>[1,1,1,1,3] [7,6,4,3,1,5,2]=>[1,1,1,1,2,1] [7,6,4,3,2,1,5]=>[1,1,1,1,1,2] [7,6,4,3,2,5,1]=>[1,1,1,1,2,1] [7,6,4,3,5,1,2]=>[1,1,1,2,2] [7,6,4,3,5,2,1]=>[1,1,1,2,1,1] [7,6,4,5,1,2,3]=>[1,1,2,3] [7,6,4,5,1,3,2]=>[1,1,2,2,1] [7,6,4,5,2,1,3]=>[1,1,2,1,2] [7,6,4,5,2,3,1]=>[1,1,2,2,1] [7,6,4,5,3,1,2]=>[1,1,2,1,2] [7,6,4,5,3,2,1]=>[1,1,2,1,1,1] [7,6,5,1,2,3,4]=>[1,1,1,4] [7,6,5,1,2,4,3]=>[1,1,1,3,1] [7,6,5,1,3,2,4]=>[1,1,1,2,2] [7,6,5,1,3,4,2]=>[1,1,1,3,1] [7,6,5,1,4,2,3]=>[1,1,1,2,2] [7,6,5,1,4,3,2]=>[1,1,1,2,1,1] [7,6,5,2,1,3,4]=>[1,1,1,1,3] [7,6,5,2,1,4,3]=>[1,1,1,1,2,1] [7,6,5,2,3,1,4]=>[1,1,1,2,2] [7,6,5,2,3,4,1]=>[1,1,1,3,1] [7,6,5,2,4,1,3]=>[1,1,1,2,2] [7,6,5,2,4,3,1]=>[1,1,1,2,1,1] [7,6,5,3,1,2,4]=>[1,1,1,1,3] [7,6,5,3,1,4,2]=>[1,1,1,1,2,1] [7,6,5,3,2,1,4]=>[1,1,1,1,1,2] [7,6,5,3,2,4,1]=>[1,1,1,1,2,1] [7,6,5,3,4,1,2]=>[1,1,1,2,2] [7,6,5,3,4,2,1]=>[1,1,1,2,1,1] [7,6,5,4,1,2,3]=>[1,1,1,1,3] [7,6,5,4,1,3,2]=>[1,1,1,1,2,1] [7,6,5,4,2,1,3]=>[1,1,1,1,1,2] [7,6,5,4,2,3,1]=>[1,1,1,1,2,1] [7,6,5,4,3,1,2]=>[1,1,1,1,1,2] [7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1] [8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1] [7,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1] [7,6,8,5,4,3,2,1]=>[1,2,1,1,1,1,1] [6,7,8,5,4,3,2,1]=>[3,1,1,1,1,1] [7,8,5,6,4,3,2,1]=>[2,2,1,1,1,1] [7,6,5,8,4,3,2,1]=>[1,1,2,1,1,1,1] [6,7,5,8,4,3,2,1]=>[2,2,1,1,1,1] [7,5,6,8,4,3,2,1]=>[1,3,1,1,1,1] [5,6,7,8,4,3,2,1]=>[4,1,1,1,1] [8,7,5,6,3,4,2,1]=>[1,1,2,2,1,1] [8,5,6,7,3,4,2,1]=>[1,3,2,1,1] [5,6,7,8,3,4,2,1]=>[4,2,1,1] [6,7,8,3,4,5,2,1]=>[3,3,1,1] [8,6,7,5,4,2,3,1]=>[1,2,1,1,2,1] [7,6,4,5,8,2,3,1]=>[1,1,3,2,1] [8,6,5,7,3,2,4,1]=>[1,1,2,1,2,1] [8,5,6,7,2,3,4,1]=>[1,3,3,1] [7,8,3,2,4,5,6,1]=>[2,1,4,1] [5,4,6,3,7,2,8,1]=>[1,2,2,2,1] [2,3,4,5,6,7,8,1]=>[7,1] [7,8,6,5,4,3,1,2]=>[2,1,1,1,1,2] [8,7,4,5,6,3,1,2]=>[1,1,3,1,2] [7,8,5,6,3,4,1,2]=>[2,2,2,2] [5,6,7,8,3,4,1,2]=>[4,2,2] [7,8,3,4,5,6,1,2]=>[2,4,2] [8,5,4,3,6,7,1,2]=>[1,1,1,3,2] [8,4,3,5,6,7,1,2]=>[1,1,4,2] [8,3,4,5,6,7,1,2]=>[1,5,2] [6,3,4,5,7,8,1,2]=>[1,5,2] [4,3,5,6,7,8,1,2]=>[1,5,2] [3,4,5,6,7,8,1,2]=>[6,2] [8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,2] [7,6,8,5,4,2,1,3]=>[1,2,1,1,1,2] [6,7,8,5,4,1,2,3]=>[3,1,1,3] [8,7,4,5,6,1,2,3]=>[1,1,3,3] [7,6,5,8,3,2,1,4]=>[1,1,2,1,1,2] [7,5,6,8,2,3,1,4]=>[1,3,2,2] [6,7,5,8,3,1,2,4]=>[2,2,1,3] [7,8,6,5,2,1,3,4]=>[2,1,1,1,3] [6,5,7,8,2,1,3,4]=>[1,3,1,3] [7,8,6,5,1,2,3,4]=>[2,1,1,4] [8,7,5,6,1,2,3,4]=>[1,1,2,4] [7,8,5,6,1,2,3,4]=>[2,2,4] [5,6,7,8,1,2,3,4]=>[4,4] [8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,2] [8,7,6,4,2,1,3,5]=>[1,1,1,1,1,3] [6,7,8,1,2,3,4,5]=>[3,5] [7,8,5,4,2,1,3,6]=>[2,1,1,1,3] [7,8,5,4,1,2,3,6]=>[2,1,1,4] [7,8,4,5,1,2,3,6]=>[2,2,4] [8,7,5,1,2,3,4,6]=>[1,1,1,5] [8,7,4,1,2,3,5,6]=>[1,1,1,5] [8,7,1,2,3,4,5,6]=>[1,1,6] [7,8,1,2,3,4,5,6]=>[2,6] [8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,2] [8,6,5,4,3,1,2,7]=>[1,1,1,1,1,3] [8,5,6,3,4,1,2,7]=>[1,2,2,3] [8,6,5,4,2,1,3,7]=>[1,1,1,1,1,3] [8,6,4,3,2,1,5,7]=>[1,1,1,1,1,3] [8,6,4,2,1,3,5,7]=>[1,1,1,1,4] [8,6,1,2,3,4,5,7]=>[1,1,6] [8,4,1,2,3,5,6,7]=>[1,1,6] [8,3,1,2,4,5,6,7]=>[1,1,6] [8,1,2,3,4,5,6,7]=>[1,7] [7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,2] [7,5,6,3,4,2,1,8]=>[1,2,2,1,2] [6,7,5,4,2,3,1,8]=>[2,1,1,2,2] [6,5,7,3,2,4,1,8]=>[1,2,1,2,2] [5,6,7,2,3,4,1,8]=>[3,3,2] [2,3,4,5,6,7,1,8]=>[6,2] [3,4,5,6,7,1,2,8]=>[5,3] [7,1,2,3,4,5,6,8]=>[1,7] [2,3,4,5,6,1,7,8]=>[5,3] [6,1,2,3,4,5,7,8]=>[1,7] [2,3,4,5,1,6,7,8]=>[4,4] [2,3,4,1,5,6,7,8]=>[3,5] [2,3,1,4,5,6,7,8]=>[2,6] [2,1,3,4,5,6,7,8]=>[1,7] [1,2,3,4,5,6,7,8]=>[8] [6,8,7,5,4,3,2,1]=>[2,1,1,1,1,1,1] [5,8,7,6,4,3,2,1]=>[2,1,1,1,1,1,1] [5,7,8,6,4,3,2,1]=>[3,1,1,1,1,1] [6,5,8,7,4,3,2,1]=>[1,2,1,1,1,1,1] [3,5,8,7,6,4,2,1]=>[3,1,1,1,1,1] [3,5,6,7,8,4,2,1]=>[5,1,1,1] [4,3,8,7,6,5,2,1]=>[1,2,1,1,1,1,1] [6,5,4,3,8,7,2,1]=>[1,1,1,2,1,1,1] [4,3,6,5,8,7,2,1]=>[1,2,2,1,1,1] [2,6,8,7,5,4,3,1]=>[3,1,1,1,1,1] [2,3,5,6,8,7,4,1]=>[5,1,1,1] [3,4,2,5,7,8,6,1]=>[2,4,1,1] [4,3,6,5,7,2,8,1]=>[1,2,2,2,1] [3,2,6,5,7,4,8,1]=>[1,2,2,2,1] [4,3,5,2,7,6,8,1]=>[1,2,2,2,1] [3,2,5,4,7,6,8,1]=>[1,2,2,2,1] [1,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1] [1,7,8,6,5,4,3,2]=>[3,1,1,1,1,1] [1,3,5,7,8,6,4,2]=>[5,1,1,1] [1,4,3,8,7,6,5,2]=>[2,2,1,1,1,1] [1,6,5,4,3,8,7,2]=>[2,1,1,2,1,1] [1,4,3,6,5,8,7,2]=>[2,2,2,1,1] [1,3,4,5,6,7,8,2]=>[7,1] [2,1,8,7,6,5,4,3]=>[1,2,1,1,1,1,1] [2,1,7,8,6,5,4,3]=>[1,3,1,1,1,1] [2,1,6,8,7,5,4,3]=>[1,3,1,1,1,1] [2,1,7,6,8,5,4,3]=>[1,2,2,1,1,1] [2,1,6,7,8,5,4,3]=>[1,4,1,1,1] [2,1,5,8,7,6,4,3]=>[1,3,1,1,1,1] [2,1,6,5,8,7,4,3]=>[1,2,2,1,1,1] [2,1,7,6,5,8,4,3]=>[1,2,1,2,1,1] [2,1,6,5,7,4,8,3]=>[1,2,2,2,1] [2,1,5,4,7,6,8,3]=>[1,2,2,2,1] [2,1,4,5,6,7,8,3]=>[1,6,1] [1,2,6,7,8,5,4,3]=>[5,1,1,1] [3,2,1,8,7,6,5,4]=>[1,1,2,1,1,1,1] [3,2,1,6,5,8,7,4]=>[1,1,2,2,1,1] [1,3,2,5,6,7,8,4]=>[2,5,1] [2,1,3,5,6,7,8,4]=>[1,6,1] [1,2,3,5,6,7,8,4]=>[7,1] [4,3,2,1,8,7,6,5]=>[1,1,1,2,1,1,1] [3,4,2,1,7,8,6,5]=>[2,1,3,1,1] [2,4,3,1,6,8,7,5]=>[2,1,3,1,1] [2,4,3,1,7,6,8,5]=>[2,1,2,2,1] [3,2,4,1,6,8,7,5]=>[1,2,3,1,1] [3,2,4,1,7,6,8,5]=>[1,2,2,2,1] [2,3,4,1,6,7,8,5]=>[3,4,1] [2,1,4,3,8,7,6,5]=>[1,2,2,1,1,1] [2,1,4,3,6,8,7,5]=>[1,2,3,1,1] [2,1,4,3,7,6,8,5]=>[1,2,2,2,1] [2,1,4,3,6,7,8,5]=>[1,2,4,1] [1,3,2,4,6,7,8,5]=>[2,5,1] [1,2,3,4,6,7,8,5]=>[7,1] [5,4,3,2,1,8,7,6]=>[1,1,1,1,2,1,1] [3,2,5,4,1,8,7,6]=>[1,2,1,2,1,1] [2,3,4,5,1,8,7,6]=>[4,2,1,1] [2,3,4,5,1,7,8,6]=>[4,3,1] [3,2,1,4,5,8,7,6]=>[1,1,4,1,1] [2,3,1,4,5,7,8,6]=>[2,5,1] [1,2,3,4,5,7,8,6]=>[7,1] [6,5,4,3,2,1,8,7]=>[1,1,1,1,1,2,1] [4,6,5,3,2,1,8,7]=>[2,1,1,1,2,1] [5,4,6,3,2,1,8,7]=>[1,2,1,1,2,1] [4,3,6,5,2,1,8,7]=>[1,2,1,1,2,1] [4,3,5,2,6,1,8,7]=>[1,2,2,2,1] [3,2,5,4,6,1,8,7]=>[1,2,2,2,1] [2,3,4,5,6,1,8,7]=>[5,2,1] [2,1,6,5,4,3,8,7]=>[1,2,1,1,2,1] [2,1,4,6,5,3,8,7]=>[1,3,1,2,1] [2,1,5,4,6,3,8,7]=>[1,2,2,2,1] [2,1,4,5,6,3,8,7]=>[1,4,2,1] [4,3,2,1,6,5,8,7]=>[1,1,1,2,2,1] [2,4,3,1,6,5,8,7]=>[2,1,2,2,1] [3,2,4,1,6,5,8,7]=>[1,2,2,2,1] [2,3,4,1,6,5,8,7]=>[3,2,2,1] [2,1,4,3,6,5,8,7]=>[1,2,2,2,1] [2,1,3,4,5,6,8,7]=>[1,6,1] [1,2,3,4,5,6,8,7]=>[7,1] [3,2,7,6,5,4,1,8]=>[1,2,1,1,1,2] [5,4,3,2,7,6,1,8]=>[1,1,1,2,1,2] [3,2,5,4,7,6,1,8]=>[1,2,2,1,2] [2,3,4,1,7,6,5,8]=>[3,2,1,2] [2,3,4,1,6,7,5,8]=>[3,3,2] [1,4,3,2,7,6,5,8]=>[2,1,2,1,2] [1,3,4,2,6,7,5,8]=>[3,3,2] [2,3,4,5,1,7,6,8]=>[4,2,2] [1,3,2,5,4,7,6,8]=>[2,2,2,2] [1,3,2,4,5,7,6,8]=>[2,4,2] [1,2,3,4,5,7,6,8]=>[6,2] [2,3,1,6,5,4,7,8]=>[2,2,1,3] [2,3,1,5,6,4,7,8]=>[2,3,3] [2,3,4,1,6,5,7,8]=>[3,2,3] [1,2,4,3,6,5,7,8]=>[3,2,3] [2,1,5,4,3,6,7,8]=>[1,2,1,4] [2,1,4,5,3,6,7,8]=>[1,3,4] [2,3,1,5,4,6,7,8]=>[2,2,4] [1,4,3,2,5,6,7,8]=>[2,1,5] [1,3,4,2,5,6,7,8]=>[3,5] [2,1,4,3,5,6,7,8]=>[1,2,5] [1,3,2,4,5,6,7,8]=>[2,6] [1,8,5,4