=>

[1,0]=>[1]=>[1]=>[1]=> [1,0,1,0]=>[2,1]=>[2,1]=>[2,1]=>0 [1,1,0,0]=>[1,2]=>[1,2]=>[1,2]=>1 [1,0,1,0,1,0]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>00 [1,0,1,1,0,0]=>[2,3,1]=>[3,2,1]=>[3,2,1]=>00 [1,1,0,0,1,0]=>[3,1,2]=>[3,2,1]=>[3,2,1]=>00 [1,1,0,1,0,0]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>01 [1,1,1,0,0,0]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>11 [1,0,1,0,1,0,1,0]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>000 [1,0,1,0,1,1,0,0]=>[3,4,2,1]=>[4,3,2,1]=>[4,3,2,1]=>000 [1,0,1,1,0,0,1,0]=>[4,2,3,1]=>[4,3,2,1]=>[4,3,2,1]=>000 [1,0,1,1,0,1,0,0]=>[3,2,4,1]=>[4,2,3,1]=>[2,4,3,1]=>000 [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,2,3,1]=>[2,4,3,1]=>000 [1,1,0,0,1,0,1,0]=>[4,3,1,2]=>[4,3,2,1]=>[4,3,2,1]=>000 [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[4,3,2,1]=>[4,3,2,1]=>000 [1,1,0,1,0,0,1,0]=>[4,2,1,3]=>[4,3,2,1]=>[4,3,2,1]=>000 [1,1,0,1,0,1,0,0]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>001 [1,1,0,1,1,0,0,0]=>[2,3,1,4]=>[3,2,1,4]=>[3,2,1,4]=>001 [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[4,2,3,1]=>[2,4,3,1]=>000 [1,1,1,0,0,1,0,0]=>[3,1,2,4]=>[3,2,1,4]=>[3,2,1,4]=>001 [1,1,1,0,1,0,0,0]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>011 [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>111 [1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,0,1,0,1,0,1,1,0,0]=>[4,5,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,0,1,0,1,1,0,0,1,0]=>[5,3,4,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,0,1,0,1,1,0,1,0,0]=>[4,3,5,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,0,1,0,1,1,1,0,0,0]=>[3,4,5,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,0,1,1,0,0,1,0,1,0]=>[5,4,2,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,0,1,1,0,0,1,1,0,0]=>[4,5,2,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,0,1,1,0,1,0,0,1,0]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1]=>[5,3,2,4,1]=>[3,2,5,4,1]=>0000 [1,0,1,1,0,1,1,0,0,0]=>[3,4,2,5,1]=>[5,3,2,4,1]=>[3,2,5,4,1]=>0000 [1,0,1,1,1,0,0,0,1,0]=>[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1]=>[5,3,2,4,1]=>[3,2,5,4,1]=>0000 [1,0,1,1,1,0,1,0,0,0]=>[3,2,4,5,1]=>[5,2,3,4,1]=>[2,3,5,4,1]=>0000 [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,3,5,4,1]=>0000 [1,1,0,0,1,0,1,0,1,0]=>[5,4,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,0,0,1,0,1,1,0,0]=>[4,5,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,0,0,1,1,0,0,1,0]=>[5,3,4,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,0,0,1,1,0,1,0,0]=>[4,3,5,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,0,1,0,0,1,0,1,0]=>[5,4,2,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,0,1,0,0,1,1,0,0]=>[4,5,2,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,0,1,0,1,0,0,1,0]=>[5,3,2,1,4]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>0001 [1,1,0,1,0,1,1,0,0,0]=>[3,4,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>0001 [1,1,0,1,1,0,0,0,1,0]=>[5,2,3,1,4]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,0,1,1,0,0,1,0,0]=>[4,2,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>0001 [1,1,0,1,1,0,1,0,0,0]=>[3,2,4,1,5]=>[4,2,3,1,5]=>[2,4,3,1,5]=>0001 [1,1,0,1,1,1,0,0,0,0]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,4,3,1,5]=>0001 [1,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,1,0,0,1,0,0,1,0]=>[5,3,1,2,4]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000 [1,1,1,0,0,1,0,1,0,0]=>[4,3,1,2,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>0001 [1,1,1,0,0,1,1,0,0,0]=>[3,4,1,2,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>0001 [1,1,1,0,1,0,0,0,1,0]=>[5,2,1,3,4]=>[5,3,2,4,1]=>[3,2,5,4,1]=>0000 [1,1,1,0,1,0,0,1,0,0]=>[4,2,1,3,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>0001 [1,1,1,0,1,0,1,0,0,0]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>0011 [1,1,1,0,1,1,0,0,0,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>0011 [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[5,2,3,4,1]=>[2,3,5,4,1]=>0000 [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,3,5]=>[4,2,3,1,5]=>[2,4,3,1,5]=>0001 [1,1,1,1,0,0,1,0,0,0]=>[3,1,2,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>0011 [1,1,1,1,0,1,0,0,0,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>0111 [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>1111 [1,0,1,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,2,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,2,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,2,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,2,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,0,1,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,1]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,6,1]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,0,1,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,6,1]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,0,1,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,6,1]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,6,1]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,0,1,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,6,1]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,6,1]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,0,1,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,0,1,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,6,1]=>[6,3,2,4,5,1]=>[3,2,4,6,5,1]=>00000 [1,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,6,1]=>[6,3,2,4,5,1]=>[3,2,4,6,5,1]=>00000 [1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,0,1,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,6,1]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,6,1]=>[6,3,2,4,5,1]=>[3,2,4,6,5,1]=>00000 [1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,6,1]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1]=>00000 [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1]=>00000 [1,1,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,1,2]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,1,2]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,1,2]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,0,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,1,2]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,0,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,0,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,0,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,0,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,0,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,0,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,0,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,1,5]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,0,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,1,6]=>[5,3,2,4,1,6]=>[3,2,5,4,1,6]=>00001 [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[3,2,5,4,1,6]=>00001 [1,1,0,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,1,5]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,0,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6]=>[5,3,2,4,1,6]=>[3,2,5,4,1,6]=>00001 [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[2,3,5,4,1,6]=>00001 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[2,3,5,4,1,6]=>00001 [1,1,1,0,0,0,1,0,1,0,1,0]=>[6,5,4,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,0,0,1,0,1,1,0,0]=>[5,6,4,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,5,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,0,0,1,1,0,1,0,0]=>[5,4,6,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,0,1,0,0,1,0,1,0]=>[6,5,3,1,2,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,0,1,0,0,1,1,0,0]=>[5,6,3,1,2,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,0,1,0,1,0,0,1,0]=>[6,4,3,1,2,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,0,1,0,1,0,1,0,0]=>[5,4,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,0,0,1,0,1,1,0,0,0]=>[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,0,0,1,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,4,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,0,0,1,1,0,1,0,0,0]=>[4,3,5,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,0,1,0,0,0,1,0,1,0]=>[6,5,2,1,3,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,1,0,0,0,1,1,0,0]=>[5,6,2,1,3,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,1,0,0,1,0,0,1,0]=>[6,4,2,1,3,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>00000 [1,1,1,0,1,0,0,1,0,1,0,0]=>[5,4,2,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,5,2,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,0,1,0,1,0,0,0,1,0]=>[6,3,2,1,4,5]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,3,2,1,4,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>00011 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>00011 [1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,1,4,5]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,3,1,4,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>00011 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,4,1,5,6]=>[4,2,3,1,5,6]=>[2,4,3,1,5,6]=>00011 [1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[2,4,3,1,5,6]=>00011 [1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,2,3,4]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,1,1,0,0,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>00000 [1,1,1,1,0,0,0,1,0,1,0,0]=>[5,4,1,2,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,2,4,5]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>00000 [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,1,2,4,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>00001 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,1,2,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>00011 [1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>00011 [1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,3,4,5]=>[6,3,2,4,5,1]=>[3,2,4,6,5,1]=>00000 [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,2,1,3,4,6]=>[5,3,2,4,1,6]=>[3,2,5,4,1,6]=>00001 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,3,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>00011 [1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>00111 [1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>00111 [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1]=>00000 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,4,6]=>[5,2,3,4,1,6]=>[2,3,5,4,1,6]=>00001 [1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,3,5,6]=>[4,2,3,1,5,6]=>[2,4,3,1,5,6]=>00011 [1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>00111 [1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>01111 [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>11111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>000000 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>000000 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>000000 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>000000 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,1,6]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,1,6]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,1,6]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,1,6]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>000001 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>000001 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,1,6]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>000001 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>000001 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>000001 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,1,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,1,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,1,4,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,1,5,6]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,1,5,6]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,1,4,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,1,5,6]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,1,5,6]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>000011 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>000011 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,1,5,6]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>000011 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>000011 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>000011 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[6,7,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[7,5,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[6,5,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[7,6,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[6,7,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[7,5,4,1,2,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[5,6,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[7,4,5,1,2,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[6,4,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[7,6,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,7,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[7,5,3,1,2,4,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>000000 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[6,5,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,6,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,4,3,1,2,5,6]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,4,3,1,2,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,1,2,5,6]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[7,6,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,7,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[7,5,2,1,3,4,6]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>000000 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,4,2,1,3,5,6]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>000000 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>000001 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,2,1,4,5,6]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>000111 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>000111 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,3,1,4,5,6]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>000111 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>000111 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>000111 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,5,1,2,3,4,6]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>000000 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,5,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,2,3,5,6]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>000000 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,1,2,3,5,7]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>000001 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,5,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,2,4,5,6]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>000000 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,3,1,2,4,5,7]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>000001 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,3,1,2,4,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>000011 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>000111 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>000111 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,3,4,5,6]=>[7,3,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>000000 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>000001 