Identifier
Mp00025: to 132-avoiding permutationPermutations
Mp00086: Permutations first fundamental transformationPermutations
Mp00059: Permutations Robinson-Schensted insertion 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]=>[[1,2],[3]] [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]=>[[1,3],[2]] [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]=>[[1,2,3],[4]] [1,0,1,0,1,1,0,0]=>[3,4,2,1]=>[4,1,3,2]=>[[1,2],[3],[4]] [1,0,1,1,0,0,1,0]=>[4,2,3,1]=>[4,3,1,2]=>[[1,2],[3],[4]] [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]=>[[1,3],[2,4]] [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[2,4,3,1]=>[[1,3],[2],[4]] [1,1,0,1,0,0,1,0]=>[4,2,1,3]=>[3,1,4,2]=>[[1,2],[3,4]] [1,1,0,1,0,1,0,0]=>[3,2,1,4]=>[3,1,2,4]=>[[1,2,4],[3]] [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]=>[[1,3,4],[2]] [1,1,1,0,0,1,0,0]=>[3,1,2,4]=>[2,3,1,4]=>[[1,3,4],[2]] [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]=>[[1,2,3,4],[5]] [1,0,1,0,1,0,1,1,0,0]=>[4,5,3,2,1]=>[5,1,2,4,3]=>[[1,2,3],[4],[5]] [1,0,1,0,1,1,0,0,1,0]=>[5,3,4,2,1]=>[5,1,4,2,3]=>[[1,2,3],[4],[5]] [1,0,1,0,1,1,0,1,0,0]=>[4,3,5,2,1]=>[5,1,4,3,2]=>[[1,2],[3],[4],[5]] [1,0,1,0,1,1,1,0,0,0]=>[3,4,5,2,1]=>[5,1,3,4,2]=>[[1,2,4],[3],[5]] [1,0,1,1,0,0,1,0,1,0]=>[5,4,2,3,1]=>[5,3,1,2,4]=>[[1,2,4],[3],[5]] [1,0,1,1,0,0,1,1,0,0]=>[4,5,2,3,1]=>[5,3,1,4,2]=>[[1,2],[3,4],[5]] [1,0,1,1,0,1,0,0,1,0]=>[5,3,2,4,1]=>[5,4,2,1,3]=>[[1,3],[2],[4],[5]] [1,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1]=>[5,4,2,3,1]=>[[1,3],[2],[4],[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]=>[[1,2],[3,4],[5]] [1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1]=>[5,3,4,2,1]=>[[1,4],[2],[3],[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]=>[[1,3,4],[2,5]] [1,1,0,0,1,0,1,1,0,0]=>[4,5,3,1,2]=>[2,5,1,4,3]=>[[1,3],[2,4],[5]] [1,1,0,0,1,1,0,0,1,0]=>[5,3,4,1,2]=>[2,5,4,1,3]=>[[1,3],[2,4],[5]] [1,1,0,0,1,1,0,1,0,0]=>[4,3,5,1,2]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]] [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[1,3,4],[2],[5]] [1,1,0,1,0,0,1,0,1,0]=>[5,4,2,1,3]=>[3,1,5,2,4]=>[[1,2,4],[3,5]] [1,1,0,1,0,0,1,1,0,0]=>[4,5,2,1,3]=>[3,1,5,4,2]=>[[1,2],[3,4],[5]] [1,1,0,1,0,1,0,0,1,0]=>[5,3,2,1,4]=>[4,1,2,5,3]=>[[1,2,3],[4,5]] [1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,5]=>[4,1,2,3,5]=>[[1,2,3,5],[4]] [1,1,0,1,0,1,1,0,0,0]=>[3,4,2,1,5]=>[4,1,3,2,5]=>[[1,2,5],[3],[4]] [1,1,0,1,1,0,0,0,1,0]=>[5,2,3,1,4]=>[4,3,1,5,2]=>[[1,2],[3,5],[4]] [1,1,0,1,1,0,0,1,0,0]=>[4,2,3,1,5]=>[4,3,1,2,5]=>[[1,2,5],[3],[4]] [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]=>[[1,3,4],[2,5]] [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]] [1,1,1,0,0,1,0,0,1,0]=>[5,3,1,2,4]=>[2,4,1,5,3]=>[[1,3,5],[2,4]] [1,1,1,0,0,1,0,1,0,0]=>[4,3,1,2,5]=>[2,4,1,3,5]=>[[1,3,5],[2,4]] [1,1,1,0,0,1,1,0,0,0]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]] [1,1,1,0,1,0,0,0,1,0]=>[5,2,1,3,4]=>[3,1,4,5,2]=>[[1,2,5],[3,4]] [1,1,1,0,1,0,0,1,0,0]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[[1,2,5],[3,4]] [1,1,1,0,1,0,1,0,0,0]=>[3,2,1,4,5]=>[3,1,2,4,5]=>[[1,2,4,5],[3]] [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]=>[[1,3,4,5],[2]] [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[1,3,4,5],[2]] [1,1,1,1,0,0,1,0,0,0]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[1,3,4,5],[2]] [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]=>[[1,2,3,4,5],[6]] [1,0,1,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,2,1]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[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]=>[[1,2,3,4],[5],[6]] [1,0,1,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,2,1]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[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]=>[[1,2,3,5],[4],[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]=>[[1,2,3,5],[4],[6]] [1,0,1,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,2,1]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]] [1,0,1,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,2,1]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]] [1,0,1,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,2,1]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[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]=>[[1,2],[3],[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]=>[[1,2,3],[4,5],[6]] [1,0,1,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,2,1]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[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]=>[[1,2,5],[3],[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]=>[[1,2,4,5],[3],[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]=>[[1,2,4,5],[3],[6]] [1,0,1,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,3,1]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]] [1,0,1,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,3,1]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]] [1,0,1,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,3,1]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[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]=>[[1,2,5],[3,4],[6]] [1,0,1,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,4,1]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]] [1,0,1,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,4,1]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]] [1,0,1,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,1]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]] [1,0,1,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,1]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[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]=>[[1,3],[2],[4],[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]=>[[1,3],[2],[4],[5],[6]] [1,0,1,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,6,1]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[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]=>[[1,2,5],[3,4],[6]] [1,0,1,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,4,1]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]] [1,0,1,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,5,1]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]] [1,0,1,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,6,1]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[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]=>[[1,4],[2],[3],[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]=>[[1,3],[2,5],[4],[6]] [1,0,1,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[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]=>[[1,3,5],[2],[4],[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]=>[[1,2,5],[3,4],[6]] [1,0,1,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,6,1]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[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]=>[[1,4,5],[2],[3],[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]=>[[1,3,4,5],[2,6]] [1,1,0,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,1,2]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[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]=>[[1,3,4],[2,5],[6]] [1,1,0,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,1,2]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[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]=>[[1,3,5],[2,4],[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]=>[[1,3,5],[2,4],[6]] [1,1,0,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,1,2]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]] [1,1,0,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,1,2]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]] [1,1,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,1,2]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[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]=>[[1,3],[2],[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]=>[[1,3,5],[2,4],[6]] [1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,1,2]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[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]=>[[1,3,5],[2],[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]=>[[1,3,4,5],[2],[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]=>[[1,2,4,5],[3,6]] [1,1,0,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,1,3]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[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]=>[[1,2,4],[3,5],[6]] [1,1,0,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,1,3]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]] [1,1,0,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,1,3]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[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]=>[[1,2,3,5],[4,6]] [1,1,0,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,1,4]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]] [1,1,0,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,1,5]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]] [1,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,1,6]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]] [1,1,0,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,1,6]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[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]=>[[1,2,3],[4,6],[5]] [1,1,0,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,1,6]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]] [1,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,1,6]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[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]=>[[1,2,4,6],[3],[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]=>[[1,2,5],[3,6],[4]] [1,1,0,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,1,4]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]] [1,1,0,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,1,5]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]] [1,1,0,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,1,6]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]] [1,1,0,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,1,6]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]] [1,1,0,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,1,5]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]] [1,1,0,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,1,6]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]] [1,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,1,6]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[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]=>[[1,2,6],[3,4],[5]] [1,1,0,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,1,6]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]] [1,1,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[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]=>[[1,3,4,5],[2,6]] [1,1,1,0,0,0,1,0,1,1,0,0]=>[5,6,4,1,2,3]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[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]=>[[1,3,4],[2,5],[6]] [1,1,1,0,0,0,1,1,0,1,0,0]=>[5,4,6,1,2,3]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[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]=>[[1,3,4,5],[2],[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]=>[[1,3,5],[2,4,6]] [1,1,1,0,0,1,0,0,1,1,0,0]=>[5,6,3,1,2,4]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[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]=>[[1,3,4],[2,5,6]] [1,1,1,0,0,1,0,1,0,1,0,0]=>[5,4,3,1,2,6]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]] [1,1,1,0,0,1,0,1,1,0,0,0]=>[4,5,3,1,2,6]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[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]=>[[1,3,6],[2,4],[5]] [1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,4,1,2,6]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]] [1,1,1,0,0,1,1,0,1,0,0,0]=>[4,3,5,1,2,6]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[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]=>[[1,3,4,6],[2],[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]=>[[1,2,5],[3,4,6]] [1,1,1,0,1,0,0,0,1,1,0,0]=>[5,6,2,1,3,4]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[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]=>[[1,2,4],[3,5,6]] [1,1,1,0,1,0,0,1,0,1,0,0]=>[5,4,2,1,3,6]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,5,2,1,3,6]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[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]=>[[1,2,3,6],[4,5]] [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,3,2,1,4,6]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]] [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,5,6]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,2,1,5,6]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[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]=>[[1,2,6],[3,5],[4]] [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,3,1,4,6]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]] [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,1,5,6]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]] [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]=>[[1,3,4,5],[2,6]] [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[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]=>[[1,3,4,6],[2,5]] [1,1,1,1,0,0,0,1,0,1,0,0]=>[5,4,1,2,3,6]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[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]=>[[1,3,5,6],[2,4]] [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,1,2,4,6]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,1,2,5,6]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]] [1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[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]=>[[1,2,5,6],[3,4]] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,2,1,3,4,6]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]] [1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,4,5,6]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]] [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]=>[[1,3,4,5,6],[2]] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]] [1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]] [1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]] [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]=>[[1,2,3,4,5,6],[7]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,2,1]=>[7,1,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,2,1]=>[7,1,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,2,1]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,2,1]=>[7,1,2,3,5,6,4]=>[[1,2,3,4,6],[5],[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]=>[[1,2,3,4,6],[5],[7]] [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]=>[[1,2,3,4],[5,6],[7]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,2,1]=>[7,1,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]] [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]=>[[1,2,3,5],[4],[6],[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]=>[[1,2,3],[4],[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]=>[[1,2,3,4],[5,6],[7]] [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]=>[[1,2,3,6],[4],[5],[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]=>[[1,2,3,6],[4],[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]=>[[1,2,3,5,6],[4],[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]=>[[1,2,3,5,6],[4],[7]] [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]=>[[1,2,3,5],[4,6],[7]] [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]=>[[1,2,3,5],[4,6],[7]] [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]=>[[1,2,3],[4,5],[6],[7]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,2,1]=>[7,1,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7]] [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]=>[[1,2,4,6],[3],[5],[7]] [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]=>[[1,2,4],[3,6],[5],[7]] [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]=>[[1,2,4,5],[3],[6],[7]] [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]=>[[1,2,4,5],[3],[6],[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]=>[[1,2,4],[3],[5],[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]=>[[1,2,4],[3],[5],[6],[7]] [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]=>[[1,2,4],[3],[5],[6],[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]=>[[1,2],[3],[4],[5],[6],[7]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,2,1]=>[7,1,6,4,5,3,2]=>[[1,2,5],[3],[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]=>[[1,2,3,6],[4,5],[7]] [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]=>[[1,2,3,6],[4,5],[7]] [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]=>[[1,2,5],[3,6],[4],[7]] [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]=>[[1,2,5],[3,6],[4],[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]=>[[1,2,5],[3],[4],[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]=>[[1,2,4],[3,6],[5],[7]] [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]=>[[1,2,4],[3,6],[5],[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]=>[[1,2,4,6],[3],[5],[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]=>[[1,2,6],[3],[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]=>[[1,2,3,6],[4,5],[7]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,2,1]=>[7,1,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[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]=>[[1,2,5,6],[3],[4],[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]=>[[1,2,5,6],[3],[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]=>[[1,2,4,5,6],[3],[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]=>[[1,2,4,5,6],[3],[7]] [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]=>[[1,2,4,5],[3,6],[7]] [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]=>[[1,2,4,5],[3,6],[7]] [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]=>[[1,2,4],[3,5],[6],[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]=>[[1,2,4,6],[3,5],[7]] [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]=>[[1,2,4,6],[3,5],[7]] [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]=>[[1,2,4],[3,5,6],[7]] [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]=>[[1,2,5],[3,4],[6],[7]] [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]=>[[1,2,5],[3,4],[6],[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]=>[[1,2],[3,4],[5],[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]=>[[1,2,4],[3,5,6],[7]] [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]=>[[1,2,6],[3,4],[5],[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]=>[[1,2,6],[3,4],[5],[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]=>[[1,2,5,6],[3,4],[7]] [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]=>[[1,3,5,6],[2],[4],[7]] [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]=>[[1,3,5],[2,6],[4],[7]] [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]=>[[1,3,5],[2,6],[4],[7]] [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]=>[[1,3],[2,5],[4,6],[7]] [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]=>[[1,3,6],[2,5],[4],[7]] [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]=>[[1,3,4,6],[2],