Identifier
Mp00024: to 321-avoiding permutationPermutations
Mp00086: Permutations first fundamental transformationPermutations
Mp00151: Permutations to cycle type
Images
=>
Cc0005;cc-rep-0Cc0009;cc-rep-3
[1,0]=>[1]=>[1]=>{{1}} [1,0,1,0]=>[2,1]=>[2,1]=>{{1,2}} [1,1,0,0]=>[1,2]=>[1,2]=>{{1},{2}} [1,0,1,0,1,0]=>[2,1,3]=>[2,1,3]=>{{1,2},{3}} [1,0,1,1,0,0]=>[2,3,1]=>[3,2,1]=>{{1,3},{2}} [1,1,0,0,1,0]=>[3,1,2]=>[2,3,1]=>{{1,2,3}} [1,1,0,1,0,0]=>[1,3,2]=>[1,3,2]=>{{1},{2,3}} [1,1,1,0,0,0]=>[1,2,3]=>[1,2,3]=>{{1},{2},{3}} [1,0,1,0,1,0,1,0]=>[2,1,4,3]=>[2,1,4,3]=>{{1,2},{3,4}} [1,0,1,0,1,1,0,0]=>[2,4,1,3]=>[3,2,4,1]=>{{1,3,4},{2}} [1,0,1,1,0,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>{{1,2},{3},{4}} [1,0,1,1,0,1,0,0]=>[2,3,1,4]=>[3,2,1,4]=>{{1,3},{2},{4}} [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,2,3,1]=>{{1,4},{2},{3}} [1,1,0,0,1,0,1,0]=>[3,1,4,2]=>[3,4,1,2]=>{{1,3},{2,4}} [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[2,4,3,1]=>{{1,2,4},{3}} [1,1,0,1,0,0,1,0]=>[3,1,2,4]=>[2,3,1,4]=>{{1,2,3},{4}} [1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4]=>{{1},{2,3},{4}} [1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,3,2]=>{{1},{2,4},{3}} [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[2,3,4,1]=>{{1,2,3,4}} [1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,3,4,2]=>{{1},{2,3,4}} [1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3]=>{{1},{2},{3,4}} [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4]=>{{1},{2},{3},{4}} [1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}} [1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,5]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}} [1,0,1,0,1,1,0,0,1,0]=>[2,1,4,5,3]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}} [1,0,1,0,1,1,0,1,0,0]=>[2,4,1,5,3]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}} [1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>[3,2,5,4,1]=>{{1,3,5},{2},{4}} [1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,4]=>[2,1,4,5,3]=>{{1,2},{3,4,5}} [1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,4]=>[3,2,4,5,1]=>{{1,3,4,5},{2}} [1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,4]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}} [1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}} [1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[4,2,3,5,1]=>{{1,4,5},{2},{3}} [1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}} [1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}} [1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}} [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}} [1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}} [1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,5]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}} [1,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2]=>[3,5,1,4,2]=>{{1,3},{2,5},{4}} [1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[4,5,3,1,2]=>{{1,4},{2,5},{3}} [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[2,5,3,4,1]=>{{1,2,5},{3},{4}} [1,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4]=>[3,4,1,5,2]=>{{1,3},{2,4,5}} [1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[2,4,3,5,1]=>{{1,2,4,5},{3}} [1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[2,3,1,5,4]=>{{1,2,3},{4,5}} [1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}} [1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,4,3,5,2]=>{{1},{2,4,5},{3}} [1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}} [1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}} [1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}} [1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}} [1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>[4,3,5,1,2]=>{{1,4},{2,3,5}} [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[2,3,5,4,1]=>{{1,2,3,5},{4}} [1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[2,4,5,1,3]=>{{1,2,4},{3,5}} [1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,4,5,2,3]=>{{1},{2,4},{3,5}} [1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,3,5,4,2]=>{{1},{2,3,5},{4}} [1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[2,3,4,1,5]=>{{1,2,3,4},{5}} [1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}} [1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}} [1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}} [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1]=>{{1,2,3,4,5}} [1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,3,4,5,2]=>{{1},{2,3,4,5}} [1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}} [1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}} [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}} [1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}} [1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}} [1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}} [1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5]=>[4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}} [1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}} [1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}} [1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}} [1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}} [1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,5,3,6]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}} [1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}} [1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}} [1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,5,6,3]=>[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}} [1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,5,1,6,3]=>[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}} [1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}} [1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,6,4]=>[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}} [1,0,1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4]=>[3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}} [1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}} [1,0,1,1,0,0,1,1,0,1,0,0]=>[2,5,1,6,3,4]=>[5,2,4,6,1,3]=>{{1,5},{2},{3,4,6}} [1,0,1,1,0,0,1,1,1,0,0,0]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}} [1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,4,6]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}} [1,0,1,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}} [1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}} [1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}} [1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}} [1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}} [1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}} [1,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,5,1,6,4]=>[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}} [1,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}} [1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}} [1,0,1,1,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}} [1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}} [1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,5]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}} [1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}} [1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}} [1,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}} [1,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}} [1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}} [1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}} [1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}} [1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}} [1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}} [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}} [1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5]=>[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}} [1,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}} [1,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5]=>[3,5,1,4,6,2]=>{{1,3},{2,5,6},{4}} [1,1,0,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5]=>[4,5,3,1,6,2]=>{{1,4},{2,5,6},{3}} [1,1,0,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}} [1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}} [1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}} [1,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}} [1,1,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,5,2,6]=>[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}} [1,1,0,0,1,1,0,1,1,0,0,0]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}} [1,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,5,6,2]=>[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}} [1,1,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,5,6,2]=>[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}} [1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,5,1,6,2]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}} [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}} [1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,6,4]=>[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}} [1,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,6,4]=>[2,5,3,6,1,4]=>{{1,2,5},{3},{4,6}} [1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,6,2,4]=>[3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}} [1,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,6,2,4]=>[5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}} [1,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}} [1,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,6]=>[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}} [1,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}} [1,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,6]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}} [1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}} [1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,6]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}} [1,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,6,4]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}} [1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}} [1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}} [1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}} [1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5]=>[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}} [1,1,0,1,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}} [1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}} [1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}} [1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5]=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}} [1,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}} [1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}} [1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}} [1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5]=>[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}} [1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}} [1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}} [1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}} [1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}} [1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}} [1,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}} [1,1,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,6,3]=>[2,5,6,4,1,3]=>{{1,2,5},{3,6},{4}} [1,1,1,0,0,0,1,1,0,0,1,0]=>[4,1,5,6,2,3]=>[4,3,6,1,5,2]=>{{1,4},{2,3,6},{5}} [1,1,1,0,0,0,1,1,0,1,0,0]=>[4,5,1,6,2,3]=>[5,3,6,4,1,2]=>{{1,5},{2,3,6},{4}} [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}} [1,1,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,6]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}} [1,1,1,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}} [1,1,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}} [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}} [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,6]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}} [1,1,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,5,6,3]=>[2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}} [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}} [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}} [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,6,2,3]=>[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}} [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5]=>[4,3,5,1,6,2]=>{{1,4},{2,3,5,6}} [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}} [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5]=>[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}} [1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5]=>[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}} [1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}} [1,1,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}} [1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}} [1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}} [1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}} [1,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}} [1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}} [1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}} [1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}} [1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}} [1,1,1,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4]=>[5,3,4,6,1,2]=>{{1,5},{2,3,4,6}} [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}} [1,1,1,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,4]=>[2,5,4,6,1,3]=>{{1,2,5},{3,4,6}} [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,6,3,4]=>[1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}} [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}} [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,6,4]=>[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}} [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,6,4]=>[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}} [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}} [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}} [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}} [1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}} [1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}} [1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}} [1,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}} [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}} [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}} [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}} [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}} [1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}} [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,7]=>[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}} [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,7]=>[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}} [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,7]=>[4,2,5,1,6,3,7]=>{{1,4},{2},{3,5,6},{7}} [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,7]=>[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}} [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}} [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,7,5]=>[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}} [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,7,5]=>[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}} [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5]=>[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}} [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,6,1,3,7,5]=>[3,2,6,4,7,1,5]=>{{1,3,6},{2},{4},{5,7}} [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,6,7,3,5]=>[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}} [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,7,3,5]=>[4,2,5,1,7,6,3]=>{{1,4},{2},{3,5,7},{6}} [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,6,1,7,3,5]=>[6,2,5,4,7,1,3]=>{{1,6},{2},{3,5,7},{4}} [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,7,1,3,5]=>[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}} [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,6]=>[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}} [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,4,1,3,7,5,6]=>[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}} [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,7,3,5,6]=>[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}} [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,4,1,7,3,5,6]=>[4,2,5,1,6,7,3]=>{{1,4},{2},{3,5,6,7}} [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,4,7,1,3,5,6]=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}} [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}} [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,4,1,3,5,7,6]=>[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}} [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}} [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}} [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,7,6]=>[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}} [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,5,7,3,6]=>[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}} [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,7,3,6]=>[4,2,6,1,5,7,3]=>{{1,4},{2},{3,6,7},{5}} [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,7,3,6]=>[5,2,6,4,1,7,3]=>{{1,5},{2},{3,6,7},{4}} [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,5,7,1,3,6]=>[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}} [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}} [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7]=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}} [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}} [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}} [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,4,5,1,3,6,7]=>[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}} [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}} [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,7]=>[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}} [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,7]=>[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}} [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,4,5,6,1,3,7]=>[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}} [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}} [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1,5,6,7,3]=>[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}} [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,5,1,6,7,3]=>[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}} [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,5,6,7,1,3]=>[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,7]=>[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}} [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,6,4,7]=>[3,2,5,6,1,4,7]=>{{1,3,5},{2},{4,6},{7}} [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,7]=>[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}} [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,5,1,6,3,4,7]=>[5,2,4,6,1,3,7]=>{{1,5},{2},{3,4,6},{7}} [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,6,1,3,4,7]=>[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}} [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4]=>[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,6,7,4]=>[3,2,5,7,1,6,4]=>{{1,3,5},{2},{4,7},{6}} [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,5,6,3,7,4]=>[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}} [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,5,1,6,3,7,4]=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}} [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,5,6,1,3,7,4]=>[3,2,6,7,5,1,4]=>{{1,3,6},{2},{4,7},{5}} [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,6,7,3,4]=>[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}} [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,5,1,6,7,3,4]=>[5,2,4,7,1,6,3]=>{{1,5},{2},{3,4,7},{6}} [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,5,6,1,7,3,4]=>[6,2,4,7,5,1,3]=>{{1,6},{2},{3,4,7},{5}} [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,5,6,7,1,3,4]=>[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}} [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,6]=>[2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}} [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,6]=>[3,2,5,6,1,7,4]=>{{1,3,5},{2},{4,6,7}} [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,7,3,4,6]=>[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}} [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,5,1,7,3,4,6]=>[5,2,4,6,1,7,3]=>{{1,5},{2},{3,4,6,7}} [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,5,7,1,3,4,6]=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}} [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}} [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,4,7,6]=>[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}} [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}} [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}} [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,7,6]=>[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}} [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,7,4,6]=>[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}} [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,4,6]=>[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}} [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,1,7,4,6]=>[5,2,3,6,1,7,4]=>{{1,5},{2},{3},{4,6,7}} [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,5,7,1,4,6]=>[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}} [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}} [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,4,6,7]=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}} [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}} [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}} [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,4,6,7]=>[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}} [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}} [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}} [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}} [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,7]=>[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}} [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}} [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}} [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,5,1,6,7,4]=>[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}} [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}} [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,6,7,1,4]=>[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}} [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,5]=>[2,1,6,5,7,3,4]=>{{1,2},{3,6},{4,5,7}} [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,6,1,3,7,4,5]=>[3,2,6,5,7,1,4]=>{{1,3,6},{2},{4,5,7}} [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,6,7,3,4,5]=>[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}} [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,6,1,7,3,4,5]=>[6,2,4,5,7,1,3]=>{{1,6},{2},{3,4,5,7}} [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,5]=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}} [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,6,3,4,7,5]=>[2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}} [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,6,1,3,4,7,5]=>[3,2,4,6,7,1,5]=>{{1,3,4,6},{2},{5,7}} [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,3,6,4,7,5]=>[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}} [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5]=>[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