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>000011 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>000111 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>001111 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>001111 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>000000 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,5,7]=>[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>000001 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,2,3,4,6,7]=>[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>000011 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,2,3,5,6,7]=>[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>000111 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>001111 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>011111 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[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]=>[8,7,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[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]=>[6,7,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>0000000 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>0000000 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>0000000 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>0000000 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>0000000 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>0000000 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>0000000 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[6,5,2,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>0000000 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>0000000 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>0000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,2,1,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>0000001 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,2,1,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>0000001 [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>0000001 [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[3,5,4,2,7,6,1,8]=>0000001 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[3,5,4,2,7,6,1,8]=>0000001 [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>0000001 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[3,5,4,2,7,6,1,8]=>0000001 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,4,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,4,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,4,5,1,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>0000001 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>0000001 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[3,5,4,2,7,6,1,8]=>0000001 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[3,5,4,2,7,6,1,8]=>0000001 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>0000001 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,3,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,1,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,4,1,5,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[4,3,2,6,5,1,7,8]=>0000011 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[4,3,2,6,5,1,7,8]=>0000011 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,3,4,1,6,7]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,5,1,6,7]=>[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>0000000 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[4,3,2,6,5,1,7,8]=>0000011 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,1,6,8]=>[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>0000001 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,1,2,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,1,2,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,1,2,6,7]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,1,3,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,1,3,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>0000000 [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,2,1,3,6,7]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,1,4,6,7]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,2,1,5,6,7]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,1,5,6,8]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>0000001 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>0000111 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>0000111 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>0000111 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>0000111 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>0000111 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,1,2,3,5,6]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,1,2,3,5,7]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0000000 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,1,2,3,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,1,2,4,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,1,2,4,6,7]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>0000000 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,1,2,4,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>0000001 [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>0000001 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,1,2,5,6,7]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[7,3,4,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>0000001 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,1,3,5,6,7]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>0000000 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,1,4,5,6,7]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>0000000 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>0001111 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>0001111 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,1,4,5,6,7]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>0000000 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>0001111 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>0001111 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>0001111 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,7,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>0000001 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[7,5,1,2,3,4,6,8]=>[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>0000001 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[5,4,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[4,5,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[8,3,1,2,4,5,6,7]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>0000000 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[5,3,1,2,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>0000111 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[4,3,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>0001111 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>0001111 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[5,2,1,3,4,6,7,8]=>[5,3,2,4,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>0000111 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>0001111 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>0011111 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>0011111 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[5,2,3,4,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>0000111 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[4,1,2,3,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>0001111 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>0011111 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>0111111 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1111111 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>000011111