=>

[1,0]=>[1]=>[1]=>[1] [1,0,1,0]=>[1,2]=>[2]=>[2] [1,1,0,0]=>[2,1]=>[1,1]=>[1,1] [1,0,1,0,1,0]=>[1,2,3]=>[3]=>[3] [1,0,1,1,0,0]=>[1,3,2]=>[2,1]=>[1,2] [1,1,0,0,1,0]=>[2,1,3]=>[1,2]=>[2,1] [1,1,0,1,0,0]=>[2,3,1]=>[2,1]=>[1,2] [1,1,1,0,0,0]=>[3,2,1]=>[1,1,1]=>[1,1,1] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[4]=>[4] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[3,1]=>[1,3] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[2,2]=>[2,2] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[3,1]=>[1,3] [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[2,1,1]=>[1,1,2] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[1,3]=>[3,1] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[1,2,1]=>[1,2,1] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[2,2]=>[2,2] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[3,1]=>[1,3] [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[2,1,1]=>[1,1,2] [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[1,1,2]=>[2,1,1] [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[1,2,1]=>[1,2,1] [1,1,1,0,1,0,0,0]=>[3,4,2,1]=>[2,1,1]=>[1,1,2] [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[1,1,1,1]=>[1,1,1,1] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[5]=>[5] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[4,1]=>[1,4] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[3,2]=>[2,3] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[4,1]=>[1,4] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[3,1,1]=>[1,1,3] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[2,3]=>[3,2] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[2,2,1]=>[1,2,2] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[3,2]=>[2,3] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[4,1]=>[1,4] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[3,1,1]=>[1,1,3] [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[2,1,2]=>[2,1,2] [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[2,2,1]=>[1,2,2] [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,3,2]=>[3,1,1]=>[1,1,3] [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[2,1,1,1]=>[1,1,1,2] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[1,4]=>[4,1] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[1,3,1]=>[1,3,1] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[1,2,2]=>[2,2,1] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[1,3,1]=>[1,3,1] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[1,2,1,1]=>[1,1,2,1] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[2,3]=>[3,2] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[2,2,1]=>[1,2,2] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[3,2]=>[2,3] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[4,1]=>[1,4] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[3,1,1]=>[1,1,3] [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[2,1,2]=>[2,1,2] [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[2,2,1]=>[1,2,2] [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,3,1]=>[3,1,1]=>[1,1,3] [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[2,1,1,1]=>[1,1,1,2] [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[1,1,3]=>[3,1,1] [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[1,1,2,1]=>[1,2,1,1] [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[1,2,2]=>[2,2,1] [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[1,3,1]=>[1,3,1] [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[1,2,1,1]=>[1,1,2,1] [1,1,1,0,1,0,0,0,1,0]=>[3,4,2,1,5]=>[2,1,2]=>[2,1,2] [1,1,1,0,1,0,0,1,0,0]=>[3,4,2,5,1]=>[2,2,1]=>[1,2,2] [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,2,1]=>[3,1,1]=>[1,1,3] [1,1,1,0,1,1,0,0,0,0]=>[3,5,4,2,1]=>[2,1,1,1]=>[1,1,1,2] [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[1,1,1,2]=>[2,1,1,1] [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[1,1,2,1]=>[1,2,1,1] [1,1,1,1,0,0,1,0,0,0]=>[4,3,5,2,1]=>[1,2,1,1]=>[1,1,2,1] [1,1,1,1,0,1,0,0,0,0]=>[4,5,3,2,1]=>[2,1,1,1]=>[1,1,1,2] [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[1,1,1,1,1]=>[1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[6]=>[6] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[5,1]=>[1,5] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[4,2]=>[2,4] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[5,1]=>[1,5] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1,4] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[3,3]=>[3,3] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[3,2,1]=>[1,2,3] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[4,2]=>[2,4] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[5,1]=>[1,5] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1,4] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[3,1,2]=>[2,1,3] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[3,2,1]=>[1,2,3] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,4,3]=>[4,1,1]=>[1,1,4] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[3,1,1,1]=>[1,1,1,3] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[2,4]=>[4,2] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[2,3,1]=>[1,3,2] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[2,2,2]=>[2,2,2] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[2,3,1]=>[1,3,2] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[2,2,1,1]=>[1,1,2,2] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[3,3]=>[3,3] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[3,2,1]=>[1,2,3] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[4,2]=>[2,4] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[5,1]=>[1,5] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[4,1,1]=>[1,1,4] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[3,1,2]=>[2,1,3] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[3,2,1]=>[1,2,3] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,4,2]=>[4,1,1]=>[1,1,4] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[3,1,1,1]=>[1,1,1,3] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[2,1,3]=>[3,1,2] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[2,1,2,1]=>[1,2,1,2] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[2,2,2]=>[2,2,2] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[2,3,1]=>[1,3,2] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[2,2,1,1]=>[1,1,2,2] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,3,2,6]=>[3,1,2]=>[2,1,3] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,3,6,2]=>[3,2,1]=>[1,2,3] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,3,2]=>[4,1,1]=>[1,1,4] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,5,3,2]=>[3,1,1,1]=>[1,1,1,3] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[2,1,1,2]=>[2,1,1,2] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[2,1,2,1]=>[1,2,1,2] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,4,6,3,2]=>[2,2,1,1]=>[1,1,2,2] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,4,3,2]=>[3,1,1,1]=>[1,1,1,3] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[2,1,1,1,1]=>[1,1,1,1,2] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[1,5]=>[5,1] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[1,4,1]=>[1,4,1] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[1,3,2]=>[2,3,1] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[1,4,1]=>[1,4,1] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[1,3,1,1]=>[1,1,3,1] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[1,2,3]=>[3,2,1] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[1,2,2,1]=>[1,2,2,1] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[1,3,2]=>[2,3,1] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[1,4,1]=>[1,4,1] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[1,3,1,1]=>[1,1,3,1] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[1,2,1,2]=>[2,1,2,1] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[1,2,2,1]=>[1,2,2,1] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,4,3]=>[1,3,1,1]=>[1,1,3,1] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[1,2,1,1,1]=>[1,1,1,2,1] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[2,4]=>[4,2] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[2,3,1]=>[1,3,2] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[2,2,2]=>[2,2,2] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[2,3,1]=>[1,3,2] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[2,2,1,1]=>[1,1,2,2] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[3,3]=>[3,3] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[3,2,1]=>[1,2,3] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[4,2]=>[2,4] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[5,1]=>[1,5] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[4,1,1]=>[1,1,4] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[3,1,2]=>[2,1,3] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[3,2,1]=>[1,2,3] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,4,1]=>[4,1,1]=>[1,1,4] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[3,1,1,1]=>[1,1,1,3] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[2,1,3]=>[3,1,2] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[2,1,2,1]=>[1,2,1,2] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[2,2,2]=>[2,2,2] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[2,3,1]=>[1,3,2] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[2,2,1,1]=>[1,1,2,2] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,3,1,6]=>[3,1,2]=>[2,1,3] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,3,6,1]=>[3,2,1]=>[1,2,3] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,3,1]=>[4,1,1]=>[1,1,4] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,5,3,1]=>[3,1,1,1]=>[1,1,1,3] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[2,1,1,2]=>[2,1,1,2] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[2,1,2,1]=>[1,2,1,2] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,4,6,3,1]=>[2,2,1,1]=>[1,1,2,2] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,4,3,1]=>[3,1,1,1]=>[1,1,1,3] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[2,1,1,1,1]=>[1,1,1,1,2] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[1,1,4]=>[4,1,1] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[1,1,3,1]=>[1,3,1,1] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[1,1,2,2]=>[2,2,1,1] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[1,1,3,1]=>[1,3,1,1] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[1,1,2,1,1]=>[1,1,2,1,1] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[1,2,3]=>[3,2,1] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[1,2,2,1]=>[1,2,2,1] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[1,3,2]=>[2,3,1] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[1,4,1]=>[1,4,1] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[1,3,1,1]=>[1,1,3,1] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[1,2,1,2]=>[2,1,2,1] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[1,2,2,1]=>[1,2,2,1] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,6,4,1]=>[1,3,1,1]=>[1,1,3,1] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[1,2,1,1,1]=>[1,1,1,2,1] [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,2,1,5,6]=>[2,1,3]=>[3,1,2] [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,2,1,6,5]=>[2,1,2,1]=>[1,2,1,2] [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,2,5,1,6]=>[2,2,2]=>[2,2,2] [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,2,5,6,1]=>[2,3,1]=>[1,3,2] [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,1]=>[2,2,1,1]=>[1,1,2,2] [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,2,1,6]=>[3,1,2]=>[2,1,3] [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,2,6,1]=>[3,2,1]=>[1,2,3] [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,2,1]=>[4,1,1]=>[1,1,4] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,5,2,1]=>[3,1,1,1]=>[1,1,1,3] [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,4,2,1,6]=>[2,1,1,2]=>[2,1,1,2] [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,4,2,6,1]=>[2,1,2,1]=>[1,2,1,2] [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,4,6,2,1]=>[2,2,1,1]=>[1,1,2,2] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,4,2,1]=>[3,1,1,1]=>[1,1,1,3] [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,5,4,2,1]=>[2,1,1,1,1]=>[1,1,1,1,2] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[1,1,1,3]=>[3,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[1,1,1,2,1]=>[1,2,1,1,1] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[1,1,2,2]=>[2,2,1,1] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[1,1,3,1]=>[1,3,1,1] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[1,1,2,1,1]=>[1,1,2,1,1] [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,3,5,2,1,6]=>[1,2,1,2]=>[2,1,2,1] [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,6,1]=>[1,2,2,1]=>[1,2,2,1] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[1,3,1,1]=>[1,1,3,1] [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,2,1]=>[1,2,1,1,1]=>[1,1,1,2,1] [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,3,2,1,6]=>[2,1,1,2]=>[2,1,1,2] [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,3,2,6,1]=>[2,1,2,1]=>[1,2,1,2] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,3,6,2,1]=>[2,2,1,1]=>[1,1,2,2] [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,3,2,1]=>[3,1,1,1]=>[1,1,1,3] [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,5,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1,2] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[1,1,1,1,2]=>[2,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[1,1,1,2,1]=>[1,2,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,4,3,6,2,1]=>[1,1,2,1,1]=>[1,1,2,1,1] [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,4,6,3,2,1]=>[1,2,1,1,1]=>[1,1,1,2,1] [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,4,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1,2] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[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]=>[1,2,3,4,5,6,7]=>[7]=>[7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[6,1]=>[1,6] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[5,2]=>[2,5] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[6,1]=>[1,6] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[5,1,1]=>[1,1,5] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[4,3]=>[3,4] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[4,2,1]=>[1,2,4] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[5,2]=>[2,5] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[6,1]=>[1,6] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[5,1,1]=>[1,1,5] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[4,1,2]=>[2,1,4] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[4,2,1]=>[1,2,4] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,5,4]=>[5,1,1]=>[1,1,5] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[3,4]=>[4,3] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[3,3,1]=>[1,3,3] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[3,2,2]=>[2,2,3] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[3,3,1]=>[1,3,3] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[3,2,1,1]=>[1,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