=>

[1,0]=>[1]=>[1]=>{{1}} [1,0,1,0]=>[2,1]=>[1,2]=>{{1},{2}} [1,1,0,0]=>[1,2]=>[2,1]=>{{1,2}} [1,0,1,0,1,0]=>[3,2,1]=>[1,2,3]=>{{1},{2},{3}} [1,0,1,1,0,0]=>[2,3,1]=>[1,3,2]=>{{1},{2,3}} [1,1,0,0,1,0]=>[3,1,2]=>[2,1,3]=>{{1,2},{3}} [1,1,0,1,0,0]=>[2,1,3]=>[3,1,2]=>{{1,2,3}} [1,1,1,0,0,0]=>[1,2,3]=>[3,2,1]=>{{1,3},{2}} [1,0,1,0,1,0,1,0]=>[4,3,2,1]=>[1,2,3,4]=>{{1},{2},{3},{4}} [1,0,1,0,1,1,0,0]=>[3,4,2,1]=>[1,2,4,3]=>{{1},{2},{3,4}} [1,0,1,1,0,0,1,0]=>[4,2,3,1]=>[1,3,2,4]=>{{1},{2,3},{4}} [1,0,1,1,0,1,0,0]=>[3,2,4,1]=>[1,4,2,3]=>{{1},{2,3,4}} [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[1,4,3,2]=>{{1},{2,4},{3}} [1,1,0,0,1,0,1,0]=>[4,3,1,2]=>[2,1,3,4]=>{{1,2},{3},{4}} [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[2,1,4,3]=>{{1,2},{3,4}} [1,1,0,1,0,0,1,0]=>[4,2,1,3]=>[3,1,2,4]=>{{1,2,3},{4}} [1,1,0,1,0,1,0,0]=>[3,2,1,4]=>[4,1,2,3]=>{{1,2,3,4}} [1,1,0,1,1,0,0,0]=>[2,3,1,4]=>[4,1,3,2]=>{{1,2,4},{3}} [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[3,2,1,4]=>{{1,3},{2},{4}} [1,1,1,0,0,1,0,0]=>[3,1,2,4]=>[4,2,1,3]=>{{1,3,4},{2}} [1,1,1,0,1,0,0,0]=>[2,1,3,4]=>[4,3,1,2]=>{{1,2,3,4}} [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[4,3,2,1]=>{{1,4},{2,3}} [1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [1,0,1,0,1,0,1,1,0,0]=>[4,5,3,2,1]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}} [1,0,1,0,1,1,0,0,1,0]=>[5,3,4,2,1]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}} [1,0,1,0,1,1,0,1,0,0]=>[4,3,5,2,1]=>[1,2,5,3,4]=>{{1},{2},{3,4,5}} [1,0,1,0,1,1,1,0,0,0]=>[3,4,5,2,1]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}} [1,0,1,1,0,0,1,0,1,0]=>[5,4,2,3,1]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}} [1,0,1,1,0,0,1,1,0,0]=>[4,5,2,3,1]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}} [1,0,1,1,0,1,0,0,1,0]=>[5,3,2,4,1]=>[1,4,2,3,5]=>{{1},{2,3,4},{5}} [1,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1]=>[1,5,2,3,4]=>{{1},{2,3,4,5}} [1,0,1,1,0,1,1,0,0,0]=>[3,4,2,5,1]=>[1,5,2,4,3]=>{{1},{2,3,5},{4}} [1,0,1,1,1,0,0,0,1,0]=>[5,2,3,4,1]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}} [1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1]=>[1,5,3,2,4]=>{{1},{2,4,5},{3}} [1,0,1,1,1,0,1,0,0,0]=>[3,2,4,5,1]=>[1,5,4,2,3]=>{{1},{2,3,4,5}} [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}} [1,1,0,0,1,0,1,0,1,0]=>[5,4,3,1,2]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}} [1,1,0,0,1,0,1,1,0,0]=>[4,5,3,1,2]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}} [1,1,0,0,1,1,0,0,1,0]=>[5,3,4,1,2]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}} [1,1,0,0,1,1,0,1,0,0]=>[4,3,5,1,2]=>[2,1,5,3,4]=>{{1,2},{3,4,5}} [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}} [1,1,0,1,0,0,1,0,1,0]=>[5,4,2,1,3]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}} [1,1,0,1,0,0,1,1,0,0]=>[4,5,2,1,3]=>[3,1,2,5,4]=>{{1,2,3},{4,5}} [1,1,0,1,0,1,0,0,1,0]=>[5,3,2,1,4]=>[4,1,2,3,5]=>{{1,2,3,4},{5}} [1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,5]=>[5,1,2,3,4]=>{{1,2,3,4,5}} [1,1,0,1,0,1,1,0,0,0]=>[3,4,2,1,5]=>[5,1,2,4,3]=>{{1,2,3,5},{4}} [1,1,0,1,1,0,0,0,1,0]=>[5,2,3,1,4]=>[4,1,3,2,5]=>{{1,2,4},{3},{5}} [1,1,0,1,1,0,0,1,0,0]=>[4,2,3,1,5]=>[5,1,3,2,4]=>{{1,2,4,5},{3}} [1,1,0,1,1,0,1,0,0,0]=>[3,2,4,1,5]=>[5,1,4,2,3]=>{{1,2,3,4,5}} [1,1,0,1,1,1,0,0,0,0]=>[2,3,4,1,5]=>[5,1,4,3,2]=>{{1,2,5},{3,4}} [1,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,3]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}} [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}} [1,1,1,0,0,1,0,0,1,0]=>[5,3,1,2,4]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}} [1,1,1,0,0,1,0,1,0,0]=>[4,3,1,2,5]=>[5,2,1,3,4]=>{{1,3,4,5},{2}} [1,1,1,0,0,1,1,0,0,0]=>[3,4,1,2,5]=>[5,2,1,4,3]=>{{1,3,5},{2},{4}} [1,1,1,0,1,0,0,0,1,0]=>[5,2,1,3,4]=>[4,3,1,2,5]=>{{1,2,3,4},{5}} [1,1,1,0,1,0,0,1,0,0]=>[4,2,1,3,5]=>[5,3,1,2,4]=>{{1,2,3,4,5}} [1,1,1,0,1,0,1,0,0,0]=>[3,2,1,4,5]=>[5,4,1,2,3]=>{{1,3,5},{2,4}} [1,1,1,0,1,1,0,0,0,0]=>[2,3,1,4,5]=>[5,4,1,3,2]=>{{1,2,3,4,5}} [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}} [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,3,5]=>[5,3,2,1,4]=>{{1,4,5},{2,3}} [1,1,1,1,0,0,1,0,0,0]=>[3,1,2,4,5]=>[5,4,2,1,3]=>{{1,2,3,4,5}} [1,1,1,1,0,1,0,0,0,0]=>[2,1,3,4,5]=>[5,4,3,1,2]=>{{1,2,4,5},{3}} [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}} [1,0,1,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [1,0,1,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}} [1,0,1,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}} [1,0,1,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}} [1,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}} [1,0,1,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}} [1,0,1,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}} [1,0,1,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}} [1,0,1,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}} [1,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}} [1,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}} [1,0,1,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}} [1,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>{{1},{2},{3,4,5,6}} [1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}} [1,0,1,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}} [1,0,1,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}} [1,0,1,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}} [1,0,1,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}} [1,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}} [1,0,1,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}} [1,0,1,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}} [1,0,1,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}} [1,0,1,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}} [1,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}} [1,0,1,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}} [1,0,1,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}} [1,0,1,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}} [1,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>{{1},{2,3,6},{4,5}} [1,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}} [1,0,1,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}} [1,0,1,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}} [1,0,1,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}} [1,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}} [1,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}} [1,0,1,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>{{1},{2,3,4,5,6}} [1,0,1,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>{{1},{2,4,6},{3,5}} [1,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>{{1},{2,3,4,5,6}} [1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}} [1,0,1,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>{{1},{2,5,6},{3,4}} [1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>{{1},{2,3,4,5,6}} [1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>{{1},{2,3,5,6},{4}} [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}} [1,1,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}} [1,1,0,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}} [1,1,0,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}} [1,1,0,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}} [1,1,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}} [1,1,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}} [1,1,0,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}} [1,1,0,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}} [1,1,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}} [1,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>{{1,2},{3,4,6},{5}} [1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}} [1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}} [1,1,0,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>{{1,2},{3,4,5,6}} [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}} [1,1,0,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}} [1,1,0,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}} [1,1,0,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}} [1,1,0,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}} [1,1,0,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>{{1,2,3},{4,6},{5}} [1,1,0,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}} [1,1,0,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>{{1,2,3,4},{5,6}} [1,1,0,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}} [1,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}} [1,1,0,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}} [1,1,0,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}} [1,1,0,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}} [1,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>{{1,2,3,4,5,6}} [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>{{1,2,3,6},{4,5}} [1,1,0,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}} [1,1,0,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>{{1,2,4},{3},{5,6}} [1,1,0,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}} [1,1,0,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}} [1,1,0,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}} [1,1,0,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>{{1,2,3,4,5},{6}} [1,1,0,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>{{1,2,3,4,5,6}} [1,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>{{1,2,4,6},{3,5}} [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>{{1,2,3,4,5,6}} [1,1,0,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>{{1,2,5},{3,4},{6}} [1,1,0,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>{{1,2,5,6},{3,4}} [1,1,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>{{1,2,3,4,5,6}} [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>{{1,2,3,5,6},{4}} [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>{{1,2,6},{3,5},{4}} [1,1,1,0,0,0,1,0,1,0,1,0]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}} [1,1,1,0,0,0,1,0,1,1,0,0]=>[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}} [1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}} [1,1,1,0,0,0,1,1,0,1,0,0]=>[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}} [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}} [1,1,1,0,0,1,0,0,1,0,1,0]=>[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}} [1,1,1,0,0,1,0,0,1,1,0,0]=>[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>{{1,3,4},{2},{5,6}} [1,1,1,0,0,1,0,1,0,0,1,0]=>[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}} [1,1,1,0,0,1,0,1,0,1,0,0]=>[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}} [1,1,1,0,0,1,0,1,1,0,0,0]=>[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}} [1,1,1,0,0,1,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}} [1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}} [1,1,1,0,0,1,1,0,1,0,0,0]=>[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>{{1,3,4,5,6},{2}} [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>{{1,3,6},{2},{4,5}} [1,1,1,0,1,0,0,0,1,0,1,0]=>[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}} [1,1,1,0,1,0,0,0,1,1,0,0]=>[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>{{1,2,3,4},{5,6}} [1,1,1,0,1,0,0,1,0,0,1,0]=>[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}} [1,1,1,0,1,0,0,1,0,1,0,0]=>[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>{{1,2,3,4,5,6}} [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>{{1,2,3,4,6},{5}} [1,1,1,0,1,0,1,0,0,0,1,0]=>[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}} [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}} [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>{{1,2,3,4,5,6}} [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>{{1,3,6},{2,4,5}} [1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>{{1,2,3,4,5},{6}} [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>{{1,2,3,4,5,6}} [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>{{1,3,4,6},{2,5}} [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>{{1,3,6},{2,5},{4}} [1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>{{1,2,3,5,6},{4}} [1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}} [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}} [1,1,1,1,0,0,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>{{1,4,5},{2,3},{6}} [1,1,1,1,0,0,0,1,0,1,0,0]=>[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>{{1,4,5,6},{2,3}} [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>{{1,4,6},{2,3},{5}} [1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>{{1,2,3,4,5},{6}} [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>{{1,2,3,4,5,6}} [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>{{1,4,6},{2,3,5}} [1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>{{1,2,3,4,5,6}} [1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>{{1,2,4,5},{3},{6}} [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>{{1,2,4,5,6},{3}} [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>{{1,4,6},{2,5},{3}} [1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>{{1,3,4,6},{2,5}} [1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>{{1,2,3,4,5,6}} [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}} [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>{{1,5,6},{2,4},{3}} [1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>{{1,2,4,5,6},{3}} [1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>{{1,2,3,4,5,6}} [1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>{{1,2,5,6},{3,4}} [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}} [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}} [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}} [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}} [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}} [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}} [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}} [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}} [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}} [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}} [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>{{1},{2},{3},{4,6,7},{5}} [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>{{1},{2},{3},{4,5,6,7}} [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}} [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}} [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}} [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}} [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}} [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}} [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}} [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}} [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}} [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}} [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}} [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}} [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}} [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}} [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>{{1},{2},{3,4,7},{5,6}} [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}} [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}} [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>{{1},{2},{3,5,6},{4},{7}} [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>{{1},{2},{3,5,6,7},{4}} [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>{{1},{2},{3,5,7},{4},{6}} [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>{{1},{2},{3,4,5,6},{7}} [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>{{1},{2},{3,4,5,6,7}} [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>{{1},{2},{3,5,7},{4,6}} [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>{{1},{2},{3,4,5,6,7}} [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}} [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>{{1},{2},{3,6,7},{4,5}} [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>{{1},{2},{3,4,5,6,7}} [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>{{1},{2},{3,4,6,7},{5}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}} [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}} [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}} [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}} [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}} [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}} [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}} [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}} [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}} [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}} [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>{{1},{2,3},{4,6,7},{5}} [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>{{1},{2,3},{4,5,6,7}} [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}} [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}} [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}} [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}} [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}} [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>{{1},{2,3,4},{5,7},{6}} [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}} [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}} [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}} [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}} [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}} [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}} [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>{{1},{2,3,4,7},{5,6}} [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}} [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}} [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}} [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}} [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}} [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}} [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}} [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>{{1},{2,3,6},{4,5},{7}} [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>{{1},{2,3,6,7},{4,5}} [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>{{1},{2,3,4,6,7},{5}} [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>{{1},{2,3,7},{4,6},{5}} [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}} [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}} [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}} [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>{{1},{2,4},{3},{5,6,7}} [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}} [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>{{1},{2,4,5},{3},{6},{7}} [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>{{1},{2,4,5},{3},{6,7}} [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>{{1},{2,4,5,6},{3},{7}} [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>{{1},{2,4,5,6,7},{3}} [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>{{1},{2,4,5,7},{3},{6}} [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>{{1},{2,4,6},{3},{5},{7}} [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>{{1},{2,4,6,7},{3},{5}} [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>{{1},{2,4,5,6,7},{3}} [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>{{1},{2,4,7},{3},{5,6}} [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>{{1},{2,3,4,5},{6},{7}} [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>{{1},{2,3,4,5},{6,7}} [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>{{1},{2,3,4,5,6},{7}} [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>{{1},{2,3,4,5,7},{6}} [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>{{1},{2,4,6},{3,5},{7}} [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>{{1},{2,4,6,7},{3,5}} [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>{{1},{2,4,7},{3,5,6}} [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>{{1},{2,3,4,5,6},{7}} [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>{{1},{2,4,5,7},{3,6}} [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>{{1},{2,4,7},{3,6},{5}} [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>{{1},{2,3,4,6,7},{5}} [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}} [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}} [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>{{1},{2,5,6},{3,4},{7}} [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>{{1},{2,5,6,7},{3,4}} [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>{{1},{2,5,7},{3,4},{6}} [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>{{1},{2,3,4,5,6},{7}} [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>{{1},{2,5,7},{3,4,6}} [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>{{1},{2,3,5,6},{4},{7}} [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>{{1},{2,3,5,6,7},{4}} [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>{{1},{2,5,7},{3,6},{4}} [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>{{1},{2,4,5,7},{3,6}} [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}} [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>{{1},{2,6,7},{3,5},{4}} [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>{{1},{2,3,5,6,7},{4}} [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>{{1},{2,3,4,5,6,7}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>{{1},{2,3,6,7},{4,5}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}} [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}} [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}} [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>{{1,2},{3},{4},{5,6,7}} [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}} [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}} [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}} [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>{{1,2},{3},{4,5,6},{7}} [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>{{1,2},{3},{4,5,6,7}} [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>{{1,2},{3},{4,5,7},{6}} [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}} [