[5],[7]] [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]=>[[1,3,4],[2,6],[5],[7]] [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]=>[[1,3,4,5],[2],[6],[7]] [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]=>[[1,3,4,5],[2],[6],[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]=>[[1,3,4],[2],[5],[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]=>[[1,3,4],[2],[5],[6],[7]] [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]=>[[1,3,4],[2],[5],[6],[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]=>[[1,3],[2],[4],[5],[6],[7]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,7,1]=>[7,6,2,4,5,3,1]=>[[1,3,5],[2],[4],[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]=>[[1,3,6],[2],[4],[5],[7]] [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]=>[[1,3],[2,6],[4],[5],[7]] [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]=>[[1,3,5],[2],[4],[6],[7]] [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]=>[[1,3,5],[2],[4],[6],[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]=>[[1,3],[2,5],[4],[6],[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]=>[[1,4],[2],[3],[5],[6],[7]] [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]=>[[1,4],[2],[3],[5],[6],[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]=>[[1,4],[2],[3],[5],[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]=>[[1,3],[2,5],[4],[6],[7]] [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]=>[[1,3],[2,5],[4],[6],[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]=>[[1,5],[2],[3],[4],[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]=>[[1,2,5,6],[3,4],[7]] [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]=>[[1,2,5],[3,4,6],[7]] [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]=>[[1,2,5],[3,4,6],[7]] [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]=>[[1,2,5],[3,4],[6],[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]=>[[1,2,5,6],[3,4],[7]] [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]=>[[1,4,6],[2,5],[3],[7]] [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]=>[[1,4,6],[2,5],[3],[7]] [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]=>[[1,4,5],[2,6],[3],[7]] [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]=>[[1,4,5],[2,6],[3],[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]=>[[1,4],[2,5],[3],[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]=>[[1,4],[2,5],[3],[6],[7]] [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]=>[[1,4],[2,5],[3],[6],[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]=>[[1,4],[2],[3],[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]=>[[1,4,5],[2],[3],[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]=>[[1,3,6],[2,5],[4],[7]] [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]=>[[1,3,6],[2,5],[4],[7]] [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]=>[[1,3,5],[2,6],[4],[7]] [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]=>[[1,3,5],[2,6],[4],[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]=>[[1,3],[2,5],[4],[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]=>[[1,3,4],[2,6],[5],[7]] [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]=>[[1,3,4],[2,6],[5],[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]=>[[1,3,4,6],[2],[5],[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]=>[[1,3,6],[2],[4],[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]=>[[1,3],[2,6],[4],[5],[7]] [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]=>[[1,3],[2,6],[4],[5],[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]=>[[1,3,6],[2],[4],[5],[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]=>[[1,2,5,6],[3,4],[7]] [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]=>[[1,2,5,6],[3,4],[7]] [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]=>[[1,4,5],[2,6],[3],[7]] [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]=>[[1,4,5],[2,6],[3],[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]=>[[1,4,5],[2],[3],[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]=>[[1,4,6],[2,5],[3],[7]] [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]=>[[1,4,6],[2,5],[3],[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]=>[[1,4,6],[2,5],[3],[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]=>[[1,4,6],[2],[3],[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]=>[[1,3,6],[2,5],[4],[7]] [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]=>[[1,3,6],[2,5],[4],[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]=>[[1,3,6],[2,5],[4],[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]=>[[1,3,5,6],[2],[4],[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]=>[[1,2,5,6],[3,4],[7]] [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]=>[[1,4,5,6],[2],[3],[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]=>[[1,4,5,6],[2],[3],[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]=>[[1,4,5,6],[2],[3],[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]=>[[1,3,4,5,6],[2,7]] [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]=>[[1,3,4,5],[2,6],[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]=>[[1,3,4,5],[2,6],[7]] [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]=>[[1,3,4],[2,5],[6],[7]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,1,2]=>[2,7,1,3,5,6,4]=>[[1,3,4,6],[2,5],[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]=>[[1,3,4,6],[2,5],[7]] [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]=>[[1,3,4],[2,5,6],[7]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,1,2]=>[2,7,1,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]] [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]=>[[1,3,5],[2,4],[6],[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]=>[[1,3],[2,4],[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]=>[[1,3,4],[2,5,6],[7]] [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]=>[[1,3,6],[2,4],[5],[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]=>[[1,3,6],[2,4],[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]=>[[1,3,5,6],[2,4],[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]=>[[1,3,5,6],[2,4],[7]] [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]=>[[1,3,5],[2,4,6],[7]] [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]=>[[1,3,5],[2,4,6],[7]] [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]=>[[1,3,5],[2,4],[6],[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]=>[[1,3,5,6],[2,4],[7]] [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]=>[[1,3,4,6],[2],[5],[7]] [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]=>[[1,3,4],[2,6],[5],[7]] [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]=>[[1,3,4,5],[2],[6],[7]] [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]=>[[1,3,4,5],[2],[6],[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]=>[[1,3,4],[2],[5],[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]=>[[1,3,4],[2],[5],[6],[7]] [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]=>[[1,3,4],[2],[5],[6],[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]=>[[1,3],[2],[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]=>[[1,3,5],[2],[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]=>[[1,3,5,6],[2,4],[7]] [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]=>[[1,3,5,6],[2,4],[7]] [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]=>[[1,3,5],[2,6],[4],[7]] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,1,2]=>[2,7,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[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]=>[[1,3,5],[2],[4],[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]=>[[1,3,4],[2,6],[5],[7]] [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]=>[[1,3,4],[2,6],[5],[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]=>[[1,3,4,6],[2],[5],[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]=>[[1,3,6],[2],[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]=>[[1,3,5,6],[2,4],[7]] [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]=>[[1,3,5,6],[2],[4],[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]=>[[1,3,5,6],[2],[4],[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]=>[[1,3,5,6],[2],[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]=>[[1,3,4,5,6],[2],[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]=>[[1,2,4,5,6],[3,7]] [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]=>[[1,2,4,5],[3,6],[7]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,1,3]=>[3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,1,3]=>[3,1,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,1,3]=>[3,1,7,2,5,6,4]=>[[1,2,4,6],[3,5],[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]=>[[1,2,4,6],[3,5],[7]] [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]=>[[1,2,4],[3,5,6],[7]] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,1,3]=>[3,1,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,1,3]=>[3,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,1,3]=>[3,1,7,6,5,4,2]=>[[1,2],[3,4],[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]=>[[1,2,4],[3,5,6],[7]] [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]=>[[1,2,6],[3,4],[5],[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]=>[[1,2,6],[3,4],[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]=>[[1,2,5,6],[3,4],[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]=>[[1,2,3,5,6],[4,7]] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,1,4]=>[4,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,1,4]=>[4,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,1,4]=>[4,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,1,4]=>[4,1,2,7,5,6,3]=>[[1,2,3,6],[4,5],[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]=>[[1,2,3,4,6],[5,7]] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,1,5]=>[5,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,1,7]=>[6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]] [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]=>[[1,2,3,4,7],[5],[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]=>[[1,2,3,4],[5,7],[6]] [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]=>[[1,2,3,4,7],[5],[6]] [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]=>[[1,2,3,7],[4],[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]=>[[1,2,3,5,7],[4],[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]=>[[1,2,3,6],[4,7],[5]] [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]=>[[1,2,3],[4,6],[5,7]] [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]=>[[1,2,3,5],[4,7],[6]] [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]=>[[1,2,3,5,7],[4],[6]] [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]=>[[1,2,3,7],[4,5],[6]] [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]=>[[1,2,4],[3,7],[5],[6]] [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]=>[[1,2,4,7],[3],[5],[6]] [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]=>[[1,2,4,7],[3],[5],[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]=>[[1,2,7],[3],[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]=>[[1,2,3,7],[4,5],[6]] [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]=>[[1,2,3,7],[4,5],[6]] [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]=>[[1,2,5,7],[3],[4],[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]=>[[1,2,5,7],[3],[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]=>[[1,2,4,5,7],[3],[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]=>[[1,2,5,6],[3,7],[4]] [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]=>[[1,2,5],[3,6],[4,7]] [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]=>[[1,2,5],[3,6],[4,7]] [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]=>[[1,2],[3,5],[4,6],[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]=>[[1,2,6],[3,5],[4,7]] [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]=>[[1,2,4,6],[3,7],[5]] [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]=>[[1,2,4],[3,6],[5,7]] [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]=>[[1,2,4,5],[3,7],[6]] [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]=>[[1,2,4,5,7],[3],[6]] [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]=>[[1,2,4,7],[3,5],[6]] [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]=>[[1,2,4],[3,5,7],[6]] [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]=>[[1,2,4,7],[3,5],[6]] [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]=>[[1,2,7],[3,4],[5],[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]=>[[1,2,5,7],[3,4],[6]] [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]=>[[1,3,6],[2,7],[4],[5]] [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]=>[[1,3],[2,6],[4,7],[5]] [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]=>[[1,3,5],[2,7],[4],[6]] [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]=>[[1,3,5,7],[2],[4],[6]] [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]=>[[1,3,7],[2,5],[4],[6]] [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]=>[[1,3,4],[2,7],[5],[6]] [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]=>[[1,3,4,7],[2],[5],[6]] [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]=>[[1,3,4,7],[2],[5],[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]=>[[1,3,7],[2],[4],[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]=>[[1,3],[2,7],[4],[5],[6]] [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]=>[[1,3,7],[2],[4],[5],[6]] [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]=>[[1,3,7],[2],[4],[5],[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]=>[[1,2,6],[3,4,7],[5]] [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]=>[[1,2,6],[3,4],[5,7]] [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]=>[[1,2,5],[3,4,7],[6]] [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]=>[[1,2,5,7],[3,4],[6]] [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]=>[[1,2,5,7],[3,4],[6]] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,1,6]=>[6,3,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]] [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]=>[[1,4,7],[2,5],[3],[6]] [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]=>[[1,4,7],[2,5],[3],[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]=>[[1,4,7],[2],[3],[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]=>[[1,3,7],[2,5],[4],[6]] [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]=>[[1,3,7],[2,5],[4],[6]] [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]=>[[1,3,7],[2,5],[4],[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]=>[[1,3,5,7],[2],[4],[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]=>[[1,2,5,7],[3,4],[6]] [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]=>[[1,2,5,7],[3,4],[6]] [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]=>[[1,4,5,7],[2],[3],[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]=>[[1,4,5,7],[2],[3],[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]=>[[1,3,4,5,6],[2,7]] [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]=>[[1,3,4,5],[2,6],[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]=>[[1,3,4,5],[2,6],[7]] [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]=>[[1,3,4],[2,5],[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]=>[[1,3,4,6],[2,5],[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]=>[[1,3,4,6],[2,5],[7]] [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]=>[[1,3,4,6],[2,5],[7]] [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]=>[[1,3,4,5],[2],[6],[7]] [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]=>[[1,3,4,5],[2],[6],[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]=>[[1,3,4],[2],[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]=>[[1,3,4,6],[2,5],[7]] [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]=>[[1,3,4,6],[2],[5],[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]=>[[1,3,4,6],[2],[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]=>[[1,3,4,5,6],[2],[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]=>[[1,3,5,6],[2,4,7]] [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]=>[[1,3,5],[2,4,6],[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]=>[[1,3,5],[2,4,6],[7]] [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]=>[[1,3,5],[2,4],[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]=>[[1,3,5,6],[2,4],[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]=>[[1,3,4,6],[2,5,7]] [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]=>[[1,3,4],[2,5,6],[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]=>[[1,3,4,5],[2,6,7]] [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]=>[[1,3,4,5,7],[2,6]] [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]=>[[1,3,4,7],[2,5],[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]=>[[1,3,4],[2,5,7],[6]] [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]=>[[1,3,4,7],[2,5],[6]] [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]=>[[1,3,7],[2,4],[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]=>[[1,3,5,7],[2,4],[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]=>[[1,3,6],[2,4,7],[5]] [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]=>[[1,3,6],[2,4],[5,7]] [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]=>[[1,3,5],[2,4,7],[6]] [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]=>[[1,3,5,7],[2,4],[6]] [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]=>[[1,3,5,7],[2,4],[6]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,1,2,6]=>[2,6,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]] [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]=>[[1,3,4,7],[2],[5],[6]] [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]=>[[1,3,4,7],[2],[5],[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]=>[[1,3,7],[2],[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]=>[[1,3,5,7],[2,4],[6]] [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]=>[[1,3,5,7],[2,4],[6]] [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]=>[[1,3,5,7],[2],[4],[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]=>[[1,3,5,7],[2],[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]=>[[1,3,4,5,7],[2],[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]=>[[1,2,5,6],[3,4,7]] [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]=>[[1,2,5],[3,4,6],[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]=>[[1,2,5],[3,4,6],[7]] [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]=>[[1,2,5],[3,4],[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]=>[[1,2,5,6],[3,4],[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]=>[[1,2,4,6],[3,5,7]] [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]=>[[1,2,4],[3,5,6],[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]=>[[1,2,4,5],[3,6,7]] [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]=>[[1,2,4,5,7],[3,6]] [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]=>[[1,2,4,7],[3,5],[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]=>[[1,2,4],[3,5,7],[6]] [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]=>[[1,2,4,7],[3,5],[6]] [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]=>[[1,2,7],[3,4],[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]=>[[1,2,5,7],[3,4],[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]=>[[1,2,3,6],[4,5,7]] [