[4,3]=>[3,4] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[4,2,1]=>[1,2,4] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[5,2]=>[2,5] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[6,1]=>[1,6] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[5,1,1]=>[1,1,5] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[4,1,2]=>[2,1,4] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[4,2,1]=>[1,2,4] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,5,3]=>[5,1,1]=>[1,1,5] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[3,1,3]=>[3,1,3] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[3,1,2,1]=>[1,2,1,3] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[3,2,2]=>[2,2,3] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[3,3,1]=>[1,3,3] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[3,2,1,1]=>[1,1,2,3] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,4,3,7]=>[4,1,2]=>[2,1,4] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,4,7,3]=>[4,2,1]=>[1,2,4] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,4,3]=>[5,1,1]=>[1,1,5] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,6,4,3]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[3,1,1,2]=>[2,1,1,3] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[3,1,2,1]=>[1,2,1,3] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,5,7,4,3]=>[3,2,1,1]=>[1,1,2,3] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,5,4,3]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[2,5]=>[5,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[2,4,1]=>[1,4,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[2,3,2]=>[2,3,2] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[2,4,1]=>[1,4,2] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[2,3,1,1]=>[1,1,3,2] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[2,2,3]=>[3,2,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[2,2,2,1]=>[1,2,2,2] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[2,3,2]=>[2,3,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[2,4,1]=>[1,4,2] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[2,3,1,1]=>[1,1,3,2] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[2,2,1,2]=>[2,1,2,2] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[2,2,2,1]=>[1,2,2,2] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,5,4]=>[2,3,1,1]=>[1,1,3,2] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[3,4]=>[4,3] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[3,3,1]=>[1,3,3] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[3,2,2]=>[2,2,3] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[3,3,1]=>[1,3,3] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[3,2,1,1]=>[1,1,2,3] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[4,3]=>[3,4] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[4,2,1]=>[1,2,4] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[5,2]=>[2,5] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[6,1]=>[1,6] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[5,1,1]=>[1,1,5] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[4,1,2]=>[2,1,4] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[4,2,1]=>[1,2,4] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,5,2]=>[5,1,1]=>[1,1,5] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[3,1,3]=>[3,1,3] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[3,1,2,1]=>[1,2,1,3] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[3,2,2]=>[2,2,3] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[3,3,1]=>[1,3,3] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[3,2,1,1]=>[1,1,2,3] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,4,2,7]=>[4,1,2]=>[2,1,4] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,4,7,2]=>[4,2,1]=>[1,2,4] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,4,2]=>[5,1,1]=>[1,1,5] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,6,4,2]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[3,1,1,2]=>[2,1,1,3] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[3,1,2,1]=>[1,2,1,3] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,5,7,4,2]=>[3,2,1,1]=>[1,1,2,3] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,5,4,2]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[2,1,4]=>[4,1,2] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[2,1,3,1]=>[1,3,1,2] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[2,1,2,2]=>[2,2,1,2] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[2,1,3,1]=>[1,3,1,2] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[2,2,3]=>[3,2,2] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[2,2,2,1]=>[1,2,2,2] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[2,3,2]=>[2,3,2] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[2,4,1]=>[1,4,2] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[2,3,1,1]=>[1,1,3,2] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[2,2,1,2]=>[2,1,2,2] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[2,2,2,1]=>[1,2,2,2] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,6,7,5,2]=>[2,3,1,1]=>[1,1,3,2] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,3,2,6,7]=>[3,1,3]=>[3,1,3] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,3,2,7,6]=>[3,1,2,1]=>[1,2,1,3] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,3,6,2,7]=>[3,2,2]=>[2,2,3] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,3,6,7,2]=>[3,3,1]=>[1,3,3] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,3,7,6,2]=>[3,2,1,1]=>[1,1,2,3] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,3,2,7]=>[4,1,2]=>[2,1,4] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,3,7,2]=>[4,2,1]=>[1,2,4] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,3,2]=>[5,1,1]=>[1,1,5] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,6,3,2]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,5,3,2,7]=>[3,1,1,2]=>[2,1,1,3] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,5,3,7,2]=>[3,1,2,1]=>[1,2,1,3] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,5,7,3,2]=>[3,2,1,1]=>[1,1,2,3] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,5,3,2]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,6,5,3,2]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[2,1,1,3]=>[3,1,1,2] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[2,1,1,2,1]=>[1,2,1,1,2] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[2,1,2,2]=>[2,2,1,2] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[2,1,3,1]=>[1,3,1,2] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,4,6,3,2,7]=>[2,2,1,2]=>[2,1,2,2] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,4,6,3,7,2]=>[2,2,2,1]=>[1,2,2,2] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,4,6,7,3,2]=>[2,3,1,1]=>[1,1,3,2] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,4,7,6,3,2]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,4,3,2,7]=>[3,1,1,2]=>[2,1,1,3] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,4,3,7,2]=>[3,1,2,1]=>[1,2,1,3] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,4,7,3,2]=>[3,2,1,1]=>[1,1,2,3] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,4,3,2]=>[4,1,1,1]=>[1,1,1,4] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,6,4,3,2]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[2,1,1,1,2]=>[2,1,1,1,2] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[2,1,1,2,1]=>[1,2,1,1,2] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,5,4,7,3,2]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,5,7,4,3,2]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,5,4,3,2]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[2,1,1,1,1,1]=>[1,1,1,1,1,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[1,6]=>[6,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[1,5,1]=>[1,5,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[1,4,2]=>[2,4,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[1,5,1]=>[1,5,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[1,4,1,1]=>[1,1,4,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[1,3,3]=>[3,3,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[1,3,2,1]=>[1,2,3,1] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[1,4,2]=>[2,4,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[1,5,1]=>[1,5,1] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[1,4,1,1]=>[1,1,4,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[1,3,1,2]=>[2,1,3,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[1,3,2,1]=>[1,2,3,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,5,4]=>[1,4,1,1]=>[1,1,4,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[1,2,4]=>[4,2,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[1,2,3,1]=>[1,3,2,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[1,2,2,2]=>[2,2,2,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[1,2,3,1]=>[1,3,2,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[1,2,2,1,1]=>[1,1,2,2,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[1,3,3]=>[3,3,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[1,3,2,1]=>[1,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[1,4,2]=>[2,4,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[1,5,1]=>[1,5,1] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[1,4,1,1]=>[1,1,4,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[1,3,1,2]=>[2,1,3,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[1,3,2,1]=>[1,2,3,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,5,3]=>[1,4,1,1]=>[1,1,4,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[1,2,1,3]=>[3,1,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[1,2,1,2,1]=>[1,2,1,2,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[1,2,2,2]=>[2,2,2,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[1,2,3,1]=>[1,3,2,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[1,2,2,1,1]=>[1,1,2,2,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,4,3,7]=>[1,3,1,2]=>[2,1,3,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,4,7,3]=>[1,3,2,1]=>[1,2,3,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,4,3]=>[1,4,1,1]=>[1,1,4,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,6,4,3]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[1,2,1,1,2]=>[2,1,1,2,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[1,2,1,2,1]=>[1,2,1,2,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,5,7,4,3]=>[1,2,2,1,1]=>[1,1,2,2,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,5,4,3]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[1,2,1,1,1,1]=>[1,1,1,1,2,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[2,5]=>[5,2] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[2,4,1]=>[1,4,2] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[2,3,2]=>[2,3,2] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[2,4,1]=>[1,4,2] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[2,3,1,1]=>[1,1,3,2] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[2,2,3]=>[3,2,2] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[2,2,2,1]=>[1,2,2,2] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[2,3,2]=>[2,3,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[2,4,1]=>[1,4,2] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[2,3,1,1]=>[1,1,3,2] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[2,2,1,2]=>[2,1,2,2] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[2,2,2,1]=>[1,2,2,2] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,5,4]=>[2,3,1,1]=>[1,1,3,2] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[3,4]=>[4,3] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[3,3,1]=>[1,3,3] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[3,2,2]=>[2,2,3] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[3,3,1]=>[1,3,3] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[3,2,1,1]=>[1,1,2,3] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[4,3]=>[3,4] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[4,2,1]=>[1,2,4] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[5,2]=>[2,5] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[6,1]=>[1,6] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[5,1,1]=>[1,1,5] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[4,1,2]=>[2,1,4] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[4,2,1]=>[1,2,4] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,5,1]=>[5,1,1]=>[1,1,5] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[3,1,3]=>[3,1,3] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[3,1,2,1]=>[1,2,1,3] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[3,2,2]=>[2,2,3] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[3,3,1]=>[1,3,3] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[3,2,1,1]=>[1,1,2,3] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,4,1,7]=>[4,1,2]=>[2,1,4] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,4,7,1]=>[4,2,1]=>[1,2,4] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,4,1]=>[5,1,1]=>[1,1,5] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,6,4,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[3,1,1,2]=>[2,1,1,3] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[3,1,2,1]=>[1,2,1,3] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,5,7,4,1]=>[3,2,1,1]=>[1,1,2,3] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,5,4,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[2,1,4]=>[4,1,2] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[2,1,3,1]=>[1,3,1,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[2,1,2,2]=>[2,2,1,2] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[2,1,3,1]=>[1,3,1,2] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[2,2,3]=>[3,2,2] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[2,2,2,1]=>[1,2,2,2] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[2,3,2]=>[2,3,2] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[2,4,1]=>[1,4,2] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[2,3,1,1]=>[1,1,3,2] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[2,2,1,2]=>[2,1,2,2] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[2,2,2,1]=>[1,2,2,2] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,6,7,5,1]=>[2,3,1,1]=>[1,1,3,2] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,3,1,6,7]=>[3,1,3]=>[3,1,3] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,3,1,7,6]=>[3,1,2,1]=>[1,2,1,3] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,3,6,1,7]=>[3,2,2]=>[2,2,3] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,3,6,7,1]=>[3,3,1]=>[1,3,3] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,3,7,6,1]=>[3,2,1,1]=>[1,1,2,3] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,3,1,7]=>[4,1,2]=>[2,1,4] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,3,7,1]=>[4,2,1]=>[1,2,4] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,3,1]=>[5,1,1]=>[1,1,5] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,6,3,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,5,3,1,7]=>[3,1,1,2]=>[2,1,1,3] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,5,3,7,1]=>[3,1,2,1]=>[1,2,1,3] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,5,7,3,1]=>[3,2,1,1]=>[1,1,2,3] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,5,3,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,6,5,3,