Identifier
Mp00024: Dyck paths to 321-avoiding permutationPermutations
Mp00127: Permutations left-to-right-maxima to Dyck path Dyck paths
Images
=>
Cc0005;cc-rep-0Cc0005;cc-rep-2
[1,0]=>[1]=>[1,0] [1,0,1,0]=>[2,1]=>[1,1,0,0] [1,1,0,0]=>[1,2]=>[1,0,1,0] [1,0,1,0,1,0]=>[2,1,3]=>[1,1,0,0,1,0] [1,0,1,1,0,0]=>[2,3,1]=>[1,1,0,1,0,0] [1,1,0,0,1,0]=>[3,1,2]=>[1,1,1,0,0,0] [1,1,0,1,0,0]=>[1,3,2]=>[1,0,1,1,0,0] [1,1,1,0,0,0]=>[1,2,3]=>[1,0,1,0,1,0] [1,0,1,0,1,0,1,0]=>[2,1,4,3]=>[1,1,0,0,1,1,0,0] [1,0,1,0,1,1,0,0]=>[2,4,1,3]=>[1,1,0,1,1,0,0,0] [1,0,1,1,0,0,1,0]=>[2,1,3,4]=>[1,1,0,0,1,0,1,0] [1,0,1,1,0,1,0,0]=>[2,3,1,4]=>[1,1,0,1,0,0,1,0] [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[1,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,0]=>[3,1,4,2]=>[1,1,1,0,0,1,0,0] [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[1,1,1,0,1,0,0,0] [1,1,0,1,0,0,1,0]=>[3,1,2,4]=>[1,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,0,1,1,0,0,1,0] [1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,0,1,1,0,1,0,0] [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[1,1,1,1,0,0,0,0] [1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,0,1,1,1,0,0,0] [1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,0,1,0,1,1,0,0] [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0] [1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,5]=>[1,1,0,1,1,0,0,0,1,0] [1,0,1,0,1,1,0,0,1,0]=>[2,1,4,5,3]=>[1,1,0,0,1,1,0,1,0,0] [1,0,1,0,1,1,0,1,0,0]=>[2,4,1,5,3]=>[1,1,0,1,1,0,0,1,0,0] [1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0] [1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,4]=>[1,1,0,0,1,1,1,0,0,0] [1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,4]=>[1,1,0,1,1,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0] [1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[1,1,0,1,0,0,1,1,0,0] [1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[1,1,0,1,0,1,1,0,0,0] [1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0] [1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0] [1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0] [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5]=>[1,1,1,0,0,1,0,0,1,0] [1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0] [1,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2]=>[1,1,1,0,0,1,0,1,0,0] [1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0] [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[1,1,1,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4]=>[1,1,1,0,0,1,1,0,0,0] [1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[1,1,1,0,1,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[1,1,1,0,0,0,1,1,0,0] [1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0] [1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,0,1,1,0,1,1,0,0,0] [1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[1,1,1,0,0,0,1,0,1,0] [1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,0,1,1,0,0,1,0,1,0] [1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,0,1,1,0,1,0,0,1,0] [1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,0,1,1,0,1,0,1,0,0] [1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>[1,1,1,1,0,0,1,0,0,0] [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[1,1,1,1,0,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[1,1,1,1,0,0,0,1,0,0] [1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0] [1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0] [1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[1,1,1,1,0,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,0,1,1,1,0,0,0,1,0] [1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,0,1,0,1,1,0,0,1,0] [1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,0,1,0,1,1,0,1,0,0] [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[1,1,1,1,1,0,0,0,0,0] [1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,0,1,1,1,1,0,0,0,0] [1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,0,1,0,1,1,1,0,0,0] [1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0] [1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0] [1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5]=>[1,1,0,0,1,1,0,1,1,0,0,0] [1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5]=>[1,1,0,1,1,0,0,1,1,0,0,0] [1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5]=>[1,1,0,1,1,0,1,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[1,1,0,0,1,1,0,0,1,0,1,0] [1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0] [1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[1,1,0,0,1,1,0,1,0,0,1,0] [1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,5,3,6]=>[1,1,0,1,1,0,0,1,0,0,1,0] [1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,5,1,3,6]=>[1,1,0,1,1,0,1,0,0,0,1,0] [1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,5,6,3]=>[1,1,0,0,1,1,0,1,0,1,0,0] [1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,5,6,3]=>[1,1,0,1,1,0,0,1,0,1,0,0] [1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0] [1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,5,6,1,3]=>[1,1,0,1,1,0,1,0,1,0,0,0] [1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0] [1,0,1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0] [1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0] [1,0,1,1,0,0,1,1,0,1,0,0]=>[2,5,1,6,3,4]=>[1,1,0,1,1,1,0,0,1,0,0,0] [1,0,1,1,0,0,1,1,1,0,0,0]=>[2,5,6,1,3,4]=>[1,1,0,1,1,1,0,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,4,6]=>[1,1,0,0,1,1,1,0,0,0,1,0] [1,0,1,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,6]=>[1,1,0,0,1,0,1,1,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,6]=>[1,1,0,1,0,0,1,1,0,0,1,0] [1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,6]=>[1,1,0,1,0,1,1,0,0,0,1,0] [1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,6,4]=>[1,1,0,0,1,0,1,1,0,1,0,0] [1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,6,4]=>[1,1,0,1,0,0,1,1,0,1,0,0] [1,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,5,1,6,4]=>[1,1,0,1,0,1,1,0,0,1,0,0] [1,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0] [1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5]=>[1,1,0,0,1,1,1,1,0,0,0,0] [1,0,1,1,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0] [1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5]=>[1,1,0,0,1,0,1,1,1,0,0,0] [1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,5]=>[1,1,0,1,0,0,1,1,1,0,0,0] [1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5]=>[1,1,0,1,0,1,1,1,0,0,0,0] [1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5]=>[1,1,0,0,1,0,1,0,1,1,0,0] [1,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5]=>[1,1,0,1,0,0,1,0,1,1,0,0] [1,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5]=>[1,1,0,1,0,1,0,0,1,1,0,0] [1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5]=>[1,1,0,1,0,1,0,1,1,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0] [1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,5,6]=>[1,1,0,1,0,0,1,0,1,0,1,0] [1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,4,1,5,6]=>[1,1,0,1,0,1,0,0,1,0,1,0] [1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,5,1,6]=>[1,1,0,1,0,1,0,1,0,0,1,0] [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[1,1,0,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0] [1,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0] [1,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5]=>[1,1,1,0,0,1,0,1,1,0,0,0] [1,1,0,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5]=>[1,1,1,0,1,0,0,1,1,0,0,0] [1,1,0,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5]=>[1,1,1,0,1,0,1,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0] [1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0] [1,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>[1,1,1,0,0,1,0,1,0,0,1,0] [1,1,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,5,2,6]=>[1,1,1,0,1,0,0,1,0,0,1,0] [1,1,0,0,1,1,0,1,1,0,0,0]=>[3,4,5,1,2,6]=>[1,1,1,0,1,0,1,0,0,0,1,0] [1,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,5,6,2]=>[1,1,1,0,0,1,0,1,0,1,0,0] [1,1,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0] [1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,5,1,6,2]=>[1,1,1,0,1,0,1,0,0,1,0,0] [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0] [1,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0] [1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,6,2,4]=>[1,1,1,0,0,1,1,0,1,0,0,0] [1,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0] [1,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,6,1,2,4]=>[1,1,1,0,1,1,0,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0] [1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,6]=>[1,0,1,1,0,1,1,0,0,0,1,0] [1,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0] [1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,6,4]=>[1,0,1,1,0,0,1,1,0,1,0,0] [1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,6,4]=>[1,0,1,1,0,1,1,0,0,1,0,0] [1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,6,2,4]=>[1,0,1,1,0,1,1,0,1,0,0,0] [1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0] [1,1,0,1,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0] [1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0] [1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,5]=>[1,0,1,1,0,0,1,1,1,0,0,0] [1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5]=>[1,0,1,1,0,1,1,1,0,0,0,0] [1,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