=>

[1,0]=>[1]=>[1]=> [1,0,1,0]=>[1,2]=>[2,1]=>0 [1,1,0,0]=>[2,1]=>[1,2]=>1 [1,0,1,0,1,0]=>[1,2,3]=>[3,2,1]=>00 [1,0,1,1,0,0]=>[1,3,2]=>[2,3,1]=>00 [1,1,0,0,1,0]=>[2,1,3]=>[3,1,2]=>00 [1,1,0,1,0,0]=>[2,3,1]=>[1,3,2]=>10 [1,1,1,0,0,0]=>[3,2,1]=>[1,2,3]=>11 [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[4,3,2,1]=>000 [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[3,4,2,1]=>000 [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[4,2,3,1]=>000 [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[2,4,3,1]=>000 [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[2,3,4,1]=>000 [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[4,3,1,2]=>000 [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[3,4,1,2]=>000 [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[4,1,3,2]=>000 [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[1,4,3,2]=>100 [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[1,3,4,2]=>100 [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[4,1,2,3]=>000 [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[1,4,2,3]=>100 [1,1,1,0,1,0,0,0]=>[3,4,2,1]=>[1,2,4,3]=>110 [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[1,2,3,4]=>111 [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0000 [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[4,5,3,2,1]=>0000 [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[5,3,4,2,1]=>0000 [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[3,5,4,2,1]=>0000 [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[3,4,5,2,1]=>0000 [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[5,4,2,3,1]=>0000 [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[4,5,2,3,1]=>0000 [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[5,2,4,3,1]=>0000 [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[2,5,4,3,1]=>0000 [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[2,4,5,3,1]=>0000 [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[5,2,3,4,1]=>0000 [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[2,5,3,4,1]=>0000 [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,3,2]=>[2,3,5,4,1]=>0000 [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[2,3,4,5,1]=>0000 [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[5,4,3,1,2]=>0000 [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[4,5,3,1,2]=>0000 [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[5,3,4,1,2]=>0000 [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[3,5,4,1,2]=>0000 [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[3,4,5,1,2]=>0000 [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[5,4,1,3,2]=>0000 [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[4,5,1,3,2]=>0000 [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[5,1,4,3,2]=>0000 [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[1,5,4,3,2]=>1000 [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[1,4,5,3,2]=>1000 [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[5,1,3,4,2]=>0000 [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[1,5,3,4,2]=>1000 [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,3,1]=>[1,3,5,4,2]=>1000 [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[1,3,4,5,2]=>1000 [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[5,4,1,2,3]=>0000 [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[4,5,1,2,3]=>0000 [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[5,1,4,2,3]=>0000 [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[1,5,4,2,3]=>1000 [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[1,4,5,2,3]=>1000 [1,1,1,0,1,0,0,0,1,0]=>[3,4,2,1,5]=>[5,1,2,4,3]=>0000 [1,1,1,0,1,0,0,1,0,0]=>[3,4,2,5,1]=>[1,5,2,4,3]=>1000 [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,2,1]=>[1,2,5,4,3]=>1100 [1,1,1,0,1,1,0,0,0,0]=>[3,5,4,2,1]=>[1,2,4,5,3]=>1100 [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[5,1,2,3,4]=>0000 [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[1,5,2,3,4]=>1000 [1,1,1,1,0,0,1,0,0,0]=>[4,3,5,2,1]=>[1,2,5,3,4]=>1100 [1,1,1,1,0,1,0,0,0,0]=>[4,5,3,2,1]=>[1,2,3,5,4]=>1110 [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[1,2,3,4,5]=>1111 [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>00000 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>00000 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>00000 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>00000 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>00000 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>00000 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>00000 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>00000 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>00000 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>00000 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>00000 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>00000 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>00000 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>00000 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>00000 [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>00000 [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>00000 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>00000 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>00000 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>00000 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>00000 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>00000 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>00000 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>00000 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>00000 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>00000 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>00000 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>00000 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>00000 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>00000 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>00000 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>00000 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>00000 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>00000 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>00000 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>00000 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>00000 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>00000 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>00000 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>00000 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>00000 [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>00000 [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>00000 [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>00000 [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>00000 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>00000 [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>00000 [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>00000 [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>00000 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>00000 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>00000 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>00000 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>00000 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>00000 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>00000 [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>00000 [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>00000 [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>00000 [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>00000 [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>00000 [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>00000 [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>00000 [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>00000 [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>10000 [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>10000 [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>00000 [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>10000 [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>10000 [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>10000 [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>00000 [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>00000 [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>00000 [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>10000 [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>10000 [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>00000 [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>10000 [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>10000 [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>10000 [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>00000 [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>10000 [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>10000 [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>10000 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>10000 [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>00000 [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>00000 [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>00000 [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>00000 [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>00000 [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>00000 [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>00000 [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>00000 [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>10000 [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>10000 [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>00000 [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>10000 [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>10000 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>10000 [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>00000 [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>00000 [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>00000 [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>10000 [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>10000 [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>00000 [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>10000 [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>11000 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>11000 [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>00000 [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>10000 [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>11000 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>11000 [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>11000 [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>00000 [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>00000 [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>00000 [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>10000 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>10000 [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>00000 [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>10000 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>11000 [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>11000 [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>00000 [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>10000 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>11000 [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>11100 [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>11100 [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>00000 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>10000 [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>11000 [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>11100 [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>11110 [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>11111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>000000 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>000000 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>000000 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>000000 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>000000 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>000000 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>000000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>000000 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>000000 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>000000 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>000000 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>000000 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>000000 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>000000 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>000000 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>000000 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>000000 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>000000 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>000000 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>000000 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>000000 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>000000 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>000000 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>000000 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>000000 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>000000 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>000000 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>000000 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>000000 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>000000 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>000000 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>000000 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>000000 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>000000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>000000 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>000000 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>000000 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>000000 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>000000 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>000000 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>000000 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>000000 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>000000 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>000000 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>000000 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>000000 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>000000 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>000000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>000000 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>000000 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>000000 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>000000 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>000000 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>000000 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>000000 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>000000 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>000000 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>000000 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>000000 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>000000 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>000000 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>000000 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>000000 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>000000 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>000000 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>000000 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>000000 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>000000 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>000000 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>000000 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>000000 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>000000 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>000000 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>000000 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>000000 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>000000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>000000 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>000000 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>000000 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>000000 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>000000 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>000000 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>000000 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>000000 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>000000 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>000000 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>000000 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>000000 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>000000 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>000000 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>000000 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>000000 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>000000 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>000000 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>000000 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>000000 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>000000 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>000000 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>000000 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>000000 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>000000 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>000000 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>000000 