=>

[1]=>[1]=>[1,0] [1,1]=>[2]=>[1,1,0,0] [2]=>[1,1]=>[1,0,1,0] [1,1,1]=>[3]=>[1,1,1,0,0,0] [1,2]=>[1,2]=>[1,0,1,1,0,0] [2,1]=>[2,1]=>[1,1,0,0,1,0] [3]=>[1,1,1]=>[1,0,1,0,1,0] [1,1,1,1]=>[4]=>[1,1,1,1,0,0,0,0] [1,1,2]=>[1,3]=>[1,0,1,1,1,0,0,0] [1,2,1]=>[2,2]=>[1,1,0,0,1,1,0,0] [1,3]=>[1,1,2]=>[1,0,1,0,1,1,0,0] [2,1,1]=>[3,1]=>[1,1,1,0,0,0,1,0] [2,2]=>[1,2,1]=>[1,0,1,1,0,0,1,0] [3,1]=>[2,1,1]=>[1,1,0,0,1,0,1,0] [4]=>[1,1,1,1]=>[1,0,1,0,1,0,1,0] [1,1,1,1,1]=>[5]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,2]=>[1,4]=>[1,0,1,1,1,1,0,0,0,0] [1,1,2,1]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0] [1,1,3]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0] [1,2,1,1]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0] [1,2,2]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0] [1,3,1]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0] [1,4]=>[1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0] [2,1,1,1]=>[4,1]=>[1,1,1,1,0,0,0,0,1,0] [2,1,2]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0] [2,2,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0] [2,3]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0] [3,1,1]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0] [3,2]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0] [4,1]=>[2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0] [5]=>[1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1]=>[6]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,2]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,2,1]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,3]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,1,1]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,2]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,1]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0] [1,1,4]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0] [1,2,1,1,1]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,2]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,1]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0] [1,2,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0] [1,3,1,1]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0] [1,3,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0] [1,4,1]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0] [1,5]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,1,1]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,2]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0] [2,1,2,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0] [2,1,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0] [2,2,1,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0] [2,2,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0] [2,3,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0] [2,4]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0] [3,1,1,1]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0] [3,1,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0] [3,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0] [3,3]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0] [4,1,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0] [4,2]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0] [5,1]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0] [6]=>[1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1,1]=>[7]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,2]=>[1,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,2,1]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,2,1,1]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,3,1]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,1,1,1]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,2]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,2,1]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,1,1]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,2]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,4,1]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,5]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,2,1,1,1,1]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,2]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,2,1]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,1,1]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,3,1]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,3,1,1,1]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,3,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,2,1]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,4,1,1]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,4,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,5,1]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,6]=>[1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,1,1,1]=>[6,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,1,1,2]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,2,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,2,1,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,3,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,2,1,1,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,1,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,2,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,3,1,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,3,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,4,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,5]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0] [3,1,1,1,1]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [3,1,1,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,2,1,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,4]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0] [4,1,1,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0] [4,3]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0] [5,1,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0] [5,2]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0] [6,1]=>[2,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0] [7]=>[1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1,1,1]=>[8]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,2]=>[1,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,2,1]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,3]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,2,1,1]=>[3,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,2]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,1]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,4]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,2,1,1,1]=>[4,4]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,2]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,1]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,3]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,1]=>[3,1,4]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,2]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,1]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,5]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,1,1,1,1]=>[5,3]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,1]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,3]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,2,1,1]=>[3,2,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,1,1,1]=>[4,1,3]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,2]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,3]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,4,1,1]=>[3,1,1,3]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,2]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,5,1]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,6]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,2,1,1,1,1,1]=>[6,2]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,2]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,2,1]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,2,1,1]=>[3,3,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,1]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,1,1,1]=>[4,2,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,3,1,1]=>[3,1,2,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,4,1]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,3,1,1,1,1]=>[5,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,3,1,2,1]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,2,1,1]=>[3,2,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,3,1]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,4,1,1,1]=>[4,1,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,4,2,1]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,5,1,1]=>[3,1,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,6,1]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,7]=>[1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,1,1,1,1]=>[7,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [2,1,1,1,1,2]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,1,1,2,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,2,1,1]=>[3,4,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,3,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,2,1,1,1]=>[4,3,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,3,1,1]=>[3,1,3,1]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,4,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,2,1,1,1,1]=>[5,2,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,1,2,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,2,1,1]=>[3,2,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,3,1,1,1]=>[4,1,2,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,3,2,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,4,1,1]=>[3,1,1,2,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,5,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,6]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [3,1,1,1,1,1]=>[6,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [3,1,1,1,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [3,1,1,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,2,1,1]=>[3,3,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,2,1,1,1]=>[4,2,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,3,1,1]=>[3,1,2,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,5]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [4,1,1,1,1]=>[5,1,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [4,1,1,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,2,1,1]=>[3,2,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,4]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [5,1,1,1]=>[4,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [5,1,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [5,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,3]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [6,1,1]=>[3,1,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [6,2]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [7,1]=>[2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [8]=>[1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1,1,1,1]=>[9]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,2]=>[1,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,2,1]=>[2,7]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,3]=>[1,1,7]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,2,1,1]=>[3,6]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,2,2]=>[1,2,6]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,3,1]=>[2,1,6]=>[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,4]=>[1,1,1,6]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,2,1,1,1]=>[4,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,1,2]=>[1,3,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,2,1]=>[2,2,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,3]=>[1,1,2,5]=>[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,1,1]=>[3,1,5]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