0] [1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5]=>[1,0,1,1,0,0,1,0,1,1,0,0] [1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5]=>[1,0,1,1,0,1,0,0,1,1,0,0] [1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5]=>[1,0,1,1,0,1,0,1,1,0,0,0] [1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0] [1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,4,5,6]=>[1,0,1,1,0,0,1,0,1,0,1,0] [1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,2,5,6]=>[1,0,1,1,0,1,0,0,1,0,1,0] [1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,5,2,6]=>[1,0,1,1,0,1,0,1,0,0,1,0] [1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,5,6,2]=>[1,0,1,1,0,1,0,1,0,1,0,0] [1,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0] [1,1,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0] [1,1,1,0,0,0,1,1,0,0,1,0]=>[4,1,5,6,2,3]=>[1,1,1,1,0,0,1,0,1,0,0,0] [1,1,1,0,0,0,1,1,0,1,0,0]=>[4,5,1,6,2,3]=>[1,1,1,1,0,1,0,0,1,0,0,0] [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0] [1,1,1,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,6]=>[1,0,1,1,1,0,0,1,0,0,1,0] [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0] [1,1,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0] [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,5,6,3]=>[1,0,1,1,1,0,0,1,0,1,0,0] [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,2,6,3]=>[1,0,1,1,1,0,1,0,0,1,0,0] [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,6,2,3]=>[1,0,1,1,1,0,1,0,1,0,0,0] [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0] [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0] [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0] [1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5]=>[1,0,1,1,1,0,0,1,1,0,0,0] [1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5]=>[1,0,1,1,1,0,1,1,0,0,0,0] [1,1,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0] [1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5]=>[1,0,1,0,1,1,0,0,1,1,0,0] [1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5]=>[1,0,1,0,1,1,0,1,1,0,0,0] [1,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0] [1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0] [1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,5,6]=>[1,0,1,0,1,1,0,0,1,0,1,0] [1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,5,3,6]=>[1,0,1,0,1,1,0,1,0,0,1,0] [1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,5,6,3]=>[1,0,1,0,1,1,0,1,0,1,0,0] [1,1,1,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0] [1,1,1,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0] [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,6,3,4]=>[1,0,1,1,1,1,0,0,1,0,0,0] [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,6,2,3,4]=>[1,0,1,1,1,1,0,1,0,0,0,0] [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0] [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0] [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,6,4]=>[1,0,1,0,1,1,1,0,0,1,0,0] [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0] [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0] [1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,6]=>[1,0,1,0,1,1,1,0,0,0,1,0] [1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,6]=>[1,0,1,0,1,0,1,1,0,0,1,0] [1,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,6,4]=>[1,0,1,0,1,0,1,1,0,1,0,0] [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5]=>[1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5]=>[1,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5]=>[1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,7,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,7,5]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,6,1,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,6,7,3,5]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,7,3,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,7,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,4,1,3,7,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,7,3,5,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,4,1,7,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,4,7,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,3,5,7,6]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,4,1,3,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,3,7,6]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,5,7,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,7,3,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,7,3,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,5,7,1,3,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,7]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,4,5,1,3,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,5,6,3,7]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,4,5,6,1,3,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,5,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1,5,6,7,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,5,1,6,7,3]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,5,6,1,7,3]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,5,6,7,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,5,1,6,3,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,6,1,3,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,5,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,5,1,6,3,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,5,6,1,3,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,6,7,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,5,1,6,7,3,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,5,6,1,7,3,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,7,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,5,1,7,3,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,5,7,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,4,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,4,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,7,6]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,7,4,6]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,4,6]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,1,7,4,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,5,7,1,4,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,7]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,1,5,4,6,7]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,4,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,5,6,4,7]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,1,5,6,4,7]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,1,6,4,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,5,6,7,4]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,5,6,7,4]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,5,1,6,7,4]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,5,6,1,7,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,6,7,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,6,1,3,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,6,7,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,6,3,4,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,6,1,3,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,3,6,4,7,5]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,6,1,4,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,3,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,6,7,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,6,1,7,4,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,6,7,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,5,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,7]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5,7]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,3,4,6,7,5]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,1,4,6,7,5]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,6,7,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,4,6,1,7,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,7,4,5,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,7,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,7,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,7,5,6]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,4,7,5,6]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,7,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,5,7,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,7,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,4,5,7,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,4,1,6,2,7,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,4,6,1,2,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,7,2,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,4,1,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,4,6,1,7,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,6,7,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,4,7,2,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,4,1,7,2,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,4,7,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,4,1,2,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,4,5,7,2,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,4,1,5,7,2,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,4,5,1,7,2,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,7,1,2,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,4,5,2,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,4,1,5,2,