=>

[1,0]=>[1,0]=>[1]=>{{1}} [1,0,1,0]=>[1,1,0,0]=>[2,1]=>{{1,2}} [1,1,0,0]=>[1,0,1,0]=>[1,2]=>{{1},{2}} [1,0,1,0,1,0]=>[1,1,0,0,1,0]=>[2,1,3]=>{{1,2},{3}} [1,0,1,1,0,0]=>[1,1,0,1,0,0]=>[2,3,1]=>{{1,2,3}} [1,1,0,0,1,0]=>[1,1,1,0,0,0]=>[3,2,1]=>{{1,3},{2}} [1,1,0,1,0,0]=>[1,0,1,1,0,0]=>[1,3,2]=>{{1},{2,3}} [1,1,1,0,0,0]=>[1,0,1,0,1,0]=>[1,2,3]=>{{1},{2},{3}} [1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0]=>[2,1,4,3]=>{{1,2},{3,4}} [1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0]=>[2,4,3,1]=>{{1,2,4},{3}} [1,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0]=>[2,1,3,4]=>{{1,2},{3},{4}} [1,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,0]=>[2,3,1,4]=>{{1,2,3},{4}} [1,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,0,0]=>[2,3,4,1]=>{{1,2,3,4}} [1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0]=>[3,2,4,1]=>{{1,3,4},{2}} [1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0]=>[4,3,2,1]=>{{1,4},{2,3}} [1,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0]=>[3,2,1,4]=>{{1,3},{2},{4}} [1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0]=>[1,3,2,4]=>{{1},{2,3},{4}} [1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0]=>[1,3,4,2]=>{{1},{2,3,4}} [1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0]=>[4,2,3,1]=>{{1,4},{2},{3}} [1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0]=>[1,4,3,2]=>{{1},{2,4},{3}} [1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0]=>[1,2,4,3]=>{{1},{2},{3,4}} [1,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,0]=>[1,2,3,4]=>{{1},{2},{3},{4}} [1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}} [1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}} [1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>{{1,2},{3,4,5}} [1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>{{1,2,4,5},{3}} [1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>{{1,2,5},{3,4}} [1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}} [1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,1]=>{{1,2,5},{3},{4}} [1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}} [1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>{{1,2,3},{4,5}} [1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>{{1,2,3,5},{4}} [1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}} [1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}} [1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>{{1,2,3,4},{5}} [1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>{{1,2,3,4,5}} [1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}} [1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}} [1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>{{1,3,4,5},{2}} [1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>{{1,4,5},{2,3}} [1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0]=>[5,3,4,2,1]=>{{1,5},{2,3,4}} [1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>{{1,3,5},{2},{4}} [1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}} [1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}} [1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}} [1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>{{1},{2,3,5},{4}} [1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}} [1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}} [1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}} [1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>{{1},{2,3,4,5}} [1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}} [1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}} [1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1]=>{{1,4,5},{2},{3}} [1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>{{1},{2,4,5},{3}} [1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}} [1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}} [1,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}} [1,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}} [1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [1,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}} [1,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}} [1,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}} [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}} [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}} [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}} [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}} [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}} [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}} [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}} [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}} [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}} [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}} [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}} [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}} [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,6,4,5,3,1]=>{{1,2,6},{3,4,5}} [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}} [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}} [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}} [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}} [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}} [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}} [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}} [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}} [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}} [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}} [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}} [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}} [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}} [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}} [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}} [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}} [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}} [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}} [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}} [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}} [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}} [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}} [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}} [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}} [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}} [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}} [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}} [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}} [1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}} [1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}} [1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}} [1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}} [1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}} [1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}} [1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}} [1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}} [1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}} [1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}} [1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}} [1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}} [1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[5,3,4,2,6,1]=>{{1,5,6},{2,3,4}} [1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[6,3,4,5,2,1]=>{{1,6},{2,3,4,5}} [1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}} [1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}} [1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}} [1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}} [1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}} [1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}} [1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}} [1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}} [1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}} [1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}} [1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}} [1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}} [1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}} [1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}} [1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}} [1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}} [1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}} [1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}} [1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}} [1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}} [1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}} [1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}} [1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}} [1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}} [1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}} [1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}} [1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}} [1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}} [1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}} [1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}} [1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}} [1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}} [1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}} [1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}} [1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}} [1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}} [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}} [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}} [1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}} [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}} [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}} [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}} [1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}} [1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}} [1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}} [1,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}} [1,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}} [1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}} [1,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}} [1,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}} [1,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}} [1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [1,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}} [1,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}} [1,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}} [1,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}} [1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}} [1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}} [1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}} [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}} [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}} [1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}} [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}} [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}} [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}} [1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [1,