Identifier
Mp00023: Dyck paths to non-crossing permutationPermutations
Mp00073: Permutations major-index to inversion-number bijectionPermutations
Mp00127: Permutations left-to-right-maxima to Dyck path Dyck paths
Images
=>
Cc0005;cc-rep-0Cc0005;cc-rep-3
[1,0]=>[1]=>[1]=>[1,0] [1,0,1,0]=>[1,2]=>[1,2]=>[1,0,1,0] [1,1,0,0]=>[2,1]=>[2,1]=>[1,1,0,0] [1,0,1,0,1,0]=>[1,2,3]=>[1,2,3]=>[1,0,1,0,1,0] [1,0,1,1,0,0]=>[1,3,2]=>[2,3,1]=>[1,1,0,1,0,0] [1,1,0,0,1,0]=>[2,1,3]=>[2,1,3]=>[1,1,0,0,1,0] [1,1,0,1,0,0]=>[2,3,1]=>[3,1,2]=>[1,1,1,0,0,0] [1,1,1,0,0,0]=>[3,2,1]=>[3,2,1]=>[1,1,1,0,0,0] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[1,2,3,4]=>[1,0,1,0,1,0,1,0] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[2,3,4,1]=>[1,1,0,1,0,1,0,0] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[2,3,1,4]=>[1,1,0,1,0,0,1,0] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[2,4,1,3]=>[1,1,0,1,1,0,0,0] [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[3,4,2,1]=>[1,1,1,0,1,0,0,0] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>[1,1,0,0,1,0,1,0] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[3,2,4,1]=>[1,1,1,0,0,1,0,0] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[3,1,2,4]=>[1,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[4,1,2,3]=>[1,1,1,1,0,0,0,0] [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[4,2,3,1]=>[1,1,1,1,0,0,0,0] [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[3,2,1,4]=>[1,1,1,0,0,0,1,0] [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[4,2,1,3]=>[1,1,1,1,0,0,0,0] [1,1,1,0,1,0,0,0]=>[4,2,3,1]=>[4,1,3,2]=>[1,1,1,1,0,0,0,0] [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[4,3,2,1]=>[1,1,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[2,3,5,1,4]=>[1,1,0,1,0,1,1,0,0,0] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[3,4,2,5,1]=>[1,1,1,0,1,0,0,1,0,0] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[2,4,1,3,5]=>[1,1,0,1,1,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[2,5,1,3,4]=>[1,1,0,1,1,1,0,0,0,0] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[3,5,2,4,1]=>[1,1,1,0,1,1,0,0,0,0] [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[3,4,2,1,5]=>[1,1,1,0,1,0,0,0,1,0] [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[3,5,2,1,4]=>[1,1,1,0,1,1,0,0,0,0] [1,0,1,1,1,0,1,0,0,0]=>[1,5,3,4,2]=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0] [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[4,5,3,2,1]=>[1,1,1,1,0,1,0,0,0,0] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[3,2,5,1,4]=>[1,1,1,0,0,1,1,0,0,0] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[4,3,5,2,1]=>[1,1,1,1,0,0,1,0,0,0] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[1,1,1,0,0,0,1,0,1,0] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[1,1,1,1,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[1,1,1,1,1,0,0,0,0,0] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0] [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0] [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[5,2,3,1,4]=>[1,1,1,1,1,0,0,0,0,0] [1,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,1]=>[5,2,1,4,3]=>[1,1,1,1,1,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[5,3,4,2,1]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0] [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0] [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[4,2,1,3,5]=>[1,1,1,1,0,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[5,2,1,3,4]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,0,1,0,0,0,1,0]=>[4,2,3,1,5]=>[4,1,3,2,5]=>[1,1,1,1,0,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1]=>[5,1,3,2,4]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,1]=>[5,1,2,4,3]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,0,1,1,0,0,0,0]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0] [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[5,3,2,1,4]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,1,0,0,1,0,0,0]=>[5,3,2,4,1]=>[5,3,1,4,2]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,0]=>[5,3,4,2,1]=>[5,4,1,3,2]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>[1,1,0,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[2,3,4,5,1,6]=>[1,1,0,1,0,1,0,1,0,0,1,0] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>[1,1,0,1,0,1,0,1,1,0,0,0] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[2,3,4,1,5,6]=>[1,1,0,1,0,1,0,0,1,0,1,0] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[2,3,5,1,4,6]=>[1,1,0,1,0,1,1,0,0,0,1,0] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[2,3,6,1,4,5]=>[1,1,0,1,0,1,1,1,0,0,0,0] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>[1,1,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,6,4,5,3]=>[3,4,6,1,5,2]=>[1,1,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[4,5,6,3,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[2,3,1,4,5,6]=>[1,1,0,1,0,0,1,0,1,0,1,0] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[3,4,2,5,6,1]=>[1,1,1,0,1,0,0,1,0,1,0,0] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[3,4,2,5,1,6]=>[1,1,1,0,1,0,0,1,0,0,1,0] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[3,4,2,6,1,5]=>[1,1,1,0,1,0,0,1,1,0,0,0] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[2,4,1,3,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[3,5,2,4,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[2,5,1,3,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[2,6,1,3,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[3,6,2,4,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[3,5,2,4,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[3,6,2,4,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,6,4,5,2]=>[3,6,2,1,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[4,6,3,5,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[3,4,2,1,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[4,5,3,2,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[3,5,2,1,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[3,6,2,1,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,5,3,4,2,6]=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,6,2]=>[3,6,1,4,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,6,3,4,5,2]=>[3,6,1,2,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,6,3,5,4,2]=>[4,6,2,5,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[4,5,3,2,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[4,6,3,2,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,6,4,3,5,2]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,6,4,5,3,2]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[5,6,4,3,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[3,2,4,5,6,1]=>[1,1,1,0,0,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[3,2,4,5,1,6]=>[1,1,1,0,0,1,0,1,0,0,1,0] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[3,2,4,6,1,5]=>[1,1,1,0,0,1,0,1,1,0,0,0] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[3,2,4,1,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[4,3,5,2,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[3,2,5,1,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[3,2,6,1,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[4,3,6,2,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[4,3,5,2,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[4,3,6,2,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,6,4,5,3]=>[4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[5,4,6,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[4,2,3,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[5,3,4,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[6,2,3,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,6,4,5,1]=>[6,2,3,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[6,3,4,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[5,2,3,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[6,2,3,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,5,3,4,1,6]=>[5,2,1,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,6,1]=>[6,2,1,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,6,3,4,5,1]=>[6,2,1,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,1]=>[6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[6,3,4,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,6,4,3,5,1]=>[6,3,4,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,6,4,5,3,1]=>[6,3,5,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[6,4,5,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[4,3,2,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[5,4,3,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[6,3,2,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,6,4,5,1]=>[6,3,2,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,2,3,1,5,6]=>[4,1,3,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,2,3,1,6,5]=>[5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,2,3,5,1,6]=>[5,1,3,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,2,3,5,6,1]=>[6,1,3,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,3,4,1,6]=>[5,1,2,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,0,0]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,0,1,1,0,0,0,0]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,4,3,6,1]=>[6,2,4,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,1,0,0,0]=>[6,2,4,3,5,1]=>[6,2,4,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,0,0,0,0]=>[6,2,4,5,3,1]=>[6,2,5,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,0,0]=>[6,2,5,4,3,1]=>[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,3,2,4,1,6]=>[5,3,1,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[6,3,1,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,1,0,0,0]=>[6,3,2,4,5,1]=>[6,3,1,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,0,0,0,0]=>[6,3,2,5,4,1]=>[6,4,2,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,3,4,2,1,6]=>[5,4,1,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,3,4,2,6,1]=>[6,4,1,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,1,0,0,0]=>[6,3,4,2,5,1]=>[6,4,1,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,0,0,0,0]=>[6,3,4,5,2,1]=>[6,5,1,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,5,4,2,1]=>[6,5,2,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,0,0]=>[6,4,3,2,5,1]=>[6,4,3,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,0,0,0,0]=>[6,4,3,5,2,1]=>[6,5,3,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,5,3,4,2,1]=>[6,5,1,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[2,3,4,5,6,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[2,3,4,5,7,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[3,4,5,6,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[2,3,4,5,1,6,7]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[3,4,5,6,2,7,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[2,3,4,6,1,5,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[2,3,4,7,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[3,4,5,7,2,6,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[3,4,5,6,2,1,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[3,4,5,7,2,1,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,7,5,6,4]=>[3,4,5,7,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[2,3,4,1,5,6,7]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[3,4,5,2,6,7,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[3,4,5,2,6,1,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[3,4,5,2,7,1,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[4,5,6,3,7,2,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[2,3,5,1,4,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[3,4,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[2,3,6,1,4,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[2,3,7,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[3,4,6,2,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[3,4,7,2,5,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,7,5,6,3]=>[3,4,7,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[4,5,7,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[3,4,5,2,1,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[4,5,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[3,4,6,2,1,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[3,4,7,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[4,5,7,3,2,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,6,4,5,3,7]=>[3,4,6,1,5,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,6,4,5,7,3]=>[3,4,7,1,5,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,7,4,5,6,3]=>[3,4,7,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,7,4,6,5,3]=>[4,5,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[4,5,6,3,2,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[4