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[2,1,1,3]=>[3,1,1,2] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[2,1,1,2,1]=>[1,2,1,1,2] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[2,1,2,2]=>[2,2,1,2] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[2,1,3,1]=>[1,3,1,2] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,4,6,3,1,7]=>[2,2,1,2]=>[2,1,2,2] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,4,6,3,7,1]=>[2,2,2,1]=>[1,2,2,2] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,4,6,7,3,1]=>[2,3,1,1]=>[1,1,3,2] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,4,7,6,3,1]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,4,3,1,7]=>[3,1,1,2]=>[2,1,1,3] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,4,3,7,1]=>[3,1,2,1]=>[1,2,1,3] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,4,7,3,1]=>[3,2,1,1]=>[1,1,2,3] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,4,3,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,6,4,3,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[2,1,1,1,2]=>[2,1,1,1,2] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[2,1,1,2,1]=>[1,2,1,1,2] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,5,4,7,3,1]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,5,7,4,3,1]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,5,4,3,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[2,1,1,1,1,1]=>[1,1,1,1,1,2] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[1,1,5]=>[5,1,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[1,1,4,1]=>[1,4,1,1] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[1,1,3,2]=>[2,3,1,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[1,1,4,1]=>[1,4,1,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[1,1,3,1,1]=>[1,1,3,1,1] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[1,1,2,3]=>[3,2,1,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[1,1,2,2,1]=>[1,2,2,1,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[1,1,3,2]=>[2,3,1,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[1,1,4,1]=>[1,4,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[1,1,3,1,1]=>[1,1,3,1,1] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[1,1,2,1,2]=>[2,1,2,1,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[1,1,2,2,1]=>[1,2,2,1,1] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,6,7,5,4]=>[1,1,3,1,1]=>[1,1,3,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[1,1,2,1,1,1]=>[1,1,1,2,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[1,2,4]=>[4,2,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[1,2,3,1]=>[1,3,2,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[1,2,2,2]=>[2,2,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[1,2,3,1]=>[1,3,2,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[1,2,2,1,1]=>[1,1,2,2,1] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[1,3,3]=>[3,3,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[1,3,2,1]=>[1,2,3,1] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[1,4,2]=>[2,4,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[1,5,1]=>[1,5,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[1,4,1,1]=>[1,1,4,1] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[1,3,1,2]=>[2,1,3,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[1,3,2,1]=>[1,2,3,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,6,7,5,1]=>[1,4,1,1]=>[1,1,4,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[1,2,1,3]=>[3,1,2,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[1,2,1,2,1]=>[1,2,1,2,1] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[1,2,2,2]=>[2,2,2,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[1,2,3,1]=>[1,3,2,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[1,2,2,1,1]=>[1,1,2,2,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,5,6,4,1,7]=>[1,3,1,2]=>[2,1,3,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,5,6,4,7,1]=>[1,3,2,1]=>[1,2,3,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,4,1]=>[1,4,1,1]=>[1,1,4,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,5,7,6,4,1]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[1,2,1,1,2]=>[2,1,1,2,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[1,2,1,2,1]=>[1,2,1,2,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,6,5,7,4,1]=>[1,2,2,1,1]=>[1,1,2,2,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,6,7,5,4,1]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[1,2,1,1,1,1]=>[1,1,1,1,2,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7]=>[2,1,4]=>[4,1,2] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,2,1,5,7,6]=>[2,1,3,1]=>[1,3,1,2] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,2,1,6,5,7]=>[2,1,2,2]=>[2,2,1,2] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,2,1,6,7,5]=>[2,1,3,1]=>[1,3,1,2] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,2,1,7,6,5]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,2,5,1,6,7]=>[2,2,3]=>[3,2,2] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,2,5,1,7,6]=>[2,2,2,1]=>[1,2,2,2] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,1,7]=>[2,3,2]=>[2,3,2] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,1]=>[2,4,1]=>[1,4,2] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,2,5,7,6,1]=>[2,3,1,1]=>[1,1,3,2] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,2,6,5,1,7]=>[2,2,1,2]=>[2,1,2,2] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,2,6,5,7,1]=>[2,2,2,1]=>[1,2,2,2] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,2,6,7,5,1]=>[2,3,1,1]=>[1,1,3,2] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,2,7,6,5,1]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,2,1,6,7]=>[3,1,3]=>[3,1,3] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,2,1,7,6]=>[3,1,2,1]=>[1,2,1,3] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,2,6,1,7]=>[3,2,2]=>[2,2,3] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,2,6,7,1]=>[3,3,1]=>[1,3,3] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,2,7,6,1]=>[3,2,1,1]=>[1,1,2,3] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,2,1,7]=>[4,1,2]=>[2,1,4] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,2,7,1]=>[4,2,1]=>[1,2,4] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,2,1]=>[5,1,1]=>[1,1,5] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,6,2,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,5,2,1,7]=>[3,1,1,2]=>[2,1,1,3] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,5,2,7,1]=>[3,1,2,1]=>[1,2,1,3] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,5,7,2,1]=>[3,2,1,1]=>[1,1,2,3] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,5,2,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,6,5,2,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,4,2,1,6,7]=>[2,1,1,3]=>[3,1,1,2] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,4,2,1,7,6]=>[2,1,1,2,1]=>[1,2,1,1,2] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,4,2,6,1,7]=>[2,1,2,2]=>[2,2,1,2] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,4,2,6,7,1]=>[2,1,3,1]=>[1,3,1,2] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,4,2,7,6,1]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,4,6,2,1,7]=>[2,2,1,2]=>[2,1,2,2] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,4,6,2,7,1]=>[2,2,2,1]=>[1,2,2,2] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,4,6,7,2,1]=>[2,3,1,1]=>[1,1,3,2] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,4,7,6,2,1]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,4,2,1,7]=>[3,1,1,2]=>[2,1,1,3] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,4,2,7,1]=>[3,1,2,1]=>[1,2,1,3] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,4,7,2,1]=>[3,2,1,1]=>[1,1,2,3] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,4,2,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,6,4,2,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,5,4,2,1,7]=>[2,1,1,1,2]=>[2,1,1,1,2] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,5,4,2,7,1]=>[2,1,1,2,1]=>[1,2,1,1,2] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,5,4,7,2,1]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,5,7,4,2,1]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,5,4,2,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,6,5,4,2,1]=>[2,1,1,1,1,1]=>[1,1,1,1,1,2] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[1,1,1,4]=>[4,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[1,1,1,3,1]=>[1,3,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[1,1,1,2,2]=>[2,2,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[1,1,1,3,1]=>[1,3,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[1,1,1,2,1,1]=>[1,1,2,1,1,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[1,1,2,3]=>[3,2,1,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[1,1,2,2,1]=>[1,2,2,1,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[1,1,3,2]=>[2,3,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[1,1,4,1]=>[1,4,1,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[1,1,3,1,1]=>[1,1,3,1,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[1,1,2,1,2]=>[2,1,2,1,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[1,1,2,2,1]=>[1,2,2,1,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,6,7,5,1]=>[1,1,3,1,1]=>[1,1,3,1,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[1,1,2,1,1,1]=>[1,1,1,2,1,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,3,5,2,1,6,7]=>[1,2,1,3]=>[3,1,2,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,3,5,2,1,7,6]=>[1,2,1,2,1]=>[1,2,1,2,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,3,5,2,6,1,7]=>[1,2,2,2]=>[2,2,2,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,3,5,2,6,7,1]=>[1,2,3,1]=>[1,3,2,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,3,5,2,7,6,1]=>[1,2,2,1,1]=>[1,1,2,2,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,3,5,6,2,1,7]=>[1,3,1,2]=>[2,1,3,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,2,7,1]=>[1,3,2,1]=>[1,2,3,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,2,1]=>[1,4,1,1]=>[1,1,4,1] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,3,5,7,6,2,1]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,3,6,5,2,1,7]=>[1,2,1,1,2]=>[2,1,1,2,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,3,6,5,2,7,1]=>[1,2,1,2,1]=>[1,2,1,2,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,3,6,5,7,2,1]=>[1,2,2,1,1]=>[1,1,2,2,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,6,7,5,2,1]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3,7,6,5,2,1]=>[1,2,1,1,1,1]=>[1,1,1,1,2,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,3,2,1,6,7]=>[2,1,1,3]=>[3,1,1,2] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,3,2,1,7,6]=>[2,1,1,2,1]=>[1,2,1,1,2] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,3,2,6,1,7]=>[2,1,2,2]=>[2,2,1,2] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,3,2,6,7,1]=>[2,1,3,1]=>[1,3,1,2] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,3,2,7,6,1]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,3,6,2,1,7]=>[2,2,1,2]=>[2,1,2,2] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,3,6,2,7,1]=>[2,2,2,1]=>[1,2,2,2] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,3,6,7,2,1]=>[2,3,1,1]=>[1,1,3,2] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,3,7,6,2,1]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,3,2,1,7]=>[3,1,1,2]=>[2,1,1,3] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,3,2,7,1]=>[3,1,2,1]=>[1,2,1,3] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,3,7,2,1]=>[3,2,1,1]=>[1,1,2,3] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[4,1,1,1]=>[1,1,1,4] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,6,3,2,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,5,3,2,1,7]=>[2,1,1,1,2]=>[2,1,1,1,2] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,5,3,2,7,1]=>[2,1,1,2,1]=>[1,2,1,1,2] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,5,3,7,2,1]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,5,7,3,2,1]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,5,3,2,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,6,5,3,2,1]=>[2,1,1,1,1,1]=>[1,1,1,1,1,2] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3]=>[3,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[1,1,1,1,2,1]=>[1,2,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[1,1,1,2,2]=>[2,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[1,1,1,3,1]=>[1,3,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[1,1,1,2,1,1]=>[1,1,2,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,4,3,6,2,1,7]=>[1,1,2,1,2]=>[2,1,2,1,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,4,3,6,2,7,1]=>[1,1,2,2,1]=>[1,2,2,1,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[1,1,3,1,1]=>[1,1,3,1,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,4,3,7,6,2,1]=>[1,1,2,1,1,1]=>[1,1,1,2,1,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,4,6,3,2,1,7]=>[1,2,1,1,2]=>[2,1,1,2,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,4,6,3,2,7,1]=>[1,2,1,2,1]=>[1,2,1,2,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[1,2,2,1,1]=>[1,1,2,2,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1]=>[1,3,1,1,1]=>[1,1,1,3,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,4,7,6,3,2,1]=>[1,2,1,1,1,1]=>[1,1,1,1,2,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,4,3,2,1,7]=>[2,1,1,1,2]=>[2,1,1,1,2] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,4,3,2,7,1]=>[2,1,1,2,1]=>[1,2,1,1,2] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,4,3,7,2,1]=>[2,1,2,1,1]=>[1,1,2,1,2] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,4,7,3,2,1]=>[2,2,1,1,1]=>[1,1,1,2,2] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,4,3,2,1]=>[3,1,1,1,1]=>[1,1,1,1,3] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,6,4,3,2,1]=>[2,1,1,1,1,1]=>[1,1,1,1,1,2] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2]=>[2,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[1,1,1,1,2,1]=>[1,2,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,5,4,3,7,2,1]=>[1,1,1,2,1,1]=>[1,1,2,1,1,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,5,4,7,3,2,1]=>[1,1,2,1,1,1]=>[1,1,1,2,1,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,5,7,4,3,2,1]=>[1,2,1,1,1,1]=>[1,1,1,1,2,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,5,4,3,2,1]=>[2,1,1,1,1,1]=>[1,1,1,1,1,2] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[8]=>[8] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[7,1]=>[1,7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[6,2]=>[2,6] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[7,1]=>[1,7] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[5,3]=>[3,5] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[5,2,1]=>[1,2,5] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>[6,2]=>[2,6] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[7,1]=>[1,7] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[5,1,2]=>[2,1,5] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>[5,2,1]=>[1,2,5] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,6,5]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[4,4]=>[4,4] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[4,3,1]=>[1,3,4] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[4,2,2]=>[2,2,4] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[4,3,1]=>[1,3,4] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]=>[5,3]=>[3,5] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>[5,2,1]=>[1,2,5] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[6,2]=>[2,6] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[7,1]=>[1,7] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,6,4,8]=>[5,1,2]=>[2,1,5] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>[5,2,1]=>[1,2,5] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,7,8,6,4]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,5,4,7,8]=>[4,1,3]=>[3,1,4] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>[4,2,2]=>[2,2,4] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>[4,3,1]=>[1,3,4] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,6,7,5,4,8]=>[5,1,2]=>[2,1,5] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,6,7,5,8,4]=>[5,2,1]=>[1,2,5] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,6,7,8,5,4]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,6,8,7,5,4]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>[4,1,1,2]=>[2,1,1,4] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,6,8,5,4]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,7,8,6,5,4]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[3,5]=>[5,3] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[3,4,1]=>[1,4,3] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>[3,4,1]=>[1,4,3] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[3,2,3]=>[3,2,3] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[3,2,2,1]=>[1,2,2,3] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>[3,3,2]=>[2,3,3] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>[3,4,1]=>[1,4,3] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,4,3,7,6,5,8]=>[3,2,1,2]=>[2,1,2,3] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>[3,2,2,1]=>[1,2,2,3] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,7,8,6,5]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8]=>[4,4]=>[4,4] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6,8,7]=>[4,3,1]=>[1,3,4] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,4,5,3,7,8,6]=>[4,3,1]=>[1,3,4] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[5,3]=>[3,5] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,6,3,8,7]=>[5,2,1]=>[1,2,5] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]=>[6,2]=>[2,6] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[7,1]=>[1,7] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,7,3]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,4,5,7,6,3,8]=>[5,1,2]=>[2,1,5] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,7,8,6,3]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,7,6,3]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,4,6,5,3,7,8]=>[4,1,3]=>[3,1,4] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,4,6,5,7,8,3]=>[4,3,1]=>[1,3,4] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,4,6,5,8,7,3]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,4,6,7,5,3,8]=>[5,1,2]=>[2,1,5] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,4,6,7,5,8,3]=>[5,2,1]=>[1,2,5] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,6,7,8,5,3]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,4,6,8,7,5,3]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,4,7,6,5,3,8]=>[4,1,1,2]=>[2,1,1,4] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,4,7,6,5,8,3]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,4,7,8,6,5,3]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]=>[3,1,4]=>[4,1,3] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>[3,1,3,1]=>[1,3,1,3] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,5,4,3,7,6,8]=>[3,1,2,2]=>[2,2,1,3] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>[3,1,3,1]=>[1,3,1,3] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,4,3,8,7,6]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,3,8]=>[3,3,2]=>[2,3,3] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,3]=>[3,4,1]=>[1,4,3] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,5,4,6,8,7,3]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,4,8,7,6,3]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,5,6,4,3,7,8]=>[4,1,3]=>[3,1,4] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,2,5,6,4,3,8,7]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,5,6,4,7,3,8]=>[4,2,2]=>[2,2,4] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,5,6,4,7,8,3]=>[4,3,1]=>[1,3,4] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,2,5,6,4,8,7,3]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,5,6,7,4,3,8]=>[5,1,2]=>[2,1,5] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,5,6,7,4,8,3]=>[5,2,1]=>[1,2,5] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,8,4,3]=>[6,1,1]=>[1,1,6] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,8,7,4,3]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,5,7,6,4,3,8]=>[4,1,1,2]=>[2,1,1,4] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,5,7,6,4,8,3]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,5,7,6,8,4,3]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,5,7,8,6,4,3]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,5,8,7,6,4,3]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>[3,1,1,3]=>[3,1,1,3] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,6,5,4,3,8,7]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]=>[3,1,3,1]=>[1,3,1,3] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,5,4,8,7,3]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,6,5,7,8,4,3]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,6,5,8,7,4,3]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,6,7,5,8,4,3]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,6,7,8,5,4,3]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,6,5,4,3,8]=>[3,1,1,1,2]=>[2,1,1,1,3] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,7,6,5,8,4,3]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[2,6]=>[6,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[2,4,2]=>[2,4,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[2,5,1]=>[1,5,2] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,7,6]=>[2,4,1,1]=>[1,1,4,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>[2,3,3]=>[3,3,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]=>[2,3,2,1]=>[1,2,3,2] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[2,5,1]=>[1,5,2] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,7,5]=>[2,4,1,1]=>[1,1,4,2] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]=>[2,3,1,2]=>[2,1,3,2] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,6,8,5]=>[2,3,2,1]=>[1,2,3,2] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[2,2,4]=>[4,2,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[2,2,2,2]=>[2,2,2,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[2,2,3,1]=>[1,3,2,2] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]=>[2,3,3]=>[3,3,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[2,4,2]=>[2,4,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[2,5,1]=>[1,5,2] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]=>[2,3,1,2]=>[2,1,3,2] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]=>[2,3,2,1]=>[1,2,3,2] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,7,8,6,4]=>[2,4,1,1]=>[1,1,4,2] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,7,6,4]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,5,4,7,8]=>[2,2,1,3]=>[3,1,2,2] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2,6,5,4,8,7]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>[2,2,2,2]=>[2,2,2,2] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,5,7,8,4]=>[2,2,3,1]=>[1,3,2,2] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,5,8,7,4]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,2,6,7,5,4,8]=>[2,3,1,2]=>[2,1,3,2] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,6,7,5,8,4]=>[2,3,2,1]=>[1,2,3,2] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,2,6,7,8,5,4]=>[2,4,1,1]=>[1,1,4,2] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,6,8,7,5,4]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,6,5,4,8]=>[2,2,1,1,2]=>[2,1,1,2,2] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,2,7,8,6,5,4]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[3,5]=>[5,3] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[3,4,1]=>[1,4,3] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,5,7,6,8]=>[3,3,2]=>[2,3,3] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>[3,4,1]=>[1,4,3] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,8,7,6]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]=>[3,2,2,1]=>[1,2,2,3] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[3,3,2]=>[2,3,3] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[3,4,1]=>[1,4,3] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,6,8,7,5]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,7,6,5,8]=>[3,2,1,2]=>[2,1,2,3] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>[3,2,2,1]=>[1,2,2,3] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,2,7,8,6,5]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[4,4]=>[4,4] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,5,2,6,8,7]=>[4,3,1]=>[1,3,4] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]=>[4,2,2]=>[2,2,4] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,2,7,8,6]=>[4,3,1]=>[1,3,4] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,2,8,7]=>[5,2,1]=>[1,2,5] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[6,2]=>[2,6] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[7,1]=>[1,7] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,7,2]=>[6,1,1]=>[1,1,6] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,6,5,7,8,2]=>[4,3,1]=>[1,3,4] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,4,6,7,5,8,2]=>[5,2,1]=>[1,2,5] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,6,7,8,5,2]=>[6,1,1]=>[1,1,6] [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,6,8,7,5,2]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,7,6,5,8,2]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,7,6,8,5,2]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,7,8,6,5,2]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8]=>[3,1,4]=>[4,1,3] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,5,4,2,6,8,7]=>[3,1,3,1]=>[1,3,1,3] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,8]=>[3,1,2,2]=>[2,2,1,3] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,4,2,7,8,6]=>[3,1,3,1]=>[1,3,1,3] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,5,4,6,7,8,2]=>[3,4,1]=>[1,4,3] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>[3,2,1,2]=>[2,1,2,3] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]=>[3,2,2,1]=>[1,2,2,3] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,4,7,8,6,2]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,4,8,7,6,2]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,5,6,4,2,7,8]=>[4,1,3]=>[3,1,4] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,5,6,4,7,8,2]=>[4,3,1]=>[1,3,4] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,5,6,7,4,2,8]=>[5,1,2]=>[2,1,5] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,5,6,7,4,8,2]=>[5,2,1]=>[1,2,5] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,4,2]=>[6,1,1]=>[1,1,6] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,5,6,8,7,4,2]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,5,7,6,4,2,8]=>[4,1,1,2]=>[2,1,1,4] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,5,7,6,4,8,2]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,7,6,8,4,2]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,7,8,6,4,2]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,8,7,6,4,2]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,3,6,5,4,2,7,8]=>[3,1,1,3]=>[3,1,1,3] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,3,6,5,4,2,8,7]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,5,4,7,2,8]=>[3,1,2,2]=>[2,2,1,3] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,5,4,8,7,2]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,6,5,7,8,4,2]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,6,5,8,7,4,2]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,3,6,7,5,4,2,8]=>[4,1,1,2]=>[2,1,1,4] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,6,7,5,8,4,2]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,6,7,8,5,4,2]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,6,8,7,5,4,2]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,7,6,8,5,4,2]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[2,1,5]=>[5,1,2] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]=>[2,1,4,1]=>[1,4,1,2] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,3,2,5,7,6,8]=>[2,1,3,2]=>[2,3,1,2] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,3,2,5,7,8,6]=>[2,1,4,1]=>[1,4,1,2] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,4,3,2,6,5,7,8]=>[2,1,2,3]=>[3,2,1,2] [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,4,3,2,6,5,8,7]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>[2,1,3,2]=>[2,3,1,2] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>[2,1,4,1]=>[1,4,1,2] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,4,3,2,6,8,7,5]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[2,1,2,1,2]=>[2,1,2,1,2] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,8]=>[2,2,2,2]=>[2,2,2,2] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,3,5,2,7,8,6]=>[2,2,3,1]=>[1,3,2,2] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,3,5,2,8,7,6]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,7,6,2,8]=>[2,3,1,2]=>[2,1,3,2] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,3,5,7,6,8,2]=>[2,3,2,1]=>[1,2,3,2] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,3,5,7,8,6,2]=>[2,4,1,1]=>[1,1,4,2] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>[2,2,1,3]=>[3,1,2,2] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>[2,2,2,2]=>[2,2,2,2] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]=>[2,2,3,1]=>[1,3,2,2] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,3,6,7,5,8,2]=>[2,3,2,1]=>[1,2,3,2] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,6,7,8,5,2]=>[2,4,1,1]=>[1,1,4,2] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,6,8,7,5,2]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,3,7,6,8,5,2]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,7,8,6,5,2]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,4,5,3,2,7,6,8]=>[3,1,2,2]=>[2,2,1,3] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,4,5,3,6,7,2,8]=>[3,3,2]=>[2,3,3] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,3,6,7,8,2]=>[3,4,1]=>[1,4,3] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,3,6,8,7,2]=>[3,3,1,1]=>[1,1,3,3] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,4,5,3,7,6,2,8]=>[3,2,1,2]=>[2,1,2,3] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,3,8,7,6,2]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,6,3,2,7,8]=>[4,1,3]=>[3,1,4] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,6,3,2,8,7]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,3,2,8]=>[5,1,2]=>[2,1,5] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,7,3,8,2]=>[5,2,1]=>[1,2,5] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,3,2]=>[6,1,1]=>[1,1,6] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