,7,6,3,2]=>[2,1,2,1,1,1] [2,1,4,5,8,6,7,3]=>[1,4,2,1] [2,1,8,5,4,7,6,3]=>[1,2,1,2,1,1] [2,3,4,8,5,6,7,1]=>[4,3,1] [2,3,6,4,5,1,8,7]=>[3,2,2,1] [4,2,3,1,8,6,7,5]=>[1,2,2,2,1] [6,3,2,5,4,1,8,7]=>[1,1,2,1,2,1] [8,3,2,5,4,7,6,1]=>[1,1,2,2,1,1] [8,3,2,7,6,5,4,1]=>[1,1,2,1,1,1,1] [7,4,3,6,5,2,1,8]=>[1,1,2,1,1,2] [8,5,4,3,2,7,6,1]=>[1,1,1,1,2,1,1] [8,7,4,3,6,5,2,1]=>[1,1,1,2,1,1,1] [2,4,6,8,1,3,5,7]=>[4,4] [2,4,6,1,7,3,8,5]=>[3,2,2,1] [2,1,4,3,7,5,8,6]=>[1,2,2,2,1] [2,4,1,3,7,5,8,6]=>[2,3,2,1] [2,1,4,3,7,8,5,6]=>[1,2,3,2] [2,1,4,3,8,5,6,7]=>[1,2,2,3] [2,4,1,8,3,5,6,7]=>[2,2,4] [2,4,1,5,8,3,6,7]=>[2,3,3] [2,4,1,5,6,8,3,7]=>[2,4,2] [2,4,1,5,6,7,8,3]=>[2,5,1] [2,4,5,6,7,1,8,3]=>[5,2,1] [2,1,5,3,6,4,8,7]=>[1,2,2,2,1] [2,1,5,6,3,4,8,7]=>[1,3,3,1] [2,5,1,3,6,7,8,4]=>[2,5,1] [2,1,5,3,7,4,8,6]=>[1,2,2,2,1] [2,5,1,7,3,4,8,6]=>[2,2,3,1] [2,1,5,7,3,8,4,6]=>[1,3,2,2] [2,1,5,8,3,4,6,7]=>[1,3,4] [2,1,5,3,4,6,7,8]=>[1,2,5] [2,3,5,1,6,7,8,4]=>[3,4,1] [2,3,5,6,1,7,8,4]=>[4,3,1] [2,1,6,3,7,4,8,5]=>[1,2,2,2,1] [2,6,7,1,3,4,8,5]=>[3,4,1] [2,1,6,7,8,3,4,5]=>[1,4,3] [2,1,6,3,4,7,8,5]=>[1,2,4,1] [2,1,6,8,3,4,5,7]=>[1,3,4] [2,1,6,3,4,5,8,7]=>[1,2,4,1] [2,3,1,6,4,5,7,8]=>[2,2,4] [2,1,7,3,8,4,5,6]=>[1,2,2,3] [2,1,7,8,3,4,5,6]=>[1,3,4] [2,1,7,3,4,8,5,6]=>[1,2,3,2] [2,3,7,8,1,4,5,6]=>[4,4] [2,3,4,1,7,5,6,8]=>[3,2,3] [2,1,8,3,4,5,6,7]=>[1,2,5] [2,8,1,3,4,5,6,7]=>[2,6] [2,3,4,5,1,8,6,7]=>[4,2,2] [2,3,4,5,6,8,1,7]=>[6,2] [3,1,4,2,6,5,8,7]=>[1,2,2,2,1] [3,4,1,2,6,5,8,7]=>[2,3,2,1] [3,1,4,2,6,8,5,7]=>[1,2,3,2] [3,1,4,6,2,8,5,7]=>[1,3,2,2] [3,1,4,6,8,2,5,7]=>[1,4,3] [3,1,4,2,6,7,8,5]=>[1,2,4,1] [3,1,4,6,2,7,8,5]=>[1,3,3,1] [3,4,6,1,7,8,2,5]=>[3,3,2] [3,1,4,2,7,5,8,6]=>[1,2,2,2,1] [3,1,4,7,2,5,8,6]=>[1,3,3,1] [3,4,1,2,7,8,5,6]=>[2,4,2] [3,4,7,1,8,2,5,6]=>[3,2,3] [3,1,4,2,7,5,6,8]=>[1,2,2,3] [3,1,4,2,5,7,8,6]=>[1,2,4,1] [3,4,1,5,2,7,8,6]=>[2,2,3,1] [3,1,4,5,7,2,8,6]=>[1,4,2,1] [3,4,1,5,7,2,8,6]=>[2,3,2,1] [3,1,4,2,8,5,6,7]=>[1,2,2,3] [3,1,4,8,2,5,6,7]=>[1,3,4] [3,1,4,5,8,2,6,7]=>[1,4,3] [3,4,1,5,2,6,8,7]=>[2,2,3,1] [3,4,5,1,6,2,8,7]=>[3,2,2,1] [3,1,4,5,6,8,2,7]=>[1,5,2] [3,4,5,1,6,8,2,7]=>[3,3,2] [3,4,5,6,8,1,2,7]=>[5,3] [3,4,5,1,6,2,7,8]=>[3,2,3] [3,4,5,6,1,7,2,8]=>[4,2,2] [3,1,4,5,6,7,8,2]=>[1,6,1] [3,4,1,5,6,7,8,2]=>[2,5,1] [3,4,5,1,6,7,8,2]=>[3,4,1] [3,4,5,6,1,7,8,2]=>[4,3,1] [3,4,5,6,7,1,8,2]=>[5,2,1] [3,1,5,2,6,4,8,7]=>[1,2,2,2,1] [3,5,1,6,2,4,8,7]=>[2,2,3,1] [3,1,5,2,6,8,4,7]=>[1,2,3,2] [3,1,5,6,2,8,4,7]=>[1,3,2,2] [3,1,5,2,6,4,7,8]=>[1,2,2,3] [3,1,5,2,6,7,4,8]=>[1,2,3,2] [3,1,5,2,6,7,8,4]=>[1,2,4,1] [3,1,5,2,7,4,8,6]=>[1,2,2,2,1] [3,1,5,2,7,8,4,6]=>[1,2,3,2] [3,1,5,7,2,8,4,6]=>[1,3,2,2] [3,5,1,7,2,8,4,6]=>[2,2,2,2] [3,1,5,7,8,2,4,6]=>[1,4,3] [3,1,5,2,7,4,6,8]=>[1,2,2,3] [3,1,5,7,2,4,6,8]=>[1,3,4] [3,5,1,7,2,4,6,8]=>[2,2,4] [3,5,7,1,2,4,6,8]=>[3,5] [3,1,5,2,4,7,6,8]=>[1,2,3,2] [3,5,1,2,4,7,6,8]=>[2,4,2] [3,1,2,5,4,7,6,8]=>[1,3,2,2] [3,1,5,2,8,4,6,7]=>[1,2,2,3] [1,3,5,6,2,7,4,8]=>[4,2,2] [1,3,5,2,6,7,8,4]=>[3,4,1] [3,1,6,2,7,4,8,5]=>[1,2,2,2,1] [3,6,1,7,2,8,4,5]=>[2,2,2,2] [3,6,7,1,2,8,4,5]=>[3,3,2] [3,6,1,7,8,2,4,5]=>[2,3,3] [3,1,6,2,4,7,8,5]=>[1,2,4,1] [3,1,2,6,7,4,8,5]=>[1,4,2,1] [3,1,6,2,4,8,5,7]=>[1,2,3,2] [1,3,6,2,4,5,7,8]=>[3,5] [3,1,7,8,2,4,5,6]=>[1,3,4] [1,3,7,8,2,4,5,6]=>[4,4] [3,1,7,2,4,5,8,6]=>[1,2,4,1] [1,3,7,2,4,5,6,8]=>[3,5] [3,1,8,2,4,5,6,7]=>[1,2,5] [1,3,2,8,4,5,6,7]=>[2,2,4] [1,3,8,2,4,5,6,7]=>[3,5] [1,3,2,4,8,5,6,7]=>[2,3,3] [3,1,2,4,5,8,6,7]=>[1,5,2] [4,1,5,2,6,3,8,7]=>[1,2,2,2,1] [4,5,6,1,2,3,8,7]=>[3,4,1] [4,1,5,2,6,8,3,7]=>[1,2,3,2] [4,1,5,6,8,2,3,7]=>[1,4,3] [4,1,5,2,7,3,8,6]=>[1,2,2,2,1] [4,1,5,2,7,8,3,6]=>[1,2,3,2] [4,5,7,1,2,8,3,6]=>[3,3,2] [4,5,1,7,8,2,3,6]=>[2,3,3] [4,1,2,5,7,3,8,6]=>[1,4,2,1] [4,1,2,5,8,3,6,7]=>[1,4,3] [4,1,2,5,6,8,3,7]=>[1,5,2] [1,4,5,6,7,2,3,8]=>[5,3] [4,1,2,5,6,7,8,3]=>[1,6,1] [4,1,6,2,7,3,8,5]=>[1,2,2,2,1] [4,6,7,1,8,2,3,5]=>[3,2,3] [4,1,2,6,3,7,8,5]=>[1,3,3,1] [1,4,2,6,7,8,3,5]=>[2,4,2] [4,1,2,6,3,8,5,7]=>[1,3,2,2] [4,1,2,3,6,5,8,7]=>[1,4,2,1] [4,1,2,7,3,5,8,6]=>[1,3,3,1] [1,4,2,3,7,5,6,8]=>[2,3,3] [4,1,2,8,3,5,6,7]=>[1,3,4] [4,1,2,3,8,5,6,7]=>[1,4,3] [1,4,2,3,5,6,7,8]=>[2,6] [5,1,6,2,7,3,8,4]=>[1,2,2,2,1] [5,6,1,2,3,7,8,4]=>[2,5,1] [5,1,2,3,6,8,4,7]=>[1,5,2] [1,2,5,6,3,4,7,8]=>[4,4] [5,1,2,3,6,7,8,4]=>[1,6,1] [5,7,1,2,3,4,8,6]=>[2,5,1] [5,1,2,3,7,4,8,6]=>[1,4,2,1] [1,5,2,7,3,4,6,8]=>[2,2,4] [5,8,1,2,3,4,6,7]=>[2,6] [5,1,2,8,3,4,6,7]=>[1,3,4] [5,1,2,3,8,4,6,7]=>[1,4,3] [6,1,7,2,3,4,8,5]=>[1,2,4,1] [1,6,7,2,3,4,5,8]=>[3,5] [6,1,2,3,4,7,8,5]=>[1,6,1] [6,1,8,2,3,4,5,7]=>[1,2,5] [6,8,1,2,3,4,5,7]=>[2,6] [6,1,2,3,4,8,5,7]=>[1,5,2] [6,1,2,3,4,5,8,7]=>[1,6,1] [7,1,8,2,3,4,5,6]=>[1,2,5] [7,1,2,8,3,4,5,6]=>[1,3,4] [7,1,2,3,4,5,8,6]=>[1,6,1] [1,8,2,3,4,5,6,7]=>[2,6] [1,2,8,3,4,5,6,7]=>[3,5] [1,2,3,4,8,5,6,7]=>[5,3] [1,2,3,4,5,8,6,7]=>[6,2] [5,3,2,6,1,4,8,7]=>[1,1,2,3,1] [7,3,2,5,4,8,1,6]=>[1,1,2,2,2] [8,4,5,2,3,7,6,1]=>[1,2,3,1,1] [7,4,5,2,3,8,1,6]=>[1,2,3,2] [6,4,5,2,3,1,8,7]=>[1,2,2,2,1] [5,4,6,2,1,3,8,7]=>[1,2,1,3,1] [3,6,1,5,4,2,8,7]=>[2,2,1,2,1] [4,6,5,1,3,2,8,7]=>[2,1,2,2,1] [5,6,4,3,1,2,8,7]=>[2,1,1,3,1] [7,5,4,3,2,8,1,6]=>[1,1,1,1,2,2] [8,6,4,3,7,2,5,1]=>[1,1,1,2,2,1] [7,6,4,3,8,2,1,5]=>[1,1,1,2,1,2] [6,7,4,3,8,1,2,5]=>[2,1,2,3] [5,7,4,3,1,8,2,6]=>[2,1,1,2,2] [4,7,5,1,3,8,2,6]=>[2,1,3,2] [3,7,1,5,4,8,2,6]=>[2,2,2,2] [2,1,7,5,4,8,3,6]=>[1,2,1,2,2] [3,8,1,5,4,7,6,2]=>[2,2,2,1,1] [4,8,5,1,3,7,6,2]=>[2,1,3,1,1] [5,8,4,3,1,7,6,2]=>[2,1,1,2,1,1] [6,8,4,3,7,1,5,2]=>[2,1,2,2,1] [7,8,4,3,6,5,1,2]=>[2,1,2,1,2] [6,8,5,7,3,1,4,2]=>[2,2,1,2,1] [5,8,6,7,1,3,4,2]=>[2,2,3,1] [4,8,6,1,7,3,5,2]=>[2,1,2,2,1] [3,8,1,6,7,4,5,2]=>[2,3,2,1] [2,1,8,6,7,4,5,3]=>[1,2,2,2,1] [2,1,7,6,8,4,3,5]=>[1,2,2,1,2] [3,7,1,6,8,4,2,5]=>[2,3,1,2] [4,7,6,1,8,3,2,5]=>[2,1,2,1,2] [5,7,6,8,1,3,2,4]=>[2,2,2,2] [5,4,7,2,1,8,3,6]=>[1,2,1,2,2] [6,4,7,2,8,1,3,5]=>[1,2,2,3] [7,4,6,2,8,3,1,5]=>[1,2,2,1,2] [8,4,6,2,7,3,5,1]=>[1,2,2,2,1] [8,3,2,6,7,4,5,1]=>[1,1,3,2,1] [7,3,2,6,8,4,1,5]=>[1,1,3,1,2] [6,3,2,7,8,1,4,5]=>[1,1,3,3] [5,3,2,7,1,8,4,6]=>[1,1,2,2,2] [4,3,2,1,7,8,5,6]=>[1,1,1,3,2] [3,4,1,2,8,7,6,5]=>[2,3,1,1,1] [5,3,2,8,1,7,6,4]=>[1,1,2,2,1,1] [6,3,2,8,7,1,5,4]=>[1,1,2,1,2,1] [7,3,2,8,6,5,1,4]=>[1,1,2,1,1,2] [8,4,7,2,6,5,3,1]=>[1,2,2,1,1,1] [7,4,8,2,6,5,1,3]=>[1,2,2,1,2] [6,4,8,2,7,1,5,3]=>[1,2,2,2,1] [5,4,8,2,1,7,6,3]=>[1,2,1,2,1,1] [4,5,8,1,2,7,6,3]=>[3,3,1,1] [3,5,1,8,2,7,6,4]=>[2,2,2,1,1] [2,1,5,8,3,7,6,4]=>[1,3,2,1,1] [2,1,6,8,7,3,5,4]=>[1,3,1,2,1] [3,6,1,8,7,2,5,4]=>[2,2,1,2,1] [4,6,8,1,7,2,5,3]=>[3,2,2,1] [5,6,8,7,1,2,4,3]=>[3,1,3,1] [6,5,8,7,2,1,4,3]=>[1,2,1,1,2,1] [7,5,8,6,2,4,1,3]=>[1,2,1,2,2] [8,5,7,6,2,4,3,1]=>[1,2,1,2,1,1] [5,7,8,6,1,4,2,3]=>[3,1,2,2] [4,7,8,1,6,5,2,3]=>[3,2,1,2] [3,7,1,8,6,5,2,4]=>[2,2,1,1,2] [2,1,7,8,