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,4,5,1,2,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,5,6,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,5,6,7,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1,5,6,7,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,5,1,6,7,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,5,1,2,6,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,5,6,2,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,6,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,5,6,2,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,5,1,6,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,5,6,1,2,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,5,6,7,2,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,5,1,6,7,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,5,6,1,7,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,5,6,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,6]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,7,4,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,5,4,6,7]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,5,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,7]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,2,6,4,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,5,6,7,4]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,2,6,7,4]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,6,2,7,4]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,6,7,2,4]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,6,7,2,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,6,1,2,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,2,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,5,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,7]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5,7]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,6,7,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,4,2,6,7,5]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,4,6,2,7,5]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,4,6,7,2,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,7,5,6]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,4,2,7,5,6]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,7,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,7,6]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,7,6]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,4,5,7,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,4,5,2,6,7]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,4,5,6,2,7]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,6,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,5,6,2,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,5,1,6,2,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,5,6,7,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,5,1,6,7,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,5,6,1,7,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,5,7,2,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,5,1,7,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,5,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,2,7,3,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,5,6,3,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,5,6,2,3,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[4,1,2,5,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,5,6,7,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,5,2,6,7,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,5,6,2,7,3]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,6,7,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,6,1,2,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,6,7,2,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,6,1,7,2,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,6,7,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,7,5]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,7,3,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,7]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,6,7,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,6,3,7,5]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,6,7,3,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,7,1,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,7,2,3,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,6]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,7,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,4,5,3,7,6]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,2,4,5,7,3,6]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,6,7]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,5,6,3,7]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,5,6,7,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,6,1,2,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,1,6,7,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[5,6,1,7,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,6,1,2,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[5,1,2,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[5,1,2,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,2,6,7,3,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[5,1,2,3,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,6,7,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,5,6,3,7,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,5,6,7,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,7,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,7,4,6]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,7]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,5,6,7,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,7,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>[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]=>[1,6,2,3,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,8,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,8,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,8,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,8,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,8,5,7]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,6,1,3,8,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,6,8,3,5,7]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,8,3,5,7]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,6,1,8,3,5,7]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,7,8]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,3,6,7,5,8]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,6,1,3,7,5,8]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,6,7,1,3,5,8]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,6,7,8,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,7,8,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,6,3,7,8,5]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,7,8,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,4,6,1,3,7,8,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,4,1,6,7,3,8,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,4,6,1,7,3,8,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,4,6,7,1,3,8,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1,6,7,8,3,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,6,1,7,8,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,6,7,1,8,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,6,7,8,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,8,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,7,5,8,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,4,1,7,3,5,8,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,4,7,1,3,5,8,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,7,8,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,7,8,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,4,1,7,3,8,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,4,7,1,3,8,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,7,8,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,4,7,1,8,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,8]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,7,3,6,8]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,5,7,8,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,7,8,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,5,1,3,7,8,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,5,7,3,8,6]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,1,5,7,3,8,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,1,7,3,8,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,5,7,1,3,8,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4,5,7,8,1,3,6]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,8,5,6,7]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,1,3,8,5,6,7]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,4,8,3,5,6,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,8,3,5,6,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,8,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,4,5,8,3,6,7]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,5,8,3,6,7]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,8,7]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,8,7]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,4,5,6,3,8,7]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,8,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