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>{{1,2},{3},{4,6,7},{5}} [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>{{1,2},{3},{4,5,6,7}} [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}} [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}} [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}} [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}} [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>{{1,2},{3,4},{5,6,7}} [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}} [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>{{1,2},{3,4,5},{6},{7}} [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>{{1,2},{3,4,5},{6,7}} [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>{{1,2},{3,4,5,6},{7}} [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>{{1,2},{3,4,5,6,7}} [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>{{1,2},{3,4,5,7},{6}} [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>{{1,2},{3,4,6},{5},{7}} [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>{{1,2},{3,4,6,7},{5}} [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>{{1,2},{3,4,5,6,7}} [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>{{1,2},{3,4,7},{5,6}} [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}} [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}} [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>{{1,2},{3,5,6},{4},{7}} [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>{{1,2},{3,5,6,7},{4}} [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>{{1,2},{3,5,7},{4},{6}} [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>{{1,2},{3,4,5,6},{7}} [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>{{1,2},{3,4,5,6,7}} [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>{{1,2},{3,5,7},{4,6}} [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>{{1,2},{3,4,5,6,7}} [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}} [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>{{1,2},{3,6,7},{4,5}} [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>{{1,2},{3,4,5,6,7}} [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>{{1,2},{3,4,6,7},{5}} [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}} [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}} [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}} [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>{{1,2,3},{4},{5,6,7}} [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}} [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}} [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>{{1,2,3},{4,5},{6,7}} [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>{{1,2,3},{4,5,6},{7}} [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>{{1,2,3},{4,5,6,7}} [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>{{1,2,3},{4,5,7},{6}} [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}} [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>{{1,2,3},{4,6,7},{5}} [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>{{1,2,3},{4,5,6,7}} [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>{{1,2,3},{4,7},{5,6}} [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}} [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>{{1,2,3,4},{5},{6,7}} [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>{{1,2,3,4},{5,6},{7}} [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>{{1,2,3,4},{5,6,7}} [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>{{1,2,3,4},{5,7},{6}} [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}} [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>{{1,2,3,4,5},{6,7}} [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}} [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>{{1,2,3,4,5,7},{6}} [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>{{1,2,3,4,6},{5},{7}} [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>{{1,2,3,4,6,7},{5}} [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>{{1,2,3,4,5,6,7}} [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>{{1,2,3,4,7},{5,6}} [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>{{1,2,3,5},{4},{6},{7}} [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>{{1,2,3,5},{4},{6,7}} [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>{{1,2,3,5,6},{4},{7}} [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>{{1,2,3,5,6,7},{4}} [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>{{1,2,3,5,7},{4},{6}} [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>{{1,2,3,4,5,6},{7}} [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>{{1,2,3,4,5,6,7}} [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>{{1,2,3,5,7},{4,6}} [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>{{1,2,3,4,5,6,7}} [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>{{1,2,3,6},{4,5},{7}} [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>{{1,2,3,6,7},{4,5}} [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>{{1,2,3,4,5,6,7}} [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>{{1,2,3,4,6,7},{5}} [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>{{1,2,3,7},{4,6},{5}} [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>{{1,2,4},{3},{5},{6},{7}} [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>{{1,2,4},{3},{5},{6,7}} [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>{{1,2,4},{3},{5,6},{7}} [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>{{1,2,4},{3},{5,6,7}} [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>{{1,2,4},{3},{5,7},{6}} [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>{{1,2,4,5},{3},{6},{7}} [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>{{1,2,4,5},{3},{6,7}} [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>{{1,2,4,5,6},{3},{7}} [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>{{1,2,4,5,6,7},{3}} [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>{{1,2,4,5,7},{3},{6}} [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>{{1,2,4,6},{3},{5},{7}} [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>{{1,2,4,6,7},{3},{5}} [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>{{1,2,4,5,6,7},{3}} [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>{{1,2,4,7},{3},{5,6}} [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>{{1,2,3,4,5},{6},{7}} [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>{{1,2,3,4,5},{6,7}} [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>{{1,2,3,4,5,6},{7}} [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>{{1,2,3,4,5,6,7}} [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>{{1,2,3,4,5,7},{6}} [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>{{1,2,4,6},{3,5},{7}} [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>{{1,2,4,6,7},{3,5}} [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>{{1,2,3,4,5,6,7}} [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>{{1,2,4,7},{3,5,6}} [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>{{1,2,3,4,5,6},{7}} [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>{{1,2,3,4,5,6,7}} [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>{{1,2,4,5,7},{3,6}} [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>{{1,2,4,7},{3,6},{5}} [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>{{1,2,3,4,6,7},{5}} [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>{{1,2,5},{3,4},{6},{7}} [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>{{1,2,5},{3,4},{6,7}} [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>{{1,2,5,6},{3,4},{7}} [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>{{1,2,5,6,7},{3,4}} [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>{{1,2,5,7},{3,4},{6}} [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>{{1,2,3,4,5,6},{7}} [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>{{1,2,3,4,5,6,7}} [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>{{1,2,5,7},{3,4,6}} [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>{{1,2,3,4,5,6,7}} [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>{{1,2,3,5,6},{4},{7}} [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>{{1,2,3,5,6,7},{4}} [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>{{1,2,5,7},{3,6},{4}} [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>{{1,2,4,5,7},{3,6}} [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>{{1,2,3,4,5,6,7}} [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>{{1,2,6},{3,5},{4},{7}} [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>{{1,2,6,7},{3,5},{4}} [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>{{1,2,3,5,6,7},{4}} [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>{{1,2,3,4,5,6,7}} [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>{{1,2,3,6,7},{4,5}} [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>{{1,2,7},{3,6},{4,5}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}} [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}} [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}} [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>{{1,3},{2},{4},{5,6,7}} [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}} [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}} [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>{{1,3},{2},{4,5,6},{7}} [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>{{1,3},{2},{4,5,6,7}} [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>{{1,3},{2},{4,5,7},{6}} [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}} [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>{{1,3},{2},{4,6,7},{5}} [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>{{1,3},{2},{4,5,6,7}} [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}} [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>{{1,3,4},{2},{5},{6},{7}} [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>{{1,3,4},{2},{5},{6,7}} [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>{{1,3,4},{2},{5,6},{7}} [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>{{1,3,4},{2},{5,6,7}} [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>{{1,3,4},{2},{5,7},{6}} [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>{{1,3,4,5},{2},{6},{7}} [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>{{1,3,4,5},{2},{6,7}} [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>{{1,3,4,5,6},{2},{7}} [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>{{1,3,4,5,6,7},{2}} [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>{{1,3,4,5,7},{2},{6}} [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>{{1,3,4,6},{2},{5},{7}} [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>{{1,3,4,6,7},{2},{5}} [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>{{1,3,4,5,6,7},{2}} [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>{{1,3,4,7},{2},{5,6}} [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>{{1,3,5},{2},{4},{6},{7}} [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>{{1,3,5},{2},{4},{6,7}} [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>{{1,3,5,6},{2},{4},{7}} [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>{{1,3,5,6,7},{2},{4}} [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>{{1,3,5,7},{2},{4},{6}} [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>{{1,3,4,5,6},{2},{7}} [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>{{1,3,4,5,6,7},{2}} [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>{{1,3,5,7},{2},{4,6}} [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>{{1,3,4,5,6,7},{2}} [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>{{1,3,6},{2},{4,5},{7}} [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>{{1,3,6,7},{2},{4,5}} [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>{{1,3,4,5,6,7},{2}} [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>{{1,3,4,6,7},{2},{5}} [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>{{1,3,7},{2},{4,6},{5}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>{{1,2,3,4},{5},{6},{7}} [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>{{1,2,3,4},{5},{6,7}} [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>{{1,2,3,4},{5,6},{7}} [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>{{1,2,3,4},{5,6,7}} [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>{{1,2,3,4},{5,7},{6}} [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>{{1,2,3,4,5},{6},{7}} [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>{{1,2,3,4,5},{6,7}} [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>{{1,2,3,4,5,6},{7}} [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>{{1,2,3,4,5,6,7}} [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>{{1,2,3,4,5,7},{6}} [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>{{1,2,3,4,6},{5},{7}} [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>{{1,2,3,4,6,7},{5}} [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>{{1,2,3,4,5,6,7}} [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>{{1,2,3,4,7},{5,6}} [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>{{1,3,5},{2,4},{6},{7}} [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>{{1,3,5},{2,4},{6,7}} [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>{{1,3,5,6},{2,4},{7}} [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>{{1,3,5,6,7},{2,4}} [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>{{1,3,5,7},{2,4},{6}} [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>{{1,2,3,4,5,6},{7}} [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>{{1,2,3,4,5,6,7}} [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>{{1,3,5,7},{2,4,6}} [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>{{1,2,3,4,5,6,7}} [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>{{1,3,6},{2,4,5},{7}} [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>{{1,3,6,7},{2,4,5}} [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>{{1,2,3,4,5,6,7}} [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>{{1,2,3,4,6,7},{5}} [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>{{1,3,7},{2,4,6},{5}} [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>{{1,2,3,4,5},{6},{7}} [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>{{1,2,3,4,5},{6,7}} [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>{{1,2,3,4,5,6},{7}} [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>{{1,2,3,4,5,6,7}} [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>{{1,2,3,4,5,7},{6}} [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>{{1,3,4,6},{2,5},{7}} [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>{{1,3,4,6,7},{2,5}} [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>{{1,2,3,4,5,6,7}} [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>{{1,3,4,7},{2,5,6}} [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>{{1,3,6},{2,5},{4},{7}} [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>{{1,3,6,7},{2,5},{4}} [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>{{1,2,3,5,6,7},{4}} [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>{{1,2,3,4,5,6,7}} [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>{{1,3,7},{2,4,5,6}} [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>{{1,2,3,5,6},{4},{7}} [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>{{1,2,3,5,6,7},{4}} [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>{{1,3,5,7},{2,6},{4}} [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>{{1,3,4,5,7},{2,6}} [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>{{1,3,7},{2,6},{4,5}} [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>{{1,2,3,6,7},{4,5}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}} [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}} [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}} [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>{{1,4},{2,3},{5,6,7}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}} [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>{{1,4,5},{2,3},{6},{7}} [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>{{1,4,5},{2,3},{6,7}} [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>{{1,4,5,6},{2,3},{7}} [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>{{1,4,5,6,7},{2,3}} [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>{{1,4,5,7},{2,3},{6}} [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>{{1,4,6},{2,3},{5},{7}} [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>{{1,4,6,7},{2,3},{5}} [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>{{1,4,5,6,7},{2,3}} [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>{{1,4,7},{2,3},{5,6}} [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>{{1,2,3,4,5},{6},{7}} [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>{{1,2,3,4,5},{6,7}} [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>{{1,2,3,4,5,6},{7}} [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>{{1,2,3,4,5,6,7}} [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>{{1,2,3,4,5,7},{6}} [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>{{1,4,6},{2,3,5},{7}} [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>{{1,4,6,7},{2,3,5}} [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>{{1,2,3,4,5,6,7}} [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>{{1,4,7},{2,3,5,6}} [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>{{1,2,3,4,5,6},{7}} [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>{{1,2,3,4,5,6,7}} [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>{{1,4,5,7},{2,3,6}} [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>{{1,4,7},{2,3,6},{5}} [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>{{1,2,3,4,6,7},{5}} [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>{{1,2,4,5},{3},{6},{7}} [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>{{1,2,4,5},{3},{6,7}} [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>{{1,2,4,5,6},{3},{7}} [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>{{1,2,4,5,6,7},{3}} [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>{{1,2,4,5,7},{3},{6}} [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>{{1,4,6},{2,5},{3},{7}} [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>{{1,4,6,7},{2,5},{3}} [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>{{1,2,4,5,6,7},{3}} [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>{{1,4,7},{2,5,6},{3}} [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>{{1,3,4,6},{2,5},{7}} [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>{{1,3,4,6,7},{2,5}} [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>{{1,2,3,4,5,6,7}} [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>{{1,4,7},{2,3,5,6}} [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>{{1,2,3,4,5,6,7}} [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>{{1,2,3,4,5,6},{7}} [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>{{1,2,3,4,5,6,7}} [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>{{1,3,4,5,7},{2,6}} [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>{{1,4,7},{2,6},{3,5}} [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>{{1,3,4,5,7},{2,6}} [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>{{1,2,3,4,5,6,7}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}} [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}} [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>{{1,5,6},{2,4},{3},{7}} [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>{{1,5,6,7},{2,4},{3}} [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>{{1,5,7},{2,4},{3},{6}} [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>{{1,2,4,5,6},{3},{7}} [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>{{1,2,4,5,6,7},{3}} [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>{{1,5,7},{2,4,6},{3}} [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>{{1,2,4,5,6,7},{3}} [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>{{1,2,3,4,5,6},{7}} [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>{{1,2,3,4,5,6,7}} [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>{{1,5,7},{2,3,4,6}} [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>{{1,2,3,4,5,6,7}} [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>{{1,3,5,7},{2,4,6}} [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>{{1,2,5,6},{3,4},{7}} [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>{{1,2,5,6,7},{3,4}} [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>{{1,5,7},{2,6},{3,4}} [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>{{1,3,4,5,7},{2,6}} [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>{{1,3,5,7},{2,6},{4}} [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>{{1,2,3,5,6,7},{4}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}} [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>{{1,6,7},{2,5},{3,4}} [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>{{1,2,5,6,7},{3,4}} [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>{{1,2,3,4,5,6,7}} [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>{{1,2,3,5,6,7},{4}} [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>{{1,2,6,7},{3,5},{4}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,7,8}} [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>{{1},{2},{3},{4},{5},{6,8},{7}} [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]=>{{1},{2},{3},{4},{5,6},{7},{8}} [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]=>{{1},{2},{3},{4},{5,6},{7,8}} [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8]=>{{1},{2},{3},{4},{5,6,7},{8}} [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,6,7,8}} [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]=>{{1},{2},{3},{4},{5,6,8},{7}} [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8]=>{{1},{2},{3},{4},{5,7},{6},{8}} [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]=>{{1},{2},{3},{4},{5,7,8},{6}} [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]=>{{1},{2},{3},{4},{5,6,7,8}} [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>{{1},{2},{3},{4},{5,8},{6,7}} [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}} [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,2,1]=>[1,2,3,5,4,6,8,7]=>{{1},{2},{3},{4,5},{6},{7,8}} [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}} [