}} [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,6,1,4,7,5]=>[4,2,3,6,7,1,5]=>{{1,4,6},{2},{3},{5,7}} [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,3,6,7,4,5]=>[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}} [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,6,7,4,5]=>[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}} [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,6,1,7,4,5]=>[6,2,3,5,7,1,4]=>{{1,6},{2},{3},{4,5,7}} [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,6,7,1,4,5]=>[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}} [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}} [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5,7]=>[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}} [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}} [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,5,7]=>[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}} [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,7]=>[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}} [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}} [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}} [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}} [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5,7]=>[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}} [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}} [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}} [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}} [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}} [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,6,7,1,5]=>[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}} [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}} [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}} [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}} [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,7,4,5,6]=>[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}} [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,7,1,4,5,6]=>[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}} [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}} [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,4,7,5,6]=>[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}} [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,6]=>[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}} [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}} [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}} [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}} [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}} [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}} [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,4,5,7,1,6]=>[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}} [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}} [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,7]=>[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}} [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,7]=>[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}} [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5,7]=>[3,5,1,4,6,2,7]=>{{1,3},{2,5,6},{4},{7}} [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5,7]=>[4,5,3,1,6,2,7]=>{{1,4},{2,5,6},{3},{7}} [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5,7]=>[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}} [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5]=>[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}} [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,7,5]=>[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}} [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,7,5]=>[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}} [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,4,1,6,2,7,5]=>[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}} [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,4,6,1,2,7,5]=>[2,6,3,4,7,1,5]=>{{1,2,6},{3},{4},{5,7}} [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,7,2,5]=>[3,5,1,4,7,6,2]=>{{1,3},{2,5,7},{4},{6}} [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,4,1,6,7,2,5]=>[4,5,3,1,7,6,2]=>{{1,4},{2,5,7},{3},{6}} [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,4,6,1,7,2,5]=>[6,5,3,4,7,1,2]=>{{1,6},{2,5,7},{3},{4}} [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,6,7,1,2,5]=>[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}} [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,6]=>[3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}} [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,6]=>[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}} [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,4,7,2,5,6]=>[3,5,1,4,6,7,2]=>{{1,3},{2,5,6,7},{4}} [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,4,1,7,2,5,6]=>[4,5,3,1,6,7,2]=>{{1,4},{2,5,6,7},{3}} [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,4,7,1,2,5,6]=>[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}} [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,7,6]=>[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}} [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,4,1,2,5,7,6]=>[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}} [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,7,6]=>[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}} [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,7,6]=>[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}} [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,7,6]=>[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}} [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,4,5,7,2,6]=>[3,6,1,4,5,7,2]=>{{1,3},{2,6,7},{4},{5}} [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,4,1,5,7,2,6]=>[4,6,3,1,5,7,2]=>{{1,4},{2,6,7},{3},{5}} [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,4,5,1,7,2,6]=>[5,6,3,4,1,7,2]=>{{1,5},{2,6,7},{3},{4}} [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,7,1,2,6]=>[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}} [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}} [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}} [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,4,5,2,6,7]=>[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}} [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,4,1,5,2,6,7]=>[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}} [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,4,5,1,2,6,7]=>[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}} [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,7]=>[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}} [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,7]=>[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}} [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,7]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}} [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,5,6,1,2,7]=>[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}} [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,5,6,7,2]=>[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}} [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1,5,6,7,2]=>[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}} [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,5,1,6,7,2]=>[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}} [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}} [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,7]=>[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}} [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,5,1,2,6,4,7]=>[2,5,3,6,1,4,7]=>{{1,2,5},{3},{4,6},{7}} [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,5,6,2,4,7]=>[3,4,1,6,5,2,7]=>{{1,3},{2,4,6},{5},{7}} [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,7]=>[5,4,3,6,1,2,7]=>{{1,5},{2,4,6},{3},{7}} [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,7]=>[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}} [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,6,7,4]=>[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}} [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,6,7,4]=>[2,5,3,7,1,6,4]=>{{1,2,5},{3},{4,7},{6}} [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,5,6,2,7,4]=>[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}} [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,5,1,6,2,7,4]=>[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}} [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,5,6,1,2,7,4]=>[2,6,3,7,5,1,4]=>{{1,2,6},{3},{4,7},{5}} [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,5,6,7,2,4]=>[3,4,1,7,5,6,2]=>{{1,3},{2,4,7},{5},{6}} [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,5,1,6,7,2,4]=>[5,4,3,7,1,6,2]=>{{1,5},{2,4,7},{3},{6}} [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,5,6,1,7,2,4]=>[6,4,3,7,5,1,2]=>{{1,6},{2,4,7},{3},{5}} [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,5,6,7,1,2,4]=>[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}} [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,6]=>[3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}} [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,6]=>[2,5,3,6,1,7,4]=>{{1,2,5},{3},{4,6,7}} [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,6]=>[3,4,1,6,5,7,2]=>{{1,3},{2,4,6,7},{5}} [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,6]=>[5,4,3,6,1,7,2]=>{{1,5},{2,4,6,7},{3}} [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,6]=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}} [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6]=>[3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}} [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,7,6]=>[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}} [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6]=>[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}} [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6]=>[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}} [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6]=>[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}} [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,6]=>[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}} [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,7,4,6]=>[1,5,3,6,2,7,4]=>{{1},{2,5},{3},{4,6,7}} [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}} [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7]=>[3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}} [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,7]=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}} [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,5,4,6,7]=>[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}} [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}} [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,7]=>[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}} [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,5,6,4,7]=>[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}} [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}} [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}} [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,7]=>[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}} [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,5,6,7,4]=>[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}} [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}} [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}} [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}} [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,6,7,2,4]=>[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}} [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,5]=>[3,6,1,5,7,2,4]=>{{1,3},{2,6},{4,5,7}} [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,6,1,2,7,4,5]=>[2,6,3,5,7,1,4]=>{{1,2,6},{3},{4,5,7}} [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,6,7,2,4,5]=>[3,4,1,5,7,6,2]=>{{1,3},{2,4,5,7},{6}} [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,6,1,7,2,4,5]=>[6,4,3,5,7,1,2]=>{{1,6},{2,4,5,7},{3}} [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,5]=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}} [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,7,5]=>[3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}} [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,6,1,2,4,7,5]=>[2,4,3,6,7,1,5]=>{{1,2,4,6},{3},{5,7}} [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,2,6,4,7,5]=>[2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}} [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}} [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,7,5]=>[1,4,3,6,7,2,5]=>{{1},{2,4,6},{3},{5,7}} [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,6,7,4,5]=>[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}} [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}} [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>[1,6,3,5,7,2,4]=>{{1},{2,6},{3},{4,5,7}} [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}} [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,7]=>[3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}} [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5,7]=>[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}} [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}} [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}} [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5,7]=>[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}} [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}} [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}} [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}} [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,7]=>[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}} [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,7,5]=>[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}} [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}} [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}} [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}} [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,4,6,7,2,5]=>[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}} [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,6]=>[3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}} [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,6]=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}} [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}} [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}} [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,6]=>[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}} [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}} [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}} [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,4,2,7,5,6]=>[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}} [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}} [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,7,6]=>[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}} [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}} [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}} [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}} [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,4,5,7,2,6]=>[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}} [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}} [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}} [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}} [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}} [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}} [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}} [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,6,3,7]=>[2,5,6,4,1,3,7]=>{{1,2,5},{3,6},{4},{7}} [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,7]=>[4,3,6,1,5,2,7]=>{{1,4},{2,3,6},{5},{7}} [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,7]=>[5,3,6,4,1,2,7]=>{{1,5},{2,3,6},{4},{7}} [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}} [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,6,7,3]=>[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,6,7,3]=>[2,5,7,4,1,6,3]=>{{1,2,5},{3,7},{4},{6}} [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,5,6,2,7,3]=>[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}} [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,5,1,6,2,7,3]=>[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}} [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,5,6,1,2,7,3]=>[2,6,7,4,5,1,3]=>{{1,2,6},{3,7},{4},{5}} [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,5,6,7,2,3]=>[4,3,7,1,5,6,2]=>{{1,4},{2,3,7},{5},{6}} [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,5,1,6,7,2,3]=>[5,3,7,4,1,6,2]=>{{1,5},{2,3,7},{4},{6}} [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,5,6,1,7,2,3]=>[6,3,7,4,5,1,2]=>{{1,6},{2,3,7},{4},{5}} [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}} [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,6]=>[4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}} [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,6]=>[2,5,6,4,1,7,3]=>{{1,2,5},{3,6,7},{4}} [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,5,7,2,3,6]=>[4,3,6,1,5,7,2]=>{{1,4},{2,3,6,7},{5}} [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,5,1,7,2,3,6]=>[5,3,6,4,1,7,2]=>{{1,5},{2,3,6,7},{4}} [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,5,7,1,2,3,6]=>[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}} [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,7,6]=>[4,3,5,1,2,7,6]=>{{1,4},{2,3,5},{6,7}} [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,7,6]=>[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}} [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,7,6]=>[2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}} [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}} [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,7,6]=>[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}} [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6]=>[2,4,6,1,5,7,3]=>{{1,2,4},{3,6,7},{5}} [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,6]=>[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}} [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,2,7,3,6]=>[1,5,6,4,2,7,3]=>{{1},{2,5},{3,6,7},{4}} [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}} [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7]=>[4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}} [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}} [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3,6,7]=>[2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}} [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}} [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3,6,7]=>[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}} [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,7]=>[2,4,6,1,5,3,7]=>{{1,2,4},{3,6},{5},{7}} [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}} [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}} [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,5,6,2,3,7]=>[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}} [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[4,1,2,5,6,7,3]=>[2,4,7,1,5,6,3]=>{{1,2,4},{3,7},{5},{6}} [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}} [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}} [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}} [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,6,7,2,3]=>[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,5]=>[4,6,5,1,7,2,3]=>{{1,4},{2,6},{3,5,7}} [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,6,1,2,7,3,5]=>[2,6,5,4,7,1,3]=>{{1,2,6},{3,5,7},{4}} [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,6,7,2,3,5]=>[4,3,5,1,7,6,2]=>{{1,4},{2,3,5,7},{6}} [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,6,1,7,2,3,5]=>[6,3,5,4,7,1,2]=>{{1,6},{2,3,5,7},{4}} [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,6,7,1,2,3,5]=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}} [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,7,5]=>[4,3,6,1,7,2,5]=>{{1,4},{2,3,6},{5,7}} [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,7,5]=>[2,3,6,4,7,1,5]=>{{1,2,3,6},{4},{5,7}} [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,7,5]=>[2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}} [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}} [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,7,5]=>[1,3,6,4,7,2,5]=>{{1},{2,3,6},{4},{5,7}} [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,7,3,5]=>[2,4,5,1,7,6,3]=>{{1,2,4},{3,5,7},{6}} [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,7,3,5]=>[1,4,5,2,7,6,3]=>{{1},{2,4},{3,5,7},{6}} [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>[1,6,5,4,7,2,3]=>{{1},{2,6},{3,5,7},{4}} [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}} [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,7]=>[4,3,5,1,6,2,7]=>{{1,4},{2,3,5,6},{7}} [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,7]=>[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}} [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,7]=>[2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}} [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,7]=>[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}} [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5,7]=>[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}} [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,7]=>[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}} [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}} [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}} [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5,7]=>[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}} [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,7,5]=>[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}} [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}} [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}} [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}} [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,6,7,3,5]=>[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}} [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,7,2,3,5,6]=>[4,3,5,1,6,7,2]=>{{1,4},{2,3,5,6,7}} [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,7,1,2,3,5,6]=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}} [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,6]=>[2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}} [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,6]=>[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}} [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,7,2,3,5,6]=>[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}} [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,6]=>[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}} [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}} [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}} [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}} [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,7,6]=>[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}} [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}} [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}} [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}} [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,2,4,5,7,3,6]=>[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}} [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}} [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}} [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}} [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