6,5,3,4]=>[1,3,1,1,2] [3,8,1,7,6,5,4,2]=>[2,2,1,1,1,1] [4,8,7,1,6,5,3,2]=>[2,1,2,1,1,1] [5,8,7,6,1,4,3,2]=>[2,1,1,2,1,1] [6,8,7,5,4,1,3,2]=>[2,1,1,1,2,1] [8,3,7,1,2,4,5,6]=>[1,2,5] [3,2,7,8,1,4,5,6]=>[1,3,4] [7,3,4,8,1,2,5,6]=>[1,3,4] [7,8,2,4,1,3,5,6]=>[2,2,4] [7,8,3,5,1,2,4,6]=>[2,2,4] [7,8,4,6,1,2,3,5]=>[2,2,4] [7,4,3,8,1,2,5,6]=>[1,1,2,4] [5,7,2,4,8,1,3,6]=>[2,3,3] [4,7,3,6,8,1,2,5]=>[2,3,3] [4,3,2,6,8,1,5,7]=>[1,1,3,3] [6,5,2,4,8,1,3,7]=>[1,1,3,3] [5,4,2,7,8,1,3,6]=>[1,1,3,3] [8,7,2,4,6,1,3,5]=>[1,1,3,3] [5,4,3,2,8,1,6,7]=>[1,1,1,2,3] [4,8,3,7,2,6,1,5]=>[2,2,2,2] [8,5,4,7,2,6,1,3]=>[1,1,2,2,2] [8,5,4,7,3,6,1,2]=>[1,1,2,2,2] [6,5,4,3,2,8,1,7]=>[1,1,1,1,2,2] [8,7,5,4,2,6,1,3]=>[1,1,1,1,2,2] [8,7,6,5,2,4,1,3]=>[1,1,1,1,2,2] [8,1,2,3,4,7,5,6]=>[1,5,2] [8,1,2,3,6,4,5,7]=>[1,4,3] [8,1,2,3,7,4,5,6]=>[1,4,3] [7,1,2,3,6,4,8,5]=>[1,4,2,1] [5,1,2,3,8,7,4,6]=>[1,4,1,2] [8,1,2,3,6,7,4,5]=>[1,5,2] [4,1,2,8,3,7,5,6]=>[1,3,2,2] [8,1,2,5,3,4,6,7]=>[1,3,4] [7,1,2,5,3,4,8,6]=>[1,3,3,1] [8,1,2,6,3,4,5,7]=>[1,3,4] [7,1,2,6,3,4,8,5]=>[1,3,3,1] [6,1,2,5,3,8,4,7]=>[1,3,2,2] [8,1,2,5,3,7,4,6]=>[1,3,2,2] [8,1,2,6,3,7,4,5]=>[1,3,2,2] [6,1,2,5,3,7,8,4]=>[1,3,3,1] [4,1,2,8,6,3,5,7]=>[1,3,1,3] [4,1,2,8,7,3,5,6]=>[1,3,1,3] [4,1,2,7,6,3,8,5]=>[1,3,1,2,1] [8,1,2,5,6,3,4,7]=>[1,4,3] [8,1,2,5,7,3,4,6]=>[1,4,3] [8,1,2,7,6,3,4,5]=>[1,3,1,3] [7,1,2,5,6,3,8,4]=>[1,4,2,1] [4,1,2,5,8,7,3,6]=>[1,4,1,2] [4,1,2,8,6,7,3,5]=>[1,3,2,2] [8,1,2,5,6,7,3,4]=>[1,5,2] [3,1,8,2,4,7,5,6]=>[1,2,3,2] [3,1,8,2,6,4,5,7]=>[1,2,2,3] [3,1,8,2,7,4,5,6]=>[1,2,2,3] [3,1,7,2,6,4,8,5]=>[1,2,2,2,1] [3,1,5,2,8,7,4,6]=>[1,2,2,1,2] [3,1,8,2,6,7,4,5]=>[1,2,3,2] [8,1,4,2,3,5,6,7]=>[1,2,5] [7,1,4,2,3,5,8,6]=>[1,2,4,1] [6,1,4,2,3,8,5,7]=>[1,2,3,2] [8,1,4,2,3,7,5,6]=>[1,2,3,2] [6,1,4,2,3,7,8,5]=>[1,2,4,1] [8,1,5,2,3,4,6,7]=>[1,2,5] [7,1,5,2,3,4,8,6]=>[1,2,4,1] [8,1,7,2,3,4,5,6]=>[1,2,5] [6,1,5,2,3,8,4,7]=>[1,2,3,2] [8,1,5,2,3,7,4,6]=>[1,2,3,2] [6,1,8,2,3,7,4,5]=>[1,2,3,2] [6,1,5,2,3,7,8,4]=>[1,2,4,1] [5,1,4,2,8,3,6,7]=>[1,2,2,3] [5,1,4,2,7,3,8,6]=>[1,2,2,2,1] [8,1,4,2,6,3,5,7]=>[1,2,2,3] [8,1,4,2,7,3,5,6]=>[1,2,2,3] [7,1,4,2,6,3,8,5]=>[1,2,2,2,1] [8,1,5,2,6,3,4,7]=>[1,2,2,3] [8,1,5,2,7,3,4,6]=>[1,2,2,3] [7,1,8,2,6,3,4,5]=>[1,2,2,3] [7,1,5,2,6,3,8,4]=>[1,2,2,2,1] [5,1,4,2,6,8,3,7]=>[1,2,3,2] [5,1,4,2,8,7,3,6]=>[1,2,2,1,2] [8,1,4,2,6,7,3,5]=>[1,2,3,2] [8,1,5,2,6,7,3,4]=>[1,2,3,2] [5,1,4,2,6,7,8,3]=>[1,2,4,1] [3,1,4,8,2,7,5,6]=>[1,3,2,2] [3,1,8,5,2,4,6,7]=>[1,2,1,4] [3,1,7,5,2,4,8,6]=>[1,2,1,3,1] [3,1,8,6,2,4,5,7]=>[1,2,1,4] [3,1,7,6,2,4,8,5]=>[1,2,1,3,1] [3,1,6,5,2,8,4,7]=>[1,2,1,2,2] [3,1,8,5,2,7,4,6]=>[1,2,1,2,2] [3,1,8,6,2,7,4,5]=>[1,2,1,2,2] [3,1,6,5,2,7,8,4]=>[1,2,1,3,1] [8,1,4,5,2,3,6,7]=>[1,3,4] [7,1,4,5,2,3,8,6]=>[1,3,3,1] [8,1,4,6,2,3,5,7]=>[1,3,4] [7,1,4,8,2,3,5,6]=>[1,3,4] [7,1,4,6,2,3,8,5]=>[1,3,3,1] [8,1,6,5,2,3,4,7]=>[1,2,1,4] [7,1,8,5,2,3,4,6]=>[1,2,1,4] [7,1,8,6,2,3,4,5]=>[1,2,1,4] [7,1,6,5,2,3,8,4]=>[1,2,1,3,1] [6,1,4,5,2,8,3,7]=>[1,3,2,2] [8,1,4,5,2,7,3,6]=>[1,3,2,2] [8,1,4,6,2,7,3,5]=>[1,3,2,2] [8,1,6,5,2,7,3,4]=>[1,2,1,2,2] [6,1,4,5,2,7,8,3]=>[1,3,3,1] [3,1,4,8,6,2,5,7]=>[1,3,1,3] [3,1,4,8,7,2,5,6]=>[1,3,1,3] [3,1,4,7,6,2,8,5]=>[1,3,1,2,1] [3,1,8,5,6,2,4,7]=>[1,2,2,3] [3,1,8,5,7,2,4,6]=>[1,2,2,3] [3,1,8,7,6,2,4,5]=>[1,2,1,1,3] [3,1,7,5,6,2,8,4]=>[1,2,2,2,1] [8,1,4,5,6,2,3,7]=>[1,4,3] [8,1,4,5,7,2,3,6]=>[1,4,3] [8,1,4,7,6,2,3,5]=>[1,3,1,3] [8,1,7,5,6,2,3,4]=>[1,2,2,3] [7,1,4,5,6,2,8,3]=>[1,4,2,1] [3,1,4,5,8,7,2,6]=>[1,4,1,2] [3,1,4,8,6,7,2,5]=>[1,3,2,2] [3,1,8,5,6,7,2,4]=>[1,2,3,2] [8,1,4,5,6,7,2,3]=>[1,5,2] [2,8,1,5,3,4,6,7]=>[2,2,4] [2,8,1,6,3,4,5,7]=>[2,2,4] [2,6,1,5,3,8,4,7]=>[2,2,2,2] [2,8,1,6,3,7,4,5]=>[2,2,2,2] [2,6,1,5,3,7,8,4]=>[2,2,3,1] [2,4,1,7,6,3,8,5]=>[2,2,1,2,1] [2,8,1,5,6,3,4,7]=>[2,3,3] [2,8,1,5,7,3,4,6]=>[2,3,3] [2,8,1,7,6,3,4,5]=>[2,2,1,3] [2,7,1,5,6,3,8,4]=>[2,3,2,1] [2,4,1,5,8,7,3,6]=>[2,3,1,2] [2,4,1,8,6,7,3,5]=>[2,2,2,2] [2,8,1,5,6,7,3,4]=>[2,4,2] [8,3,1,2,4,7,5,6]=>[1,1,4,2] [5,3,1,2,8,4,6,7]=>[1,1,3,3] [8,3,1,2,6,4,5,7]=>[1,1,3,3] [8,3,1,2,7,4,5,6]=>[1,1,3,3] [7,3,1,2,6,4,8,5]=>[1,1,3,2,1] [5,3,1,2,6,8,4,7]=>[1,1,4,2] [8,3,1,2,6,7,4,5]=>[1,1,4,2] [6,4,1,2,3,8,5,7]=>[1,1,4,2] [8,4,1,2,3,7,5,6]=>[1,1,4,2] [6,4,1,2,3,7,8,5]=>[1,1,5,1] [7,6,1,2,3,4,8,5]=>[1,1,5,1] [5,8,1,2,3,7,4,6]=>[2,4,2] [8,6,1,2,3,7,4,5]=>[1,1,4,2] [8,4,1,2,7,3,5,6]=>[1,1,3,3] [7,4,1,2,6,3,8,5]=>[1,1,3,2,1] [5,8,1,2,7,3,4,6]=>[2,3,3] [8,7,1,2,6,3,4,5]=>[1,1,3,3] [5,7,1,2,6,3,8,4]=>[2,3,2,1] [5,4,1,2,8,7,3,6]=>[1,1,3,1,2] [8,4,1,2,6,7,3,5]=>[1,1,4,2] [5,8,1,2,6,7,3,4]=>[2,4,2] [5,4,1,2,6,7,8,3]=>[1,1,5,1] [7,3,1,8,2,4,5,6]=>[1,1,2,4] [7,3,1,6,2,4,8,5]=>[1,1,2,3,1] [8,3,1,5,2,7,4,6]=>[1,1,2,2,2] [8,3,1,6,2,7,4,5]=>[1,1,2,2,2] [6,3,1,5,2,7,8,4]=>[1,1,2,3,1] [7,4,1,8,2,3,5,6]=>[1,1,2,4] [7,4,1,6,2,3,8,5]=>[1,1,2,3,1] [8,7,1,5,2,3,4,6]=>[1,1,2,4] [8,7,1,6,2,3,4,5]=>[1,1,2,4] [6,7,1,5,2,3,8,4]=>[2,2,3,1] [8,4,1,5,2,7,3,6]=>[1,1,2,2,2] [8,4,1,6,2,7,3,5]=>[1,1,2,2,2] [6,8,1,5,2,7,3,4]=>[2,2,2,2] [6,4,1,5,2,7,8,3]=>[1,1,2,3,1] [4,3,1,8,7,2,5,6]=>[1,1,2,1,3] [4,3,1,7,6,2,8,5]=>[1,1,2,1,2,1] [8,3,1,5,6,2,4,7]=>[1,1,3,3] [8,3,1,5,7,2,4,6]=>[1,1,3,3] [8,3,1,7,6,2,4,5]=>[1,1,2,1,3] [7,3,1,5,6,2,8,4]=>[1,1,3,2,1] [8,4,1,5,7,2,3,6]=>[1,1,3,3] [8,4,1,7,6,2,3,5]=>[1,1,2,1,3] [7,8,1,5,6,2,3,4]=>[2,3,3] [7,4,1,5,6,2,8,3]=>[1,1,3,2,1] [4,3,1,5,8,7,2,6]=>[1,1,3,1,2] [4,3,1,8,6,7,2,5]=>[1,1,2,2,2] [8,3,1,5,6,7,2,4]=>[1,1,4,2] [8,4,1,5,6,7,2,3]=>[1,1,4,2] [4,3,1,5,6,7,8,2]=>[1,1,5,1] [2,8,7,1,3,4,5,6]=>[2,1,5] [2,8,5,1,3,7,4,6]=>[2,1,3,2] [2,6,8,1,3,7,4,5]=>[3,3,2] [2,6,5,1,3,7,8,4]=>[2,1,4,1] [2,8,4,1,7,3,5,6]=>[2,1,2,3] [2,7,4,1,6,3,8,5]=>[2,1,2,2,1] [2,8,5,1,7,3,4,6]=>[2,1,2,3] [2,7,8,1,6,3,4,5]=>[3,2,3] [2,7,5,1,6,3,8,4]=>[2,1,2,2,1] [2,5,4,1,8,7,3,6]=>[2,1,2,1,2] [2,8,4,1,6,7,3,5]=>[2,1,3,2] [2,8,5,1,6,7,3,4]=>[2,1,3,2] [2,5,4,1,6,7,8,3]=>[2,1,4,1] [6,3,7,1,2,4,8,5]=>[1,2,4,1] [8,3,5,1,2,7,4,6]=>[1,2,3,2] [6,3,8,1,2,7,4,5]=>[1,2,3,2] [6,3,5,1,2,7,8,4]=>[1,2,4,1] [6,7,4,1,2,3,8,5]=>[2,1,4,1] [6,7,5,1,2,3,8,4]=>[2,1,4,1] [8,5,4,1,2,7,3,6]=>[1,1,1,3,2] [6,8,4,1,2,7,3,5]=>[2,1,3,2] [6,8,5,1,2,7,3,4]=>[2,1,3,2] [6,5,4,1,2,7,8,3]=>[1,1,1,4,1] [8,3,4,1,7,2,5,6]=>[1,2,2,3] [7,3,4,1,6,2,8,5]=>[1,2,2,2,1] [8,3,5,1,7,2,4,6]=>[1,2,2,3] [7,3,8,1,6,2,4,5]=>[1,2,2,3] [7,3,5,1,6,2,8,4]=>[1,2,2,2,1] [8,5,4,1,7,2,3,6]=>[1,1,1,2,3] [7,8,4,1,6,2,3,5]=>[2,1,2,3] [7,8,5,1,6,2,3,4]=>[2,1,2,3] [7,5,4,1,6,2,8,3]=>[1,1,1,2,2,1] [5,3,4,1,8,7,2,6]=>[1,2,2,1,2] [8,3,4,1,6,7,2,5]=>[1,2,3,2] [8,3,5,1,6,7,2,4]=>[1,2,3,2] [8,5,4,1,6,7,2,3]=>[1,1,1,3,2] [5,3,4,1,6,7,8,2]=>[1,2,4,1] [2,3,7,6,1,4,8,5]=>[3,1,3,1] [2,3,8,5,1,7,4,6]=>[3,1,2,2] [2,3,8,6,1,7,4,5]=>[3,1,2,2] [2,3,6,5,1,7,8,4]=>[3,1,3,1] [2,7,4,8,1,3,5,6]=