,5,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,7,5,4,6,3]=>[4,5,7,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,7,5,6,4,3]=>[4,5,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[5,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[3,4,2,5,6,7,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[3,4,2,5,6,1,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[3,4,2,5,7,1,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[4,5,3,6,7,2,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[3,4,2,5,1,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[3,4,2,6,1,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[3,4,2,7,1,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[4,5,3,7,2,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,7,5,6,4]=>[4,5,3,7,1,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[5,6,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[3,5,2,4,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[3,5,2,4,6,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[3,5,2,4,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[2,5,1,3,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[3,6,2,4,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[2,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[2,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[3,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[3,6,2,4,5,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[3,7,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,7,5,6,2]=>[3,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[4,7,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[3,5,2,4,1,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[4,6,3,5,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[3,6,2,4,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[3,7,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[4,7,3,5,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,6,4,5,2,7]=>[3,6,2,1,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,6,4,5,7,2]=>[3,7,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,7,4,5,6,2]=>[3,7,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,7,4,6,5,2]=>[4,7,3,2,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[4,6,3,5,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[4,7,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,7,5,4,6,2]=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,7,5,6,4,2]=>[4,7,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[5,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[3,4,2,1,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[4,5,3,2,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[4,5,3,2,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[4,5,3,2,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[3,5,2,1,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[4,6,3,2,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[3,6,2,1,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[3,7,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[4,7,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[4,6,3,2,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[4,7,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,7,5,6,2]=>[4,7,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[5,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,5,3,4,2,6,7]=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,5,3,4,2,7,6]=>[4,6,2,5,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,5,3,4,6,2,7]=>[3,6,1,4,2,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,5,3,4,6,7,2]=>[3,7,1,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,5,3,4,7,6,2]=>[4,7,2,5,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,6,3,4,5,2,7]=>[3,6,1,2,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,6,3,4,5,7,2]=>[3,7,1,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,7,3,4,5,6,2]=>[3,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,7,3,4,6,5,2]=>[4,7,2,3,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,6,3,5,4,2,7]=>[4,6,2,5,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,6,3,5,4,7,2]=>[4,7,2,5,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,7,3,5,4,6,2]=>[4,7,2,5,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,3,5,6,4,2]=>[4,7,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,7,3,6,5,4,2]=>[5,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[4,5,3,2,1,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[5,6,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[4,6,3,2,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[4,7,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[5,7,4,3,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,6,4,3,5,2,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,6,4,3,5,7,2]=>[4,7,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,7,4,3,5,6,2]=>[4,7,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,7,4,3,6,5,2]=>[5,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,6,4,5,3,2,7]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,6,4,5,3,7,2]=>[4,7,5,1,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,4,5,3,6,2]=>[4,7,5,1,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,7,4,5,6,3,2]=>[4,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,7,4,6,5,3,2]=>[5,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[5,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[5,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,7,5,4,3,6,2]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,7,5,4,6,3,2]=>[5,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,7,6,4,5,3,2]=>[5,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[6,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[3,2,4,5,6,1,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[3,2,4,5,7,1,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[4,3,5,6,7,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[3,2,4,5,1,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[4,3,5,6,2,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[3,2,4,6,1,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[3,2,4,7,1,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[4,3,5,6,2,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[4,3,5,7,2,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,7,5,6,4]=>[4,3,5,7,1,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[5,4,6,7,3,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[3,2,4,1,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[4,3,5,2,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[4,3,5,2,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[4,3,5,2,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[5,4,6,3,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[3,2,5,1,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[4,3,6,2,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[3,2,6,1,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[3,2,7,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[4,3,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[4,3,6,2,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[4,3,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,7,5,6,3]=>[4,3,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[5,4,7,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[4,3,5,2,1,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[5,4,6,3,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[4,3,6,2,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[4,3,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[5,4,7,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,6,4,5,3,7]=>[4,3,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,6,4,5,7,3]=>[4,3,7,1,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,7,4,5,6,3]=>[4,3,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,7,4,6,5,3]=>[5,4,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[5,4,6,3,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[5,4,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,7,5,4,6,3]=>[5,4,7,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,7,5,6,4,3]=>[5,4,7,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[6,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[4,2,3,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[4,2,3,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[4,2,3,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[5,3,4,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[4,2,3,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[5,3,4,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[4,2,3,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[4,2,3,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[5,3,4,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[5,3,4,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[5,3,4,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,7,5,6,4]=>[5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[6,4,5,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[5,2,3,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[6,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[7,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,7,5,6,1]=>[7,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[6,3,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[6,2,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[7,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[7,3,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,6,4,5,1,7]=>[6,2,3,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,6,4,5,7,1]=>[7,2,3,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,7,4,5,6,1]=>[7,2,3,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,7,4,6,5,1]=>[7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[6,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[7,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,7,5,4,6,1]=>[7,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,7,5,6,4,1]=>[7,3,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[5,3,4,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[5,3,4,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[5,3,4,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[6,4,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[5,2,3,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[6,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[7,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[7,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,7,5,6,1]=>[7,3,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[7,4,5,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,3,4,1,6,7]=>[5,2,1,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,3,4,1,7,6]=>[6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,3,4,6,1,7]=>[6,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,3,4,6,7,1]=>[7,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,3,4,7,6,1]=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,6,3,4,5,1,7]=>[6,2,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,6,3,4,5,7,1]=>[7,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,7,3,4,5,6,1]=>[7,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,7,3,4,6,5,1]=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,6,3,5,4,1,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,6,3,5,4,7,1]=>[7,3,2,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,7,3,5,4,6,1]=>[7,3,2,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,7,3,5,6,4,1]=>[7,3,2,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,7,3,6,5,4,1]=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[5,3,4,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[6,4,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[6,3,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[7,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[7,4,5,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,6,4,3,5,1,7]=>[6,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,6,4,3,5,7,1]=>[7,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,4,3,5,6,1]=>[7,3,4,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,7,4,3,6,5,1]=>[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,4,5,3,1,7]=>[6,3,5,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,4,5,3,7,1]=>[7,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,7,4,5,3,6,1]=>[7,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,7,4,5,6,3,1]=>[7,3,6,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,7,4,6,5,3,1]=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[6,4,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,7,5,4,3,6,1]=>[7,4,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