=>

[1,0]=>[1]=>{{1}}=>{{1}} [1,0,1,0]=>[1,2]=>{{1},{2}}=>{{1},{2}} [1,1,0,0]=>[2,1]=>{{1,2}}=>{{1,2}} [1,0,1,0,1,0]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}} [1,0,1,1,0,0]=>[1,3,2]=>{{1},{2,3}}=>{{1,2},{3}} [1,1,0,0,1,0]=>[2,1,3]=>{{1,2},{3}}=>{{1},{2,3}} [1,1,0,1,0,0]=>[2,3,1]=>{{1,2,3}}=>{{1,2,3}} [1,1,1,0,0,0]=>[3,1,2]=>{{1,3},{2}}=>{{1,3},{2}} [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}} [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>{{1},{2},{3,4}}=>{{1,2},{3},{4}} [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>{{1},{2,3},{4}}=>{{1},{2,3},{4}} [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>{{1},{2,3,4}}=>{{1,2,3},{4}} [1,0,1,1,1,0,0,0]=>[1,4,2,3]=>{{1},{2,4},{3}}=>{{1,3},{2},{4}} [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1},{2},{3,4}} [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>{{1,2},{3,4}}=>{{1,2},{3,4}} [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>{{1,2,3},{4}}=>{{1},{2,3,4}} [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>{{1,2,3,4}}=>{{1,2,3,4}} [1,1,0,1,1,0,0,0]=>[2,4,1,3]=>{{1,2,4},{3}}=>{{1,3,4},{2}} [1,1,1,0,0,0,1,0]=>[3,1,2,4]=>{{1,3},{2},{4}}=>{{1},{2,4},{3}} [1,1,1,0,0,1,0,0]=>[3,1,4,2]=>{{1,3,4},{2}}=>{{1,2,4},{3}} [1,1,1,0,1,0,0,0]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,3},{2,4}} [1,1,1,1,0,0,0,0]=>[4,1,2,3]=>{{1,4},{2},{3}}=>{{1,4},{2},{3}} [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}} [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>{{1,2},{3},{4},{5}} [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>{{1},{2,3},{4},{5}} [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>{{1,2,3},{4},{5}} [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,3,4]=>{{1},{2},{3,5},{4}}=>{{1,3},{2},{4},{5}} [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>{{1},{2},{3,4},{5}} [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>{{1,2},{3,4},{5}} [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}} [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>{{1,2,3,4},{5}} [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>{{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}} [1,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,5]=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}} [1,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3]=>{{1},{2,4,5},{3}}=>{{1,2,4},{3},{5}} [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>{{1,3},{2,4},{5}} [1,0,1,1,1,1,0,0,0,0]=>[1,5,2,3,4]=>{{1},{2,5},{3},{4}}=>{{1,4},{2},{3},{5}} [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1},{2},{3},{4,5}} [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}} [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>{{1},{2,3},{4,5}} [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>{{1,2,3},{4,5}} [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,3,4]=>{{1,2},{3,5},{4}}=>{{1,3},{2},{4,5}} [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>{{1},{2},{3,4,5}} [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>{{1,2},{3,4,5}} [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>{{1},{2,3,4,5}} [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}} [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>{{1,2,3,5},{4}}=>{{1,3,4,5},{2}} [1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,5]=>{{1,2,4},{3},{5}}=>{{1},{2,4,5},{3}} [1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,3]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}} [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,3]=>{{1,2,4},{3,5}}=>{{1,3},{2,4,5}} [1,1,0,1,1,1,0,0,0,0]=>[2,5,1,3,4]=>{{1,2,5},{3},{4}}=>{{1,4,5},{2},{3}} [1,1,1,0,0,0,1,0,1,0]=>[3,1,2,4,5]=>{{1,3},{2},{4},{5}}=>{{1},{2},{3,5},{4}} [1,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4]=>{{1,3},{2},{4,5}}=>{{1,2},{3,5},{4}} [1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,5]=>{{1,3,4},{2},{5}}=>{{1},{2,3,5},{4}} [1,1,1,0,0,1,0,1,0,0]=>[3,1,4,5,2]=>{{1,3,4,5},{2}}=>{{1,2,3,5},{4}} [1,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4]=>{{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}} [1,1,1,0,1,0,0,0,1,0]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}} [1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,2]=>{{1,3},{2,4,5}}=>{{1,2,4},{3,5}} [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,2]=>{{1,3,5},{2,4}}=>{{1,3,5},{2,4}} [1,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4]=>{{1,3},{2,5},{4}}=>{{1,4},{2},{3,5}} [1,1,1,1,0,0,0,0,1,0]=>[4,1,2,3,5]=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}} [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,5,3]=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}} [1,1,1,1,0,0,1,0,0,0]=>[4,1,5,2,3]=>{{1,4},{2},{3,5}}=>{{1,3},{2,5},{4}} [1,1,1,1,0,1,0,0,0,0]=>[4,5,1,2,3]=>{{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}} [1,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,4]=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}} [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},{2},{3},{4},{5},{6}} [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6}} [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},{2,3},{4},{5},{6}} [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>{{1,2,3},{4},{5},{6}} [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,4,5]=>{{1},{2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5},{6}} [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},{2},{3,4},{5},{6}} [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>{{1,2},{3,4},{5},{6}} [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},{2,3,4},{5},{6}} [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>{{1,2,3,4},{5},{6}} [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,3,5]=>{{1},{2},{3,4,6},{5}}=>{{1,3,4},{2},{5},{6}} [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,3,4,6]=>{{1},{2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5},{6}} [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,3,6,4]=>{{1},{2},{3,5,6},{4}}=>{{1,2,4},{3},{5},{6}} [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>{{1,3},{2,4},{5},{6}} [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,3,4,5]=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}} [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},{2},{3},{4,5},{6}} [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>{{1,2},{3},{4,5},{6}} [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},{2,3},{4,5},{6}} [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>{{1,2,3},{4,5},{6}} [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,4,5]=>{{1},{2,3},{4,6},{5}}=>{{1,3},{2},{4,5},{6}} [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},{2},{3,4,5},{6}} [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6}} [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},{2,3,4,5},{6}} [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>{{1,2,3,4,5},{6}} [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,2,5]=>{{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}} [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,6]=>{{1},{2,3,5},{4},{6}}=>{{1},{2,4,5},{3},{6}} [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,6,4]=>{{1},{2,3,5,6},{4}}=>{{1,2,4,5},{3},{6}} [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>{{1,3},{2,4,5},{6}} [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,2,4,5]=>{{1},{2,3,6},{4},{5}}=>{{1,4,5},{2},{3},{6}} [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,5,6]=>{{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}} [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5]=>{{1},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6}} [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3,6]=>{{1},{2,4,5},{3},{6}}=>{{1},{2,3,5},{4},{6}} [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,6,3]=>{{1},{2,4,5,6},{3}}=>{{1,2,3,5},{4},{6}} [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5]=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}} [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>{{1},{2,4},{3,5},{6}} [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>{{1,2,4},{3,5},{6}} [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,2,3]=>{{1},{2,4,6},{3,5}}=>{{1,3,5},{2,4},{6}} [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5]=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}} [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,6]=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}} [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,4]=>{{1},{2,5,6},{3},{4}}=>{{1,2,5},{3},{4},{6}} [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,2,6,3,4]=>{{1},{2,5},{3},{4,6}}=>{{1,3},{2,5},{4},{6}} [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,2,3,4]=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}} [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,2,3,4,5]=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}} [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},{2},{3},{4},{5,6}} [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}} [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},{2,3},{4},{5,6}} [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>{{1,2,3},{4},{5,6}} [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,4,5]=>{{1,2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,6}} [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},{2},{3,4},{5,6}} [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}} [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},{2,3,4},{5,6}} [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>{{1,2,3,4},{5,6}} [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,3,5]=>{{1,2},{3,4,6},{5}}=>{{1,3,4},{2},{5,6}} [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,3,4,6]=>{{1,2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5,6}} [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,6,4]=>{{1,2},{3,5,6},{4}}=>{{1,2,4},{3},{5,6}} [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>{{1,3},{2,4},{5,6}} [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,3,4,5]=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5,6}} [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},{2},{3},{4,5,6}} [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>{{1,2},{3},{4,5,6}} [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},{2,3},{4,5,6}} [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}} [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,4,5]=>{{1,2,3},{4,6},{5}}=>{{1,3},{2},{4,5,6}} [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},{2},{3,4,5,6}} [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>{{1,2},{3,4,5,6}} [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},{2,3,4,5,6}} [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,1,5]=>{{1,2,3,4,6},{5}}=>{{1,3,4,5,6},{2}} [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,6]=>{{1,2,3,5},{4},{6}}=>{{1},{2,4,5,6},{3}} [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,6,4]=>{{1,2,3,5,6},{4}}=>{{1,2,4,5,6},{3}} [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>{{1,3},{2,4,5,6}} [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,1,4,5]=>{{1,2,3,6},{4},{5}}=>{{1,4,5,6},{2},{3}} [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,5,6]=>{{1,2,4},{3},{5},{6}}=>{{1},{2},{3,5,6},{4}} [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5]=>{{1,2,4},{3},{5,6}}=>{{1,2},{3,5,6},{4}} [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,5,3,6]=>{{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}} [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,6,3]=>{{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}} [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5]=>{{1,2,4,6},{3},{5}}=>{{1,3,5,6},{2},{4}} [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>{{1},{2,4},{3,5,6}} [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>{{1,2,4},{3,5,6}} [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,1,3]=>{{1,2,4,6},{3,5}}=>{{1,3,5,6},{2,4}} [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5]=>{{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,5,6}} [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,6]=>{{1,2,5},{3},{4},{6}}=>{{1},{2,5,6},{3},{4}} [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,1,3,6,4]=>{{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}} [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,1,6,3,4]=>{{1,2,5},{3},{4,6}}=>{{1,3},{2,5,6},{4}} [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,1,3,4]=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}} [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,1,3,4,5]=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}} [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1},{2},{3},{4,6},{5}} [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,4,6,5]=>{{1,3},{2},{4},{5,6}}=>{{1,2},{3},{4,6},{5}} [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,6]=>{{1,3},{2},{4,5},{6}}=>{{1},{2,3},{4,6},{5}} [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,6,4]=>{{1,3},{2},{4,5,6}}=>{{1,2,3},{4,6},{5}} [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,6,4,5]=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}} [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1},{2},{3,4,6},{5}} [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,4,2,6,5]=>{{1,3,4},{2},{5,6}}=>{{1,2},{3,4,6},{5}} [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>{{1,3,4,5},{2},{6}}=>{{1},{2,3,4,6},{5}} [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,2]=>{{1,3,4,5,6},{2}}=>{{1,2,3,4,6},{5}} [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,4,6,2,5]=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}} [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,6]=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}} [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,6,4]=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}} [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,6,2,4]=>{{1,3,5},{2},{4,6}}=>{{1,3},{2,4,6},{5}} [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,6,2,4,5]=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}} [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1},{2},{3,5},{4,6}} [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>{{1,2},{3,5},{4,6}} [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>{{1},{2,3,5},{4,6}} [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}}=>{{1,2,3,5},{4,6}} [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5]=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2},{4,6}} [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,1,2,6]=>{{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}} [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,1,6,2]=>{{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}} [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,1,2]=>{{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}} [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5]=>{{1,3,6},{2,4},{5}}=>{{1,4,6},{2},{3,5}} [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,6]=>{{1,3},{2,5},{4},{6}}=>{{1},{2,5},{3},{4,6}} [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,6,4]=>{{1,3},{2,5,6},{4}}=>{{1,2,5},{3},{4,6}} [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}} [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,1,2,4]=>{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}} [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,1,2,4,5]=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}} [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,5,6]=>{{1,4},{2},{3},{5},{6}}=>{{1},{2},{3,6},{4},{5}} [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5]=>{{1,4},{2