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [1,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}} [1,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}} [1,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}} [1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}} [1,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}} [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}} [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}} [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}} [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}} [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}} [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}} [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}} [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}} [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}} [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}} [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}} [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}} [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}} [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}} [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}} [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}} [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}} [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}} [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}} [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}} [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}} [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}} [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}} [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}} [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}} [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}} [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}} [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}} [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}} [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}} [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}} [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}} [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}} [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}} [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}} [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}} [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}} [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}} [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}} [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}} [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}} [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}} [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}} [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}} [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}} [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}} [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}} [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}} [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}} [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}} [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}} [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}} [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}} [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}} [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}} [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}} [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}} [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}} [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}} [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}} [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}} [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}} [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}} [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}} [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}} [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}} [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}} [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}} [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}} [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}} [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}} [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}} [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}} [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}} [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}} [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}} [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}} [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}} [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}} [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}} [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}} [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}} [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}} [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}} [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}} [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}} [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}} [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}} [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}} [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}} [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}} [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}} [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}} [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}} [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}} [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}} [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}} [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}} [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}} [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}} [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}} [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}} [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}} [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}} [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}} [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}} [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}} [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}} [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}} [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}} [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}} [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}} [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}} [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}} [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}} [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}} [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}} [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}} [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}} [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}} [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}} [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}} [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}} [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}} [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}} [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}} [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}} [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}} [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}} [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}} [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}} [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}} [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}} [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}} [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}} [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}} [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}} [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}} [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}} [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}} [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}} [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}} [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}} [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}} [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}} [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}} [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}} [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}} [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}} [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}} [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}} [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}} [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}} [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}} [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}} [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}} [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}} [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}} [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}} [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}} [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}} [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}} [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}} [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}} [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}} [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}} [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}} [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}} [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}} [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}} [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}} [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}} [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}} [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}} [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}} [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}} [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}} [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}} [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}} [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}} [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}} [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}} [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}} [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}} [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}} [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}} [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}} [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}} [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}} [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}} [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