,2]=>[1,2,1,5]=>[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,4,1]=>[2,1,1,5]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,5]=>[1,1,1,1,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,2,1,1,1,1]=>[5,4]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,2]=>[1,4,4]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,2,1]=>[2,3,4]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,3]=>[1,1,3,4]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,1,1]=>[3,2,4]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,2]=>[1,2,2,4]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,3,1]=>[2,1,2,4]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,4]=>[1,1,1,2,4]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,1,1]=>[4,1,4]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,2]=>[1,3,1,4]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,2,1]=>[2,2,1,4]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,3]=>[1,1,2,1,4]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,1,1]=>[3,1,1,4]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,2]=>[1,2,1,1,4]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,5,1]=>[2,1,1,1,4]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,6]=>[1,1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,1,1,1,1,1]=>[6,3]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,1,2]=>[1,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,1]=>[2,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,3]=>[1,1,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,1,1]=>[3,3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,2]=>[1,2,3,3]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,3,1]=>[2,1,3,3]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,4]=>[1,1,1,3,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,2,1,1,1]=>[4,2,3]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,2]=>[1,3,2,3]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2,1]=>[2,2,2,3]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,3]=>[1,1,2,2,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1,1]=>[3,1,2,3]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,2]=>[1,2,1,2,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,4,1]=>[2,1,1,2,3]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,5]=>[1,1,1,1,2,3]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,1,1,1,1]=>[5,1,3]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,1,2]=>[1,4,1,3]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,1]=>[2,3,1,3]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,3]=>[1,1,3,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1,1]=>[3,2,1,3]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,2]=>[1,2,2,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,3,1]=>[2,1,2,1,3]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,4]=>[1,1,1,2,1,3]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,4,1,1,1]=>[4,1,1,3]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,1,2]=>[1,3,1,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,2,1]=>[2,2,1,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,3]=>[1,1,2,1,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,5,1,1]=>[3,1,1,1,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,5,2]=>[1,2,1,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,6,1]=>[2,1,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,7]=>[1,1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,2,1,1,1,1,1,1]=>[7,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,1,2]=>[1,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,2,1]=>[2,5,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,3]=>[1,1,5,2]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,2,1,1]=>[3,4,2]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,2]=>[1,2,4,2]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,3,1]=>[2,1,4,2]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,4]=>[1,1,1,4,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,2,1,1,1]=>[4,3,2]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,2]=>[1,3,3,2]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,1]=>[2,2,3,2]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,3]=>[1,1,2,3,2]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,1,1]=>[3,1,3,2]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,2]=>[1,2,1,3,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,4,1]=>[2,1,1,3,2]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,5]=>[1,1,1,1,3,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,1,1,1,1]=>[5,2,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,2]=>[1,4,2,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,1]=>[2,3,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,3]=>[1,1,3,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,1]=>[3,2,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,2]=>[1,2,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,3,1]=>[2,1,2,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,4]=>[1,1,1,2,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,3,1,1,1]=>[4,1,2,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,1,2]=>[1,3,1,2,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,2,1]=>[2,2,1,2,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,3]=>[1,1,2,1,2,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,4,1,1]=>[3,1,1,2,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,4,2]=>[1,2,1,1,2,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,5,1]=>[2,1,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,6]=>[1,1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,3,1,1,1,1,1]=>[6,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,1,2]=>[1,5,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,2,1]=>[2,4,1,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,3]=>[1,1,4,1,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,3,1,2,1,1]=>[3,3,1,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,2,2]=>[1,2,3,1,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,3,1]=>[2,1,3,1,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,4]=>[1,1,1,3,1,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,2,1,1,1]=>[4,2,1,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,1,2]=>[1,3,2,1,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,2,1]=>[2,2,2,1,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,3]=>[1,1,2,2,1,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,3,1,1]=>[3,1,2,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,3,2]=>[1,2,1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,4,1]=>[2,1,1,2,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,5]=>[1,1,1,1,2,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,4,1,1,1,1]=>[5,1,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,1,2]=>[1,4,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,2,1]=>[2,3,1,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,3]=>[1,1,3,1,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,4,2,1,1]=>[3,2,1,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,2,2]=>[1,2,2,1,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,3,1]=>[2,1,2,1,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,4]=>[1,1,1,2,1,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,5,1,1,1]=>[4,1,1,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,1,2]=>[1,3,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,2,1]=>[2,2,1,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,3]=>[1,1,2,1,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,6,1,1]=>[3,1,1,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,6,2]=>[1,2,1,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,7,1]=>[2,1,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,8]=>[1,1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,1,1,1,1,1]=>[8,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [2,1,1,1,1,1,2]=>[1,7,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [2,1,1,1,1,2,1]=>[2,6,1]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,1,1,1,3]=>[1,1,6,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,1,1,2,1,1]=>[3,5,1]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,2,2]=>[1,2,5,1]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,3,1]=>[2,1,5,1]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,4]=>[1,1,1,5,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,2,1,1,1]=>[4,4,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,1,2]=>[1,3,4,1]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,2,1]=>[2,2,4,1]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,3]=>[1,1,2,4,1]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,3,1,1]=>[3,1,4,1]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,3,2]=>[1,2,1,4,1]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,4,1]=>[2,1,1,4,1]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,5]=>[1,1,1,1,4,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,2,1,1,1,1]=>[5,3,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,1,2]=>[1,4,3,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,2,1]=>[2,3,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,3]=>[1,1,3,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,1,1]=>[3,2,3,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,2]=>[1,2,2,3,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,3,1]=>[2,1,2,3,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,4]=>[1,1,1,2,3,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,3,1,1,1]=>[4,1,3,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,1,2]=>[1,3,1,3,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,2,1]=>[2,2,1,3,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,3]=>[1,1,2,1,3,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,4,1,1]=>[3,1,1,3,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,4,2]=>[1,2,1,1,3,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,5,1]=>[2,1,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,6]=>[1,1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,2,1,1,1,1,1]=>[6,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,1,2]=>[1,5,2,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,2,1]=>[2,4,2,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,3]=>[1,1,4,2,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,1,2,1,1]=>[3,3,2,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,2,2]=>[1,2,3,2,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,3,1]=>[2,1,3,2,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,4]=>[1,1,1,3,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,2,1,1,1]=>[4,2,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,1,2]=>[1,3,2,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,2,1]=>[2,2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,3]=>[1,1,2,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,3,1,1]=>[3,1,2,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,3,2]=>[1,2,1,2,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,4,1]=>[2,1,1,2,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,5]=>[1,1,1,1,2,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,3,1,1,1,1]=>[5,1,2,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,1,2]=>[1,4,1,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,2,1]=>[2,3,1,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,3]=>[1,1,3,1,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,3,2,1,1]=>[3,2,1,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,2,2]=>[1,2,2,1,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,3,1]=>[2,1,2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,4]=>[1,1,1,2,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,4,1,1,1]=>[4,1,1,2,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,1,2]=>[1,3,1,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