,5,4,6,3,1]=>[7,4,6,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,6,4,5,3,1]=>[7,4,6,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[4,3,2,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[4,3,2,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[4,3,2,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[5,4,3,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[4,3,2,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[4,3,2,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[5,4,3,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[5,4,3,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[5,4,3,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,7,5,6,4]=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[6,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[5,3,2,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[5,3,2,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[5,3,2,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[6,4,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[7,3,2,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,7,5,6,1]=>[7,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[6,3,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[7,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,6,4,5,1,7]=>[6,3,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,6,4,5,7,1]=>[7,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,7,4,5,6,1]=>[7,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,7,4,6,5,1]=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[7,4,3,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,7,5,4,6,1]=>[7,4,3,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,7,5,6,4,1]=>[7,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7]=>[4,1,3,2,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,2,3,1,5,7,6]=>[5,2,4,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,2,3,1,6,5,7]=>[5,2,4,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,1,6,7,5]=>[5,2,4,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,2,3,1,7,6,5]=>[6,3,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,2,3,5,1,6,7]=>[5,1,3,2,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,2,3,5,1,7,6]=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,1,7]=>[6,1,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,1]=>[7,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,2,3,5,7,6,1]=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,2,3,6,5,1,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,2,3,6,5,7,1]=>[7,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,2,3,7,5,6,1]=>[7,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,2,3,7,6,5,1]=>[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[5,2,3,4,1,6,7]=>[5,1,2,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[5,2,3,4,1,7,6]=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[5,2,3,4,6,1,7]=>[6,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[5,2,3,4,6,7,1]=>[7,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,2,3,4,7,6,1]=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,2,3,4,5,1,7]=>[6,1,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[7,1,2,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,2,3,4,5,6,1]=>[7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,2,3,5,4,7,1]=>[7,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[7,2,3,5,4,6,1]=>[7,2,3,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[7,2,3,5,6,4,1]=>[7,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[7,2,3,6,5,4,1]=>[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,2,4,3,1,7,6]=>[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[5,2,4,3,6,1,7]=>[6,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[5,2,4,3,6,7,1]=>[7,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,2,4,3,7,6,1]=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[6,2,4,3,5,1,7]=>[6,2,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,2,4,3,5,7,1]=>[7,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7,2,4,3,5,6,1]=>[7,2,4,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[7,2,4,3,6,5,1]=>[7,3,5,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,2,4,5,3,1,7]=>[6,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,2,4,5,3,7,1]=>[7,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7,2,4,5,3,6,1]=>[7,2,5,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7,2,4,5,6,3,1]=>[7,2,6,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[7,2,4,6,5,3,1]=>[7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,2,5,4,3,1,7]=>[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,5,4,3,7,1]=>[7,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[7,2,5,4,3,6,1]=>[7,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[7,2,5,4,6,3,1]=>[7,3,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[7,2,6,4,5,3,1]=>[7,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[7,2,6,5,4,3,1]=>[7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[5,4,3,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[6,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[7,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,7,5,6,1]=>[7,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,3,2,4,1,6,7]=>[5,3,1,4,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,3,2,4,1,7,6]=>[6,4,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,3,2,4,6,1,7]=>[6,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[5,3,2,4,6,7,1]=>[7,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,3,2,4,7,6,1]=>[7,4,2,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1,7]=>[6,3,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[7,3,1,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[7,3,2,4,5,6,1]=>[7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[7,3,2,4,6,5,1]=>[7,4,2,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,3,2,5,4,1,7]=>[6,4,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,2,5,4,7,1]=>[7,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[7,3,2,5,4,6,1]=>[7,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[7,3,2,5,6,4,1]=>[7,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[7,3,2,6,5,4,1]=>[7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,3,4,2,1,6,7]=>[5,4,1,3,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,3,4,2,1,7,6]=>[6,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,3,4,2,6,1,7]=>[6,4,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,3,4,2,6,7,1]=>[7,4,1,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,3,4,2,7,6,1]=>[7,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,3,4,2,5,1,7]=>[6,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[7,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[7,3,4,2,5,6,1]=>[7,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[7,3,4,2,6,5,1]=>[7,5,2,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,3,4,5,2,1,7]=>[6,5,1,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[7,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[7,3,4,5,2,6,1]=>[7,5,1,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,3,4,5,6,2,1]=>[7,6,1,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[7,3,4,6,5,2,1]=>[7,6,2,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,3,5,4,2,1,7]=>[6,5,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,3,5,4,2,7,1]=>[7,5,2,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[7,3,5,4,2,6,1]=>[7,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[7,3,5,4,6,2,1]=>[7,6,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[7,3,6,4,5,2,1]=>[7,6,2,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[7,3,6,5,4,2,1]=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,4,3,2,5,1,7]=>[6,4,3,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[7,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[7,4,3,2,5,6,1]=>[7,4,3,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[7,4,3,2,6,5,1]=>[7,5,4,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,4,3,5,2,1,7]=>[6,5,3,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[7,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[7,4,3,5,2,6,1]=>[7,5,3,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[7,4,3,5,6,2,1]=>[7,6,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[7,4,3,6,5,2,1]=>[7,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,5,3,4,2,1,7]=>[6,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,5,3,4,2,7,1]=>[7,5,1,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[7,5,3,4,2,6,1]=>[7,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[7,5,3,4,6,2,1]=>[7,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[7,6,3,4,5,2,1]=>[7,6,1,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[7,6,3,5,4,2,1]=>[7,6,2,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[7,5,4,3,2,6,1]=>[7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[7,5,4,3,6,2,1]=>[7,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[7,6,4,3,5,2,1]=>[7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,6,4,5,3,2,1]=>[7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,6,7,1,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,6,8,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>[3,4,5,6,7,8,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[2,3,4,5,6,1,7,8]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[3,4,5,6,7,2,8,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>[2,3,4,5,7,1,6,8]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[2,3,4,5,8,1,6,7]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]=>[3,4,5,6,8,2,7,1]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[3,4,5,6,7,2,1,8]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,8,6,7,5]=>[3,4,5,6,8,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[4,5,6,7,8,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[3,4,5,6,2,7,8,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[3,4,5,6,2,7,1,8]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[3,4,5,6,2,8,1,7]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>[4,5,6,7,3,8,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]=>[2,3,4,6,1,5,7,8]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>[3,4,5,7,2,6,8,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[2,3,4,7,1,5,6,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[2,3,4,8,1,5,6,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>[3,4,5,8,2,6,7,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,8,6,7,4]=>[3,4,5,8,2,1,7,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>[4,5,6,8,3,7,2,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,5,4,7,8]=>[3,4,5,6,2,1,7,8]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>[4,5,6,7,3,2,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>[3,4,5,7,2,1,6,8]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>[3,4,5,8,2,1,6,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[4,5,6,8,3,2,7,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,8,5,6,7,4]=>[3,4,5,8,1,2,7,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,8,5,7,6,4]=>[4,5,6,8,2,7,3,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>[4,5,6,7,3,2,1,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[4,5,6,8,3,2,1,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,8,6,5,7,4]=>[4,5,6,8,3,1,7,2]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[5,6,7,8,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[3,4,5,2,6,7,8,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[3,4,5,2,6,1,7,8]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[4,5,6,3,7,2,8,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>[3,4,5,2,7,1,6,8]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]=>[4,5,6,3,8,2,7,1]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>[4,5,6,3,8,2,1,7]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,8,6,7,5]=>[4,5,6,3,8,1,7,2]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[5,6,7,4,8,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8]=>[2,3,5,1,4,6,7,8]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,4,5,3,7,6,8]=>[3,4,6,2,5,7,1,8]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]=>[4,5,7,3,6,8,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[2,3,6,1,4,5,7,8]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,6,3,8,7]=>[3,4,7,2,5,6,8,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]=>[2,3,7,1,4,5,6,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[2,3,8,1,4,5,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,7,3]=>[3,4,8,2,5,6,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,8,6,7,3]=>[3,4,8,2,5,1,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,7,6,3]=>[4,5,8,3,6,7,