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]=>[[1,2,3,6],[4,5],[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]=>[[1,2,3,5],[4,6,7]] [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]=>[[1,2,3,5,7],[4,6]] [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]=>[[1,2,3,7],[4,5],[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]=>[[1,2,3,4,7],[5,6]] [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]=>[[1,2,3,4,7],[5,6]] [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]=>[[1,2,3,4,6,7],[5]] [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]=>[[1,2,3,6,7],[4],[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]=>[[1,2,3,7],[4,6],[5]] [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]=>[[1,2,3,7],[4,6],[5]] [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]=>[[1,2,3,6,7],[4],[5]] [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]=>[[1,2,6,7],[3],[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]=>[[1,2,4,6,7],[3],[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]=>[[1,2,6],[3,5,7],[4]] [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]=>[[1,2,6],[3,5],[4,7]] [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]=>[[1,2,5],[3,6,7],[4]] [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]=>[[1,2,5,7],[3,6],[4]] [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]=>[[1,2,7],[3,5],[4,6]] [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]=>[[1,2,4,7],[3,6],[5]] [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]=>[[1,2,4,7],[3,6],[5]] [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]=>[[1,2,4,6,7],[3],[5]] [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]=>[[1,2,6,7],[3,4],[5]] [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]=>[[1,3,7],[2,6],[4],[5]] [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]=>[[1,3,7],[2,6],[4],[5]] [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]=>[[1,3,6,7],[2],[4],[5]] [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]=>[[1,3,6,7],[2],[4],[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]=>[[1,2,6,7],[3,4],[5]] [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]=>[[1,2,6,7],[3,4],[5]] [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]=>[[1,2,6,7],[3,4],[5]] [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]=>[[1,4,6,7],[2],[3],[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]=>[[1,3,4,5,6],[2,7]] [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]=>[[1,3,4,5],[2,6],[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]=>[[1,3,4,5],[2,6],[7]] [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]=>[[1,3,4,5],[2],[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]=>[[1,3,4,5,6],[2],[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]=>[[1,3,4,6],[2,5,7]] [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]=>[[1,3,4,6],[2,5],[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]=>[[1,3,4,5],[2,6,7]] [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]=>[[1,3,4,5,7],[2,6]] [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]=>[[1,3,4,7],[2,5],[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]=>[[1,3,4,7],[2,5],[6]] [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]=>[[1,3,4,7],[2,5],[6]] [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]=>[[1,3,4,7],[2],[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]=>[[1,3,4,5,7],[2],[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]=>[[1,3,5,6],[2,4,7]] [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]=>[[1,3,5,6],[2,4],[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]=>[[1,3,5,7],[2,4,6]] [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]=>[[1,3,5,7],[2,4,6]] [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]=>[[1,3,5,7],[2,4],[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]=>[[1,3,4,7],[2,5,6]] [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]=>[[1,3,4,7],[2,5,6]] [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]=>[[1,3,4,6,7],[2,5]] [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]=>[[1,3,6,7],[2,4],[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]=>[[1,3,6,7],[2,4],[5]] [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]=>[[1,3,6,7],[2,4],[5]] [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]=>[[1,3,6,7],[2,4],[5]] [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]=>[[1,3,6,7],[2],[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]=>[[1,3,4,6,7],[2],[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]=>[[1,2,5,6],[3,4,7]] [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]=>[[1,2,5,6],[3,4],[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]=>[[1,2,5,7],[3,4,6]] [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]=>[[1,2,5,7],[3,4,6]] [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]=>[[1,2,5,7],[3,4],[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]=>[[1,2,4,7],[3,5,6]] [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]=>[[1,2,4,7],[3,5,6]] [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]=>[[1,2,4,6,7],[3,5]] [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]=>[[1,2,6,7],[3,4],[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]=>[[1,2,3,6,7],[4,5]] [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]=>[[1,2,3,6,7],[4,5]] [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]=>[[1,2,3,6,7],[4,5]] [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]=>[[1,2,3,5,6,7],[4]] [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]=>[[1,2,5,6,7],[3],[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]=>[[1,2,6,7],[3,5],[4]] [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]=>[[1,2,6,7],[3,5],[4]] [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]=>[[1,2,6,7],[3,5],[4]] [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]=>[[1,2,5,6,7],[3],[4]] [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]=>[[1,3,4,5,6],[2,7]] [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]=>[[1,3,4,5,6],[2],[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]=>[[1,3,4,5,7],[2,6]] [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]=>[[1,3,4,5,7],[2,6]] [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]=>[[1,3,4,5,7],[2],[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]=>[[1,3,4,6,7],[2,5]] [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]=>[[1,3,4,6,7],[2,5]] [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]=>[[1,3,4,6,7],[2,5]] [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]=>[[1,3,4,6,7],[2],[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]=>[[1,3,5,6,7],[2,4]] [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]=>[[1,3,5,6,7],[2,4]] [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]=>[[1,3,5,6,7],[2,4]] [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]=>[[1,3,5,6,7],[2,4]] [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]=>[[1,3,5,6,7],[2],[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]=>[[1,2,5,6,7],[3,4]] [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]=>[[1,2,5,6,7],[3,4]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,2,1,3,4,6,7]=>[3,1,4,5,2,6,7]=>[[1,2,5,6,7],[3,4]] [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]=>[[1,2,5,6,7],[3,4]] [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]=>[[1,2,4,5,6,7],[3]] [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]=>[[1,3,4,5,6,7],[2]] [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]=>[[1,3,4,5,6,7],[2]] [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]=>[[1,3,4,5,6,7],[2]] [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]=>[[1,3,4,5,6,7],[2]] [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]=>[[1,3,4,5,6,7],[2]] [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]=>[[1,2,3,4,5,6,7],[8]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7],[8]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,2,1]=>[8,1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7],[8]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,2,1]=>[8,1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,2,1]=>[8,1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6],[8]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,2,1]=>[8,1,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6],[8]] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,2,1]=>[8,1,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7],[8]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,2,1]=>[8,1,2,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,2,1]=>[8,1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,2,1]=>[8,1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,3,2,1]=>[8,1,2,3,6,7,4,5]=>[[1,2,3,4,5],[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]=>[[1,2,3,4,7],[5],[6],[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]=>[[1,2,3,4,7],[5],[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]=>[[1,2,3,4,6,7],[5],[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]=>[[1,2,3,4,6,7],[5],[8]] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,2,1]=>[8,1,2,5,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,2,1]=>[8,1,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,3,2,1]=>[8,1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,3,2,1]=>[8,1,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,3,2,1]=>[8,1,2,6,4,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,3,2,1]=>[8,1,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,2,1]=>[8,1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,3,2,1]=>[8,1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[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]=>[[1,2,3,5],[4],[6],[7],[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]=>[[1,2,3],[4],[5],[6],[7],[8]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,3,2,1]=>[8,1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6],[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]=>[[1,2,3,4,7],[5,6],[8]] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,2,1]=>[8,1,2,5,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,3,2,1]=>[8,1,2,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,3,2,1]=>[8,1,2,6,4,5,7,3]=>[[1,2,3,5,7],[4],[6],[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]=>[[1,2,3,4,7],[5,6],[8]] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,2,1]=>[8,1,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5],[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]=>[[1,2,3,5,6,7],[4],[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]=>[[1,2,3,5,6,7],[4],[8]] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,2,1]=>[8,1,4,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,4,2,1]=>[8,1,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,2,1]=>[8,1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,2,1]=>[8,1,4,2,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]] [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]=>[[1,2,3,5,7],[4,6],[8]] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,2,1]=>[8,1,4,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,4,2,1]=>[8,1,4,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,2,1]=>[8,1,4,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[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]=>[[1,2,3,5],[4,6,7],[8]] [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]=>[[1,2,3,7],[4,5],[6],[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]=>[[1,2,3,7],[4,5],[6],[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]=>[[1,2,3,6,7],[4,5],[8]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,5,2,1]=>[8,1,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5],[8]] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,2,1]=>[8,1,5,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5],[8]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,5,2,1]=>[8,1,5,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5],[8]] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,5,2,1]=>[8,1,5,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5],[8]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,6,2,1]=>[8,1,6,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6],[8]] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,2,1]=>[8,1,6,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6],[8]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,7,2,1]=>[8,1,7,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,2,1]=>[8,1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,7,2,1]=>[8,1,7,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7],[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]=>[[1,2,4,5],[3],[6],[7],[8]] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,8,2,1]=>[8,1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,8,2,1]=>[8,1,7,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[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]=>[[1,2,5],[3],[4],[6],[7],[8]] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,8,2,1]=>[8,1,7,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7],[8]] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,2,1]=>[8,1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[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]=>[[1,2],[3],[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]=>[[1,2,6],[3],[4],[5],[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]=>[[1,2,3,6,7],[4,5],[8]] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,5,2,1]=>[8,1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,5,2,1]=>[8,1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,2,1]=>[8,1,4,5,2,6,7,3]=>[[1,2,3,6,7],[4,5],[8]] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,8,2,1]=>[8,1,4,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]] [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]=>[[1,2,5],[3,6],[4],[7],[8]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,7,2,1]=>[8,1,4,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,8,2,1]=>[8,1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[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]=>[[1,2,4,7],[3,6],[5],[8]] [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]=>[[1,2,4,7],[3,6],[5],[8]] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,8,2,1]=>[8,1,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,2,1]=>[8,1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6],[8]] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[8,1,6,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6],[8]] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,8,2,1]=>[8,1,6,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,6,2,1]=>[8,1,4,5,6,2,3,7]=>[[1,2,3,6,7],[4,5],[8]] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,2,1]=>[8,1,4,5,6,2,7,3]=>[[1,2,3,6,7],[4,5],[8]] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,2,1]=>[8,1,4,5,7,3,6,2]=>[[1,2,5,6],[3,7],[4],[8]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,7,2,1]=>[8,1,4,6,3,7,2,5]=>[[1,2,5,7],[3,6],[4],[8]] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,8,2,1]=>[8,1,4,6,3,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,8,2,1]=>[8,1,4,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,8,2,1]=>[8,1,5,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]] [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]=>[[1,2,6,7],[3],[4],[5],[8]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,2,1]=>[8,1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5],[8]] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,8,2,1]=>[8,1,4,5,6,7,3,2]=>[[1,2,5,6,7],[3],[4],[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]=>[[1,2,5,6,7],[3],[4],[8]] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,8,2,1]=>[8,1,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,2,1]=>[8,1,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,1]=>[8,1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[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]=>[[1,2,4,5,6,7],[3],[8]] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,3,1]=>[8,3,1,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,3,1]=>[8,3,1,2,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,3,1]=>[8,3,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,3,1]=>[8,3,1,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,3,1]=>[8,3,1,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,3,1]=>[8,3,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,2,3,1]=>[8,3,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[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]=>[[1,2,4,6,7],[3,5],[8]] [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]=>[[1,2,4,6,7],[3,5],[8]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,3,1]=>[8,3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,3,1]=>[8,3,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,2,3,1]=>[8,3,1,5,2,6,7,4]=>[[1,2,4,7],[3,5,6],[8]] [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]=>[[1,2,5,7],[3,4],[6],[8]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,3,1]=>[8,3,1,7,4,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]] [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]=>[[1,2,5],[3,4],[6],[7],[8]] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,3,1]=>[8,3,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[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]=>[[1,2],[3,4],[5],[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]=>[[1,2,6],[3,4],[5],[7],[8]] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,2,3,1]=>[8,3,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,2,3,1]=>[8,3,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[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]=>[[1,2,5,6,7],[3,4],[8]] [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]=>[[1,3,5,6,7],[2],[4],[8]] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,4,1]=>[8,4,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4],[8]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,4,1]=>[8,4,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4],[8]] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,4,1]=>[8,4,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,4,1]=>[8,4,2,1,3,6,7,5]=>[[1,3,5,7],[2,6],[4],[8]] [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]=>[[1,3,5,7],[2,6],[4],[8]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,4,1]=>[8,4,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,4,1]=>[8,4,2,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,4,1]=>[8,4,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[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]=>[[1,3,7],[2,5],[4,6],[8]] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,4,1]=>[8,4,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,5,1]=>[8,5,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5],[8]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,6,1]=>[8,6,2,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,6,1]=>[8,6,2,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,7,1]=>[8,7,2,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[8,7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,8,1]=>[8,7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,8,1]=>[8,7