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,7,8}} [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,3,2,1]=>[1,2,3,5,4,8,7,6]=>{{1},{2},{3},{4,5},{6,8},{7}} [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]=>{{1},{2},{3},{4,5,6},{7},{8}} [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,3,2,1]=>[1,2,3,6,4,5,8,7]=>{{1},{2},{3},{4,5,6},{7,8}} [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]=>{{1},{2},{3},{4,5,6,7},{8}} [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,5,6,7,8}} [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]=>{{1},{2},{3},{4,5,6,8},{7}} [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]=>{{1},{2},{3},{4,5,7},{6},{8}} [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]=>{{1},{2},{3},{4,5,7,8},{6}} [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>{{1},{2},{3},{4,5,6,7,8}} [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]=>{{1},{2},{3},{4,5,8},{6,7}} [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8]=>{{1},{2},{3},{4,6},{5},{7},{8}} [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,7]=>{{1},{2},{3},{4,6},{5},{7,8}} [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6,8]=>{{1},{2},{3},{4,6,7},{5},{8}} [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,2,1]=>[1,2,3,8,5,4,6,7]=>{{1},{2},{3},{4,6,7,8},{5}} [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,3,2,1]=>[1,2,3,8,5,4,7,6]=>{{1},{2},{3},{4,6,8},{5},{7}} [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8]=>{{1},{2},{3},{4,5,6,7},{8}} [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,3,2,1]=>[1,2,3,8,6,4,5,7]=>{{1},{2},{3},{4,5,6,7,8}} [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]=>{{1},{2},{3},{4,6,8},{5,7}} [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]=>{{1},{2},{3},{4,5,6,7,8}} [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8]=>{{1},{2},{3},{4,7},{5,6},{8}} [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,2,1]=>[1,2,3,8,6,5,4,7]=>{{1},{2},{3},{4,7,8},{5,6}} [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,3,2,1]=>[1,2,3,8,7,5,4,6]=>{{1},{2},{3},{4,5,6,7,8}} [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]=>{{1},{2},{3},{4,5,7,8},{6}} [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}} [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]=>{{1},{2},{3,4},{5},{6},{7},{8}} [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]=>{{1},{2},{3,4},{5},{6},{7,8}} [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]=>{{1},{2},{3,4},{5},{6,7},{8}} [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7]=>{{1},{2},{3,4},{5},{6,7,8}} [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,2,1]=>[1,2,4,3,5,8,7,6]=>{{1},{2},{3,4},{5},{6,8},{7}} [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>{{1},{2},{3,4},{5,6},{7},{8}} [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7]=>{{1},{2},{3,4},{5,6},{7,8}} [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,8]=>{{1},{2},{3,4},{5,6,7},{8}} [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,6,7,8}} [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,4,2,1]=>[1,2,4,3,8,5,7,6]=>{{1},{2},{3,4},{5,6,8},{7}} [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,2,1]=>[1,2,4,3,8,7,5,6]=>{{1},{2},{3,4},{5,6,7,8}} [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]=>{{1},{2},{3,4},{5,8},{6,7}} [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8]=>{{1},{2},{3,4,5},{6},{7},{8}} [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,2,1]=>[1,2,5,3,4,6,8,7]=>{{1},{2},{3,4,5},{6},{7,8}} [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,8]=>{{1},{2},{3,4,5},{6,7},{8}} [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7]=>{{1},{2},{3,4,5},{6,7,8}} [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,5,2,1]=>[1,2,5,3,4,8,7,6]=>{{1},{2},{3,4,5},{6,8},{7}} [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>{{1},{2},{3,4,5,6},{7},{8}} [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7]=>{{1},{2},{3,4,5,6},{7,8}} [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8]=>{{1},{2},{3,4,5,6,7},{8}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]=>{{1},{2},{3,4,5,6,8},{7}} [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5,8]=>{{1},{2},{3,4,5,7},{6},{8}} [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,8,2,1]=>[1,2,8,3,4,6,5,7]=>{{1},{2},{3,4,5,7,8},{6}} [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,8,2,1]=>[1,2,8,3,4,7,6,5]=>{{1},{2},{3,4,5,8},{6,7}} [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7,8]=>{{1},{2},{3,4,6},{5},{7},{8}} [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6,8]=>{{1},{2},{3,4,6,7},{5},{8}} [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,8,2,1]=>[1,2,8,3,5,4,6,7]=>{{1},{2},{3,4,6,7,8},{5}} [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,8,2,1]=>[1,2,8,3,5,4,7,6]=>{{1},{2},{3,4,6,8},{5},{7}} [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5,8]=>{{1},{2},{3,4,5,6,7},{8}} [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,8,2,1]=>[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]=>{{1},{2},{3,4,6,8},{5,7}} [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,2,1]=>[1,2,8,3,7,4,6,5]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,8,2,1]=>[1,2,8,3,6,5,4,7]=>{{1},{2},{3,4,7,8},{5,6}} [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,8,2,1]=>[1,2,8,3,7,5,4,6]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]=>{{1},{2},{3,4,5,7,8},{6}} [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]=>{{1},{2},{3,4,8},{5,7},{6}} [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7,8]=>{{1},{2},{3,5},{4},{6},{7},{8}} [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,5,2,1]=>[1,2,5,4,3,6,8,7]=>{{1},{2},{3,5},{4},{6},{7,8}} [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,5,2,1]=>[1,2,5,4,3,8,6,7]=>{{1},{2},{3,5},{4},{6,7,8}} [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,2,1]=>[1,2,5,4,3,8,7,6]=>{{1},{2},{3,5},{4},{6,8},{7}} [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7,8]=>{{1},{2},{3,5,6},{4},{7},{8}} [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6,8]=>{{1},{2},{3,5,6,7},{4},{8}} [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,8,2,1]=>[1,2,8,4,3,5,6,7]=>{{1},{2},{3,5,6,7,8},{4}} [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,8,2,1]=>[1,2,8,4,3,5,7,6]=>{{1},{2},{3,5,6,8},{4},{7}} [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,8,2,1]=>[1,2,8,4,3,6,5,7]=>{{1},{2},{3,5,7,8},{4},{6}} [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,8,2,1]=>[1,2,8,4,3,7,5,6]=>{{1},{2},{3,5,6,7,8},{4}} [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,8,2,1]=>[1,2,8,4,3,7,6,5]=>{{1},{2},{3,5,8},{4},{6,7}} [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>{{1},{2},{3,4,5,6},{7},{8}} [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6,8]=>{{1},{2},{3,4,5,6,7},{8}} [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,8,2,1]=>[1,2,8,5,3,4,6,7]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,8]=>{{1},{2},{3,5,7},{4,6},{8}} [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,8,2,1]=>[1,2,8,7,3,4,6,5]=>{{1},{2},{3,5,8},{4,6,7}} [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,8,2,1]=>[1,2,8,7,3,5,4,6]=>{{1},{2},{3,5,6,8},{4,7}} [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]=>{{1},{2},{3,4,5,7,8},{6}} [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>{{1},{2},{3,6},{4,5},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,2,1]=>[1,2,8,5,4,3,6,7]=>{{1},{2},{3,6,7,8},{4,5}} [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5,8]=>{{1},{2},{3,4,5,6,7},{8}} [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,8,2,1]=>[1,2,8,6,4,3,5,7]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,8,2,1]=>[1,2,8,7,4,3,6,5]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]=>{{1},{2},{3,5,6,8},{4,7}} [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8]=>{{1},{2},{3,7},{4,6},{5},{8}} [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,8,2,1]=>[1,2,8,6,5,4,3,7]=>{{1},{2},{3,7,8},{4,6},{5}} [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,2,1]=>[1,2,8,7,5,4,3,6]=>{{1},{2},{3,4,6,7,8},{5}} [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,8,2,1]=>[1,2,8,7,6,4,3,5]=>{{1},{2},{3,4,5,6,7,8}} [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4]=>{{1},{2},{3,4,7,8},{5,6}} [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]=>{{1},{2},{3,8},{4,7},{5,6}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}} [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7]=>{{1},{2,3},{4},{5},{6},{7,8}} [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}} [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]=>{{1},{2,3},{4},{5},{6,7,8}} [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,2,3,1]=>[1,3,2,4,5,8,7,6]=>{{1},{2,3},{4},{5},{6,8},{7}} [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]=>{{1},{2,3},{4},{5,6},{7},{8}} [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7]=>{{1},{2,3},{4},{5,6},{7,8}} [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]=>{{1},{2,3},{4},{5,6,7,8}} [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,3,1]=>[1,3,2,4,8,5,7,6]=>{{1},{2,3},{4},{5,6,8},{7}} [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]=>{{1},{2,3},{4},{5,7},{6},{8}} [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,2,3,1]=>[1,3,2,4,8,6,5,7]=>{{1},{2,3},{4},{5,7,8},{6}} [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]=>{{1},{2,3},{4},{5,8},{6,7}} [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}} [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]=>{{1},{2,3},{4,5},{6,7,8}} [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,6]=>{{1},{2,3},{4,5},{6,8},{7}} [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]=>{{1},{2,3},{4,5,6},{7},{8}} [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>{{1},{2,3},{4,5,6,7},{8}} [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,5,6,7,8}} [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,2,3,1]=>[1,3,2,8,4,5,7,6]=>{{1},{2,3},{4,5,6,8},{7}} [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>{{1},{2,3},{4,5,7},{6},{8}} [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]=>{{1},{2,3},{4,5,7,8},{6}} [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]=>{{1},{2,3},{4,5,6,7,8}} [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7,8]=>{{1},{2,3},{4,6},{5},{7},{8}} [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,2,3,1]=>[1,3,2,6,5,4,8,7]=>{{1},{2,3},{4,6},{5},{7,8}} [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,8]=>{{1},{2,3},{4,6,7},{5},{8}} [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,2,3,1]=>[1,3,2,8,5,4,6,7]=>{{1},{2,3},{4,6,7,8},{5}} [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,2,3,1]=>[1,3,2,8,5,4,7,6]=>{{1},{2,3},{4,6,8},{5},{7}} [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,8]=>{{1},{2,3},{4,5,6,7},{8}} [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,2,3,1]=>[1,3,2,8,6,4,5,7]=>{{1},{2,3},{4,5,6,7,8}} [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,2,3,1]=>[1,3,2,8,7,4,5,6]=>{{1},{2,3},{4,6,8},{5,7}} [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,2,3,1]=>[1,3,2,8,7,4,6,5]=>{{1},{2,3},{4,5,6,7,8}} [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4,8]=>{{1},{2,3},{4,7},{5,6},{8}} [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,2,3,1]=>[1,3,2,8,6,5,4,7]=>{{1},{2,3},{4,7,8},{5,6}} [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,2,3,1]=>[1,3,2,8,7,5,4,6]=>{{1},{2,3},{4,5,6,7,8}} [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,2,3,1]=>[1,3,2,8,7,6,4,5]=>{{1},{2,3},{4,5,7,8},{6}} [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]=>{{1},{2,3},{4,8},{5,7},{6}} [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}} [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7]=>{{1},{2,3,4},{5},{6},{7,8}} [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>{{1},{2,3,4},{5},{6,7},{8}} [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]=>{{1},{2,3,4},{5},{6,7,8}} [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,4,1]=>[1,4,2,3,5,8,7,6]=>{{1},{2,3,4},{5},{6,8},{7}} [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,8]=>{{1},{2,3,4},{5,6},{7},{8}} [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7]=>{{1},{2,3,4},{5,6},{7,8}} [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>{{1},{2,3,4},{5,6,7},{8}} [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,4,1]=>[1,4,2,3,8,5,6,7]=>{{1},{2,3,4},{5,6,7,8}} [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,4,1]=>[1,4,2,3,8,5,7,6]=>{{1},{2,3,4},{5,6,8},{7}} [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,2,4,1]=>[1,4,2,3,8,6,5,7]=>{{1},{2,3,4},{5,7,8},{6}} [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,2,4,1]=>[1,4,2,3,8,7,5,6]=>{{1},{2,3,4},{5,6,7,8}} [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,4,1]=>[1,4,2,3,8,7,6,5]=>{{1},{2,3,4},{5,8},{6,7}} [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}} [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,5,1]=>[1,5,2,3,4,6,8,7]=>{{1},{2,3,4,5},{6},{7,8}} [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}} [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]=>{{1},{2,3,4,5},{6,7,8}} [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,5,1]=>[1,5,2,3,4,8,7,6]=>{{1},{2,3,4,5},{6,8},{7}} [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]=>{{1},{2,3,4,5,6},{7},{8}} [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,6,1]=>[1,6,2,3,4,5,8,7]=>{{1},{2,3,4,5,6},{7,8}} [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}} [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]=>{{1},{2,3,4,5,7},{6},{8}} [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]=>{{1},{2,3,4,5,7,8},{6}} [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,8,1]=>[1,8,2,3,4,7,6,5]=>{{1},{2,3,4,5,8},{6,7}} [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6,8]=>{{1},{2,3,4,6,7},{5},{8}} [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,8,1]=>[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}} [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,2,8,1]=>[1,8,2,3,6,5,4,7]=>{{1},{2,3,4,7,8},{5,6}} [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,8,1]=>[1,8,2,3,7,6,4,5]=>{{1},{2,3,4,5,7,8},{6}} [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]=>{{1},{2,3,4,8},{5,7},{6}} [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]=>{{1},{2,3,5},{4},{6},{7},{8}} [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,2,5,1]=>[1,5,2,4,3,6,8,7]=>{{1},{2,3,5},{4},{6},{7,8}} [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>{{1},{2,3,5},{4},{6,7},{8}} [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]=>{{1},{2,3,5},{4},{6,7,8}} [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,5,1]=>[1,5,2,4,3,8,7,6]=>{{1},{2,3,5},{4},{6,8},{7}} [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]=>{{1},{2,3,5,6},{4},{7},{8}} [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,2,6,1]=>[1,6,2,4,3,5,8,7]=>{{1},{2,3,5,6},{4},{7,8}} [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6,8]=>{{1},{2,3,5,6,7},{4},{8}} [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]=>{{1},{2,3,5,6,7,8},{4}} [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]=>{{1},{2,3,5,7},{4},{6},{8}} [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>{{1},{2,3,5,7,8},{4},{6}} [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>{{1},{2,3,5,6,7,8},{4}} [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,2,8,1]=>[1,8,2,4,3,7,6,5]=>{{1},{2,3,5,8},{4},{6,7}} [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]=>{{1},{2,3,4,5,6},{7},{8}} [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,2,6,1]=>[1,6,2,5,3,4,8,7]=>{{1},{2,3,4,5,6},{7,8}} [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,5,2,8,1]=>[1,8,2,5,3,4,7,6]=>{{1},{2,3,4,5,6,8},{7}} [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]=>{{1},{2,3,5,7},{4,6},{8}} [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>{{1},{2,3,5,7,8},{4,6}} [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,2,8,1]=>[1,8,2,7,3,4,6,5]=>{{1},{2,3,5,8},{4,6,7}} [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>{{1},{2,3,5,6,8},{4,7}} [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>{{1},{2,3,5,8},{4,7},{6}} [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]=>{{1},{2,3,4,5,7,8},{6}} [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>{{1},{2,3,6,7},{4,5},{8}} [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,2,8,1]=>[1,8,2,6,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,2,8,1]=>[1,8,2,7,4,3,5,6]=>{{1},{2,3,6,8},{4,5,7}} [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,8,1]=>[1,8,2,7,4,3,6,5]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,6,2,8,1]=>[1,8,2,6,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}} [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,2,8,1]=>[1,8,2,7,5,3,4,6]=>{{1},{2,3,6,8},{4,7},{5}} [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]=>{{1},{2,3,5,6,8},{4,7}} [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3,8]=>{{1},{2,3,7},{4,6},{5},{8}} [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,2,8,1]=>[1,8,2,7,5,4,3,6]=>{{1},{2,3,4,6,7,8},{5}} [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,2,8,1]=>[1,8,2,7,6,4,3,5]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]=>{{1},{2,3,8},{4,7},{5,6}} [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8]=>{{1},{2,4},{3},{5},{6},{7},{8}} [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]=>{{1},{2,4},{3},{5},{6,7},{8}} [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,2,3,4,1]=>[1,4,3,2,5,8,6,7]=>{{1},{2,4},{3},{5},{6,7,8}} [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]=>{{1},{2,4},{3},{5},{6,8},{7}} [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,4,1]=>[1,4,3,2,8,5,6,7]=>{{1},{2,4},{3},{5,6,7,8}} [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>{{1},{2,4},{3},{5,7},{6},{8}} [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]=>{{1},{2,4},{3},{5,8},{6,7}} [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7,8]=>{{1},{2,4,5},{3},{6},{7},{8}} [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,3,5,1]=>[1,5,3,2,4,6,8,7]=>{{1},{2,4,5},{3},{6},{7,8}} [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,8]=>{{1},{2,4,5},{3},{6,7},{8}} [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,3,5,1]=>[1,5,3,2,4,8,6,7]=>{{1},{2,4,5},{3},{6,7,8}} [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,5,1]=>[1,5,3,2,4,8,7,6]=>{{1},{2,4,5},{3},{6,8},{7}} [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7,8]=>{{1},{2,4,5,6},{3},{7},{8}} [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6,8]=>{{1},{2,4,5,6,7},{3},{8}} [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]=>{{1},{2,4,5,6,7,8},{3}} [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,8,1]=>[1,8,3,2,4,5,7,6]=>{{1},{2,4,5,6,8},{3},{7}} [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>{{1},{2,4,5,7},{3},{6},{8}} [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,2,3,8,1]=>[1,8,3,2,4,7,5,6]=>{{1},{2,4,5,6,7,8},{3}} [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7,8]=>{{1},{2,4,6},{3},{5},{7},{8}} [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6,8]=>{{1},{2,4,6,7},{3},{5},{8}} [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,8,1]=>[1,8,3,2,5,4,6,7]=>{{1},{2,4,6,7,8},{3},{5}} [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,8,1]=>[1,8,3,2,5,4,7,6]=>{{1},{2,4,6,8},{3},{5},{7}} [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,2,3,8,1]=>[1,8,3,2,6,4,5,7]=>{{1},{2,4,5,6,7,8},{3}} [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,8,1]=>[1,8,3,2,7,5,4,6]=>{{1},{2,4,5,6,7,8},{3}} [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]=>{{1},{2,4,8},{3},{5,7},{6}} [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}} [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,2,4,5,1]=>[1,5,4,2,3,6,8,7]=>{{1},{2,3,4,5},{6},{7,8}} [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}} [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,4,5,1]=>[1,5,4,2,3,8,6,7]=>{{1},{2,3,4,5},{6,7,8}} [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,4,5,1]=>[1,5,4,2,3,8,7,6]=>{{1},{2,3,4,5},{6,8},{7}} [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7,8]=>{{1},{2,3,4,5,6},{7},{8}} [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,2,4,6,1]=>[1,6,4,2,3,5,8,7]=>{{1},{2,3,4,5,6},{7,8}} [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,4,8,1]=>[1,8,4,2,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,2,4,8,1]=>[1,8,4,2,3,5,7,6]=>{{1},{2,3,4,5,6,8},{7}} [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,2,4,8,1]=>[1,8,4,2,3,6,5,7]=>{{1},{2,3,4,5,7,8},{6}} [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,8,1]=>[1,8,4,2,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,4,8,1]=>[1,8,4,2,3,7,6,5]=>{{1},{2,3,4,5,8},{6,7}} [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,6,1]=>[1,6,5,2,3,4,8,7]=>{{1},{2,4,6},{3,5},{7,8}} [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6,8]=>{{1},{2,4,6,7},{3,5},{8}} [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,2,5,8,1]=>[1,8,5,2,3,4,7,6]=>{{1},{2,4,6,8},{3,5},{7}} [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,8,1]=>[1,8,6,2,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]=>{{1},{2,4,6,8},{3,5,7}} [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,2,7,8,1]=>[1,8,7,2,3,4,6,5]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,2,7,8,1]=>[1,8,7,2,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]=>{{1},{2,3,4,5,7,8},{6}} [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]=>{{1},{2,4,8},{3,5,7},{6}} [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>{{1},{2,4,5,7},{3,6},{8}} [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,8,1]=>[1,8,6,2,4,3,5,7]=>{{1},{2,4,5,7,8},{3,6}} [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,6,8,1]=>[1,8,6,2,5,3,4,7]=>{{1},{2,4,7,8},{3,6},{5}} [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,7,8,1]=>[1,8,7,2,5,3,4,6]=>{{1},{2,3,4,6,7,8},{5}} [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]=>{{1},{2,4,8},{3,5,6,7}} [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