}} [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}} [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}} [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}} [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}} [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}} [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}} [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}} [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}} [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}} [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}} [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}} [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}} [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}} [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}} [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}} [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}} [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}} [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}} [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}} [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}} [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}} [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}} [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}} [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}} [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}} [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}} [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}} [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}} [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}} [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}} [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}} [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}} [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}} [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}} [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}} [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}} [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}} [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}} [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}} [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}} [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}} [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}} [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}} [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}} [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}} [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}} [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}} [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}} [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}} [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}} [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}} [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}} [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}} [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}} [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}} [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}} [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}} [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}} [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}} [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}} [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}} [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}} [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}} [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}} [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}} [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}} [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}} [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}} [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}} [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}} [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}} [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}} [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}} [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}} [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}} [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}} [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}} [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}} [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}} [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}} [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}} [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}} [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}} [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}} [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}} [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}} [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}} [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}} [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}} [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}} [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}} [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}} [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}} [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}} [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}} [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}} [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}} [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}} [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}} [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}} [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}} [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}} [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}} [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}} [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}} [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}} [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}} [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}} [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}} [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}} [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}} [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}} [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}} [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}} [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}} [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}} [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}} [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}} [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}} [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}} [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}} [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}} [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}} [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}} [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}} [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}} [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}} [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}} [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}} [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}} [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}} [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}} [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}} [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}} [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}} [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}} [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}} [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}} [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}} [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}} [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}} [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}} [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}} [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}} [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}} [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}} [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}} [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}} [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}} [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}} [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}} [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}} [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}} [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}} [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}} [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}} [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}} [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}} [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}} [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}} [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}} [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}} [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}} [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}} [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}} [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}} [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}} [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}} [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}} [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}} [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}} [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}} [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}} [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}} [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}} [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}} [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}} [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}} [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}} [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}} [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}} [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}} [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}} [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}} [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}} [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}} [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}} [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}} [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}} [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}} [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}} [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}} [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}} [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}} [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}} [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}} [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