,4,5,6,8,3,7]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,5,1,6,8,3,7]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,6,1,8,3,7]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,5,6,8,1,3,7]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7,8]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,7,8]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,7,8]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,5,6,1,3,7,8]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,5,6,7,1,3,8]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,5,6,7,8,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1,5,6,7,8,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,5,6,1,7,8,3]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,5,6,7,1,8,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,8,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,6,8,4,7]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,6,8,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,5,1,6,3,8,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,5,1,6,8,3,4,7]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,7,8]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,5,1,6,3,4,7,8]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4,8]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,5,6,3,7,4,8]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,5,1,6,3,7,4,8]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,5,6,1,3,7,4,8]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,5,6,7,3,4,8]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,5,1,6,7,3,4,8]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,6,7,8,4]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,6,7,8,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,6,3,7,8,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,5,1,6,3,7,8,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,5,6,1,3,7,8,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,7,3,8,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,1,6,7,3,8,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,5,6,7,8,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,5,1,6,7,8,3,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,5,6,1,7,8,3,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5,6,7,8,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,8,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,8,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,5,7,3,4,8,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,7,1,3,4,8,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,7,8,4,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,7,8,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,5,7,3,8,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,5,1,7,3,8,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,5,7,1,3,8,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,7,8,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,5,1,7,8,3,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,6,8]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,7,3,4,6,8]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6,8]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,7,6,8]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,5,7,1,4,6,8]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,1,7,4,8,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,1,4,8,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,5,7,1,8,4,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,3,8,4,6,7]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,8,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,8,1,4,6,7]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,8,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,8,7]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,1,6,4,8,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,8,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,5,6,1,8,4,7]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,5,6,8,1,4,7]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,1,3,4,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,7,8]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,5,6,7,4,8]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,5,6,1,7,4,8]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,5,1,6,7,8,4]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,5,6,1,7,8,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,5,6,7,1,8,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,5,6,7,8,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,8,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,6,1,3,7,4,8,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,8,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,1,6,3,7,8,4,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,1,6,7,3,8,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,6,1,7,3,8,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,6,1,7,8,3,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,6,7,8,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,6,1,7,3,4,5,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,5,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5,8]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0] [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,3,6,1,4,7,5,8]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,7,1,4,5,8]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,7,8,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,7,8,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,6,7,4,8,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,3,6,7,1,4,8,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0] [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,6,7,8,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,1,7,8,4,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,1,8,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,3,6,7,8,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,6,1,8,3,4,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,1,6,3,4,8,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,8,5,7]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,6,8,4,5,7]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,3,6,1,8,4,5,7]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,3,6,8,1,4,5,7]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,8,7]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,8,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,6,8,5,7]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,3,4,6,1,8,5,7]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,7,8]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,7,8]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,6,7,5,8]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,6,7,5,8]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,6,7,8,5]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,6,7,8,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,6,7,8,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,7,1,3,8,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,1,7,8,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,7,1,8,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,7,8,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,1,7,3,4,8,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,1,3,7,4,8,5,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,7,4,8,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,1,7,8,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,7,8,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,7,4,5,8,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,3,7,1,4,5,8,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,8,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,8,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,1,3,4,7,8,5,6]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,1,4,7,8,5,6]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,7,8,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,4,7,8,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,6,8]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0] [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,7,6,8]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,7,8,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,1,8,3,4,5,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,8,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,1,3,8,4,5,6,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,3,1,8,4,5,6,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,3,8,1,4,5,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,1,3,4,8,5,6,7]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,3,1,4,8,5,6,7]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,3,4,1,8,5,6,7]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,8,6,7]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,3,4,5,8,1,6,7]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,8,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,8,7]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,8,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7,8]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5,8,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,8,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,8,