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,2,8,1]=>[8,7,2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]] [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]=>[[1,3,5,6],[2],[4],[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]=>[[1,3,6,7],[2],[4],[5],[8]] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,2,5,1]=>[8,5,4,2,1,3,7,6]=>[[1,3,6],[2,7],[4],[5],[8]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,2,5,1]=>[8,5,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4],[5],[8]] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,2,5,1]=>[8,5,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5],[8]] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,5,1]=>[8,5,4,2,1,6,7,3]=>[[1,3,7],[2,6],[4],[5],[8]] [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]=>[[1,3,5,7],[2],[4],[6],[8]] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,2,6,1]=>[8,6,4,2,3,1,7,5]=>[[1,3,5],[2,7],[4],[6],[8]] [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]=>[[1,3,5],[2,6],[4],[7],[8]] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,8,1]=>[8,7,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[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]=>[[1,3],[2,5],[4],[6],[7],[8]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,6,1]=>[8,6,5,3,2,1,4,7]=>[[1,4,7],[2],[3],[5],[6],[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]=>[[1,4],[2,7],[3],[5],[6],[8]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,7,1]=>[8,7,5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5],[7],[8]] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,8,1]=>[8,7,5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5],[7],[8]] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,5,2,8,1]=>[8,7,5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5],[7],[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]=>[[1,4,5],[2],[3],[6],[7],[8]] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,8,1]=>[8,7,6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7],[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]=>[[1,4,5],[2],[3],[6],[7],[8]] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,2,8,1]=>[8,7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[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]=>[[1,4],[2],[3],[5],[6],[7],[8]] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,8,1]=>[8,7,6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6],[7],[8]] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,2,8,1]=>[8,7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[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]=>[[1,3,6],[2,5],[4],[7],[8]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,2,7,1]=>[8,7,4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,2,8,1]=>[8,7,4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,8,1]=>[8,7,4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[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]=>[[1,4],[2,6],[3],[5],[7],[8]] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,2,8,1]=>[8,7,5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,2,8,1]=>[8,7,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7],[8]] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,2,8,1]=>[8,7,4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,2,8,1]=>[8,7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[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]=>[[1,2,5,6,7],[3,4],[8]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,4,1]=>[8,3,4,1,2,7,5,6]=>[[1,2,5,6],[3,4,7],[8]] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,4,1]=>[8,3,4,1,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,3,4,1]=>[8,3,4,1,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]] [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]=>[[1,2,5,6],[3,4],[7],[8]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,4,1]=>[8,3,4,1,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,4,1]=>[8,3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]] [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]=>[[1,4,6,7],[2,5],[3],[8]] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,3,5,1]=>[8,3,5,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3],[8]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,3,5,1]=>[8,3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3],[8]] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,5,1]=>[8,3,5,2,1,6,7,4]=>[[1,4,6,7],[2,5],[3],[8]] [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]=>[[1,4,5,7],[2,6],[3],[8]] [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,3,6,1]=>[8,3,6,2,4,1,7,5]=>[[1,4,5],[2,6,7],[3],[8]] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,8,1]=>[8,3,7,2,4,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]] [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]=>[[1,4,5],[2,6],[3],[7],[8]] [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]=>[[1,4,5],[2,6],[3],[7],[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]=>[[1,4],[2,5],[3],[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]=>[[1,4,7],[2,5],[3],[6],[8]] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,8,1]=>[8,3,7,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,8,1]=>[8,3,7,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,2,3,7,1]=>[8,3,7,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,8,1]=>[8,3,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[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]=>[[1,4,6],[2],[3],[5],[7],[8]] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,2,3,8,1]=>[8,3,7,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[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]=>[[1,4,5,6],[2],[3],[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]=>[[1,3,6,7],[2,5],[4],[8]] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,2,4,5,1]=>[8,4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4],[8]] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,4,5,1]=>[8,4,2,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,4,8,1]=>[8,4,2,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]] [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]=>[[1,3,4,7],[2,6],[5],[8]] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,6,1]=>[8,5,2,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5],[8]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,5,7,1]=>[8,5,2,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]] [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]=>[[1,3,4,6],[2,7],[5],[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]=>[[1,3,4,5],[2,7],[6],[8]] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,8,1]=>[8,6,2,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,2,7,8,1]=>[8,6,2,5,3,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,7,8,1]=>[8,6,2,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,2,7,8,1]=>[8,6,2,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,2,5,6,1]=>[8,5,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4],[5],[8]] [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]=>[[1,3,7],[2,6],[4],[5],[8]] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,2,5,8,1]=>[8,5,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,2,6,7,1]=>[8,6,4,2,3,7,1,5]=>[[1,3,5],[2,7],[4],[6],[8]] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,7,8,1]=>[8,6,4,2,3,5,7,1]=>[[1,3,5,7],[2],[4],[6],[8]] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,7,8,1]=>[8,6,5,3,2,4,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,8,1]=>[8,6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6],[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]=>[[1,3,7],[2,5],[4],[6],[8]] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,5,1]=>[8,3,4,5,1,2,6,7]=>[[1,2,5,6,7],[3,4],[8]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,3,4,5,1]=>[8,3,4,5,1,7,2,6]=>[[1,2,5,6],[3,4,7],[8]] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,5,1]=>[8,3,4,5,1,6,7,2]=>[[1,2,5,6,7],[3,4],[8]] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,8,1]=>[8,3,4,7,2,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,4,8,1]=>[8,3,4,7,6,2,5,1]=>[[1,4,5],[2,6],[3],[7],[8]] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,3,5,6,1]=>[8,3,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3],[8]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,7,1]=>[8,3,5,2,7,4,1,6]=>[[1,4,6],[2,5,7],[3],[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]=>[[1,4,6],[2,5,7],[3],[8]] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,6,8,1]=>[8,3,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3],[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]=>[[1,4,5,7],[2,6],[3],[8]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,6,7,1]=>[8,3,6,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6],[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]=>[[1,4,5,7],[2],[3],[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]=>[[1,3,6,7],[2,5],[4],[8]] [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]=>[[1,3,6],[2,5],[4],[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]=>[[1,3,5],[2,6,7],[4],[8]] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,5,6,8,1]=>[8,5,2,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,7,1]=>[8,5,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4],[5],[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]=>[[1,3,6,7],[2],[4],[5],[8]] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5],[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]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,5,6,1]=>[8,3,4,5,6,1,2,7]=>[[1,2,5,6,7],[3,4],[8]] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,5,6,1]=>[8,3,4,5,6,1,7,2]=>[[1,2,5,6,7],[3,4],[8]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,4,5,7,1]=>[8,3,4,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3],[8]] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,8,1]=>[8,3,4,5,7,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,6,7,8,1]=>[8,3,5,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,5,6,7,1]=>[8,4,2,5,6,7,1,3]=>[[1,3,6,7],[2,5],[4],[8]] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,4,5,6,8,1]=>[8,4,2,5,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,7,8,1]=>[8,4,2,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,8,1]=>[8,4,2,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,7,1]=>[8,3,4,5,6,7,1,2]=>[[1,2,5,6,7],[3,4],[8]] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,6,8,1]=>[8,3,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,8,1]=>[8,3,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,7,8,1]=>[8,3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[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]=>[[1,3,4,5,6,7],[2,8]] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,1,2]=>[2,8,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,1,2]=>[2,8,1,3,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,1,2]=>[2,8,1,3,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,1,2]=>[2,8,1,3,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,1,2]=>[2,8,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,1,2]=>[2,8,1,3,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,1,2]=>[2,8,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,1,2]=>[2,8,1,3,7,6,5,4]=>[[1,3,4],[2,5],[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]=>[[1,3,4,5],[2,6,7],[8]] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,1,2]=>[2,8,1,3,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]] [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]=>[[1,3,4,7],[2,5],[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]=>[[1,3,4,6,7],[2,5],[8]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,1,2]=>[2,8,1,5,3,4,6,7]=>[[1,3,4,6,7],[2,5],[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]=>[[1,3,4,6],[2,5,7],[8]] [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,1,2]=>[2,8,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,3,1,2]=>[2,8,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]] [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]=>[[1,3],[2,4],[5],[6],[7],[8]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,3,1,2]=>[2,8,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6],[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]=>[[1,3,4,7],[2,5,6],[8]] [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]=>[[1,3,6,7],[2,4],[5],[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]=>[[1,3,6,7],[2,4],[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]=>[[1,3,5,6,7],[2,4],[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]=>[[1,3,5,6,7],[2,4],[8]] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,1,2]=>[2,8,4,1,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]] [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,4,1,2]=>[2,8,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,1,2]=>[2,8,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,1,2]=>[2,8,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6],[8]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,1,2]=>[2,8,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,1,2]=>[2,8,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]] [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]=>[[1,3,5,6],[2,4],[7],[8]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,4,1,2]=>[2,8,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]] [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]=>[[1,3,5,7],[2,4],[6],[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]=>[[1,3,5,7],[2,4],[6],[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]=>[[1,3,5,6,7],[2,4],[8]] [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]=>[[1,3,4,6,7],[2],[5],[8]] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,1,2]=>[2,8,5,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5],[8]] [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,5,1,2]=>[2,8,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5],[8]] [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,5,1,2]=>[2,8,5,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,1,2]=>[2,8,6,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,1,2]=>[2,8,7,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,8,1,2]=>[2,8,7,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,6,1,2]=>[2,8,6,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6],[8]] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,8,1,2]=>[2,8,7,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[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]=>[[1,3,5],[2],[4],[6],[7],[8]] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,1,2]=>[2,8,7,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]] [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]=>[[1,3],[2],[4],[5],[6],[7],[8]] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,8,1,2]=>[2,8,7,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[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]=>[[1,3,6],[2],[4],[5],[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]=>[[1,3,6],[2],[4],[5],[7],[8]] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,8,1,2]=>[2,8,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,1,2]=>[2,8,4,5,1,3,6,7]=>[[1,3,5,6,7],[2,4],[8]] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,5,1,2]=>[2,8,4,5,1,7,3,6]=>[[1,3,5,6],[2,4,7],[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]=>[[1,3,5,6],[2,4],[7],[8]] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,1,2]=>[2,8,4,5,1,6,7,3]=>[[1,3,5,6,7],[2,4],[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]=>[[1,3,5,7],[2,6],[4],[8]] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,8,1,2]=>[2,8,4,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,8,1,2]=>[2,8,4,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[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]=>[[1,3,5],[2,6],[4],[7],[8]] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,8,1,2]=>[2,8,4,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,8,1,2]=>[2,8,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]] [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]=>[[1,3,4,7],[2,6],[5],[8]] [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]=>[[1,3,4,5],[2,7],[6],[8]] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,1,2]=>[2,8,6,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,8,1,2]=>[2,8,6,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,6,1,2]=>[2,8,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4],[8]] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,1,2]=>[2,8,4,5,6,1,7,3]=>[[1,3,5,6,7],[2,4],[8]] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,1,2]=>[2,8,4,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4],[8]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,7,1,2]=>[2,8,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,8,1,2]=>[2,8,4,6,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,7,1,2]=>[2,8,5,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5],[8]] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,8,1,2]=>[2,8,5,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5],[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]=>[[1,3,4,6,7],[2],[5],[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]=>[[1,3,6,7],[2],[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]=>[[1,3,5,6,7],[2,4],[8]] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,8,1,2]=>[2,8,4,5,6,7,3,1]=>[[1,3,5,6,7],[2],[4],[8]] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,1,2]=>[2,8,4,5,6,3,7,1]=>[[1,3,5,6,7],[2],[4],[8]] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,8,1,2]=>[2,8,4,5,3,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,1,2]=>[2,8,4,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>[2,8,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]] [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]=>[[1,2,4,5,6,7],[3,8]] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,1,3]=>[3,1,8,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,1,3]=>[3,1,8,2,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,1,3]=>[3,1,8,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,1,3]=>[3,1,8,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,1,3]=>[3,1,8,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,2,1,3]=>[3,1,8,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,1,3]=>[3,1,8,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,1,3]=>[3,1,8,2,7,6,5,4]=>[[1,2,4],[3,5],[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]=>[[1,2,4,5],[3,6,7],[8]] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,2,1,3]=>[3,1,8,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]] [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]=>[[1,2,4,7],[3,5],[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]=>[[1,2,4,6,7],[3,5],[8]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,1,3]=>[3,1,8,5,2,4,6,7]=>[[1,2,4,6,7],[3,5],[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]=>[[1,2,4,6],[3,5,7],[8]] [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]=>[[1,2,4],[3,5,6],[7],[8]] [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,2,1,3]=>[3,1,8,6,