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>000000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>000000 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>000000 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>000000 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>000000 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>000000 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>000000 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>000000 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>000000 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>000000 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>000000 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>000000 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>000000 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>000000 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>000000 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>000000 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>000000 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>000000 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>000000 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>000000 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>000000 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>000000 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>000000 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>000000 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>000000 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>000000 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>000000 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>000000 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>000000 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>000000 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>000000 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>000000 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>000000 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>000000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>000000 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>000000 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>000000 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>000000 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>000000 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>000000 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>000000 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>000000 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>000000 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>000000 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>000000 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>000000 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>000000 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>000000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>000000 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>000000 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>000000 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>000000 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>000000 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>000000 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>000000 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>000000 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>000000 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>000000 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>000000 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>000000 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>000000 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>000000 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>000000 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>000000 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>000000 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>000000 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>000000 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>000000 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>000000 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>000000 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>000000 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>000000 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>000000 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>000000 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>000000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>000000 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>000000 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>000000 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>000000 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>000000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>000000 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>100000 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>100000 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>000000 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>100000 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>100000 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>100000 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>000000 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>000000 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>000000 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>100000 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>100000 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>000000 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>100000 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>100000 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>100000 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>000000 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>100000 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>100000 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>100000 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>100000 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>000000 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>000000 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>000000 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>000000 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>000000 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>000000 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>000000 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>000000 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>100000 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>100000 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>000000 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>100000 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>100000 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>100000 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>000000 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>000000 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>000000 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>100000 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>100000 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>000000 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>100000 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>100000 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>100000 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>000000 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>100000 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>100000 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>100000 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>100000 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>000000 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>000000 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>000000 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>100000 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>100000 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>000000 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>100000 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>100000 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>100000 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>000000 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>100000 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>100000 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>100000 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>100000 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>000000 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>100000 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>100000 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>100000 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>100000 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>100000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>000000 