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,8,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,8,2,5,7]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[3,4,1,6,8,2,5,7]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,7,8]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,7,8]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5,8]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[3,4,1,2,6,7,5,8]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[3,4,1,6,2,7,5,8]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[3,4,6,1,2,7,5,8]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,6,7,8,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,7,8,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[3,4,6,1,2,7,8,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[3,4,6,1,7,2,8,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,6,7,8,2,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,6,1,7,8,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,6,7,1,8,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,6,7,8,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,8,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,8,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[3,4,7,1,2,5,8,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,7,8,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,7,1,8,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,6,8]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,6,8]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,1,2,5,7,6,8]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,7,6,8]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,7,6,8]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0] [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,1,5,7,2,6,8]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,7,8,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,5,7,8,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,4,5,2,7,8,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,7,2,8,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,5,7,1,2,8,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,4,5,7,8,2,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[3,4,1,5,7,8,2,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[3,4,5,1,7,8,2,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,4,2,8,5,6,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[3,4,1,2,8,5,6,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,4,8,2,5,6,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,8,2,5,6,7]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[3,4,8,1,2,5,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,8,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,4,1,2,5,8,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,8,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,4,1,5,8,2,6,7]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,8,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,8,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,8,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,1,2,8,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[3,4,1,5,6,8,2,7]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[3,4,5,6,1,8,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,6,8,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7,8]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,7,8]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,7,8]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[3,4,1,5,6,7,2,8]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2,8]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,5,1,6,7,8,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,5,6,1,7,8,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,5,6,2,4,8,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,6,8,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,5,6,2,8,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,5,6,1,2,8,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,5,6,8,2,4,7]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,5,1,6,8,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,5,6,1,8,2,4,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,5,6,2,4,7,8]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,7,8]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,7,8]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,5,1,6,2,7,4,8]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,5,6,1,2,7,4,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,5,6,1,7,2,4,8]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,6,7,8,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,6,7,8,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,5,6,2,7,8,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0] [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,5,1,6,2,7,8,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0] [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,5,6,1,2,7,8,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,5,6,7,2,8,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0] [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,5,1,6,7,2,8,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0] [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,5,6,1,7,2,8,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0] [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,5,6,7,8,2,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,5,1,6,7,8,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,5,6,1,7,8,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5,6,7,8,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,8,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,8,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,8,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,8,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,7,8,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,7,8,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,5,7,2,8,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,5,7,8,2,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,5,1,7,8,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,6,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,6,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,6,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,6,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,6,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6,8]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,7,6,8]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6,8]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,8]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6,8]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6,8]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,6,8]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,7,4,6,8]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6,8]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,8,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,4,7,8,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,5,7,4,8,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,5,7,4,8,6]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,2,7,4,8,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,8,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,5,7,8,4,6]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,2,7,8,4,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,7,2,8,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,7,8,2,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,5,2,8,4,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,5,1,2,8,4,6,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,5,8,2,4,6,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0] [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,5,1,8,2,4,6,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,8,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,8,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,8,6,7]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,8,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,5,8,4,6,7]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,5,8,4,6,7]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,2,8,4,6,7]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,8,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,5,4,6,8,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0] [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,8,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,2,6,4,8,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,8,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,5,6,8,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0] [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,2,6,8,4,7]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,7,8]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,5,4,6,7,8]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,7,8]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,7,8]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,5,2,6,4,7,8]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,7,8]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,5,6,7,4,8]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,5,6,7,4,8]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