,2,1]=>[2,2,1,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,3]=>[1,1,2,1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,5,1,1]=>[3,1,1,1,2,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,5,2]=>[1,2,1,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,6,1]=>[2,1,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,7]=>[1,1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [3,1,1,1,1,1,1]=>[7,1,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [3,1,1,1,1,2]=>[1,6,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [3,1,1,1,2,1]=>[2,5,1,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [3,1,1,1,3]=>[1,1,5,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [3,1,1,2,1,1]=>[3,4,1,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,2,2]=>[1,2,4,1,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,3,1]=>[2,1,4,1,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,4]=>[1,1,1,4,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,2,1,1,1]=>[4,3,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,1,2]=>[1,3,3,1,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,2,1]=>[2,2,3,1,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,3]=>[1,1,2,3,1,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,3,1,1]=>[3,1,3,1,1]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,3,2]=>[1,2,1,3,1,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,4,1]=>[2,1,1,3,1,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,5]=>[1,1,1,1,3,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,2,1,1,1,1]=>[5,2,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,1,2]=>[1,4,2,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,2,1]=>[2,3,2,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,3]=>[1,1,3,2,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,2,1,1]=>[3,2,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,2,2]=>[1,2,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,3,1]=>[2,1,2,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,4]=>[1,1,1,2,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,3,1,1,1]=>[4,1,2,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,1,2]=>[1,3,1,2,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,2,1]=>[2,2,1,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,3]=>[1,1,2,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,4,1,1]=>[3,1,1,2,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,4,2]=>[1,2,1,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,5,1]=>[2,1,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,6]=>[1,1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [4,1,1,1,1,1]=>[6,1,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] [4,1,1,1,2]=>[1,5,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [4,1,1,2,1]=>[2,4,1,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,1,3]=>[1,1,4,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,2,1,1]=>[3,3,1,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,2,2]=>[1,2,3,1,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,3,1]=>[2,1,3,1,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,4]=>[1,1,1,3,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,2,1,1,1]=>[4,2,1,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,1,2]=>[1,3,2,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,2,1]=>[2,2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,3]=>[1,1,2,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [4,3,1,1]=>[3,1,2,1,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,3,2]=>[1,2,1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,4,1]=>[2,1,1,2,1,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,5]=>[1,1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [5,1,1,1,1]=>[5,1,1,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] [5,1,1,2]=>[1,4,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [5,1,2,1]=>[2,3,1,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [5,1,3]=>[1,1,3,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [5,2,1,1]=>[3,2,1,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,2,2]=>[1,2,2,1,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,3,1]=>[2,1,2,1,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,4]=>[1,1,1,2,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [6,1,1,1]=>[4,1,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [6,1,2]=>[1,3,1,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [6,2,1]=>[2,2,1,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [6,3]=>[1,1,2,1,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [7,1,1]=>[3,1,1,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [7,2]=>[1,2,1,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [8,1]=>[2,1,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [9]=>[1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1,1,1,1,1]=>[10]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,2]=>[1,9]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,2,1]=>[2,8]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,3]=>[1,1,8]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,2,1,1]=>[3,7]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,2,2]=>[1,2,7]=>[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,3,1]=>[2,1,7]=>[1,1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,4]=>[1,1,1,7]=>[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,2,1,1,1]=>[4,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,2,1,2]=>[1,3,6]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,2,2,1]=>[2,2,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,2,3]=>[1,1,2,6]=>[1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,3,1,1]=>[3,1,6]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,3,2]=>[1,2,1,6]=>[1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,4,1]=>[2,1,1,6]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,5]=>[1,1,1,1,6]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,2,1,1,1,1]=>[5,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,1,1,2]=>[1,4,5]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,1,2,1]=>[2,3,5]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,1,3]=>[1,1,3,5]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,2,1,1]=>[3,2,5]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,2,2]=>[1,2,2,5]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,3,1]=>[2,1,2,5]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,4]=>[1,1,1,2,5]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,1,1,1]=>[4,1,5]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,1,2]=>[1,3,1,5]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,2,1]=>[2,2,1,5]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,3]=>[1,1,2,1,5]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,4,1,1]=>[3,1,1,5]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,4,2]=>[1,2,1,1,5]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,5,1]=>[2,1,1,1,5]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,6]=>[1,1,1,1,1,5]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,2,1,1,1,1,1]=>[6,4]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,1,2]=>[1,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,2,1]=>[2,4,4]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,3]=>[1,1,4,4]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,2,1,1]=>[3,3,4]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,2,2]=>[1,2,3,4]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,3,1]=>[2,1,3,4]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,4]=>[1,1,1,3,4]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,1,1,1]=>[4,2,4]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,1,2]=>[1,3,2,4]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,2,1]=>[2,2,2,4]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,3]=>[1,1,2,2,4]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,3,1,1]=>[3,1,2,4]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,3,2]=>[1,2,1,2,4]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,4,1]=>[2,1,1,2,4]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,5]=>[1,1,1,1,2,4]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,1,1,1]=>[5,1,4]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,1,2]=>[1,4,1,4]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,2,1]=>[2,3,1,4]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,3]=>[1,1,3,1,4]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,2,1,1]=>[3,2,1,4]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,2,2]=>[1,2,2,1,4]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,3,1]=>[2,1,2,1,4]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,4]=>[1,1,1,2,1,4]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,1,1,1]=>[4,1,1,4]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,1,2]=>[1,3,1,1,4]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,2,1]=>[2,2,1,1,4]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,3]=>[1,1,2,1,1,4]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,5,1,1]=>[3,1,1,1,4]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,5,2]=>[1,2,1,1,1,4]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,6,1]=>[2,1,1,1,1,4]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,7]=>[1,1,1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,2,1,1,1,1,1,1]=>[7,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,1,1,2]=>[1,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,1,2,1]=>[2,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,1,3]=>[1,1,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,1,1]=>[3,4,3]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,2]=>[1,2,4,3]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,3,1]=>[2,1,4,3]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,4]=>[1,1,1,4,3]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,1,1,1]=>[4,3,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,1,2]=>[1,3,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,2,1]=>[2,2,3,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,3]=>[1,1,2,3,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,3,1,1]=>[3,1,3,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,3,2]=>[1,2,1,3,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,4,1]=>[2,1,1,3,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,5]=>[1,1,1,1,3,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,2,1,1,1,1]=>[5,2,3]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,1,2]=>[1,4,2,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,2,1]=>[2,3,2,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,3]=>[1,1,3,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2,1,1]=>[3,2,2,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2,2]=>[1,2,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,3,1]=>[2,1,2,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,4]=>[1,1,1,2,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1,1,1]=>[4,1,2,3]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1,2]=>[1,3,1,2,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,2,1]=>[2,2,1,2,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,3]=>[1,1,2,1,2,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,4,1,1]=>[3,1,1,2,3]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,4,2]=>[1,2,1,1,2,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,5,1]=>[2,1,1,1,2,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,6]=>[1,1,1,1,1,2,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,3,1,1,1,1,1]=>[6,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,1,1,2]=>[1,5,1,3]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,1,2,1]=>[2,4,1,3]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,1,3]=>[1,1,4,1,3]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,1,1]=>[3,3,1,3]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