>[2,2,4] [2,7,4,6,1,3,8,5]=>[2,2,3,1] [2,7,8,5,1,3,4,6]=>[3,1,4] [2,7,8,6,1,3,4,5]=>[3,1,4] [2,7,6,5,1,3,8,4]=>[2,1,1,3,1] [2,8,4,5,1,7,3,6]=>[2,2,2,2] [2,8,4,6,1,7,3,5]=>[2,2,2,2] [2,8,6,5,1,7,3,4]=>[2,1,1,2,2] [2,6,4,5,1,7,8,3]=>[2,2,3,1] [7,3,4,6,1,2,8,5]=>[1,3,3,1] [7,3,8,5,1,2,4,6]=>[1,2,1,4] [7,3,8,6,1,2,4,5]=>[1,2,1,4] [7,3,6,5,1,2,8,4]=>[1,2,1,3,1] [7,6,4,5,1,2,8,3]=>[1,1,2,3,1] [8,3,4,5,1,7,2,6]=>[1,3,2,2] [8,3,4,6,1,7,2,5]=>[1,3,2,2] [8,3,6,5,1,7,2,4]=>[1,2,1,2,2] [8,6,4,5,1,7,2,3]=>[1,1,2,2,2] [6,3,4,5,1,7,8,2]=>[1,3,3,1] [2,3,4,8,7,1,5,6]=>[4,1,3] [2,3,4,7,6,1,8,5]=>[4,1,2,1] [2,3,8,5,7,1,4,6]=>[3,2,3] [2,3,8,7,6,1,4,5]=>[3,1,1,3] [2,3,7,5,6,1,8,4]=>[3,2,2,1] [2,8,4,5,7,1,3,6]=>[2,3,3] [2,8,4,7,6,1,3,5]=>[2,2,1,3] [2,8,7,5,6,1,3,4]=>[2,1,2,3] [2,7,4,5,6,1,8,3]=>[2,3,2,1] [8,3,4,5,7,1,2,6]=>[1,4,3] [8,3,4,7,6,1,2,5]=>[1,3,1,3] [8,3,7,5,6,1,2,4]=>[1,2,2,3] [7,3,4,5,6,1,8,2]=>[1,4,2,1] [2,3,4,5,8,7,1,6]=>[5,1,2] [2,3,4,8,6,7,1,5]=>[4,2,2] [2,3,8,5,6,7,1,4]=>[3,3,2] [2,8,4,5,6,7,1,3]=>[2,4,2] [6,5,8,7,3,4,1,2]=>[1,2,1,2,2] [4,6,7,3,8,5,1,2]=>[3,2,1,2] [3,6,7,4,5,8,1,2]=>[3,3,2] [2,6,7,4,5,1,8,3]=>[3,2,2,1] [1,6,7,4,5,2,3,8]=>[3,2,3] [1,5,4,7,6,2,3,8]=>[2,2,1,3] [2,5,4,7,6,1,8,3]=>[2,2,1,2,1] [3,5,4,7,6,8,1,2]=>[2,2,2,2] [4,5,3,7,8,6,1,2]=>[2,3,1,2] [5,4,3,8,7,6,1,2]=>[1,1,2,1,1,2] [6,4,8,3,7,5,1,2]=>[1,2,2,1,2] [6,3,8,4,5,7,1,2]=>[1,2,3,2] [5,3,4,8,6,7,1,2]=>[1,3,2,2] [4,3,5,6,8,7,1,2]=>[1,4,1,2] [3,2,5,6,1,8,7,4]=>[1,3,2,1,1] [4,2,5,6,8,1,7,3]=>[1,4,2,1] [5,2,4,8,6,1,7,3]=>[1,3,1,2,1] [6,2,8,4,5,1,7,3]=>[1,2,2,2,1] [7,8,2,4,5,1,6,3]=>[2,3,2,1] [7,8,1,4,5,2,3,6]=>[2,3,3] [6,1,8,4,5,2,3,7]=>[1,2,2,3] [5,1,4,8,6,2,3,7]=>[1,3,1,3] [4,1,3,2,8,6,5,7]=>[1,2,2,1,2] [5,1,3,8,2,6,4,7]=>[1,3,2,2] [6,1,8,3,2,5,4,7]=>[1,2,1,2,2] [7,8,1,3,2,5,4,6]=>[2,2,2,2] [7,8,2,3,1,5,6,4]=>[2,2,3,1] [6,2,8,3,1,5,7,4]=>[1,2,1,3,1] [5,2,3,8,1,6,7,4]=>[1,3,3,1] [6,3,8,2,1,7,5,4]=>[1,2,1,2,1,1] [7,8,3,2,1,6,5,4]=>[2,1,1,2,1,1] [7,8,4,2,6,1,5,3]=>[2,1,2,2,1] [5,4,2,8,7,1,6,3]=>[1,1,2,1,2,1] [4,5,2,7,8,1,6,3]=>[2,3,2,1] [3,5,2,7,1,8,6,4]=>[2,2,2,1,1] [2,5,3,7,1,6,8,4]=>[2,2,3,1] [1,5,3,7,2,6,4,8]=>[2,2,2,2] [1,6,7,3,2,5,4,8]=>[3,1,2,2] [2,6,7,3,1,5,8,4]=>[3,1,3,1] [3,6,7,2,1,8,5,4]=>[3,1,2,1,1] [4,6,7,2,8,1,5,3]=>[3,2,2,1] [5,6,7,8,2,1,4,3]=>[4,1,2,1] [7,8,5,6,2,1,4,3]=>[2,2,1,2,1] [6,5,8,7,1,2,3,4]=>[1,2,1,4] [5,4,1,8,7,2,3,6]=>[1,1,2,1,3] [6,4,8,1,7,2,3,5]=>[1,2,2,3] [7,8,3,1,2,6,4,5]=>[2,1,3,2] [5,3,1,8,2,7,4,6]=>[1,1,2,2,2] [4,3,1,2,8,7,5,6]=>[1,1,3,1,2] [4,2,1,3,8,5,7,6]=>[1,1,3,2,1] [5,2,1,8,3,4,7,6]=>[1,1,2,3,1] [6,2,8,1,3,4,7,5]=>[1,2,4,1] [7,8,2,1,3,4,6,5]=>[2,1,4,1] [4,5,2,3,7,6,1,8]=>[2,3,1,2] [6,4,3,7,2,5,1,8]=>[1,1,2,2,2] [8,4,3,6,5,1,2,7]=>[1,1,2,1,3] [1,5,6,3,4,8,7,2]=>[3,3,1,1] [4,6,2,7,3,5,1,8]=>[2,2,2,2] [3,2,6,7,4,5,1,8]=>[1,3,2,2] [4,7,2,6,5,3,1,8]=>[2,2,1,1,2] [5,7,6,2,4,3,1,8]=>[2,1,2,1,2] [1,7,5,4,8,3,6,2]=>[2,1,2,2,1] [8,7,5,4,1,3,2,6]=>[1,1,1,1,2,2] [6,8,5,4,2,1,3,7]=>[2,1,1,1,3] [5,8,6,2,4,1,3,7]=>[2,1,2,3] [4,8,2,6,5,1,3,7]=>[2,2,1,3] [3,2,8,6,5,1,4,7]=>[1,2,1,1,3] [4,1,2,6,5,8,7,3]=>[1,3,2,1,1] [5,1,6,2,4,8,7,3]=>[1,2,3,1,1] [6,1,5,4,2,8,7,3]=>[1,2,1,2,1,1] [7,1,5,4,8,2,6,3]=>[1,2,2,2,1] [8,1,5,4,7,6,2,3]=>[1,2,2,1,2] [1,8,6,7,4,5,3,2]=>[2,2,2,1,1] [8,1,6,7,4,5,2,3]=>[1,3,2,2] [7,1,6,8,4,2,5,3]=>[1,3,1,2,1] [6,1,7,8,2,4,5,3]=>[1,3,3,1] [5,1,7,2,8,4,6,3]=>[1,2,2,2,1] [4,1,2,7,8,5,6,3]=>[1,4,2,1] [3,2,1,7,8,5,6,4]=>[1,1,3,2,1] [3,2,8,7,1,5,4,6]=>[1,2,1,2,2] [4,8,2,7,1,5,3,6]=>[2,2,2,2] [5,8,7,2,1,4,3,6]=>[2,1,1,2,2] [6,8,7,1,2,4,3,5]=>[2,1,3,2] [7,8,6,1,4,2,3,5]=>[2,1,2,3] [8,7,6,1,4,3,2,5]=>[1,1,1,2,1,2] [1,7,6,8,4,3,5,2]=>[2,2,1,2,1] [1,6,7,8,3,4,5,2]=>[4,3,1] [8,6,7,1,3,4,2,5]=>[1,2,3,2] [7,6,8,1,3,2,4,5]=>[1,2,2,3] [5,7,8,2,1,3,4,6]=>[3,1,4] [4,7,2,8,1,3,5,6]=>[2,2,4] [3,2,6,8,4,1,5,7]=>[1,3,1,3] [4,6,2,8,3,1,5,7]=>[2,2,1,3] [5,6,8,2,3,1,4,7]=>[3,2,3] [6,5,8,3,2,1,4,7]=>[1,2,1,1,3] [7,5,8,3,1,2,4,6]=>[1,2,1,4] [8,5,7,3,1,4,2,6]=>[1,2,1,2,2] [1,5,7,3,8,4,6,2]=>[3,2,2,1] [1,4,3,7,8,5,6,2]=>[2,3,2,1] [8,4,3,7,1,5,2,6]=>[1,1,2,2,2] [6,4,3,8,2,1,5,7]=>[1,1,2,1,3] [4,5,2,3,8,1,6,7]=>[2,3,3] [3,2,5,4,8,1,6,7]=>[1,2,2,3] [4,5,2,3,1,8,7,6]=>[2,2,2,1,1] [6,4,3,1,2,8,7,5]=>[1,1,1,3,1,1] [7,4,3,1,8,2,6,5]=>[1,1,1,2,2,1] [8,4,3,1,7,6,2,5]=>[1,1,1,2,1,2] [1,5,8,3,7,6,4,2]=>[3,2,1,1,1] [8,5,1,3,7,6,2,4]=>[1,1,3,1,2] [7,5,1,3,8,2,6,4]=>[1,1,3,2,1] [6,5,1,3,2,8,7,4]=>[1,1,2,2,1,1] [5,6,1,2,3,8,7,4]=>[2,4,1,1] [4,6,2,1,3,8,7,5]=>[2,1,3,1,1] [3,2,6,1,4,8,7,5]=>[1,2,3,1,1] [3,2,7,1,8,4,6,5]=>[1,2,2,2,1] [4,7,2,1,8,3,6,5]=>[2,1,2,2,1] [5,7,1,2,8,3,6,4]=>[2,3,2,1] [6,7,1,8,2,3,5,4]=>[2,2,3,1] [7,6,1,8,3,2,5,4]=>[1,1,2,1,2,1] [8,6,1,7,3,5,2,4]=>[1,1,2,2,2] [1,6,8,7,3,5,4,2]=>[3,1,2,1,1] [1,7,8,6,5,3,4,2]=>[3,1,1,2,1] [8,7,1,6,5,3,2,4]=>[1,1,2,1,1,2] [7,8,1,6,5,2,3,4]=>[2,2,1,3] [6,8,1,7,2,5,3,4]=>[2,2,2,2] [5,8,1,2,7,6,3,4]=>[2,3,1,2] [4,8,2,1,7,6,3,5]=>[2,1,2,1,2] [3,2,8,1,7,6,4,5]=>[1,2,2,1,2] [4,1,2,8,7,6,5,3]=>[1,3,1,1,1,1] [5,1,8,2,7,6,4,3]=>[1,2,2,1,1,1] [6,1,8,7,2,5,4,3]=>[1,2,1,2,1,1] [7,1,8,6,5,2,4,3]=>[1,2,1,1,2,1] [8,1,7,6,5,4,2,3]=>[1,2,1,1,1,2] [3,2,5,1,6,4,8,7]=>[1,2,2,2,1] [3,2,5,4,7,1,8,6]=>[1,2,2,2,1] [4,2,5,3,7,6,8,1]=>[1,2,2,2,1] [4,2,5,3,7,1,8,6]=>[1,2,2,2,1] [4,2,5,3,6,1,8,7]=>[1,2,2,2,1] [4,2,5,1,6,3,8,7]=>[1,2,2,2,1] [3,1,5,4,6,2,8,7]=>[1,2,2,2,1] [4,1,5,3,6,2,8,7]=>[1,2,2,2,1] [4,3,5,1,6,2,8,7]=>[1,2,2,2,1] [4,3,5,2,7,1,8,6]=>[1,2,2,2,1] [4,3,6,2,7,5,8,1]=>[1,2,2,2,1] [4,3,6,2,7,1,8,5]=>[1,2,2,2,1] [4,3,6,1,7,2,8,5]=>[1,2,2,2,1] [4,3,5,1,7,2,8,6]=>[1,2,2,2,1] [4,1,5,3,7,2,8,6]=>[1,2,2,2,1] [3,1,5,4,7,2,8,6]=>[1,2,2,2,1] [2,1,5,4,7,3,8,6]=>[1,2,2,2,1] [3,1,5,4,7,6,8,2]=>[1,2,2,2,1] [4,1,5,3,7,6,8,2]=>[1,2,2,2,1] [4,3,5,1,7,6,8,2]=>[1,2,2,2,1] [4,3,6,1,7,5,8,2]=>[1,2,2,2,1] [4,3,6,5,7,1,8,2]=>[1,2,2,2,1] [5,3,6,4,7,2,8,1]=>[1,2,2,2,1] [5,3,6,4,7,1,8,2]=>[1,2,2,2,1] [5,3,6,1,7,4,8,2]=>[1,2,2,2,1] [5,1,6,3,7,4,8,2]=>[1,2,2,2,1] [4,1,6,3,7,5,8,2]=>[1,2,2,2,1] [3,1,6,4,7,5,8,2]=>[1,2,2,2,1] [2,1,6,4,7,5,8,3]=>[1,2,2,2,1] [2,1,6,4,7,3,8,5]=>[1,2,2,2,1] [3,1,6,4,7,2,8,5]=>[1,2,2,2,1] [4,1,6,3,7,2,8,5]=>[1,2,2,2,1] [5,1,6,3,7,2,8,4]=>[1,2,2,2,1] [5,3,6,1,7,2,8,4]=>[1,2,2,2,1] [5,3,6,2,7,1,8,4]=>[1,2,2,2,1] [5,3,6,2,7,4,8,1]=>[1,2,2,2,1] [5,2,6,3,7,4,8,1]=>[1,2,2,2,1] [5,2,6,3,7,1,8,4]=>[1,2,2,2,1] [5,2,6,1,7,3,8,4]=>[1,2,2,2,1] [4,2,5,1,7,3,8,6]=>[1,2,2,2,1] [4,2,6,1,7,3,8,5]=>[1,2,2,2,1] [4,2,6,3,7,1,8,5]=>[1,2,2,2,1] [4,2,6,3,7,5,8,1]=>[1,2,2,2,1] [3,2,6,4,7,5,8,1]=>[1,2,2,2,1] [3,2,6,4,7,1,8,5]=>[1,2,2,2,1] [3,2,6,1,7,4,8,5]=>[1,2,2,2,1] [3,2,5,1,7,4,8,6]=>[1,2,2,2,1] [3,2,4,1,7,5,8,6]=>[1,2,2,2,1] [3,1,4,2,7,6,8,5]=>[1,2,2,2,1] [3,2,5,1,7,6,8,4]=>[1,2,2,2,1] [3,2,6,1,7,5,8,4]=>[1,2,2,2,1] [3,2,6,5,