,7,8,1]=>[1,8,7,2,5,4,3,6]=>{{1},{2,4,6,8},{3,7},{5}} [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]=>{{1},{2,4,8},{3,7},{5,6}} [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]=>{{1},{2,3,4,7,8},{5,6}} [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7,8]=>{{1},{2,5},{3,4},{6},{7},{8}} [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6,8]=>{{1},{2,5},{3,4},{6,7},{8}} [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,5,1]=>[1,5,4,3,2,8,7,6]=>{{1},{2,5},{3,4},{6,8},{7}} [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7,8]=>{{1},{2,5,6},{3,4},{7},{8}} [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6,8]=>{{1},{2,5,6,7},{3,4},{8}} [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,8,1]=>[1,8,4,3,2,5,6,7]=>{{1},{2,5,6,7,8},{3,4}} [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,3,4,8,1]=>[1,8,4,3,2,5,7,6]=>{{1},{2,5,6,8},{3,4},{7}} [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,4,8,1]=>[1,8,4,3,2,7,5,6]=>{{1},{2,5,6,7,8},{3,4}} [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,8,1]=>[1,8,4,3,2,7,6,5]=>{{1},{2,5,8},{3,4},{6,7}} [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[8,7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7,8]=>{{1},{2,3,4,5,6},{7},{8}} [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,3,5,6,1]=>[1,6,5,3,2,4,8,7]=>{{1},{2,3,4,5,6},{7,8}} [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,5,8,1]=>[1,8,5,3,2,4,6,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,3,5,8,1]=>[1,8,5,3,2,4,7,6]=>{{1},{2,3,4,5,6,8},{7}} [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5,8]=>{{1},{2,5,7},{3,4,6},{8}} [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,6,8,1]=>[1,8,6,3,2,4,5,7]=>{{1},{2,5,7,8},{3,4,6}} [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,7,8,1]=>[1,8,7,3,2,4,5,6]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]=>{{1},{2,5,8},{3,4,6,7}} [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,8,1]=>[1,8,6,3,2,5,4,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,2,3,7,8,1]=>[1,8,7,3,2,5,4,6]=>{{1},{2,5,6,8},{3,4,7}} [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]=>{{1},{2,5,8},{3,4,7},{6}} [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,5,6,1]=>[1,6,5,4,2,3,8,7]=>{{1},{2,3,5,6},{4},{7,8}} [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,5,8,1]=>[1,8,5,4,2,3,6,7]=>{{1},{2,3,5,6,7,8},{4}} [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,8,1]=>[1,8,5,4,2,3,7,6]=>{{1},{2,3,5,6,8},{4},{7}} [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,8]=>{{1},{2,5,7},{3,6},{4},{8}} [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,6,8,1]=>[1,8,6,4,2,3,5,7]=>{{1},{2,5,7,8},{3,6},{4}} [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,7,8,1]=>[1,8,7,4,2,3,5,6]=>{{1},{2,3,5,6,7,8},{4}} [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,4,7,8,1]=>[1,8,7,4,2,3,6,5]=>{{1},{2,5,8},{3,6,7},{4}} [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,5,7,8,1]=>[1,8,7,5,2,3,4,6]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>{{1},{2,5,8},{3,4,6,7}} [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5]=>{{1},{2,5,8},{3,7},{4,6}} [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7,8]=>{{1},{2,6},{3,5},{4},{7},{8}} [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,5,6,1]=>[1,6,5,4,3,2,8,7]=>{{1},{2,6},{3,5},{4},{7,8}} [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6,8]=>{{1},{2,6,7},{3,5},{4},{8}} [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]=>{{1},{2,6,7,8},{3,5},{4}} [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]=>{{1},{2,6,8},{3,5},{4},{7}} [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]=>{{1},{2,6,8},{3,5,7},{4}} [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,4,7,8,1]=>[1,8,7,4,3,2,6,5]=>{{1},{2,3,5,6,7,8},{4}} [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4,8]=>{{1},{2,3,4,5,6,7},{8}} [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,5,6,8,1]=>[1,8,6,5,3,2,4,7]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,3,5,7,8,1]=>[1,8,7,5,3,2,4,6]=>{{1},{2,6,8},{3,4,5,7}} [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,6,7,8,1]=>[1,8,7,6,3,2,4,5]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,6,7,8,1]=>[1,8,7,6,3,2,5,4]=>{{1},{2,4,6,8},{3,5,7}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>{{1},{2,3,6,7},{4,5},{8}} [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,4,5,6,8,1]=>[1,8,6,5,4,2,3,7]=>{{1},{2,3,6,7,8},{4,5}} [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,7,8,1]=>[1,8,7,6,4,2,3,5]=>{{1},{2,4,5,6,8},{3,7}} [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,8,1]=>[1,8,7,6,5,2,3,4]=>{{1},{2,4,6,8},{3,7},{5}} [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3]=>{{1},{2,3,4,6,7,8},{5}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>{{1},{2,7},{3,6},{4,5},{8}} [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,6,8,1]=>[1,8,6,5,4,3,2,7]=>{{1},{2,7,8},{3,6},{4,5}} [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,5,7,8,1]=>[1,8,7,5,4,3,2,6]=>{{1},{2,3,6,7,8},{4,5}} [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]=>{{1},{2,3,4,5,6,7,8}} [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,7,8,1]=>[1,8,7,6,5,3,2,4]=>{{1},{2,3,4,6,7,8},{5}} [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>{{1},{2,3,7,8},{4,6},{5}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>{{1,2},{3},{4},{5},{6},{7},{8}} [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>{{1,2},{3},{4},{5},{6},{7,8}} [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8]=>{{1,2},{3},{4},{5},{6,7},{8}} [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,1,2]=>[2,1,3,4,5,8,6,7]=>{{1,2},{3},{4},{5},{6,7,8}} [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,1,2]=>[2,1,3,4,5,8,7,6]=>{{1,2},{3},{4},{5},{6,8},{7}} [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]=>{{1,2},{3},{4},{5,6},{7},{8}} [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]=>{{1,2},{3},{4},{5,6},{7,8}} [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,8]=>{{1,2},{3},{4},{5,6,7},{8}} [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]=>{{1,2},{3},{4},{5,6,7,8}} [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,1,2]=>[2,1,3,4,8,5,7,6]=>{{1,2},{3},{4},{5,6,8},{7}} [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,1,2]=>[2,1,3,4,8,6,5,7]=>{{1,2},{3},{4},{5,7,8},{6}} [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,1,2]=>[2,1,3,4,8,7,5,6]=>{{1,2},{3},{4},{5,6,7,8}} [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]=>{{1,2},{3},{4},{5,8},{6,7}} [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,8]=>{{1,2},{3},{4,5},{6},{7},{8}} [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>{{1,2},{3},{4,5},{6},{7,8}} [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,3,1,2]=>[2,1,3,5,4,8,7,6]=>{{1,2},{3},{4,5},{6,8},{7}} [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,8]=>{{1,2},{3},{4,5,6},{7},{8}} [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7]=>{{1,2},{3},{4,5,6},{7,8}} [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>{{1,2},{3},{4,5,6,7,8}} [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,3,1,2]=>[2,1,3,8,4,5,7,6]=>{{1,2},{3},{4,5,6,8},{7}} [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,3,1,2]=>[2,1,3,8,4,6,5,7]=>{{1,2},{3},{4,5,7,8},{6}} [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,1,2]=>[2,1,3,8,4,7,5,6]=>{{1,2},{3},{4,5,6,7,8}} [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,3,1,2]=>[2,1,3,8,4,7,6,5]=>{{1,2},{3},{4,5,8},{6,7}} [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,1,2]=>[2,1,3,6,5,4,8,7]=>{{1,2},{3},{4,6},{5},{7,8}} [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,1,2]=>[2,1,3,8,5,4,6,7]=>{{1,2},{3},{4,6,7,8},{5}} [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,3,1,2]=>[2,1,3,8,5,4,7,6]=>{{1,2},{3},{4,6,8},{5},{7}} [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,3,1,2]=>[2,1,3,8,6,4,5,7]=>{{1,2},{3},{4,5,6,7,8}} [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,3,1,2]=>[2,1,3,8,7,4,5,6]=>{{1,2},{3},{4,6,8},{5,7}} [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,3,1,2]=>[2,1,3,8,7,4,6,5]=>{{1,2},{3},{4,5,6,7,8}} [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,1,2]=>[2,1,3,8,6,5,4,7]=>{{1,2},{3},{4,7,8},{5,6}} [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,3,1,2]=>[2,1,3,8,7,5,4,6]=>{{1,2},{3},{4,5,6,7,8}} [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,1,2]=>[2,1,3,8,7,6,4,5]=>{{1,2},{3},{4,5,7,8},{6}} [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,1,2]=>[2,1,3,8,7,6,5,4]=>{{1,2},{3},{4,8},{5,7},{6}} [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]=>{{1,2},{3,4},{5},{6},{7},{8}} [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]=>{{1,2},{3,4},{5},{6},{7,8}} [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7]=>{{1,2},{3,4},{5},{6,7,8}} [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,1,2]=>[2,1,4,3,5,8,7,6]=>{{1,2},{3,4},{5},{6,8},{7}} [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]=>{{1,2},{3,4},{5,6},{7},{8}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}} [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>{{1,2},{3,4},{5,6,7,8}} [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]=>{{1,2},{3,4},{5,6,8},{7}} [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7]=>{{1,2},{3,4},{5,7,8},{6}} [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]=>{{1,2},{3,4},{5,6,7,8}} [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}} [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7,8]=>{{1,2},{3,4,5},{6},{7},{8}} [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7]=>{{1,2},{3,4,5},{6},{7,8}} [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>{{1,2},{3,4,5,6},{7,8}} [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8]=>{{1,2},{3,4,5,6,7},{8}} [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,8,1,2]=>[2,1,8,3,4,7,6,5]=>{{1,2},{3,4,5,8},{6,7}} [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]=>{{1,2},{3,4,6},{5},{7,8}} [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]=>{{1,2},{3,4,6,8},{5},{7}} [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5,8]=>{{1,2},{3,4,5,6,7},{8}} [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,8,1,2]=>[2,1,8,3,6,4,5,7]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,1,2]=>[2,1,8,3,7,4,5,6]=>{{1,2},{3,4,6,8},{5,7}} [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,8,1,2]=>[2,1,8,3,7,5,4,6]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]=>{{1,2},{3,4,5,7,8},{6}} [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,8,1,2]=>[2,1,8,3,7,6,5,4]=>{{1,2},{3,4,8},{5,7},{6}} [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7,8]=>{{1,2},{3,5},{4},{6},{7},{8}} [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,5,1,2]=>[2,1,5,4,3,6,8,7]=>{{1,2},{3,5},{4},{6},{7,8}} [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6,8]=>{{1,2},{3,5},{4},{6,7},{8}} [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,1,2]=>[2,1,5,4,3,8,7,6]=>{{1,2},{3,5},{4},{6,8},{7}} [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7,8]=>{{1,2},{3,5,6},{4},{7},{8}} [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]=>{{1,2},{3,5,6},{4},{7,8}} [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,8,1,2]=>[2,1,8,4,3,5,7,6]=>{{1,2},{3,5,6,8},{4},{7}} [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7]=>{{1,2},{3,5,7,8},{4},{6}} [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,8,1,2]=>[2,1,8,4,3,7,5,6]=>{{1,2},{3,5,6,7,8},{4}} [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,8,1,2]=>[2,1,8,4,3,7,6,5]=>{{1,2},{3,5,8},{4},{6,7}} [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>{{1,2},{3,4,5,6},{7,8}} [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,8,1,2]=>[2,1,8,5,3,4,6,7]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,5,8,1,2]=>[2,1,8,5,3,4,7,6]=>{{1,2},{3,4,5,6,8},{7}} [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5,8]=>{{1,2},{3,5,7},{4,6},{8}} [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,8,1,2]=>[2,1,8,7,3,4,6,5]=>{{1,2},{3,5,8},{4,6,7}} [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,8,1,2]=>[2,1,8,6,3,5,4,7]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,8,1,2]=>[2,1,8,7,3,5,4,6]=>{{1,2},{3,5,6,8},{4,7}} [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,8,1,2]=>[2,1,8,7,3,6,4,5]=>{{1,2},{3,5,8},{4,7},{6}} [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,8,1,2]=>[2,1,8,7,3,6,5,4]=>{{1,2},{3,4,5,7,8},{6}} [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}} [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,1,2]=>[2,1,8,5,4,3,6,7]=>{{1,2},{3,6,7,8},{4,5}} [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]=>{{1,2},{3,6,8},{4,5},{7}} [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,8,1,2]=>[2,1,8,6,4,3,5,7]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,8,1,2]=>[2,1,8,7,4,3,5,6]=>{{1,2},{3,6,8},{4,5,7}} [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4,8]=>{{1,2},{3,4,6,7},{5},{8}} [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6]=>{{1,2},{3,6,8},{4,7},{5}} [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]=>{{1,2},{3,5,6,8},{4,7}} [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,1,2]=>[2,1,8,7,6,3,5,4]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3,8]=>{{1,2},{3,7},{4,6},{5},{8}} [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,8,1,2]=>[2,1,8,6,5,4,3,7]=>{{1,2},{3,7,8},{4,6},{5}} [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]=>{{1,2},{3,4,6,7,8},{5}} [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,8,1,2]=>[2,1,8,7,6,4,3,5]=>{{1,2},{3,4,5,6,7,8}} [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]=>{{1,2},{3,4,7,8},{5,6}} [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]=>{{1,2,3},{4},{5},{6},{7},{8}} [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,1,3]=>[3,1,2,4,5,6,8,7]=>{{1,2,3},{4},{5},{6},{7,8}} [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6,8]=>{{1,2,3},{4},{5},{6,7},{8}} [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>{{1,2,3},{4},{5},{6,7,8}} [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7]=>{{1,2,3},{4},{5,6},{7,8}} [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8]=>{{1,2,3},{4},{5,6,7},{8}} [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]=>{{1,2,3},{4},{5,6,7,8}} [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,1,3]=>[3,1,2,4,8,5,7,6]=>{{1,2,3},{4},{5,6,8},{7}} [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,2,1,3]=>[3,1,2,4,8,6,5,7]=>{{1,2,3},{4},{5,7,8},{6}} [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,2,1,3]=>[3,1,2,4,8,7,5,6]=>{{1,2,3},{4},{5,6,7,8}} [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,1,3]=>[3,1,2,4,8,7,6,5]=>{{1,2,3},{4},{5,8},{6,7}} [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7]=>{{1,2,3},{4,5},{6},{7,8}} [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8]=>{{1,2,3},{4,5},{6,7},{8}} [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7]=>{{1,2,3},{4,5,6},{7,8}} [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8]=>{{1,2,3},{4,5,6,7},{8}} [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,2,1,3]=>[3,1,2,8,4,5,6,7]=>{{1,2,3},{4,5,6,7,8}} [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,2,1,3]=>[3,1,2,8,4,5,7,6]=>{{1,2,3},{4,5,6,8},{7}} [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,2,1,3]=>[3,1,2,8,4,7,5,6]=>{{1,2,3},{4,5,6,7,8}} [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,8]=>{{1,2,3},{4,6,7},{5},{8}} [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,2,1,3]=>[3,1,2,8,5,4,7,6]=>{{1,2,3},{4,6,8},{5},{7}} [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5,8]=>{{1,2,3},{4,5,6,7},{8}} [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,2,1,3]=>[3,1,2,8,6,4,5,7]=>{{1,2,3},{4,5,6,7,8}} [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,2,1,3]=>[3,1,2,8,7,4,5,6]=>{{1,2,3},{4,6,8},{5,7}} [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,2,1,3]=>[3,1,2,8,7,4,6,5]=>{{1,2,3},{4,5,6,7,8}} [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,2,1,3]=>[3,1,2,8,6,5,4,7]=>{{1,2,3},{4,7,8},{5,6}} [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,2,1,3]=>[3,1,2,8,7,5,4,6]=>{{1,2,3},{4,5,6,7,8}} [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,2,1,3]=>[3,1,2,8,7,6,4,5]=>{{1,2,3},{4,5,7,8},{6}} [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,4]=>{{1,2,3},{4,8},{5,7},{6}} [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}} [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7]=>{{1,2,3,4},{5},{6},{7,8}} [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8]=>{{1,2,3,4},{5},{6,7},{8}} [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7]=>{{1,2,3,4},{5},{6,7,8}} [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,1,4]=>[4,1,2,3,5,8,7,6]=>{{1,2,3,4},{5},{6,8},{7}} [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8]=>{{1,2,3,4},{5,6},{7},{8}} [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>{{1,2,3,4},{5,6},{7,8}} [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8]=>{{1,2,3,4},{5,6,7},{8}} [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>{{1,2,3,4},{5,6,7,8}} [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]=>{{1,2,3,4},{5,6,8},{7}} [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5,8]=>{{1,2,3,4},{5,7},{6},{8}} [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]=>{{1,2,3,4},{5,7,8},{6}} [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]=>{{1,2,3,4},{5,6,7,8}} [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]=>{{1,2,3,4},{5,8},{6,7}} [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]=>{{1,2,3,4,5},{6},{7,8}} [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,1,5]=>[5,1,2,3,4,8,6,7]=>{{1,2,3,4,5},{6,7,8}} [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,1,5]=>[5,1,2,3,4,8,7,6]=>{{1,2,3,4,5},{6,8},{7}} [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]=>{{1,2,3,4,5,7},{6},{8}} [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,2,1,8]=>[8,1,2,3,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}} [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>{{1,2,3,4,5,8},{6,7}} [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8]=>{{1,2,3,4,6},{5},{7},{8}} [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}} [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6]=>{{1,2,3,4,6,8},{5},{7}} [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,2,1,8]=>[8,1,2,3,6,4,5,7]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}} [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,8]=>{{1,2,3,4,7},{5,6},{8}} [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}} [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,2,1,8]=>[8,1,2,3,7,5,4,6]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>{{1,2,3,4,8},{5,7},{6}} [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8]=>{{1,2,3,5},{4},{6},{7},{8}} [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,2,1,5]=>[5,1,2,4,3,6,8,7]=>{{1,2,3,5},{4},{6},{7,8}} [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7,8]=>{{1,2,3,5,6},{4},{7},{8}} [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,2,1,6]=>[6,1,2,4,3,5,8,7]=>{{1,2,3,5,6},{4},{7,8}} [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,2,1,8]=>[8,1,2,4,3,5,6,7]=>{{1,2,3,5,6,7,8},{4}} [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,2,1,8]=>[8,1,2,4,3,5,7,6]=>{{1,2,3,5,6,8},{4},{7}} [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,1,8]=>[8,1,2,4,3,6,5,7]=>{{1,2,3,5,7,8},{4},{6}} [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,2,1,8]=>[8,1,2,4,3,7,6,5]=>{{1,2,3,5,8},{4},{6,7}} [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7,8]=>{{1,2,3,4,5,6},{7},{8}} [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,5,2,1,8]=>[8,1,2,5,3,4,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5,8]=>{{1,2,3,5,7},{4,6},{8}} [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,1,8]=>[8,1,2,6,3,4,5,7]=>{{1,2,3,5,7,8},{4,6}} [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]=>{{1,2,3,5,8},{4,6,7}} [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,2,1,8]=>[8,1,2,7,3,5,4,6]=>{{1,2,3,5,6,8},{4,7}} [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]=>{{1,2,3,5,8},{4,7},{6}} [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}} [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,2,1,6]=>[6,1,2,5,4,3,8,7]=>{{1,2,3,6},{4,5},{7,8}} [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>{{1,2,3,6,7,8},{4,5}} [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,1,8]=>[8,1,2,7,4,3,6,5]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4,8]=>{{1,2,3,4,6,7},{5},{8}} [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,6,2,1,8]=>[8,1,2,6,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}} [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,2,1,8]=>[8,1,2,7,5,3,4,6]=>{{1,2,3,6,8},{4,7},{5}} [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>{{1,2,3,5,6,8},{4,7}} [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,8]=>{{1,2,3,7},{4,6},{5},{8}} [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,7]=>{{1,2,3,7,8},{4,6},{5}} [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,2,1,8]=>[8,1,2,7,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}} [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]=>{{1,2,3,8},{4,7},{5,6}} [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]=>{{1,2,4},{3},{5},{6},{7},{8}} [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6,8]=>{{1,2,4},{3},{5},{6,7},{8}} [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}} [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]=>{{1,2,4},{3},{5,6,7,8}} [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]=>{{1,2,4},{3},{5,6,8},{7}} [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>{{1,2,4},{3},{5,7,8},{6}} [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]=>{{1,2,4},{3},{5,8},{6,7}} [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7,8]=>{{1,2,4,5},{3},{6},{7},{8}} [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,3,1,5]=>[5,1,3,2,4,6,8,7]=>{{1,2,4,5},{3},{6},{7,8}} [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