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,4,6,5,3,7,8]=>[3,4,6,2,5,1,7,8]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,4,6,5,7,3,8]=>[3,4,7,2,5,1,6,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,4,7,5,6,8,3]=>[3,4,8,2,1,6,5,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,8,5,6,7,3]=>[3,4,8,2,1,5,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,4,8,6,5,7,3]=>[4,5,8,3,6,1,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]=>[5,6,8,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]=>[3,4,5,2,1,6,7,8]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>[4,5,6,3,2,7,8,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>[4,5,6,3,2,8,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,4,3,8,7,6]=>[5,6,7,4,3,8,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,3]=>[3,4,8,2,1,5,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,5,4,7,6,8,3]=>[4,5,8,3,2,6,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,5,4,8,6,7,3]=>[4,5,8,3,2,1,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,4,8,7,6,3]=>[5,6,8,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,6,4,5,3,7,8]=>[3,4,6,1,5,2,7,8]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,6,4,5,7,8,3]=>[3,4,8,1,5,2,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,8,4,5,6,7,3]=>[3,4,8,1,2,5,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,8,4,7,6,5,3]=>[5,6,8,3,7,4,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>[4,5,6,3,2,1,7,8]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]=>[4,5,8,3,2,1,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,5,4,8,7,3]=>[5,6,8,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,7,5,4,6,3,8]=>[4,5,7,3,1,6,2,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,8,5,4,6,7,3]=>[4,5,8,3,1,2,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,8,5,4,7,6,3]=>[5,6,8,4,2,7,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,8,5,6,4,7,3]=>[4,5,8,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,8,5,6,7,4,3]=>[4,5,8,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,6,5,4,3,8]=>[5,6,7,4,3,2,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,6,5,4,8,3]=>[5,6,8,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,8,6,5,4,7,3]=>[5,6,8,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,8,6,5,7,4,3]=>[5,6,8,7,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,8,7,5,6,4,3]=>[5,6,8,7,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>[6,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]=>[3,4,2,5,6,7,8,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[3,4,2,5,6,7,1,8]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[3,4,2,5,6,8,1,7]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>[3,4,2,5,6,1,7,8]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]=>[4,5,3,6,7,2,8,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,7,5]=>[4,5,3,6,8,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,6,8,5]=>[4,5,3,6,8,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,2,4,8,6,7,5]=>[4,5,3,6,8,1,7,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[5,6,4,7,8,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[3,4,2,5,1,6,7,8]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[4,5,3,6,2,7,1,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[4,5,3,6,2,8,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[3,4,2,7,1,5,6,8]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[3,4,2,8,1,5,6,7]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]=>[4,5,3,7,2,6,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]=>[4,5,3,8,2,6,1,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,7,6,4]=>[5,6,4,8,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>[4,5,3,7,2,1,6,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,5,7,8,4]=>[4,5,3,8,2,1,6,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,8,5,7,6,4]=>[5,6,4,8,2,7,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,6,5,4,8]=>[5,6,4,7,3,2,1,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]=>[5,6,4,8,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,8,6,5,7,4]=>[5,6,4,8,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[6,7,5,8,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[3,5,2,4,6,7,8,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>[3,5,2,4,6,8,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,8,7,6]=>[4,6,3,5,7,8,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]=>[4,6,3,5,7,2,8,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[3,5,2,4,7,1,6,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[3,5,2,4,8,1,6,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,6,8,7,5]=>[4,6,3,5,8,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>[4,6,3,5,8,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,2,8,6,7,5]=>[4,6,3,5,8,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[5,7,4,6,8,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[2,5,1,3,4,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]=>[3,6,2,4,5,7,1,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[4,7,3,5,6,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]=>[2,6,1,3,4,5,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[2,7,1,3,4,5,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[2,8,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,7,2]=>[3,8,2,4,5,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,5,7,6,2,8]=>[3,7,2,4,5,6,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,8,6,7,2]=>[3,8,2,4,5,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>[4,8,3,5,6,7,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,5,7,2,8]=>[3,7,2,4,5,1,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,6,5,7,8,2]=>[3,8,2,4,5,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,8,5,6,7,2]=>[3,8,2,4,1,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,8,6,5,7,2]=>[4,8,3,5,6,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,8,6,7,5,2]=>[4,8,3,5,7,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8]=>[3,5,2,4,1,6,7,8]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,5,4,2,6,8,7]=>[4,6,3,5,2,7,8,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,8]=>[4,6,3,5,2,7,1,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,4,2,7,8,6]=>[4,6,3,5,2,8,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,5,4,6,2,7,8]=>[3,6,2,4,1,5,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>[4,7,3,5,2,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]=>[4,8,3,5,2,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,6,4,5,7,2,8]=>[3,7,2,1,5,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,6,4,5,7,8,2]=>[3,8,2,1,5,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,4,5,8,7,2]=>[4,8,3,2,6,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,8,4,5,6,7,2]=>[3,8,2,1,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,8,4,6,5,7,2]=>[4,8,3,2,6,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,8,4,6,7,5,2]=>[4,8,3,2,7,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,5,4,7,2,8]=>[4,7,3,5,2,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,5,4,8,7,2]=>[5,8,4,6,3,2,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,8,5,4,6,7,2]=>[4,8,3,5,1,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,8,5,6,7,4,2]=>[4,8,3,7,1,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,8,5,7,6,4,2]=>[5,8,4,7,2,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,6,5,4,2,8]=>[5,7,4,6,3,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,8,6,5,7,4,2]=>[5,8,4,7,3,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,8,7,5,6,4,2]=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>[6,8,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]=>[4,5,3,2,6,7,8,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>[4,5,3,2,7,1,6,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>[4,5,3,2,8,1,6,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,4,3,2,6,8,7,5]=>[5,6,4,3,8,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[5,6,4,3,7,2,1,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[6,7,5,4,8,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,3,5,2,6,7,8]=>[3,5,2,1,4,6,7,8]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,3,5,2,8,7,6]=>[5,7,4,3,6,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,2]=>[3,8,2,1,4,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,7,6,2,8]=>[4,7,3,2,5,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,3,5,8,6,7,2]=>[4,8,3,2,5,1,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]=>[5,8,4,3,6,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>[4,6,3,2,5,1,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>[4,7,3,2,5,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]=>[4,8,3,2,5,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[5,8,4,3,6,2,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,8,5,6,7,2]=>[4,8,3,2,1,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,8,5,7,6,2]=>[5,8,4,3,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,3,8,6,5,7,2]=>[5,8,4,3,6,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,8,6,7,5,2]=>[5,8,4,3,7,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[6,8,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,5,3,4,2,6,7,8]=>[3,5,1,4,2,6,7,8]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,5,3,4,2,7,8,6]=>[4,6,2,5,3,8,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,5,3,4,2,8,7,6]=>[5,7,3,6,4,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,5,3,4,7,6,2,8]=>[4,7,2,5,3,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,6,3,4,5,8,7,2]=>[4,8,2,3,6,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,7,3,4,5,6,2,8]=>[3,7,1,2,4,6,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,7,3,4,5,6,8,2]=>[3,8,1,2,4,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,8,3,4,5,6,7,2]=>[3,8,1,2,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,8,3,4,6,7,5,2]=>[4,8,2,3,7,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,6,3,5,4,2,7,8]=>[4,6,2,5,3,1,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,8,3,5,4,6,7,2]=>[4,8,2,5,1,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,8,3,5,6,7,4,2]=>[4,8,2,7,1,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,8,3,5,7,6,4,2]=>[5,8,3,7,2,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,7,3,6,5,4,2,8]=>[5,7,3,6,4,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,7,3,6,5,4,8,2]=>[5,8,3,6,4,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,8,3,6,5,4,7,2]=>[5,8,3,6,4,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,8,3,7,5,6,4,2]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,8,3,7,6,5,4,2]=>[6,8,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]=>[4,5,3,2,1,6,7,8]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,4,3,2,7,6,8]=>[5,6,4,3,2,7,1,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]=>[5,6,4,3,2,8,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]=>[6,7,5,4,3,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,5,4,3,6,7,2,8]=>[4,7,3,2,1,5,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>[4,8,3,2,1,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]=>[5,8,4,3,2,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,4,3,8,7,6,2]=>[6,8,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,6,4,3,5,2,7,8]=>[4,6,3,1,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,8,4,3,5,6,7,2]=>[4,8,3,1,2,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,8,4,3,5,7,6,2]=>[5,8,4,2,3,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,8,4,3,6,7,5,2]=>[5,8,4,2,7,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,7,4,5,6,3,2,8]=>[4,7,6,1,2,5,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,8,4,5,6,3,7,2]=>[4,8,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,8,4,5,6,7,3,2]=>[4,8,7,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,7,4,6,5,3,2,8]=>[5,7,6,2,4,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,8,4,6,5,3,7,2]=>[5,8,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,8,4,6,5,7,3,2]=>[5,8,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,8,4,7,6,5,3,2]=>[6,8,7,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,5,4,3,2,7,8]=>[5,6,4,3,2,1,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,6,5,4,3,2,8,7]=>[6,7,5,4,3,2,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,5,4,3,7,8,2]=>[5,8,4,3,2,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>[6,8,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,8,5,4,3,7,6,2]=>[6,8,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,8,5,4,6,3,7,2]=>[5,8,6,3,1,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,8,5,4,7,6,3,2]=>[6,8,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,7,6,4,5,3,2,8]=>[5,7,6,1,4,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