Identifier
Mp00025: to 132-avoiding permutationPermutations
Mp00086: Permutations first fundamental transformationPermutations
Mp00070: Permutations Robinson-Schensted recording tableau
Images
=>
Cc0005;cc-rep-0Cc0007;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]=>[3,2,1]=>[3,1,2]=>[[1,3],[2]] [1,0,1,1,0,0]=>[2,3,1]=>[3,2,1]=>[[1],[2],[3]] [1,1,0,0,1,0]=>[3,1,2]=>[2,3,1]=>[[1,2],[3]] [1,1,0,1,0,0]=>[2,1,3]=>[2,1,3]=>[[1,3],[2]] [1,1,1,0,0,0]=>[1,2,3]=>[1,2,3]=>[[1,2,3]] [1,0,1,0,1,0,1,0]=>[4,3,2,1]=>[4,1,2,3]=>[[1,3,4],[2]] [1,0,1,0,1,1,0,0]=>[3,4,2,1]=>[4,1,3,2]=>[[1,3],[2],[4]] [1,0,1,1,0,0,1,0]=>[4,2,3,1]=>[4,3,1,2]=>[[1,4],[2],[3]] [1,0,1,1,0,1,0,0]=>[3,2,4,1]=>[4,3,2,1]=>[[1],[2],[3],[4]] [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,2,3,1]=>[[1,3],[2],[4]] [1,1,0,0,1,0,1,0]=>[4,3,1,2]=>[2,4,1,3]=>[[1,2],[3,4]] [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[2,4,3,1]=>[[1,2],[3],[4]] [1,1,0,1,0,0,1,0]=>[4,2,1,3]=>[3,1,4,2]=>[[1,3],[2,4]] [1,1,0,1,0,1,0,0]=>[3,2,1,4]=>[3,1,2,4]=>[[1,3,4],[2]] [1,1,0,1,1,0,0,0]=>[2,3,1,4]=>[3,2,1,4]=>[[1,4],[2],[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]=>[3,1,2,4]=>[2,3,1,4]=>[[1,2,4],[3]] [1,1,1,0,1,0,0,0]=>[2,1,3,4]=>[2,1,3,4]=>[[1,3,4],[2]] [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]=>[5,4,3,2,1]=>[5,1,2,3,4]=>[[1,3,4,5],[2]] [1,0,1,0,1,0,1,1,0,0]=>[4,5,3,2,1]=>[5,1,2,4,3]=>[[1,3,4],[2],[5]] [1,0,1,0,1,1,0,0,1,0]=>[5,3,4,2,1]=>[5,1,4,2,3]=>[[1,3,5],[2],[4]] [1,0,1,0,1,1,0,1,0,0]=>[4,3,5,2,1]=>[5,1,4,3,2]=>[[1,3],[2],[4],[5]] [1,0,1,0,1,1,1,0,0,0]=>[3,4,5,2,1]=>[5,1,3,4,2]=>[[1,3,4],[2],[5]] [1,0,1,1,0,0,1,0,1,0]=>[5,4,2,3,1]=>[5,3,1,2,4]=>[[1,4,5],[2],[3]] [1,0,1,1,0,0,1,1,0,0]=>[4,5,2,3,1]=>[5,3,1,4,2]=>[[1,4],[2,5],[3]] [1,0,1,1,0,1,0,0,1,0]=>[5,3,2,4,1]=>[5,4,2,1,3]=>[[1,5],[2],[3],[4]] [1,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1]=>[5,4,2,3,1]=>[[1,4],[2],[3],[5]] [1,0,1,1,0,1,1,0,0,0]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]] [1,0,1,1,1,0,0,0,1,0]=>[5,2,3,4,1]=>[5,3,4,1,2]=>[[1,3],[2,5],[4]] [1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1]=>[5,3,4,2,1]=>[[1,3],[2],[4],[5]] [1,0,1,1,1,0,1,0,0,0]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[[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]=>[[1,3,4],[2],[5]] [1,1,0,0,1,0,1,0,1,0]=>[5,4,3,1,2]=>[2,5,1,3,4]=>[[1,2,5],[3,4]] [1,1,0,0,1,0,1,1,0,0]=>[4,5,3,1,2]=>[2,5,1,4,3]=>[[1,2],[3,4],[5]] [1,1,0,0,1,1,0,0,1,0]=>[5,3,4,1,2]=>[2,5,4,1,3]=>[[1,2],[3,5],[4]] [1,1,0,0,1,1,0,1,0,0]=>[4,3,5,1,2]=>[2,5,4,3,1]=>[[1,2],[3],[4],[5]] [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[1,2,4],[3],[5]] [1,1,0,1,0,0,1,0,1,0]=>[5,4,2,1,3]=>[3,1,5,2,4]=>[[1,3,5],[2,4]] [1,1,0,1,0,0,1,1,0,0]=>[4,5,2,1,3]=>[3,1,5,4,2]=>[[1,3],[2,4],[5]] [1,1,0,1,0,1,0,0,1,0]=>[5,3,2,1,4]=>[4,1,2,5,3]=>[[1,3,4],[2,5]] [1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,5]=>[4,1,2,3,5]=>[[1,3,4,5],[2]] [1,1,0,1,0,1,1,0,0,0]=>[3,4,2,1,5]=>[4,1,3,2,5]=>[[1,3,5],[2],[4]] [1,1,0,1,1,0,0,0,1,0]=>[5,2,3,1,4]=>[4,3,1,5,2]=>[[1,4],[2,5],[3]] [1,1,0,1,1,0,0,1,0,0]=>[4,2,3,1,5]=>[4,3,1,2,5]=>[[1,4,5],[2],[3]] [1,1,0,1,1,0,1,0,0,0]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]] [1,1,0,1,1,1,0,0,0,0]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]] [1,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,3]=>[2,3,5,1,4]=>[[1,2,3],[4,5]] [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[1,2,3],[4],[5]] [1,1,1,0,0,1,0,0,1,0]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[1,2,4],[3,5]] [1,1,1,0,0,1,0,1,0,0]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[1,2,5],[3,4]] [1,1,1,0,0,1,1,0,0,0]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[1,2,5],[3],[4]] [1,1,1,0,1,0,0,0,1,0]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[1,3,4],[2,5]] [1,1,1,0,1,0,0,1,0,0]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[1,3,5],[2,4]] [1,1,1,0,1,0,1,0,0,0]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[1,3,4,5],[2]] [1,1,1,0,1,1,0,0,0,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]] [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]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[1,2,3,5],[4]] [1,1,1,1,0,0,1,0,0,0]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[1,2,4,5],[3]] [1,1,1,1,0,1,0,0,0,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[1,3,4,5],[2]] [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]=>[6,5,4,3,2,1]=>[6,1,2,3,4,5]=>[[1,3,4,5,6],[2]] [1,0,1,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,2,1]=>[6,1,2,3,5,4]=>[[1,3,4,5],[2],[6]] [1,0,1,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,2,1]=>[6,1,2,5,3,4]=>[[1,3,4,6],[2],[5]] [1,0,1,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,2,1]=>[6,1,2,5,4,3]=>[[1,3,4],[2],[5],[6]] [1,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,2,1]=>[6,1,2,4,5,3]=>[[1,3,4,5],[2],[6]] [1,0,1,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,2,1]=>[6,1,4,2,3,5]=>[[1,3,5,6],[2],[4]] [1,0,1,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,2,1]=>[6,1,4,2,5,3]=>[[1,3,5],[2,6],[4]] [1,0,1,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,2,1]=>[6,1,5,3,2,4]=>[[1,3,6],[2],[4],[5]] [1,0,1,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,2,1]=>[6,1,5,3,4,2]=>[[1,3,5],[2],[4],[6]] [1,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,2,1]=>[6,1,5,4,3,2]=>[[1,3],[2],[4],[5],[6]] [1,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,2,1]=>[6,1,4,5,2,3]=>[[1,3,4],[2,6],[5]] [1,0,1,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,2,1]=>[6,1,4,5,3,2]=>[[1,3,4],[2],[5],[6]] [1,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[6,1,4,3,5,2]=>[[1,3,5],[2],[4],[6]] [1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,2,1]=>[6,1,3,4,5,2]=>[[1,3,4,5],[2],[6]] [1,0,1,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,3,1]=>[6,3,1,2,4,5]=>[[1,4,5,6],[2],[3]] [1,0,1,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,3,1]=>[6,3,1,2,5,4]=>[[1,4,5],[2,6],[3]] [1,0,1,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,3,1]=>[6,3,1,5,2,4]=>[[1,4,6],[2,5],[3]] [1,0,1,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,3,1]=>[6,3,1,5,4,2]=>[[1,4],[2,5],[3],[6]] [1,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,3,1]=>[6,3,1,4,5,2]=>[[1,4,5],[2,6],[3]] [1,0,1,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,4,1]=>[6,4,2,1,3,5]=>[[1,5,6],[2],[3],[4]] [1,0,1,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,4,1]=>[6,4,2,1,5,3]=>[[1,5],[2,6],[3],[4]] [1,0,1,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,1]=>[6,5,2,3,1,4]=>[[1,4,6],[2],[3],[5]] [1,0,1,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,1]=>[6,5,2,3,4,1]=>[[1,4,5],[2],[3],[6]] [1,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,6,1]=>[6,5,2,4,3,1]=>[[1,4],[2],[3],[5],[6]] [1,0,1,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,5,1]=>[6,5,4,2,1,3]=>[[1,6],[2],[3],[4],[5]] [1,0,1,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,6,1]=>[6,5,4,2,3,1]=>[[1,5],[2],[3],[4],[6]] [1,0,1,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]] [1,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]] [1,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,4,1]=>[6,3,4,1,2,5]=>[[1,3,6],[2,5],[4]] [1,0,1,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,4,1]=>[6,3,4,1,5,2]=>[[1,3,5],[2,6],[4]] [1,0,1,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,5,1]=>[6,3,5,2,1,4]=>[[1,3],[2,6],[4],[5]] [1,0,1,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,6,1]=>[6,3,5,2,4,1]=>[[1,3],[2,5],[4],[6]] [1,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,6,1]=>[6,3,5,4,2,1]=>[[1,3],[2],[4],[5],[6]] [1,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1]=>[6,4,2,5,1,3]=>[[1,4],[2,6],[3],[5]] [1,0,1,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[6,4,2,5,3,1]=>[[1,4],[2,5],[3],[6]] [1,0,1,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,6,1]=>[6,4,2,3,5,1]=>[[1,4,5],[2],[3],[6]] [1,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]] [1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,5,1]=>[6,3,4,5,1,2]=>[[1,3,4],[2,6],[5]] [1,0,1,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,6,1]=>[6,3,4,5,2,1]=>[[1,3,4],[2],[5],[6]] [1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,6,1]=>[6,3,4,2,5,1]=>[[1,3,5],[2],[4],[6]] [1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[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]=>[[1,3,4,5],[2],[6]] [1,1,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,1,2]=>[2,6,1,3,4,5]=>[[1,2,5,6],[3,4]] [1,1,0,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,1,2]=>[2,6,1,3,5,4]=>[[1,2,5],[3,4],[6]] [1,1,0,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,1,2]=>[2,6,1,5,3,4]=>[[1,2,6],[3,4],[5]] [1,1,0,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,1,2]=>[2,6,1,5,4,3]=>[[1,2],[3,4],[5],[6]] [1,1,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,1,2]=>[2,6,1,4,5,3]=>[[1,2,5],[3,4],[6]] [1,1,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,1,2]=>[2,6,4,1,3,5]=>[[1,2,6],[3,5],[4]] [1,1,0,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[[1,2,5],[3,6],[4]] [1,1,0,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,1,2]=>[2,6,5,3,1,4]=>[[1,2,6],[3],[4],[5]] [1,1,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,1,2]=>[2,6,5,3,4,1]=>[[1,2,5],[3],[4],[6]] [1,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,1,2]=>[2,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6]] [1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,1,2]=>[2,6,4,5,1,3]=>[[1,2,4],[3,6],[5]] [1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,1,2]=>[2,6,4,5,3,1]=>[[1,2,4],[3],[5],[6]] [1,1,0,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,1,2]=>[2,6,4,3,5,1]=>[[1,2,5],[3],[4],[6]] [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[1,2,4,5],[3],[6]] [1,1,0,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,1,3]=>[3,1,6,2,4,5]=>[[1,3,5,6],[2,4]] [1,1,0,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,1,3]=>[3,1,6,2,5,4]=>[[1,3,5],[2,4],[6]] [1,1,0,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,1,3]=>[3,1,6,5,2,4]=>[[1,3,6],[2,4],[5]] [1,1,0,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,1,3]=>[3,1,6,5,4,2]=>[[1,3],[2,4],[5],[6]] [1,1,0,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,1,3]=>[3,1,6,4,5,2]=>[[1,3,5],[2,4],[6]] [1,1,0,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,1,4]=>[4,1,2,6,3,5]=>[[1,3,4,6],[2,5]] [1,1,0,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,1,4]=>[4,1,2,6,5,3]=>[[1,3,4],[2,5],[6]] [1,1,0,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,1,5]=>[5,1,2,3,6,4]=>[[1,3,4,5],[2,6]] [1,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,1,6]=>[5,1,2,3,4,6]=>[[1,3,4,5,6],[2]] [1,1,0,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,1,6]=>[5,1,2,4,3,6]=>[[1,3,4,6],[2],[5]] [1,1,0,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,1,5]=>[5,1,4,2,6,3]=>[[1,3,5],[2,6],[4]] [1,1,0,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,1,6]=>[5,1,4,2,3,6]=>[[1,3,5,6],[2],[4]] [1,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,1,6]=>[5,1,4,3,2,6]=>[[1,3,6],[2],[4],[5]] [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,1,6]=>[5,1,3,4,2,6]=>[[1,3,4,6],[2],[5]] [1,1,0,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,1,4]=>[4,3,1,6,2,5]=>[[1,4,6],[2,5],[3]] [1,1,0,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,1,4]=>[4,3,1,6,5,2]=>[[1,4],[2,5],[3,6]] [1,1,0,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,1,5]=>[5,3,1,2,6,4]=>[[1,4,5],[2,6],[3]] [1,1,0,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,1,6]=>[5,3,1,2,4,6]=>[[1,4,5,6],[2],[3]] [1,1,0,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,1,6]=>[5,3,1,4,2,6]=>[[1,4,6],[2,5],[3]] [1,1,0,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,1,5]=>[5,4,2,1,6,3]=>[[1,5],[2,6],[3],[4]] [1,1,0,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,1,6]=>[5,4,2,1,3,6]=>[[1,5,6],[2],[3],[4]] [1,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,1,6]=>[5,4,2,3,1,6]=>[[1,4,6],[2],[3],[5]] [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]] [1,1,0,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,1,5]=>[5,3,4,1,6,2]=>[[1,3,5],[2,6],[4]] [1,1,0,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,1,6]=>[5,3,4,1,2,6]=>[[1,3,6],[2,5],[4]] [1,1,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6]=>[5,3,4,2,1,6]=>[[1,3,6],[2],[4],[5]] [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]] [1,1,1,0,0,0,1,0,1,0,1,0]=>[6,5,4,1,2,3]=>[2,3,6,1,4,5]=>[[1,2,3,6],[4,5]] [1,1,1,0,0,0,1,0,1,1,0,0]=>[5,6,4,1,2,3]=>[2,3,6,1,5,4]=>[[1,2,3],[4,5],[6]] [1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,5,1,2,3]=>[2,3,6,5,1,4]=>[[1,2,3],[4,6],[5]] [1,1,1,0,0,0,1,1,0,1,0,0]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[[1,2,3],[4],[5],[6]] [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[1,2,3,5],[4],[6]] [1,1,1,0,0,1,0,0,1,