},{3},{5,6}}=>{{1,2},{3,6},{4},{5}} [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>{{1,4,5},{2},{3},{6}}=>{{1},{2,3,6},{4},{5}} [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,5,6,3]=>{{1,4,5,6},{2},{3}}=>{{1,2,3,6},{4},{5}} [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5]=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}} [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,5,2,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1},{2,4},{3,6},{5}} [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,5,2,6,3]=>{{1,4},{2},{3,5,6}}=>{{1,2,4},{3,6},{5}} [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,5,6,2,3]=>{{1,4,6},{2},{3,5}}=>{{1,3,6},{2,4},{5}} [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5]=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}} [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,1,2,3,6]=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}} [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,1,2,6,3]=>{{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}} [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,1,6,2,3]=>{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}} [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}} [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5]=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}} [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}} [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,6,4]=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}} [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1,2,6,3,4]=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}} [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1,6,2,3,4]=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}} [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,1,2,3,4]=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}} [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5]=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}} [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},{2},{3},{4},{5},{6},{7}} [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}}=>{{1,2},{3},{4},{5},{6},{7}} [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},{2,3},{4},{5},{6},{7}} [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}}=>{{1,2,3},{4},{5},{6},{7}} [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6},{7}} [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},{2},{3,4},{5},{6},{7}} [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}}=>{{1,2},{3,4},{5},{6},{7}} [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},{2,3,4},{5},{6},{7}} [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}}=>{{1,2,3,4},{5},{6},{7}} [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6},{7}} [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6},{7}} [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6},{7}} [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6},{7}} [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}} [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},{2},{3},{4,5},{6},{7}} [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}}=>{{1,2},{3},{4,5},{6},{7}} [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},{2,3},{4,5},{6},{7}} [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}}=>{{1,2,3},{4,5},{6},{7}} [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6},{7}} [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},{2},{3,4,5},{6},{7}} [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}}=>{{1,2},{3,4,5},{6},{7}} [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},{2,3,4,5},{6},{7}} [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}}=>{{1,2,3,4,5},{6},{7}} [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6},{7}} [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,3,5,7]=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6},{7}} [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,3,7,5]=>{{1},{2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6},{7}} [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6},{7}} [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}} [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,3,4,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}} [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,3,4,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6},{7}} [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,3,6,4,7]=>{{1},{2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6},{7}} [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,3,6,7,4]=>{{1},{2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6},{7}} [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,3,7,4,6]=>{{1},{2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6},{7}} [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6},{7}} [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6},{7}} [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,3,4]=>{{1},{2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6},{7}} [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6},{7}} [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,3,4,5,7]=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6},{7}} [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,3,4,7,5]=>{{1},{2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6},{7}} [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>{{1},{2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6},{7}} [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>{{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,3,4,5,6]=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}} [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},{2},{3},{4},{5,6},{7}} [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}}=>{{1,2},{3},{4},{5,6},{7}} [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},{2,3},{4},{5,6},{7}} [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}}=>{{1,2,3},{4},{5,6},{7}} [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6},{7}} [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},{2},{3,4},{5,6},{7}} [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}}=>{{1,2},{3,4},{5,6},{7}} [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},{2,3,4},{5,6},{7}} [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}}=>{{1,2,3,4},{5,6},{7}} [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6},{7}} [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,4,5,7]=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6},{7}} [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,7,5]=>{{1},{2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6},{7}} [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6},{7}} [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,4,5,6]=>{{1},{2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6},{7}} [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},{2},{3},{4,5,6},{7}} [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}}=>{{1,2},{3},{4,5,6},{7}} [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},{2,3},{4,5,6},{7}} [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}}=>{{1,2,3},{4,5,6},{7}} [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6},{7}} [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},{2},{3,4,5,6},{7}} [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}}=>{{1,2},{3,4,5,6},{7}} [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},{2,3,4,5,6},{7}} [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}}=>{{1,2,3,4,5,6},{7}} [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}} [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,2,5,7]=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,4,5,6},{3},{7}} [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,2,7,5]=>{{1},{2,3,4,6,7},{5}}=>{{1,2,4,5,6},{3},{7}} [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6},{7}} [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>{{1},{2,3,4,7},{5},{6}}=>{{1,4,5,6},{2},{3},{7}} [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,2,4,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}} [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,2,4,7,6]=>{{1},{2,3,5},{4},{6,7}}=>{{1,2},{3,5,6},{4},{7}} [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,2,6,4,7]=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}} [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,2,6,7,4]=>{{1},{2,3,5,6,7},{4}}=>{{1,2,3,5,6},{4},{7}} [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,7,4,6]=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,5,6},{2},{4},{7}} [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6},{7}} [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6},{7}} [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,2,4]=>{{1},{2,3,5,7},{4,6}}=>{{1,3,5,6},{2,4},{7}} [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6},{7}} [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,2,4,5,7]=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,5,6},{3},{4},{7}} [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,2,4,7,5]=>{{1},{2,3,6,7},{4},{5}}=>{{1,2,5,6},{3},{4},{7}} [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>{{1},{2,3,6},{4},{5,7}}=>{{1,3},{2,5,6},{4},{7}} [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>{{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}} [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,2,4,5,6]=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}} [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}} [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,2,3,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6},{5},{7}} [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,2,3,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6},{5},{7}} [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,2,3,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>{{1,2,3},{4,6},{5},{7}} [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,2,3,7,5,6]=>{{1},{2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6},{5},{7}} [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,3,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}} [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,7,6]=>{{1},{2,4,5},{3},{6,7}}=>{{1,2},{3,4,6},{5},{7}} [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,2,5,6,3,7]=>{{1},{2,4,5,6},{3},{7}}=>{{1},{2,3,4,6},{5},{7}} [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,3]=>{{1},{2,4,5,6,7},{3}}=>{{1,2,3,4,6},{5},{7}} [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,2,5,7,3,6]=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,4,6},{2},{5},{7}} [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,6,3,5,7]=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}} [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,7,5]=>{{1},{2,4,6,7},{3},{5}}=>{{1,2,4,6},{3},{5},{7}} [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,2,6,7,3,5]=>{{1},{2,4,6},{3},{5,7}}=>{{1,3},{2,4,6},{5},{7}} [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,7,3,5,6]=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}} [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6},{7}} [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7}} [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6},{7}} [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6},{7}} [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6},{7}} [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,2,3,7]=>{{1},{2,4,6},{3,5},{7}}=>{{1},{2,4,6},{3,5},{7}} [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,2,7,3]=>{{1},{2,4,6,7},{3,5}}=>{{1,2,4,6},{3,5},{7}} [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6},{7}} [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>{{1},{2,4,7},{3,5},{6}}=>{{1,4,6},{2},{3,5},{7}} [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,2,3,5,7]=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6},{7}} [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,2,3,7,5]=>{{1},{2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6},{7}} [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6},{7}} [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>{{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}} [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,2,3,5,6]=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}} [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,2,3,4,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}} [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,2,3,4,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>{{1,2},{3,6},{4},{5},{7}} [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,2,3,6,4,7]=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2,3,6},{4},{5},{7}} [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,3,6,7,4]=>{{1},{2,5,6,7},{3},{4}}=>{{1,2,3,6},{4},{5},{7}} [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,2,3,7,4,6]=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}} [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,6,3,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6},{5},{7}} [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,6,3,7,4]=>{{1},{2,5},{3},{4,6,7}}=>{{1,2,4},{3,6},{5},{7}} [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,2,6,7,3,4]=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2,4},{5},{7}} [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,7,3,4,6]=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}} [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,2,3,4,7]=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}} [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,2,3,7,4]=>{{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}} [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}} [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}} [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,2,3,4,6]=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}} [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,2,3,4,5,7]=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}} [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}} [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,2,3,7,4,5]=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}} [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,7,3,4,5]=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,2,3,4,5]=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}} [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},{2},{3},{4},{5},{6,7}} [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}}=>{{1,2},{3},{4},{5},{6,7}} [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},{2,3},{4},{5},{6,7}} [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}}=>{{1,2,3},{4},{5},{6,7}} [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,5,6]=>{{1,2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6,7}} [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},{2},{3,4},{5},{6,7}} [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}}=>{{1,2},{3,4},{5},{6,7}} [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},{2,3,4},{5},{6,7}} [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}}=>{{1,2,3,4},{5},{6,7}} [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,4,6]=>{{1,2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6,7}} [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,4,5,7]=>{{1,2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6,7}} [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,4,7,5]=>{{1,2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6,7}} [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6,7}} [