,8,6,4,5,7,3,2]=>[5,8,7,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,8,7,4,5,6,3,2]=>[5,8,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,8,7,4,6,5,3,2]=>[6,8,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,6,5,4,3,2,8]=>[6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,6,5,4,3,8,2]=>[6,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,8,6,5,4,3,7,2]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,8,7,5,6,4,3,2]=>[6,8,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[3,2,4,5,6,7,8,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[3,2,4,5,6,7,1,8]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,7,8,6]=>[3,2,4,5,6,8,1,7]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,8,7,6]=>[4,3,5,6,7,8,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[3,2,4,5,6,1,7,8]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[3,2,4,5,8,1,6,7]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,8,6,7,5]=>[4,3,5,6,8,1,7,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[5,4,6,7,8,3,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8]=>[3,2,4,5,1,6,7,8]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[4,3,5,6,2,7,8,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,3,5,4,7,8,6]=>[4,3,5,6,2,8,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]=>[5,4,6,7,3,8,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,3,5,6,4,8,7]=>[4,3,5,7,2,6,8,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[3,2,4,8,1,5,6,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,3,5,8,6,7,4]=>[4,3,5,8,2,1,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,8,5,6,7,4]=>[4,3,5,8,1,2,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,8,5,7,6,4]=>[5,4,6,8,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,3,8,6,5,7,4]=>[5,4,6,8,3,1,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>[6,5,7,8,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>[4,3,5,2,6,7,8,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]=>[4,3,5,2,6,8,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[4,3,5,2,6,1,7,8]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[5,4,6,3,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]=>[4,3,5,2,7,1,6,8]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[4,3,5,2,8,1,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[5,4,6,3,8,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>[5,4,6,3,8,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,8,6,7,5]=>[5,4,6,3,8,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[6,5,7,4,8,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]=>[3,2,5,1,4,6,7,8]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]=>[4,3,6,2,5,7,8,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,4,5,3,8,7,6]=>[5,4,7,3,6,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[4,3,7,2,5,6,8,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[3,2,8,1,4,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,7,3]=>[4,3,8,2,5,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,8,6,7,3]=>[4,3,8,2,5,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]=>[4,3,6,2,5,1,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[5,4,7,3,6,2,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>[5,4,8,3,6,2,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,8,5,6,7,3]=>[4,3,8,2,1,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,8,5,7,6,3]=>[5,4,8,3,2,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,4,7,6,5,8,3]=>[5,4,8,3,6,2,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,4,8,6,5,7,3]=>[5,4,8,3,6,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,4,8,6,7,5,3]=>[5,4,8,3,7,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>[6,5,8,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]=>[4,3,5,2,1,6,7,8]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>[5,4,6,3,2,7,8,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,5,4,3,7,6,8]=>[5,4,6,3,2,7,1,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>[5,4,7,3,2,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,4,6,7,3,8]=>[4,3,7,2,1,5,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,4,6,7,8,3]=>[4,3,8,2,1,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,4,6,8,7,3]=>[5,4,8,3,2,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>[5,4,8,3,2,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,4,8,6,7,3]=>[5,4,8,3,2,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,6,4,5,3,8,7]=>[5,4,7,2,6,3,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,6,4,5,7,8,3]=>[4,3,8,1,5,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,6,4,5,8,7,3]=>[5,4,8,2,6,3,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,8,4,5,6,7,3]=>[4,3,8,1,2,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,8,4,6,5,7,3]=>[5,4,8,2,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,8,4,6,7,5,3]=>[5,4,8,2,7,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,8,4,7,6,5,3]=>[6,5,8,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[6,5,7,4,3,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,6,5,4,8,7,3]=>[6,5,8,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,8,5,4,7,6,3]=>[6,5,8,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,8,5,6,4,7,3]=>[5,4,8,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,8,5,6,7,4,3]=>[5,4,8,7,1,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,8,5,7,6,4,3]=>[6,5,8,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,7,6,5,4,3,8]=>[6,5,7,4,3,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,7,6,5,4,8,3]=>[6,5,8,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,8,6,5,4,7,3]=>[6,5,8,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,8,6,5,7,4,3]=>[6,5,8,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,8,7,5,6,4,3]=>[6,5,8,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[7,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]=>[4,2,3,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]=>[4,2,3,5,6,7,1,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[4,2,3,5,6,8,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[4,2,3,5,8,1,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[5,3,4,6,8,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[6,4,5,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[4,2,3,5,1,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[5,3,4,6,2,7,1,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[4,2,3,8,1,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,6,8,4]=>[5,3,4,8,2,6,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,6,5,4,8,7]=>[6,4,5,7,3,2,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>[5,3,4,7,2,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]=>[6,4,5,8,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,7,5,6,4,8]=>[5,3,4,7,1,6,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,8,5,6,7,4]=>[5,3,4,8,1,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,8,6,7,5,4]=>[6,4,5,8,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>[7,5,6,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[5,2,3,4,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[5,2,3,4,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[5,2,3,4,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>[6,3,4,5,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[5,2,3,4,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[6,3,4,5,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[5,2,3,4,7,1,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[5,2,3,4,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[6,3,4,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>[6,3,4,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,8,6,7,5]=>[6,3,4,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[7,4,5,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[6,2,3,4,5,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[6,2,3,4,5,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[6,2,3,4,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>[7,3,4,5,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[6,1,2,3,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,6,1,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,8,6,7,1]=>[8,2,3,4,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>[8,3,4,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,5,1,7,8]=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,5,7,1,8]=>[7,2,3,4,5,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[8,2,3,4,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,5,8,7,1]=>[8,3,4,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,7,5,6,1,8]=>[7,2,3,4,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,8,5,6,7,1]=>[8,2,3,4,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,8,5,7,6,1]=>[8,3,4,5,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>[7,3,4,5,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>[8,3,4,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,8,6,5,7,1]=>[8,3,4,5,6,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,8,6,7,5,1]=>[8,3,4,5,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>[8,4,5,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,5,4,1,6,8,7]=>[6,3,4,5,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]=>[6,3,4,5,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>[7,4,5,6,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,5,4,6,7,1,8]=>[7,2,3,4,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>[8,2,3,4,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,4,8,6,7,1]=>[8,3,4,5,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,6,4,5,1,7,8]=>[6,2,3,1,5,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,6,4,5,1,8,7]=>[7,3,4,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,4,5,8,7,1]=>[8,3,4,2,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,7,4,5,6,8,1]=>[8,2,3,1,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,8,4,5,6,7,1]=>[8,2,3,1,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,5,4,1,7,8]=>[6,3,4,5,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>[7,4,5,6,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>[8,3,4,5,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,7,5,6,4,8,1]=>[8,3,4,6,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,8,5,6,7,4,1]=>[8,3,4,7,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,8,5,7,6,4,1]=>[8,4,5,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>[7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[8,4,5,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,8,6,5,4,7,1]=>[8,4,5,6,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>[8,5,6,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[6,4,5,3,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[6,4,5,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[6,4,5,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,3,1,8,6,7,5]=>[6,4,5,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[7,5,6,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>[5,2,3,1,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,7,1,8]=>[7,2,3,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>[8,2,3,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>[8,3,4,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,7,6,8,1]=>[8,3,4,2,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7]=>[7,4,5,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[8,4,5,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,3,7,5,6,8,1]=>[8,3,4,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,8,5,7,6,1]=>[8,4,5,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>[8,4,5,3,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,4,3,8,6,5,7,1]=>[8,4,5,3,6,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>[8,5,6,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,5,3,4,1,6,7,8]=>[5,2,1,4,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,5,3,4,6,7,1,8]=>[7,2,1,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,6,3,4,5,8,7,1]=>[8,3,2,4,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,8,3,4,5,6,7,1]=>[8,2,1,3,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,6,3,5,4,1,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,6,3,5,4,1,8,7]=>[7,4,3,6,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,6,3,5,4,7,8,1]=>[8,3,2,5,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,7,3,5,4,6,8,1]=>[8,3,2,5,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,7,3,5,6,4,8,1]=>[8,3,2,6,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,7,3,6,5,4,1,8]=>[7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,8,3,7,5,6,4,1]=>[8,4,3,7,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,8,3,7,6,5,4,1]=>[8,5,4,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