}} [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}} [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}} [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}} [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}} [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}} [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}} [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}} [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}} [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}} [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}} [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}} [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}} [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}} [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}} [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}} [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}} [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}} [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>{{1,2},{3,4,6},{5},{7,8}} [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>{{1,2},{3,4},{5,6,8},{7}} [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>{{1,2,4},{3},{5,6,8},{7}} [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>{{1,2},{3,4,6,8},{5},{7}} [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>{{1,2,4,6,8},{3},{5},{7}} [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,4,8,6,5,7,3]=>{{1,2},{3,4,8},{5,6},{7}} [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>{{1,2},{3,4},{5,6},{7},{8}} [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]=>{{1,2},{3,4,6},{5},{7},{8}} [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]=>{{1,2},{3,4},{5,6,7},{8}} [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,6,5,7,1,8]=>{{1,2,4,6,7},{3},{5},{8}} [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>{{1,2},{3,4},{5,6,7,8}} [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]=>{{1,2,4},{3},{5,6,7,8}} [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,1]=>{{1,2,4,6,7,8},{3},{5}} [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,6,4,3,5,7,8,1]=>{{1,2,6,7,8},{3,4},{5}} [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,4,7,6,5,8,3]=>{{1,2},{3,4,7,8},{5,6}} [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>{{1,2,4,7,8},{3},{5,6}} [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>{{1,2},{3,4},{5,7,8},{6}} [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>{{1,2,4},{3},{5,7,8},{6}} [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}} [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>{{1,2,4},{3},{5,8},{6,7}} [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,8,5,7,6,3]=>{{1,2},{3,4,8},{5},{6,7}} [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>{{1,2},{3,4,8},{5,7},{6}} [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>{{1,2,4,8},{3},{5,7},{6}} [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,8,4,3,7,6,5,1]=>{{1,2,8},{3,4},{5,7},{6}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,3,5,1,7,6,8]=>{{1,2,4,5},{3},{6,7},{8}} [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,5,4,3,1,7,6,8]=>{{1,2,5},{3,4},{6,7},{8}} [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,4,3,1,7,8,6]=>{{1,2,5},{3,4},{6,7,8}} [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,7,6,8,1]=>{{1,2,4,5,7,8},{3},{6}} [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]=>{{1,2,5,7,8},{3,4},{6}} [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]=>{{1,2},{3,4,5,8},{6,7}} [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,4,3,8,7,6,1]=>{{1,2,5,8},{3,4},{6,7}} [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,8,6,7,5]=>{{1,2},{3,4},{5,8},{6},{7}} [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,8,5,6,7,3]=>{{1,2},{3,4,8},{5},{6},{7}} [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,4,3,8,5,6,7,1]=>{{1,2,4,8},{3},{5},{6},{7}} [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,8,4,3,5,6,7,1]=>{{1,2,8},{3,4},{5},{6},{7}} [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,3,5,1,8,7,6]=>{{1,2,4,5},{3},{6,8},{7}} [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,4,3,1,8,7,6]=>{{1,2,5},{3,4},{6,8},{7}} [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,8,6,7,3]=>{{1,2},{3,4,5,8},{6},{7}} [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,5,8,6,7,1]=>{{1,2,4,5,8},{3},{6},{7}} [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,8,6,7,1]=>{{1,2,5,8},{3,4},{6},{7}} [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>{{1,2},{3,4},{5},{6},{7,8}} [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]=>{{1,2},{3,4,5},{6},{7,8}} [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,5,4,3,1,6,8,7]=>{{1,2,5},{3,4},{6},{7,8}} [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>{{1,2},{3,4,5,6},{7,8}} [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,4,3,6,1,8,7]=>{{1,2,5,6},{3,4},{7,8}} [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,7,3]=>{{1,2},{3,4,5,6,8},{7}} [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>{{1,2,4,5,6,8},{3},{7}} [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>{{1,2,5,6,8},{3,4},{7}} [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>{{1,2},{3,4},{5},{6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>{{1,2,4},{3},{5},{6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>{{1,2,4,5},{3},{6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>{{1,2,5},{3,4},{6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,6,4,5,3,1,7,8]=>{{1,2,6},{3,4,5},{7},{8}} [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,4,3,6,7,1,8]=>{{1,2,5,6,7},{3,4},{8}} [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,7,4,5,6,3,1,8]=>{{1,2,7},{3,4,5,6},{8}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>{{1,2},{3,4,5,6,7,8}} [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>{{1,2,4,5,6,7,8},{3}} [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]=>{{1,2,5,6,7,8},{3,4}} [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,6,4,5,3,7,8,1]=>{{1,2,6,7,8},{3,4,5}} [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,7,4,5,6,3,8,1]=>{{1,2,7,8},{3,4,5,6}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>{{1,2},{3,5,6},{4},{7,8}} [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}} [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,6,3,5,4,1,8,7]=>{{1,2,6},{3},{4,5},{7,8}} [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,6,5,4,3,1,8,7]=>{{1,2,6},{3,5},{4},{7,8}} [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,8,5,6,4,7,3]=>{{1,2},{3,8},{4,5,6},{7}} [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,5,3,4,6,7,1,8]=>{{1,2,5,6,7},{3},{4},{8}} [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,6,3,5,4,7,8,1]=>{{1,2,6,7,8},{3},{4,5}} [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>{{1,2,6,7,8},{3,5},{4}} [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,7,5,6,4,8,3]=>{{1,2},{3,7,8},{4,5,6}} [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,7,3,5,6,4,8,1]=>{{1,2,7,8},{3},{4,5,6}} [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,7,5,4,6,3,8,1]=>{{1,2,7,8},{3,5,6},{4}} [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,8,7,5,6,4,3,1]=>{{1,2,8},{3,7},{4,5,6}} [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>{{1,2},{3,5,7,8},{4},{6}} [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,7,3,5,4,6,8,1]=>{{1,2,7,8},{3},{4,5},{6}} [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,7,5,4,3,6,8,1]=>{{1,2,7,8},{3,5},{4},{6}} [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,5,3,4,8,7,6,1]=>{{1,2,5,8},{3},{4},{6,7}} [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}} [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,8,5,4,3,7,6,1]=>{{1,2,8},{3,5},{4},{6,7}} [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,8,5,7,6,4,3]=>{{1,2},{3,8},{4,5,7},{6}} [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,8,3,5,7,6,4,1]=>{{1,2,8},{3},{4,5,7},{6}} [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,8,5,4,7,6,3,1]=>{{1,2,8},{3,5,7},{4},{6}} [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,8,7,5,4,6,3,1]=>{{1,2,8},{3,7},{4,5},{6}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>{{1,2,3},{4,5},{6,7},{8}} [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,7,5,4,6,1,8]=>{{1,2,3,7},{4,5},{6},{8}} [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,4,7,6,8,1]=>{{1,2,3,5,7,8},{4},{6}} [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,7,5,4,6,8,1]=>{{1,2,3,7,8},{4,5},{6}} [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,4,8,7,6,1]=>{{1,2,3,5,8},{4},{6,7}} [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,8,5,7,6,4,1]=>{{1,2,3,8},{4,5,7},{6}} [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,4,8,6,7,3]=>{{1,2},{3,5,8},{4},{6},{7}} [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,8,5,4,6,7,3]=>{{1,2},{3,8},{4,5},{6},{7}} [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,8,5,4,3,6,7,1]=>{{1,2,8},{3,5},{4},{6},{7}} [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,5,3,4,1,8,7,6]=>{{1,2,5},{3},{4},{6,8},{7}} [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]=>{{1,2},{3},{4,5},{6,8},{7}} [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>{{1,2,3,5},{4},{6,8},{7}} [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>{{1,2},{3,5},{4},{6},{7,8}} [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>{{1,2},{3},{4,5},{6},{7,8}} [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>{{1,2,3,6},{4,5},{7,8}} [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,5,3,4,1,6,7,8]=>{{1,2,5},{3},{4},{6},{7},{8}} [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>{{1,2,3,5},{4},{6},{7},{8}} [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>{{1,2,3},{4,5,6,7},{8}} [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,7,5,6,4,1,8]=>{{1,2,3,7},{4,5,6},{8}} [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>{{1,2,3},{4,5,6,7,8}} [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>{{1,2,3,5,6,7,8},{4}} [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>{{1,2,3,6,7,8},{4,5}} [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,7,5,6,4,8,1]=>{{1,2,3,7,8},{4,5,6}} [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}} [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>{{1,2,8},{3,7},{4,6},{5}} [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,7,3,6,5,4,1,8]=>{{1,2,7},{3},{4,6},{5},{8}} [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>{{1,2,3},{4,6,7},{5},{8}} [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>{{1,2,3,7},{4,6},{5},{8}} [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,6,4,5,7,8,3]=>{{1,2},{3,6,7,8},{4},{5}} [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,6,3,4,5,7,8,1]=>{{1,2,6,7,8},{3},{4},{5}} [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,6,4,5,7,8,1]=>{{1,2,3,6,7,8},{4},{5}} [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,7,4,6,5,8,1]=>{{1,2,3,7,8},{4},{5,6}} [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>{{1,2,3,7,8},{4,6},{5}} [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,8,6,7,5,4]=>{{1,2,3},{4,8},{5,6,7}} [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>{{1,2,3,8},{4,7},{5,6}} [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