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,4,5,6]=>{{1,2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6,7}} [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},{2},{3},{4,5},{6,7}} [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}}=>{{1,2},{3},{4,5},{6,7}} [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},{2,3},{4,5},{6,7}} [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}}=>{{1,2,3},{4,5},{6,7}} [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,5,6]=>{{1,2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6,7}} [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},{2},{3,4,5},{6,7}} [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}}=>{{1,2},{3,4,5},{6,7}} [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},{2,3,4,5},{6,7}} [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}}=>{{1,2,3,4,5},{6,7}} [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,3,6]=>{{1,2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6,7}} [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,3,5,7]=>{{1,2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6,7}} [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,3,7,5]=>{{1,2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6,7}} [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6,7}} [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,3,5,6]=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6,7}} [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6,7}} [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,3,4,7,6]=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}} [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,6,4,7]=>{{1,2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6,7}} [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,3,6,7,4]=>{{1,2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6,7}} [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,3,7,4,6]=>{{1,2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6,7}} [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6,7}} [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6,7}} [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,3,4]=>{{1,2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6,7}} [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,3,4,6]=>{{1,2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6,7}} [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,3,4,5,7]=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6,7}} [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,3,4,7,5]=>{{1,2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6,7}} [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,3,7,4,5]=>{{1,2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6,7}} [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,3,4,5]=>{{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}} [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,3,4,5,6]=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}} [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},{2},{3},{4},{5,6,7}} [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}}=>{{1,2},{3},{4},{5,6,7}} [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},{2,3},{4},{5,6,7}} [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}}=>{{1,2,3},{4},{5,6,7}} [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,5,6]=>{{1,2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6,7}} [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},{2},{3,4},{5,6,7}} [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}}=>{{1,2},{3,4},{5,6,7}} [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},{2,3,4},{5,6,7}} [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}}=>{{1,2,3,4},{5,6,7}} [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,4,6]=>{{1,2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6,7}} [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,4,5,7]=>{{1,2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6,7}} [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,4,7,5]=>{{1,2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6,7}} [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6,7}} [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,4,5,6]=>{{1,2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6,7}} [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},{2},{3},{4,5,6,7}} [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}}=>{{1,2},{3},{4,5,6,7}} [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},{2,3},{4,5,6,7}} [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}}=>{{1,2,3},{4,5,6,7}} [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,5,6]=>{{1,2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6,7}} [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},{2},{3,4,5,6,7}} [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}}=>{{1,2},{3,4,5,6,7}} [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},{2,3,4,5,6,7}} [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}}=>{{1,2,3,4,5,6,7}} [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,1,6]=>{{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}} [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,1,5,7]=>{{1,2,3,4,6},{5},{7}}=>{{1},{2,4,5,6,7},{3}} [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,1,7,5]=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}} [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6,7}} [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>{{1,2,3,4,7},{5},{6}}=>{{1,4,5,6,7},{2},{3}} [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,1,4,6,7]=>{{1,2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6,7},{4}} [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,1,4,7,6]=>{{1,2,3,5},{4},{6,7}}=>{{1,2},{3,5,6,7},{4}} [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,1,6,4,7]=>{{1,2,3,5,6},{4},{7}}=>{{1},{2,3,5,6,7},{4}} [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,1,6,7,4]=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}} [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,7,4,6]=>{{1,2,3,5,7},{4},{6}}=>{{1,3,5,6,7},{2},{4}} [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6,7}} [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6,7}} [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,1,4]=>{{1,2,3,5,7},{4,6}}=>{{1,3,5,6,7},{2,4}} [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,1,4,6]=>{{1,2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6,7}} [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,1,4,5,7]=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,5,6,7},{3},{4}} [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,1,4,7,5]=>{{1,2,3,6,7},{4},{5}}=>{{1,2,5,6,7},{3},{4}} [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,1,7,4,5]=>{{1,2,3,6},{4},{5,7}}=>{{1,3},{2,5,6,7},{4}} [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,1,4,5]=>{{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}} [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,1,4,5,6]=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}} [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6,7},{5}} [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,1,3,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6,7},{5}} [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,1,3,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6,7},{5}} [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,3,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>{{1,2,3},{4,6,7},{5}} [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,1,3,7,5,6]=>{{1,2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6,7},{5}} [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,1,5,3,6,7]=>{{1,2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6,7},{5}} [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,1,5,3,7,6]=>{{1,2,4,5},{3},{6,7}}=>{{1,2},{3,4,6,7},{5}} [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,1,5,6,3,7]=>{{1,2,4,5,6},{3},{7}}=>{{1},{2,3,4,6,7},{5}} [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,3]=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{5}} [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,1,5,7,3,6]=>{{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}} [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,1,6,3,5,7]=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,4,6,7},{3},{5}} [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,7,5]=>{{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}} [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,1,6,7,3,5]=>{{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4,6,7},{5}} [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,1,7,3,5,6]=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}} [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6,7}} [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6,7}} [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6,7}} [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6,7}} [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,1,7,3,6]=>{{1,2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6,7}} [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,1,3,7]=>{{1,2,4,6},{3,5},{7}}=>{{1},{2,4,6,7},{3,5}} [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,1,7,3]=>{{1,2,4,6,7},{3,5}}=>{{1,2,4,6,7},{3,5}} [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,1,3]=>{{1,2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6,7}} [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,1,3,6]=>{{1,2,4,7},{3,5},{6}}=>{{1,4,6,7},{2},{3,5}} [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,1,3,5,7]=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6,7}} [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,1,3,7,5]=>{{1,2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6,7}} [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6,7}} [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,1,3,5]=>{{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}} [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,1,3,5,6]=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}} [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,1,3,4,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6,7},{4},{5}} [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,1,3,4,7,6]=>{{1,2,5},{3},{4},{6,7}}=>{{1,2},{3,6,7},{4},{5}} [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,1,3,6,4,7]=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}} [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,1,3,6,7,4]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}} [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,1,3,7,4,6]=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}} [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,1,6,3,4,7]=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6,7},{5}} [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,1,6,3,7,4]=>{{1,2,5},{3},{4,6,7}}=>{{1,2,4},{3,6,7},{5}} [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,1,6,7,3,4]=>{{1,2,5,7},{3},{4,6}}=>{{1,3,6,7},{2,4},{5}} [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,1,7,3,4,6]=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}} [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,1,3,4,7]=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}} [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,1,3,7,4]=>{{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}} [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,1,7,3,4]=>{{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}} [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}} [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,1,3,4,6]=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}} [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,1,3,4,5,7]=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}} [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,1,3,4,7,5]=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}} [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,1,3,7,4,5]=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}} [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,1,7,3,4,5]=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}} [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,1,3,4,5]=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}} [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,7},{6}} [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,2,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,7},{6}} [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,7},{6}} [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>{{1,2,3},{4},{5,7},{6}} [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,7,5,6]=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}} [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,7},{6}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>{{1,2},{3,4},{5,7},{6}} [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>{{1},{2,3,4},{5,7},{6}} [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>{{1,2,3,4},{5,7},{6}} [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,5,7,4,6]=>{{1,3},{2},{4,5,7},{6}}=>{{1,3,4},{2},{5,7},{6}} [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,2,6,4,5,7]=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}} [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,2,6,4,7,5]=>{{1,3},{2},{4,6,7},{5}}=>{{1,2,4},{3},{5,7},{6}} [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,2,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6}} [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,2,7,4,5,6]=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}} [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>{{1},{2},{3},{4,5,7},{6}} [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,4,2,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>{{1,2},{3},{4,5,7},{6}} [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>{{1},{2,3},{4,5,7},{6}} [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,4,2,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>{{1,2,3},{4,5,7},{6}} [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,7,5,6]=>{{1,3,4},{2},{5,7},{6}}=>{{1,3},{2},{4,5,7},{6}} [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,2,6,7]=>{{1,3,4,5},{2},{6},{7}}=>{{1},{2},{3,4,5,7},{6}} [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,4,5,2,7,6]=>{{1,3,4,5},{2},{6,7}}=>{{1,2},{3,4,5,7},{6}} [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,6,2,7]=>{{1,3,4,5,6},{2},{7}}=>{{1},{2,3,4,5,7},{6}} [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,2]=>{{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{6}} [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,4,5,7,2,6]=>{{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}} [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,4,6,2,5,7]=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}} [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,4,6,2,7,5]=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}} [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,4,6,7,2,5]=>{{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4,5,7},{6}} [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,4,7,2,5,6]=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}} [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2},{3,5,7},{4},{6}} [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,5,2,4,7,6]=>{{1,3,5},{2},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6}} [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,6,4,7]=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,3,5,7},{4},{6}} [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,2,6,7,4]=>{{1,3,5,6,7},{2},{4}}=>{{1,2,3,5,7},{4},{6}} [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,7,4,6]=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}} [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,5,6,2,4,7]=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4},{3,5,7},{6}} [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,5,6,2,7,4]=>{{1,3,5},{2},{4,6,7}}=>{{1,2,4},{3,5,7},{6}} [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,5,6,7,2,4]=>{{1,3,5,7},{2},{4,6}}=>{{1,3,5,7},{2,4},{6}} [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,5,7,2,4,6]=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}} [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,6,2,4,5,7]=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}} [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,6,2,4,7,5]=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}} [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,6,2,7,4,5]=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}} [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,6,7,2,4,5]=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}} [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,7,2,4,5,6]=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5,7}} [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>{{1,2},{3},{4,6},{5,7}} [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>{{1},{2,3},{4,6},{5,7}} [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>{{1,2,3},{4,6},{5,7}} [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,1,2,7,5,6]=>{{1,3},{2,4},{5,7},{6}}=>{{1,3},{2},{4,6},{5,7}} [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}}=>{{1},{2},{3,4,6},{5,7}} [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}}=>{{1,2},{3,4,6},{5,7}} [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}}=>{{1},{2,3,4,6},{5,7}} [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}}=>{{1,2,3,4,6},{5,7}} [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,1,5,7,2,6]=>{{1,3},{2,4,5,7},{6}}=>{{1,3,4,6},{2},{5,7}} [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,1,6,2,5,7]=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4,6},{3},{5,7}} [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,7,5]=>{{1,3},{2,4,6,7},{5}}=>{{1,2,4,6},{3},{5,7}} [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}} [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,1,7,2,5,6]=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}} [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,1,2,6,7]=>{{1,3,5},{2,4},{6},{7}}=>{{1},{2},{3,5,7},{4,6}} [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,1,2,7,6]=>{{1,3,5},{2,4},{6,7}}=>{{1,2},{3,5,7},{4,6}} [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,1,6,2,7]=>{{1,3,5,6},{2,4},{7}}=>{{1},{2,3,5,7},{4,6}} [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,1,6,7,2]=>{{1,3,5,6,7},{2,4}}=>{{1,2,3,5,7},{4,6}} [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,1,7,2,6]=>{{1,3,5,7},{2,4},{6}}=>{{1,3,5,7},{2},{4,6}} [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,1,2,7]=>{{1,3,5},{2,4,6},{7}}=>{{1},{2,4,6},{3,5,7}} [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,1,7,2]=>{{1,3,5},{2,4,6,7}}=>{{1,2,4,6},{3,5,7}} [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,1,2]=>{{1,3,5,7},{2,4,6}}=>{{1,3,5,7},{2,4,6}} [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,1,2,6]=>{{1,3,5},{2,4,7},{6}}=>{{1,4,6},{2},{3,5,7}} [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,1,2,5,7]=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,5,7},{3},{4,6}} [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,1,2,7,5]=>{{1,3,6,7},{2,4},{5}}=>{{1,2,5,7},{3},{4,6}} [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,1,7,2,5]=>{{1,3,6},{2,4},{5,7}}=>{{1,3},{2,5,7},{4,6}} [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,1,2,5]=>{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}} [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,1,2,5,6]=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}} [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,1,2,4,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5,7}} [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,6]=>{{1,3},{2,5},{4},{6,7}}=>{{1,2},{3,6},{4},{5,7}} [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,1,2,6,4,7]=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,3,6},{4},{5,7}} [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,1,2,6,7,4]=>{{1,3},{2,5,6,7},{4}}=>{{1,2,3,6},{4},{5,7}} [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,1,2,7,4,6]=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}} [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}} [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}}=>{{1,2,4},{3,6},{5,7}} [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,1,6,7,2,4]=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}} [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,1,7,2,4,6]=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}} [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,1,2,4,7]=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}} [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,1,2,7,4]=>{{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}} [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,1,7,2,4]=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}} [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,1,2,4]=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}} [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,1,2,4,6]=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}} [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,1,2,4,5,7]=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}} [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,1,2,4,7,5]=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}} [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,1,2,7,4,5]=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}} [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,1,7,2,4,5]=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}} [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,1,2,4,5]=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}} [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,1,2,4,5,6]=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5},{6}} [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2,3,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>{{1,2},{3},{4,7},{5},{6}} [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,3,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,3},{4,7},{5},{6}} [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,3,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>{{1,2,3},{4,7},{5},{6}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,2,3,7,5,6]=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}} [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,2,5,3,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2},{3,4,7},{5},{6}} [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2,5,3,7,6]=>{{1,4,5},{2},{3},{6,7}}=>{{1,2},{3,4,7},{5},{6}} [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,6,3,7]=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,3,4,7},{5},{6}} [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,2,5,6,7,3]=>{{1,4,5,6,7},{2},{3}}=>{{1,2,3,4,7},{5},{6}} [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2,5,7,3,6]=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}} [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,3,5,7]=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}} [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,6,3,7,5]=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}} [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,6,7,3,5]=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}} [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,2,7,3,5,6]=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}} [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,7},{6}} [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,5,2,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>{{1,2},{3,5},{4,7},{6}} [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,5,2,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,3,5},{4,7},{6}} [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,5,2,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>{{1,2,3,5},{4,7},{6}} [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,5,2,7,3,6]=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}} [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,5,6,2,3,7]=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,4,7},{3,5},{6}} [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,5,6,2,7,3]=>{{1,4,6,7},{2},{3,5}}=>{{1,2,4,7},{3,5},{6}} [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,5,6,7,2,3]=>{{1,4,6},{2},{3,5,7}}=>{{1,3,5},{2,4,7},{6}} [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,5,7,2,3,6]=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}} [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,6,2,3,5,7]=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}} [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,6,2,3,7,5]=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}} [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}} [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,6,7,2,3,5]=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}} [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,7,2,3,5,6]=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}} [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,1,2,3,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}} [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,7,6]=>{{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}} [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,1,2,6,3,7]=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}} [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,1,2,6,7,3]=>{{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}} [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,7,3,6]=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}} [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,1,6,2,3,7]=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}} [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,1,6,2,7,3]=>{{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}} [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,1,6,7,2,3]=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}} [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,1,7,2,3,6]=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}} [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}} [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}} [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,1,7,2,3]=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}} [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>{{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}} [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,1,2,3,6]=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}} [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,1,2,3,5,7]=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}} [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,1,2,3,7,5]=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}} [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,1,2,7,3,5]=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}} [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,1,7,2,3,5]=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}} [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,1,2,3,5]=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}} [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,1,2,3,5,6]=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,2,3,4,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}} [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,1,2,3,4,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}} [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,3,6,4,7]=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}} [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,2,3,6,7,4]=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}} [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,1,2,3,7,4,6]=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}} [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,6,3,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}} [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,2,6,3,7,4]=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}} [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,2,6,7,3,4]=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}} [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,1,2,7,3,4,6]=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}} [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,6,2,3,4,7]=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}} [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,6,2,3,7,4]=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}} [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,6,2,7,3,4]=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}} [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,6,7,2,3,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}} [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,1,7,2,3,4,6]=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}} [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,1,2,3,4,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}} [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,1,2,3,7,4]=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}} [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,1,2,7,3,4]=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}} [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,1,7,2,3,4]=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}} [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,1,2,3,4]=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}} [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,1,2,3,4,6]=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}} [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,7,5]=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}} [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1,2,3,7,4,5]=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}} [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1,2,7,3,4,5]=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}} [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1,7,2,3,4,5]=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}} [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6]=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}} [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},{2},{3},{4},{5},{6},{7},{8}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6},{7},{8}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}}=>{{1,2,3},{4},{5},{6},{7},{8}} [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,6,7]=>{{1},{2},{3},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6},{7},{8}} [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}}=>{{1,2,3,4},{5},{6},{7},{8}} [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,5,8,6]=>{{1},{2},{3},{4},{5,7,8},{6}}=>{{1,2,4},{3},{5},{6},{7},{8}} [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,5,6]=>{{1},{2},{3},{4},{5,7},{6,8}}=>{{1,3},{2,4},{5},{6},{7},{8}} [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