,4]=>[5,6,4,7,1,2,3]=>{{1,5},{2,6},{3,4,7}} [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,6,1,2,7,3,4]=>[2,6,4,7,5,1,3]=>{{1,2,6},{3,4,7},{5}} [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,1,6,7,2,3,4]=>[5,3,4,7,1,6,2]=>{{1,5},{2,3,4,7},{6}} [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[5,6,1,7,2,3,4]=>[6,3,4,7,5,1,2]=>{{1,6},{2,3,4,7},{5}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}} [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,7,4]=>[5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}} [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,6,1,2,3,7,4]=>[2,3,6,7,5,1,4]=>{{1,2,3,6},{4,7},{5}} [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[5,1,2,6,3,7,4]=>[2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}} [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}} [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,7,4]=>[1,3,6,7,5,2,4]=>{{1},{2,3,6},{4,7},{5}} [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[5,1,2,6,7,3,4]=>[2,5,4,7,1,6,3]=>{{1,2,5},{3,4,7},{6}} [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,2,6,7,3,4]=>[1,5,4,7,2,6,3]=>{{1},{2,5},{3,4,7},{6}} [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>[1,6,4,7,5,2,3]=>{{1},{2,6},{3,4,7},{5}} [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}} [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,7]=>[5,3,4,6,1,2,7]=>{{1,5},{2,3,4,6},{7}} [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}} [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,7]=>[2,5,4,6,1,3,7]=>{{1,2,5},{3,4,6},{7}} [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,7]=>[1,5,4,6,2,3,7]=>{{1},{2,5},{3,4,6},{7}} [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,4,7]=>[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}} [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,6,4,7]=>[2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}} [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,7]=>[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}} [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}} [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,3,4,7]=>[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}} [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[5,1,2,3,6,7,4]=>[2,3,5,7,1,6,4]=>{{1,2,3,5},{4,7},{6}} [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,7,4]=>[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}} [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}} [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}} [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,5,6,7,3,4]=>[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}} [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,7,2,3,4,6]=>[5,3,4,6,1,7,2]=>{{1,5},{2,3,4,6,7}} [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,6]=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}} [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,6]=>[2,5,4,6,1,7,3]=>{{1,2,5},{3,4,6,7}} [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,6]=>[1,5,4,6,2,7,3]=>{{1},{2,5},{3,4,6,7}} [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,7,2,3,4,6]=>[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}} [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,7,4,6]=>[2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}} [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,6]=>[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}} [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,6]=>[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}} [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}} [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,7,6]=>[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}} [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}} [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}} [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}} [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,7,4,6]=>[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}} [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}} [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}} [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}} [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}} [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}} [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,5]=>[6,3,4,5,7,1,2]=>{{1,6},{2,3,4,5,7}} [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}} [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,5]=>[2,6,4,5,7,1,3]=>{{1,2,6},{3,4,5,7}} [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,5]=>[1,6,4,5,7,2,3]=>{{1},{2,6},{3,4,5,7}} [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,5]=>[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}} [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,5]=>[2,3,6,5,7,1,4]=>{{1,2,3,6},{4,5,7}} [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,5]=>[1,3,6,5,7,2,4]=>{{1},{2,3,6},{4,5,7}} [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>[1,2,6,5,7,3,4]=>{{1},{2},{3,6},{4,5,7}} [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}} [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,1,2,3,4,7,5]=>[2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}} [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}} [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,7,5]=>[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}} [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}} [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}} [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}} [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}} [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}} [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}} [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}} [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}} [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}} [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}} [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}} [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}} [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>{{1,3,4},{2},{5,6},{7,8}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,8,7]=>[2,1,5,4,6,3,8,7]=>{{1,2},{3,5,6},{4},{7,8}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,8,7]=>[4,2,5,1,6,3,8,7]=>{{1,4},{2},{3,5,6},{7,8}} [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,8,7]=>[3,2,5,4,6,1,8,7]=>{{1,3,5,6},{2},{4},{7,8}} [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,8,5,7]=>[2,1,4,3,7,6,8,5]=>{{1,2},{3,4},{5,7,8},{6}} [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,8,5,7]=>[3,2,4,1,7,6,8,5]=>{{1,3,4},{2},{5,7,8},{6}} [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,8,5,7]=>[2,1,6,4,7,3,8,5]=>{{1,2},{3,6},{4},{5,7,8}} [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,7]=>[4,2,6,1,7,3,8,5]=>{{1,4},{2},{3,6},{5,7,8}} [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,6,1,3,8,5,7]=>[3,2,6,4,7,1,8,5]=>{{1,3,6},{2},{4},{5,7,8}} [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,6,8,3,5,7]=>[2,1,5,4,7,6,8,3]=>{{1,2},{3,5,7,8},{4},{6}} [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,8,3,5,7]=>[4,2,5,1,7,6,8,3]=>{{1,4},{2},{3,5,7,8},{6}} [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,6,1,8,3,5,7]=>[6,2,5,4,7,1,8,3]=>{{1,6},{2},{3,5,7,8},{4}} [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[3,2,5,4,7,6,8,1]=>{{1,3,5,7,8},{2},{4},{6}} [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>{{1,2},{3,4},{5,6},{7},{8}} [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,7,8]=>[3,2,4,1,6,5,7,8]=>{{1,3,4},{2},{5,6},{7},{8}} [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,7,8]=>[4,2,5,1,6,3,7,8]=>{{1,4},{2},{3,5,6},{7},{8}} [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,4,1,3,6,7,5,8]=>[3,2,4,1,7,6,5,8]=>{{1,3,4},{2},{5,7},{6},{8}} [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,8]=>[4,2,6,1,7,3,5,8]=>{{1,4},{2},{3,6},{5,7},{8}} [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,6,1,3,7,5,8]=>[3,2,6,4,7,1,5,8]=>{{1,3,6},{2},{4},{5,7},{8}} [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,6,7,1,3,5,8]=>[3,2,5,4,7,6,1,8]=>{{1,3,5,7},{2},{4},{6},{8}} [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>{{1,2},{3,4},{5,8},{6},{7}} [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,7,8,5]=>[3,2,4,1,8,6,7,5]=>{{1,3,4},{2},{5,8},{6},{7}} [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,6,3,7,8,5]=>[2,1,6,4,8,3,7,5]=>{{1,2},{3,6},{4},{5,8},{7}} [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,7,8,5]=>[4,2,6,1,8,3,7,5]=>{{1,4},{2},{3,6},{5,8},{7}} [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,4,6,1,3,7,8,5]=>[3,2,6,4,8,1,7,5]=>{{1,3,6},{2},{4},{5,8},{7}} [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,6,7,3,8,5]=>[2,1,7,4,8,6,3,5]=>{{1,2},{3,7},{4},{5,8},{6}} [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,4,1,6,7,3,8,5]=>[4,2,7,1,8,6,3,5]=>{{1,4},{2},{3,7},{5,8},{6}} [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,4,6,1,7,3,8,5]=>[6,2,7,4,8,1,3,5]=>{{1,6},{2},{3,7},{4},{5,8}} [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,4,6,7,1,3,8,5]=>[3,2,7,4,8,6,1,5]=>{{1,3,7},{2},{4},{5,8},{6}} [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,6,7,8,3,5]=>[2,1,5,4,8,6,7,3]=>{{1,2},{3,5,8},{4},{6},{7}} [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1,6,7,8,3,5]=>[4,2,5,1,8,6,7,3]=>{{1,4},{2},{3,5,8},{6},{7}} [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,6,7,1,8,3,5]=>[7,2,5,4,8,6,1,3]=>{{1,7},{2},{3,5,8},{4},{6}} [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,6,7,8,1,3,5]=>[3,2,5,4,8,6,7,1]=>{{1,3,5,8},{2},{4},{6},{7}} [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,8,5,6]=>{{1,2},{3,4},{5,7},{6,8}} [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,7,5,8,6]=>[3,2,4,1,7,8,5,6]=>{{1,3,4},{2},{5,7},{6,8}} [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,4,1,7,3,5,8,6]=>[4,2,5,1,7,8,3,6]=>{{1,4},{2},{3,5,7},{6,8}} [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,4,7,1,3,5,8,6]=>[3,2,5,4,7,8,1,6]=>{{1,3,5,7},{2},{4},{6,8}} [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,6,8,7,5]=>{{1,2},{3,4},{5,6,8},{7}} [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,7,8,5,6]=>[3,2,4,1,6,8,7,5]=>{{1,3,4},{2},{5,6,8},{7}} [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,7,3,8,5,6]=>[2,1,7,4,6,8,3,5]=>{{1,2},{3,7},{4},{5,6,8}} [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,4,7,1,3,8,5,6]=>[3,2,7,4,6,8,1,5]=>{{1,3,7},{2},{4},{5,6,8}} [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,7,8,3,5,6]=>[4,2,5,1,6,8,7,3]=>{{1,4},{2},{3,5,6,8},{7}} [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,7,8,1,3,5,6]=>[3,2,5,4,6,8,7,1]=>{{1,3,5,6,8},{2},{4},{7}} [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,4,1,3,7,5,6,8]=>[3,2,4,1,6,7,5,8]=>{{1,3,4},{2},{5,6,7},{8}} [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,4,7,3,5,6,8]=>[2,1,5,4,6,7,3,8]=>{{1,2},{3,5,6,7},{4},{8}} [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,4,1,3,5,7,6,8]=>[3,2,4,1,5,7,6,8]=>{{1,3,4},{2},{5},{6,7},{8}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,8]=>[4,2,5,1,3,7,6,8]=>{{1,4},{2},{3,5},{6,7},{8}} [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,7,6,8]=>[3,2,5,4,1,7,6,8]=>{{1,3,5},{2},{4},{6,7},{8}} [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,7,3,6,8]=>[5,2,6,4,1,7,3,8]=>{{1,5},{2},{3,6,7},{4},{8}} [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6]=>{{1,2},{3,4},{5},{6,8},{7}} [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,5,7,8,6]=>[3,2,4,1,5,8,7,6]=>{{1,3,4},{2},{5},{6,8},{7}} [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,7,8,6]=>[2,1,5,4,3,8,7,6]=>{{1,2},{3,5},{4},{6,8},{7}} [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,7,8,6]=>[4,2,5,1,3,8,7,6]=>{{1,4},{2},{3,5},{6,8},{7}} [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,5,1,3,7,8,6]=>[3,2,5,4,1,8,7,6]=>{{1,3,5},{2},{4},{6,8},{7}} [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,5,7,3,8,6]=>[2,1,7,4,5,8,3,6]=>{{1,2},{3,7},{4},{5},{6,8}} [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,1,5,7,3,8,6]=>[4,2,7,1,5,8,3,6]=>{{1,4},{2},{3,7},{5},{6,8}} [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,1,7,3,8,6]=>[5,2,7,4,1,8,3,6]=>{{1,5},{2},{3,7},{4},{6,8}} [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,5,7,1,3,8,6]=>[3,2,7,4,5,8,1,6]=>{{1,3,7},{2},{4},{5},{6,8}} [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,4,5,7,8,3,6]=>[2,1,6,4,5,8,7,3]=>{{1,2},{3,6,8},{4},{5},{7}} [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,4,5,1,7,8,3,6]=>[5,2,6,4,1,8,7,3]=>{{1,5},{2},{3,6,8},{4},{7}} [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,4,5,7,1,8,3,6]=>[7,2,6,4,5,8,1,3]=>{{1,7},{2},{3,6,8},{4},{5}} [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,6,7,8,5]=>{{1,2},{3,4},{5,6,7,8}} [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,1,3,8,5,6,7]=>[3,2,4,1,6,7,8,5]=>{{1,3,4},{2},{5,6,7,8}} [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,4,8,3,5,6,7]=>[2,1,5,4,6,7,8,3]=>{{1,2},{3,5,6,7,8},{4}} [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,8,3,5,6,7]=>[4,2,5,1,6,7,8,3]=>{{1,4},{2},{3,5,6,7,8}} [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,8,1,3,5,6,7]=>[3,2,5,4,6,7,8,1]=>{{1,3,5,6,7,8},{2},{4}} [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,7,8,6]=>{{1,2},{3,4},{5},{6,7,8}} [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,1,3,5,8,6,7]=>[3,2,4,1,5,7,8,6]=>{{1,3,4},{2},{5},{6,7,8}} [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,8,6,7]=>[4,2,5,1,3,7,8,6]=>{{1,4},{2},{3,5},{6,7,8}} [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,4,5,8,3,6,7]=>[2,1,6,4,5,7,8,3]=>{{1,2},{3,6,7,8},{4},{5}} [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,5,8,3,6,7]=>[4,2,6,1,5,7,8,3]=>{{1,4},{2},{3,6,7,8},{5}} [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,5,1,8,3,6,7]=>[5,2,6,4,1,7,8,3]=>{{1,5},{2},{3,6,7,8},{4}} [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>{{1,2},{3,4},{5},{6},{7,8}} [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,8,7]=>[3,2,4,1,5,6,8,7]=>{{1,3,4},{2},{5},{6},{7,8}} [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>{{1,2},{3,5},{4},{6},{7,8}} [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,8,7]=>[4,2,5,1,3,6,8,7]=>{{1,4},{2},{3,5},{6},{7,8}} [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>{{1,2},{3,6},{4},{5},{7,8}} [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,8,7]=>[4,2,6,1,5,3,8,7]=>{{1,4},{2},{3,6},{5},{7,8}} [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,8,7]=>[5,2,6,4,1,3,8,7]=>{{1,5},{2},{3,6},{4},{7,8}} [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,6,1,3,8,7]=>[3,2,6,4,5,1,8,7]=>{{1,3,6},{2},{4},{5},{7,8}} [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,1,5,6,8,3,7]=>[4,2,7,1,5,6,8,3]=>{{1,4},{2},{3,7,8},{5},{6}} [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,5,1,6,8,3,7]=>[5,2,7,4,1,6,8,3]=>{{1,5},{2},{3,7,8},{4},{6}} [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,6,1,8,3,7]=>[6,2,7,4,5,1,8,3]=>{{1,6},{2},{3,7,8},{4},{5}} [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>{{1,2},{3,4},{5},{6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>{{1,3,4},{2},{5},{6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>{{1,2},{3,5},{4},{6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7,8]=>[4,2,5,1,3,6,7,8]=>{{1,4},{2},{3,5},{6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,5,1,3,6,7,8]=>[3,2,5,4,1,6,7,8]=>{{1,3,5},{2},{4},{6},{7},{8}} [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,7,8]=>[4,2,6,1,5,3,7,8]=>{{1,4},{2},{3,6},{5},{7},{8}} [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,7,8]=>[5,2,6,4,1,3,7,8]=>{{1,5},{2},{3,6},{4},{7},{8}} [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,1,5,6,7,3,8]=>[4,2,7,1,5,6,3,8]=>{{1,4},{2},{3,7},{5},{6},{8}} [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,5,1,6,7,3,8]=>[5,2,7,4,1,6,3,8]=>{{1,5},{2},{3,7},{4},{6},{8}} [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,5,6,1,7,3,8]=>[6,2,7,4,5,1,3,8]=>{{1,6},{2},{3,7},{4},{5},{8}} [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,5,6,7,1,3,8]=>[3,2,7,4,5,6,1,8]=>{{1,3,7},{2},{4},{5},{6},{8}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>{{1,2},{3,8},{4},{5},{6},{7}} [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1,5,6,7,8,3]=>[4,2,8,1,5,6,7,3]=>{{1,4},{2},{3,8},{5},{6},{7}} [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,5,1,6,7,8,3]=>[5,2,8,4,1,6,7,3]=>{{1,5},{2},{3,8},{4},{6},{7}} [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,5,6,1,7,8,3]=>[6,2,8,4,5,1,7,3]=>{{1,6},{2},{3,8},{4},{5},{7}} [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,5,6,7,1,8,3]=>[7,2,8,4,5,6,1,3]=>{{1,7},{2},{3,8},{4},{5},{6}} [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,4,5,6,7,8,1,3]=>[3,2,8,4,5,6,7,1]=>{{1,3,8},{2},{4},{5},{6},{7}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,8,7]=>[2,1,5,6,3,4,8,7]=>{{1,2},{3,5},{4,6},{7,8}} [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,8,7]=>[2,1,4,6,5,3,8,7]=>{{1,2},{3,4,6},{5},{7,8}} [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,5,1,6,3,4,8,7]=>[5,2,4,6,1,3,8,7]=>{{1,5},{2},{3,4,6},{7,8}} [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,6,8,4,7]=>[2,1,5,7,3,6,8,4]=>{{1,2},{3,5},{4,7,8},{6}} [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,6,8,4,7]=>[3,2,5,7,1,6,8,4]=>{{1,3,5},{2},{4,7,8},{6}} [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,5,6,8,1,3,4,7]=>[3,2,4,7,5,6,8,1]=>{{1,3,4,7,8},{2},{5},{6}} [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,7,8]=>[2,1,5,6,3,4,7,8]=>{{1,2},{3,5},{4,6},{7},{8}} [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4,7,8]=>[3,2,5,6,1,4,7,8]=>{{1,3,5},{2},{4,6},{7},{8}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,7,8]=>[2,1,4,6,5,3,7,8]=>{{1,2},{3,4,6},{5},{7},{8}} [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,6,7,4,8]=>[3,2,5,7,1,6,4,8]=>{{1,3,5},{2},{4,7},{6},{8}} [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,5,1,6,3,7,4,8]=>[5,2,6,7,1,3,4,8]=>{{1,5},{2},{3,6},{4,7},{8}} [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,5,6,1,3,7,4,8]=>[3,2,6,7,5,1,4,8]=>{{1,3,6},{2},{4,7},{5},{8}} [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,6,7,8,4]=>[2,1,5,8,3,6,7,4]=>{{1,2},{3,5},{4,8},{6},{7}} [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,6,7,8,4]=>[3,2,5,8,1,6,7,4]=>{{1,3,5},{2},{4,8},{6},{7}} [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,6,3,7,8,4]=>[2,1,6,8,5,3,7,4]=>{{1,2},{3,6},{4,8},{5},{7}} [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,5,1,6,3,7,8,4]=>[5,2,6,8,1,3,7,4]=>{{1,5},{2},{3,6},{4,8},{7}} [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,5,6,1,3,7,8,4]=>[3,2,6,8,5,1,7,4]=>{{1,3,6},{2},{4,8},{5},{7}} [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,7,3,8,4]=>[2,1,7,8,5,6,3,4]=>{{1,2},{3,7},{4,8},{5},{6}} [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,1,6,7,3,8,4]=>[5,2,7,8,1,6,3,4]=>{{1,5},{2},{3,7},{4,8},{6}} [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,5,6,1,7,3,8,4]=>[6,2,7,8,5,1,3,4]=>{{1,6},{2},{3,7},{4,8},{5}} [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,5,6,7,1,3,8,4]=>[3,2,7,8,5,6,1,4]=>{{1,3,7},{2},{4,8},{5},{6}} [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,5,6,7,8,3,4]=>[2,1,4,8,5,6,7,3]=>{{1,2},{3,4,8},{5},{6},{7}} [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,5,1,6,7,8,3,4]=>[5,2,4,8,1,6,7,3]=>{{1,5},{2},{3,4,8},{6},{7}} [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5,6,7,8,1,3,4]=>[3,2,4,8,5,6,7,1]=>{{1,3,4,8},{2},{5},{6},{7}} [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,8,6]=>[2,1,5,7,3,8,4,6]=>{{1,2},{3,5},{4,7},{6,8}} [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,8,6]=>[3,2,5,7,1,8,4,6]=>{{1,3,5},{2},{4,7},{6,8}} [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>[5,2,4,7,1,8,3,6]=>{{1,5},{2},{3,4,7},{6,8}} [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,7,1,3,4,8,6]=>[3,2,4,7,5,8,1,6]=>{{1,3,4,7},{2},{5},{6,8}} [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,7,8,4,6]=>[2,1,5,6,3,8,7,4]=>{{1,2},{3,5},{4,6,8},{7}} [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,7,8,4,6]=>[3,2,5,6,1,8,7,4]=>{{1,3,5},{2},{4,6,8},{7}} [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,5,7,3,8,4,6]=>[2,1,7,6,5,8,3,4]=>{{1,2},{3,7},{4,6,8},{5}} [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,7,8,3,4,6]=>[2,1,4,6,5,8,7,3]=>{{1,2},{3,4,6,8},{5},{7}} [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,5,7,8,1,3,4,6]=>[3,2,4,6,5,8,7,1]=>{{1,3,4,6,8},{2},{5},{7}} [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,6,8]=>[2,1,5,6,3,7,4,8]=>{{1,2},{3,5},{4,6,7},{8}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>{{1,3},{2},{4,5},{6,7},{8}} [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,4,6,8]=>[3,2,1,6,5,7,4,8]=>{{1,3},{2},{4,6,7},{5},{8}} [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,4,7,8,6]=>[3,2,4,5,1,8,7,6]=>{{1,3,4,5},{2},{6,8},{7}} [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6]=>{{1,2},{3},{4,5},{6,8},{7}} [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,4,7,8,6]=>[4,2,3,5,1,8,7,6]=>{{1,4,5},{2},{3},{6,8},{7}} [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,5,7,4,8,6]=>[2,1,3,7,5,8,4,6]=>{{1,2},{3},{4,7},{5},{6,8}} [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,1,7,4,8,6]=>[5,2,3,7,1,8,4,6]=>{{1,5},{2},{3},{4,7},{6,8}} [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,5,7,8,4,6]=>[2,1,3,6,5,8,7,4]=>{{1,2},{3},{4,6,8},{5},{7}} [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,5,7,8,4,6]=>[3,2,1,6,5,8,7,4]=>{{1,3},{2},{4,6,8},{5},{7}} [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,7,8,1,4,6]=>[4,2,3,6,5,8,7,1]=>{{1,4,6,8},{2},{3},{5},{7}} [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,3,8,4,6,7]=>[2,1,5,6,3,7,8,4]=>{{1,2},{3,5},{4,6,7,8}} [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,5,1,3,8,4,6,7]=>[3,2,5,6,1,7,8,4]=>{{1,3,5},{2},{4,6,7,8}} [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,8,6,7]=>[2,1,3,5,4,7,8,6]=>{{1,2},{3},{4,5},{6,7,8}} [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,8,6,7]=>[4,2,3,5,1,7,8,6]=>{{1,4,5},{2},{3},{6,7,8}} [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,5,8,4,6,7]=>[3,2,1,6,5,7,8,4]=>{{1,3},{2},{4,6,7,8},{5}} [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,1,8,4,6,7]=>[5,2,3,6,1,7,8,4]=>{{1,5},{2},{3},{4,6,7,8}} [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,8,7]=>[2,1,4,5,3,6,8,7]=>{{1,2},{3,4,5},{6},{7,8}} [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>{{1,2},{3},{4,5},{6},{7,8}} [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7]=>{{1,2},{3},{4,6},{5},{7,8}} [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,5,6,4,8,7]=>[3,2,1,6,5,4,8,7]=>{{1,3},{2},{4,6},{5},{7,8}} [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,1,6,4,8,7]=>[5,2,3,6,1,4,8,7]=>{{1,5},{2},{3},{4,6},{7,8}} [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,1,5,6,8,4,7]=>[3,2,1,7,5,6,8,4]=>{{1,3},{2},{4,7,8},{5},{6}} [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,5,1,6,8,4,7]=>[5,2,3,7,1,6,8,4]=>{{1,5},{2},{3},{4,7,8},{6}} [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,5,6,8,1,4,7]=>[4,2,3,7,5,6,8,1]=>{{1,4,7,8},{2},{3},{5},{6}} [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7,8]=>[2,1,4,5,3,6,7,8]=>{{1,2},{3,4,5},{6},{7},{8}} [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,1,3,4,6,7,8]=>[3,2,4,5,1,6,7,8]=>{{1,3,4,5},{2},{6},{7},{8}} [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>{{1,2},{3},{4,5},{6},{7},{8}} [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>{{1,3},{2},{4,5},{6},{7},{8}} [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,5,1,4,6,7,8]=>[4,2,3,5,1,6,7,8]=>{{1,4,5},{2},{3},{6},{7},{8}} [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