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]] [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]=>[[1,2,5],[3,4],[6],[7],[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]=>[[1,2],[3,4],[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]=>[[1,2,6],[3,4],[5],[7],[8]] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,2,1,3]=>[3,1,8,5,6,2,4,7]=>[[1,2,4,7],[3,5,6],[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]=>[[1,2,4,7],[3,5,6],[8]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,1,3]=>[3,1,8,5,7,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]] [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]=>[[1,2,6],[3,4,7],[5],[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]=>[[1,2,5],[3,4,7],[6],[8]] [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,2,1,3]=>[3,1,8,6,4,7,5,2]=>[[1,2,5],[3,4,7],[6],[8]] [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,2,1,3]=>[3,1,8,5,6,7,2,4]=>[[1,2,4,7],[3,5,6],[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]=>[[1,2,6,7],[3,4],[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]=>[[1,2,5,6,7],[3,4],[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]=>[[1,2,3,5,6,7],[4,8]] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,1,4]=>[4,1,2,8,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,1,4]=>[4,1,2,8,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,1,4]=>[4,1,2,8,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,1,4]=>[4,1,2,8,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,1,4]=>[4,1,2,8,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,1,4]=>[4,1,2,8,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,1,4]=>[4,1,2,8,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,2,1,4]=>[4,1,2,8,6,7,3,5]=>[[1,2,3,5],[4,6,7],[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]=>[[1,2,3,6,7],[4,5],[8]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,8,4,6,7]=>[[1,2,3,4,6,7],[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]=>[[1,2,3,4,6],[5,7],[8]] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,2,1,5]=>[5,1,2,3,8,7,4,6]=>[[1,2,3,4,6],[5,7],[8]] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,1,5]=>[5,1,2,3,8,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,1,5]=>[5,1,2,3,8,6,7,4]=>[[1,2,3,4,7],[5,6],[8]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,8,5,7]=>[[1,2,3,4,5,7],[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]=>[[1,2,3,4,5],[6,7],[8]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>[[1,2,3,4,5,6],[7,8]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,1,8]=>[7,1,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,1,8]=>[7,1,2,3,4,6,5,8]=>[[1,2,3,4,5,8],[6],[7]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,2,1,7]=>[7,1,2,3,6,4,8,5]=>[[1,2,3,4,5],[6,8],[7]] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,2,1,8]=>[7,1,2,3,6,4,5,8]=>[[1,2,3,4,5,8],[6],[7]] [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]=>[[1,2,3,4,8],[5],[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]=>[[1,2,3,4,6,8],[5],[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]=>[[1,2,3,4,7],[5,8],[6]] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,2,1,7]=>[7,1,2,5,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,1,8]=>[7,1,2,5,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,2,1,7]=>[7,1,2,6,4,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,2,1,8]=>[7,1,2,6,4,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]] [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]=>[[1,2,3,5,8],[4],[6],[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]=>[[1,2,3,8],[4],[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]=>[[1,2,3,4,8],[5,6],[7]] [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]=>[[1,2,3,6,8],[4],[5],[7]] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,1,8]=>[7,1,2,4,5,6,3,8]=>[[1,2,3,5,6,8],[4],[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]=>[[1,2,3,6,7],[4,8],[5]] [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]=>[[1,2,3,6],[4,7],[5,8]] [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]=>[[1,2,3,7],[4,6],[5,8]] [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]=>[[1,2,3,5,7],[4,8],[6]] [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]=>[[1,2,3,5,6],[4,8],[7]] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,2,1,8]=>[7,1,4,2,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]] [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]=>[[1,2,3,5],[4,6,8],[7]] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,1,8]=>[7,1,4,2,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]] [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]=>[[1,2,3,8],[4,5],[6],[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]=>[[1,2,3,6,8],[4,5],[7]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,1,6]=>[6,1,5,3,2,8,4,7]=>[[1,2,4,7],[3,8],[5],[6]] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,1,7]=>[7,1,5,3,2,4,8,6]=>[[1,2,4,6],[3,8],[5],[7]] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,1,8]=>[7,1,5,3,2,4,6,8]=>[[1,2,4,6,8],[3],[5],[7]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,1,7]=>[7,1,6,3,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,1,8]=>[7,1,6,3,4,2,5,8]=>[[1,2,4,5,8],[3],[6],[7]] [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,2,1,8]=>[7,1,6,3,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]] [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]=>[[1,2,4,8],[3],[5],[6],[7]] [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,1,8]=>[7,1,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]] [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,2,1,6]=>[6,1,4,5,2,8,3,7]=>[[1,2,3,7],[4,5,8],[6]] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,2,1,6]=>[6,1,4,5,2,8,7,3]=>[[1,2,3,7],[4,5],[6,8]] [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]=>[[1,2,3,6,8],[4,5],[7]] [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]=>[[1,2,5,8],[3],[4],[6],[7]] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,2,1,7]=>[7,1,5,3,6,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,2,1,8]=>[7,1,5,3,6,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,2,1,7]=>[7,1,4,5,6,2,8,3]=>[[1,2,3,6,8],[4,5],[7]] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,1,8]=>[7,1,3,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[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]=>[[1,2,5,6,7],[3,8],[4]] [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,1,4]=>[4,3,1,8,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]] [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]=>[[1,2,5,7],[3,6],[4,8]] [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,3,1,4]=>[4,3,1,8,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]] [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]=>[[1,2,5],[3,6,7],[4,8]] [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]=>[[1,2,6],[3,5],[4,7],[8]] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,1,4]=>[4,3,1,8,7,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,3,1,4]=>[4,3,1,8,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]] [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,1,4]=>[4,3,1,8,6,7,2,5]=>[[1,2,5],[3,6,7],[4,8]] [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]=>[[1,2,7],[3,5],[4,6],[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]=>[[1,2,7],[3,5],[4,6],[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]=>[[1,2,6,7],[3,5],[4,8]] [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]=>[[1,2,4,6,7],[3,8],[5]] [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]=>[[1,2,4,6],[3,7],[5,8]] [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]=>[[1,2,4,6],[3,7],[5,8]] [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]=>[[1,2,4,7],[3,6],[5,8]] [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]=>[[1,2,4,5,7],[3,8],[6]] [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]=>[[1,2,4,5,6],[3,8],[7]] [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]=>[[1,2,4,5,6,8],[3],[7]] [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]=>[[1,2,4,5,8],[3,6],[7]] [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]=>[[1,2,4,5],[3,6,8],[7]] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,3,1,8]=>[7,3,1,2,6,4,5,8]=>[[1,2,4,5,8],[3,6],[7]] [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]=>[[1,2,4,6,8],[3,5],[7]] [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,2,3,1,6]=>[6,3,1,5,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,3,1,7]=>[7,3,1,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]] [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]=>[[1,2,4,6,8],[3,5],[7]] [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]=>[[1,2,4,8],[3,5,6],[7]] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,1,8]=>[7,3,1,6,5,4,2,8]=>[[1,2,8],[3,4],[5],[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]=>[[1,2,4,8],[3,5,6],[7]] [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]=>[[1,2,4,8],[3,5,6],[7]] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,1,8]=>[7,3,1,5,6,4,2,8]=>[[1,2,6,8],[3,4],[5],[7]] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,1,8]=>[7,3,1,4,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,1,5]=>[5,4,2,1,8,3,6,7]=>[[1,3,6,7],[2,8],[4],[5]] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,2,4,1,5]=>[5,4,2,1,8,7,3,6]=>[[1,3,6],[2,7],[4,8],[5]] [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]=>[[1,3],[2,6],[4,7],[5,8]] [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]=>[[1,3,5,7],[2,8],[4],[6]] [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]=>[[1,3,5],[2,7],[4,8],[6]] [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,1,8]=>[7,4,2,1,6,5,3,8]=>[[1,3,8],[2,5],[4,6],[7]] [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]=>[[1,3,6,8],[2,5],[4],[7]] [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]=>[[1,3,4],[2,7],[5,8],[6]] [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,5,1,7]=>[7,5,2,3,1,4,8,6]=>[[1,3,4,6],[2,8],[5],[7]] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,5,1,8]=>[7,5,2,3,1,4,6,8]=>[[1,3,4,6,8],[2],[5],[7]] [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]=>[[1,3,4,5],[2,8],[6],[7]] [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]=>[[1,3,4,5,8],[2],[6],[7]] [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]=>[[1,3,4,5,8],[2],[6],[7]] [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,2,7,1,8]=>[7,6,2,3,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[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]=>[[1,3,4],[2,8],[5],[6],[7]] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,2,6,1,8]=>[7,6,2,5,3,1,4,8]=>[[1,3,4,8],[2],[5],[6],[7]] [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]=>[[1,3,8],[2],[4],[5],[6],[7]] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,2,5,1,8]=>[7,5,4,2,1,6,3,8]=>[[1,3,8],[2,6],[4],[5],[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]=>[[1,3,5,8],[2],[4],[6],[7]] [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]=>[[1,3,8],[2,5],[4],[6],[7]] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,2,6,1,7]=>[7,6,5,3,2,1,8,4]=>[[1,4],[2,8],[3],[5],[6],[7]] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,6,1,8]=>[7,6,5,3,2,1,4,8]=>[[1,4,8],[2],[3],[5],[6],[7]] [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,7,1,8]=>[7,6,5,3,2,4,1,8]=>[[1,4,8],[2],[3],[5],[6],[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]=>[[1,4,8],[2],[3],[5],[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]] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,6,1,7]=>[7,6,4,5,2,1,8,3]=>[[1,3,8],[2,5],[4],[6],[7]] [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,2,6,1,8]=>[7,6,4,5,2,1,3,8]=>[[1,3,8],[2,5],[4],[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]=>[[1,3,8],[2,5],[4],[6],[7]] [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,2,7,1,8]=>[7,6,4,5,3,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,2,7,1,8]=>[7,6,4,3,5,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,1,5]=>[5,3,4,1,8,2,6,7]=>[[1,2,6,7],[3,4,8],[5]] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,3,4,1,5]=>[5,3,4,1,8,2,7,6]=>[[1,2,6],[3,4,7],[5,8]] [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,3,4,1,6]=>[6,3,4,1,2,8,5,7]=>[[1,2,5,7],[3,4,8],[6]] [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]=>[[1,2,5],[3,4,7],[6,8]] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,4,1,7]=>[7,3,4,1,2,5,8,6]=>[[1,2,5,6],[3,4,8],[7]] [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]=>[[1,2,5,6,8],[3,4],[7]] [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]=>[[1,2,5,8],[3,4,6],[7]] [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]=>[[1,2,5,8],[3,4,6],[7]] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,4,1,8]=>[7,3,4,1,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]] [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]=>[[1,2,5,8],[3,4],[6],[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]=>[[1,2,5,6,8],[3,4],[7]] [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,3,5,1,6]=>[6,3,5,2,1,8,7,4]=>[[1,4,7],[2,5],[3,8],[6]] [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]=>[[1,4,6,8],[2,5],[3],[7]] [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,3,5,1,8]=>[7,3,5,2,1,6,4,8]=>[[1,4,6,8],[2,5],[3],[7]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,6,1,7]=>[7,3,6,5,2,1,8,4]=>[[1,4,8],[2,5],[3],[6],[7]] [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]=>[[1,4,8],[2,5],[3],[6],[7]] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,2,3,7,1,8]=>[7,3,6,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[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]=>[[1,3,7],[2,5,8],[4],[6]] [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]=>[[1,3,6],[2,5,8],[4],[7]] [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]=>[[1,3,6,8],[2,5],[4],[7]] [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]=>[[1,3,6,8],[2,5],[4],[7]] [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,7,1,8]=>[7,4,2,6,3,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,1,7]=>[7,5,4,2,6,1,8,3]=>[[1,3,8],[2,6],[4],[5],[7]] [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,7,1,8]=>[7,5,4,3,2,6,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,1,8]=>[7,5,3,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]] [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,5,1,6]=>[6,3,4,5,1,8,2,7]=>[[1,2,5,7],[3,4,8],[6]] [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]=>[[1,4,5,8],[2,6],[3],[7]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,5,6,1,7]=>[7,3,5,2,6,1,8,4]=>[[1,4,6,8],[2,5],[3],[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]=>[[1,4,6,8],[2,5],[3],[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]=>[[1,4,6,8],[2,5],[3],[7]] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,6,7,1,8]=>[7,3,5,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[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]=>[[1,3,6,8],[2,5],[4],[7]] [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,7,1,8]=>[7,4,2,5,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,1,8]=>[7,4,2,3,5,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,1,7]=>[7,3,4,5,6,1,8,2]=>[[1,2,5,6,8],[3,4],[7]] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[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]=>[[1,3,4,5,6,7],[2,8]] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,1,2,3]=>[2,3,8,1,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,1,2,3]=>[2,3,8,1,4,6,7,5]=>[[1,3,4,5,7],[2,6],[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]=>[[1,3,4,5],[2,6,7],[8]] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,1,2,3]=>[2,3,8,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,1,2,3]=>[2,3,8,1,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,1,2,3]=>[2,3,8,1,6,7,5,4]=>[[1,3,4,7],[2,5],[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]=>[[1,3,4,6,7],[2,5],[8]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,1,2,3]=>[2,3,8,5,1,4,6,7]=>[[1,3,4,6,7],[2,5],[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]=>[[1,3,4,6],[2,5,7],[8]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,1,2,3]=>[2,3,8,5,1,7,4,6]=>[[1,3,4,6],[2,5,7],[8]] [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,1,2,3]=>[2,3,8,5,1,6,7,4]=>[[1,3,4,6,7],[2,5],[8]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,1,2,3]=>[2,3,8,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]] [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]=>[[1,3,4,5],[2,7],[6],[8]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,1,2,3]=>[2,3,8,7,4,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,1,2,3]=>[2,3,8,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[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]=>[[1,3,4],[2],[5],[6],[7],[8]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,1,2,3]=>[2,3,8,5,6,1,4,7]=>[[1,3,4,6,7],[2,5],[8]] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,1,2,3]=>[2,3,8,5,6,1,7,4]=>[[1,3,4,6,7],[2,5],[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]=>[[1,3,4,6],[2],[5],[7],[8]] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,1,2,3]=>[2,3,8,6,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,1,2,3]=>[2,3,8,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,1,2,3]=>[2,3,8,5,6,7,1,4]=>[[1,3,4,6,7],[2,5],[8]] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,1,2,3]=>[2,3,8,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,1,2,3]=>[2,3,8,5,6,4,7,1]=>[[1,3,4,6,7],[2],[5],[8]] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,1,2,3]=>[2,3,8,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[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]=>[[1,3,4,5,6,7],[2],[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]=>[[1,3,5,6,7],[2,4,8]] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,1,2,4]=>[2,4,1,8,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]] [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]=>[[1,3,5,6],[2,4,7],[8]] [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]=>[[1,3,5,7],[2,4,6],[8]] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,1,2,4]=>[2,4,1,8,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,1,2,4]=>[2,4,1,8,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,1,2,4]=>[2,4,1,8,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,1,2,4]=>[2,4,1,8,6,7,5,3]=>[[1,3,5,7],[2,4],[6],[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]=>[[1,3,5,6,7],[2,4],[8]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,1,2,5]=>[2,5,1,3,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]] [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,1,2,5]=>[2,5,1,3,8,4,7,6]=>[[1,3,4,6],[2,5,7],[8]] [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,1,2,5]=>[2,5,1,3,8,7,4,6]=>[[1,3,4,6],[2,5,7],[8]] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,1,2,5]=>[2,5,1,3,8,6,7,4]=>[[1,3,4,7],[2,5,6],[8]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,1,2,6]=>[2,6,1,3,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,1,2,7]=>[2,7,1,3,4,5,8,6]=>[[1,3,4,5,6],[2,7,8]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,1,2,8]=>[2,7,1,3,4,5,6,8]=>[[1,3,4,5,6,8],[2,7]] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,1,2,8]=>[2,7,1,3,6,4,5,8]=>[[1,3,4,5,8],[2,6],[7]] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,1,2,8]=>[2,7,1,3,6,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]] [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]=>[[1,3,4,6,8],[2,5],[7]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,1,2,7]=>[2,7,1,5,3,4,8,6]=>[[1,3,4,6],[2,5,8],[7]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,1,2,5]=>[2,5,4,1,8,3,6,7]=>[[1,3,6,7],[2,4,8],[5]] [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]=>[[1,3,6],[2,4,7],[5,8]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,1,2,5]=>[2,5,4,1,8,7,3,6]=>[[1,3,6],[2,4,7],[5,8]] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,1,2,5]=>[2,5,4,1,8,7,6,3]=>[[1,3,6],[2,4],[5,7],[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]=>[[1,3,6,7],[2,4],[5,8]] [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]=>[[1,3,5,7],[2,4,8],[6]] [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]=>[[1,3,5],[2,4,7],[6,8]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,1,2,7]=>[2,7,4,1,3,5,8,6]=>[[1,3,5,6],[2,4,8],[7]] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,1,2,8]=>[2,7,4,1,3,6,5,8]=>[[1,3,5,8],[2,4,6],[7]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,1,2,7]=>[2,7,4,1,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]] [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]=>[[1,3,5,8],[2,4],[6],[7]] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,1,2,6]=>[2,6,5,3,1,8,7,4]=>[[1,3,4],[2,7],[5,8],[6]] [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]=>[[1,3,4,6],[2,8],[5],[7]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,1,2,7]=>[2,7,6,3,4,1,8,5]=>[[1,3,4,5],[2,8],[6],[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]=>[[1,3,4,8],[2],[5],[6],[7]] [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,1,2,8]=>[2,7,6,5,4,3,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,1,2,6]=>[2,6,4,5,1,8,7,3]=>[[1,3,5,7],[2,4],[6,8]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,1,2,7]=>[2,7,4,5,1,3,8,6]=>[[1,3,5,6],[2,4,8],[7]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,1,2,7]=>[2,7,4,6,3,1,8,5]=>[[1,3,5,8],[2,6],[4],[7]] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,1,2,8]=>[2,7,4,6,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]] [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]=>[[1,3,4,8],[2,6],[5],[7]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,1,2,7]=>[2,7,4,5,6,1,8,3]=>[[1,3,5,6,8],[2,4],[7]] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,1,2,8]=>[2,7,4,5,6,3,1,8]=>[[1,3,5,6,8],[2],[4],[7]] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>[2,7,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[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]=>[[1,2,5,6,7],[3,4,8]] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,2,1,3,4]=>[3,1,4,8,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]] [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,1,3,4]=>[3,1,4,8,2,7,5,6]=>[[1,2,5,6],[3,4,7],[8]] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,1,3,4]=>[3,1,4,8,2,6,7,5]=>[[1,2,5,7],[3,4,6],[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]=>[[1,2,5,7],[3,4,6],[8]] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,1,3,4]=>[3,1,4,8,6,2,7,5]=>[[1,2,5,7],[3,4,6],[8]] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,1,3,4]=>[3,1,4,8,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,1,3,4]=>[3,1,4,8,6,7,2,5]=>[[1,2,5,7],[3,4,6],[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]=>[[1,2,5,7],[3,4],[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]=>[[1,2,5,6,7],[3,4],[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]=>[[1,2,4,6,7],[3,5,8]] [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,1,3,5]=>[3,1,5,2,8,4,7,6]=>[[1,2,4,6],[3,5,7],[8]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,1,3,5]=>[3,1,5,2,8,7,4,6]=>[[1,2,4,6],[3,5,7],[8]] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,1,3,5]=>[3,1,5,2,8,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,1,3,5]=>[3,1,5,2,8,6,7,4]=>[[1,2,4,7],[3,5,6],[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]=>[[1,2,4,5,7],[3,6,8]] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,1,3,6]=>[3,1,6,2,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,1,3,7]=>[3,1,7,2,4,5,8,6]=>[[1,2,4,5,6],[3,7,8]] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,1,3,8]=>[3,1,7,2,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,1,3,7]=>[3,1,7,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]] [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]=>[[1,2,4,6,8],[3,5],[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]=>[[1,2,4],[3,5,7],[6,8]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,1,3,7]=>[3,1,7,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]] [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,1,3,8]=>[3,1,7,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,2,1,3,7]=>[3,1,7,6,4,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]] [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]=>[[1,2,8],[3,4],[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]=>[[1,2,4,8],[3,5,6],[7]] [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]=>[[1,2,3,6,7],[4,5,8]] [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]=>[[1,2,3,6],[4,5,7],[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]=>[[1,2,3,6],[4,5,7],[8]] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,1,4,5]=>[4,1,2,5,8,6,7,3]=>[[1,2,3,6,7],[4,5],[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]=>[[1,2,3,5,7],[4,6,8]] [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]=>[[1,2,3,5],[4,6,7],[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]=>[[1,2,3,5,6],[4,7,8]] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,1,4,8]=>[4,1,2,7,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]] [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]=>[[1,2,3,5],[4,6,8],[7]] [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]=>[[1,2,3,6,8],[4,5],[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]=>[[1,2,3,4,7],[5,6,8]] [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]=>[[1,2,3,4,7],[5,6],[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]=>[[1,2,3,4,6],[5,7,8]] [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]=>[[1,2,3,4,8],[5,6],[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]=>[[1,2,3,4,5,8],[6,7]] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,1,6,8]=>[6,1,2,3,4,7,5,8]=>[[1,2,3,4,5,8],[6,7]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,1,7,8]=>[6,1,2,3,4,5,7,8]=>[[1,2,3,4,5,7,8],[6]] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,2,1,7,8]=>[6,1,2,3,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,2,1,6,7]=>[6,1,2,5,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]] [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,2,1,7,8]=>[6,1,2,5,3,4,7,8]=>[[1,2,3,4,7,8],[5],[6]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,2,1,5,6]=>[5,1,4,2,6,8,3,7]=>[[1,2,3,7],[4,6,8],[5]] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,1,5,6]=>[5,1,4,2,6,8,7,3]=>[[1,2,3,7],[4,6],[5,8]] [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]=>[[1,2,3,6],[4,7,8],[5]] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,2,1,5,8]=>[5,1,4,2,7,3,6,8]=>[[1,2,3,6,8],[4,7],[5]] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,1,7,8]=>[6,1,4,2,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,1,6,7]=>[6,1,4,5,2,7,8,3]=>[[1,2,3,7,8],[4,5],[6]] [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,2,1,6,8]=>[6,1,4,5,2,7,3,8]=>[[1,2,3,7,8],[4,5],[6]] [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,2,1,7,8]=>[6,1,4,5,3,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,1,7,8]=>[6,1,3,4,5,2,7,8]=>[[1,2,4,5,7,8],[3],[6]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,1,4,5]=>[4,3,1,5,8,2,6,7]=>[[1,2,6,7],[3,5,8],[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]=>[[1,2,6],[3,5,7],[4,8]] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,2,3,1,4,5]=>[4,3,1,5,8,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,1,4,5]=>[4,3,1,5,8,6,7,2]=>[[1,2,6,7],[3,5],[4,8]] [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]=>[[1,2,5,7],[3,6,8],[4]] [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]=>[[1,2,5,6],[3,7,8],[4]] [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]=>[[1,2,5],[3,6,8],[4,7]] [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]=>[[1,2,5,8],[3,6],[4,7]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,1,5,7]=>[5,3,1,2,7,4,8,6]=>[[1,2,4,6],[3,7,8],[5]] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,1,5,8]=>[5,3,1,2,7,4,6,8]=>[[1,2,4,6,8],[3,7],[5]] [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]=>[[1,2,4,5,8],[3,7],[6]] [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]=>[[1,2,4,5,8],[3,7],[6]] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,1,7,8]=>[6,3,1,2,4,5,7,8]=>[[1,2,4,5,7,8],[3],[6]] [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]=>[[1,2,4,8],[3,5,7],[6]] [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]=>[[1,2,7,8],[3,4],[5],[6]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,4,1,5,6]=>[5,4,2,1,6,8,3,7]=>[[1,3,7],[2,6,8],[4],[5]] [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]=>[[1,3,7],[2,6],[4,8],[5]] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,1,5,8]=>[5,4,2,1,7,6,3,8]=>[[1,3,8],[2,6],[4,7],[5]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,4,1,6,7]=>[6,4,2,1,3,7,8,5]=>[[1,3,5,8],[2,7],[4],[6]] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,1,7,8]=>[6,4,2,1,3,5,7,8]=>[[1,3,5,7,8],[2],[4],[6]] [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]=>[[1,3,7,8],[2,5],[4],[6]] [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]=>[[1,3,4,7,8],[2],[5],[6]] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[6,3,4,2,5,1,7,8]=>[6,5,4,2,1,3,7,8]=>[[1,3,7,8],[2],[4],[5],[6]] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,1,5,6]=>[5,3,4,1,6,8,2,7]=>[[1,2,6,7],[3,4,8],[5]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,4,1,5,7]=>[5,3,4,1,7,2,8,6]=>[[1,2,6,8],[3,4,7],[5]] [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]=>[[1,2,5,8],[3,4,7],[6]] [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]=>[[1,2,5,7,8],[3,4],[6]] [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]=>[[1,4,7,8],[2,5],[3],[6]] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,3,5,1,7,8]=>[6,3,5,2,1,4,7,8]=>[[1,4,7,8],[2,5],[3],[6]] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,6,1,7,8]=>[6,3,5,2,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]] [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,4,5,1,6,8]=>[6,4,2,5,1,7,3,8]=>[[1,3,7,8],[2,5],[4],[6]] [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]=>[[1,3,7,8],[2,5],[4],[6]] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,1,6,7]=>[6,3,4,5,1,7,8,2]=>[[1,2,5,7,8],[3,4],[6]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[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]=>[[1,3,4,5,6,7],[2,8]] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,1,2,3,4]=>[2,3,4,8,1,5,7,6]=>[[1,3,4,5,6],[2,7],[8]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,1,2,3,4]=>[2,3,4,8,1,7,5,6]=>[[1,3,4,5,6],[2,7],[8]] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,1,2,3,4]=>[2,3,4,8,1,7,6,5]=>[[1,3,4,5],[2,6],[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]=>[[1,3,4,5,7],[2,6],[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]=>[[1,3,4,5,7],[2,6],[8]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,1,2,3,4]=>[2,3,4,8,6,1,7,5]=>[[1,3,4,5,7],[2,6],[8]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,1,2,3,4]=>[2,3,4,8,7,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,1,2,3,4]=>[2,3,4,8,7,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,1,2,3,4]=>[2,3,4,8,7,6,5,1]=>[[1,3,4,5],[2],[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]=>[[1,3,4,5,7],[2,6],[8]] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,1,2,3,4]=>[2,3,4,8,6,7,5,1]=>[[1,3,4,5,7],[2],[6],[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]=>[[1,3,4,5,7],[2],[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]=>[[1,3,4,5,6,7],[2],[8]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,1,2,3,5]=>[2,3,5,1,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]] [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]=>[[1,3,4,6],[2,5,7],[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]=>[[1,3,4,6],[2,5,7],[8]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,1,2,3,6]=>[2,3,6,1,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]] [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]=>[[1,3,4,5],[2,6,7],[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]=>[[1,3,4,5,6],[2,7,8]] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,1,2,3,8]=>[2,3,7,1,4,5,6,8]=>[[1,3,4,5,6,8],[2,7]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,1,2,3,7]=>[2,3,7,1,6,4,8,5]=>[[1,3,4,5],[2,6,8],[7]] [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]=>[[1,3,4,8],[2,5],[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]=>[[1,3,4,6,8],[2,5],[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]=>[[1,3,4,7],[2,5,8],[6]] [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]=>[[1,3,4,7],[2,5],[6,8]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,1,2,3,7]=>[2,3,7,5,1,4,8,6]=>[[1,3,4,6],[2,5,8],[7]] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,1,2,3,8]=>[2,3,7,6,5,4,1,8]=>[[1,3,4,8],[2],[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]=>[[1,3,4,6,8],[2,5],[7]] [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]=>[[1,3,4,6,8],[2],[5],[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]=>[[1,3,4,6,8],[2],[5],[7]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,1,2,4,5]=>[2,4,1,5,8,3,6,7]=>[[1,3,5,6,7],[2,4,8]] [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]=>[[1,3,5,6],[2,4,7],[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]=>[[1,3,5,6],[2,4,7],[8]] [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,1,2,4,5]=>[2,4,1,5,8,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,1,2,4,6]=>[2,4,1,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]] [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]=>[[1,3,5,6],[2,4,7,8]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,1,2,4,7]=>[2,4,1,7,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]] [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]=>[[1,3,5,6,8],[2,4],[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]=>[[1,3,4,7],[2,5,6,8]] [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]=>[[1,3,4,7],[2,5,6],[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]=>[[1,3,4,6],[2,5,7,8]] [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,1,2,5,8]=>[2,5,1,3,7,6,4,8]=>[[1,3,4,8],[2,5,6],[7]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,1,2,6,7]=>[2,6,1,3,4,7,8,5]=>[[1,3,4,5,8],[2,6,7]] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,1,2,6,8]=>[2,6,1,3,4,7,5,8]=>[[1,3,4,5,8],[2,6,7]] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,1,2,7,8]=>[2,6,1,3,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]] [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]=>[[1,3,4,7,8],[2,5],[6]] [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,1,2,6,8]=>[2,6,1,5,3,7,4,8]=>[[1,3,4,8],[2,5,7],[6]] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,1,2,7,8]=>[2,6,1,5,3,4,7,8]=>[[1,3,4,7,8],[2,5],[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]=>[[1,3,7,8],[2,4],[5],[6]] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,1,2,7,8]=>[2,6,1,4,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,1,2,5,6]=>[2,5,4,1,6,8,3,7]=>[[1,3,6,7],[2,4,8],[5]] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,1,2,5,7]=>[2,5,4,1,7,3,8,6]=>[[1,3,6,8],[2,4,7],[5]] [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]=>[[1,3,5,8],[2,4,7],[6]] [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]=>[[1,3,5,8],[2,4,7],[6]] [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,1,2,7,8]=>[2,6,4,1,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]] [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]=>[[1,3,5,7,8],[2,4],[6]] [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]=>[[1,3,4,7,8],[2],[5],[6]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,1,2,6,7]=>[2,6,4,5,1,7,8,3]=>[[1,3,5,7,8],[2,4],[6]] [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,1,2,7,8]=>[2,6,4,5,1,3,7,8]=>[[1,3,5,7,8],[2,4],[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]=>[[1,3,5,7,8],[2],[4],[6]] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>[2,6,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,1,3,4,5]=>[3,1,4,5,8,2,6,7]=>[[1,2,5,6,7],[3,4,8]] [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,1,3,4,5]=>[3,1,4,5,8,7,2,6]=>[[1,2,5,6],[3,4,7],[8]] [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]=>[[1,2,5,7],[3,4,6,8]] [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]=>[[1,2,5,7],[3,4,6],[8]] [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,1,3,4,7]=>[3,1,4,7,2,5,8,6]=>[[1,2,5,6],[3,4,7,8]] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,1,3,4,7]=>[3,1,4,7,6,2,8,5]=>[[1,2,5,8],[3,4,6],[7]] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,1,3,4,8]=>[3,1,4,7,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]] [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]=>[[1,2,5,6,8],[3,4],[7]] [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[8,7,4,2,1,3,5,6]=>[3,1,5,2,6,8,4,7]=>[[1,2,4,7],[3,5,6,8]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,1,3,5,7]=>[3,1,5,2,7,4,8,6]=>[[1,2,4,6],[3,5,7,8]] [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]=>[[1,2,4,6,8],[3,5,7]] [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]=>[[1,2,4,5,8],[3,6,7]] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,1,3,7,8]=>[3,1,6,2,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]] [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,1,3,6,7]=>[3,1,6,5,2,7,8,4]=>[[1,2,4,8],[3,5,7],[6]] [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]=>[[1,2,7,8],[3,4],[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]=>[[1,2,3,6,7],[4,5,8]] [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]=>[[1,2,3,6,7],[4,5],[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]=>[[1,2,3,6,8],[4,5,7]] [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]=>[[1,2,3,6,8],[4,5,7]] [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]=>[[1,2,3,6,8],[4,5],[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]=>[[1,2,3,5,8],[4,6,7]] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,1,4,6,8]=>[4,1,2,6,3,7,5,8]=>[[1,2,3,5,8],[4,6,7]] [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]=>[[1,2,3,7,8],[4,5],[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]=>[[1,2,3,4,7,8],[5,6]] [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]=>[[1,2,3,4,7,8],[5,6]] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,1,5,7,8]=>[5,1,2,3,6,4,7,8]=>[[1,2,3,4,7,8],[5,6]] [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]=>[[1,2,3,4,6,7,8],[5]] [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]=>[[1,2,3,6,7,8],[4],[