,5,6,7]=>{{1},{2},{3},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7},{8}} [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},{2},{3},{4,5},{6},{7},{8}} [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},{2,3},{4,5},{6},{7},{8}} [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,6,7]=>{{1},{2},{3},{4,5},{6,8},{7}}=>{{1,3},{2},{4,5},{6},{7},{8}} [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}}=>{{1,2,3,4,5},{6},{7},{8}} [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,4,7,5,8]=>{{1},{2},{3},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6},{7},{8}} [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,4,7,8,5]=>{{1},{2},{3},{4,6,7,8},{5}}=>{{1,2,3,5},{4},{6},{7},{8}} [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,4,8,5,7]=>{{1},{2},{3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6},{7},{8}} [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,6,7,4,8,5]=>{{1},{2},{3},{4,6},{5,7,8}}=>{{1,2,4},{3,5},{6},{7},{8}} [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,4,5,8,6]=>{{1},{2},{3},{4,7,8},{5},{6}}=>{{1,2,5},{3},{4},{6},{7},{8}} [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,4,8,5,6]=>{{1},{2},{3},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6},{7},{8}} [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>{{1},{2},{3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7},{8}} [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},{2},{3,4},{5,6},{7},{8}} [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}}=>{{1,2,3,4},{5,6},{7},{8}} [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,5,6,7]=>{{1},{2},{3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6},{7},{8}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>{{1,2,3,4,5,6},{7},{8}} [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,4,5,7,3,8,6]=>{{1},{2},{3,4,5,7,8},{6}}=>{{1,2,4,5,6},{3},{7},{8}} [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,6,7,8,3,5]=>{{1},{2},{3,4,6,8},{5,7}}=>{{1,3,5,6},{2,4},{7},{8}} [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,2,5,3,6,4,7,8]=>{{1},{2},{3,5,6},{4},{7},{8}}=>{{1},{2},{3,4,6},{5},{7},{8}} [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,3,6,7,4,8]=>{{1},{2},{3,5,6,7},{4},{8}}=>{{1},{2,3,4,6},{5},{7},{8}} [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,3,6,7,8,4]=>{{1},{2},{3,5,6,7,8},{4}}=>{{1,2,3,4,6},{5},{7},{8}} [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,3,8,4,6,7]=>{{1},{2},{3,5,8},{4},{6},{7}}=>{{1,4,6},{2},{3},{5},{7},{8}} [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,5,6,3,4,7,8]=>{{1},{2},{3,5},{4,6},{7},{8}}=>{{1},{2},{3,5},{4,6},{7},{8}} [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,5,6,3,7,8,4]=>{{1},{2},{3,5},{4,6,7,8}}=>{{1,2,3,5},{4,6},{7},{8}} [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,5,6,7,3,8,4]=>{{1},{2},{3,5,7,8},{4,6}}=>{{1,2,4,6},{3,5},{7},{8}} [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,8,3,4]=>{{1},{2},{3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,3,4,7,8,5]=>{{1},{2},{3,6,7,8},{4},{5}}=>{{1,2,3,6},{4},{5},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,3,4,8,5,7]=>{{1},{2},{3,6,8},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7},{8}} [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,3,4,5,8,6]=>{{1},{2},{3,7,8},{4},{5},{6}}=>{{1,2,6},{3},{4},{5},{7},{8}} [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},{2},{3},{4},{5},{6,7},{8}} [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},{2,3},{4},{5},{6,7},{8}} [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,6,7]=>{{1},{2,3},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6,7},{8}} [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}}=>{{1,2,3,4},{5},{6,7},{8}} [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},{2},{3},{4,5},{6,7},{8}} [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},{2,3},{4,5},{6,7},{8}} [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,6,7]=>{{1},{2,3},{4,5},{6,8},{7}}=>{{1,3},{2},{4,5},{6,7},{8}} [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,4,6,7]=>{{1},{2,3},{4,5,8},{6},{7}}=>{{1,4,5},{2},{3},{6,7},{8}} [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,4,7,5,8]=>{{1},{2,3},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6,7},{8}} [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,4,8,5,7]=>{{1},{2,3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,7},{8}} [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,4,8,5,6]=>{{1},{2,3},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6,7},{8}} [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,4,5,6,7]=>{{1},{2,3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6,7},{8}} [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},{2,3,4},{5,6,7},{8}} [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}}=>{{1,2,3,4},{5,6,7},{8}} [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,5,6,7]=>{{1},{2,3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,7},{8}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7},{8}} [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,7,8,2,6]=>{{1},{2,3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6,7},{8}} [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,4,6,7,2,8,5]=>{{1},{2,3,4,6},{5,7,8}}=>{{1,2,4},{3,5,6,7},{8}} [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,5,2,6,7,4,8]=>{{1},{2,3,5,6,7},{4},{8}}=>{{1},{2,3,4,6,7},{5},{8}} [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,5,2,6,8,4,7]=>{{1},{2,3,5,6,8},{4},{7}}=>{{1,3,4,6,7},{2},{5},{8}} [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,2,7,4,8,6]=>{{1},{2,3,5,7,8},{4},{6}}=>{{1,2,4,6,7},{3},{5},{8}} [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,2,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,5},{4,6,7},{8}} [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,2,4]=>{{1},{2,3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6,7},{8}} [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>{{1},{2,3,5},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,6,7},{8}} [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,6,2,4,7,8,5]=>{{1},{2,3,6,7,8},{4},{5}}=>{{1,2,3,6,7},{4},{5},{8}} [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,6,2,7,8,4,5]=>{{1},{2,3,6,8},{4},{5,7}}=>{{1,3,6,7},{2,4},{5},{8}} [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,7,2,8,4,5,6]=>{{1},{2,3,7},{4},{5,8},{6}}=>{{1,4},{2,6,7},{3},{5},{8}} [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7,8]=>{{1},{2,4},{3},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,7},{6},{8}} [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,2,3,5,8,6,7]=>{{1},{2,4},{3},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,7},{6},{8}} [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,2,3,6,7,8,5]=>{{1},{2,4},{3},{5,6,7,8}}=>{{1,2,3,4},{5,7},{6},{8}} [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,7,5,6,8]=>{{1},{2,4},{3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,7},{6},{8}} [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,2,3,8,5,6,7]=>{{1},{2,4},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,7},{6},{8}} [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,2,5,3,6,7,8]=>{{1},{2,4,5},{3},{6},{7},{8}}=>{{1},{2},{3},{4,5,7},{6},{8}} [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,2,5,3,7,6,8]=>{{1},{2,4,5},{3},{6,7},{8}}=>{{1},{2,3},{4,5,7},{6},{8}} [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,2,5,3,8,6,7]=>{{1},{2,4,5},{3},{6,8},{7}}=>{{1,3},{2},{4,5,7},{6},{8}} [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,2,5,6,7,3,8]=>{{1},{2,4,5,6,7},{3},{8}}=>{{1},{2,3,4,5,7},{6},{8}} [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,8,3]=>{{1},{2,4,5,6,7,8},{3}}=>{{1,2,3,4,5,7},{6},{8}} [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,8,6]=>{{1},{2,4,5,7,8},{3},{6}}=>{{1,2,4,5,7},{3},{6},{8}} [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,2,5,7,8,3,6]=>{{1},{2,4,5,7},{3},{6,8}}=>{{1,3},{2,4,5,7},{6},{8}} [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,2,5,8,3,6,7]=>{{1},{2,4,5,8},{3},{6},{7}}=>{{1,4,5,7},{2},{3},{6},{8}} [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,2,6,3,5,7,8]=>{{1},{2,4,6},{3},{5},{7},{8}}=>{{1},{2},{3,5,7},{4},{6},{8}} [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,2,6,3,7,5,8]=>{{1},{2,4,6,7},{3},{5},{8}}=>{{1},{2,3,5,7},{4},{6},{8}} [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,8,5,7]=>{{1},{2,4,6,8},{3},{5},{7}}=>{{1,3,5,7},{2},{4},{6},{8}} [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,2,6,7,8,3,5]=>{{1},{2,4,6,8},{3},{5,7}}=>{{1,3,5,7},{2,4},{6},{8}} [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,4,2,7,3,5,6,8]=>{{1},{2,4,7},{3},{5},{6},{8}}=>{{1},{2,5,7},{3},{4},{6},{8}} [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,2,7,3,8,5,6]=>{{1},{2,4,7},{3},{5},{6,8}}=>{{1,3},{2,5,7},{4},{6},{8}} [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,2,7,8,3,5,6]=>{{1},{2,4,7},{3},{5,8},{6}}=>{{1,4},{2,5,7},{3},{6},{8}} [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,4,5,2,6,3,8,7]=>{{1},{2,4},{3,5,6},{7,8}}=>{{1,2},{3,4,6},{5,7},{8}} [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,2,6,7,8,3]=>{{1},{2,4},{3,5,6,7,8}}=>{{1,2,3,4,6},{5,7},{8}} [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,5,2,7,3,8,6]=>{{1},{2,4},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,7},{8}} [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,6,2,7,3,8]=>{{1},{2,4,6,7},{3,5},{8}}=>{{1},{2,3,5,7},{4,6},{8}} [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,2,3,8]=>{{1},{2,4,6},{3,5,7},{8}}=>{{1},{2,4,6},{3,5,7},{8}} [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,2,3]=>{{1},{2,4,6,8},{3,5,7}}=>{{1,3,5,7},{2,4,6},{8}} [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,5,7,2,3,8,6]=>{{1},{2,4,7,8},{3,5},{6}}=>{{1,2,5,7},{3},{4,6},{8}} [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,6,2,7,3,8,5]=>{{1},{2,4},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7},{8}} [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,4,6,2,7,8,3,5]=>{{1},{2,4},{3,6,8},{5,7}}=>{{1,3,6},{2,4},{5,7},{8}} [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,4,6,7,2,8,3,5]=>{{1},{2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7},{4},{8}} [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,4,7,8,2,3,5,6]=>{{1},{2,4,8},{3,7},{5},{6}}=>{{1,5,7},{2,6},{3},{4},{8}} [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,2,3,4,6,7,8]=>{{1},{2,5},{3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,7},{5},{6},{8}} [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,2,3,4,8,6,7]=>{{1},{2,5},{3},{4},{6,8},{7}}=>{{1,3},{2},{4,7},{5},{6},{8}} [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,2,3,6,4,7,8]=>{{1},{2,5,6},{3},{4},{7},{8}}=>{{1},{2},{3,4,7},{5},{6},{8}} [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,3,6,7,8,4]=>{{1},{2,5,6,7,8},{3},{4}}=>{{1,2,3,4,7},{5},{6},{8}} [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,5,2,3,7,4,6,8]=>{{1},{2,5,7},{3},{4},{6},{8}}=>{{1},{2,4,7},{3},{5},{6},{8}} [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,2,6,3,4,7,8]=>{{1},{2,5},{3},{4,6},{7},{8}}=>{{1},{2},{3,5},{4,7},{6},{8}} [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,2,6,3,7,4,8]=>{{1},{2,5},{3},{4,6,7},{8}}=>{{1},{2,3,5},{4,7},{6},{8}} [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,2,6,3,8,4,7]=>{{1},{2,5},{3},{4,6,8},{7}}=>{{1,3,5},{2},{4,7},{6},{8}} [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,7,3,4,6,8]=>{{1},{2,5},{3},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,7},{6},{8}} [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,5,2,7,3,8,4,6]=>{{1},{2,5},{3},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6},{8}} [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,5,2,8,3,4,6,7]=>{{1},{2,5},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,7},{6},{8}} [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,6,2,3,8,4,7]=>{{1},{2,5},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,7},{5},{8}} [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,2,3,4]=>{{1},{2,5,8},{3,6},{4,7}}=>{{1,4,7},{2,5},{3,6},{8}} [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,5,7,2,8,3,4,6]=>{{1},{2,5,8},{3,7},{4},{6}}=>{{1,4,7},{2,6},{3},{5},{8}} [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,5,8,2,3,4,6,7]=>{{1},{2,5},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,7},{5},{8}} [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,2,3,4,5,7,8]=>{{1},{2,6},{3},{4},{5},{7},{8}}=>{{1},{2},{3,7},{4},{5},{6},{8}} [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,2,3,4,7,5,8]=>{{1},{2,6,7},{3},{4},{5},{8}}=>{{1},{2,3,7},{4},{5},{6},{8}} [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,2,3,4,8,5,7]=>{{1},{2,6,8},{3},{4},{5},{7}}=>{{1,3,7},{2},{4},{5},{6},{8}} [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,6,2,7,3,4,5,8]=>{{1},{2,6},{3},{4,7},{5},{8}}=>{{1},{2,5},{3,7},{4},{6},{8}} [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,6,2,7,3,8,4,5]=>{{1},{2,6,8},{3},{4,7},{5}}=>{{1,3,7},{2,5},{4},{6},{8}} [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,2,8,3,4,5,7]=>{{1},{2,6},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,7},{4},{6},{8}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,2,3,4,5,8]=>{{1},{2,6},{3,7},{4},{5},{8}}=>{{1},{2,6},{3,7},{4},{5},{8}} [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,6,7,2,8,3,4,5]=>{{1},{2,6},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,7},{5},{8}} [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>{{1},{2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7},{4},{8}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,2,3,4,5,6,8]=>{{1},{2,7},{3},{4},{5},{6},{8}}=>{{1},{2,7},{3},{4},{5},{6},{8}} [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,8,6]=>{{1},{2,7,8},{3},{4},{5},{6}}=>{{1,2,7},{3},{4},{5},{6},{8}} [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7,2,3,4,8,5,6]=>{{1},{2,7},{3},{4},{5},{6,8}}=>{{1,3},{2,7},{4},{5},{6},{8}} [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7,2,3,8,4,5,6]=>{{1},{2,7},{3},{4},{5,8},{6}}=>{{1,4},{2,7},{3},{5},{6},{8}} [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,2,8,3,4,5,6]=>{{1},{2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7},{3},{4},{6},{8}} [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,2,3,4,5,6]=>{{1},{2,7},{3,8},{4},{5},{6}}=>{{1,6},{2,7},{3},{4},{5},{8}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7]=>{{1},{2,8},{3},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6},{8}} [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},{2},{3},{4},{5},{6},{7,8}} [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}}=>{{1,2},{3},{4},{5},{6},{7,8}} [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}}=>{{1,2,3,4},{5},{6},{7,8}} [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,5,6,7]=>{{1,2},{3},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7,8}} [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,6,7,8,4,5]=>{{1,2},{3},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6},{7,8}} [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,4,5,6,7]=>{{1,2},{3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7,8}} [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}}=>{{1,2},{3,4},{5,6},{7,8}} [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}}=>{{1,2,3,4},{5,6},{7,8}} [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,5,7]=>{{1,2},{3,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,6},{7,8}} [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,5,8,6]=>{{1,2},{3,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,6},{7,8}} [