,4,3,1,7,8,6]=>[6,4,5,3,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,4,3,1,8,7,6]=>[7,5,6,4,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]=>[8,3,4,2,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>[8,4,5,3,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,8,6,7,1]=>[8,4,5,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,6,4,3,5,8,7,1]=>[8,4,5,2,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,8,4,3,5,6,7,1]=>[8,3,4,1,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,7,4,3,6,5,8,1]=>[8,4,5,2,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,8,4,3,6,5,7,1]=>[8,4,5,2,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,6,4,5,3,8,7,1]=>[8,4,6,2,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,8,4,5,3,6,7,1]=>[8,3,5,1,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,7,4,5,6,3,1,8]=>[7,3,6,1,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,8,4,5,6,3,7,1]=>[8,3,6,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,8,4,5,6,7,3,1]=>[8,3,7,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,7,4,6,5,3,1,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,8,4,7,6,5,3,1]=>[8,5,7,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,6,5,4,3,1,8,7]=>[7,5,6,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>[8,4,5,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,6,5,4,3,8,7,1]=>[8,5,6,4,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,7,5,4,3,6,8,1]=>[8,4,5,3,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,7,5,4,6,3,8,1]=>[8,4,6,3,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,8,5,4,6,7,3,1]=>[8,4,7,3,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,8,5,4,7,6,3,1]=>[8,5,7,4,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,8,7,4,5,6,3,1]=>[8,4,7,1,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,8,7,4,6,5,3,1]=>[8,5,7,2,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,6,5,4,3,1,8]=>[7,5,6,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,7,6,5,4,3,8,1]=>[8,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,8,7,5,4,6,3,1]=>[8,5,7,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,8,7,5,6,4,3,1]=>[8,5,7,6,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>[8,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,8,7]=>[4,3,2,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,5,7,6,8]=>[4,3,2,5,6,7,1,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>[4,3,2,5,6,8,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[5,4,3,6,7,8,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>[4,3,2,5,8,1,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>[5,4,3,6,8,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[5,4,3,6,7,2,1,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,8,6,7,5]=>[5,4,3,6,8,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[6,5,4,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8]=>[4,3,2,5,1,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[5,4,3,6,2,7,1,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>[4,3,2,6,1,5,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,5,6,7,4,8]=>[4,3,2,7,1,5,6,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>[4,3,2,8,1,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>[5,4,3,8,2,6,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]=>[5,4,3,7,2,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,8,6,7,4]=>[5,4,3,8,2,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>[6,5,4,8,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,2,1,6,5,4,7,8]=>[5,4,3,6,2,1,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,2,1,6,5,7,4,8]=>[5,4,3,7,2,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>[5,4,3,8,2,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[6,5,4,8,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,8,5,6,7,4]=>[5,4,3,8,1,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,2,1,8,5,7,6,4]=>[6,5,4,8,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,7,6,5,4,8]=>[6,5,4,7,3,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,1,7,6,5,8,4]=>[6,5,4,8,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,8,6,7,5,4]=>[6,5,4,8,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[7,6,5,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]=>[5,3,2,4,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>[5,3,2,4,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>[5,3,2,4,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>[6,4,3,5,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,2,4,1,6,7,5,8]=>[5,3,2,4,7,1,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>[5,3,2,4,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[6,4,3,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>[6,4,3,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,8,6,7,5]=>[6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[7,5,4,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>[5,2,1,3,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,6,1,7,8]=>[6,2,1,3,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,1,8]=>[7,2,1,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>[8,2,1,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,8,7,1]=>[8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,7,6,8,1]=>[8,3,2,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,2,4,6,5,8,7,1]=>[8,4,3,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]=>[8,4,3,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,8,6,7,5,1]=>[8,4,3,5,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,2,4,8,7,6,5,1]=>[8,5,4,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]=>[6,4,3,5,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>[7,5,4,6,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>[7,4,3,5,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[7,4,3,5,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[8,4,3,5,2,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,4,8,6,7,1]=>[8,4,3,5,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,2,6,4,5,1,7,8]=>[6,3,2,1,5,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,6,4,5,1,8,7]=>[7,4,3,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,2,6,4,5,7,1,8]=>[7,3,2,1,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,7,4,5,6,1,8]=>[7,3,2,1,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,8,4,5,6,7,1]=>[8,3,2,1,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,7,4,6,5,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,2,6,5,4,7,1,8]=>[7,4,3,5,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,2,6,5,4,8,7,1]=>[8,5,4,6,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,2,7,5,4,6,1,8]=>[7,4,3,5,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,7,5,6,4,8,1]=>[8,4,3,6,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,8,5,7,6,4,1]=>[8,5,4,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>[7,5,4,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,8,7,5,6,4,1]=>[8,5,4,7,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>[8,6,5,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,2,3,1,5,7,6,8]=>[5,2,4,3,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,2,3,1,5,7,8,6]=>[5,2,4,3,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,2,3,1,5,8,7,6]=>[6,3,5,4,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,3,1,6,5,7,8]=>[5,2,4,3,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,3,1,6,5,8,7]=>[6,3,5,4,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,3,1,6,7,8,5]=>[5,2,4,3,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,3,1,6,8,7,5]=>[6,3,5,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,2,3,1,7,6,5,8]=>[6,3,5,4,7,2,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,2,3,1,7,6,8,5]=>[6,3,5,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,2,3,1,8,6,7,5]=>[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,2,3,1,8,7,6,5]=>[7,4,6,5,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,2,3,5,1,6,7,8]=>[5,1,3,2,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,2,3,5,1,8,7,6]=>[7,3,5,4,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,7,1,8]=>[7,1,3,2,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,1]=>[8,1,3,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,2,3,5,8,7,6,1]=>[8,3,5,4,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,3,6,5,1,8,7]=>[7,3,5,4,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,3,7,5,6,1,8]=>[7,2,4,3,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,3,7,5,6,8,1]=>[8,2,4,3,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,3,8,5,7,6,1]=>[8,3,5,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,2,3,8,6,7,5,1]=>[8,3,5,4,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8]=>[5,1,2,4,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[5,2,3,4,1,6,8,7]=>[6,2,3,5,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[5,2,3,4,1,7,8,6]=>[6,2,3,5,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[5,2,3,4,6,1,7,8]=>[6,1,2,4,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[5,2,3,4,6,7,1,8]=>[7,1,2,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[5,2,3,4,6,7,8,1]=>[8,1,2,4,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[5,2,3,4,7,6,1,8]=>[7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,2,3,4,8,6,7,1]=>[8,2,3,5,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[6,2,3,4,5,1,7,8]=>[6,1,2,3,5,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[6,2,3,4,5,7,1,8]=>[7,1,2,3,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,1]=>[8,1,2,3,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,2,3,4,5,6,1,8]=>[7,1,2,3,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,2,3,4,5,6,8,1]=>[8,1,2,3,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,2,3,4,5,6,7,1]=>[8,1,2,3,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[8,2,3,4,5,7,6,1]=>[8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,2,3,4,6,5,1,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[8,2,3,4,7,6,5,1]=>[8,3,4,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,2,3,5,4,1,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[6,2,3,5,4,7,1,8]=>[7,2,3,5,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[8,2,3,5,7,6,4,1]=>[8,3,4,7,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,6,5,4,1,8]=>[7,3,4,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[8,2,3,6,5,4,7,1]=>[8,3,4,6,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[8,2,3,7,5,6,4,1]=>[8,3,4,7,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[8,2,3,7,6,5,4,1]=>[8,4,5,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,2,4,3,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,2,4,3,1,6,8,7]=>[6,3,5,4,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,2,4,3,1,7,6,8]=>[6,3,5,4,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,2,4,3,6,1,7,8]=>[6,2,4,3,1,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[5,2,4,3,7,6,1,8]=>[7,3,5,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,2,4,3,5,1,8,7]=>[7,3,5,2,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,2,4,3,6,5,1,8]=>[7,3,5,2,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[8,2,4,3,6,5,7,1]=>[8,3,5,2,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[8,2,4,3,6,7,5,1]=>[8,3,5,2,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[8,2,4,3,7,6,5,1]=>[8,4,6,3,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,2,4,5,3,1,8,7]=>[7,3,6,2,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,2,4,5,3,6,1,8]=>[7,2,5,1,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[8,2,4,5,3,7,6,1]=>[8,3,6,2,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[8,2,4,5,6,7,3,1]=>[8,2,7,1,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,4,6,5,3,1,8]=>[7,3,6,2,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[7,2,4,6,5,3,8,1]=>[8,3,6,2,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[8,2,4,7,5,6,3,1]=>[8,3,7,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[8,2,4,7,6,5,3,1]=>[8,4,7,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,2,5,4,3,1,8,7]=>[7,4,6,5,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[6,2,5,4,3,7,1,8]=>[7,3,5,4,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,2,5,4,3,7,8,1]=>[8,3,5,4,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,2,5,4,3,6,1,8]=>[7,3,5,4,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[8,2,5,4,3,7,6,1]=>[8,4,6,5,2,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,2,5,4,6,3,8,1]=>[8,3,6,4,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[8,2,5,4,7,6,3,1]=>[8,4,7,5,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,6,4,5,3,1,8]=>[7,3,6,1,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,2,6,4,5,3,8,1]=>[8,3,6,1,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[8,2,7,4,