7,1,8,4]=>[1,2,2,2,1] [4,2,6,5,7,3,8,1]=>[1,2,2,2,1] [4,2,6,5,7,1,8,3]=>[1,2,2,2,1] [4,2,6,1,7,5,8,3]=>[1,2,2,2,1] [4,2,5,1,7,6,8,3]=>[1,2,2,2,1] [4,1,5,2,7,6,8,3]=>[1,2,2,2,1] [3,1,5,2,7,6,8,4]=>[1,2,2,2,1] [2,1,5,3,7,6,8,4]=>[1,2,2,2,1] [2,1,6,3,7,5,8,4]=>[1,2,2,2,1] [3,1,6,2,7,5,8,4]=>[1,2,2,2,1] [4,1,6,2,7,5,8,3]=>[1,2,2,2,1] [5,1,6,2,7,4,8,3]=>[1,2,2,2,1] [5,2,6,1,7,4,8,3]=>[1,2,2,2,1] [5,2,6,4,7,1,8,3]=>[1,2,2,2,1] [5,2,6,4,7,3,8,1]=>[1,2,2,2,1] [5,4,6,2,7,3,8,1]=>[1,2,2,2,1] [5,4,6,2,7,1,8,3]=>[1,2,2,2,1] [5,4,6,1,7,2,8,3]=>[1,2,2,2,1] [5,1,6,4,7,2,8,3]=>[1,2,2,2,1] [4,1,6,5,7,2,8,3]=>[1,2,2,2,1] [3,1,6,5,7,2,8,4]=>[1,2,2,2,1] [2,1,6,5,7,3,8,4]=>[1,2,2,2,1] [3,1,6,5,7,4,8,2]=>[1,2,2,2,1] [4,1,6,5,7,3,8,2]=>[1,2,2,2,1] [5,1,6,4,7,3,8,2]=>[1,2,2,2,1] [5,4,6,1,7,3,8,2]=>[1,2,2,2,1] [5,4,6,3,7,1,8,2]=>[1,2,2,2,1] [8,6,1,3,4,2,5,7]=>[1,1,3,3] [8,3,5,2,1,6,4,7]=>[1,2,1,2,2] [8,6,3,5,2,4,1,7]=>[1,1,2,2,2] [3,7,5,2,4,1,8,6]=>[2,1,2,2,1] [8,3,7,5,2,4,6,1]=>[1,2,1,3,1] [8,2,4,5,7,3,6,1]=>[1,4,2,1] [2,4,5,7,3,1,8,6]=>[4,1,2,1] [8,2,4,6,5,3,1,7]=>[1,3,1,1,2] [8,2,5,4,6,1,3,7]=>[1,2,2,3] [8,1,2,4,5,6,3,7]=>[1,5,2] [8,2,5,1,3,6,4,7]=>[1,2,3,2] [8,6,3,5,1,4,2,7]=>[1,1,2,2,2] [8,6,1,4,5,3,2,7]=>[1,1,3,1,2] [8,1,5,6,4,3,2,7]=>[1,3,1,1,2] [5,7,4,3,2,1,8,6]=>[2,1,1,1,2,1] [8,5,7,4,3,2,6,1]=>[1,2,1,1,2,1] [4,6,8,3,2,7,5,1]=>[3,1,2,1,1] [4,7,6,3,2,8,1,5]=>[2,1,1,2,2] [1,4,6,7,3,2,8,5]=>[4,1,2,1] [5,4,7,3,1,8,2,6]=>[1,2,1,2,2] [1,7,4,5,3,2,8,6]=>[2,2,1,2,1] [3,7,5,1,4,2,8,6]=>[2,1,2,2,1] [5,7,4,2,1,3,8,6]=>[2,1,1,3,1] [8,5,7,4,2,1,6,3]=>[1,2,1,1,2,1] [8,3,7,5,1,4,6,2]=>[1,2,1,3,1] [8,4,1,7,5,3,6,2]=>[1,1,2,1,2,1] [4,6,3,8,7,1,5,2]=>[2,2,1,2,1] [1,7,4,8,6,3,5,2]=>[2,2,1,2,1] [8,4,7,6,3,5,2,1]=>[1,2,1,2,1,1] [3,6,5,8,7,4,1,2]=>[2,2,1,1,2] [3,1,5,8,6,7,4,2]=>[1,3,2,1,1] [4,8,1,6,7,3,5,2]=>[2,3,2,1] [3,6,4,1,8,7,5,2]=>[2,1,2,1,1,1] [8,2,6,1,4,7,5,3]=>[1,2,3,1,1] [2,7,6,8,1,4,3,5]=>[2,2,2,2] [3,7,1,6,4,8,2,5]=>[2,2,2,2] [1,7,3,5,6,8,2,4]=>[2,4,2] [1,3,6,7,5,8,2,4]=>[4,2,2] [3,7,6,5,8,2,1,4]=>[2,1,2,1,2] [3,6,8,5,7,2,4,1]=>[3,2,2,1] [2,3,5,7,6,8,1,4]=>[4,2,2] [2,1,6,5,7,8,3,4]=>[1,2,3,2] [5,2,7,1,3,8,4,6]=>[1,2,3,2] [5,3,1,7,8,2,4,6]=>[1,1,3,3] [4,2,7,6,8,3,1,5]=>[1,2,2,1,2] [4,2,6,8,7,3,5,1]=>[1,3,1,2,1] [3,8,2,4,6,7,5,1]=>[2,4,1,1] [3,7,2,6,4,8,1,5]=>[2,2,2,2] [3,2,6,1,4,7,8,5]=>[1,2,4,1] [5,3,7,2,1,8,4,6]=>[1,2,1,2,2] [4,7,3,2,1,5,8,6]=>[2,1,1,3,1] [1,7,3,4,2,5,8,6]=>[2,2,3,1] [4,7,2,1,3,5,8,6]=>[2,1,4,1] [8,7,6,1,3,4,2,5]=>[1,1,1,3,2] [8,5,7,3,2,1,6,4]=>[1,2,1,1,2,1] [8,3,6,7,2,1,5,4]=>[1,3,1,2,1] [3,7,8,6,2,1,5,4]=>[3,1,1,2,1] [8,7,6,3,5,2,4,1]=>[1,1,1,2,2,1] [2,7,4,8,1,6,5,3]=>[2,2,2,1,1] [4,6,8,2,1,7,5,3]=>[3,1,2,1,1] [8,4,1,5,7,2,6,3]=>[1,1,3,2,1] [8,5,3,7,1,6,2,4]=>[1,1,2,2,2] [8,5,7,2,1,3,6,4]=>[1,2,1,3,1] [8,2,6,7,1,3,5,4]=>[1,3,3,1] [8,3,6,1,7,5,2,4]=>[1,2,2,1,2] [4,6,1,8,7,2,5,3]=>[2,2,1,2,1] [8,1,2,5,6,7,4,3]=>[1,5,1,1] [8,2,6,5,7,4,1,3]=>[1,2,2,1,2] [2,1,7,8,5,6,4,3]=>[1,3,2,1,1] [8,2,5,7,6,4,3,1]=>[1,3,1,1,1,1] [2,7,6,8,5,4,1,3]=>[2,2,1,1,2] [1,7,2,5,8,6,4,3]=>[2,3,1,1,1] [1,7,4,8,2,6,5,3]=>[2,2,2,1,1] [3,7,8,1,6,5,2,4]=>[3,2,1,2] [2,7,8,6,1,3,5,4]=>[3,1,3,1] [8,7,6,3,5,1,4,2]=>[1,1,1,2,2,1] [8,4,7,6,5,1,3,2]=>[1,2,1,1,2,1] [8,7,1,5,6,4,3,2]=>[1,1,3,1,1,1] [8,1,6,7,5,4,3,2]=>[1,3,1,1,1,1] [3,2,5,1,6,8,4,7]=>[1,2,3,2] [3,6,2,5,4,8,1,7]=>[2,2,2,2] [3,5,2,4,7,1,8,6]=>[2,3,2,1] [3,5,8,2,4,7,6,1]=>[3,3,1,1] [4,2,5,8,3,7,6,1]=>[1,3,2,1,1] [4,2,6,5,3,8,1,7]=>[1,2,1,2,2] [5,4,2,1,6,8,3,7]=>[1,1,1,3,2] [5,3,1,6,8,2,4,7]=>[1,1,3,3] [5,6,2,8,1,3,4,7]=>[2,2,4] [6,3,5,1,4,8,2,7]=>[1,2,3,2] [4,6,1,5,3,8,2,7]=>[2,2,2,2] [5,1,6,4,3,8,2,7]=>[1,2,1,2,2] [5,4,3,2,7,1,8,6]=>[1,1,1,2,2,1] [5,4,3,8,2,7,6,1]=>[1,1,2,2,1,1] [4,3,6,2,8,7,5,1]=>[1,2,2,1,1,1] [4,3,7,6,2,1,8,5]=>[1,2,1,1,2,1] [6,4,3,1,7,2,8,5]=>[1,1,1,2,2,1] [7,5,4,3,1,8,2,6]=>[1,1,1,1,2,2] [1,4,7,5,8,3,2,6]=>[3,2,1,2] [7,1,3,5,8,4,2,6]=>[1,4,1,2] [7,2,5,8,4,1,3,6]=>[1,3,1,3] [2,8,5,7,4,6,1,3]=>[2,2,2,2] [3,5,8,7,1,4,6,2]=>[3,1,3,1] [1,4,5,8,7,3,6,2]=>[4,1,2,1] [1,5,4,8,7,3,6,2]=>[2,2,1,2,1] [6,4,3,8,1,7,5,2]=>[1,1,2,2,1,1] [4,3,7,1,8,6,5,2]=>[1,2,2,1,1,1] [4,8,3,7,6,5,2,1]=>[2,2,1,1,1,1] [5,3,8,7,6,4,2,1]=>[1,2,1,1,1,1,1] [7,5,3,1,8,6,4,2]=>[1,1,1,2,1,1,1] [1,8,6,5,3,7,4,2]=>[2,1,1,2,1,1] [1,5,8,6,3,7,4,2]=>[3,1,2,1,1] [4,6,1,8,7,3,5,2]=>[2,2,1,2,1] [6,8,7,3,1,4,5,2]=>[2,1,1,3,1] [6,2,8,7,4,5,1,3]=>[1,2,1,2,2] [7,6,2,8,4,1,3,5]=>[1,1,2,1,3] [7,3,1,6,8,4,2,5]=>[1,1,3,1,2] [1,7,6,4,8,3,2,5]=>[2,1,2,1,2] [5,7,1,6,3,2,8,4]=>[2,2,1,2,1] [6,1,7,5,3,2,8,4]=>[1,2,1,1,2,1] [7,6,5,3,2,1,8,4]=>[1,1,1,1,1,2,1] [6,5,3,2,8,7,4,1]=>[1,1,1,2,1,1,1] [5,2,6,3,8,7,4,1]=>[1,2,2,1,1,1] [5,2,7,6,3,1,8,4]=>[1,2,1,1,2,1] [6,5,2,1,7,3,8,4]=>[1,1,1,2,2,1] [6,1,7,4,2,8,3,5]=>[1,2,1,2,2] [6,7,2,1,8,3,4,5]=>[2,1,2,3] [7,5,8,2,1,3,4,6]=>[1,2,1,4] [5,7,3,1,8,2,4,6]=>[2,1,2,3] [4,7,1,5,2,8,3,6]=>[2,2,2,2] [5,2,7,4,1,8,3,6]=>[1,2,1,2,2] [4,7,2,6,3,1,8,5]=>[2,2,1,2,1] [2,4,8,6,3,7,5,1]=>[3,1,2,1,1] [3,8,6,2,4,7,5,1]=>[2,1,3,1,1] [7,3,6,2,4,1,8,5]=>[1,2,2,2,1] [3,6,7,2,1,4,8,5]=>[3,1,3,1] [3,5,2,7,1,8,4,6]=>[2,2,2,2] [4,3,7,8,2,1,5,6]=>[1,3,1,3] [8,3,7,1,4,6,2,5]=>[1,2,3,2] [3,8,2,5,7,1,6,4]=>[2,3,2,1] [8,3,6,2,7,1,5,4]=>[1,2,2,2,1] [7,8,3,6,2,1,5,4]=>[2,2,1,2,1] [8,7,3,6,2,5,4,1]=>[1,1,2,2,1,1] [4,7,8,2,1,6,5,3]=>[3,1,2,1,1] [4,2,6,8,1,7,5,3]=>[1,3,2,1,1] [5,4,8,2,7,1,6,3]=>[1,2,2,2,1] [4,8,1,5,7,2,6,3]=>[2,3,2,1] [5,8,3,7,1,6,2,4]=>[2,2,2,2] [5,8,7,2,6,1,3,4]=>[2,1,2,3] [8,6,2,7,5,1,3,4]=>[1,1,2,1,3] [3,6,8,1,7,5,2,4]=>[3,2,1,2] [6,4,8,1,7,2,5,3]=>[1,2,2,2,1] [5,1,6,8,2,7,4,3]=>[1,3,2,1,1] [6,5,2,8,1,7,4,3]=>[1,1,2,2,1,1] [5,2,7,1,8,6,4,3]=>[1,2,2,1,1,1] [5,8,2,7,6,4,3,1]=>[2,2,1,1,1,1] [6,2,8,7,5,4,3,1]=>[1,2,1,1,1,1,1] [7,6,2,1,8,5,4,3]=>[1,1,1,2,1,1,1] [6,1,7,2,8,5,4,3]=>[1,2,2,1,1,1] [7,5,1,8,2,6,4,3]=>[1,1,2,2,1,1] [4,7,1,8,6,2,5,3]=>[2,2,1,2,1] [7,8,3,1,6,5,2,4]=>[2,1,2,1,2] [8,7,4,6,1,5,3,2]=>[1,1,2,2,1,1] [8,5,7,1,6,4,3,2]=>[1,2,2,1,1,1] [6,8,1,7,5,4,3,2]=>[2,2,1,1,1,1] [7,1,8,6,5,4,3,2]=>[1,2,1,1,1,1,1] [4,1,3,2,6,5,8,7]=>[1,2,2,2,1] [6,3,5,1,2,4,8,7]=>[1,2,4,1] [4,3,5,6,1,2,8,7]=>[1,3,3,1] [8,3,7,5,2,1,4,6]=>[1,2,1,1,3] [6,3,7,5,1,8,4,2]=>[1,2,1,2,1,1] [6,5,2,7,1,8,3,4]=>[1,1,2,2,2] [8,5,2,7,4,1,3,6]=>[1,1,2,1,3] [3,5,2,6,4,1,8,7]=>[2,2,1,2,1] [2,6,1,5,4,3,8,7]=>[2,2,1,2,1] [6,1,2,4,5,3,8,7]=>[1,4,2,1] [5,6,3,2,1,4,8,7]=>[2,1,1,3,1] [2,1,6,3,5,4,8,7]=>[1,2,2,2,1] [6,4,3,5,1,2,8,7]=>[1,1,2,3,1] [5,3,1,4,6,2,8,7]=>[1,1,3,2,1] [3,1,4,6,5,2,8,7]=>[1,3,1,2,1] [5,7,4,6,2,8,3,1]=>[2,2,2,1,1] [8,1,4,7,2,6,3,5]=>[1,3,2,2] [3,4,7,8,5,2,1,6]=>[4,1,1,2] [2,1,8,5,7,3,4,6]=>[1,2,2,3] [8,6,3,5,1,7,4,2]=>[1,1,2,2,1,1] [5,8,2,4,6,7,3,1]=>[2,4,1,1] [3,4,8,6,5,7,1,2]=>[3,1,2,2] [7,5,4,8,1,6,3,2]=>[1,1,2,2,1