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,5,6]=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,6},{7,8}} [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,5,6,7]=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6},{7,8}} [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}}=>{{1,2},{3,4,5,6},{7,8}} [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}}=>{{1,2,3,4,5,6},{7,8}} [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,4,5,7,3,8,6]=>{{1,2},{3,4,5,7,8},{6}}=>{{1,2,4,5,6},{3},{7,8}} [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,3,6,7]=>{{1,2},{3,4,5,8},{6},{7}}=>{{1,4,5,6},{2},{3},{7,8}} [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,3,5,8,7]=>{{1,2},{3,4,6},{5},{7,8}}=>{{1,2},{3,5,6},{4},{7,8}} [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,3,8,5,7]=>{{1,2},{3,4,6,8},{5},{7}}=>{{1,3,5,6},{2},{4},{7,8}} [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,8,3,5,7]=>{{1,2},{3,4,6},{5,8},{7}}=>{{1,4},{2},{3,5,6},{7,8}} [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,3,6,4,8,7]=>{{1,2},{3,5,6},{4},{7,8}}=>{{1,2},{3,4,6},{5},{7,8}} [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,3,7,4,8,6]=>{{1,2},{3,5,7,8},{4},{6}}=>{{1,2,4,6},{3},{5},{7,8}} [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,3,4,8,7]=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}} [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,3,4]=>{{1,2},{3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6},{7,8}} [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,3,8,4,6]=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,6},{7,8}} [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,5,7,8,3,4,6]=>{{1,2},{3,5,8},{4,7},{6}}=>{{1,4,6},{2,5},{3},{7,8}} [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,3,4,5,8,7]=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}} [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,3,4,7,8,5]=>{{1,2},{3,6,7,8},{4},{5}}=>{{1,2,3,6},{4},{5},{7,8}} [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,6,3,4,8,5,7]=>{{1,2},{3,6,8},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7,8}} [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,6,3,7,4,5,8]=>{{1,2},{3,6},{4},{5,7},{8}}=>{{1},{2,4},{3,6},{5},{7,8}} [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,3,7,4,8,5]=>{{1,2},{3,6},{4},{5,7,8}}=>{{1,2,4},{3,6},{5},{7,8}} [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,3,7,8,4,5]=>{{1,2},{3,6,8},{4},{5,7}}=>{{1,3,6},{2,4},{5},{7,8}} [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,3,4,5]=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}} [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,7,8,3,4,5,6]=>{{1,2},{3,7},{4,8},{5},{6}}=>{{1,5},{2,6},{3},{4},{7,8}} [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,3,4,5,6,7]=>{{1,2},{3,8},{4},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5},{7,8}} [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}}=>{{1,2,3},{4},{5},{6,7,8}} [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}}=>{{1,2,3,4},{5},{6,7,8}} [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,1,4,7,8,5,6]=>{{1,2,3},{4},{5,7},{6,8}}=>{{1,3},{2,4},{5},{6,7,8}} [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,5,6,7]=>{{1,2,3},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6,7,8}} [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},{2,3},{4,5},{6,7,8}} [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},{2,3,4,5},{6,7,8}} [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,4,7,5,8]=>{{1,2,3},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6,7,8}} [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,4,8,5,7]=>{{1,2,3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,7,8}} [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,6,7,8,4,5]=>{{1,2,3},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6,7,8}} [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,1,6,8,4,5,7]=>{{1,2,3},{4,6},{5,8},{7}}=>{{1,4},{2},{3,5},{6,7,8}} [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,4,8,5,6]=>{{1,2,3},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6,7,8}} [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},{2},{3},{4},{5,6,7,8}} [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}}=>{{1,2},{3},{4},{5,6,7,8}} [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},{2,3},{4},{5,6,7,8}} [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}}=>{{1,2,3},{4},{5,6,7,8}} [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,6,7]=>{{1,2,3,4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,6,7,8}} [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},{2},{3,4},{5,6,7,8}} [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}}=>{{1,2},{3,4},{5,6,7,8}} [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},{2,3,4},{5,6,7,8}} [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}}=>{{1,2,3,4},{5,6,7,8}} [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,5,7]=>{{1,2,3,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,7,8}} [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,5,6,8]=>{{1,2,3,4},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,6,7,8}} [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,5,8,6]=>{{1,2,3,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,6,7,8}} [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,7,8,5,6]=>{{1,2,3,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,6,7,8}} [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,5,6,7]=>{{1,2,3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,7,8}} [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},{2},{3},{4,5,6,7,8}} [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,6,7]=>{{1,2,3,4,5},{6,8},{7}}=>{{1,3},{2},{4,5,6,7,8}} [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>{{1,2,3,4,5,6},{7},{8}}=>{{1},{2},{3,4,5,6,7,8}} [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6,7,8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7,8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7,8}} [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,1,7]=>{{1,2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7,8},{2}} [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,1,8,6]=>{{1,2,3,4,5,7,8},{6}}=>{{1,2,4,5,6,7,8},{3}} [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6,7,8}} [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,1,6,7]=>{{1,2,3,4,5,8},{6},{7}}=>{{1,4,5,6,7,8},{2},{3}} [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,1,7,5,8]=>{{1,2,3,4,6,7},{5},{8}}=>{{1},{2,3,5,6,7,8},{4}} [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,1,5]=>{{1,2,3,4,6,8},{5,7}}=>{{1,3,5,6,7,8},{2,4}} [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,7,1,8,5,6]=>{{1,2,3,4,7},{5},{6,8}}=>{{1,3},{2,5,6,7,8},{4}} [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}} [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,1,6,4,7,8]=>{{1,2,3,5,6},{4},{7},{8}}=>{{1},{2},{3,4,6,7,8},{5}} [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,1,6,7,8,4]=>{{1,2,3,5,6,7,8},{4}}=>{{1,2,3,4,6,7,8},{5}} [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,1,7,4,8,6]=>{{1,2,3,5,7,8},{4},{6}}=>{{1,2,4,6,7,8},{3},{5}} [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,1,7,8,4]=>{{1,2,3,5},{4,6,7,8}}=>{{1,2,3,5},{4,6,7,8}} [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,1,4]=>{{1,2,3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6,7,8}} [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,1,4,5,8,7]=>{{1,2,3,6},{4},{5},{7,8}}=>{{1,2},{3,6,7,8},{4},{5}} [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,6,1,4,7,5,8]=>{{1,2,3,6,7},{4},{5},{8}}=>{{1},{2,3,6,7,8},{4},{5}} [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,6,1,7,8,4,5]=>{{1,2,3,6,8},{4},{5,7}}=>{{1,3,6,7,8},{2,4},{5}} [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,6,1,8,4,5,7]=>{{1,2,3,6},{4},{5,8},{7}}=>{{1,4},{2},{3,6,7,8},{5}} [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,1,4,8,5,6]=>{{1,2,3,7},{4},{5},{6,8}}=>{{1,3},{2,6,7,8},{4},{5}} [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,7,8,1,4,5,6]=>{{1,2,3,7},{4,8},{5},{6}}=>{{1,5},{2,6,7,8},{3},{4}} [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,7,8},{6}} [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,1,3,6,7,8,5]=>{{1,2,4},{3},{5,6,7,8}}=>{{1,2,3,4},{5,7,8},{6}} [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,1,3,6,8,5,7]=>{{1,2,4},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,7,8},{6}} [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,3,7,5,8,6]=>{{1,2,4},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,7,8},{6}} [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,1,3,7,8,5,6]=>{{1,2,4},{3},{5,7},{6,8}}=>{{1,3},{2,4},{5,7,8},{6}} [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,1,3,8,5,6,7]=>{{1,2,4},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,7,8},{6}} [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,1,5,3,6,7,8]=>{{1,2,4,5},{3},{6},{7},{8}}=>{{1},{2},{3},{4,5,7,8},{6}} [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,4,1,5,3,6,8,7]=>{{1,2,4,5},{3},{6},{7,8}}=>{{1,2},{3},{4,5,7,8},{6}} [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,1,5,3,7,6,8]=>{{1,2,4,5},{3},{6,7},{8}}=>{{1},{2,3},{4,5,7,8},{6}} [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,1,5,3,8,6,7]=>{{1,2,4,5},{3},{6,8},{7}}=>{{1,3},{2},{4,5,7,8},{6}} [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,4,1,5,6,3,7,8]=>{{1,2,4,5,6},{3},{7},{8}}=>{{1},{2},{3,4,5,7,8},{6}} [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,4,1,5,6,3,8,7]=>{{1,2,4,5,6},{3},{7,8}}=>{{1,2},{3,4,5,7,8},{6}} [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,8,3]=>{{1,2,4,5,6,7,8},{3}}=>{{1,2,3,4,5,7,8},{6}} [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,6,3,5,8,7]=>{{1,2,4,6},{3},{5},{7,8}}=>{{1,2},{3,5,7,8},{4},{6}} [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,6,3,7,5,8]=>{{1,2,4,6,7},{3},{5},{8}}=>{{1},{2,3,5,7,8},{4},{6}} [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,7,8,5]=>{{1,2,4,6,7,8},{3},{5}}=>{{1,2,3,5,7,8},{4},{6}} [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,8,5,7]=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,5,7,8},{2},{4},{6}} [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,1,6,7,3,8,5]=>{{1,2,4,6},{3},{5,7,8}}=>{{1,2,4},{3,5,7,8},{6}} [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,4,1,6,7,8,3,5]=>{{1,2,4,6,8},{3},{5,7}}=>{{1,3,5,7,8},{2,4},{6}} [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,1,6,8,3,5,7]=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}} [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,4,5,1,8,3,6,7]=>{{1,2,4},{3,5,8},{6},{7}}=>{{1,4,6},{2},{3},{5,7,8}} [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,6,1,7,8,3]=>{{1,2,4,6,7,8},{3,5}}=>{{1,2,3,5,7,8},{4,6}} [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,1,8,3]=>{{1,2,4,6},{3,5,7,8}}=>{{1,2,4,6},{3,5,7,8}} [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,1,3]=>{{1,2,4,6,8},{3,5,7}}=>{{1,3,5,7,8},{2,4,6}} [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,4,5,7,1,3,8,6]=>{{1,2,4,7,8},{3,5},{6}}=>{{1,2,5,7,8},{3},{4,6}} [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,1,3,5,8,7]=>{{1,2,4},{3,6},{5},{7,8}}=>{{1,2},{3,6},{4},{5,7,8}} [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,6,1,3,8,5,7]=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}} [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,1,7,3,8,5]=>{{1,2,4},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7,8}} [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,6,1,8,3,5,7]=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}} [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,4,6,7,1,8,3,5]=>{{1,2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7,8},{4}} [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}} [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,4,7,1,3,5,8,6]=>{{1,2,4},{3,7,8},{5},{6}}=>{{1,2,6},{3},{4},{5,7,8}} [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,4,7,1,3,8,5,6]=>{{1,2,4},{3,7},{5},{6,8}}=>{{1,3},{2,6},{4},{5,7,8}} [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,4,7,8,1,3,5,6]=>{{1,2,4,8},{3,7},{5},{6}}=>{{1,5,7,8},{2,6},{3},{4}} [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,1,3,7,8,4,6]=>{{1,2,5,7},{3},{4},{6,8}}=>{{1,3},{2,4,7,8},{5},{6}} [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,5,1,6,7,3,4,8]=>{{1,2,5,7},{3},{4,6},{8}}=>{{1},{2,4,7,8},{3,5},{6}} [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,5,1,6,7,3,8,4]=>{{1,2,5,7,8},{3},{4,6}}=>{{1,2,4,7,8},{3,5},{6}} [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,5,1,6,7,8,3,4]=>{{1,2,5,7},{3},{4,6,8}}=>{{1,3,5},{2,4,7,8},{6}} [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>{{1,2,5},{3},{4,7,8},{6}}=>{{1,2,5},{3},{4,7,8},{6}} [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,5,6,1,7,8,3,4]=>{{1,2,5,7},{3,6,8},{4}}=>{{1,3,6},{2,4,7,8},{5}} [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,8,1,3,4]=>{{1,2,5,8},{3,6},{4,7}}=>{{1,4,7,8},{2,5},{3,6}} [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,5,6,8,1,3,4,7]=>{{1,2,5},{3,6},{4,8},{7}}=>{{1,5},{2},{3,6},{4,7,8}} [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,5,7,1,8,3,4,6]=>{{1,2,5,8},{3,7},{4},{6}}=>{{1,4,7,8},{2,6},{3},{5}} [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,5,7,8,1,3,4,6]=>{{1,2,5},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,7,8}} [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,6,1,3,4,5,7,8]=>{{1,2,6},{3},{4},{5},{7},{8}}=>{{1},{2},{3,7,8},{4},{5},{6}} [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,6,1,3,7,4,8,5]=>{{1,2,6},{3},{4},{5,7,8}}=>{{1,2,4},{3,7,8},{5},{6}} [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,6,1,7,3,8,4,5]=>{{1,2,6,8},{3},{4,7},{5}}=>{{1,3,7,8},{2,5},{4},{6}} [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,6,7,1,3,4,8,5]=>{{1,2,6},{3,7,8},{4},{5}}=>{{1,2,6},{3,7,8},{4},{5}} [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,6,7,8,1,3,4,5]=>{{1,2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7,8},{4}} [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,1,3,4,5,6,8]=>{{1,2,7},{3},{4},{5},{6},{8}}=>{{1},{2,7,8},{3},{4},{5},{6}} [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,7,1,8,3,4,5,6]=>{{1,2,7},{3},{4,8},{5},{6}}=>{{1,5},{2,7,8},{3},{4},{6}} [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,7,8,1,3,4,5,6]=>{{1,2,7},{3,8},{4},{5},{6}}=>{{1,6},{2,7,8},{3},{4},{5}} [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,1,3,4,5,6,7]=>{{1,2,8},{3},{4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5},{6}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6,8},{7}} [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,5,8,6,7]=>{{1,3},{2},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6,8},{7}} [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,2,4,6,7,8,5]=>{{1,3},{2},{4},{5,6,7,8}}=>{{1,2,3,4},{5},{6,8},{7}} [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,2,4,8,5,6,7]=>{{1,3},{2},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6,8},{7}} [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,1,2,6,7,4,8,5]=>{{1,3},{2},{4,6},{5,7,8}}=>{{1,2,4},{3,5},{6,8},{7}} [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,6,8},{7}} [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,4,2,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}}=>{{1,2},{3,4},{5,6,8},{7}} [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,4,2,6,7,8,5]=>{{1,3,4},{2},{5,6,7,8}}=>{{1,2,3,4},{5,6,8},{7}} [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,4,2,6,8,5,7]=>{{1,3,4},{2},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,8},{7}} [