,4,5,7,6,3,2,8]=>[4,1,1,2]=>[2,1,1,4] [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,5,7,6,3,8,2]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,4,5,7,8,6,3,2]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,4,5,8,7,6,3,2]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,4,6,5,3,2,7,8]=>[3,1,1,3]=>[3,1,1,3] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,6,5,3,8,7,2]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,4,6,5,7,3,2,8]=>[3,2,1,2]=>[2,1,2,3] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,4,6,5,8,7,3,2]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,6,7,5,3,8,2]=>[4,1,2,1]=>[1,2,1,4] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,4,6,7,5,8,3,2]=>[4,2,1,1]=>[1,1,2,4] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,4,6,7,8,5,3,2]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,4,6,8,7,5,3,2]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,4,7,6,5,3,8,2]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,4,7,6,5,8,3,2]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,4,7,6,8,5,3,2]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,4,7,8,6,5,3,2]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,4,8,7,6,5,3,2]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]=>[2,1,1,4]=>[4,1,1,2] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,5,4,3,2,6,8,7]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,4,3,2,7,6,8]=>[2,1,1,2,2]=>[2,2,1,1,2] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]=>[2,1,2,3]=>[3,2,1,2] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,5,4,3,6,7,2,8]=>[2,1,3,2]=>[2,3,1,2] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>[2,1,4,1]=>[1,4,1,2] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,4,3,7,6,8,2]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,4,3,7,8,6,2]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,4,3,8,7,6,2]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,4,6,3,2,7,8]=>[2,2,1,3]=>[3,1,2,2] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,5,4,6,3,2,8,7]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,4,6,3,7,2,8]=>[2,2,2,2]=>[2,2,2,2] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,4,6,3,7,8,2]=>[2,2,3,1]=>[1,3,2,2] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,4,6,7,3,8,2]=>[2,3,2,1]=>[1,2,3,2] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,4,7,6,3,8,2]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,5,6,4,3,2,7,8]=>[3,1,1,3]=>[3,1,1,3] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,6,4,3,8,7,2]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,5,6,7,4,3,2,8]=>[4,1,1,2]=>[2,1,1,4] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,4,3,2]=>[5,1,1,1]=>[1,1,1,5] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,5,6,8,7,4,3,2]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,7,6,4,3,8,2]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,5,7,6,8,4,3,2]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,5,7,8,6,4,3,2]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,5,8,7,6,4,3,2]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,5,4,3,7,2,8]=>[2,1,1,2,2]=>[2,2,1,1,2] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,5,4,3,7,8,2]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,6,5,4,7,8,3,2]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,5,7,4,3,8,2]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,6,5,7,4,8,3,2]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,5,7,8,4,3,2]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,5,8,7,4,3,2]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,6,7,5,4,3,8,2]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,6,7,5,8,4,3,2]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,5,4,3,2]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,6,8,7,5,4,3,2]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,6,5,4,3,8,2]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7,6,5,4,8,3,2]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7,6,5,8,4,3,2]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,6,8,5,4,3,2]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,6,5,4,3,2]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[1,7]=>[7,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[1,6,1]=>[1,6,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[1,4,3]=>[3,4,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>[1,4,2,1]=>[1,2,4,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[1,6,1]=>[1,6,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,7,6,8,5]=>[1,4,2,1]=>[1,2,4,1] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[1,3,3,1]=>[1,3,3,1] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,3,5,6,4,7,8]=>[1,4,3]=>[3,4,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[1,6,1]=>[1,6,1] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,3,5,6,8,7,4]=>[1,5,1,1]=>[1,1,5,1] [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,3,5,7,6,8,4]=>[1,4,2,1]=>[1,2,4,1] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,3,5,7,8,6,4]=>[1,5,1,1]=>[1,1,5,1] [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,3,5,8,7,6,4]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,6,5,4,7,8]=>[1,3,1,3]=>[3,1,3,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,3,6,5,7,8,4]=>[1,3,3,1]=>[1,3,3,1] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,6,5,8,7,4]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,6,7,5,4,8]=>[1,4,1,2]=>[2,1,4,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,6,7,5,8,4]=>[1,4,2,1]=>[1,2,4,1] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,6,7,8,5,4]=>[1,5,1,1]=>[1,1,5,1] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,6,8,7,5,4]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,7,6,5,4,8]=>[1,3,1,1,2]=>[2,1,1,3,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,3,7,6,5,8,4]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,3,7,6,8,5,4]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,7,8,6,5,4]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[1,2,5]=>[5,2,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>[1,2,4,1]=>[1,4,2,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]=>[1,2,4,1]=>[1,4,2,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[1,2,2,3]=>[3,2,2,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[1,2,4,1]=>[1,4,2,1] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[1,2,3,1,1]=>[1,1,3,2,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,6,5]=>[1,2,3,1,1]=>[1,1,3,2,1] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]=>[1,3,4]=>[4,3,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]=>[1,3,3,1]=>[1,3,3,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3,7,8,6]=>[1,3,3,1]=>[1,3,3,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,6,3,7,8]=>[1,4,3]=>[3,4,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[1,4,2,1]=>[1,2,4,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[1,6,1]=>[1,6,1] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,7,3]=>[1,5,1,1]=>[1,1,5,1] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,7,8,6,3]=>[1,5,1,1]=>[1,1,5,1] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]=>[1,3,1,3]=>[3,1,3,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,6,7,5,3,8]=>[1,4,1,2]=>[2,1,4,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,4,6,7,5,8,3]=>[1,4,2,1]=>[1,2,4,1] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,6,7,8,5,3]=>[1,5,1,1]=>[1,1,5,1] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,8,7,5,3]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,4,7,6,5,3,8]=>[1,3,1,1,2]=>[2,1,1,3,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,4,7,6,5,8,3]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,4,7,8,6,5,3]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]=>[1,2,1,4]=>[4,1,2,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>[1,2,1,3,1]=>[1,3,1,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,5,4,3,7,8,6]=>[1,2,1,3,1]=>[1,3,1,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,5,4,3,8,7,6]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,4,6,7,3,8]=>[1,2,3,2]=>[2,3,2,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,4,6,7,8,3]=>[1,2,4,1]=>[1,4,2,1] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,4,6,8,7,3]=>[1,2,3,1,1]=>[1,1,3,2,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,5,4,7,6,3,8]=>[1,2,2,1,2]=>[2,1,2,2,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,4,7,8,6,3]=>[1,2,3,1,1]=>[1,1,3,2,1] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,4,8,7,6,3]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,6,4,3,7,8]=>[1,3,1,3]=>[3,1,3,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,4,3,8,7]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,5,6,4,7,8,3]=>[1,3,3,1]=>[1,3,3,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,5,6,7,4,3,8]=>[1,4,1,2]=>[2,1,4,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,5,6,7,4,8,3]=>[1,4,2,1]=>[1,2,4,1] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,4,3]=>[1,5,1,1]=>[1,1,5,1] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,5,6,8,7,4,3]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,5,7,6,4,8,3]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,6,8,4,3]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,5,7,8,6,4,3]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,5,8,7,6,4,3]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[1,2,1,1,2,1]=>[1,2,1,1,2,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,5,4,7,8,3]=>[1,2,1,3,1]=>[1,3,1,2,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,5,7,4,8,3]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,5,7,8,4,3]=>[1,2,3,1,1]=>[1,1,3,2,1] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,6,5,8,7,4,3]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,6,7,5,8,4,3]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,5,4,3]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,6,8,7,5,4,3]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,7,6,5,8,4,3]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,6,8,5,4,3]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,7,8,6,5,4,3]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[2,6]=>[6,2] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[2,5,1]=>[1,5,2] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5,8,7,6]=>[2,4,1,1]=>[1,1,4,2] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]=>[2,4,2]=>[2,4,2] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[2,5,1]=>[1,5,2] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,1,4,6,8,7,5]=>[2,4,1,1]=>[1,1,4,2] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[2,3,2,1]=>[1,2,3,2] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,1,4,7,8,6,5]=>[2,4,1,1]=>[1,1,4,2] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[2,2,4]=>[4,2,2] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[2,2,2,2]=>[2,2,2,2] [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,1,5,6,4,7,8]=>[2,3,3]=>[3,3,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>[2,4,2]=>[2,4,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[2,5,1]=>[1,5,2] [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,1,5,6,8,7,4]=>[2,4,1,1]=>[1,1,4,2] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,6,8,4]=>[2,3,2,1]=>[1,2,3,2] [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,1,5,7,8,6,4]=>[2,4,1,1]=>[1,1,4,2] [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,1,5,8,7,6,4]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,6,5,4,7,8]=>[2,2,1,3]=>[3,1,2,2] [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,6,5,4,8,7]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>[2,2,2,2]=>[2,2,2,2] [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,5,7,8,4]=>[2,2,3,1]=>[1,3,2,2] [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,6,7,5,4,8]=>[2,3,1,2]=>[2,1,3,2] [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,6,7,5,8,4]=>[2,3,2,1]=>[1,2,3,2] [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,6,7,8,5,4]=>[2,4,1,1]=>[1,1,4,2] [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,1,6,8,7,5,4]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,1,7,6,5,4,8]=>[2,2,1,1,2]=>[2,1,1,2,2] [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,7,6,5,8,4]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,6,8,5,4]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,7,8,6,5,4]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[3,5]=>[5,3] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[3,4,1]=>[1,4,3] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[3,3,2]=>[2,3,3] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[3,4,1]=>[1,4,3] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>[3,3,1,1]=>[1,1,3,3] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[3,2,3]=>[3,2,3] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[3,2,2,1]=>[1,2,2,3] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[3,3,2]=>[2,3,3] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[3,4,1]=>[1,4,3] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[3,3,1,1]=>[1,1,3,3] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,6,5,8]=>[3,2,1,2]=>[2,1,2,3] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>[3,2,2,1]=>[1,2,2,3] [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,7,8,6,5]=>[3,3,1,1]=>[1,1,3,3] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[4,4]=>[4,4] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[4,3,1]=>[1,3,4] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[4,2,2]=>[2,2,4] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[4,3,1]=>[1,3,4] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>[4,2,1,1]=>[1,1,2,4] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[5,3]=>[3,5] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[5,2,1]=>[1,2,5] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[6,2]=>[2,6] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[7,1]=>[1,7] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[6,1,1]=>[1,1,6] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[5,2,1]=>[1,2,5] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,6,1]=>[6,1,1]=>[1,1,6] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[4,3,1]=>[1,3,4] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,5,8,7,1]=>[4,2,1,1]=>[1,1,2,4] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,5,1]=>[6,1,1]=>[1,1,6] [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,8,7,5,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>[4,1,1,2]=>[2,1,1,4] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>[4,1,2,1]=>[1,2,1,4] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,7,8,6,5,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>[3,1,4]=>[4,1,3] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]=>[3,1,2,2]=>[2,2,1,3] [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,5,4,1,7,8,6]=>[3,1,3,1]=>[1,3,1,3] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,4,6,1,7,8]=>[3,2,3]=>[3,2,3] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,5,4,6,7,1,8]=>[3,3,2]=>[2,3,3] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>[3,4,1]=>[1,4,3] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,4,7,6,8,1]=>[3,