>{{1,3},{2},{4,6},{5},{7},{8}} [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,5,1,6,4,7,8]=>[5,2,3,6,1,4,7,8]=>{{1,5},{2},{3},{4,6},{7},{8}} [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>{{1,3},{2},{4,7},{5},{6},{8}} [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,5,1,6,7,4,8]=>[5,2,3,7,1,6,4,8]=>{{1,5},{2},{3},{4,7},{6},{8}} [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,5,6,1,7,4,8]=>[6,2,3,7,5,1,4,8]=>{{1,6},{2},{3},{4,7},{5},{8}} [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,5,6,7,1,4,8]=>[4,2,3,7,5,6,1,8]=>{{1,4,7},{2},{3},{5},{6},{8}} [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4]=>{{1,2},{3},{4,8},{5},{6},{7}} [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>{{1,3},{2},{4,8},{5},{6},{7}} [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,5,1,6,7,8,4]=>[5,2,3,8,1,6,7,4]=>{{1,5},{2},{3},{4,8},{6},{7}} [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,5,6,1,7,8,4]=>[6,2,3,8,5,1,7,4]=>{{1,6},{2},{3},{4,8},{5},{7}} [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,5,6,7,1,8,4]=>[7,2,3,8,5,6,1,4]=>{{1,7},{2},{3},{4,8},{5},{6}} [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,5,6,7,8,1,4]=>[4,2,3,8,5,6,7,1]=>{{1,4,8},{2},{3},{5},{6},{7}} [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,8,5]=>[2,1,6,7,8,3,4,5]=>{{1,2},{3,6},{4,7},{5,8}} [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,6,1,3,7,4,8,5]=>[3,2,6,7,8,1,4,5]=>{{1,3,6},{2},{4,7},{5,8}} [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[2,1,6,7,3,4,8,5]=>[2,1,4,7,8,6,3,5]=>{{1,2},{3,4,7},{5,8},{6}} [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,6,1,7,3,4,8,5]=>[6,2,4,7,8,1,3,5]=>{{1,6},{2},{3,4,7},{5,8}} [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,8,5]=>[3,2,4,7,8,6,1,5]=>{{1,3,4,7},{2},{5,8},{6}} [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,1,6,3,7,8,4,5]=>[2,1,6,5,8,3,7,4]=>{{1,2},{3,6},{4,5,8},{7}} [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,6,1,3,7,8,4,5]=>[3,2,6,5,8,1,7,4]=>{{1,3,6},{2},{4,5,8},{7}} [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,1,6,7,3,8,4,5]=>[2,1,7,5,8,6,3,4]=>{{1,2},{3,7},{4,5,8},{6}} [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,6,7,1,3,8,4,5]=>[3,2,7,5,8,6,1,4]=>{{1,3,7},{2},{4,5,8},{6}} [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,1,6,7,8,3,4,5]=>[2,1,4,5,8,6,7,3]=>{{1,2},{3,4,5,8},{6},{7}} [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,6,7,8,1,3,4,5]=>[3,2,4,5,8,6,7,1]=>{{1,3,4,5,8},{2},{6},{7}} [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,6,1,3,7,4,5,8]=>[3,2,6,5,7,1,4,8]=>{{1,3,6},{2},{4,5,7},{8}} [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5,8]=>[3,2,1,6,7,4,5,8]=>{{1,3},{2},{4,6},{5,7},{8}} [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,3,1,6,7,4,5,8]=>[3,2,1,5,7,6,4,8]=>{{1,3},{2},{4,5,7},{6},{8}} [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,7,8,5]=>[2,1,4,6,8,3,7,5]=>{{1,2},{3,4,6},{5,8},{7}} [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,7,8,5]=>[3,2,1,6,8,4,7,5]=>{{1,3},{2},{4,6},{5,8},{7}} [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,6,7,4,8,5]=>[2,1,3,7,8,6,4,5]=>{{1,2},{3},{4,7},{5,8},{6}} [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,3,1,6,7,4,8,5]=>[3,2,1,7,8,6,4,5]=>{{1,3},{2},{4,7},{5,8},{6}} [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,3,6,1,7,4,8,5]=>[6,2,3,7,8,1,4,5]=>{{1,6},{2},{3},{4,7},{5,8}} [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,3,6,7,1,4,8,5]=>[4,2,3,7,8,6,1,5]=>{{1,4,7},{2},{3},{5,8},{6}} [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,6,7,8,4,5]=>[2,1,3,5,8,6,7,4]=>{{1,2},{3},{4,5,8},{6},{7}} [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,6,7,8,4,5]=>[3,2,1,5,8,6,7,4]=>{{1,3},{2},{4,5,8},{6},{7}} [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,1,7,8,4,5]=>[6,2,3,5,8,1,7,4]=>{{1,6},{2},{3},{4,5,8},{7}} [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,1,6,3,8,4,5,7]=>[2,1,6,5,7,3,8,4]=>{{1,2},{3,6},{4,5,7,8}} [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,6,1,3,8,4,5,7]=>[3,2,6,5,7,1,8,4]=>{{1,3,6},{2},{4,5,7,8}} [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,6,1,8,3,4,5,7]=>[6,2,4,5,7,1,8,3]=>{{1,6},{2},{3,4,5,7,8}} [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,6,8,1,3,4,5,7]=>[3,2,4,5,7,6,8,1]=>{{1,3,4,5,7,8},{2},{6}} [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,1,6,3,4,8,5,7]=>[2,1,4,6,7,3,8,5]=>{{1,2},{3,4,6},{5,7,8}} [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,1,3,6,4,8,5,7]=>[2,1,3,6,7,4,8,5]=>{{1,2},{3},{4,6},{5,7,8}} [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,8,5,7]=>[3,2,1,6,7,4,8,5]=>{{1,3},{2},{4,6},{5,7,8}} [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,6,8,4,5,7]=>[3,2,1,5,7,6,8,4]=>{{1,3},{2},{4,5,7,8},{6}} [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5,8,7]=>[2,1,4,5,6,3,8,7]=>{{1,2},{3,4,5,6},{7,8}} [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5,8,7]=>[2,1,3,5,6,4,8,7]=>{{1,2},{3},{4,5,6},{7,8}} [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,8,7]=>[4,2,3,5,6,1,8,7]=>{{1,4,5,6},{2},{3},{7,8}} [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>{{1,2},{3},{4},{5,6},{7,8}} [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>{{1,4},{2},{3},{5,6},{7,8}} [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5,8,7]=>[5,2,3,4,6,1,8,7]=>{{1,5,6},{2},{3},{4},{7,8}} [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,3,1,4,6,8,5,7]=>[3,2,1,4,7,6,8,5]=>{{1,3},{2},{4},{5,7,8},{6}} [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,6,8,5,7]=>[4,2,3,1,7,6,8,5]=>{{1,4},{2},{3},{5,7,8},{6}} [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,6,1,3,4,5,7,8]=>[3,2,4,5,6,1,7,8]=>{{1,3,4,5,6},{2},{7},{8}} [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,6,4,5,7,8]=>[3,2,1,5,6,4,7,8]=>{{1,3},{2},{4,5,6},{7},{8}} [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,7,8]=>[4,2,3,5,6,1,7,8]=>{{1,4,5,6},{2},{3},{7},{8}} [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>{{1,2},{3},{4},{5,6},{7},{8}} [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>{{1,4},{2},{3},{5,6},{7},{8}} [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,3,4,6,1,5,7,8]=>[5,2,3,4,6,1,7,8]=>{{1,5,6},{2},{3},{4},{7},{8}} [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>{{1,3},{2},{4},{5,7},{6},{8}} [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>{{1,4},{2},{3},{5,7},{6},{8}} [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,3,4,6,7,1,5,8]=>[5,2,3,4,7,6,1,8]=>{{1,5,7},{2},{3},{4},{6},{8}} [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5]=>{{1,2},{3},{4},{5,8},{6},{7}} [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>{{1,3},{2},{4},{5,8},{6},{7}} [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>{{1,4},{2},{3},{5,8},{6},{7}} [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,3,4,6,1,7,8,5]=>[6,2,3,4,8,1,7,5]=>{{1,6},{2},{3},{4},{5,8},{7}} [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,3,4,6,7,1,8,5]=>[7,2,3,4,8,6,1,5]=>{{1,7},{2},{3},{4},{5,8},{6}} [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,6,7,8,1,5]=>[5,2,3,4,8,6,7,1]=>{{1,5,8},{2},{3},{4},{6},{7}} [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,1,7,3,8,4,5,6]=>[2,1,7,5,6,8,3,4]=>{{1,2},{3,7},{4,5,6,8}} [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,1,7,8,3,4,5,6]=>[2,1,4,5,6,8,7,3]=>{{1,2},{3,4,5,6,8},{7}} [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,7,1,8,3,4,5,6]=>[7,2,4,5,6,8,1,3]=>{{1,7},{2},{3,4,5,6,8}} [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,7,8,1,3,4,5,6]=>[3,2,4,5,6,8,7,1]=>{{1,3,4,5,6,8},{2},{7}} [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,7,4,8,5,6]=>[3,2,1,7,6,8,4,5]=>{{1,3},{2},{4,7},{5,6,8}} [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,1,7,8,4,5,6]=>[3,2,1,5,6,8,7,4]=>{{1,3},{2},{4,5,6,8},{7}} [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,7,8,1,4,5,6]=>[4,2,3,5,6,8,7,1]=>{{1,4,5,6,8},{2},{3},{7}} [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,8,6]=>[2,1,4,5,7,8,3,6]=>{{1,2},{3,4,5,7},{6,8}} [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,8,6]=>[3,2,4,5,7,8,1,6]=>{{1,3,4,5,7},{2},{6,8}} [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,7,4,5,8,6]=>[3,2,1,5,7,8,4,6]=>{{1,3},{2},{4,5,7},{6,8}} [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,7,5,8,6]=>[2,1,3,4,7,8,5,6]=>{{1,2},{3},{4},{5,7},{6,8}} [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,8,6]=>[4,2,3,1,7,8,5,6]=>{{1,4},{2},{3},{5,7},{6,8}} [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,1,4,7,8,5,6]=>[3,2,1,4,6,8,7,5]=>{{1,3},{2},{4},{5,6,8},{7}} [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,7,8,5,6]=>[4,2,3,1,6,8,7,5]=>{{1,4},{2},{3},{5,6,8},{7}} [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,4,7,1,8,5,6]=>[7,2,3,4,6,8,1,5]=>{{1,7},{2},{3},{4},{5,6,8}} [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,6,8]=>[2,1,4,5,6,7,3,8]=>{{1,2},{3,4,5,6,7},{8}} [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,6,8]=>[3,2,4,5,6,7,1,8]=>{{1,3,4,5,6,7},{2},{8}} [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,7,1,4,5,6,8]=>[4,2,3,5,6,7,1,8]=>{{1,4,5,6,7},{2},{3},{8}} [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6,8]=>[5,2,3,4,6,7,1,8]=>{{1,5,6,7},{2},{3},{4},{8}} [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>{{1,2},{3},{4},{5},{6,7},{8}} [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8]=>{{1,3},{2},{4},{5},{6,7},{8}} [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>{{1,4},{2},{3},{5},{6,7},{8}} [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,4,5,7,1,6,8]=>[6,2,3,4,5,7,1,8]=>{{1,6,7},{2},{3},{4},{5},{8}} [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6]=>{{1,2},{3},{4},{5},{6,8},{7}} [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>{{1,3},{2},{4},{5},{6,8},{7}} [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>{{1,4},{2},{3},{5},{6,8},{7}} [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>{{1,5},{2},{3},{4},{6,8},{7}} [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,4,5,7,1,8,6]=>[7,2,3,4,5,8,1,6]=>{{1,7},{2},{3},{4},{5},{6,8}} [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,7,8,1,6]=>[6,2,3,4,5,8,7,1]=>{{1,6,8},{2},{3},{4},{5},{7}} [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,1,8,3,4,5,6,7]=>[2,1,4,5,6,7,8,3]=>{{1,2},{3,4,5,6,7,8}} [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,8,1,3,4,5,6,7]=>[3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}} [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,1,3,8,4,5,6,7]=>[2,1,3,5,6,7,8,4]=>{{1,2},{3},{4,5,6,7,8}} [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,3,1,8,4,5,6,7]=>[3,2,1,5,6,7,8,4]=>{{1,3},{2},{4,5,6,7,8}} [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,3,8,1,4,5,6,7]=>[4,2,3,5,6,7,8,1]=>{{1,4,5,6,7,8},{2},{3}} [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,6,7,8,5]=>{{1,2},{3},{4},{5,6,7,8}} [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,3,1,4,8,5,6,7]=>[3,2,1,4,6,7,8,5]=>{{1,3},{2},{4},{5,6,7,8}} [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,3,4,1,8,5,6,7]=>[4,2,3,1,6,7,8,5]=>{{1,4},{2},{3},{5,6,7,8}} [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>[5,2,3,4,6,7,8,1]=>{{1,5,6,7,8},{2},{3},{4}} [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,7,8,6]=>{{1,2},{3},{4},{5},{6,7,8}} [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,3,1,4,5,8,6,7]=>[3,2,1,4,5,7,8,6]=>{{1,3},{2},{4},{5},{6,7,8}} [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,8,6,7]=>[4,2,3,1,5,7,8,6]=>{{1,4},{2},{3},{5},{6,7,8}} [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,8,6,7]=>[5,2,3,4,1,7,8,6]=>{{1,5},{2},{3},{4},{6,7,8}} [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,3,4,5,8,1,6,7]=>[6,2,3,4,5,7,8,1]=>{{1,6,7,8},{2},{3},{4},{5}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>{{1,2},{3},{4},{5},{6},{7,8}} [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>{{1,3},{2},{4},{5},{6},{7,8}} [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,8,7]=>[5,2,3,4,1,6,8,7]=>{{1,5},{2},{3},{4},{6},{7,8}} [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7]=>{{1,6},{2},{3},{4},{5},{7,8}} [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,8,1,7]=>[7,2,3,4,5,6,8,1]=>{{1,7,8},{2},{3},{4},{5},{6}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>{{1,2},{3},{4},{5},{6},{7},{8}} [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>{{1,3},{2},{4},{5},{6},{7},{8}} [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>{{1,4},{2},{3},{5},{6},{7},{8}} [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>{{1,5},{2},{3},{4},{6},{7},{8}} [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>{{1,6},{2},{3},{4},{5},{7},{8}} [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>{{1,7},{2},{3},{4},{5},{6},{8}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>{{1,8},{2},{3},{4},{5},{6},{7}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>{{1,3},{2,4},{5,6},{7,8}} [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>[2,4,3,1,6,5,8,7]=>{{1,2,4},{3},{5,6},{7,8}} [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5,8,7]=>[3,5,1,4,6,2,8,7]=>{{1,3},{2,5,6},{4},{7,8}} [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,8,5,7]=>[3,4,1,2,7,6,8,5]=>{{1,3},{2,4},{5,7,8},{6}} [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,8,5,7]=>[2,4,3,1,7,6,8,5]=>{{1,2,4},{3},{5,7,8},{6}} [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,8,5,7]=>[3,6,1,4,7,2,8,5]=>{{1,3},{2,6},{4},{5,7,8}} [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[3,4,1,6,2,8,5,7]=>[4,6,3,1,7,2,8,5]=>{{1,4},{2,6},{3},{5,7,8}} [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,8,2,5,7]=>[3,5,1,4,7,6,8,2]=>{{1,3},{2,5,7,8},{4},{6}} [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[3,4,1,6,8,2,5,7]=>[4,5,3,1,7,6,8,2]=>{{1,4},{2,5,7,8},{3},{6}} [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,6,8,1,2,5,7]=>[2,5,3,4,7,6,8,1]=>{{1,2,5,7,8},{3},{4},{6}} [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,7,8]=>[3,4,1,2,6,5,7,8]=>{{1,3},{2,4},{5,6},{7},{8}} [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,7,8]=>[2,4,3,1,6,5,7,8]=>{{1,2,4},{3},{5,6},{7},{8}} [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5,8]=>[3,4,1,2,7,6,5,8]=>{{1,3},{2,4},{5,7},{6},{8}} [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[3,1,4,6,2,7,5,8]=>[3,6,1,4,7,2,5,8]=>{{1,3},{2,6},{4},{5,7},{8}} [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[3,4,1,6,2,7,5,8]=>[4,6,3,1,7,2,5,8]=>{{1,4},{2,6},{3},{5,7},{8}} [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[3,4,6,1,2,7,5,8]=>[2,6,3,4,7,1,5,8]=>{{1,2,6},{3},{4},{5,7},{8}} [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[3,4,1,6,7,2,5,8]=>[4,5,3,1,7,6,2,8]=>{{1,4},{2,5,7},{3},{6},{8}} [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,6,7,8,5]=>[3,4,1,2,8,6,7,5]=>{{1,3},{2,4},{5,8},{6},{7}} [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[3,4,1,6,2,7,8,5]=>[4,6,3,1,8,2,7,5]=>{{1,4},{2,6},{3},{5,8},{7}} [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[3,4,1,6,7,2,8,5]=>[4,7,3,1,8,6,2,5]=>{{1,4},{2,7},{3},{5,8},{6}} [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[3,4,6,1,7,2,8,5]=>[6,7,3,4,8,1,2,5]=>{{1,6},{2,7},{3},{4},{5,8}} [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1,6,7,8,2,5]=>[4,5,3,1,8,6,7,2]=>{{1,4},{2,5,8},{3},{6},{7}} [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,6,1,7,8,2,5]=>[6,5,3,4,8,1,7,2]=>{{1,6},{2,5,8},{3},{4},{7}} [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,6,7,8,1,2,5]=>[2,5,3,4,8,6,7,1]=>{{1,2,5,8},{3},{4},{6},{7}} [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,8,6]=>[3,4,1,2,7,8,5,6]=>{{1,3},{2,4},{5,7},{6,8}} [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,8,6]=>[2,4,3,1,7,8,5,6]=>{{1,2,4},{3},{5,7},{6,8}} [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[3,4,1,7,2,5,8,6]=>[4,5,3,1,7,8,2,6]=>{{1,4},{2,5,7},{3},{6,8}} [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,7,8,5,6]=>[3,4,1,2,6,8,7,5]=>{{1,3},{2,4},{5,6,8},{7}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6]=>[2,4,3,1,6,8,7,5]=>{{1,2,4},{3},{5,6,8},{7}} [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,7,2,8,5,6]=>[4,7,3,1,6,8,2,5]=>{{1,4},{2,7},{3},{5,6,8}} [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,7,8,2,5,6]=>[4,5,3,1,6,8,7,2]=>{{1,4},{2,5,6,8},{3},{7}} [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,7,1,8,2,5,6]=>[7,5,3,4,6,8,1,2]=>{{1,7},{2,5,6,8},{3},{4}} [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,7,8,1,2,5,6]=>[2,5,3,4,6,8,7,1]=>{{1,2,5,6,8},{3},{4},{7}} [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,6,8]=>[3,4,1,2,6,7,5,8]=>{{1,3},{2,4},{5,6,7},{8}} [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,7,2,5,6,8]=>[3,5,1,4,6,7,2,8]=>{{1,3},{2,5,6,7},{4},{8}} [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[3,4,7,1,2,5,6,8]=>[2,5,3,4,6,7,1,8]=>{{1,2,5,6,7},{3},{4},{8}} [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,7,6,8]=>[3,4,1,2,5,7,6,8]=>{{1,3},{2,4},{5},{6,7},{8}} [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,7,6,8]=>[3,5,1,4,2,7,6,8]=>{{1,3},{2,5},{4},{6,7},{8}} [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[3,4,5,1,7,2,6,8]=>[5,6,3,4,1,7,2,8]=>{{1,5},{2,6,7},{3},{4},{8}} [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,7,8,6]=>[3,4,1,2,5,8,7,6]=>{{1,3},{2,4},{5},{6,8},{7}} [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,5,7,8,6]=>[2,4,3,1,5,8,7,6]=>{{1,2,4},{3},{5},{6,8},{7}} [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,4,5,2,7,8,6]=>[3,5,1,4,2,8,7,6]=>{{1,3},{2,5},{4},{6,8},{7}} [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[3,4,1,5,2,7,8,6]=>[4,5,3,1,2,8,7,6]=>{{1,4},{2,5},{3},{6,8},{7}} [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[3,4,5,1,2,7,8,6]=>[2,5,3,4,1,8,7,6]=>{{1,2,5},{3},{4},{6,8},{7}} [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,7,2,8,6]=>[5,7,3,4,1,8,2,6]=>{{1,5},{2,7},{3},{4},{6,8}} [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,5,7,1,2,8,6]=>[2,7,3,4,5,8,1,6]=>{{1,2,7},{3},{4},{5},{6,8}} [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[3,4,1,5,7,8,2,6]=>[4,6,3,1,5,8,7,2]=>{{1,4},{2,6,8},{3},{5},{7}} [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[3,4,5,7,1,8,2,6]=>[7,6,3,4,5,8,1,2]=>{{1,7},{2,6,8},{3},{4},{5}} [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,7,8,1,2,6]=>[2,6,3,4,5,8,7,1]=>{{1,2,6,8},{3},{4},{5},{7}} [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,4,2,8,5,6,7]=>[3,4,1,2,6,7,8,5]=>{{1,3},{2,4},{5,6,7,8}} [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[3,4,1,2,8,5,6,7]=>[2,4,3,1,6,7,8,5]=>{{1,2,4},{3},{5,6,7,8}} [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,4,8,2,5,6,7]=>[3,5,1,4,6,7,8,2]=>{{1,3},{2,5,6,7,8},{4}} [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,8,2,5,6,7]=>[4,5,3,1,6,7,8,2]=>{{1,4},{2,5,6,7,8},{3}} [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[3,4,8,1,2,5,6,7]=>[2,5,3,4,6,7,8,1]=>{{1,2,5,6,7,8},{3},{4}} [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,8,6,7]=>[3,4,1,2,5,7,8,6]=>{{1,3},{2,4},{5},{6,7,8}} [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,4,5,8,2,6,7]=>[3,6,1,4,5,7,8,2]=>{{1,3},{2,6,7,8},{4},{5}} [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[3,4,5,1,8,2,6,7]=>[5,6,3,4,1,7,8,2]=>{{1,5},{2,6,7,8},{3},{4}} [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>[2,6,3,4,5,7,8,1]=>{{1,2,6,7,8},{3},{4},{5}} [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,8,7]=>[3,4,1,2,5,6,8,7]=>{{1,3},{2,4},{5},{6},{7,8}} [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,1,5,2,6,8,7]=>[4,5,3,1,2,6,8,7]=>{{1,4},{2,5},{3},{6},{7,8}} [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,8,7]=>[3,6,1,4,5,2,8,7]=>{{1,3},{2,6},{4},{5},{7,8}} [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,8,7]=>[4,6,3,1,5,2,8,7]=>{{1,4},{2,6},{3},{5},{7,8}} [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,8,7]=>[5,6,3,4,1,2,8,7]=>{{1,5},{2,6},{3},{4},{7,8}} [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,4,5,6,8,2,7]=>[3,7,1,4,5,6,8,2]=>{{1,3},{2,7,8},{4},{5},{6}} [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>{{1,3},{2,4},{5},{6},{7},{8}} [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>{{1,2,4},{3},{5},{6},{7},{8}} [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,4,5,2,6,7,8]=>[3,5,1,4,2,6,7,8]=>{{1,3},{2,5},{4},{6},{7},{8}} [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[3,4,5,1,2,6,7,8]=>[2,5,3,4,1,6,7,8]=>{{1,2,5},{3},{4},{6},{7},{8}} [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,7,8]=>[3,6,1,4,5,2,7,8]=>{{1,3},{2,6},{4},{5},{7},{8}} [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,7,8]=>[4,6,3,1,5,2,7,8]=>{{1,4},{2,6},{3},{5},{7},{8}} [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,7,8]=>[5,6,3,4,1,2,7,8]=>{{1,5},{2,6},{3},{4},{7},{8}} [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>[2,6,3,4,5,1,7,8]=>{{1,2,6},{3},{4},{5},{7},{8}} [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,4,5,6,7,2,8]=>[3,7,1,4,5,6,2,8]=>{{1,3},{2,7},{4},{5},{6},{8}} [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[3,4,1,5,6,7,2,8]=>[4,7,3,1,5,6,2,8]=>{{1,4},{2,7},{3},{5},{6},{8}} [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[3,4,5,1,6,7,2,8]=>[5,7,3,4,1,6,2,8]=>{{1,5},{2,7},{3},{4},{6},{8}} [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2,8]=>[6,7,3,4,5,1,2,8]=>{{1,6},{2,7},{3},{4},{5},{8}} [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>[2,7,3,4,5,6,1,8]=>{{1,2,7},{3},{4},{5},{6},{8}} [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,2]=>[3,8,1,4,5,6,7,2]=>{{1,3},{2,8},{4},{5},{6},{7}} [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1,5,6,7,8,2]=>[4,8,3,1,5,6,7,2]=>{{1,4},{2,8},{3},{5},{6},{7}} [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,5,1,6,7,8,2]=>[5,8,3,4,1,6,7,2]=>{{1,5},{2,8},{3},{4},{6},{7}} [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,5,6,1,7,8,2]=>[6,8,3,4,5,1,7,2]=>{{1,6},{2,8},{3},{4},{5},{7}} [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,5,6,7,1,8,2]=>[7,8,3,4,5,6,1,2]=>{{1,7},{2,8},{3},{4},{5},{6}} [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>[2,8,3,4,5,6,7,1]=>{{1,2,8},{3},{4},{5},{6},{7}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7]=>[3,5,1,6,2,4,8,7]=>{{1,3},{2,5},{4,6},{7,8}} [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,8,7]=>[5,4,3,6,1,2,8,7]=>{{1,5},{2,4,6},{3},{7,8}} [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,8,7]=>[2,4,3,6,5,1,8,7]=>{{1,2,4,6},{3},{5},{7,8}} [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,6,8,4,7]=>[3,5,1,7,2,6,8,4]=>{{1,3},{2,5},{4,7,8},{6}} [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,6,8,4,7]=>[2,5,3,7,1,6,8,4]=>{{1,2,5},{3},{4,7,8},{6}} [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,5,6,2,8,4,7]=>[3,6,1,7,5,2,8,4]=>{{1,3},{2,6},{4,7,8},{5}} [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,5,6,1,2,8,4,7]=>[2,6,3,7,5,1,8,4]=>{{1,2,6},{3},{4,7,8},{5}} [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,5,6,8,2,4,7]=>[3,4,1,7,5,6,8,2]=>{{1,3},{2,4,7,8},{5},{6}} [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,5,1,6,8,2,4,7]=>[5,4,3,7,1,6,8,2]=>{{1,5},{2,4,7,8},{3},{6}} [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,5,6,1,8,2,4,7]=>[6,4,3,7,5,1,8,2]=>{{1,6},{2,4,7,8},{3},{5}} [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,5,6,8,1,2,4,7]=>[2,4,3,7,5,6,8,1]=>{{1,2,4,7,8},{3},{5},{6}} [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,7,8]=>[3,5,1,6,2,4,7,8]=>{{1,3},{2,5},{4,6},{7},{8}} [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,6,4,7,8]=>[2,5,3,6,1,4,7,8]=>{{1,2,5},{3},{4,6},{7},{8}} [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,7,8]=>[5,4,3,6,1,2,7,8]=>{{1,5},{2,4,6},{3},{7},{8}} [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,7,8]=>[2,4,3,6,5,1,7,8]=>{{1,2,4,6},{3},{5},{7},{8}} [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,6,7,4,8]=>[2,5,3,7,1,6,4