,8,4,6,5,7,3]=>{{1,2},{3,8},{4},{5,6},{7}} [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,6,4,5,8,7,3]=>{{1,2},{3,6,8},{4},{5},{7}} [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,6,3,4,5,8,7,1]=>{{1,2,6,8},{3},{4},{5},{7}} [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]=>{{1,2,3},{4,6,8},{5},{7}} [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,6,4,5,3,8,7]=>{{1,2},{3,6},{4},{5},{7,8}} [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,6,5,4,8,7]=>{{1,2},{3},{4,6},{5},{7,8}} [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,6,5,4,8,7]=>{{1,2,3},{4,6},{5},{7,8}} [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,6,4,5,1,8,7]=>{{1,2,3,6},{4},{5},{7,8}} [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>{{1,2},{3},{4},{5,6},{7,8}} [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>{{1,2,3,4},{5,6},{7,8}} [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>{{1,2,3,4},{5,6,8},{7}} [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,5,8,7,1]=>{{1,2,3,4,6,8},{5},{7}} [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,8,6,5,7,1]=>{{1,2,3,4,8},{5,6},{7}} [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>{{1,2},{3},{4},{5,6},{7},{8}} [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>{{1,2,3,4},{5,6},{7},{8}} [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]=>{{1,2,3},{4},{5,6,7},{8}} [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>{{1,2,3,4},{5,6,7},{8}} [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>{{1,2,3,4,7},{5,6},{8}} [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>{{1,2},{3},{4},{5,6,7,8}} [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>{{1,2,3},{4},{5,6,7,8}} [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>{{1,2,3,4},{5,6,7,8}} [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}} [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}} [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,8,6,7,5,1]=>{{1,2,3,4,8},{5,6,7}} [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,8,4,7,6,5,3]=>{{1,2},{3,8},{4},{5,7},{6}} [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,8,7,5,6,4,3]=>{{1,2},{3,8},{4,7},{5},{6}} [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,8,3,7,5,6,4,1]=>{{1,2,8},{3},{4,7},{5},{6}} [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,8,4,5,7,6,3]=>{{1,2},{3,8},{4},{5},{6,7}} [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>{{1,2},{3},{4,8},{5,7},{6}} [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>{{1,2,3},{4,8},{5,7},{6}} [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,7,4,5,6,8,1]=>{{1,2,3,7,8},{4},{5},{6}} [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,7,6,8,5]=>{{1,2},{3},{4},{5,7,8},{6}} [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>{{1,2,3},{4},{5,7,8},{6}} [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>{{1,2,3,4},{5,7,8},{6}} [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,7,5,6,8,1]=>{{1,2,3,4,7,8},{5},{6}} [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>{{1,2},{3},{4},{5,8},{6,7}} [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>{{1,2,3},{4},{5,8},{6,7}} [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>{{1,2,3,4},{5,8},{6,7}} [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,8,5,7,6,1]=>{{1,2,3,4,8},{5},{6,7}} [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>{{1,2,3,4,8},{5,7},{6}} [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,6,5,8]=>{{1,2,3,4},{5,7},{6},{8}} [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,7,5,6,1,8]=>{{1,2,3,4,7},{5},{6},{8}} [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>{{1,2,3,4},{5},{6,7},{8}} [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>{{1,2,3},{4},{5},{6,7,8}} [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>{{1,2,3,4},{5},{6,7,8}} [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>{{1,2,3,4,5,7,8},{6}} [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>{{1,2,3,4,5,8},{6,7}} [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,8,4,5,6,7,3]=>{{1,2},{3,8},{4},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,8,5,6,7,4]=>{{1,2,3},{4,8},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,8,4,5,6,7,1]=>{{1,2,3,8},{4},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,8,6,7,5]=>{{1,2},{3},{4},{5,8},{6},{7}} [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,8,6,7,5]=>{{1,2,3,4},{5,8},{6},{7}} [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,8,5,6,7,1]=>{{1,2,3,4,8},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>{{1,2,3,4},{5},{6,8},{7}} [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>{{1,2,3,4,5},{6,8},{7}} [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,8,6,7,1]=>{{1,2,3,4,5,8},{6},{7}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>{{1,2},{3},{4},{5},{6},{7,8}} [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>{{1,2,3,4},{5},{6},{7,8}} [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>{{1,2},{3},{4},{5},{6},{7},{8}} [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>{{1,2,3},{4},{5},{6},{7},{8}} [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}} [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}} [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}} [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[6,3,4,2,5,1,8,7]=>{{1,6},{2,3,4},{5},{7,8}} [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>{{1,3,4},{2},{5,6,8},{7}} [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>{{1,4},{2,3},{5,6,8},{7}} [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,3,2,6,5,8,7,1]=>{{1,4,6,8},{2,3},{5},{7}} [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>{{1,3,4},{2},{5,6},{7},{8}} [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>{{1,4},{2,3},{5,6},{7},{8}} [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>{{1,4,6},{2,3},{5},{7},{8}} [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,2,4,1,6,7,5,8]=>{{1,3,4},{2},{5,6,7},{8}} [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>{{1,4},{2,3},{5,6,7},{8}} [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,6,5,1,8]=>{{1,7},{2,3,4},{5,6},{8}} [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[7,3,4,6,5,2,1,8]=>{{1,7},{2,3,4,6},{5},{8}} [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>{{1,3,4},{2},{5,6,7,8}} [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>{{1,4},{2,3},{5,6,7,8}} [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,3,2,6,5,7,8,1]=>{{1,4,6,7,8},{2,3},{5}} [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]=>{{1,3,4,7,8},{2},{5,6}} [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]=>{{1,4,7,8},{2,3},{5,6}} [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[7,3,4,2,6,5,8,1]=>{{1,7,8},{2,3,4},{5,6}} [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,8,6,7,5,1]=>{{1,4,8},{2,3},{5,6,7}} [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>{{1,3,4},{2},{5,7,8},{6}} [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>{{1,4},{2,3},{5,7,8},{6}} [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,7,5,6,8,1]=>{{1,4,7,8},{2,3},{5},{6}} [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>{{1,3,4},{2},{5,8},{6,7}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}} [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,2,4,8,7,6,5,1]=>{{1,3,4,8},{2},{5,7},{6}} [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>{{1,4,8},{2,3},{5,7},{6}} [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,2,4,1,7,6,5,8]=>{{1,3,4},{2},{5,7},{6},{8}} [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>{{1,4},{2,3},{5,7},{6},{8}} [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,2,4,1,5,7,6,8]=>{{1,3,4},{2},{5},{6,7},{8}} [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>{{1,4},{2,3},{5},{6,7},{8}} [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,3,2,5,7,6,1,8]=>{{1,4,5,7},{2,3},{6},{8}} [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[5,3,4,2,7,6,1,8]=>{{1,5,7},{2,3,4},{6},{8}} [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>{{1,3,4},{2},{5},{6,7,8}} [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>{{1,4},{2,3},{5},{6,7,8}} [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[5,3,4,2,1,7,8,6]=>{{1,5},{2,3,4},{6,7,8}} [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,7,6,8,1]=>{{1,3,4,5,7,8},{2},{6}} [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,3,2,5,7,6,8,1]=>{{1,4,5,7,8},{2,3},{6}} [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[5,3,4,2,7,6,8,1]=>{{1,5,7,8},{2,3,4},{6}} [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>{{1,4,5,8},{2,3},{6,7}} [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,8,6,7,5]=>{{1,3,4},{2},{5,8},{6},{7}} [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,8,6,7,5]=>{{1,4},{2,3},{5,8},{6},{7}} [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,2,4,8,5,6,7,1]=>{{1,3,4,8},{2},{5},{6},{7}} [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,8,5,6,7,1]=>{{1,4,8},{2,3},{5},{6},{7}} [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]=>{{1,3,4},{2},{5},{6,8},{7}} [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>{{1,4},{2,3},{5},{6,8},{7}} [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,5,1,8,7,6]=>{{1,3,4,5},{2},{6,8},{7}} [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>{{1,4,5},{2,3},{6,8},{7}} [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,3,4,2,1,8,7,6]=>{{1,5},{2,3,4},{6,8},{7}} [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[5,3,4,2,8,6,7,1]=>{{1,5,8},{2,3,4},{6},{7}} [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]=>{{1,3,4},{2},{5},{6},{7,8}} [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>{{1,4},{2,3},{5},{6},{7,8}} [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[5,3,4,2,6,1,8,7]=>{{1,5,6},{2,3,4},{7,8}} [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>{{1,4,5,6,8},{2,3},{7}} [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}} [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>{{1,4},{2,3},{5},{6},{7},{8}} [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>{{1,3,4,5},{2},{6},{7},{8}} [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>{{1,4,5},{2,3},{6},{7},{8}} [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,3,4,2,1,6,7,8]=>{{1,5},{2,3,4},{6},{7},{8}} [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[6,3,4,5,2,7,1,8]=>{{1,6,7},{2,3,4,5},{8}} [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1,8]=>{{1,7},{2,3,4,5,6},{8}} [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}} [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>{{1,4,5,6,7,8},{2,3}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>{{1,3,5,6},{2},{4},{7,8}} [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,3,2,4,6,1,8,7]=>{{1,5,6},{2,3},{4},{7,8}} [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}} [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,3,5,4,2,1,8,7]=>{{1,6},{2,3,5},{4},{7,8}} [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,2,8,5,6,4,7,1]=>{{1,3,8},{2},{4,5,6},{7}} [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[8,3,2,5,6,4,7,1]=>{{1,8},{2,3},{4,5,6},{7}} [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,3,2,4,6,1,7,8]=>{{1,5,6},{2,3},{4},{7},{8}} [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