=>

[1,2]=>[1,2]=>[1,0,1,0]=>[1]=>0 [1,2,3]=>[1,2,3]=>[1,0,1,0,1,0]=>[2,1]=>0 [1,3,2]=>[1,3,2]=>[1,0,1,1,0,0]=>[1,1]=>1 [2,1,3]=>[2,1,3]=>[1,1,0,0,1,0]=>[2]=>1 [1,2,3,4]=>[1,2,3,4]=>[1,0,1,0,1,0,1,0]=>[3,2,1]=>1 [1,2,4,3]=>[1,2,4,3]=>[1,0,1,0,1,1,0,0]=>[2,2,1]=>1 [1,3,2,4]=>[1,3,2,4]=>[1,0,1,1,0,0,1,0]=>[3,1,1]=>1 [1,3,4,2]=>[1,4,3,2]=>[1,0,1,1,1,0,0,0]=>[1,1,1]=>1 [1,4,2,3]=>[1,4,3,2]=>[1,0,1,1,1,0,0,0]=>[1,1,1]=>1 [1,4,3,2]=>[1,4,3,2]=>[1,0,1,1,1,0,0,0]=>[1,1,1]=>1 [2,1,3,4]=>[2,1,3,4]=>[1,1,0,0,1,0,1,0]=>[3,2]=>1 [2,1,4,3]=>[2,1,4,3]=>[1,1,0,0,1,1,0,0]=>[2,2]=>1 [2,3,1,4]=>[3,2,1,4]=>[1,1,1,0,0,0,1,0]=>[3]=>1 [2,4,1,3]=>[3,4,1,2]=>[1,1,1,0,1,0,0,0]=>[1]=>0 [3,1,2,4]=>[3,2,1,4]=>[1,1,1,0,0,0,1,0]=>[3]=>1 [3,2,1,4]=>[3,2,1,4]=>[1,1,1,0,0,0,1,0]=>[3]=>1 [1,2,3,4,5]=>[1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1]=>1 [1,2,3,5,4]=>[1,2,3,5,4]=>[1,0,1,0,1,0,1,1,0,0]=>[3,3,2,1]=>1 [1,2,4,3,5]=>[1,2,4,3,5]=>[1,0,1,0,1,1,0,0,1,0]=>[4,2,2,1]=>1 [1,2,4,5,3]=>[1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>[2,2,2,1]=>1 [1,2,5,3,4]=>[1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>[2,2,2,1]=>1 [1,2,5,4,3]=>[1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>[2,2,2,1]=>1 [1,3,2,4,5]=>[1,3,2,4,5]=>[1,0,1,1,0,0,1,0,1,0]=>[4,3,1,1]=>1 [1,3,2,5,4]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>[3,3,1,1]=>1 [1,3,4,2,5]=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>[4,1,1,1]=>1 [1,3,4,5,2]=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,3,5,2,4]=>[1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0]=>[2,1,1,1]=>1 [1,3,5,4,2]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,4,2,3,5]=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>[4,1,1,1]=>1 [1,4,2,5,3]=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,4,3,2,5]=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>[4,1,1,1]=>1 [1,4,3,5,2]=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,4,5,2,3]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,4,5,3,2]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,5,2,3,4]=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,5,2,4,3]=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,5,3,2,4]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,5,3,4,2]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,5,4,2,3]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [1,5,4,3,2]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1]=>2 [2,1,3,4,5]=>[2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0]=>[4,3,2]=>1 [2,1,3,5,4]=>[2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0]=>[3,3,2]=>1 [2,1,4,3,5]=>[2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>[4,2,2]=>1 [2,1,4,5,3]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>[2,2,2]=>1 [2,1,5,3,4]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>[2,2,2]=>1 [2,1,5,4,3]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>[2,2,2]=>1 [2,3,1,4,5]=>[3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>[4,3]=>1 [2,3,1,5,4]=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>[3,3]=>1 [2,3,4,1,5]=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [2,3,5,1,4]=>[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>[2]=>1 [2,4,1,3,5]=>[3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0]=>[4,1]=>1 [2,4,1,5,3]=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1]=>1 [2,4,3,1,5]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [2,4,5,1,3]=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>0 [2,5,1,3,4]=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1]=>1 [2,5,1,4,3]=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>[1,1]=>1 [2,5,3,1,4]=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>0 [2,5,4,1,3]=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>0 [3,1,2,4,5]=>[3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>[4,3]=>1 [3,1,2,5,4]=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>[3,3]=>1 [3,1,4,2,5]=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [3,1,5,2,4]=>[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>[2]=>1 [3,2,1,4,5]=>[3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>[4,3]=>1 [3,2,1,5,4]=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>[3,3]=>1 [3,2,4,1,5]=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [3,2,5,1,4]=>[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>[2]=>1 [3,4,1,2,5]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [3,4,2,1,5]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [3,5,1,2,4]=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>0 [3,5,2,1,4]=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>[1]=>0 [4,1,2,3,5]=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [4,1,3,2,5]=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [4,2,1,3,5]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [4,2,3,1,5]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [4,3,1,2,5]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [4,3,2,1,5]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4]=>2 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1]=>2 [1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[4,4,3,2,1]=>2 [1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[5,3,3,2,1]=>2 [1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[3,3,3,2,1]=>2 [1,2,3,6,4,5]=>[1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[3,3,3,2,1]=>2 [1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[3,3,3,2,1]=>2 [1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[5,4,2,2,1]=>2 [1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[4,4,2,2,1]=>2 [1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[5,2,2,2,1]=>2 [1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,4,6,3,5]=>[1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,2,2,1]=>1 [1,2,4,6,5,3]=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,5,3,4,6]=>[1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[5,2,2,2,1]=>2 [1,2,5,3,6,4]=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[5,2,2,2,1]=>2 [1,2,5,4,6,3]=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,5,6,3,4]=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,5,6,4,3]=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,6,3,4,5]=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,6,3,5,4]=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,6,4,3,5]=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,6,5,3,4]=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[2,2,2,2,1]=>2 [1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[5,4,3,1,1]=>2 [1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[4,4,3,1,1]=>2 [1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[5,3,3,1,1]=>2 [1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[3,3,3,1,1]=>2 [1,3,2,6,4,5]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[3,3,3,1,1]=>2 [1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[3,3,3,1,1]=>2 [1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[5,4,1,1,1]=>2 [1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[4,4,1,1,1]=>2 [1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,3,4,6,2,5]=>[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,1,1,1]=>2 [1,3,4,6,5,2]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,3,5,2,4,6]=>[1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[5,2,1,1,1]=>1 [1,3,5,2,6,4]=>[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,2,1,1,1]=>1 [1,3,5,4,2,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,3,5,4,6,2]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,3,5,6,2,4]=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>1 [1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,3,6,2,4,5]=>[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,2,1,1,1]=>1 [1,3,6,2,5,4]=>[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[2,2,1,1,1]=>1 [1,3,6,4,2,5]=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>1 [1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,3,6,5,2,4]=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>1 [1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,2,3,5,6]=>[1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[5,4,1,1,1]=>2 [1,4,2,3,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[4,4,1,1,1]=>2 [1,4,2,5,3,6]=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,4,2,5,6,3]=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,2,6,3,5]=>[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,1,1,1]=>2 [1,4,2,6,5,3]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[5,4,1,1,1]=>2 [1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[4,4,1,1,1]=>2 [1,4,3,5,2,6]=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,4,3,5,6,2]=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,3,6,2,5]=>[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,1,1,1]=>2 [1,4,3,6,5,2]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,5,2,3,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,4,5,2,6,3]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,5,3,2,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,4,5,3,6,2]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,6,2,3,5]=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>1 [1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,6,3,2,5]=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,1,1,1]=>1 [1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,2,3,4,6]=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,5,2,3,6,4]=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,2,4,3,6]=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,5,2,4,6,3]=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,2,6,3,4]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,2,6,4,3]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,3,2,4,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,5,3,2,6,4]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,5,3,4,6,2]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,4,2,3,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,5,4,2,6,3]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[5,1,1,1,1]=>2 [1,5,4,3,6,2]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,3,4,5]=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,3,5,4]=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,4,3,5]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,4,5,3]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,5,3,4]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,5,4,3]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,3,2,4,5]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,3,2,5,4]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2]=>2 [2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[4,4,3,2]=>1 [2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[5,3,3,2]=>2 [2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[3,3,3,2]=>2 [2,1,3,6,4,5]=>[2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[3,3,3,2]=>2 [2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[3,3,3,2]=>2 [2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[5,4,2,2]=>2 [2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[4,4,2,2]=>2 [2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[5,2,2,2]=>2 [2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,4,6,3,5]=>[2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,2,2]=>1 [2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,5,3,4,6]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[5,2,2,2]=>2 [2,1,5,3,6,4]=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[5,2,2,2]=>2 [2,1,5,4,6,3]=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,6,3,4,5]=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,6,3,5,4]=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,2,2]=>2 [2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[5,4,3]=>2 [2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[4,4,3]=>2 [2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[5,3,3]=>2 [2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>1 [2,3,1,6,4,5]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>1 [2,3,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>1 [2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [2,3,4,6,1,5]=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [2,3,5,1,4,6]=>[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,2]=>1 [2,3,5,1,6,4]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>1 [2,3,5,4,1,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [2,3,5,6,1,4]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [2,3,6,1,4,5]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>1 [2,3,6,1,5,4]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>1 [2,3,6,4,1,5]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [2,3,6,5,1,4]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [2,4,1,3,5,6]=>[3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[5,4,1]=>1 [2,4,1,3,6,5]=>[3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[4,4,1]=>1 [2,4,1,5,3,6]=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1,1]=>2 [2,4,1,5,6,3]=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,4,1,6,3,5]=>[3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,1,1]=>1 [2,4,1,6,5,3]=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,4,3,1,5,6]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [2,4,3,1,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [2,4,3,5,1,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [2,4,3,6,1,5]=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [2,4,5,1,3,6]=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>1 [2,4,5,1,6,3]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,4,5,3,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [2,4,5,6,1,3]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,4,6,1,3,5]=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1]=>0 [2,4,6,1,5,3]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,4,6,3,1,5]=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [2,4,6,5,1,3]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,5,1,3,4,6]=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1,1]=>2 [2,5,1,3,6,4]=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,5,1,4,3,6]=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1,1]=>2 [2,5,1,4,6,3]=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,5,1,6,3,4]=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,5,1,6,4,3]=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,5,3,1,4,6]=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>1 [2,5,3,1,6,4]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,5,3,4,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [2,5,3,6,1,4]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,5,4,1,3,6]=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>1 [2,5,4,1,6,3]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,5,4,3,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [2,5,4,6,1,3]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,5,6,1,3,4]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,5,6,1,4,3]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,5,6,3,1,4]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,5,6,4,1,3]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,6,1,3,4,5]=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,6,1,3,5,4]=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,6,1,4,3,5]=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,6,1,4,5,3]=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,6,1,5,3,4]=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,6,1,5,4,3]=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1]=>1 [2,6,3,1,4,5]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,6,3,1,5,4]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,6,3,4,1,5]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,6,3,5,1,4]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,6,4,1,3,5]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,6,4,1,5,3]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,6,4,3,1,5]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,6,4,5,1,3]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,6,5,1,3,4]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,6,5,1,4,3]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [2,6,5,3,1,4]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [2,6,5,4,1,3]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[5,4,3]=>2 [3,1,2,4,6,5]=>[3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[4,4,3]=>2 [3,1,2,5,4,6]=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[5,3,3]=>2 [3,1,2,5,6,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>1 [3,1,2,6,4,5]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>1 [3,1,2,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>1 [3,1,4,2,5,6]=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [3,1,4,2,6,5]=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [3,1,4,5,2,6]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,1,4,6,2,5]=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [3,1,5,2,4,6]=>[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,2]=>1 [3,1,5,2,6,4]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>1 [3,1,5,4,2,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,1,5,6,2,4]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [3,1,6,2,4,5]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>1 [3,1,6,2,5,4]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>1 [3,1,6,4,2,5]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [3,1,6,5,2,4]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[5,4,3]=>2 [3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[4,4,3]=>2 [3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[5,3,3]=>2 [3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>1 [3,2,1,6,4,5]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>1 [3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>1 [3,2,4,1,5,6]=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [3,2,4,1,6,5]=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,2,4,6,1,5]=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [3,2,5,1,4,6]=>[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[5,2]=>1 [3,2,5,1,6,4]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>1 [3,2,5,4,1,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,2,5,6,1,4]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [3,2,6,1,4,5]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>1 [3,2,6,1,5,4]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[2,2]=>1 [3,2,6,4,1,5]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [3,2,6,5,1,4]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [3,4,1,2,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [3,4,1,5,2,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,4,1,6,2,5]=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [3,4,2,1,5,6]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [3,4,2,1,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,4,2,6,1,5]=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [3,4,5,1,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,4,5,2,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,4,6,1,2,5]=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [3,4,6,2,1,5]=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [3,5,1,2,4,6]=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>1 [3,5,1,2,6,4]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [3,5,1,4,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,5,1,6,2,4]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,5,2,1,4,6]=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>1 [3,5,2,1,6,4]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [3,5,2,4,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,5,2,6,1,4]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,5,4,1,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,5,4,2,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [3,5,6,1,2,4]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,5,6,2,1,4]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,6,1,2,4,5]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [3,6,1,2,5,4]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [3,6,1,4,2,5]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,6,1,5,2,4]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,6,2,1,4,5]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [3,6,2,1,5,4]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1]=>1 [3,6,2,4,1,5]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,6,2,5,1,4]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,6,4,1,2,5]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,6,4,2,1,5]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,6,5,1,2,4]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [3,6,5,2,1,4]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [4,1,2,3,5,6]=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [4,1,2,3,6,5]=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [4,1,2,5,3,6]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,1,2,6,3,5]=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [4,1,3,2,5,6]=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [4,1,3,2,6,5]=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [4,1,3,5,2,6]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,1,3,6,2,5]=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [4,1,5,2,3,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,1,5,3,2,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,1,6,2,3,5]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [4,1,6,3,2,5]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [4,2,1,3,5,6]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [4,2,1,3,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [4,2,1,5,3,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,2,1,6,3,5]=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [4,2,3,1,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [4,2,3,5,1,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,2,3,6,1,5]=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [4,2,5,1,3,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,2,5,3,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,2,6,1,3,5]=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [4,2,6,3,1,5]=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [4,3,1,2,5,6]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [4,3,1,2,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [4,3,1,5,2,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,3,1,6,2,5]=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[5,4]=>2 [4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4]=>2 [4,3,2,5,1,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,3,2,6,1,5]=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[3]=>1 [4,3,5,1,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,3,5,2,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,3,6,1,2,5]=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [4,3,6,2,1,5]=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[2]=>1 [4,5,1,2,3,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,5,1,3,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,5,2,1,3,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,5,2,3,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,5,3,2,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [4,6,1,2,3,5]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [4,6,1,3,2,5]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [4,6,2,1,3,5]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [4,6,2,3,1,5]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [4,6,3,1,2,5]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [4,6,3,2,1,5]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[1]=>0 [5,1,2,3,4,6]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,1,2,4,3,6]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,1,3,2,4,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,1,3,4,2,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,1,4,2,3,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,1,4,3,2,6]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,2,1,3,4,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,2,1,4,3,6]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,2,3,1,4,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,2,4,1,3,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,3,1,2,4,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,3,1,4,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,3,2,1,4,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,3,4,1,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,3,4,2,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,4,1,2,3,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,4,1,3,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,4,2,1,3,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,4,2,3,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,4,3,1,2,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5]=>2 [1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,5,7,4,6]=>[1,2,3,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,3,3,2,1]=>2 [1,2,3,5,7,6,4]=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,6,4,7,5]=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,6,5,7,4]=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,6,7,4,5]=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,6,7,5,4]=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,7,4,5,6]=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,7,4,6,5]=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,7,5,4,6]=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,7,5,6,4]=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,7,6,4,5]=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2,1]=>2 [1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[4,4,4,2,2,1]=>2 [1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[4,4,4,2,2,1]=>2 [1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[4,4,4,2,2,1]=>2 [1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[5,5,2,2,2,1]=>2 [1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,4,5,7,3,6]=>[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,2,2,2,1]=>2 [1,2,4,5,7,6,3]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,4,6,3,5,7]=>[1,2,5,6,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,2,2,1]=>2 [1,2,4,6,3,7,5]=>[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2,2,2,1]=>2 [1,2,4,6,5,3,7]=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,4,6,5,7,3]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,4,6,7,3,5]=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2,1]=>2 [1,2,4,6,7,5,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,4,7,3,5,6]=>[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2,2,2,1]=>2 [1,2,4,7,3,6,5]=>[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2,2,2,1]=>2 [1,2,4,7,5,3,6]=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2,1]=>2 [1,2,4,7,5,6,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,4,7,6,3,5]=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2,1]=>2 [1,2,4,7,6,5,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[5,5,2,2,2,1]=>2 [1,2,5,3,6,4,7]=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,5,3,6,7,4]=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,3,7,4,6]=>[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,2,2,2,1]=>2 [1,2,5,3,7,6,4]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[5,5,2,2,2,1]=>2 [1,2,5,4,6,3,7]=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,5,4,6,7,3]=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,4,7,3,6]=>[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,2,2,2,1]=>2 [1,2,5,4,7,6,3]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,6,3,4,7]=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,5,6,3,7,4]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,6,4,3,7]=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,5,6,4,7,3]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,6,7,3,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,6,7,4,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,7,3,4,6]=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2,1]=>2 [1,2,5,7,3,6,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,7,4,3,6]=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2,1]=>2 [1,2,5,7,4,6,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,7,6,3,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,5,7,6,4,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,3,4,5,7]=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,6,3,4,7,5]=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,3,5,4,7]=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,6,3,5,7,4]=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,3,7,4,5]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,3,7,5,4]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,4,3,5,7]=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,6,4,3,7,5]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,4,5,3,7]=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,6,4,5,7,3]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,4,7,3,5]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,4,7,5,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,5,3,4,7]=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,6,5,3,7,4]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2,1]=>2 [1,2,6,5,4,7,3]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,5,7,3,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,5,7,4,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,7,3,4,5]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,7,3,5,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,7,4,3,5]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,7,4,5,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,7,5,3,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,6,7,5,4,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,3,4,5,6]=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,3,4,6,5]=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,3,5,4,6]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,3,5,6,4]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,3,6,4,5]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,3,6,5,4]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,4,3,5,6]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,4,3,6,5]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,4,5,3,6]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,4,5,6,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,4,6,3,5]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,4,6,5,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,5,3,4,6]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,5,3,6,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,5,4,3,6]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,5,4,6,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,5,6,3,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,5,6,4,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,6,3,4,5]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,6,3,5,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,6,4,3,5]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,6,4,5,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,6,5,3,4]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2,1]=>2 [1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3,1,1]=>2 [1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3,1,1]=>2 [1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3,1,1]=>2 [1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3,1,1]=>2 [1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,5,7,4,6]=>[1,3,2,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[4,3,3,3,1,1]=>2 [1,3,2,5,7,6,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3,1,1]=>2 [1,3,2,6,4,7,5]=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3,1,1]=>2 [1,3,2,6,5,7,4]=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,6,7,4,5]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,6,7,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,7,4,5,6]=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,7,4,6,5]=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,7,5,4,6]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,7,5,6,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,7,6,4,5]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,1,1]=>2 [1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[5,5,4,1,1,1]=>2 [1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,4,1,1,1]=>2 [1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1,1,1]=>2 [1,3,4,2,7,5,6]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1,1,1]=>2 [1,3,4,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1,1,1]=>2 [1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,4,5,7,2,6]=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,3,4,5,7,6,2]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,4,6,2,5,7]=>[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,1,1,1]=>2 [1,3,4,6,2,7,5]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1,1,1]=>2 [1,3,4,6,5,2,7]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,3,4,6,5,7,2]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,4,6,7,2,5]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,3,4,6,7,5,2]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,4,7,2,5,6]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1,1,1]=>2 [1,3,4,7,2,6,5]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1,1,1]=>2 [1,3,4,7,5,2,6]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,3,4,7,5,6,2]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,4,7,6,2,5]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,3,4,7,6,5,2]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,5,2,4,6,7]=>[1,4,5,2,3,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[6,5,2,1,1,1]=>2 [1,3,5,2,4,7,6]=>[1,4,5,2,3,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[5,5,2,1,1,1]=>2 [1,3,5,2,6,4,7]=>[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,2,1,1,1]=>2 [1,3,5,2,6,7,4]=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,5,2,7,4,6]=>[1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,2,1,1,1]=>2 [1,3,5,2,7,6,4]=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,5,4,2,6,7]=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,3,5,4,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,3,5,4,6,2,7]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,3,5,4,6,7,2]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,5,4,7,2,6]=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,3,5,4,7,6,2]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,5,6,2,4,7]=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,1,1,1]=>2 [1,3,5,6,2,7,4]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,5,6,4,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,3,5,6,4,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,5,6,7,2,4]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,5,6,7,4,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,5,7,2,4,6]=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1,1]=>1 [1,3,5,7,2,6,4]=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,5,7,4,2,6]=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,3,5,7,4,6,2]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,5,7,6,2,4]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,6,2,4,5,7]=>[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,2,1,1,1]=>2 [1,3,6,2,4,7,5]=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,6,2,5,4,7]=>[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,2,1,1,1]=>2 [1,3,6,2,5,7,4]=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,6,2,7,4,5]=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,6,2,7,5,4]=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,6,4,2,5,7]=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,1,1,1]=>2 [1,3,6,4,2,7,5]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,6,4,5,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,3,6,4,5,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,6,4,7,2,5]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,6,4,7,5,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,6,5,2,4,7]=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,1,1,1]=>2 [1,3,6,5,2,7,4]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,6,5,4,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,3,6,5,4,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,6,5,7,2,4]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,6,5,7,4,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,6,7,2,4,5]=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,6,7,2,5,4]=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,6,7,4,2,5]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,6,7,4,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,6,7,5,2,4]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,7,2,4,5,6]=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,7,2,4,6,5]=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,7,2,5,4,6]=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,7,2,5,6,4]=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,7,2,6,4,5]=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,7,2,6,5,4]=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,2,1,1,1]=>2 [1,3,7,4,2,5,6]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,7,4,2,6,5]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,7,4,5,2,6]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,7,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,7,4,6,2,5]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,7,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,7,5,2,4,6]=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,7,5,2,6,4]=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,7,5,4,2,6]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,7,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,7,5,6,2,4]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,7,5,6,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,7,6,2,4,5]=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,7,6,2,5,4]=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,7,6,4,2,5]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,7,6,4,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,3,7,6,5,2,4]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[5,5,4,1,1,1]=>2 [1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,4,1,1,1]=>2 [1,4,2,3,6,7,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1,1,1]=>2 [1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1,1,1]=>2 [1,4,2,3,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1,1,1]=>2 [1,4,2,5,3,6,7]=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,4,2,5,3,7,6]=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,4,2,5,6,3,7]=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,2,5,6,7,3]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,2,5,7,3,6]=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,4,2,5,7,6,3]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,2,6,3,5,7]=>[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,1,1,1]=>2 [1,4,2,6,3,7,5]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1,1,1]=>2 [1,4,2,6,5,3,7]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,2,6,5,7,3]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,2,6,7,3,5]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,4,2,6,7,5,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,2,7,3,5,6]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1,1,1]=>2 [1,4,2,7,3,6,5]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1,1,1]=>2 [1,4,2,7,5,3,6]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,4,2,7,5,6,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,2,7,6,3,5]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,4,2,7,6,5,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[5,5,4,1,1,1]=>2 [1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,4,1,1,1]=>2 [1,4,3,2,6,7,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1,1,1]=>2 [1,4,3,2,7,5,6]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1,1,1]=>2 [1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1,1,1]=>2 [1,4,3,5,2,6,7]=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,4,3,5,2,7,6]=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,4,3,5,6,2,7]=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,3,5,6,7,2]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,3,5,7,2,6]=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,4,3,5,7,6,2]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,3,6,2,5,7]=>[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,1,1,1]=>2 [1,4,3,6,2,7,5]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1,1,1]=>2 [1,4,3,6,5,2,7]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,3,6,5,7,2]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,3,6,7,2,5]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,4,3,6,7,5,2]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,3,7,2,5,6]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1,1,1]=>2 [1,4,3,7,2,6,5]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1,1,1]=>2 [1,4,3,7,5,2,6]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,4,3,7,5,6,2]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,3,7,6,2,5]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,4,3,7,6,5,2]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,2,3,6,7]=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,4,5,2,3,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,4,5,2,6,3,7]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,5,2,6,7,3]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,2,7,3,6]=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,4,5,2,7,6,3]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,3,2,6,7]=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,4,5,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,4,5,3,6,2,7]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,5,3,6,7,2]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,3,7,2,6]=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,4,5,3,7,6,2]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,6,2,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,5,6,2,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,6,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,5,6,3,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,6,7,2,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,6,7,3,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,7,2,3,6]=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,4,5,7,2,6,3]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,7,3,2,6]=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,4,5,7,3,6,2]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,7,6,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,2,3,5,7]=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,1,1,1]=>2 [1,4,6,2,3,7,5]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,4,6,2,5,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,6,2,5,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,2,7,3,5]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,6,2,7,5,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,3,2,5,7]=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,1,1,1]=>2 [1,4,6,3,2,7,5]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,4,6,3,5,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,6,3,5,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,3,7,2,5]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,6,3,7,5,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,5,2,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,6,5,2,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,5,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,4,6,5,3,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,5,7,2,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,5,7,3,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,7,2,3,5]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,6,7,2,5,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,7,3,2,5]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,6,7,3,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,7,5,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,2,3,5,6]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,4,7,2,3,6,5]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,4,7,2,5,3,6]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,2,6,3,5]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,3,2,5,6]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,4,7,3,2,6,5]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,2,1,1,1,1]=>2 [1,4,7,3,5,2,6]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,7,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,3,6,2,5]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,7,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,5,2,3,6]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,7,5,2,6,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,5,3,2,6]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,7,5,3,6,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,5,6,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,6,2,3,5]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,7,6,2,5,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,6,3,2,5]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,4,7,6,3,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,6,5,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,3,4,6,7]=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,5,2,3,4,7,6]=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,5,2,3,6,4,7]=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,2,3,6,7,4]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,3,7,4,6]=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,5,2,3,7,6,4]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,4,3,6,7]=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,5,2,4,3,7,6]=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,5,2,4,6,3,7]=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,2,4,6,7,3]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,4,7,3,6]=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,5,2,4,7,6,3]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,6,3,4,7]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,2,6,3,7,4]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,6,4,3,7]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,2,6,4,7,3]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,6,7,3,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,6,7,4,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,7,3,4,6]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,5,2,7,3,6,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,7,4,3,6]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,5,2,7,4,6,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,7,6,3,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,2,7,6,4,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,2,4,6,7]=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,5,3,2,4,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,5,3,2,6,4,7]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,3,2,6,7,4]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,2,7,4,6]=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,5,3,2,7,6,4]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,4,2,6,7]=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,5,3,4,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,5,3,4,6,2,7]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,3,4,6,7,2]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,4,7,2,6]=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,5,3,4,7,6,2]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,6,2,4,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,3,6,2,7,4]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,6,4,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,3,6,4,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,6,7,2,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,6,7,4,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,7,2,4,6]=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,7,4,2,6]=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,5,3,7,4,6,2]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,3,7,6,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,2,3,6,7]=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,5,4,2,3,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,5,4,2,6,3,7]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,4,2,6,7,3]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,2,7,3,6]=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,5,4,2,7,6,3]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1,1,1]=>2 [1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1,1,1]=>2 [1,5,4,3,6,2,7]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,4,3,6,7,2]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,3,7,2,6]=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>2 [1,5,4,3,7,6,2]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,6,2,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,4,6,2,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,6,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,4,6,3,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,6,7,2,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,6,7,3,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,7,2,3,6]=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,5,4,7,2,6,3]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,7,3,2,6]=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1,1,1]=>2 [1,5,4,7,3,6,2]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,7,6,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,2,3,4,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,6,2,3,7,4]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,2,4,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,6,2,4,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,2,7,3,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,2,7,4,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,3,2,4,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,6,3,2,7,4]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,3,4,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,6,3,4,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,3,7,2,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,3,7,4,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,4,2,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,6,4,2,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,5,6,4,3,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,4,7,2,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,4,7,3,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,7,2,4,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,7,4,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,2,3,4,6]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,5,7,2,3,6,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,2,4,3,6]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,5,7,2,4,6,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,2,6,3,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,2,6,4,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,3,2,4,6]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,5,7,3,2,6,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,3,4,2,6]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,5,7,3,4,6,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,3,6,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,3,6,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,4,2,3,6]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,4,3,2,6]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,1,1,1,1]=>1 [1,5,7,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,4,6,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,6,2,3,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,6,4,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,3,4,5,7]=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,2,3,4,7,5]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,3,5,4,7]=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,2,3,5,7,4]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,3,7,4,5]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,3,7,5,4]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,4,3,5,7]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,2,4,3,7,5]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,4,5,3,7]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,2,4,5,7,3]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,4,7,3,5]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,4,7,5,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,5,3,4,7]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,2,5,3,7,4]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,5,4,3,7]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,2,5,4,7,3]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,5,7,3,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,5,7,4,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,7,3,4,5]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,7,3,5,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,7,4,3,5]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,7,4,5,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,7,5,3,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,2,7,5,4,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,2,4,5,7]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,3,2,4,7,5]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,2,5,4,7]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,3,2,5,7,4]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,2,7,4,5]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,2,7,5,4]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,4,2,5,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,3,4,2,7,5]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,4,5,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,3,4,5,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,4,7,5,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,5,2,4,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,3,5,2,7,4]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,5,4,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,3,5,4,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,5,7,2,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,5,7,4,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,7,2,4,5]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,7,2,5,4]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,7,4,2,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,7,4,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,3,7,5,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,2,3,5,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,4,2,3,7,5]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,2,5,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,4,2,5,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,2,7,3,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,2,7,5,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,3,2,5,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,4,3,2,7,5]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,3,5,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,4,3,5,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,3,7,5,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,5,2,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,4,5,2,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,5,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,4,5,3,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,5,7,2,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,5,7,3,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,7,2,3,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,7,2,5,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,7,3,2,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,7,3,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,7,5,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,2,3,4,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,5,2,3,7,4]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,2,4,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,5,2,4,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,2,7,3,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,2,7,4,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,3,2,4,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,5,3,2,7,4]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,3,4,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,5,3,4,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,3,7,2,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,3,7,4,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,4,2,3,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,5,4,2,7,3]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1,1,1]=>2 [1,6,5,4,3,7,2]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,4,7,2,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,4,7,3,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,7,2,3,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,7,4,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,2,3,4,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,2,3,5,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,2,4,3,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,2,4,5,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,2,5,3,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,2,5,4,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,3,2,4,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,3,2,5,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,3,4,2,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,3,4,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,3,5,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,3,5,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,4,2,3,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,4,2,5,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,4,3,2,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,5,2,3,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,5,2,4,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,5,3,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,3,4,5,6]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,3,4,6,5]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,3,5,4,6]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,3,5,6,4]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,3,6,4,5]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,3,6,5,4]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,4,3,5,6]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,4,3,6,5]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,4,5,3,6]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,4,5,6,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,4,6,3,5]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,4,6,5,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,5,3,4,6]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,5,3,6,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,5,4,3,6]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,5,4,6,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,5,6,3,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,5,6,4,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,6,3,4,5]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,6,3,5,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,6,4,3,5]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,6,4,5,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,6,5,3,4]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,2,6,5,4,3]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,2,4,5,6]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,2,4,6,5]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,2,5,4,6]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,2,5,6,4]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,2,6,4,5]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,2,6,5,4]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,4,2,5,6]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,4,2,6,5]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,4,5,2,6]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,4,6,2,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,5,2,4,6]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,5,2,6,4]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,5,4,2,6]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,5,6,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,5,6,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,6,2,4,5]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,6,2,5,4]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,6,4,2,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,6,4,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,6,5,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,2,3,5,6]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,2,3,6,5]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,2,5,3,6]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,2,5,6,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,2,6,3,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,3,2,5,6]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,3,2,6,5]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,3,5,2,6]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,3,6,2,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,5,2,3,6]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,5,2,6,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,5,3,2,6]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,5,3,6,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,5,6,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,6,2,3,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,6,2,5,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,6,3,2,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,6,3,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,6,5,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,2,3,4,6]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,2,3,6,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,2,4,3,6]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,2,4,6,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,2,6,3,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,2,6,4,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,3,2,4,6]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,3,2,6,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,3,4,2,6]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,3,4,6,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,3,6,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,3,6,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,4,2,3,6]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,2,3,4,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,2,3,5,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,2,4,3,5]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,2,4,5,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,2,5,3,4]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,2,5,4,3]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[4,4,4,3,2]=>2 [2,1,3,4,7,5,6]=>[2,1,3,4,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[4,4,4,3,2]=>2 [2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[4,4,4,3,2]=>2 [2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,3,3,2]=>2 [2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,5,7,4,6]=>[2,1,3,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,3,3,2]=>2 [2,1,3,5,7,6,4]=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,6,4,5,7]=>[2,1,3,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,3,3,2]=>2 [2,1,3,6,4,7,5]=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,3,3,2]=>2 [2,1,3,6,5,7,4]=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,6,7,4,5]=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,6,7,5,4]=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,7,4,5,6]=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,7,4,6,5]=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,7,5,4,6]=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,7,5,6,4]=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,7,6,4,5]=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,3,3,3,2]=>2 [2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,4,4,2,2]=>2 [2,1,4,3,7,5,6]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,4,4,2,2]=>2 [2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,4,4,2,2]=>2 [2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,2,2]=>2 [2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[5,5,2,2,2]=>2 [2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,4,5,7,3,6]=>[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,2,2,2]=>2 [2,1,4,5,7,6,3]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,4,6,3,5,7]=>[2,1,5,6,3,4,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,2,2]=>2 [2,1,4,6,3,7,5]=>[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2,2,2]=>2 [2,1,4,6,5,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,4,6,5,7,3]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,4,6,7,3,5]=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2]=>2 [2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,4,7,3,5,6]=>[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2,2,2]=>2 [2,1,4,7,3,6,5]=>[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2,2,2]=>2 [2,1,4,7,5,3,6]=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2]=>2 [2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,4,7,6,3,5]=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2]=>2 [2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,3,4,6,7]=>[2,1,5,4,3,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,2,2]=>2 [2,1,5,3,4,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[5,5,2,2,2]=>2 [2,1,5,3,6,4,7]=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,5,3,6,7,4]=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,3,7,4,6]=>[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,2,2,2]=>2 [2,1,5,3,7,6,4]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,2,2]=>2 [2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[5,5,2,2,2]=>2 [2,1,5,4,6,3,7]=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,5,4,6,7,3]=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,4,7,3,6]=>[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,2,2,2]=>2 [2,1,5,4,7,6,3]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,6,3,4,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,5,6,3,7,4]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,6,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,5,6,4,7,3]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,7,3,4,6]=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2]=>2 [2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,7,4,3,6]=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,2,2,2]=>2 [2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,3,4,5,7]=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,6,3,4,7,5]=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,3,5,4,7]=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,6,3,5,7,4]=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,3,7,4,5]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,3,7,5,4]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,4,3,5,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,6,4,3,7,5]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,4,5,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,6,4,5,7,3]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,5,3,4,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,6,5,3,7,4]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,2,2,2]=>2 [2,1,6,5,4,7,3]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,3,4,5,6]=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,3,4,6,5]=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,3,5,4,6]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,3,5,6,4]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,3,6,4,5]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,3,6,5,4]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,4,3,5,6]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,4,3,6,5]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,2,2,2]=>2 [2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[5,5,4,3]=>2 [2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[6,4,4,3]=>2 [2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3]=>2 [2,3,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3]=>2 [2,3,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3]=>2 [2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,3]=>2 [2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[5,5,3,3]=>2 [2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3]=>2 [2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,3,3]=>2 [2,3,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3]=>2 [2,3,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3]=>2 [2,3,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [2,3,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [2,3,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,3,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [2,3,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [2,3,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [2,3,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,3,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,3,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [2,3,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [2,3,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,3,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,3,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[6,5,2]=>2 [2,3,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,5,2]=>2 [2,3,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,2,2]=>2 [2,3,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>1 [2,3,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [2,3,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [2,3,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,3,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [2,3,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [2,3,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,3,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>1 [2,3,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,3,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,2,2]=>2 [2,3,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,2,2]=>2 [2,3,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [2,3,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,3,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [2,3,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,3,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [2,3,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,3,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,3,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,4,1,3,5,6,7]=>[3,4,1,2,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[6,5,4,1]=>2 [2,4,1,3,5,7,6]=>[3,4,1,2,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[5,5,4,1]=>2 [2,4,1,3,6,5,7]=>[3,4,1,2,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[6,4,4,1]=>2 [2,4,1,3,6,7,5]=>[3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1]=>2 [2,4,1,3,7,5,6]=>[3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1]=>2 [2,4,1,3,7,6,5]=>[3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,4,4,1]=>2 [2,4,1,5,3,6,7]=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1]=>2 [2,4,1,5,3,7,6]=>[3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1]=>2 [2,4,1,5,6,3,7]=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,4,1,5,6,7,3]=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,5,7,3,6]=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>1 [2,4,1,5,7,6,3]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,6,3,5,7]=>[3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,1]=>2 [2,4,1,6,3,7,5]=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>1 [2,4,1,6,5,3,7]=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,4,1,6,5,7,3]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,6,7,3,5]=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>1 [2,4,1,6,7,5,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,7,3,5,6]=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>1 [2,4,1,7,3,6,5]=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,3,1,1]=>1 [2,4,1,7,5,3,6]=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>1 [2,4,1,7,5,6,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,7,6,3,5]=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>1 [2,4,1,7,6,5,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [2,4,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [2,4,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [2,4,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [2,4,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [2,4,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [2,4,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [2,4,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [2,4,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,4,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [2,4,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [2,4,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [2,4,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,4,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,4,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [2,4,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [2,4,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,4,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,4,5,1,3,6,7]=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,5,1]=>2 [2,4,5,1,3,7,6]=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,5,1]=>2 [2,4,5,1,6,3,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,4,5,1,6,7,3]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,5,1,7,3,6]=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>1 [2,4,5,1,7,6,3]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [2,4,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [2,4,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,4,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [2,4,5,6,1,3,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,4,5,6,1,7,3]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,4,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,4,5,6,7,1,3]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,4,5,7,1,3,6]=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>1 [2,4,5,7,1,6,3]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,4,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,4,5,7,6,1,3]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,4,6,1,3,5,7]=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,2,1]=>1 [2,4,6,1,3,7,5]=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>1 [2,4,6,1,5,3,7]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,4,6,1,5,7,3]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,6,1,7,3,5]=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>1 [2,4,6,1,7,5,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [2,4,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,4,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,4,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,4,6,5,1,3,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,4,6,5,1,7,3]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,4,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,4,6,5,7,1,3]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,4,6,7,1,3,5]=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>0 [2,4,6,7,1,5,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,4,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,4,6,7,5,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,4,7,1,3,5,6]=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>1 [2,4,7,1,3,6,5]=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,2,1]=>1 [2,4,7,1,5,3,6]=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>1 [2,4,7,1,5,6,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,7,1,6,3,5]=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>1 [2,4,7,1,6,5,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,4,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [2,4,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,4,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,4,7,5,1,3,6]=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>0 [2,4,7,5,1,6,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,4,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,4,7,5,6,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,4,7,6,1,3,5]=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>0 [2,4,7,6,1,5,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,4,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,4,7,6,5,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,1,3,4,6,7]=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1]=>2 [2,5,1,3,4,7,6]=>[3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1]=>2 [2,5,1,3,6,4,7]=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,5,1,3,6,7,4]=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,3,7,4,6]=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>1 [2,5,1,3,7,6,4]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,4,3,6,7]=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,1]=>2 [2,5,1,4,3,7,6]=>[3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,5,1,1]=>2 [2,5,1,4,6,3,7]=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,5,1,4,6,7,3]=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,4,7,3,6]=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,1,1]=>1 [2,5,1,4,7,6,3]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,6,3,4,7]=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,5,1,6,3,7,4]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,6,4,3,7]=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,5,1,6,4,7,3]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,6,7,3,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,6,7,4,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,7,3,4,6]=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>1 [2,5,1,7,3,6,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,7,4,3,6]=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,1,1]=>1 [2,5,1,7,4,6,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,7,6,3,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,7,6,4,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,3,1,4,6,7]=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,5,1]=>2 [2,5,3,1,4,7,6]=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,5,1]=>2 [2,5,3,1,6,4,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,5,3,1,6,7,4]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,3,1,7,4,6]=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>1 [2,5,3,1,7,6,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [2,5,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [2,5,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,5,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [2,5,3,6,1,4,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,5,3,6,1,7,4]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,5,3,6,7,1,4]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,3,7,1,4,6]=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>1 [2,5,3,7,1,6,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,5,3,7,6,1,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,4,1,3,6,7]=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,5,1]=>2 [2,5,4,1,3,7,6]=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,5,1]=>2 [2,5,4,1,6,3,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,5,4,1,6,7,3]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,4,1,7,3,6]=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>1 [2,5,4,1,7,6,3]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [2,5,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [2,5,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,5,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [2,5,4,6,1,3,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,5,4,6,1,7,3]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,5,4,6,7,1,3]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,4,7,1,3,6]=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>1 [2,5,4,7,1,6,3]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [2,5,4,7,6,1,3]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,6,1,3,4,7]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,5,6,1,3,7,4]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,6,1,4,3,7]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,5,6,1,4,7,3]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,6,1,7,3,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,6,1,7,4,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,6,3,1,4,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,5,6,3,1,7,4]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,5,6,3,7,1,4]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,6,4,1,3,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,5,6,4,1,7,3]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,5,6,4,7,1,3]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,6,7,1,3,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,7,1,4,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,7,3,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,6,7,4,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,7,1,3,4,6]=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>1 [2,5,7,1,3,6,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,7,1,4,3,6]=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,1,1]=>1 [2,5,7,1,4,6,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,7,1,6,3,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,7,1,6,4,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,7,3,1,4,6]=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>0 [2,5,7,3,1,6,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,5,7,3,6,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,7,4,1,3,6]=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>0 [2,5,7,4,1,6,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [2,5,7,4,6,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,7,6,1,3,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,7,6,1,4,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,5,7,6,3,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,5,7,6,4,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,1,3,4,5,7]=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,6,1,3,4,7,5]=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,3,5,4,7]=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,6,1,3,5,7,4]=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,3,7,4,5]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,3,7,5,4]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,4,3,5,7]=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,6,1,4,3,7,5]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,4,5,3,7]=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,6,1,4,5,7,3]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,4,7,3,5]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,4,7,5,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,5,3,4,7]=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,6,1,5,3,7,4]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,5,4,3,7]=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>2 [2,6,1,5,4,7,3]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,5,7,3,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,5,7,4,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,7,3,4,5]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,7,3,5,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,7,4,3,5]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,7,4,5,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,7,5,3,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,7,5,4,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,3,1,4,5,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,6,3,1,4,7,5]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,3,1,5,4,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,6,3,1,5,7,4]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,3,1,7,4,5]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,3,1,7,5,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,3,4,1,5,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,6,3,4,1,7,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,6,3,4,7,1,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,3,5,1,4,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,6,3,5,1,7,4]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,6,3,5,7,1,4]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,3,7,1,4,5]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,7,1,5,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,7,4,1,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,3,7,5,1,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,4,1,3,5,7]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,6,4,1,3,7,5]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,1,5,3,7]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,6,4,1,5,7,3]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,1,7,3,5]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,1,7,5,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,3,1,5,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,6,4,3,1,7,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,6,4,3,7,1,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,4,5,1,3,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,6,4,5,1,7,3]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,6,4,5,7,1,3]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,4,7,1,3,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,4,7,1,5,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,4,7,3,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,4,7,5,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,5,1,3,4,7]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,6,5,1,3,7,4]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,5,1,4,3,7]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [2,6,5,1,4,7,3]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,5,1,7,3,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,5,1,7,4,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,5,3,1,4,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,6,5,3,1,7,4]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,6,5,3,7,1,4]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,5,4,1,3,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [2,6,5,4,1,7,3]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [2,6,5,4,7,1,3]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,5,7,1,3,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,7,1,4,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,7,3,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,5,7,4,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,7,1,3,4,5]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,1,3,5,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,1,4,3,5]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,1,4,5,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,1,5,3,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,1,5,4,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,3,1,4,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,7,3,1,5,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,7,3,4,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,7,3,5,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,7,4,1,3,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,7,4,1,5,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,7,4,3,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,7,4,5,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,7,5,1,3,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,7,5,1,4,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,6,7,5,3,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,6,7,5,4,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,1,3,4,5,6]=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,3,4,6,5]=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,3,5,4,6]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,3,5,6,4]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,3,6,4,5]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,3,6,5,4]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,4,3,5,6]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,4,3,6,5]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,4,5,3,6]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,4,5,6,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,4,6,3,5]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,4,6,5,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,5,3,4,6]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,5,3,6,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,5,4,3,6]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,5,4,6,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,5,6,3,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,5,6,4,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,6,3,4,5]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,6,3,5,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,6,4,3,5]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,6,4,5,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,6,5,3,4]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,6,5,4,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,3,1,4,5,6]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,3,1,4,6,5]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,3,1,5,4,6]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,3,1,5,6,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,3,1,6,4,5]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,3,1,6,5,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,3,4,1,5,6]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,3,4,1,6,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,3,4,5,1,6]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,3,4,6,1,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,3,5,1,4,6]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,3,5,1,6,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,3,5,4,1,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,3,5,6,1,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,3,6,1,4,5]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,3,6,1,5,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,3,6,4,1,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,3,6,5,1,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,4,1,3,5,6]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,1,3,6,5]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,1,5,3,6]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,1,5,6,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,1,6,3,5]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,1,6,5,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,3,1,5,6]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,3,1,6,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,3,5,1,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,4,3,6,1,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,4,5,1,3,6]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,5,1,6,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,5,3,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,4,5,6,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,4,6,1,3,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,6,1,5,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,6,3,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,4,6,5,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,5,1,3,4,6]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,5,1,3,6,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,5,1,4,3,6]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,5,1,4,6,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,5,1,6,3,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,5,1,6,4,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,5,3,1,4,6]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,3,1,6,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,3,4,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,5,3,6,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,5,4,1,3,6]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,4,1,6,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,4,3,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,5,4,6,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,5,6,1,3,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,6,1,4,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,6,3,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,5,6,4,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,6,1,3,4,5]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,6,1,3,5,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,6,1,4,3,5]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,6,1,4,5,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,6,1,5,3,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,6,1,5,4,3]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,6,3,1,4,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,3,1,5,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,3,4,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,6,3,5,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,6,4,1,3,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,4,1,5,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,4,3,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,6,4,5,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,6,5,1,3,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,5,1,4,3]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,5,3,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [2,7,6,5,4,1,3]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,1,2,4,5,7,6]=>[3,2,1,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[5,5,4,3]=>2 [3,1,2,4,6,5,7]=>[3,2,1,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[6,4,4,3]=>2 [3,1,2,4,6,7,5]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3]=>2 [3,1,2,4,7,5,6]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3]=>2 [3,1,2,4,7,6,5]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3]=>2 [3,1,2,5,4,6,7]=>[3,2,1,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,3]=>2 [3,1,2,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[5,5,3,3]=>2 [3,1,2,5,6,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3]=>2 [3,1,2,5,6,7,4]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,5,7,4,6]=>[3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,3,3]=>2 [3,1,2,5,7,6,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,6,4,5,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3]=>2 [3,1,2,6,4,7,5]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3]=>2 [3,1,2,6,5,7,4]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,6,7,4,5]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,6,7,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,7,4,5,6]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,7,4,6,5]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,7,5,4,6]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,7,5,6,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,7,6,4,5]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,2,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,1,4,2,5,6,7]=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [3,1,4,2,5,7,6]=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [3,1,4,2,6,5,7]=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [3,1,4,2,6,7,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,1,4,2,7,5,6]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,1,4,2,7,6,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,1,4,5,2,6,7]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,1,4,5,2,7,6]=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,1,4,5,6,2,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,1,4,5,7,2,6]=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,1,4,6,2,5,7]=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [3,1,4,6,2,7,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,1,4,6,5,2,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,1,4,6,7,2,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,1,4,7,2,5,6]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,1,4,7,2,6,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,1,4,7,5,2,6]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,1,4,7,6,2,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,1,5,2,4,6,7]=>[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[6,5,2]=>2 [3,1,5,2,4,7,6]=>[4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,5,2]=>2 [3,1,5,2,6,4,7]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,2,2]=>2 [3,1,5,2,6,7,4]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,5,2,7,4,6]=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>1 [3,1,5,2,7,6,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,5,4,2,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,1,5,4,2,7,6]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,1,5,4,6,2,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,1,5,4,7,2,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,1,5,6,2,4,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [3,1,5,6,2,7,4]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,5,6,4,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,1,5,6,7,2,4]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,5,7,2,4,6]=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>1 [3,1,5,7,2,6,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,5,7,4,2,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,1,5,7,6,2,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,6,2,4,5,7]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,2,2]=>2 [3,1,6,2,4,7,5]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,6,2,5,4,7]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,2,2]=>2 [3,1,6,2,5,7,4]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,6,2,7,4,5]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,6,2,7,5,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,6,4,2,5,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [3,1,6,4,2,7,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,6,4,5,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,1,6,4,7,2,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,6,5,2,4,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [3,1,6,5,2,7,4]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,6,5,4,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,1,6,5,7,2,4]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,6,7,2,4,5]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,6,7,2,5,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,6,7,4,2,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,6,7,5,2,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,7,2,4,5,6]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,7,2,4,6,5]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,7,2,5,4,6]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,7,2,5,6,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,7,2,6,4,5]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,7,2,6,5,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,1,7,4,2,5,6]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,7,4,2,6,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,7,4,5,2,6]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,7,4,6,2,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,7,5,2,4,6]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,7,5,2,6,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,7,5,4,2,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,7,5,6,2,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,7,6,2,4,5]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,7,6,2,5,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,1,7,6,4,2,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,1,7,6,5,2,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[5,5,4,3]=>2 [3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[6,4,4,3]=>2 [3,2,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3]=>2 [3,2,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3]=>2 [3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,4,4,3]=>2 [3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,3]=>2 [3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[5,5,3,3]=>2 [3,2,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3]=>2 [3,2,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,3,3]=>2 [3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3]=>2 [3,2,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,3,3]=>2 [3,2,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,3,3]=>2 [3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [3,2,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [3,2,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [3,2,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,2,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,2,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,2,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,2,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,2,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [3,2,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,2,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,2,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,2,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,2,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,2,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,2,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,2,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[6,5,2]=>2 [3,2,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,5,2]=>2 [3,2,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,2,2]=>2 [3,2,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,2]=>1 [3,2,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,2,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,2,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,2,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,2,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [3,2,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,2,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,2]=>1 [3,2,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,2,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,2,2]=>2 [3,2,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,2,2]=>2 [3,2,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [3,2,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,2,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [3,2,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,2,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,2,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,2,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [3,4,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [3,4,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [3,4,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,4,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,4,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,4,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,4,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,4,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,4,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [3,4,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,4,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,4,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,4,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,4,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,4,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [3,4,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [3,4,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [3,4,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,4,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,4,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,4,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,4,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [3,4,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,4,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,4,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,4,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [3,4,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,4,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,4,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,4,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,4,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,4,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,4,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [3,4,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,4,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [3,4,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,4,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,4,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,4,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,4,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,4,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [3,4,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,4,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,5,1,2,4,6,7]=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,5,1]=>2 [3,5,1,2,4,7,6]=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,5,1]=>2 [3,5,1,2,6,4,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [3,5,1,2,6,7,4]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,1,2,7,4,6]=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>1 [3,5,1,2,7,6,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,5,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,5,1,6,2,4,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,5,1,6,2,7,4]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,5,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,1,6,7,2,4]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,1,7,2,4,6]=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>1 [3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,5,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,5,1,7,6,2,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,2,1,4,6,7]=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,5,1]=>2 [3,5,2,1,4,7,6]=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,5,1]=>2 [3,5,2,1,6,4,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [3,5,2,1,6,7,4]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,2,1,7,4,6]=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,1]=>1 [3,5,2,1,7,6,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,5,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,5,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,5,2,6,1,4,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,5,2,6,1,7,4]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,5,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,2,6,7,1,4]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,2,7,1,4,6]=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,1]=>1 [3,5,2,7,1,6,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,5,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,5,2,7,6,1,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,5,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,5,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,5,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [3,5,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [3,5,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [3,5,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,5,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [3,5,6,1,2,4,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,5,6,1,2,7,4]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,5,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,6,1,7,2,4]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,6,2,1,4,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,5,6,2,1,7,4]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,5,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,6,2,7,1,4]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,5,6,7,1,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,6,7,2,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,7,1,2,4,6]=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>0 [3,5,7,1,2,6,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,5,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,5,7,1,6,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,7,2,1,4,6]=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,1]=>0 [3,5,7,2,1,6,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,5,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,5,7,2,6,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,5,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [3,5,7,6,1,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,5,7,6,2,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,1,2,4,5,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [3,6,1,2,4,7,5]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,1,2,5,4,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [3,6,1,2,5,7,4]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,1,2,7,4,5]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,1,2,7,5,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,1,4,2,5,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,6,1,4,2,7,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,1,5,2,4,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,6,1,5,2,7,4]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,1,5,7,2,4]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,1,7,2,4,5]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,1,7,2,5,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,1,7,4,2,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,2,1,4,5,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [3,6,2,1,4,7,5]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,1,5,4,7]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1,1]=>2 [3,6,2,1,5,7,4]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,1,7,4,5]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,1,7,5,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,4,1,5,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,6,2,4,1,7,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,2,4,7,1,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,2,5,1,4,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,6,2,5,1,7,4]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,2,5,7,1,4]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,2,7,1,4,5]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,2,7,1,5,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,2,7,4,1,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,2,7,5,1,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,4,1,2,5,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,6,4,1,2,7,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,4,1,7,2,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,4,2,1,5,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,6,4,2,1,7,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,4,2,7,1,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,4,7,1,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,4,7,2,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,5,1,2,4,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,6,5,1,2,7,4]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,5,1,7,2,4]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,5,2,1,4,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [3,6,5,2,1,7,4]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,5,2,7,1,4]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [3,6,5,7,1,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,5,7,2,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,7,1,2,4,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,1,2,5,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,1,4,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,7,1,5,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,7,2,1,4,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,2,1,5,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,2,4,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,7,2,5,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,7,4,1,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,7,4,2,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,7,5,1,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,6,7,5,2,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,1,2,4,5,6]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,2,4,6,5]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,2,5,4,6]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,2,5,6,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,2,6,4,5]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,2,6,5,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,4,2,5,6]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,4,2,6,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,4,5,2,6]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,1,4,6,2,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,1,5,2,4,6]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,5,2,6,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,5,4,2,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,1,5,6,2,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,1,6,2,4,5]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,6,2,5,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,6,4,2,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,1,6,5,2,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,2,1,4,5,6]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,2,1,4,6,5]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,2,1,5,4,6]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,2,1,5,6,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,2,1,6,4,5]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,2,1,6,5,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,2,4,1,5,6]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,4,1,6,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,4,5,1,6]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,2,4,6,1,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,2,5,1,4,6]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,5,1,6,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,5,4,1,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,2,5,6,1,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,2,6,1,4,5]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,6,1,5,4]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,6,4,1,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,2,6,5,1,4]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,4,1,2,5,6]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,1,2,6,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,1,5,2,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,4,1,6,2,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,4,2,1,5,6]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,2,1,6,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,2,5,1,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,4,2,6,1,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,4,5,1,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,4,5,2,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,4,6,1,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,4,6,2,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,5,1,2,4,6]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,5,1,2,6,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,5,1,4,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,5,1,6,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,5,2,1,4,6]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,5,2,1,6,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,5,2,4,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,5,2,6,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,5,4,1,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,5,4,2,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,5,6,1,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,5,6,2,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,6,1,2,4,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,6,1,2,5,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,6,1,4,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,6,1,5,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,6,2,1,4,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,6,2,1,5,4]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [3,7,6,2,4,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,6,2,5,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,6,4,1,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,6,4,2,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,6,5,1,2,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [3,7,6,5,2,1,4]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,1,2,3,5,6,7]=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [4,1,2,3,5,7,6]=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [4,1,2,3,6,5,7]=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [4,1,2,3,6,7,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,1,2,3,7,5,6]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,1,2,3,7,6,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,1,2,5,3,6,7]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,1,2,5,3,7,6]=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,1,2,5,6,3,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,2,5,7,3,6]=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,1,2,6,3,5,7]=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [4,1,2,6,3,7,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,1,2,6,5,3,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,2,6,7,3,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,1,2,7,3,5,6]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,1,2,7,3,6,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,1,2,7,5,3,6]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,1,2,7,6,3,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [4,1,3,2,5,7,6]=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [4,1,3,2,6,5,7]=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [4,1,3,2,6,7,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,1,3,2,7,5,6]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,1,3,2,7,6,5]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,1,3,5,2,6,7]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,1,3,5,2,7,6]=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,1,3,5,6,2,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,3,5,7,2,6]=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,1,3,6,2,5,7]=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [4,1,3,6,2,7,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,1,3,6,5,2,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,3,6,7,2,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,1,3,7,2,5,6]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,1,3,7,2,6,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,1,3,7,5,2,6]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,1,3,7,6,2,5]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,1,5,2,3,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,1,5,2,3,7,6]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,1,5,2,6,3,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,5,2,7,3,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,1,5,3,2,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,1,5,3,2,7,6]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,1,5,3,6,2,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,5,3,7,2,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,1,5,6,2,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,5,6,3,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,5,7,2,3,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,1,5,7,3,2,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,1,6,2,3,5,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [4,1,6,2,3,7,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,1,6,2,5,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,6,2,7,3,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,6,3,2,5,7]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [4,1,6,3,2,7,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,1,6,3,5,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,6,3,7,2,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,6,5,2,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,6,5,3,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,1,6,7,2,3,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,6,7,3,2,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,7,2,3,5,6]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,1,7,2,3,6,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,1,7,2,5,3,6]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,7,2,6,3,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,7,3,2,5,6]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,1,7,3,2,6,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,1,7,3,5,2,6]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,7,3,6,2,5]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,7,5,2,3,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,7,5,3,2,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,7,6,2,3,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,1,7,6,3,2,5]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [4,2,1,3,5,7,6]=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [4,2,1,3,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [4,2,1,3,6,7,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,2,1,3,7,5,6]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,2,1,3,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,2,1,5,3,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,2,1,5,3,7,6]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,2,1,5,6,3,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,1,5,7,3,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,2,1,6,3,5,7]=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [4,2,1,6,3,7,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,2,1,6,5,3,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,1,6,7,3,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,2,1,7,3,5,6]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,2,1,7,3,6,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,2,1,7,5,3,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,2,1,7,6,3,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [4,2,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [4,2,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [4,2,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,2,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,2,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,2,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,2,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [4,2,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,2,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,2,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,2,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,2,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,2,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,2,5,1,6,3,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,5,1,7,3,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,2,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,2,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,2,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,2,5,6,1,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,5,7,1,3,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,2,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,2,6,1,3,5,7]=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [4,2,6,1,3,7,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [4,2,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,2,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,6,5,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,2,6,7,1,3,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,7,1,3,5,6]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,2,7,1,3,6,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,2,7,1,5,3,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,7,1,6,3,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,2,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,2,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,7,5,1,3,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,7,6,1,3,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,2,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [4,3,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [4,3,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [4,3,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,3,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,3,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,3,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,3,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,3,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,3,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [4,3,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,3,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,3,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,3,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,3,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,3,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[6,5,4]=>2 [4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,5,4]=>2 [4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[6,4,4]=>2 [4,3,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,3,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,4,4]=>2 [4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,3,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,3,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,3]=>2 [4,3,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,3,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,3,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,3,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3]=>1 [4,3,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,3,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,3,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,3,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,3,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,3,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,3,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [4,3,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,3,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,2]=>2 [4,3,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,3,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,3,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,3,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,3,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,3,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,2]=>1 [4,3,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,3,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,5,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,5,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,5,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,5,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,5,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,5,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,5,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,5,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,5,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,5,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,5,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,5,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,5,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,5,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [4,5,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,5,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,5,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,5,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,5,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,5,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,5,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,5,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [4,6,1,2,3,5,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [4,6,1,2,3,7,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,6,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,1,2,7,3,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,1,3,2,5,7]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [4,6,1,3,2,7,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,6,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,1,3,7,2,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,1,7,2,3,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,1,7,3,2,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,2,1,3,5,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [4,6,2,1,3,7,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,6,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,2,1,7,3,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,2,3,1,5,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [4,6,2,3,1,7,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,6,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,2,3,7,1,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,2,7,1,3,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,2,7,3,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,3,1,2,5,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [4,6,3,1,2,7,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,3,2,1,5,7]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1 [4,6,3,2,1,7,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,6,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,3,2,7,1,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,3,7,1,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,3,7,2,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [4,6,7,1,2,3,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,7,1,3,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,7,2,1,3,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,7,2,3,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,7,3,1,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,6,7,3,2,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,1,2,3,5,6]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,1,2,3,6,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,1,2,5,3,6]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,1,2,6,3,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,1,3,2,5,6]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,1,3,2,6,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,1,3,5,2,6]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,1,3,6,2,5]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,1,5,2,3,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,1,5,3,2,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,1,6,2,3,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,1,6,3,2,5]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,2,1,3,5,6]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,2,1,3,6,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,2,1,5,3,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,2,1,6,3,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,2,3,1,5,6]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,2,3,1,6,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,2,3,5,1,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,2,3,6,1,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,2,5,1,3,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,2,5,3,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,2,6,1,3,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,2,6,3,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,3,1,2,5,6]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,3,1,2,6,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,3,1,5,2,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,3,1,6,2,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,3,2,1,5,6]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,3,2,1,6,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1]=>1 [4,7,3,2,5,1,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,3,2,6,1,5]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,3,5,1,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,3,5,2,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,3,6,1,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,3,6,2,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,5,1,2,3,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,5,1,3,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,5,2,1,3,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,5,2,3,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,5,3,1,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,5,3,2,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,6,1,2,3,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,6,1,3,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,6,2,1,3,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,6,2,3,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,6,3,1,2,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [4,7,6,3,2,1,5]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,1,2,3,4,6,7]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,1,2,3,4,7,6]=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,1,2,3,6,4,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,2,3,7,4,6]=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,1,2,4,3,7,6]=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,1,2,4,6,3,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,2,4,7,3,6]=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,1,2,6,3,4,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,2,6,4,3,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,2,7,3,4,6]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,1,2,7,4,3,6]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,1,3,2,4,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,1,3,2,4,7,6]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,1,3,2,6,4,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,3,2,7,4,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,1,3,4,2,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,1,3,4,2,7,6]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,1,3,4,6,2,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,3,4,7,2,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,1,3,6,2,4,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,3,6,4,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,3,7,2,4,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,1,3,7,4,2,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,1,4,2,3,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,1,4,2,3,7,6]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,1,4,2,6,3,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,4,2,7,3,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,1,4,3,2,6,7]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,1,4,3,2,7,6]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,1,4,3,6,2,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,4,3,7,2,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,1,4,6,2,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,4,6,3,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,4,7,2,3,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,1,4,7,3,2,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,1,6,2,3,4,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,6,2,4,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,6,3,2,4,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,6,3,4,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,6,4,2,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,6,4,3,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,1,7,2,3,4,6]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,1,7,2,4,3,6]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,1,7,3,2,4,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,1,7,3,4,2,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,1,7,4,2,3,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,1,7,4,3,2,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,2,1,3,4,7,6]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,2,1,3,6,4,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,1,3,7,4,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,2,1,4,3,6,7]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,2,1,4,3,7,6]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,2,1,4,6,3,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,1,4,7,3,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,2,1,6,3,4,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,1,6,4,3,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,1,7,3,4,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,2,1,7,4,3,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,2,3,1,4,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,2,3,1,6,4,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,3,1,7,4,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,3,7,1,4,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,2,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,2,4,1,3,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,2,4,1,3,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,2,4,1,6,3,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,4,1,7,3,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,2,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,2,4,6,1,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,4,7,1,3,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,2,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,2,6,1,3,4,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,6,1,4,3,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,6,3,1,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,2,7,1,3,4,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,2,7,1,4,3,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,2,7,3,1,4,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,2,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,2,7,4,1,3,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,2,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,3,1,2,4,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,3,1,2,4,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,3,1,2,6,4,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,1,2,7,4,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,3,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,3,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,3,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,3,1,6,2,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,1,7,2,4,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,3,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,3,2,1,4,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,3,2,1,6,4,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,2,1,7,4,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,2,7,1,4,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,3,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,3,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,3,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,3,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,3,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,3,6,1,2,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,6,2,1,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,3,7,1,2,4,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,3,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,3,7,2,1,4,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,3,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,3,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,3,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,4,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,4,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,4,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,4,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,4,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,4,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,4,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,4,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,4,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,4,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,4,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,4,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,4,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,4,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,4,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,5]=>2 [5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,5]=>2 [5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[4]=>2 [5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,4,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3]=>1 [5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,4,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,4,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,4,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,4,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,4,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,4,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2]=>1 [5,6,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [5,7,1,2,3,4,6]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,1,2,4,3,6]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,1,3,2,4,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,1,3,4,2,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,1,4,2,3,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,1,4,3,2,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,2,1,3,4,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,2,1,4,3,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,2,3,1,4,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,2,3,4,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,2,4,1,3,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,2,4,3,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,3,1,2,4,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,3,1,4,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,3,2,1,4,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,3,2,4,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,3,4,1,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,3,4,2,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,4,1,2,3,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,4,1,3,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,4,2,1,3,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,4,2,3,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [5,7,4,3,2,1,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1]=>0 [6,1,2,3,4,5,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,2,3,5,4,7]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,2,4,3,5,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,2,4,5,3,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,2,5,3,4,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,2,5,4,3,7]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,3,2,4,5,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,3,2,5,4,7]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,3,4,2,5,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,3,4,5,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,3,5,2,4,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,3,5,4,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,4,2,3,5,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,4,2,5,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,4,3,2,5,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,4,3,5,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,4,5,2,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,4,5,3,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,5,2,3,4,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,5,2,4,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,5,3,2,4,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,5,3,4,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,5,4,2,3,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,1,5,4,3,2,7]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,1,3,5,4,7]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,1,4,3,5,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,1,4,5,3,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,1,5,3,4,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,1,5,4,3,7]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,3,1,5,4,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,3,5,1,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,4,1,3,5,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,4,1,5,3,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,4,3,1,5,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,4,5,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,5,1,3,4,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,5,1,4,3,7]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,5,3,1,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,5,4,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,1,2,4,5,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,1,2,5,4,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,1,4,2,5,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,1,5,2,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,2,1,5,4,7]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,2,5,1,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,5,1,2,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,5,2,1,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,3,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,1,2,3,5,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,1,3,2,5,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,3,1,2,5,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6]=>3 [7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,4,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,3,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,5,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,4,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,2,3,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,3,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,2,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,3,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,5,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,4,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,5,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,3,4,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,3,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,4,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,3,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,3,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,4,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,2,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,1,2,4,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,3,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,4,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,2,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,2,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,2,3,5,1,6,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,3,4,5,1,6,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,3,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,2,1,3,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,1,2,3,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,2,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,2,3,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,1,2,4,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,1,2,3,4,6,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,3,2,1,5,6,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,3,4,1,5,6,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,3,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,4,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,2,3,5,6,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,2,3,4,5,6,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,5,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,3,4,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,3,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,4,5,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,6,2,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,3,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,5,2,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,2,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,5,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,3,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,4,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,3,2,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,2,3,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,2,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,5,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,5,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,6,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,3,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,3,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,3,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,4,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,5,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,5,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,5,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,5,4,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,5,6,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,5,3,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,3,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,2,1,3,4,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,5,1,2,3,4,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,1,2,3,4,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,3,2,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,3,4,2,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,3,1,2,5,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,2,1,3,5,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,1,2,3,5,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,3,2,1,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,2,3,1,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,3,1,2,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,1,2,3,4,5,7,8]=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,8,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,8,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,4,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,5,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,6,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,5,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,7,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,8,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,8,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,6,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,7,5,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,7,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,5,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,6,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,7,8,6,5,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,6,8,7,5,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,4,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,4,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,5,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,6,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,5,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,6,5,8,7,2]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,3,6,8,7,2]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,3,6,8,7,2]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,5,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,5,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,7,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,7,5,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,4,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,5,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,6,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,6,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,7,6,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,5,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,6,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,7,6,5,8,2]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,4,7,6,8,2]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,4,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,6,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,6,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,8,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,8,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,6,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,7,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,8,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,7,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,5,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,6,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,6,5,8,4,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,7,5,8,4,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,7,6,8,4,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,5,7,8,4,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,6,7,8,4,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,8,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,7,8,6,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,6,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,7,6,8,5,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,6,7,8,5,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,4,8,7,6,3]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,4,7,8,6,3]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,5,8,7,6,3]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,5,7,8,6,3]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,5,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,6,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,6,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,4,6,8,7,3]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,5,6,8,7,3]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,6,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,7,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,7,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,5,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,6,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,7,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,6,7,5,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,4,7,6,8,3]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,6,4,7,8,3]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,4,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,2,8,7,6,5,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,6,5,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,6,8,5,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,7,8,5,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,8,7,6,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,5,8,7,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,6,8,7,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,6,5,8,4,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,7,6,8,4,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,5,7,8,4,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,6,7,8,4,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,8,7,6,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,7,8,6,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,6,8,7,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,7,6,8,5,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,6,7,8,5,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,4,8,7,6,3]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,4,7,8,6,3]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,5,8,7,6,3]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,5,7,8,6,3]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,5,4,8,7,3]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,6,5,8,7,3]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,6,5,4,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,7,6,4,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,6,7,4,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,7,6,5,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,5,4,7,8,3]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,6,4,7,8,3]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,6,5,7,8,3]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,4,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,5,8,7,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,2,8,7,6,5,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,6,8,7,5,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,7,6,8,5,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,6,7,8,5,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,5,8,7,6,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,5,7,8,6,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,6,5,8,7,4]=>[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,5,6,8,7,4]=>[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,7,6,5,8,4]=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,6,7,5,8,4]=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,5,7,6,8,4]=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [2,1,3,8,7,6,5,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,7,8,6,5,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,6,8,7,5,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,6,7,8,5,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,6,5,8,7,4]=>[2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,5,7,6,8,4]=>[2,1,3,8,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,4,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,4,3,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,4,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,4,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,4,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,5,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,5,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,5,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,3,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,5,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,5,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,5,4,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,4,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,4,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,2,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,2,5,4,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,3,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,3,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,3,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,4,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,4,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,2,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,3,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,6,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,5,6,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,4,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,4,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,6,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,5,6,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,4,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,2,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,2,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,3,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,3,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,4,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,4,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,3,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,3,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,5,4,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,5,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,4,5,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,5,4,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,4,5,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,2,5,4,6,1,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,6,5,4,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [1,5,6,4,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [1,5,4,6,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [1,3,6,5,4,2,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [4,5,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [3,5,4,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [4,3,5,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [3,4,5,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [2,5,4,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [2,4,5,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [3,2,5,4,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [2,3,5,4,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [2,4,3,5,1,6,8,7]=>[5,3,2,4,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [2,3,4,5,1,6,8,7]=>[5,2,3,4,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [5,7,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,6,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,5,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,6,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,5,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,5,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,6,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,6,5,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,7,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,4,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,6,4,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,4,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,5,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,6,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,7,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,5,7,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,7,6,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,6,7,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,5,7,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,4,7,6,5,1,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,3,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,3,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,4,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,5,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,5,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,5,4,7,6,1,8]=>[7,2,4,3,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,4,5,7,6,1,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,6,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,6,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,4,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,5,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,5,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,5,6,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,2,6,5,7,1,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,2,6,5,7,1,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,3,6,5,7,1,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,4,6,5,7,1,8]=>[7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,6,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,7,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,5,7,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,6,7,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,7,6,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,6,7,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,4,7,6,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,6,4,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,6,5,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,4,6,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,5,6,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,7,6,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,6,7,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,5,7,6,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,6,5,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,5,6,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,4,6,7,5,2,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,4,6,3,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,5,6,3,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,6,5,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,5,6,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,3,6,5,7,2,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,4,6,5,7,2,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,3,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,1,7,6,5,4,3,8]=>[2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,2,2]=>3 [2,1,6,7,5,4,3,8]=>[2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,2,2]=>3 [2,1,5,6,7,4,3,8]=>[2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,2,2]=>3 [2,1,4,6,7,5,3,8]=>[2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,2,2]=>3 [5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [4,5,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [3,5,4,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [3,4,5,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [2,5,4,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [2,4,5,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [3,2,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [2,3,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [3,4,2,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [2,4,3,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [3,6,5,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,3,6,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,4,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,4,5,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,3,6,5,4,1,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,3,5,6,4,1,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,3,2,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,4,3,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,3,4,6,5,1,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,5,4,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,2,4,5,8,6,7,3]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,7,5,6,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,8,5,6,7,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,8,6,5,7,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,4,8,6,7,3]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,4,5,7,8,3]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,4,5,8,7,3]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,4,5,6,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,4,5,6,7,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,4,6,7,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,4,7,6,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,5,4,6,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,5,4,6,7,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,5,4,7,6,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,5,6,4,7,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,5,6,7,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,6,5,4,7,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,6,5,7,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,7,5,6,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,2,7,5,6,8,4]=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,8,5,7,6,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,8,6,5,7,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,2,8,6,7,5,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,4,5,8,6,7,2]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,8,6,7,5,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,4,5,2,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [1,3,6,4,5,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,6,4,5,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,4,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,4,5,6,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,7,4,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,4,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,6,5,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,5,8,6,7,2]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,8,5,7,6,2]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,8,6,7,5,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,4,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,4,5,6,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,3,4,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,5,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,5,4,6,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,5,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,6,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,3,6,5,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,3,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,3,6,5,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,3,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,5,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [1,6,4,5,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,5,3,6,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,5,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,5,6,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,4,5,6,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,5,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,6,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,4,6,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,6,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,4,3,6,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,5,4,3,6,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,4,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,4,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,5,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,3,5,8,6,7,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,8,5,6,7,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,8,5,7,6,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,8,6,5,7,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,8,6,7,5,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,4,5,8,6,7,3]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,8,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,8,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,8,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,8,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,4,8,6,7,3]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,4,5,7,8,3]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,4,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,4,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,4,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,5,4,6,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,5,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,6,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,3,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,4,7,5,6,1,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,6,4,5,1,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,3,6,4,5,1,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,3,7,5,4,6,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,7,5,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,5,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,6,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,7,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,6,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,7,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,6,4,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,6,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,7,4,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,4,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,7,5,6,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,6,4,5,1,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,2,6,4,5,1,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,2,6,4,5,7,1,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,4,5,6,1,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,4,6,5,1,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,5,4,6,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,5,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,3,5,1,6,8,7]=>[5,3,2,4,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [4,2,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,2,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,2,3,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,2,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,3,4,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [5,2,3,4,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,2,3,4,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,3,4,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,3,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,2,3,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,3,5,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,4,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [5,2,4,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,2,4,3,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,2,4,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,4,3,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,4,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,2,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,2,4,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,4,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,2,5,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,3,2,4,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [5,3,2,4,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,2,4,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,3,2,4,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,2,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,4,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [5,3,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,4,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,3,4,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,4,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,3,4,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,4,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,3,4,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,6,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,6,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,4,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,1,6,3,5,8,7]=>[3,5,1,6,2,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,6,3,1,1]=>2 [2,4,6,1,3,5,8,7]=>[4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[6,6,2,1]=>2 [2,1,4,6,3,8,5,7]=>[2,1,5,7,3,8,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,3,2,2,2]=>2 [2,4,1,6,3,8,5,7]=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,3,1,1]=>2 [2,4,6,1,3,8,5,7]=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,2,1]=>1 [2,1,4,6,8,3,5,7]=>[2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,2,2,2]=>2 [2,4,1,6,8,3,5,7]=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,1,1]=>1 [2,4,6,1,8,3,5,7]=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>1 [2,4,6,8,1,3,5,7]=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,2,1]=>1 [2,4,6,1,3,5,7,8]=>[4,5,6,1,2,3,7,8]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[7,6,2,1]=>2 [2,4,6,1,3,7,5,8]=>[4,5,7,1,2,6,3,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1]=>2 [2,4,1,6,7,3,5,8]=>[3,6,1,7,5,2,4,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,1,1]=>2 [2,4,6,7,1,3,5,8]=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,2,1]=>1 [2,4,1,3,6,7,8,5]=>[3,4,1,2,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [2,1,4,6,3,7,8,5]=>[2,1,5,8,3,6,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [2,4,6,1,3,7,8,5]=>[4,5,8,1,2,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [2,1,4,6,7,3,8,5]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [2,4,1,6,7,3,8,5]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,4,6,1,7,3,8,5]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [2,4,6,7,1,3,8,5]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [2,1,4,6,7,8,3,5]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,4,1,6,7,8,3,5]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,4,6,1,7,8,3,5]=>[4,7,8,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [2,4,6,7,1,8,3,5]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,4,6,7,8,1,3,5]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,4,1,3,7,5,8,6]=>[3,4,1,2,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [2,1,4,7,3,5,8,6]=>[2,1,5,8,3,6,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [2,4,7,1,3,5,8,6]=>[4,5,8,1,2,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [2,4,1,3,7,8,5,6]=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [2,4,1,7,3,8,5,6]=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1]=>2 [2,4,7,1,3,8,5,6]=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [2,1,4,7,8,3,5,6]=>[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [2,4,1,7,8,3,5,6]=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,4,7,1,8,3,5,6]=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [2,4,7,8,1,3,5,6]=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [2,4,5,1,7,3,6,8]=>[4,6,3,1,7,2,5,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1]=>2 [2,4,1,5,3,7,8,6]=>[3,5,1,4,2,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1,1]=>2 [2,4,5,1,3,7,8,6]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1]=>2 [2,1,4,5,7,3,8,6]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2]=>2 [2,4,5,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [2,4,5,7,1,3,8,6]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>1 [2,1,4,5,7,8,3,6]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,4,5,1,7,8,3,6]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [2,4,5,7,1,8,3,6]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [2,4,5,7,8,1,3,6]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [2,4,1,3,8,5,6,7]=>[3,4,1,2,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [2,1,4,8,3,5,6,7]=>[2,1,5,8,3,6,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [2,4,8,1,3,5,6,7]=>[4,5,8,1,2,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [2,4,1,5,3,8,6,7]=>[3,5,1,4,2,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1,1]=>2 [2,1,4,5,8,3,6,7]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2]=>2 [2,4,5,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [2,4,5,8,1,3,6,7]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>1 [2,4,1,5,6,3,8,7]=>[3,6,1,4,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [2,4,5,1,6,3,8,7]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [2,4,5,6,1,3,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [2,1,4,5,6,8,3,7]=>[2,1,7,4,5,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [2,4,5,6,1,8,3,7]=>[5,7,3,4,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [2,4,5,6,8,1,3,7]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [2,4,1,5,6,3,7,8]=>[3,6,1,4,5,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [2,4,5,1,6,3,7,8]=>[4,6,3,1,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1]=>2 [2,4,5,6,1,3,7,8]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [2,4,1,5,6,7,3,8]=>[3,7,1,4,5,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [2,4,5,1,6,7,3,8]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,4,5,6,1,7,3,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [2,4,5,6,7,1,3,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,4,1,5,6,7,8,3]=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,5,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,5,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,5,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,5,6,7,8,1,3]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,1,3,6,4,8,7]=>[3,6,1,4,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [2,5,1,6,3,4,8,7]=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [2,5,6,1,3,4,8,7]=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [2,1,5,3,6,8,4,7]=>[2,1,7,4,5,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [2,5,1,6,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1]=>2 [2,5,6,1,3,8,4,7]=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>2 [2,1,5,6,8,3,4,7]=>[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,5,1,6,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>2 [2,5,6,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [2,5,1,3,6,4,7,8]=>[3,6,1,4,5,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [2,5,1,6,3,4,7,8]=>[3,6,1,5,4,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [2,5,1,6,3,7,4,8]=>[3,7,1,5,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [2,1,5,6,7,3,4,8]=>[2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,2,2]=>3 [2,5,6,1,7,3,4,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,1,5,3,6,7,8,4]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,1,3,6,7,8,4]=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,5,6,3,7,8,4]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,1,6,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,6,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,5,6,7,3,8,4]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,1,6,7,3,8,4]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,6,7,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,5,6,7,8,3,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,1,6,7,8,3,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,6,1,7,8,3,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,6,7,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,6,7,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,5,3,7,4,8,6]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2]=>2 [2,1,5,7,3,4,8,6]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [2,5,1,7,3,4,8,6]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,5,7,1,3,4,8,6]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [2,1,5,3,7,8,4,6]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,1,5,7,3,8,4,6]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,5,1,7,3,8,4,6]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,5,7,1,3,8,4,6]=>[4,7,8,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [2,1,5,7,8,3,4,6]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,5,1,7,8,3,4,6]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,5,7,1,8,3,4,6]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [2,5,7,8,1,3,4,6]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,5,1,3,7,4,6,8]=>[3,6,1,4,7,2,5,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1,1]=>2 [2,3,5,7,1,4,6,8]=>[5,2,6,7,1,3,4,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[7,3,2]=>2 [2,3,5,1,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2]=>2 [2,3,5,7,1,4,8,6]=>[5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>1 [2,3,1,5,7,8,4,6]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [2,3,5,7,1,8,4,6]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [2,3,5,7,8,1,4,6]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [2,1,5,3,8,4,6,7]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2]=>2 [2,1,5,8,3,4,6,7]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [2,5,1,8,3,4,6,7]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,5,8,1,3,4,6,7]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [2,3,5,1,4,8,6,7]=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,5,5,2]=>2 [2,3,5,1,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2]=>2 [2,3,5,8,1,4,6,7]=>[5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>1 [2,3,5,1,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,6,2,2]=>2 [2,3,5,6,1,4,8,7]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [2,3,1,5,6,8,4,7]=>[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,3,3,3]=>2 [2,3,5,1,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2]=>2 [2,3,5,6,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [2,3,5,6,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [2,3,5,1,6,4,7,8]=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,2]=>2 [2,3,5,6,1,4,7,8]=>[5,2,6,4,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[7,6,2]=>2 [2,3,5,6,1,7,4,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [2,3,5,6,7,1,4,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [2,3,5,1,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,5,6,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,3,5,6,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,5,6,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,6,3,7,4,8,5]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,7,3,4,8,5]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,1,7,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,7,1,3,4,8,5]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,6,3,7,8,4,5]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,1,3,7,8,4,5]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,6,7,3,8,4,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,1,7,3,8,4,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,7,1,3,8,4,5]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,1,7,8,3,4,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,7,1,8,3,4,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,7,8,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,1,3,4,5,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,6,1,3,4,7,5,8]=>[3,7,1,4,5,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [2,3,6,1,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2]=>2 [2,3,6,7,1,4,5,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [2,1,6,3,4,7,8,5]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,1,3,4,7,8,5]=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,3,6,1,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,1,3,6,7,4,8,5]=>[2,1,3,8,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,6,7,8,4,5]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,3,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,6,1,7,8,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,6,7,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,3,6,7,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,6,3,8,4,5,7]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,1,6,8,3,4,5,7]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,6,1,8,3,4,5,7]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,6,8,1,3,4,5,7]=>[4,7,8,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [2,1,6,3,4,8,5,7]=>[2,1,7,4,5,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [2,3,1,6,4,8,5,7]=>[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,3,3,3]=>2 [2,3,6,1,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2]=>2 [2,3,1,6,8,4,5,7]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [2,3,6,1,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2]=>2 [2,3,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [2,6,1,3,4,5,8,7]=>[3,6,1,4,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [2,3,6,1,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,6,2,2]=>2 [2,3,4,1,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [2,3,4,6,1,8,5,7]=>[5,2,3,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,3,3]=>2 [2,3,4,6,8,1,5,7]=>[6,2,3,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [2,6,1,3,4,5,7,8]=>[3,6,1,4,5,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [2,3,6,1,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,2]=>2 [2,3,4,6,1,5,7,8]=>[5,2,3,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[7,6,3]=>2 [2,3,4,6,1,7,5,8]=>[5,2,3,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [2,3,4,6,7,1,5,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [2,3,4,6,1,7,8,5]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,4,6,7,8,1,5]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,1,7,3,8,4,5,6]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,1,3,8,4,5,6]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,7,8,3,4,5,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,1,8,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,8,1,3,4,5,6]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,7,3,4,8,5,6]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,3,7,4,8,5,6]=>[2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,3,1,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,7,1,4,8,5,6]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,1,3,7,8,4,5,6]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,3,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,1,7,3,4,5,8,6]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,1,3,4,5,8,6]=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,3,1,7,4,5,8,6]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,7,1,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,4,7,1,5,8,6]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,4,1,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,4,7,1,8,5,6]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,4,7,8,1,5,6]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,7,1,3,4,5,6,8]=>[3,7,1,4,5,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [2,3,7,1,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2]=>2 [2,3,4,7,1,5,6,8]=>[5,2,3,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [2,3,4,5,7,1,8,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [2,3,4,5,7,8,1,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,1,8,3,4,5,6,7]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,1,3,4,5,6,7]=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,3,8,4,5,6,7]=>[2,1,3,8,5,6,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,3,1,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,4,1,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,4,8,1,5,6,7]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,4,5,1,8,6,7]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,3,4,5,8,1,6,7]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [2,3,4,5,6,8,1,7]=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,1,4,6,2,5,8,7]=>[5,2,3,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [3,4,1,6,2,5,8,7]=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [3,4,6,1,2,5,8,7]=>[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [3,1,4,2,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [3,4,1,2,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [3,1,4,6,2,8,5,7]=>[5,2,3,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,3,3]=>2 [3,4,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,3,3]=>2 [3,1,4,6,8,2,5,7]=>[6,2,3,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [3,4,1,6,8,2,5,7]=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [3,4,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [3,4,1,6,2,7,5,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [3,4,1,6,7,2,5,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [3,4,6,7,1,2,5,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [3,1,4,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,1,2,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,6,2,7,8,5]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,4,1,6,2,7,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,1,4,6,7,2,8,5]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,4,1,6,7,2,8,5]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,4,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,6,7,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,4,6,7,8,2,5]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,1,6,7,8,2,5]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,6,1,7,8,2,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,6,7,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,6,7,8,1,2,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,4,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,1,2,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,7,2,5,8,6]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,4,1,7,2,5,8,6]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,1,4,2,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,7,2,8,5,6]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,4,7,1,8,2,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,7,8,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,1,5,2,7,6,8]=>[5,3,2,4,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [3,4,5,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [3,4,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [3,1,4,5,2,7,8,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,5,1,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,1,4,5,7,2,8,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,4,5,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,4,5,7,8,2,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,1,5,7,8,2,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,5,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,5,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,5,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,1,4,2,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,1,2,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,8,2,5,6,7]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,4,1,8,2,5,6,7]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,4,1,5,2,8,6,7]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,5,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,1,4,5,8,2,6,7]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,4,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,4,5,1,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [3,1,4,5,6,2,8,7]=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,4,5,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,4,5,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,1,4,5,6,8,2,7]=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,4,5,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,4,5,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,1,4,5,6,2,7,8]=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,4,5,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,1,4,5,6,7,2,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,5,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,5,2,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,6,2,2]=>2 [3,5,1,2,6,4,8,7]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [3,1,5,6,2,4,8,7]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [3,5,1,6,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [3,5,6,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [3,1,5,2,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2]=>2 [3,1,5,6,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [3,5,6,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [3,1,5,6,8,2,4,7]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [3,5,1,6,8,2,4,7]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [3,5,6,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [3,5,6,8,1,2,4,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [3,1,5,6,2,4,7,8]=>[5,2,6,4,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[7,6,2]=>2 [3,5,1,6,2,4,7,8]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [3,5,6,1,2,4,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [3,5,1,2,6,7,4,8]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [3,5,1,6,2,7,4,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [3,5,1,6,7,2,4,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,5,6,7,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,1,5,2,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,5,1,2,6,7,8,4]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,5,6,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,5,1,6,2,7,8,4]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,6,1,2,7,8,4]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,1,5,6,7,2,8,4]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,1,6,7,2,8,4]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,6,1,7,2,8,4]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,6,7,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,5,6,7,8,2,4]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,1,6,7,8,2,4]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,6,1,7,8,2,4]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,6,7,1,8,2,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,6,7,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,5,2,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2]=>2 [3,5,1,2,7,4,8,6]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [3,1,5,7,2,4,8,6]=>[5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>1 [3,5,1,7,2,4,8,6]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>1 [3,5,7,1,2,4,8,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [3,1,5,2,7,8,4,6]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2]=>2 [3,5,1,2,7,8,4,6]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [3,1,5,7,2,8,4,6]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [3,5,1,7,2,8,4,6]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [3,5,7,1,2,8,4,6]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [3,1,5,7,8,2,4,6]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [3,5,1,7,8,2,4,6]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [3,5,7,8,1,2,4,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,1,5,2,7,4,6,8]=>[4,2,6,1,7,3,5,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,2]=>2 [3,5,1,2,7,4,6,8]=>[4,6,3,1,7,2,5,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1]=>2 [3,1,5,7,2,4,6,8]=>[5,2,6,7,1,3,4,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[7,3,2]=>2 [3,5,1,7,2,4,6,8]=>[5,6,3,7,1,2,4,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[7,3,1]=>2 [3,5,7,1,2,4,6,8]=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,2,1]=>1 [1,3,5,7,2,4,6,8]=>[1,5,6,7,2,3,4,8]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,2,1,1,1,1]=>2 [3,1,5,2,4,7,8,6]=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,5,5,2]=>2 [3,5,1,2,4,7,8,6]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1]=>2 [3,1,2,5,7,4,8,6]=>[3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,4,3,3,3]=>2 [1,3,5,2,7,4,8,6]=>[1,4,6,2,8,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,1,1,1]=>2 [1,3,5,7,2,4,8,6]=>[1,5,6,8,2,3,7,4]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,3,2,1,1,1,1]=>2 [3,1,2,5,7,8,4,6]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [1,3,5,2,7,8,4,6]=>[1,4,7,2,8,6,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,1,1,1]=>2 [1,3,5,7,2,8,4,6]=>[1,5,7,8,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1,1,1,1]=>2 [1,3,5,7,8,2,4,6]=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1,1,1]=>1 [3,1,5,2,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2]=>2 [3,5,1,2,8,4,6,7]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [3,1,5,8,2,4,6,7]=>[5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>1 [3,5,1,8,2,4,6,7]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>1 [3,1,5,2,4,8,6,7]=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,5,5,2]=>2 [3,5,1,2,4,8,6,7]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1]=>2 [3,1,2,5,8,4,6,7]=>[3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,4,3,3,3]=>2 [1,3,5,2,8,4,6,7]=>[1,4,6,2,8,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,1,1,1]=>2 [1,3,5,8,2,4,6,7]=>[1,5,6,8,2,3,7,4]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,3,2,1,1,1,1]=>2 [3,1,2,5,6,8,4,7]=>[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,3,3,3]=>2 [1,3,5,2,6,8,4,7]=>[1,4,7,2,5,8,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,1,1,1]=>2 [1,3,5,6,2,8,4,7]=>[1,5,7,4,2,8,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,2,1,1,1,1]=>2 [1,3,5,6,8,2,4,7]=>[1,6,7,4,8,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1,1,1,1]=>2 [1,3,5,2,6,7,4,8]=>[1,4,7,2,5,6,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,1,1,1]=>2 [1,3,5,6,2,7,4,8]=>[1,5,7,4,2,6,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [1,3,5,6,7,2,4,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [3,1,2,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,5,2,6,7,8,4]=>[1,4,8,2,5,6,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,3,5,6,2,7,8,4]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,5,6,7,2,8,4]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,3,5,6,7,8,2,4]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,1,6,2,7,4,8,5]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,6,1,2,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,6,1,7,2,4,8,5]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,7,1,2,4,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,1,2,7,8,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,6,7,2,8,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,6,1,7,2,8,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,7,1,2,8,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,1,7,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,8,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,6,7,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [3,1,6,2,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2]=>2 [3,6,1,2,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [1,3,6,2,4,7,5,8]=>[1,4,7,2,5,6,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,1,1,1]=>2 [1,3,6,2,7,4,5,8]=>[1,4,7,2,6,5,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,1,1,1]=>2 [3,1,6,2,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,6,1,2,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,2,6,4,7,8,5]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,6,2,4,7,8,5]=>[1,4,8,2,5,6,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [3,1,2,6,7,4,8,5]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,2,6,7,4,8,5]=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,6,7,2,4,8,5]=>[1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [3,1,2,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,2,6,7,8,4,5]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,3,6,2,7,8,4,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,3,6,7,8,2,4,5]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,1,6,2,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2]=>2 [3,6,1,2,8,4,5,7]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [3,1,6,8,2,4,5,7]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [3,6,1,8,2,4,5,7]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [3,6,8,1,2,4,5,7]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [3,1,6,2,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2]=>2 [1,3,6,2,4,8,5,7]=>[1,4,7,2,5,8,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,1,1,1]=>2 [3,1,2,6,8,4,5,7]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [3,1,6,2,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,6,2,2]=>2 [3,6,1,2,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [1,3,4,6,8,2,5,7]=>[1,6,3,7,8,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,1,1,1,1]=>2 [3,1,6,2,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,2]=>2 [3,6,1,2,4,5,7,8]=>[4,6,3,1,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1]=>2 [1,3,4,6,2,7,5,8]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,3,1,1,1,1]=>2 [1,3,4,6,7,2,5,8]=>[1,6,3,7,5,2,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,1,1,1,1]=>2 [1,3,4,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,3,4,6,7,8,2,5]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [3,1,7,2,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,7,1,2,8,4,5,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,7,8,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,7,1,8,2,4,5,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,8,1,2,4,5,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,2,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,2,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,2,7,4,8,5,6]=>[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [3,1,2,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,7,2,8,4,5,6]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,3,7,8,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [3,1,7,2,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,7,1,2,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,3,7,2,4,5,8,6]=>[1,4,8,2,5,6,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,3,4,7,2,5,8,6]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,3,4,7,8,2,5,6]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [3,1,7,2,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2]=>2 [3,7,1,2,4,5,6,8]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [1,3,7,2,4,5,6,8]=>[1,4,7,2,5,6,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,1,1,1]=>2 [1,3,4,7,2,5,6,8]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,3,1,1,1,1]=>2 [1,3,4,5,7,2,8,6]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,3,4,5,7,8,2,6]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [3,1,8,2,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,8,1,2,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,2,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,8,2,4,5,6,7]=>[1,4,8,2,5,6,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,3,4,8,2,5,6,7]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,3,4,5,8,2,6,7]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,3,4,5,6,8,2,7]=>[1,7,3,4,5,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [4,1,5,2,6,3,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,1,2,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,1,5,6,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,1,6,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,1,5,2,6,8,3,7]=>[7,2,4,3,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,1,2,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,5,6,2,8,3,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,1,6,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,6,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,5,6,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,1,6,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,6,1,8,2,3,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,6,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,5,6,2,3,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,5,1,6,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,5,1,6,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,6,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,5,6,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,6,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,6,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,5,2,7,3,8,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,1,7,2,3,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,5,7,1,2,3,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,5,2,7,8,3,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,1,2,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,5,7,2,8,3,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,1,7,2,8,3,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [4,5,1,7,2,3,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,1,5,2,3,7,6,8]=>[5,2,4,3,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [4,5,1,2,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [1,4,5,2,7,3,6,8]=>[1,6,4,3,7,2,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1,1,1,1]=>2 [4,1,5,2,3,7,8,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,1,2,5,3,7,8,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,1,2,5,7,3,8,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,4,2,5,7,3,8,6]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,4,5,2,7,3,8,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,4,5,7,2,3,8,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [4,1,2,5,7,8,3,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,4,2,5,7,8,3,6]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,4,5,2,7,8,3,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,1,5,2,8,3,6,7]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,1,2,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,1,8,2,3,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,5,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,5,2,3,8,6,7]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,5,1,2,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,1,2,5,3,8,6,7]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,1,2,5,8,3,6,7]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,4,2,5,8,3,6,7]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,4,5,2,8,3,6,7]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,4,5,8,2,3,6,7]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [4,5,1,2,3,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [4,1,2,5,6,3,8,7]=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,4,5,6,2,3,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [4,1,2,5,6,8,3,7]=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,4,2,5,6,8,3,7]=>[1,7,3,4,5,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,4,5,6,2,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,4,5,6,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,1,2,5,6,3,7,8]=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,1,2,5,6,7,3,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,2,5,6,7,3,8]=>[1,7,3,4,5,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,5,6,2,7,3,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,5,6,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,2,5,6,7,8,3]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,2,6,7,8,3]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,6,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,6,7,2,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,6,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,6,2,7,3,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,6,7,2,3,8,5]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,6,1,7,2,3,8,5]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,7,1,2,3,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,1,2,7,8,3,5]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,6,7,2,8,3,5]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,1,7,2,8,3,5]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,7,1,2,8,3,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,6,7,8,2,3,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,1,7,8,2,3,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,7,1,8,2,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,7,8,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,6,2,7,3,5,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,6,1,2,7,3,5,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,6,1,7,2,3,5,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,6,7,1,2,3,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,1,6,2,3,7,5,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [4,6,1,2,3,7,5,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [4,1,2,6,3,7,5,8]=>[5,2,3,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [1,4,2,6,3,7,5,8]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,3,1,1,1,1]=>2 [4,1,2,6,7,3,5,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [1,4,2,6,7,3,5,8]=>[1,6,3,7,5,2,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,1,1,1,1]=>2 [1,4,6,2,7,3,5,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [4,1,6,2,3,7,8,5]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,1,2,6,3,7,8,5]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,4,6,2,3,7,8,5]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [4,1,2,6,7,3,8,5]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,4,6,2,7,3,8,5]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,6,7,2,3,8,5]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,2,6,7,8,3,5]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,4,6,2,7,8,3,5]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,4,6,7,2,8,3,5]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,4,6,7,8,2,3,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,1,6,2,8,3,5,7]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [4,6,1,2,8,3,5,7]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [4,1,6,8,2,3,5,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [4,6,1,8,2,3,5,7]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [4,6,8,1,2,3,5,7]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,1,6,2,3,8,5,7]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [4,6,1,2,3,8,5,7]=>[5,7,3,4,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [4,1,2,6,3,8,5,7]=>[5,2,3,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,3,3]=>2 [1,4,2,6,3,8,5,7]=>[1,5,3,7,2,8,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,3,1,1,1,1]=>2 [1,4,6,2,3,8,5,7]=>[1,5,7,4,2,8,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,2,1,1,1,1]=>2 [1,4,2,6,8,3,5,7]=>[1,6,3,7,8,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,1,1,1,1]=>2 [1,4,6,2,8,3,5,7]=>[1,6,7,4,8,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1,1,1,1]=>2 [1,4,6,8,2,3,5,7]=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1,1,1]=>1 [4,1,6,2,3,5,8,7]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [4,6,1,2,3,5,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [4,1,2,6,3,5,8,7]=>[5,2,3,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [4,1,2,3,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [1,2,4,6,8,3,5,7]=>[1,2,6,7,8,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,2,2,2,1]=>2 [4,1,6,2,3,5,7,8]=>[5,2,6,4,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[7,6,2]=>2 [4,6,1,2,3,5,7,8]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [4,1,2,6,3,5,7,8]=>[5,2,3,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[7,6,3]=>2 [4,1,2,3,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [1,2,4,6,3,7,8,5]=>[1,2,5,8,3,6,7,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [1,2,4,6,7,3,8,5]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [1,2,4,6,7,8,3,5]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [4,1,7,2,8,3,5,6]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,1,2,8,3,5,6]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,7,8,2,3,5,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,1,8,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,8,1,2,3,5,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,7,2,3,8,5,6]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,7,1,2,3,8,5,6]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,2,7,3,8,5,6]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,4,7,2,3,8,5,6]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [4,1,2,7,8,3,5,6]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,4,2,7,8,3,5,6]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,4,7,2,8,3,5,6]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,7,8,2,3,5,6]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [4,1,7,2,3,5,8,6]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,7,1,2,3,5,8,6]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,2,7,3,5,8,6]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,4,2,7,3,5,8,6]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,4,7,2,3,5,8,6]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [4,1,2,3,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [1,2,4,7,3,5,8,6]=>[1,2,5,8,3,6,7,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [4,1,2,3,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [1,2,4,7,3,8,5,6]=>[1,2,5,8,3,7,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [1,2,4,7,8,3,5,6]=>[1,2,6,8,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [4,1,7,2,3,5,6,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [4,7,1,2,3,5,6,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [4,1,2,7,3,5,6,8]=>[5,2,3,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [1,4,2,7,3,5,6,8]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,3,1,1,1,1]=>2 [1,4,7,2,3,5,6,8]=>[1,5,7,4,2,6,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [1,2,4,5,7,3,8,6]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2,1]=>2 [1,2,4,5,7,8,3,6]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [4,1,8,2,3,5,6,7]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,8,1,2,3,5,6,7]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,2,8,3,5,6,7]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,4,2,8,3,5,6,7]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,4,8,2,3,5,6,7]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [4,1,2,3,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [1,2,4,8,3,5,6,7]=>[1,2,5,8,3,6,7,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [1,2,4,5,8,3,6,7]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2,1]=>2 [1,2,4,5,6,8,3,7]=>[1,2,7,4,5,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2,1]=>2 [5,1,6,2,7,3,4,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,1,2,7,3,4,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,1,7,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,6,2,3,7,4,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,2,6,3,7,4,8]=>[7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,2,6,3,7,4,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,1,2,6,7,3,4,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,2,6,7,3,4,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,6,2,7,3,4,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,6,7,2,3,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,2,6,3,7,8,4]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,2,3,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,6,7,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,2,7,8,3,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,6,2,8,3,4,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,6,1,2,8,3,4,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,6,1,8,2,3,4,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,8,1,2,3,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,6,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,6,1,2,3,8,4,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,1,2,6,3,8,4,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,5,2,6,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,5,6,2,3,8,4,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [5,1,2,6,8,3,4,7]=>[7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,2,6,8,3,4,7]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,5,6,2,8,3,4,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [5,1,6,2,3,4,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,1,2,3,4,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,1,2,6,3,4,8,7]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,5,6,2,3,4,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [5,1,2,3,6,8,4,7]=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,5,2,3,6,8,4,7]=>[1,7,3,4,5,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,2,5,6,3,8,4,7]=>[1,2,7,5,4,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2,1]=>2 [1,2,5,6,8,3,4,7]=>[1,2,7,6,8,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [5,1,6,2,3,4,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,1,2,6,3,4,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,1,2,3,6,4,7,8]=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,1,2,3,6,7,4,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,2,3,6,7,4,8]=>[1,7,3,4,5,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,2,3,6,7,8,4]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,3,6,7,8,4]=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,6,3,7,8,4]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,6,7,3,8,4]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,6,7,8,3,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,1,7,2,8,3,4,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,1,2,8,3,4,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,7,8,2,3,4,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,1,8,2,3,4,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,8,1,2,3,4,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,7,2,3,8,4,6]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,1,2,3,8,4,6]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,2,7,3,8,4,6]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,5,2,7,3,8,4,6]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,5,7,2,3,8,4,6]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,7,2,8,3,4,6]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,7,8,2,3,4,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,1,7,2,3,4,8,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,7,1,2,3,4,8,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,1,2,7,3,4,8,6]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,5,2,7,3,4,8,6]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,5,7,2,3,4,8,6]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,1,2,3,7,4,8,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,5,2,3,7,4,8,6]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,2,5,3,7,4,8,6]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2,1]=>2 [1,2,5,7,3,4,8,6]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [5,1,2,3,7,8,4,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,2,3,7,8,4,6]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,2,5,3,7,8,4,6]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [1,2,5,7,3,8,4,6]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,2,5,7,8,3,4,6]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [5,1,7,2,3,4,6,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,7,1,2,3,4,6,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,1,2,7,3,4,6,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [1,5,2,7,3,4,6,8]=>[1,6,3,7,5,2,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,1,1,1,1]=>2 [1,5,7,2,3,4,6,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [5,1,2,3,4,7,8,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,1,8,2,3,4,6,7]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,1,2,3,4,6,7]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,1,2,8,3,4,6,7]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,5,2,8,3,4,6,7]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,5,8,2,3,4,6,7]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,1,2,3,8,4,6,7]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,5,2,3,8,4,6,7]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,2,5,3,8,4,6,7]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2,1]=>2 [1,2,5,8,3,4,6,7]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [5,1,2,3,4,8,6,7]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,1,2,3,4,6,8,7]=>[5,2,3,4,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [1,6,2,7,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,2,3,8,4,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,7,8,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,2,8,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,7,3,4,8,5]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,2,3,4,8,5]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,7,3,4,8,5]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,2,3,7,8,4,5]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,3,7,8,4,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,7,3,8,4,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,7,8,3,4,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [6,1,7,2,3,4,5,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,2,7,3,4,5,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,2,7,3,4,5,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,7,2,3,4,5,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [6,1,2,3,7,4,5,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,2,3,4,7,5,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,2,3,4,7,5,8]=>[1,7,3,4,5,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,2,3,4,7,8,5]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,3,4,7,8,5]=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [6,1,8,2,3,4,5,7]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,1,2,3,4,5,7]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,2,8,3,4,5,7]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,6,2,8,3,4,5,7]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,6,8,2,3,4,5,7]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [6,1,2,3,8,4,5,7]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,6,2,3,8,4,5,7]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,2,6,3,8,4,5,7]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [1,2,6,8,3,4,5,7]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [6,1,2,3,4,8,5,7]=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,6,2,3,4,8,5,7]=>[1,7,3,4,5,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,2,6,3,4,8,5,7]=>[1,2,7,4,5,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2,1]=>2 [6,1,2,3,4,5,8,7]=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,7,2,8,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,2,3,4,5,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,3,8,4,5,6]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,3,8,4,5,6]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,3,4,5,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,2,3,4,5,8,6]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,3,4,5,8,6]=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,2,3,4,5,6,8]=>[1,7,3,4,5,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,2,3,4,5,6,7]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,3,4,5,6,7]=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,7,5,4,8,3,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,6,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,5,8,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [8,7,4,3,6,5,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [5,6,7,8,1,2,3,4,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [2,1,10,9,6,5,8,7,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [2,1,7,8,9,10,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [3,2,6,1,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,2]=>2 [4,2,6,1,3,5,7,8]=>[5,4,6,2,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[7,6,2]=>2 [5,3,6,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,3,5,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,2,7,1,3,4,6,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,3,7,1,2,4,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,4,7,1,2,3,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [6,2,7,1,3,4,5,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,7,1,2,4,5,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,7,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,1,2,4,6,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,6,1,2,4,5,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,6,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [5,2,8,1,3,4,6,7]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,4,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,2,8,1,3,4,5,7]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,3,8,1,2,4,5,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,8,1,2,3,5,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,8,1,2,3,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,5,7,1,4,6,8]=>[5,2,6,7,1,3,4,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[7,3,2]=>2 [4,2,5,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,3,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,2,4,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,3,4,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,2,6,7,1,3,5,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,2,6,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,6,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,5,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,5,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,4,6,1,3,5,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,4,6,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,5,8,1,4,6,7]=>[5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>1 [4,2,5,8,1,3,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,2,4,8,1,3,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,2,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [4,2,6,8,1,3,5,7]=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [4,3,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [5,2,6,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,2,4,8,1,3,5,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,3,4,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,2,5,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,3,5,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,4,5,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,3,7,8,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,7,8,1,2,4,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,2,5,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [4,6,2,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,6,3,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,7,3,5,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,7,2,4,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,7,3,4,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,7,3,6,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,7,2,6,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,3,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,2,5,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,2,5,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,2,4,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,3,4,1,2,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,2,6,1,4,5,7]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,2,6,1,3,5,7]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,3,6,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,6,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,2,4,1,3,5,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,3,4,1,2,5,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,3,5,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,4,5,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,2,7,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,2,7,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,3,7,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,2,7,1,3,4,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,7,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,7,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,2,6,1,5,7,8]=>[5,3,2,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[7,6,3]=>2 [5,3,2,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,2,6,1,3,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,3,2,5,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,2,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,5,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,3,2,7,1,5,6,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [5,3,2,7,1,4,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,4,3,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [6,3,2,7,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,7,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,3,7,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,2,7,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,2,5,1,4,6,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,2,5,1,3,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,2,6,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,2,6,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,3,6,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,2,6,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,3,5,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,2,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [5,3,2,8,1,4,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,4,3,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [6,3,2,8,1,4,5,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,4,2,8,1,3,5,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,4,3,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,5,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,5,3,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,5,4,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,2,5,8,1,4,7]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [4,6,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,6,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,7,2,5,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,5,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,2,4,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,3,4,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,2,6,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,3,6,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,2,5,7,1,4,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,2,5,7,1,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,5,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,4,7,1,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,2,6,7,1,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,3,6,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,2,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [5,3,2,6,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,2,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,3,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,3,2,5,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,5,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,3,2,7,8,1,4,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,3,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,7,2,6,1,5,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,3,7,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,7,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,7,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,7,3,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,6,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,8,2,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,8,2,6,1,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,8,2,6,1,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,8,3,6,1,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,3,8,2,5,1,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,8,2,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,8,2,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,8,2,7,1,4,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,8,2,7,1,3,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,8,3,7,1,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,3,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,4,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,3,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,3,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [6,5,3,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,5,4,2,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,5,4,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,8,3,7,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,3,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,5,4,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,1,2,3,8,7,4,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,2,8,3,7,5,6]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [6,1,2,5,3,8,4,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,2,8,6,3,5,7]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,1,2,8,7,3,5,6]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,1,2,7,6,3,8,5]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,1,2,5,8,7,3,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,1,8,2,4,7,5,6]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,8,2,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,8,2,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,7,2,6,4,8,5]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,5,2,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2]=>2 [3,1,8,2,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [6,1,4,2,3,8,5,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,1,5,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,1,4,2,8,3,6,7]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,1,4,2,7,3,8,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,1,4,2,6,8,3,7]=>[7,2,4,3,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,1,4,2,8,7,3,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,1,4,8,2,7,5,6]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,1,8,6,2,4,5,7]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,1,6,5,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [3,1,8,5,2,7,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,1,8,6,2,7,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,1,6,5,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,1,4,5,2,8,3,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,1,4,8,6,2,5,7]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,4,8,7,2,5,6]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,4,7,6,2,8,5]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,8,5,6,2,4,7]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,8,5,7,2,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,8,7,6,2,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,7,5,6,2,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,4,5,8,7,2,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,1,8,5,6,7,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,1,3,6,4,5,7]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,1,3,7,4,5,6]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,1,3,6,7,4,5]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,1,8,3,7,5,6]=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1]=>2 [2,8,1,5,3,4,6,7]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,5,3,4,8,6]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,1,6,3,4,5,7]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,6,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,5,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1]=>2 [2,8,1,5,3,7,4,6]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,1,6,3,7,4,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,5,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,1,8,6,3,5,7]=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,4,1,8,7,3,5,6]=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,4,1,7,6,3,8,5]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,8,1,5,6,3,4,7]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,1,5,7,3,4,6]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,1,7,6,3,4,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,5,6,3,8,4]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,1,8,6,7,3,5]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,8,1,5,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [6,3,1,2,4,8,5,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,1,2,8,4,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,3,1,2,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,3,1,2,6,8,4,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,1,2,8,7,4,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,1,2,3,8,5,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,8,1,2,3,7,4,6]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,1,2,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,4,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,8,1,2,6,3,4,7]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,1,2,7,3,4,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,1,2,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,4,1,2,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,1,8,2,5,6,7]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,3,1,7,2,5,8,6]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,3,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,3,3]=>2 [4,3,1,8,2,7,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,3,1,6,2,7,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [6,3,1,5,2,8,4,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,8,1,5,2,3,4,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,1,5,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,1,8,6,2,5,7]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,1,8,7,2,5,6]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,1,7,6,2,8,5]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,1,5,8,7,2,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,1,8,6,7,2,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,3,8,1,4,7,5,6]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,8,1,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,7,1,6,4,8,5]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,5,1,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2]=>2 [2,3,8,1,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,8,4,1,3,5,6,7]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,4,1,3,5,8,6]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,4,1,3,8,5,7]=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>2 [2,8,4,1,3,7,5,6]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,4,1,3,7,8,5]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,5,1,3,4,6,7]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,5,1,3,4,8,6]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,7,1,3,4,5,6]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,5,1,3,8,4,7]=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>2 [2,8,5,1,3,7,4,6]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,8,1,3,7,4,5]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,5,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,4,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [2,5,4,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [2,8,4,1,6,3,5,7]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,4,1,7,3,5,6]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,4,1,6,3,8,5]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,5,1,6,3,4,7]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,5,1,7,3,4,6]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,8,1,6,3,4,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,5,1,6,3,8,4]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,4,1,8,7,3,6]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [2,8,4,1,6,7,3,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,5,1,6,7,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,4,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,3,4,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,3,5,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,8,4,1,2,3,5,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,5,1,2,3,4,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,5,4,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,4,1,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,3,4,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,3,4,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,4,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,4,8,1,7,5,6]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,8,6,1,4,5,7]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,3,6,5,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [2,3,8,5,1,7,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,3,8,6,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,3,6,5,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,8,4,5,1,3,6,7]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,5,1,3,8,6]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,4,6,1,3,5,7]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,8,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,6,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,6,5,1,3,4,7]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,8,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,8,6,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,6,5,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [2,8,4,5,1,7,3,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,4,6,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,6,5,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,5,1,7,8,3]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,3,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,3,4,8,6,1,5,7]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,3,4,8,7,1,5,6]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,3,4,7,6,1,8,5]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,3,8,5,6,1,4,7]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,8,5,7,1,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,8,7,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,7,5,6,1,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,8,4,5,6,1,3,7]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,4,5,7,1,3,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,4,7,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,7,5,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,5,6,1,8,3]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,4,5,8,7,1,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,8,5,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,4,5,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,1,2,3,4,5,9,6,8]=>[8,2,3,4,5,6,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>3 [6,1,2,3,4,7,9,5,8]=>[8,2,3,4,5,6,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>3 [4,1,2,5,6,7,9,3,8]=>[8,2,3,4,5,6,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>3 [3,1,4,5,6,7,9,2,8]=>[8,2,3,4,5,6,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>3 [2,9,1,3,4,5,6,7,8]=>[3,9,1,4,5,6,7,8,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [2,8,1,3,4,5,6,9,7]=>[3,9,1,4,5,6,7,8,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [2,7,1,3,4,5,8,9,6]=>[3,9,1,4,5,6,7,8,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [2,5,1,3,6,7,8,9,4]=>[3,9,1,4,5,6,7,8,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [2,8,1,9,7,3,4,5,6]=>[3,9,1,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [2,9,1,8,6,7,3,4,5]=>[3,9,1,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [2,9,1,5,6,7,8,3,4]=>[3,9,1,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [2,4,1,5,6,7,8,9,3]=>[3,9,1,4,5,6,7,8,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [5,9,1,2,3,4,6,7,8]=>[6,9,3,4,5,1,7,8,2]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,8,1,2,3,4,6,9,7]=>[6,9,3,4,5,1,7,8,2]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,7,1,2,3,4,8,9,6]=>[6,9,3,4,5,1,7,8,2]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>1 [7,3,4,5,6,1,9,2,8]=>[8,6,5,4,3,2,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>3 [2,3,4,5,6,7,9,1,8]=>[8,2,3,4,5,6,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>3 [3,5,2,6,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [3,5,2,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,5,2,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,7,2,3,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,6,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,5,1,6,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,6,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,7,3,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,7,3,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,7,3,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,7,3,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,7,1,3,8,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,1,7,4,8,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,1,5,7,4,8,3,6]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,1,5,7,4,8,6,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,7,8,4,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,7,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,6,1,7,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,7,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,7,2,8,1,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,7,2,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,2,7,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,2,7,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,2,7,1,8,4,6]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [3,4,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,1,2,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,5,2,7,1,8,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,7,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,2,7,8,5,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,1,7,2,8,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,5,7,3,8,6,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,7,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,6,1,7,8,2,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,1,7,8,5,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,6,7,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,6,7,3,8,5,2,1,10,9]=>[8,7,6,4,5,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [5,6,7,8,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [2,1,6,8,9,5,10,7,4,3]=>[2,1,10,9,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [2,1,7,8,9,10,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [2,6,7,4,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,7,4,5,2,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,4,7,6,2,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,5,4,7,6,1,8,3]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,5,6,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,1,8,4,5,2,3,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,4,8,6,2,3,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,3,2,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,1,3,8,2,6,4,7]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,1,8,3,2,5,4,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,3,7,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,5,3,7,2,6,4,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,7,3,2,5,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,6,7,3,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,7,2,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,4,1,8,7,2,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,1,8,2,7,4,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,1,3,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,2,1,8,3,4,7,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,3,1,6,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,1,5,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,6,1,5,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [4,6,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,7,4,1,2,8,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,5,1,2,8,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,5,2,8,4,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,7,5,3,8,4,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,3,7,4,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,8,1,5,2,7,4,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,5,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,6,1,7,2,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,6,7,2,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,8,6,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,6,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,7,1,6,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,6,1,8,2,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,1,7,2,8,4,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,4,8,1,2,7,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,8,1,2,7,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,1,8,2,7,4,6]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [2,1,5,8,3,7,4,6]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,1,6,8,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,6,1,8,7,2,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,8,1,7,2,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,8,1,6,2,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,8,6,2,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,7,8,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,7,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,8,1,7,6,2,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,7,1,6,2,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,2,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,2,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,2,6,1,7,4,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,2,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,2,6,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [4,3,2,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,3,2,8,1,6,4,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,3,8,2,1,5,4,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,7,2,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,7,2,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,2,7,1,4,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,4,2,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,2,8,1,7,4,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,2,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,2,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,3,2,8,1,4,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [6,3,8,2,1,4,5,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,2,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,3,2,7,5,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,2,3,7,5,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,8,3,7,6,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,4,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,8,3,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,8,1,3,7,5,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,1,8,3,7,6,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,2,5,8,3,7,6,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,4,1,3,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [2,5,3,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,4,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,1,3,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,2,3,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,3,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,8,2,7,6,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [3,1,5,8,2,7,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,6,8,1,2,7,5,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,8,2,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,2,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,1,4,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,4,5,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [5,1,3,2,6,4,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,1,3,2,5,4,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,1,4,2,5,3,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,1,4,2,6,3,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,1,6,2,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,6,2,2]=>2 [4,1,6,2,5,3,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,2,5,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,6,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,7,1,4,3,8,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,2,8,1,4,3,7,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,7,2,5,3,8,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,7,2,5,4,8,6]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,1,7,3,5,4,8,6]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,3,5,4,7,6]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,8,2,5,4,7,6]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,1,8,2,5,3,7,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,8,2,6,3,7,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,8,2,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,1,8,3,6,4,7,5]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,3,6,4,8,5]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,1,7,2,6,3,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,1,3,2,7,4,8,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,1,3,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,3,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,1,3,2,8,4,7,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,1,4,2,8,3,7,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,1,5,2,8,3,7,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,1,5,2,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2]=>2 [2,1,5,3,8,4,7,6]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2]=>2 [2,1,6,3,8,4,7,5]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,6,2,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,1,6,2,8,3,7,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,8,3,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,8,4,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,8,4,7,3,6,5]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,4,8,3,6,5]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,7,4,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,7,3,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,2,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [5,3,6,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,3,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,7,3,8,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,2,6,3,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,2,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,1,6,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,6,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,5,6,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,1,6,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,6,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,7,1,5,8,3,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,7,8,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,3,1,8,2,4,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,1,5,2,8,3,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,2,8,4,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,2,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,7,3,8,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,7,8,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,8,1,4,6,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,7,8,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,7,2,8,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,8,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,1,8,5,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,2,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,4,5,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,3,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,3,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [4,5,3,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,5,3,7,2,8,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,3,4,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,6,4,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,1,4,8,3,5]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,3,6,7,8,1,2,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,3,6,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,6,7,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,7,1,3,8,4,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,1,7,8,2,4,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,6,7,8,3,1,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,2,7,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,1,6,4,7,8,5]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,7,4,2,1,5,8,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,3,4,2,5,8,6]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,2,1,3,5,8,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,7,1,8,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,7,8,1,5,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,7,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,2,6,7,8,4,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,7,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,1,3,8,5,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,5,2,3,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,6,3,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,7,4,5,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,2,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,6,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,8,5,4,2,1,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,6,2,4,1,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,6,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,6,5,1,4,7]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,6,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,8,7,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,8,2,7,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,7,2,1,4,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,6,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,8,2,1,3,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,2,8,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,6,8,4,1,5,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [4,6,2,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [5,6,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,8,3,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,7,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,7,8,5,6,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,4,3,8,2,1,5,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,2,5,4,8,1,6,7]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [1,5,8,3,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,2,1,3,8,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,6,1,4,8,7,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,7,1,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,7,2,1,8,3,6,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,8,7,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,2,1,7,6,3,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,1,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,2,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,1,6,2,4,8,7,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,5,2,4,8,7,6]=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,5,5,2]=>2 [4,5,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,6,1,2,3,8,7,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,5,3,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [6,4,1,7,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,1,8,2,3,5,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,7,5,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,4,1,6,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,6,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,1,2,8,3,6,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,7,2,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,2,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,4,3,8,7,5,6,2]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,2,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,1,8,2,7,4,6,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,8,7,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,1,7,6,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [4,7,1,6,2,3,5,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,8,1,6,2,3,5,7]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,7,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,2,7,3,6,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,8,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,7,1,2,3,4,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,6,1,2,3,4,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,8,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,5,1,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,6,2,2]=>2 [3,2,5,4,7,1,8,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,2,5,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,2,5,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,5,1,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,1,5,4,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,1,5,3,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,5,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,5,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,3,6,2,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,5,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,1,5,4,7,2,8,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [2,1,5,4,7,3,8,6]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2]=>2 [2,1,6,4,7,5,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,4,7,3,8,5]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,6,4,7,2,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,6,3,7,2,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,5,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,2,6,1,7,3,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,6,3,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,6,4,7,1,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,6,1,7,4,8,5]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,5,1,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2]=>2 [3,2,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,5,1,7,6,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,6,1,7,5,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,6,5,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,5,2,7,6,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,1,5,3,7,6,8,4]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,3,7,5,8,4]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,6,2,7,5,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,6,5,7,2,8,4]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,6,5,7,3,8,4]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,7,5,2,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,5,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,7,4,3,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,6,3,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,6,7,3,2,8,5]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,4,7,3,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,4,5,3,2,8,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,5,1,4,2,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,7,4,2,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,4,8,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,8,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,6,4,8,2,5]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,3,5,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,7,5,8,2,4]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,7,6,5,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,5,7,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,6,5,7,8,3,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,2,7,6,8,3,1,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,2,6,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,6,1,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [5,3,7,2,1,8,4,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,3,2,1,5,8,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,8,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,8,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,7,8,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,6,8,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,2,5,8,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,8,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,8,1,6,5,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,8,6,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,5,3,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,6,2,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,6,1,4,5,3,8,7]=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [6,1,2,4,5,3,8,7]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,3,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,3,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,1,6,4,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,8,7,4,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,8,4,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,7,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,8,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,8,4,7,6,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,5,8,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,8,3,6,7,5]=>[2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [3,1,8,2,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,8,1,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,8,2,1,5,6,7,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,1,3,5,6,7,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,8,3,4,6,7,5]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,8,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,7,3,8,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,8,4,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,4,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,6,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,3,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,3,2,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,7,6,4,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,7,6,5,8,3,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,4,1,5,6,7,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,8,5,6,7,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,5,3,8,6,7,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,8,7,4,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,3,8,1,2,7,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,4,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,5,1,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2]=>2 [3,6,2,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,5,2,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,2,6,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,4,2,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,3,5,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,6,1,5,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,1,6,4,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,4,3,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,3,7,6,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,7,5,8,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,8,5,7,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,5,8,7,3,6,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,8,7,3,6,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,6,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,2,6,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,2,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,3,7,8,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,2,5,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,8,1,7,5,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,2,3,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,6,4,5,1,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,5,2,3,8,4,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,7,5,2,8,3,4,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,8,5,2,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,6,2,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,6,3,1,5,7]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,8,6,4,1,5,7]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,1,6,4,8,5,7]=>[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,3,3,3]=>2 [1,8,5,2,7,3,4,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [5,8,7,2,1,3,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,6,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,5,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,2,8,3,1,5,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,2,5,4,1,8,6,7]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,5,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [6,4,2,1,3,8,5,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,4,2,8,7,3,5,6]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,5,8,2,7,3,4,6]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [6,5,1,2,3,8,4,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,6,2,1,3,8,5,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [3,2,6,1,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2]=>2 [3,2,7,1,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,7,2,1,8,3,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,8,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,2,1,7,3,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [5,1,8,2,7,3,4,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,7,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,5,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,5,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,6,1,5,4,3,8,7]=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [6,4,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,3,1,4,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,1,4,6,5,2,8,7]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,4,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,8,5,7,3,4,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,4,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,4,8,3,7,6,5]=>[2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [3,1,8,2,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,8,1,6,7,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,8,2,1,7,5,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,1,3,6,5,7,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,8,5,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,6,7,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,7,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,3,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,8,6,5,4,7,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,6,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,5,3,6,8,4]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,4,1,6,5,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,6,1,2,8,7,3,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,1,5,8,7,6,3]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,5,3,6,8,7,4]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,5,2,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,2,1,4,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,1,6,5,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,6,2,4,1,5,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [2,6,1,3,5,4,8,7]=>[3,6,1,4,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [2,1,6,7,4,8,5,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,7,4,3,6,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,8,7,4,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,6,3,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,4,1,6,3,7,5]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,8,1,2,7,6,3,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,4,2,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,5,3,8,7,6,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,4,1,8,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,1,2,3,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,4,3,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,6,2,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,2,8,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,7,8,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,8,4,6,3,7]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [6,5,3,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,8,3,5,6,1,7]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,8,3,6,5,2,7]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,8,1,7,2,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,8,2,4,7,6,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,8,1,4,6,7,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,3,8,2,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,4,8,3,5,7,6]=>[2,1,5,8,3,6,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [6,8,2,4,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,3,5,1,6,7]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,2,1,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,1,3,4,5,7,6]=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,4,1,6,5,3,7]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,4,1,6,5,7,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,7,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,7,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,2,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [2,8,5,3,4,1,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,5,3,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,7,6,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,5,3,6,1,7,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,5,6,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,3,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,3,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,2,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,2,8,3,1,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,6,2,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,7,2,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,5,2,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,1,2,3,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,2,3,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,2,3,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,2,3,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,2,3,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [6,5,8,2,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,2,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,6,7,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,8,3,6,2,7,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,4,8,6,2,7,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,1,6,7,8,3,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,6,5,7,3,2,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,5,2,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,2,3,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [6,4,1,2,5,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,8,1,5,7,3,6]=>[4,7,8,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [4,3,8,1,7,2,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,3,1,4,7,2,5,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,8,7,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,3,8,2,6,4,7,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [5,3,6,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,4,7,1,5,3,6,8]=>[4,6,7,1,5,2,3,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1]=>2 [1,3,7,6,4,2,8,5]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,1,7,5,6,8,4,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,7,2,8,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,8,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,6,8,2,4,7,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,5,3,1,4,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [5,2,8,1,4,7,3,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,7,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,8,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,6,3,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,7,1,4,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,2,3,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,6,2,4,7,8,3,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,2,4,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,4,2,8,5,3,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,7,2,6,5,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,2,1,5,6,3,7]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,7,8,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,8,7,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,4,7,8,2,6,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,2,7,1,6,3,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,1,2,5,3,7,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,6,5,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,6,8,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,5,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,6,4,2,5,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,1,8,6,2,3,5,7]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,7,6,5,3,4,8]=>[2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,2,2]=>3 [2,8,1,6,4,5,3,7]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,7,5,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,6,7,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,8,6,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,2,7,1,4,8,5]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,7,1,5,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,5,1,2,4,8,6]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,7,6,3,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,4,2,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,6,1,4,8,2,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,6,1,2,7,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,6,2,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,5,7,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,5,7,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,6,2,7,1,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,6,4,8,1,3,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [3,6,5,8,1,2,4,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [2,5,7,4,8,1,3,6]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,6,3,7,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,1,4,8,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,7,2,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,7,3,8,1,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,8,2,7,1,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,8,7,1,3,5,6]=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [4,3,8,7,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,8,7,1,2,4,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,8,7,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,8,7,1,2,4,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,5,8,7,1,3,4,6]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [4,6,8,2,7,1,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,1,8,6,2,3,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,6,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,7,6,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,7,6,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,3,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,7,8,5,3,6,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,8,4,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [2,3,4,6,7,8,9,1,5]=>[8,2,3,9,5,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[3]=>1 [2,3,5,6,7,8,9,1,4]=>[8,2,9,4,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>1 [2,4,5,6,7,8,9,1,3]=>[8,9,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [2,3,4,5,6,7,8,10,1,9]=>[9,2,3,4,5,6,7,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>3 [2,3,5,6,7,8,9,10,1,4]=>[9,2,10,4,5,6,7,8,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>1 [1,4,5,6,7,8,9,2,3]=>[1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [2,4,5,6,7,8,9,10,1,3]=>[9,10,3,4,5,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [6,3,2,5,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,5,3,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,6,3,2,8,4,5,7]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [5,7,3,1,2,8,4,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,2,3,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,2,6,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,8,6,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,7,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,7,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,8,6,1,7,2,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,5,7,2,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,8,3,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,7,5,8,2,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,3,8,2,4,5,6]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,2,5,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,2,7,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,1,5,8,4,6,7]=>[3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,4,3,3,3]=>2 [5,4,1,3,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,5,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,2,8,7,1,4,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,1,8,7,2,4,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,7,8,2,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,5,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,2,8,7,1,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,1,6,2,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,1,8,7,3,4,5,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,2,8,7,3,4,5,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,8,7,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,7,8,3,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,5,8,7,2,3,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [7,5,1,3,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,3,2,6,5,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,3,2,5,6,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,3,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,3,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,3,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,3,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [6,4,3,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,4,3,1,2,7,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,3,7,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,4,3,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,3,2,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,6,2,1,3,4,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,8,2,7,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,7,8,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,7,8,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,8,3,1,4,7,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,1,8,3,2,4,5,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,2,8,1,3,6,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,7,1,8,2,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,2,4,3,5,6,7]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,4,3,5,6,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,2,5,3,4,6,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,2,5,3,4,6,7]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,3,4,5,7]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,6,3,4,5,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,2,7,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,8,3,5,4,7]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,5,2,8,3,6,4,7]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,4,2,8,3,6,5,7]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,3,2,8,4,6,5,7]=>[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,4,2,7,3,6,5,8]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,3,1,1,1,1]=>2 [1,5,2,7,3,6,4,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,2,7,3,5,4,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,2,6,3,5,4,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,2,6,3,5,4,7]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,5,3,6,4,7]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,5,3,6,4,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,2,5,3,7,4,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,2,4,3,7,5,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,2,4,3,6,5,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,2,4,3,6,5,7]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,3,4,6,5,8]=>[1,7,3,4,5,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,2,4,3,7,5,6]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,4,3,8,5,6]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,4,3,8,5,7]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,6,2,5,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,7,2,5,3,8,4,6]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,5,3,7,4,6]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,6,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,8,4,7,5,6]=>[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,4,2,8,3,7,5,6]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,5,2,8,3,7,4,6]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,6,2,8,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,7,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,3,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,2,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,8,4,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,6,8,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,6,8,5,1,4,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [4,6,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,6,8,4,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,8,4,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,8,4,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,2,8,1,6,3,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,7,8,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,8,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,8,1,5,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,6,8,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,6,2,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,3,8,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,3,8,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,2,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,2,5,4,8,1,7,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,3,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,6,3,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [4,7,3,8,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,8,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,3,8,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,7,8,3,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,8,3,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,8,3,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,8,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [5,7,8,2,1,4,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,7,8,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,3,7,5,2,6,4,8]=>[1,5,7,6,2,4,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [2,8,5,4,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,4,5,6,1,7,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,6,5,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,5,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,3,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,3,7,5,2,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [6,3,2,8,5,1,4,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,7,5,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,1,7,5,2,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [1,6,5,7,3,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,2,7,4,6,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,3,4,8,6,1,7,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,7,3,5,8,6,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,4,6,2,7,3,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,2,4,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,1,5,8,4,7,3]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,2,4,1,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,2,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,5,4,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [7,2,1,4,3,6,5,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,4,1,2,6,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,3,2,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,3,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,3,2,5,4,7,6]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,5,2,3,7,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,3,5,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,6,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,6,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,5,4,3,2,7,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,1,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,8,1,5,4,7,6]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,4,8,5,1,3,7,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [2,5,8,4,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,8,4,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,7,4,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,5,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,8,6,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,8,6,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [3,2,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,8,6,5,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,6,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,6,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,2,1,4,3,8,7,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,4,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,6,3,2,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,4,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,4,8,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,4,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,4,5,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,5,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,2,1,6,8,7,3,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,6,1,8,7,2,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,6,8,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,5,8,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,5,7,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,7,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,8,1,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,4,8,7,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,8,7,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,8,7,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,6,2,7,5,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,6,8,4,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,2,6,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,2,7,6,8,4]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,3,1,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,4,1,6,7,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,5,1,6,8,4,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,6,1,7,5,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,3,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,5,1,2,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,6,1,5,8,3,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,3,5,1,7,6,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,6,7,1,5,8,2,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,2,1,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,6,2,5,8,3,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,5,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,8,2,5,7,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,3,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,1,3,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,4,1,3,7,6,8,5]=>[3,4,1,2,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [2,8,3,5,7,6,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,2,1,4,5,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,7,8,5,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,4,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,2,4,5,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,2,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,2,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,4,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,2,4,1,3,7,5,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,5,1,7,3,4,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,6,7,3,1,5,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,7,8,2,3,1,5,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,8,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,5,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [4,3,6,7,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,5,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,7,3,4,8,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,3,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,3,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,5,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,4,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,4,5,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,4,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,2,5,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,4,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,8,5,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,7,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,7,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,4,7,3,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,7,6,3,5,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,6,5,2,7,4,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,4,2,7,5,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,5,3,1,7,8,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,4,1,7,8,5,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,5,1,7,8,4,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,5,1,2,8,4,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,1,2,8,5,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,3,1,2,8,6,4,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,1,2,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [6,1,2,5,8,3,4,7]=>[7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,6,1,5,7,8,3,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,5,2,1,6,8,7,4]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,6,2,5,7,3,4,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,2,4,7,3,5,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,2,1,3,8,7,4,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,6,7,1,4,8,2,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,1,3,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,6,1,4,7,8,3,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [6,1,2,4,8,3,5,7]=>[7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,3,1,6,4,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,5,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,4,1,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,1,6,3,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,4,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,6,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,7,3,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,7,3,5,2,8,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,7,4,5,2,8,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,7,4,5,3,8,6]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,7,4,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,4,6,3,8,5]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,7,4,6,2,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,7,3,6,2,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,2,4,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,2,3,1,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,2,3,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,2,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,5,2,8,6,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,1,6,3,8,5,7,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,6,2,8,5,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,8,5,6,2,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,8,5,6,3,7,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,4,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,3,8,4,7,2,5,6]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,6,1,4,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,6,1,2,5,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,8,2,5,7,3,6]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,8,4,3,2,7,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,6,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,6,4,8,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,6,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,5,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,8,1,4,7,6,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,6,2,4,7,3,8,5]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,2,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,1,2,4,5,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,4,7,2,5,3,8,6]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,6,1,8,4,2,5,7]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [1,6,7,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,5,7,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,7,6,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,6,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,6,8,4,5,3,7]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,7,1,8,5,3,4,6]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,2,8,1,6,3,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,8,4,5,6,1,7]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,2,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,4,7,1,5,2,6,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,3,7,8,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,7,3,8,5,2,6,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,8,3,6,2,5,7]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,6,4,3,8,2,5,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [3,6,5,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,4,5,1,7,8,6,3]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,3,4,5,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,4,1,8,3,7,5]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,6,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,2,4,8,3,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,5,2,8,3,4,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,6,5,4,2,3,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [7,5,2,4,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,6,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,4,2,5,3,6,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,4,2,5,7,3,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,3,7,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [7,1,3,5,6,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,1,6,4,5,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,2,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,6,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,4,1,5,3,6,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,3,5,4,1,6,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,7,2,3,8,6,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,3,5,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,5,1,7,8,3,6,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,4,7,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,4,7,6,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,3,7,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,7,8,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,7,4,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,2,7,5,8,6,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,7,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,6,4,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,5,1,2,7,6,3,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,1,2,8,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,7,5,1,4,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,2,6,1,7,3,5,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,5,3,1,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,5,7,1,6,3,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,2,7,8,1,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,4,7,5,6,2,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,7,5,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,2,7,5,3,8,6,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,1,2,7,3,8,6,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [6,4,1,7,5,2,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,3,7,5,2,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,2,6,8,5,4,7]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [3,7,1,2,5,4,8,6]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,7,8,6,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,4,1,5,8,6,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,3,7,1,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [5,2,8,1,3,7,4,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,6,8,3,4,7,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,8,3,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,6,4,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,3,7,5,8,1,4]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,1,7,8,3,4,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,2,3,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,8,3,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,1,7,3,5,6]=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [4,8,3,1,7,2,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,3,8,1,2,6,4,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,4,1,6,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,8,4,2,7,3,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,2,8,5,3,7,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,6,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,3,7,2,8,4,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,2,4,6,7,1,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,6,8,2,7,1,4]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,5,6,8,1,7,3]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,7,3,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,7,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,3,7,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,4,7,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,8,7,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,8,7,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,8,1,7,6,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,8,7,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,8,7,1,6,3,5]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,8,4,7,1,5,3,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,4,7,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,7,2,6,3,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,8,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,2,7,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,8,7,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,2,7,6,4,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [2,8,3,1,7,5,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,3,8,1,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,8,2,1,7,5,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,2,8,7,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,7,1,2,4,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,8,7,2,6,3,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,1,7,2,5,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,2,7,5,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,8,2,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,2,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,1,8,3,7,6,4,5]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,1,3,7,5,4,6]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,8,2,3,7,5,4,6]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,3,7,6,4,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,4,3,6,8,2,5,7]=>[1,6,3,7,8,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,1,1,1,1]=>2 [3,1,6,2,5,8,4,7]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2]=>2 [3,5,1,8,2,4,7,6]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>1 [1,4,5,2,8,3,7,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,4,2,6,5,8,3,7]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [3,1,6,5,8,2,4,7]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [1,6,4,2,5,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,5,2,6,4,8,3,7]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,2,6,5,4,8,3,7]=>[1,2,7,5,4,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2,1]=>2 [1,2,5,4,7,3,8,6]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2,1]=>2 [4,1,2,6,3,8,7,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,4,7,5,2,8,3,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,4,5,2,8,7,3,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,4,2,8,3,7,6,5]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,2,5,3,8,7,6,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,6,5,3,7,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,2,8,6,3,7,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,2,8,7,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,4,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,6,3,8,4]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,7,5,3,8,4]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,6,5,3,8,4]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,5,3,8,7,4]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,2,6,3,8,7,4]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,7,6,3,8,4]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,2,7,3,8,4]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,4,2,8,3,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,1,2,8,6,3,7,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,8,6,2,4,7,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,3,7,1,8,2,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,7,3,2,4,6,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,8,7,3,6,5]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,4,8,5,2,7,3,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,8,6,4,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,2,6,3,7,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,7,3,8,6,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,5,3,7,6,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,3,8,7,5,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,6,3,8,5,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,2,7,3,8,5,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,5,3,6,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,2,8,6,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,3,2,6,4,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,7,5,3,6,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,6,3,7,5,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,3,8,6,5,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,7,1,6,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,1,5,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,5,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,5,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,1,8,2,3,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,8,1,6,2,4,3,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,5,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,3,4,1,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,3,8,6,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,8,6,7,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,8,5,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [7,3,5,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,6,8,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,6,5,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,4,1,8,5,7,3]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,3,8,5,7,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,6,8,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,6,1,8,3,4,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,6,1,4,3,5,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,3,8,6,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,8,6,7,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,4,1,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,8,6,1,7,3,4,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,3,8,1,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,8,1,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,8,6,1,4,3,5,7]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,8,2,3,4,5,6,9,7]=>[1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [7,1,2,3,4,5,6,9,8]=>[7,2,3,4,5,6,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [2,1,9,3,4,5,6,7,8]=>[2,1,9,4,5,6,7,8,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [2,8,1,3,4,5,6,7,9]=>[3,8,1,4,5,6,7,2,9]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,1,1,1,1]=>3 [2,10,1,3,4,5,6,7,8,9]=>[3,10,1,4,5,6,7,8,9,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,5,4,2,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,6,5,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,8,6,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,3,7,6,2,5,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,1,7,3,6,2,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,7,5,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,6,5,2,4,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,8,3,7,4,5,6]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,1,8,3,2,7,4,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,3,8,2,7,5,6]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,2,1,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,8,7,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,8,7,2,6,5,3,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,2,5,6,3,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,4,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,4,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [7,4,3,1,2,6,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,1,4,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,1,3,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,6,2,1,5,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,2,6,1,5,4,7,8]=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,2]=>2 [3,2,7,1,4,6,5,8]=>[4,2,7,1,5,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2]=>2 [5,7,1,3,2,6,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,1,2,4,5,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,1,3,2,4,7,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,2,1,3,5,7,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,8,1,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [6,1,2,3,5,4,7,8]=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [7,1,2,3,4,6,5,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,4,5,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,8,6,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,6,1,8,7,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,6,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,8,6,2,3,7,5]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,5,6,8,2,3,7,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,6,8,5,7,3]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,3,1,5,7,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,6,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,1,8,7,2,3,6,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,1,2,7,4,5,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,8,3,4,7,6,5]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,8,2,3,4,5,7,6]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,4,7,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,1,4,7,2,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,8,7,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,1,4,8,3,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,8,7,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,1,5,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,5,4,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,6,5,2,8,3,4,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [5,7,4,2,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,5,3,4,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [5,4,6,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,8,6,3,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,7,3,5,6,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,8,1,3,7,2,6,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,5,8,4,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,3,8,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,5,3,4,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,2,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,3,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,8,1,7,2,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,8,7,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,2,8,7,6,3,4,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,8,7,4,6,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,8,3,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,6,7,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,6,7,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,2,8,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,3,8,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,4,8,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,4,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,6,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,5,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,1,7,3,6,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,7,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,3,8,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,2,8,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,8,4,6,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,4,7,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,4,7,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,4,7,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,5,7,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,7,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,5,7,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,7,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,6,7,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,6,7,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,6,7,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,2,8,6,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,1,8,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,8,5,7,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,8,5,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,5,7,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,7,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,4,7,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,2,8,4,7,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,1,8,4,7,3,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,7,2,6,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,6,2,8,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,1,6,2,7,3,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,6,1,7,3,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,3,6,2,8,4,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,3,6,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,2,5,4,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,4,3,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [5,7,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,3,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,4,5,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,6,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,4,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,3,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,3,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,6,3,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,3,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,6,3,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,3,6,2,5,1,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,6,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,3,5,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,6,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,3,8,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,3,7,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,6,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,3,6,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,8,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,3,4,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,4,8,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,7,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,7,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,7,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,8,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,5,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,3,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,3,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,3,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,3,5,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,4,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,3,4,2,5,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,4,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,5,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,3,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,3,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,7,5,2,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,5,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,5,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,8,1,7,3,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,7,1,3,8,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,6,8,7,4,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,8,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,8,6,2,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,1,8,7,4,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,6,7,5,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,6,8,2,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,6,2,8,1,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,6,7,5,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,6,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,6,2,5,4,7,3,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,2,4,5,6,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [6,5,2,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,2,1,4,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,1,8,5,2,4,7]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [3,4,1,2,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,1,2,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [5,8,1,6,3,2,4,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,8,5,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,2,6,1,5,7,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,6,7,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,5,6,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,2,7,3,1,8,4,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,2,4,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,6,3,2,7,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,8,6,4,2,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,8,7,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,1,3,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,4,1,3,8,7,5,6]=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [2,5,8,3,1,7,4,6]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,8,1,3,6,4,7,5]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [6,8,2,3,4,1,5,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,8,3,2,4,6,7]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,7,6,5,4,3,1,2,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [1,6,2,4,8,5,3,7]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,6,2,4,7,5,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,3,8,5,2,4,6]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,4,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,3,4,6,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,4,3,5,6,7]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,4,2,3,5,6,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [6,8,4,1,3,2,5,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,7,4,3,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,8,2,4,7,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,8,1,2,7,4,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,8,3,2,6,4,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,3,1,2,6,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,4,2,6,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,8,2,4,6,3,7]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,8,4,2,7,3,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,3,1,6,7,2,4,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,6,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,7,4,5,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,4,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,1,4,2,7,5,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,3,2,4,5,6,7]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,5,1,8,2,4,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,5,2,8,7,3,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,7,5,4,2,8,3,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,4,8,2,7,3,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,6,8,2,7,3,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,4,7,6,2,8,3,5]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,1,4,7,2,8,3,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,7,4,5,2,8,3,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,5,1,2,8,4,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,7,2,8,1,3,4,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,8,7,1,3,4,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,5,8,2,7,3,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,6,2,8,7,3,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,1,2,6,4,8,7,5]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,1,7,6,3,4,8,5]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,2,7,4,6,8,5]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,4,7,2,6,8,3,5]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,1,4,2,7,8,3,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,4,2,7,6,8,3,5]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [3,1,2,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,1,2,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [5,3,7,1,8,2,4,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,4,3,2,5,8,6]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,7,2,1,3,5,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,7,3,4,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,7,8,2,6,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,4,2,7,8,3,6,5]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [5,2,8,1,3,4,7,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,8,6,3,4,7,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,4,2,6,8,3,7,5]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,4,2,7,3,8,6,5]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [3,1,7,2,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,1,7,8,3,4,6,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,7,8,4,2,5,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,8,3,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,7,8,3,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,3,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,4,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,4,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,3,7,2,1,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,6,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,3,2,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,3,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [3,5,4,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,3,2,1,8,5,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,6,3,7,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,4,7,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,4,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,3,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [6,4,3,2,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,5,4,2,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,2,6,4,8,5,1,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,5,8,4,6,1,7]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,2,4,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [4,5,2,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [4,2,5,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,2,5,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,5,4,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,1,5,3,8,2,6,7]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,3,8,5,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,3,5,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,3,2,7,5,1,6,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,6,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,6,7,1,3,2,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,5,1,7,3,2,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,5,1,3,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [3,5,1,4,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [2,5,1,4,3,7,8,6]=>[3,5,1,4,2,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1,1]=>2 [5,2,1,4,3,7,8,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,1,4,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [4,3,1,7,5,2,6,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,3,6,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,3,6,1,7,2,5,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [6,3,4,1,2,7,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,6,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,2,7,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,6,7,2,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,2,6,1,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2]=>2 [3,6,2,1,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [3,6,7,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,2,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,2,4,8,5,1,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,6,1,5,7,4,8]=>[4,2,7,1,5,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2]=>2 [3,6,2,1,5,7,4,8]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [6,4,2,1,5,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,2,1,7,5,3,6,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [7,4,1,5,6,2,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,1,5,2,6,4,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,5,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,5,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,6,5,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,1,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,4,1,5,3,8,7,6]=>[3,5,1,4,2,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1,1]=>2 [3,4,5,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,5,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,8,4,5,3,2,7,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,5,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,5,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,4,5,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,5,6,2,7,1,8,4]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,6,2,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,6,2,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,6,8,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,6,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,4,6,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,6,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,6,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,5,6,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,6,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,8,6,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,6,8,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,6,1,8,7,2,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,1,6,8,7,3,5]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,3,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,5,1,6,7,8,4,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,1,6,7,4,8,3]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,5,6,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,8,6,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,4,6,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,6,7,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,8,6,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,6,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,8,6,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,5,6,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,6,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,2,4,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,5,6,1,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,2,5,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,5,7,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,5,8,3,2,4,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,8,2,4,7,1,5,6]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,8,2,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,5,6,8,2,4]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,5,8,2,4,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,3,2,4,6,1,5,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,5,1,7,4,6,8]=>[4,2,6,1,7,3,5,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,2]=>2 [3,2,5,1,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2]=>2 [3,2,5,1,7,8,4,6]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2]=>2 [3,2,5,1,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2]=>2 [3,2,5,1,6,4,7,8]=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,2]=>2 [3,2,4,1,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,5,1,6,8,7,4]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,5,1,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,4,1,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,4,1,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [3,2,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,5,1,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2]=>2 [3,2,5,1,6,7,4,8]=>[4,2,7,1,5,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2]=>2 [6,5,1,7,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,1,8,4,2,3,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [7,5,1,6,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,5,1,8,6,4,7]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2]=>2 [3,2,5,1,8,6,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,4,1,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,2,5,1,7,8,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,5,1,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,2,6,1,7,5,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,7,4,1,6,8,3]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,4,6,1,7,3,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [3,2,5,8,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,5,4,6,8,1,7,3]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,1,7,5,8,6,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,1,7,5,3,8,6]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,6,4,1,8,5,3,7]=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [5,4,8,2,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,8,4,1,6,3,7]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [3,2,5,6,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [4,8,3,2,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,2,8,1,6,4,7]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [3,2,1,6,8,5,4,7]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [3,2,7,1,5,4,8,6]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,7,1,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,8,2,5,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,3,2,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,2,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,2,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,2,6,7,1,5,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,3,7,2,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,7,8,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,7,4,8,1,6,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,5,7,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,5,7,1,6,4,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [6,3,2,7,1,5,4,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,7,5,3,8,6,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,5,2,1,7,4,6,8]=>[4,6,3,1,7,2,5,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1]=>2 [3,5,2,1,7,8,4,6]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [5,8,4,2,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,2,1,8,3,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,1,7,3,8,6,5]=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1]=>2 [3,2,7,1,4,8,6,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,5,8,2,1,7,4,6]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [4,8,3,7,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,3,7,2,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,3,2,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,2,8,1,7,4,6]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [5,3,2,1,8,4,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,8,3,2,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10]=>5 [9,8,7,5,6,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,7,5,4,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,7,4,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,9,8,6,5,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,9,8,5,7,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,8,6,7,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1]=>5 [6,2,3,1,5,4,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,2,5,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,1,5,2,4,3,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,1,5,3,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,5,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,8,4,5,3,7,6]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,4,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,3,7,4,6,5]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,2,3,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,1,3,2,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,1,8,6,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,3,7,5,6,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,7,3,6,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,4,8,3,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,5,8,7,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,4,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,1,8,4,5,7,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,4,6,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,7,8,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,3,7,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,2,7,8,5,4,6,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,2,1,3,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [6,2,8,5,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,3,5,4,1,6,7]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,4,5,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,4,8,5,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,1,2,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,2,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [1,7,5,8,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,5,4,3,2,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,6,8,5,1,3,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,6,8,1,4,3,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,3,6,5,1,7]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,4,1,5,6,3,7]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,1,8,3,5,6,2,7]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,6,8,4,1,3,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,8,1,5,3,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,8,4,5,3,2,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,3,8,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,7,4,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,5,4,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,5,8,4,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,3,2,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [6,4,8,2,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,4,3,5,1,6,7]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,3,4,5,1,6,7]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,2,8,4,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,3,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,1,3,2,4,8,6,7]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,8,1,5,3,4,7,6]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,2,8,4,5,3,7,6]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,4,2,8,5,3,6,7]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,8,4,2,5,3,6,7]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,5,2,4,6,7]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,1,4,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,5,2,8,4,3,6,7]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,2,8,5,4,3,6,7]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,8,5,3,7,6]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [1,2,7,4,8,5,3,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,1,2,7,4,8,3,6]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,1,5,4,7,3,6]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,2,8,5,7,4,3,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,8,7,5,3,6]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [2,8,1,4,3,7,6,5]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,6,4,8,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,7,2,8,4,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,8,1,5,2,4,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,2,8,4,5,3,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,3,5,8,4,6]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,5,8,3,4,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,8,1,3,7,2,4,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,5,8,7,3,4,6]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,2,5,8,3,7,4,6]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [2,8,1,7,3,5,4,6]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,2,8,1,7,3,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,8,1,7,4,3,6,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,2,8,4,7,5,3,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,7,4,5,3,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,8,1,7,5,3,4,6]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,8,6,1,4,7,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,4,8,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,8,7,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,8,1,7,6,3,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,1,7,6,4,3,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,4,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,4,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,3,4,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,7,3,4,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,2,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,2,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,2,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,3,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,3,5,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,5,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,5,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,2,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,2,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,6,2,4,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,2,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,2,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,1,8,3,7,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,1,7,3,8,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,6,2,7,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,2,8,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,1,7,3,6,2,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,8,3,6,2,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,5,3,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,6,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,8,7,4,3,6,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,6,8,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,8,3,6,1,2,7,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,7,4,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,2,5,6,7,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,7,4,5,1,3,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,8,4,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,5,8,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,4,8,1,5,6,7,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,6,8,10,1,3,5,7,9]=>[6,7,8,9,10,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,2,1]=>1 [5,7,8,9,10,1,2,3,4,6]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [1,5,7,3,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,4,7,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,3,1,7,6,5,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,2,1,7,6,5,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,4,2,7,8,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,2,8,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,7,1,8,6,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,7,8,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,5,7,8,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,8,1,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,3,8,2,7,6,5,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,2,8,3,7,6,5,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,1,8,3,7,6,5,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,8,1,2,7,6,5,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,1,3,7,6,5,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,8,2,3,7,6,5,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,1,5,8,2,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,1,5,8,3,6,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,5,1,8,3,7,4]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,6,5,1,8,2,7,4]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,6,1,8,2,7,4]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,1,8,3,7,4]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,6,1,3,8,7,5]=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [3,4,6,1,2,8,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,3,6,1,2,8,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,2,6,1,3,8,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,3,6,1,4,8,7,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,2,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,6,3,1,2,8,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,4,1,2,8,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,1,3,8,7,5]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,4,3,8,6,5]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,7,1,4,2,8,6,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,7,1,3,2,8,6,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,7,1,2,3,8,6,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,2,4,8,6,5]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,3,1,4,8,7,5]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,6,2,1,4,8,7,5]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,4,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,5,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,4,3,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [2,4,3,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,4,6,3,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,4,6,3,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,4,6,3,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [2,4,1,6,5,3,8,7]=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [2,4,6,1,5,3,8,7]=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [4,2,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,6,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,6,5,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,6,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,4,6,1,5,8,3,7]=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>2 [2,4,1,6,5,8,3,7]=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1]=>2 [2,1,4,6,5,8,3,7]=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [2,4,1,6,5,8,7,3]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,6,1,5,8,7,3]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,4,3,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,6,8,1,5,7,3]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,6,1,8,5,7,3]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,6,8,5,7,3]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,4,6,8,5,7,3]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,6,8,5,3,7]=>[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,4,1,6,8,5,3,7]=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>2 [2,4,6,1,8,5,3,7]=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [2,4,6,8,1,5,3,7]=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [4,2,6,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,6,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,6,8,3,5,1,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,6,8,3,1,5,7]=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [2,4,6,3,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [2,4,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [2,4,6,3,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,4,3,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,4,3,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [2,4,3,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,3,3]=>2 [2,4,3,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [2,4,1,3,6,8,7,5]=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [2,4,3,6,1,8,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,4,3,6,8,1,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,4,6,3,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,6,3,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,4,1,6,3,8,7,5]=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1]=>2 [2,1,4,6,3,8,7,5]=>[2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [2,1,4,6,8,3,7,5]=>[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [2,4,1,6,8,3,7,5]=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,4,6,1,8,3,7,5]=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [2,4,6,8,1,3,7,5]=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [2,4,6,8,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,4,8,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,1,8,7,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,4,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,6,4,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,4,8,7,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,1,4,8,7,3,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,4,1,8,7,3,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,4,8,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,4,7,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,4,5,8,2,6]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,6,3,4,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,7,4,5,8,3,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,1,4,7,3,8,2,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,1,7,5,8,2,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,6,3,7,1,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,2,1,7,3,4,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,2,1,8,3,4,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,2,4,8,3,6,7]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,3,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,1,4,5,8,3,7]=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1]=>2 [6,5,1,3,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,6,2,4,8,3,5,7]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,5,3,2,8,4,6,7]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [6,4,2,1,5,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,5,3,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,3,5,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,6,4,8,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,4,8,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,8,3,6,1,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,3,2,8,7,1,5,6]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,2,4,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,4,8,7,2,3,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,2,5,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,2,5,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,1,5,4,8,6]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,2,1,5,4,7,6]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,2,1,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,2,1,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,2,7,1,4,6,8,5]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,8,1,4,6,7,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,8,1,4,7,6,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,8,2,1,4,7,5,6]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,2,1,5,7,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,8,2,5,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,2,5,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,2,1,5,8,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,2,1,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,2,1,7,5,8,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,7,1,6,8,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,2,7,6,1,8,3,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,7,6,8,1,2,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,8,6,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,8,6,1,7,3,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,8,1,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,1,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,8,2,1,7,4,5,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,2,8,1,7,4,6,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,8,1,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,7,1,6,4,8,5]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,2,7,6,1,3,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,8,6,1,3,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,8,7,1,3,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,7,8,3,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,7,8,1,3,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,6,8,1,3,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,6,7,1,3,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,6,1,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,7,2,1,8,4,5,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,2,1,8,5,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,7,3,8,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,7,8,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,1,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,1,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,6,1,8,7,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,2,6,8,1,7,3,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,6,8,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,6,7,1,8,3,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,6,1,7,8,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,4,6,2,7,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,8,5,4,2,6,7]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,2,7,5,4,8,6,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,2,5,4,8,7,3]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,5,7,3,6,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,6,1,8,2,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,8,5,4,1,6,7]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,1,5,2,3,7,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,5,1,6,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,1,6,4,3,2,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,5,7,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,8,6,4,3,2,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,4,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,1,5,7,3,8,4]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,8,7,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,6,1,7,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,7,6,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,7,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,7,5,6,3,8,4]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,6,7,5,8,2,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,1,5,4,6,7,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,2,8,5,6,3,7,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,3,6,1,5,7,2,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,6,8,5,7,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,4,6,3,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,3,6,4,8,7,2,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,1,6,7,3,8,2,5]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,6,1,3,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,1,5,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,1,7,5,2,3,8,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,2,4,5,8,3,7,6]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2,1]=>2 [2,8,3,5,4,1,7,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,6,3,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,6,4,7,8,2,5]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,5,7,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,8,7,4,3,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,1,8,4,3,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,5,7,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,7,1,4,3,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,7,8,4,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,4,7,5,1,3,8,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [3,5,6,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,4,5,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [6,8,5,1,4,3,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,6,5,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,5,3,6,7,8,9,4]=>[1,2,9,4,5,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,4,2,5,6,7,8,9,3]=>[1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [3,4,6,2,7,1,5,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [3,6,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,3,6,2,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [6,2,4,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,2,8,5,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,6,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,7,4,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,3,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,6,1,7,5,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [1,7,5,4,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,3,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,4,1,6,7,3,8]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [5,6,3,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,1,7,8,5,3,6]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,5,4,1,6,3,8,7]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [5,6,3,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,5,2,1,6,4,7,8]=>[4,6,3,1,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1]=>2 [6,8,4,3,2,1,5,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,8,2,1,6,4,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,5,8,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,7,3,2,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,5,7,8,6,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,6,7,2,8,1,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,4,1,3,7,8,6]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1]=>2 [2,5,8,4,1,3,7,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [2,4,1,7,8,3,6,5]=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [3,7,2,8,6,1,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,8,2,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,3,8,2,1,4,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,7,3,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,8,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,8,9,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [8,9,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,6,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [6,8,7,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,8,7,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,7,9,8,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,9,10,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [5,4,1,6,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,1,6,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,7,6,5,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,6,5,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,6,5,1,4,8,7]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [2,3,6,4,1,5,8,7]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [2,3,6,1,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,6,2,2]=>2 [2,7,6,1,4,8,5,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,6,1,4,8,3,5]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,6,1,5,8,4,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,6,4,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,7,6,3,8,5,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,6,3,8,4,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,6,4,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,3,5,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,4,8,5,7,1,6]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,1,4,5,8,7,3,6]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,7,6,5,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,1,5,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,1,4,5,8,6,3,7]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,3,4,8,5,6,1,7]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,3,4,8,7,1,6,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,3,4,8,1,7,6,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,4,8,1,6,7,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,4,8,5,1,7,6]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,1,4,5,8,3,7,6]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2]=>2 [6,3,5,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,4,8,5,1,6,7]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,3,4,8,1,6,5,7]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,4,8,1,5,7,6]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,8,6,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,6,7,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,5,7,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,1,7,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,8,2,7,5,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,7,4,6,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,7,4,6,3,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,4,7,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,2,7,1,6,3,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,1,7,2,6,3,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,4,7,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,7,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,7,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,7,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,7,4,6,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,3,7,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,7,2,6,4,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,7,2,6,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,2,7,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,2,7,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,2,7,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,7,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,7,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,7,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,7,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,1,7,3,6,4,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,7,4,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,2,4,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,3,1,4,8,5,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,3,7,8,1,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,5,4,7,8,2,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,3,1,4,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,2,4,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,2,3,6,1,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,2,3,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,7,8,3,6,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,8,1,3,6,7,2,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,8,2,4,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,3,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,5,7,4,2,6,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,1,4,2,6,3,7]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,5,3,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,3,1,6,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,2,6,4,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,7,2,6,3,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,6,1,2,8,7,4]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,7,1,8,6,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,2,7,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,7,2,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,5,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,6,2,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [3,5,2,6,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,5,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,1,6,5,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,6,5,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,6,8,4,3,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,7,1,8,4,3,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,1,5,4,3,8,6]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,6,1,4,3,8,5]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,6,5,1,8,2,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [8,1,2,3,4,5,6,7,9]=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,9,2,3,4,5,6,7,8]=>[1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [9,1,2,3,4,5,6,7,8,10]=>[9,2,3,4,5,6,7,8,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [1,8,9,2,3,4,5,6,7]=>[1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,2,3,4,5,6,7,8,9]=>[1,10,3,4,5,6,7,8,9,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,9,10,2,3,4,5,6,7,8]=>[1,10,9,4,5,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,6,2,4,7,8,5,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,2,4,8,1,5,7]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [3,4,7,2,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,7,2,5,8,6,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,4,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,2,7,3,6,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,4,8,2,5,7]=>[1,6,7,4,8,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1,1,1,1]=>2 [6,5,1,3,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,8,5,3,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,6,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,8,6,4,1,3,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [1,4,6,2,5,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [3,6,2,5,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,8,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,3,6,5,7,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,3,8,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,4,1,7,5,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,6,4,3,7,2,8,5]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,3,4,8,7,1,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,3,5,4,2,7,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,6,3,8,2,7,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,6,4,7,8,1,5]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,5,7,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,7,4,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,8,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,7,5,3,8,2,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,4,6,7,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,4,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,5,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,8,4,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,5,4,3,1,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,5,8,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,5,7,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,8,2,5,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,1,5,6,3,7,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,8,2,5,7,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,8,6,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,6,5,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,5,7,6,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,8,6,5,7,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,2,1,3,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,1,2,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,5,8,6,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,5,6,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,5,4,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,4,1,5,6,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,6,4,5,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,6,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,6,5,7,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,7,2,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [1,4,7,2,5,8,3,6]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,6,2,4,7,1,5,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [1,2,7,6,5,8,3,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,8,2,6,1,5,3,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,8,6,4,1,5,7]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,6,2,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,1,6,2,5,7,3,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,8,6,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,6,4,7,2,5,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [2,4,7,5,1,8,3,6]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [6,5,7,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,8,1,3,2,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,5,1,3,4,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,4,5,1,7,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,2,4,3,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,2,8,3,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,3,7,4,8,2,5,6]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,3,7,4,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,7,3,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,7,1,6,5,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [1,2,7,8,5,4,3,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [6,3,1,2,8,4,5,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,8,1,4,5,6,3,7]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,2,6,1,8,5,3,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,6,1,5,7,4,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,6,1,7,4,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,6,4,7,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,4,6,8,2,5]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,6,5,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,6,8,3,4,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,1,7,5,6,8,3,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,8,4,1,7,2,6,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,7,1,8,3,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,4,1,8,5,2,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,1,8,4,5,3,6]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [6,5,1,4,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,6,2,5,8,3,4,7]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,5,4,2,8,3,6,7]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [6,4,3,1,5,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,7,6,8,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,6,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,7,5,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,1,8,7,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,8,5,7,6,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,1,6,3,5,8,7]=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [6,2,1,4,3,5,8,7]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,2,1,4,3,8,5,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,2,4,1,3,8,5,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,2,4,1,3,5,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,6,1,3,5,8,7]=>[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [2,6,1,4,3,5,8,7]=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [2,6,4,1,3,5,8,7]=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [4,6,2,1,3,5,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [6,4,2,1,3,5,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,2,1,8,3,5,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,6,2,1,8,3,5,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [2,6,1,4,3,8,5,7]=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1]=>2 [2,1,6,4,3,8,5,7]=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [2,1,8,4,3,6,5,7]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,1,4,3,6,5,7]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,4,1,3,6,5,7]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,8,2,1,3,6,5,7]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,2,1,6,3,5,7]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,8,2,1,4,3,5,7]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,1,4,6,3,5,7]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,8,4,6,3,5,7]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,4,8,3,5,7]=>[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,6,1,4,8,3,5,7]=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>2 [2,6,4,1,8,3,5,7]=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [2,6,4,8,1,3,5,7]=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [4,6,2,8,1,3,5,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [4,2,6,1,3,8,5,7]=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [4,2,6,1,8,3,5,7]=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [6,2,4,1,8,3,5,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,2,1,4,8,3,5,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,1,6,8,3,5,7]=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [4,2,1,6,3,8,5,7]=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,3,3]=>2 [4,2,1,3,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [2,4,1,3,8,6,5,7]=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [4,2,1,3,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,1,8,3,6,5,7]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,2,1,8,6,3,5,7]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [6,2,1,8,4,3,5,7]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,2,8,1,4,3,5,7]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,8,1,6,3,5,7]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,8,1,3,6,5,7]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,4,8,1,3,6,5,7]=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [2,4,1,8,3,6,5,7]=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1]=>2 [2,1,4,8,3,6,5,7]=>[2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [2,1,4,8,6,3,5,7]=>[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [2,4,8,1,6,3,5,7]=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [2,4,8,6,1,3,5,7]=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [4,2,8,6,1,3,5,7]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,2,8,4,1,3,5,7]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,8,2,1,3,5,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,8,2,1,3,5,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,6,8,4,1,3,5,7]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,6,8,1,4,3,5,7]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [2,6,1,8,4,3,5,7]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,1,6,8,4,3,5,7]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,1,8,6,4,3,5,7]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,1,6,4,3,5,7]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,6,4,1,3,5,7]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,6,2,1,3,5,7]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,8,4,2,1,3,5,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,6,1,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,6,2,2]=>2 [5,2,4,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [6,2,4,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,6,1,5,2,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,5,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,3,8,2,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,8,1,7,2,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,8,1,5,2,7,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,1,8,3,4,2,7,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,4,8,1,3,2,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,5,4,8,3,7,6]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2]=>2 [2,1,8,4,6,3,7,5]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,2,8,4,6,1,7,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,8,1,5,4,7,6]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,7,6,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,7,1,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,6,5,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,7,3,8,5,6,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,5,8,3,7,4]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,3,1,5,4,6,7]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,3,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,2,5,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,2,1,8,5,3,6,7]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,4,1,3,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,5,8,4,3,2,6,7]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,8,5,4,3,2,6,7]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,3,8,5,2,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,8,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,1,4,7,8,3,2,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,6,8,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,6,3,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,2,1,7,8,5,3,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,4,6,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,7,3,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,1,8,3,5,4,6]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,7,3,5,8,4,6]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,2,8,7,4,5,6,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,5,2,6,7,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,5,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,5,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,3,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,5,1,4,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,8,4,6,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,5,7,4,3,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,8,3,7,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,6,4,1,7,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,2,5,7,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,7,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,6,7,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,5,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,6,7,5,8,3,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,7,3,6,8,4]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,4,7,1,6,5,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,2,7,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,2,7,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,2,7,6,5,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,7,3,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,3,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,3,4,2,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,6,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,5,7,3,2,8,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,4,6,7,3,8,2,5]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,2,1,5,7,4,8,6]=>[3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,4,3,3,3]=>2 [2,4,6,7,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,6,7,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,6,7,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,5,6,7,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,4,1,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,3,6,2,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,6,2,7,8,5,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,4,6,7,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,5,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,2,1,6,7,8,3,5]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,6,1,7,8,2,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,6,7,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,6,1,7,8,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,4,6,7,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,6,7,8,1,4,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,1,2,3,4,5,6,8,9]=>[7,2,3,4,5,6,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [1,4,3,7,2,5,6,8]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,3,1,1,1,1]=>2 [1,4,3,7,6,8,2,5]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,4,3,7,5,8,2,6]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,4,3,7,2,6,5,8]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,3,1,1,1,1]=>2 [6,1,3,8,5,2,4,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,1,2,8,3,5,4,7]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,5,2,3,8,4,7,6]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [5,1,2,3,8,4,7,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,2,3,8,1,4,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [6,2,8,1,3,5,4,7]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,3,1,4,2,8,5,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,1,6,4,2,8,5,7]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [2,6,3,8,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,8,5,1,4,7]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [2,5,1,8,3,4,7,6]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [1,2,5,3,8,4,7,6]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2,1]=>2 [1,2,4,8,3,7,6,5]=>[1,2,5,8,3,7,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [2,4,8,1,3,7,6,5]=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [2,4,8,3,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,8,3,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,3,8,1,7,4,6]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [2,5,4,1,3,8,7,6]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1]=>2 [3,1,5,4,8,2,7,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,3,1,4,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,2,3,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,2,3,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,3,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,2,3,7,6,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,8,2,3,7,6,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,4,8,3,7,2,6,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [6,3,8,1,5,2,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,8,1,2,4,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,5,3,8,2,4,7,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,5,4,8,2,7,6,3]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,1,6,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,4,2,5,8,7,6,3]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,2,8,7,4,6]=>[1,4,7,2,8,6,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,1,1,1]=>2 [3,5,1,2,8,7,4,6]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [3,6,2,8,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,6,1,8,7,3,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,2,8,7,1,4,6]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [3,4,8,7,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,8,7,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,8,1,7,2,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,3,4,8,7,2,6,5]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,3,4,8,2,7,6,5]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [3,4,8,1,2,7,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,4,8,2,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,8,2,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,5,1,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [6,4,1,2,7,3,5,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,7,5,4,1,8,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,3,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,2,1,5,4,7,3,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,6,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,7,1,8,3,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,6,7,4,8,1,5]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,6,5,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,5,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,6,5,2,4,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,5,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,7,1,4,8,3,5,6]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,1,6,2,4,8,3,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,7,6,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,6,5,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,5,3,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,2,6,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,7,2,4,8,3,6,5]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,4,2,8,3,5,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,8,2,6,3,5,7]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,1,6,2,3,8,5]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,2,6,8,3,5,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,7,4,8,5,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,1,6,7,4,2,8,5]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,8,5,4,6,1,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,1,2,5,3,8,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,6,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,6,5,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,6,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,6,5,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,1,6,8,4,2,5,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [2,7,6,5,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,5,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,1,7,3,5,8,6]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,7,2,5,3,1,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,4,1,3,8,6]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,5,2,1,8,4,3,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,6,3,2,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [5,7,4,3,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,6,2,4,8,3,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,3,6,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,6,2,3,7,5,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,3,2,7,5,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,7,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,7,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,6,1,7,2,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,6,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,5,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,6,5,8,4,1,3,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [6,5,4,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,2,5,8,1,4,3,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,6,8,2,1,5,7]=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [6,3,5,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,2,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,1,6,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,8,7,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,3,8,7,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,7,6,1,3,5]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,5,8,7,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,6,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,7,8,1,2,3,4,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [6,7,3,4,8,1,2,5,9]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [6,4,7,2,5,1,3,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [7,8,5,6,3,4,1,2,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [7,5,3,8,2,6,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [5,6,7,8,1,2,3,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,8]=>4 [7,8,9,4,5,6,1,2,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,8,5,6,3,4,1,2,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,8]=>4 [7,5,3,8,2,6,1,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,8]=>4 [8,6,9,4,7,2,5,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,6,4,3,9,2,7,1,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,8]=>4 [3,6,5,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [3,7,5,8,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,5,7,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,7,8,4,3,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,2,6,4,3,8,7]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,1,2,5,4,3,8,7]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,1,2,4,6,3,8,7]=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,1,2,6,5,3,8,7]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,1,5,7,8,3,2,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,5,8,7,3,2,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,1,8,3,6,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,7,8,5,2,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,7,4,8,2,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,5,8,7,3,4,6]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [5,1,8,4,7,2,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,8,7,5,2,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,1,6,3,2,8,5]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,7,3,4,8,6,5]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,8,7,1,4,2,6,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,1,4,2,6,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,8,1,4,2,7,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,7,8,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,7,1,4,2,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,3,7,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,7,3,4,6,8,5]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,3,4,8,7,5]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,4,8,2,7,3,5,6]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,2,8,5,4,7,3,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,8,5,4,2,7,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,3,6,8,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,6,8,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,1,7,3,6,5]=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [1,2,6,8,4,5,7,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [7,5,1,2,4,3,6,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,6,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,4,2,6,3,5,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,4,2,8,3,5,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [7,1,3,6,5,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,1,6,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,3,6,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,2,3,6,5,4,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,2,3,8,5,4,7]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,5,8,2,7,6,3,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,4,1,2,8,5,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [2,1,6,3,8,5,4,7]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,5,1,8,7,6,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,2,5,3,8,7,4,6]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [2,4,8,7,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,3,8,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,8,4,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,8,7,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,3,8,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,6,3,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,2,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,1,2,4,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,8,1,7,2,3,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,1,8,7,2,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,3,6,1,2,8,5,7]=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [4,5,8,3,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,2,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,5,8,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,8,7,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,7,5,8,6,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,7,8,1,2,6,5,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,7,8,2,6,5,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,3,7,8,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,7,8,1,3,6,5,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,1,6,7,3,5,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,8,3,7,1,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,6,4,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,8,3,7,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,1,6,7,5,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,8,3,7,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,5,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,3,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,4,5,7,1,6,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,2,8,5,4,7,6]=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [4,2,8,5,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,1,8,4,3,7,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,3,4,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,5,4,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,3,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,6,3,2,7,8,5]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,6,4,2,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,7,3,2,6,5,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [6,7,3,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,3,2,1,5,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,5,7,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,4,6,8,7,3,5]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [3,4,6,8,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,1,6,8,7,2,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,1,8,6,7,3,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,3,2,8,6,7,4,5]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [2,3,8,6,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,8,7,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,7,6,1,5,4,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [3,7,6,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,6,5,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,1,7,2,4,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,1,4,2,3,8,6,7]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [1,4,2,7,6,3,5,8]=>[1,6,3,7,5,2,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,1,1,1,1]=>2 [3,1,2,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,1,2,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [7,5,6,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,1,4,2,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,1,2,6,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,3,2,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,5,8,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,6,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,5,4,8,6,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,5,8,2,4,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,5,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,2,5,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,1,6,8,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,2,5,8,3,6,7,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,5,8,2,4,7,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,2,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,4,3,8,2,6,7,5]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [5,4,8,3,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,4,3,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,6,2,7,5,1,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,3,2,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [4,1,7,3,2,5,8,6]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,3,1,7,8,2,6,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,5,1,2,7,8,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,8,3,1,7,2,6,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,4,3,5,2,7,6]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,7,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,3,4,2,8,7,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,6,2,7,5,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,2,8,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,2,7,4,8,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [6,3,2,1,8,5,4,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,5,3,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,6,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,5,3,1,6,4,7]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,7,3,8,5,4,6]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,6,2,3,7,8,5,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,2,8,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,1,7,8,6,3,5]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [4,2,1,7,3,8,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [6,2,8,4,3,1,5,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,8,7,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [7,6,3,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,8,1,7,5,3,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,1,7,5,4,3,6]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,1,8,6,4,3,7]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [5,7,2,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,8,6,5,4,3,7]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,2,7,5,4,3,8,6]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,2,4,3,8,6,5]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,3,6,5,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,4,3,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,6,3,2,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,3,7,2,5,8,6]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,8,7,2,5,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,1,8,7,5,2,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,8,6,3,5,2,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [7,4,6,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,5,6,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [3,5,4,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,4,8,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,2,6,8,4,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [3,6,5,2,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [3,6,5,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [4,2,6,7,3,5,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,2,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,2,4,1,8,5,7]=>[5,7,3,4,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [3,8,7,2,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,2,7,1,5,4,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,8,2,1,5,4,7]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,4,8,1,6,5,3,7]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [4,2,8,1,5,7,3,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,2,8,7,3,5,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,4,6,7,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,4,7,1,3,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,5,8,6,4,3,7]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [7,2,5,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,5,7,8,4,3,6]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,2,7,4,8,6,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,3,6,5,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,7,6,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,4,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,6,4,2,3,5,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,1,4,5,8,3,6]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [7,1,6,4,5,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,6,5,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,1,7,4,3,6,8]=>[3,6,1,7,5,2,4,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,1,1]=>2 [2,5,1,4,7,8,6,3]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,5,1,4,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,6,2,4,7,8,1,5]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,4,2,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,7,2,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,8,1,3,5,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,8,1,2,7,5,6]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,8,3,1,5,6,4,7]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,7,1,5,4,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,1,7,6,8,2,5]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,7,4,1,6,2,8,5]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,8,1,2,3,6,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,6,1,5,3,7,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,4,3,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [7,2,3,4,1,6,5,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,8,3,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,5,2,7,1,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,5,2,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,5,3,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,5,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,6,4,7,2,5,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,8,2,4,3,7,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,4,3,7,8,5]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,2,4,7,3,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,6,2,4,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,2,4,7,3,6]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,7,2,4,8,3,6]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,5,7,2,4,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,7,2,4,3,8,5]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,2,4,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,2,4,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,2,4,6,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,3,2,4,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,8,3,2,4,6,7]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,5,6,2,4,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,7,6,2,8,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,4,2,8,6,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,4,3,8,7,5]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,2,4,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,7,3,2,4,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,5,2,3,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,2,8,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,5,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,5,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,8,4,3,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,6,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,6,2,4,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,3,2,4,7,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,6,5,2,3,7,4,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,5,2,3,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,4,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,6,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,5,2,8,4,6]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,5,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,2,3,7,8,5]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,2,3,7,5,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,2,4,8,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,7,3,4,2,8,5,6]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,2,8,5,3,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,4,2,3,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,2,3,8,5,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,7,6,4,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,8,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,2,3,8,7,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,1,4,2,8,5,7]=>[5,7,3,4,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [1,6,7,4,3,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,4,3,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,1,3,8,2,5,6]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,6,4,2,8,5,7]=>[1,5,7,4,2,8,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,2,1,1,1,1]=>2 [4,7,3,1,2,8,5,6]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,6,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,1,3,7,2,5,6]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,3,4,7,6,1,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,4,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,4,6,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,3,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,7,3,8,2,5,6]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,5,3,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,7,5,4,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,4,3,8,2,5,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,7,3,8,2,5,6]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,3,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,2,3,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,7,5,6,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,3,8,5,6,1,7]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,7,8,4,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,4,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,3,8,5,6,1,7]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,8,3,6,2,5,7]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,5,3,8,7,6,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,5,8,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,6,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,7,3,6,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,7,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,6,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,7,5,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,8,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,8,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,5,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,5,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,6,5,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,7,6,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,8,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,7,6,8,4,5]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,7,6,8,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,7,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,3,8,7,4,5]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,3,2,8,6,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,6,2,5,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,5,3,7,8,4]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,7,5,2,6,8,4]=>[1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,7,4,2,6,8,5]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,2,6,4,3,7,8,5]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,4,7,3,2,5,8,6]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,7,5,3,2,8,6,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,8,5,4,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,9,6,5,4,3,2,1,8]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,4,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [8,10,7,6,5,4,3,2,1,9]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [1,8,2,4,3,7,6,5]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,5,4,7,2,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,3,4,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,8,3,7,6,2]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,2,3,7,6,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,5,7,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,1,8,4,3,6]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,1,8,7,4,2,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,5,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,3,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,1,4,5,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,7,1,2,4,3,8,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,6,8,5,7,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,3,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,5,8,7,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,5,8,7,4,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,4,5,8,6,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,3,6,7,5,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,3,5,8,7,1,4]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,8,7,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,8,7,2,5,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,8,1,7,2,5,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,4,6,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,2,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,3,7,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,4,1,3,2,8,5,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,8,6,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,5,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,7,5,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,8,1,4,5,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,1,2,4,5,3,7]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,6,1,2,5,4,7]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,8,1,6,2,3,4,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,6,5,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,8,6,2,5,1,7]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,6,8,4,5,1,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,5,4,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,6,1,7,4,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,5,8,6,3,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,2,3,6,7,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,3,1,5,6,7,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,8,3,5,6,7,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,4,8,2,3,6,7,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [3,1,2,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,5,8,1,2,4,7,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [4,5,8,1,2,3,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,4,1,2,6,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,4,3,7,1,8,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,4,7,3,2,8,5,6]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,7,1,4,3,8,5,6]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,1,8,6,3,7,5]=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [3,5,2,8,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,1,8,3,7,5,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,6,3,7,1,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,8,5,1,2,7,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,4,8,2,6,7,3]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,4,5,1,6,7,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,1,5,8,6,2,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,5,3,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [7,4,1,5,3,2,6,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,4,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,3,1,5,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,5,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,2,3,1,6,5,7]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,6,2,8,1,4,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,3,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,4,8,1,5,3,7]=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [2,8,3,6,1,5,4,7]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,3,4,1,6,5,7]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,5,3,8,6,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,6,2,7,4,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,8,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,4,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,3,6,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,3,6,4,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,4,6,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,8,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,6,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,6,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,2,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,1,7,5,8,2,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,5,8,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,8,6,7,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,1,4,3,7,5,6]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,7,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,8,2,7,3,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,1,8,2,7,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,4,1,8,6,7,2,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,2,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,2,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,8,2,5,1,6,4,7]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,5,2,8,1,6,3,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,3,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,8,7,3,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,6,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,8,6,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,6,3,5,1,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,3,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,4,1,2,5,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,5,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,3,2,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [6,2,1,5,3,4,8,7]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,7,2,3,6,1,8,5]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,2,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,5,8,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,7,6,3,8,5]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [4,1,3,7,6,2,8,5]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,2,8,6,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,5,7,1,3,6]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,6,7,3,5,1,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,8,6,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,6,1,4,5,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,6,5,8,4,7,3]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,8,5,4,3,7]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [4,1,8,5,6,2,3,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,2,8,4,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,2,7,6,1,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,8,2,7,5,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,8,1,2,6,7,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,8,4,3,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,7,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,4,3,7,5,6]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,8,4,2,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,4,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,3,1,6,4,5,7]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,4,8,2,6,3,5,7]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,2,8,3,4,5,7,6]=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,8,2,6,4,5,7]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,5,7,2,3,6,4,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,8,2,4,5,7,6]=>[1,4,8,2,5,6,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,7,8,2,3,6,4,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,2,5,3,6,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,2,4,5,3,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,3,6,4,5,7]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,2,3,6,4,5,7]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,8,3,6,4,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,2,7,8,3,6,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,8,4,6,7,5]=>[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,7,8,2,4,3,6,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,6,3,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,6,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,6,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,4,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,6,3,7,5,1,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,7,3,6,5,1,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,6,3,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [2,5,3,1,6,4,8,7]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [2,5,3,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,5,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,7,6,3,5,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,5,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,3,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,2,3,8,4,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,3,7,5,4,8,6]=>[2,1,3,8,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,3,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,5,3,1,8,6,4,7]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [4,2,8,3,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,6,8,2,1,4,5,7]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [1,5,2,8,3,4,7,6]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,2,6,3,8,7,4,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,3,6,4,7,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,6,3,4,8,5]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,1,3,8,7,5,4,6]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [1,2,7,6,3,8,4,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,6,3,1,8,5,4,7]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [2,1,3,8,5,4,7,6]=>[2,1,3,8,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,8,4,3,5,7,6]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,2,6,3,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [5,4,2,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,5,8,2,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,4,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,2,1,8,3,5,7,6]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,8,7,4,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,6,3,7,4,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,3,8,6,4,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,3,8,4,7,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,2,3,8,7,4,6]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,2,1,8,3,7,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,2,8,6,3,4,7,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,3,8,4,6,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,5,3,8,1,6,4,7]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [3,8,5,7,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,8,6,1,2,5,7]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,7,1,4,8,6,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,8,1,5,7,6,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,3,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,8,1,7,5,6,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,3,8,1,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,4,8,1,3,5,7,6]=>[4,5,8,1,2,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [3,5,7,6,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,8,6,7,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,5,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,5,7,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,8,6,2,1,5,7]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,7,6,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,8,6,7,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,1,7,5,2,8,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,2,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,2,3,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,4,2,8,5,6,1,7]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,4,8,6,1,5,7]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,8,6,7,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,5,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,6,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,5,7,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,4,7,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,2,8,4,6,1,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,1,7,4,6,2,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,4,7,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,3,8,5,2,6,7]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,1,2,6,7,5,3,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,6,7,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,6,7,5,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,6,7,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,7,5,3,2,8,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,8,5,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,6,7,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,6,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,7,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,4,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,6,5,4,2,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,3,7,5,8,2,6]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,3,8,6,2,7,5,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,8,6,2,5,3,4,7]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,4,1,6,8,3,5]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,2,4,5,1,6,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [1,8,6,4,5,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,4,6,5,1,3,7]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,1,7,5,2,6,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [2,5,4,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,8,5,4,6,2,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,1,3,7,5,6]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,7,6,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,6,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,4,5,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,3,5,7,8,2,6]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [3,6,7,2,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,2,7,4,3,8,6]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [2,8,5,6,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,6,5,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,2,8,5,6,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,5,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,8,1,5,7,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,2,5,8,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,5,8,6,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,7,1,8,5,6,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,2,7,6,8,3,5,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,7,6,8,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,1,6,8,5,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,3,7,6,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,7,6,8,2,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,6,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,7,6,8,2,5,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,7,4,2,6,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,6,8,5,