2,2,1]=>[1,2,2,3] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,4,8,7,6,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,5,6,4,1,8,7]=>[4,1,2,1]=>[1,2,1,4] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,5,6,4,7,1,8]=>[4,2,2]=>[2,2,4] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,4,7,8,1]=>[4,3,1]=>[1,3,4] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,5,6,7,4,1,8]=>[5,1,2]=>[2,1,5] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,4,1]=>[6,1,1]=>[1,1,6] [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,8,7,4,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,5,7,6,4,1,8]=>[4,1,1,2]=>[2,1,1,4] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,5,7,6,4,8,1]=>[4,1,2,1]=>[1,2,1,4] [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,5,7,6,8,4,1]=>[4,2,1,1]=>[1,1,2,4] [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,5,7,8,6,4,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>[3,1,3,1]=>[1,3,1,3] [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,6,5,7,4,1,8]=>[3,2,1,2]=>[2,1,2,3] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,6,5,8,7,4,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,6,7,5,4,1,8]=>[4,1,1,2]=>[2,1,1,4] [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,6,7,5,4,8,1]=>[4,1,2,1]=>[1,2,1,4] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,6,7,5,8,4,1]=>[4,2,1,1]=>[1,1,2,4] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,6,7,8,5,4,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,6,8,7,5,4,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>[3,1,1,1,2]=>[2,1,1,1,3] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,6,5,8,4,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,7,6,8,5,4,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>[2,1,5]=>[5,1,2] [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,4,3,1,5,6,8,7]=>[2,1,4,1]=>[1,4,1,2] [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,4,3,1,5,7,8,6]=>[2,1,4,1]=>[1,4,1,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]=>[2,1,4,1]=>[1,4,1,2] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>[2,2,4]=>[4,2,2] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,3,5,1,7,6,8]=>[2,2,2,2]=>[2,2,2,2] [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,4,3,5,1,7,8,6]=>[2,2,3,1]=>[1,3,2,2] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,3,5,1,8,7,6]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>[2,5,1]=>[1,5,2] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>[2,4,1,1]=>[1,1,4,2] [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,4,3,5,7,6,1,8]=>[2,3,1,2]=>[2,1,3,2] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,7,6,8,1]=>[2,3,2,1]=>[1,2,3,2] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,4,3,5,8,7,6,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,6,5,7,1,8]=>[2,2,2,2]=>[2,2,2,2] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,1]=>[2,2,3,1]=>[1,3,2,2] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,4,3,6,7,8,5,1]=>[2,4,1,1]=>[1,1,4,2] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,8,7,5,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,4,5,3,1,6,7,8]=>[3,1,4]=>[4,1,3] [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,4,5,3,1,6,8,7]=>[3,1,3,1]=>[1,3,1,3] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,4,5,3,1,7,6,8]=>[3,1,2,2]=>[2,2,1,3] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,4,5,3,1,7,8,6]=>[3,1,3,1]=>[1,3,1,3] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,4,5,3,1,8,7,6]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,4,5,3,6,1,8,7]=>[3,2,2,1]=>[1,2,2,3] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,4,5,3,6,7,8,1]=>[3,4,1]=>[1,4,3] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,4,5,3,8,7,6,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,6,3,1,7,8]=>[4,1,3]=>[3,1,4] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,7,3,1,8]=>[5,1,2]=>[2,1,5] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,3,8,1]=>[5,2,1]=>[1,2,5] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,3,1]=>[6,1,1]=>[1,1,6] [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[2,4,5,7,6,3,1,8]=>[4,1,1,2]=>[2,1,1,4] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,4,5,7,6,3,8,1]=>[4,1,2,1]=>[1,2,1,4] [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,7,8,6,3,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,4,6,5,3,1,7,8]=>[3,1,1,3]=>[3,1,1,3] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,5,3,1,8,7]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,6,5,3,8,7,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,5,7,3,8,1]=>[3,2,2,1]=>[1,2,2,3] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,6,5,8,7,3,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,4,6,7,5,3,1,8]=>[4,1,1,2]=>[2,1,1,4] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,4,6,7,5,3,8,1]=>[4,1,2,1]=>[1,2,1,4] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,4,6,7,8,5,3,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,7,5,3,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,4,7,6,5,3,1,8]=>[3,1,1,1,2]=>[2,1,1,1,3] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,4,7,6,5,8,3,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,4,7,8,6,5,3,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,4,8,7,6,5,3,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[2,1,1,4]=>[4,1,1,2] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,5,4,3,1,6,8,7]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,5,4,3,1,7,6,8]=>[2,1,1,2,2]=>[2,2,1,1,2] [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,4,3,1,7,8,6]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,4,3,1,8,7,6]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,5,4,3,6,1,7,8]=>[2,1,2,3]=>[3,2,1,2] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,4,3,6,1,8,7]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,4,3,6,7,1,8]=>[2,1,3,2]=>[2,3,1,2] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]=>[2,1,4,1]=>[1,4,1,2] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,7,8,6,1]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,4,3,8,7,6,1]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,5,4,6,3,1,7,8]=>[2,2,1,3]=>[3,1,2,2] [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,5,4,6,3,7,1,8]=>[2,2,2,2]=>[2,2,2,2] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,5,4,6,3,7,8,1]=>[2,2,3,1]=>[1,3,2,2] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,5,4,6,7,3,8,1]=>[2,3,2,1]=>[1,2,3,2] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,5,4,7,6,3,1,8]=>[2,2,1,1,2]=>[2,1,1,2,2] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,5,4,7,6,3,8,1]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,5,4,8,7,6,3,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,5,6,4,3,1,8,7]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,5,6,4,7,3,1,8]=>[3,2,1,2]=>[2,1,2,3] [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,5,6,4,7,3,8,1]=>[3,2,2,1]=>[1,2,2,3] [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,5,6,4,8,7,3,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,5,6,7,4,3,1,8]=>[4,1,1,2]=>[2,1,1,4] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,8,4,3,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,5,6,8,7,4,3,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,5,7,6,4,3,8,1]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,5,7,6,8,4,3,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,5,7,8,6,4,3,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,6,5,4,3,1,8,7]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,6,5,4,3,7,1,8]=>[2,1,1,2,2]=>[2,2,1,1,2] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,6,5,4,3,8,7,1]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,6,5,4,7,8,3,1]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,6,5,7,4,3,1,8]=>[2,2,1,1,2]=>[2,1,1,2,2] [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,6,5,7,4,8,3,1]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,6,5,7,8,4,3,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,6,5,8,7,4,3,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,6,7,5,4,8,3,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,6,7,5,8,4,3,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,6,7,8,5,4,3,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,6,8,7,5,4,3,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,6,5,4,3,1,8]=>[2,1,1,1,1,2]=>[2,1,1,1,1,2] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,7,6,5,4,3,8,1]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,7,6,5,4,8,3,1]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,7,6,5,8,4,3,1]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,7,6,8,5,4,3,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>[1,1,6]=>[6,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,8,7]=>[1,1,5,1]=>[1,5,1,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,5,7,6,8]=>[1,1,4,2]=>[2,4,1,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>[1,1,5,1]=>[1,5,1,1] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[1,1,4,1,1]=>[1,1,4,1,1] [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,2,1,4,6,5,7,8]=>[1,1,3,3]=>[3,3,1,1] [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,2,1,4,6,5,8,7]=>[1,1,3,2,1]=>[1,2,3,1,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,2,1,4,6,7,5,8]=>[1,1,4,2]=>[2,4,1,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>[1,1,5,1]=>[1,5,1,1] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>[1,1,4,1,1]=>[1,1,4,1,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[1,1,3,1,2]=>[2,1,3,1,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,2,1,4,7,6,8,5]=>[1,1,3,2,1]=>[1,2,3,1,1] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,7,8,6,5]=>[1,1,4,1,1]=>[1,1,4,1,1] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,5,4,6,8,7]=>[1,1,2,3,1]=>[1,3,2,1,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[1,1,2,2,2]=>[2,2,2,1,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,2,1,5,4,7,8,6]=>[1,1,2,3,1]=>[1,3,2,1,1] [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,2,1,5,4,8,7,6]=>[1,1,2,2,1,1]=>[1,1,2,2,1,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>[1,1,3,3]=>[3,3,1,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,2,1,5,6,4,8,7]=>[1,1,3,2,1]=>[1,2,3,1,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,5,6,7,4,8]=>[1,1,4,2]=>[2,4,1,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>[1,1,5,1]=>[1,5,1,1] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>[1,1,4,1,1]=>[1,1,4,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]=>[1,1,3,1,2]=>[2,1,3,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,1,5,7,6,8,4]=>[1,1,3,2,1]=>[1,2,3,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,7,8,6,4]=>[1,1,4,1,1]=>[1,1,4,1,1] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>[1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,2,1,6,5,4,7,8]=>[1,1,2,1,3]=>[3,1,2,1,1] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,2,1,6,5,4,8,7]=>[1,1,2,1,2,1]=>[1,2,1,2,1,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>[1,1,2,3,1]=>[1,3,2,1,1] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[1,1,2,2,1,1]=>[1,1,2,2,1,1] [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,2,1,6,7,5,4,8]=>[1,1,3,1,2]=>[2,1,3,1,1] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,1,6,7,5,8,4]=>[1,1,3,2,1]=>[1,2,3,1,1] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,6,7,8,5,4]=>[1,1,4,1,1]=>[1,1,4,1,1] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,2,1,6,8,7,5,4]=>[1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,7,6,5,4,8]=>[1,1,2,1,1,2]=>[2,1,1,2,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,1,7,6,5,8,4]=>[1,1,2,1,2,1]=>[1,2,1,2,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,2,1,7,6,8,5,4]=>[1,1,2,2,1,1]=>[1,1,2,2,1,1] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,7,8,6,5,4]=>[1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[1,2,5]=>[5,2,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]=>[1,2,4,1]=>[1,4,2,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,2,4,1,5,7,6,8]=>[1,2,3,2]=>[2,3,2,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>[1,2,4,1]=>[1,4,2,1] [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]=>[1,2,3,1,1]=>[1,1,3,2,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>[1,2,2,3]=>[3,2,2,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,2,4,1,6,7,5,8]=>[1,2,3,2]=>[2,3,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>[1,2,4,1]=>[1,4,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[1,2,3,1,1]=>[1,1,3,2,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,2,4,1,7,6,5,8]=>[1,2,2,1,2]=>[2,1,2,2,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,7,8,6,5]=>[1,2,3,1,1]=>[1,1,3,2,1] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>[1,3,4]=>[4,3,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,5,1,7,6,8]=>[1,3,2,2]=>[2,2,3,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,5,1,7,8,6]=>[1,3,3,1]=>[1,3,3,1] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,5,1,8,7,6]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>[1,6,1]=>[1,6,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,7,6,8,1]=>[1,4,2,1]=>[1,2,4,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,2,4,6,7,5,1,8]=>[1,4,1,2]=>[2,1,4,1] [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,2,4,6,7,8,5,1]=>[1,5,1,1]=>[1,1,5,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,2,4,8,7,6,5,1]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>[1,2,1,4]=>[4,1,2,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]=>[1,2,1,3,1]=>[1,3,1,2,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>[1,2,1,2,2]=>[2,2,1,2,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]=>[1,2,1,3,1]=>[1,3,1,2,1] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]=>[1,2,4,1]=>[1,4,2,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[1,2,2,1,2]=>[2,1,2,2,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,5,6,4,1,8,7]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,5,6,7,4,8,1]=>[1,4,2,1]=>[1,2,4,1] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,8,4,1]=>[1,5,1,1]=>[1,1,5,1] [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,5,6,8,7,4,1]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,5,7,6,4,1,8]=>[1,3,1,1,2]=>[2,1,1,3,1] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,5,7,6,8,4,1]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,5,8,7,6,4,1]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,2,6,5,4,7,1,8]=>[1,2,1,2,2]=>[2,2,1,2,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,7,4,8,1]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,2,6,5,7,8,4,1]=>[1,2,3,1,1]=>[1,1,3,2,1] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,2,6,5,8,7,4,1]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,6,7,5,4,1,8]=>[1,3,1,1,2]=>[2,1,1,3,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,6,7,5,4,8,1]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,2,6,7,5,8,4,1]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,6,8,7,5,4,1]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>[1,2,1,1,1,2]=>[2,1,1,1,2,1] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,2,7,6,5,8,4,1]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