,2]=>[1,2,3,1,3]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,3,1]=>[2,1,3,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,4]=>[1,1,1,3,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1,1,1]=>[4,2,1,3]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1,2]=>[1,3,2,1,3]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,2,1]=>[2,2,2,1,3]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,3]=>[1,1,2,2,1,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,3,1,1]=>[3,1,2,1,3]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,3,2]=>[1,2,1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,4,1]=>[2,1,1,2,1,3]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,5]=>[1,1,1,1,2,1,3]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,4,1,1,1,1]=>[5,1,1,3]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,1,1,2]=>[1,4,1,1,3]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,1,2,1]=>[2,3,1,1,3]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,1,3]=>[1,1,3,1,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,2,1,1]=>[3,2,1,1,3]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,2,2]=>[1,2,2,1,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,3,1]=>[2,1,2,1,1,3]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,4,4]=>[1,1,1,2,1,1,3]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,5,1,1,1]=>[4,1,1,1,3]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,5,1,2]=>[1,3,1,1,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,5,2,1]=>[2,2,1,1,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,5,3]=>[1,1,2,1,1,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,6,1,1]=>[3,1,1,1,1,3]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,6,2]=>[1,2,1,1,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,7,1]=>[2,1,1,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,8]=>[1,1,1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,2,1,1,1,1,1,1,1]=>[8,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,1,1,2]=>[1,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,1,2,1]=>[2,6,2]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,1,3]=>[1,1,6,2]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,2,1,1]=>[3,5,2]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,2,2]=>[1,2,5,2]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,3,1]=>[2,1,5,2]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,4]=>[1,1,1,5,2]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,2,1,1,1]=>[4,4,2]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,1,2]=>[1,3,4,2]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,2,1]=>[2,2,4,2]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,3]=>[1,1,2,4,2]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,3,1,1]=>[3,1,4,2]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,3,2]=>[1,2,1,4,2]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,4,1]=>[2,1,1,4,2]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,5]=>[1,1,1,1,4,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,2,1,1,1,1]=>[5,3,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,1,2]=>[1,4,3,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,2,1]=>[2,3,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,3]=>[1,1,3,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,1,1]=>[3,2,3,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,2]=>[1,2,2,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,3,1]=>[2,1,2,3,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,4]=>[1,1,1,2,3,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,1,1,1]=>[4,1,3,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,1,2]=>[1,3,1,3,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,2,1]=>[2,2,1,3,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,3]=>[1,1,2,1,3,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,4,1,1]=>[3,1,1,3,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,4,2]=>[1,2,1,1,3,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,5,1]=>[2,1,1,1,3,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,6]=>[1,1,1,1,1,3,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,2,1,1,1,1,1]=>[6,2,2]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,1,2]=>[1,5,2,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,2,1]=>[2,4,2,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,3]=>[1,1,4,2,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,1,1]=>[3,3,2,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,2]=>[1,2,3,2,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,3,1]=>[2,1,3,2,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,4]=>[1,1,1,3,2,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,1,1]=>[4,2,2,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,2]=>[1,3,2,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,2,1]=>[2,2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,3]=>[1,1,2,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,3,1,1]=>[3,1,2,2,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,3,2]=>[1,2,1,2,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,4,1]=>[2,1,1,2,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,5]=>[1,1,1,1,2,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,3,1,1,1,1]=>[5,1,2,2]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,1,1,2]=>[1,4,1,2,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,1,2,1]=>[2,3,1,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,1,3]=>[1,1,3,1,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,2,1,1]=>[3,2,1,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,2,2]=>[1,2,2,1,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,3,1]=>[2,1,2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,3,4]=>[1,1,1,2,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,2,4,1,1,1]=>[4,1,1,2,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,4,1,2]=>[1,3,1,1,2,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,4,2,1]=>[2,2,1,1,2,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,4,3]=>[1,1,2,1,1,2,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,5,1,1]=>[3,1,1,1,2,2]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,5,2]=>[1,2,1,1,1,2,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,6,1]=>[2,1,1,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,7]=>[1,1,1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,3,1,1,1,1,1,1]=>[7,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,1,1,2]=>[1,6,1,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,1,2,1]=>[2,5,1,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,1,3]=>[1,1,5,1,2]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,2,1,1]=>[3,4,1,2]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,2,2]=>[1,2,4,1,2]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,3,1]=>[2,1,4,1,2]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,3,1,1,4]=>[1,1,1,4,1,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,3,1,2,1,1,1]=>[4,3,1,2]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,2,1,2]=>[1,3,3,1,2]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,2,2,1]=>[2,2,3,1,2]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,2,3]=>[1,1,2,3,1,2]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,3,1,1]=>[3,1,3,1,2]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,3,2]=>[1,2,1,3,1,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,4,1]=>[2,1,1,3,1,2]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,1,5]=>[1,1,1,1,3,1,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,3,2,1,1,1,1]=>[5,2,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,1,1,2]=>[1,4,2,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,1,2,1]=>[2,3,2,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,1,3]=>[1,1,3,2,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,2,1,1]=>[3,2,2,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,2,2]=>[1,2,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,3,1]=>[2,1,2,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,4]=>[1,1,1,2,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,3,3,1,1,1]=>[4,1,2,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,3,1,2]=>[1,3,1,2,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,3,2,1]=>[2,2,1,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,3,3]=>[1,1,2,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,4,1,1]=>[3,1,1,2,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,4,2]=>[1,2,1,1,2,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,5,1]=>[2,1,1,1,2,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,6]=>[1,1,1,1,1,2,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,4,1,1,1,1,1]=>[6,1,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,1,1,2]=>[1,5,1,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,1,2,1]=>[2,4,1,1,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,1,3]=>[1,1,4,1,1,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,2,1,1]=>[3,3,1,1,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,2,2]=>[1,2,3,1,1,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,3,1]=>[2,1,3,1,1,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,4,1,4]=>[1,1,1,3,1,1,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,4,2,1,1,1]=>[4,2,1,1,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,2,1,2]=>[1,3,2,1,1,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,2,2,1]=>[2,2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,2,3]=>[1,1,2,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,3,1,1]=>[3,1,2,1,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,3,2]=>[1,2,1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,4,1]=>[2,1,1,2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,5]=>[1,1,1,1,2,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,5,1,1,1,1]=>[5,1,1,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,1,1,2]=>[1,4,1,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,1,2,1]=>[2,3,1,1,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,1,3]=>[1,1,3,1,1,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,2,1,1]=>[3,2,1,1,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,2,2]=>[1,2,2,1,1,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,3,1]=>[2,1,2,1,1,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,5,4]=>[1,1,1,2,1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,6,1,1,1]=>[4,1,1,1,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,6,1,2]=>[1,3,1,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,6,2,1]=>[2,2,1,1,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,6,3]=>[1,1,2,1,1,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,7,1,1]=>[3,1,1,1,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,7,2]=>[1,2,1,1,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,8,1]=>[2,1,1,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,9]=>[1,1,1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [2,1,1,1,1,1,1,1,1]=>[9,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [2,1,1,1,1,1,1,2]=>[1,8,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [2,1,1,1,1,1,2,1]=>[2,7,1]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [2,1,1,1,1,1,3]=>[1,1,7,1]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [2,1,1,1,1,2,1,1]=>[3,6,1]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,1,1,1,2,2]=>[1,2,6,1]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,1,1,1,3,1]=>[2,1,6,1]=>[1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,1,1,1,4]=>[1,1,1,6,1]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,1,1,2,1,1,1]=>[4,5,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,2,1,2]=>[1,3,5,1]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,2,2,1]=>[2,2,5,1]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,2,3]=>[1,1,2,5,1]=>[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