,8]=>{{1,2,5},{3},{4,7},{6},{8}} [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,1,5,6,2,7,4,8]=>[3,6,1,7,5,2,4,8]=>{{1,3},{2,6},{4,7},{5},{8}} [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,5,1,6,2,7,4,8]=>[5,6,3,7,1,2,4,8]=>{{1,5},{2,6},{3},{4,7},{8}} [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,5,6,7,2,4,8]=>[3,4,1,7,5,6,2,8]=>{{1,3},{2,4,7},{5},{6},{8}} [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,5,6,1,7,2,4,8]=>[6,4,3,7,5,1,2,8]=>{{1,6},{2,4,7},{3},{5},{8}} [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,6,7,8,4]=>[2,5,3,8,1,6,7,4]=>{{1,2,5},{3},{4,8},{6},{7}} [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,5,6,2,7,8,4]=>[3,6,1,8,5,2,7,4]=>{{1,3},{2,6},{4,8},{5},{7}} [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,5,1,6,2,7,8,4]=>[5,6,3,8,1,2,7,4]=>{{1,5},{2,6},{3},{4,8},{7}} [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,5,6,1,2,7,8,4]=>[2,6,3,8,5,1,7,4]=>{{1,2,6},{3},{4,8},{5},{7}} [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,5,6,7,2,8,4]=>[3,7,1,8,5,6,2,4]=>{{1,3},{2,7},{4,8},{5},{6}} [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,5,1,6,7,2,8,4]=>[5,7,3,8,1,6,2,4]=>{{1,5},{2,7},{3},{4,8},{6}} [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,5,6,1,7,2,8,4]=>[6,7,3,8,5,1,2,4]=>{{1,6},{2,7},{3},{4,8},{5}} [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,5,6,7,1,2,8,4]=>[2,7,3,8,5,6,1,4]=>{{1,2,7},{3},{4,8},{5},{6}} [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,5,6,7,8,2,4]=>[3,4,1,8,5,6,7,2]=>{{1,3},{2,4,8},{5},{6},{7}} [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,5,1,6,7,8,2,4]=>[5,4,3,8,1,6,7,2]=>{{1,5},{2,4,8},{3},{6},{7}} [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,5,6,1,7,8,2,4]=>[6,4,3,8,5,1,7,2]=>{{1,6},{2,4,8},{3},{5},{7}} [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5,6,7,8,1,2,4]=>[2,4,3,8,5,6,7,1]=>{{1,2,4,8},{3},{5},{6},{7}} [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,8,6]=>[3,5,1,7,2,8,4,6]=>{{1,3},{2,5},{4,7},{6,8}} [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,8,6]=>[2,5,3,7,1,8,4,6]=>{{1,2,5},{3},{4,7},{6,8}} [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,8,6]=>[3,4,1,7,5,8,2,6]=>{{1,3},{2,4,7},{5},{6,8}} [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,8,6]=>[5,4,3,7,1,8,2,6]=>{{1,5},{2,4,7},{3},{6,8}} [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,8,6]=>[2,4,3,7,5,8,1,6]=>{{1,2,4,7},{3},{5},{6,8}} [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,7,8,4,6]=>[3,5,1,6,2,8,7,4]=>{{1,3},{2,5},{4,6,8},{7}} [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,7,8,4,6]=>[2,5,3,6,1,8,7,4]=>{{1,2,5},{3},{4,6,8},{7}} [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,5,1,7,2,8,4,6]=>[5,7,3,6,1,8,2,4]=>{{1,5},{2,7},{3},{4,6,8}} [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,5,7,1,2,8,4,6]=>[2,7,3,6,5,8,1,4]=>{{1,2,7},{3},{4,6,8},{5}} [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,5,7,8,2,4,6]=>[3,4,1,6,5,8,7,2]=>{{1,3},{2,4,6,8},{5},{7}} [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,5,1,7,8,2,4,6]=>[5,4,3,6,1,8,7,2]=>{{1,5},{2,4,6,8},{3},{7}} [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>[2,4,3,6,5,8,7,1]=>{{1,2,4,6,8},{3},{5},{7}} [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,6,8]=>[3,5,1,6,2,7,4,8]=>{{1,3},{2,5},{4,6,7},{8}} [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,6,8]=>[2,5,3,6,1,7,4,8]=>{{1,2,5},{3},{4,6,7},{8}} [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,6,8]=>[3,4,1,6,5,7,2,8]=>{{1,3},{2,4,6,7},{5},{8}} [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,6,8]=>[5,4,3,6,1,7,2,8]=>{{1,5},{2,4,6,7},{3},{8}} [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,6,8]=>[2,4,3,6,5,7,1,8]=>{{1,2,4,6,7},{3},{5},{8}} [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6,8]=>[3,4,1,5,2,7,6,8]=>{{1,3},{2,4,5},{6,7},{8}} [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,7,6,8]=>[2,4,3,5,1,7,6,8]=>{{1,2,4,5},{3},{6,7},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>{{1,2,3},{4,5},{6,7},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>{{1},{2,3},{4,5},{6,7},{8}} [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6,8]=>[1,4,3,5,2,7,6,8]=>{{1},{2,4,5},{3},{6,7},{8}} [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6,8]=>[2,3,1,6,5,7,4,8]=>{{1,2,3},{4,6,7},{5},{8}} [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,6,8]=>[1,3,2,6,5,7,4,8]=>{{1},{2,3},{4,6,7},{5},{8}} [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,7,4,6,8]=>[1,5,3,6,2,7,4,8]=>{{1},{2,5},{3},{4,6,7},{8}} [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6,8]=>[1,4,3,6,5,7,2,8]=>{{1},{2,4,6,7},{3},{5},{8}} [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,7,8,6]=>[3,4,1,5,2,8,7,6]=>{{1,3},{2,4,5},{6,8},{7}} [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,8,6]=>[2,4,3,5,1,8,7,6]=>{{1,2,4,5},{3},{6,8},{7}} [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>{{1},{2,3},{4,5},{6,8},{7}} [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,5,7,4,8,6]=>[2,3,1,7,5,8,4,6]=>{{1,2,3},{4,7},{5},{6,8}} [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,5,7,4,8,6]=>[1,3,2,7,5,8,4,6]=>{{1},{2,3},{4,7},{5},{6,8}} [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>{{1},{2,5},{3},{4,7},{6,8}} [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,8,6]=>[1,4,3,7,5,8,2,6]=>{{1},{2,4,7},{3},{5},{6,8}} [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,5,7,8,4,6]=>[2,3,1,6,5,8,7,4]=>{{1,2,3},{4,6,8},{5},{7}} [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,5,7,8,4,6]=>[1,3,2,6,5,8,7,4]=>{{1},{2,3},{4,6,8},{5},{7}} [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,2,7,8,4,6]=>[1,5,3,6,2,8,7,4]=>{{1},{2,5},{3},{4,6,8},{7}} [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,7,2,8,4,6]=>[1,7,3,6,5,8,2,4]=>{{1},{2,7},{3},{4,6,8},{5}} [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,7,8,2,4,6]=>[1,4,3,6,5,8,7,2]=>{{1},{2,4,6,8},{3},{5},{7}} [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,5,2,8,4,6,7]=>[3,5,1,6,2,7,8,4]=>{{1,3},{2,5},{4,6,7,8}} [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,5,8,2,4,6,7]=>[3,4,1,6,5,7,8,2]=>{{1,3},{2,4,6,7,8},{5}} [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,5,1,8,2,4,6,7]=>[5,4,3,6,1,7,8,2]=>{{1,5},{2,4,6,7,8},{3}} [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,5,8,1,2,4,6,7]=>[2,4,3,6,5,7,8,1]=>{{1,2,4,6,7,8},{3},{5}} [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,8,6,7]=>[2,4,3,5,1,7,8,6]=>{{1,2,4,5},{3},{6,7,8}} [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,7,8,6]=>{{1},{2,3},{4,5},{6,7,8}} [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,5,8,4,6,7]=>[1,3,2,6,5,7,8,4]=>{{1},{2,3},{4,6,7,8},{5}} [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,2,8,4,6,7]=>[1,5,3,6,2,7,8,4]=>{{1},{2,5},{3},{4,6,7,8}} [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>[1,4,3,6,5,7,8,2]=>{{1},{2,4,6,7,8},{3},{5}} [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,8,7]=>[2,4,3,5,1,6,8,7]=>{{1,2,4,5},{3},{6},{7,8}} [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7]=>{{1},{2,3},{4,6},{5},{7,8}} [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,5,6,8,4,7]=>[1,3,2,7,5,6,8,4]=>{{1},{2,3},{4,7,8},{5},{6}} [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7,8]=>[3,4,1,5,2,6,7,8]=>{{1,3},{2,4,5},{6},{7},{8}} [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,7,8]=>[2,4,3,5,1,6,7,8]=>{{1,2,4,5},{3},{6},{7},{8}} [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,5,4,6,7,8]=>[2,3,1,5,4,6,7,8]=>{{1,2,3},{4,5},{6},{7},{8}} [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>{{1},{2,3},{4,5},{6},{7},{8}} [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,2,5,6,4,7,8]=>[2,3,1,6,5,4,7,8]=>{{1,2,3},{4,6},{5},{7},{8}} [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>{{1},{2,3},{4,6},{5},{7},{8}} [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>{{1},{2,5},{3},{4,6},{7},{8}} [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,7,8]=>[1,4,3,6,5,2,7,8]=>{{1},{2,4,6},{3},{5},{7},{8}} [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,5,6,7,4,8]=>[2,3,1,7,5,6,4,8]=>{{1,2,3},{4,7},{5},{6},{8}} [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>{{1},{2,5},{3},{4,7},{6},{8}} [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>{{1},{2,6},{3},{4,7},{5},{8}} [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,5,6,7,8,4]=>[2,3,1,8,5,6,7,4]=>{{1,2,3},{4,8},{5},{6},{7}} [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,5,2,6,7,8,4]=>[1,5,3,8,2,6,7,4]=>{{1},{2,5},{3},{4,8},{6},{7}} [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,5,6,2,7,8,4]=>[1,6,3,8,5,2,7,4]=>{{1},{2,6},{3},{4,8},{5},{7}} [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4]=>{{1},{2,7},{3},{4,8},{5},{6}} [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,5,6,7,8,2,4]=>[1,4,3,8,5,6,7,2]=>{{1},{2,4,8},{3},{5},{6},{7}} [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,8,5]=>[3,6,1,7,8,2,4,5]=>{{1,3},{2,6},{4,7},{5,8}} [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,6,1,2,7,4,8,5]=>[2,6,3,7,8,1,4,5]=>{{1,2,6},{3},{4,7},{5,8}} [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,6,1,7,2,4,8,5]=>[6,4,3,7,8,1,2,5]=>{{1,6},{2,4,7},{3},{5,8}} [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,8,5]=>[2,4,3,7,8,6,1,5]=>{{1,2,4,7},{3},{5,8},{6}} [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,6,1,7,2,8,4,5]=>[6,7,3,5,8,1,2,4]=>{{1,6},{2,7},{3},{4,5,8}} [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>[2,7,3,5,8,6,1,4]=>{{1,2,7},{3},{4,5,8},{6}} [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,6,1,7,8,2,4,5]=>[6,4,3,5,8,1,7,2]=>{{1,6},{2,4,5,8},{3},{7}} [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,6,7,8,1,2,4,5]=>[2,4,3,5,8,6,7,1]=>{{1,2,4,5,8},{3},{6},{7}} [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,6,1,2,7,4,5,8]=>[2,6,3,5,7,1,4,8]=>{{1,2,6},{3},{4,5,7},{8}} [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,6,7,2,4,5,8]=>[3,4,1,5,7,6,2,8]=>{{1,3},{2,4,5,7},{6},{8}} [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,7,5,8]=>[3,4,1,6,7,2,5,8]=>{{1,3},{2,4,6},{5,7},{8}} [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,6,1,2,4,7,5,8]=>[2,4,3,6,7,1,5,8]=>{{1,2,4,6},{3},{5,7},{8}} [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>{{1},{2,3},{4,6},{5,7},{8}} [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,6,7,4,5,8]=>[1,3,2,5,7,6,4,8]=>{{1},{2,3},{4,5,7},{6},{8}} [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,6,7,2,4,5,8]=>[1,4,3,5,7,6,2,8]=>{{1},{2,4,5,7},{3},{6},{8}} [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,7,8,5]=>[2,4,3,6,8,1,7,5]=>{{1,2,4,6},{3},{5,8},{7}} [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,7,8,5]=>[2,3,1,6,8,4,7,5]=>{{1,2,3},{4,6},{5,8},{7}} [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5]=>{{1},{2,3},{4,6},{5,8},{7}} [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,6,7,4,8,5]=>[2,3,1,7,8,6,4,5]=>{{1,2,3},{4,7},{5,8},{6}} [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,3,6,2,7,4,8,5]=>[1,6,3,7,8,2,4,5]=>{{1},{2,6},{3},{4,7},{5,8}} [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,6,7,2,4,8,5]=>[1,4,3,7,8,6,2,5]=>{{1},{2,4,7},{3},{5,8},{6}} [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,2,8,4,5]=>[1,7,3,5,8,6,2,4]=>{{1},{2,7},{3},{4,5,8},{6}} [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,6,7,8,2,4,5]=>[1,4,3,5,8,6,7,2]=>{{1},{2,4,5,8},{3},{6},{7}} [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,6,8,2,4,5,7]=>[3,4,1,5,7,6,8,2]=>{{1,3},{2,4,5,7,8},{6}} [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,6,1,8,2,4,5,7]=>[6,4,3,5,7,1,8,2]=>{{1,6},{2,4,5,7,8},{3}} [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,6,8,1,2,4,5,7]=>[2,4,3,5,7,6,8,1]=>{{1,2,4,5,7,8},{3},{6}} [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,8,5,7]=>[3,4,1,6,7,2,8,5]=>{{1,3},{2,4,6},{5,7,8}} [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,7,4,8,5]=>{{1},{2,3},{4,6},{5,7,8}} [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,8,5,7]=>[1,4,3,6,7,2,8,5]=>{{1},{2,4,6},{3},{5,7,8}} [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,6,8,4,5,7]=>[2,3,1,5,7,6,8,4]=>{{1,2,3},{4,5,7,8},{6}} [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,3,6,2,8,4,5,7]=>[1,6,3,5,7,2,8,4]=>{{1},{2,6},{3},{4,5,7,8}} [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,8,7]=>[3,4,1,5,6,2,8,7]=>{{1,3},{2,4,5,6},{7,8}} [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5,8,7]=>[2,4,3,5,6,1,8,7]=>{{1,2,4,5,6},{3},{7,8}} [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5,8,7]=>[2,3,1,4,6,5,8,7]=>{{1,2,3},{4},{5,6},{7,8}} [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>{{1},{2,3},{4},{5,6},{7,8}} [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,8,7]=>[1,5,3,4,6,2,8,7]=>{{1},{2,5,6},{3},{4},{7,8}} [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,8,5,7]=>[2,3,1,4,7,6,8,5]=>{{1,2,3},{4},{5,7,8},{6}} [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,6,8,5,7]=>[1,3,2,4,7,6,8,5]=>{{1},{2,3},{4},{5,7,8},{6}} [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,7,8]=>[3,4,1,5,6,2,7,8]=>{{1,3},{2,4,5,6},{7},{8}} [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,6,4,5,7,8]=>[2,3,1,5,6,4,7,8]=>{{1,2,3},{4,5,6},{7},{8}} [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,6,4,5,7,8]=>[1,3,2,5,6,4,7,8]=>{{1},{2,3},{4,5,6},{7},{8}} [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]=>{{1},{2,4,5,6},{3},{7},{8}} [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>{{1},{2,3},{4},{5,6},{7},{8}} [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>{{1},{2,3},{4},{5,7},{6},{8}} [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>{{1},{2,4},{3},{5,7},{6},{8}} [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]=>{{1},{2,3},{4},{5,8},{6},{7}} [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>{{1},{2,4},{3},{5,8},{6},{7}} [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,4,6,2,7,8,5]=>[1,6,3,4,8,2,7,5]=>{{1},{2,6},{3},{4},{5,8},{7}} [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>{{1},{2,7},{3},{4},{5,8},{6}} [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4,6,7,8,2,5]=>[1,5,3,4,8,6,7,2]=>{{1},{2,5,8},{3},{4},{6},{7}} [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,1,7,2,8,4,5,6]=>[3,7,1,5,6,8,2,4]=>{{1,3},{2,7},{4,5,6,8}} [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,1,7,8,2,4,5,6]=>[3,4,1,5,6,8,7,2]=>{{1,3},{2,4,5,6,8},{7}} [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,7,8,1,2,4,5,6]=>[2,4,3,5,6,8,7,1]=>{{1,2,4,5,6,8},{3},{7}} [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,1,7,2,4,8,5,6]=>[3,4,1,7,6,8,2,5]=>{{1,3},{2,4,7},{5,6,8}} [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,1,2,7,4,8,5,6]=>[2,3,1,7,6,8,4,5]=>{{1,2,3},{4,7},{5,6,8}} [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,6,8,4,5]=>{{1},{2,3},{4,7},{5,6,8}} [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,3,7,2,4,8,5,6]=>[1,4,3,7,6,8,2,5]=>{{1},{2,4,7},{3},{5,6,8}} [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,3,7,2,8,4,5,6]=>[1,7,3,5,6,8,2,4]=>{{1},{2,7},{3},{4,5,6,8}} [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,8,6]=>[3,4,1,5,7,8,2,6]=>{{1,3},{2,4,5,7},{6,8}} [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,8,6]=>[2,4,3,5,7,8,1,6]=>{{1,2,4,5,7},{3},{6,8}} [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,1,2,7,4,5,8,6]=>[2,3,1,5,7,8,4,6]=>{{1,2,3},{4,5,7},{6,8}} [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,8,6]=>[1,3,2,5,7,8,4,6]=>{{1},{2,3},{4,5,7},{6,8}} [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,8,6]=>[1,4,3,5,7,8,2,6]=>{{1},{2,4,5,7},{3},{6,8}} [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,8,6]=>[2,3,1,4,7,8,5,6]=>{{1,2,3},{4},{5,7},{6,8}} [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>{{1},{2,3},{4},{5,7},{6,8}} [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>{{1},{2,4},{3},{5,7},{6,8}} [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,8,6]=>[1,5,3,4,7,8,2,6]=>{{1},{2,5,7},{3},{4},{6,8}} [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,6,8,7,5]=>{{1},{2,3},{4},{5,6,8},{7}} [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,3,4,2,7,8,5,6]=>[1,4,3,2,6,8,7,5]=>{{1},{2,4},{3},{5,6,8},{7}} [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,6,8]=>[3,4,1,5,6,7,2,8]=>{{1,3},{2,4,5,6,7},{8}} [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,1,2,7,4,5,6,8]=>[2,3,1,5,6,7,4,8]=>{{1,2,3},{4,5,6,7},{8}} [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]=>{{1},{2,3},{4,5,6,7},{8}} [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,6,8]=>[2,3,1,4,6,7,5,8]=>{{1,2,3},{4},{5,6,7},{8}} [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,6,7,5,8]=>{{1},{2,4},{3},{5,6,7},{8}} [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,6,8]=>[1,5,3,4,6,7,2,8]=>{{1},{2,5,6,7},{3},{4},{8}} [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,7,6,8]=>[2,3,1,4,5,7,6,8]=>{{1,2,3},{4},{5},{6,7},{8}} [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>{{1},{2,3},{4},{5},{6,7},{8}} [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>{{1},{2,4},{3},{5},{6,7},{8}} [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>{{1},{2,3},{4},{5},{6,8},{7}} [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>{{1},{2,4},{3},{5},{6,8},{7}} [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>{{1},{2,5},{3},{4},{6,8},{7}} [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>{{1},{2,7},{3},{4},{5},{6,8}} [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,3,4,5,7,8,2,6]=>[1,6,3,4,5,8,7,2]=>{{1},{2,6,8},{3},{4},{5},{7}} [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,1,8,2,4,5,6,7]=>[3,4,1,5,6,7,8,2]=>{{1,3},{2,4,5,6,7,8}} [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,8,1,2,4,5,6,7]=>[2,4,3,5,6,7,8,1]=>{{1,2,4,5,6,7,8},{3}} [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,1,2,8,4,5,6,7]=>[2,3,1,5,6,7,8,4]=>{{1,2,3},{4,5,6,7,8}} [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,3,2,8,4,5,6,7]=>[1,3,2,5,6,7,8,4]=>{{1},{2,3},{4,5,6,7,8}} [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,3,8,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>{{1},{2,4,5,6,7,8},{3}} [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,1,2,4,8,5,6,7]=>[2,3,1,4,6,7,8,5]=>{{1,2,3},{4},{5,6,7,8}} [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,6,7,8,5]=>{{1},{2,3},{4},{5,6,7,8}} [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,6,7,8,5]=>{{1},{2,4},{3},{5,6,7,8}} [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,3,4,8,2,5,6,7]=>[1,5,3,4,6,7,8,2]=>{{1},{2,5,6,7,8},{3},{4}} [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,8,6,7]=>[2,3,1,4,5,7,8,6]=>{{1,2,3},{4},{5},{6,7,8}} [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,7,8,6]=>{{1},{2,3},{4},{5},{6,7,8}} [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,7,8,6]=>{{1},{2,4},{3},{5},{6,7,8}} [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,7,8,6]=>{{1},{2,5},{3},{4},{6,7,8}} [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,8,7]=>[2,3,1,4,5,6,8,7]=>{{1,2,3},{4},{5},{6},{7,8}} [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>{{1},{2,3},{4},{5},{6},{7,8}} [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>{{1},{2,4},{3},{5},{6},{7,8}} [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,6,8,2]=>{{1},{2,7,8},{3},{4},{5},{6}} [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>{{1,2,3},{4},{5},{6},{7},{8}} [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>{{1},{2,3},{4},{5},{6},{7},{8}} [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>{{1},{2,4},{3},{5},{6},{7},{8}} [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>{{1},{2,5},{3},{4},{6},{7},{8}} [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>{{1},{2,6},{3},{4},{5},{7},{8}} [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>{{1},{2,7},{3},{4},{5},{6},{8}} [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>{{1},{2,8},{3},{4},{5},{6},{7}} [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,8,7]=>[4,5,6,1,2,3,8,7]=>{{1,4},{2,5},{3,6},{7,8}} [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,6,3,8,7]=>[2,5,6,4,1,3,8,7]=>{{1,2,5},{3,6},{4},{7,8}} [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,8,7]=>[4,3,6,1,5,2,8,7]=>{{1,4},{2,3,6},{5},{7,8}} [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,8,7]=>[5,3,6,4,1,2,8,7]=>{{1,5},{2,3,6},{4},{7,8}} [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,8,7]=>[2,3,6,4,5,1,8,7]=>{{1,2,3,6},{4},{5},{7,8}} [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,6,8,3,7]=>[4,5,7,1,2,6,8,3]=>{{1,4},{2,5},{3,7,8},{6}} [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,6,8,3,7]=>[2,5,7,4,1,6,8,3]=>{{1,2,5},{3,7,8},{4},{6}} [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[4,5,1,6,2,8,3,7]=>[5,6,7,4,1,2,8,3]=>{{1,5},{2,6},{3,7,8},{4}} [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,6,1,2,8,3,7]=>[2,6,7,4,5,1,8,3]=>{{1,2,6},{3,7,8},{4},{5}} [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[4,1,5,6,8,2,3,7]=>[4,3,7,1,5,6,8,2]=>{{1,4},{2,3,7,8},{5},{6}} [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[4,5,1,6,8,2,3,7]=>[5,3,7,4,1,6,8,2]=>{{1,5},{2,3,7,8},{4},{6}} [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[4,5,6,1,8,2,3,7]=>[6,3,7,4,5,1,8,2]=>{{1,6},{2,3,7,8},{4},{5}} [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>[2,3,7,4,5,6,8,1]=>{{1,2,3,7,8},{4},{5},{6}} [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7,8]=>[4,5,6,1,2,3,7,8]=>{{1,4},{2,5},{3,6},{7},{8}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,7,8]=>[4,3,6,1,5,2,7,8]=>{{1,4},{2,3,6},{5},{7},{8}} [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,7,8]=>[5,3,6,4,1,2,7,8]=>{{1,5},{2,3,6},{4},{7},{8}} [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7,8]=>[2,3,6,4,5,1,7,8]=>{{1,2,3,6},{4},{5},{7},{8}} [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[4,1,5,2,6,7,3,8]=>[4,5,7,1,2,6,3,8]=>{{1,4},{2,5},{3,7},{6},{8}} [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,6,7,3,8]=>[2,5,7,4,1,6,3,8]=>{{1,2,5},{3,7},{4},{6},{8}} [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[4,1,5,6,2,7,3,8]=>[4,6,7,1,5,2,3,8]=>{{1,4},{2,6},{3,7},{5},{8}} [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[4,5,1,6,2,7,3,8]=>[5,6,7,4,1,2,3,8]=>{{1,5},{2,6},{3,7},{4},{8}} [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,6,1,2,7,3,8]=>[2,6,7,4,5,1,3,8]=>{{1,2,6},{3,7},{4},{5},{8}} [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[4,5,1,6,7,2,3,8]=>[5,3,7,4,1,6,2,8]=>{{1,5},{2,3,7},{4},{6},{8}} [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,6,7,8,3]=>[4,5,8,1,2,6,7,3]=>{{1,4},{2,5},{3,8},{6},{7}} [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[4,5,1,6,2,7,8,3]=>[5,6,8,4,1,2,7,3]=>{{1,5},{2,6},{3,8},{4},{7}} [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,6,1,2,7,8,3]=>[2,6,8,4,5,1,7,3]=>{{1,2,6},{3,8},{4},{5},{7}} [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[4,1,5,6,7,2,8,3]=>[4,7,8,1,5,6,2,3]=>{{1,4},{2,7},{3,8},{5},{6}} [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[4,5,1,6,7,2,8,3]=>[5,7,8,4,1,6,2,3]=>{{1,5},{2,7},{3,8},{4},{6}} [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[4,5,6,1,7,2,8,3]=>[6,7,8,4,5,1,2,3]=>{{1,6},{2,7},{3,8},{4},{5}} [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[4,1,5,6,7,8,2,3]=>[4,3,8,1,5,6,7,2]=>{{1,4},{2,3,8},{5},{6},{7}} [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[4,5,1,6,7,8,2,3]=>[5,3,8,4,1,6,7,2]=>{{1,5},{2,3,8},{4},{6},{7}} [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[4,5,6,1,7,8,2,3]=>[6,3,8,4,5,1,7,2]=>{{1,6},{2,3,8},{4},{5},{7}} [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,5,6,7,1,8,2,3]=>[7,3,8,4,5,6,1,2]=>{{1,7},{2,3,8},{4},{5},{6}} [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[2,3,8,4,5,6,7,1]=>{{1,2,3,8},{4},{5},{6},{7}} [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,8,6]=>[4,5,7,1,2,8,3,6]=>{{1,4},{2,5},{3,7},{6,8}} [