0,1,0]=>[6,5,3,1,2,4]=>[2,4,1,6,3,5]=>[[1,2,4],[3,5,6]] [1,1,1,0,0,1,0,0,1,1,0,0]=>[5,6,3,1,2,4]=>[2,4,1,6,5,3]=>[[1,2,4],[3,5],[6]] [1,1,1,0,0,1,0,1,0,0,1,0]=>[6,4,3,1,2,5]=>[2,5,1,3,6,4]=>[[1,2,5],[3,4,6]] [1,1,1,0,0,1,0,1,0,1,0,0]=>[5,4,3,1,2,6]=>[2,5,1,3,4,6]=>[[1,2,5,6],[3,4]] [1,1,1,0,0,1,0,1,1,0,0,0]=>[4,5,3,1,2,6]=>[2,5,1,4,3,6]=>[[1,2,6],[3,4],[5]] [1,1,1,0,0,1,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>[2,5,4,1,6,3]=>[[1,2,5],[3,6],[4]] [1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[[1,2,6],[3,5],[4]] [1,1,1,0,0,1,1,0,1,0,0,0]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[[1,2,6],[3],[4],[5]] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[1,2,4,6],[3],[5]] [1,1,1,0,1,0,0,0,1,0,1,0]=>[6,5,2,1,3,4]=>[3,1,4,6,2,5]=>[[1,3,4],[2,5,6]] [1,1,1,0,1,0,0,0,1,1,0,0]=>[5,6,2,1,3,4]=>[3,1,4,6,5,2]=>[[1,3,4],[2,5],[6]] [1,1,1,0,1,0,0,1,0,0,1,0]=>[6,4,2,1,3,5]=>[3,1,5,2,6,4]=>[[1,3,5],[2,4,6]] [1,1,1,0,1,0,0,1,0,1,0,0]=>[5,4,2,1,3,6]=>[3,1,5,2,4,6]=>[[1,3,5,6],[2,4]] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,5,2,1,3,6]=>[3,1,5,4,2,6]=>[[1,3,6],[2,4],[5]] [1,1,1,0,1,0,1,0,0,0,1,0]=>[6,3,2,1,4,5]=>[4,1,2,5,6,3]=>[[1,3,4,5],[2,6]] [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,3,2,1,4,6]=>[4,1,2,5,3,6]=>[[1,3,4,6],[2,5]] [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,5,6]=>[4,1,2,3,5,6]=>[[1,3,4,5,6],[2]] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,2,1,5,6]=>[4,1,3,2,5,6]=>[[1,3,5,6],[2],[4]] [1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,1,4,5]=>[4,3,1,5,6,2]=>[[1,4,5],[2,6],[3]] [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,3,1,4,6]=>[4,3,1,5,2,6]=>[[1,4,6],[2,5],[3]] [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,1,5,6]=>[4,3,1,2,5,6]=>[[1,4,5,6],[2],[3]] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]] [1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]] [1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,2,3,4]=>[2,3,4,6,1,5]=>[[1,2,3,4],[5,6]] [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],[5],[6]] [1,1,1,1,0,0,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>[2,3,5,1,6,4]=>[[1,2,3,5],[4,6]] [1,1,1,1,0,0,0,1,0,1,0,0]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[[1,2,3,6],[4,5]] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[1,2,3,6],[4],[5]] [1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,2,4,5]=>[2,4,1,5,6,3]=>[[1,2,4,5],[3,6]] [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[[1,2,4,6],[3,5]] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[[1,2,5,6],[3,4]] [1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[1,2,5,6],[3],[4]] [1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,3,4,5]=>[3,1,4,5,6,2]=>[[1,3,4,5],[2,6]] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[[1,3,4,6],[2,5]] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[[1,3,5,6],[2,4]] [1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[1,3,4,5,6],[2]] [1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]] [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]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[1,2,3,4,6],[5]] [1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[1,2,3,5,6],[4]] [1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[[1,2,4,5,6],[3]] [1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]] [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]=>[7,6,5,4,3,2,1]=>[7,1,2,3,4,5,6]=>[[1,3,4,5,6,7],[2]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,2,1]=>[7,1,2,3,4,6,5]=>[[1,3,4,5,6],[2],[7]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,2,1]=>[7,1,2,3,6,4,5]=>[[1,3,4,5,7],[2],[6]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,2,1]=>[7,1,2,3,6,5,4]=>[[1,3,4,5],[2],[6],[7]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,2,1]=>[7,1,2,3,5,6,4]=>[[1,3,4,5,6],[2],[7]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,2,1]=>[7,1,2,5,3,4,6]=>[[1,3,4,6,7],[2],[5]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,2,1]=>[7,1,2,5,3,6,4]=>[[1,3,4,6],[2,7],[5]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,2,1]=>[7,1,2,6,4,3,5]=>[[1,3,4,7],[2],[5],[6]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,2,1]=>[7,1,2,6,4,5,3]=>[[1,3,4,6],[2],[5],[7]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,2,1]=>[7,1,2,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,2,1]=>[7,1,2,5,6,3,4]=>[[1,3,4,5],[2,7],[6]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,2,1]=>[7,1,2,5,6,4,3]=>[[1,3,4,5],[2],[6],[7]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,2,1]=>[7,1,2,5,4,6,3]=>[[1,3,4,6],[2],[5],[7]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[7,1,2,4,5,6,3]=>[[1,3,4,5,6],[2],[7]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,2,1]=>[7,1,4,2,3,5,6]=>[[1,3,5,6,7],[2],[4]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,2,1]=>[7,1,4,2,3,6,5]=>[[1,3,5,6],[2,7],[4]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,2,1]=>[7,1,4,2,6,3,5]=>[[1,3,5,7],[2,6],[4]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,2,1]=>[7,1,4,2,6,5,3]=>[[1,3,5],[2,6],[4],[7]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,2,1]=>[7,1,4,2,5,6,3]=>[[1,3,5,6],[2,7],[4]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,2,1]=>[7,1,5,3,2,4,6]=>[[1,3,6,7],[2],[4],[5]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,2,1]=>[7,1,5,3,2,6,4]=>[[1,3,6],[2,7],[4],[5]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,2,1]=>[7,1,6,3,4,2,5]=>[[1,3,5,7],[2],[4],[6]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,2,1]=>[7,1,6,3,4,5,2]=>[[1,3,5,6],[2],[4],[7]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,2,1]=>[7,1,6,3,5,4,2]=>[[1,3,5],[2],[4],[6],[7]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,2,1]=>[7,1,6,5,3,2,4]=>[[1,3,7],[2],[4],[5],[6]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,2,1]=>[7,1,6,5,3,4,2]=>[[1,3,6],[2],[4],[5],[7]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[7,1,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,2,1]=>[7,1,6,4,5,3,2]=>[[1,3,5],[2],[4],[6],[7]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,2,1]=>[7,1,4,5,2,3,6]=>[[1,3,4,7],[2,6],[5]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,2,1]=>[7,1,4,5,2,6,3]=>[[1,3,4,6],[2,7],[5]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,2,1]=>[7,1,4,6,3,2,5]=>[[1,3,4],[2,7],[5],[6]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,2,1]=>[7,1,4,6,3,5,2]=>[[1,3,4],[2,6],[5],[7]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,2,1]=>[7,1,4,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,2,1]=>[7,1,5,3,6,2,4]=>[[1,3,5],[2,7],[4],[6]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,2,1]=>[7,1,5,3,6,4,2]=>[[1,3,5],[2,6],[4],[7]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[7,1,5,3,4,6,2]=>[[1,3,5,6],[2],[4],[7]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,2,1]=>[7,1,5,4,3,6,2]=>[[1,3,6],[2],[4],[5],[7]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1]=>[7,1,4,5,6,2,3]=>[[1,3,4,5],[2,7],[6]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,2,1]=>[7,1,4,5,6,3,2]=>[[1,3,4,5],[2],[6],[7]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,2,1]=>[7,1,4,5,3,6,2]=>[[1,3,4,6],[2],[5],[7]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,2,1]=>[7,1,4,3,5,6,2]=>[[1,3,5,6],[2],[4],[7]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,2,1]=>[7,1,3,4,5,6,2]=>[[1,3,4,5,6],[2],[7]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,3,1]=>[7,3,1,2,4,5,6]=>[[1,4,5,6,7],[2],[3]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,3,1]=>[7,3,1,2,4,6,5]=>[[1,4,5,6],[2,7],[3]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,3,1]=>[7,3,1,2,6,4,5]=>[[1,4,5,7],[2,6],[3]] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,3,1]=>[7,3,1,2,6,5,4]=>[[1,4,5],[2,6],[3],[7]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,3,1]=>[7,3,1,2,5,6,4]=>[[1,4,5,6],[2,7],[3]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,3,1]=>[7,3,1,5,2,4,6]=>[[1,4,6,7],[2,5],[3]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,3,1]=>[7,3,1,5,2,6,4]=>[[1,4,6],[2,5,7],[3]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,3,1]=>[7,3,1,6,4,2,5]=>[[1,4,7],[2,5],[3],[6]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,3,1]=>[7,3,1,6,4,5,2]=>[[1,4,6],[2,5],[3],[7]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,3,1]=>[7,3,1,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,3,1]=>[7,3,1,5,6,2,4]=>[[1,4,5],[2,6,7],[3]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,3,1]=>[7,3,1,5,6,4,2]=>[[1,4,5],[2,6],[3],[7]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,3,1]=>[7,3,1,5,4,6,2]=>[[1,4,6],[2,5],[3],[7]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,3,1]=>[7,3,1,4,5,6,2]=>[[1,4,5,6],[2,7],[3]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,4,1]=>[7,4,2,1,3,5,6]=>[[1,5,6,7],[2],[3],[4]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,4,1]=>[7,4,2,1,3,6,5]=>[[1,5,6],[2,7],[3],[4]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,4,1]=>[7,4,2,1,6,3,5]=>[[1,5,7],[2,6],[3],[4]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,4,1]=>[7,4,2,1,6,5,3]=>[[1,5],[2,6],[3,7],[4]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,4,1]=>[7,4,2,1,5,6,3]=>[[1,5,6],[2,7],[3],[4]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,5,1]=>[7,5,2,3,1,4,6]=>[[1,4,6,7],[2],[3],[5]] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,5,1]=>[7,5,2,3,1,6,4]=>[[1,4,6],[2,7],[3],[5]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,6,1]=>[7,6,2,3,4,1,5]=>[[1,4,5,7],[2],[3],[6]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,1]=>[7,6,2,3,4,5,1]=>[[1,4,5,6],[2],[3],[7]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,7,1]=>[7,6,2,3,5,4,1]=>[[1,4,5],[2],[3],[6],[7]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,6,1]=>[7,6,2,5,3,1,4]=>[[1,4,7],[2],[3],[5],[6]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,7,1]=>[7,6,2,5,3,4,1]=>[[1,4,6],[2],[3],[5],[7]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,7,1]=>[7,6,2,5,4,3,1]=>[[1,4],[2],[3],[5],[6],[7]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,7,1]=>[7,6,2,4,5,3,1]=>[[1,4,5],[2],[3],[6],[7]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,5,1]=>[7,5,4,2,1,3,6]=>[[1,6,7],[2],[3],[4],[5]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,5,1]=>[7,5,4,2,1,6,3]=>[[1,6],[2,7],[3],[4],[5]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,6,1]=>[7,6,4,2,3,1,5]=>[[1,5,7],[2],[3],[4],[6]] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,1]=>[7,6,4,2,3,5,1]=>[[1,5,6],[2],[3],[4],[7]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,7,1]=>[7,6,4,2,5,3,1]=>[[1,5],[2,6],[3],[4],[7]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1]=>[7,6,5,3,2,1,4]=>[[1,7],[2],[3],[4],[5],[6]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[7,6,5,3,2,4,1]=>[[1,6],[2],[3],[4],[5],[7]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,7,1]=>[7,6,5,3,4,2,1]=>[[1,5],[2],[3],[4],[6],[7]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,6,1]=>[7,6,4,5,2,1,3]=>[[1,4],[2,7],[3],[5],[6]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[7,6,4,5,2,3,1]=>[[1,4],[2,6],[3],[5],[7]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,7,1]=>[7,6,4,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,4,1]=>[7,3,4,1,2,5,6]=>[[1,3,6,7],[2,5],[4]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,4,1]=>[7,3,4,1,2,6,5]=>[[1,3,6],[2,5,7],[4]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,4,1]=>[7,3,4,1,6,2,5]=>[[1,3,5],[2,6,7],[4]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,4,1]=>[7,3,4,1,6,5,2]=>[[1,3,5],[2,6],[4],[7]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,4,1]=>[7,3,4,1,5,6,2]=>[[1,3,5,6],[2,7],[4]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,5,1]=>[7,3,5,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,5,1]=>[7,3,5,2,1,6,4]=>[[1,3,6],[2,7],[4],[5]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,6,1]=>[7,3,6,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,7,1]=>[7,3,6,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,7,1]=>[7,3,6,2,5,4,1]=>[[1,3],[2,5],[4],[6],[7]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,6,1]=>[7,3,6,5,2,1,4]=>[[1,3],[2,7],[4],[5],[6]] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,7,1]=>[7,3,6,5,2,4,1]=>[[1,3],[2,6],[4],[5],[7]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,7,1]=>[7,3,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,7,1]=>[7,3,6,4,5,2,1]=>[[1,3,5],[2],[4],[6],[7]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,5,1]=>[7,4,2,5,1,3,6]=>[[1,4,7],[2,6],[3],[5]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,5,1]=>[7,4,2,5,1,6,3]=>[[1,4,6],[2,7],[3],[5]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,6,1]=>[7,4,2,6,3,1,5]=>[[1,4,7],[2,5],[3],[6]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,7,1]=>[7,4,2,6,3,5,1]=>[[1,4,6],[2,5],[3],[7]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,7,1]=>[7,4,2,6,5,3,1]=>[[1,4],[