,3,1,1]=>[3,1,5,1]=>[1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,3,2]=>[1,2,1,5,1]=>[1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,4,1]=>[2,1,1,5,1]=>[1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,5]=>[1,1,1,1,5,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,2,1,1,1,1]=>[5,4,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,1,1,2]=>[1,4,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,1,2,1]=>[2,3,4,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,1,3]=>[1,1,3,4,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,2,1,1]=>[3,2,4,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,2,2]=>[1,2,2,4,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,3,1]=>[2,1,2,4,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,4]=>[1,1,1,2,4,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,3,1,1,1]=>[4,1,4,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,3,1,2]=>[1,3,1,4,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,3,2,1]=>[2,2,1,4,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,3,3]=>[1,1,2,1,4,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,4,1,1]=>[3,1,1,4,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,4,2]=>[1,2,1,1,4,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,5,1]=>[2,1,1,1,4,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,6]=>[1,1,1,1,1,4,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [2,1,2,1,1,1,1,1]=>[6,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,1,1,2]=>[1,5,3,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,1,2,1]=>[2,4,3,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,1,3]=>[1,1,4,3,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,2,1,1]=>[3,3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,2,2]=>[1,2,3,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,3,1]=>[2,1,3,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,4]=>[1,1,1,3,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,1,1,1]=>[4,2,3,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,1,2]=>[1,3,2,3,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,2,1]=>[2,2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,3]=>[1,1,2,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,3,1,1]=>[3,1,2,3,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,3,2]=>[1,2,1,2,3,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,4,1]=>[2,1,1,2,3,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,5]=>[1,1,1,1,2,3,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,3,1,1,1,1]=>[5,1,3,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,1,1,2]=>[1,4,1,3,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,1,2,1]=>[2,3,1,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,1,3]=>[1,1,3,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,2,1,1]=>[3,2,1,3,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,2,2]=>[1,2,2,1,3,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,3,1]=>[2,1,2,1,3,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,3,4]=>[1,1,1,2,1,3,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] [2,1,4,1,1,1]=>[4,1,1,3,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,4,1,2]=>[1,3,1,1,3,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,4,2,1]=>[2,2,1,1,3,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,4,3]=>[1,1,2,1,1,3,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,5,1,1]=>[3,1,1,1,3,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,5,2]=>[1,2,1,1,1,3,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,6,1]=>[2,1,1,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,1,7]=>[1,1,1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [2,2,1,1,1,1,1,1]=>[7,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,1,1,2]=>[1,6,2,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,1,2,1]=>[2,5,2,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,1,3]=>[1,1,5,2,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,2,1,1]=>[3,4,2,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,2,2]=>[1,2,4,2,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,3,1]=>[2,1,4,2,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,4]=>[1,1,1,4,2,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,1,2,1,1,1]=>[4,3,2,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,2,1,2]=>[1,3,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,2,2,1]=>[2,2,3,2,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,2,3]=>[1,1,2,3,2,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,3,1,1]=>[3,1,3,2,1]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,3,2]=>[1,2,1,3,2,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,4,1]=>[2,1,1,3,2,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,5]=>[1,1,1,1,3,2,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,2,1,1,1,1]=>[5,2,2,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,1,1,2]=>[1,4,2,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,1,2,1]=>[2,3,2,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,1,3]=>[1,1,3,2,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,2,1,1]=>[3,2,2,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,2,2]=>[1,2,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,3,1]=>[2,1,2,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,4]=>[1,1,1,2,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,3,1,1,1]=>[4,1,2,2,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,3,1,2]=>[1,3,1,2,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,3,2,1]=>[2,2,1,2,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,3,3]=>[1,1,2,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,4,1,1]=>[3,1,1,2,2,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,4,2]=>[1,2,1,1,2,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,5,1]=>[2,1,1,1,2,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,2,6]=>[1,1,1,1,1,2,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [2,3,1,1,1,1,1]=>[6,1,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,1,1,2]=>[1,5,1,2,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,1,2,1]=>[2,4,1,2,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,1,3]=>[1,1,4,1,2,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,2,1,1]=>[3,3,1,2,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,2,2]=>[1,2,3,1,2,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,3,1]=>[2,1,3,1,2,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,3,1,4]=>[1,1,1,3,1,2,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [2,3,2,1,1,1]=>[4,2,1,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,2,1,2]=>[1,3,2,1,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,2,2,1]=>[2,2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,2,3]=>[1,1,2,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,3,1,1]=>[3,1,2,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,3,2]=>[1,2,1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,4,1]=>[2,1,1,2,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,3,5]=>[1,1,1,1,2,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] [2,4,1,1,1,1]=>[5,1,1,2,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,1,1,2]=>[1,4,1,1,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,1,2,1]=>[2,3,1,1,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,1,3]=>[1,1,3,1,1,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,2,1,1]=>[3,2,1,1,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,2,2]=>[1,2,2,1,1,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,3,1]=>[2,1,2,1,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,4,4]=>[1,1,1,2,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [2,5,1,1,1]=>[4,1,1,1,2,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,5,1,2]=>[1,3,1,1,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,5,2,1]=>[2,2,1,1,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,5,3]=>[1,1,2,1,1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,6,1,1]=>[3,1,1,1,1,2,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,6,2]=>[1,2,1,1,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,7,1]=>[2,1,1,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [2,8]=>[1,1,1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [3,1,1,1,1,1,1,1]=>[8,1,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] [3,1,1,1,1,1,2]=>[1,7,1,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [3,1,1,1,1,2,1]=>[2,6,1,1]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [3,1,1,1,1,3]=>[1,1,6,1,1]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [3,1,1,1,2,1,1]=>[3,5,1,1]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [3,1,1,1,2,2]=>[1,2,5,1,1]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [3,1,1,1,3,1]=>[2,1,5,1,1]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [3,1,1,1,4]=>[1,1,1,5,1,1]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [3,1,1,2,1,1,1]=>[4,4,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,2,1,2]=>[1,3,4,1,1]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,2,2,1]=>[2,2,4,1,1]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,2,3]=>[1,1,2,4,1,1]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,3,1,1]=>[3,1,4,1,1]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,3,2]=>[1,2,1,4,1,1]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,4,1]=>[2,1,1,4,1,1]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,1,5]=>[1,1,1,1,4,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [3,1,2,1,1,1,1]=>[5,3,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,1,1,2]=>[1,4,3,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,1,2,1]=>[2,3,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,1,3]=>[1,1,3,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,2,1,1]=>[3,2,3,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,2,2]=>[1,2,2,3,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,3,1]=>[2,1,2,3,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,2,4]=>[1,1,1,2,3,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [3,1,3,1,1,1]=>[4,1,3,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,3,1,2]=>[1,3,1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,3,2,1]=>[2,2,1,3,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,3,3]=>[1,1,2,1,3,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,4,1,1]=>[3,1,1,3,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,4,2]=>[1,2,1,1,3,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,5,1]=>[2,1,1,1,3,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,1,6]=>[1,1,1,1,1,3,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [3,2,1,1,1,1,1]=>[6,2,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,1,1,2]=>[1,5,2,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,1,2,1]=>[2,4,2,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,1,3]=>[1,1,4,2,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,2,1,1]=>[3,3,2,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,2,2]=>[1,2,3,2,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,3,1]=>[2,1,3,2,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,1,4]=>[1,1,1,3,2,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [3,2,2,1,1,1]=>[4,2,2,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,2,1,2]=>[1,3,2,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,2,2,1]=>[2,2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,2,3]=>[1,1,2,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,3,1,1]=>[3,1,2,2,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,3,2]=>[1,2,1,2,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,4,1]=>[2,1,1,2,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,5]=>[1,1,1,1,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,3,1,1,1,1]=>[5,1,2,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,1,1,2]=>[1,4,1,2,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,1,2,1]=>[2,3,1