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,6,5,4,3,8,1]=>[8,4,6,5,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[8,2,6,5,4,3,7,1]=>[8,4,6,5,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[8,2,7,5,4,6,3,1]=>[8,4,7,5,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[8,2,7,6,5,4,3,1]=>[8,5,7,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[5,4,3,2,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>[5,4,3,2,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[5,4,3,2,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>[6,5,4,3,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[5,4,3,2,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[6,5,4,3,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>[5,4,3,2,7,1,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[5,4,3,2,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[6,5,4,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>[6,5,4,3,7,2,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[6,5,4,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,8,6,7,5]=>[6,5,4,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[7,6,5,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>[5,3,2,1,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,3,2,5,1,7,8,6]=>[6,4,3,2,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>[7,5,4,3,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,3,2,5,6,1,7,8]=>[6,3,2,1,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,3,2,5,6,1,8,7]=>[7,4,3,2,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,7,1,8]=>[7,3,2,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>[8,3,2,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>[8,5,4,3,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,3,2,6,5,1,8,7]=>[7,5,4,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,3,2,6,5,8,7,1]=>[8,5,4,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,7,5,6,8,1]=>[8,4,3,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,8,5,6,7,1]=>[8,4,3,2,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,8,5,7,6,1]=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[8,6,5,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,3,2,4,1,6,7,8]=>[5,3,1,4,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[5,3,2,4,1,7,6,8]=>[6,4,2,5,3,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,3,2,4,1,8,7,6]=>[7,5,3,6,4,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[5,3,2,4,7,6,1,8]=>[7,4,2,5,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[6,3,2,4,5,7,1,8]=>[7,3,1,2,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[7,3,2,4,5,6,8,1]=>[8,3,1,2,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[8,3,2,4,5,6,7,1]=>[8,3,1,2,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[8,3,2,4,6,7,5,1]=>[8,4,2,3,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[8,3,2,4,7,6,5,1]=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[6,3,2,5,4,1,7,8]=>[6,4,2,5,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7]=>[7,5,3,6,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[6,3,2,5,4,7,1,8]=>[7,4,2,5,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[6,3,2,5,4,7,8,1]=>[8,4,2,5,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[7,3,2,5,4,6,1,8]=>[7,4,2,5,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[8,3,2,5,4,7,6,1]=>[8,5,3,6,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[7,3,2,5,6,4,8,1]=>[8,4,2,6,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[8,3,2,5,6,7,4,1]=>[8,4,2,7,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[8,3,2,5,7,6,4,1]=>[8,5,3,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[8,3,2,6,5,7,4,1]=>[8,5,3,7,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[8,3,2,7,5,6,4,1]=>[8,5,3,7,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[8,3,2,7,6,5,4,1]=>[8,6,4,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,3,4,2,1,6,7,8]=>[5,4,1,3,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,3,4,2,1,6,8,7]=>[6,5,2,4,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[5,3,4,2,6,1,8,7]=>[7,5,2,4,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[5,3,4,2,6,7,8,1]=>[8,4,1,3,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[5,3,4,2,7,6,8,1]=>[8,5,2,4,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[5,3,4,2,8,6,7,1]=>[8,5,2,4,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[8,3,4,2,6,5,7,1]=>[8,5,2,3,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[6,3,4,5,2,1,8,7]=>[7,6,2,3,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[6,3,4,5,2,7,1,8]=>[7,5,1,2,4,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[6,3,4,5,2,7,8,1]=>[8,5,1,2,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1,8]=>[7,6,1,2,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,3,4,5,6,2,8,1]=>[8,6,1,2,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[8,3,4,5,6,2,7,1]=>[8,6,1,2,3,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[8,3,4,5,6,7,2,1]=>[8,7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[7,3,4,6,5,2,1,8]=>[7,6,2,3,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[8,3,4,7,6,5,2,1]=>[8,7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,3,5,4,2,1,8,7]=>[7,6,3,5,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[6,3,5,4,2,7,1,8]=>[7,5,2,4,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[6,3,5,4,2,7,8,1]=>[8,5,2,4,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[6,3,5,4,2,8,7,1]=>[8,6,3,5,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[8,3,5,4,2,6,7,1]=>[8,5,2,4,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[8,3,5,4,2,7,6,1]=>[8,6,3,5,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[7,3,5,4,6,2,8,1]=>[8,6,2,4,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[8,3,5,4,6,7,2,1]=>[8,7,2,4,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[7,3,6,4,5,2,1,8]=>[7,6,2,1,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,6,4,5,2,8,1]=>[8,6,2,1,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[8,3,6,4,5,7,2,1]=>[8,7,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[8,3,7,4,5,6,2,1]=>[8,7,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,3,6,5,4,2,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[8,3,6,5,4,2,7,1]=>[8,6,3,5,4,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[8,3,6,5,4,7,2,1]=>[8,7,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[8,3,7,5,4,6,2,1]=>[8,7,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[8,3,7,5,6,4,2,1]=>[8,7,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[8,3,7,6,5,4,2,1]=>[8,7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>[6,5,4,3,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>[6,5,4,3,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[6,5,4,3,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[7,6,5,4,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>[6,4,3,2,1,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[7,5,4,3,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[7,4,3,2,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[8,4,3,2,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>[8,5,4,3,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]=>[8,5,4,3,2,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,8,6,7,1]=>[8,5,4,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[8,6,5,4,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[6,4,3,2,5,1,7,8]=>[6,4,3,1,5,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,4,3,2,5,1,8,7]=>[7,5,4,2,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[6,4,3,2,5,8,7,1]=>[8,5,4,2,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[7,4,3,2,5,6,8,1]=>[8,4,3,1,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[8,4,3,2,5,6,7,1]=>[8,4,3,1,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[8,4,3,2,5,7,6,1]=>[8,5,4,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[7,4,3,2,6,5,8,1]=>[8,5,4,2,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[8,4,3,2,6,5,7,1]=>[8,5,4,2,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[8,4,3,2,7,6,5,1]=>[8,6,5,3,7,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[8,4,3,5,2,7,6,1]=>[8,6,4,2,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[8,4,3,5,6,2,7,1]=>[8,6,3,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[8,4,3,5,6,7,2,1]=>[8,7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,4,3,6,5,2,1,8]=>[7,6,4,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[8,4,3,7,5,6,2,1]=>[8,7,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[8,4,3,7,6,5,2,1]=>[8,7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,5,3,4,2,1,7,8]=>[6,5,1,4,3,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[7,5,3,4,2,6,1,8]=>[7,5,1,4,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[8,5,3,4,2,6,7,1]=>[8,5,1,4,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[7,5,3,4,6,2,8,1]=>[8,6,1,4,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,6,3,4,5,2,1,8]=>[7,6,1,2,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[7,6,3,4,5,2,8,1]=>[8,6,1,2,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[8,6,3,4,5,2,7,1]=>[8,6,1,2,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[8,7,3,4,5,6,2,1]=>[8,7,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[8,7,3,4,6,5,2,1]=>[8,7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,6,3,5,4,2,1,8]=>[7,6,2,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[8,6,3,5,4,2,7,1]=>[8,6,2,5,4,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[8,7,3,5,4,6,2,1]=>[8,7,2,5,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[8,7,3,5,6,4,2,1]=>[8,7,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[8,7,3,6,5,4,2,1]=>[8,7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,5,4,3,2,7,1,8]=>[7,5,4,3,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>[8,6,5,4,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[8,5,4,3,2,7,6,1]=>[8,6,5,4,2,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,5,4,3,6,2,1,8]=>[7,6,4,3,1,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,6,4,3,5,2,8,1]=>[8,6,4,1,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[8,6,4,3,5,2,7,1]=>[8,6,4,1,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[8,6,4,3,5,7,2,1]=>[8,7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[8,7,4,3,5,6,2,1]=>[8,7,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[8,7,4,3,6,5,2,1]=>[8,7,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,6,4,5,3,2,1,8]=>[7,6,5,1,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,6,4,5,3,2,8,1]=>[8,6,5,1,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[8,6,4,5,3,7,2,1]=>[8,7,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[8,7,4,5,3,6,2,1]=>[8,7,5,1,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[8,7,4,5,6,3,2,1]=>[8,7,6,1,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[8,7,4,6,5,3,2,1]=>[8,7,6,2,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[8,6,5,4,3,2,7,1]=>[8,6,5,4,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[8,6,5,4,3,7,2,1]=>[8,7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[8,7,5,4,3,6,2,1]=>[8,7,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[8,7,5,4,6,3,2,1]=>[8,7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8,7,6,4,5,3,2,1]=>[8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,8,7,6,5,4,3,2]=>[8,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,9,8,7,6,5,4,3,2]=>[9,10,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,8,7,6,5,4,3,2]=>[10,11,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,6,5,4,3,2,8,1,9]=>[8,6,5,4,3,2,1,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,7,6,5,4,3,1,9]=>[8,6,7,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,6,5,4,3,2,1,9,8]=>[8,7,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,8,7,6,5,4,3]=>[8,7,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,9,8,7,6,5,4,2]=>[7,9,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,8,7,6,5,4,3,2,9]=>[7,8,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,9,8,7,6,5,4,3]=>[7,8,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[8,7,6,5,4,3,2,9,1,10]=>[9,7,6,5,4,3,2,1,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]=>[9,8,7,6,5,4,3,2,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]=>[9,8,10,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,9,8,7,6,5,4,3,2,10]=>[8,9,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,10,9,8,7,6,5,4,3]=>[8,9,10,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] []=>[]=>[]=>[] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[9,1,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,8,1]=>[9,2,3,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,6,8,7,9,1]=>[9,2,3,4,5,6,7,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,9,7,8,1]=>[9,2,3,4,5,6,1,