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>000000 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>000000 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>000000 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>000000 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>000000 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>000000 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>000000 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>000000 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>000000 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>000000 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>000000 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>000000 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>000000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>000000 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>000000 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>000000 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>000000 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>000000 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>000000 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>000000 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>000000 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>100000 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>100000 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>000000 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>100000 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>100000 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>100000 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>000000 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>000000 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>000000 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>100000 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>100000 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>000000 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>100000 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>100000 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>100000 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>000000 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>100000 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>100000 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>100000 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>100000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>000000 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>000000 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>000000 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>000000 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>000000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>000000 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>000000 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>000000 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>100000 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>100000 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>000000 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>100000 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>100000 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>100000 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>000000 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>000000 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>000000 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>100000 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>100000 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>000000 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>100000 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>110000 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>110000 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>000000 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>100000 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>110000 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>110000 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>110000 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>000000 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>000000 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>000000 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>100000 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>100000 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>000000 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>100000 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>110000 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>110000 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>000000 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>100000 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>110000 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>110000 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>110000 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>000000 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>100000 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>110000 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>110000 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>110000 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>110000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>000000 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>000000 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>000000 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>000000 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>000000 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>000000 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>000000 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>000000 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>100000 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>100000 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>000000 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>100000 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>100000 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>100000 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>000000 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>000000 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>000000 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>100000 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>100000 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>000000 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>100000 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>110000 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>110000 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>000000 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>100000 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>110000 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>110000 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>110000 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>000000 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>000000 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>000000 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>100000 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>100000 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>000000 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>100000 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>110000 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>110000 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>000000 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>100000 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>110000 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>111000 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>111000 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>000000 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>100000 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>110000 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>111000 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>111000 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>111000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>000000 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>000000 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>000000 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>100000 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>100000 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>000000 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>100000 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>110000 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>110000 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>000000 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>100000 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>110000 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>111000 