,2,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,1,3]=>[1,1,3,1,2,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,2,1,1]=>[3,2,1,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,2,2]=>[1,2,2,1,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,3,1]=>[2,1,2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,3,4]=>[1,1,1,2,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,4,1,1,1]=>[4,1,1,2,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,4,1,2]=>[1,3,1,1,2,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,4,2,1]=>[2,2,1,1,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,4,3]=>[1,1,2,1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,5,1,1]=>[3,1,1,1,2,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,5,2]=>[1,2,1,1,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,6,1]=>[2,1,1,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,7]=>[1,1,1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [4,1,1,1,1,1,1]=>[7,1,1,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] [4,1,1,1,1,2]=>[1,6,1,1,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] [4,1,1,1,2,1]=>[2,5,1,1,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [4,1,1,1,3]=>[1,1,5,1,1,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [4,1,1,2,1,1]=>[3,4,1,1,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,1,2,2]=>[1,2,4,1,1,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,1,3,1]=>[2,1,4,1,1,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,1,4]=>[1,1,1,4,1,1,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [4,1,2,1,1,1]=>[4,3,1,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,2,1,2]=>[1,3,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,2,2,1]=>[2,2,3,1,1,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,2,3]=>[1,1,2,3,1,1,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,3,1,1]=>[3,1,3,1,1,1]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,3,2]=>[1,2,1,3,1,1,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,4,1]=>[2,1,1,3,1,1,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,1,5]=>[1,1,1,1,3,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] [4,2,1,1,1,1]=>[5,2,1,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,1,1,2]=>[1,4,2,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,1,2,1]=>[2,3,2,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,1,3]=>[1,1,3,2,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,2,1,1]=>[3,2,2,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,2,2]=>[1,2,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,3,1]=>[2,1,2,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [4,2,4]=>[1,1,1,2,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [4,3,1,1,1]=>[4,1,2,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,3,1,2]=>[1,3,1,2,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,3,2,1]=>[2,2,1,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,3,3]=>[1,1,2,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,4,1,1]=>[3,1,1,2,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,4,2]=>[1,2,1,1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,5,1]=>[2,1,1,1,2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [4,6]=>[1,1,1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [5,1,1,1,1,1]=>[6,1,1,1,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] [5,1,1,1,2]=>[1,5,1,1,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] [5,1,1,2,1]=>[2,4,1,1,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [5,1,1,3]=>[1,1,4,1,1,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [5,1,2,1,1]=>[3,3,1,1,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [5,1,2,2]=>[1,2,3,1,1,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [5,1,3,1]=>[2,1,3,1,1,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [5,1,4]=>[1,1,1,3,1,1,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [5,2,1,1,1]=>[4,2,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,2,1,2]=>[1,3,2,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,2,2,1]=>[2,2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,2,3]=>[1,1,2,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,3,1,1]=>[3,1,2,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,3,2]=>[1,2,1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,4,1]=>[2,1,1,2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,5]=>[1,1,1,1,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [6,1,1,1,1]=>[5,1,1,1,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [6,1,1,2]=>[1,4,1,1,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [6,1,2,1]=>[2,3,1,1,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [6,1,3]=>[1,1,3,1,1,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [6,2,1,1]=>[3,2,1,1,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [6,2,2]=>[1,2,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [6,3,1]=>[2,1,2,1,1,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [6,4]=>[1,1,1,2,1,1,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [7,1,1,1]=>[4,1,1,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [7,1,2]=>[1,3,1,1,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [7,2,1]=>[2,2,1,1,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [7,3]=>[1,1,2,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [8,1,1]=>[3,1,1,1,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [8,2]=>[1,2,1,1,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [9,1]=>[2,1,1,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [10]=>[1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,10]=>[1,1,1,1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,2,2,1,1,1,1]=>[5,2,5]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,1,1,2,1,1]=>[3,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,1,1,1,1,2]=>[1,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,2,2,1,1,2,2]=>[1,2,4,2,3]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2,2,1,1]=>[3,2,2,2,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2,1,1,2]=>[1,4,2,2,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,1,1,1,1]=>[5,4,3]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,2,2]=>[1,2,2,4,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,1,1,2,1,1]=>[3,6,3]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,2,1,2]=>[1,3,2,3,3]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [2,2,1,1,2,2,1,1]=>[3,2,4,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,1,1,2,1,1,2]=>[1,4,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,2,2,2,2,2]=>[1,2,2,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,1,1,2,1,1]=>[3,4,2,2,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,1,1,2,1,1,2,2]=>[1,2,4,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,2,2,1,1]=>[3,2,2,4,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,2,1,1,2]=>[1,4,2,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,1,1,2,1,1,1,1]=>[5,6,1]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [2,1,2,2,1,2,1,1]=>[3,3,2,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,1,2,1,2]=>[1,3,4,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [1,2,2,2,2,2,1]=>[2,2,2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,4,3]=>[1,1,2,1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,4,4,1]=>[2,1,1,2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,2,4,2,3]=>[1,1,2,2,1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,3,4,3,1]=>[2,1,2,1,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,3,2,3,3]=>[1,1,2,1,2,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,4,4,2,1]=>[2,2,1,1,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,2,4,1]=>[2,1,1,2,2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,4,2,2,3]=>[1,1,2,2,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,6,5]=>[1,1,1,1,2,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [3,4,2,2,1]=>[2,2,2,1,1,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,6,3]=>[1,1,2,1,1,1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [3,3,2,3,1]=>[2,1,2,2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [3,2,4,2,1]=>[2,2,1,1,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,2,4,1]=>[2,1,1,2,2,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,2,2,2,3]=>[1,1,2,2,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [3,4,5]=>[1,1,1,1,2,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [5,6,1]=>[2,1,1,1,1,2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,4,3]=>[1,1,2,1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [5,2,5]=>[1,1,1,1,2,2,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,8,2]=>[1,2,1,1,1,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,7,1,2]=>[1,3,1,1,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,6,1,1,2]=>[1,4,1,1,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,5,1,1,1,2]=>[1,5,1,1,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,4,1,1,1,1,2]=>[1,6,1,1,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0] [1,3,1,1,1,1,1,2]=>[1,7,1,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0] [1,2,1,1,1,1,1,1,2]=>[1,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] [1,1,1,1,1,1,1,1,1,2]=>[1,10]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,11]=>[1,1,1,1,1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,9,2]=>[1,2,1,1,1,1,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,7,3]=>[1,1,2,1,1,1,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,8,1,2]=>[1,3,1,1,1,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,6,2,2]=>[1,2,2,1,1,1,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,7,1,1,2]=>[1,4,1,1,1,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,5,2,1,2]=>[1,3,2,1,1,1,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,6,1,1,1,2]=>[1,5,1,1,1,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,4,2,1,1,2]=>[1,4,2,1,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,5,1,1,1,1,2]=>[1,6,1,1,1,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,3,2,1,1,1,2]=>[1,5,2,1,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,4,1,1,1,1,1,2]=>[1,7,1,1,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0] [1,2,2,1,1,1,1,2]=>[1,6,2,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0] [1,3,1,1,1,1,1,1,2]=>[1,8,1,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0] [1,1,2,1,1,1,1,1,2]=>[1,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0] [1,2,1,1,1,1,1,1,1,2]=>[1,9,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0] [1,1,1,1,1,1,1,1,1,1,2]=>[1,11]=>[1,0,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [1,2,2,2,2,2]=>[1,2,2,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,3]=>[1,1,3,2,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,3,2]=>[1,2,1,3,2,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,3]=>[1,1,2,3,2,2]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,4]=>[1,1,1,4,2,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,1,3,2,2]=>[1,2,2,1,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,1,3]=>[1,1,3,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,3,2]=>[1,2,1,2,3,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,3]=>[1,1,2,2,3,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,4]=>[1,1,1,3,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,1,4,2]=>[1,2,1,1,4,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,3,3]=>[1,1,2,1,4,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,4]=>[1,1,1,2,4,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,1,5]=>[1,1,1,1,5,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,3,2,2,2]=>[1,2,2,2,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1,3]=>[1,1,3,2,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,3,2]=>[1,2,1,3,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,3]=>[1,1,2,3,1,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,1,4]=>[1,1,1,4,1,3]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