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,8,6]=>[2,5,7,4,1,8,3,6]=>{{1,2,5},{3,7},{4},{6,8}} [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[4,1,5,7,2,3,8,6]=>[4,3,7,1,5,8,2,6]=>{{1,4},{2,3,7},{5},{6,8}} [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,7,8,3,6]=>[4,5,6,1,2,8,7,3]=>{{1,4},{2,5},{3,6,8},{7}} [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[4,5,1,7,2,8,3,6]=>[5,7,6,4,1,8,2,3]=>{{1,5},{2,7},{3,6,8},{4}} [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>[2,7,6,4,5,8,1,3]=>{{1,2,7},{3,6,8},{4},{5}} [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[4,1,5,7,8,2,3,6]=>[4,3,6,1,5,8,7,2]=>{{1,4},{2,3,6,8},{5},{7}} [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,5,1,7,8,2,3,6]=>[5,3,6,4,1,8,7,2]=>{{1,5},{2,3,6,8},{4},{7}} [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,7,8,1,2,3,6]=>[2,3,6,4,5,8,7,1]=>{{1,2,3,6,8},{4},{5},{7}} [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,6,8]=>[4,5,6,1,2,7,3,8]=>{{1,4},{2,5},{3,6,7},{8}} [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,6,8]=>[2,5,6,4,1,7,3,8]=>{{1,2,5},{3,6,7},{4},{8}} [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[4,1,5,7,2,3,6,8]=>[4,3,6,1,5,7,2,8]=>{{1,4},{2,3,6,7},{5},{8}} [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[4,5,1,7,2,3,6,8]=>[5,3,6,4,1,7,2,8]=>{{1,5},{2,3,6,7},{4},{8}} [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,7,6,8]=>[4,3,5,1,2,7,6,8]=>{{1,4},{2,3,5},{6,7},{8}} [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,7,6,8]=>[2,3,5,4,1,7,6,8]=>{{1,2,3,5},{4},{6,7},{8}} [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,7,6,8]=>[2,4,5,1,3,7,6,8]=>{{1,2,4},{3,5},{6,7},{8}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>{{1},{2,4},{3,5},{6,7},{8}} [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,7,6,8]=>[1,3,5,4,2,7,6,8]=>{{1},{2,3,5},{4},{6,7},{8}} [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,7,2,3,6,8]=>[1,3,6,4,5,7,2,8]=>{{1},{2,3,6,7},{4},{5},{8}} [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,7,8,6]=>[4,3,5,1,2,8,7,6]=>{{1,4},{2,3,5},{6,8},{7}} [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3,7,8,6]=>[2,3,5,4,1,8,7,6]=>{{1,2,3,5},{4},{6,8},{7}} [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3,7,8,6]=>[2,4,5,1,3,8,7,6]=>{{1,2,4},{3,5},{6,8},{7}} [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6]=>{{1},{2,4},{3,7},{5},{6,8}} [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>{{1},{2,5},{3,7},{4},{6,8}} [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,8,6]=>[1,3,7,4,5,8,2,6]=>{{1},{2,3,7},{4},{5},{6,8}} [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,4,5,2,7,8,3,6]=>[1,5,6,4,2,8,7,3]=>{{1},{2,5},{3,6,8},{4},{7}} [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,7,8,2,3,6]=>[1,3,6,4,5,8,7,2]=>{{1},{2,3,6,8},{4},{5},{7}} [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,8,3,6,7]=>[4,5,6,1,2,7,8,3]=>{{1,4},{2,5},{3,6,7,8}} [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,8,3,6,7]=>[2,5,6,4,1,7,8,3]=>{{1,2,5},{3,6,7,8},{4}} [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[4,1,5,8,2,3,6,7]=>[4,3,6,1,5,7,8,2]=>{{1,4},{2,3,6,7,8},{5}} [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,8,1,2,3,6,7]=>[2,3,6,4,5,7,8,1]=>{{1,2,3,6,7,8},{4},{5}} [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,8,6,7]=>[2,4,5,1,3,7,8,6]=>{{1,2,4},{3,5},{6,7,8}} [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,7,8,6]=>{{1},{2,4},{3,5},{6,7,8}} [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,8,6,7]=>[1,3,5,4,2,7,8,6]=>{{1},{2,3,5},{4},{6,7,8}} [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,8,2,3,6,7]=>[1,3,6,4,5,7,8,2]=>{{1},{2,3,6,7,8},{4},{5}} [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,8,7]=>[2,3,5,4,1,6,8,7]=>{{1,2,3,5},{4},{6},{7,8}} [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,6,2,3,8,7]=>[1,3,6,4,5,2,8,7]=>{{1},{2,3,6},{4},{5},{7,8}} [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,5,6,8,3,7]=>[2,4,7,1,5,6,8,3]=>{{1,2,4},{3,7,8},{5},{6}} [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,5,6,8,3,7]=>[1,4,7,2,5,6,8,3]=>{{1},{2,4},{3,7,8},{5},{6}} [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,5,2,6,8,3,7]=>[1,5,7,4,2,6,8,3]=>{{1},{2,5},{3,7,8},{4},{6}} [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,5,6,2,8,3,7]=>[1,6,7,4,5,2,8,3]=>{{1},{2,6},{3,7,8},{4},{5}} [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,5,6,8,2,3,7]=>[1,3,7,4,5,6,8,2]=>{{1},{2,3,7,8},{4},{5},{6}} [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7,8]=>[4,3,5,1,2,6,7,8]=>{{1,4},{2,3,5},{6},{7},{8}} [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,7,8]=>[2,3,5,4,1,6,7,8]=>{{1,2,3,5},{4},{6},{7},{8}} [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6,7,8]=>[2,4,5,1,3,6,7,8]=>{{1,2,4},{3,5},{6},{7},{8}} [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>{{1},{2,4},{3,5},{6},{7},{8}} [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,7,8]=>[2,4,6,1,5,3,7,8]=>{{1,2,4},{3,6},{5},{7},{8}} [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,5,6,3,7,8]=>[1,4,6,2,5,3,7,8]=>{{1},{2,4},{3,6},{5},{7},{8}} [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>{{1},{2,5},{3,6},{4},{7},{8}} [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>{{1},{2,4},{3,7},{5},{6},{8}} [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,5,2,6,7,3,8]=>[1,5,7,4,2,6,3,8]=>{{1},{2,5},{3,7},{4},{6},{8}} [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>{{1},{2,6},{3,7},{4},{5},{8}} [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,5,6,7,2,3,8]=>[1,3,7,4,5,6,2,8]=>{{1},{2,3,7},{4},{5},{6},{8}} [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,5,6,7,8,3]=>[2,4,8,1,5,6,7,3]=>{{1,2,4},{3,8},{5},{6},{7}} [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>{{1},{2,4},{3,8},{5},{6},{7}} [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>{{1},{2,5},{3,8},{4},{6},{7}} [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,4,5,6,2,7,8,3]=>[1,6,8,4,5,2,7,3]=>{{1},{2,6},{3,8},{4},{5},{7}} [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,4,5,6,7,2,8,3]=>[1,7,8,4,5,6,2,3]=>{{1},{2,7},{3,8},{4},{5},{6}} [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,5,6,7,8,2,3]=>[1,3,8,4,5,6,7,2]=>{{1},{2,3,8},{4},{5},{6},{7}} [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,8,5]=>[4,6,7,1,8,2,3,5]=>{{1,4},{2,6},{3,7},{5,8}} [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,6,1,2,7,3,8,5]=>[2,6,7,4,8,1,3,5]=>{{1,2,6},{3,7},{4},{5,8}} [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,6,1,7,2,3,8,5]=>[6,3,7,4,8,1,2,5]=>{{1,6},{2,3,7},{4},{5,8}} [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,6,7,1,2,8,3,5]=>[2,7,5,4,8,6,1,3]=>{{1,2,7},{3,5,8},{4},{6}} [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,6,7,8,2,3,5]=>[4,3,5,1,8,6,7,2]=>{{1,4},{2,3,5,8},{6},{7}} [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,6,1,7,8,2,3,5]=>[6,3,5,4,8,1,7,2]=>{{1,6},{2,3,5,8},{4},{7}} [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,6,7,1,8,2,3,5]=>[7,3,5,4,8,6,1,2]=>{{1,7},{2,3,5,8},{4},{6}} [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>[2,3,5,4,8,6,7,1]=>{{1,2,3,5,8},{4},{6},{7}} [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,5,8]=>[4,6,5,1,7,2,3,8]=>{{1,4},{2,6},{3,5,7},{8}} [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,6,1,2,7,3,5,8]=>[2,6,5,4,7,1,3,8]=>{{1,2,6},{3,5,7},{4},{8}} [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,6,1,7,2,3,5,8]=>[6,3,5,4,7,1,2,8]=>{{1,6},{2,3,5,7},{4},{8}} [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,7,5,8]=>[4,3,6,1,7,2,5,8]=>{{1,4},{2,3,6},{5,7},{8}} [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,7,5,8]=>[2,3,6,4,7,1,5,8]=>{{1,2,3,6},{4},{5,7},{8}} [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>{{1},{2,4},{3,6},{5,7},{8}} [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,7,5,8]=>[1,3,6,4,7,2,5,8]=>{{1},{2,3,6},{4},{5,7},{8}} [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,6,7,3,5,8]=>[2,4,5,1,7,6,3,8]=>{{1,2,4},{3,5,7},{6},{8}} [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,6,2,7,3,5,8]=>[1,6,5,4,7,2,3,8]=>{{1},{2,6},{3,5,7},{4},{8}} [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,6,7,2,3,5,8]=>[1,3,5,4,7,6,2,8]=>{{1},{2,3,5,7},{4},{6},{8}} [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,7,8,5]=>[4,3,6,1,8,2,7,5]=>{{1,4},{2,3,6},{5,8},{7}} [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>{{1},{2,4},{3,6},{5,8},{7}} [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,7,8,5]=>[1,3,6,4,8,2,7,5]=>{{1},{2,3,6},{4},{5,8},{7}} [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,6,7,3,8,5]=>[1,4,7,2,8,6,3,5]=>{{1},{2,4},{3,7},{5,8},{6}} [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5]=>{{1},{2,6},{3,7},{4},{5,8}} [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,6,7,2,3,8,5]=>[1,3,7,4,8,6,2,5]=>{{1},{2,3,7},{4},{5,8},{6}} [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,6,7,8,3,5]=>[1,4,5,2,8,6,7,3]=>{{1},{2,4},{3,5,8},{6},{7}} [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,8,3,5]=>[1,6,5,4,8,2,7,3]=>{{1},{2,6},{3,5,8},{4},{7}} [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,8,3,5]=>[1,7,5,4,8,6,2,3]=>{{1},{2,7},{3,5,8},{4},{6}} [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,6,1,2,8,3,5,7]=>[2,6,5,4,7,1,8,3]=>{{1,2,6},{3,5,7,8},{4}} [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,6,8,2,3,5,7]=>[4,3,5,1,7,6,8,2]=>{{1,4},{2,3,5,7,8},{6}} [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,6,1,8,2,3,5,7]=>[6,3,5,4,7,1,8,2]=>{{1,6},{2,3,5,7,8},{4}} [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,6,8,1,2,3,5,7]=>[2,3,5,4,7,6,8,1]=>{{1,2,3,5,7,8},{4},{6}} [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,8,5,7]=>[4,3,6,1,7,2,8,5]=>{{1,4},{2,3,6},{5,7,8}} [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,8,5,7]=>[2,4,6,1,7,3,8,5]=>{{1,2,4},{3,6},{5,7,8}} [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,7,3,8,5]=>{{1},{2,4},{3,6},{5,7,8}} [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,8,5,7]=>[1,3,6,4,7,2,8,5]=>{{1},{2,3,6},{4},{5,7,8}} [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,6,8,2,3,5,7]=>[1,3,5,4,7,6,8,2]=>{{1},{2,3,5,7,8},{4},{6}} [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,8,7]=>[4,3,5,1,6,2,8,7]=>{{1,4},{2,3,5,6},{7,8}} [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,8,7]=>[2,4,5,1,6,3,8,7]=>{{1,2,4},{3,5,6},{7,8}} [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,8,7]=>[1,4,5,2,6,3,8,7]=>{{1},{2,4},{3,5,6},{7,8}} [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>{{1,2,3,4},{5,6},{7,8}} [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>{{1},{2,3,4},{5,6},{7,8}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>{{1},{2},{3,4},{5,6},{7,8}} [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,8,5,7]=>[2,3,4,1,7,6,8,5]=>{{1,2,3,4},{5,7,8},{6}} [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,6,8,5,7]=>[1,3,4,2,7,6,8,5]=>{{1},{2,3,4},{5,7,8},{6}} [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,6,8,5]=>{{1},{2},{3,4},{5,7,8},{6}} [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,6,3,8,5,7]=>[1,2,6,4,7,3,8,5]=>{{1},{2},{3,6},{4},{5,7,8}} [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,6,8,3,5,7]=>[1,2,5,4,7,6,8,3]=>{{1},{2},{3,5,7,8},{4},{6}} [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,7,8]=>[4,3,5,1,6,2,7,8]=>{{1,4},{2,3,5,6},{7},{8}} [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,7,8]=>[2,3,5,4,6,1,7,8]=>{{1,2,3,5,6},{4},{7},{8}} [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,7,8]=>[2,4,5,1,6,3,7,8]=>{{1,2,4},{3,5,6},{7},{8}} [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,7,8]=>[1,4,5,2,6,3,7,8]=>{{1},{2,4},{3,5,6},{7},{8}} [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>{{1,2,3,4},{5,6},{7},{8}} [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>{{1},{2},{3,4},{5,6},{7},{8}} [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,6,7,5,8]=>[2,3,4,1,7,6,5,8]=>{{1,2,3,4},{5,7},{6},{8}} [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>{{1},{2},{3,6},{4},{5,7},{8}} [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,6,7,8,5]=>[2,3,4,1,8,6,7,5]=>{{1,2,3,4},{5,8},{6},{7}} [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,6,7,8,5]=>[1,3,4,2,8,6,7,5]=>{{1},{2,3,4},{5,8},{6},{7}} [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>{{1},{2},{3,4},{5,8},{6},{7}} [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>{{1},{2},{3,6},{4},{5,8},{7}} [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>{{1},{2},{3,7},{4},{5,8},{6}} [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,6,7,8,3,5]=>[1,2,5,4,8,6,7,3]=>{{1},{2},{3,5,8},{4},{6},{7}} [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,7,2,8,3,5,6]=>[4,7,5,1,6,8,2,3]=>{{1,4},{2,7},{3,5,6,8}} [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,7,8,2,3,5,6]=>[4,3,5,1,6,8,7,2]=>{{1,4},{2,3,5,6,8},{7}} [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,7,1,8,2,3,5,6]=>[7,3,5,4,6,8,1,2]=>{{1,7},{2,3,5,6,8},{4}} [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,7,2,3,8,5,6]=>[4,3,7,1,6,8,2,5]=>{{1,4},{2,3,7},{5,6,8}} [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,2,7,3,8,5,6]=>[2,4,7,1,6,8,3,5]=>{{1,2,4},{3,7},{5,6,8}} [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,6,8,3,5]=>{{1},{2,4},{3,7},{5,6,8}} [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,7,2,3,8,5,6]=>[1,3,7,4,6,8,2,5]=>{{1},{2,3,7},{4},{5,6,8}} [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,7,8,3,5,6]=>[2,4,5,1,6,8,7,3]=>{{1,2,4},{3,5,6,8},{7}} [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,7,8,3,5,6]=>[1,4,5,2,6,8,7,3]=>{{1},{2,4},{3,5,6,8},{7}} [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,7,2,3,5,8,6]=>[4,3,5,1,7,8,2,6]=>{{1,4},{2,3,5,7},{6,8}} [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,8,6]=>[2,4,5,1,7,8,3,6]=>{{1,2,4},{3,5,7},{6,8}} [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,8,6]=>[1,4,5,2,7,8,3,6]=>{{1},{2,4},{3,5,7},{6,8}} [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,8,6]=>[2,3,4,1,7,8,5,6]=>{{1,2,3,4},{5,7},{6,8}} [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,8,6]=>[1,3,4,2,7,8,5,6]=>{{1},{2,3,4},{5,7},{6,8}} [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>{{1},{2},{3,4},{5,7},{6,8}} [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,4,7,3,5,8,6]=>[1,2,5,4,7,8,3,6]=>{{1},{2},{3,5,7},{4},{6,8}} [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,7,8,5,6]=>[2,3,4,1,6,8,7,5]=>{{1,2,3,4},{5,6,8},{7}} [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,7,8,5,6]=>[1,3,4,2,6,8,7,5]=>{{1},{2,3,4},{5,6,8},{7}} [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,6,8,7,5]=>{{1},{2},{3,4},{5,6,8},{7}} [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,4,7,8,3,5,6]=>[1,2,5,4,6,8,7,3]=>{{1},{2},{3,5,6,8},{4},{7}} [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,7,1,2,3,5,6,8]=>[2,3,5,4,6,7,1,8]=>{{1,2,3,5,6,7},{4},{8}} [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,6,8]=>[1,4,5,2,6,7,3,8]=>{{1},{2,4},{3,5,6,7},{8}} [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,6,8]=>[2,3,4,1,6,7,5,8]=>{{1,2,3,4},{5,6,7},{8}} [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>{{1},{2,3,4},{5,6,7},{8}} [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,6,7,5,8]=>{{1},{2},{3,4},{5,6,7},{8}} [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,4,7,3,5,6,8]=>[1,2,5,4,6,7,3,8]=>{{1},{2},{3,5,6,7},{4},{8}} [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,7,6,8]=>[2,3,4,1,5,7,6,8]=>{{1,2,3,4},{5},{6,7},{8}} [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>{{1},{2,3,4},{5},{6,7},{8}} [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>{{1},{2},{3,4},{5},{6,7},{8}} [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,7,8,6]=>[2,3,4,1,5,8,7,6]=>{{1,2,3,4},{5},{6,8},{7}} [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>{{1},{2},{3,4},{5},{6,8},{7}} [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>{{1},{2},{3,5},{4},{6,8},{7}} [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6]=>{{1},{2},{3,7},{4},{5},{6,8}} [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[4,1,8,2,3,5,6,7]=>[4,3,5,1,6,7,8,2]=>{{1,4},{2,3,5,6,7,8}} [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[4,8,1,2,3,5,6,7]=>[2,3,5,4,6,7,8,1]=>{{1,2,3,5,6,7,8},{4}} [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[4,1,2,8,3,5,6,7]=>[2,4,5,1,6,7,8,3]=>{{1,2,4},{3,5,6,7,8}} [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,4,2,8,3,5,6,7]=>[1,4,5,2,6,7,8,3]=>{{1},{2,4},{3,5,6,7,8}} [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[4,1,2,3,8,5,6,7]=>[2,3,4,1,6,7,8,5]=>{{1,2,3,4},{5,6,7,8}} [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,4,2,3,8,5,6,7]=>[1,3,4,2,6,7,8,5]=>{{1},{2,3,4},{5,6,7,8}} [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,6,7,8,5]=>{{1},{2},{3,4},{5,6,7,8}} [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,4,8,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>{{1},{2},{3,5,6,7,8},{4}} [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,8,6,7]=>[2,3,4,1,5,7,8,6]=>{{1,2,3,4},{5},{6,7,8}} [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,8,6,7]=>[1,3,4,2,5,7,8,6]=>{{1},{2,3,4},{5},{6,7,8}} [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,7,8,6]=>{{1},{2},{3,4},{5},{6,7,8}} [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,7,8,6]=>{{1},{2},{3,5},{4},{6,7,8}} [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,4,5,8,3,6,7]=>[1,2,6,4,5,7,8,3]=>{{1},{2},{3,6,7,8},{4},{5}} [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,8,7]=>[2,3,4,1,5,6,8,7]=>{{1,2,3,4},{5},{6},{7,8}} [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>{{1},{2,3,4},{5},{6},{7,8}} [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>{{1},{2},{3,4},{5},{6},{7,8}} [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,6,8,7]=>[1,2,5,4,3,6,8,7]=>{{1},{2},{3,5},{4},{6},{7,8}} [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,4,5,6,8,3,7]=>[1,2,7,4,5,6,8,3]=>{{1},{2},{3,7,8},{4},{5},{6}} [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}} [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>{{1},{2,3,4},{5},{6},{7},{8}} [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>{{1},{2},{3,4},{5},{6},{7},{8}} [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>{{1},{2},{3,5},{4},{6},{7},{8}} [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>{{1},{2},{3,6},{4},{5},{7},{8}} [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>{{1},{2},{3,8},{4},{5},{6},{7}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}} [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[5,6,1,2,7,3,8,4]=>[2,6,7,8,5,1,3,4]=>{{1,2,6},{3,7},{4,8},{5}} [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[5,1,6,7,2,3,8,4]=>[5,3,7,8,1,6,2,4]=>{{1,5},{2,3,7},{4,8},{6}} [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[5,6,1,7,2,3,8,4]=>[6,3,7,8,5,1,2,4]=>{{1,6},{2,3,7},{4,8},{5}} [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,8,4]=>[2,3,7,8,5,6,1,4]=>{{1,2,3,7},{4,8},{5},{6}} [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[5,1,6,2,7,8,3,4]=>[5,6,4,8,1,2,7,3]=>{{1,5},{2,6},{3,4,8},{7}} [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[5,6,1,2,7,8,3,4]=>[2,6,4,8,5,1,7,3]=>{{1,2,6},{3,4,8},{5},{7}} [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[5,1,6,7,2,8,3,4]=>[5,7,4,8,1,6,2,3]=>{{1,5},{2,7},{3,4,8},{6}} [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[5,6,1,7,2,8,3,4]=>[6,7,4,8,5,1,2,3]=>{{1,6},{2,7},{3,4,8},{5}} [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,7,1,2,8,3,4]=>[2,7,4,8,5,6,1,3]=>{{1,2,7},{3,4,8},{5},{6}} [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,1,6,7,8,2,3,4]=>[5,3,4,8,1,6,7,2]=>{{1,5},{2,3,4,8},{6},{7}} [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[5,6,1,7,8,2,3,4]=>[6,3,4,8,5,1,7,2]=>{{1,6},{2,3,4,8},{5},{7}} [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,6,7,1,8,2,3,4]=>[7,3,4,8,5,6,1,2]=>{{1,7},{2,3,4,8},{5},{6}} [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[2,3,4,8,5,6,7,1]=>{{1,2,3,4,8},{5},{6},{7}} [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,4,8]=>[5,6,4,7,1,2,3,8]=>{{1,5},{2,6},{3,4,7},{8}} [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4,8]=>[2,3,4,7,5,6,1,8]=>{{1,2,3,4,7},{5},{6},{8}} [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,7,4,8]=>[5,3,6,7,1,2,4,8]=>{{1,5},{2,3,6},{4,7},{8}} [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>{{1},{2,5},{3,6},{4,7},{8}} [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,7,4,8]=>[1,3,6,7,5,2,4,8]=>{{1},{2,3,6},{4,7},{5},{8}} [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,5,2,6,7,3,4,8]=>[1,5,4,7,2,6,3,8]=>{{1},{2,5},{3,4,7},{6},{8}} [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[1,5,6,2,7,3,4,8]=>[1,6,4,7,5,2,3,8]=>{{1},{2,6},{3,4,7},{5},{8}} [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,7,8,4]=>[2,3,6,8,5,1,7,4]=>{{1,2,3,6},{4,8},{5},{7}} [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>{{1},{2,5},{3,6},{4,8},{7}} [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,7,8,4]=>[1,3,6,8,5,2,7,4]=>{{1},{2,3,6},{4,8},{5},{7}} [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[5,1,2,6,7,3,8,4]=>[2,5,7,8,1,6,3,4]=>{{1,2,5},{3,7},{4,8},{6}} [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>{{1},{2,5},{3,7},{4,8},{6}} [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>{{1},{2,6},{3,7},{4,8},{5}} [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,5,6,7,2,3,8,4]=>[1,3,7,8,5,6,2,4]=>{{1},{2,3,7},{4,8},{5},{6}} [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,5,2,6,7,8,3,4]=>[1,5,4,8,2,6,7,3]=>{{1},{2,5},{3,4,8},{6},{7}} [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,5,6,2,7,8,3,4]=>[1,6,4,8,5,2,7,3]=>{{1},{2,6},{3,4,8},{5},{7}} [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,5,6,7,2,8,3,4]=>[1,7,4,8,5,6,2,3]=>{{1},{2,7},{3,4,8},{5},{6}} [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,5,6,7,8,2,3,4]=>[1,3,4,8,5,6,7,2]=>{{1},{2,3,4,8},{5},{6},{7}} [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,1,6,2,8,3,4,7]=>[5,6,4,7,1,2,8,3]=>{{1,5},{2,6},{3,4,7,8}} [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,8,1,2,3,4,7]=>[2,3,4,7,5,6,8,1]=>{{1,2,3,4,7,8},{5},{6}} [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,8,4,7]=>[5,3,6,7,1,2,8,4]=>{{1,5},{2,3,6},{4,7,8}} [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,6,1,2,3,8,4,7]=>[2,3,6,7,5,1,8,4]=>{{1,2,3,6},{4,7,8},{5}} [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[5,1,2,6,3,8,4,7]=>[2,5,6,7,1,3,8,4]=>{{1,2,5},{3,6},{4,7,8}} [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,8,4,7]=>[1,5,6,7,2,3,8,4]=>{{1},{2,5},{3,6},{4,7,8}} [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,8,4,7]=>[1,3,6,7,5,2,8,4]=>{{1},{2,3,6},{4,7,8},{5}} [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,5,2,6,8,3,4,7]=>[1,5,4,7,2,6,8,3]=>{{1},{2,5},{3,4,7,8},{6}} [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,8,7]=>[2,5,4,6,1,3,8,7]=>{{1,2,5},{3,4,6},{7,8}} [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,6,4,8,7]=>[2,3,5,6,1,4,8,7]=>{{1,2,3,5},{4,6},{7,8}} [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,8,7]=>[1,3,5,6,2,4,8,7]=>{{1},{2,3,5},{4,6},{7,8}} [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,8,7]=>[1,2,5,6,3,4,8,7]=>{{1},{2},{3,5},{4,6},{7,8}} [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,6,8,4,7]=>[1,2,5,7,3,6,8,4]=>{{1},{2},{3,5},{4,7,8},{6}} [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,5,6,3,8,4,7]=>[1,2,6,7,5,3,8,4]=>{{1},{2},{3,6},{4,7,8},{5}} [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,5,6,8,3,4,7]=>[1,2,4,7,5,6,8,3]=>{{1},{2},{3,4,7,8},{5},{6}} [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4,7,8]=>[2,3,4,6,5,1,7,8]=>{{1,2,3,4,6},{5},{7},{8}} [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,7,8]=>[2,5,4,6,1,3,7,8]=>{{1,2,5},{3,4,6},{7},{8}} [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,7,8]=>[1,5,4,6,2,3,7,8]=>{{1},{2,5},{3,4,