,8]=>{{1,2,4,5},{3},{6,7},{8}} [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,3,1,5]=>[5,1,3,2,4,8,6,7]=>{{1,2,4,5},{3},{6,7,8}} [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6,8]=>{{1,2,4,5,6,7},{3},{8}} [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,1,8]=>[8,1,3,2,4,5,6,7]=>{{1,2,4,5,6,7,8},{3}} [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]=>{{1,2,4,5,6,8},{3},{7}} [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>{{1,2,4,5,7,8},{3},{6}} [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,3,1,8]=>[8,1,3,2,4,7,6,5]=>{{1,2,4,5,8},{3},{6,7}} [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7]=>{{1,2,4,6},{3},{5},{7,8}} [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,8]=>{{1,2,4,6,7},{3},{5},{8}} [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,1,8]=>[8,1,3,2,5,4,6,7]=>{{1,2,4,6,7,8},{3},{5}} [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]=>{{1,2,4,6,8},{3},{5},{7}} [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5]=>{{1,2,4,5,6,7,8},{3}} [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,3,1,8]=>[8,1,3,2,6,5,4,7]=>{{1,2,4,7,8},{3},{5,6}} [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,1,8]=>[8,1,3,2,7,5,4,6]=>{{1,2,4,5,6,7,8},{3}} [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,2,3,1,8]=>[8,1,3,2,7,6,4,5]=>{{1,2,4,5,7,8},{3},{6}} [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,1,8]=>[8,1,3,2,7,6,5,4]=>{{1,2,4,8},{3},{5,7},{6}} [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,4,1,5]=>[5,1,4,2,3,8,6,7]=>{{1,2,3,4,5},{6,7,8}} [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,4,1,5]=>[5,1,4,2,3,8,7,6]=>{{1,2,3,4,5},{6,8},{7}} [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,2,4,1,6]=>[6,1,4,2,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,4,1,8]=>[8,1,4,2,3,5,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,2,4,1,8]=>[8,1,4,2,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,2,4,1,8]=>[8,1,4,2,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}} [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,4,1,8]=>[8,1,4,2,3,7,6,5]=>{{1,2,3,4,5,8},{6,7}} [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7,8]=>{{1,2,4,6},{3,5},{7},{8}} [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,1,6]=>[6,1,5,2,3,4,8,7]=>{{1,2,4,6},{3,5},{7,8}} [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,5,1,8]=>[8,1,5,2,3,4,6,7]=>{{1,2,4,6,7,8},{3,5}} [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]=>{{1,2,4,6,8},{3,5,7}} [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,2,6,1,8]=>[8,1,6,2,3,5,4,7]=>{{1,2,4,7,8},{3,5,6}} [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}} [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,2,7,1,8]=>[8,1,7,2,3,6,5,4]=>{{1,2,4,8},{3,5,7},{6}} [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>{{1,2,4,5,7,8},{3,6}} [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,7,1,8]=>[8,1,7,2,4,3,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]=>{{1,2,4,5,8},{3,6,7}} [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4,8]=>{{1,2,4,7},{3,6},{5},{8}} [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,6,1,8]=>[8,1,6,2,5,3,4,7]=>{{1,2,4,7,8},{3,6},{5}} [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,7,1,8]=>[8,1,7,2,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}} [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>{{1,2,4,8},{3,5,6,7}} [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3,8]=>{{1,2,3,4,6,7},{5},{8}} [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,6]=>{{1,2,4,6,8},{3,7},{5}} [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5]=>{{1,2,4,5,6,8},{3,7}} [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}} [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7,8]=>{{1,2,5},{3,4},{6},{7},{8}} [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,3,4,1,5]=>[5,1,4,3,2,6,8,7]=>{{1,2,5},{3,4},{6},{7,8}} [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,1,5]=>[5,1,4,3,2,8,7,6]=>{{1,2,5},{3,4},{6,8},{7}} [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6,8]=>{{1,2,5,6,7},{3,4},{8}} [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,1,8]=>[8,1,4,3,2,5,6,7]=>{{1,2,5,6,7,8},{3,4}} [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,3,4,1,8]=>[8,1,4,3,2,5,7,6]=>{{1,2,5,6,8},{3,4},{7}} [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,4,1,8]=>[8,1,4,3,2,6,5,7]=>{{1,2,5,7,8},{3,4},{6}} [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,4,1,8]=>[8,1,4,3,2,7,5,6]=>{{1,2,5,6,7,8},{3,4}} [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]=>{{1,2,5,8},{3,4},{6,7}} [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,3,5,1,8]=>[8,1,5,3,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,7,1,8]=>[8,1,7,3,2,4,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,2,3,7,1,8]=>[8,1,7,3,2,5,4,6]=>{{1,2,5,6,8},{3,4,7}} [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,2,3,7,1,8]=>[8,1,7,3,2,6,5,4]=>{{1,2,3,4,5,7,8},{6}} [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,5,1,6]=>[6,1,5,4,2,3,8,7]=>{{1,2,3,5,6},{4},{7,8}} [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6,8]=>{{1,2,3,5,6,7},{4},{8}} [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,5,1,8]=>[8,1,5,4,2,3,6,7]=>{{1,2,3,5,6,7,8},{4}} [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5,8]=>{{1,2,5,7},{3,6},{4},{8}} [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,6,1,8]=>[8,1,6,4,2,3,5,7]=>{{1,2,5,7,8},{3,6},{4}} [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,7,1,8]=>[8,1,7,4,2,3,5,6]=>{{1,2,3,5,6,7,8},{4}} [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,4,7,1,8]=>[8,1,7,4,2,3,6,5]=>{{1,2,5,8},{3,6,7},{4}} [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>{{1,2,4,5,7,8},{3,6}} [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,5,7,1,8]=>[8,1,7,5,2,3,4,6]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>{{1,2,5,8},{3,4,6,7}} [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[6,3,4,2,5,7,1,8]=>[8,1,7,5,2,4,3,6]=>{{1,2,4,5,6,8},{3,7}} [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,6,7,1,8]=>[8,1,7,6,2,4,3,5]=>{{1,2,5,8},{3,7},{4,6}} [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,5,1,6]=>[6,1,5,4,3,2,8,7]=>{{1,2,6},{3,5},{4},{7,8}} [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,4,5,1,8]=>[8,1,5,4,3,2,6,7]=>{{1,2,6,7,8},{3,5},{4}} [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,1,8]=>[8,1,5,4,3,2,7,6]=>{{1,2,6,8},{3,5},{4},{7}} [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,4,7,1,8]=>[8,1,7,4,3,2,6,5]=>{{1,2,3,5,6,7,8},{4}} [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,3,5,7,1,8]=>[8,1,7,5,3,2,4,6]=>{{1,2,6,8},{3,4,5,7}} [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,6,7,1,8]=>[8,1,7,6,3,2,4,5]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3,8]=>{{1,2,3,6,7},{4,5},{8}} [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,5,7,1,8]=>[8,1,7,5,4,2,3,6]=>{{1,2,6,8},{3,7},{4,5}} [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,7,1,8]=>[8,1,7,6,4,2,3,5]=>{{1,2,4,5,6,8},{3,7}} [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,1,8]=>[8,1,7,6,5,2,3,4]=>{{1,2,4,6,8},{3,7},{5}} [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}} [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,8]=>{{1,2,7},{3,6},{4,5},{8}} [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>{{1,2,7,8},{3,6},{4,5}} [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,6]=>{{1,2,3,6,7,8},{4,5}} [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,1,8]=>[8,1,7,6,4,3,2,5]=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,7,1,8]=>[8,1,7,6,5,3,2,4]=>{{1,2,3,4,6,7,8},{5}} [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>{{1,2,3,7,8},{4,6},{5}} [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]=>{{1,2,8},{3,7},{4,6},{5}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}} [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,1,2,3]=>[3,2,1,4,5,6,8,7]=>{{1,3},{2},{4},{5},{6},{7,8}} [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6,8]=>{{1,3},{2},{4},{5},{6,7},{8}} [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>{{1,3},{2},{4},{5},{6,8},{7}} [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]=>{{1,3},{2},{4},{5,6,7,8}} [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,1,2,3]=>[3,2,1,4,8,5,7,6]=>{{1,3},{2},{4},{5,6,8},{7}} [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]=>{{1,3},{2},{4},{5,7},{6},{8}} [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]=>{{1,3},{2},{4},{5,8},{6,7}} [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8]=>{{1,3},{2},{4,5},{6},{7},{8}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>{{1,3},{2},{4,5},{6,7},{8}} [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7,8]=>{{1,3},{2},{4,5,6},{7},{8}} [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6,8]=>{{1,3},{2},{4,5,6,7},{8}} [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,1,2,3]=>[3,2,1,8,4,5,6,7]=>{{1,3},{2},{4,5,6,7,8}} [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,1,2,3]=>[3,2,1,8,4,5,7,6]=>{{1,3},{2},{4,5,6,8},{7}} [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5,8]=>{{1,3},{2},{4,5,7},{6},{8}} [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,1,2,3]=>[3,2,1,8,4,6,5,7]=>{{1,3},{2},{4,5,7,8},{6}} [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,1,2,3]=>[3,2,1,8,4,7,5,6]=>{{1,3},{2},{4,5,6,7,8}} [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,1,2,3]=>[3,2,1,8,4,7,6,5]=>{{1,3},{2},{4,5,8},{6,7}} [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]=>{{1,3},{2},{4,6},{5},{7},{8}} [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7]=>{{1,3},{2},{4,6},{5},{7,8}} [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6,8]=>{{1,3},{2},{4,6,7},{5},{8}} [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,1,2,3]=>[3,2,1,8,5,4,6,7]=>{{1,3},{2},{4,6,7,8},{5}} [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6]=>{{1,3},{2},{4,6,8},{5},{7}} [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5,8]=>{{1,3},{2},{4,5,6,7},{8}} [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,1,2,3]=>[3,2,1,8,6,4,5,7]=>{{1,3},{2},{4,5,6,7,8}} [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]=>{{1,3},{2},{4,6,8},{5,7}} [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,1,2,3]=>[3,2,1,8,7,4,6,5]=>{{1,3},{2},{4,5,6,7,8}} [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8]=>{{1,3},{2},{4,7},{5,6},{8}} [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,1,2,3]=>[3,2,1,8,6,5,4,7]=>{{1,3},{2},{4,7,8},{5,6}} [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,1,2,3]=>[3,2,1,8,7,5,4,6]=>{{1,3},{2},{4,5,6,7,8}} [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,1,2,3]=>[3,2,1,8,7,6,4,5]=>{{1,3},{2},{4,5,7,8},{6}} [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}} [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}} [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,1,2,4]=>[4,2,1,3,5,8,6,7]=>{{1,3,4},{2},{5},{6,7,8}} [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,1,2,4]=>[4,2,1,3,5,8,7,6]=>{{1,3,4},{2},{5},{6,8},{7}} [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7,8]=>{{1,3,4},{2},{5,6},{7},{8}} [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}} [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,1,2,4]=>[4,2,1,3,8,5,6,7]=>{{1,3,4},{2},{5,6,7,8}} [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>{{1,3,4},{2},{5,6,8},{7}} [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]=>{{1,3,4},{2},{5,7,8},{6}} [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,1,2,4]=>[4,2,1,3,8,7,5,6]=>{{1,3,4},{2},{5,6,7,8}} [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]=>{{1,3,4},{2},{5,8},{6,7}} [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]=>{{1,3,4,5},{2},{6},{7},{8}} [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,1,2,5]=>[5,2,1,3,4,8,7,6]=>{{1,3,4,5},{2},{6,8},{7}} [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>{{1,3,4,5,6,7},{2},{8}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>{{1,3,4,5,6,7,8},{2}} [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>{{1,3,4,5,6,8},{2},{7}} [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,1,2,8]=>[8,2,1,3,4,6,5,7]=>{{1,3,4,5,7,8},{2},{6}} [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,1,2,8]=>[8,2,1,3,4,7,5,6]=>{{1,3,4,5,6,7,8},{2}} [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6,8]=>{{1,3,4,6,7},{2},{5},{8}} [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,1,2,8]=>[8,2,1,3,6,4,5,7]=>{{1,3,4,5,6,7,8},{2}} [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,1,2,8]=>[8,2,1,3,7,4,6,5]=>{{1,3,4,5,6,7,8},{2}} [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]=>{{1,3,4,7,8},{2},{5,6}} [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,1,2,8]=>[8,2,1,3,7,6,4,5]=>{{1,3,4,5,7,8},{2},{6}} [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,1,2,8]=>[8,2,1,3,7,6,5,4]=>{{1,3,4,8},{2},{5,7},{6}} [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7,8]=>{{1,3,5},{2},{4},{6},{7},{8}} [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,1,2,5]=>[5,2,1,4,3,8,6,7]=>{{1,3,5},{2},{4},{6,7,8}} [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7,8]=>{{1,3,5,6},{2},{4},{7},{8}} [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7]=>{{1,3,5,6},{2},{4},{7,8}} [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6,8]=>{{1,3,5,6,7},{2},{4},{8}} [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,1,2,8]=>[8,2,1,4,3,5,7,6]=>{{1,3,5,6,8},{2},{4},{7}} [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]=>{{1,3,5,7},{2},{4},{6},{8}} [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]=>{{1,3,5,7,8},{2},{4},{6}} [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,1,2,8]=>[8,2,1,4,3,7,5,6]=>{{1,3,5,6,7,8},{2},{4}} [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,1,2,8]=>[8,2,1,4,3,7,6,5]=>{{1,3,5,8},{2},{4},{6,7}} [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,1,2,6]=>[6,2,1,5,3,4,8,7]=>{{1,3,4,5,6},{2},{7,8}} [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,1,2,8]=>[8,2,1,6,3,4,5,7]=>{{1,3,5,7,8},{2},{4,6}} [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]=>{{1,3,4,5,6,7,8},{2}} [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4,8]=>{{1,3,4,5,6,7},{2},{8}} [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,1,2,8]=>[8,2,1,7,3,5,4,6]=>{{1,3,5,6,8},{2},{4,7}} [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7,8]=>{{1,3,6},{2},{4,5},{7},{8}} [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,1,2,6]=>[6,2,1,5,4,3,8,7]=>{{1,3,6},{2},{4,5},{7,8}} [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6,8]=>{{1,3,6,7},{2},{4,5},{8}} [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>{{1,3,6,8},{2},{4,5},{7}} [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,1,2,8]=>[8,2,1,6,4,3,5,7]=>{{1,3,4,5,6,7,8},{2}} [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,1,2,8]=>[8,2,1,7,4,3,5,6]=>{{1,3,6,8},{2},{4,5,7}} [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,1,2,8]=>[8,2,1,7,4,3,6,5]=>{{1,3,4,5,6,7,8},{2}} [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,6,1,2,8]=>[8,2,1,6,5,3,4,7]=>{{1,3,4,6,7,8},{2},{5}} [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,1,2,8]=>[8,2,1,7,5,3,4,6]=>{{1,3,6,8},{2},{4,7},{5}} [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,1,2,8]=>[8,2,1,7,6,3,4,5]=>{{1,3,5,6,8},{2},{4,7}} [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,1,2,8]=>[8,2,1,7,6,3,5,4]=>{{1,3,4,5,6,7,8},{2}} [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,8]=>{{1,3,7},{2},{4,6},{5},{8}} [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,1,2,8]=>[8,2,1,7,5,4,3,6]=>{{1,3,4,6,7,8},{2},{5}} [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,1,2,8]=>[8,2,1,7,6,4,3,5]=>{{1,3,4,5,6,7,8},{2}} [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,1,2,8]=>[8,2,1,7,6,5,3,4]=>{{1,3,4,7,8},{2},{5,6}} [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3]=>{{1,3,8},{2},{4,7},{5,6}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}} [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,2,1,3,4]=>[4,3,1,2,5,6,8,7]=>{{1,2,3,4},{5},{6},{7,8}} [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6,8]=>{{1,2,3,4},{5},{6,7},{8}} [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,1,3,4]=>[4,3,1,2,5,8,7,6]=>{{1,2,3,4},{5},{6,8},{7}} [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7,8]=>{{1,2,3,4},{5,6},{7},{8}} [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7]=>{{1,2,3,4},{5,6},{7,8}} [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,1,3,4]=>[4,3,1,2,8,5,6,7]=>{{1,2,3,4},{5,6,7,8}} [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,1,3,4]=>[4,3,1,2,8,5,7,6]=>{{1,2,3,4},{5,6,8},{7}} [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]=>{{1,2,3,4},{5,7,8},{6}} [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>{{1,2,3,4},{5,6,7,8}} [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]=>{{1,2,3,4},{5,8},{6,7}} [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,1,3,5]=>[5,3,1,2,4,6,8,7]=>{{1,2,3,4,5},{6},{7,8}} [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,8]=>{{1,2,3,4,5},{6,7},{8}} [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,1,3,5]=>[5,3,1,2,4,8,6,7]=>{{1,2,3,4,5},{6,7,8}} [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,1,3,5]=>[5,3,1,2,4,8,7,6]=>{{1,2,3,4,5},{6,8},{7}} [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,1,3,6]=>[6,3,1,2,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,1,3,8]=>[8,3,1,2,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5,8]=>{{1,2,3,4,5,7},{6},{8}} [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,1,3,8]=>[8,3,1,2,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}} [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,1,3,8]=>[8,3,1,2,4,7,6,5]=>{{1,2,3,4,5,8},{6,7}} [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,1,3,6]=>[6,3,1,2,5,4,8,7]=>{{1,2,3,4,6},{5},{7,8}} [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,8]=>{{1,2,3,4,6,7},{5},{8}} [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,1,3,8]=>[8,3,1,2,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}} [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,1,3,8]=>[8,3,1,2,5,4,7,6]=>{{1,2,3,4,6,8},{5},{7}} [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,2,1,3,8]=>[8,3,1,2,6,4,5,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,2,1,3,8]=>[8,3,1,2,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}} [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,1,3,8]=>[8,3,1,2,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}} [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,2,1,3,8]=>[8,3,1,2,7,6,4,5]=>{{1,2,3,4,5,7,8},{6}} [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,1,3,8]=>[8,3,1,2,7,6,5,4]=>{{1,2,3,4,8},{5,7},{6}} [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]=>{{1,3,5},{2,4},{6},{7},{8}} [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,1,4,5]=>[5,4,1,2,3,8,6,7]=>{{1,3,5},{2,4},{6,7,8}} [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,1,4,5]=>[5,4,1,2,3,8,7,6]=>{{1,3,5},{2,4},{6,8},{7}} [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]=>{{1,3,5,6},{2,4},{7},{8}} [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]=>{{1,3,5,6,7},{2,4},{8}} [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>{{1,3,5,6,7,8},{2,4}} [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,1,4,8]=>[8,4,1,2,3,7,5,6]=>{{1,3,5,6,7,8},{2,4}} [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,1,5,6]=>[6,5,1,2,3,4,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]=>{{1,3,5,7},{2,4,6},{8}} [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]=>{{1,3,5,7,8},{2,4,6}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5]=>{{1,3,5,8},{2,4,6,7}} [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,2,1,6,8]=>[8,6,1,2,3,5,4,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]=>{{1,3,5,8},{2,4,7},{6}} [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}} [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,1,5,6]=>[6,5,1,2,4,3,8,7]=>{{1,3,6},{2,4,5},{7,8}} [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6,8]=>{{1,3,6,7},{2,4,5},{8}} [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,2,1,5,8]=>[8,5,1,2,4,3,6,7]=>{{1,3,6,7,8},{2,4,5}} [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,2,1,5,8]=>[8,5,1,2,4,3,7,6]=>{{1,3,6,8},{2,4,5},{7}} [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,1,6,8]=>[8,6,1,2,4,3,5,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>{{1,3,6,8},{2,4,5,7}} [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,1,7,8]=>[8,7,1,2,4,3,6,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,1,6,8]=>[8,6,1,2,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}} [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,1,7,8]=>[8,7,1,2,5,3,4,6]=>{{1,3,6,8},{2,4,7},{5}} [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>{{1,3,5,6,8},{2,4,7}} [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]=>{{1,3,7},{2,4,6},{5},{8}} [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,2,1,6,8]=>[8,6,1,2,5,4,3,7]=>{{1,3,7,8},{2,4,6},{5}} [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,1,7,8]=>[8,7,1,2,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}} [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,2,1,7,8]=>[8,7,1,2,6,5,3,4]=>{{1,2,3,4,7,8},{5,6}} [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]=>{{1,3,8},{2,4,7},{5,6}} [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,2,3,1,4,5]=>[5,4,1,3,2,8,6,7]=>{{1,2,3,4,5},{6,7,8}} [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,1,4,5]=>[5,4,1,3,2,8,7,6]=>{{1,2,3,4,5},{6,8},{7}} [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,1,4,8]=>[8,4,1,3,2,5,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,3,1,4,8]=>[8,4,1,3,2,5,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]=>{{1,2,3,4,5,7},{6},{8}} [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,1,4,8]=>[8,4,1,3,2,6,5,7]=>{{1,2,3,4,5,7,8},{6}} [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,1,4,8]=>[8,4,1,3,2,7,6,5]=>{{1,2,3,4,5,8},{6,7}} [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