,2,3,2,2]=>[1,2,2,1,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1,3]=>[1,1,3,1,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,3,2]=>[1,2,1,2,2,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2,3]=>[1,1,2,2,2,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,4]=>[1,1,1,3,2,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,1,4,2]=>[1,2,1,1,3,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,3,3]=>[1,1,2,1,3,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,4]=>[1,1,1,2,3,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,5]=>[1,1,1,1,4,3]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,1,4,2,2]=>[1,2,2,1,1,4]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,1,3]=>[1,1,3,1,1,4]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,3,2]=>[1,2,1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,2,3]=>[1,1,2,2,1,4]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,4]=>[1,1,1,3,1,4]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,2,4,2]=>[1,2,1,1,2,4]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,3,3]=>[1,1,2,1,2,4]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,4]=>[1,1,1,2,2,4]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,5]=>[1,1,1,1,3,4]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,1,5,2]=>[1,2,1,1,1,5]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,4,3]=>[1,1,2,1,1,5]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,4]=>[1,1,1,2,1,5]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,5]=>[1,1,1,1,2,5]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,1,6]=>[1,1,1,1,1,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,2,2,2,2,2,2]=>[1,2,2,2,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,2,1,3]=>[1,1,3,2,2,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,3,2]=>[1,2,1,3,2,2,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,2,3]=>[1,1,2,3,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,1,4]=>[1,1,1,4,2,2,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,3,2,2]=>[1,2,2,1,3,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,3,1,3]=>[1,1,3,1,3,2,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,3,2]=>[1,2,1,2,3,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,2,3]=>[1,1,2,2,3,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,1,4]=>[1,1,1,3,3,2,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,4,2]=>[1,2,1,1,4,2,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,3,3]=>[1,1,2,1,4,2,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,2,4]=>[1,1,1,2,4,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,1,5]=>[1,1,1,1,5,2,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,1,3,2,2,2]=>[1,2,2,2,1,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,2,1,3]=>[1,1,3,2,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,1,3,2]=>[1,2,1,3,1,3,2]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,1,2,3]=>[1,1,2,3,1,3,2]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,3,1,1,4]=>[1,1,1,4,1,3,2]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,3,2,2]=>[1,2,2,1,2,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,3,1,3]=>[1,1,3,1,2,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,3,2]=>[1,2,1,2,2,3,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,2,3]=>[1,1,2,2,2,3,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,1,4]=>[1,1,1,3,2,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,4,2]=>[1,2,1,1,3,3,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,3,3]=>[1,1,2,1,3,3,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,2,4]=>[1,1,1,2,3,3,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,1,5]=>[1,1,1,1,4,3,2]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,1,4,2,2]=>[1,2,2,1,1,4,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,4,1,3]=>[1,1,3,1,1,4,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,3,3,2]=>[1,2,1,2,1,4,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,3,2,3]=>[1,1,2,2,1,4,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,3,1,4]=>[1,1,1,3,1,4,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,4,2]=>[1,2,1,1,2,4,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,3,3]=>[1,1,2,1,2,4,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,2,4]=>[1,1,1,2,2,4,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,1,5]=>[1,1,1,1,3,4,2]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,1,5,2]=>[1,2,1,1,1,5,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,4,3]=>[1,1,2,1,1,5,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,3,4]=>[1,1,1,2,1,5,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,2,5]=>[1,1,1,1,2,5,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,1,6]=>[1,1,1,1,1,6,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,1,3,2,2,2,2]=>[1,2,2,2,2,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,2,1,3]=>[1,1,3,2,2,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1,3,2]=>[1,2,1,3,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1,2,3]=>[1,1,2,3,2,1,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,2,1,1,4]=>[1,1,1,4,2,1,3]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,3,2,2]=>[1,2,2,1,3,1,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,3,1,3]=>[1,1,3,1,3,1,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,3,2]=>[1,2,1,2,3,1,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,2,3]=>[1,1,2,2,3,1,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,2,1,4]=>[1,1,1,3,3,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,1,4,2]=>[1,2,1,1,4,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,1,3,3]=>[1,1,2,1,4,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,1,2,4]=>[1,1,1,2,4,1,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,3,1,1,1,5]=>[1,1,1,1,5,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,2,3,2,2,2]=>[1,2,2,2,1,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,2,1,3]=>[1,1,3,2,1,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1,3,2]=>[1,2,1,3,1,2,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1,2,3]=>[1,1,2,3,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,3,1,1,4]=>[1,1,1,4,1,2,3]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,3,2,2]=>[1,2,2,1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,3,1,3]=>[1,1,3,1,2,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2,3,2]=>[1,2,1,2,2,2,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2,2,3]=>[1,1,2,2,2,2,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,2,1,4]=>[1,1,1,3,2,2,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,4,2]=>[1,2,1,1,3,2,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,3,3]=>[1,1,2,1,3,2,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,2,4]=>[1,1,1,2,3,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,1,5]=>[1,1,1,1,4,2,3]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,1,4,2,2]=>[1,2,2,1,1,3,3]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,4,1,3]=>[1,1,3,1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,3,3,2]=>[1,2,1,2,1,3,3]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,3,2,3]=>[1,1,2,2,1,3,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,3,1,4]=>[1,1,1,3,1,3,3]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,4,2]=>[1,2,1,1,2,3,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,3,3]=>[1,1,2,1,2,3,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,2,4]=>[1,1,1,2,2,3,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,1,5]=>[1,1,1,1,3,3,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,5,2]=>[1,2,1,1,1,4,3]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,4,3]=>[1,1,2,1,1,4,3]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,3,4]=>[1,1,1,2,1,4,3]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,5]=>[1,1,1,1,2,4,3]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,1,6]=>[1,1,1,1,1,5,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,1,4,2,2,2]=>[1,2,2,2,1,1,4]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,2,1,3]=>[1,1,3,2,1,1,4]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,1,3,2]=>[1,2,1,3,1,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,1,2,3]=>[1,1,2,3,1,1,4]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,4,1,1,4]=>[1,1,1,4,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,3,2,2]=>[1,2,2,1,2,1,4]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,3,1,3]=>[1,1,3,1,2,1,4]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,2,3,2]=>[1,2,1,2,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,2,2,3]=>[1,1,2,2,2,1,4]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,2,1,4]=>[1,1,1,3,2,1,4]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,4,2]=>[1,2,1,1,3,1,4]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,3,3]=>[1,1,2,1,3,1,4]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,2,4]=>[1,1,1,2,3,1,4]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,3,1,1,5]=>[1,1,1,1,4,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,2,4,2,2]=>[1,2,2,1,1,2,4]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,4,1,3]=>[1,1,3,1,1,2,4]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,3,3,2]=>[1,2,1,2,1,2,4]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,3,2,3]=>[1,1,2,2,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,3,1,4]=>[1,1,1,3,1,2,4]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,4,2]=>[1,2,1,1,2,2,4]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,3,3]=>[1,1,2,1,2,2,4]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,2,4]=>[1,1,1,2,2,2,4]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,1,5]=>[1,1,1,1,3,2,4]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,5,2]=>[1,2,1,1,1,3,4]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,4,3]=>[1,1,2,1,1,3,4]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,3,4]=>[1,1,1,2,1,3,4]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,2,5]=>[1,1,1,1,2,3,4]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,6]=>[1,1,1,1,1,4,4]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,1,5,2,2]=>[1,2,2,1,1,1,5]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,5,1,3]=>[1,1,3,1,1,1,5]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,4,3,2]=>[1,2,1,2,1,1,5]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,4,2,3]=>[1,1,2,2,1,1,5]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,4,1,4]=>[1,1,1,3,1,1,5]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,4,2]=>[1,2,1,1,2,1,5]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,3,3]=>[1,1,2,1,2,1,5]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,2,4]=>[1,1,1,2,2,1,5]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,3,1,5]=>[1,1,1,1,3,1,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,5,2]=>[1,2,1,1,1,2,5]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,4,3]=>[1,1,2,1,1,2,5]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,3,4]=>[1,1,1,2,1,2,5]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,2,5]=>[1,1,1,1,2,2,5]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,1,6]=>[1,1,1,1,1,3,5]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,1,6,2]=>[1,2,1,1,1,1,6]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,5,3]=>[1,1,2,1,1,1,6]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,4,4]=>[1,1,1,2,1,1,6]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,3,5]=>[1,1,1,1,2,1,6]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,2,6]=>[1,1,1,1,1,2,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,1,7]=>[1,1,1,1,1,1,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [12]=>[1,1,1,1,1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [3,2,7]=>[1,1,1,1,1,1,2,2,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [7,2,3]=>[1,1,2,2,1,1,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,2,1,2,2,3]=>[1,1,2,2,3,3]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