6},{7},{8}} [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,6,4,7,8]=>[2,3,5,6,1,4,7,8]=>{{1,2,3,5},{4,6},{7},{8}} [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,7,8]=>[1,3,5,6,2,4,7,8]=>{{1},{2,3,5},{4,6},{7},{8}} [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>{{1},{2},{3,5},{4,6},{7},{8}} [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,5,6,3,4,7,8]=>[1,2,4,6,5,3,7,8]=>{{1},{2},{3,4,6},{5},{7},{8}} [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,6,7,4,8]=>[1,3,5,7,2,6,4,8]=>{{1},{2,3,5},{4,7},{6},{8}} [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,6,7,4,8]=>[1,2,5,7,3,6,4,8]=>{{1},{2},{3,5},{4,7},{6},{8}} [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>{{1},{2},{3,6},{4,7},{5},{8}} [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,6,7,8,4]=>[2,3,5,8,1,6,7,4]=>{{1,2,3,5},{4,8},{6},{7}} [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,6,7,8,4]=>[1,3,5,8,2,6,7,4]=>{{1},{2,3,5},{4,8},{6},{7}} [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>{{1},{2},{3,5},{4,8},{6},{7}} [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>{{1},{2},{3,6},{4,8},{5},{7}} [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>{{1},{2},{3,7},{4,8},{5},{6}} [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,5,6,7,8,3,4]=>[1,2,4,8,5,6,7,3]=>{{1},{2},{3,4,8},{5},{6},{7}} [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,7,2,8,3,4,6]=>[5,7,4,6,1,8,2,3]=>{{1,5},{2,7},{3,4,6,8}} [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,7,1,2,8,3,4,6]=>[2,7,4,6,5,8,1,3]=>{{1,2,7},{3,4,6,8},{5}} [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,7,8,1,2,3,4,6]=>[2,3,4,6,5,8,7,1]=>{{1,2,3,4,6,8},{5},{7}} [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[5,7,1,2,3,8,4,6]=>[2,3,7,6,5,8,1,4]=>{{1,2,3,7},{4,6,8},{5}} [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,7,3,8,4,6]=>[1,5,7,6,2,8,3,4]=>{{1},{2,5},{3,7},{4,6,8}} [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,7,2,3,8,4,6]=>[1,3,7,6,5,8,2,4]=>{{1},{2,3,7},{4,6,8},{5}} [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,7,2,8,3,4,6]=>[1,7,4,6,5,8,2,3]=>{{1},{2,7},{3,4,6,8},{5}} [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,8,6]=>[2,3,4,7,5,8,1,6]=>{{1,2,3,4,7},{5},{6,8}} [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,8,6]=>[2,5,4,7,1,8,3,6]=>{{1,2,5},{3,4,7},{6,8}} [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,8,6]=>[1,5,4,7,2,8,3,6]=>{{1},{2,5},{3,4,7},{6,8}} [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,7,2,3,4,8,6]=>[1,3,4,7,5,8,2,6]=>{{1},{2,3,4,7},{5},{6,8}} [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,7,4,8,6]=>[2,3,5,7,1,8,4,6]=>{{1,2,3,5},{4,7},{6,8}} [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,8,6]=>[1,3,5,7,2,8,4,6]=>{{1},{2,3,5},{4,7},{6,8}} [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>{{1},{2},{3,5},{4,7},{6,8}} [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,7,8,4,6]=>[1,2,5,6,3,8,7,4]=>{{1},{2},{3,5},{4,6,8},{7}} [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,5,7,3,8,4,6]=>[1,2,7,6,5,8,3,4]=>{{1},{2},{3,7},{4,6,8},{5}} [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,5,7,8,3,4,6]=>[1,2,4,6,5,8,7,3]=>{{1},{2},{3,4,6,8},{5},{7}} [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,6,8]=>[2,3,4,6,5,7,1,8]=>{{1,2,3,4,6,7},{5},{8}} [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,6,8]=>[2,5,4,6,1,7,3,8]=>{{1,2,5},{3,4,6,7},{8}} [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,6,8]=>[1,5,4,6,2,7,3,8]=>{{1},{2,5},{3,4,6,7},{8}} [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,6,8]=>[1,3,5,6,2,7,4,8]=>{{1},{2,3,5},{4,6,7},{8}} [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,6,8]=>[1,2,5,6,3,7,4,8]=>{{1},{2},{3,5},{4,6,7},{8}} [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,7,6,8]=>[2,3,4,5,1,7,6,8]=>{{1,2,3,4,5},{6,7},{8}} [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,7,6,8]=>[1,3,4,5,2,7,6,8]=>{{1},{2,3,4,5},{6,7},{8}} [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,7,6,8]=>[1,2,4,5,3,7,6,8]=>{{1},{2},{3,4,5},{6,7},{8}} [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>{{1},{2},{3},{4,5},{6,7},{8}} [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,7,4,6,8]=>[1,2,3,6,5,7,4,8]=>{{1},{2},{3},{4,6,7},{5},{8}} [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,7,8,6]=>[2,3,4,5,1,8,7,6]=>{{1,2,3,4,5},{6,8},{7}} [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,7,8,6]=>[1,3,4,5,2,8,7,6]=>{{1},{2,3,4,5},{6,8},{7}} [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,7,8,6]=>[1,2,4,5,3,8,7,6]=>{{1},{2},{3,4,5},{6,8},{7}} [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>{{1},{2},{3},{4,5},{6,8},{7}} [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>{{1},{2},{3},{4,7},{5},{6,8}} [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,5,7,8,4,6]=>[1,2,3,6,5,8,7,4]=>{{1},{2},{3},{4,6,8},{5},{7}} [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[5,8,1,2,3,4,6,7]=>[2,3,4,6,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}} [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,8,3,4,6,7]=>[2,5,4,6,1,7,8,3]=>{{1,2,5},{3,4,6,7,8}} [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,2,8,3,4,6,7]=>[1,5,4,6,2,7,8,3]=>{{1},{2,5},{3,4,6,7,8}} [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,8,2,3,4,6,7]=>[1,3,4,6,5,7,8,2]=>{{1},{2,3,4,6,7,8},{5}} [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,3,8,4,6,7]=>[2,3,5,6,1,7,8,4]=>{{1,2,3,5},{4,6,7,8}} [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,2,3,8,4,6,7]=>[1,3,5,6,2,7,8,4]=>{{1},{2,3,5},{4,6,7,8}} [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,5,3,8,4,6,7]=>[1,2,5,6,3,7,8,4]=>{{1},{2},{3,5},{4,6,7,8}} [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,8,6,7]=>[2,3,4,5,1,7,8,6]=>{{1,2,3,4,5},{6,7,8}} [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,8,6,7]=>[1,3,4,5,2,7,8,6]=>{{1},{2,3,4,5},{6,7,8}} [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,8,6,7]=>[1,2,4,5,3,7,8,6]=>{{1},{2},{3,4,5},{6,7,8}} [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,7,8,6]=>{{1},{2},{3},{4,5},{6,7,8}} [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,5,8,4,6,7]=>[1,2,3,6,5,7,8,4]=>{{1},{2},{3},{4,6,7,8},{5}} [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,8,7]=>[2,3,4,5,1,6,8,7]=>{{1,2,3,4,5},{6},{7,8}} [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>{{1},{2},{3},{4,5},{6},{7,8}} [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>{{1},{2},{3},{4,6},{5},{7,8}} [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,5,6,8,4,7]=>[1,2,3,7,5,6,8,4]=>{{1},{2},{3},{4,7,8},{5},{6}} [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}} [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]=>{{1},{2,3,4,5},{6},{7},{8}} [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>{{1},{2},{3},{4,5},{6},{7},{8}} [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>{{1},{2},{3},{4,6},{5},{7},{8}} [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>{{1},{2},{3},{4,7},{5},{6},{8}} [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>{{1},{2},{3},{4,8},{5},{6},{7}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,7,2,8,3,4,5]=>[6,7,4,5,8,1,2,3]=>{{1,6},{2,7},{3,4,5,8}} [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[6,1,7,8,2,3,4,5]=>[6,3,4,5,8,1,7,2]=>{{1,6},{2,3,4,5,8},{7}} [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[6,7,1,8,2,3,4,5]=>[7,3,4,5,8,6,1,2]=>{{1,7},{2,3,4,5,8},{6}} [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[2,3,4,5,8,6,7,1]=>{{1,2,3,4,5,8},{6},{7}} [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[6,7,1,2,3,8,4,5]=>[2,3,7,5,8,6,1,4]=>{{1,2,3,7},{4,5,8},{6}} [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[6,1,2,7,3,8,4,5]=>[2,6,7,5,8,1,3,4]=>{{1,2,6},{3,7},{4,5,8}} [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,6,2,7,3,8,4,5]=>[1,6,7,5,8,2,3,4]=>{{1},{2,6},{3,7},{4,5,8}} [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,6,7,2,3,8,4,5]=>[1,3,7,5,8,6,2,4]=>{{1},{2,3,7},{4,5,8},{6}} [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[6,1,2,7,8,3,4,5]=>[2,6,4,5,8,1,7,3]=>{{1,2,6},{3,4,5,8},{7}} [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>[1,3,4,5,8,6,7,2]=>{{1},{2,3,4,5,8},{6},{7}} [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,8,5]=>[2,3,4,7,8,6,1,5]=>{{1,2,3,4,7},{5,8},{6}} [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,8,5]=>[1,6,4,7,8,2,3,5]=>{{1},{2,6},{3,4,7},{5,8}} [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,8,5]=>[2,3,6,7,8,1,4,5]=>{{1,2,3,6},{4,7},{5,8}} [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,8,5]=>[1,3,6,7,8,2,4,5]=>{{1},{2,3,6},{4,7},{5,8}} [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>{{1},{2},{3,6},{4,7},{5,8}} [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,8,5]=>[1,2,4,7,8,6,3,5]=>{{1},{2},{3,4,7},{5,8},{6}} [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,8,4,5]=>[1,2,6,5,8,3,7,4]=>{{1},{2},{3,6},{4,5,8},{7}} [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,8,4,5]=>[1,2,7,5,8,6,3,4]=>{{1},{2},{3,7},{4,5,8},{6}} [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,2,6,7,8,3,4,5]=>[1,2,4,5,8,6,7,3]=>{{1},{2},{3,4,5,8},{6},{7}} [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,5,8]=>[6,3,4,5,7,1,2,8]=>{{1,6},{2,3,4,5,7},{8}} [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5,8]=>[2,3,4,5,7,6,1,8]=>{{1,2,3,4,5,7},{6},{8}} [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,5,8]=>[2,6,4,5,7,1,3,8]=>{{1,2,6},{3,4,5,7},{8}} [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,5,8]=>[1,6,4,5,7,2,3,8]=>{{1},{2,6},{3,4,5,7},{8}} [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,5,8]=>[1,3,4,5,7,6,2,8]=>{{1},{2,3,4,5,7},{6},{8}} [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,5,8]=>[1,3,6,5,7,2,4,8]=>{{1},{2,3,6},{4,5,7},{8}} [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[6,1,2,3,4,7,5,8]=>[2,3,4,6,7,1,5,8]=>{{1,2,3,4,6},{5,7},{8}} [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,7,5,8]=>[1,3,4,6,7,2,5,8]=>{{1},{2,3,4,6},{5,7},{8}} [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>{{1},{2},{3},{4,6},{5,7},{8}} [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,6,7,4,5,8]=>[1,2,3,5,7,6,4,8]=>{{1},{2},{3},{4,5,7},{6},{8}} [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,7,8,5]=>[2,3,4,6,8,1,7,5]=>{{1,2,3,4,6},{5,8},{7}} [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,7,8,5]=>[1,2,4,6,8,3,7,5]=>{{1},{2},{3,4,6},{5,8},{7}} [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>{{1},{2},{3},{4,6},{5,8},{7}} [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5]=>{{1},{2},{3},{4,7},{5,8},{6}} [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,6,7,8,4,5]=>[1,2,3,5,8,6,7,4]=>{{1},{2},{3},{4,5,8},{6},{7}} [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,1,8,2,3,4,5,7]=>[6,3,4,5,7,1,8,2]=>{{1,6},{2,3,4,5,7,8}} [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,8,1,2,3,4,5,7]=>[2,3,4,5,7,6,8,1]=>{{1,2,3,4,5,7,8},{6}} [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[6,1,2,8,3,4,5,7]=>[2,6,4,5,7,1,8,3]=>{{1,2,6},{3,4,5,7,8}} [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,6,2,8,3,4,5,7]=>[1,6,4,5,7,2,8,3]=>{{1},{2,6},{3,4,5,7,8}} [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,6,8,2,3,4,5,7]=>[1,3,4,5,7,6,8,2]=>{{1},{2,3,4,5,7,8},{6}} [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,3,8,4,5,7]=>[1,2,6,5,7,3,8,4]=>{{1},{2},{3,6},{4,5,7,8}} [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,8,5,7]=>[1,3,4,6,7,2,8,5]=>{{1},{2,3,4,6},{5,7,8}} [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,7,4,8,5]=>{{1},{2},{3},{4,6},{5,7,8}} [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,6,8,4,5,7]=>[1,2,3,5,7,6,8,4]=>{{1},{2},{3},{4,5,7,8},{6}} [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7]=>[2,3,4,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}} [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,8,7]=>[1,3,4,5,6,2,8,7]=>{{1},{2,3,4,5,6},{7,8}} [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,8,7]=>[1,2,4,5,6,3,8,7]=>{{1},{2},{3,4,5,6},{7,8}} [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,8,7]=>[1,2,3,5,6,4,8,7]=>{{1},{2},{3},{4,5,6},{7,8}} [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>{{1},{2},{3},{4},{5,6},{7,8}} [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,6,8,5]=>{{1},{2},{3},{4},{5,7,8},{6}} [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]=>{{1,2,3,4,5,6},{7},{8}} [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]=>{{1},{2,3,4,5,6},{7},{8}} [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]=>{{1},{2},{3,4,5,6},{7},{8}} [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,7,8]=>[1,2,3,5,6,4,7,8]=>{{1},{2},{3},{4,5,6},{7},{8}} [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>{{1},{2},{3},{4},{5,6},{7},{8}} [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>{{1},{2},{3},{4},{5,7},{6},{8}} [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>{{1},{2},{3},{4},{5,8},{6},{7}} [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,1,8,2,3,4,5,6]=>[7,3,4,5,6,8,1,2]=>{{1,7},{2,3,4,5,6,8}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>[2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}} [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[7,1,2,8,3,4,5,6]=>[2,7,4,5,6,8,1,3]=>{{1,2,7},{3,4,5,6,8}} [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,7,2,8,3,4,5,6]=>[1,7,4,5,6,8,2,3]=>{{1},{2,7},{3,4,5,6,8}} [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,8,2,3,4,5,6]=>[1,3,4,5,6,8,7,2]=>{{1},{2,3,4,5,6,8},{7}} [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,1,2,3,8,4,5,6]=>[2,3,7,5,6,8,1,4]=>{{1,2,3,7},{4,5,6,8}} [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,7,2,3,8,4,5,6]=>[1,3,7,5,6,8,2,4]=>{{1},{2,3,7},{4,5,6,8}} [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,2,7,3,8,4,5,6]=>[1,2,7,5,6,8,3,4]=>{{1},{2},{3,7},{4,5,6,8}} [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,7,8,3,4,5,6]=>[1,2,4,5,6,8,7,3]=>{{1},{2},{3,4,5,6,8},{7}} [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,1,2,3,4,8,5,6]=>[2,3,4,7,6,8,1,5]=>{{1,2,3,4,7},{5,6,8}} [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,7,2,3,4,8,5,6]=>[1,3,4,7,6,8,2,5]=>{{1},{2,3,4,7},{5,6,8}} [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,2,7,3,4,8,5,6]=>[1,2,4,7,6,8,3,5]=>{{1},{2},{3,4,7},{5,6,8}} [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,6,8,4,5]=>{{1},{2},{3},{4,7},{5,6,8}} [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,3,7,8,4,5,6]=>[1,2,3,5,6,8,7,4]=>{{1},{2},{3},{4,5,6,8},{7}} [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,6]=>[2,3,4,5,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}} [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,8,6]=>[1,3,4,5,7,8,2,6]=>{{1},{2,3,4,5,7},{6,8}} [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,8,6]=>[1,2,4,5,7,8,3,6]=>{{1},{2},{3,4,5,7},{6,8}} [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,8,6]=>[1,2,3,5,7,8,4,6]=>{{1},{2},{3},{4,5,7},{6,8}} [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>{{1},{2},{3},{4},{5,7},{6,8}} [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,6,8,7,5]=>{{1},{2},{3},{4},{5,6,8},{7}} [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}} [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]=>{{1},{2,3,4,5,6,7},{8}} [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,6,8]=>[1,2,4,5,6,7,3,8]=>{{1},{2},{3,4,5,6,7},{8}} [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,6,8]=>[1,2,3,5,6,7,4,8]=>{{1},{2},{3},{4,5,6,7},{8}} [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,6,7,5,8]=>{{1},{2},{3},{4},{5,6,7},{8}} [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>{{1},{2},{3},{4},{5},{6,7},{8}} [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>{{1},{2},{3},{4},{5},{6,8},{7}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}} [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}} [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>{{1},{2},{3,4,5,6,7,8}} [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>{{1},{2},{3},{4,5,6,7,8}} [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>{{1},{2},{3},{4},{5,6,7,8}} [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>{{1},{2},{3},{4},{5},{6,7,8}} [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>{{1},{2},{3},{4},{5},{6},{7,8}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]=>{{1,2,3,4,5,6,7,8,9}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>{{1,9},{2},{3},{4},{5},{6},{7},{8}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]=>{{1,2,3,4,5,6,7,8,9,10}} [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9]=>[2,3,4,5,6,7,8,1,9]=>{{1,2,3,4,5,6,7,8},{9}} [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>{{1,8},{2},{3},{4},{5},{6},{7},{9}} [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}} [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1]=>{{1,2,3,4,5,6,7,8,9,10,11}} [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8,10]=>[2,3,4,5,6,7,8,9,1,10]=>{{1,2,3,4,5,6,7,8,9},{10}} [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,9,7]=>[2,3,4,5,6,8,9,1,7]=>{{1,2,3,4,5,6,8},{7,9}} [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8,9]=>[2,3,4,5,6,7,1,8,9]=>{{1,2,3,4,5,6,7},{8},{9}} [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>{{1,7},{2},{3},{4},{5},{6},{8},{9}} [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,9,1,8]=>[8,2,3,4,5,6,7,9,1]=>{{1,8,9},{2},{3},{4},{5},{6},{7}} [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}} [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]=>{{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}} [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>{{1,2,3,4,5,6,7,8,9,10,11,12}} [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>{{1,2,3,4,5,6,7,8,9,10},{11}} [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,10,8]=>[2,3,4,5,6,7,9,10,1,8]=>{{1,2,3,4,5,6,7,9},{8,10}} [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>{{1,2,3,4,5,6,7,8},{9},{10}} [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,9,8]=>[2,3,4,5,6,7,1,9,8]=>{{1,2,3,4,5,6,7},{8,9}} [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>{{1,2,3,4,5,6},{7},{8},{9}} [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>{{1,6},{2},{3},{4},{5},{7},{8},{9}} [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,9,8]=>[7,2,3,4,5,6,1,9,8]=>{{1,7},{2},{3},{4},{5},{6},{8,9}} [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,8,9,1,7]=>[7,2,3,4,5,6,9,8,1]=>{{1,7,9},{2},{3},{4},{5},{6},{8}} [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,10,1,9]=>[9,2,3,4,5,6,7,8,10,1]=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}} [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,11,9]=>[2,3,4,5,6,7,8,10,11,1,9]=>{{1,2,3,4,5,6,7,8,10},{9,11}} [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,10,9]=>[2,3,4,5,6,7,8,1,10,9]=>{{1,2,3,4,5,6,7,8},{9,10}} [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>{{1,2,3,4,5,6,7},{8},{9},{10}} [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,9,6,8]=>[2,3,4,5,7,8,1,9,6]=>{{1,2,3,4,5,7},{6,8,9}} [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,9,6]=>[2,3,4,5,7,9,1,8,6]=>{{1,2,3,4,5,7},{6,9},{8}} [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>{{1,2,3,4,5},{6},{7},{8},{9}} [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>{{1,5},{2},{3},{4},{6},{7},{8},{9}} [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,8,1,9,7]=>[8,2,3,4,5,6,9,1,7]=>{{1,8},{2},{3},{4},{5},{6},{7,9}} [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,7,8,9,1,6]=>[6,2,3,4,5,9,7,8,1]=>{{1,6,9},{2},{3},{4},{5},{7},{8}} [1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,9,10,1,8]=>[8,2,3,4,5,6,7,10,9,1]=>{{1,8,10},{2},{3},{4},{5},{6},{7},{9}} [1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,11,1,10]=>[10,2,3,4,5,6,7,8,9,11,1]=>{{1,10,11},{2},{3},{4},{5},{6},{7},{8},{9}} [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8,11,10]=>[2,3,4,5,6,7,8,9,1,11,10]=>{{1,2,3,4,5,6,7,8,9},{10,11}} [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,10,7,9]=>[2,3,4,5,6,8,9,1,10,7]=>{{1,2,3,4,5,6,8},{7,9,10}} [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>{{1,2,3,4,5,6},{7},{8},{9},{10}} [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[8,1,2,3,9,4,5,6,7]=>[2,3,8,5,6,7,9,1,4]=>{{1,2,3,8},{4,5,6,7,9}} [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,9,7,8]=>[2,3,4,5,6,1,8,9,7]=>{{1,2,3,4,5,6},{7,8,9}} [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,9,7]=>[2,3,4,5,6,1,9,8,7]=>{{1,2,3,4,5,6},{7,9},{8}} [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>{{1,2,3,4},{5},{6},{7},{8},{9}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>{{1,4},{2},{3},{5},{6},{7},{8},{9}} [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,9,7,8]=>[6,2,3,4,5,1,8,9,7]=>{{1,6},{2},{3},{4},{5},{7,8,9}} [1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,9,1,10,8]=>[9,2,3,4,5,6,7,10,1,8]=>{{1,9},{2},{3},{4},{5},{6},{7},{8,10}} [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,6,7,8,9,1,5]=>[5,2,3,4,9,6,7,8,1]=>{{1,5,9},{2},{3},{4},{6},{7},{8}} [1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,8,9,10,1,7]=>[7,2,3,4,5,6,10,8,9,1]=>{{1,7,10},{2},{3},{4},{5},{6},{8},{9}} [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[9,1,2,3,4,10,5,6,7,8]=>[2,3,4,9,6,7,8,10,1,5]=>{{1,2,3,4,9},{5,6,7,8,10}} [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>{{1,2,3,4,5},{6},{7},{8},{9},{10}} [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7,9]=>[2,3,4,5,6,1,8,7,9]=>{{1,2,3,4,5,6},{7,8},{9}} [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>{{1,2,3},{4},{5},{6},{7},{8},{9}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,9,8,1]=>{{1,2,3,4,5,6,7,9},{8}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>{{1,3},{2},{4},{5},{6},{7},{8},{9}} [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>[2,9,3,4,5,6,7,8,1]=>{{1,2,9},{3},{4},{5},{6},{7},{8}} [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,5,6,7,8,9,1,4]=>[4,2,3,9,5,6,7,8,1]=>{{1,4,9},{2},{3},{5},{6},{7},{8}} [1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,7,8,9,10,1,6]=>[6,2,3,4,5,10,7,8,9,1]=>{{1,6,10},{2},{3},{4},{5},{7},{8},{9}} [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}} [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,9,6,7,8]=>[2,3,4,5,1,7,8,9,6]=>{{1,2,3,4,5},{6,7,8,9}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>{{1,2},{3},{4},{5},{6},{7},{8},{9}} [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[7,9,1,2,3,4,5,6,8]=>[2,3,4,5,6,8,7,9,1]=>{{1,2,3,4,5,6,8,9},{7}} [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,9,2]=>[8,9,3,4,5,6,7,1,2]=>{{1,8},{2,9},{3},{4},{5},{6},{7}} [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,4,5,6,7,8,9,1,3]=>[3,2,9,4,5,6,7,8,1]=>{{1,3,9},{2},{4},{5},{6},{7},{8}} [1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,6,7,8,9,10,1,5]=>[5,2,3,4,10,6,7,8,9,1]=>{{1,5,10},{2},{3},{4},{6},{7},{8},{9}} [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,10,9,1]=>{{1,2,3,4,5,6,7,8,10},{9}} [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>{{1,2},{3},{4},{5},{6},{7},{8,9}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6,9]=>[2,3,4,5,6,8,7,1,9]=>{{1,2,3,4,5,6,8},{7},{9}} [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,9,1,2,3,4,5,7,8]=>[2,3,4,5,7,6,8,9,1]=>{{1,2,3,4,5,7,8,9},{6}} [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,5,6,7,1,8,9,2]=>[7,9,3,4,5,6,1,8,2]=>{{1,7},{2,9},{3},{4},{5},{6},{8}} [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2,9]=>[2,8,3,4,5,6,7,1,9]=>{{1,2,8},{3},{4},{5},{6},{7},{9}} [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,4,5,6,7,8,1,9,3]=>[8,2,9,4,5,6,7,1,3]=>{{1,8},{2},{3,9},{4},{5},{6},{7}} [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>[2,10,3,4,5,6,7,8,9,1]=>{{1,2,10},{3},{4},{5},{6},{7},{8},{9}} [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,5,6,7,8,9,10,1,4]=>[4,2,3,10,5,6,7,8,9,1]=>{{1,4,10},{2},{3},{5},{6},{7},{8},{9}