2,5],[3],[6],[7]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,6,1]=>[7,5,2,3,6,1,4]=>[[1,4,5],[2,7],[3],[6]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[7,5,2,3,6,4,1]=>[[1,4,5],[2,6],[3],[7]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,7,1]=>[7,5,2,3,4,6,1]=>[[1,4,5,6],[2],[3],[7]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,7,1]=>[7,5,2,4,3,6,1]=>[[1,4,6],[2],[3],[5],[7]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,6,1]=>[7,5,4,2,6,1,3]=>[[1,5],[2,7],[3],[4],[6]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[7,5,4,2,6,3,1]=>[[1,5],[2,6],[3],[4],[7]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,7,1]=>[7,5,4,2,3,6,1]=>[[1,5,6],[2],[3],[4],[7]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,5,1]=>[7,3,4,5,1,2,6]=>[[1,3,4,7],[2,6],[5]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,5,1]=>[7,3,4,5,1,6,2]=>[[1,3,4,6],[2,7],[5]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,6,1]=>[7,3,4,6,2,1,5]=>[[1,3,4],[2,7],[5],[6]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,7,1]=>[7,3,4,6,2,5,1]=>[[1,3,4],[2,6],[5],[7]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,7,1]=>[7,3,4,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,6,1]=>[7,3,5,2,6,1,4]=>[[1,3,5],[2,7],[4],[6]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,7,1]=>[7,3,5,2,6,4,1]=>[[1,3,5],[2,6],[4],[7]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,7,1]=>[7,3,5,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,7,1]=>[7,3,5,4,2,6,1]=>[[1,3,6],[2],[4],[5],[7]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,6,1]=>[7,4,2,5,6,1,3]=>[[1,4,5],[2,7],[3],[6]] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[7,4,2,5,6,3,1]=>[[1,4,5],[2,6],[3],[7]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,7,1]=>[7,4,2,5,3,6,1]=>[[1,4,6],[2,5],[3],[7]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,7,1]=>[7,4,2,3,5,6,1]=>[[1,4,5,6],[2],[3],[7]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,6,1]=>[7,3,4,5,6,1,2]=>[[1,3,4,5],[2,7],[6]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[7,3,4,5,6,2,1]=>[[1,3,4,5],[2],[6],[7]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,7,1]=>[7,3,4,5,2,6,1]=>[[1,3,4,6],[2],[5],[7]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,7,1]=>[7,3,4,2,5,6,1]=>[[1,3,5,6],[2],[4],[7]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[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]=>[[1,3,4,5,6],[2],[7]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,1,2]=>[2,7,1,3,4,5,6]=>[[1,2,5,6,7],[3,4]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,1,2]=>[2,7,1,3,4,6,5]=>[[1,2,5,6],[3,4],[7]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,1,2]=>[2,7,1,3,6,4,5]=>[[1,2,5,7],[3,4],[6]] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,1,2]=>[2,7,1,3,6,5,4]=>[[1,2,5],[3,4],[6],[7]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,1,2]=>[2,7,1,3,5,6,4]=>[[1,2,5,6],[3,4],[7]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,1,2]=>[2,7,1,5,3,4,6]=>[[1,2,6,7],[3,4],[5]] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,1,2]=>[2,7,1,5,3,6,4]=>[[1,2,6],[3,4,7],[5]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,1,2]=>[2,7,1,6,4,3,5]=>[[1,2,7],[3,4],[5],[6]] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,1,2]=>[2,7,1,6,4,5,3]=>[[1,2,6],[3,4],[5],[7]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,1,2]=>[2,7,1,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,1,2]=>[2,7,1,5,6,3,4]=>[[1,2,5],[3,4,7],[6]] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,1,2]=>[2,7,1,5,6,4,3]=>[[1,2,5],[3,4],[6],[7]] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,1,2]=>[2,7,1,5,4,6,3]=>[[1,2,6],[3,4],[5],[7]] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,1,2]=>[2,7,1,4,5,6,3]=>[[1,2,5,6],[3,4],[7]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,1,2]=>[2,7,4,1,3,5,6]=>[[1,2,6,7],[3,5],[4]] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,1,2]=>[2,7,4,1,3,6,5]=>[[1,2,6],[3,5,7],[4]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,1,2]=>[2,7,4,1,6,3,5]=>[[1,2,5],[3,6,7],[4]] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,1,2]=>[2,7,4,1,6,5,3]=>[[1,2,5],[3,6],[4],[7]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,1,2]=>[2,7,4,1,5,6,3]=>[[1,2,5,6],[3,7],[4]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,1,2]=>[2,7,5,3,1,4,6]=>[[1,2,6,7],[3],[4],[5]] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,1,2]=>[2,7,5,3,1,6,4]=>[[1,2,6],[3,7],[4],[5]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,1,2]=>[2,7,6,3,4,1,5]=>[[1,2,5,7],[3],[4],[6]] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,1,2]=>[2,7,6,3,4,5,1]=>[[1,2,5,6],[3],[4],[7]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,1,2]=>[2,7,6,3,5,4,1]=>[[1,2,5],[3],[4],[6],[7]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,1,2]=>[2,7,6,5,3,1,4]=>[[1,2,7],[3],[4],[5],[6]] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,1,2]=>[2,7,6,5,3,4,1]=>[[1,2,6],[3],[4],[5],[7]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,1,2]=>[2,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7]] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,1,2]=>[2,7,6,4,5,3,1]=>[[1,2,5],[3],[4],[6],[7]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,1,2]=>[2,7,4,5,1,3,6]=>[[1,2,4,7],[3,6],[5]] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,1,2]=>[2,7,4,5,1,6,3]=>[[1,2,4,6],[3,7],[5]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,1,2]=>[2,7,4,6,3,1,5]=>[[1,2,4],[3,7],[5],[6]] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,1,2]=>[2,7,4,6,3,5,1]=>[[1,2,4],[3,6],[5],[7]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,1,2]=>[2,7,4,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,1,2]=>[2,7,5,3,6,1,4]=>[[1,2,5],[3,7],[4],[6]] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,1,2]=>[2,7,5,3,6,4,1]=>[[1,2,5],[3,6],[4],[7]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,1,2]=>[2,7,5,3,4,6,1]=>[[1,2,5,6],[3],[4],[7]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,1,2]=>[2,7,5,4,3,6,1]=>[[1,2,6],[3],[4],[5],[7]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,1,2]=>[2,7,4,5,6,1,3]=>[[1,2,4,5],[3,7],[6]] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,1,2]=>[2,7,4,5,6,3,1]=>[[1,2,4,5],[3],[6],[7]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,1,2]=>[2,7,4,5,3,6,1]=>[[1,2,4,6],[3],[5],[7]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,1,2]=>[2,7,4,3,5,6,1]=>[[1,2,5,6],[3],[4],[7]] [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]=>[[1,2,4,5,6],[3],[7]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,1,3]=>[3,1,7,2,4,5,6]=>[[1,3,5,6,7],[2,4]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,1,3]=>[3,1,7,2,4,6,5]=>[[1,3,5,6],[2,4],[7]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,1,3]=>[3,1,7,2,6,4,5]=>[[1,3,5,7],[2,4],[6]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,1,3]=>[3,1,7,2,6,5,4]=>[[1,3,5],[2,4],[6],[7]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,1,3]=>[3,1,7,2,5,6,4]=>[[1,3,5,6],[2,4],[7]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,1,3]=>[3,1,7,5,2,4,6]=>[[1,3,6,7],[2,4],[5]] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,1,3]=>[3,1,7,5,2,6,4]=>[[1,3,6],[2,4,7],[5]] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,1,3]=>[3,1,7,6,4,2,5]=>[[1,3,7],[2,4],[5],[6]] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,1,3]=>[3,1,7,6,4,5,2]=>[[1,3,6],[2,4],[5],[7]] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,1,3]=>[3,1,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7]] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,1,3]=>[3,1,7,5,6,2,4]=>[[1,3,5],[2,4,7],[6]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,1,3]=>[3,1,7,5,6,4,2]=>[[1,3,5],[2,4],[6],[7]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,1,3]=>[3,1,7,5,4,6,2]=>[[1,3,6],[2,4],[5],[7]] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,1,3]=>[3,1,7,4,5,6,2]=>[[1,3,5,6],[2,4],[7]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,1,4]=>[4,1,2,7,3,5,6]=>[[1,3,4,6,7],[2,5]] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,1,4]=>[4,1,2,7,3,6,5]=>[[1,3,4,6],[2,5],[7]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,1,4]=>[4,1,2,7,6,3,5]=>[[1,3,4,7],[2,5],[6]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,1,4]=>[4,1,2,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,1,4]=>[4,1,2,7,5,6,3]=>[[1,3,4,6],[2,5],[7]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,1,5]=>[5,1,2,3,7,4,6]=>[[1,3,4,5,7],[2,6]] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,1,5]=>[5,1,2,3,7,6,4]=>[[1,3,4,5],[2,6],[7]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[[1,3,4,5,6],[2,7]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,1,7]=>[6,1,2,3,4,5,7]=>[[1,3,4,5,6,7],[2]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,1,7]=>[6,1,2,3,5,4,7]=>[[1,3,4,5,7],[2],[6]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,1,6]=>[6,1,2,5,3,7,4]=>[[1,3,4,6],[2,7],[5]] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,1,7]=>[6,1,2,5,3,4,7]=>[[1,3,4,6,7],[2],[5]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,1,7]=>[6,1,2,5,4,3,7]=>[[1,3,4,7],[2],[5],[6]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,1,7]=>[6,1,2,4,5,3,7]=>[[1,3,4,5,7],[2],[6]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,1,5]=>[5,1,4,2,7,3,6]=>[[1,3,5,7],[2,6],[4]] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,1,5]=>[5,1,4,2,7,6,3]=>[[1,3,5],[2,6],[4,7]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,1,6]=>[6,1,4,2,3,7,5]=>[[1,3,5,6],[2,7],[4]] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,1,7]=>[6,1,4,2,3,5,7]=>[[1,3,5,6,7],[2],[4]] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,1,7]=>[6,1,4,2,5,3,7]=>[[1,3,5,7],[2,6],[4]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,1,6]=>[6,1,5,3,2,7,4]=>[[1,3,6],[2,7],[4],[5]] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,1,7]=>[6,1,5,3,2,4,7]=>[[1,3,6,7],[2],[4],[5]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,1,7]=>[6,1,5,3,4,2,7]=>[[1,3,5,7],[2],[4],[6]] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,1,7]=>[6,1,5,4,3,2,7]=>[[1,3,7],[2],[4],[5],[6]] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,1,6]=>[6,1,4,5,2,7,3]=>[[1,3,4,6],[2,7],[5]] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,1,7]=>[6,1,4,5,2,3,7]=>[[1,3,4,7],[2,6],[5]] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,1,7]=>[6,1,4,5,3,2,7]=>[[1,3,4,7],[2],[5],[6]] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,1,7]=>[6,1,4,3,5,2,7]=>[[1,3,5,7],[2],[4],[6]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,1,7]=>[6,1,3,4,5,2,7]=>[[1,3,4,5,7],[2],[6]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,1,4]=>[4,3,1,7,2,5,6]=>[[1,4,6,7],[2,5],[3]] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,1,4]=>[4,3,1,7,2,6,5]=>[[1,4,6],[2,5],[3,7]] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,1,4]=>[4,3,1,7,6,2,5]=>[[1,4,7],[2,5],[3,6]] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,1,4]=>[4,3,1,7,6,5,2]=>[[1,4],[2,5],[3,6],[7]] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,1,4]=>[4,3,1,7,5,6,2]=>[[1,4,6],[2,5],[3,7]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,1,5]=>[5,3,1,2,7,4,6]=>[[1,4,5,7],[2,6],[3]] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,1,5]=>[5,3,1,2,7,6,4]=>[[1,4,5],[2,6],[3,7]] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,1,6]=>[6,3,1,2,4,7,5]=>[[1,4,5,6],[2,7],[3]] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,1,7]=>[6,3,1,2,4,5,7]=>[[1,4,5,6,7],[2],[3]] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,1,7]=>[6,3,1,2,5,4,7]=>[[1,4,5,7],[2,6],[3]] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,1,6]=>[6,3,1,5,2,7,4]=>[[1,4,6],[2,5,7],[3]] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,1,7]=>[6,3,1,5,2,4,7]=>[[1,4,6,7],[2,5],[3]] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,1,7]=>[6,3,1,5,4,2,7]=>[[1,4,7],[2,5],[3],[6]] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,1,7]=>[6,3,1,4,5,2,7]=>[[1,4,5,7],[2,6],[3]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,1,5]=>[5,4,2,1,7,3,6]=>[[1,5,7],[2,6],[3],[4]] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,1,5]=>[5,4,2,1,7,6,3]=>[[1,5],[2,6],[3,7],[4]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,1,6]=>[6,4,2,1,3,7,5]=>[[1,5,6],[2,7],[3],[4]] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,1,7]=>[6,4,2,1,3,5,7]=>[[1,5,6,7],[2],[3],[4]] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,1,7]=>[6,4,2,1,5,3,7]=>[[1,5,7],[2,6],[3],[4]] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,1,6]=>[6,5,2,3,1,7,4]=>[[1,4,6],[2,7],[3],[5]] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,1,7]=>[6,5,2,3,1,4,7]=>[[1,4,6,7],[2],[3],[5]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,1,7]=>[6,5,2,3,4,1,7]=>[[1,4,5,7],[2],[3],[6]] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,1,7]=>[6,5,2,4,3,1,7]=>[[1,4,7],[2],[3],[5],[6]] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,1,6]=>[6,5,4,2,1,7,3]=>[[1,6],[2,7],[3],[4],[5]] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,1,7]=>[6,5,4,2,1,3,7]=>[[1,6,7],[2],[3],[4],[5]] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,1,7]=>[6,5,4,2,3,1,7]=>[[1,5,7],[2],[3],[4],[6]] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,1,5]=>[5,3,4,1,7,2,6]=>[[1,3,5],[2,6,7],[4]] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,1,5]=>[5,3,4,1,7,6,2]=>[[1,3,5],[2,6],[4,7]] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,1,6]=>[6,3,4,1,2,7,5]=>[[1,3,6],[2,5,7],[4]] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,1,7]=>[6,3,4,1,2,5,7]=>[[1,3,6,7],[2,5],[4]] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,1,7]=>[6,3,4,1,5,2,7]=>[[1,3,5,7],[2,6],[4]] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,1,6]=>[6,3,5,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,1,7]=>[6,3,5,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,1,7]=>[6,3,5,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,1,7]=>[6,3,5,4,2,1,7]=>[[1,3,7],[2],[4],[5],[6]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,1,6]=>[6,4,2,5,1,7,3]=>[[1,4,6],[2,7],[3],[5]] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,1,7]=>[6,4,2,5,1,3,7]=>[[1,4,7],[2,6],[3],[5]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,1,7]=>[6,4,2,5,3,1,7]=>[[1,4,7],[2,5],[3],[6]] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,1,7]=>[6,4,2,3,5,1,7]=>[[1,4,5,7],[2],[3],[6]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,1,6]=>[6,3,4,5,1,7,2]=>[[1,3,4,6],[2,7],[5]] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,1,7]=>[6,3,4,5,1,2,7]=>[[1,3,4,7],[2,6],[5]] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,1,7]=>[6,3,4,5,2,1,7]=>[[1,3,4,7],[2],[5],[6]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,1,7]=>[6,3,4,2,5,1,7]=>[[1,3,5,7],[2],[4],[6]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,1,2,3]=>[2,3,7,1,4,5,6]=>[[1,2,3,6,7],[4,5]] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,1,2,3]=>[2,3,7,1,4,6,5]=>[[1,2,3,6],[4,5],[7]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,1,2,3]=>[2,3,7,1,6,4,5]=>[[1,2,3,7],[4,5],[6]] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,1,2,3]=>[2,3,7,1,6,5,4]=>[[1,2,3],[4,5],[6],[7]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,1,2,3]=>[2,3,7,1,5,6,4]=>[[1,2,3,6],[4,5],[7]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,1,2,3]=>[2,3,7,5,1,4,6]=>[[1,2,3,7],[4,6],[5]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,1,2,3]=>[2,3,7,5,1,6,4]=>[[1,2,3,6],[4,7],[5]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,1,2,3]=>[2,3,7,6,4,1,5]=>[[1,2,3,7],[4],[5],[6]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,1,2,3]=>[2,3,7,6,4,5,1]=>[[1,2,3,6],[4],[5],[7]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,1,2,3]=>[2,3,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,1,2,3]=>[2,3,7,5,6,1,4]=>[[1,2,3,5],[4,7],[6]] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,1,2,3]=>[2,3,7,5,6,4,1]=>[[1,2,3,5],[4],[6],[7]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,1,2,3]=>[2,3,7,5,4,6,1]=>[[1,2,3,6],[4],[5],[7]] [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]=>[[1,2,3,5,6],[4],[7]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,1,2,4]=>[2,4,1,7,3,5,6]=>[[1,2,4,7],[3,5,6]] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,1,2,4]=>[2,4,1,7,3,6,5]=>[[1,2,4],[3,5,6],[7]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,1,2,4]=>[2,4,1,7,6,3,5]=>[[1,2,4],[3,5,7],[6]] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,1,2,4]=>[2,4,1,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,1,2,4]=>[2,4,1,7,5,6,3]=>[[1,2,4,6],[3,5],[7]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,1,2,5]=>[2,5,1,3,7,4,6]=>[[1,2,5,7],[3,4,6]] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,1,2,5]=>[2,5,1,3,7,6,4]=>[[1,2,5],[3,4,6],[7]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,1,2,6]=>[2,6,1,3,4,7,5]=>[[1,2,5,6],[3,4,7]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,1,2,7]=>[2,6,1,3,4,5,7]=>[[1,2,5,6,7],[3,4]] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,1,2,7]=>[2,6,1,3,5,4,7]=>[[1,2,5,7],[3,4],[6]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,1,2,6]=>[2,6,1,5,3,7,4]=>[[1,2,6],[3,4,7],[5]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,1,2,7]=>[2,6,1,5,3,4,7]=>[[1,2,6,7],[3,4],[5]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,1,2,7]=>[2,6,1,5,4,3,7]=>[[1,2,7],[3,4],[5],[6]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,1,2,7]=>[2,6,1,4,5,3,7]=>[[1,2,5,7],[3,4],[6]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,1,2,5]=>[2,5,4,1,7,3,6]=>[[1,2,5],[3,6,7],[4]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,1,2,5]=>[2,5,4,1,7,6,3]=>[[1,2,5],[3,6],[4,7]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,1,2,6]=>[2,6,4,1,3,7,5]=>[[1,2,6],[3,5,7],[4]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,1,2,7]=>[2,6,4,1,3,5,7]=>[[1,2,6,7],[3,5],[4]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,1,2,7]=>[2,6,4,1,5,3,7]=>[[1,2,5,7],[3,6],[4]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,1,2,6]=>[2,6,5,3,1,7,4]=>[[1,2,6],[3,7],[4],[5]] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,1,2,7]=>[2,6,5,3,1,4,7]=>[[1,2,6,7],[3],[4],[5]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,1,2,7]=>[2,6,5,3,4,1,7]=>[[1,2,5,7],[3],[4],[6]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,1,2,7]=>[2,6,5,4,3,1,7]=>[[1,2,7],[3],[4],[5],[6]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>[2,6,4,5,1,7,3]=>[[1,2,4,6],[3,7],[5]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,1,2,7]=>[2,6,4,5,1,3,7]=>[[1,2,4,7],[3,6],[5]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,1,2,7]=>[2,6,4,5,3,1,7]=>[[1,2,4,7],[3],[5],[6]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,1,2,7]=>[2,6,4,3,5,1,7]=>[[1,2,5,7],[3],[4],[6]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,1,2,7]=>[2,6,3,4,5,1,7]=>[[1,2,4,5,7],[3],[6]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,1,3,4]=>[3,1,4,7,2,5,6]=>[[1,3,4,7],[2,5,6]] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,1,3,4]=>[3,1,4,7,2,6,5]=>[[1,3,4],[2,5,6],[7]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,1,3,4]=>[3,1,4,7,6,2,5]=>[[1,3,4],[2,5,7],[6]] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,1,3,4]=>[3,1,4,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,1,3,4]=>[3,1,4,7,5,6,2]=>[[1,3,4,6],[2,5],[7]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,1,3,5]=>[3,1,5,2,7,4,6]=>[[1,3,5,7],[2,4,6]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,1,3,5]=>[3,1,5,2,7,6,4]=>[[1,3,5],[2,4,6],[7]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,1,3,6]=>[3,1,6,2,4,7,5]=>[[1,3,5,6],[2,4,7]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,1,3,7]=>[3,1,6,2,4,5,7]=>[[1,3,5,6,7],[2,4]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,1,3,7]=>[3,1,6,2,5,4,7]=>[[1,3,5,7],[2,4],[6]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,1,3,6]=>[3,1,6,5,2,7,4]=>[[1,3,6],[2,4,7],[5]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,1,3,7]=>[3,1,6,5,2,4,7]=>[[1,3,6,7],[2,4],[5]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,1,3,7]=>[3,1,6,5,4,2,7]=>[[1,3,7],[2,4],[5],[6]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,1,3,7]=>[3,1,6,4,5,2,7]=>[[1,3,5,7],[2,4],[6]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,1,4,5]=>[4,1,2,5,7,3,6]=>[[1,3,4,5],[2,6,7]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,1,4,5]=>[4,1,2,5,7,6,3]=>[[1,3,4,5],[2,6],[7]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,1,4,6]=>[4,1,2,6,3,7,5]=>[[1,3,4,6],[2,5,7]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,1,4,7]=>[4,1,2,6,3,5,7]=>[[1,3,4,6,7],[2,5]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,1,4,7]=>[4,1,2,6,5,3,7]=>[[1,3,4,7],[2,5],[6]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,1,5,6]=>[5,1,2,3,6,7,4]=>[[1,3,4,5,6],[2,7]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,1,5,7]=>[5,1,2,3,6,4,7]=>[[1,3,4,5,7],[2,6]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,1,6,7]=>[5,1,2,3,4,6,7]=>[[1,3,4,5,6,7],[2]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,1,6,7]=>[5,1,2,4,3,6,7]=>[[1,3,4,6,7],[2],[5]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,1,5,6]=>[5,1,4,2,6,7,3]=>[[1,3,5,6],[2,7],[4]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,1,5,7]=>[5,1,4,2,6,3,7]=>[[1,3,5,7],[2,6],[4]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,1,6,7]=>[5,1,4,2,3,6,7]=>[[1,3,5,6,7],[2],[4]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,1,6,7]=>[5,1,4,3,2,6,7]=>[[1,3,6,7],[2],[4],[5]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,1,6,7]=>[5,1,3,4,2,6,7]=>[[1,3,4,6,7],[2],[5]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,1,4,5]=>[4,3,1,5,7,2,6]=>[[1,4,5],[2,6,7],[3]] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,1,4,5]=>[4,3,1,5,7,6,2]=>[[1,4,5],[2,6],[3,7]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,1,4,6]=>[4,3,1,6,2,7,5]=>[[1,4,6],[2,5,7],[3]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,1,4,7]=>[4,3,1,6,2,5,7]=>[[1,4,6,7],[2,5],[3]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,1,4,7]=>[4,3,1,6,5,2,7]=>[[1,4,7],[2,5],[3,6]] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,1,5,6]=>[5,3,1,2,6,7,4]=>[[1,4,5,6],[2,7],[3]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,1,5,7]=>[5,3,1,2,6,4,7]=>[[1,4,5,7],[2,6],[3]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,1,6,7]=>[5,3,1,2,4,6,7]=>[[1,4,5,6,7],[2],[3]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,1,6,7]=>[5,3,1,4,2,6,7]=>[[1,4,6,7],[2,5],[3]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,1,5,6]=>[5,4,2,1,6,7,3]=>[[1,5,6],[2,7],[3],[4]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,1,5,7]=>[5,4,2,1,6,3,7]=>[[1,5,7],[2,6],[3],[4]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,1,6,7]=>[5,4,2,1,3,6,7]=>[[1,5,6,7],[2],[3],[4]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,1,6,7]=>[5,4,2,3,1,6,7]=>[[1,4,6,7],[2],[3],[5]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,1,5,6]=>[5,3,4,1,6,7,2]=>[[1,3,5,6],[2,7],[4]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,1,5,7]=>[5,3,4,1,6,2,7]=>[[1,3,5,7],[2,6],[4]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,1,6,7]=>[5,3,4,1,2,6,7]=>[[1,3,6,7],[2,5],[4]] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,1,6,7]=>[5,3,4,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,1,2,3,4]=>[2,3,4,7,1,5,6]=>[[1,2,3,4,7],[5,6]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[6,7,5,1,2,3,4]=>[2,3,4,7,1,6,5]=>[[1,2,3,4],[5,6],[7]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[7,5,6,1,2,3,4]=>[2,3,4,7,6,1,5]=>[[1,2,3,4],[5,7],[6]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[6,5,7,1,2,3,4]=>[2,3,4,7,6,5,1]=>[[1,2,3,4],[5],[6],[7]] [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]=>[[1,2,3,4,6],[5],[7]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[7,6,4,1,2,3,5]=>[2,3,5,1,7,4,6]=>[[1,2,3,5],[4,6,7]] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[6,7,4,1,2,3,5]=>[2,3,5,1,7,6,4]=>[[1,2,3,5],[4,6],[7]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[7,5,4,1,2,3,6]=>[2,3,6,1,4,7,5]=>[[1,2,3,6],[4,5,7]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,1,2,3,7]=>[2,3,6,1,4,5,7]=>[[1,2,3,6,7],[4,5]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[5,6,4,1,2,3,7]=>[2,3,6,1,5,4,7]=>[[1,2,3,7],[4,5],[6]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[7,4,5,1,2,3,6]=>[2,3,6,5,1,7,4]=>[[1,2,3,6],[4,7],[5]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[6,4,5,1,2,3,7]=>[2,3,6,5,1,4,7]=>[[1,2,3,7],[4,6],[5]] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[5,4,6,1,2,3,7]=>[2,3,6,5,4,1,7]=>[[1,2,3,7],[4],[5],[6]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[2,3,6,4,5,1,7]=>[[1,2,3,5,7],[4],[6]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[7,6,3,1,2,4,5]=>[2,4,1,5,7,3,6]=>[[1,2,4,5],[3,6,7]] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,7,3,1,2,4,5]=>[2,4,1,5,7,6,3]=>[[1,2,4,5],[3,6],[7]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[7,5,3,1,2,4,6]=>[2,4,1,6,3,7,5]=>[[1,2,4,6],[3,5,7]] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[6,5,3,1,2,4,7]=>[2,4,1,6,3,5,7]=>[[1,2,4,7],[3,5,6]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,6,3,1,2,4,7]=>[2,4,1,6,5,3,7]=>[[1,2,4,7],[3,5],[6]] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,4,3,1,2,5,6]=>[2,5,1,3,6,7,4]=>[[1,2,5,6],[3,4,7]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,4,3,1,2,5,7]=>[2,5,1,3,6,4,7]=>[[1,2,5,7],[3,4,6]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,1,2,6,7]=>[2,5,1,3,4,6,7]=>[[1,2,5,6,7],[3,4]] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,1,2,6,7]=>[2,5,1,4,3,6,7]=>[[1,2,6,7],[3,4],[5]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,1,2,5,6]=>[2,5,4,1,6,7,3]=>[[1,2,5,6],[3,7],[4]] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,