,8]=>{{1,3,4,6,7},{2,5},{8}} [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,1,5,8]=>[8,5,1,3,2,4,6,7]=>{{1,3,4,6,7,8},{2,5}} [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,3,1,5,8]=>[8,5,1,3,2,4,7,6]=>{{1,3,4,6,8},{2,5},{7}} [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,1,6,8]=>[8,6,1,3,2,4,5,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,1,7,8]=>[8,7,1,3,2,4,5,6]=>{{1,3,4,6,8},{2,5,7}} [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,3,1,7,8]=>[8,7,1,3,2,4,6,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,3,1,7,8]=>[8,7,1,3,2,6,4,5]=>{{1,2,3,4,5,7,8},{6}} [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,1,5,6]=>[6,5,1,4,2,3,8,7]=>{{1,3,6},{2,5},{4},{7,8}} [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6,8]=>{{1,3,6,7},{2,5},{4},{8}} [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,1,5,8]=>[8,5,1,4,2,3,6,7]=>{{1,3,6,7,8},{2,5},{4}} [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,1,5,8]=>[8,5,1,4,2,3,7,6]=>{{1,3,6,8},{2,5},{4},{7}} [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5,8]=>{{1,2,3,5,6,7},{4},{8}} [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,1,6,8]=>[8,6,1,4,2,3,5,7]=>{{1,2,3,5,6,7,8},{4}} [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,1,7,8]=>[8,7,1,4,2,3,5,6]=>{{1,3,6,8},{2,5,7},{4}} [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,5,1,6,8]=>[8,6,1,5,2,3,4,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>{{1,3,6,8},{2,4,5,7}} [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>{{1,3,4,6,8},{2,5,7}} [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3,8]=>{{1,3,7},{2,4,5,6},{8}} [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[7,3,4,2,5,1,6,8]=>[8,6,1,5,2,4,3,7]=>{{1,3,7,8},{2,4,5,6}} [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,1,7,8]=>[8,7,1,6,2,5,3,4]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>{{1,3,8},{2,4,5,6,7}} [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7,8]=>{{1,2,3,5,6},{4},{7},{8}} [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,1,5,6]=>[6,5,1,4,3,2,8,7]=>{{1,2,3,5,6},{4},{7,8}} [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5,8]=>{{1,3,5,7},{2,6},{4},{8}} [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,4,1,6,8]=>[8,6,1,4,3,2,5,7]=>{{1,3,5,7,8},{2,6},{4}} [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,4,1,7,8]=>[8,7,1,4,3,2,6,5]=>{{1,3,5,8},{2,6,7},{4}} [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,5,1,6,8]=>[8,6,1,5,3,2,4,7]=>{{1,3,4,5,7,8},{2,6}} [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>{{1,2,3,6,7,8},{4,5}} [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,1,7,8]=>[8,7,1,6,4,2,3,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,1,7,8]=>[8,7,1,6,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}} [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,1,7,8]=>[8,7,1,6,5,2,4,3]=>{{1,3,8},{2,4,6,7},{5}} [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,7]=>{{1,2,3,6,7,8},{4,5}} [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,1,7,8]=>[8,7,1,6,4,3,2,5]=>{{1,3,4,5,6,8},{2,7}} [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>{{1,3,4,6,8},{2,7},{5}} [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]=>{{1,2,3,7,8},{4,6},{5}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}} [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]=>{{1,4},{2,3},{5},{6},{7,8}} [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]=>{{1,4},{2,3},{5},{6,7},{8}} [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]=>{{1,4},{2,3},{5},{6,7,8}} [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]=>{{1,4},{2,3},{5},{6,8},{7}} [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]=>{{1,4},{2,3},{5,6},{7},{8}} [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}} [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6,8]=>{{1,4},{2,3},{5,6,7},{8}} [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]=>{{1,4},{2,3},{5,6,7,8}} [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]=>{{1,4},{2,3},{5,6,8},{7}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]=>{{1,4},{2,3},{5,7},{6},{8}} [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]=>{{1,4},{2,3},{5,7,8},{6}} [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]=>{{1,4},{2,3},{5,6,7,8}} [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}} [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]=>{{1,4,5},{2,3},{6},{7},{8}} [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,1,2,3,5]=>[5,3,2,1,4,6,8,7]=>{{1,4,5},{2,3},{6},{7,8}} [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,8]=>{{1,4,5},{2,3},{6,7},{8}} [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,1,2,3,5]=>[5,3,2,1,4,8,6,7]=>{{1,4,5},{2,3},{6,7,8}} [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,1,2,3,5]=>[5,3,2,1,4,8,7,6]=>{{1,4,5},{2,3},{6,8},{7}} [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,1,2,3,6]=>[6,3,2,1,4,5,8,7]=>{{1,4,5,6},{2,3},{7,8}} [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]=>{{1,4,5,6,7},{2,3},{8}} [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>{{1,4,5,6,7,8},{2,3}} [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,1,2,3,8]=>[8,3,2,1,4,5,7,6]=>{{1,4,5,6,8},{2,3},{7}} [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5,8]=>{{1,4,5,7},{2,3},{6},{8}} [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,1,2,3,8]=>[8,3,2,1,4,6,5,7]=>{{1,4,5,7,8},{2,3},{6}} [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,1,2,3,8]=>[8,3,2,1,4,7,5,6]=>{{1,4,5,6,7,8},{2,3}} [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>{{1,4,5,8},{2,3},{6,7}} [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7,8]=>{{1,4,6},{2,3},{5},{7},{8}} [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,1,2,3,6]=>[6,3,2,1,5,4,8,7]=>{{1,4,6},{2,3},{5},{7,8}} [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6,8]=>{{1,4,6,7},{2,3},{5},{8}} [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]=>{{1,4,6,7,8},{2,3},{5}} [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]=>{{1,4,6,8},{2,3},{5},{7}} [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5,8]=>{{1,4,5,6,7},{2,3},{8}} [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]=>{{1,4,5,6,7,8},{2,3}} [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,1,2,3,8]=>[8,3,2,1,7,4,5,6]=>{{1,4,6,8},{2,3},{5,7}} [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,1,2,3,8]=>[8,3,2,1,7,4,6,5]=>{{1,4,5,6,7,8},{2,3}} [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]=>{{1,4,7,8},{2,3},{5,6}} [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,5]=>{{1,4,5,7,8},{2,3},{6}} [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]=>{{1,4,8},{2,3},{5,7},{6}} [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]=>{{1,2,3,4,5,6},{7},{8}} [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,1,2,4,6]=>[6,4,2,1,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,1,2,4,8]=>[8,4,2,1,3,5,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,1,2,4,8]=>[8,4,2,1,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}} [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,1,2,4,8]=>[8,4,2,1,3,7,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,1,2,4,8]=>[8,4,2,1,3,7,6,5]=>{{1,2,3,4,5,8},{6,7}} [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]=>{{1,4,6,7,8},{2,3,5}} [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]=>{{1,4,6,8},{2,3,5,7}} [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,1,2,6,8]=>[8,6,2,1,3,5,4,7]=>{{1,4,7,8},{2,3,5,6}} [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,1,2,7,8]=>[8,7,2,1,3,5,4,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,1,2,7,8]=>[8,7,2,1,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}} [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,1,2,7,8]=>[8,7,2,1,3,6,5,4]=>{{1,4,8},{2,3,5,7},{6}} [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,1,2,5,8]=>[8,5,2,1,4,3,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]=>{{1,4,5,7,8},{2,3,6}} [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,1,2,7,8]=>[8,7,2,1,4,3,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>{{1,4,5,8},{2,3,6,7}} [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,1,2,6,8]=>[8,6,2,1,5,3,4,7]=>{{1,4,7,8},{2,3,6},{5}} [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,1,2,7,8]=>[8,7,2,1,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}} [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,1,2,6,8]=>[8,6,2,1,5,4,3,7]=>{{1,2,3,4,6,7,8},{5}} [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,1,2,7,8]=>[8,7,2,1,5,4,3,6]=>{{1,4,6,8},{2,3,7},{5}} [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}} [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]=>{{1,2,4,5},{3},{6},{7},{8}} [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6,8]=>{{1,2,4,5},{3},{6,7},{8}} [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,2,1,3,4,5]=>[5,4,3,1,2,8,6,7]=>{{1,2,4,5},{3},{6,7,8}} [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,1,3,4,5]=>[5,4,3,1,2,8,7,6]=>{{1,2,4,5},{3},{6,8},{7}} [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]=>{{1,2,4,5,6},{3},{7},{8}} [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,1,3,4,6]=>[6,4,3,1,2,5,8,7]=>{{1,2,4,5,6},{3},{7,8}} [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]=>{{1,2,4,5,6,7},{3},{8}} [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,1,3,4,8]=>[8,4,3,1,2,5,7,6]=>{{1,2,4,5,6,8},{3},{7}} [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]=>{{1,2,4,5,7},{3},{6},{8}} [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,1,3,4,8]=>[8,4,3,1,2,6,5,7]=>{{1,2,4,5,7,8},{3},{6}} [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,1,3,4,8]=>[8,4,3,1,2,7,6,5]=>{{1,2,4,5,8},{3},{6,7}} [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7]=>{{1,4,6},{2,5},{3},{7,8}} [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>{{1,4,6,7},{2,5},{3},{8}} [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]=>{{1,4,6,7,8},{2,5},{3}} [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,1,3,5,8]=>[8,5,3,1,2,4,7,6]=>{{1,4,6,8},{2,5},{3},{7}} [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,1,3,7,8]=>[8,7,3,1,2,4,6,5]=>{{1,2,4,5,6,7,8},{3}} [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4,8]=>{{1,4,7},{2,5,6},{3},{8}} [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,1,3,6,8]=>[8,6,3,1,2,5,4,7]=>{{1,4,7,8},{2,5,6},{3}} [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]=>{{1,2,4,5,7,8},{3},{6}} [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8]=>{{1,3,4,6},{2,5},{7},{8}} [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,1,4,5,6]=>[6,5,4,1,2,3,8,7]=>{{1,3,4,6},{2,5},{7,8}} [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]=>{{1,3,4,6,7,8},{2,5}} [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,1,4,5,8]=>[8,5,4,1,2,3,7,6]=>{{1,3,4,6,8},{2,5},{7}} [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]=>{{1,3,4,6,8},{2,5,7}} [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,1,4,7,8]=>[8,7,4,1,2,3,6,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>{{1,4,7},{2,3,5,6},{8}} [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>{{1,4,7,8},{2,3,5,6}} [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>{{1,2,4,5,7,8},{3,6}} [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]=>{{1,4,8},{2,5,7},{3,6}} [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[7,3,4,2,1,5,6,8]=>[8,6,5,1,2,4,3,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[6,3,4,2,1,5,7,8]=>[8,7,5,1,2,4,3,6]=>{{1,4,6,8},{2,3,5,7}} [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]=>{{1,4,8},{2,3,5,6,7}} [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,1,4,5,6]=>[6,5,4,1,3,2,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,1,4,5,8]=>[8,5,4,1,3,2,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,1,4,5,8]=>[8,5,4,1,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7]=>{{1,3,4,5,7,8},{2,6}} [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,1,4,7,8]=>[8,7,4,1,3,2,6,5]=>{{1,3,4,5,8},{2,6,7}} [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4,8]=>{{1,4,7},{2,6},{3,5},{8}} [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,1,5,6,8]=>[8,6,5,1,3,2,4,7]=>{{1,4,7,8},{2,6},{3,5}} [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,1,6,7,8]=>[8,7,6,1,3,2,4,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,1,6,7,8]=>[8,7,6,1,3,2,5,4]=>{{1,4,8},{2,3,5,6,7}} [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3,8]=>{{1,3,4,5,7},{2,6},{8}} [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,1,5,7,8]=>[8,7,5,1,4,2,3,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>{{1,4,5,8},{2,3,6,7}} [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]=>{{1,4,8},{2,3,6,7},{5}} [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}} [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,1,5,6,8]=>[8,6,5,1,4,3,2,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,1,5,7,8]=>[8,7,5,1,4,3,2,6]=>{{1,3,4,5,6,8},{2,7}} [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>{{1,4,5,8},{2,7},{3,6}} [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,4]=>{{1,4,8},{2,7},{3,6},{5}} [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]=>{{1,3,4,6,8},{2,7},{5}} [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}} [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,1,2,3,4,5]=>[5,4,3,2,1,6,8,7]=>{{1,5},{2,4},{3},{6},{7,8}} [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]=>{{1,5},{2,4},{3},{6,7},{8}} [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]=>{{1,5},{2,4},{3},{6,7,8}} [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}} [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]=>{{1,5,6},{2,4},{3},{7},{8}} [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,1,2,3,4,6]=>[6,4,3,2,1,5,8,7]=>{{1,5,6},{2,4},{3},{7,8}} [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]=>{{1,5,6,7},{2,4},{3},{8}} [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]=>{{1,5,6,7,8},{2,4},{3}} [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,1,2,3,4,8]=>[8,4,3,2,1,5,7,6]=>{{1,5,6,8},{2,4},{3},{7}} [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]=>{{1,5,7},{2,4},{3},{6},{8}} [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]=>{{1,5,7,8},{2,4},{3},{6}} [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,1,2,3,4,8]=>[8,4,3,2,1,7,5,6]=>{{1,5,6,7,8},{2,4},{3}} [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]=>{{1,5,8},{2,4},{3},{6,7}} [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[8,7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7,8]=>{{1,2,4,5,6},{3},{7},{8}} [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,1,2,3,5,6]=>[6,5,3,2,1,4,8,7]=>{{1,2,4,5,6},{3},{7,8}} [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]=>{{1,2,4,5,6,7},{3},{8}} [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]=>{{1,2,4,5,6,7,8},{3}} [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,1,2,3,5,8]=>[8,5,3,2,1,4,7,6]=>{{1,2,4,5,6,8},{3},{7}} [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]=>{{1,5,7},{2,4,6},{3},{8}} [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]=>{{1,5,7,8},{2,4,6},{3}} [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>{{1,2,4,5,6,7,8},{3}} [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,1,2,3,7,8]=>[8,7,3,2,1,4,6,5]=>{{1,5,8},{2,4,6,7},{3}} [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8]=>{{1,2,4,5,6,7},{3},{8}} [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7]=>{{1,2,4,5,6,7,8},{3}} [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6]=>{{1,5,6,8},{2,4,7},{3}} [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,1,2,3,7,8]=>[8,7,3,2,1,6,4,5]=>{{1,5,8},{2,4,7},{3},{6}} [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]=>{{1,2,4,5,7,8},{3},{6}} [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7,8]=>{{1,2,3,4,5,6},{7},{8}} [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,1,2,4,5,6]=>[6,5,4,2,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,1,2,4,5,8]=>[8,5,4,2,1,3,6,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,1,2,4,5,8]=>[8,5,4,2,1,3,7,6]=>{{1,2,3,4,5,6,8},{7}} [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]=>{{1,5,7},{2,3,4,6},{8}} [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>{{1,5,7,8},{2,3,4,6}} [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,1,2,4,7,8]=>[8,7,4,2,1,3,5,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,1,2,4,7,8]=>[8,7,4,2,1,3,6,5]=>{{1,5,8},{2,3,4,6,7}} [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,1,2,5,6,8]=>[8,6,5,2,1,3,4,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]=>{{1,3,5,6,8},{2,4,7}} [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>{{1,5,8},{2,4,7},{3,6}} [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3,8]=>{{1,3,5,7},{2,4,6},{8}} [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[7,3,4,1,2,5,6,8]=>[8,6,5,2,1,4,3,7]=>{{1,3,5,7,8},{2,4,6}} [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]=>{{1,5,8},{2,3,4,6,7}} [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,1,2,6,7,8]=>[8,7,6,2,1,5,3,4]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8]=>{{1,2,5,6},{3,4},{7},{8}} [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,1,3,4,5,6]=>[6,5,4,3,1,2,8,7]=>{{1,2,5,6},{3,4},{7,8}} [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6,8]=>{{1,2,5,6,7},{3,4},{8}} [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]=>{{1,5,7},{2,6},{3,4},{8}} [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]=>{{1,5,7,8},{2,6},{3,4}} [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]=>{{1,5,8},{2,3,4,6,7}} [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]=>{{1,3,5,7},{2,6},{4},{8}} [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,1,4,5,6,8]=>[8,6,5,4,1,2,3,7]=>{{1,3,5,7,8},{2,6},{4}} [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,1,4,5,7,8]=>[8,7,5,4,1,2,3,6]=>{{1,2,3,5,6,7,8},{4}} [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]=>{{1,5,8},{2,3,6,7},{4}} [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>{{1,4,5,8},{2,3,6,7}} [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,8]=>{{1,2,3,5,6,7},{4},{8}} [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,1,4,5,6,8]=>[8,6,5,4,1,3,2,7]=>{{1,2,3,5,6,7,8},{4}} [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>{{1,3,5,6,8},{2,7},{4}} [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]=>{{1,5,8},{2,7},{3,6},{4}} [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>{{1,4,5,8},{2,7},{3,6}} [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>{{1,3,4,5,6,8},{2,7}} [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>{{1,6},{2,5},{3,4},{7},{8}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}} [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]=>{{1,6,7},{2,5},{3,4},{8}} [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]=>{{1,6,7,8},{2,5},{3,4}} [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,7,1,2,3,4,5,8]=>[8,5,4,3,2,1,7,6]=>{{1,6,8},{2,5},{3,4},{7}} [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>{{1,2,5,6,7},{3,4},{8}} [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>{{1,2,5,6,7,8},{3,4}} [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]=>{{1,6,8},{2,5,7},{3,4}} [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]=>{{1,2,5,6,7,8},{3,4}} [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]=>{{1,6,8},{2,3,4,5,7}} [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[4,5,1,2,3,6,7,8]=>[8,7,6,3,2,1,5,4]=>{{1,3,4,6,8},{2,5,7}} [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]=>{{1,2,3,5,6,7},{4},{8}} [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>{{1,2,3,5,6,7,8},{4}} [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>{{1,2,3,5,6,7,8},{4}} [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>{{1,3,6,8},{2,4,5,7}} [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]=>{{1,2,6,7},{3,5},{4},{8}} [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>{{1,2,6,7,8},{3,5},{4}} [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]=>{{1,6,8},{2,7},{3,5},{4}} [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>{{1,3,5,6,8},{2,7},{4}} [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]=>{{1,3,4,5,6,8},{2,7}} [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>{{1,3,6,8},{2,7},{4,5}} [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]=>{{1,2,3,6,7,8},{4,5}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}} [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>{{1,7,8},{2,6},{3,5},{4}} [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]=>{{1,2,6,7,8},{3,5},{4}} [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>{{1,2,3,5,6,7,8},{4}} [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>{{1,2,3,6,7,8},{4,5}} [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>{{1,2,7,8},{3,6},{4,5}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>{{1,8},{2,7},{3,6},{4,5},{9}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>{{1},{2,9},{3,8},{4,7},{5,6}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>{{1,9},{2,8},{3,7},{4,6},{5},{10}} [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]=>{{1,2,7,8},{3,6},{4,5},{9}} [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,3]=>{{1},{2,3,8,9},{4,7},{5,6}} [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>{{1},{2,10},{3,9},{4,8},{5,7},{6}} [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>{{1,10},{2,9},{3,8},{4,7},{5,6},{11}} [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2,10]=>{{1,2,8,9},{3,7},{4,6},{5},{10}} [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[9,3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3,9]=>{{1,2,3,6,7,8},{4,5},{9}} [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[4,2,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,2,4]=>{{1},{2,3,4,7,8,9},{5,6}} [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,4,3]=>{{1},{2,3,4,7,8,9},{5,6}} [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,2,3]=>{{1},{2,3,9,10},{4,8},{5,7},{6}} [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>{{1},{2,11},{3,10},{4,9},{5,8},{6,7}} [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