>[1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8]=>[2,1,5]=>[5,1,2] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,4,2,1,5,8,7,6]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,2,1,6,5,8,7]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4,2,1,6,7,8,5]=>[2,1,4,1]=>[1,4,1,2] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,4,2,1,6,8,7,5]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,4,2,1,7,6,8,5]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,7,8,6,5]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,2,1,8,7,6,5]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,4,2,5,1,6,7,8]=>[2,2,4]=>[4,2,2] [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,4,2,5,1,6,8,7]=>[2,2,3,1]=>[1,3,2,2] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,4,2,5,1,7,6,8]=>[2,2,2,2]=>[2,2,2,2] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,4,2,5,1,7,8,6]=>[2,2,3,1]=>[1,3,2,2] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,4,2,5,1,8,7,6]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,4,2,5,6,1,8,7]=>[2,3,2,1]=>[1,2,3,2] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,7,1,8]=>[2,4,2]=>[2,4,2] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,8,1]=>[2,5,1]=>[1,5,2] [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,4,2,5,6,8,7,1]=>[2,4,1,1]=>[1,1,4,2] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,4,2,5,7,8,6,1]=>[2,4,1,1]=>[1,1,4,2] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,4,2,5,8,7,6,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,4,2,6,5,1,7,8]=>[2,2,1,3]=>[3,1,2,2] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,4,2,6,5,1,8,7]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,4,2,6,5,7,1,8]=>[2,2,2,2]=>[2,2,2,2] [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,4,2,6,5,7,8,1]=>[2,2,3,1]=>[1,3,2,2] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,4,2,6,7,5,1,8]=>[2,3,1,2]=>[2,1,3,2] [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,4,2,6,7,8,5,1]=>[2,4,1,1]=>[1,1,4,2] [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,6,8,7,5,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,4,2,7,6,5,1,8]=>[2,2,1,1,2]=>[2,1,1,2,2] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,4,2,7,6,5,8,1]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,4,2,7,6,8,5,1]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,4,2,7,8,6,5,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,2,8,7,6,5,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,5,2,1,6,7,8]=>[3,1,4]=>[4,1,3] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,5,2,1,6,8,7]=>[3,1,3,1]=>[1,3,1,3] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,5,2,1,7,6,8]=>[3,1,2,2]=>[2,2,1,3] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,5,2,1,7,8,6]=>[3,1,3,1]=>[1,3,1,3] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,5,2,1,8,7,6]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,5,2,6,1,7,8]=>[3,2,3]=>[3,2,3] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,5,2,6,1,8,7]=>[3,2,2,1]=>[1,2,2,3] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,5,2,6,7,1,8]=>[3,3,2]=>[2,3,3] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,5,2,6,7,8,1]=>[3,4,1]=>[1,4,3] [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,5,2,6,8,7,1]=>[3,3,1,1]=>[1,1,3,3] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,5,2,7,6,1,8]=>[3,2,1,2]=>[2,1,2,3] [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,5,2,7,6,8,1]=>[3,2,2,1]=>[1,2,2,3] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,5,2,7,8,6,1]=>[3,3,1,1]=>[1,1,3,3] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,2,8,7,6,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,6,2,1,7,8]=>[4,1,3]=>[3,1,4] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,6,2,1,8,7]=>[4,1,2,1]=>[1,2,1,4] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,6,2,7,1,8]=>[4,2,2]=>[2,2,4] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,6,2,7,8,1]=>[4,3,1]=>[1,3,4] [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,5,7,8,6,2,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,7,6,2,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,4,6,5,2,7,1,8]=>[3,1,2,2]=>[2,2,1,3] [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,4,6,5,7,2,8,1]=>[3,2,2,1]=>[1,2,2,3] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,4,6,5,7,8,2,1]=>[3,3,1,1]=>[1,1,3,3] [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,4,6,7,5,2,8,1]=>[4,1,2,1]=>[1,2,1,4] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,4,6,7,8,5,2,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,4,7,6,5,2,1,8]=>[3,1,1,1,2]=>[2,1,1,1,3] [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,4,7,6,5,2,8,1]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,4,7,6,5,8,2,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,4,7,6,8,5,2,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,8,7,6,5,2,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,5,4,2,1,6,7,8]=>[2,1,1,4]=>[4,1,1,2] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,5,4,2,1,6,8,7]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,5,4,2,1,7,6,8]=>[2,1,1,2,2]=>[2,2,1,1,2] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,5,4,2,1,7,8,6]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,5,4,2,1,8,7,6]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,5,4,2,6,1,7,8]=>[2,1,2,3]=>[3,2,1,2] [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,5,4,2,6,1,8,7]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,5,4,2,6,7,1,8]=>[2,1,3,2]=>[2,3,1,2] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,5,4,2,6,7,8,1]=>[2,1,4,1]=>[1,4,1,2] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,5,4,2,7,6,1,8]=>[2,1,2,1,2]=>[2,1,2,1,2] [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,4,6,2,1,8,7]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,5,4,6,2,7,1,8]=>[2,2,2,2]=>[2,2,2,2] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,5,4,6,2,7,8,1]=>[2,2,3,1]=>[1,3,2,2] [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,5,4,6,7,2,8,1]=>[2,3,2,1]=>[1,2,3,2] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,5,4,7,6,2,1,8]=>[2,2,1,1,2]=>[2,1,1,2,2] [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,5,4,7,6,2,8,1]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,4,7,6,8,2,1]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,5,6,4,2,1,7,8]=>[3,1,1,3]=>[3,1,1,3] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,4,2,1,8,7]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,5,6,4,2,7,8,1]=>[3,1,3,1]=>[1,3,1,3] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,5,6,4,2,8,7,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,5,6,4,7,2,1,8]=>[3,2,1,2]=>[2,1,2,3] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,5,6,4,7,2,8,1]=>[3,2,2,1]=>[1,2,2,3] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,5,6,4,7,8,2,1]=>[3,3,1,1]=>[1,1,3,3] [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,5,6,7,4,2,1,8]=>[4,1,1,2]=>[2,1,1,4] [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,5,6,7,4,2,8,1]=>[4,1,2,1]=>[1,2,1,4] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,4,2,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,5,6,8,7,4,2,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,5,7,6,4,2,1,8]=>[3,1,1,1,2]=>[2,1,1,1,3] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,5,7,6,4,2,8,1]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,5,7,6,4,8,2,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,6,4,2,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,5,8,7,6,4,2,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,6,5,4,2,1,7,8]=>[2,1,1,1,3]=>[3,1,1,1,2] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,6,5,4,2,1,8,7]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,6,5,4,2,7,1,8]=>[2,1,1,2,2]=>[2,2,1,1,2] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,6,5,4,2,7,8,1]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,6,5,4,2,8,7,1]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,6,5,4,7,2,8,1]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,6,5,7,4,2,8,1]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,6,5,7,4,8,2,1]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,6,5,7,8,4,2,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,6,5,8,7,4,2,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,6,7,5,4,8,2,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,6,7,5,8,4,2,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,7,6,5,4,2,8,1]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,7,6,5,4,8,2,1]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,7,6,5,8,4,2,1]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,7,6,8,5,4,2,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,7,8,6,5,4,2,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,8,7,6,5,4,2,1]=>[2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[1,1,1,5]=>[5,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[1,1,1,4,1]=>[1,4,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>[1,1,1,3,2]=>[2,3,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[1,1,1,4,1]=>[1,4,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>[1,1,1,3,1,1]=>[1,1,3,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[1,1,1,2,3]=>[3,2,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[1,1,1,2,2,1]=>[1,2,2,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>[1,1,1,3,2]=>[2,3,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[1,1,1,4,1]=>[1,4,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[1,1,1,3,1,1]=>[1,1,3,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>[1,1,1,2,1,2]=>[2,1,2,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[1,1,1,2,2,1]=>[1,2,2,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,7,8,6,5]=>[1,1,1,3,1,1]=>[1,1,3,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>[1,1,2,4]=>[4,2,1,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,3,2,5,1,6,8,7]=>[1,1,2,3,1]=>[1,3,2,1,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,3,2,5,1,7,6,8]=>[1,1,2,2,2]=>[2,2,2,1,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,3,2,5,1,7,8,6]=>[1,1,2,3,1]=>[1,3,2,1,1] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>[1,1,2,2,1,1]=>[1,1,2,2,1,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,3,2,5,6,1,7,8]=>[1,1,3,3]=>[3,3,1,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,3,2,5,6,1,8,7]=>[1,1,3,2,1]=>[1,2,3,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>[1,1,5,1]=>[1,5,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>[1,1,4,1,1]=>[1,1,4,1,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,3,2,5,7,6,1,8]=>[1,1,3,1,2]=>[2,1,3,1,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,3,2,5,7,6,8,1]=>[1,1,3,2,1]=>[1,2,3,1,1] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>[1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>[1,1,2,1,3]=>[3,1,2,1,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,3,2,6,5,7,8,1]=>[1,1,2,3,1]=>[1,3,2,1,1] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,3,2,6,5,8,7,1]=>[1,1,2,2,1,1]=>[1,1,2,2,1,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,6,7,5,8,1]=>[1,1,3,2,1]=>[1,2,3,1,1] [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,6,7,8,5,1]=>[1,1,4,1,1]=>[1,1,4,1,1] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,6,8,7,5,1]=>[1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,2,7,6,5,1,8]=>[1,1,2,1,1,2]=>[2,1,1,2,1,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]=>[1,1,2,1,2,1]=>[1,2,1,2,1,1] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,3,5,2,1,6,7,8]=>[1,2,1,4]=>[4,1,2,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,3,5,2,1,7,6,8]=>[1,2,1,2,2]=>[2,2,1,2,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[4,3,5,2,1,7,8,6]=>[1,2,1,3,1]=>[1,3,1,2,1] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,3,5,2,1,8,7,6]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,3,5,2,6,1,7,8]=>[1,2,2,3]=>[3,2,2,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,8,7]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,3,5,2,6,7,8,1]=>[1,2,4,1]=>[1,4,2,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,8,1]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,3,5,6,2,1,7,8]=>[1,3,1,3]=>[3,1,3,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,3,5,6,2,1,8,7]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,8,2,1]=>[1,5,1,1]=>[1,1,5,1] [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,3,5,7,6,2,1,8]=>[1,3,1,1,2]=>[2,1,1,3,1] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,3,5,7,6,8,2,1]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,7,8,6,2,1]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,3,6,5,2,1,7,8]=>[1,2,1,1,3]=>[3,1,1,2,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,3,6,5,2,1,8,7]=>[1,2,1,1,2,1]=>[1,2,1,1,2,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,3,6,5,2,7,1,8]=>[1,2,1,2,2]=>[2,2,1,2,1] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,3,6,5,2,8,7,1]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,7,2,8,1]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,8,7,2,1]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,3,6,7,5,2,8,1]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,6,7,8,5,2,1]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,3,6,8,7,5,2,1]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,7,6,5,2,1,8]=>[1,2,1,1,1,2]=>[2,1,1,1,2,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,7,6,5,2,8,1]=>[1,2,1,1,2,1]=>[1,2,1,1,2,1] [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,7,6,5,8,2,1]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,7,6,8,5,2,1]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,7,8,6,5,2,1]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,3,8,7,6,5,2,1]=>[1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,3,2,1,6,7,8]=>[2,1,1,4]=>[4,1,1,2] [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[4,5,3,2,1,6,8,7]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,5,3,2,1,7,6,8]=>[2,1,1,2,2]=>[2,2,1,1,2] [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,5,3,2,1,7,8,6]=>[2,1,1,3,1]=>[1,3,1,1,2] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,3,2,1,8,7,6]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[4,5,3,2,6,1,7,8]=>[2,1,2,3]=>[3,2,1,2] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,5,3,2,6,1,8,7]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[4,5,3,2,6,7,1,8]=>[2,1,3,2]=>[2,3,1,2] [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,5,3,2,6,7,8,1]=>[2,1,4,1]=>[1,4,1,2] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,5,3,2,7,6,1,8]=>[2,1,2,1,2]=>[2,1,2,1,2] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,5,3,2,7,6,8,1]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,5,3,2,7,8,6,1]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,3,2,8,7,6,1]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,5,3,6,2,1,7,8]=>[2,2,1,3]=>[3,1,2,2] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,5,3,6,2,1,8,7]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,5,3,6,2,7,1,8]=>[2,2,2,2]=>[2,2,2,2] [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,5,3,6,7,8,2,1]=>[2,4,1,1]=>[1,1,4,2] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,6,8,7,2,