,1] [5,1,4,6,8,2,7,3]=>[1,4,2,1] [2,5,4,6,7,1,8,3]=>[2,3,2,1] [2,4,6,3,7,5,8,1]=>[3,2,2,1] [4,1,6,3,8,5,7,2]=>[1,2,2,2,1] [3,7,4,2,8,6,5,1]=>[2,1,2,1,1,1] [7,4,1,3,5,8,6,2]=>[1,1,4,1,1] [6,5,8,4,1,7,3,2]=>[1,2,1,2,1,1] [8,5,3,7,4,1,6,2]=>[1,1,2,1,2,1] [2,1,5,7,4,8,6,3]=>[1,3,2,1,1] [2,1,4,8,3,7,6,5]=>[1,3,2,1,1] [7,4,3,8,2,1,6,5]=>[1,1,2,1,2,1] [6,3,7,4,1,8,2,5]=>[1,2,1,2,2] [8,3,1,2,5,7,6,4]=>[1,1,4,1,1] [3,1,8,2,7,6,5,4]=>[1,2,2,1,1,1] [2,3,8,1,6,7,5,4]=>[3,3,1,1] [4,3,7,2,6,8,5,1]=>[1,2,3,1,1] [4,7,2,3,8,5,6,1]=>[2,3,2,1] [3,8,2,1,7,5,6,4]=>[2,1,2,2,1] [2,8,1,3,6,5,7,4]=>[2,3,2,1] [8,1,2,3,5,6,7,4]=>[1,6,1] [7,8,2,4,3,6,1,5]=>[2,2,2,2] [6,8,3,2,4,1,7,5]=>[2,1,2,2,1] [2,1,8,3,4,6,7,5]=>[1,2,4,1] [2,1,7,8,5,4,3,6]=>[1,3,1,1,2] [5,7,3,8,1,4,2,6]=>[2,2,2,2] [7,1,8,4,5,3,2,6]=>[1,2,2,1,2] [2,7,8,5,4,3,1,6]=>[3,1,1,1,2] [8,7,1,6,3,4,2,5]=>[1,1,2,2,2] [3,8,6,7,2,4,1,5]=>[2,2,2,2] [5,3,8,7,4,2,6,1]=>[1,2,1,1,2,1] [4,3,8,7,2,1,6,5]=>[1,2,1,1,2,1] [8,3,6,1,4,2,7,5]=>[1,2,2,2,1] [7,3,5,8,2,4,1,6]=>[1,3,2,2] [2,3,4,1,8,5,7,6]=>[3,2,2,1] [4,1,3,2,8,5,7,6]=>[1,2,2,2,1] [2,1,4,3,8,5,7,6]=>[1,2,2,2,1] [4,1,3,2,6,7,8,5]=>[1,2,4,1] [8,3,5,6,2,7,1,4]=>[1,3,2,2] [5,3,6,1,8,7,2,4]=>[1,2,2,1,2] [5,6,2,8,7,4,1,3]=>[2,2,1,1,2] [7,8,5,6,1,4,2,3]=>[2,2,2,2] [2,8,6,5,4,7,1,3]=>[2,1,1,2,2] [8,1,6,4,5,7,2,3]=>[1,2,3,2] [5,8,3,6,1,7,2,4]=>[2,2,2,2] [2,1,8,6,5,7,3,4]=>[1,2,1,2,2] [2,1,7,5,3,6,8,4]=>[1,2,1,3,1] [6,7,3,5,2,1,8,4]=>[2,2,1,2,1] [7,1,4,2,5,6,8,3]=>[1,2,4,1] [2,7,4,1,6,5,8,3]=>[2,1,2,2,1] [4,6,1,2,8,7,3,5]=>[2,3,1,2] [2,4,1,5,8,7,6,3]=>[2,3,1,1,1] [4,1,2,5,8,6,7,3]=>[1,4,2,1] [6,4,2,1,5,8,7,3]=>[1,1,1,3,1,1] [8,5,2,4,6,1,7,3]=>[1,1,3,2,1] [7,5,3,2,6,8,1,4]=>[1,1,1,3,2] [2,1,5,3,6,8,7,4]=>[1,2,3,1,1] [7,3,5,4,6,1,8,2]=>[1,2,2,2,1] [6,3,4,1,5,7,8,2]=>[1,2,4,1] [4,3,1,5,7,6,8,2]=>[1,1,3,2,1] [3,1,4,5,6,8,7,2]=>[1,5,1,1] [4,5,2,6,3,1,8,7]=>[2,2,1,2,1] [6,5,2,1,4,3,8,7]=>[1,1,1,2,2,1] [6,5,2,7,4,8,3,1]=>[1,1,2,2,1,1] [8,5,2,7,4,1,6,3]=>[1,1,2,1,2,1] [8,3,7,5,2,1,6,4]=>[1,2,1,1,2,1] [6,3,7,5,2,8,4,1]=>[1,2,1,2,1,1] [6,3,1,5,2,4,8,7]=>[1,1,2,3,1] [3,1,6,5,4,2,8,7]=>[1,2,1,1,2,1] [5,4,3,6,1,2,8,7]=>[1,1,2,3,1] [5,6,3,2,4,1,8,7]=>[2,1,2,2,1] [3,6,2,4,1,5,8,7]=>[2,2,3,1] [2,6,1,3,5,4,8,7]=>[2,3,2,1] [6,7,2,3,4,8,5,1]=>[2,4,1,1] [8,7,2,3,4,1,6,5]=>[1,1,3,2,1] [5,1,7,3,8,4,6,2]=>[1,2,2,2,1] [2,5,7,3,8,6,4,1]=>[3,2,1,1,1] [7,6,1,3,5,8,4,2]=>[1,1,4,1,1] [3,6,7,4,1,8,5,2]=>[3,1,2,1,1] [5,6,3,7,4,8,1,2]=>[2,2,2,2] [2,1,6,7,4,8,5,3]=>[1,3,2,1,1] [2,1,8,7,4,3,6,5]=>[1,2,1,1,2,1] [5,8,3,7,4,2,6,1]=>[2,2,1,2,1] [3,8,7,4,1,2,6,5]=>[2,1,1,3,1] [7,8,1,3,5,2,6,4]=>[2,3,2,1] [5,8,7,3,2,6,1,4]=>[2,1,1,2,2] [2,8,6,3,1,5,7,4]=>[2,1,1,3,1] [8,1,6,3,2,5,4,7]=>[1,2,1,2,2] [2,8,4,1,6,3,7,5]=>[2,1,2,2,1] [4,8,1,2,7,6,3,5]=>[2,3,1,2] [3,8,4,2,5,7,1,6]=>[2,1,3,2] [6,8,3,5,2,7,4,1]=>[2,2,2,1,1] [2,1,8,5,3,7,4,6]=>[1,2,1,2,2] [2,1,5,3,8,7,6,4]=>[1,2,2,1,1,1] [6,5,3,2,8,7,1,4]=>[1,1,1,2,1,2] [7,5,2,4,8,1,6,3]=>[1,1,3,2,1] [3,4,2,8,5,7,6,1]=>[2,2,2,1,1] [2,4,1,8,7,6,5,3]=>[2,2,1,1,1,1] [4,1,2,8,7,5,6,3]=>[1,3,1,2,1] [8,4,2,1,7,5,3,6]=>[1,1,1,2,1,2] [4,3,1,8,6,7,5,2]=>[1,1,2,2,1,1] [3,1,4,8,6,5,7,2]=>[1,3,1,2,1] [7,3,5,4,8,6,1,2]=>[1,2,2,1,2] [6,4,3,5,8,1,7,2]=>[1,1,3,2,1] [2,1,7,6,5,8,3,4]=>[1,2,1,2,2] [5,7,3,6,1,8,2,4]=>[2,2,2,2] [2,7,6,4,5,8,1,3]=>[2,1,3,2] [7,1,6,5,4,8,2,3]=>[1,2,1,2,2] [3,7,5,6,8,4,2,1]=>[2,3,1,1,1] [5,7,1,6,8,2,4,3]=>[2,3,2,1] [8,6,2,5,1,7,4,3]=>[1,1,2,2,1,1] [5,6,2,1,8,7,3,4]=>[2,1,2,1,2] [4,6,2,5,8,3,7,1]=>[2,3,2,1] [7,5,2,6,3,8,1,4]=>[1,1,2,2,2] [4,1,2,3,6,8,7,5]=>[1,5,1,1] [2,4,3,1,8,5,6,7]=>[2,1,2,3] [7,5,2,8,3,4,6,1]=>[1,1,2,3,1] [5,6,2,8,4,3,1,7]=>[2,2,1,1,2] [4,7,2,8,1,5,3,6]=>[2,2,2,2] [8,7,2,1,4,5,6,3]=>[1,1,1,4,1] [3,6,8,7,1,5,4,2]=>[3,1,2,1,1] [5,7,8,6,3,4,1,2]=>[3,1,2,2] [7,1,8,5,4,3,6,2]=>[1,2,1,1,2,1] [2,7,8,4,5,3,6,1]=>[3,2,2,1] [5,7,3,8,1,4,6,2]=>[2,2,3,1] [2,1,7,8,5,4,6,3]=>[1,3,1,2,1] [2,1,5,8,4,6,3,7]=>[1,3,2,2] [6,5,3,8,4,1,2,7]=>[1,1,2,1,3] [7,5,8,4,3,6,2,1]=>[1,2,1,2,1,1] [2,4,8,3,5,6,1,7]=>[3,3,2] [4,1,8,3,6,5,2,7]=>[1,2,2,1,2] [3,4,8,1,7,2,5,6]=>[3,2,3] [8,4,1,3,7,2,6,5]=>[1,1,3,2,1] [3,1,8,2,4,7,6,5]=>[1,2,3,1,1] [2,3,8,1,4,6,7,5]=>[3,4,1] [4,3,8,2,5,1,7,6]=>[1,2,2,2,1] [6,3,8,4,2,5,7,1]=>[1,2,1,3,1] [7,4,3,8,2,5,1,6]=>[1,1,2,2,2] [2,1,4,8,3,5,7,6]=>[1,3,3,1] [6,8,2,4,3,5,1,7]=>[2,2,2,2] [4,8,2,3,5,1,6,7]=>[2,3,3] [3,8,2,1,4,6,5,7]=>[2,1,3,2] [2,8,1,3,4,5,7,6]=>[2,5,1] [5,3,8,7,6,2,4,1]=>[1,2,1,1,2,1] [6,5,4,8,2,7,3,1]=>[1,1,2,2,1,1] [5,4,6,8,2,7,3,1]=>[1,3,2,1,1] [8,5,4,7,6,3,2,1]=>[1,1,2,1,1,1,1] [5,8,6,7,4,3,2,1]=>[2,2,1,1,1,1] [4,8,7,5,6,2,3,1]=>[2,1,2,2,1] [6,8,4,3,7,5,2,1]=>[2,1,2,1,1,1] [5,3,6,8,7,2,4,1]=>[1,3,1,2,1] [5,4,8,3,6,7,1,2]=>[1,2,3,2] [7,4,8,5,6,2,3,1]=>[1,2,2,2,1] [4,3,8,5,2,7,6,1]=>[1,2,1,2,1,1] [6,3,4,5,1,2,8,7]=>[1,3,3,1] [8,3,6,5,4,7,1,2]=>[1,2,1,2,2] [6,3,2,5,8,7,4,1]=>[1,1,3,1,1,1] [6,3,4,8,7,5,1,2]=>[1,3,1,1,2] [8,4,6,5,7,3,1,2]=>[1,2,2,1,2] [8,3,5,7,6,1,4,2]=>[1,3,1,2,1] [2,1,8,5,6,7,3,4]=>[1,2,3,2] [8,5,4,6,2,7,1,3]=>[1,1,2,2,2] [4,8,5,6,2,7,1,3]=>[2,2,2,2] [6,8,4,5,7,2,3,1]=>[2,3,2,1] [8,3,2,5,6,7,1,4]=>[1,1,4,2] [7,3,2,6,8,5,4,1]=>[1,1,3,1,1,1] [4,8,5,3,2,7,6,1]=>[2,1,1,2,1,1] [8,3,4,5,1,7,6,2]=>[1,3,2,1,1] [7,3,5,6,8,1,4,2]=>[1,4,2,1] [8,3,4,7,6,5,1,2]=>[1,3,1,1,2] [7,4,8,3,6,5,2,1]=>[1,2,2,1,1,1] [9,1,2,3,4,5,6,7,8]=>[1,8] [3,1,9,2,4,5,6,7,8]=>[1,2,6] [3,1,5,2,7,4,9,6,8]=>[1,2,2,2,2] [3,1,5,2,7,4,8,9,6]=>[1,2,2,3,1] [9,1,4,2,3,5,6,7,8]=>[1,2,6] [3,1,4,9,2,5,6,7,8]=>[1,3,5] [3,1,4,5,6,7,8,9,2]=>[1,7,1] [2,9,1,3,4,5,6,7,8]=>[2,7] [2,4,1,9,3,5,6,7,8]=>[2,2,5] [2,9,1,5,3,4,6,7,8]=>[2,2,5] [2,4,1,5,9,3,6,7,8]=>[2,3,4] [2,7,1,5,6,3,8,9,4]=>[2,3,3,1] [2,9,1,8,6,7,3,4,5]=>[2,2,2,3] [2,8,1,5,6,7,3,9,4]=>[2,4,2,1] [2,4,1,5,9,7,8,3,6]=>[2,3,2,2] [2,4,1,9,6,7,8,3,5]=>[2,2,3,2] [2,9,1,5,6,7,8,3,4]=>[2,5,2] [2,4,1,5,6,7,8,9,3]=>[2,6,1] [9,3,1,2,4,5,6,7,8]=>[1,1,7] [5,3,1,2,9,4,6,7,8]=>[1,1,3,4] [9,3,1,2,6,4,5,7,8]=>[1,1,3,4] [5,3,1,2,6,9,4,7,8]=>[1,1,4,3] [9,4,1,2,3,5,6,7,8]=>[1,1,7] [6,4,1,2,3,9,5,7,8]=>[1,1,4,3] [9,4,1,2,3,7,5,6,8]=>[1,1,4,3] [6,4,1,2,3,7,9,5,8]=>[1,1,5,2] [5,9,1,2,3,4,6,7,8]=>[2,7] [5,7,1,2,3,4,9,6,8]=>[2,5,2] [5,9,1,2,3,4,8,6,7]=>[2,5,2] [5,7,1,2,3,4,8,9,6]=>[2,6,1] [9,6,1,2,3,4,5,7,8]=>[1,1,7] [8,6,1,2,3,4,5,9,7]=>[1,1,6,1] [9,7,1,2,3,4,5,6,8]=>[1,1,7] [8,9,1,2,3,4,5,6,7]=>[2,7] [7,3,4,5,6,1,8,9,2]=>[1,4,3,1] [9,8,4,5,6,7,1,2,3]=>[1,1,4,3] [8,3,4,5,6,7,1,9,2]=>[1,5,2,1] [2,3,9,5,6,7,8,1,4]=>[3,4,2] [2,9,4,5,6,7,8,1,3]=>[2,5,2] [9,3,4,5,6,7,8,1,2]=>[1,6,2] [2,3,4,5,6,7,8,9,1]=>[8,1] [2,3,4,5,6,7,8,1,9]=>[7,2] [3,4,5,6,7,8,9,1,2]=>[7,2] [2,3,4,5,6,7,1,8,9]=>[6,3] [1,2,3,4,5,6,7,9,8]=>[8,1] [2,1,3,4,5,6,7,8,9]=>[1,8] [2,1,9,3,4,5,6,7,8]=>[1,2,6] [1,2,3,4,5,6,7,8,9]=>[9] [