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,4,2,7,5,8,6]=>{{1,3,4},{2},{5,7,8},{6}}=>{{1,2,4},{3},{5,6,8},{7}} [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4,2,8,5,6,7]=>{{1,3,4},{2},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,8},{7}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,2]=>{{1,3,4,5,6,7,8},{2}}=>{{1,2,3,4,5,6,8},{7}} [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,4,6,8,2,5,7]=>{{1,3,4,6},{2},{5,8},{7}}=>{{1,4},{2},{3,5,6,8},{7}} [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,5,2,6,4,8,7]=>{{1,3,5,6},{2},{4},{7,8}}=>{{1,2},{3,4,6,8},{5},{7}} [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,7,4,6,8]=>{{1,3,5,7},{2},{4},{6},{8}}=>{{1},{2,4,6,8},{3},{5},{7}} [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,8,6]=>{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}} [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,5,2,8,4,6,7]=>{{1,3,5,8},{2},{4},{6},{7}}=>{{1,4,6,8},{2},{3},{5},{7}} [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,5,6,2,8,4,7]=>{{1,3,5},{2},{4,6,8},{7}}=>{{1,3,5},{2},{4,6,8},{7}} [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,1,5,7,2,4,8,6]=>{{1,3,5},{2},{4,7,8},{6}}=>{{1,2,5},{3},{4,6,8},{7}} [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,1,5,7,2,8,4,6]=>{{1,3,5},{2},{4,7},{6,8}}=>{{1,3},{2,5},{4,6,8},{7}} [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,7,8]=>{{1,3,6},{2},{4},{5},{7},{8}}=>{{1},{2},{3,6,8},{4},{5},{7}} [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,1,6,2,4,5,8,7]=>{{1,3,6},{2},{4},{5},{7,8}}=>{{1,2},{3,6,8},{4},{5},{7}} [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,6,2,7,4,5,8]=>{{1,3,6},{2},{4},{5,7},{8}}=>{{1},{2,4},{3,6,8},{5},{7}} [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,6,2,7,4,8,5]=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}} [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,1,6,2,8,4,5,7]=>{{1,3,6},{2},{4},{5,8},{7}}=>{{1,4},{2},{3,6,8},{5},{7}} [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,6,7,2,4,5,8]=>{{1,3,6},{2},{4,7},{5},{8}}=>{{1},{2,5},{3,6,8},{4},{7}} [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,1,6,8,2,4,5,7]=>{{1,3,6},{2},{4,8},{5},{7}}=>{{1,5},{2},{3,6,8},{4},{7}} [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,1,7,8,2,4,5,6]=>{{1,3,7},{2},{4,8},{5},{6}}=>{{1,5},{2,6,8},{3},{4},{7}} [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,8,2,4,5,6,7]=>{{1,3,8},{2},{4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5},{7}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8]=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,7},{6,8}} [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,7},{6,8}} [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,2,6,7,8,5]=>{{1,3},{2,4},{5,6,7,8}}=>{{1,2,3,4},{5,7},{6,8}} [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,4,1,2,6,8,5,7]=>{{1,3},{2,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,7},{6,8}} [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,1,2,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}} [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,1,2,8,5,6,7]=>{{1,3},{2,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,7},{6,8}} [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,6,7,8,2]=>{{1,3},{2,4,5,6,7,8}}=>{{1,2,3,4,5,7},{6,8}} [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,4,1,5,8,2,6,7]=>{{1,3},{2,4,5,8},{6},{7}}=>{{1,4,5,7},{2},{3},{6,8}} [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,1,8,2]=>{{1,3,5,7,8},{2,4,6}}=>{{1,2,4,6,8},{3,5,7}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,1,2]=>{{1,3,5,7},{2,4,6,8}}=>{{1,3,5,7},{2,4,6,8}} [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>{{1,3,5},{2,4,8},{6},{7}}=>{{1,5,7},{2},{3},{4,6,8}} [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,4,6,1,2,7,5,8]=>{{1,3,6,7},{2,4},{5},{8}}=>{{1},{2,3,6,8},{4},{5,7}} [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,4,6,1,2,7,8,5]=>{{1,3,6,7,8},{2,4},{5}}=>{{1,2,3,6,8},{4},{5,7}} [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,4,6,1,7,2,8,5]=>{{1,3,6},{2,4},{5,7,8}}=>{{1,2,4},{3,6,8},{5,7}} [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,4,6,1,7,8,2,5]=>{{1,3,6,8},{2,4},{5,7}}=>{{1,3,6,8},{2,4},{5,7}} [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,4,6,7,1,2,5,8]=>{{1,3,6},{2,4,7},{5},{8}}=>{{1},{2,5,7},{3,6,8},{4}} [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,4,6,7,1,2,8,5]=>{{1,3,6},{2,4,7,8},{5}}=>{{1,2,5,7},{3,6,8},{4}} [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,4,6,7,1,8,2,5]=>{{1,3,6,8},{2,4,7},{5}}=>{{1,3,6,8},{2,5,7},{4}} [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,6,8,1,2,5,7]=>{{1,3,6},{2,4,8},{5},{7}}=>{{1,5,7},{2},{3,6,8},{4}} [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,4,7,1,8,2,5,6]=>{{1,3,7},{2,4},{5,8},{6}}=>{{1,4},{2,6,8},{3},{5,7}} [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,4,7,8,1,2,5,6]=>{{1,3,7},{2,4,8},{5},{6}}=>{{1,5,7},{2,6,8},{3},{4}} [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,5,1,2,6,8,4,7]=>{{1,3},{2,5,6,8},{4},{7}}=>{{1,3,4,7},{2},{5},{6,8}} [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,1,6,2,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,7},{6,8}} [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}} [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,5,1,7,8,2,4,6]=>{{1,3},{2,5,8},{4,7},{6}}=>{{1,4,7},{2,5},{3},{6,8}} [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,1,2,4,8,7]=>{{1,3,6},{2,5},{4},{7,8}}=>{{1,2},{3,6,8},{4,7},{5}} [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,5,6,1,7,2,4,8]=>{{1,3,6},{2,5,7},{4},{8}}=>{{1},{2,4,7},{3,6,8},{5}} [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,5,6,1,7,2,8,4]=>{{1,3,6},{2,5,7,8},{4}}=>{{1,2,4,7},{3,6,8},{5}} [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,5,6,1,7,8,2,4]=>{{1,3,6,8},{2,5,7},{4}}=>{{1,3,6,8},{2,4,7},{5}} [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,5,6,1,8,2,4,7]=>{{1,3,6},{2,5,8},{4},{7}}=>{{1,4,7},{2},{3,6,8},{5}} [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,1,2,4]=>{{1,3,6},{2,5,8},{4,7}}=>{{1,4,7},{2,5},{3,6,8}} [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,5,6,8,1,2,4,7]=>{{1,3,6},{2,5},{4,8},{7}}=>{{1,5},{2},{3,6,8},{4,7}} [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>{{1,3,7},{2,5},{4,8},{6}}=>{{1,5},{2,6,8},{3},{4,7}} [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,6,1,2,4,7,5,8]=>{{1,3},{2,6,7},{4},{5},{8}}=>{{1},{2,3,7},{4},{5},{6,8}} [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,6,1,7,2,4,8,5]=>{{1,3},{2,6},{4,7,8},{5}}=>{{1,2,5},{3,7},{4},{6,8}} [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,6,1,7,2,8,4,5]=>{{1,3},{2,6,8},{4,7},{5}}=>{{1,3,7},{2,5},{4},{6,8}} [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,6,1,7,8,2,4,5]=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}} [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>{{1,3,7},{2,6,8},{4},{5}}=>{{1,3,7},{2,6,8},{4},{5}} [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,6,7,8,1,2,4,5]=>{{1,3,7},{2,6},{4,8},{5}}=>{{1,5},{2,6,8},{3,7},{4}} [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,7,1,2,4,5,6,8]=>{{1,3},{2,7},{4},{5},{6},{8}}=>{{1},{2,7},{3},{4},{5},{6,8}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7,8]=>{{1,4},{2},{3},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,3,5,7,8,6]=>{{1,4},{2},{3},{5},{6,7,8}}=>{{1,2,3},{4},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,2,3,5,8,6,7]=>{{1,4},{2},{3},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,2,3,6,5,7,8]=>{{1,4},{2},{3},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,3,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,2,3,6,7,5,8]=>{{1,4},{2},{3},{5,6,7},{8}}=>{{1},{2,3,4},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,3,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}}=>{{1,2,3,4},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,1,2,3,6,8,5,7]=>{{1,4},{2},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,2,3,7,5,6,8]=>{{1,4},{2},{3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,1,2,3,7,5,8,6]=>{{1,4},{2},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,1,2,3,7,8,5,6]=>{{1,4},{2},{3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,2,3,8,5,6,7]=>{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}} [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,2,5,6,3,8,7]=>{{1,4,5,6},{2},{3},{7,8}}=>{{1,2},{3,4,5,8},{6},{7}} [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,2,5,6,7,8,3]=>{{1,4,5,6,7,8},{2},{3}}=>{{1,2,3,4,5,8},{6},{7}} [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6,8]=>{{1,4,5,7},{2},{3},{6},{8}}=>{{1},{2,4,5,8},{3},{6},{7}} [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,1,2,6,3,8,5,7]=>{{1,4,6,8},{2},{3},{5},{7}}=>{{1,3,5,8},{2},{4},{6},{7}} [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,1,2,6,7,3,8,5]=>{{1,4,6},{2},{3},{5,7,8}}=>{{1,2,4},{3,5,8},{6},{7}} [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,1,2,7,8,3,5,6]=>{{1,4,7},{2},{3},{5,8},{6}}=>{{1,4},{2,5,8},{3},{6},{7}} [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,5,2,6,3,8,7]=>{{1,4},{2},{3,5,6},{7,8}}=>{{1,2},{3,4,6},{5,8},{7}} [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,5,2,6,8,3,7]=>{{1,4},{2},{3,5,6,8},{7}}=>{{1,3,4,6},{2},{5,8},{7}} [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,5,2,7,3,8,6]=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}} [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,5,2,7,8,3,6]=>{{1,4},{2},{3,5,7},{6,8}}=>{{1,3},{2,4,6},{5,8},{7}} [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,5,6,7,8,2,3]=>{{1,4,6,8},{2},{3,5,7}}=>{{1,3,5,8},{2,4,6},{7}} [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,5,6,8,2,3,7]=>{{1,4,6},{2},{3,5,8},{7}}=>{{1,4,6},{2},{3,5,8},{7}} [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,5,7,2,8,3,6]=>{{1,4,7},{2},{3,5},{6,8}}=>{{1,3},{2,5,8},{4,6},{7}} [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,1,6,2,3,7,8,5]=>{{1,4},{2},{3,6,7,8},{5}}=>{{1,2,3,6},{4},{5,8},{7}} [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,1,6,2,7,3,8,5]=>{{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,8},{7}} [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,8,3,5,7]=>{{1,4},{2},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}} [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,1,7,2,8,3,5,6]=>{{1,4},{2},{3,7},{5,8},{6}}=>{{1,4},{2,6},{3},{5,8},{7}} [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,1,7,8,2,3,5,6]=>{{1,4,8},{2},{3,7},{5},{6}}=>{{1,5,8},{2,6},{3},{4},{7}} [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,6,3,8,7]=>{{1,4},{2,5,6},{3},{7,8}}=>{{1,2},{3,4,7},{5,8},{6}} [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,5,1,2,7,3,6,8]=>{{1,4},{2,5,7},{3},{6},{8}}=>{{1},{2,4,7},{3},{5,8},{6}} [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,1,2,8,3,6,7]=>{{1,4},{2,5,8},{3},{6},{7}}=>{{1,4,7},{2},{3},{5,8},{6}} [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,5,1,6,2,7,3,8]=>{{1,4,6,7},{2,5},{3},{8}}=>{{1},{2,3,5,8},{4,7},{6}} [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,5,1,6,2,8,3,7]=>{{1,4,6,8},{2,5},{3},{7}}=>{{1,3,5,8},{2},{4,7},{6}} [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,5,1,7,2,3,8,6]=>{{1,4,7,8},{2,5},{3},{6}}=>{{1,2,5,8},{3},{4,7},{6}} [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,1,7,2,8,3,6]=>{{1,4,7},{2,5},{3},{6,8}}=>{{1,3},{2,5,8},{4,7},{6}} [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,1,7,8,2,3,6]=>{{1,4,7},{2,5,8},{3},{6}}=>{{1,4,7},{2,5,8},{3},{6}} [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,6,1,2,3,7,8]=>{{1,4},{2,5},{3,6},{7},{8}}=>{{1},{2},{3,6},{4,7},{5,8}} [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,1,2,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,7},{5,8}} [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,6,1,2,8,3,7]=>{{1,4},{2,5},{3,6,8},{7}}=>{{1,3,6},{2},{4,7},{5,8}} [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,6,1,7,2,3,8]=>{{1,4},{2,5,7},{3,6},{8}}=>{{1},{2,4,7},{3,6},{5,8}} [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,1,2,3,8]=>{{1,4,7},{2,5},{3,6},{8}}=>{{1},{2,5,8},{3,6},{4,7}} [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,7,1,2,8,3]=>{{1,4,7,8},{2,5},{3,6}}=>{{1,2,5,8},{3,6},{4,7}} [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,7,1,8,2,3]=>{{1,4,7},{2,5},{3,6,8}}=>{{1,3,6},{2,5,8},{4,7}} [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>{{1,4,7},{2,5,8},{3,6}}=>{{1,4,7},{2,5,8},{3,6}} [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>{{1,4,8},{2,5},{3,6},{7}}=>{{1,5,8},{2},{3,6},{4,7}} [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}} [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,1,2,3,6]=>{{1,4,8},{2,5},{3,7},{6}}=>{{1,5,8},{2,6},{3},{4,7}} [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,6,1,2,3,5,7,8]=>{{1,4},{2,6},{3},{5},{7},{8}}=>{{1},{2},{3,7},{4},{5,8},{6}} [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,6,1,2,3,7,5,8]=>{{1,4},{2,6,7},{3},{5},{8}}=>{{1},{2,3,7},{4},{5,8},{6}} [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,6,1,2,7,8,3,5]=>{{1,4},{2,6,8},{3},{5,7}}=>{{1,3,7},{2,4},{5,8},{6}} [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,6,1,7,2,3,5,8]=>{{1,4,7},{2,6},{3},{5},{8}}=>{{1},{2,5,8},{3,7},{4},{6}} [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,6,1,8,2,3,5,7]=>{{1,4,8},{2,6},{3},{5},{7}}=>{{1,5,8},{2},{3,7},{4},{6}} [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,1,8,2,3,5]=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}} [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>{{1,4,8},{2,6},{3,7},{5}}=>{{1,5,8},{2,6},{3,7},{4}} [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,7,1,2,8,3,5,6]=>{{1,4},{2,7},{3},{5,8},{6}}=>{{1,4},{2,7},{3},{5,8},{6}} [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,7,1,8,2,3,5,6]=>{{1,4,8},{2,7},{3},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}} [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,1,2,3,5,6,7]=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,8},{6}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5},{6},{7}} [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2,3,4,6,8,7]=>{{1,5},{2},{3},{4},{6},{7,8}}=>{{1,2},{3},{4,8},{5},{6},{7}} [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,2,3,6,7,8,4]=>{{1,5,6,7,8},{2},{3},{4}}=>{{1,2,3,4,8},{5},{6},{7}} [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,1,2,3,8,4,6,7]=>{{1,5,8},{2},{3},{4},{6},{7}}=>{{1,4,8},{2},{3},{5},{6},{7}} [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6},{7}} [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,7,8]=>{{1,5},{2},{3,6},{4},{7},{8}}=>{{1},{2},{3,6},{4,8},{5},{7}} [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,6,2,3,8,4,7]=>{{1,5},{2},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,8},{5},{7}} [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,6,2,7,3,8,4]=>{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}} [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,1,7,2,8,3,4,6]=>{{1,5,8},{2},{3,7},{4},{6}}=>{{1,4,8},{2,6},{3},{5},{7}} [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,6,1,2,3,7,8,4]=>{{1,5},{2,6,7,8},{3},{4}}=>{{1,2,3,7},{4,8},{5},{6}} [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,8,4,7]=>{{1,5},{2,6,8},{3},{4},{7}}=>{{1,3,7},{2},{4,8},{5},{6}} [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,6,1,2,7,8,3,4]=>{{1,5,7},{2,6,8},{3},{4}}=>{{1,3,7},{2,4,8},{5},{6}} [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,6,1,2,8,3,4,7]=>{{1,5,8},{2,6},{3},{4},{7}}=>{{1,4,8},{2},{3,7},{5},{6}} [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,1,2,3,4,8]=>{{1,5},{2,6},{3,