,5,2,6,7,4,8]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,5,6,2,7,4,8]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,5,6,7,2,4,8]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,5,6,7,8,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0] [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,5,6,2,7,8,4]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,5,6,7,8,2,4]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,6,1,2,7,4,8,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0] [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,6,1,7,2,4,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0] [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,6,7,2,8,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,6,1,7,2,8,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,6,7,8,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,6,7,2,4,5,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,5,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0] [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,7,5,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0] [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,6,1,2,4,7,5,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,6,4,7,5,8]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,7,5,8]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,7,5,8]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,6,7,4,5,8]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,7,8,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,7,8,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,7,8,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,7,8,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,6,7,4,8,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0] [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,3,6,2,7,4,8,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,6,7,2,4,8,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,2,7,8,4,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,6,2,8,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,6,8,2,4,5,7]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,6,1,8,2,4,5,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,8,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,6,1,2,4,8,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,8,5,7]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,8,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0] [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5,8,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,8,7]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,8,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,8,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,6,8,5,7]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,4,6,8,2,5,7]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,7,8]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0] [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,6,4,5,7,8]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,2,4,5,7,8]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,7,8]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,4,6,7,5,8]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,6,7,5,8]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,6,7,8,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,6,7,8,5]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,4,6,7,2,8,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,7,1,2,8,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,1,7,8,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,7,1,2,4,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,1,2,7,4,8,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,3,2,7,4,8,5,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,3,7,2,4,8,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,1,2,7,8,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,3,7,2,8,4,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,8,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,8,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,7,5,8,6]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,8,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,7,8,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,7,8,5,6]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,3,4,2,7,8,5,6]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,6,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,6,8]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0] [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,7,6,8]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,7,6,8]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,7,6,8]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,3,4,5,7,2,6,8]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,7,8,6]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,3,4,5,2,7,8,6]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,4,5,7,2,8,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,3,4,5,7,8,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,1,8,2,4,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,1,2,8,4,5,6,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,3,2,8,4,5,6,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,3,8,2,4,5,6,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,1,2,4,8,5,6,7]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,3,2,4,8,5,6,7]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,3,4,2,8,5,6,7]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,3,4,8,2,5,6,7]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,8,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,8,6,7]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,8,6,7]=>[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,8,6,7]=>[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,3,4,5,8,2,6,7]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,8,7]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,3,4,5,2,6,8,7]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7,8]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,3,4,5,2,6,7,8]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2,8]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,6,3,8,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0] [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0] [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,6,8,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0] [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,6,8,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0] [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[4,1,5,6,2,8,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[4,5,1,6,2,8,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[4,1,5,6,8,2,3,7]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,7,8]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,7,8]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[4,5,1,6,2,7,3,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[4,1,5,6,7,2,3,8]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[4,5,1,6,7,2,3,8]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,6,7,8,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,6,7,8,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[4,5,1,6,2,7,8,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0] [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[4,1,5,6,7,2,8,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[4,5,1,6,7,2,8,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[4,5,6,1,7,2,8,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,6,7,1,2,8,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[4,1,5,6,7,8,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[4,5,1,6,7,8,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,5,6,7,1,8,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,8,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[4,5,1,7,2,3,8,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,7,8,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,7,8,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[4,1,5,7,2,8,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[4,5,1,7,2,8,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,5,1,7,8,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,6,8]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,6,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[4,1,5,7,2,3,6,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[4,5,1,7,2,3,6,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,7,6,8]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6,8]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,7,6,8]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6,8]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,6,8]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,2,7,3,6,8]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,7,2,3,6,8]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,7,8,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0] [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3,7,8,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0] [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3,7,8,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3,7,8,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