,8,3]=>[1,1,2,1,1,1,1,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,2,5,3]=>[1,1,2,1,1,1,2,3]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [3,1,2,3,3]=>[1,1,2,1,2,3,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,1,4,3,3]=>[1,1,2,1,2,1,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,2,1,3,3]=>[1,1,2,1,3,4]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,3,2,1,3]=>[1,1,3,2,1,2,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [1,5,2,1,3]=>[1,1,3,2,1,1,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,1,2,2,2,1,3]=>[1,1,3,2,2,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,3,1,2,1,1,3]=>[1,1,4,3,1,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,1,1,4,1,1,3]=>[1,1,4,1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [9,2,1]=>[2,2,1,1,1,1,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [5,2,2,2,1]=>[2,2,2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,1,2,3,2,2,1]=>[2,2,2,1,2,3]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] [3,1,2,1,2,2,1]=>[2,2,3,3,1,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0] [1,3,2,1,2,2,1]=>[2,2,3,2,1,2]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,1,1,2,1,1,2,2,1]=>[2,2,4,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,2,1,2,4,1]=>[2,1,1,2,3,3]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,10,1]=>[2,1,1,1,1,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [3,1,2,5,1]=>[2,1,1,1,2,3,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,1,4,5,1]=>[2,1,1,1,2,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,2,2,1,2,3,1]=>[2,1,2,3,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,2,2,2,3,1]=>[2,1,2,2,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,2,3,3,1]=>[2,1,2,1,2,4]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [3,1,1,2,1,3,1]=>[2,1,3,4,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,1,3,2,1,3,1]=>[2,1,3,2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,1,1,2,1,1,3,1]=>[2,1,4,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,2,4,1,2,1,1]=>[3,3,1,1,2,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [3,2,2,1,2,1,1]=>[3,3,2,2,1,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,4,2,1,2,1,1]=>[3,3,2,1,1,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,1,2,1,2,1,2,1,1]=>[3,3,3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [5,3,2,1,1]=>[3,2,1,2,1,1,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,2,2,3,2,1,1]=>[3,2,1,2,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [3,5,2,1,1]=>[3,2,1,1,1,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,2,4,2,1,1]=>[3,2,1,1,2,3]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [3,1,2,2,2,1,1]=>[3,2,2,3,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,3,2,2,2,1,1]=>[3,2,2,2,1,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,1,1,2,1,2,2,1,1]=>[3,2,3,4]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [3,3,4,1,1]=>[3,1,1,2,1,2,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [1,5,4,1,1]=>[3,1,1,2,1,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] [3,1,1,2,3,1,1]=>[3,1,2,4,1,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,3,1,2,3,1,1]=>[3,1,2,3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,1,1,4,3,1,1]=>[3,1,2,1,1,4]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [5,1,1,2,1,1,1]=>[4,4,1,1,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [1,2,2,1,1,2,1,1,1]=>[4,4,2,2]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [3,3,1,2,1,1,1]=>[4,3,1,2,1,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0] [1,5,1,2,1,1,1]=>[4,3,1,1,1,2]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] [1,1,2,2,1,2,1,1,1]=>[4,3,2,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [3,1,3,2,1,1,1]=>[4,2,1,3,1,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,3,3,2,1,1,1]=>[4,2,1,2,1,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,1,1,2,2,2,1,1,1]=>[4,2,2,4]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [3,1,1,4,1,1,1]=>[4,1,1,4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,3,1,4,1,1,1]=>[4,1,1,3,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,1,3,4,1,1,1]=>[4,1,1,2,1,3]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,1,1,2,3,1,1,1]=>[4,1,2,5]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,3,1,1,2,1,1,1,1]=>[5,4,1,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,1,1,3,2,1,1,1,1]=>[5,2,1,4]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,1,1,2,1,1,1,1,1]=>[6,6]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [2,2,2,2,1,2,1]=>[2,3,2,2,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,1,2,1,2]=>[1,3,3,2,2,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,2,1,2,2,1]=>[2,2,3,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [2,2,1,2,1,2,2]=>[1,2,3,3,2,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,2,1,1,2,1]=>[2,4,3,2,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,2,2,1,2]=>[1,3,2,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,2,2,2,1]=>[2,2,2,3,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,1,2,1,2,1]=>[2,3,4,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [2,1,2,1,2,2,2]=>[1,2,2,3,3,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,2,1,2,1]=>[2,3,3,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,1,2,2,1]=>[2,2,4,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,1,2,2]=>[1,2,3,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,1,1,2,1]=>[2,4,2,3,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,2,1,2]=>[1,3,2,2,3,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,2,2,2,2,1]=>[2,2,2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] [2,1,1,2,2,1,2,1]=>[2,3,2,4,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,1,2,1,2]=>[1,3,3,4,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,1,2,2,1]=>[2,2,3,4,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [1,2,1,2,2,2,2]=>[1,2,2,2,3,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,1,2,1]=>[2,3,2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,2,1,2]=>[1,3,3,3,2]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,2,2,1]=>[2,2,3,3,2]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,1,2,2]=>[1,2,4,3,2]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,1,2,1,2,2]=>[1,2,3,4,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,1,1,2,1]=>[2,4,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,2,1,2]=>[1,3,2,4,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,2,2,1]=>[2,2,2,4,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,1,2,1,2,1]=>[2,3,5,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,2,1,2,2,2]=>[1,2,2,3,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,1,2,1]=>[2,3,3,2,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,2,1,2]=>[1,3,4,2,2]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,1,2,2,1]=>[2,2,4,2,2]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,2,2]=>[1,2,3,2,2,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,1,2,1]=>[2,4,2,2,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,2,1,2]=>[1,3,2,2,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,2,2,2,1,2,1]=>[2,3,2,2,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,2,1,2]=>[1,3,3,2,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,2,2,1]=>[2,2,3,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,1,2,1,2,2]=>[1,2,3,3,3]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,1,1,2,1]=>[2,4,3,3]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,2,2,1]=>[2,2,2,3,3]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,1,2,1]=>[2,3,4,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,1,2,2,1]=>[2,2,5,3]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,1,2,2,1,1,2,1]=>[2,4,2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,2,1,2,1]=>[2,3,3,4]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [2,1,1,1,1,1,1,1,1,1]=>[10,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [2,2,1,2,1,2,1,1]=>[3,3,3,2,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0] [2,2,1,1,1,2,1,1,1]=>[4,5,2,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0] [2,1,2,1,1,1,2,1,1]=>[3,5,3,1]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,2,1,1,2]=>[1,4,3,3,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,2,2,1,1]=>[3,2,3,3,1]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [2,1,2,1,1,2,1,1,1]=>[4,4,3,1]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [2,1,1,2,1,1,1,2,1]=>[2,5,4,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,1,1,2,1,1]=>[3,4,4,1]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,2,1,2,1,1,1]=>[4,3,4,1]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0] [2,1,1,1,2,1,1,1,2]=>[1,5,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,2,1,1,2,1]=>[2,4,5,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,2,1,2,1,1]=>[3,3,5,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [2,1,1,1,2,2,1,1,1]=>[4,2,5,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,2,1,2,1,1,2,1,1]=>[3,4,3,2]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,1,2,1,2,1,1]=>[3,3,4,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,1,2,1,1,2]=>[1,4,5,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,2,2,1,1]=>[3,2,5,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,2,1,1,1,1,2,1,1,1]=>[4,6,2]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,2,2,1,1,1,2,1,1]=>[3,5,2,2]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,2,1,2,1,1]=>[3,3,2,2,2]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,1,1,2]=>[1,4,3,2,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,2,1,2,2,1,1]=>[3,2,3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,2,1,2,1,1,1,2,1]=>[2,5,3,2]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,1,1,2]=>[1,4,2,3,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,2,2,1,1]=>[3,2,2,3,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,2,1,2,1,1,1]=>[4,3,3,2]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,2,1,1,2,1,1,1,2]=>[1,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,2,2,1,1,1]=>[4,2,4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,2,1,1,1,2,1,1,1,1]=>[5,5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,2,1,1,1,2,1,2]=>[1,3,5,3]=>[1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,1,1,2]=>[1,4,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,2,2,1,1]=>[3,2,4,3]=>[1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,2,1,1,1,2,1,1,1]=>[4,5,3]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] [1,1,2,2,1,1,1,2,1]=>[2,5,2,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,2,1,1,2,1,1]=>[3,4,2,3]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,2,1,2,1,1,1,2]=>[1,5,3,3]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,2,1,2,2,1,1,1]=>[4,2,3,3]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,2,1,1,1,2,2]=>[1,2,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,1,1,2,1]=>[2,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,2,1,2]=>[1,3,4,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,1,2,1,1]=>[3,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,2,1,1,2]=>[1,4,3,4]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,1,2,1,1,1]=>[4,4,4]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,1,1,1,2]=>[1,5,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,2,1,2,1,1]=>[3,3,2,4]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,2,1,2,1,1,1,1]=>[5,3,4]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,1,2,1,1,1,2,1]=>[2,5,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,2,1,2,1,1,1]=>[4,3,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [2,1,1,1,1,1,2,2]=>[1,2,7,1]=>[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [2,2,1,1,1,1,1,2]=>[1,7,2,1]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0] [3,1,1,1,1,1,1,2]=>[1,8,1,1]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]