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>111000 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>000000 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>100000 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>110000 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>111000 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>111100 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>111100 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>000000 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>100000 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>110000 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>111000 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>111100 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>111110 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>[4,7,8,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>[4,8,6,7,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,7,8,6,4]=>[4,6,8,7,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>[4,6,7,8,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[4,7,8,5,6,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,6,7,5,8,4]=>[4,8,5,7,6,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,6,7,8,5,4]=>[4,5,8,7,6,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,6,8,7,5,4]=>[4,5,7,8,6,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[4,8,5,6,7,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,6,8,5,4]=>[4,5,8,6,7,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>[5,8,6,7,3,4,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>0000000 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]=>[6,7,8,3,5,4,2,1]=>0000000 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]=>0000000 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]=>0000000 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,4,6,5,7,8,3]=>[3,8,7,5,6,4,2,1]=>0000000 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>[6,8,7,3,4,5,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,4,8,7,6,3]=>[3,6,7,8,4,5,2,1]=>0000000 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]=>0000000 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0000000 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]=>0000000 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>0000000 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,6,8,5]=>[5,8,6,7,4,2,3,1]=>0000000 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>0000000 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]=>0000000 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[8,4,7,6,5,2,3,1]=>0000000 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,7,6,5,8]=>[8,5,6,7,2,4,3,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>[5,8,6,7,2,4,3,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>0000000 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[6,7,8,2,5,4,3,1]=>0000000 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1]=>0000000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]=>0000000 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,5,7,2,8]=>[8,2,7,5,6,4,3,1]=>0000000 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,6,5,7,8,2]=>[2,8,7,5,6,4,3,1]=>0000000 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]=>0000000 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,5,6,7,4,2,8]=>[8,2,4,7,6,5,3,1]=>0000000 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]=>0000000 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]=>0000000 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>0000000 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,5,4,8,7,2]=>[2,7,8,4,5,6,3,1]=>0000000 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,6,5,8,7,4,2]=>[2,4,7,8,5,6,3,1]=>0000000 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,6,7,5,8,4,2]=>[2,4,8,5,7,6,3,1]=>0000000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>0000000 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>0000000 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>[8,5,7,6,2,3,4,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>[5,8,7,6,2,3,4,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]=>[5,8,6,7,2,3,4,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>0000000 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]=>[2,6,7,8,5,3,4,1]=>0000000 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]=>0000000 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,3,7,6,8,5,2]=>[2,5,8,6,7,3,4,1]=>0000000 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,4,5,3,6,2,8,7]=>[7,8,2,6,3,5,4,1]=>0000000 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1]=>0000000 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,6,7,5,3,8,2]=>[2,8,3,5,7,6,4,1]=>0000000 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,4,6,7,8,5,3,2]=>[2,3,5,8,7,6,4,1]=>0000000 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]=>[6,8,7,2,3,4,5,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>0000000 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]=>0000000 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]=>0000000 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]=>0000000 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,5,4,3,7,8,2]=>[2,8,7,3,4,5,6,1]=>0000000 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]=>0000000 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]=>0000000 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]=>0000000 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>0000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>0000000 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]=>0000000 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,7,6,8,5]=>[5,8,6,7,4,3,1,2]=>0000000 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,7,8,6,5]=>[5,6,8,7,4,3,1,2]=>0000000 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>0000000 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,3,5,4,7,8,6]=>[6,8,7,4,5,3,1,2]=>0000000 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,6,7,4,8]=>[8,4,7,6,5,3,1,2]=>0000000 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,7,6,4,8]=>[8,4,6,7,5,3,1,2]=>0000000 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,3,5,7,6,8,4]=>[4,8,6,7,5,3,1,2]=>0000000 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,3,5,7,8,6,4]=>[4,6,8,7,5,3,1,2]=>0000000 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]=>0000000 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,6,8,7,5,4]=>[4,5,7,8,6,3,1,2]=>0000000 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,7,8,6,5,4]=>[4,5,6,8,7,3,1,2]=>0000000 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>0000000 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>0000000 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>0000000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>0000000 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>0000000 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]=>0000000 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>0000000 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]=>[8,7,6,3,5,4,1,2]=>0000000 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>0000000 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]=>[3,6,7,8,5,4,1,2]=>0000000 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>0000000 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]=>0000000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>0000000 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>[7,8,6,3,4,5,1,2]=>0000000 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>0000000 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,4,6,7,3,8]=>[8,3,7,6,4,5,1,2]=>0000000 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]=>0000000 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]=>0000000 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,4,3]=>[3,4,8,7,6,5,1,2]=>0000000 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,5,7,8,6,4,3]=>[3,4,6,8,7,5,1,2]=>0000000 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,5,8,7,6,4,3]=>[3,4,6,7,8,5,1,2]=>0000000 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>0000000 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,6,5,4,7,3,8]=>[8,3,7,4,5,6,1,2]=>0000000 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,5,4,7,8,3]=>[3,8,7,4,5,6,1,2]=>0000000 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]=>0000000 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,6,7,5,8,4,3]=>[3,4,8,5,7,6,1,2]=>0000000 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,5,4,3]=>[3,4,5,8,7,6,1,2]=>0000000 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,6,8,7,5,4,3]=>[3,4,5,7,8,6,1,2]=>0000000 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,7,6,5,8,4,3]=>[3,4,8,5,6,7,1,2]=>0000000 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,6,8,5,4,3]=>[3,4,5,8,6,7,1,2]=>0000000 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,7,8,6,5,4,3]=>[3,4,5,6,8,7,1,2]=>0000000 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>0000000 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>0000000 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,4,6,5,8,7]=>[7,8,5,6,4,1,3,2]=>0000000 