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,1,10,2,3,4,5,6,7,8]=>[9,3,4,5,6,7,8,10,1,2]=>{{1,9},{2,3,4,5,6,7,8,10}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[7,1,8,2,3,4,5,6,9]=>[7,3,4,5,6,8,1,2,9]=>{{1,7},{2,3,4,5,6,8},{9}} [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[4,1,2,3,9,5,6,7,8]=>[2,3,4,1,6,7,8,9,5]=>{{1,2,3,4},{5,6,7,8,9}} [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,9,7,8]=>[2,1,3,4,5,6,8,9,7]=>{{1,2},{3},{4},{5},{6},{7,8,9}} [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[5,9,1,2,3,4,6,7,8]=>[2,3,4,6,5,7,8,9,1]=>{{1,2,3,4,6,7,8,9},{5}} [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,10,2]=>[9,10,3,4,5,6,7,8,1,2]=>{{1,9},{2,10},{3},{4},{5},{6},{7},{8}} [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,4,5,6,7,8,9,10,1,3]=>[3,2,10,4,5,6,7,8,9,1]=>{{1,3,10},{2},{4},{5},{6},{7},{8},{9}} []=>[]=>[]=>{} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>{{1},{2,3},{4,5},{6,7},{8,9}} [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,7,9,2,4,6,8]=>[1,4,3,6,5,8,7,9,2]=>{{1},{2,4,6,8,9},{3},{5},{7}} [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,3,9,2,4,5,6,7,8]=>[1,4,3,5,6,7,8,9,2]=>{{1},{2,4,5,6,7,8,9},{3}} [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>{{1},{2,3},{4},{5},{6},{7},{8,9}} [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,9,2,8]=>[1,8,3,4,5,6,7,9,2]=>{{1},{2,8,9},{3},{4},{5},{6},{7}} [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>{{1},{2,3},{4},{5},{6},{7},{8},{9}} [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>{{1},{2,4},{3},{5},{6},{7},{8},{9}} [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>{{1},{2,9},{3},{4},{5},{6},{7},{8}} [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6,9,8]=>[1,4,5,2,3,7,6,9,8]=>{{1},{2,4},{3,5},{6,7},{8,9}} [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,4,2,5,6,7,8,9,3]=>[1,4,9,2,5,6,7,8,3]=>{{1},{2,4},{3,9},{5},{6},{7},{8}} [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,4,5,6,7,8,9,2,3]=>[1,3,9,4,5,6,7,8,2]=>{{1},{2,3,9},{4},{5},{6},{7},{8}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,8,7,9]=>[1,3,4,2,6,5,8,7,9]=>{{1},{2,3,4},{5,6},{7,8},{9}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,8,7,9]=>[1,2,4,3,6,5,8,7,9]=>{{1},{2},{3,4},{5,6},{7,8},{9}} [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,4,9,3,5,6,7,8]=>[1,2,5,4,6,7,8,9,3]=>{{1},{2},{3,5,6,7,8,9},{4}} [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>{{1},{2,3,4},{5},{6},{7},{8},{9}} [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>{{1},{2},{3,4},{5},{6},{7},{8},{9}} [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>{{1},{2},{3,9},{4},{5},{6},{7},{8}} [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]=>{{1},{2},{3},{4,5},{6,7},{8,9}} [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,3,5,9,4,6,7,8]=>[1,2,3,6,5,7,8,9,4]=>{{1},{2},{3},{4,6,7,8,9},{5}} [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,7,8,9]=>[1,3,4,5,2,6,7,8,9]=>{{1},{2,3,4,5},{6},{7},{8},{9}} [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>{{1},{2},{3},{4,5},{6},{7},{8},{9}} [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>{{1},{2},{3},{4,9},{5},{6},{7},{8}} [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,6,2,7,3,8,4,9,5]=>[1,6,7,8,9,2,3,4,5]=>{{1},{2,6},{3,7},{4,8},{5,9}} [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9]=>{{1},{2},{3},{4},{5,6},{7,8},{9}} [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,9,5,7,8]=>[1,2,3,4,7,6,8,9,5]=>{{1},{2},{3},{4},{5,7,8,9},{6}} [1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7,8,9]=>[1,2,4,5,6,3,7,8,9]=>{{1},{2},{3,4,5,6},{7},{8},{9}} [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>{{1},{2},{3},{4},{5,6},{7},{8},{9}} [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>{{1},{2},{3},{4},{5,9},{6},{7},{8}} [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,8,6,9]=>[1,2,3,4,7,8,5,6,9]=>{{1},{2},{3},{4},{5,7},{6,8},{9}} [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,9,5,8,6]=>{{1},{2},{3},{4},{5,7},{6,9},{8}} [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,9,2,3,4,5,6,8]=>[1,3,4,5,6,8,7,9,2]=>{{1},{2,3,4,5,6,8,9},{7}} [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,9,8]=>[1,3,4,5,6,7,2,9,8]=>{{1},{2,3,4,5,6,7},{8,9}} [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>{{1},{2},{3},{4},{5},{6,7},{8,9}} [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,8,7,9,6]=>{{1},{2},{3},{4},{5},{6,8,9},{7}} [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,8,9]=>[1,3,4,5,6,7,2,8,9]=>{{1},{2,3,4,5,6,7},{8},{9}} [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>{{1},{2},{3},{4},{5},{6,7},{8},{9}} [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>{{1},{2},{3},{4},{5},{6,9},{7},{8}} [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[1,8,2,9,3,4,5,6,7]=>[1,8,4,5,6,7,9,2,3]=>{{1},{2,8},{3,4,5,6,7,9}} [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,8,9,2,3,4,5,6,7]=>[1,3,4,5,6,7,9,8,2]=>{{1},{2,3,4,5,6,7,9},{8}} [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,8,9,5,6,7]=>[1,2,3,4,6,7,9,8,5]=>{{1},{2},{3},{4},{5,6,7,9},{8}} [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,9,7]=>[1,3,4,5,6,8,9,2,7]=>{{1},{2,3,4,5,6,8},{7,9}} [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,9,6,7]=>{{1},{2},{3},{4},{5},{6,8},{7,9}} [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,7,9,8,6]=>{{1},{2},{3},{4},{5},{6,7,9},{8}} [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]=>{{1},{2,3,4,5,6,7,8},{9}} [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,7,9]=>[1,2,3,5,6,7,8,4,9]=>{{1},{2},{3},{4,5,6,7,8},{9}} [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,8,6,7,9]=>[1,2,3,4,5,7,8,6,9]=>{{1},{2},{3},{4},{5},{6,7,8},{9}} [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>{{1},{2},{3},{4},{5},{6},{7,8},{9}} [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>{{1},{2},{3},{4},{5},{6},{7,9},{8}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>{{1},{2,3,4,5,6,7,8,9}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,2,9,3,4,5,6,7,8]=>[1,2,4,5,6,7,8,9,3]=>{{1},{2},{3,4,5,6,7,8,9}} [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,5,6,7,8,9,4]=>{{1},{2},{3},{4,5,6,7,8,9}} [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,6,7,8,9,5]=>{{1},{2},{3},{4},{5,6,7,8,9}} [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,7,8,9,6]=>{{1},{2},{3},{4},{5},{6,7,8,9}} [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>{{1},{2},{3},{4},{5},{6},{7,8,9}} [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,9}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9]=>[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]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>{{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]=>[2,4,1,3,6,5,8,7,9]=>[3,2,4,1,6,5,8,7,9]=>{{1,3,4},{2},{5,6},{7,8},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,8,7,9]=>[4,2,5,1,6,3,8,7,9]=>{{1,4},{2},{3,5,6},{7,8},{9}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,7,9]=>[4,2,6,1,7,3,8,5,9]=>{{1,4},{2},{3,6},{5,7,8},{9}} [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,9,7]=>[4,2,6,1,8,3,9,5,7]=>{{1,4},{2},{3,6},{5,8},{7,9}} [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,9,8]=>[4,2,6,1,7,3,5,9,8]=>{{1,4},{2},{3,6},{5,7},{8,9}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,9,8]=>[4,2,5,1,3,7,6,9,8]=>{{1,4},{2},{3,5},{6,7},{8,9}} [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>{{1,3},{2},{4,5},{6,7},{8,9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>{{1,2},{3,4},{5,6},{7,8},{9,10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,8,7,10,9]=>[3,2,4,1,6,5,8,7,10,9]=>{{1,3,4},{2},{5,6},{7,8},{9,10}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,8,7,9]=>[3,2,5,4,6,1,8,7,9]=>{{1,3,5,6},{2},{4},{7,8},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,8,7,10,9]=>[4,2,5,1,6,3,8,7,10,9]=>{{1,4},{2},{3,5,6},{7,8},{9,10}} [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,8,3,5,7,9]=>[4,2,5,1,7,6,8,3,9]=>{{1,4},{2},{3,5,7,8},{6},{9}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,7,10,9]=>[4,2,6,1,7,3,8,5,10,9]=>{{1,4},{2},{3,6},{5,7,8},{9,10}} [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,8,9,5,7]=>[4,2,6,1,7,3,9,8,5]=>{{1,4},{2},{3,6},{5,7,9},{8}} [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,10,7,9]=>[4,2,6,1,8,3,9,5,10,7]=>{{1,4},{2},{3,6},{5,8},{7,9,10}} [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,8,9]=>[4,2,6,1,7,3,5,8,9]=>{{1,4},{2},{3,6},{5,7},{8},{9}} [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,9,7,10]=>[4,2,6,1,8,3,9,5,7,10]=>{{1,4},{2},{3,6},{5,8},{7,9},{10}} [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,8,6,9,7]=>[4,2,5,1,3,8,9,6,7]=>{{1,4},{2},{3,5},{6,8},{7,9}} [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,9,8,10]=>[4,2,6,1,7,3,5,9,8,10]=>{{1,4},{2},{3,6},{5,7},{8,9},{10}} [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5,9,8]=>[3,2,1,6,7,4,5,9,8]=>{{1,3},{2},{4,6},{5,7},{8,9}} [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,9,8,10]=>[4,2,5,1,3,7,6,9,8,10]=>{{1,4},{2},{3,5},{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]=>[2,3,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>{{1,3},{2},{4,5},{6,7},{8,9},{10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>{{1},{2,3},{4,5},{6,7},{8,9},{10}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,10]=>[1,3,2,5,4,7,6,9,8,11,10]=>{{1},{2,3},{4,5},{6,7},{8,9},{10,11}} [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>{{1,4},{2},{3,5},{6},{7},{8},{9}} [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,6,8,10,1,3,5,7,9]=>[3,2,5,4,7,6,9,8,10,1]=>{{1,3,5,7,9,10},{2},{4},{6},{8}} [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,6,2,7,3,8,4,9,5,10]=>[1,6,7,8,9,2,3,4,5,10]=>{{1},{2,6},{3,7},{4,8},{5,9},{10}} [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[2,3,1,9,4,5,6,7,8]=>[3,2,1,5,6,7,8,9,4]=>{{1,3},{2},{4,5,6,7,8,9}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,8,7,10,9]=>[1,3,4,2,6,5,8,7,10,9]=>{{1},{2,3,4},{5,6},{7,8},{9,10}} [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9]=>{{1,2},{3,4},{5,6},{7},{8},{9}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>{{1,2},{3,4},{5},{6},{7},{8},{9}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>{{1,3,4},{2},{5},{6},{7},{8},{9}} [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,4,5,6,7,8,3]=>{{1,2},{3,9},{4},{5},{6},{7},{8}} [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,5,6,7,8,9,3,4]=>[2,1,4,9,5,6,7,8,3]=>{{1,2},{3,4,9},{5},{6},{7},{8}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[2,1,9,3,4,5,6,7,8]=>[2,1,4,5,6,7,8,9,3]=>{{1,2},{3,4,5,6,7,8,9}} [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,9,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,9,1]=>{{1,3,4,5,6,7,8,9},{2}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7,9]=>[3,4,1,2,6,5,8,7,9]=>{{1,3},{2,4},{5,6},{7,8},{9}} [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,8,9,2,5,6,7]=>[3,5,1,4,6,7,9,8,2]=>{{1,3},{2,5,6,7,9},{4},{8}} [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>{{1,3},{2,4},{5},{6},{7},{8},{9}} [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>{{1,2,4},{3},{5},{6},{7},{8},{9}} [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,2]=>[3,9,1,4,5,6,7,8,2]=>{{1,3},{2,9},{4},{5},{6},{7},{8}} [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7,8,9]=>[4,5,6,1,2,3,7,8,9]=>{{1,4},{2,5},{3,6},{7},{8},{9}} [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7,8,9]=>[2,3,6,4,5,1,7,8,9]=>{{1,2,3,6},{4},{5},{7},{8},{9}} [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,1,2,3]=>[2,3,9,4,5,6,7,8,1]=>{{1,2,3,9},{4},{5},{6},{7},{8}} [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,8,4,9]=>[5,6,7,8,1,2,3,4,9]=>{{1,5},{2,6},{3,7},{4,8},{9}} [1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4,9]=>[2,3,4,8,5,6,7,1,9]=>{{1,2,3,4,8},{5},{6},{7},{9}} [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,1,2,3,4]=>[2,3,4,9,5,6,7,8,1]=>{{1,2,3,4,9},{5},{6},{7},{8}} [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>[2,3,4,5,9,6,7,8,1]=>{{1,2,3,4,5,9},{6},{7},{8}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[2,3,4,5,6,9,7,8,1]=>{{1,2,3,4,5,6,9},{7},{8}} [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,8,5,7,10,9]=>[3,2,4,1,7,6,8,5,10,9]=>{{1,3,4},{2},{5,7,8},{6},{9,10}} [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,10,7,9]=>[2,1,4,3,6,5,9,8,10,7]=>{{1,2},{3,4},{5,6},{7,9,10},{8}} [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10]=>{{1,2},{3,4},{5,6},{7,8},{9},{10}} [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,9,10,7,8]=>[2,1,4,3,6,5,8,10,9,7]=>{{1,2},{3,4},{5,6},{7,8,10},{9}} [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,10,7,8,9]=>[2,1,4,3,6,5,8,9,10,7]=>{{1,2},{3,4},{5,6},{7,8,9,10}} [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,10,5,6,7,8,9]=>[2,1,4,3,6,7,8,9,10,5]=>{{1,2},{3,4},{5,6,7,8,9,10}} [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>{{1,3,4},{2},{5},{6},{7},{8},{9},{10}} [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,8,7,10,9]=>[2,1,4,6,5,3,8,7,10,9]=>{{1,2},{3,4,6},{5},{7,8},{9,10}} [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,9,10,7,8]=>[2,1,4,6,5,3,8,10,9,7]=>{{1,2},{3,4,6},{5},{7,8,10},{9}} [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,7,8,9,10,1,3,4,5,6]=>[3,2,4,5,6,10,7,8,9,1]=>{{1,3,4,5,6,10},{2},{7},{8},{9}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[2,1,10,3,4,5,6,7,8,9]=>[2,1,4,5,6,7,8,9,10,3]=>{{1,2},{3,4,5,6,7,8,9,10}} [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[2,10,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,10,1]=>{{1,3,4,5,6,7,8,9,10},{2}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7,10,9]=>[3,4,1,2,6,5,8,7,10,9]=>{{1,3},{2,4},{5,6},{7,8},{9,10}} [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,8,7,10,9]=>[2,4,3,1,6,5,8,7,10,9]=>{{1,2,4},{3},{5,6},{7,8},{9,10}} [1,1,0,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,6,8,10,1,2,5,7,9]=>[2,5,3,4,7,6,9,8,10,1]=>{{1,2,5,7,9,10},{3},{4},{6},{8}} [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6,10,9]=>[2,4,3,1,6,8,7,5,10,9]=>{{1,2,4},{3},{5,6,8},{7},{9,10}} [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,8,9,10,5,6,7]=>[2,4,3,1,6,7,10,8,9,5]=>{{1,2,4},{3},{5,6,7,10},{8},{9}} [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9,10]=>{{1,3},{2,4},{5},{6},{7},{8},{9},{10}} [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7,8,9,10]=>[2,4,3,1,5,6,7,8,9,10]=>{{1,2,4},{3},{5},{6},{7},{8},{9},{10}} [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,10,2]=>[3,10,1,4,5,6,7,8,9,2]=>{{1,3},{2,10},{4},{5},{6},{7},{8},{9}} [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,9,10,7,8]=>[2,3,6,4,5,1,8,10,9,7]=>{{1,2,3,6},{4},{5},{7,8,10},{9}} [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7,8,9,10]=>[2,3,6,4,5,1,7,8,9,10]=>{{1,2,3,6},{4},{5},{7},{8},{9},{10}} [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,1,2,3]=>[2,3,10,4,5,6,7,8,9,1]=>{{1,2,3,10},{4},{5},{6},{7},{8},{9}} [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4,10,9]=>[2,3,4,8,5,6,7,1,10,9]=>{{1,2,3,4,8},{5},{6},{7},{9,10}} [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4,9,10]=>[2,3,4,8,5,6,7,1,9,10]=>{{1,2,3,4,8},{5},{6},{7},{9},{10}} [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,1,2,3,4]=>[2,3,4,10,5,6,7,8,9,1]=>{{1,2,3,4,10},{5},{6},{7},{8},{9}} [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[6,1,7,2,8,3,9,4,10,5]=>[6,7,8,9,10,1,2,3,4,5]=>{{1,6},{2,7},{3,8},{4,9},{5,10}} [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[2,3,4,5,10,6,7,8,9,1]=>{{1,2,3,4,5,10},{6},{7},{8},{9}} [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>[2,3,4,5,6,10,7,8,9,1]=>{{1,2,3,4,5,6,10},{7},{8},{9}} [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,8,9,1]=>{{1,2,3,4,5,6,7,10},{8},{9}} [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7,9]=>[3,5,1,6,2,4,8,7,9]=>{{1,3},{2,5},{4,6},{7,8},{9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6,9,8]=>[3,4,1,5,2,7,6,9,8]=>{{1,3},{2,4,5},{6,7},{8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8]=>{{1,2,3},{4,5},{6,7},{8,9}} [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10]=>{{1,2,3},{4,5},{6,7},{8,9},{10}} [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,10},{9}} [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,9,10,8]=>{{1},{2},{3},{4},{5},{6},{7},{8,9,10}} [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,10,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,11},{10}} [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,9,7,10,8]=>[1,2,3,4,5,6,9,10,7,8]=>{{1},{2},{3},{4},{5},{6},{7,9},{8,10}} [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,10,11,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10,11}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7,9]=>[2,3,4,1,6,5,8,7,9]=>{{1,2,3,4},{5,6},{7,8},{9}} [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>{{1},{2,3,4,5,6,7,8,9,10}} [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,11,2]=>{{1},{2,3,4,5,6,7,8,9,10,11}} [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[1,9,2,3,4,5,6,7,8,10]=>[1,3,4,5,6,7,8,9,2,10]=>{{1},{2,3,4,5,6,7,8,9},{10}} [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]=>{{1},{2},{3},{4},{5},{6},{7,10},{8},{9}} [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]=>{{1},{2},{3},{4},{5},{6,10},{7},{8},{9}} [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]=>{{1},{2},{3},{4},{5,10},{6},{7},{8},{9}} [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]=>{{1},{2},{3},{4,10},{5},{6},{7},{8},{9}} [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>{{1},{2},{3,10},{4},{5},{6},{7},{8},{9}} [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5,8,7,9]=>[2,3,1,4,6,5,8,7,9]=>{{1,2,3},{4},{5,6},{7,8},{9}} [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}} [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,10,8,9]=>[1,3,2,5,4,7,6,9,10,8]=>{{1},{2,3},{4,5},{6,7},{8,9,10}} [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>{{1},{2},{3},{4,5},{6,7},{8,9},{10}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,4,5,6,7,8,9,10,3]=>{{1},{2},{3,4,5,6,7,8,9,10}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,5,6,7,8,9,10,4]=>{{1},{2},{3},{4,5,6,7,8,9,10}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,6,7,8,9,10,5]=>{{1},{2},{3},{4},{5,6,7,8,9,10}} [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,7,8,9,10,6]=>{{1},{2},{3},{4},{5},{6,7,8,9,10}} [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,8,9,10,7]=>{{1},{2},{3},{4},{5},{6},{7,8,9,10}} [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>[1,3,2,5,4,7,6,10,9,8]=>{{1},{2,3},{4,5},{6,7},{8,10},{9}} [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,5,7,9,10,2,4,6,8]=>[1,4,3,6,5,8,7,10,9,2]=>{{1},{2,4,6,8,10},{3},{5},{7},{9}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]=>{{1},{2},{3,4},{5,6},{7,8},{9,10}} [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,9,10,7,8]=>[1,2,3,4,5,6,8,10,9,7]=>{{1},{2},{3},{4},{5},{6},{7,8,10},{9}} [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,9,10,6,7,8]=>[1,2,3,4,5,7,8,10,9,6]=>{{1},{2},{3},{4},{5},{6,7,8,10},{9}} [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10},{11}} [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7,10,9]=>[2,3,4,1,6,5,8,7,10,9]=>{{1,2,3,4},{5,6},{7,8},{9,10}} [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7,10,9]=>[2,3,4,5,6,1,8,7,10,9]=>{{1,2,3,4,5,6},{7,8},{9,10}} [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,12,2,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>{{1},{2,3,4,5,6,7,8,9,10,11,12}} [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,11,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,11,10,1]=>{{1,2,3,4,5,6,7,8,9,11},{10}} [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,8,7,10,9]=>[1,2,3,4,6,5,8,7,10,9]=>{{1},{2},{3},{4},{5,6},{7,8},{9,10}} [1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,1,8,2,9,3]=>[7,8,9,4,5,6,1,2,3]=>{{1,7},{2,8},{3,9},{4},{5},{6}} [1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[5,6,7,1,8,2,9,3,10,4]=>[7,8,9,10,5,6,1,2,3,4]=>{{1,7},{2,8},{3,9},{4,10},{5},{6}} [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,9,7,8,10]=>[1,2,3,4,5,6,8,9,7,10]=>{{1},{2},{3},{4},{5},{6},{7,8,9},{10}} [1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,4,5,6,7,8,9,1,10,3]=>[9,2,10,4,5,6,7,8,1,3]=>{{1,9},{2},{3,10},{4},{5},{6},{7},{8}} [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>{{1},{2},{3},{4},{5},{6},{7},{8,9},{10}} [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10},{11}} [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>{{1},{2},{3},{4},{5},{6},{7,8},{9,10}} [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8,9,10,11]=>[2,3,1,4,5,6,7,8,9,10,11]=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10},{11}} [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,2,9]=>[3,8,1,4,5,6,7,2,9]=>{{1,3},{2,8},{4},{5},{6},{7},{9}} [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,9,10,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,10,9,2]=>{{1},{2,3,4,5,6,7,8,10},{9}} [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>{{1},{2},{3},{4,5},{6},{7},{8},{9},{10}} [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7,8,9,10]=>[1,2,4,5,6,3,7,8,9,10]=>{{1},{2},{3,4,5,6},{7},{8},{9},{10}} [1,1,1,1,1,0,0,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,9,1,2,3,4,5,8]=>[2,3,4,5,8,6,7,9,1]=>{{1,2,3,4,5,8,9},{6},{7}} [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}} [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[2,3,9,1,4,5,6,7,8]=>[4,2,3,5,6,7,8,9,1]=>{{1,4,5,6,7,8,9},{2},{3}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[2,8,1,3,4,5,6,7,9]=>[3,2,4,5,6,7,8,1,9]=>{{1,3,4,5,6,7,8},{2},{9}} [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[2,1,8,3,4,5,6,7,9]=>[2,1,4,5,6,7,8,3,9]=>{{1,2},{3,4,5,6,7,8},{9}} [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>{{1},{2,3},{4},{5},{6},{7},{8},{9},{10}} [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6,11,12,9,10]=>[2,4,3,1,6,8,7,5,10,12,11,9]=>{{1,2,4},{3},{5,6,8},{7},{9,10,12},{11}} [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7,8,9,10]=>[1,3,4,2,5,6,7,8,9,10]=>{{1},{2,3,4},{5},{6},{7},{8},{9},{10}} [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>{{1},{2},{3},{4},{5},{6},{7,8},{9},{10}} [1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>{{1},{2},{3},{4},{5},{6,7},{8},{9},{10}} [1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>{{1},{2},{3},{4},{5,6},{7},{8},{9},{10}} [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,10,11,2]=>[3,11,1,4,5,6,7,8,9,10,2]=>{{1,3},{2,11},{4},{5},{6},{7},{8},{9},{10}} [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>{{1,2},{3},{4},{5},{6},{7},{8},{9,10}} [1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,8,6,7,9,12,10,11]=>[1,3,4,2,5,7,8,6,9,11,12,10]=>{{1},{2,3,4},{5},{6,7,8},{9},{10,11,12}} [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[3,1,2,9,4,5,6,7,8]=>[2,3,1,5,6,7,8,9,4]=>{{1,2,3},{4,5,6,7,8,9}} [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,3,1,5,4,6,7,8,9]=>[3,2,1,5,4,6,7,8,9]=>{{1,3},{2},{4,5},{6},{7},{8},{9}} [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[2,11,1,3,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,11,1]=>{{1,3,4,5,6,7,8,9,10,11},{2}} [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,7,12,8,9,10,11]=>[1,3,2,4,6,5,7,9,10,11,12,8]=>{{1},{2,3},{4},{5,6},{7},{8,9,10,11,12}} [1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,9,10,2]=>[8,10,3,4,5,6,7,1,9,2]=>{{1,8},{2,10},{3},{4},{5},{6},{7},{9}} [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,10,6,7,8,9]=>[1,2,3,5,4,7,8,9,10,6]=>{{1},{2},{3},{4,5},{6,7,8,9,10}} [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>{{1},{2},{3,4},{5},{6},{7},{8},{9},{10}}
Map
to 321-avoiding permutation
Description
Sends a Dyck path to a 321-avoiding permutation.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].