>{{1,11},{2,10},{3,9},{4,8},{5,7},{6},{12}} [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[10,3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3,10]=>{{1,2,3,7,8,9},{4,6},{5},{10}} [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[9,4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4,9]=>{{1,2,3,4,5,6,7,8},{9}} [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[9,3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3,9]=>{{1,3,6,8},{2,7},{4,5},{9}} [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[5,2,3,4,6,7,8,9,1]=>[1,9,8,7,6,4,3,2,5]=>{{1},{2,3,4,5,6,7,8,9}} [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,3,4]=>{{1},{2,4,7,9},{3,8},{5,6}} [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[4,2,3,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,3,2,4]=>{{1},{2,3,4,8,9,10},{5,7},{6}} [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,9,1]=>[1,9,8,7,6,2,5,4,3]=>{{1},{2,3,4,5,6,7,8,9}} [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,2,4,3]=>{{1},{2,3,4,8,9,10},{5,7},{6}} [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>[10,4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4,10]=>{{1,2,3,4,6,7,8,9},{5},{10}} [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[6,2,3,4,5,7,8,9,1]=>[1,9,8,7,5,4,3,2,6]=>{{1},{2,3,4,6,7,8,9},{5}} [1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[5,2,3,4,6,7,8,9,10,1]=>[1,10,9,8,7,6,4,3,2,5]=>{{1},{2,3,4,5,7,8,9,10},{6}} [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[4,5,2,3,6,7,8,9,1]=>[1,9,8,7,6,3,2,5,4]=>{{1},{2,4,7,9},{3,5,6,8}} [1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,5,4,3]=>{{1},{2,3,4,5,7,8,9,10},{6}} [1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,2,4,3]=>{{1},{2,3,4,9,10,11},{5,8},{6,7}} [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[9,6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6,9]=>{{1,2,6,7,8},{3,5},{4},{9}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,2,3,4,5,6,8,9,1]=>[1,9,8,6,5,4,3,2,7]=>{{1},{2,3,7,8,9},{4,6},{5}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[6,2,3,4,5,7,8,9,10,1]=>[1,10,9,8,7,5,4,3,2,6]=>{{1},{2,3,4,5,6,7,8,9,10}} [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,2,8,9,1]=>[1,9,8,2,7,6,5,4,3]=>{{1},{2,3,4,8,9},{5,7},{6}} [1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,2,5,4,3]=>{{1},{2,3,4,5,8,9,10,11},{6,7}} [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[10,6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6,10]=>{{1,2,3,6,7,8,9},{4,5},{10}} [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9]=>{{1,7,8},{2,6},{3,5},{4},{9}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8]=>{{1,7},{2,6},{3,5},{4},{8,9}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[8,2,3,4,5,6,7,9,1]=>[1,9,7,6,5,4,3,2,8]=>{{1},{2,8,9},{3,7},{4,6},{5}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[7,2,3,4,5,6,8,9,10,1]=>[1,10,9,8,6,5,4,3,2,7]=>{{1},{2,3,4,7,8,9,10},{5,6}} [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,3]=>{{1,2},{3,9},{4,8},{5,7},{6}} [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,9,1]=>[1,9,2,8,7,6,5,4,3]=>{{1},{2,3,9},{4,8},{5,7},{6}} [1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,2,8,9,10,1]=>[1,10,9,8,2,7,6,5,4,3]=>{{1},{2,3,4,5,8,9,10},{6,7}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[10,7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7,10]=>{{1,2,7,8,9},{3,6},{4,5},{10}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>{{1,7},{2,6},{3,5},{4},{8},{9}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>{{1},{2,8},{3,7},{4,6},{5},{9}} [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[8,9,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,9,8]=>{{1,2,6,7},{3,5},{4},{8,9}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,2,3,4,5,6,7,9,10,1]=>[1,10,9,7,6,5,4,3,2,8]=>{{1},{2,3,8,9,10},{4,7},{5,6}} [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,3,4]=>{{1,2},{3,4,8,9},{5,7},{6}} [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,4,3]=>{{1},{2},{3,9},{4,8},{5,7},{6}} [1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,9,10,1]=>[1,10,9,2,8,7,6,5,4,3]=>{{1},{2,3,4,9,10},{5,8},{6,7}} [1,0,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,2,8,9,10,11,1]=>[1,11,10,9,8,2,7,6,5,4,3]=>{{1},{2,3,4,5,6,8,9,10,11},{7}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[10,8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8,10]=>{{1,8,9},{2,7},{3,6},{4,5},{10}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>{{1,8},{2,7},{3,6},{4,5},{9,10}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[9,2,3,4,5,6,7,8,10,1]=>[1,10,8,7,6,5,4,3,2,9]=>{{1},{2,9,10},{3,8},{4,7},{5,6}} [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[8,9,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,9,8]=>{{1,2,3,5,6,7},{4},{8,9}} [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[8,9,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,9,8]=>{{1,2,3,5,6,7},{4},{8,9}} [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[5,3,4,6,7,8,9,1,2]=>[2,1,9,8,7,6,4,3,5]=>{{1,2},{3,4,5,7,8,9},{6}} [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[4,5,3,6,7,8,9,1,2]=>[2,1,9,8,7,6,3,5,4]=>{{1,2},{3,4,5,7,8,9},{6}} [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]=>{{1,2},{3,10},{4,9},{5,8},{6,7}} [1,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,9,10,11,1]=>[1,11,10,9,2,8,7,6,5,4,3]=>{{1},{2,3,4,5,9,10,11},{6,8},{7}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>{{1,8},{2,7},{3,6},{4,5},{9},{10}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>{{1},{2,9},{3,8},{4,7},{5,6},{10}} [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,10,9]=>{{1,2,7,8},{3,6},{4,5},{9,10}} [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[4,3,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,3,4]=>{{1,2},{3,4,9,10},{5,8},{6,7}} [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,4,3]=>{{1},{2},{3,10},{4,9},{5,8},{6,7}} []=>[]=>[]=>{} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,7]=>{{1,2,3,4,5,6,7,9},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[8,6,7,5,4,3,2,1,9]=>[9,1,2,3,4,5,7,6,8]=>{{1,2,3,4,5,6,8,9},{7}} [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[7,6,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,6,7]=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[6,7,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,7,6]=>{{1,2,3,4,5,6,9},{7,8}} [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[8,6,5,7,4,3,2,1,9]=>[9,1,2,3,4,7,5,6,8]=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[7,6,5,8,4,3,2,1,9]=>[9,1,2,3,4,8,5,6,7]=>{{1,2,3,4,5,7,9},{6,8}} [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[7,5,6,8,4,3,2,1,9]=>[9,1,2,3,4,8,6,5,7]=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>{{1,2,3,4,6,7,8,9},{5}} [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[8,7,5,4,6,3,2,1,9]=>[9,1,2,3,6,4,5,7,8]=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,3,5,2,1,9]=>[9,1,2,5,3,4,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,8,2,1,9]=>[9,1,2,8,3,4,5,6,7]=>{{1,2,3,5,7,9},{4,6,8}} [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[7,6,5,3,4,8,2,1,9]=>[9,1,2,8,4,3,5,6,7]=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,3,1,9]=>[9,1,3,2,4,5,6,7,8]=>{{1,2,4,5,6,7,8,9},{3}} [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,2,8,1,9]=>[9,1,8,2,3,4,5,6,7]=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[5,4,6,3,7,2,8,1,9]=>[9,1,8,2,7,3,6,4,5]=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,3,2]=>{{1,2,9},{3,8},{4,7},{5,6}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>{{1,3,4,5,6,7,8,9},{2}} [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[7,8,5,6,3,4,1,2,9]=>[9,2,1,4,3,6,5,8,7]=>{{1,3,5,7,9},{2},{4},{6},{8}} [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2,9]=>[9,2,1,8,7,6,5,4,3]=>{{1,3,9},{2},{4,8},{5,7},{6}} [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9}} [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,3,2,1,4,9]=>[9,4,1,2,3,5,6,7,8]=>{{1,3,5,6,7,8,9},{2,4}} [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[8,7,5,4,3,2,1,6,9]=>[9,6,1,2,3,4,5,7,8]=>{{1,3,5,7,8,9},{2,4,6}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,6,5,4,3,2,1,7,9]=>[9,7,1,2,3,4,5,6,8]=>{{1,2,3,4,5,6,7,8,9}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>{{1,3,5,7,9},{2,4,6,8}} [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[6,5,4,7,3,2,1,8,9]=>[9,8,1,2,3,7,4,5,6]=>{{1,2,3,4,5,6,7,8,9}} [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>[9,8,1,7,6,5,4,3,2]=>{{1,2,3,8,9},{4,7},{5,6}} [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[8,7,6,3,2,1,4,5,9]=>[9,5,4,1,2,3,6,7,8]=>{{1,3,4,6,7,8,9},{2,5}} [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[8,6,5,3,2,1,4,7,9]=>[9,7,4,1,2,3,5,6,8]=>{{1,3,4,6,8,9},{2,5,7}} [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[7,6,5,3,2,1,4,8,9]=>[9,8,4,1,2,3,5,6,7]=>{{1,2,3,4,5,6,7,8,9}} [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[7,5,4,3,2,1,6,8,9]=>[9,8,6,1,2,3,4,5,7]=>{{1,4,7,9},{2,5,8},{3,6}} [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>{{1,3,4,6,7,9},{2,5,8}} [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5]=>{{1,5,9},{2,4},{3},{6,8},{7}} [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[5,6,3,4,1,2,7,8,9]=>[9,8,7,2,1,4,3,6,5]=>{{1,5,9},{2,4,6,8},{3,7}} [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8]=>{{1,2,3,4,5,6,7,8,9}} [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[6,4,3,2,1,5,7,8,9]=>[9,8,7,5,1,2,3,4,6]=>{{1,2,4,5,6,8,9},{3,7}} [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>{{1,5,9},{2,4,6,8},{3,7}} [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[8,7,6,1,2,3,4,5,9]=>[9,5,4,3,2,1,6,7,8]=>{{1,6,7,8,9},{2,5},{3,4}} [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9]=>[9,8,7,3,2,1,6,5,4]=>{{1,3,4,6,7,9},{2,5,8}} [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[5,3,2,1,4,6,7,8,9]=>[9,8,7,6,4,1,2,3,5]=>{{1,4,5,6,9},{2,3,7,8}} [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>{{1,4,6,9},{2,3,7,8},{5}} [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,7,8]=>{{1,7,8,9},{2,6},{3,5},{4}} [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,8,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,8,7]=>{{1,7,9},{2,6},{3,5},{4},{8}} [1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[7,6,1,2,3,4,5,8,9]=>[9,8,5,4,3,2,1,6,7]=>{{1,7,9},{2,6,8},{3,5},{4}} [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[5,4,1,2,3,6,7,8,9]=>[9,8,7,6,3,2,1,4,5]=>{{1,3,5,7,9},{2,4,6,8}} [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,3,4]=>{{1,2,3,4,6,7,8,9},{5}} [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,4,3]=>{{1,3,7,9},{2,4,6,8},{5}} [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[8,2,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,2,8]=>{{1,2,7,8,9},{3,6},{4,5}} [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[4,2,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,2,4]=>{{1,3,4,6,7,9},{2,8},{5}} [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>{{1,3,7,9},{2,8},{4,6},{5}} [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,3,2]=>{{1,2,3,7,8,9},{4,6},{5}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8]=>{{1,8,9},{2,7},{3,6},{4,5}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7]=>{{1,2,7,8,9},{3,6},{4,5}} [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6]=>{{1,2,3,6,7,8,9},{4,5}} [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,1,5]=>{{1,2,3,4,5,6,7,8,9}} [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4]=>{{1,2,3,4,6,7,8,9},{5}} [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3]=>{{1,2,3,7,8,9},{4,6},{5}} [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>{{1,2,8,9},{3,7},{4,6},{5}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>{{1,9},{2,8},{3,7},{4,6},{5}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>{{1},{2},{3},{4},{5},{6},{7,8,9}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>{{1},{2},{3},{4},{5},{6,7,8,9}} [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>{{1},{2},{3},{4},{5,6,7,8,9}} [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,9,3,2,1]=>[1,2,3,9,4,5,6,7,8]=>{{1},{2},{3},{4,5,6,7,8,9}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,9,2,1]=>[1,2,9,3,4,5,6,7,8]=>{{1},{2},{3,4,5,6,7,8,9}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>{{1},{2,3,4,5,6,7,8,9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,7]=>{{1},{2},{3},{4},{5},{6},{7,9},{8}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>{{1},{2},{3},{4},{5},{6},{7},{8,9,10}} [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,9,7,6,8]=>{{1},{2},{3},{4},{5},{6,8,9},{7}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>{{1},{2},{3},{4},{5},{6},{7,8,9,10}} [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[8,7,5,6,9,4,3,2,1]=>[1,2,3,4,9,6,5,7,8]=>{{1},{2},{3},{4},{5,7,8,9},{6}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>{{1},{2},{3},{4},{5},{6,7,8,9,10}} [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,9,3,2,1]=>[1,2,3,9,5,4,6,7,8]=>{{1},{2},{3},{4,6,7,8,9},{5}} [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>{{1},{2},{3},{4},{5,6,7,8,9,10}} [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,3,4,9,2,1]=>[1,2,9,4,3,5,6,7,8]=>{{1},{2},{3,5,6,7,8,9},{4}} [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>{{1},{2},{3},{4,5,6,7,8,9,10}} [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,3,9,1]=>[1,9,3,2,4,5,6,7,8]=>{{1},{2,4,5,6,7,8,9},{3}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,10,2,1]=>[1,2,10,3,4,5,6,7,8,9]=>{{1},{2},{3,4,5,6,7,8,9,10}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>{{1},{2,3,4,5,6,7,8,9,10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10},{11}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[10,11,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,11,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[8,9,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,9,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,10},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[10,9,11,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,11,9,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10,11}} [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,5,4,3,2,1]=>[1,2,3,4,5,9,8,7,6]=>{{1},{2},{3},{4},{5},{6,9},{7,8}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]=>{{1,3,4,5,6,7,8,9,10},{2}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>{{1},{2,3,4,5,6,7,8,9,10,11}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>{{1,2,3,4,5,6,7,8,9,10,11}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[9,10,11,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,11,10,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,11},{10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[11,10,12,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,12,10,11]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11,12}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,9,8,7]=>{{1},{2},{3},{4},{5},{6},{7,10},{8,9}} [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,2,1,3,10]=>[10,3,1,2,4,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,1,2,11]=>[11,2,1,3,4,5,6,7,8,9,10]=>{{1,3,4,5,6,7,8,9,10,11},{2}} [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,4,3,2,1]=>[1,2,3,4,9,8,7,6,5]=>{{1},{2},{3},{4},{5,9},{6,8},{7}} [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,3,2,1,4,10]=>[10,4,1,2,3,5,6,7,8,9]=>{{1,3,5,6,7,8,9,10},{2,4}} [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,2,1,3,11]=>[11,3,1,2,4,5,6,7,8,9,10]=>{{1,2,3,4,5,6,7,8,9,10,11}} [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]=>{{1},{2},{3},{4},{5},{6,10},{7,9},{8}} [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,3,2,1,4,11]=>[11,4,1,2,3,5,6,7,8,9,10]=>{{1,3,5,6,7,8,9,10,11},{2,4}} [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,3,2,1,4,5,10]=>[10,5,4,1,2,3,6,7,8,9]=>{{1,3,4,6,7,8,9,10},{2,5}} [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[9,8,7,5,4,3,2,1,6,10]=>[10,6,1,2,3,4,5,7,8,9]=>{{1,3,5,7,8,9,10},{2,4,6}} [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,3,2,1]=>[1,2,3,9,8,7,6,5,4]=>{{1},{2},{3},{4,9},{5,8},{6,7}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[9,8,6,5,4,3,2,1,7,10]=>[10,7,1,2,3,4,5,6,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,4,3,2,1]=>[1,2,3,4,10,9,8,7,6,5]=>{{1},{2},{3},{4},{5,10},{6,9},{7,8}} [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,5,4,3,2,1,6,11]=>[11,6,1,2,3,4,5,7,8,9,10]=>{{1,3,5,7,8,9,10,11},{2,4,6}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[10,9,8,6,5,4,3,2,1,7,11]=>[11,7,1,2,3,4,5,6,8,9,10]=>{{1,2,3,4,5,6,7,8,9,10,11}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9]=>{{1},{2},{3},{4},{5},{6},{7,8},{9}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9]=>{{1},{2},{3},{4},{5},{6,7},{8},{9}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,9,8]=>{{1},{2},{3},{4},{5},{6,7},{8,9}} [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9]=>{{1},{2},{3},{4},{5,6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7,9]=>{{1},{2},{3},{4},{5,6},{7,8},{9}} [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[7,8,9,5,6,4,3,2,1]=>[1,2,3,4,6,5,9,8,7]=>{{1},{2},{3},{4},{5,6},{7,9},{8}} [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9]=>{{1},{2},{3},{4,5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,9,8]=>{{1},{2},{3},{4,5},{6,7},{8,9}} [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,4,5,3,2,1]=>[1,2,3,5,4,9,8,7,6]=>{{1},{2},{3},{4,5},{6,9},{7,8}} [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[7,8,9,4,5,6,3,2,1]=>[1,2,3,6,5,4,9,8,7]=>{{1},{2},{3},{4,6},{5},{7,9},{8}} [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9]=>{{1},{2},{3,4},{5},{6},{7},{8},{9}} [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[7,8,9,5,6,3,4,2,1]=>[1,2,4,3,6,5,9,8,7]=>{{1},{2},{3,4},{5,6},{7,9},{8}} [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,3,4,2,1]=>[1,2,4,3,9,8,7,6,5]=>{{1},{2},{3,4},{5,9},{6,8},{7}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9]=>{{1},{2,3},{4},{5},{6},{7},{8},{9}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,9,8]=>{{1},{2,3},{4},{5},{6},{7},{8,9}} [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[7,8,9,6,5,4,2,3,1]=>[1,3,2,4,5,6,9,8,7]=>{{1},{2,3},{4},{5},{6},{7,9},{8}} [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8,9]=>{{1},{2,3},{4,5},{6},{7},{8},{9}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8]=>{{1},{2,3},{4,5},{6,7},{8,9}} [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,4,5,2,3,1]=>[1,3,2,5,4,9,8,7,6]=>{{1},{2,3},{4,5},{6,9},{7,8}} [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[7,8,9,4,5,6,2,3,1]=>[1,3,2,6,5,4,9,8,7]=>{{1},{2,3},{4,6},{5},{7,9},{8}} [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,2,3,1]=>[1,3,2,9,8,7,6,5,4]=>{{1},{2,3},{4,9},{5,8},{6,7}} [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8,9]=>{{1},{2,4},{3},{5},{6},{7},{8},{9}} [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,2,3,4,1]=>[1,4,3,2,9,8,7,6,5]=>{{1},{2,4},{3},{5,9},{6,8},{7}} [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,2,3,4,5,1]=>[1,5,4,3,2,9,8,7,6]=>{{1},{2,5},{3,4},{6,9},{7,8}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[8,9,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,9,8]=>{{1},{2,7},{3,6},{4,5},{8,9}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>{{1,2},{3},{4},{5},{6},{7},{8},{9}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>{{1,2},{3},{4},{5},{6},{7},{8,9}} [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7,9]=>{{1,2},{3},{4},{5},{6},{7,8},{9}} [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9]=>{{1,2},{3,4},{5},{6},{7},{8},{9}} [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,9]=>{{1,2},{3,4},{5,6},{7},{8},{9}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9]=>{{1,2},{3,4},{5,6},{7,8},{9}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[7,8,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,8,7]=>{{1,2},{3,4},{5,6},{7,9},{8}} [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,3,4,1,2]=>[2,1,4,3,9,8,7,6,5]=>{{1,2},{3,4},{5,9},{6,8},{7}} [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,3,4,5,1,2]=>[2,1,5,4,3,9,8,7,6]=>{{1,2},{3,5},{4},{6,9},{7,8}} [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,9]=>{{1,2},{3,8},{4,7},{5,6},{9}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>{{1,3},{2},{4},{5},{6},{7},{8},{9}} [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8,9]=>{{1,3},{2},{4,5},{6},{7},{8},{9}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8]=>{{1,3},{2},{4,5},{6,7},{8,9}} [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[9,8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8,9]=>{{1,3},{2},{4,6},{5},{7},{8},{9}} [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]=>{{1,3},{2},{4,6},{5},{7,9},{8}} [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,1,2,3]=>[3,2,1,9,8,7,6,5,4]=>{{1,3},{2},{4,9},{5,8},{6,7}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>{{1,4},{2,3},{5},{6},{7},{8},{9}} [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8,9]=>{{1,4},{2,3},{5,6},{7},{8},{9}} [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,9]=>{{1,4},{2,3},{5,6},{7,8},{9}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[9,8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8,9]=>{{1,4},{2,3},{5,7},{6},{8},{9}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8]=>{{1,4},{2,3},{5,7},{6},{8,9}} [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[9,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,9]=>{{1,4},{2,3},{5,8},{6,7},{9}} [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,1,2,3,4]=>[4,3,2,1,9,8,7,6,5]=>{{1,4},{2,3},{5,9},{6,8},{7}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>{{1,5},{2,4},{3},{6},{7},{8},{9}} [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8,9]=>{{1,5},{2,4},{3},{6,7},{8},{9}} [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[9,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,9]=>{{1,5},{2,4},{3},{6