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]=>[[1,2,3,7,8],[4,6],[5]] [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]=>[[1,2,3,6,7,8],[4],[5]] [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]=>[[1,2,6,7,8],[3],[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]=>[[1,2,4,6,7,8],[3],[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]=>[[1,2,6,7],[3,5],[4,8]] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,1,4,5,7]=>[4,3,1,5,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]] [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]=>[[1,2,4,7,8],[3,6],[5]] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,1,6,7,8]=>[5,3,1,2,4,6,7,8]=>[[1,2,4,6,7,8],[3],[5]] [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]=>[[1,2,6,7,8],[3,4],[5]] [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]=>[[1,3,7,8],[2,6],[4],[5]] [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]=>[[1,3,7,8],[2,6],[4],[5]] [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]=>[[1,3,6,7,8],[2],[4],[5]] [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]=>[[1,3,6,7,8],[2],[4],[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]=>[[1,2,6,7,8],[3,4],[5]] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,1,5,7,8]=>[5,3,4,1,6,2,7,8]=>[[1,2,6,7,8],[3,4],[5]] [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]=>[[1,4,6,7,8],[2],[3],[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]=>[[1,3,4,5,6,7],[2,8]] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,1,2,3,4,5]=>[2,3,4,5,8,1,7,6]=>[[1,3,4,5,6],[2,7],[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]=>[[1,3,4,5,6],[2,7],[8]] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,1,2,3,4,5]=>[2,3,4,5,8,7,6,1]=>[[1,3,4,5,6],[2],[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]=>[[1,3,4,5,6,7],[2],[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]=>[[1,3,4,5,7],[2,6,8]] [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]=>[[1,3,4,5,7],[2,6],[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]=>[[1,3,4,5,6],[2,7,8]] [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]=>[[1,3,4,5,6,8],[2,7]] [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]=>[[1,3,4,5,8],[2,6],[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]=>[[1,3,4,5,8],[2,6],[7]] [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]=>[[1,3,4,5,8],[2,6],[7]] [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]=>[[1,3,4,5,8],[2],[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]=>[[1,3,4,5,6,8],[2],[7]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[8,7,4,1,2,3,5,6]=>[2,3,5,1,6,8,4,7]=>[[1,3,4,6,7],[2,5,8]] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,1,2,3,5,7]=>[2,3,5,1,7,4,8,6]=>[[1,3,4,6,8],[2,5,7]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,1,2,3,6,7]=>[2,3,6,1,4,7,8,5]=>[[1,3,4,5,8],[2,6,7]] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,1,2,3,7,8]=>[2,3,6,1,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,1,2,3,7,8]=>[2,3,6,1,5,4,7,8]=>[[1,3,4,7,8],[2,5],[6]] [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]=>[[1,3,4,7,8],[2,5],[6]] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,1,2,3,7,8]=>[2,3,6,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,1,2,3,7,8]=>[2,3,6,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]] [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]=>[[1,3,5,7,8],[2,4,6]] [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]=>[[1,3,5,7,8],[2,4,6]] [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,1,2,4,7,8]=>[2,4,1,6,3,5,7,8]=>[[1,3,5,7,8],[2,4,6]] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,1,2,4,7,8]=>[2,4,1,6,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]] [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]=>[[1,3,4,7,8],[2,5,6]] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,1,2,5,7,8]=>[2,5,1,3,6,4,7,8]=>[[1,3,4,7,8],[2,5,6]] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,1,2,6,7,8]=>[2,5,1,3,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]] [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]=>[[1,3,6,7,8],[2,4],[5]] [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]=>[[1,3,6,7,8],[2,4],[5]] [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[6,3,4,1,2,5,7,8]=>[2,5,4,1,6,3,7,8]=>[[1,3,6,7,8],[2,4],[5]] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,1,2,6,7,8]=>[2,5,4,1,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,1,2,6,7,8]=>[2,5,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]] [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]=>[[1,3,4,6,7,8],[2],[5]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,1,3,4,5,6]=>[3,1,4,5,6,8,2,7]=>[[1,2,5,6,7],[3,4,8]] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,1,3,4,5,6]=>[3,1,4,5,6,8,7,2]=>[[1,2,5,6,7],[3,4],[8]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,1,3,4,6,7]=>[3,1,4,6,2,7,8,5]=>[[1,2,5,7,8],[3,4,6]] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,1,3,4,7,8]=>[3,1,4,6,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]] [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]=>[[1,2,4,7,8],[3,5,6]] [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]=>[[1,2,3,6,7,8],[4,5]] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,1,4,5,6,8]=>[4,1,2,5,6,7,3,8]=>[[1,2,3,6,7,8],[4,5]] [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]=>[[1,2,3,6,7,8],[4,5]] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,1,4,6,7,8]=>[4,1,2,5,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]] [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]=>[[1,2,3,5,6,7,8],[4]] [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]=>[[1,2,5,6,7,8],[3],[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]=>[[1,2,6,7,8],[3,5],[4]] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,1,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]] [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]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[8,7,1,2,3,4,5,6]=>[2,3,4,5,6,8,1,7]=>[[1,3,4,5,6,7],[2,8]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>[2,3,4,5,6,8,7,1]=>[[1,3,4,5,6,7],[2],[8]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[8,6,1,2,3,4,5,7]=>[2,3,4,5,7,1,8,6]=>[[1,3,4,5,6,8],[2,7]] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[7,6,1,2,3,4,5,8]=>[2,3,4,5,7,1,6,8]=>[[1,3,4,5,6,8],[2,7]] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,7,1,2,3,4,5,8]=>[2,3,4,5,7,6,1,8]=>[[1,3,4,5,6,8],[2],[7]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[8,5,1,2,3,4,6,7]=>[2,3,4,6,1,7,8,5]=>[[1,3,4,5,7,8],[2,6]] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,1,2,3,4,7,8]=>[2,3,4,6,1,5,7,8]=>[[1,3,4,5,7,8],[2,6]] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[5,6,1,2,3,4,7,8]=>[2,3,4,6,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]] [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]=>[[1,3,4,6,7,8],[2,5]] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[5,4,1,2,3,6,7,8]=>[2,3,5,1,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]] [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]=>[[1,3,4,6,7,8],[2],[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]=>[[1,3,5,6,7,8],[2,4]] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,3,1,2,4,5,6,8]=>[2,4,1,5,6,7,3,8]=>[[1,3,5,6,7,8],[2,4]] [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]=>[[1,3,5,6,7,8],[2,4]] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[5,3,1,2,4,6,7,8]=>[2,4,1,5,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[4,3,1,2,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]] [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]=>[[1,3,5,6,7,8],[2],[4]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[8,2,1,3,4,5,6,7]=>[3,1,4,5,6,7,8,2]=>[[1,2,5,6,7,8],[3,4]] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,2,1,3,4,5,6,8]=>[3,1,4,5,6,7,2,8]=>[[1,2,5,6,7,8],[3,4]] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[5,2,1,3,4,6,7,8]=>[3,1,4,5,2,6,7,8]=>[[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]=>[[1,2,5,6,7,8],[3,4]] [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]=>[[1,2,4,5,6,7,8],[3]] [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]=>[[1,3,4,5,6,7,8],[2]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,8],[2]] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]=>[[1,3,4,5,6,7,8],[2]] [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]=>[[1,3,4,5,6,7,8],[2]] [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]=>[[1,3,4,5,6,7,8],[2]] [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]=>[[1,3,4,5,6,7,8],[2]] [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]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9,10],[2]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[9,2,1,3,4,5,6,7,8]=>[3,1,4,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3],[9]] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[1,3,4,5,6,7,8,9,10,11],[2]] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,1,3,4,5,6,7,8,9]=>[3,1,4,5,6,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[9,3,1,2,4,5,6,7,8]=>[2,4,1,5,6,7,8,9,3]=>[[1,3,5,6,7,8,9],[2,4]] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,1,4,5,6,7,8]=>[4,3,1,5,6,7,8,9,2]=>[[1,2,6,7,8,9],[3,5],[4]] [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[4,2,3,5,6,7,8,9,1]=>[9,3,4,2,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3],[9]] [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[[1,5,6,7,8],[2],[3],[4],[9]] [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3],[10]] [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9,10],[2],[11]] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[1,3,4,5,6,7,8,9,10,11,12],[2]] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[10,3,1,2,4,5,6,7,8,9]=>[2,4,1,5,6,7,8,9,10,3]=>[[1,3,5,6,7,8,9,10],[2,4]] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,1,4,5,6,7,8,9]=>[4,3,1,5,6,7,8,9,10,2]=>[[1,2,6,7,8,9,10],[3,5],[4]] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[9,4,1,2,3,5,6,7,8]=>[2,3,5,1,6,7,8,9,4]=>[[1,3,4,6,7,8,9],[2,5]] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[9,3,2,1,4,5,6,7,8]=>[4,1,2,5,6,7,8,9,3]=>[[1,2,3,6,7,8,9],[4,5]] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,1,5,6,7,8]=>[5,3,4,1,6,7,8,9,2]=>[[1,2,6,7,8,9],[3,4],[5]] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[11,3,1,2,4,5,6,7,8,9,10]=>[2,4,1,5,6,7,8,9,10,11,3]=>[[1,3,5,6,7,8,9,10,11],[2,4]] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>[10,4,1,2,3,5,6,7,8,9]=>[2,3,5,1,6,7,8,9,10,4]=>[[1,3,4,6,7,8,9,10],[2,5]] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[10,3,2,1,4,5,6,7,8,9]=>[4,1,2,5,6,7,8,9,10,3]=>[[1,2,3,6,7,8,9,10],[4,5]] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,1,5,6,7,8,9]=>[5,3,4,1,6,7,8,9,10,2]=>[[1,2,6,7,8,9,10],[3,4],[5]] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,1,6,7,8]=>[6,3,4,5,1,7,8,9,2]=>[[1,2,5,7,8,9],[3,4],[6]] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,1,6,7,8,9]=>[6,3,4,5,1,7,8,9,10,2]=>[[1,2,5,7,8,9,10],[3,4],[6]] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[9,6,1,2,3,4,5,7,8]=>[2,3,4,5,7,1,8,9,6]=>[[1,3,4,5,6,8,9],[2,7]] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[9,4,3,1,2,5,6,7,8]=>[2,5,1,3,6,7,8,9,4]=>[[1,3,4,7,8,9],[2,5,6]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,1,7,8]=>[7,3,4,5,6,1,8,9,2]=>[[1,2,5,6,8,9],[3,4],[7]] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[10,6,1,2,3,4,5,7,8,9]=>[2,3,4,5,7,1,8,9,10,6]=>[[1,3,4,5,6,8,9,10],[2,7]] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,1,7,8,9]=>[7,3,4,5,6,1,8,9,10,2]=>[[1,2,5,6,8,9,10],[3,4],[7]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[9,7,1,2,3,4,5,6,8]=>[2,3,4,5,6,8,1,9,7]=>[[1,3,4,5,6,7,9],[2,8]] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[9,4,3,2,1,5,6,7,8]=>[5,1,2,3,6,7,8,9,4]=>[[1,2,3,4,7,8,9],[5,6]] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,7,1,8]=>[8,3,4,5,6,7,1,9,2]=>[[1,2,5,6,7,9],[3,4],[8]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,9,8,1]=>[[1,3,4,5,6,7,8],[2],[9]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[8,2,3,4,5,6,7,9,1]=>[9,3,4,5,6,7,8,2,1]=>[[1,4,5,6,7,8],[2],[3],[9]] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>[2,9,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[10,7,1,2,3,4,5,6,8,9]=>[2,3,4,5,6,8,1,9,10,7]=>[[1,3,4,5,6,7,9,10],[2,8]] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[10,4,3,2,1,5,6,7,8,9]=>[5,1,2,3,6,7,8,9,10,4]=>[[1,2,3,4,7,8,9,10],[5,6]] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,7,1,8,9]=>[8,3,4,5,6,7,1,9,10,2]=>[[1,2,5,6,7,9,10],[3,4],[8]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,9,1,8]=>[[1,3,4,5,6,7,8],[2,9]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,7,8,1]=>[9,3,4,5,6,7,8,1,2]=>[[1,2,5,6,7,8],[3,4],[9]] [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,5,6,7,8,9,1,2]=>[2,9,4,3,5,6,7,8,1]=>[[1,3,5,6,7,8],[2],[4],[9]] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,2,1]=>[9,1,3,4,5,6,7,8,2]=>[[1,2,4,5,6,7,8],[3],[9]] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,7,8,1,9]=>[9,3,4,5,6,7,8,1,10,2]=>[[1,2,5,6,7,8,10],[3,4],[9]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,10,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>[9,8,2,1,3,4,5,6,7]=>[3,1,4,5,6,7,9,2,8]=>[[1,2,5,6,7,8],[3,4,9]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[9,2,3,4,5,6,7,8,10,1]=>[10,3,4,5,6,7,8,9,2,1]=>[[1,4,5,6,7,8,9],[2],[3],[10]] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>[2,10,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,10,1,9]=>[[1,3,4,5,6,7,8,9],[2,10]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,7,8,9,1]=>[10,3,4,5,6,7,8,9,1,2]=>[[1,2,5,6,7,8,9],[3,4],[10]] [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,2,1]=>[10,1,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3],[10]] []=>[]=>[]=>[] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,1,9]=>[8,1,2,3,4,5,6,7,9]=>[[1,2,3,4,5,6,7,9],[8]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,8,6,5,4,3,2,1,9]=>[8,1,2,3,4,5,7,6,9]=>[[1,2,3,4,5,6,9],[7],[8]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[7,6,8,5,4,3,2,1,9]=>[8,1,2,3,4,7,6,5,9]=>[[1,2,3,4,5,9],[6],[7],[8]] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,3,2,1,9]=>[8,1,2,5,3,4,6,7,9]=>[[1,2,3,4,6,7,9],[5],[8]] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[8,7,5,4,6,3,2,1,9]=>[8,1,2,6,4,3,5,7,9]=>[[1,2,3,5,7,9],[4],[6],[8]] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,3,1,9]=>[8,3,1,2,4,5,6,7,9]=>[[1,2,4,5,6,7,9],[3],[8]] [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[[1,3,4,5,6,7,9],[2],[8]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,1,2,9]=>[2,8,1,3,4,5,6,7,9]=>[[1,3,4,5,6,7,9],[2,8]] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[7,8,5,6,3,4,1,2,9]=>[2,8,4,1,6,3,7,5,9]=>[[1,3,5,7,9],[2,4,6],[8]] [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2,9]=>[2,8,3,4,5,6,7,1,9]=>[[1,3,4,5,6,7,9],[2],[8]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,6,5,4,3,2,1,7,9]=>[7,1,2,3,4,5,8,6,9]=>[[1,2,3,4,5,6,9],[7,8]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,2,1,8,9]=>[7,1,2,3,4,5,6,8,9]=>[[1,2,3,4,5,6,8,9],[7]] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[[1,3,4,5,6,8,9],[2],[7]] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[7,5,4,3,2,1,6,8,9]=>[6,1,2,3,4,7,5,8,9]=>[[1,2,3,4,5,8,9],[6,7]] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,2,1,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[[1,2,3,4,5,7,8,9],[6]] [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[4,3,5,2,6,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[[1,3,4,5,7,8,9],[2],[6]] [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9]=>[2,3,4,8,5,6,7,1,9]=>[[1,3,4,5,6,7,9],[2],[8]] [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[5,6,3,4,1,2,7,8,9]=>[2,6,4,1,5,3,7,8,9]=>[[1,3,5,7,8,9],[2,4],[6]] [1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[6,4,3,2,1,5,7,8,9]=>[5,1,2,3,6,4,7,8,9]=>[[1,2,3,4,7,8,9],[5,6]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[[1,2,3,4,6,7,8,9],[5]] [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[[1,3,4,6,7,8,9],[2],[5]] [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9]=>[2,3,6,4,5,1,7,8,9]=>[[1,3,4,5,7,8,9],[2],[6]] [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[5,3,2,1,4,6,7,8,9]=>[4,1,2,5,3,6,7,8,9]=>[[1,2,3,6,7,8,9],[4,5]] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9],[4]] [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[4,2,3,1,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]] [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2],[4]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,1,2,3,4,5,6,9]=>[2,3,4,5,6,8,1,7,9]=>[[1,3,4,5,6,7,9],[2,8]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,8,1,2,3,4,5,6,9]=>[2,3,4,5,6,8,7,1,9]=>[[1,3,4,5,6,7,9],[2],[8]] [1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[5,6,1,2,3,4,7,8,9]=>[2,3,4,6,5,1,7,8,9]=>[[1,3,4,5,7,8,9],[2],[6]] [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[5,4,1,2,3,6,7,8,9]=>[2,3,5,1,4,6,7,8,9]=>[[1,3,4,6,7,8,9],[2,5]] [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[4,5,1,2,3,6,7,8,9]=>[2,3,5,4,1,6,7,8,9]=>[[1,3,4,6,7,8,9],[2],[5]] [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[5,3,1,2,4,6,7,8,9]=>[2,4,1,5,3,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]] [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1,2,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]] [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2],[4]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[8,2,1,3,4,5,6,7,9]=>[3,1,4,5,6,7,8,2,9]=>[[1,2,5,6,7,8,9],[3,4]] [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[4,2,1,3,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,7,9]=>[2,3,4,5,6,7,8,1,9]=>[[1,3,4,5,6,7,8,9],[2]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,5,6,8,9]=>[2,3,4,5,6,7,1,8,9]=>[[1,3,4,5,6,7,8,9],[2]] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[6,1,2,3,4,5,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]] [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1]=>[9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,3,2,1]=>[9,1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,3,2,1]=>[9,1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[8,7,6,9,5,4,3,2,1]=>[9,1,2,3,4,8,6,7,5]=>[[1,2,3,4,5,7],[6],[8],[9]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,9,4,3,2,1]=>[9,1,2,3,8,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8],[9]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,9,3,2,1]=>[9,1,2,8,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8],[9]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,9,2,1]=>[9,1,8,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8],[9]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[9,8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8],[9]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,2,1]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[10,1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[7,8,9,6,5,4,3,2,1]=>[9,1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,8],[7],[9]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[9,8,10,7,6,5,4,3,2,1]=>[10,1,2,3,4,5,6,