7},{4},{8}}=>{{1},{2,6},{3,7},{4,8},{5}} [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}} [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,1,2,3,4,7]=>{{1,5},{2,6},{3,8},{4},{7}}=>{{1,6},{2},{3,7},{4,8},{5}} [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,1,2,3,4,6,8]=>{{1,5},{2,7},{3},{4},{6},{8}}=>{{1},{2,7},{3},{4,8},{5},{6}} [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,7,1,2,8,3,4,6]=>{{1,5,8},{2,7},{3},{4},{6}}=>{{1,4,8},{2,7},{3},{5},{6}} [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,7,8,1,2,3,4,6]=>{{1,5},{2,7},{3,8},{4},{6}}=>{{1,6},{2,7},{3},{4,8},{5}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,2,3,4,5,7,8]=>{{1,6},{2},{3},{4},{5},{7},{8}}=>{{1},{2},{3,8},{4},{5},{6},{7}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,1,2,3,4,5,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6},{7}} [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,2,3,4,7,8,5]=>{{1,6,7,8},{2},{3},{4},{5}}=>{{1,2,3,8},{4},{5},{6},{7}} [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,2,7,3,4,5,8]=>{{1,6},{2},{3},{4,7},{5},{8}}=>{{1},{2,5},{3,8},{4},{6},{7}} [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,1,2,8,3,4,5,7]=>{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,5},{2},{3,8},{4},{6},{7}} [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,7,8,2,3,4,5]=>{{1,6},{2},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,8},{4},{7}} [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,6},{2},{3,8},{4},{5},{7}} [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,7,1,2,3,4,8,5]=>{{1,6},{2,7,8},{3},{4},{5}}=>{{1,2,7},{3,8},{4},{5},{6}} [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,7,1,8,2,3,4,5]=>{{1,6},{2,7},{3},{4,8},{5}}=>{{1,5},{2,7},{3,8},{4},{6}} [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,1,2,3,4,5]=>{{1,6},{2,7},{3,8},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8]=>{{1,7},{2},{3},{4},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5},{6},{7}} [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,8,6]=>{{1,7,8},{2},{3},{4},{5},{6}}=>{{1,2,8},{3},{4},{5},{6},{7}} [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,8,5,6]=>{{1,7},{2},{3},{4},{5},{6,8}}=>{{1,3},{2,8},{4},{5},{6},{7}} [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1,2,8,3,4,5,6]=>{{1,7},{2},{3},{4,8},{5},{6}}=>{{1,5},{2,8},{3},{4},{6},{7}} [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1,8,2,3,4,5,6]=>{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,6},{2,8},{3},{4},{5},{7}} [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6]=>{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,7},{2,8},{3},{4},{5},{6}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7]=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9]=>{{1,8},{2},{3},{4},{5},{6},{7},{9}}=>{{1},{2,9},{3},{4},{5},{6},{7},{8}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,2,3,4,5,6,7,8]=>{{1},{2,9},{3},{4},{5},{6},{7},{8}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8,10]=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}} [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,8,9,2,3,4,5,6,7]=>{{1},{2,8},{3,9},{4},{5},{6},{7}}=>{{1,7},{2,8},{3},{4},{5},{6},{9}} [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}} [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,8,1,2,3,4,9]=>{{1,5},{2,6},{3,7},{4,8},{9}}=>{{1},{2,6},{3,7},{4,8},{5,9}} [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,1,3,4,5,6,7,9]=>{{1,2,8},{3},{4},{5},{6},{7},{9}}=>{{1},{2,8,9},{3},{4},{5},{6},{7}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,1,2,3,4,5,6,9,8]=>{{1,7},{2},{3},{4},{5},{6},{8,9}}=>{{1,2},{3,9},{4},{5},{6},{7},{8}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,9,7]=>{{1},{2,8,9},{3},{4},{5},{6},{7}}=>{{1,2,8},{3},{4},{5},{6},{7},{9}} [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,3,4,5,6,7,8]=>{{1,2},{3,9},{4},{5},{6},{7},{8}}=>{{1,7},{2},{3},{4},{5},{6},{8,9}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,2,3,4,5,6,8,9]=>{{1,7},{2},{3},{4},{5},{6},{8},{9}}=>{{1},{2},{3,9},{4},{5},{6},{7},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>{{1,2,3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,1,8]=>{{1,2,3,4,5,6,7,9},{8}}=>{{1,3,4,5,6,7,8,9},{2}} [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,8,9,1,7]=>{{1,2,3,4,5,6,8},{7,9}}=>{{1,3},{2,4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,7,8,9,1,6]=>{{1,2,3,4,5,7,9},{6,8}}=>{{1,3,5,6,7,8,9},{2,4}} [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,9,1,5]=>{{1,2,3,4,6,8},{5,7,9}}=>{{1,3,5},{2,4,6,7,8,9}} [1,1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,1,6,3,8,9,5,7]=>{{1,2,4,6,8},{3},{5},{7,9}}=>{{1,3},{2,4,6,8,9},{5},{7}} [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,9,1,3]=>{{1,2,4,6,8},{3,5,7,9}}=>{{1,3,5,7},{2,4,6,8,9}} [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,1,3,4,5,6,7,8]=>{{1,2,9},{3},{4},{5},{6},{7},{8}}=>{{1,8,9},{2},{3},{4},{5},{6},{7}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,2]=>{{1,3,4,5,6,7,8,9},{2}}=>{{1,2,3,4,5,6,7,9},{8}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>{{1,3,5,7,9},{2,4,6,8}}=>{{1,3,5,7,9},{2,4,6,8}} [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[6,1,2,3,4,7,8,9,5]=>{{1,6,7,8,9},{2},{3},{4},{5}}=>{{1,2,3,4,9},{5},{6},{7},{8}} [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>{{1,6},{2,7},{3,8},{4,9},{5}}=>{{1,6},{2,7},{3,8},{4,9},{5}} [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,1,2,3,4,5,8,9,6]=>{{1,7,8,9},{2},{3},{4},{5},{6}}=>{{1,2,3,9},{4},{5},{6},{7},{8}} [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>{{1,7},{2,8},{3,9},{4},{5},{6}}=>{{1,7},{2,8},{3,9},{4},{5},{6}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,9,7]=>{{1,8,9},{2},{3},{4},{5},{6},{7}}=>{{1,2,9},{3},{4},{5},{6},{7},{8}} [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,1,2,3,4,5,6,7]=>{{1,8},{2,9},{3},{4},{5},{6},{7}}=>{{1,8},{2,9},{3},{4},{5},{6},{7}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,1,2,3,4,5,6,7,8]=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,9}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>{{1},{2},{3},{4},{5},{6},{7,8,9}}=>{{1,2,3},{4},{5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]=>{{1},{2},{3},{4},{5},{6,7,8,9}}=>{{1,2,3,4},{5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]=>{{1},{2},{3},{4},{5,6,7,8,9}}=>{{1,2,3,4,5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]=>{{1},{2},{3},{4,5,6,7,8,9}}=>{{1,2,3,4,5,6},{7},{8},{9}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]=>{{1},{2},{3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7},{8},{9}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>{{1},{2,3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7,8},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,7,8]=>{{1},{2},{3},{4},{5},{6},{7,9},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,9,10}}=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}} [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,8,6,9,7]=>{{1},{2},{3},{4},{5},{6,8,9},{7}}=>{{1,2,4},{3},{5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>{{1},{2},{3},{4},{5},{6},{7,8,9,10}}=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}} [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,4,7,5,8,9,6]=>{{1},{2},{3},{4},{5,7,8,9},{6}}=>{{1,2,3,5},{4},{6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>{{1},{2},{3},{4},{5},{6,7,8,9,10}}=>{{1,2,3,4,5},{6},{7},{8},{9},{10}} [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,4,7,8,9,5]=>{{1},{2},{3},{4,6,7,8,9},{5}}=>{{1,2,3,4,6},{5},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>{{1},{2},{3},{4},{5,6,7,8,9,10}}=>{{1,2,3,4,5,6},{7},{8},{9},{10}} [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,3,6,7,8,9,4]=>{{1},{2},{3,5,6,7,8,9},{4}}=>{{1,2,3,4,5,7},{6},{8},{9}} [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>{{1},{2},{3},{4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7},{8},{9},{10}} [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,8,9,3]=>{{1},{2,4,5,6,7,8,9},{3}}=>{{1,2,3,4,5,6,8},{7},{9}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>{{1},{2},{3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8},{9},{10}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>{{1},{2,3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8,9},{10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>{{1,2,3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8,9,10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,10,2]=>{{1,3,4,5,6,7,8,9,10},{2}}=>{{1,2,3,4,5,6,7,8,10},{9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>{{1,2,3,4,5,6,7,8,9,10,11}}=>{{1,2,3,4,5,6,7,8,9,10,11}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,10,11,2]=>{{1,3,4,5,6,7,8,9,10,11},{2}}=>{{1,2,3,4,5,6,7,8,9,11},{10}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,10,11,12,2]=>{{1,3,4,5,6,7,8,9,10,11,12},{2}}=>{{1,2,3,4,5,6,7,8,9,10,12},{11}} [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,9,2,3]=>{{1},{2,4,6,8},{3,5,7,9}}=>{{1,3,5,7},{2,4,6,8},{9}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>{{1},{2,3},{4,5},{6,7},{8,9}}=>{{1,2},{3,4},{5,6},{7,8},{9}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>{{1,2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8,9}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>{{1,2},{3,4},{5,6},{7,8},{9}}=>{{1},{2,3},{4,5},{6,7},{8,9}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]=>{{1},{2,3},{4,5},{6,7},{8,9},{10}}=>{{1},{2,3},{4,5},{6,7},{8,9},{10}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,10}}=>{{1,2},{3,4},{5,6},{7,8},{9,10}} [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,1,2,3,4,5,6,7,8,9]=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>{{1,2,3,4,5,6,7},{8},{9}}=>{{1},{2},{3,4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>{{1,2,3,4,5,6,7,8},{9}}=>{{1},{2,3,4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>{{1,2,3,4,5,6,7,8,9},{10}}=>{{1},{2,3,4,5,6,7,8,9,10}} [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,7,8,10,1,2,3,4,9]=>{{1,5,10},{2,6},{3,7},{4,8},{9}}=>{{1,6,10},{2},{3,7},{4,8},{5,9}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,10,1,9]=>{{1,2,3,4,5,6,7,8,10},{9}}=>{{1,3,4,5,6,7,8,9,10},{2}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8,9]=>{{1,3},{2,4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6,8},{7,9}} [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,1,3,4,5,6,7,8,9]=>{{1,2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1,2,3,4,5,6,7,10,8]=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>{{1,2,10},{3},{4},{5},{6},{7},{8},{9}} [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1,2,3,4,5,6,7,8,11,9]=>{{1,10,11},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2,11},{3},{4},{5},{6},{7},{8},{9},{10}} [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>{{1,9},{2,10},{3},{4},{5},{6},{7},{8}}=>{{1,9},{2,10},{3},{4},{5},{6},{7},{8}} [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,9,10,1,3]=>{{1,2,4,6,8,10},{3,5,7,9}}=>{{1,3,5,7,9,10},{2,4,6,8}} [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,6,1,9,7,8]=>{{1,2,3,4,5,6},{7,9},{8}}=>{{1,3},{2},{4,5,6,7,8,9}} [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,5,7,8,9,10,1,6]=>{{1,2,3,4,5,7,9},{6,8,10}}=>{{1,3,5},{2,4,6,7,8,9,10}} [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,1,6,3,8,5,7,9]=>{{1,2,4,6,8},{3},{5},{7},{9}}=>{{1},{2,4,6,8,9},{3},{5},{7}} [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>{{1,2,3},{4,5},{6,7},{8,9}}=>{{1,2},{3,4},{5,6},{7,8,9}} [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,8,5,10,7,9]=>{{1,2,4,6,8,10},{3},{5},{7},{9}}=>{{1,3,5,7,9,10},{2},{4},{6},{8}} [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,3,1,6,4,7,5,9,8]=>{{1,2,3},{4,6,7},{5},{8,9}}=>{{1,2},{3,4,6},{5},{7,8,9}} [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,4,2,5,3,7,6,9,8]=>{{1},{2,4,5},{3},{6,7},{8,9}}=>{{1,2},{3,4},{5,6,8},{7},{9}} [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,9,8,10]=>{{1,2,3},{4,5},{6,7},{8,9},{10}}=>{{1},{2,3},{4,5},{6,7},{8,9,10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,9,10,1,8]=>{{1,2,3,4,5,6,7,9},{8,10}}=>{{1,3},{2,4,5,6,7,8,9,10}} [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,6,8,9,10,1,7]=>{{1,2,3,4,5,6,8,10},{7,9}}=>{{1,3,5,6,7,8,9,10},{2,4}} [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,9,10,1,4]=>{{1,2,3,5,7,9},{4,6,8,10}}=>{{1,3,5,7},{2,4,6,8,9,10}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>{{1,3,5,7,9},{2,4,6,8,10}}=>{{1,3,5,7,9},{2,4,6,8,10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,9,11,1,10]=>{{1,2,3,4,5,6,7,8,9,11},{10}}=>{{1,3,4,5,6,7,8,9,10,11},{2}} [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>{{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}} [1,1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[2,7,8,9,10,1,3,4,5,6]=>{{1,2,7},{3,8},{4,9},{5,10},{6}}=>{{1,6},{2,7},{3,8},{4,9,10},{5}} [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>{{1,8},{2,9},{3,10},{4},{5},{6},{7}}=>{{1,8},{2,9},{3,10},{4},{5},{6},{7}} [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>{{1,6},{2,7},{3,8},{4,9},{5,10}}=>{{1,6},{2,7},{3,8},{4,9},{5,10}} [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>{{1,7},{2,8},{3,9},{4,10},{5},{6}}=>{{1,7},{2,8},{3,9},{4,10},{5},{6}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8,9,10]=>{{1,3},{2,4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7,9},{8,10}} [1,1,1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[4,7,8,9,10,1,2,3,5,6]=>{{1,4,9},{2,7},{3,8},{5,10},{6}}=>{{1,6},{2,7,10},{3,8},{4,9},{5}} [1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,6,7,9,10,1,2,3,4,8]=>{{1,5,10},{2,6},{3,7},{4,9},{8}}=>{{1,6,10},{2,7},{3},{4,8},{5,9}} [1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[5,6,8,9,10,1,2,3,4,7]=>{{1,5,10},{2,6},{3,8},{4,9},{7}}=>{{1,6,10},{2,7},{3,8},{4},{5,9}} [1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[5,7,8,9,10,1,2,3,4,6]=>{{1,5,10},{2,7},{3,8},{4,9},{6}}=>{{1,6,10},{2,7},{3,8},{4,9},{5}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[8,1,2,3,4,5,6,9,10,7]=>{{1,8,9,10},{2},{3},{4},{5},{6},{7}}=>{{1,2,3,10},{4},{5},{6},{7},{8},{9}} [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,5,7,9,10,1,2,4,6,8]=>{{1,3,7},{2,5,10},{4,9},{6},{8}}=>{{1,6,9},{2,7},{3},{4,8,10},{5}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}} [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,5,6,1,2,3,7,8,9,10]=>{{1,4},{2,5},{3,6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5,8},{6,9},{7,10}} [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,4,6,9,10,1,3,5,7,8]=>{{1,2,4,9},{3,6},{5,10},{7},{8}}=>{{1,6},{2,7,9,10},{3},{4},{5,8}} [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,6,8,10,1,3,5,7,9]=>{{1,2,4,8},{3,6},{5,10},{7},{9}}=>{{1,6},{2},{3,7,9,10},{4},{5,8}} [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>{{1,2,4,8},{3,6,12},{5,10},{7},{9},{11}}=>{{1,7,10},{2},{3,8},{4},{5,9,11,12},{6}} [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,6,1,2,3,7,8,9]=>{{1,4},{2,5},{3,6},{7},{8},{9}}=>{{1},{2},{3},{4,7},{5,8},{6,9}} [1,1,1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,5,6,9,10,1,2,3,7,8]=>{{1,4,9},{2,5,10},{3,6},{7},{8}}=>{{1,6,9},{2,7,10},{3},{4},{5,8}} [1,1,1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[4,5,8,9,10,1,2,3,6,7]=>{{1,4,9},{2,5,10},{3,8},{6},{7}}=>{{1,6,9},{2,7,10},{3,8},{4},{5}} [1,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[4,6,7,8,10,1,2,3,5,9]=>{{1,4,8},{2,6},{3,7},{5,10},{9}}=>{{1,6},{2},{3,7,10},{4,8},{5,9}} [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>{{1,6,12},{2,7},{3,8},{4,9},{5,10},{11}}=>{{1,7,12},{2},{3,8},{4,9},{5,10},{6,11}}