1,2,3,4,5,6,8,9,7]=>[8,1] [1,3,4,5,6,7,8,9,2]=>[8,1] [9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1] [8,9,7,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1] [8,7,9,6,5,4,3,2,1]=>[1,2,1,1,1,1,1,1] [1,2,3,4,5,6,9,7,8]=>[7,2] [8,1,2,3,4,5,6,7,9]=>[1,8] [1,9,2,3,4,5,6,7,8]=>[2,7] [2,1,4,3,6,5,8,7,9]=>[1,2,2,2,2] [1,3,2,5,4,7,6,9,8]=>[2,2,2,2,1] [2,3,1,4,5,6,7,8,9]=>[2,7] [2,3,4,1,5,6,7,8,9]=>[3,6] [2,3,4,5,1,6,7,8,9]=>[4,5] [2,3,4,5,6,1,7,8,9]=>[5,4] [3,4,1,5,6,7,8,9,2]=>[2,6,1] [3,4,5,1,6,7,8,9,2]=>[3,5,1] [3,4,5,6,1,7,8,9,2]=>[4,4,1] [3,4,5,6,7,1,8,9,2]=>[5,3,1] [3,4,5,6,7,8,1,9,2]=>[6,2,1] [3,4,5,6,7,8,1,2,9]=>[6,3] [7,9,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1] [3,4,5,6,7,1,8,2,9]=>[5,2,2] [2,1,4,3,5,6,7,8,9]=>[1,2,6] [3,1,4,2,6,5,8,7,9]=>[1,2,2,2,2] [3,1,5,2,6,4,8,7,9]=>[1,2,2,2,2] [3,1,5,2,7,4,8,6,9]=>[1,2,2,2,2] [3,1,5,2,7,4,6,9,8]=>[1,2,2,3,1] [3,1,5,2,4,7,6,9,8]=>[1,2,3,2,1] [3,1,2,5,4,7,6,9,8]=>[1,3,2,2,1] [7,9,1,2,3,4,5,6,8]=>[2,7] [8,1,9,2,3,4,5,6,7]=>[1,2,6] [2,1,8,9,3,4,5,6,7]=>[1,3,5] [2,1,9,8,7,6,5,4,3]=>[1,2,1,1,1,1,1,1] [2,3,4,5,6,7,1,9,8]=>[6,2,1] [2,1,4,5,6,7,8,9,3]=>[1,7,1] [1,3,9,2,4,5,6,7,8]=>[3,6] [2,3,4,5,6,1,8,7,9]=>[5,2,2] [2,3,4,5,1,7,6,8,9]=>[4,2,3] [2,3,4,1,6,5,7,8,9]=>[3,2,4] [2,3,1,5,4,6,7,8,9]=>[2,2,5] [1,3,2,4,5,6,7,8,9]=>[2,7] [3,5,1,2,4,7,6,9,8]=>[2,4,2,1] [3,1,5,7,2,4,6,9,8]=>[1,3,4,1] [3,1,5,2,7,9,4,6,8]=>[1,2,3,3] [3,1,5,2,6,4,9,7,8]=>[1,2,2,2,2] [3,1,4,2,7,5,8,6,9]=>[1,2,2,2,2] [2,1,5,3,6,4,8,7,9]=>[1,2,2,2,2] [1,3,2,9,4,5,6,7,8]=>[2,2,5] [1,3,8,2,4,5,6,7,9]=>[3,6] [3,4,5,6,1,7,2,9,8]=>[4,2,2,1] [3,4,5,1,6,2,8,9,7]=>[3,2,3,1] [3,4,1,5,2,7,8,9,6]=>[2,2,4,1] [3,1,4,2,6,7,8,9,5]=>[1,2,5,1] [1,3,2,5,6,7,8,9,4]=>[2,6,1] [2,1,8,3,9,4,5,6,7]=>[1,2,2,4] [2,1,7,9,3,4,5,6,8]=>[1,3,5] [2,1,8,9,7,6,5,4,3]=>[1,3,1,1,1,1,1] [2,1,8,7,9,6,5,4,3]=>[1,2,2,1,1,1,1] [2,1,7,9,8,6,5,4,3]=>[1,3,1,1,1,1,1] [2,1,4,3,6,5,8,7,10,9]=>[1,2,2,2,2,1] [4,3,2,1,6,5,8,7,10,9]=>[1,1,1,2,2,2,1] [6,3,2,5,4,1,8,7,10,9]=>[1,1,2,1,2,2,1] [8,3,2,5,4,7,6,1,10,9]=>[1,1,2,2,1,2,1] [10,3,2,5,4,7,6,9,8,1]=>[1,1,2,2,2,1,1] [2,1,6,5,4,3,8,7,10,9]=>[1,2,1,1,2,2,1] [6,5,4,3,2,1,8,7,10,9]=>[1,1,1,1,1,2,2,1] [8,5,4,3,2,7,6,1,10,9]=>[1,1,1,1,2,1,2,1] [10,5,4,3,2,7,6,9,8,1]=>[1,1,1,1,2,2,1,1] [2,1,8,5,4,7,6,3,10,9]=>[1,2,1,2,1,2,1] [8,7,4,3,6,5,2,1,10,9]=>[1,1,1,2,1,1,2,1] [10,7,4,3,6,5,2,9,8,1]=>[1,1,1,2,1,2,1,1] [2,1,10,5,4,7,6,9,8,3]=>[1,2,1,2,2,1,1] [10,9,4,3,6,5,8,7,2,1]=>[1,1,1,2,2,1,1,1] [2,1,4,3,8,7,6,5,10,9]=>[1,2,2,1,1,2,1] [4,3,2,1,8,7,6,5,10,9]=>[1,1,1,2,1,1,2,1] [8,3,2,7,6,5,4,1,10,9]=>[1,1,2,1,1,1,2,1] [10,3,2,7,6,5,4,9,8,1]=>[1,1,2,1,1,2,1,1] [2,1,8,7,6,5,4,3,10,9]=>[1,2,1,1,1,1,2,1] [8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,2,1] [10,7,6,5,4,3,2,9,8,1]=>[1,1,1,1,1,1,2,1,1] [2,1,10,7,6,5,4,9,8,3]=>[1,2,1,1,1,2,1,1] [10,9,6,5,4,3,8,7,2,1]=>[1,1,1,1,1,2,1,1,1] [2,1,4,3,10,7,6,9,8,5]=>[1,2,2,1,2,1,1] [4,3,2,1,10,7,6,9,8,5]=>[1,1,1,2,1,2,1,1] [10,3,2,9,6,5,8,7,4,1]=>[1,1,2,1,2,1,1,1] [2,1,10,9,6,5,8,7,4,3]=>[1,2,1,1,2,1,1,1] [10,9,8,5,4,7,6,3,2,1]=>[1,1,1,1,2,1,1,1,1] [2,1,4,3,6,5,10,9,8,7]=>[1,2,2,2,1,1,1] [4,3,2,1,6,5,10,9,8,7]=>[1,1,1,2,2,1,1,1] [6,3,2,5,4,1,10,9,8,7]=>[1,1,2,1,2,1,1,1] [10,3,2,5,4,9,8,7,6,1]=>[1,1,2,2,1,1,1,1] [2,1,6,5,4,3,10,9,8,7]=>[1,2,1,1,2,1,1,1] [6,5,4,3,2,1,10,9,8,7]=>[1,1,1,1,1,2,1,1,1] [10,5,4,3,2,9,8,7,6,1]=>[1,1,1,1,2,1,1,1,1] [2,1,10,5,4,9,8,7,6,3]=>[1,2,1,2,1,1,1,1] [10,9,4,3,8,7,6,5,2,1]=>[1,1,1,2,1,1,1,1,1] [2,1,4,3,10,9,8,7,6,5]=>[1,2,2,1,1,1,1,1] [4,3,2,1,10,9,8,7,6,5]=>[1,1,1,2,1,1,1,1,1] [10,3,2,9,8,7,6,5,4,1]=>[1,1,2,1,1,1,1,1,1] [2,1,10,9,8,7,6,5,4,3]=>[1,2,1,1,1,1,1,1,1] [10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1] [2,3,4,5,6,7,8,9,10,1]=>[9,1] [2,3,4,5,6,7,8,9,1,10]=>[8,2] [3,4,5,6,7,8,9,10,1,2]=>[8,2] [1,2,3,4,5,6,7,8,10,9]=>[9,1] [2,1,3,4,5,6,7,8,9,10]=>[1,9] [2,10,1,3,4,5,6,7,8,9]=>[2,8] [1,2,3,4,5,6,7,8,9,10]=>[10] [1,3,4,5,6,7,8,9,10,2]=>[9,1] [9,10,8,7,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1,1] [10,1,2,3,4,5,6,7,8,9]=>[1,9] [10,9,1,2,3,4,5,6,7,8]=>[1,1,8] [3,1,4,5,6,7,8,9,10,2]=>[1,8,1] [9,10,1,2,3,4,5,6,7,8]=>[2,8] [1,3,2,5,4,7,6,9,8,10]=>[2,2,2,2,2] [2,3,1,4,5,6,7,8,9,10]=>[2,8] [2,3,4,1,5,6,7,8,9,10]=>[3,7] [2,3,4,5,1,6,7,8,9,10]=>[4,6] [2,3,4,5,6,1,7,8,9,10]=>[5,5] [2,3,4,5,6,7,1,8,9,10]=>[6,4] [2,3,4,5,6,7,8,1,9,10]=>[7,3] [3,4,1,5,6,7,8,9,10,2]=>[2,7,1] [3,4,5,1,6,7,8,9,10,2]=>[3,6,1] [3,4,5,6,1,7,8,9,10,2]=>[4,5,1] [3,4,5,6,7,1,8,9,10,2]=>[5,4,1] [3,4,5,6,7,8,1,9,10,2]=>[6,3,1] [3,4,5,6,7,8,9,1,10,2]=>[7,2,1] [3,1,4,2,6,5,8,7,10,9]=>[1,2,2,2,2,1] [3,1,5,2,6,4,8,7,10,9]=>[1,2,2,2,2,1] [3,1,5,2,7,4,8,6,10,9]=>[1,2,2,2,2,1] [3,1,5,2,7,4,9,6,10,8]=>[1,2,2,2,2,1] [3,1,5,2,7,4,9,6,8,10]=>[1,2,2,2,3] [3,1,5,2,7,4,6,9,8,10]=>[1,2,2,3,2] [3,1,5,2,4,7,6,9,8,10]=>[1,2,3,2,2] [3,1,2,5,4,7,6,9,8,10]=>[1,3,2,2,2] [10,3,1,2,4,5,6,7,8,9]=>[1,1,8] [10,4,1,2,3,5,6,7,8,9]=>[1,1,8] [5,10,1,2,3,4,6,7,8,9]=>[2,8] [10,6,1,2,3,4,5,7,8,9]=>[1,1,8] [10,7,1,2,3,4,5,6,8,9]=>[1,1,8] [8,10,1,2,3,4,5,6,7,9]=>[2,8] [2,4,1,5,6,7,8,9,10,3]=>[2,7,1] [10,3,4,5,6,7,8,9,1,2]=>[1,7,2] [2,10,1,5,6,7,8,9,3,4]=>[2,6,2] [2,10,4,5,6,7,8,9,1,3]=>[2,6,2] [9,3,4,5,6,7,8,1,10,2]=>[1,6,2,1] [2,4,1,10,6,7,8,9,3,5]=>[2,2,4,2] [2,9,1,5,6,7,8,3,10,4]=>[2,5,2,1] [1,3,2,4,5,6,7,8,9,10]=>[2,8] [1,3,10,2,4,5,6,7,8,9]=>[3,7] [9,7,1,2,3,4,5,6,10,8]=>[1,1,7,1] [8,6,1,2,3,4,5,10,7,9]=>[1,1,6,2] [5,7,1,2,3,4,10,6,8,9]=>[2,5,3] [6,4,1,2,3,10,5,7,8,9]=>[1,1,4,4] [5,3,1,2,10,4,6,7,8,9]=>[1,1,3,5] [2,4,1,10,3,5,6,7,8,9]=>[2,2,6] [3,1,10,2,4,5,6,7,8,9]=>[1,2,7] [2,1,10,3,4,5,6,7,8,9]=>[1,2,7] [2,1,9,10,3,4,5,6,7,8]=>[1,3,6] [2,1,9,10,8,7,6,5,4,3]=>[1,3,1,1,1,1,1,1] [11,1,2,3,4,5,6,7,8,9,10]=>[1,10] [11,10,1,2,3,4,5,6,7,8,9]=>[1,1,9] [2,3,4,5,6,7,8,9,10,11,1]=>[10,1] [2,11,1,3,4,5,6,7,8,9,10]=>[2,9] [11,3,1,2,4,5,6,7,8,9,10]=>[1,1,9] [11,4,1,2,3,5,6,7,8,9,10]=>[1,1,9] [5,11,1,2,3,4,6,7,8,9,10]=>[2,9] [11,6,1,2,3,4,5,7,8,9,10]=>[1,1,9] [11,7,1,2,3,4,5,6,8,9,10]=>[1,1,9] [8,11,1,2,3,4,5,6,7,9,10]=>[2,9] [11,9,1,2,3,4,5,6,7,8,10]=>[1,1,9] [2,4,1,5,6,7,8,9,10,11,3]=>[2,8,1] [11,3,4,5,6,7,8,9,10,1,2]=>[1,8,2] [2,11,1,5,6,7,8,9,10,3,4]=>[2,7,2] [1,2,3,4,5,6,7,8,9,10,11]=>[11] [1,3,2,4,5,6,7,8,9,10,11]=>[2,9] [2,1,11,3,4,5,6,7,8,9,10]=>[1,2,8] [11,10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1] [2,1,11,10,9,8,7,6,5,4,3]=>[1,2,1,1,1,1,1,1,1,1] [3,4,5,6,7,8,9,10,11,1,2]=>[9,2] [2,1,4,3,6,5,8,7,10,9,12,11]=>[1,2,2,2,2,2,1] [2,1,4,3,6,5,8,7,12,11,10,9]=>[1,2,2,2,2,1,1,1] [2,1,4,3,6,5,10,9,8,7,12,11]=>[1,2,2,2,1,1,2,1] [2,1,4,3,6,5,12,9,8,11,10,7]=>[1,2,2,2,1,2,1,1] [2,1,4,3,6,5,12,11,10,9,8,7]=>[1,2,2,2,1,1,1,1,1] [2,1,4,3,8,7,6,5,10,9,12,11]=>[1,