[6,3,2,5,4,1,7,8]=>{{1,6},{2,3},{4,5},{7},{8}} [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,2,6,5,4,7,1,8]=>{{1,3,6,7},{2},{4,5},{8}} [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[6,3,2,5,4,7,1,8]=>{{1,6,7},{2,3},{4,5},{8}} [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[6,3,5,4,2,7,1,8]=>{{1,6,7},{2,3,5},{4},{8}} [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,7,5,6,4,1,8]=>{{1,3,7},{2},{4,5,6},{8}} [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,5,4,6,2,1,8]=>{{1,7},{2,3,5,6},{4},{8}} [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,3,6,5,4,2,1,8]=>{{1,7},{2,3,6},{4,5},{8}} [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]=>{{1,3,5,6,7,8},{2},{4}} [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[6,3,2,5,4,7,8,1]=>{{1,6,7,8},{2,3},{4,5}} [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[6,3,5,4,2,7,8,1]=>{{1,6,7,8},{2,3,5},{4}} [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,7,5,6,4,8,1]=>{{1,3,7,8},{2},{4,5,6}} [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[8,3,7,5,6,4,2,1]=>{{1,8},{2,3,7},{4,5,6}} [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>{{1,3,5,7,8},{2},{4},{6}} [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}} [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,8,5,7,6,4,1]=>{{1,3,8},{2},{4,5,7},{6}} [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[8,3,2,5,7,6,4,1]=>{{1,8},{2,3},{4,5,7},{6}} [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[8,3,5,4,7,6,2,1]=>{{1,8},{2,3,5,7},{4},{6}} [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>{{1,3,5,7},{2},{4},{6},{8}} [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>{{1,3,5},{2},{4},{6,7},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>{{1,3},{2},{4,5},{6,7},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}} [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]=>{{1,3},{2},{4,5,7},{6},{8}} [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>{{1},{2,3,5,7},{4},{6},{8}} [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]=>{{1,3,5},{2},{4},{6,7,8}} [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>{{1},{2,3},{4,5},{6,7,8}} [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,1,5,7,6,8,4]=>{{1,3},{2},{4,5,7,8},{6}} [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]=>{{1},{2,3,5,7,8},{4},{6}} [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>{{1,3},{2},{4,5,8},{6,7}} [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,8,5,7,6,4,2]=>{{1},{2,3,8},{4,5,7},{6}} [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,4,8,6,7,1]=>{{1,3,5,8},{2},{4},{6},{7}} [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,2,8,5,4,6,7,1]=>{{1,3,8},{2},{4,5},{6},{7}} [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[8,3,5,4,2,6,7,1]=>{{1,8},{2,3,5},{4},{6},{7}} [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>{{1,3,5},{2},{4},{6,8},{7}} [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,3,2,4,1,8,7,6]=>{{1,5},{2,3},{4},{6,8},{7}} [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>{{1},{2,3},{4,5},{6,8},{7}} [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,8,6,7,4]=>{{1,3},{2},{4,5,8},{6},{7}} [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,8,5,4,6,7,2]=>{{1},{2,3,8},{4,5},{6},{7}} [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]=>{{1,3,5},{2},{4},{6},{7,8}} [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[5,3,2,4,1,6,8,7]=>{{1,5},{2,3},{4},{6},{7,8}} [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,5,4,2,6,8,7]=>{{1},{2,3,5},{4},{6},{7,8}} [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,3,6,5,4,2,8,7]=>{{1},{2,3,6},{4,5},{7,8}} [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>{{1,3},{2},{4,5,6,8},{7}} [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,5,4,8,7,2]=>{{1},{2,3,6,8},{4,5},{7}} [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>{{1,3,5},{2},{4},{6},{7},{8}} [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,3,2,4,1,6,7,8]=>{{1,5},{2,3},{4},{6},{7},{8}} [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}} [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>{{1,3},{2},{4,5,6},{7},{8}} [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,5,4,7,2,8]=>{{1},{2,3,6,7},{4,5},{8}} [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>{{1,3},{2},{4,5,6,7,8}} [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,8,5,6,7,4,2]=>{{1},{2,3,8},{4,5,6,7}} [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,7,4,6,5,8,1]=>{{1,3,7,8},{2},{4},{5,6}} [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,6,4,5,2,8,1]=>{{1,7,8},{2,3,6},{4},{5}} [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>{{1,3,8},{2},{4,7},{5,6}} [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}} [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,7,4,6,5,1,8]=>{{1,3,7},{2},{4},{5,6},{8}} [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>{{1,3,7},{2},{4,6},{5},{8}} [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[7,3,6,4,5,2,1,8]=>{{1,7},{2,3,6},{4},{5},{8}} [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[6,3,2,4,5,7,1,8]=>{{1,6,7},{2,3},{4},{5},{8}} [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,2,1,6,5,7,4,8]=>{{1,3},{2},{4,6,7},{5},{8}} [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>{{1},{2,3},{4,6,7},{5},{8}} [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,6,4,5,7,2,8]=>{{1},{2,3,6,7},{4},{5},{8}} [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>{{1,3},{2},{4,6,7,8},{5}} [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,5,7,8,4]=>{{1},{2,3},{4,6,7,8},{5}} [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,1,7,6,5,8,4]=>{{1,3},{2},{4,7,8},{5,6}} [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]=>{{1},{2,3},{4,7,8},{5,6}} [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,8,6,7,5,4]=>{{1,3},{2},{4,8},{5,6,7}} [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,8,4,6,7,5,2]=>{{1},{2,3,8},{4},{5,6,7}} [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,8,6,5,7,4,2]=>{{1},{2,3,8},{4,6,7},{5}} [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>{{1},{2,3,8},{4,7},{5,6}} [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[8,3,6,4,5,2,7,1]=>{{1,8},{2,3,6},{4},{5},{7}} [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>{{1,3},{2},{4,6,8},{5},{7}} [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,5,8,7,4]=>{{1},{2,3},{4,6,8},{5},{7}} [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,4,5,8,7,2]=>{{1},{2,3,6,8},{4},{5},{7}} [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,2,1,8,6,5,7,4]=>{{1,3},{2},{4,8},{5,6},{7}} [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,8,4,6,5,7,2]=>{{1},{2,3,8},{4},{5,6},{7}} [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,6,4,5,1,8,7]=>{{1,3,6},{2},{4},{5},{7,8}} [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,6,4,5,2,8,7]=>{{1},{2,3,6},{4},{5},{7,8}} [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]=>{{1},{2,3},{4},{5,6},{7,8}} [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>{{1,3},{2},{4},{5,6,8},{7}} [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,7,5]=>{{1},{2,3},{4},{5,6,8},{7}} [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,6,8,7,5]=>{{1},{2,3,4},{5,6,8},{7}} [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>{{1},{2,3},{4},{5,6},{7},{8}} [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>{{1},{2,3,4},{5,6,7},{8}} [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>{{1,3},{2},{4},{5,6,7,8}} [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>{{1},{2,3},{4},{5,6,7,8}} [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>{{1},{2,3,4},{5,6,7,8}} [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,7,6,5,8,2]=>{{1},{2,3,4,7,8},{5,6}} [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[8,3,2,7,5,6,4,1]=>{{1,8},{2,3},{4,7},{5},{6}} [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[8,3,7,4,5,6,2,1]=>{{1,8},{2,3,7},{4},{5},{6}} [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,2,1,8,5,7,6,4]=>{{1,3},{2},{4,8},{5},{6,7}} [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,8,5,7,6,4]=>{{1},{2,3},{4,8},{5},{6,7}} [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>{{1,3},{2},{4,8},{5,7},{6}} [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>{{1},{2,3},{4,8},{5,7},{6}} [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,8,7,5,6,4,2]=>{{1},{2,3,8},{4,7},{5},{6}} [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,1,7,5,6,8,4]=>{{1,3},{2},{4,7,8},{5},{6}} [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,7,5,6,8,4]=>{{1},{2,3},{4,7,8},{5},{6}} [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,2,1,4,7,6,8,5]=>{{1,3},{2},{4},{5,7,8},{6}} [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,6,8,5]=>{{1},{2,3},{4},{5,7,8},{6}} [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>{{1},{2,3,4},{5,7,8},{6}} [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>{{1,3},{2},{4},{5,8},{6,7}} [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>{{1},{2,3},{4},{5,8},{6,7}} [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>{{1},{2,3,4},{5,8},{6,7}} [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]=>{{1},{2,3,4,8},{5,7},{6}} [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}} [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>{{1,3},{2},{4},{5,7},{6},{8}} [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]=>{{1},{2,3},{4},{5,7},{6},{8}} [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}} [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>{{1,3},{2},{4},{5},{6,7,8}} [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>{{1},{2,3,4},{5},{6,7,8}} [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>{{1},{2,3,4,5,8},{6,7}} [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,8,5,6,7,4]=>{{1,3},{2},{4,8},{5},{6},{7}} [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,8,4,5,6,7,2]=>{{1},{2,3,8},{4},{5},{6},{7}} [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,8,6,7,5]=>{{1,3},{2},{4},{5,8},{6},{7}} [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,8,5,6,7,2]=>{{1},{2,3,4,8},{5},{6},{7}} [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>{{1,3},{2},{4},{5},{6,8},{7}} [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,8,6,7,2]=>{{1},{2,3,4,5,8},{6},{7}} [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}} [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}} [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}} [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>{{1},{2,3,4,5,6,7},{8}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,2,4,3,6,1,8,7]=>{{1,5,6},{2},{3,4},{7,8}} [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>{{1,5,6},{2,4},{3},{7,8}} [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,4,3,5,2,1,8,7]=>{{1,6},{2,4,5},{3},{7,8}} [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}} [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>{{1,5,6,8},{2,4},{3},{7}} [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>{{1,6,8},{2,5},{3,4},{7}} [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,2,4,3,6,1,7,8]=>{{1,5,6},{2},{3,4},{7},{8}} [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>{{1,5,6},{2,4},{3},{7},{8}