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9],[10]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[8,6,7,9,5,4,3,2,1]=>[9,1,2,3,4,7,8,6,5]=>[[1,2,3,4,5,8],[6],[7],[9]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[9,8,7,10,6,5,4,3,2,1]=>[10,1,2,3,4,5,9,7,8,6]=>[[1,2,3,4,5,6,8],[7],[9],[10]] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[8,7,5,6,9,4,3,2,1]=>[9,1,2,3,6,8,5,7,4]=>[[1,2,3,4,7],[5,8],[6],[9]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,10,5,4,3,2,1]=>[10,1,2,3,4,9,6,7,8,5]=>[[1,2,3,4,5,7,8],[6],[9],[10]] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,9,3,2,1]=>[9,1,2,5,8,4,6,7,3]=>[[1,2,3,6,7],[4,8],[5],[9]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,10,4,3,2,1]=>[10,1,2,3,9,5,6,7,8,4]=>[[1,2,3,4,6,7,8],[5],[9],[10]] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,3,4,9,2,1]=>[9,1,4,8,3,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4],[9]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,10,3,2,1]=>[10,1,2,9,4,5,6,7,8,3]=>[[1,2,3,5,6,7,8],[4],[9],[10]] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,3,9,1]=>[9,3,8,2,4,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3],[9]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,10,2,1]=>[10,1,9,3,4,5,6,7,8,2]=>[[1,2,4,5,6,7,8],[3],[9],[10]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[10,9,2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9],[10]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,1,10]=>[9,1,2,3,4,5,6,7,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,2,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10],[11]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,10,2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10],[11]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>[[1,2,3,4,5,6,7,8,9,11],[10]] [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]=>[[1,2,3,4,5,7,8,9],[6],[10]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,2,1]=>[9,1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,7],[8],[9]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,3,2,1]=>[9,1,2,5,3,4,6,7,8]=>[[1,2,3,4,6,7,8],[5],[9]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[9,8,3,4,5,6,7,2,1]=>[9,1,4,5,6,7,2,3,8]=>[[1,2,3,6,7,8],[4,5],[9]] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,8,2,1]=>[9,1,4,5,6,7,8,2,3]=>[[1,2,3,6,7,8],[4,5],[9]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,3,1]=>[9,3,1,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3],[9]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,3,4,1]=>[9,3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4],[9]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[9,8,2,3,4,5,6,7,1]=>[9,3,4,5,6,7,1,2,8]=>[[1,2,5,6,7,8],[3,4],[9]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,1,2]=>[2,9,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2,9]] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,1,2]=>[2,9,1,3,4,5,8,6,7]=>[[1,3,4,5,6,7],[2,8],[9]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,4,1,2]=>[2,9,4,1,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4],[9]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,3,4,1,2]=>[2,9,4,1,6,3,5,7,8]=>[[1,3,5,7,8],[2,4,6],[9]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,3,4,1,2]=>[2,9,4,1,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8],[9]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,8,1,2]=>[2,9,4,5,6,7,8,1,3]=>[[1,3,5,6,7,8],[2,4],[9]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,1,2,3]=>[2,3,9,1,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2,9]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,1,2,3]=>[2,3,9,5,1,4,6,7,8]=>[[1,3,4,6,7,8],[2,5],[9]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,1,2,3]=>[2,3,9,5,1,7,4,8,6]=>[[1,3,4,6,8],[2,5,7],[9]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[9,8,7,4,5,6,1,2,3]=>[2,3,9,5,6,1,4,7,8]=>[[1,3,4,6,7,8],[2,5],[9]] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[7,8,9,4,5,6,1,2,3]=>[2,3,9,5,6,1,7,8,4]=>[[1,3,4,6,7,8],[2,5],[9]] [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,1,2,3]=>[2,3,9,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,1,2,3,4]=>[2,3,4,9,1,5,6,7,8]=>[[1,3,4,5,6,7,8],[2,9]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,1,2,3,4]=>[2,3,4,9,6,1,5,7,8]=>[[1,3,4,5,7,8],[2,6],[9]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,1,2,3,4]=>[2,3,4,9,6,1,8,5,7]=>[[1,3,4,5,7],[2,6,8],[9]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[9,8,5,6,7,1,2,3,4]=>[2,3,4,9,6,7,1,5,8]=>[[1,3,4,5,7,8],[2,6],[9]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[8,9,5,6,7,1,2,3,4]=>[2,3,4,9,6,7,1,8,5]=>[[1,3,4,5,7,8],[2,6],[9]] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[9,5,6,7,8,1,2,3,4]=>[2,3,4,9,6,7,8,1,5]=>[[1,3,4,5,7,8],[2,6],[9]] [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,1,2,3,4]=>[2,3,4,9,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,1,2,3,4,5]=>[2,3,4,5,9,1,6,7,8]=>[[1,3,4,5,6,7,8],[2,9]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,1,2,3,4,5]=>[2,3,4,5,9,7,1,6,8]=>[[1,3,4,5,6,8],[2,7],[9]] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[9,6,7,8,1,2,3,4,5]=>[2,3,4,5,9,7,8,1,6]=>[[1,3,4,5,6,8],[2,7],[9]] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>[2,3,4,5,9,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[9,8,7,1,2,3,4,5,6]=>[2,3,4,5,6,9,1,7,8]=>[[1,3,4,5,6,7,8],[2,9]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[9,7,8,1,2,3,4,5,6]=>[2,3,4,5,6,9,8,1,7]=>[[1,3,4,5,6,7],[2,8],[9]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[2,3,4,5,6,9,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[10,3,4,5,6,7,8,9,2,1]=>[10,1,4,5,6,7,8,9,2,3]=>[[1,2,3,6,7,8,9],[4,5],[10]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,2,3,1]=>[10,3,1,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3],[10]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,2,3,4,5,6,7,8,1]=>[10,3,4,5,6,7,8,1,2,9]=>[[1,2,5,6,7,8,9],[3,4],[10]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,1,2]=>[2,10,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2,10]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,4,1,2]=>[2,10,4,1,3,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4],[10]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,6,3,4,1,2]=>[2,10,4,1,6,3,5,7,8,9]=>[[1,3,5,7,8,9],[2,4,6],[10]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[10,9,7,8,5,6,3,4,1,2]=>[2,10,4,1,6,3,8,5,7,9]=>[[1,3,5,7,9],[2,4,6,8],[10]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,4,1,2]=>[2,10,4,1,6,3,8,5,9,7]=>[[1,3,5,7,9],[2,4,6,8],[10]] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[10,3,4,5,6,7,8,9,1,2]=>[2,10,4,5,6,7,8,9,1,3]=>[[1,3,5,6,7,8,9],[2,4],[10]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,1,2,3]=>[2,3,10,1,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2,10]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,5,1,2,3]=>[2,3,10,5,1,4,6,7,8,9]=>[[1,3,4,6,7,8,9],[2,5],[10]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,1,2,3]=>[2,3,10,5,1,7,4,9,6,8]=>[[1,3,4,6,8],[2,5,7,9],[10]] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,4,5,6,1,2,3]=>[2,3,10,5,6,1,8,4,9,7]=>[[1,3,4,6,7,9],[2,5,8],[10]] [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,1,2,3]=>[2,3,10,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,1,2,3,4]=>[2,3,4,10,1,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2,10]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,1,2,3,4]=>[2,3,4,10,6,1,8,5,9,7]=>[[1,3,4,5,7,9],[2,6,8],[10]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[8,9,10,5,6,7,1,2,3,4]=>[2,3,4,10,6,7,1,8,9,5]=>[[1,3,4,5,7,8,9],[2,6],[10]] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[10,9,5,6,7,8,1,2,3,4]=>[2,3,4,10,6,7,8,1,5,9]=>[[1,3,4,5,7,8,9],[2,6],[10]] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[9,10,5,6,7,8,1,2,3,4]=>[2,3,4,10,6,7,8,1,9,5]=>[[1,3,4,5,7,8,9],[2,6],[10]] [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,1,2,3,4]=>[2,3,4,10,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,1,2,3,4,5]=>[2,3,4,5,10,1,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2,10]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,1,2,3,4,5]=>[2,3,4,5,10,7,1,9,6,8]=>[[1,3,4,5,6,8],[2,7,9],[10]] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[10,6,7,8,9,1,2,3,4,5]=>[2,3,4,5,10,7,8,9,1,6]=>[[1,3,4,5,6,8,9],[2,7],[10]] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[2,3,4,5,10,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,1,2,3,4,5,6]=>[2,3,4,5,6,10,1,7,8,9]=>[[1,3,4,5,6,7,8,9],[2,10]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[10,7,8,9,1,2,3,4,5,6]=>[2,3,4,5,6,10,8,9,1,7]=>[[1,3,4,5,6,7,9],[2,8],[10]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>[2,3,4,5,6,10,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[10,9,8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,1,8,9]=>[[1,3,4,5,6,7,8,9],[2,10]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[10,8,9,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,1,8]=>[[1,3,4,5,6,7,8],[2,9],[10]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,8,9,1]=>[[1,3,4,5,6,7,8,9],[2],[10]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,1,3]=>[3,1,9,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3,9]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,3,2,1,5]=>[5,1,2,3,9,4,6,7,8]=>[[1,2,3,4,6,7,8],[5,9]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,9,5,7,8]=>[[1,2,3,4,5,7,8],[6,9]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,9,6,8]=>[[1,2,3,4,5,6,8],[7,9]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,3,1,4]=>[4,3,1,9,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,9],[4]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,10,3,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9],[4,10]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,10,4,6,7,8,9]=>[[1,2,3,4,6,7,8,9],[5,10]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[9,6,7,5,4,3,2,1,8]=>[8,1,2,3,4,7,5,9,6]=>[[1,2,3,4,5,6],[7,9],[8]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,10,8]=>[[1,2,3,4,5,6,7,8],[9,10]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,1,2]=>[2,11,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2,11]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,9,7,6,5,4,3,2,1,10]=>[9,1,2,3,4,5,6,8,7,10]=>[[1,2,3,4,5,6,7,10],[8],[9]] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]] [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9,10,11]=>[2,3,1,4,5,6,7,8,9,10,11]=>[[1,3,4,5,6,7,8,9,10,11],[2]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,6,5,4,3,2,1,7,8]=>[7,1,2,3,4,5,8,9,6]=>[[1,2,3,4,5,6,9],[7,8]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[9,8,5,4,3,2,1,6,7]=>[6,1,2,3,4,7,9,5,8]=>[[1,2,3,4,5,8],[6,7,9]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,3,2,1,4,5]=>[4,1,2,5,9,3,6,7,8]=>[[1,2,3,6,7,8],[4,5,9]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,1,3,4]=>[3,1,4,9,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4,9]] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>[[1,3,4,5,6,7,8,10],[2],[9]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1,2,3,4,5,6,7,8,10]=>[2,3,4,5,6,7,8,9,1,10]=>[[1,3,4,5,6,7,8,9,10],[2]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[[1,3,4,5,6,7,8,9,10,11],[2]] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]] [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[[1,3,4,5,6,7,8,9,10,11],[2]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,9,5,4,3,2,1]=>[10,1,2,3,4,9,6,7,5,8]=>[[1,2,3,4,5,7,8],[6],[9],[10]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,1,2,8]=>[2,8,1,3,4,5,6,9,7]=>[[1,3,4,5,6,7],[2,8,9]] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[7,6,5,4,3,2,1,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]] [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[6,5,7,8,9,1,2,3,4]=>[2,3,4,9,6,5,7,8,1]=>[[1,3,4,5,7,8],[2],[6],[9]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[8,7,9,1,2,3,4,5,6]=>[2,3,4,5,6,9,8,7,1]=>[[1,3,4,5,6,7],[2],[8],[9]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[8,1,2,3,4,5,6,7,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[7,6,8,9,1,2,3,4,5]=>[2,3,4,5,9,7,6,8,1]=>[[1,3,4,5,6,8],[2],[7],[9]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[7,1,2,3,4,5,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[6,1,2,3,4,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]] [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[5,4,6,7,8,9,1,2,3]=>[2,3,9,5,4,6,7,8,1]=>[[1,3,4,6,7,8],[2],[5],[9]] [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]] [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[9,8,7,5,6,4,3,2,1,10]=>[9,1,2,3,6,4,5,7,8,10]=>[[1,2,3,4,5,7,8,10],[6],[9]] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,4,3,2,1,6]=>[6,1,2,3,4,9,8,5,7]=>[[1,2,3,4,5,7],[6,8],[9]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,2,1,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]] [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9,10]=>[2,4,3,1,5,6,7,8,9,10]=>[[1,3,5,6,7,8,9,10],[2],[4]] [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9,10]=>[2,3,6,4,5,1,7,8,9,10]=>[[1,3,4,5,7,8,9,10],[2],[6]] [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9,10]=>[2,3,4,8,5,6,7,1,9,10]=>[[1,3,4,5,6,7,9,10],[2],[8]] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[7,6,8,5,9,4,10,2,1,3]=>[3,1,10,9,8,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[[1,2,3,4,5,6,7,8,9,10,11]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[10,7,6,5,4,3,2,1,8,9]=>[8,1,2,3,4,5,6,9,10,7]=>[[1,2,3,4,5,6,7,10],[8,9]] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[9,5,4,3,2,1,6,7,8]=>[6,1,2,3,4,7,8,9,5]=>[[1,2,3,4,5,8,9],[6,7]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[10,5,4,3,2,1,6,7,8,9]=>[6,1,2,3,4,7,8,9,10,5]=>[[1,2,3,4,5,8,9,10],[6,7]] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[10,6,5,4,3,2,1,7,8,9]=>[7,1,2,3,4,5,8,9,10,6]=>[[1,2,3,4,5,6,9,10],[7,8]] [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,11,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,11,10,1]=>[[1,3,4,5,6,7,8,9,10],[2],[11]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,4,3,2,1,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]] [1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0]=>[4,2,1,3,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3,4]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[9,8,7,2,1,3,4,5,6]=>[3,1,4,5,6,9,2,7,8]=>[[1,2,5,6,7,8],[3,4,9]] [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,9,2,1]=>[10,1,9,3,4,5,6,7,2,8]=>[[1,2,4,5,6,7,8],[3],[9],[10]] [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]] [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[11,2,3,4,5,6,7,8,9,1,10]=>[10,3,4,5,6,7,8,9,1,11,2]=>[[1,2,5,6,7,8,9,11],[3,4],[10]] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[10,2,3,4,5,6,7,8,9,11,1]=>[11,3,4,5,6,7,8,9,10,2,1]=>[[1,4,5,6,7,8,9,10],[2],[3],[11]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,11,9]=>[[1,2,3,4,5,6,7,8,9],[10,11]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,8,1]=>[9,8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2],[8],[9]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,9,1,2,3,4,5,6,7,10]=>[2,3,4,5,6,7,9,8,1,10]=>[[1,3,4,5,6,7,8,10],[2],[9]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,2,1,3,4]=>[3,1,4,10,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4,10]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[11,10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,11,1,10]=>[[1,3,4,5,6,7,8,9,10],[2,11]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[9,8,4,1,2,3,5,6,7]=>[2,3,5,1,6,7,9,4,8]=>[[1,3,4,6,7,8],[2,5,9]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,8],[2],[9],[10]] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[11,2,3,4,5,6,7,8,9,10,1]=>[11,3,4,5,6,7,8,9,10,1,2]=>[[1,2,5,6,7,8,9,10],[3,4],[11]] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[7,8,2,3,4,5,6,9,1]=>[9,3,4,5,6,8,7,2,1]=>[[1,4,5,6,7],[2],[3],[8],[9]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,1,2,9]=>[2,9,1,3,4,5,6,7,10,8]=>[[1,3,4,5,6,7,8],[2,9,10]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,8,2,1]=>[9,1,8,3,4,5,6,2,7]=>[[1,2,4,5,6,7],[3],[8],[9]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,2,1,3,4,5,6,7,8]=>[3,1,4,5,6,7,8,10,2,9]=>[[1,2,5,6,7,8,9],[3,4,10]] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,1,2,8]=>[2,8,4,5,6,7,1,9,3]=>[[1,3,5,6,7,9],[2,4],[8]] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]] [1,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[6,7,5,8,4,9,3,10,1,2]=>[2,10,9,8,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,4,6,3,7,2,8,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,6,5,4,3,1,2,7,8]=>[2,7,1,3,4,5,8,9,6]=>[[1,3,4,5,6,9],[2,7,8]] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[9,7,5,3,1,2,4,6,8,10]=>[2,4,1,6,3,8,5,9,7,10]=>[[1,3,5,7,9,10],[2,4,6,8]] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[7,8,5,6,3,4,1,2,9,10]=>[2,8,4,1,6,3,7,5,9,10]=>[[1,3,5,7,9,10],[2,4,6],[8]] [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,11,2,1]=>[11,1,3,4,5,6,7,8,9,10,2]=>[[1,2,4,5,6,7,8,9,10],[3],[11]] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[11,3,4,5,6,7,8,9,10,1,2]=>[2,11,4,5,6,7,8,9,10,1,3]=>[[1,3,5,6,7,8,9,10],[2,4],[11]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[11,8,9,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,11,9,10,1,8]=>[[1,3,4,5,6,7,8,10],[2,9],[11]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[9,8,10,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,10,9,8,1]=>[[1,3,4,5,6,7,8],[2],[9],[10]] [1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]] [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,7,5,8,4,9,3,10,2,11,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[[1,12],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[7,8,9,4,5,6,1,2,3,10]=>[2,3,9,5,6,1,7,8,4,10]=>[[1,3,4,6,7,8,10],[2,5],[9]] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,2,1,3,9]=>[3,1,9,2,4,5,6,7,10,8]=>[[1,2,4,5,6,7,8],[3,9,10]] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[9,7,5,3,1,2,4,6,8]=>[2,4,1,6,3,8,5,9,7]=>[[1,3,5,7,9],[2,4,6,8]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[10,8,6,5,4,3,2,1,7,9]=>[7,1,2,3,4,5,9,6,10,8]=>[[1,2,3,4,5,6,8],[7,9,10]] [1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[6,4,5,7,3,8,2,9,1]=>[9,8,7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8],[9]] [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[6,4,5,7,3,8,2,9,1,10]=>[9,8,7,5,6,4,3,2,1,10]=>[[1,6,10],[2],[3],[4],[5],[7],[8],[9]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[12,11,10,9,8,7,6,5,4,3,1,2]=>[2,12,1,3,4,5,6,7,8,9,10,11]=>[[1,3,4,5,6,7,8,9,10,11],[2,12]] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[10,5,6,4,7,3,8,2,9,1]=>[10,9,8,7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,12,10]=>[[1,2,3,4,5,6,7,8,9,10],[11,12]] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0]=>[9,8,6,4,2,1,3,5,7,10]=>[3,1,5,2,7,4,9,6,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]
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 insertion tableau
Description
Sends a permutation to its Robinson-Schensted insertion 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 insertion tableau.