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]=>0000000 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[5,8,6,7,4,1,3,2]=>0000000 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]=>0000000 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>0000000 [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,6,8,4]=>[4,8,6,7,5,1,3,2]=>0000000 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,6,5,4,7,8]=>[8,7,4,5,6,1,3,2]=>0000000 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,5,7,8,4]=>[4,8,7,5,6,1,3,2]=>0000000 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]=>[4,7,8,5,6,1,3,2]=>0000000 [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,6,7,8,5,4]=>[4,5,8,7,6,1,3,2]=>0000000 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,6,8,5,4]=>[4,5,8,6,7,1,3,2]=>0000000 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[7,8,6,5,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[8,6,7,5,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[6,8,7,5,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>[6,7,8,5,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[8,5,7,6,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[5,7,8,6,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,6,5,8]=>[8,5,6,7,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>[5,8,6,7,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,7,8,6,5]=>[5,6,8,7,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[7,8,6,1,5,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[8,6,7,1,5,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[6,8,7,1,5,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>[6,7,8,1,5,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>1000000 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>1000000 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>1000000 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>1000000 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>1000000 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>1000000 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>[8,1,5,6,7,4,3,2]=>0000000 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]=>1000000 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>[8,7,6,1,4,5,3,2]=>0000000 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]=>0000000 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>[6,7,8,1,4,5,3,2]=>0000000 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]=>1000000 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,4,7,8,6,1]=>[1,6,8,7,4,5,3,2]=>1000000 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,4,8,7,6,1]=>[1,6,7,8,4,5,3,2]=>1000000 [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,5,6,4,7,1,8]=>[8,1,7,4,6,5,3,2]=>0000000 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>1000000 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]=>1000000 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]=>1000000 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,5,7,6,4,8,1]=>[1,8,4,6,7,5,3,2]=>1000000 [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,5,7,6,8,4,1]=>[1,4,8,6,7,5,3,2]=>1000000 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,5,7,8,6,4,1]=>[1,4,6,8,7,5,3,2]=>1000000 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,5,8,7,6,4,1]=>[1,4,6,7,8,5,3,2]=>1000000 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,5,4,1,7,8]=>[8,7,1,4,5,6,3,2]=>0000000 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>[7,8,1,4,5,6,3,2]=>0000000 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,6,7,5,8,4,1]=>[1,4,8,5,7,6,3,2]=>1000000 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>[8,1,4,5,6,7,3,2]=>0000000 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,2]=>1000000 [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,7,6,8,5,4,1]=>[1,4,5,8,6,7,3,2]=>1000000 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>0000000 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]=>[5,8,7,6,1,3,4,2]=>0000000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>0000000 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>0000000 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,3,1,7,8,6,5]=>[5,6,8,7,1,3,4,2]=>0000000 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]=>0000000 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>0000000 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,3,5,1,8,7,6]=>[6,7,8,1,5,3,4,2]=>0000000 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,4,3,5,8,7,6,1]=>[1,6,7,8,5,3,4,2]=>1000000 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[1,7,8,5,6,3,4,2]=>1000000 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,8,7,5,1]=>[1,5,7,8,6,3,4,2]=>1000000 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,4,5,3,1,6,7,8]=>[8,7,6,1,3,5,4,2]=>0000000 [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,4,5,3,1,6,8,7]=>[7,8,6,1,3,5,4,2]=>0000000 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,4,5,3,1,8,7,6]=>[6,7,8,1,3,5,4,2]=>0000000 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,4,5,3,6,1,8,7]=>[7,8,1,6,3,5,4,2]=>0000000 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,4,5,3,6,8,7,1]=>[1,7,8,6,3,5,4,2]=>1000000 [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]=>1000000 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,6,3,8,7,1]=>[1,7,8,3,6,5,4,2]=>1000000 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,3,8,1]=>[1,8,3,7,6,5,4,2]=>1000000 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,2]=>1000000 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,7,8,6,3,1]=>[1,3,6,8,7,5,4,2]=>1000000 [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,4,5,8,7,6,3,1]=>[1,3,6,7,8,5,4,2]=>1000000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]=>1000000 [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,4,6,5,7,8,3,1]=>[1,3,8,7,5,6,4,2]=>1000000 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,6,5,8,7,3,1]=>[1,3,7,8,5,6,4,2]=>1000000 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,4,6,7,5,3,1,8]=>[8,1,3,5,7,6,4,2]=>0000000 [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,4,6,7,5,3,8,1]=>[1,8,3,5,7,6,4,2]=>1000000 [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,4,6,7,5,8,3,1]=>[1,3,8,5,7,6,4,2]=>1000000 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,2]=>1000000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>1000000 [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,4,7,6,5,3,1,8]=>[8,1,3,5,6,7,4,2]=>0000000 [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,4,7,6,5,8,3,1]=>[1,3,8,5,6,7,4,2]=>1000000 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]=>1000000 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[8,7,6,1,3,4,5,2]=>0000000 [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,5,4,3,1,6,8,7]=>[7,8,6,1,3,4,5,2]=>0000000 [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,4,3,1,7,8,6]=>[6,8,7,1,3,4,5,2]=>0000000 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,4,3,1,8,7,6]=>[6,7,8,1,3,4,5,2]=>0000000 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]=>1000000 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]=>1000000 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]=>1000000 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]=>1000000 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>1000000 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,5,4,6,7,3,8,1]=>[1,8,3,7,6,4,5,2]=>1000000 [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,5,4,7,6,3,1,8]=>[8,1,3,6,7,4,5,2]=>0000000 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]=>1000000 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,5,6,4,3,7,8,1]=>[1,8,7,3,4,6,5,2]=>1000000 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,5,6,4,7,3,1,8]=>[8,1,3,7,4,6,5,2]=>0000000 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]=>1000000 [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,5,7,6,4,3,8,1]=>[1,8,3,4,6,7,5,2]=>1000000 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,5,7,6,4,8,3,1]=>[1,3,8,4,6,7,5,2]=>1000000 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,5,8,7,6,4,3,1]=>[1,3,4,6,7,8,5,2]=>1000000 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,6,5,4,3,1,8,7]=>[7,8,1,3,4,5,6,2]=>0000000 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]=>1000000 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,6,5,4,3,8,7,1]=>[1,7,8,3,4,5,6,2]=>1000000 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,2]=>1000000 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>0000000 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>[5,8,7,6,4,1,2,3]=>0000000 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>0000000 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,2,1,4,7,6,8,5]=>[5,8,6,7,4,1,2,3]=>0000000 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,7,8,6,5]=>[5,6,8,7,4,1,2,3]=>0000000 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>0000000 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>0000000 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>[4,8,7,5,6,1,2,3]=>0000000 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]=>0000000 