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,2,4,5,3,1,7,8]=>{{1,6},{2},{3,4,5},{7},{8}} [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>{{1,5,6,7},{2,4},{3},{8}} [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,6,4,5,3,2,1,8]=>{{1,7},{2,6},{3,4,5},{8}} [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>{{1,5,6,7,8},{2,4},{3}} [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>{{1,6,7,8},{2,5},{3,4}} [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[5,2,4,3,7,6,8,1]=>{{1,5,7,8},{2},{3,4},{6}} [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]=>{{1,5,7,8},{2,4},{3},{6}} [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,2,4,5,3,6,8,1]=>{{1,7,8},{2},{3,4,5},{6}} [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>{{1,5,8},{2,4},{3},{6,7}} [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}} [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[8,4,3,5,7,6,2,1]=>{{1,8},{2,4,5,7},{3},{6}} [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[8,5,4,3,7,6,2,1]=>{{1,8},{2,5,7},{3,4},{6}} [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[5,2,4,3,7,6,1,8]=>{{1,5,7},{2},{3,4},{6},{8}} [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>{{1,5,7},{2,4},{3},{6},{8}} [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,2,4,5,3,6,1,8]=>{{1,7},{2},{3,4,5},{6},{8}} [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1,8]=>{{1,7},{2,4,5},{3},{6},{8}} [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,2,4,3,1,7,6,8]=>{{1,5},{2},{3,4},{6,7},{8}} [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>{{1,5},{2,4},{3},{6,7},{8}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,8]=>{{1},{2,4,5},{3},{6,7},{8}} [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,7,6,2,8]=>{{1},{2,4,5,7},{3},{6},{8}} [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>{{1,5},{2,4},{3},{6,7,8}} [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,2,3,5,1,7,8,6]=>{{1,4,5},{2},{3},{6,7,8}} [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]=>{{1},{2,4,5,8},{3},{6,7}} [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,4,3,8,7,6,2]=>{{1},{2,5,8},{3,4},{6,7}} [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,8,6,7,1]=>{{1,5,8},{2,4},{3},{6},{7}} [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,2,4,3,1,8,7,6]=>{{1,5},{2},{3,4},{6,8},{7}} [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>{{1,5},{2,4},{3},{6,8},{7}} [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,2,3,5,1,8,7,6]=>{{1,4,5},{2},{3},{6,8},{7}} [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,2,4,3,1,6,8,7]=>{{1,5},{2},{3,4},{6},{7,8}} [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>{{1,5},{2,4},{3},{6},{7,8}} [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,2,3,5,6,1,8,7]=>{{1,4,5,6},{2},{3},{7,8}} [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[4,2,3,5,6,8,7,1]=>{{1,4,5,6,8},{2},{3},{7}} [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]=>{{1},{2,5,6,8},{3,4},{7}} [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,6,4,5,3,8,7,2]=>{{1},{2,6,8},{3,4,5},{7}} [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,8,4,5,6,3,7,2]=>{{1},{2,8},{3,4,5,6},{7}} [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,2,4,3,1,6,7,8]=>{{1,5},{2},{3,4},{6},{7},{8}} [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>{{1,5},{2,4},{3},{6},{7},{8}} [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,2,3,5,1,6,7,8]=>{{1,4,5},{2},{3},{6},{7},{8}} [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]=>{{1},{2,5,6},{3,4},{7},{8}} [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,5,4,3,6,7,2,8]=>{{1},{2,5,6,7},{3,4},{8}} [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>{{1},{2,5,6,7,8},{3,4}} [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,8,4,5,6,7,3,2]=>{{1},{2,8},{3,4,5,6,7}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,2,4,3,6,5,8,1]=>{{1,7,8},{2},{3,4},{5,6}} [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[7,4,3,2,6,5,8,1]=>{{1,7,8},{2,4},{3},{5,6}} [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[7,4,3,6,5,2,8,1]=>{{1,7,8},{2,4,6},{3},{5}} [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[8,4,3,2,6,7,5,1]=>{{1,8},{2,4},{3},{5,6,7}} [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[8,2,4,7,6,5,3,1]=>{{1,8},{2},{3,4,7},{5,6}} [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}} [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,2,4,3,6,5,1,8]=>{{1,7},{2},{3,4},{5,6},{8}} [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,4,3,2,6,5,1,8]=>{{1,7},{2,4},{3},{5,6},{8}} [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,4,3,6,5,2,1,8]=>{{1,7},{2,4,6},{3},{5},{8}} [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>{{1},{2,4,6,7},{3},{5},{8}} [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]=>{{1},{2,4,6,7,8},{3},{5}} [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[4,2,3,7,6,5,8,1]=>{{1,4,7,8},{2},{3},{5,6}} [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,7,4,3,6,5,8,2]=>{{1},{2,7,8},{3,4},{5,6}} [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,8,6,7,5,2]=>{{1},{2,4,8},{3},{5,6,7}} [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,8,4,6,5,7,3,2]=>{{1},{2,8},{3,4,6,7},{5}} [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,8,4,7,6,5,3,2]=>{{1},{2,8},{3,4,7},{5,6}} [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[8,2,4,3,6,5,7,1]=>{{1,8},{2},{3,4},{5,6},{7}} [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[8,6,4,3,5,2,7,1]=>{{1,8},{2,6},{3,4},{5},{7}} [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>{{1},{2,4,6,8},{3},{5},{7}} [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,2,4,3,5,1,8,7]=>{{1,6},{2},{3,4},{5},{7,8}} [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>{{1},{2},{3,4},{5,6},{7,8}} [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]=>{{1},{2},{3,4},{5,6,8},{7}} [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,4,6,5,8,7,3]=>{{1},{2},{3,4,6,8},{5},{7}} [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,4,8,6,5,7,3]=>{{1},{2},{3,4,8},{5,6},{7}} [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[6,4,3,2,5,1,7,8]=>{{1,6},{2,4},{3},{5},{7},{8}} [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>{{1},{2,4,6},{3},{5},{7},{8}} [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,6,4,3,5,2,7,8]=>{{1},{2,6},{3,4},{5},{7},{8}} [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>{{1},{2},{3,4},{5,6},{7},{8}} [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>{{1},{2,4},{3},{5,6,7},{8}} [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>{{1},{2},{3,4},{5,6,7},{8}} [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,3,1,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}} [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>{{1},{2,4},{3},{5,6,7,8}} [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>{{1},{2},{3,4},{5,6,7,8}} [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,4,7,6,5,8,3]=>{{1},{2},{3,4,7,8},{5,6}} [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[8,2,4,3,7,6,5,1]=>{{1,8},{2},{3,4},{5,7},{6}} [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[8,4,3,2,7,6,5,1]=>{{1,8},{2,4},{3},{5,7},{6}} [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[8,2,4,7,5,6,3,1]=>{{1,8},{2},{3,4,7},{5},{6}} [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[8,4,3,7,5,6,2,1]=>{{1,8},{2,4,7},{3},{5},{6}} [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[8,7,4,3,5,6,2,1]=>{{1,8},{2,7},{3,4},{5},{6}} [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,8,5,7,6,2]=>{{1},{2,4,8},{3},{5},{6,7}} [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,8,4,3,5,7,6,2]=>{{1},{2,8},{3,4},{5},{6,7}} [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,2,3,8,7,6,5,1]=>{{1,4,8},{2},{3},{5,7},{6}} [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>{{1},{2,4,8},{3},{5,7},{6}} [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,2,3,1,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}} [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]=>{{1},{2,4},{3},{5,7,8},{6}} [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>{{1},{2},{3,4},{5,7,8},{6}} [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,2,3,1,8,7,6,5]=>{{1,4},{2},{3},{5,8},{6,7}} [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>{{1},{2,4},{3},{5,8},{6,7}} [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>{{1},{2},{3,4},{5,8},{6,7}} [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]=>{{1},{2},{3,4,8},{5,7},{6}} [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,3,7,5,6,1,8]=>{{1,4,7},{2},{3},{5},{6},{8}} [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>{{1},{2,4},{3},{5,7},{6},{8}} [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,3,2,5,7,6,8]=>{{1},{2,4},{3},{5},{6,7},{8}} [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>{{1},{2},{3,4},{5},{6,7,8}} [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,3,8,5,6,7,1]=>{{1,4,8},{2},{3},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,8,5,6,7,2]=>{{1},{2,4,8},{3},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,8,4,3,5,6,7,2]=>{{1},{2,8},{3,4},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}} [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,8,5,6,7,3]=>{{1},{2},{3,4,8},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]=>{{1},{2,4},{3},{5},{6,8},{7}} [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]=>{{1},{2},{3,4,5},{6,8},{7}} [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,8,6,7,3]=>{{1},{2},{3,4,5,8},{6},{7}} [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]=>{{1},{2,4},{3},{5},{6},{7,8}} [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>{{1},{2},{3,4},{5},{6},{7,8}} [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8]=>{{1,4},{2},{3},{5},{6},{7},{8}} [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>{{1},{2,4},{3},{5},{6},{7},{8}} [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>{{1},{2},{3,4},{5},{6},{7},{8}} [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>{{1},{2},{3,4,5,6},{7},{8}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[8,2,7,5,6,4,3,1]=>{{1,8},{2},{3,7},{4,5,6}} [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[8,7,3,5,6,4,2,1]=>{{1,8},{2,7},{3},{4,5,6}} [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[8,7,5,4,6,3,2,1]=>{{1,8},{2,7},{3,5,6},{4}} [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}} [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,2,6,5,4,3,1,8]=>{{1,7},{2},{3,6},{4,5},{8}} [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,6,3,5,4,2,1,8]=>{{1,7},{2,6},{3},{4,5},{8}} [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>{{1,7},{2,6},{3,5},{4},{8}} [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[6,2,3,5,4,7,1,8]=>{{1,6,7},{2},{3},{4,5},{8}} [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,2,3,5,6,4,1,8]=>{{1,7},{2},{3},{4,5,6},{8}} [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[8,2,3,5,6,7,4,1]=>{{1,8},{2},{3},{4,5,6,7}} [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,8,5,4,6,7,3,2]=>{{1},{2,8},{3,5,6,7},{4}} [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,8,6,5,4,7,3,2]=>{{1},{2,8},{3,6,7},{4,5}} [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,8,7,5,6,4,3,2]=>{{1},{2,8},{3,7},{4,5,6}