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,5,3,7,6,2,1,8]=>[2,2,1,1,2]=>[2,1,1,2,2] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,3,7,6,8,2,1]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,6,3,2,1,7,8]=>[3,1,1,3]=>[3,1,1,3] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,3,2,1,8,7]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,6,3,2,8,7,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,6,3,7,2,1,8]=>[3,2,1,2]=>[2,1,2,3] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,6,3,7,2,8,1]=>[3,2,2,1]=>[1,2,2,3] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,6,3,8,7,2,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,3,2,1,8]=>[4,1,1,2]=>[2,1,1,4] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,7,3,2,8,1]=>[4,1,2,1]=>[1,2,1,4] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,7,3,8,2,1]=>[4,2,1,1]=>[1,1,2,4] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[5,1,1,1]=>[1,1,1,5] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,7,3,2,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,5,7,6,3,2,1,8]=>[3,1,1,1,2]=>[2,1,1,1,3] [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,5,7,6,3,2,8,1]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,6,3,8,2,1]=>[3,1,2,1,1]=>[1,1,2,1,3] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,5,7,6,8,3,2,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,6,3,2,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,5,8,7,6,3,2,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,6,5,3,2,1,8,7]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,6,5,3,2,8,7,1]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,6,5,3,7,2,1,8]=>[2,1,2,1,2]=>[2,1,2,1,2] [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,6,5,3,7,2,8,1]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,6,5,3,7,8,2,1]=>[2,1,3,1,1]=>[1,1,3,1,2] [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,6,5,3,8,7,2,1]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,6,5,7,3,2,1,8]=>[2,2,1,1,2]=>[2,1,1,2,2] [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,6,5,7,3,2,8,1]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,6,5,7,3,8,2,1]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,5,7,8,3,2,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,6,5,8,7,3,2,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,6,7,5,3,2,1,8]=>[3,1,1,1,2]=>[2,1,1,1,3] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,5,8,3,2,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,6,7,8,5,3,2,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,7,5,3,2,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,6,5,3,2,1,8]=>[2,1,1,1,1,2]=>[2,1,1,1,1,2] [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,7,6,5,3,2,8,1]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,7,6,5,3,8,2,1]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,7,6,5,8,3,2,1]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,7,6,8,5,3,2,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,7,8,6,5,3,2,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,7,6,5,3,2,1]=>[2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,3,1]=>[1,3,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[1,1,1,1,3,1]=>[1,3,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>[1,1,1,2,3]=>[3,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[1,1,1,2,2,1]=>[1,2,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[1,1,1,3,2]=>[2,3,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[1,1,1,4,1]=>[1,4,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>[1,1,1,3,1,1]=>[1,1,3,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[1,1,1,2,1,2]=>[2,1,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]=>[1,1,1,2,2,1]=>[1,2,2,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,7,8,6,1]=>[1,1,1,3,1,1]=>[1,1,3,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,4,3,6,2,1,7,8]=>[1,1,2,1,3]=>[3,1,2,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,4,3,6,2,1,8,7]=>[1,1,2,1,2,1]=>[1,2,1,2,1,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,4,3,6,2,7,1,8]=>[1,1,2,2,2]=>[2,2,2,1,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,4,3,6,2,7,8,1]=>[1,1,2,3,1]=>[1,3,2,1,1] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,4,3,6,2,8,7,1]=>[1,1,2,2,1,1]=>[1,1,2,2,1,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,4,3,6,7,2,1,8]=>[1,1,3,1,2]=>[2,1,3,1,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,4,3,6,7,2,8,1]=>[1,1,3,2,1]=>[1,2,3,1,1] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,4,3,6,8,7,2,1]=>[1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,4,3,7,6,2,8,1]=>[1,1,2,1,2,1]=>[1,2,1,2,1,1] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,4,3,7,6,8,2,1]=>[1,1,2,2,1,1]=>[1,1,2,2,1,1] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,4,3,7,8,6,2,1]=>[1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,4,3,8,7,6,2,1]=>[1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,4,6,3,2,1,7,8]=>[1,2,1,1,3]=>[3,1,1,2,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,4,6,3,2,1,8,7]=>[1,2,1,1,2,1]=>[1,2,1,1,2,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,4,6,3,2,7,1,8]=>[1,2,1,2,2]=>[2,2,1,2,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,4,6,3,2,7,8,1]=>[1,2,1,3,1]=>[1,3,1,2,1] [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,4,6,3,2,8,7,1]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,4,6,3,7,2,1,8]=>[1,2,2,1,2]=>[2,1,2,2,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,7,2,8,1]=>[1,2,2,2,1]=>[1,2,2,2,1] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,4,6,3,8,7,2,1]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,4,6,7,3,2,1,8]=>[1,3,1,1,2]=>[2,1,1,3,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,4,6,7,3,2,8,1]=>[1,3,1,2,1]=>[1,2,1,3,1] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,4,6,7,3,8,2,1]=>[1,3,2,1,1]=>[1,1,2,3,1] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[1,4,1,1,1]=>[1,1,1,4,1] [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,4,6,8,7,3,2,1]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,4,7,6,3,2,1,8]=>[1,2,1,1,1,2]=>[2,1,1,1,2,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,4,7,6,3,2,8,1]=>[1,2,1,1,2,1]=>[1,2,1,1,2,1] [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,4,7,6,3,8,2,1]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,4,7,6,8,3,2,1]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,4,7,8,6,3,2,1]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,4,8,7,6,3,2,1]=>[1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,6,4,3,2,1,7,8]=>[2,1,1,1,3]=>[3,1,1,1,2] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,6,4,3,2,1,8,7]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,6,4,3,7,2,1,8]=>[2,1,2,1,2]=>[2,1,2,1,2] [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,6,4,3,7,2,8,1]=>[2,1,2,2,1]=>[1,2,2,1,2] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,6,4,3,8,7,2,1]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,6,4,7,3,2,1,8]=>[2,2,1,1,2]=>[2,1,1,2,2] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,6,4,7,3,2,8,1]=>[2,2,1,2,1]=>[1,2,1,2,2] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,6,4,7,3,8,2,1]=>[2,2,2,1,1]=>[1,1,2,2,2] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[2,3,1,1,1]=>[1,1,1,3,2] [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,6,4,8,7,3,2,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,4,3,2,1,8]=>[3,1,1,1,2]=>[2,1,1,1,3] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,6,7,4,3,2,8,1]=>[3,1,1,2,1]=>[1,2,1,1,3] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[3,2,1,1,1]=>[1,1,1,2,3] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[4,1,1,1,1]=>[1,1,1,1,4] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,7,4,3,2,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,6,4,3,2,1,8]=>[2,1,1,1,1,2]=>[2,1,1,1,1,2] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,7,6,4,3,2,8,1]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,7,6,4,3,8,2,1]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,7,6,4,8,3,2,1]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,7,6,8,4,3,2,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,7,8,6,4,3,2,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,8,7,6,4,3,2,1]=>[2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,5,4,3,2,7,1,8]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[1,1,1,1,3,1]=>[1,3,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>[1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,5,4,3,7,2,1,8]=>[1,1,1,2,1,2]=>[2,1,2,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,5,4,3,7,2,8,1]=>[1,1,1,2,2,1]=>[1,2,2,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[1,1,1,3,1,1]=>[1,1,3,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,5,4,3,8,7,2,1]=>[1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,5,4,7,3,2,1,8]=>[1,1,2,1,1,2]=>[2,1,1,2,1,1] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,5,4,7,3,8,2,1]=>[1,1,2,2,1,1]=>[1,1,2,2,1,1] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,5,4,7,8,3,2,1]=>[1,1,3,1,1,1]=>[1,1,1,3,1,1] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,5,4,8,7,3,2,1]=>[1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,5,7,4,3,2,1,8]=>[1,2,1,1,1,2]=>[2,1,1,1,2,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,5,7,4,3,2,8,1]=>[1,2,1,1,2,1]=>[1,2,1,1,2,1] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,5,7,4,3,8,2,1]=>[1,2,1,2,1,1]=>[1,1,2,1,2,1] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,5,7,4,8,3,2,1]=>[1,2,2,1,1,1]=>[1,1,1,2,2,1] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,5,7,8,4,3,2,1]=>[1,3,1,1,1,1]=>[1,1,1,1,3,1] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,5,8,7,4,3,2,1]=>[1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,5,4,3,2,1,8]=>[2,1,1,1,1,2]=>[2,1,1,1,1,2] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,7,5,4,3,2,8,1]=>[2,1,1,1,2,1]=>[1,2,1,1,1,2] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,7,5,4,3,8,2,1]=>[2,1,1,2,1,1]=>[1,1,2,1,1,2] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,7,5,4,8,3,2,1]=>[2,1,2,1,1,1]=>[1,1,1,2,1,2] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,7,5,8,4,3,2,1]=>[2,2,1,1,1,1]=>[1,1,1,1,2,2] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,5,4,3,2,1]=>[3,1,1,1,1,1]=>[1,1,1,1,1,3] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,7,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,6,5,4,3,8,2,1]=>[1,1,1,1,2,1,1]=>[1,1,2,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,6,5,4,8,3,2,1]=>[1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,6,5,8,4,3,2,1]=>[1,1,2,1,1,1,1]=>[1,1,1,1,2,1,1] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,6,8,5,4,3,2,1]=>[1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,8,7,6,5,4,3]=>[1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1] [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,8,9,7,6,5,4,3]=>[1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,2,1]=>[1,2,1,1,1,1,1,1,1] [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,1,8,7,9,6,5,4,3]=>[1,2,2,1,1,1,1]=>[1,1,1,1,2,2,1] [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,1,7,9,8,6,5,4,3]=>[1,3,1,1,1,1,1]=>[1,1,1,1,1,3,1] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]=>[1,2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2,1] [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,9,10,8,7,6,5,4,3]=>[1,3,1,1,1,1,1,1]=>[1,1,1,1,1,1,3,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[8,1]=>[1,8] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,9,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,7,9,6,5,4,3,2,1]=>[1,2,1,1,1,1,1,1]=>[1,1,1,1,1,1,2,1] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,7,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,2] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1]=>[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]=>[1,2,3,4,5,6,7,8,9]=>[9]=>[9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[8,1]=>[1,8] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[8,1]=>[1,8] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[8,1]=>[1,8] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[10]=>[10] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[9,1]=>[1,9] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[9,1]=>[1,9] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[9,1]=>[1,9] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11]=>[11] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]=>[6,1,1,1,1]=>[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]=>[1,2,3,4,10,9,8,7,6,5]=>[5,1,1,1,1,1]=>[1,1,1,1,1,5] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[2,7]=>[7,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[1,8]=>[8,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[1,2,6]=>[6,2,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[8,2]=>[2,8] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]=>[6,4]=>[4,6] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]=>[4,6]=>[6,4] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[2,8]=>[8,2] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[1,9]=>[9,1] [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]=>[1,1,1,2,1,1,1,1,1]=>[1,1,1,1,1,2,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]=>[1,1,1,1,1,2,1,1,1]=>[1,1,1,2,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]=>[2,7]=>[7,2] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9]=>[3,6]=>[6,3] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9]=>[4,5]=>[5,4] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9]=>[5,4]=>[4,5] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>[6,3]=>[3,6] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>[7,2]=>[2,7] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]=>[2,8]=>[8,2] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9,10]=>[3,7]=>[7,3] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9,10]=>[4,6]=>[6,4] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9,10]=>[5,5]=>[5,5] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9,10]=>[6,4]=>[4,6] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,1,9,10]=>[7,3]=>[3,7] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[8,2]=>[2,8] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[2,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,2] [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,10,9,8,7,5,4,3,2,1]=>[2,1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[6,2,1]=>[1,2,6] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]=>[1,7,1]=>[1,7,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,6,1,8,7,9]=>[5,2,2]=>[2,2,5] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,5,1,7,6,8,9]=>[4,2,3]=>[3,2,4] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,6,5,7,8,9]=>[3,2,4]=>[4,2,3] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8,9]=>[2,2,5]=>[5,2,2] [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[5,1,1,1,1,1]=>[1,1,1,1,1,5] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10,11]=>[2,9]=>[9,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,9,4]=>[2,6,1]=>[1,6,2] [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,1,7,8,9,10,6,5,4,3]=>[1,5,1,1,1,1]=>[1,1,1,1,5,1]