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,6,7,8,5,4]=>[4,5,8,7,6,1,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]=>[7,8,6,5,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,2,4,1,5,7,6,8]=>[8,6,7,5,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>[6,8,7,5,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]=>[6,7,8,5,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>[8,7,5,6,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,2,4,1,6,7,5,8]=>[8,5,7,6,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>[5,8,7,6,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,2,4,1,7,6,5,8]=>[8,5,6,7,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,7,8,6,5]=>[5,6,8,7,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]=>0000000 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]=>0000000 [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,2,4,6,5,7,1,8]=>[8,1,7,5,6,4,2,3]=>0000000 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,2,4,6,5,8,7,1]=>[1,7,8,5,6,4,2,3]=>1000000 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,2,4,6,8,7,5,1]=>[1,5,7,8,6,4,2,3]=>1000000 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,2,4,8,7,6,5,1]=>[1,5,6,7,8,4,2,3]=>1000000 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,3]=>0000000 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]=>0000000 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]=>0000000 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>0000000 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>1000000 [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,2,5,6,4,1,7,8]=>[8,7,1,4,6,5,2,3]=>0000000 [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,5,6,7,4,1,8]=>[8,1,4,7,6,5,2,3]=>0000000 [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,5,6,7,4,8,1]=>[1,8,4,7,6,5,2,3]=>1000000 [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,5,7,6,4,1,8]=>[8,1,4,6,7,5,2,3]=>0000000 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,5,7,6,4,8,1]=>[1,8,4,6,7,5,2,3]=>1000000 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,2,6,5,4,7,8,1]=>[1,8,7,4,5,6,2,3]=>1000000 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]=>1000000 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>1000000 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]=>0000000 [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,6,7,5,4,8,1]=>[1,8,4,5,7,6,2,3]=>1000000 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>0000000 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,2,7,6,5,8,4,1]=>[1,4,8,5,6,7,2,3]=>1000000 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]=>0000000 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4,2,1,6,7,8,5]=>[5,8,7,6,1,2,4,3]=>0000000 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,4,2,1,7,6,8,5]=>[5,8,6,7,1,2,4,3]=>0000000 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>0000000 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]=>0000000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]=>0000000 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,4,2,5,1,8,7,6]=>[6,7,8,1,5,2,4,3]=>0000000 [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,4,2,6,7,8,5,1]=>[1,5,8,7,6,2,4,3]=>1000000 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,2,8,7,6,5,1]=>[1,5,6,7,8,2,4,3]=>1000000 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,5,2,1,8,7,6]=>[6,7,8,1,2,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,5,2,6,1,8,7]=>[7,8,1,6,2,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]=>1000000 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,5,2,6,8,7,1]=>[1,7,8,6,2,5,4,3]=>1000000 [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,5,2,7,6,1,8]=>[8,1,6,7,2,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,5,2,7,6,8,1]=>[1,8,6,7,2,5,4,3]=>1000000 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,5,2,7,8,6,1]=>[1,6,8,7,2,5,4,3]=>1000000 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,6,2,1,8,7]=>[7,8,1,2,6,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]=>1000000 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]=>0000000 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]=>1000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]=>1100000 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,5,7,6,8,2,1]=>[1,2,8,6,7,5,4,3]=>1100000 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>1100000 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,4,6,5,2,7,1,8]=>[8,1,7,2,5,6,4,3]=>0000000 [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>0000000 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,4,7,6,5,2,8,1]=>[1,8,2,5,6,7,4,3]=>1000000 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,5,4,2,1,6,7,8]=>[8,7,6,1,2,4,5,3]=>0000000 [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,5,4,2,1,8,7,6]=>[6,7,8,1,2,4,5,3]=>0000000 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]=>0000000 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]=>0000000 [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]=>0000000 [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,5,4,6,2,7,8,1]=>[1,8,7,2,6,4,5,3]=>1000000 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,5,4,6,2,8,7,1]=>[1,7,8,2,6,4,5,3]=>1000000 [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,5,4,6,7,2,8,1]=>[1,8,2,7,6,4,5,3]=>1000000 [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,5,4,7,6,2,1,8]=>[8,1,2,6,7,4,5,3]=>0000000 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]=>0000000 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,5,6,4,2,7,1,8]=>[8,1,7,2,4,6,5,3]=>0000000 [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,5,6,4,7,2,1,8]=>[8,1,2,7,4,6,5,3]=>0000000 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]=>1100000 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,5,6,8,7,4,2,1]=>[1,2,4,7,8,6,5,3]=>1100000 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,3]=>1100000 [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,6,5,4,2,1,7,8]=>[8,7,1,2,4,5,6,3]=>0000000 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,6,5,4,2,1,8,7]=>[7,8,1,2,4,5,6,3]=>0000000 [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,6,5,4,2,7,1,8]=>[8,1,7,2,4,5,6,3]=>0000000 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,6,5,4,2,7,8,1]=>[1,8,7,2,4,5,6,3]=>1000000 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,6,5,4,2,8,7,1]=>[1,7,8,2,4,5,6,3]=>1000000 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,6,5,4,7,2,8,1]=>[1,8,2,7,4,5,6,3]=>1000000 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,6,7,5,4,2,8,1]=>[1,8,2,4,5,7,6,3]=>1000000 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,7,6,5,4,2,1,8]=>[8,1,2,4,5,6,7,3]=>0000000 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3]=>1000000 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3]=>1100000 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,3]=>1100000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>0000000 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]=>0000000 [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,3,2,5,1,6,8,7]=>[7,8,6,1,5,2,3,4]=>0000000 [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,3,2,5,1,7,6,8]=>[8,6,7,1,5,2,3,4]=>0000000 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>[6,7,8,1,5,2,3,4]=>0000000 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]=>0000000 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,3,2,5,7,6,8,1]=>[1,8,6,7,5,2,3,4]=>1000000 [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,3,2,5,7,8,6,1]=>[1,6,8,7,5,2,3,4]=>1000000 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>[1,6,7,8,5,2,3,4]=>1000000 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>[8,7,1,5,6,2,3,4]=>0000000 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,3,2,6,7,5,1,8]=>[8,1,5,7,6,2,3,4]=>0000000 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,6,7,5,8,1]=>[1,8,5,7,6,2,3,4]=>1000000 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,6,7,8,5,1]=>[1,5,8,7,6,2,3,4]=>1000000 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,6,8,7,5,1]=>[1,5,7,8,6,2,3,4]=>1000000 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,2,7,6,5,1,8]=>[8,1,5,6,7,2,3,4]=>0000000 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,7,8,6,5,1]=>[1,5,6,8,7,2,3,4]=>1000000 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]=>1000000 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]=>0000000 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]=>0000000 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]=>0000000 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>1000000 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,3,5,2,8,7,6,1]=>[1,6,7,8,2,5,3,4]=>1000000 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,3,5,6,8,7,2,1]=>[1,2,7,8,6,5,3,4]=>1100000 [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,3,5,7,6,2,1,8]=>[8,1,2,6,7,5,3,4]=>0000000 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,3,5,7,6,8,2,1]=>[1,2,8,6,7,5,3,4]=>1100000 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,7,8,6,2,1]=>[1,2,6,8,7,5,3,4]=>1100000 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,3,5,8,7,6,2,1]=>[1,2,6,7,8,5,3,4]=>1100000 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,3,6,5,2,7,1,8]=>[8,1,7,2,5,6,3,4]=>0000000 