} [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[8,2,6,5,4,3,7,1]=>{{1,8},{2},{3,6},{4,5},{7}} [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[8,6,3,5,4,2,7,1]=>{{1,8},{2,6},{3},{4,5},{7}} [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[8,6,5,4,3,2,7,1]=>{{1,8},{2,6},{3,5},{4},{7}} [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,6,3,5,4,8,7,2]=>{{1},{2,6,8},{3},{4,5},{7}} [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>{{1},{2,6,8},{3,5},{4},{7}} [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,8,3,5,6,4,7,2]=>{{1},{2,8},{3},{4,5,6},{7}} [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,8,5,4,6,3,7,2]=>{{1},{2,8},{3,5,6},{4},{7}} [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,2,5,4,3,1,8,7]=>{{1,6},{2},{3,5},{4},{7,8}} [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,5,3,4,2,1,8,7]=>{{1,6},{2,5},{3},{4},{7,8}} [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,2,3,5,4,1,8,7]=>{{1,6},{2},{3},{4,5},{7,8}} [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,5,4,6,8,7,3]=>{{1},{2},{3,5,6,8},{4},{7}} [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,5,4,8,7,3]=>{{1},{2},{3,6,8},{4,5},{7}} [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,5,3,4,2,1,7,8]=>{{1,6},{2,5},{3},{4},{7},{8}} [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,2,3,5,4,1,7,8]=>{{1,6},{2},{3},{4,5},{7},{8}} [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,6,3,5,4,2,7,8]=>{{1},{2,6},{3},{4,5},{7},{8}} [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>{{1},{2},{3,6},{4,5},{7},{8}} [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,3,8]=>{{1},{2},{3,5,6,7},{4},{8}} [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[5,2,3,4,6,7,8,1]=>{{1,5,6,7,8},{2},{3},{4}} [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[8,2,5,4,7,6,3,1]=>{{1,8},{2},{3,5,7},{4},{6}} [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[8,5,3,4,7,6,2,1]=>{{1,8},{2,5,7},{3},{4},{6}} [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[8,2,7,5,4,6,3,1]=>{{1,8},{2},{3,7},{4,5},{6}} [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[8,7,3,5,4,6,2,1]=>{{1,8},{2,7},{3},{4,5},{6}} [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[8,7,5,4,3,6,2,1]=>{{1,8},{2,7},{3,5},{4},{6}} [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[8,2,5,4,3,7,6,1]=>{{1,8},{2},{3,5},{4},{6,7}} [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[8,5,3,4,2,7,6,1]=>{{1,8},{2,5},{3},{4},{6,7}} [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[8,2,3,5,4,7,6,1]=>{{1,8},{2},{3},{4,5},{6,7}} [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,8,3,5,4,7,6,2]=>{{1},{2,8},{3},{4,5},{6,7}} [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,8,5,4,3,7,6,2]=>{{1},{2,8},{3,5},{4},{6,7}} [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,8,3,5,7,6,4,2]=>{{1},{2,8},{3},{4,5,7},{6}} [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,8,5,4,7,6,3,2]=>{{1},{2,8},{3,5,7},{4},{6}} [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,8,7,5,4,6,3,2]=>{{1},{2,8},{3,7},{4,5},{6}} [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,7,5,4,3,6,8,2]=>{{1},{2,7,8},{3,5},{4},{6}} [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,7,5,4,6,8,3]=>{{1},{2},{3,7,8},{4,5},{6}} [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,2,3,4,8,7,6,1]=>{{1,5,8},{2},{3},{4},{6,7}} [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,4,8,7,6,3]=>{{1},{2},{3,5,8},{4},{6,7}} [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,8,5,4,7,6,3]=>{{1},{2},{3,8},{4,5},{6,7}} [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,2,5,4,3,6,1,8]=>{{1,7},{2},{3,5},{4},{6},{8}} [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[7,5,3,4,2,6,1,8]=>{{1,7},{2,5},{3},{4},{6},{8}} [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}} [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,6,4,8]=>{{1},{2},{3},{4,5,7},{6},{8}} [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,5,3,4,2,7,8,6]=>{{1},{2,5},{3},{4},{6,7,8}} [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>{{1},{2},{3,5},{4},{6,7,8}} [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>{{1},{2},{3},{4,5},{6,7,8}} [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>{{1},{2},{3},{4,5,7,8},{6}} [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>{{1},{2},{3},{4,5,8},{6,7}} [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[8,5,3,4,2,6,7,1]=>{{1,8},{2,5},{3},{4},{6},{7}} [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,8,5,4,3,6,7,2]=>{{1},{2,8},{3,5},{4},{6},{7}} [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,5,3,4,8,6,7,2]=>{{1},{2,5,8},{3},{4},{6},{7}} [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,5,4,8,6,7,3]=>{{1},{2},{3,5,8},{4},{6},{7}} [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,8,5,4,6,7,3]=>{{1},{2},{3,8},{4,5},{6},{7}} [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,2,3,4,1,8,7,6]=>{{1,5},{2},{3},{4},{6,8},{7}} [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,5,3,4,2,8,7,6]=>{{1},{2,5},{3},{4},{6,8},{7}} [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>{{1},{2},{3},{4,5},{6,8},{7}} [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,8,6,7,4]=>{{1},{2},{3},{4,5,8},{6},{7}} [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>{{1},{2},{3,5},{4},{6},{7,8}} [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>{{1},{2},{3},{4,5,6},{7,8}} [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>{{1},{2},{3},{4,5,6,8},{7}} [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}} [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}} [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]=>{{1},{2},{3},{4,5,6},{7},{8}} [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>{{1},{2},{3},{4,5,6,7},{8}} [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>{{1},{2},{3},{4,5,6,7,8}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[8,2,7,4,6,5,3,1]=>{{1,8},{2},{3,7},{4},{5,6}} [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[8,7,3,4,6,5,2,1]=>{{1,8},{2,7},{3},{4},{5,6}} [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[8,2,7,6,5,4,3,1]=>{{1,8},{2},{3,7},{4,6},{5}} [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[8,7,3,6,5,4,2,1]=>{{1,8},{2,7},{3},{4,6},{5}} [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8,7,6,4,5,3,2,1]=>{{1,8},{2,7},{3,6},{4},{5}} [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[8,2,6,4,5,7,3,1]=>{{1,8},{2},{3,6,7},{4},{5}} [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,8,6,4,5,7,3,2]=>{{1},{2,8},{3,6,7},{4},{5}} [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[8,2,3,7,6,5,4,1]=>{{1,8},{2},{3},{4,7},{5,6}} [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,8,3,7,6,5,4,2]=>{{1},{2,8},{3},{4,7},{5,6}} [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,8,7,4,6,5,3,2]=>{{1},{2,8},{3,7},{4},{5,6}} [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>{{1},{2,8},{3,7},{4,6},{5}} [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,8,3,4,6,7,5,2]=>{{1},{2,8},{3},{4},{5,6,7}} [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,8,4,6,7,5,3]=>{{1},{2},{3,8},{4},{5,6,7}} [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>{{1},{2},{3,8},{4,7},{5,6}} [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,6,3,4,5,2,1,8]=>{{1,7},{2,6},{3},{4},{5},{8}} [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,6,5,4,1,8]=>{{1,7},{2},{3},{4,6},{5},{8}} [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[6,2,3,4,5,7,1,8]=>{{1,6,7},{2},{3},{4},{5},{8}} [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>{{1},{2},{3},{4,6,7},{5},{8}} [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>{{1},{2},{3},{4,7},{5,6},{8}} [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>{{1},{2},{3},{4,6,7,8},{5}} [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>{{1},{2},{3},{4,7,8},{5,6}} [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,8,6,7,5,4]=>{{1},{2},{3},{4,8},{5,6,7}} [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[8,2,6,4,5,3,7,1]=>{{1,8},{2},{3,6},{4},{5},{7}} [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[8,6,3,4,5,2,7,1]=>{{1,8},{2,6},{3},{4},{5},{7}} [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,8,3,6,5,4,7,2]=>{{1},{2,8},{3},{4,6},{5},{7}} [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,8,6,5,4,7,3]=>{{1},{2},{3,8},{4,6},{5},{7}} [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>{{1},{2},{3},{4,6,8},{5},{7}} [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,8,6,5,7,4]=>{{1},{2},{3},{4,8},{5,6},{7}} [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>{{1},{2},{3},{4,6},{5},{7,8}} [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>{{1},{2},{3},{4},{5,6},{7,8}} [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]=>{{1},{2},{3},{4},{5,6,8},{7}} [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,6,4,5,3,7,8]=>{{1},{2},{3,6},{4},{5},{7},{8}} [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>{{1},{2},{3},{4},{5,6},{7},{8}} [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>{{1},{2},{3},{4},{5,6,7},{8}} [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>{{1},{2},{3},{4},{5,6,7,8}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[8,2,7,4,5,6,3,1]=>{{1,8},{2},{3,7},{4},{5},{6}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[8,7,3,4,5,6,2,1]=>{{1,8},{2,7},{3},{4},{5},{6}} [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[8,2,3,7,5,6,4,1]=>{{1,8},{2},{3},{4,7},{5},{6}} [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,8,3,7,5,6,4,2]=>{{1},{2,8},{3},{4,7},{5},{6}} [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,8,7,4,5,6,3,2]=>{{1},{2,8},{3,7},{4},{5},{6}} [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[8,2,3,4,7,6,5,1]=>{{1,8},{2},{3},{4},{5,7},{6}} [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,8,4,7,6,5,3]=>{{1},{2},{3,8},{4},{5,7},{6}} [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,8,7,5,6,4,3]=>{{1},{2},{3,8},{4,7},{5},{6}} [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,8,5,7,6,4]=>{{1},{2},{3},{4,8},{5},{6,7}} [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>{{1},{2},{3},{4,8},{5,7},{6}} [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,7,5,6,8,4]=>{{1},{2},{3},{4,7,8},{5},{6}} [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>{{1},{2},{3},{4},{5,7,8},{6}} [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>{{1},{2},{3},{4},{5,8},{6,7}} [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,7,5,6,4,8]=>{{1},{2},{3},{4,7},{5},{6},{8}} [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>{{1},{2},{3},{4},{5,7},{6},{8}} [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}} [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}} [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,8,4,5,6,7,3]=>{{1},{2},{3,8},{4},{5},{6},{7}} [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,8,5,6,7,4]=>{{1},{2},{3},{4,8},{5},{6},{7}} [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,8,6,7,5]=>{{1},{2},{3},{4},{5,8},{6},{7}} [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>{{1},{2},{3},{4},{5},{6,8},{7}} [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}} [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]=>{{1},{2},{3},{4},{5},{6,10},{7,9},{8}}