,8},{7},{9}} [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6]=>{{1,5},{2,4},{3},{6,9},{7,8}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>{{1,6},{2,5},{3,4},{7},{8},{9}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9]=>{{1,6},{2,5},{3,4},{7,8},{9}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7]=>{{1,6},{2,5},{3,4},{7,9},{8}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[10,8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8,10]=>{{1},{2},{3},{4},{5},{6},{7},{8,9},{10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[10,9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9,10]=>{{1},{2},{3},{4},{5},{6},{7,8},{9},{10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,10,9]=>{{1},{2},{3},{4},{5},{6},{7,8},{9,10}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[10,9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]=>{{1},{2},{3},{4},{5},{6,7},{8},{9},{10}} [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>{{1},{2},{3},{4},{5,6},{7},{8},{9},{10}} [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7,10,9]=>{{1},{2},{3},{4},{5,6},{7,8},{9,10}} [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9,10]=>{{1},{2},{3},{4,5},{6},{7},{8},{9},{10}} [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,3,2,1]=>[1,2,3,10,9,8,7,6,5,4]=>{{1},{2},{3},{4,10},{5,9},{6,8},{7}} [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9,10]=>{{1},{2},{3,4},{5},{6},{7},{8},{9},{10}} [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7,10,9]=>{{1},{2},{3,4},{5,6},{7,8},{9,10}} [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,3,4,5,6,2,1]=>[1,2,6,5,4,3,10,9,8,7]=>{{1},{2},{3,6},{4,5},{7,10},{8,9}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9,10]=>{{1},{2,3},{4},{5},{6},{7},{8},{9},{10}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>{{1},{2,3},{4,5},{6,7},{8,9},{10}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[8,9,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,9,8]=>{{1},{2,3},{4,5},{6,7},{8,10},{9}} [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,4,5,6,2,3,1]=>[1,3,2,6,5,4,10,9,8,7]=>{{1},{2,3},{4,6},{5},{7,10},{8,9}} [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,2,3,1]=>[1,3,2,10,9,8,7,6,5,4]=>{{1},{2,3},{4,10},{5,9},{6,8},{7}} [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[8,9,10,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,10,9,8]=>{{1},{2,4},{3},{5,7},{6},{8,10},{9}} [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,2,3,4,1]=>[1,4,3,2,10,9,8,7,6,5]=>{{1},{2,4},{3},{5,10},{6,9},{7,8}} [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,2,3,4,5,1]=>[1,5,4,3,2,10,9,8,7,6]=>{{1},{2,5},{3,4},{6,10},{7,9},{8}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>{{1,2},{3},{4},{5},{6},{7},{8},{9,10}} [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9,10]=>{{1,2},{3,4},{5},{6},{7},{8},{9},{10}} [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,9,10]=>{{1,2},{3,4},{5,6},{7},{8},{9},{10}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[10,9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9,10]=>{{1,2},{3,4},{5,6},{7,8},{9},{10}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,10}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,9,8,7]=>{{1,2},{3,4},{5,6},{7,10},{8,9}} [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[8,9,10,5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5,10,9,8]=>{{1,2},{3,4},{5,7},{6},{8,10},{9}} [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,3,4,5,6,1,2]=>[2,1,6,5,4,3,10,9,8,7]=>{{1,2},{3,6},{4,5},{7,10},{8,9}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]=>{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8,9,10]=>{{1,3},{2},{4,5},{6},{7},{8},{9},{10}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8,10]=>{{1,3},{2},{4,5},{6,7},{8,9},{10}} [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7,10,9]=>{{1,3},{2},{4,6},{5},{7,8},{9,10}} [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,4,5,6,1,2,3]=>[3,2,1,6,5,4,10,9,8,7]=>{{1,3},{2},{4,6},{5},{7,10},{8,9}} [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,1,2,3]=>[3,2,1,10,9,8,7,6,5,4]=>{{1,3},{2},{4,10},{5,9},{6,8},{7}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]=>{{1,4},{2,3},{5},{6},{7},{8},{9},{10}} [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9]=>{{1,4},{2,3},{5,6},{7,8},{9,10}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[8,9,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,9,8]=>{{1,4},{2,3},{5,7},{6},{8,10},{9}} [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[10,9,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,9,10]=>{{1,4},{2,3},{5,8},{6,7},{9},{10}} [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9]=>{{1,4},{2,3},{5,8},{6,7},{9,10}} [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,1,2,3,4]=>[4,3,2,1,10,9,8,7,6,5]=>{{1,4},{2,3},{5,10},{6,9},{7,8}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>{{1,5},{2,4},{3},{6},{7},{8},{9},{10}} [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8,10]=>{{1,5},{2,4},{3},{6,7},{8,9},{10}} [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[10,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,10]=>{{1,5},{2,4},{3},{6,9},{7,8},{10}} [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>{{1,5},{2,4},{3},{6,10},{7,9},{8}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>{{1,6},{2,5},{3,4},{7},{8},{9},{10}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[10,7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7,10]=>{{1,6},{2,5},{3,4},{7,9},{8},{10}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]=>{{1,6},{2,5},{3,4},{7,10},{8,9}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>{{1,7},{2,6},{3,5},{4},{8},{9},{10}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[10,8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8,10]=>{{1,7},{2,6},{3,5},{4},{8,9},{10}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,9,8]=>{{1,7},{2,6},{3,5},{4},{8,10},{9}} [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>{{1,10},{2,9},{3,8},{4,7},{5,6}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9]=>{{1,2,3},{4},{5},{6},{7},{8},{9}} [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9]=>{{1,2,3,4},{5},{6},{7},{8},{9}} [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9]=>{{1,2,3,4,5},{6},{7},{8},{9}} [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9]=>{{1,2,3,4,5,6},{7},{8},{9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]=>{{1,2,3,4,5,6,7},{8},{9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>{{1,2,3,4,5,6,7,8},{9}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10]=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}} [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9,10]=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}} [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9,10]=>{{1,2,3,4,5},{6},{7},{8},{9},{10}} [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9,10]=>{{1,2,3,4,5,6},{7},{8},{9},{10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[10,9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9,10]=>{{1,2,3,4,5,6,7},{8},{9},{10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[10,9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9,10]=>{{1,2,3,4,5,6,7,8},{9},{10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>{{1,2,3,4,5,6,7,8,9},{10}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,11]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}} [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,3,1,2]=>[2,1,3,4,5,6,9,7,8]=>{{1,2},{3},{4},{5},{6},{7,8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,9,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,9,8]=>{{1,2,3,4,5,6,7,8,10},{9}} [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3]=>{{1,2,3,8,9,10},{4,7},{5,6}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[9,8,10,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,10,8,9]=>{{1,2},{3},{4},{5},{6},{7},{8,9,10}} [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,2,1,3]=>[3,1,2,4,5,6,9,7,8]=>{{1,2,3},{4},{5},{6},{7,8,9}} [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,2,3,1]=>[1,3,2,4,5,6,9,7,8]=>{{1},{2,3},{4},{5},{6},{7,8,9}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,9,8]=>{{1,2,3},{4},{5},{6},{7},{8,9}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9]=>{{1,2,3,4},{5},{6},{7},{8},{9}} [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,4,3,2]=>{{1,2,10},{3,9},{4,8},{5,7},{6}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9]=>{{1,9,10},{2,8},{3,7},{4,6},{5}} [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,2,1,10]=>{{1,10,11},{2,9},{3,8},{4,7},{5,6}} [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[9,2,1,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,1,2,9]=>{{1,2,8,9,10},{3,7},{4,6},{5}} [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>{{1,2,9,10},{3,8},{4,7},{5,6}} [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2]=>{{1,2,10,11},{3,9},{4,8},{5,7},{6}} [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,4,3,2,5,1,10]=>[10,1,5,2,3,4,6,7,8,9]=>{{1,2,4,6,7,8,9,10},{3,5}} [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,4,3,5,2,1,10]=>[10,1,2,5,3,4,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,4,5,3,2,1,10]=>[10,1,2,3,5,4,6,7,8,9]=>{{1,2,3,4,6,7,8,9,10},{5}} [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,4,3,2,7,8,9,10,1]=>[1,10,9,8,7,2,3,4,5,6]=>{{1},{2,6,10},{3,5,7,9},{4,8}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7,9]=>{{1,3,4,5,6,7,8},{2},{9}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,8,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,8,7]=>{{1},{2,3,4,5,6,7,9},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[8,9,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,9,8]=>{{1,2,3,4,5,6,7},{8,9}} [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,7,8]=>{{1,2},{3,4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[7,8,9,5,4,3,2,1,6]=>[6,1,2,3,4,5,9,8,7]=>{{1,2,3,4,5,6},{7,9},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[7,8,9,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,9,8,7]=>{{1,2,3,4,5,6,7,10},{8,9}} [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>{{1,4,7,10},{2,3,5,6,8,9}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[8,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,8]=>{{1,2,8,9,10},{3,7},{4,6},{5}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7]=>{{1,2,3,7,8,9,10},{4,6},{5}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6]=>{{1,2,3,4,6,7,8,9,10},{5}} [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,5]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4]=>{{1,2,3,4,7,8,9,10},{5,6}} [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[8,9,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,9,8]=>{{1},{2},{3},{4},{5,6,7},{8,9}} [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[9,8,7,5,6,4,3,2,1,10]=>[10,1,2,3,4,6,5,7,8,9]=>{{1,2,3,4,5,7,8,9,10},{6}} [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8,9]=>{{1,2,3,4,5},{6,7},{8},{9}} [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8]=>{{1,2,3},{4,5},{6,7},{8,9}} [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7,10,9]=>{{1,2,4},{3},{5,6},{7,8},{9,10}} [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7,10,9]=>{{1,2,4,6},{3},{5},{7,8},{9,10}} [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[9,10,6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6,10,9]=>{{1,2,4,6,8},{3},{5},{7},{9,10}} [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[8,9,6,7,4,5,2,3,1,10]=>[10,1,3,2,5,4,7,6,9,8]=>{{1,2,4,6,8,10},{3},{5},{7},{9}} [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[8,9,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,9,8]=>{{1,2,3},{4,6,7},{5},{8,9}} [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,9,8]=>{{1},{2,4,5},{3},{6,7},{8,9}} [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8,10]=>{{1,2,3},{4,5},{6,7},{8,9},{10}} [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[8,7,6,9,5,3,2,1,4]=>[4,1,2,3,5,9,6,7,8]=>{{1,2,3,4},{5},{6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[8,7,9,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,9,7,8]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[8,7,6,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,6,7,8]=>{{1,2,3,4,5,6,8,10},{7,9}} [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,9,3,2,1,10]=>[10,1,2,3,9,4,5,6,7,8]=>{{1,2,3,4,6,8,10},{5,7,9}} [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,9,2,1,10]=>[10,1,2,9,3,4,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[9,8,10,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,10,8,9]=>{{1,2,3,4,5,6,7,8,9,10,11}} [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[8,6,7,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,7,6,8]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[9,8,7,10,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,10,7,8,9]=>{{1,2,3,4,5,6,7,9,11},{8,10}} [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,8,7,6,5,10,4,3,2,1,11]=>[11,1,2,3,4,10,5,6,7,8,9]=>{{1,2,3,4,5,7,9,11},{6,8,10}} [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,8,7,6,5,4,10,3,2,1,11]=>[11,1,2,3,10,4,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10,11}} [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,8,7,6,5,4,3,2,10,1,11]=>[11,1,10,2,3,4,5,6,7,8,9]=>{{1,2,3,4,5,6,7,8,9,10,11}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,8,7,6,5,4,3,2,1,10,11]=>[11,10,1,2,3,4,5,6,7,8,9]=>{{1,3,5,7,9,11},{2,4,6,8,10}} [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,1,4,3]=>{{1,3,8,10},{2,4,7,9},{5,6}} [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9,10]=>[10,9,8,7,3,2,1,6,5,4]=>{{1,4,7,10},{2,3,5,6,8,9}} [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9,10]=>[10,9,4,3,2,1,8,7,6,5]=>{{1,2,5,6,9,10},{3,4},{7,8}} [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[10,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,10]=>{{1,2,3,4,5,6,7,8,9},{10}} [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>{{1,11},{2,10},{3,9},{4,8},{5,7},{6}} [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,11,1,2]=>[2,1,11,10,9,8,7,6,5,4,3]=>{{1,2},{3,11},{4,10},{5,9},{6,8},{7}} [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[10,5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5,10]=>{{1,5,9},{2,4,6,8},{3,7},{10}} [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[11,1,10,9,8,7,6,5,4,3,2]=>{{1,2,11},{3,10},{4,9},{5,8},{6,7}} [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>[11,1,2,3,4,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>{{1,11,12},{2,10},{3,9},{4,8},{5,7},{6}} [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>[9,3,1,2,4,5,6,7,8,10]=>[10,8,7,6,5,4,2,1,3,9]=>{{1,2,3,7,8,9,10},{4,6},{5}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10,11]=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10},{11}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[7,8,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,8,7]=>{{1},{2},{3},{4},{5},{6,7,9},{8}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,11,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,11,10]=>{{1,9},{2,8},{3,7},{4,6},{5},{10,11}} [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>{{1,2,5,6,9,10},{3,4,7,8}} [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[9,8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8,9]=>{{1,2,5,6},{3,4},{7},{8},{9}} [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8,9]=>{{1,2,4,5},{3},{6},{7},{8},{9}} [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8,9]=>{{1},{2,3,4},{5},{6},{7},{8},{9}} [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,10,1,2]=>[2,1,10,3,4,5,6,7,8,9]=>{{1,2},{3,4,5,6,7,8,9,10}} [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,9,2,1,3]=>[3,1,2,9,4,5,6,7,8]=>{{1,2,3},{4,5,6,7,8,9}} [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>{{1,3,8,10},{2,9},{4,7},{5,6}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[11,9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9,11]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10},{11}} [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[9,8,7,10,5,4,3,2,1,6]=>[6,1,2,3,4,5,10,7,8,9]=>{{1,2,3,4,5,6},{7,8,9,10}} [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[8,9,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,9,8]=>{{1},{2,3,4,5,6,7},{8,9}} [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>{{1,5,6,10},{2,4,7,9},{3,8}} [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>{{1,4,7,10},{2,3,8,9},{5,6}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11]=>{{1,2,3,4,5,6,7,8,9,10},{11}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>{{1},{2,3,4,5,6,7,8},{9}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,9,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,9,8]=>{{1,8,10},{2,7},{3,6},{4,5},{9}} [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2,10]=>[10,2,1,9,8,7,6,5,4,3]=>{{1,3,10},{2},{4,9},{5,8},{6,7}} [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[5,3,1,2,4,6,7,8,9,10]=>[10,9,8,7,6,4,2,1,3,5]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9,10]=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[9,10,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,10,9]=>{{1,2,3,4,5,6,7,8},{9,10}} [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[8,7,9,5,4,3,2,1,6]=>[6,1,2,3,4,5,9,7,8]=>{{1,2,3,4,5,6},{7,8,9}} [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8,9,10]=>{{1,2,5,6},{3,4},{7},{8},{9},{10}} [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[10,9,8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8,9,10]=>{{1,2,6,7},{3,5},{4},{8},{9},{10}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[11,10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10,11]=>{{1,9},{2,8},{3,7},{4,6},{5},{10},{11}} [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[9,8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8,9]=>{{1,2,3,4,5,6,7},{8},{9}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[10,8,7,6,5,4,3,2,1,9,11]=>[11,9,1,2,3,4,5,6,7,8,10]=>{{1,2,3,4,5,6,7,8,9,10,11}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>{{1},{2,3,4,5,6,7,8,9},{10}} [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,9,3,2,1,4]=>[4,1,2,3,9,5,6,7,8]=>{{1,2,3,4},{5,6,7,8,9}} [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[7,8,2,3,4,5,6,9,1]=>[1,9,6,5,4,3,2,8,7]=>{{1},{2,7,9},{3,6},{4,5},{8}} [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[9,7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7,9]=>{{1,3,5,7,8},{2},{4},{6},{9}} [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3,9]=>{{1,3,8},{2},{4,7},{5,6},{9}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,9,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,9,8]=>{{1},{2,3,4,5,6,7,8,10},{9}} [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7,9]=>{{1,2},{3,4,5,6,7,8},{9}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[9,8,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,8,9]=>{{1,8,9,10},{2,7},{3,6},{4,5}} [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[8,9,7,10,4,5,2,3,1,6]=>[6,1,3,2,5,4,10,7,9,8]=>{{1,2,4,6},{3},{5},{7,8,10},{9}} [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[8,6,4,2,1,3,5,7,9,10]=>[10,9,7,5,3,1,2,4,6,8]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[9,7,5,3,1,2,4,6,8,10]=>[10,8,6,4,2,1,3,5,7,9]=>{{1,3,6,7,9,10},{2,5,8},{4}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}} [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[7,8,5,6,3,4,1,2,9,10]=>[10,9,2,1,4,3,6,5,8,7]=>{{1,2,3,4,5,6,7,8,9,10}} [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,11,2,1]=>[1,2,11,10,9,8,7,6,5,4,3]=>{{1},{2},{3,11},{4,10},{5,9},{6,8},{7}} [1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>{{1,2,3,10,11,12},{4,9},{5,8},{6,7}} [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7,10,9]=>{{1},{2,3,4},{5,6},{7,8},{9,10}} [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[8,7,6,9,4,3,2,1,5]=>[5,1,2,3,4,9,6,7,8]=>{{1,2,3,4,5},{6,7,8,9}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[9,10,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,10,9]=>{{1},{2,3,4,5,6,7,8,9,11},{10}} [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7,10,9]=>{{1,2},{3,4,6},{5},{7,8},{9,10}} [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[9,10,6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6,10,9]=>{{1,2},{3,4},{5,6,8},{7},{9,10}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[8,9,7,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,7,9,8]=>{{1,2},{3,4},{5,6},{7,8,10},{9}} [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[8,9,6,7,5,10,3,4,1,2]=>[2,1,4,3,10,5,7,6,9,8]=>{{1,2},{3,4},{5,6,8,10},{7},{9}} [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[8,9,6,7,4,5,3,10,1,2]=>[2,1,10,3,5,4,7,6,9,8]=>{{1,2},{3,4,6,8,10},{5},{7},{9}} [1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,2,11,1]=>[1,11,2,10,9,8,7,6,5,4,3]=>{{1},{2,3,11},{4,10},{5,9},{6,8},{7}} [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[5,6,4,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,4,6,5]=>{{1,2,4,5,8,10},{3,6,9},{7}} [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[7,8,9,4,5,6,1,2,3,10]=>[10,3,2,1,6,5,4,9,8,7]=>{{1,4,7,10},{2,3},{5,6},{8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[9,8,10,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,10,8,9]=>{{1,2,3,4,5,6,7},{8,9,10}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10},{11},{12}} [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[12,6,5,4,3,2,1,7,8,9,10,11]=>[11,10,9,8,7,1,2,3,4,5,6,12]=>{{1,6,11},{2,5,7,10},{3,4,8,9},{12}} [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[7,6,5,4,3,2,8,9,10,11,12,1]=>[1,12,11,10,9,8,2,3,4,5,6,7]=>{{1},{2,7,12},{3,6,8,11},{4,5,9,10}} [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[9,7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7,9]=>{{1,5,7,8},{2,3,4,6},{9}} [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[9,8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8,9]=>{{1,4,6,7},{2,5},{3},{8},{9}}