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>1000000 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4]=>1100000 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,6,7,8,5,2,1]=>[1,2,5,8,7,6,3,4]=>1100000 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,3,6,8,7,5,2,1]=>[1,2,5,7,8,6,3,4]=>1100000 [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,7,6,5,2,1,8]=>[8,1,2,5,6,7,3,4]=>0000000 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,7,6,5,2,8,1]=>[1,8,2,5,6,7,3,4]=>1000000 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,7,6,5,8,2,1]=>[1,2,8,5,6,7,3,4]=>1100000 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,7,8,6,5,2,1]=>[1,2,5,6,8,7,3,4]=>1100000 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]=>0000000 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,3,2,1,8,7,6]=>[6,7,8,1,2,3,5,4]=>0000000 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>0000000 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,5,3,2,6,1,8,7]=>[7,8,1,6,2,3,5,4]=>0000000 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]=>0000000 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,3,2,8,7,6,1]=>[1,6,7,8,2,3,5,4]=>1000000 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,5,3,6,2,1,8,7]=>[7,8,1,2,6,3,5,4]=>0000000 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>0000000 [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]=>1000000 [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]=>0000000 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]=>1000000 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]=>1100000 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,6,8,7,2,1]=>[1,2,7,8,6,3,5,4]=>1100000 [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,5,3,7,6,2,1,8]=>[8,1,2,6,7,3,5,4]=>0000000 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,3,7,6,8,2,1]=>[1,2,8,6,7,3,5,4]=>1100000 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,3,7,8,6,2,1]=>[1,2,6,8,7,3,5,4]=>1100000 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,3,8,7,6,2,1]=>[1,2,6,7,8,3,5,4]=>1100000 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]=>0000000 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,6,3,2,7,1,8]=>[8,1,7,2,3,6,5,4]=>0000000 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]=>1000000 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,6,3,2,8,7,1]=>[1,7,8,2,3,6,5,4]=>1000000 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]=>0000000 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]=>1000000 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]=>1100000 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,6,3,8,7,2,1]=>[1,2,7,8,3,6,5,4]=>1100000 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>0000000 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]=>1000000 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]=>1100000 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>1110000 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]=>1110000 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,5,7,6,8,3,2,1]=>[1,2,3,8,6,7,5,4]=>1110000 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]=>1110000 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]=>1110000 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]=>0000000 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]=>1110000 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,6,5,8,7,3,2,1]=>[1,2,3,7,8,5,6,4]=>1110000 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,6,7,5,3,8,2,1]=>[1,2,8,3,5,7,6,4]=>1100000 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,5,8,3,2,1]=>[1,2,3,8,5,7,6,4]=>1110000 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]=>1110000 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]=>1110000 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>0000000 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,7,6,5,3,2,8,1]=>[1,8,2,3,5,6,7,4]=>1000000 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,7,6,5,3,8,2,1]=>[1,2,8,3,5,6,7,4]=>1100000 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,4]=>1110000 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4]=>1110000 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]=>1110000 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>1110000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[7,8,1,6,2,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>1000000 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]=>1000000 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]=>1000000 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]=>1000000 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>1000000 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,4,3,6,2,1,8,7]=>[7,8,1,2,6,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]=>1000000 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>0000000 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]=>1000000 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,4,3,6,8,7,2,1]=>[1,2,7,8,6,3,4,5]=>1100000 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,4,3,7,8,6,2,1]=>[1,2,6,8,7,3,4,5]=>1100000 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5]=>1100000 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]=>0000000 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,4,6,3,2,1,8,7]=>[7,8,1,2,3,6,4,5]=>0000000 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]=>0000000 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]=>1000000 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,4,6,3,2,8,7,1]=>[1,7,8,2,3,6,4,5]=>1000000 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]=>0000000 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>1000000 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,4,6,3,8,7,2,1]=>[1,2,7,8,3,6,4,5]=>1100000 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]=>1100000 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]=>1110000 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,4,6,8,7,3,2,1]=>[1,2,3,7,8,6,4,5]=>1110000 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,4,7,6,8,3,2,1]=>[1,2,3,8,6,7,4,5]=>1110000 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,4,7,8,6,3,2,1]=>[1,2,3,6,8,7,4,5]=>1110000 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,4,8,7,6,3,2,1]=>[1,2,3,6,7,8,4,5]=>1110000 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,6,4,3,2,1,8,7]=>[7,8,1,2,3,4,6,5]=>0000000 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,6,4,3,8,7,2,1]=>[1,2,7,8,3,4,6,5]=>1100000 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]=>1110000 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,6,4,8,7,3,2,1]=>[1,2,3,7,8,4,6,5]=>1110000 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>0000000 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]=>1110000 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>1111000 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]=>1111000 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,7,6,4,3,2,8,1]=>[1,8,2,3,4,6,7,5]=>1000000 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,7,6,4,3,8,2,1]=>[1,2,8,3,4,6,7,5]=>1100000 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,7,6,4,8,3,2,1]=>[1,2,3,8,4,6,7,5]=>1110000 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]=>1111000 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5]=>1111000 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>1111000 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>0000000 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]=>1000000 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>1000000 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>0000000 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>1000000 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]=>1100000 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6]=>1100000 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]=>1110000 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6]=>1110000 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>1110000 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]=>1111000 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]=>1111000 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]=>1100000 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]=>1110000 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]=>1111000 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>1111100 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>1111100 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>1000000 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]=>1100000 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>1110000 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>1111000 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>1111100 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>1111110 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>1111111 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>000000000 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]=>111110000 [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,1,7,8,9,10,6,5,4,3]=>[3,4,5,6,10,9,8,7,1,2]=>000000000