,7,3,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0] [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,5,7,3,8,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,2,7,3,8,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,8,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[4,1,2,5,7,8,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,5,7,8,3,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,4,5,2,7,8,3,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,7,8,2,3,6]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,8,3,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,8,3,6,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[4,5,1,8,2,3,6,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,8,1,2,3,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0] [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,8,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,8,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,8,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,5,8,3,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,5,8,3,6,7]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,2,8,3,6,7]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,8,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,8,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,8,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,5,6,8,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,5,2,6,8,3,7]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,5,6,2,8,3,7]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,5,6,8,2,3,7]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,7,8]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,7,8]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,5,2,3,6,7,8]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,7,8]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,7,8]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,5,6,7,3,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,2,5,6,7,3,8]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,5,6,7,2,3,8]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,5,6,7,8,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,4,5,2,6,7,8,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,4,5,6,7,2,8,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,6,7,2,3,8,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,6,7,1,2,3,8,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,6,1,2,7,8,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,6,7,1,2,8,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,5,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,6,1,2,7,3,5,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,6,7,2,3,5,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,6,1,7,2,3,5,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,7,5,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,7,5,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,7,5,8]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,7,5,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,6,7,3,5,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,6,7,3,5,8]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,6,2,7,3,5,8]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,7,8,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,7,8,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0] [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,7,8,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,1,2,6,7,3,8,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0] [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,6,2,7,3,8,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,6,7,8,3,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,8,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,8,3,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,6,2,8,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,6,1,2,8,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,6,8,2,3,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,6,1,8,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,8,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,8,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,8,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,8,3,5,7]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,8,3,5,7]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,6,8,2,3,5,7]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,8,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,8,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,8,7]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0] [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,6,8,5,7]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,6,3,8,5,7]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,6,8,3,5,7]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,7,8]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,7,8]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0] [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,7,8]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,7,8]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,4,6,3,5,7,8]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,6,7,5,8]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0] [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,6,7,5,8]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0] [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,6,7,8,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,6,7,8,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,6,7,3,8,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,7,2,8,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,7,1,2,8,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,7,1,8,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,7,2,3,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,2,7,3,8,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,7,2,3,8,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,7,8,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,7,8,3,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,7,2,8,3,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,7,2,3,5,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,8,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,7,2,3,5,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,8,6]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0] [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,7,8,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,7,8,5,6]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,4,7,3,8,5,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,4,7,8,3,5,6]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,6,8]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,6,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,6,8]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,7,6,8]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0] [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,7,6,8]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,7,8,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,7,8,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,7,8,6]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,4,5,7,3,8,6]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[4,8,1,2,3,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[4,1,2,8,3,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,4,2,8,3,5,6,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,4,8,2,3,5,6,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[4,1,2,3,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,4,2,3,8,5,6,7]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,4,3,8,5,6,7]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,4,8,3,5,6,7]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,8,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,8,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,8,6,7]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,4,5,3,8,6,7]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,4,5,8,3,6,7]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,8,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0] [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,8,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,8,7]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,4,5,6,8,3,7]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7,8]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,4,5,6,3,7,8]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[5,6,1,2,7,3,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[5,1,6,7,2,3,8,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[5,6,1,7,2,3,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[5,1,6,7,2,8,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,7,1,2,8,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,1,6,7,8,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[5,6,1,7,8,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,6,7,1,8,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,4,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,7,4,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,7,4,8]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[5,1,2,6,7,3,4,