4,1,2,5,7]=>[2,5,4,1,6,3,7]=>[[1,2,5,7],[3,6],[4]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,4,1,2,6,7]=>[2,5,4,1,3,6,7]=>[[1,2,6,7],[3,5],[4]] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,5,1,2,6,7]=>[2,5,4,3,1,6,7]=>[[1,2,6,7],[3],[4],[5]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,4,5,1,2,6,7]=>[2,5,3,4,1,6,7]=>[[1,2,4,6,7],[3],[5]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[7,6,2,1,3,4,5]=>[3,1,4,5,7,2,6]=>[[1,3,4,5],[2,6,7]] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,7,2,1,3,4,5]=>[3,1,4,5,7,6,2]=>[[1,3,4,5],[2,6],[7]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[7,5,2,1,3,4,6]=>[3,1,4,6,2,7,5]=>[[1,3,4,6],[2,5,7]] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,5,2,1,3,4,7]=>[3,1,4,6,2,5,7]=>[[1,3,4,7],[2,5,6]] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,6,2,1,3,4,7]=>[3,1,4,6,5,2,7]=>[[1,3,4,7],[2,5],[6]] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,4,2,1,3,5,6]=>[3,1,5,2,6,7,4]=>[[1,3,5,6],[2,4,7]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,4,2,1,3,5,7]=>[3,1,5,2,6,4,7]=>[[1,3,5,7],[2,4,6]] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,4,2,1,3,6,7]=>[3,1,5,2,4,6,7]=>[[1,3,5,6,7],[2,4]] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,2,1,3,6,7]=>[3,1,5,4,2,6,7]=>[[1,3,6,7],[2,4],[5]] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,2,1,4,5,6]=>[4,1,2,5,6,7,3]=>[[1,3,4,5,6],[2,7]] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,2,1,4,5,7]=>[4,1,2,5,6,3,7]=>[[1,3,4,5,7],[2,6]] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,3,2,1,4,6,7]=>[4,1,2,5,3,6,7]=>[[1,3,4,6,7],[2,5]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,3,2,1,5,6,7]=>[4,1,2,3,5,6,7]=>[[1,3,4,5,6,7],[2]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,4,2,1,5,6,7]=>[4,1,3,2,5,6,7]=>[[1,3,5,6,7],[2],[4]] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,3,1,4,5,6]=>[4,3,1,5,6,7,2]=>[[1,4,5,6],[2,7],[3]] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,2,3,1,4,5,7]=>[4,3,1,5,6,2,7]=>[[1,4,5,7],[2,6],[3]] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,3,1,4,6,7]=>[4,3,1,5,2,6,7]=>[[1,4,6,7],[2,5],[3]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,3,1,5,6,7]=>[4,3,1,2,5,6,7]=>[[1,4,5,6,7],[2],[3]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,2,3,4,5]=>[2,3,4,5,7,1,6]=>[[1,2,3,4,5],[6,7]] [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],[6],[7]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,5,1,2,3,4,6]=>[2,3,4,6,1,7,5]=>[[1,2,3,4,6],[5,7]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,5,1,2,3,4,7]=>[2,3,4,6,1,5,7]=>[[1,2,3,4,7],[5,6]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,4,7]=>[2,3,4,6,5,1,7]=>[[1,2,3,4,7],[5],[6]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,2,3,5,6]=>[2,3,5,1,6,7,4]=>[[1,2,3,5,6],[4,7]] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,1,2,3,5,7]=>[2,3,5,1,6,4,7]=>[[1,2,3,5,7],[4,6]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,1,2,3,6,7]=>[2,3,5,1,4,6,7]=>[[1,2,3,6,7],[4,5]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,5,1,2,3,6,7]=>[2,3,5,4,1,6,7]=>[[1,2,3,6,7],[4],[5]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,2,4,5,6]=>[2,4,1,5,6,7,3]=>[[1,2,4,5,6],[3,7]] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,3,1,2,4,5,7]=>[2,4,1,5,6,3,7]=>[[1,2,4,5,7],[3,6]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,3,1,2,4,6,7]=>[2,4,1,5,3,6,7]=>[[1,2,4,6,7],[3,5]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,2,5,6,7]=>[2,4,1,3,5,6,7]=>[[1,2,5,6,7],[3,4]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[2,4,3,1,5,6,7]=>[[1,2,5,6,7],[3],[4]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,3,4,5,6]=>[3,1,4,5,6,7,2]=>[[1,3,4,5,6],[2,7]] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,2,1,3,4,5,7]=>[3,1,4,5,6,2,7]=>[[1,3,4,5,7],[2,6]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,2,1,3,4,6,7]=>[3,1,4,5,2,6,7]=>[[1,3,4,6,7],[2,5]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,3,5,6,7]=>[3,1,4,2,5,6,7]=>[[1,3,5,6,7],[2,4]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[1,3,4,5,6,7],[2]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]] [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]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[[1,2,3,4,5,7],[6]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[[1,2,3,4,6,7],[5]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[[1,2,3,5,6,7],[4]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[1,2,4,5,6,7],[3]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]] [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]=>[8,7,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7]=>[[1,3,4,5,6,7,8],[2]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,2,1]=>[8,1,2,3,4,7,6,5]=>[[1,3,4,5,6],[2],[7],[8]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,2,1]=>[8,1,2,3,4,6,7,5]=>[[1,3,4,5,6,7],[2],[8]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,2,1]=>[8,1,2,3,7,5,4,6]=>[[1,3,4,5,8],[2],[6],[7]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,2,1]=>[8,1,2,3,7,5,6,4]=>[[1,3,4,5,7],[2],[6],[8]] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,2,1]=>[8,1,2,3,7,6,5,4]=>[[1,3,4,5],[2],[6],[7],[8]] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,2,1]=>[8,1,2,3,6,7,5,4]=>[[1,3,4,5,6],[2],[7],[8]] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,2,1]=>[8,1,2,3,6,5,7,4]=>[[1,3,4,5,7],[2],[6],[8]] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[8,1,2,3,5,6,7,4]=>[[1,3,4,5,6,7],[2],[8]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,2,1]=>[8,1,2,5,3,4,6,7]=>[[1,3,4,6,7,8],[2],[5]] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,3,2,1]=>[8,1,2,5,3,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,3,2,1]=>[8,1,2,5,3,6,7,4]=>[[1,3,4,6,7],[2,8],[5]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,2,1]=>[8,1,2,7,4,5,6,3]=>[[1,3,4,6,7],[2],[5],[8]] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,3,2,1]=>[8,1,2,7,4,6,5,3]=>[[1,3,4,6],[2],[5],[7],[8]] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,3,2,1]=>[8,1,2,7,6,4,5,3]=>[[1,3,4,7],[2],[5],[6],[8]] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,2,1]=>[8,1,2,7,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7],[8]] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,2,1]=>[8,1,2,5,6,3,7,4]=>[[1,3,4,5,7],[2,8],[6]] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,3,2,1]=>[8,1,2,6,4,5,7,3]=>[[1,3,4,6,7],[2],[5],[8]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,3,2,1]=>[8,1,2,5,6,7,3,4]=>[[1,3,4,5,6],[2,8],[7]] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,2,1]=>[8,1,2,5,6,7,4,3]=>[[1,3,4,5,6],[2],[7],[8]] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[8,1,2,4,5,6,7,3]=>[[1,3,4,5,6,7],[2],[8]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,2,1]=>[8,1,4,2,3,5,6,7]=>[[1,3,5,6,7,8],[2],[4]] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,2,1]=>[8,1,4,2,3,5,7,6]=>[[1,3,5,6,7],[2,8],[4]] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,2,1]=>[8,1,4,2,3,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,2,1]=>[8,1,4,2,3,6,7,5]=>[[1,3,5,6,7],[2,8],[4]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,2,1]=>[8,1,4,2,6,3,5,7]=>[[1,3,5,7,8],[2,6],[4]] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,2,1]=>[8,1,4,2,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,4,2,1]=>[8,1,4,2,7,5,3,6]=>[[1,3,5,8],[2,6],[4],[7]] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,2,1]=>[8,1,4,2,7,5,6,3]=>[[1,3,5,7],[2,6],[4],[8]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,4,2,1]=>[8,1,4,2,6,7,3,5]=>[[1,3,5,6],[2,7,8],[4]] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,2,1]=>[8,1,4,2,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,2,1]=>[8,1,4,2,6,5,7,3]=>[[1,3,5,7],[2,6],[4],[8]] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,2,1]=>[8,1,4,2,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,2,1]=>[8,1,5,3,2,4,7,6]=>[[1,3,6,7],[2,8],[4],[5]] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,5,2,1]=>[8,1,5,3,2,6,7,4]=>[[1,3,6,7],[2,8],[4],[5]] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,2,1]=>[8,1,6,3,4,2,7,5]=>[[1,3,5,7],[2,8],[4],[6]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,7,2,1]=>[8,1,7,3,4,5,2,6]=>[[1,3,5,6,8],[2],[4],[7]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,2,1]=>[8,1,7,3,4,5,6,2]=>[[1,3,5,6,7],[2],[4],[8]] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,8,2,1]=>[8,1,7,3,6,4,5,2]=>[[1,3,5,7],[2],[4],[6],[8]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,7,2,1]=>[8,1,7,6,4,3,2,5]=>[[1,3,8],[2],[4],[5],[6],[7]] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,8,2,1]=>[8,1,7,6,4,3,5,2]=>[[1,3,7],[2],[4],[5],[6],[8]] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,2,1]=>[8,1,7,6,4,5,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,2,1]=>[8,1,7,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7],[8]] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,8,2,1]=>[8,1,7,5,6,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,2,1]=>[8,1,4,5,2,3,6,7]=>[[1,3,4,7,8],[2,6],[5]] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,2,1]=>[8,1,4,5,2,6,7,3]=>[[1,3,4,6,7],[2,8],[5]] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,8,2,1]=>[8,1,4,7,3,6,5,2]=>[[1,3,4],[2,6],[5],[7],[8]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,6,2,1]=>[8,1,5,3,6,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,6,2,1]=>[8,1,5,3,6,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,2,1]=>[8,1,6,3,4,7,2,5]=>[[1,3,5,6],[2,8],[4],[7]] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,2,1]=>[8,1,5,4,3,6,7,2]=>[[1,3,6,7],[2],[4],[5],[8]] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,2,1]=>[8,1,4,5,6,3,7,2]=>[[1,3,4,5,7],[2],[6],[8]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,3,1]=>[8,3,1,2,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,3,1]=>[8,3,1,2,6,4,7,5]=>[[1,4,5,7],[2,6,8],[3]] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,3,1]=>[8,3,1,2,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,3,1]=>[8,3,1,2,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,3,1]=>[8,3,1,5,2,4,6,7]=>[[1,4,6,7,8],[2,5],[3]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,3,1]=>[8,3,1,5,2,7,4,6]=>[[1,4,6,8],[2,5,7],[3]] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,3,1]=>[8,3,1,5,2,7,6,4]=>[[1,4,6],[2,5,7],[3],[8]] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,2,3,1]=>[8,3,1,5,2,6,7,4]=>[[1,4,6,7],[2,5,8],[3]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,2,3,1]=>[8,3,1,6,4,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,3,1]=>[8,3,1,7,4,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,2,3,1]=>[8,3,1,7,6,4,2,5]=>[[1,4,8],[2,5],[3],[6],[7]] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,3,1]=>[8,3,1,7,6,4,5,2]=>[[1,4,7],[2,5],[3],[6],[8]] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,2,3,1]=>[8,3,1,7,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7],[8]] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,2,3,1]=>[8,3,1,7,5,6,4,2]=>[[1,4,6],[2,5],[3],[7],[8]] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,2,3,1]=>[8,3,1,5,6,2,7,4]=>[[1,4,5,7],[2,6,8],[3]] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,2,3,1]=>[8,3,1,5,4,6,7,2]=>[[1,4,6,7],[2,5],[3],[8]] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,3,1]=>[8,3,1,4,5,6,7,2]=>[[1,4,5,6,7],[2,8],[3]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,4,1]=>[8,4,2,1,3,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,4,1]=>[8,4,2,1,3,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,4,1]=>[8,4,2,1,3,6,7,5]=>[[1,5,6,7],[2,8],[3],[4]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,4,1]=>[8,4,2,1,6,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,4,1]=>[8,4,2,1,7,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,4,1]=>[8,4,2,1,7,5,6,3]=>[[1,5,7],[2,6],[3,8],[4]] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,4,1]=>[8,4,2,1,7,6,5,3]=>[[1,5],[2,6],[3,7],[4],[8]] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,2,4,1]=>[8,4,2,1,6,7,5,3]=>[[1,5,6],[2,7],[3,8],[4]] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,4,1]=>[8,4,2,1,5,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,5,1]=>[8,5,2,3,1,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,6,1]=>[8,6,2,3,4,1,7,5]=>[[1,4,5,7],[2,8],[3],[6]] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,8,1]=>[8,7,2,4,5,6,3,1]=>[[1,4,5,6],[2],[3],[7],[8]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,5,1]=>[8,5,4,2,1,3,6,7]=>[[1,6,7,8],[2],[3],[4],[5]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,2,5,1]=>[8,5,4,2,1,7,3,6]=>[[1,6,8],[2,7],[3],[4],[5]] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,2,5,1]=>[8,5,4,2,1,7,6,3]=>[[1,6],[2,7],[3,8],[4],[5]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,6,1]=>[8,6,4,2,3,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,2,6,1]=>[8,6,4,2,3,1,7,5]=>[[1,5,7],[2,8],[3