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,9,8,7,1]=>[9,3,4,5,6,7,8,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,5,7,6,8,9,1]=>[9,2,3,4,5,6,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,5,9,6,8,7,1]=>[9,3,4,5,6,2,8,7,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,5,8,7,6,9,1]=>[9,3,4,5,6,7,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,9,1]=>[9,2,3,4,5,1,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,9,8,7,6,5,4,1]=>[9,6,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,9,1]=>[9,2,3,1,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,8,7,6,5,4,3,9,1]=>[9,6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,8,7,6,5,4,3,1]=>[9,7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,1]=>[9,2,1,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,9,1]=>[9,1,3,2,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,2,3,4,5,6,7,9,1]=>[9,1,2,3,4,5,7,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,2,3,4,5,6,7,8,1]=>[9,1,2,3,4,5,6,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[9,8,3,7,6,5,4,2,1]=>[9,8,4,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,9,1]=>[9,5,4,3,2,1,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,9,1]=>[9,6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,6,5,4,3,2,9,8,1]=>[9,7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[9,7,6,5,4,3,2,8,1]=>[9,7,6,5,4,3,1,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[9,8,7,5,6,4,3,2,1]=>[9,8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,8,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[2,3,4,5,6,7,9,1,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]=>[2,3,4,5,6,9,1,7,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]=>[2,3,4,5,9,1,6,7,8]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]=>[2,3,4,9,1,5,6,7,8]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]=>[2,3,9,1,4,5,6,7,8]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[2,9,1,3,4,5,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[2,3,4,5,6,7,8,9,10,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,8,7]=>[3,4,5,6,7,8,9,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[2,3,4,5,6,7,8,10,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[2,3,4,5,6,7,10,1,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[2,3,4,5,6,10,1,7,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[2,3,4,5,10,1,6,7,8,9]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[2,3,4,10,1,5,6,7,8,9]=>[1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,9,2]=>[3,9,2,1,4,5,6,7,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[2,3,10,1,4,5,6,7,8,9]=>[1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[2,10,1,3,4,5,6,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[10,1,2,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>[2,3,4,5,6,7,8,9,10,11,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,9,8]=>[3,4,5,6,7,8,9,10,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,8,10,11,9]=>[2,3,4,5,6,7,8,9,11,1,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,9,7,8,6]=>[3,4,5,6,7,9,1,8,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,8,7,6]=>[4,5,6,7,8,9,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>[10,2,1,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,2]=>[2,11,1,3,4,5,6,7,8,9,10]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,8,11,10,9]=>[3,4,5,6,7,8,9,10,11,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,6,10,8,9,7]=>[3,4,5,6,7,8,10,1,9,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,6,10,9,8,7]=>[4,5,6,7,8,9,10,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,11,1]=>[11,2,1,3,4,5,6,7,8,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,12,2]=>[2,12,1,3,4,5,6,7,8,9,10,11]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]=>[5,6,7,8,9,10,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,9,10,1]=>[10,1,2,3,5,4,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,9,8,7,6,5,4]=>[6,7,8,9,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,10,9,8,7,6,5]=>[6,7,8,9,10,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]=>[2,3,4,5,6,7,8,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9]=>[2,3,4,5,6,7,1,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]=>[3,4,5,6,7,8,2,9,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,8,7,9]=>[4,5,6,3,7,2,8,1,9]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[3,4,2,5,6,7,8,9,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8,9]=>[3,4,2,5,1,6,7,8,9]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[5,6,4,7,3,8,2,9,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8,9]=>[3,4,2,1,5,6,7,8,9]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,7,6,5,4,3,2,9,8]=>[7,8,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]=>[3,2,4,5,6,7,8,9,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,8,7,9]=>[3,2,4,5,6,7,8,1,9]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9]=>[4,3,5,2,6,1,7,8,9]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[5,4,6,3,7,2,8,1,9]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,8,7,6,5,4,3,9]=>[7,6,8,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8,9]=>[4,3,2,5,1,6,7,8,9]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0] [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,1,9,8,7,6,5,4]=>[8,7,6,9,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[4,3,2,1,6,5,7,8,9]=>[5,4,3,2,6,1,7,8,9]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0] [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,3,2,1,9,8,7,6,5]=>[8,7,6,5,9,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[5,4,3,2,1,7,6,8,9]=>[6,5,4,3,2,7,1,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,4,3,2,1,8,7,6,9]=>[7,6,5,4,3,8,2,1,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4,3,2,1,9,8,7,6]=>[8,7,6,5,4,9,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[6,5,4,3,2,1,8,7,9]=>[7,6,5,4,3,2,8,1,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,5,4,3,2,1,9,8,7]=>[8,7,6,5,4,3,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[2,3,4,5,6,7,8,9,1,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,8,7,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,10,9,8,7,6,5,4]=>[7,8,9,10,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]=>[5,6,4,7,3,8,2,9,1,10]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]=>[3,2,4,5,6,7,8,9,10,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9,10]=>[4,3,5,2,6,1,7,8,9,10]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,9,10]=>[5,4,6,3,7,2,8,1,9,10]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>[6,5,7,4,8,3,9,2,10,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,1,10,9,8,7,6,5,4]=>[9,8,7,10,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]=>[9,8,7,6,10,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[5,4,3,2,1,9,8,7,6,10]=>[8,7,6,5,4,9,3,2,1,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1,10,9,8,7,6]=>[9,8,7,6,5,10,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[6,5,4,3,2,1,9,8,7,10]=>[8,7,6,5,4,3,9,2,1,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]=>[9,8,7,6,5,4,10,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[7,6,5,4,3,2,1,9,8,10]=>[8,7,6,5,4,3,2,9,1,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,6,5,4,3,2,1,10,9,8]=>[9,8,7,6,5,4,3,10,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>[7,1,2,3,4,5,6,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>[8,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,4,6,5,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,5,7,6,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,8,7,1,9]=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,1,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[9,1,2,3,4,5,6,7,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,7]=>[3,2,4,5,6,7,9,1,8]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,10,9,1]=>[10,2,3,4,5,6,7,8,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,6,8,9,7]=>[4,2,3,5,6,7,9,1,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,7,9,8]=>[4,2,3,5,6,7,8,9,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,2,3,4,5,6,7,1,9]=>[8,1,2,3,4,5,7,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,2,3,4,5,6,1,8,9]=>[7,1,2,3,4,6,5,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[6,2,3,4,5,1,7,8,9]=>[6,1,2,3,5,4,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8,9]=>[5,1,2,4,3,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8,9]=>[4,1,3,2,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,9,8,7,6,5,4,3,1]=>[10,8,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,4,8,7,6,5,3,2,1]=>[10,9,8,4,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,10,3,4,5,6,7,8,9,1]=>[10,2,1,3,4,5,6,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,1,9,8,7,6,5,4]=>[8,6,7,9,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8,9]=>[2,3,5,1,4,6,7,8,9]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8,9]=>[3,2,5,1,4,6,7,8,9]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,9,10,1]=>[10,2,3,4,5,1,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,8,1,9]=>[8,2,1,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,9,8,2]=>[3,9,2,4,5,6,7,8,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[8,2,3,4,5,6,7,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]=>[3,2,9,1,4,5,6,7,8]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,6,1,9,8,7]=>[8,3,4,5,6,7,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,7,10,9,8,1]=>[10,3,4,5,6,7,8,9,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,5,4,3,2,1,8,9,7]=>[7,6,5,4,3,2,9,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,4,5,7,6,8,9,10,1]=>[10,2,3,4,5,6,1,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,9,8,10]=>[6,4,5,7,3,8,2,9,1,10]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,10,8,9,1]=>[10,2,3,4,5,6,7,1,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,2,3,4,5,6,7,8,9,1]=>[10,1,2,3,4,5,6,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,9,11,10,1]=>[11,2,3,4,5,6,7,8,9,10,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,1,11,10,9,8,7,6,5,4,3]=>[10,9,11,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,2,3,4,5,6,7,8,1,10]=>[9,1,2,3,4,5,6,8,7,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,11,10,9,8,7,6,5,4,3,1]=>[11,9,10,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,9,8,6]=>[3,4,5,6,7,9,2,8,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,8,7,6,5,4,3,2,1,11,10]=>[10,9,8,7,6,5,4,3,2,11,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,9,4]=>[4,2,3,9,1,5,6,7,8]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,8,10,9,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,7,8,6,9]=>[2,3,4,5,6,8,1,7,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,2,9]=>[2,8,1,3,4,5,6,7,9]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,7,6,5,4,3,2,10,9,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,1,10,9]=>[9,2,3,4,5,6,7,8,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,6,1,8,9,7]=>[7,2,3,4,5,6,9,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1,10,11]=>[9,8,7,6,5,4,3,2,1,10,11]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9,10]=>[2,4,1,3,5,6,7,8,9,10]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,9,5]=>[5,2,3,4,9,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,6,5,4,3,9,8,2]=>[7,9,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,2,1,7,8,9,6]=>[6,5,4,3,2,9,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,2,8,7,6,5,4,1,9]=>[8,6,5,7,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,10,1]=>[10,7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>[5,6,4,7,3,8,2,10,1,9]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,7,9,8,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,9,1,11,10]=>[10,2,3,4,5,6,7,8,9,11,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,1,7,8,9,6]=>[6,2,3,4,5,9,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,7,8,10,9,1]=>[10,3,2,4,5,6,7,8,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,5,4,3,2,1,9,10,8]=>[8,7,6,5,4,3,2,10,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,5,8,10,9,7]=>[6,5,7,4,8,3,10,2,9,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3,8,10,9,7]=>[6,5,8,4,7,3,10,2,9,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,8,7,9]=>[4,6,3,5,7,2,8,1,9]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0]
Map
to non-crossing permutation
Description
Sends a Dyck path $D$ with valley at positions $\{(i_1,j_1),\ldots,(i_k,j_k)\}$ to the unique non-crossing permutation $\pi$ having descents $\{i_1,\ldots,i_k\}$ and whose inverse has descents $\{j_1,\ldots,j_k\}$.
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
Map
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.