2,2,1,1,2,2,1] [2,1,4,3,8,7,6,5,12,11,10,9]=>[1,2,2,1,1,2,1,1,1] [2,1,4,3,10,7,6,9,8,5,12,11]=>[1,2,2,1,2,1,2,1] [2,1,4,3,12,7,6,9,8,11,10,5]=>[1,2,2,1,2,2,1,1] [2,1,4,3,12,7,6,11,10,9,8,5]=>[1,2,2,1,2,1,1,1,1] [2,1,4,3,10,9,8,7,6,5,12,11]=>[1,2,2,1,1,1,1,2,1] [2,1,4,3,12,9,8,7,6,11,10,5]=>[1,2,2,1,1,1,2,1,1] [2,1,4,3,12,11,8,7,10,9,6,5]=>[1,2,2,1,1,2,1,1,1] [2,1,4,3,12,11,10,9,8,7,6,5]=>[1,2,2,1,1,1,1,1,1,1] [2,1,6,5,4,3,8,7,10,9,12,11]=>[1,2,1,1,2,2,2,1] [2,1,6,5,4,3,8,7,12,11,10,9]=>[1,2,1,1,2,2,1,1,1] [2,1,6,5,4,3,10,9,8,7,12,11]=>[1,2,1,1,2,1,1,2,1] [2,1,6,5,4,3,12,9,8,11,10,7]=>[1,2,1,1,2,1,2,1,1] [2,1,6,5,4,3,12,11,10,9,8,7]=>[1,2,1,1,2,1,1,1,1,1] [2,1,8,5,4,7,6,3,10,9,12,11]=>[1,2,1,2,1,2,2,1] [2,1,8,5,4,7,6,3,12,11,10,9]=>[1,2,1,2,1,2,1,1,1] [2,1,10,5,4,7,6,9,8,3,12,11]=>[1,2,1,2,2,1,2,1] [2,1,12,5,4,7,6,9,8,11,10,3]=>[1,2,1,2,2,2,1,1] [2,1,12,5,4,7,6,11,10,9,8,3]=>[1,2,1,2,2,1,1,1,1] [2,1,10,5,4,9,8,7,6,3,12,11]=>[1,2,1,2,1,1,1,2,1] [2,1,12,5,4,9,8,7,6,11,10,3]=>[1,2,1,2,1,1,2,1,1] [2,1,12,5,4,11,8,7,10,9,6,3]=>[1,2,1,2,1,2,1,1,1] [2,1,12,5,4,11,10,9,8,7,6,3]=>[1,2,1,2,1,1,1,1,1,1] [2,1,8,7,6,5,4,3,10,9,12,11]=>[1,2,1,1,1,1,2,2,1] [2,1,8,7,6,5,4,3,12,11,10,9]=>[1,2,1,1,1,1,2,1,1,1] [2,1,10,7,6,5,4,9,8,3,12,11]=>[1,2,1,1,1,2,1,2,1] [2,1,12,7,6,5,4,9,8,11,10,3]=>[1,2,1,1,1,2,2,1,1] [2,1,12,7,6,5,4,11,10,9,8,3]=>[1,2,1,1,1,2,1,1,1,1] [2,1,10,9,6,5,8,7,4,3,12,11]=>[1,2,1,1,2,1,1,2,1] [2,1,12,9,6,5,8,7,4,11,10,3]=>[1,2,1,1,2,1,2,1,1] [2,1,12,11,6,5,8,7,10,9,4,3]=>[1,2,1,1,2,2,1,1,1] [2,1,12,11,6,5,10,9,8,7,4,3]=>[1,2,1,1,2,1,1,1,1,1] [2,1,10,9,8,7,6,5,4,3,12,11]=>[1,2,1,1,1,1,1,1,2,1] [2,1,12,9,8,7,6,5,4,11,10,3]=>[1,2,1,1,1,1,1,2,1,1] [2,1,12,11,8,7,6,5,10,9,4,3]=>[1,2,1,1,1,1,2,1,1,1] [2,1,12,11,10,7,6,9,8,5,4,3]=>[1,2,1,1,1,2,1,1,1,1] [2,1,12,11,10,9,8,7,6,5,4,3]=>[1,2,1,1,1,1,1,1,1,1,1] [4,3,2,1,6,5,8,7,10,9,12,11]=>[1,1,1,2,2,2,2,1] [4,3,2,1,6,5,8,7,12,11,10,9]=>[1,1,1,2,2,2,1,1,1] [4,3,2,1,6,5,10,9,8,7,12,11]=>[1,1,1,2,2,1,1,2,1] [4,3,2,1,6,5,12,9,8,11,10,7]=>[1,1,1,2,2,1,2,1,1] [4,3,2,1,6,5,12,11,10,9,8,7]=>[1,1,1,2,2,1,1,1,1,1] [4,3,2,1,8,7,6,5,10,9,12,11]=>[1,1,1,2,1,1,2,2,1] [4,3,2,1,8,7,6,5,12,11,10,9]=>[1,1,1,2,1,1,2,1,1,1] [4,3,2,1,10,7,6,9,8,5,12,11]=>[1,1,1,2,1,2,1,2,1] [4,3,2,1,12,7,6,9,8,11,10,5]=>[1,1,1,2,1,2,2,1,1] [4,3,2,1,12,7,6,11,10,9,8,5]=>[1,1,1,2,1,2,1,1,1,1] [4,3,2,1,10,9,8,7,6,5,12,11]=>[1,1,1,2,1,1,1,1,2,1] [4,3,2,1,12,9,8,7,6,11,10,5]=>[1,1,1,2,1,1,1,2,1,1] [4,3,2,1,12,11,8,7,10,9,6,5]=>[1,1,1,2,1,1,2,1,1,1] [4,3,2,1,12,11,10,9,8,7,6,5]=>[1,1,1,2,1,1,1,1,1,1,1] [6,3,2,5,4,1,8,7,10,9,12,11]=>[1,1,2,1,2,2,2,1] [6,3,2,5,4,1,8,7,12,11,10,9]=>[1,1,2,1,2,2,1,1,1] [6,3,2,5,4,1,10,9,8,7,12,11]=>[1,1,2,1,2,1,1,2,1] [6,3,2,5,4,1,12,9,8,11,10,7]=>[1,1,2,1,2,1,2,1,1] [6,3,2,5,4,1,12,11,10,9,8,7]=>[1,1,2,1,2,1,1,1,1,1] [8,3,2,5,4,7,6,1,10,9,12,11]=>[1,1,2,2,1,2,2,1] [8,3,2,5,4,7,6,1,12,11,10,9]=>[1,1,2,2,1,2,1,1,1] [10,3,2,5,4,7,6,9,8,1,12,11]=>[1,1,2,2,2,1,2,1] [12,3,2,5,4,7,6,9,8,11,10,1]=>[1,1,2,2,2,2,1,1] [12,3,2,5,4,7,6,11,10,9,8,1]=>[1,1,2,2,2,1,1,1,1] [10,3,2,5,4,9,8,7,6,1,12,11]=>[1,1,2,2,1,1,1,2,1] [12,3,2,5,4,9,8,7,6,11,10,1]=>[1,1,2,2,1,1,2,1,1] [12,3,2,5,4,11,8,7,10,9,6,1]=>[1,1,2,2,1,2,1,1,1] [12,3,2,5,4,11,10,9,8,7,6,1]=>[1,1,2,2,1,1,1,1,1,1] [8,3,2,7,6,5,4,1,10,9,12,11]=>[1,1,2,1,1,1,2,2,1] [8,3,2,7,6,5,4,1,12,11,10,9]=>[1,1,2,1,1,1,2,1,1,1] [10,3,2,7,6,5,4,9,8,1,12,11]=>[1,1,2,1,1,2,1,2,1] [12,3,2,7,6,5,4,9,8,11,10,1]=>[1,1,2,1,1,2,2,1,1] [12,3,2,7,6,5,4,11,10,9,8,1]=>[1,1,2,1,1,2,1,1,1,1] [10,3,2,9,6,5,8,7,4,1,12,11]=>[1,1,2,1,2,1,1,2,1] [12,3,2,9,6,5,8,7,4,11,10,1]=>[1,1,2,1,2,1,2,1,1] [12,3,2,11,6,5,8,7,10,9,4,1]=>[1,1,2,1,2,2,1,1,1] [12,3,2,11,6,5,10,9,8,7,4,1]=>[1,1,2,1,2,1,1,1,1,1] [10,3,2,9,8,7,6,5,4,1,12,11]=>[1,1,2,1,1,1,1,1,2,1] [12,3,2,9,8,7,6,5,4,11,10,1]=>[1,1,2,1,1,1,1,2,1,1] [12,3,2,11,8,7,6,5,10,9,4,1]=>[1,1,2,1,1,1,2,1,1,1] [12,3,2,11,10,7,6,9,8,5,4,1]=>[1,1,2,1,1,2,1,1,1,1] [12,3,2,11,10,9,8,7,6,5,4,1]=>[1,1,2,1,1,1,1,1,1,1,1] [6,5,4,3,2,1,8,7,10,9,12,11]=>[1,1,1,1,1,2,2,2,1] [6,5,4,3,2,1,8,7,12,11,10,9]=>[1,1,1,1,1,2,2,1,1,1] [6,5,4,3,2,1,10,9,8,7,12,11]=>[1,1,1,1,1,2,1,1,2,1] [6,5,4,3,2,1,12,9,8,11,10,7]=>[1,1,1,1,1,2,1,2,1,1] [6,5,4,3,2,1,12,11,10,9,8,7]=>[1,1,1,1,1,2,1,1,1,1,1] [8,5,4,3,2,7,6,1,10,9,12,11]=>[1,1,1,1,2,1,2,2,1] [8,5,4,3,2,7,6,1,12,11,10,9]=>[1,1,1,1,2,1,2,1,1,1] [10,5,4,3,2,7,6,9,8,1,12,11]=>[1,1,1,1,2,2,1,2,1] [12,5,4,3,2,7,6,9,8,11,10,1]=>[1,1,1,1,2,2,2,1,1] [12,5,4,3,2,7,6,11,10,9,8,1]=>[1,1,1,1,2,2,1,1,1,1] [10,5,4,3,2,9,8,7,6,1,12,11]=>[1,1,1,1,2,1,1,1,2,1] [12,5,4,3,2,9,8,7,6,11,10,1]=>[1,1,1,1,2,1,1,2,1,1] [12,5,4,3,2,11,8,7,10,9,6,1]=>[1,1,1,1,2,1,2,1,1,1] [12,5,4,3,2,11,10,9,8,7,6,1]=>[1,1,1,1,2,1,1,1,1,1,1] [8,7,4,3,6,5,2,1,10,9,12,11]=>[1,1,1,2,1,1,2,2,1] [8,7,4,3,6,5,2,1,12,11,10,9]=>[1,1,1,2,1,1,2,1,1,1] [10,7,4,3,6,5,2,9,8,1,12,11]=>[1,1,1,2,1,2,1,2,1] [12,7,4,3,6,5,2,9,8,11,10,1]=>[1,1,1,2,1,2,2,1,1] [12,7,4,3,6,5,2,11,10,9,8,1]=>[1,1,1,2,1,2,1,1,1,1] [10,9,4,3,6,5,8,7,2,1,12,11]=>[1,1,1,2,2,1,1,2,1] [12,9,4,3,6,5,8,7,2,11,10,1]=>[1,1,1,2,2,1,2,1,1] [12,11,4,3,6,5,8,7,10,9,2,1]=>[1,1,1,2,2,2,1,1,1] [12,11,4,3,6,5,10,9,8,7,2,1]=>[1,1,1,2,2,1,1,1,1,1] [10,9,4,3,8,7,6,5,2,1,12,11]=>[1,1,1,2,1,1,1,1,2,1] [12,9,4,3,8,7,6,5,2,11,10,1]=>[1,1,1,2,1,1,1,2,1,1] [12,11,4,3,8,7,6,5,10,9,2,1]=>[1,1,1,2,1,1,2,1,1,1] [12,11,4,3,10,7,6,9,8,5,2,1]=>[1,1,1,2,1,2,1,1,1,1] [12,11,4,3,10,9,8,7,6,5,2,1]=>[1,1,1,2,1,1,1,1,1,1,1] [8,7,6,5,4,3,2,1,10,9,12,11]=>[1,1,1,1,1,1,1,2,2,1] [8,7,6,5,4,3,2,1,12,11,10,9]=>[1,1,1,1,1,1,1,2,1,1,1] [10,7,6,5,4,3,2,9,8,1,12,11]=>[1,1,1,1,1,1,2,1,2,1] [12,7,6,5,4,3,2,9,8,11,10,1]=>[1,1,1,1,1,1,2,2,1,1] [12,7,6,5,4,3,2,11,10,9,8,1]=>[1,1,1,1,1,1,2,1,1,1,1] [10,9,6,5,4,3,8,7,2,1,12,11]=>[1,1,1,1,1,2,1,1,2,1] [12,9,6,5,4,3,8,7,2,11,10,1]=>[1,1,1,1,1,2,1,2,1,1] [12,11,6,5,4,3,8,7,10,9,2,1]=>[1,1,1,1,1,2,2,1,1,1] [12,11,6,5,4,3,10,9,8,7,2,1]=>[1,1,1,1,1,2,1,1,1,1,1] [10,9,8,5,4,7,6,3,2,1,12,11]=>[1,1,1,1,2,1,1,1,2,1] [12,9,8,5,4,7,6,3,2,11,10,1]=>[1,1,1,1,2,1,1,2,1,1] [12,11,8,5,4,7,6,3,10,9,2,1]=>[1,1,1,1,2,1,2,1,1,1] [12,11,10,5,4,7,6,9,8,3,2,1]=>[1,1,1,1,2,2,1,1,1,1] [12,11,10,5,4,9,8,7,6,3,2,1]=>[1,1,1,1,2,1,1,1,1,1,1] [10,9,8,7,6,5,4,3,2,1,12,11]=>[1,1,1,1,1,1,1,1,1,2,1] [12,9,8,7,6,5,4,3,2,11,10,1]=>[1,1,1,1,1,1,1,1,2,1,1] [12,11,8,7,6,5,4,3,10,9,2,1]=>[1,1,1,1,1,1,1,2,1,1,1] [12,11,10,7,6,5,4,9,8,3,2,1]=>[1,1,1,1,1,1,2,1,1,1,1] [12,11,10,9,6,5,8,7,4,3,2,1]=>[1,1,1,1,1,2,1,1,1,1,1] [12,11,10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,1] [2,3,4,5,6,7,8,9,10,11,12,1]=>[11,1] [2,4,1,5,6,7,8,9,10,11,12,3]=>[2,9,1]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
Properties
def mapping(elt):