],[4],[6]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,2,7,1]=>[8,7,4,2,6,3,1,5]=>[[1,5,8],[2,6],[3],[4],[7]] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,8,1]=>[8,7,4,2,6,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,2,8,1]=>[8,7,4,2,6,5,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,2,6,1]=>[8,6,5,3,2,1,7,4]=>[[1,7],[2,8],[3],[4],[5],[6]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,7,1]=>[8,7,5,3,2,4,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,8,1]=>[8,7,5,3,2,4,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,7,1]=>[8,7,6,3,4,2,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,8,1]=>[8,7,6,3,4,2,5,1]=>[[1,5,7],[2],[3],[4],[6],[8]] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,8,1]=>[8,7,6,3,4,5,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,2,8,1]=>[8,7,6,3,5,4,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,2,7,1]=>[8,7,6,5,3,2,1,4]=>[[1,8],[2],[3],[4],[5],[6],[7]] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,8,1]=>[8,7,6,5,3,2,4,1]=>[[1,7],[2],[3],[4],[5],[6],[8]] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,2,8,1]=>[8,7,6,5,3,4,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,2,7,1]=>[8,7,4,5,2,3,1,6]=>[[1,4,8],[2,6],[3],[5],[7]] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,2,8,1]=>[8,7,4,6,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,2,8,1]=>[8,7,5,3,6,4,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,4,1]=>[8,3,4,1,2,5,6,7]=>[[1,3,6,7,8],[2,5],[4]] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,4,1]=>[8,3,4,1,2,6,7,5]=>[[1,3,6,7],[2,5,8],[4]] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,4,1]=>[8,3,4,1,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,4,1]=>[8,3,4,1,5,6,7,2]=>[[1,3,5,6,7],[2,8],[4]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,5,1]=>[8,3,5,2,1,4,6,7]=>[[1,3,7,8],[2,6],[4],[5]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,3,5,1]=>[8,3,5,2,1,7,4,6]=>[[1,3,6],[2,7,8],[4],[5]] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,5,1]=>[8,3,5,2,1,6,7,4]=>[[1,3,6,7],[2,8],[4],[5]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,3,6,1]=>[8,3,6,2,4,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,3,7,1]=>[8,3,7,2,6,4,1,5]=>[[1,3,8],[2,5],[4],[6],[7]] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,3,8,1]=>[8,3,7,2,6,4,5,1]=>[[1,3,7],[2,5],[4],[6],[8]] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,2,3,8,1]=>[8,3,7,2,6,5,4,1]=>[[1,3],[2,5],[4],[6],[7],[8]] [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,3,6,1]=>[8,3,6,5,2,1,7,4]=>[[1,3,7],[2,8],[4],[5],[6]] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,8,1]=>[8,3,7,5,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,8,1]=>[8,3,7,5,6,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,8,1]=>[8,3,7,4,5,6,2,1]=>[[1,3,5,6],[2],[4],[7],[8]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,5,1]=>[8,4,2,5,1,3,6,7]=>[[1,4,7,8],[2,6],[3],[5]] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,4,5,1]=>[8,4,2,5,1,6,7,3]=>[[1,4,6,7],[2,8],[3],[5]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,5,6,1]=>[8,5,2,3,6,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,5,8,1]=>[8,5,2,3,7,4,6,1]=>[[1,4,5,7],[2,6],[3],[8]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,7,1]=>[8,6,2,3,4,7,1,5]=>[[1,4,5,6],[2,8],[3],[7]] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,5,6,1]=>[8,5,4,2,6,1,7,3]=>[[1,5,7],[2,8],[3],[4],[6]] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,7,8,1]=>[8,6,4,2,5,3,7,1]=>[[1,5,7],[2,6],[3],[4],[8]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,6,7,1]=>[8,6,4,5,2,7,1,3]=>[[1,4,6],[2,8],[3],[5],[7]] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,5,1]=>[8,3,4,5,1,6,7,2]=>[[1,3,4,6,7],[2,8],[5]] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,8,1]=>[8,3,4,7,2,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,5,8,1]=>[8,3,5,2,7,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,7,8,1]=>[8,3,6,2,4,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,2,3,7,8,1]=>[8,3,6,4,5,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,5,6,1]=>[8,4,2,5,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,8,1]=>[8,4,2,5,7,6,3,1]=>[[1,4,5],[2,6],[3],[7],[8]] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,6,8,1]=>[8,4,2,6,3,7,5,1]=>[[1,4,6],[2,5,7],[3],[8]] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,6,7,8,1]=>[8,5,4,2,3,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,6,7,8,1]=>[8,3,5,4,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,1,2]=>[2,8,1,3,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,1,2]=>[2,8,1,3,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,3,1,2]=>[2,8,1,3,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,1,2]=>[2,8,1,3,6,5,7,4]=>[[1,2,5,7],[3,4],[6],[8]] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,1,2]=>[2,8,1,3,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,1,2]=>[2,8,1,5,3,4,7,6]=>[[1,2,6,7],[3,4,8],[5]] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,1,2]=>[2,8,1,7,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7],[8]] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,1,2]=>[2,8,1,5,6,3,7,4]=>[[1,2,5,7],[3,4,8],[6]] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,3,1,2]=>[2,8,1,5,6,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,1,2]=>[2,8,1,5,4,6,7,3]=>[[1,2,6,7],[3,4],[5],[8]] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,1,2]=>[2,8,1,4,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,1,2]=>[2,8,4,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,1,2]=>[2,8,4,1,3,5,7,6]=>[[1,2,6,7],[3,5,8],[4]] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,1,2]=>[2,8,4,1,3,6,7,5]=>[[1,2,6,7],[3,5,8],[4]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,1,2]=>[2,8,4,1,6,3,7,5]=>[[1,2,5,7],[3,6,8],[4]] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,4,1,2]=>[2,8,4,1,7,5,3,6]=>[[1,2,5,8],[3,6],[4],[7]] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,1,2]=>[2,8,4,1,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,1,2]=>[2,8,4,1,6,5,7,3]=>[[1,2,5,7],[3,6],[4],[8]] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,1,2]=>[2,8,4,1,5,6,7,3]=>[[1,2,5,6,7],[3,8],[4]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,5,1,2]=>[2,8,5,3,1,4,6,7]=>[[1,2,6,7,8],[3],[4],[5]] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,1,2]=>[2,8,5,3,1,4,7,6]=>[[1,2,6,7],[3,8],[4],[5]] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,1,2]=>[2,8,7,3,4,5,6,1]=>[[1,2,5,6,7],[3],[4],[8]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,7,1,2]=>[2,8,7,6,4,3,1,5]=>[[1,2,8],[3],[4],[5],[6],[7]] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,1,2]=>[2,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8]] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,8,1,2]=>[2,8,7,5,6,4,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,8,1,2]=>[2,8,7,5,4,6,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,5,1,2]=>[2,8,4,5,1,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,6,1,2]=>[2,8,4,6,3,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,8,1,2]=>[2,8,4,7,3,6,5,1]=>[[1,2,4],[3,6],[5],[7],[8]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,7,1,2]=>[2,8,4,7,6,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,6,1,2]=>[2,8,5,3,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,1,2]=>[2,8,6,3,4,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,8,1,2]=>[2,8,5,3,6,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,8,1,2]=>[2,8,5,3,4,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,1,2]=>[2,8,5,4,3,6,7,1]=>[[1,2,6,7],[3],[4],[5],[8]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,1,2]=>[2,8,4,5,6,7,1,3]=>[[1,2,4,5,6],[3,8],[7]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,1,3]=>[3,1,8,2,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,1,3]=>[3,1,8,2,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,2,1,3]=>[3,1,8,2,7,5,4,6]=>[[1,3,5,8],[2,4],[6],[7]] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,1,3]=>[3,1,8,2,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,1,3]=>[3,1,8,2,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,2,1,3]=>[3,1,8,2,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,2,1,3]=>[3,1,8,2,6,5,7,4]=>[[1,3,5,7],[2,4],[6],[8]] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,1,3]=>[3,1,8,2,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,1,3]=>[3,1,8,5,2,7,4,6]=>[[1,3,6,8],[2,4,7],[5]] [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,1,3]=>[3,1,8,5,2,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]] [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,2,1,3]=>[3,1,8,6,4,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,1,3]=>[3,1,8,7,6,4,5,2]=>[[1,3,7],[2,4],[5],[6],[8]] [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,2,1,3]=>[3,1,8,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7],[8]] [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,2,1,3]=>[3,1,8,7,5,6,4,2]=>[[1,3,6],[2,4],[5],[7],[8]] [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,2,1,3]=>[3,1,8,5,6,2,7,4]=>[[1,3,5,7],[2,4,8],[6]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,1,3]=>[3,1,8,5,7,4,2,6]=>[[1,3,5],[2,4,8],[6],[7]] [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,2,1,3]=>[3,1,8,5,7,4,6,2]=>[[1,3,5],[2,4,7],[6],[8]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,2,1,3]=>[3,1,8,6,4,7,2,5]=>[[1,3,6],[2,4,8],[5],[7]] [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,2,1,3]=>[3,1,8,6,4,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,2,1,3]=>[3,1,8,5,4,6,7,2]=>[[1,3,6,7],[2,4],[5],[8]] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,1,3]=>[3,1,8,4,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,1,4]=>[4,1,2,8,3,5,6,7]=>[[1,3,4,6,7,8],[2,5]] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,1,4]=>[4,1,2,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,1,4]=>[4,1,2,8,7,5,3,6]=>[[1,3,4,8],[2,5],[6],[7]] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,1,4]=>[4,1,2,8,7,5,6,3]=>[[1,3,4,7],[2,5],[6],[8]] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,1,4]=>[4,1,2,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,1,4]=>[4,1,2,8,5,6,7,3]=>[[1,3,4,6,7],[2,5],[8]] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,1,5]=>[5,1,2,3,8,4,7,6]=>[[1,3,4,5,7],[2,6],[8]] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,1,5]=>[5,1,2,3,8,7,6,4]=>[[1,3,4,5],[2,6],[7],[8]] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,1,5]=>[5,1,2,3,8,6,7,4]=>[[1,3,4,5,7],[2,6],[8]] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,8,7,5]=>[[1,3,4,5,6],[2,7],[8]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,1,8]=>[7,1,2,3,4,5,6,8]=>[[1,3,4,5,6,7,8],[2]] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,1,8]=>[7,1,2,3,6,5,4,8]=>[[1,3,4,5,8],[2],[6],[7]] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,1,8]=>[7,1,2,3,5,6,4,8]=>[[1,3,4,5,6,8],[2],[7]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,2,1,6]=>[6,1,2,5,3,8,4,7]=>[[1,3,4,6,8],[2,7],[5]] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,1,8]=>[7,1,2,6,4,5,3,8]=>[[1,3,4,6,8],[2],[5],[7]] [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,2,1,8]=>[7,1,2,6,5,4,3,8]=>[[1,3,4,8],[2],[5],[6],[7]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,3,2,1,7]=>[7,1,2,5,6,3,8,4]=>[[1,3,4,5,7],[2,8],[6]] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1,8]=>[7,1,2,5,4,6,3,8]=>[[1,3,4,6,8],[2],[5],[7]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,1,5]=>[5,1,4,2,8,3,6,7]=>[[1,3,5,7,8],[2,6],[4]] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,2,1,5]=>[5,1,4,2,8,3,7,6]=>[[1,3,5,7],[2,6],[4,8]] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,1,5]=>[5,1,4,2,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,1,6]=>[6,1,4,2,3,8,5,7]=>[[1,3,5,6,8],[2,7],[4]] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,2,1,7]=>[7,1,4,2,3,5,8,6]=>[[1,3,5,6,7],[2,8],[4]] [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,2,1,7]=>[7,1,4,2,6,3,8,5]=>[[1,3,5,7],[2,6,8],[4]] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,1,8]=>[7,1,4,2,6,3,5,8]=>[[1,3,5,7,8],[2,6],[4]] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,2,1,8]=>[7,1,4,2,6,5,3,8]=>[[1,3,5,8],[2,6],[4],[7]] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,2,1,8]=>[7,1,4,2,5,6,3,8]=>[[1,3,5,6,8],[2,7],[4]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,1,6]=>[6,1,5,3,2,8,4,7]=>[[1,3,6,8],[2,7],[4],[5]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,1,7]=>[7,1,6,3,4,2,8,5]=>[[1,3,5,7],[2,8],[4],[6]] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,1,8]=>[7,1,6,5,3,2,4,8]=>[[1,3,7,8],[2],[4],[5],[6]] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,2,1,6]=>[6,1,4,5,2,8,7,3]=>[[1,3,4,6],[2,7],[5,8]] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,2,1,8]=>[7,1,4,5,2,3,6,8]=>[[1,3,4,7,8],[2,6],[5]] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