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,5,2,6,7,3,4,8]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[1,5,6,7,2,3,4,8]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,7,8,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,7,8,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[5,1,2,6,3,7,8,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,7,8,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,7,8,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,5,6,7,2,3,8,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,5,6,7,8,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,1,6,2,8,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[5,6,1,2,8,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,8,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,8,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,6,1,2,3,8,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[5,1,2,6,3,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,8,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,8,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[5,1,2,6,8,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[1,5,2,6,8,3,4,7]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,5,6,2,8,3,4,7]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,5,6,8,2,3,4,7]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0] [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,8,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,4,8,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,8,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,8,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,3,4,8,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[5,1,2,3,6,8,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0] [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,8,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,5,6,3,8,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,5,6,8,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0] [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,5,6,3,4,7,8]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,6,7,4,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,5,6,3,7,4,8]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0] [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,6,7,8,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,6,7,8,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,5,6,3,7,8,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,5,6,7,8,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,7,2,8,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,7,1,2,8,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,7,8,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[5,1,2,7,3,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,7,3,8,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,7,2,3,8,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[5,1,2,7,8,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,2,7,8,3,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,7,2,8,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,7,8,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,7,2,3,4,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,8,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,7,2,3,4,8,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,7,4,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0] [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,8,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,8,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,8,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[5,1,2,3,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,7,8,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,7,8,4,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,5,7,3,8,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,5,7,8,3,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,6,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6,8]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,7,4,6,8]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,7,8,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,7,8,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,7,8,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,5,7,4,8,6]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,5,7,8,4,6]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[5,8,1,2,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,8,3,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,2,8,3,4,6,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,2,3,8,4,6,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,5,3,8,4,6,7]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,5,8,3,4,6,7]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,8,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,8,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,8,6,7]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,5,8,4,6,7]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,8,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,8,7]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,5,6,8,4,7]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,7,8]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,7,8]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,5,6,7,4,8]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,7,2,8,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[6,1,7,8,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[6,7,1,8,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,7,2,3,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[6,7,1,2,3,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[6,1,2,7,3,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,6,2,7,3,8,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,6,7,2,3,8,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[1,6,7,2,8,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,8,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,8,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,8,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,8,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[6,1,2,3,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,8,4,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,8,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,2,6,7,8,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,5,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,7,5,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,7,5,8]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,7,5,8]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,6,7,4,5,8]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,7,8,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,7,8,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,6,7,4,8,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,6,7,8,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,1,8,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[6,1,2,8,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,6,2,8,3,4,5,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,6,8,2,3,4,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,6,2,3,8,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,3,8,4,5,7]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,2,6,8,3,4,5,7]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,8,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,8,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,8,5,7]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,8,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,8,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,8,7]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,8,5,7]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7,8]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,7,8]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,6,7,5,8]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[7,1,2,8,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,7,2,8,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,8,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,1,2,3,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,7,8,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,2,7,3,4,8,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,2,3,7,4,8,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,3,7,8,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,8,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,8,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,7,8,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,6,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,6,8]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,6,8]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,8,3,4,5,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,8,5,6,7]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,8,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,10,9]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,6,8,10,1,3,5,7,9]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]
Map
to 321-avoiding permutation
Description
Sends a Dyck path to a 321-avoiding permutation.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
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.