,1,8]=>[7,1,4,6,5,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,1,4]=>[4,3,1,8,2,5,6,7]=>[[1,4,6,7,8],[2,5],[3]] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,1,4]=>[4,3,1,8,2,6,7,5]=>[[1,4,6,7],[2,5],[3,8]] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,3,1,4]=>[4,3,1,8,6,2,7,5]=>[[1,4,7],[2,5,8],[3,6]] [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,2,3,1,4]=>[4,3,1,8,7,5,2,6]=>[[1,4,8],[2,5],[3,6],[7]] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,3,1,4]=>[4,3,1,8,7,6,5,2]=>[[1,4],[2,5],[3,6],[7],[8]] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,3,1,4]=>[4,3,1,8,6,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,3,1,4]=>[4,3,1,8,6,5,7,2]=>[[1,4,7],[2,5],[3,6],[8]] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,1,4]=>[4,3,1,8,5,6,7,2]=>[[1,4,6,7],[2,5],[3,8]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,1,5]=>[5,3,1,2,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]] [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,3,1,5]=>[5,3,1,2,8,4,7,6]=>[[1,4,5,7],[2,6],[3,8]] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,3,1,5]=>[5,3,1,2,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,1,5]=>[5,3,1,2,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]] [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,3,1,6]=>[6,3,1,2,4,8,5,7]=>[[1,4,5,6,8],[2,7],[3]] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,3,1,7]=>[7,3,1,2,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,1,8]=>[7,3,1,2,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,1,8]=>[7,3,1,2,4,6,5,8]=>[[1,4,5,6,8],[2,7],[3]] [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,3,1,7]=>[7,3,1,2,6,4,8,5]=>[[1,4,5,7],[2,6,8],[3]] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,3,1,8]=>[7,3,1,2,6,4,5,8]=>[[1,4,5,7,8],[2,6],[3]] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,3,1,8]=>[7,3,1,2,5,6,4,8]=>[[1,4,5,6,8],[2,7],[3]] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,1,8]=>[7,3,1,5,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,1,8]=>[7,3,1,5,2,6,4,8]=>[[1,4,6,8],[2,5,7],[3]] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,1,8]=>[7,3,1,6,5,4,2,8]=>[[1,4,8],[2,5],[3],[6],[7]] [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,2,3,1,7]=>[7,3,1,5,6,2,8,4]=>[[1,4,5,7],[2,6,8],[3]] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,3,1,8]=>[7,3,1,5,6,2,4,8]=>[[1,4,5,8],[2,6,7],[3]] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,4,1,5]=>[5,4,2,1,8,7,6,3]=>[[1,5],[2,6],[3,7],[4,8]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,4,1,6]=>[6,4,2,1,3,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,2,4,1,6]=>[6,4,2,1,3,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,4,1,8]=>[7,4,2,1,5,6,3,8]=>[[1,5,6,8],[2,7],[3],[4]] [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,1,6]=>[6,5,2,3,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,1,7]=>[7,6,2,3,4,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,1,8]=>[7,6,2,3,4,1,5,8]=>[[1,4,5,7,8],[2],[3],[6]] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,1,8]=>[7,6,2,3,4,5,1,8]=>[[1,4,5,6,8],[2],[3],[7]] [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,2,6,1,7]=>[7,6,2,5,3,1,8,4]=>[[1,4,7],[2,8],[3],[5],[6]] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,2,6,1,8]=>[7,6,2,5,3,1,4,8]=>[[1,4,7,8],[2],[3],[5],[6]] [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,7,1,8]=>[7,6,2,5,4,3,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,1,8]=>[7,6,4,2,3,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,7,1,8]=>[7,6,4,2,5,3,1,8]=>[[1,5,8],[2,6],[3],[4],[7]] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,7,1,8]=>[7,6,5,3,4,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,7,1,8]=>[7,6,4,5,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,3,4,1,6]=>[6,3,4,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,1,8]=>[7,3,4,1,2,5,6,8]=>[[1,3,6,7,8],[2,5],[4]] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,3,4,1,8]=>[7,3,4,1,2,6,5,8]=>[[1,3,6,8],[2,5,7],[4]] [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,4,1,7]=>[7,3,4,1,6,2,8,5]=>[[1,3,5,7],[2,6,8],[4]] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,4,1,8]=>[7,3,4,1,6,2,5,8]=>[[1,3,5,8],[2,6,7],[4]] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,4,1,8]=>[7,3,4,1,6,5,2,8]=>[[1,3,5,8],[2,6],[4],[7]] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,1,8]=>[7,3,4,1,5,6,2,8]=>[[1,3,5,6,8],[2,7],[4]] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,5,1,8]=>[7,3,5,2,1,4,6,8]=>[[1,3,7,8],[2,6],[4],[5]] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,1,8]=>[7,3,6,5,2,1,4,8]=>[[1,3,8],[2,7],[4],[5],[6]] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,2,3,7,1,8]=>[7,3,6,4,5,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,4,5,1,6]=>[6,4,2,5,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]] [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,4,5,1,7]=>[7,4,2,5,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,5,1,8]=>[7,4,2,5,1,3,6,8]=>[[1,4,7,8],[2,6],[3],[5]] [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,1,8]=>[7,4,2,5,1,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]] [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,4,6,1,8]=>[7,3,4,6,2,1,5,8]=>[[1,3,4,8],[2,7],[5],[6]] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,4,7,1,8]=>[7,3,4,6,5,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]] [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,3,5,7,1,8]=>[7,3,5,2,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,6,7,1,8]=>[7,3,5,2,4,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,5,7,1,8]=>[7,4,2,5,6,3,1,8]=>[[1,4,5,8],[2,6],[3],[7]] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,5,7,1,8]=>[7,3,4,5,6,2,1,8]=>[[1,3,4,5,8],[2],[6],[7]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,1,2,3]=>[2,3,8,1,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,1,2,3]=>[2,3,8,1,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]] [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,1,2,3]=>[2,3,8,1,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,1,2,3]=>[2,3,8,1,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,1,2,3]=>[2,3,8,1,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,1,2,3]=>[2,3,8,1,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]] [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,1,2,3]=>[2,3,8,5,1,4,7,6]=>[[1,2,3,7],[4,6,8],[5]] [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,1,2,3]=>[2,3,8,6,4,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,1,2,3]=>[2,3,8,7,4,5,1,6]=>[[1,2,3,6,8],[4],[5],[7]] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,1,2,3]=>[2,3,8,7,4,5,6,1]=>[[1,2,3,6,7],[4],[5],[8]] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,1,2,3]=>[2,3,8,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7],[8]] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,1,2,3]=>[2,3,8,5,7,6,4,1]=>[[1,2,3,5],[4],[6],[7],[8]] [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]=>[[1,2,3,5,6,7],[4],[8]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,1,2,4]=>[2,4,1,8,3,5,6,7]=>[[1,2,4,7,8],[3,5,6]] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,1,2,4]=>[2,4,1,8,3,7,5,6]=>[[1,2,4,8],[3,5,6],[7]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,1,2,4]=>[2,4,1,8,6,3,5,7]=>[[1,2,4,8],[3,5,7],[6]] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,1,2,4]=>[2,4,1,8,6,3,7,5]=>[[1,2,4,7],[3,5,8],[6]] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,1,2,4]=>[2,4,1,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,1,2,4]=>[2,4,1,8,5,6,7,3]=>[[1,2,4,6,7],[3,5],[8]] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,1,2,5]=>[2,5,1,3,8,6,7,4]=>[[1,2,5,7],[3,4,6],[8]] [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,1,2,8]=>[2,7,1,3,5,6,4,8]=>[[1,2,5,6,8],[3,4],[7]] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,1,2,8]=>[2,7,1,5,6,3,4,8]=>[[1,2,5,8],[3,4,7],[6]] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,1,2,5]=>[2,5,4,1,8,3,7,6]=>[[1,2,5],[3,6,7],[4,8]] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,1,2,5]=>[2,5,4,1,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,1,2,6]=>[2,6,4,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,1,2,6]=>[2,6,4,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,1,2,7]=>[2,7,4,1,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,1,2,8]=>[2,7,4,1,6,5,3,8]=>[[1,2,5,8],[3,6],[4],[7]] [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,1,2,7]=>[2,7,5,3,1,4,8,6]=>[[1,2,6,7],[3,8],[4],[5]] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,1,2,8]=>[2,7,6,3,4,5,1,8]=>[[1,2,5,6,8],[3],[4],[7]] [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,1,2,8]=>[2,7,6,3,5,4,1,8]=>[[1,2,5,8],[3],[4],[6],[7]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,1,2,7]=>[2,7,6,5,3,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,1,2,8]=>[2,7,5,3,6,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,1,3,4]=>[3,1,4,8,2,5,6,7]=>[[1,3,4,7,8],[2,5,6]] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,1,3,4]=>[3,1,4,8,2,6,7,5]=>[[1,3,4,7],[2,5,6],[8]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,1,3,4]=>[3,1,4,8,6,2,5,7]=>[[1,3,4,8],[2,5,7],[6]] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,1,3,4]=>[3,1,4,8,6,2,7,5]=>[[1,3,4,7],[2,5,8],[6]] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,1,3,4]=>[3,1,4,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,1,3,4]=>[3,1,4,8,6,5,7,2]=>[[1,3,4,7],[2,5],[6],[8]] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,1,3,4]=>[3,1,4,8,5,6,7,2]=>[[1,3,4,6,7],[2,5],[8]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,1,3,5]=>[3,1,5,2,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]] [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,1,3,5]=>[3,1,5,2,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,1,3,5]=>[3,1,5,2,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,1,3,5]=>[3,1,5,2,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,1,3,6]=>[3,1,6,2,4,8,5,7]=>[[1,3,5,6,8],[2,4,7]] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,1,3,6]=>[3,1,6,2,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,1,3,7]=>[3,1,7,2,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,1,3,8]=>[3,1,7,2,5,6,4,8]=>[[1,3,5,6,8],[2,4],[7]] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,1,3,6]=>[3,1,6,5,2,8,7,4]=>[[1,3,6],[2,4,7],[5,8]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,2,1,3,7]=>[3,1,7,6,4,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]] [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,1,3,8]=>[3,1,7,6,5,4,2,8]=>[[1,3,8],[2,4],[5],[6],[7]] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,1,3,8]=>[3,1,7,5,6,2,4,8]=>[[1,3,5,8],[2,4,7],[6]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,1,4,5]=>[4,1,2,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,2,1,4,5]=>[4,1,2,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,2,1,4,5]=>[4,1,2,5,8,7,3,6]=>[[1,3,4,5],[2,6,8],[7]] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,1,4,5]=>[4,1,2,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,1,4,6]=>[4,1,2,6,3,8,5,7]=>[[1,3,4,6,8],[2,5,7]] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,2,1,4,6]=>[4,1,2,6,3,8,7,5]=>[[1,3,4,6],[2,5,7],[8]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,1,4,7]=>[4,1,2,7,3,5,8,6]=>[[1,3,4,6,7],[2,5,8]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,2,1,4,7]=>[4,1,2,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,1,4,8]=>[4,1,2,7,5,6,3,8]=>[[1,3,4,6,8],[2,5],[7]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,1,5,6]=>[5,1,2,3,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,1,5,6]=>[5,1,2,3,6,8,7,4]=>[[1,3,4,5,6],[2,7],[8]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,1,5,7]=>[5,1,2,3,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]] [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,2,1,5,8]=>[5,1,2,3,7,6,4,8]=>[[1,3,4,5,8],[2,6],[7]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,1,6,7]=>[6,1,2,3,4,7,8,5]=>[[1,3,4,5,6,7],[2,8]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,2,1,5,7]=>[5,1,4,2,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]] [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,1,7,8]=>[6,1,4,2,5,3,7,8]=>[[1,3,5,7,8],[2,6],[4]] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,3,1,4,5]=>[4,3,1,5,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,1,4,5]=>[4,3,1,5,8,6,7,2]=>[[1,4,5,7],[2,6],[3,8]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,3,1,4,6]=>[4,3,1,6,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,1,4,7]=>[4,3,1,7,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,1,4,7]=>[4,3,1,7,6,2,8,5]=>[[1,4,7],[2,5,8],[3,6]] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,1,4,8]=>[4,3,1,7,6,2,5,8]=>[[1,4,7,8],[2,5],[3,6]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,2,3,1,6,7]=>[6,3,1,2,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]] [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,1,6,8]=>[6,3,1,2,4,7,5,8]=>[[1,4,5,6,8],[2,7],[3]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,1,6,7]=>[6,3,1,5,2,7,8,4]=>[[1,4,6,7],[2,5,8],[3]] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,3,1,7,8]=>[6,3,1,5,4,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,1,5,6]=>[5,4,2,1,6,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]] [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,4,1,7,8]=>[6,4,2,1,5,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,1,7,8]=>[6,5,2,3,4,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,3,4,1,6,7]=>[6,3,4,1,2,7,8,5]=>[[1,3,6,7],[2,5,8],[4]] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,4,1,7,8]=>[6,3,4,1,5,2,7,8]=>[[1,3,5,7,8],[2,6],[4]] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,5,1,6,8]=>[6,3,5,2,1,7,4,8]=>[[1,3,6,8],[2,7],[4],[5]] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,1,7,8]=>[6,4,2,5,3,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,1,2,3,4]=>[2,3,4,8,1,5,6,7]=>[[1,2,3,4,7,8],[5,6]] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,1,2,3,4]=>[2,3,4,8,1,5,7,6]=>[[1,2,3,4,7],[5,6],[8]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,1,2,3,4]=>[2,3,4,8,1,7,5,6]=>[[1,2,3,4,8],[5,6],[7]] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,1,2,3,4]=>[2,3,4,8,1,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,1,2,3,4]=>[2,3,4,8,1,6,7,5]=>[[1,2,3,4,7],[5,6],[8]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,1,2,3,4]=>[2,3,4,8,6,1,5,7]=>[[1,2,3,4,8],[5,7],[6]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,1,2,3,4]=>[2,3,4,8,6,1,7,5]=>[[1,2,3,4,7],[5,8],[6]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,1,2,3,4]=>[2,3,4,8,7,5,1,6]=>[[1,2,3,4,8],[5],[6],[7]] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,1,2,3,4]=>[2,3,4,8,7,5,6,1]=>[[1,2,3,4,7],[5],[6],[8]] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,1,2,3,4]=>[2,3,4,8,7,6,5,1]=>[[1,2,3,4],[5],[6],[7],[8]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,1,2,3,4]=>[2,3,4,8,6,7,1,5]=>[[1,2,3,4,6],[5,8],[7]] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,1,2,3,4]=>[2,3,4,8,6,7,5,1]=>[[1,2,3,4,6],[5],[7],[8]] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,1,2,3,4]=>[2,3,4,8,6,5,7,1]=>[[1,2,3,4,7],[5],[6],[8]] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[2,3,4,8,5,6,7,1]=>[[1,2,3,4,6,7],[5],[8]] [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,1,2,3,5]=>[2,3,5,1,8,4,7,6]=>[[1,2,3,5],[4,6,7],[8]] [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,1,2,3,5]=>[2,3,5,1,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]] [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,1,2,3,5]=>[2,3,5,1,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,1,2,3,6]=>[2,3,6,1,4,8,7,5]=>[[1,2,3,6],[4,5,7],[8]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,1,2,3,7]=>[2,3,7,1,4,5,8,6]=>[[1,2,3,6,7],[4,5,8]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,1,2,3,7]=>[2,3,7,1,6,4,8,5]=>[[1,2,3,7],[4,5,8],[6]] [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,1,2,3,8]=>[2,3,7,1,6,5,4,8]=>[[1,2,3,8],[4,5],[6],[7]] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,1,2,3,8]=>[2,3,7,1,5,6,4,8]=>[[1,2,3,6,8],[4,5],[7]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,1,2,3,6]=>[2,3,6,5,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,1,2,3,6]=>[2,3,6,5,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,1,2,3,8]=>[2,3,7,6,5,4,1,8]=>[[1,2,3,8],[4],[5],[6],[7]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,1,2,3,7]=>[2,3,7,5,6,1,8,4]=>[[1,2,3,5,7],[4,8],[6]] [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,1,2,3,8]=>[2,3,7,5,6,4,1,8]=>[[1,2,3,5,8],[4],[6],[7]] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,1,2,3,8]=>[2,3,7,5,4,6,1,8]=>[[1,2,3,6,8],[4],[5],[7]] [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,1,2,4,5]=>[2,4,1,5,8,3,7,6]=>[[1,2,4,5],[3,6,7],[8]] [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,1,2,4,5]=>[2,4,1,5,8,7,3,6]=>[[1,2,4,5],[3,6,8],[7]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,1,2,4,6]=>[2,4,1,6,3,8,5,7]=>[[1,2,4,6],[3,5,7,8]] [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,1,2,4,7]=>[2,4,1,7,3,5,8,6]=>[[1,2,4,7],[3,5,6,8]] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,1,2,4,8]=>[2,4,1,7,5,6,3,8]=>[[1,2,4,6,8],[3,5],[7]] [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,1,2,5,6]=>[2,5,1,3,6,8,4,7]=>[[1,2,5,6],[3,4,7,8]] [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,1,2,5,6]=>[2,5,1,3,6,8,7,4]=>[[1,2,5,6],[3,4,7],[8]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,1,2,5,7]=>[2,5,1,3,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]] [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,1,2,5,8]=>[2,5,1,3,7,4,6,8]=>[[1,2,5,7,8],[3,4,6]] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,1,2,7,8]=>[2,6,1,3,5,4,7,8]=>[[1,2,5,7,8],[3,4],[6]] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,1,2,7,8]=>[2,6,1,5,4,3,7,8]=>[[1,2,7,8],[3,4],[5],[6]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,1,2,6,7]=>[2,6,4,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,1,2,6,8]=>[2,6,4,1,3,7,5,8]=>[[1,2,6,8],[3,5,7],[4]] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,1,2,7,8]=>[2,6,4,1,5,3,7,8]=>[[1,2,5,7,8],[3,6],[4]] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,1,2,7,8]=>[2,6,5,3,4,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]] [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,1,2,7,8]=>[2,6,4,5,3,1,7,8]=>[[1,2,4,7,8],[3],[5],[6]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,1,3,4,6]=>[3,1,4,6,2,8,5,7]=>[[1,3,4,6],[2,5,7,8]] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,1,3,4,6]=>[3,1,4,6,2,8,7,5]=>[[1,3,4,6],[2,5,7],[8]] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,1,3,4,8]=>[3,1,4,7,5,6,2,8]=>[[1,3,4,6,8],[2,5],[7]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,1,3,5,7]=>[3,1,5,2,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]] [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,1,3,5,8]=>[3,1,5,2,7,4,6,8]=>[[1,3,5,7,8],[2,4,6]] [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,2,1,3,6,7]=>[3,1,6,2,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,1,3,7,8]=>[3,1,6,2,5,4,7,8]=>[[1,3,5,7,8],[2,4],[6]] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,2,1,3,7,8]=>[3,1,6,5,2,4,7,8]=>[[1,3,6,7,8],[2,4],[5]] [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,1,3,7,8]=>[3,1,6,5,4,2,7,8]=>[[1,3,7,8],[2,4],[5],[6]] [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,1,4,5,6]=>[4,1,2,5,6,8,3,7]=>[[1,3,4,5,6],[2,7,8]] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,1,4,5,6]=>[4,1,2,5,6,8,7,3]=>[[1,3,4,5,6],[2,7],[8]] [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,1,4,5,7]=>[4,1,2,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,1,4,5,8]=>[4,1,2,5,7,3,6,8]=>[[1,3,4,5,8],[2,6,7]] [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,1,4,5,8]=>[4,1,2,5,7,6,3,8]=>[[1,3,4,5,8],[2,6],[7]] [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,1,4,6,7]=>[4,1,2,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,1,4,6,8]=>[4,1,2,6,3,7,5,8]=>[[1,3,4,6,8],[2,5,7]] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,1,4,7,8]=>[4,1,2,6,5,3,7,8]=>[[1,3,4,7,8],[2,5],[6]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,2,1,5,6,7]=>[5,1,2,3,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,1,5,6,8]=>[5,1,2,3,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[[1,3,4,5,6,7,8],[2]] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,1,6,7,8]=>[5,1,2,4,3,6,7,8]=>[[1,3,4,6,7,8],[2],[5]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,1,5,6,7]=>[5,1,4,2,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,1,6,7,8]=>[5,1,4,2,3,6,7,8]=>[[1,3,5,6,7,8],[2],[4]] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,1,6,7,8]=>[5,1,4,3,2,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,1,6,7,8]=>[5,1,3,4,2,6,7,8]=>[[1,3,4,6,7,8],[2],[5]] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,1,4,5,6]=>[4,3,1,5,6,8,7,2]=>[[1,4,5,6],[2,7],[3,8]] [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,1,4,6,8]=>[4,3,1,6,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]] [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[6,5,2,3,1,4,7,8]=>[4,3,1,6,2,5,7,8]=>[[1,4,6,7,8],[2,5],[3]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,1,5,6,7]=>[5,3,1,2,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,1,6,7,8]=>[5,3,1,2,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,1,6,7,8]=>[5,3,1,4,2,6,7,8]=>[[1,4,6,7,8],[2,5],[3]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,1,5,6,7]=>[5,4,2,1,6,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]] [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,1,5,7,8]=>[5,4,2,1,6,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,1,6,7,8]=>[5,4,2,1,3,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,1,5,6,7]=>[5,3,4,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,1,6,7,8]=>[5,3,4,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,1,2,3,4,5]=>[2,3,4,5,8,1,6,7]=>[[1,2,3,4,5,8],[6,7]] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,1,2,3,4,5]=>[2,3,4,5,8,1,7,6]=>[[1,2,3,4,5],[6,7],[8]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,1,2,3,4,5]=>[2,3,4,5,8,7,1,6]=>[[1,2,3,4,5],[6,8],[7]] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,1,2,3,4,5]=>[2,3,4,5,8,7,6,1]=>[[1,2,3,4,5],[6],[7],[8]] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[2,3,4,5,8,6,7,1]=>[[1,2,3,4,5,7],[6],[8]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,1,2,3,4,6]=>[2,3,4,6,1,8,5,7]=>[[1,2,3,4,6],[5,7,8]] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,1,2,3,4,6]=>[2,3,4,6,1,8,7,5]=>[[1,2,3,4,6],[5,7],[8]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,1,2,3,4,7]=>[2,3,4,7,1,5,8,6]=>[[1,2,3,4,7],[5,6,8]] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,1,2,3,4,8]=>[2,3,4,7,1,5,6,8]=>[[1,2,3,4,7,8],[5,6]] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,1,2,3,4,8]=>[2,3,4,7,1,6,5,8]=>[[1,2,3,4,8],[5,6],[7]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,1,2,3,4,7]=>[2,3,4,7,6,1,8,5]=>[[1,2,3,4,7],[5,8],[6]] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,1,2,3,4,8]=>[2,3,4,7,6,1,5,8]=>[[1,2,3,4,8],[5,7],[6]] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,1,2,3,4,8]=>[2,3,4,7,6,5,1,8]=>[[1,2,3,4,8],[5],[6],[7]] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>[2,3,4,7,5,6,1,8]=>[[1,2,3,4,6,8],[5],[7]] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,1,2,3,6,8]=>[2,3,6,1,4,7,5,8]=>[[1,2,3,6,8],[4,5,7]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,1,2,3,6,7]=>[2,3,6,5,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,1,2,4,6,7]=>[2,4,1,6,3,7,8,5]=>[[1,2,4,6,7],[3,5,8]] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,1,2,4,6,8]=>[2,4,1,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,1,2,5,6,7]=>[2,5,1,3,6,7,8,4]=>[[1,2,5,6,7],[3,4,8]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,1,2,5,6,7]=>[2,5,4,1,6,7,8,3]=>[[1,2,5,6,7],[3,8],[4]] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[7,3,4,1,2,5,6,8]=>[2,5,4,1,6,7,3,8]=>[[1,2,5,6,8],[3,7],[4]] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,1,2,6,7,8]=>[2,5,3,4,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,1,3,4,5,6]=>[3,1,4,5,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,1,3,5,6,7]=>[3,1,5,2,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,1,4,5,6,7]=>[4,1,2,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,1,4,5,7,8]=>[4,1,2,5,6,3,7,8]=>[[1,3,4,5,7,8],[2,6]] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,1,4,5,6,7]=>[4,3,1,5,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,1,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]] [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],[7],[8]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[8,4,1,2,3,5,6,7]=>[2,3,5,1,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[4,5,1,2,3,6,7,8]=>[2,3,5,4,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[8,3,1,2,4,5,6,7]=>[2,4,1,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,3,1,2,4,5,7,8]=>[2,4,1,5,6,3,7,8]=>[[1,2,4,5,7,8],[3,6]] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[4,3,1,2,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1,3,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]] [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]] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>[[1,2,3,4,6,7,8],[5]] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]] [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]] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[10,1,2,3,4,6,7,8,9,5]=>[[1,3,4,5,6,7,8,9],[2],[10]]
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
Robinson-Schensted recording tableau
Description
Sends a permutation to its Robinson-Schensted recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.