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,8,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,8,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,1,6,8,5,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,3,6,7,2,1,5,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,3,6,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,6,7,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,3,4,1,5,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,4,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,3,5,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [5,6,3,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,8,2,3,1,6,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,2,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [7,3,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,4,1,7,3,5,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,5,8,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,6,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,6,8,5,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,6,1,4,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,6,1,4,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,8,3,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,5,8,6,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,5,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,3,4,5,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,1,4,3,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,1,4,3,7,2,8,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,1,4,3,8,2,7,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,4,1,3,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [5,8,1,4,2,3,7,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,1,6,3,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,8,6,5,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,5,6,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,7,8,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,8,7,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,8,7,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,7,8,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,6,8,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,8,5,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,1,3,4,2,6,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,1,8,4,2,3,6,7]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,1,3,4,2,6,7]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,7,5,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,8,6,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,6,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,1,6,2,5,7]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,8,7,3,5,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,3,8,7,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,1,7,4,2,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,1,2,4,3,5,7]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,7,1,3,4,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,6,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,7,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,8,3,7,5,6,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,8,2,6,5,7]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [4,3,2,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,1,3,8,2,6,5,7]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,1,8,7,3,5,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,8,1,5,4,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,8,1,6,2,5,7]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,8,7,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,4,8,3,6,5,7]=>[1,2,5,8,3,7,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [3,4,2,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,1,8,2,6,5,7]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,6,7,8,4,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,7,8,5,3,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,2,8,3,6,5,7]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,2,3,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,7,6,8,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,1,8,5,2,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,8,7,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,6,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,3,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,3,1,8,2,6,5,7]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,4,7,8,5,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,3,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,8,6,3,1,5,7]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,8,4,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,8,6,3,1,5,7]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,7,3,8,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,8,2,6,5,7]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [3,2,4,8,1,6,5,7]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,4,8,3,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,3,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,2,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,1,4,8,2,6,5,7]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,7,4,8,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,6,2,1,5,7]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,8,2,6,1,4,7]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,6,5,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,5,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,2,4,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,8,1,2,5,6,3,7]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,1,6,3,8,4,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,2,5,1,8,4,3,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,6,1,5,8,4,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,1,4,5,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,6,4,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,5,4,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,3,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,3,6,2,7,8,5]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,5,4,3,7,2,8,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [4,7,8,5,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,3,4,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,8,6,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,2,6,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,3,2,5,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,7,2,3,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,7,5,2,8,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,5,7,4,1,8,3,6]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [4,2,6,1,7,8,3,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,7,6,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,4,1,6,8,5]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,7,1,8,4,2,5,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,1,3,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,6,2,8,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,2,7,8,5,6,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,7,1,8,2,6,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,7,3,8,6,5,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,8,4,3,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,7,3,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,3,6,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,7,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,7,6,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,4,2,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,2,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,2,6,1,4,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,2,5,1,7,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,3,7,2,5,1,8,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,7,2,5,1,4,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,4,2,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,2,6,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,2,6,5,1,4,7]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,7,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,7,6,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,5,4,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,7,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,7,2,1,5,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,2,1,4,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,3,2,1,5,7,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,3,7,2,1,4,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,7,2,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,5,2,7,1,4,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,2,6,1,4,3,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,2,7,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,2,6,1,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,2,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [4,2,7,6,1,5,3,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,6,1,4,5,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [5,8,2,1,6,4,3,7]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,2,1,5,4,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,3,2,1,6,4,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,8,2,1,5,4,6,7]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,2,7,1,5,4,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,7,1,6,4,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,7,1,5,4,3,6]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,2,1,6,5,7,3,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,1,6,5,4,3,7]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,5,8,1,2,6,3,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,5,7,2,6,3,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,3,5,6,2,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [3,6,8,1,7,2,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,8,1,3,5,4,6]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,8,3,5,6,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,5,7,8,1,6,3]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,8,7,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,6,7,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,8,1,2,5,4,7]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [1,3,6,7,2,5,4,8]=>[1,5,7,6,2,4,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [1,7,2,6,5,4,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,6,3,2,5,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,7,8,6,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,8,1,6,5,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,8,6,3,7,4,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,5,4,3,8,6]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,4,5,3,6,7]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,8,3,6,5,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,5,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,8,5,7,3,6]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,1,5,4,6,8,3,7]=>[2,1,7,4,5,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [6,4,1,5,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,4,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,6,3,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,6,3,2,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,2,4,7,5,1,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,2,3,1,4,5,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,1,4,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,8,1,4,5,3,2,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,5,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,6,3,5,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [2,7,8,5,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,3,4,6,1,5,7]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,3,6,1,8,5]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,7,2,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,8,4,7,1,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,4,6,1,5,8,7]=>[5,2,3,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [2,8,4,6,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,8,4,6,7,1,5]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,3,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,4,5,6,8,1,7]=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,5,7,8,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,7,8,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,5,7,8,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,1,6,8,2,7,4]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,5,6,8,2,7,4]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,5,6,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,1,6,8,3,7,4]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,2,7,8,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,5,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,5,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,7,8,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,5,7,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,6,7,5,8,3,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,5,7,8,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,7,5,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,5,4,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,7,1,5,6,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,6,7,4,5,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,7,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,3,7,8,6,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,1,6,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,7,6,1,3,8,4,5]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,6,1,3,8,5,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,5,1,8,6,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,1,5,8,3,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,7,4,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,6,7,3,8,5,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,7,4,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,1,5,8,4,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,6,5,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,7,5,4,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,1,5,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,4,7,8,1,6,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,8,4,3,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,6,2,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [3,5,2,6,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,5,6,8,3,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,8,1,5,6,3,7]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,6,1,8,4,3,7]=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [5,3,6,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,6,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,5,6,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,5,6,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,7,8,4,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,7,3,8,4,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,1,7,4,3,8,6]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,5,7,4,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,3,7,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,6,3,1,7,8,4]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,7,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,2,1,3,8,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,7,8,6,4,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,5,1,7,3,8,6,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,1,3,6,8,2,5,7]=>[6,2,3,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [4,2,3,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [5,3,2,1,8,4,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,6,5,8,2,1,7,4]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,2,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,2,6,4,5,8,1,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,4,6,5,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [1,6,2,4,5,8,3,7]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [5,3,2,1,6,8,4,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,2,4,5,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,3,4,6,5,8,2,7]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,6,3,4,5,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [3,4,1,8,5,2,7,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,8,4,1,7,6,3,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,5,3,2,8,7,4,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,7,6,4,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,6,7,1,3,5]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,3,6,2,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,4,8,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,5,8,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,5,6,8,7,1,4]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,8,5,6,7,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,2,8,3,5,6,7,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,2,3,7,1,8,6,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,2,6,4,8,1,7,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,7,8,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,5,3,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,5,3,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,3,1,2,7,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,2,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,8,4,7,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,2,3,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,2,7,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,3,2,5,8,7,4]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,4,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,4,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,5,2,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,4,8,5,7,2,6]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,3,4,7,5,8,2,6]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [2,6,5,1,3,8,7,4]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,5,1,4,7,6,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,4,7,8,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,7,3,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,1,7,8,4,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,4,5,8,3,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,8,7,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,7,2,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,7,2,6,1,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,1,5,4,7,6,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,8,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,7,6,4,5,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,7,2,4,6,5,8,3]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,1,7,6,8,2,4]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,7,8,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,1,8,5,4,6,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,7,8,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,5,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,6,2,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,6,8,1,5,2,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,7,2,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,5,2,6,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,2,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,5,6,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,6,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,2,1,7,8,5,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,6,2,1,8,5,4,7]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [3,6,8,2,4,5,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,2,1,4,8,6,5]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,2,1,8,5,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,2,1,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,1,6,3,8,5,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,6,8,3,5,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,7,3,2,8,6,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,1,8,3,2,5,6,7]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,5,2,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,6,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,6,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,8,3,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,6,2,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,6,8,3,2,5,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,2,3,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,2,3,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,1,2,6,8,4,3,7]=>[7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,2,8,4,3,6,7]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,1,6,3,8,4,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,8,3,4,2,6,7]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,6,2,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,6,8,3,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,2,3,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,1,2,3,8,5,4,7]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,1,8,3,4,5,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,2,3,4,5,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,1,2,4,3,7,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,5,7,2,6,4,8]=>[1,5,7,6,2,4,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [3,5,8,6,1,2,4,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,1,6,8,2,4,7,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,6,2,8,1,5,7,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,1,3,8,4,7,5]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,7,5,2,3,4,6,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,7,5,1,3,8,4,6]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,8,1,5,3,2,4,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,7,5,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [6,5,1,2,4,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,7,3,6,5,2,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,7,6,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,6,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,9,8,7,6,5,4,2,3]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [1,7,5,6,3,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,7,4,2,6,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [4,2,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,5,1,8,4,3,7,6]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [6,2,5,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,1,3,4,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,7,3,2,5,4,8,6]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,3,2,8,1,6,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,6,1,5,7,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,8,3,4,2,7,6,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,3,2,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,3,4,7,1,5,6]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,3,6,7,8,2,5]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,7,6,3,2,5,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,5,6,2,7,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,6,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,2,1,7,5,8,4]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,4,1,8,7,6,3]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,8,2,4,5,6,7,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,5,7,6,1,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,7,3,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,7,5,8,6,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,4,2,5,8,3,7,6]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,4,2,7,8,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,2,6,5,8,4,7]=>[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,3,3,3]=>2 [4,1,2,6,8,5,3,7]=>[7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,2,4,8,7,6,3]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,4,8,7,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,4,8,6,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,2,7,5,8,4,6]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [2,3,1,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,2,8,5,7,4,6]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,4,2,5,8,7,3,6]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,5,2,4,8,7,3,6]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,2,6,4,8,7,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,5,6,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,8,5,7,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,6,8,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,2,6,7,4,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,4,7,2,8,6,3,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,7,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,8,3,7,5,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,7,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,7,8,4,6,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,2,8,3,6,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,6,7,3,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,7,4,8,6,2]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,4,1,5,3,7,6]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,4,1,5,7,2,6]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,3,6,4,2,8,7,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,7,4,2,8,6,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,8,4,2,7,6,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,5,2,4,8,3,7,6]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,8,4,5,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,5,2,7,4,6]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,3,5,1,4,7,6]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,8,6,1,4,7,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,3,8,6,2,7,4,5]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,4,8,6,7,2,3,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,6,8,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,8,5,3,7,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,5,3,6,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,8,7,3,6,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,8,7,3,5,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,6,3,5,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,6,8,2,3,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,3,7,6,2,8,4,5]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,3,8,7,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,2,8,4,7,6,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,8,7,6,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,8,7,5,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,6,5,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,6,1,4,5,8,7,3]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,7,5,8,3,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,7,4,8,5,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,7,4,8,3,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,6,4,1,7,8,2,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,1,5,4,8,7,3]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,4,7,8,5,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,1,2,4,8,7,3,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,1,2,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,1,5,3,8,6,4,7]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,6,1,5,4,8,3,7]=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1]=>2 [5,1,2,4,8,6,3,7]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,2,4,8,3,7,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,6,3,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,5,4,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,1,3,7,8,6,4,5]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,7,8,5,6,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [4,3,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,1,3,6,8,5,7,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,6,8,7,4,5]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [3,1,6,2,8,7,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,2,9,3,4,5,6,7,8]=>[1,2,9,4,5,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,2,8,4,5,3,6,7]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,3,4,2,5,6,7]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,9,4,3,5,6,7,8]=>[1,2,9,5,4,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,8,4,3,2,5,6,7]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,9,3,2,4,5,6,7,8]=>[1,9,4,3,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [6,8,1,3,2,5,4,7]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,1,4,2,5,3,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,1,4,3,7,2,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,2,5,1,4,3,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,4,7,6,8,1,3]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,3,7,6,8,1,4]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,1,4,3,7,5,8]=>[3,7,1,5,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [2,6,5,8,1,4,3,7]=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [2,6,1,5,3,7,4,8]=>[3,7,1,5,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [2,6,3,7,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,4,7,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,6,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,1,5,3,7,2,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,1,5,2,6,3,7]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,7,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,1,3,2,6,4,7]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,7,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,6,8,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,5,8,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,1,3,2,6,5,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [3,7,1,4,2,6,5,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [3,7,5,8,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,6,8,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,6,8,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,5,8,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,4,8,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,4,8,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,2,6,5,8,1,4]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,5,8,4,7,1,3]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,5,8,3,7,1,4]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,2,7,4,1,5,3,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,4,7,8,2,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,8,2,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,4,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,8,2,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,2,8,4,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,3,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,7,3,4,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,2,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,4,2,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,4,5,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,2,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,7,4,2,3,1,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,6,3,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,2,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,2,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,3,4,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,4,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,3,6,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,6,5,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,4,5,6,7,8,1,9,3]=>[7,9,3,4,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,5,6,7,8,9,1,10,3]=>[8,10,3,4,5,6,7,1,9,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,8,2,5,3,7,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,5,3,4,7,6]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,3,6,4,7,5]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,2,8,4,7,6]=>[1,4,6,2,8,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,1,1,1]=>2 [1,8,2,7,3,4,6,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,2,3,7,4,6]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,8,2,3,5,4,7]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,3,6,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,7,5,8,3,4,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,8,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [6,1,2,5,4,8,3,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,2,8,5,4,1,7,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,8,5,1,3,6,7]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [3,5,6,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,3,6,8,7,4,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,2,8,5,7,3,4,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,6,1,5,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>2 [4,8,1,2,5,7,3,6]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,4,7,2,5,6]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,8,4,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,3,1,5,8,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,4,6,8,1,3,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,8,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,8,2,7,4,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,2,8,7,4,6,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,2,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,1,7,3,8,5,2,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,1,4,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,6,7,4,5,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,1,2,5,8,4,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,4,7,2,8,5,3,6]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,8,4,1,7,5,6,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,2,4,8,6,5,3,7]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [2,7,8,1,4,6,3,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,2,6,4,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,7,3,2,4,8,5,6]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,5,2,8,4,7]=>[1,5,7,4,2,8,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,2,1,1,1,1]=>2 [5,3,8,6,1,2,4,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,8,6,1,5,2,7]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,5,3,6,2,4,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,7,2,4,3,8,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,5,3,4,8,6,2,7]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [5,4,1,3,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,8,6,3,4,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,3,8,2,6,7,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,1,7,2,8,5,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,6,1,4,7,2,8,5]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,8,4,7,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,1,8,4,5,7,3,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,8,5,7,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,8,5,4,3,6,7]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,4,1,5,3,8,6]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,4,6,3,8,5]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,5,4,1,3,6,7]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,1,7,4,2,3,8,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,6,5,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,8,6,5,3,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,5,6,8,3,7,4]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,6,8,3,2,7,4,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,2,5,7,8,4]=>[1,4,8,2,5,6,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,4,6,3,5,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,1,4,2,7,8,5]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,6,5,2,7,8,4]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,2,6,4,3,8,5,7]=>[1,2,7,5,4,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2,1]=>2 [2,3,5,1,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2]=>2 [2,3,6,1,8,5,4,7]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2]=>2 [1,2,7,4,6,8,3,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,3,7,5,1,8,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,2,7,6,4,8,5,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,3,6,8,5,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,3,6,1,8,5,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,2,5,8,4,7,3,6]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,2,6,8,5,4,7,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,6,8,5,2,7,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,5,7,4,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,7,6,8,3,1,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,6,8,5,2,4,7]=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1,1,1]=>1 [1,2,6,8,5,4,3,7]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,2,5,8,4,3,7,6]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [1,3,5,8,2,4,7,6]=>[1,5,6,8,2,3,7,4]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,3,2,1,1,1,1]=>2 [1,3,6,8,2,5,4,7]=>[1,5,7,8,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1,1,1,1]=>2 [1,4,6,8,3,2,5,7]=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1,1,1]=>1 [3,5,7,4,8,1,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,6,7,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,7,5,6,8,2,4]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,3,6,5,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,6,2,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,4,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,4,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,2,4,7,5,8,3,6]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,2,6,7,4,8,3,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,7,3,8,5,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,7,3,8,6,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,3,6,5,8,7,1,4]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,7,4,6,8,5,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,5,6,8,4,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,4,6,8,3,5,7,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,8,2,5,7,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,5,8,2,7,4,6]=>[1,5,7,8,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1,1,1,1]=>2 [1,2,5,8,4,7,6,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,8,7,3,6,5]=>[1,2,6,8,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [1,2,5,8,7,4,3,6]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,3,5,8,7,2,4,6]=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,1,1,1,1]=>1 [2,3,7,6,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,6,8,5,7,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,8,7,4,6,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,8,7,6,3,5]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [5,3,4,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,7,4,6,8,1,5]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,6,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,3,4,7,1,5,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,7,3,4,5,8,1,6]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,7,3,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,6,2,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,5,2,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,1,2,8,4,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [6,5,2,3,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,1,7,3,4,6,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,2,1,8,3,4,6,7]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [7,1,6,2,3,4,5,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,8,3,6,7,2]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,7,1,8,3,6,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,6,2,8,4,5,7,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,3,6,8,2,7,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,6,3,8,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,4,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,8,7,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,1,8,7,2,4,6,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [5,3,7,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,3,7,2,4,5,6]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,7,2,4,5,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,8,2,3,5,1,4,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,8,2,6,1,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,6,1,3,4,5,7]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,6,1,3,4,5,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [1,7,6,2,3,4,5,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,6,2,3,4,5,7]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,7,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,2,4,7,1,8,5]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,7,2,5,1,8,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,6,4,8,5,3,7]=>[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [4,1,8,5,3,2,7,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,2,5,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [1,2,8,3,7,5,4,6]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [6,1,3,2,8,5,4,7]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,6,1,2,8,4,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,6,3,8,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,8,1,2,6,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,8,10,6,9,4,7,2,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,6,7,10,9,4,8,2,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,8,10,4,5,9,7,2,6,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,4,7,10,5,9,8,2,6,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,8,10,6,9,2,3,7,5,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,6,7,10,9,2,3,8,5,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [3,6,8,7,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,1,2,4,8,7,6]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1]=>2 [3,8,5,2,7,4,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,8,4,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,7,4,1,3,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,3,5,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,1,4,6,2,8,7,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,4,6,5,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,5,8,7,2,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,7,2,6,3,5,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [1,8,5,7,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,5,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,8,1,6,3,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,8,6,3,7,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,1,3,5,8,6,2,7]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,7,4,3,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,8,3,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,8,2,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,8,4,2,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,2,7,6,5,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,2,6,8,5,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,8,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,5,3,2,6,7]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,6,3,4,2,5,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,1,4,2,7,5,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [3,6,5,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [3,8,5,6,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,4,5,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,6,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,3,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,8,6,7,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,2,1,5,8,7,3,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,4,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,3,6,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,4,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,1,5,7,6,8,2,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,5,6,8,7,2,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,3,7,2,8,5]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,7,3,6,5,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,2,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,2,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,5,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,4,7,5,1,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,3,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,4,7,6,2,8,5]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [2,8,3,6,1,7,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,2,6,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,1,3,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,2,4,7,3,8,6,5]=>[1,2,5,8,3,7,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [3,1,8,6,2,7,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,8,6,1,7,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,8,7,2,6,5,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,7,1,6,5,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,4,8,6,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,6,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,4,6,2,3,8,7,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,2,7,4,8,6,5]=>[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [2,3,1,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,5,2,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,7,1,6,2,8,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,1,3,8,6,5,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,7,2,3,8,6,5,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,6,2,7,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,3,7,4,8,6,5]=>[2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [4,2,7,3,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,6,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,5,3,8,2,7,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,2,6,4,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,3,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,3,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,7,4,3,5,8,1,6]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,3,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [6,5,4,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,1,7,2,6,3,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,1,8,3,2,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,4,2,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,5,2,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,6,2,5,4,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,6,8,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,8,4,3,2,5,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,1,7,4,2,5,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,8,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,8,3,5,7,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,1,6,8,2,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,7,4,8,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,8,2,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,8,7,3,4,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,3,7,6,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,3,2,6,4,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,8,2,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,8,7,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,6,4,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,6,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,6,5,2,4,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,6,5,3,2,4,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,5,7,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,4,7,5,8,1,6,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,4,7,1,8,6,3]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,5,7,4,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,2,8,6,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,7,4,2,6,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,4,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,2,1,6,5,3,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,3,5,1,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,4,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,7,5,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,10,9,6,3,8,4,5,7]=>[2,1,10,9,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [2,1,10,9,8,7,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [8,7,4,1,6,2,3,5,10,9]=>[8,7,6,4,5,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [8,7,6,5,1,2,3,4,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [7,6,5,4,3,2,9,1,8]=>[8,6,5,4,3,2,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>3 [6,5,4,3,9,2,8,1,7]=>[8,6,4,3,9,2,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>2 [6,5,4,3,2,8,1,7,9]=>[7,5,4,3,2,8,1,6,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[8,5]=>3 [5,4,9,3,8,2,7,1,6]=>[8,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>1 [5,4,3,8,2,7,1,6,9]=>[7,5,3,8,2,6,1,4,9]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[8,3]=>2 [4,8,3,7,2,6,1,5,9]=>[7,8,5,6,3,4,1,2,9]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1]=>1 [4,3,7,2,6,1,5,8,9]=>[6,4,7,2,5,1,3,8,9]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[8,7,2]=>2 [3,6,9,2,5,8,1,4,7]=>[7,8,9,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>0 [3,6,2,5,8,1,4,7,9]=>[6,7,3,4,8,1,2,5,9]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>[8,4,1]=>2 [3,2,5,7,9,1,4,6,8]=>[6,2,7,8,9,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2]=>1 [2,4,6,8,1,3,5,7,9]=>[5,6,7,8,1,2,3,4,9]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,1]=>2 [8,7,6,5,4,3,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>3 [7,6,5,4,3,10,2,9,1,8]=>[9,7,5,4,3,10,2,8,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>2 [7,6,5,4,3,2,9,1,8,10]=>[8,6,5,4,3,2,9,1,7,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[9,6]=>3 [6,5,4,10,3,9,2,8,1,7]=>[9,7,5,10,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>1 [6,5,4,3,9,2,8,1,7,10]=>[8,6,4,3,9,2,7,1,5,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0]=>[9,4]=>3 [5,10,4,9,3,8,2,7,1,6]=>[9,10,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [5,4,9,3,8,2,7,1,6,10]=>[8,6,9,4,7,2,5,1,3,10]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[9,2]=>2 [4,8,3,7,2,6,10,1,5,9]=>[8,9,5,6,3,4,10,1,2,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0]=>[6,1]=>1 [4,3,7,10,2,6,9,1,5,8]=>[8,5,9,10,2,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[3,2]=>1 [3,6,9,2,5,8,1,4,7,10]=>[7,8,9,4,5,6,1,2,3,10]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[9,2,1]=>1 [3,6,2,5,8,10,1,4,7,9]=>[7,8,3,4,9,10,1,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0]=>[5,4,1]=>1 [2,1,7,3,8,4,6,5]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,1,8,2,7,3,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,7,2,8,3,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,1,8,2,4,3,7,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,1,6,2,4,3,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,8,2,7,5,4,6,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,7,4,3,5,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,4,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,7,2,6,3,5,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,1,7,4,3,6,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,5,4,3,6,2,7]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,3,7,2,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,2,5,3,7,6]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,7,3,2,5,6,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [3,1,7,2,6,8,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,1,6,3,2,5,8,7]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [5,4,3,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,1,6,2,5,7,8]=>[5,3,2,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[7,6,3]=>2 [5,4,8,2,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,3,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,3,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,1,7,8,3,6,4,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,2,1,6,7,3,5,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,3,1,5,2,7,6,8]=>[5,3,2,4,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [5,4,2,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,5,3,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,1,6,2,8,7,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,3,1,5,2,6,8,7]=>[5,3,2,4,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [3,6,7,1,2,5,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,3,6,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,3,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,1,3,5,4,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [3,2,5,7,1,8,4,6]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [4,3,1,2,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,1,2,7,3,6,4,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,4,7,8,2,3,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,5,4,6,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,6,7,3,2,4,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,6,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,5,7,6,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,8,6,2,3,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,2,1,8,3,6,4,7]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,2,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [7,6,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [7,8,9,4,5,2,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,8,4,5,9,2,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,8,9,4,2,5,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,8,4,9,2,5,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,4,8,9,2,5,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [4,6,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,3,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,5,3,6,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [4,6,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,7,3,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,5,6,1,4,7,8]=>[5,2,6,4,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[7,6,2]=>2 [3,5,2,6,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [5,1,4,6,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,4,6,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,7,3,2,4,5,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,1,3,6,2,4,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,2,4,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,4,6,7,1,3,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,6,7,4,5,1,3,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,5,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,1,6,2,4,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,1,7,3,2,4,5,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,7,4,5,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,1,6,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,1,6,3,4,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [7,3,2,5,4,1,6,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,4,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,2,1,4,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,6,7,5,2,8,4]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [7,3,4,1,6,2,5,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,4,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,4,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,2,5,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,4,1,5,2,6,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,6,7,2,5,8,4]=>[1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,7,4,6,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,1,7,2,6,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [5,3,2,1,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,3,4,5,8,7,2,6]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [2,4,5,1,6,8,7,3]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,2,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,1,4,6,5,8,2,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,3,4,5,8,6,1,7]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,4,5,8,1,7,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,4,5,2,6,8,7,3]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,5,2,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,2,1,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,1,4,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,1,2,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [1,7,4,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,4,6,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,6,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,6,7,5,1,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,2,6,7,1,8,5]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,7,4,6,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,3,4,5,8,6,2,7]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,3,4,5,8,2,7,6]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [6,3,4,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,3,4,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,1,8,6,3,5,4,7]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,3,5,8,6,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,2,1,8,3,6,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,1,8,6,3,5,7,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,3,1,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,2,1,5,7,8,4,6]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [2,1,7,3,6,8,4,5]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,3,1,5,6,8,4]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,7,5,1,6,8,3]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,1,8,3,5,7,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,6,8,3,7,4,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,3,5,7,4,6]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,2,1,5,6,8,4,7]=>[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,3,3,3]=>2 [2,1,6,3,5,8,4,7]=>[2,1,7,4,5,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [2,6,1,8,3,5,4,7]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,4,7,1,8,5,3,6]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [2,4,8,5,1,6,3,7]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,7,1,8,3,5,6,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,8,3,6,4,5,7]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,2,1,6,8,4,5,7]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [2,1,8,3,7,4,5,6]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,3,6,7,4,5]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,4,8,5,1,6,7,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,1,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,6,8,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,5,7,2,4,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,2,6,8,4,7,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,8,3,6,7,5]=>[1,2,5,8,3,7,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [4,1,2,7,8,3,6,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,2,8,4,3,5,7,6]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,3,8,5,4,7]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [1,2,8,5,3,6,4,7]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,3,8,5,4,6]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,4,2,7,3,5,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,6,3,2,4,5,7]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,7,8,6,2,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,7,2,4,5,6,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,3,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,8,7,4,5,6]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,7,6,3,2,4,5,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,2,8,4,3,7,5,6]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,5,3,8,6,4,7]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [1,8,2,7,6,4,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,9,8,7,6,5,4,1,3]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,6,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,1,6,3,2,5,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,6,3,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,4,3,6,5,2,7]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,6,5,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,4,2,1,6,5,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,1,4,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,3,5,2,6,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,6,3,4,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,7,2,4,6,8,5]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,4,7,1,5,2,8,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,2,7,1,5,8,6]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,1,2,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [5,4,8,6,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,2,7,4,3,6,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,1,6,3,7,5]=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [3,1,2,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [5,3,2,6,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,6,3,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,4,5,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,8,5,3,2,7,6,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,5,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,1,6,7,8,5,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,3,2,1,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,1,4,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,7,8,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,2,8,1,5,4,7]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [2,3,6,8,5,1,4,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [3,1,6,4,8,2,5,7]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [1,8,5,2,4,6,3,7]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,2,3,5,7,6]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,4,2,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,5,6,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,5,6,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,5,7,8,4,1,3,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,3,2,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,6,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,6,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,6,7,8,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,7,8,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,8,2,1,4,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,6,7,8,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,7,8,3,1,4,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,4,7,3,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,3,2,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,4,5,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,4,5,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,4,6,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,7,8,3,1,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,7,8,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,6,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,6,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,3,2,6,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,7,2,8,1,3,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,7,8,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,7,8,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,8,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,8,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,3,2,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,5,7,8,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,8,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,8,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,5,6,7,8,9,10,2,3]=>[1,10,9,4,5,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [4,2,7,1,5,3,8,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,8,6,1,5,3,7]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,6,4,7,1,5,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [1,3,4,8,2,7,5,6]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [3,1,4,8,2,6,7,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,6,1,7,5,8,2,4]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,2,3,5,7,4,6]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,3,2,5,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,5,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,2,8,1,5,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,6,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,2,7,4,8,3,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,8,4,1,5,6,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,1,8,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,2,8,3,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,4,8,1,5,7,3]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,2,6,3,7,1,5,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [2,6,4,8,1,3,7,5]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,5,1,8,7,3]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,6,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,5,6,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,6,5,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,1,2,4,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,1,3,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,4,3,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [2,6,4,3,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [2,6,4,3,1,8,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,8,4,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,8,4,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,8,4,1,6,2,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,8,3,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,8,4,1,7,3,6]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [3,6,4,2,1,7,8,5]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,5,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [3,6,4,5,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,6,4,1,7,8,3]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,6,1,2,8,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,5,3,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [4,6,1,5,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,6,1,4,2,5,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [2,6,4,5,7,8,1,3]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,5,6,1,8,7,3]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,3,4,7,5,1,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,6,1,7,3,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,5,1,7,2,4,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,1,8,7,4,6,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [6,5,4,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,3,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,1,4,3,8,5,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,3,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,4,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,7,6,8,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,4,5,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,8,1,5,2,4,7]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,2,8,7,4,5,1,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,4,8,7,5,3,6]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,1,6,8,3,7,5,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,6,8,2,4,1,5,7]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,6,5,4,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [4,2,8,1,5,3,6,7]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,1,8,2,6,4,3,7]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,5,8,3,6,4,7]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,8,5,3,6,7,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,4,5,6,2,7]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,7,4,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,2,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,7,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,7,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,3,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,2,5,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,8,5,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,7,8,6,1,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,8,5,6,3,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,2,5,6,4,3,7]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,5,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,5,2,4,6,7,8,3]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,6,4,1,7,8,5]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,5,2,1,6,7,8,4]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,5,3,2,6,7,8,4]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,5,6,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,8,7,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,7,5,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,4,6,2,3,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,2,4,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,5,4,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,7,4,2,3,6,8,5]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,5,3,7,6,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,5,6,4,2,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,4,1,2,5,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,1,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,6,1,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,5,1,4,7,8,6]=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,5,5,2]=>2 [3,1,8,2,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,8,1,6,4,3,7,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,3,8,7,5,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,7,1,3,8,6,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,8,1,5,7,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,5,8,4,6,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,6,4,8,3,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,6,5,3,8,4]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,1,7,6,5,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,1,8,7,3,2,6,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,6,1,4,2,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [7,3,6,2,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,6,2,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,2,6,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,1,7,4,8,2,5]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,8,6,3,7,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,4,2,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,3,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,8,1,3,2,5,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,7,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,2,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,8,4,2,5,3,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,2,7,8,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,8,1,5,4,6,7]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,4,8,5,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,1,4,2,5,8,6]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [7,2,1,4,3,5,6,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,5,3,6,8,2,7]=>[7,2,4,3,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,2,6,4,1,8,7,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,5,2,1,8,7,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,5,3,2,8,6,4,7]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,7,3,6,2,8,5,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,2,3,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [6,7,3,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,3,1,2,4,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,8,1,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [7,6,4,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,8,2,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,2,3,1,4,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,1,3,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [7,1,3,5,4,6,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,2,4,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,2,5,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,6,7,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,1,2,4,7,3,6]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,8,3,5,7,2,6]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,7,2,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,2,8,5,7,3,6]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,3,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,3,7,5,1,4,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,2,6,7,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,8,7,6,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,7,2,1,6,5,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,1,4,2,3,5,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,8,1,4,2,3,5,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,8,2,3,6,5,7]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,2,3,8,1,4,5,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,6,2,3,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [4,8,2,3,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,2,3,8,4,1,5,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,4,2,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,6,4,3,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [2,8,4,3,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,8,4,1,5,7]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [6,3,8,4,2,1,5,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,3,8,1,4,5,7]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [2,8,3,6,1,4,5,7]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,3,6,4,1,5,7]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,2,1,3,8,4,5,7]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,3,8,2,4,1,5,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,2,4,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,6,4,2,7,5,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,2,5,6,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,4,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,2,5,3,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,6,5,2,4,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,8,5,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,5,3,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,8,5,7,3,6,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,6,8,7,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,8,2,5,4,7,6,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,3,5,8,6,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,6,2,1,7,5,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,3,7,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,2,3,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,3,7,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,2,5,4,1,7,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,6,3,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,2,7,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,5,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,6,8,1,2,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,4,3,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,5,3,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,1,3,5,4,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,8,6,1,3,5,4,7]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,6,3,5,8,7,4]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,4,1,3,8,5,7,6]=>[3,4,1,2,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [4,2,1,6,3,5,7,8]=>[5,3,2,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[7,6,3]=>2 [6,2,1,4,3,5,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,8,4,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,8,3,5,7,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,1,3,5,7,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,6,8,3,5,7,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,4,3,6,8,5,7,2]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,8,3,6,5,7,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,1,4,3,5,7,8]=>[3,6,1,5,4,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [2,8,1,4,3,5,7,6]=>[3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,1,6,3,5,7,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,8,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,6,1,3,5,7,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,4,1,3,5,7,6]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,6,2,1,3,5,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [1,6,8,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,6,4,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,1,4,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,1,4,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,7,2,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,6,4,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,8,1,4,6,3,2,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,5,4,6,2,7]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,6,1,5,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,8,3,1,4,2,5,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,1,2,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,8,1,4,7,3,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,5,4,7,2,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,1,5,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,1,4,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,1,4,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,1,5,4,2,6,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,8,1,5,4,2,7,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,1,2,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,7,1,5,4,2,8,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,8,3,1,4,5,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,5,4,2,6,7]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,5,8,4,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,7,4,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,2,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,6,2,5,8,4,3,7]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [2,1,8,7,4,5,3,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,5,8,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,3,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,6,1,3,8,7,4,5]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,3,5,1,7,4,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,6,5,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,3,4,1,7,5,6]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,4,2,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,8,4,3,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,5,3,1,7,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,6,4,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,8,4,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,5,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,3,2,4,8,1,5,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,8,4,1,6,7,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,3,8,5,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,4,8,6,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,8,6,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,8,5,1,3,7,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,8,4,1,3,7,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,8,3,1,4,7,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [2,3,5,4,1,8,6,7]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,3,6,4,8,1,5,7]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [1,8,4,6,3,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,8,6,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,6,8,1,5,4,7]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [2,5,6,1,4,7,8,3]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,6,1,8,5,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,6,8,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,7,6,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,6,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,1,8,5,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,3,5,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,4,7,6,1,5,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [1,8,4,5,2,7,3,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,5,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,4,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,5,4,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,1,6,8,5,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,1,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [6,3,5,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,4,5,2,6,3,7]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,4,8,5,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,4,6,5,8,1,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,3,4,7,5,1,8,6]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,3,4,7,5,1,6,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [2,3,4,7,1,6,5,8]=>[5,2,3,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [2,3,4,7,1,6,8,5]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,4,6,1,8,7,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,8,4,5,2,3,6,7]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,5,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,5,7,4,6,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,4,1,7,8,3,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,4,6,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,8,4,6,3,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,6,2,4,3,5,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,6,3,4,5,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,2,5,4,3,6,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [3,2,8,6,1,5,4,7]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,5,2,8,6,1,4,7]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [3,7,2,5,1,4,8,6]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,1,8,6,2,3,4,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,4,1,8,6,3,7]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [3,7,6,1,8,2,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,2,6,3,4,7,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,8,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,3,7,2,5,8,4,6]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,7,2,3,5,8,4,6]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,3,7,1,4,8,5]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,3,8,1,4,7,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,1,8,5,4,6,7]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,5,2,6,7,1,8,4]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,8,4,7,5,1,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,1,6,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,5,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,3,8,4,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,6,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,8,3,5,7,4,6]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,6,1,7,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,1,7,3,4,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,1,7,6,5,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,1,6,4,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,3,8,7,5,1,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,8,7,1,6,5,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,3,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,4,3,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,2,3,7,8,5,1,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,6,4,2,3,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,2,4,7,8,1,5,6]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,2,4,8,7,1,5,6]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,1,6,7,4,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,6,8,4,2,3,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,3,7,5,1,6,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [3,7,5,8,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,3,7,1,6,5,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [2,4,7,1,5,8,6,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,2,4,7,6,1,5,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [2,4,6,7,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,4,6,1,5,7,8]=>[5,2,3,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[7,6,3]=>2 [3,1,7,5,4,2,8,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,8,5,4,6,3,7]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,1,8,5,2,3,6,7]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,7,1,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [6,3,7,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,3,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,8,1,5,4,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,3,1,5,4,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,6,3,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,2,1,7,5,3,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,8,1,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,7,1,2,6,3,8,5]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,8,1,5,3,4,6]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,7,2,1,5,3,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,2,1,8,5,3,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,4,1,6,5,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,6,4,1,7,5,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [7,2,3,1,5,6,4,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,8,1,6,5,3,7]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,2,4,1,8,5,3,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,2,8,1,4,5,3,7]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [7,2,6,1,5,3,4,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,6,1,5,3,4,7]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,7,1,4,5,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,7,6,1,4,5,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [5,3,1,2,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,7,2,1,4,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,3,7,2,8,4,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [7,2,4,5,1,3,6,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,4,5,2,8,7,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [1,6,4,5,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,4,5,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,7,4,5,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,4,2,6,3,5,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,7,4,1,6,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,4,8,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,5,6,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,3,5,6,7,2,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,4,3,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,8,4,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,8,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,3,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,8,2,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,8,4,2,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,2,5,6,7,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,2,5,6,7,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,1,4,3,6,2,5,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,1,6,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,4,5,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,7,6,5,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,3,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,5,6,7,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,3,8,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,8,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,5,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,4,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,8,5,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,4,3,6,5,8]=>[3,7,1,5,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [2,6,3,1,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [3,7,1,4,2,6,8,5]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,1,5,6,2,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,3,2,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,4,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,7,4,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,5,1,8,3,4,7]=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [5,7,3,4,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [8,10,1,2,3,4,5,6,7,9]=>[9,10,3,4,5,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [5,2,7,1,3,4,8,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,5,7,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,6,5,7,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,8,2,1,3,4,5,7]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,8,4,5,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,2,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,1,6,3,7,5,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [4,2,1,6,3,7,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,7,6,8,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,1,7,3,8,6,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,2,1,3,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [5,8,1,7,4,3,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,6,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,1,8,3,5,6,7]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,2,1,3,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,1,6,3,8,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,2,1,7,3,5,6,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [3,6,7,5,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,6,7,5,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,1,7,3,6,5,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [4,2,1,7,3,6,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,2,1,3,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,2,1,8,3,7,6,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,6,1,5,4,7,8,3]=>[3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,3,6,8,4,1,5,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [2,7,5,1,8,3,4,6]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,7,5,2,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,5,6,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,5,6,1,4,8,3,7]=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>2 [7,1,5,6,4,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,4,6,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,6,7,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,8,4,2,6,3,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,4,6,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,5,2,3,4,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,1,8,2,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,5,1,8,2,6,4,7]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [3,5,1,2,8,4,7,6]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [2,3,5,8,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,8,5,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,2,8,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,7,1,4,6,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [7,3,1,5,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,5,1,6,2,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,7,3,6,5,8,1,4]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,7,2,3,6,5,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,2,6,4,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,2,6,4,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,8,4,3,7,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,7,2,4,6,5]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,8,3,7,2,5,4,6]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,8,1,3,2,5,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,1,4,2,3,5,6,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,3,8,4,6,7,5]=>[2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [3,1,8,5,2,7,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,1,8,7,2,6,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,8,1,7,2,3,6,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,7,2,3,6,5,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [3,7,1,8,2,6,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,1,7,8,2,5,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,1,6,5,8,2,7,4]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,7,1,2,3,6,4,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,8,1,2,7,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,6,1,2,3,7,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,5,2,7,3,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,2,5,3,8,7,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,1,8,2,7,3,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,4,8,1,2,5,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,1,2,3,4,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,1,2,3,7,4,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,6,3,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,6,3,7,2,5,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [1,8,3,4,2,7,5,6]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,3,4,1,6,7,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,2,4,6,1,7,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,8,2,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,1,3,5,7,2,4,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,8,3,7,5,4,6]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,2,8,5,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,3,8,2,5,7,4,6]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [2,8,7,1,6,4,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,4,8,6,2,7,3,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [6,2,3,1,5,4,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [7,5,1,3,2,6,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,1,4,5,3,7,8]=>[3,6,1,5,4,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [3,6,4,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,5,6,1,3,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,5,7,1,2,6,3,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,1,4,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,4,1,2,5,7,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,2,6,7,5,3,8,4]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,5,3,2,8,4,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,5,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,7,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,2,6,5,7,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,3,4,8,2,5,7,6]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,5,7,6,2,3,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,8,3,2,5,7,6]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,4,8,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,4,8,3,5,7,6]=>[1,2,5,8,3,6,7,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [1,3,8,4,2,6,7,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,4,8,2,3,5,7,6]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [3,4,8,7,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,5,2,8,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,7,1,8,6,2,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,6,8,2,1,5,7]=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [3,8,2,5,6,1,4,7]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,2,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,1,2,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [5,2,1,6,8,3,4,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,6,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,8,1,6,3,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,1,6,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,3,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,4,5,7,3,8,6,2]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,6,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,1,4,7,3,8,5]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,2,5,6,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,1,7,3,8,4,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,6,3,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,2,7,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,7,2,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,4,8,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,8,5,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,5,7,8,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,4,7,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,6,1,7,8,4,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,6,7,4,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,4,6,3,5,7]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,4,6,2,5,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [1,5,7,4,3,6,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,4,5,3,6,2,7]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,3,4,7,2,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,4,6,3,7,5]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,5,4,6,7,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,4,6,2,8,5]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,7,5,2,6,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,5,2,7,1,3,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,5,2,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,5,4,7,1,6,8,3]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,2,3,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,2,4,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,2,3,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,5,2,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [5,3,4,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,3,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,4,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,3,7,8,2,5,6]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [4,2,6,7,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,7,4,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,2,8,6,4,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [3,2,5,6,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,6,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,2,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,6,8,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,8,4,7,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,6,4,7,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,9,4,8,3,7,1,2,6]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [6,9,3,5,8,1,2,4,7]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [6,9,5,8,1,2,3,4,7]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [5,7,9,1,2,3,4,6,8]=>[7,8,9,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>0 [7,9,1,2,3,4,5,6,8]=>[8,9,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [6,10,5,9,2,4,8,1,3,7]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [6,10,5,9,4,8,1,2,3,7]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [7,10,2,4,6,9,1,3,5,8]=>[9,10,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [7,10,4,6,9,1,2,3,5,8]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [4,6,8,10,1,2,3,5,7,9]=>[7,8,9,10,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1]=>1 [4,2,5,6,3,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,2,6,4,8,1,5,7]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [1,6,3,5,2,4,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [3,4,8,2,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,1,5,3,7,6]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [3,4,8,1,6,2,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,4,6,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,6,5,7,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,2,6,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,8,5,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,1,6,3,5,2,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,8,2,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,6,8,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,2,8,5,7,1,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,3,2,5,1,8,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,3,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,3,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,2,8,1,4,6,5,7]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,7,8,5,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,1,8,4,7,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,6,8,4,7,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,6,8,3,2,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,6,1,8,3,2,7,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,8,1,3,2,6,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,8,3,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,8,2,1,3,6,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,1,8,2,3,7,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,6,8,2,3,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,5,1,2,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,2,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,6,2,8,1,3,7,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,2,8,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,6,8,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,6,8,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,5,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,1,2,5,8,3,7,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,1,2,4,3,8,7,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,2,4,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,2,5,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,2,5,4,8,7,1,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,2,4,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,2,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,1,4,2,3,8,7,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,1,3,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,5,3,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,1,3,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,1,5,4,8,7,2,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,1,4,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,4,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,6,5,8,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,5,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,1,5,8,7,2,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,3,5,8,2,7,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,3,6,8,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,5,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,3,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,1,3,4,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,1,3,2,4,8,7,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,2,1,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,2,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,4,5,8,7,1,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,3,1,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,2,1,3,4,8,7,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,1,2,3,4,8,7,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [1,5,6,7,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,8,2,7,1,6,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,2,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,8,6,5,2,1,7,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,5,7,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,1,8,2,6,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,8,5,6,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,7,6,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,7,1,8,5,3,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,7,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,3,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,8,6,1,3,5,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,3,2,4,7,5,6]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,7,2,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,4,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,8,2,1,6,4,5,7]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,6,8,3,2,1,5,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,2,6,8,5,4,1,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,2,6,5,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,8,5,4,1,3,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,1,8,6,5,4,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,3,6,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,3,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,5,4,8,3,7,6,2]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,1,6,4,2,8,5]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,2,7,5,6,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,6,1,2,7,5,8,4]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,6,2,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,2,6,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,2,4,6,1,8,5]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,3,7,2,8,1,4,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,4,8,1,7,6,3]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,1,8,7,5,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,6,8,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,7,4,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,2,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,4,6,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,6,1,3,8,5,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,3,8,4,5,7,2,6]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,6,7,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,8,4,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,7,4,2,8,5,6]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [4,6,1,3,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,8,1,3,6,5,4,7]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,7,3,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,2,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,5,6,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,8,3,4,5,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,2,4,6,5,8]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [3,1,6,5,2,7,4,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [2,8,6,5,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,1,7,5,8,3,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,2,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,4,1,2,5,8,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,2,6,8,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,6,1,8,5,2,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,6,7,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,7,1,6,8,2,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,7,3,6,5,2,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,7,4,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,4,3,5,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,4,2,6,5,7]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,7,3,6,2,5,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,2,7,3,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,2,4,1,6,7,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,5,6,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,6,5,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,2,1,4,6,7,5]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,2,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,1,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,6,2,2]=>2 [2,8,7,3,4,5,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,2,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,1,7,5,6,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,1,5,2,6,4,7]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,7,5,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,5,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,7,5,6,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,5,2,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,6,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,3,6,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,6,5,4,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,2,3,5,4,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,2,5,3,4,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,8,5,1,2,4,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,7,5,1,8,2,6,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,4,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,7,4,8,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,4,8,2,5,7,6]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,8,5,2,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,2,6,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,3,1,5,4,7,8]=>[4,6,3,1,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1]=>2 [6,3,2,1,5,4,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [7,3,1,4,5,2,6,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,1,5,4,2,6,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,1,6,2,5,4,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,1,4,5,2,6,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,6,2,1,5,4,7,8]=>[4,6,3,1,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1]=>2 [2,3,6,1,5,4,7,8]=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,2]=>2 [6,3,4,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,2,5,1,3,7,4,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,2,1,3,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,1,2,4,5,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,2,1,3,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,6,1,3,7,4,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,1,3,5,2,6,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,7,1,5,3,2,6,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,7,1,4,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,3,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,6,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,5,2,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,8,7,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,8,5,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,8,1,2,6,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,4,8,6,1,3,7,5]=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [2,7,8,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,3,8,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,8,4,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,5,4,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [4,1,7,6,3,8,2,5]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,6,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,5,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,1,5,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,2,3,5,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,6,7,5,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,2,5,1,8,3,4,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,6,3,5,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,7,6,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,4,8,7,6,3,5]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [3,2,8,7,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,5,1,6,7,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,1,8,6,7,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,6,3,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,7,5,8,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,3,8,1,4,2,5,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,4,8,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,6,8,2,4,1,7,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,8,1,6,7,3,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,1,6,7,3,5]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [3,4,8,7,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,8,5,7,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,1,4,6,7,2,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,2,8,4,6,1,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [7,4,2,5,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,8,3,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,8,2,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,3,6,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,6,2,5,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,4,3,2,8,7,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,2,8,4,7,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [5,7,4,3,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,8,7,3,5,1,4,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,7,4,3,8,6,5]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,1,3,2,8,7,4,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,8,4,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,7,2,6,5,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,4,8,3,7,2,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,1,6,8,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,7,6,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,6,1,5,2,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [1,5,4,8,3,2,7,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [7,3,6,1,2,5,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,7,1,3,2,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,7,4,8,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,8,2,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [7,4,6,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,6,3,8,5,7,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,2,6,8,4,7,3]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,2,3,8,1,4,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,4,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,1,8,2,4,7,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,8,7,6,2,5,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,4,1,8,7,3,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,1,8,7,2,4,6]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [4,6,1,8,3,7,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,1,2,8,6,3,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,8,7,6,5,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,4,5,2,3,6,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,3,5,2,4,6,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,3,4,2,5,6,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,6,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,7,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,4,2,6,5,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,2,8,4,7,3,6]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,4,2,8,5,7,3,6]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,7,3,5,2,6,4,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,4,7,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,6,2,5,4,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,3,6,2,4,5,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,4,6,2,3,5,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,5,6,2,3,4,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,6,2,4,3,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,8,5,6,4,7]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,4,2,8,5,6,3,7]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,5,2,8,4,6,3,7]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,8,9,6,7,4,5,2,3,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,1,1,1,1,1,1,1]=>4 [1,6,7,8,9,4,5,2,3,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,1,1,1,1,1,1,1]=>4 [1,8,9,4,5,6,7,2,3,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,1,1,1,1,1,1,1]=>4 [1,8,9,6,7,2,3,4,5,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,1,1,1,1,1,1,1]=>4 [1,6,7,8,9,2,3,4,5,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,1,1,1,1,1,1,1]=>4 [1,6,4,7,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,3,5,8,2,6]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,4,8,2,3,6,1,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,6,2,4,5,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,6,2,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,5,3,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,7,4,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,5,3,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,7,3,5,8,2,6]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,5,7,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,5,8,2,3,4,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,7,3,8,2,4,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,7,5,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,6,1,2,3,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [6,5,8,4,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,7,4,8,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,2,8,6,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,1,8,2,3,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,4,8,7,2,3,5,6]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,5,8,7,2,3,4,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [6,5,1,8,2,3,4,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,7,1,3,8,2,4,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,8,7,2,3,5,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,1,8,7,2,3,4,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,7,6,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [9,8,7,6,4,5,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,7,6,4,3,5,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,7,6,3,5,4,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,9,8,7,5,4,6,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,8,7,3,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,9,8,7,4,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,8,7,5,6,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [7,1,4,3,2,5,6,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,1,7,5,8,3,6]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [7,1,4,6,5,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,4,6,5,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,7,1,6,8,2,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,1,7,5,3,6,8]=>[3,6,1,7,5,2,4,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,1,1]=>2 [3,4,1,7,8,6,2,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,4,2,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,2,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,7,2,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,7,2,6,5,1,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,3,2,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,3,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,1,3,5,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,1,2,6,5,7]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,4,7,1,6,2,5,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [3,4,7,1,6,2,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,3,1,2,6,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,8,1,6,3,4,2,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,3,7,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,4,3,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,8,7,4,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,7,3,6,1,5,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,8,3,2,1,6,4,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,7,4,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,7,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,2,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,2,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,5,8,6,1,4,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [4,3,7,8,5,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,7,8,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,2,5,8,3,1,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,2,4,8,3,1,5,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,2,3,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,3,2,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,1,5,8,6,3,7]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,3,7,1,4,8,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,1,5,7,8,2,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,1,8,5,4,6,7]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,5,7,4,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [5,2,7,1,8,4,3,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,1,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,2,1,6,8,5,3,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,6,1,8,4,3,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,6,1,8,3,4,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,1,6,8,3,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,1,6,7,8,2,5]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,1,7,8,6,3,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,1,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,4,6,5,7]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,4,7,6,5]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,1,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,2,1,7,8,3,6,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,2,7,1,8,3,4,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,1,7,8,3,5,6]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,2,1,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [6,3,8,2,4,5,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,3,8,1,5,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,5,3,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,7,4,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,3,7,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,4,2,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [3,5,8,6,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,6,3,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,4,2,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,6,4,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,5,4,1,7,8,6,3]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,8,5,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,5,4,1,6,3,7]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,3,8,5,4,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,6,3,5,4,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,6,4,2,1,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,5,6,4,3,7]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,2,1,8,5,6,3,7]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,5,6,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,3,4,2,1,8,5,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,8,5,6,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,4,2,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [3,8,6,4,2,1,5,7]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,6,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,7,8,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,4,3,7,8,5]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,1,8,4,3,7,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,7,5,8,4,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,7,6,2,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,4,3,6,1,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,6,5,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [6,9,8,5,4,3,2,1,7]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [8,7,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,7,6,9,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [6,4,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [7,10,9,6,5,4,3,2,1,8]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [9,8,10,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10]=>5 [6,5,8,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [9,8,7,10,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10]=>5 [7,5,4,8,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [5,9,8,7,4,3,2,1,6]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [6,4,3,2,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,3,7,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,2,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,3,7,4,2,8,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,6,7,3,4,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,3,4,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,3,2,5,7,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,2,6,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,8,6,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,1,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,1,3,7,5,2,8,6]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,1,7,3,4,2,8,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,2,7,4,3,6,8,5]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,2,8,7,1,5,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,7,8,2,4,5,6,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,3,2,5,7,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,2,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,5,2,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [5,6,1,3,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,7,2,1,3,6,8,5]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,2,3,5,6,7,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,2,1,3,6,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,1,2,4,3,7,8,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,8,1,2,3,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,3,2,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,2,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,7,3,6,2,5,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [4,3,2,8,1,7,6,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,1,8,3,7,2,5,6]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,8,7,3,2,5,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,8,1,2,5,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,7,6,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,2,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,3,6,7,4,1,8,5]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,3,4,7,8,1,5]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,8,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,7,8,4,2,5,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,3,2,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [3,7,8,2,6,4,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,3,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,3,1,8,2,5,7,6]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,2,7,8,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,8,6,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,2,4,8,6,1,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,7,4,8,1,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,3,6,4,7,2,5,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [3,2,4,7,1,8,6,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,7,4,2,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,4,6,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,1,5,8,2,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,6,4,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,7,4,8,2,5,6]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,7,3,8,4,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,6,4,7,1,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,2,6,4,7,5,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,2,5,4,7,8,3]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,5,6,3,7,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,1,5,2,3,6,7]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,4,1,5,2,3,6,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,1,8,4,3,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,8,6,4,3,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,7,5,8,3,6,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,1,6,3,7,5,2,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,6,7,8,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,2,6,4,7,8,5,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,1,6,3,7,8,2,5]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,6,4,8,2,7,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,6,3,8,7,2,5]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,1,7,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,8,5,2,3,7,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,6,8,3,7,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,6,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,5,8,1,4,3,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,5,7,6,8,2,4]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,3,5,7,6,2,8,4]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,3,5,7,2,6,8,4]=>[1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,5,2,7,6,4,8]=>[1,4,7,2,6,5,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,1,1,1]=>2 [1,3,5,7,4,6,2,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,5,4,7,2,6,8]=>[1,6,4,3,7,2,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1,1,1,1]=>2 [1,3,5,4,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,3,5,4,7,2,8,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,3,5,7,4,2,8,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,3,5,7,4,8,6,2]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,7,8,4,6,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,2,7,8,6,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,3,5,7,2,8,6,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,5,7,8,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,6,3,2,7,4,8,5]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,1,6,2,8,7,4]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,1,7,4,3,8,5]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,7,3,5,2,8,6]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,3,7,5,2,4,8,6]=>[1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,5,7,4,3,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,3,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,7,2,3,8,6,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,4,7,3,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,4,6,3,8,2,7,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,3,5,2,8,7,6,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,4,7,3,8,2,6,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,5,1,7,8,4,6,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,2,6,7,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,6,7,8,2,1,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,2,7,8,4,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,5,7,4,8,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,5,1,6,8,4,7,3]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,6,2,1,7,8,3,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,4,6,8,7,1,3]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,3,6,2,8,7,5,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,4,6,3,8,7,2,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,7,2,4,8,6,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,3,8,6,2,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,5,4,7,8,6,1,3]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,6,7,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,7,2,8,6,5,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [5,1,6,8,2,4,3,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,7,8,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,7,8,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,3,1,5,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,5,3,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,2,4,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,2,4,8,1,5,6,7]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,2,4,6,8,1,5,7]=>[6,2,3,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[4,3]=>1 [4,6,7,8,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,8,7,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,7,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,6,8,7,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,7,4,2,8,6,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,8,4,1,7,6,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,7,6,8,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,7,8,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,4,8,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,7,4,1,6,8,5]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,7,8,6,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,7,6,4,2,8,5]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,7,6,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,5,3,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,5,1,8,7,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,5,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,5,8,1,3,7,4]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,5,8,3,1,7,4]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,3,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,3,8,7,1,4]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,8,5,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,6,8,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,8,5,3,7,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,5,3,1,7,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,8,5,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,6,3,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,7,1,5,3,6]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [4,2,8,7,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,4,8,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,2,8,7,5,1,3,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,7,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,4,7,1,8,6,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,5,6,3,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,7,1,4,8,6,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,6,1,3,7,8,5,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,6,7,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,3,2,7,5,4,8,6]=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [6,5,2,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,5,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,7,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,4,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [4,6,2,3,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,2,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,2,3,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,2,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,2,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,2,6,8,4,3,7]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,5,7,2,8,4,3,6]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,5,2,1,8,6,4,7]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [3,6,8,4,2,1,5,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,3,2,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,3,3]=>2 [1,5,8,2,7,4,3,6]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,1,8,2,3,5,7,6]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,3,1,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,8,2,1,5,6,4,7]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,2,1,6,5,4,7]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,8,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,4,6,2,1,5,7]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,3,2,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,5,2,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,4,7,8,1,5,3,6]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [1,8,7,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,8,2,7,4,3,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,7,2,8,4,3,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,3,2,1,8,4,5,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,7,8,4,3,5,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,2,3,4,6,8,5]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,7,6,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,6,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,7,6,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,7,6,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,7,6,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,6,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,4,5,6,7,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,7,3,6,5,8,4]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,7,2,6,5,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,2,7,1,6,5,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,7,1,6,8,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,3,7,2,6,8,5,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [3,2,6,7,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,7,5,6,3,8,4]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,8,7,6,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,6,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,7,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,7,6,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,6,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,6,4,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,7,5,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,7,6,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,4,6,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,7,6,3,5,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,7,2,6,5,1,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,6,1,5,7,2,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,8,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,1,2,5,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,3,6,5,7,8,2,4]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,3,1,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,5,8,3,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,8,1,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,5,2,4,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,7,8,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,8,6,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,8,4,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,6,4,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,8,7,6,5,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,8,7,3,6,5,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,2,8,7,3,6,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,8,7,3,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,5,8,7,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,8,1,7,5,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,6,8,4,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,8,3,7,6,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,4,7,6,1,5]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,8,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,8,4,7,2,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,8,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,2,3,7,6,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,8,4,3,7,6,5]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,8,4,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,8,4,3,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,6,8,4,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,2,8,7,5,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,4,8,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,5,8,7,6,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,5,8,7,2,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,4,8,7,2,6,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,6,4,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,8,2,7,6,3]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,5,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,6,4,8,3,2,7,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,8,3,2,7,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [2,6,5,1,8,7,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,3,5,4,8,7,1,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,3,5,4,8,2,7,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [3,6,5,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,6,5,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,4,2,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,1,4,2,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,6,7,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,8,3,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,8,3,5,4,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,1,2,8,5,3,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,1,2,7,5,3,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,1,3,6,8,4,5]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [7,4,1,2,6,5,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,1,2,7,5,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,8,2,6,5,3,7]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,1,2,8,5,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,8,2,1,5,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,7,3,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,3,2,5,1,4,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,4,2,7,5,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,10,9,8,7,6,5,4,1,3]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,7,6,5,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,8,7,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,2,6,8,1,4,7]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [3,5,2,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,4,5,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,2,4,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,3,4,6,8,2,7]=>[7,2,4,3,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,5,2,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,5,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,6,3,1,7,8,2,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,5,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,7,1,3,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,7,3,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,4,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,4,8,1,3,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,2,6,1,7,8,4]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,7,2,8,1,4,6]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,7,2,4,8,1,5,6]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,4,6,8,1,5]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,2,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,5,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,4,6,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,5,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,3,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,3,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,3,1,4,8,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,7,4,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,7,4,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,3,7,1,4,2,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,3,7,1,4,2,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,5,1,2,8,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,5,1,2,6,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,1,4,3,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,5,7,3,8,4,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,2,5,8,3,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,2,4,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,1,4,6,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,5,6,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,5,3,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,1,8,2,3,4,7,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,8,4,6,7,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,7,8,6,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,5,6,7,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,6,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,4,5,8,1,7,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,7,3,2,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,7,2,3,1,5,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,3,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,1,7,3,6,8,5,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,7,8,4,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,7,8,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,8,7,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,2,8,6,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,7,4,8,6,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,3,7,5,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,3,7,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,4,8,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,2,5,8,7,1,4]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,5,8,7,6,1,3]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,5,7,6,1,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,3,4,6,2,8,7,5]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [4,2,7,3,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,5,6,2,8,7,4]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,2,4,6,3,8,7,5]=>[1,2,5,8,3,7,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2,1]=>2 [4,1,5,3,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,6,1,4,3,8,7,5]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,6,2,4,1,8,7,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,4,2,8,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,6,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,3,2,7,6,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,8,3,1,7,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,5,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [5,2,8,4,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,8,7,1,3,6,5]=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [2,5,8,1,3,7,6,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,3,8,1,4,7,6,5]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,4,1,7,2,8,6,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,5,2,1,7,4,8,6]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [1,6,2,3,8,7,5,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,3,8,7,6,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,2,8,3,7,6,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [7,5,2,6,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,3,7,5,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,4,5,8,6,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,2,6,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,5,3,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,6,4,5,1,3,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,7,2,6,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,8,6,3,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,7,3,6,5,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,3,8,4,7,5,6]=>[2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [3,4,2,7,1,5,6,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [4,7,3,8,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,2,7,3,1,4,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [1,3,7,2,8,4,6,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,4,2,5,8,6,7,3]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,5,3,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,6,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,8,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,7,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,7,6,3,5,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,3,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,4,1,8,5,7,3,6]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,1,7,8,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,4,5,8,3,7]=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [4,6,3,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,7,8,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,2,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,3,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [5,2,3,4,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,3,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,8,6,4,5,1,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,7,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,2,3,4,8,5,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,2,3,4,1,8,5,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,2,8,5,3,4,6,7]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,4,2,3,5,6,7]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,8,5,2,7,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,7,1,2,5,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,8,7,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,8,5,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,7,1,5,6,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,8,7,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,8,6,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,8,6,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,8,6,7,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,8,7,1,5,6,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,6,2,8,4,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,5,7,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,8,3,7,2,5,6,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,7,1,3,5,6,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,3,6,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,7,2,3,6,4,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,2,6,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,3,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,7,6,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,7,3,5,6,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,2,8,6,7,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,6,7,5,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,3,6,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,6,7,3,5,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,3,6,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,2,3,6,5,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,8,5,7,4,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,1,7,6,3,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,8,6,2,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,7,6,4,5,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,7,5,8,4,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,6,8,7,5,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,5,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,1,5,3,8,2,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,8,1,3,6,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,1,3,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,1,4,2,3,6,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,8,1,3,2,4,6,7]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,6,1,3,2,7,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,8,7,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,8,5,4,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,3,7,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,2,6,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,2,5,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,5,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,7,8,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,4,8,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,2,5,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,2,4,1,7,8,5]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,5,2,8,6,3,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,4,2,6,3,7]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,5,1,8,2,3,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,7,1,8,2,6,3,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,1,8,5,2,4,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,2,1,8,4,6,7]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [5,2,6,1,3,4,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,7,1,3,2,5,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,1,4,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,2,6,5,7,3,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,6,1,4,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,2,4,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,2,4,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,2,3,1,5,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,1,6,5,7,3,8]=>[3,7,1,5,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [1,5,2,6,4,7,3,8]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,5,1,6,4,7,3,8]=>[3,7,1,5,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [5,6,2,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,6,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,3,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,3,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,1,4,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,1,3,2,7,4,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,3,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [4,6,5,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,1,3,2,7,5,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [1,4,3,6,2,7,5,8]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,3,1,1,1,1]=>2 [3,4,1,6,5,7,2,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [4,6,5,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,4,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,1,6,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,3,6,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,3,6,2,7,4,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [3,5,2,6,1,7,4,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [3,5,2,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,2,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [2,4,3,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [2,5,3,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,3,6,1,7,4,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [4,6,1,7,3,8,2,5]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,7,1,3,8,6,5]=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [1,5,7,4,3,8,2,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,5,7,3,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,5,7,2,8,3,6,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,7,3,1,8,4,6]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [1,5,7,3,4,8,2,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,3,7,2,8,5,6,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [2,3,1,5,8,4,7,6]=>[3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,4,3,3,3]=>2 [2,1,5,6,8,4,3,7]=>[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,3,1,5,8,6,4,7]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [2,4,7,3,1,8,5,6]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,3,7,2,8,5,4,6]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [2,3,1,6,8,5,4,7]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [4,6,2,7,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,4,5,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,1,7,8,6,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,3,6,2,8,7,4,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [2,1,5,6,8,4,7,3]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,4,1,7,8,5,6,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,3,6,2,8,4,7,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [2,1,5,6,8,7,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,5,7,8,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,4,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,5,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,5,6,8,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,6,3,1,7,5,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,7,1,4,3,8,6]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [4,3,6,1,7,5,2,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,2,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [5,3,2,1,6,4,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,3,1,6,2,7,4,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,6,3,2,7,4,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,1,7,4,2,5,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,6,1,7,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,6,3,7,4,2,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,6,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,3,2,6,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,2,1,6,3,7,4,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,6,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,2,7,4,1,5,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,4,7,1,3,6,5,8]=>[4,5,7,1,2,6,3,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1]=>2 [3,6,1,7,5,2,4,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,1,6,2,7,4,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,6,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,2,1,6,4,3,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,2,1,6,3,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,2,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,1,6,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,6,4,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,1,5,4,3,7,8]=>[3,6,1,5,4,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [3,1,6,2,5,4,7,8]=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,2]=>2 [5,1,6,4,3,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,1,6,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,3,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,8,2,6,5,4,1,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,3,2,1,5,4,6,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,7,2,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,4,2,1,5,6,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,2,6,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,7,2,5,6,1,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,1,4,3,2,5,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,2,6,7,1,5,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [3,7,1,6,5,2,4,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,5,6,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,8,2,5,4,3,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,1,6,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,5,3,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,4,8,2,7,6,3,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,5,8,7,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,2,1,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,7,8,3,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,6,2,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,6,7,3,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,1,8,4,7,6,5]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,7,4,8,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,3,8,2,7,5,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,3,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,1,3,8,6,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,6,4,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,2,8,7,6,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,4,3,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,7,8,5,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,6,2,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,8,2,5,7,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,2,7,8,4,3,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,1,7,8,4,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,6,4,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,7,6,3,2,8,5]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,5,8,2,7,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,5,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,3,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,8,2,7,4,5,3,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,4,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,3,1,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [5,7,2,3,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,2,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,2,7,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,1,6,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,1,5,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,3,5,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,3,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,3,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,1,6,3,4,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,5,6,3,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,6,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,1,4,2,8,5,6]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,1,4,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,6,5,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,2,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,5,4,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,8,3,5,4,7,2,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,2,7,1,8,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,7,2,3,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,3,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,5,3,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,6,3,8,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,1,8,3,6,4,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,2,8,7,4,6,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,2,8,7,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,2,7,3,6,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,8,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,2,3,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,1,8,4,5,6,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,8,3,4,5,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,2,3,1,5,8,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,1,3,8,5,6,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,1,9,4,5,6,7,3]=>[3,9,1,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [2,5,8,3,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,1,8,4,5,3,7]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [1,6,8,4,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,7,8,2,6,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,8,3,6,4,7]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,6,7,4,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,8,6,2,7,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,8,3,4,7,6]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [1,6,7,2,3,5,8,4]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,2,3,5,4,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,5,7,6,2,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,2,5,7,3,6,8,4]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,8,2,3,5,7,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,4,5,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,2,3,4,7,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,2,3,7,4,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,7,6,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,2,3,8,5,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,6,3,8,7,4]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,2,1,6,5,3,8,7]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,6,3,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,6,4,3,8,7,5]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,8,2,1,6,7,3,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,4,6,5,3,7]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,4,8,5,7,3]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,4,8,6,7,3,5]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,6,8,7,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,8,6,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,6,8,4,3,7,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,6,4,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,6,2,1,7,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,3,1,4,6,7]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,8,3,5,1,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,8,4,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,4,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,7,8,6,3,4,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,6,7,1,8,5,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,7,8,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,2,8,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,8,1,5,6,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,7,8,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,2,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,7,5,3,6,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,1,7,3,2,5,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,6,1,8,3,2,5,7]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [4,7,1,8,3,5,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,7,8,6,2,3,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,5,7,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,8,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,8,7,6,2,3,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,1,7,3,5,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,1,6,3,2,5,7]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,1,6,3,2,5,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [6,1,2,3,7,5,4,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,7,3,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,3,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,2,3,5,6,4,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,2,4,3,1,5,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,7,2,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,1,2,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,1,8,6,4,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,4,3,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,2,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,8,1,7,6,4,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,6,2,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,7,3,4,6,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,2,3,5,8,4,7]=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,1,2,3,5,7,4,8]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,2,3,7,6,4,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,2,3,8,6,4,7]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,6,3,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,6,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,2,3,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [4,7,3,2,8,6,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,4,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,7,6,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,7,6,1,8,5,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,2,3,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,2,3,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,1,8,4,5,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,7,8,3,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,3,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,2,3,1,4,5,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,7,4,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,8,2,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,5,2,8,4,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,3,1,4,2,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,7,4,1,8,2,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,3,2,4,5,7,6]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,7,5,6,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,1,8,6,7,5,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,8,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,4,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [5,1,6,8,3,4,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,2,5,1,7,4,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,1,8,7,4,3,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,2,6,3,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,8,3,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,8,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,8,4,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,4,3,6,2,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,3,6,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,4,7,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,2,5,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,3,8,2,5,1,6,7]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,5,1,3,6,2,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,1,5,7,2,8,4]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,8,2,3,7,5,6]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [5,3,8,7,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,8,5,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,4,8,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,2,5,6,3,4,7]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,4,3,5,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,5,2,3,7,4,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,5,3,6,7,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,4,3,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,6,4,7,8,3]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,8,3,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,5,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,6,5,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,5,7,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,5,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,8,4,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,7,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,2,7,5,8,4,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,7,8,5,6,4]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,6,2,4,8,7,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,1,2,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,1,4,2,3,7,8,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [9,8,7,6,5,4,3,1,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,7,6,5,4,2,1,3,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,7,6,5,4,1,3,2,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,9,8,7,6,5,3,2,4]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,8,7,6,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,9,8,7,6,5,2,4,3]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,8,7,6,5,4,2,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [2,1,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [1,2,9,8,7,6,5,4,3]=>[1,2,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,2,3,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,9,2,3,4,5,6,8]=>[8,2,9,4,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>1 [8,1,10,2,3,4,5,6,7,9]=>[9,2,10,4,5,6,7,8,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[2]=>1 [2,4,8,5,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,1,8,5,3,7,6]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [2,4,8,6,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,6,8,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,4,1,5,2,8,7,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,6,2,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,5,6,2,1,7,8,4]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,4,6,2,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,1,6,8,7,2,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,6,1,8,7,2,4]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,3,8,6,7,4,5]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,3,8,6,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,1,8,6,7,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,8,6,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,1,6,7,4,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,6,1,7,3,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,4,8,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,2,4,7,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,3,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,5,4,8,3,6]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,5,4,8,3,6]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,6,3,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,6,1,4,7,3,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,2,7,5,4,8,3,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,2,7,5,4,8,1,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,8,4,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,7,5,4,8,1,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,2,5,4,8,1,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,7,5,4,8,2,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,7,5,4,8,2,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,8,4,7,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,1,8,4,7,3,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,2,4,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,5,4,7,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,3,2,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,4,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,7,3,5,4,8,1,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,4,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,4,2,5,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,6,5,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,2,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,8,2,6,4,1,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,2,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,3,5,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,5,8,6,3,1,4,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,3,5,8,1,4,7,6]=>[5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>1 [2,3,6,8,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,3,7,5,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,7,6,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,8,7,6,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,8,7,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,8,1,6,5,7,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,7,3,6,1,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,3,5,2,1,4,6,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,6,8,1,4,7,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,7,8,6,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,6,1,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,8,6,3,1,4,5,7]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,8,1,3,7,5,6]=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [2,5,8,1,7,3,6,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,1,5,7,3,6,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,8,1,5,7,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,5,8,3,4,6]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,6,3,8,4,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,7,5,8,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,5,1,7,2,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,1,8,7,2,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,8,7,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,4,1,7,2,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,4,1,8,2,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,7,5,3,6,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,4,2,3,6,7,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,7,2,3,6,8,5]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,5,2,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,2,6,7,4,1,8,5]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,8,3,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,2,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,3,1,8,4,5,7]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [2,4,3,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,3,2,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,6,3,1,8,7,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,1,8,2,5,7,3,6]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,8,4,7,2,5,6]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,4,1,5,3,8,7]=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [3,2,7,6,4,1,8,5]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,4,1,7,6,8,3]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,5,1,7,8,3,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,7,5,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,3,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,8,3,1,7,2,4,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,3,1,5,2,4,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,7,1,6,3,5,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,1,7,4,2,6,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,4,2,1,5,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,1,4,7,3,6]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,3,2,1,4,5,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,1,6,2,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,2,1,7,3,4,8,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,2,1,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,2,1,6,5,8,3,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,2,1,8,5,7,3,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,3,2,1,7,4,5,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,1,7,5,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,2,7,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,2,8,6,1,4,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,8,1,7,3,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,8,7,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,5,8,4,7,3,6]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [4,3,1,6,2,7,5,8]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,3,3]=>2 [4,3,1,7,2,8,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,3,2,6,1,7,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,8,6,3,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,5,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,2,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,2,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,2,8,4,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,2,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [6,4,2,7,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,1,7,3,8,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,1,5,4,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,1,3,5,2,8,4,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,8,7,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,6,1,3,4,8,5]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,4,5,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,6,5,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,5,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,5,7,6,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,2,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [5,1,3,2,7,8,4,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,4,2,7,8,3,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [5,3,8,1,7,2,4,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,7,8,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,8,3,1,6,7,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,8,1,2,6,7,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,8,1,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,5,8,3,2,6,7,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,6,2,4,7,5]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [3,2,7,8,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,7,2,1,6,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,1,6,3,4,7,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,5,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,8,1,2,6,4,7]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [5,8,6,1,3,4,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,6,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,6,5,1,7,8,3]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,7,5,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,6,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,4,8,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,8,3,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,5,8,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,4,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,3,1,8,6,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,4,3,1,5,7,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,1,2,3,5,7,6]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,5,4,6,1,7,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,5,1,6,2,7,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,6,4,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,5,8,2,3,7,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,2,6,4,5,8,3,7]=>[1,2,7,5,4,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2,1]=>2 [1,5,2,4,6,8,3,7]=>[1,7,3,4,5,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [3,6,1,5,8,2,4,7]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [2,6,5,1,4,8,3,7]=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>2 [5,2,6,1,4,8,3,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,5,1,8,4,7,3,6]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,7,1,4,3,6,8,5]=>[3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,3,7,5,8,2,4,6]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,5,4,8,1,3,7,6]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>1 [2,4,1,3,8,6,7,5]=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [1,7,3,5,8,2,6,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,2,6,7,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,6,8,7,2,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,7,6,8,2,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,7,2,6,8,3,5]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,1,7,3,5,8,4]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,4,1,2,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,8,1,2,7,4,6]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [3,6,8,1,2,4,7,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,3,8,7,2,6,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,3,7,4,8,2,6,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,6,8,2,3,7,5]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,5,8,1,7,2,4,6]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,6,8,1,7,3,4,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,7,2,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,6,7,3,8,1,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,8,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,7,2,4,1,5,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,2,4,1,5,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,5,1,4,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,3,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,4,1,8,5,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,8,5,2,7,1,6,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,8,7,3,6,4,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,2,1,8,7,3,4,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,1,3,2,7,5,6]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,1,4,7,5,2,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,4,8,5,2,3,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,8,3,2,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,6,4,3,7,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,6,5,3,8,4]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,6,1,3,5,8,4]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,7,6,8,5,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,7,5,3,8,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,4,5,8,3,6]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,5,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,4,7,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,6,4,7,8,3,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,7,4,5,8,1,3,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,3,1,8,4,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,3,6,7,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,4,7,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,6,4,1,7,8,5]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,7,2,1,5,3,8,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,5,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,6,4,7,2,8,5]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,1,3,4,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,2,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [1,6,7,3,8,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,3,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,4,7,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,6,1,5,3,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,6,4,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,8,7,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,3,7,8,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,8,7,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,1,2,7,3,5,6]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,8,7,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,7,8,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,6,8,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,8,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,7,8,1,6,3,5]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,8,3,4,1,5,7,6]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,3,1,8,6,7,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,5,6,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,4,8,5,1,7,3]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,1,3,8,6,7,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,7,5,2,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,2,4,8,6,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,3,2,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,1,7,2,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,8,6,7,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,6,4,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,1,6,5,4,7]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,1,2,5,7,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,8,3,1,2,4,5,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,2,6,8,1,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,1,2,4,7,8,3,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,4,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,6,8,7,4,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,6,8,7,4,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,8,4,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,8,3,7,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,8,2,7,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,8,2,3,6,4,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,6,5,4,8,3,7]=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [2,1,7,8,4,6,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,7,4,3,5,8,6]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [6,1,8,2,3,5,4,7]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,4,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,4,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,8,6,5,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,5,7,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,2,5,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,3,6,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,3,2,1,4,8,5,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,1,6,4,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,8,3,5,6,2,4,7]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,5,6,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,2,8,5,3,7,4,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [6,1,4,8,2,3,5,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,8,2,5,4,7,3,6]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,4,1,2,3,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,4,2,5,3,8,6]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,4,3,6,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,5,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,4,2,3,1,5,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,5,2,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,1,7,4,8,3,5,6]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,2,8,6,1,3,4,7]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,3,1,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,5,2,4,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,3,1,8,2,5,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,8,1,3,5,7,2,6]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,6,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,7,3,1,8,2,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,1,4,7,3,5,6]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [7,4,6,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,8,6,3,2,5,7]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [6,4,2,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,5,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,5,8,6,3,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,7,6,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,5,1,4,8,7,6]=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,5,5,2]=>2 [4,7,1,8,2,5,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,5,4,7,8,1,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,4,3,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,1,7,6,5,8,2,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,7,5,6,8,3,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,2,1,7,6,8,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,8,6,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,6,5,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,5,2,7,6,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,2,6,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,3,5,7,2,8,4]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,6,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,5,1,4,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,6,4,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,6,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,3,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,7,8,3,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,1,5,8,6,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,3,7,8,2,5,6,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [3,1,7,8,5,2,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,3,7,5,8,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,1,7,5,8,2,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,1,3,7,8,4,2,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,2,1,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [4,6,2,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,2,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,5,8,1,7,3,4,6]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [5,2,8,1,7,3,4,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,3,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [5,2,8,3,7,1,4,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,8,4,6,1,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,5,8,4,3,6,7]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [5,8,3,2,7,1,4,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,3,8,2,5,6,7]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,5,8,2,7,1,4,6]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,5,8,2,6,1,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,8,3,7,1,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,1,8,3,7,2,4,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,8,4,6,2,3,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,4,1,6,2,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,8,1,6,2,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,8,1,6,2,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,5,1,6,2,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,5,4,8,3,6,7]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2]=>2 [2,4,3,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,1,8,4,2,5,6,7]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,8,4,2,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,8,4,1,5,6,7]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,4,2,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,8,5,2,7,1,4,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,5,2,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,4,8,5,3,6,7]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [3,2,8,4,1,5,6,7]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,8,4,3,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,6,4,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,1,6,7,5,3,8,4]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,8,4,2,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,7,4,3,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,3,4,8,2,5,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,2,3,4,8,1,5,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,7,6,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,5,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,3,1,4,8,2,5,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,6,3,4,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,4,3,6,5,8,2,7]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [5,1,7,3,4,8,2,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,3,4,7,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,7,5,2,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,3,8,4,6,5,7]=>[2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [1,3,2,8,5,4,6,7]=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,5,6,8,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,5,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,8,7,5,6,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,8,2,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,2,4,8,1,5,3,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,8,2,6,3,7,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [4,2,6,8,1,5,3,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,2,1,8,4,5,3,7]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,2,7,8,5,3,4,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,5,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,4,8,6,5,3,7]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,4,1,8,6,5,3,7]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [4,2,1,8,6,5,3,7]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,7,8,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,7,8,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,7,3,8,5,1,4,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,2,8,5,1,4,7]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [1,2,6,8,4,5,3,7]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [8,6,9,3,7,2,1,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,5,9,4,2,6,7,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,5,9,3,2,6,1,4,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,6,4,8,9,2,5,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,6,3,8,9,2,1,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [10,8,11,6,9,4,7,2,5,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [10,8,11,6,9,3,7,2,1,4,5,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [10,8,11,5,9,4,2,6,7,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [10,8,11,5,9,3,2,6,1,4,7,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [10,8,11,4,9,3,2,1,5,6,7,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [10,7,11,6,4,8,9,2,5,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [10,7,11,6,3,8,9,2,1,4,5,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [10,7,11,5,4,8,2,6,9,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [10,7,11,5,3,8,2,6,1,4,9,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [10,7,11,4,3,8,2,1,5,6,9,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [9,8,6,10,11,4,7,2,5,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [9,8,6,10,11,3,7,2,1,4,5,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [9,8,5,10,11,4,2,6,7,1,3,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [9,8,5,10,11,3,2,6,1,4,7,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [7,1,6,5,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,7,5,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,4,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,6,4,2,5,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,5,3,6,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,6,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,7,5,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,1,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [5,3,8,7,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,6,3,5,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,6,4,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,6,3,2,4,7,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,2,8,7,6,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,5,1,3,8,7,6]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1]=>2 [1,7,5,8,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,2,5,8,6,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,1,8,7,4,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,8,7,5,3,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,6,4,1,3,7,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,8,6,3,2,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,5,2,7,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,1,7,5,8,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,7,4,6,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,5,2,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [3,5,6,2,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [3,5,7,8,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,8,5,7,3,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,7,5,8,3,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,5,8,7,4,3,6]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,1,5,7,8,4,3,6]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [5,1,7,4,8,3,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,2,8,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,2,7,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,2,4,1,6,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,7,2,4,1,6,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,6,2,4,1,7,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,3,4,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,5,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,8,5,4,2,3,7,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,4,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,5,3,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,6,3,8,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,8,4,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,7,4,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,5,8,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,8,5,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,7,5,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,5,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,7,8,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,5,7,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,8,7,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,8,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,8,7,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,6,7,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,8,6,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,7,4,1,3,5,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,4,8,7,1,3,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,6,1,3,2,5,7]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,7,1,4,5,3,6]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,2,1,8,7,3,5,6]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,6,1,8,7,3,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,1,4,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,5,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,2,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,7,6,8,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,2,1,8,6,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,6,1,7,3,5,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,6,3,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,5,1,6,8,2,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,4,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,4,6,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,6,5,4,8,3]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,3,1,8,4,6,2,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,8,1,6,7,4,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,4,3,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,6,1,5,3,7]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,7,3,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,7,4,8,5,2,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,6,2,7,4,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,4,8,5,3,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,6,8,3,7,4,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,8,1,6,4,7,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,1,5,2,8,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,2,8,7,1,4,3,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,7,4,3,8,2,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,1,7,4,8,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,2,1,6,3,8,5]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,2,1,5,3,8,4,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,1,6,2,8,4,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,1,5,2,8,4,3,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,1,5,3,2,8,4,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,3,2,8,4,1,5,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,8,6,1,5,2,7,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,1,5,2,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,1,8,3,7,4,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,1,7,4,8,3,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,2,7,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,1,7,2,6,8,4]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,5,7,2,8,1,3,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,1,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,1,5,2,7,6,3,8]=>[7,2,4,3,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,1,4,3,8,6,7]=>[3,5,1,4,2,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1,1]=>2 [3,7,2,1,5,8,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,4,2,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,3,2,1,7,6,4,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,5,3,8,1,4,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,5,3,6,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,2,6,1,5,4,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,5,6,1,4,3,7]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,4,8,3,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,8,1,4,3,7,6]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [3,6,8,2,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,1,8,3,6,5]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,5,1,8,4,2,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,2,5,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,3,1,8,6,4,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,1,8,4,7,5,2,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,8,7,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,1,7,6,2,3,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,8,1,5,3,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,2,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,7,1,6,3,5,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,6,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,8,4,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,6,4,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,4,2,5,3,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,3,7,5,4,2,8,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [6,1,3,5,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,1,2,5,4,7,3,8]=>[7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,6,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,7,1,5,3,8,6]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [2,3,6,7,4,8,1,5]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,6,7,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,5,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,3,6,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,7,4,2,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,3,6,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,7,4,2,6,3,8,5]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,4,1,2,3,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [6,4,1,2,5,3,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,7,6,5,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,6,5,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,2,6,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,1,6,8,3,5,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,6,5,8,1,4,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,6,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,3,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,7,4,5,8,1,6]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,1,5,2,4,3,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,4,7,5,8,1,6]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,3,7,4,8,6,2,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,7,8,5,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,3,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,6,8,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,2,3,5,6,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,3,1,6,7,5,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,4,1,2,7,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,7,4,1,8,5,6]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,7,8,5,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,5,4,7,6,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,6,8,3,1,5,7]=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [3,7,6,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,6,5,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [2,3,5,8,6,1,4,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [4,2,3,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [6,4,1,2,8,3,5,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,7,1,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,1,5,3,8,7,4,6]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [5,8,3,2,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,7,1,8,3,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,8,2,7,3,5,6]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,2,7,5,3,8,4,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,2,7,1,4,8,5,6]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,8,4,3,7,5,6,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,6,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,7,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,5,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,2,7,1,3,8,5,6]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,2,5,1,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,6,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,1,2,5,8,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,4,1,2,8,5,6]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,4,2,3,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,5,2,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,5,6,1,2,4,7]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,5,8,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,8,1,2,5,7,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,2,4,8,1,6,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,3,8,1,2,5,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [4,6,3,7,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,1,7,8,2,3,6,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,8,1,6,2,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,1,8,5,2,3,4,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,1,7,5,2,3,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,8,2,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,1,2,4,6,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,7,1,2,3,6,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,6,4,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,8,2,7,5,3,6]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [6,1,3,4,7,2,5,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,2,7,5,4,3,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,8,7,5,4,3,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [6,2,3,7,4,1,5,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,8,7,4,1,5,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,7,3,8,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,3,7,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,1,4,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,7,4,1,2,6,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,1,2,6,7,3,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,7,8,2,6,3,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,8,7,6,5,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,2,8,5,4,7,1,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,8,1,5,3,7,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,2,1,6,3,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,6,5,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,8,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,5,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,2,8,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,1,7,4,6,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,7,5,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,6,7,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,1,4,2,8,7,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,8,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,4,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,2,3,1,5,7,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,6,2,1,3,7,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,4,1,8,3,5,6]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,8,4,2,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,1,3,8,2,6,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,4,3,6,2,8,5]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,6,4,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,4,6,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,3,7,5,8,1,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,7,3,6,2,8,5]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,8,3,4,2,6,7,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,2,3,8,5,7,1,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,5,7,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,6,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,3,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,8,6,4,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,4,5,6,2,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,3,5,7,8,1,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,8,6,5,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,1,4,5,3,2,6,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,4,2,6,5,3,7]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,4,8,6,3,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,1,8,4,7,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,8,1,5,7,2,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [7,1,4,2,6,5,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,4,1,6,5,2,7]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,7,5,3,6,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,8,4,5,1,6,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,2,1,5,4,8,7]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [5,4,2,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,2,6,5,1,4,8,7]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [2,5,8,1,7,4,3,6]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [2,6,5,1,8,4,3,7]=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [4,2,7,3,1,8,5,6]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,2,3,7,1,5,8,6]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,1,5,8,4,3,7,6]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [3,2,4,8,1,5,7,6]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,4,8,3,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,8,3,2,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,3,7,2,6,8,5]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,4,8,2,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,5,8,1,7,2,6,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,3,8,1,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,7,6,4,8,3,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,5,4,8,7,3,6]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2]=>2 [2,4,3,8,7,1,5,6]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,4,1,8,6,2,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,8,5,4,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,8,7,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,6,5,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,2,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,2,1,3,4,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,7,6,4,8,5,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,8,7,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,8,3,7,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,4,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,6,3,1,4,7,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,5,2,8,1,4,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,8,4,5,1,3,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,7,3,8,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,8,1,5,6,3,7]=>[4,7,8,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [3,4,8,1,5,2,7,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,8,4,1,2,7,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,2,5,3,6,7]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,7,6,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,2,4,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,4,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,4,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,2,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,2,6,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,5,2,7,6,1,4,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,7,5,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,5,1,4,8,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,1,2,6,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,7,2,1,6,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,3,7,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,1,4,6,2,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,1,4,2,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [3,5,7,2,1,4,6,8]=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,2,1]=>1 [3,5,2,7,1,4,6,8]=>[5,6,3,7,1,2,4,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[7,3,1]=>2 [3,5,2,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [3,5,7,4,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [3,5,7,4,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [3,5,4,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [3,5,4,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [3,5,4,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [3,5,4,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,5,4,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,5,7,4,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,7,4,2,1,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,5,7,1,4,8,6]=>[5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>1 [3,5,2,7,1,4,8,6]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>1 [3,5,7,2,1,4,8,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [3,5,7,1,4,2,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,5,2,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,2,5,1,8,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,7,5,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,5,1,8,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,7,2,5,1,8,4,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,5,2,1,8,4,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,7,5,8,4,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,3,6,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,3,4,7,5,6]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,1,7,2,4,8,3,6]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,2,6,7,1,8,5]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,5,8,7,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,4,5,6,7,9,2,8]=>[1,8,3,4,5,6,9,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[6,1,1,1,1,1,1,1]=>3 [2,3,4,5,6,7,1,9,8]=>[7,2,3,4,5,6,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [2,1,4,5,6,7,8,9,3]=>[2,1,9,4,5,6,7,8,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [3,1,4,5,6,7,8,2,9]=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [3,2,7,6,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [3,2,8,7,6,1,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,5,8,1,7,3,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,8,2,4,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,6,8,1,5,4,7]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [3,2,8,6,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,6,8,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,6,7,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [3,2,8,5,7,1,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,5,7,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,1,8,7,4,3,6]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [4,1,8,2,3,7,6,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,1,8,5,3,4,7,6]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,6,8,3,4,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,8,2,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,5,7,4,8,1,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,5,6,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,2,7,8,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,5,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,2,8,6,5,7,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,1,6,8,7,2,4]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,8,7,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,3,5,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,2,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,5,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,3,2,7,4,6,8]=>[1,6,4,3,7,2,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1,1,1,1]=>2 [5,7,3,2,1,4,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,7,3,2,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,7,2,5,4,1,6,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,1,3,2,4,7,6,8]=>[5,2,4,3,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [7,1,3,2,5,4,6,8]=>[7,2,4,3,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,5,1,4,6,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [5,7,3,1,2,4,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,3,2,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,3,2,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [5,3,2,1,4,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [5,3,2,1,7,4,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [1,3,7,2,5,4,6,8]=>[1,4,7,2,6,5,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,1,1,1]=>2 [7,3,1,2,5,4,6,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,1,2,7,4,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [5,3,1,2,4,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [7,3,1,5,2,4,6,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,7,5,2,4,6,8]=>[1,5,7,6,2,4,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [7,5,1,3,2,4,6,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,1,3,2,4,6,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,1,7,5,2,4,6,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [7,1,5,3,2,4,6,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,3,2,4,6,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,9,2,4,5,6,7,8]=>[1,4,9,2,5,6,7,8,3]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,1,1,1]=>3 [1,9,8,7,6,2,5,4,3]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [3,9,8,7,6,5,2,1,4]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [1,10,9,8,7,6,5,2,4,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,10,9,8,7,6,2,5,4,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,8,7,4,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,1,7,6,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,10,1,9,8,7,6,5,4,3]=>[3,10,1,9,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,10,9,8,7,6,5,2,1,4]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [1,11,10,9,8,7,6,5,2,4,3]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1]=>5 [1,9,8,7,6,3,2,5,4]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,11,10,9,8,7,6,2,5,4,3]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1]=>5 [1,9,8,7,4,2,6,5,3]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [4,9,8,7,6,3,2,1,5]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [2,8,1,4,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,8,7,4,3,2,6,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,3,6,8,5,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,1,4,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,7,5,4,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,4,8,1,3,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,5,4,8,6,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,5,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,4,2,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,2,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,5,6,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,6,4,8,7,2,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,4,1,8,7,2,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,4,3,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,6,4,2,8,5,3,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [2,6,4,3,8,1,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,4,5,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,4,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,6,4,5,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [3,4,6,8,7,2,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,6,8,2,1,7,4]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,1,5,3,7,8,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,2,5,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,5,6,8,1,7,2,4]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,5,6,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,3,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,1,3,5,2,7,8,6]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,5,7,1,8,4,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,5,3,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,5,3,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,6,1,7,4,5,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,6,2,1,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,4,7,6,5,2,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,2,7,1,5,8,4]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,6,2,7,1,3,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,5,7,1,8,2,6,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,1,7,2,5,8,4]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,1,7,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,6,2,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,2,4,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,6,2,3,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,4,1,5,8,3,7]=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1]=>2 [2,8,1,6,7,4,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,6,1,4,7,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,1,6,4,7,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,1,4,8,5,3,7]=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1]=>2 [6,4,5,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,3,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,3,3]=>2 [4,2,3,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [4,2,3,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,2,8,3,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,4,8,1,3,6,7,5]=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [2,4,1,8,3,6,7,5]=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1]=>2 [2,1,4,8,6,3,7,5]=>[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [2,6,8,4,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,8,1,4,5,7,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,6,8,4,5,7,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,1,4,6,7,3,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,7,5,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,5,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,3,7,1,8,4,6]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [5,2,8,3,1,4,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,1,4,3,6,2,7]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,5,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,3,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,6,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,5,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [3,4,7,6,8,1,2,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,2,4,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,5,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,8,2,3,6,5,7,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,2,8,3,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,3,8,4,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,6,2,7,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [1,5,3,7,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,7,8,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,6,7,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,8,5,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,5,6,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,8,1,7,6,2,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,4,6,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,6,3,1,4,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,4,3,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,2,7,8,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,2,8,7,6,3,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,7,6,3,1,5,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [6,3,1,7,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,7,6,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,2,7,6,4,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,5,2,4,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,2,7,5,3,6,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,5,2,1,3,6,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,7,6,5,8,2,4]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [6,4,7,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,1,4,7,5,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,2,5,7,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,4,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,7,4,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,6,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,4,7,5,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,5,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,7,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,7,3,5,2,6,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [5,7,4,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,6,3,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,5,8,1,6,7,3]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,7,3,5,2,6,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [6,1,3,7,4,2,5,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,6,8,2,7,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,1,3,8,2,5,4,7]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,2,3,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,6,8,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,7,3,8,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,8,5,2,4,3,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,8,1,6,2,3,7,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,3,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [5,2,7,1,3,6,4,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,3,1,2,5,7,6]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,1,3,4,2,8,5,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,2,4,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,6,5,3,1,7,8,4]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,4,3,6,8,2,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,3,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,5,7,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,5,3,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,5,3,8,4,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,1,4,7,5,8,3,6]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [1,4,8,7,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,7,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,7,8,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,7,8,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,1,7,8,2,6,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,7,3,8,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,3,8,2,6,5,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,4,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,1,8,2,7,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,8,3,5,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,4,8,5,3,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,5,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,7,8,4,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,7,5,8,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,7,8,4,5,3,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,7,8,2,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,7,1,3,6,8,2,5]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,6,4,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,7,5,6,8,2,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,6,5,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,5,4,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,6,7,4,2,8,5]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,6,3,2,7,8,5]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,7,8,6,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,2,6,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,5,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,8,4,6,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,7,8,2,1,6,5,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,1,2,3,7,5,6]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,2,3,6,5,4,7]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,6,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,5,4,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,5,1,6,4,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,4,6,1,3,7]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,5,4,6,3,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,5,4,6,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,4,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,5,8,4,7,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,3,7,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,2,7,8,3,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,4,3,7,1,8,5]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,4,1,7,8,3,5]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,4,8,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,8,4,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,8,1,6,7,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,7,2,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,7,1,5,2,8,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,7,1,6,2,8,5]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,7,8,6,3,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,2,8,3,5,1,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,6,8,3,7,4,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,3,5,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,7,5,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,4,7,8,1,6,3]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,6,7,8,1,5,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,6,8,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,7,6,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,6,8,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,3,6,2,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [3,6,4,2,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,8,3,4,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,4,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,4,8,1,6,7,3]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,2,6,5,8,7,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,2,8,4,6,7,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,7,4,6,8,3]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,2,8,3,6,7,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,1,2,7,3,6,8,5]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [5,8,1,2,3,4,7,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,8,2,4,5,7,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,7,4,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,2,4,5,3,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,2,4,5,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,7,4,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,5,7,2,6,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,7,1,8,6,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,3,8,5,2,4,6,7]=>[1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,6,7,1,8,4,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,8,3,1,4,2,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,4,2,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,1,8,5,6,3,7]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [1,6,2,7,8,5,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,4,1,7,5,3,6]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,2,8,7,1,5,3,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,6,7,8,4,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,4,8,5,6,2,7]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,6,7,8,9,2,3,4,5]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [6,7,8,9,1,2,3,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [6,7,8,1,2,3,4,5,9]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,7,8,9,2,3,4,5,6]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,7,8,9,10,2,3,4,5,6]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [6,7,8,9,10,1,2,3,4,5,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10]=>5 [5,6,7,8,9,1,2,3,4,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [5,6,7,1,8,2,3,4,9]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,6,7,8,2,9,3,4,5]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,6,7,8,9,10,2,3,4,5]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,7,8,9,10,11,2,3,4,5,6]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1]=>5 [5,7,6,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,1,3,2,7,4,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,4,8,2,3,7,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,7,8,2,3,5,6,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,3,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,3,2,8,4,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,2,1,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [4,1,2,8,5,3,6,7]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,7,4,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,8,2,6,1,7,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,6,1,5,2,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,6,2,5,8,4,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,5,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,6,5,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,6,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,1,5,8,4,3,6]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,6,1,8,4,3,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [7,1,2,6,3,5,4,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,6,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,3,1,2,6,8,5]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,6,1,5,8,2,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,7,5,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,7,1,3,8,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [5,2,1,4,7,8,3,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,7,6,8,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,8,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,8,6,4,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,5,8,6,4,1,7,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,2,3,1,6,8,5]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,4,6,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,3,8,2,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,6,2,5,3,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,8,3,6,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,4,6,8,9,7,5,3]=>[1,2,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [2,1,7,5,8,6,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,3,6,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,2,4,5,1,8,6,7]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,2,5,1,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,4,1,3,8,6,7]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1]=>2 [1,4,5,3,8,2,6,7]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [5,1,8,2,4,3,6,7]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,5,4,8,2,3,6,7]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [3,5,1,4,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,8,3,1,6,7,2,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,2,4,8,7,1,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,2,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,2,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,6,8,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,3,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,7,4,8,5,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,8,4,3,5,6]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,6,3,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,6,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,7,6,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,5,7,8,3,6,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,8,6,7,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,8,3,2,5,4,7]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,6,8,1,5,4,7,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,5,4,7,6,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,7,6,5,1,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,8,4,6,3,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,1,7,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,6,4,8,1,5,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,2,5,3,8,6,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,8,4,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,8,3,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,2,8,4,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,5,1,8,3,6,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,7,2,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,1,3,2,4,8,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,8,3,2,5,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,7,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,6,2,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,8,2,6,1,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,5,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,6,5,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,6,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,3,4,5,2,8,6]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,2,1,3,5,6,7]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,2,5,4,3,8,6]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,3,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,5,7,4,3,8,6]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [1,5,8,7,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,7,4,6,8,3,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,7,2,4,6,8,3,5]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,2,7,3,5,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,8,3,5,7,6,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,5,8,1,7,6,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,1,3,6,7,5,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,1,5,6,7,8,9,10,3]=>[3,10,1,4,5,6,7,8,9,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,7,3,6,2,5,4,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>3 [4,8,3,7,6,5,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>3 [4,8,1,7,5,3,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,5,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,6,5,8,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,7,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,7,5,3,1,4,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,3,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [2,4,7,8,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,4,7,8,5,3,6]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,7,3,1,4,6,8,5]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,3,1,6,5,7,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,5,6,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,8,1,4,6,7,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,8,7,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,7,2,8,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,5,2,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,1,5,7,6,3]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,8,4,2,5,7,6,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,4,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,8,3,7,1,6,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,5,2,4,7,6,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,2,8,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,6,1,8,7,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,4,5,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,8,2,7,6,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,6,8,7,5,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,8,2,4,5,7,6,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,3,5,7,6,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,8,2,5,7,6,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [2,3,8,1,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,6,1,8,7,5,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,8,7,5,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,8,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,3,8,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,1,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,8,2,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,8,1,4,5,7,6,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,3,6,8,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,6,8,7,2,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,4,5,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,4,5,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,1,4,5,2,3,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,8,4,6,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,1,6,5,3,8,4,7]=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [5,6,8,1,4,2,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,4,8,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,8,1,2,6,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,5,8,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,1,6,2,4,8,5]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,6,5,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,5,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,8,7,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,2,4,6,8,5]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,2,7,8,4,6,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,8,6,2,5,7,3,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,1,2,8,4,6,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,5,8,7,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,9,3,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,3,4,5,6,7,8,9,2]=>[1,10,9,4,5,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,7,4,8,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,6,1,4,2,7,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,4,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [6,4,7,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,2,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [6,3,2,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,1,8,3,5,4,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,5,2,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,4,8,6,3,7,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,2,5,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,1,3,2,4,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,5,1,3,7,8,6,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,3,7,2,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,6,7,2,1,3,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,6,2,3,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [3,6,4,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,1,6,4,7,5,2,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,2,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,7,5,3,6,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,7,3,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,5,7,2,3,1,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,8,7,4,1,3,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [5,4,7,1,3,2,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,3,6,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,2,1,7,4,3,8,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,7,6,2,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,6,1,8,7,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,6,8,7,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,4,1,5,6,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,6,7,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,9,1,2,3,4,5,7,8]=>[7,9,3,4,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,8,5,2,7,4,6]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,8,6,7,2,4,5]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,8,3,7,6,1,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,7,8,6,1,3,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,8,7,6,2,4,5]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,5,8,6,1,2,7,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,6,8,7,1,3,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,6,8,7,2,3,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,5,3,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,8,4,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,5,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,7,4,6,1,3,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,6,4,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,2,5,3,8,6,7,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,8,2,5,6,7,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,8,6,7,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,3,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,8,6,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,8,7,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,4,7,8,1,3,6]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [6,3,2,8,5,4,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,1,5,2,8,6,7]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,8,4,1,5,2,6,7]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,4,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [2,5,7,4,3,1,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,3,4,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [3,7,5,4,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,3,5,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [5,3,4,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [4,1,6,3,5,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,2,1,8,6,3,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,7,5,4,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,7,2,4,1,6,5,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [7,3,2,1,6,4,5,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,6,1,7,4,3,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,4,6,1,3,7,8]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [2,5,6,4,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [7,1,5,6,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,2,5,4,6,3,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,1,6,5,3,7,8]=>[3,6,1,5,4,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [4,1,2,7,5,6,3,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,2,6,5,4,3,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,5,1,6,4,7,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,1,4,5,3,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,1,6,5,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,1,4,6,5,2,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,1,5,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,8,6,3,7,5,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [6,3,8,5,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,3,8,4,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,3,1,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,1,3,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,1,3,4,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,2,1,4,3,8,6,7]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,2,7,3,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,3,2,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,1,2,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,3,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,4,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,2,3,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,5,2,8,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,1,7,8,2,5,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,3,7,4,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,2,8,6,5,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,5,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,1,4,8,3,7,5,6]=>[2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [4,8,1,6,7,3,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,7,8,4,3,6,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,8,1,4,3,2,7,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,3,5,6,2,7]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,2,6,5,8,7,3]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,6,4,8,7,5]=>[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,5,2,6,4,8,7,3]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,5,3,8,7,4]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,1,4,3,8,7,6]=>[3,5,1,4,2,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1,1]=>2 [1,7,3,5,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,3,7,5,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,6,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,6,4,8,5,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,6,3,8,5,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,7,4,8,6,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,8,5,7,6,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,1,3,2,6,5,7]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,5,3,8,4,7,6,2]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,7,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,3,8,1,5,4,7]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [4,8,7,3,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,8,7,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,5,3,1,2,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,7,5,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,8,7,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,7,1,3,6,4,5]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,8,6,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,2,7,8,4,1,3,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,8,6,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,8,3,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,6,3,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,5,2,6,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,5,2,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,2,6,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,5,3,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,1,7,8,6,4,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,1,7,6,2,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,5,8,2,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,5,2,4,8,3,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,5,6,3,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,5,8,7,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,7,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,2,8,1,5,4,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,6,1,5,8,4,7]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2]=>2 [1,7,8,3,2,6,5,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,8,3,2,6,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,4,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,5,4,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,7,4,5,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,2,3,4,5,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,6,2,3,4,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,5,7,2,3,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,5,6,2,3,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,2,8,6,4,5,7]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,7,5,8,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,5,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,5,8,6,3,7,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,8,4,6,1,7,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,3,8,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,5,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,4,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,8,1,7,6,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,6,4,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,4,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,8,3,5,6,7,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,4,6,1,8,3]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,7,4,6,1,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,7,4,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,6,1,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,6,4,1,5,7,8,3]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,1,6,5,7,8,3]=>[3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,2,7,5,3,1,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,6,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,6,3,8,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,6,3,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,8,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,3,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,5,3,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,3,7,5,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,7,5,2,6,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,5,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,3,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,2,8,6,4,5,7,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,5,3,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,9,4,3,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [3,2,6,4,1,8,5,7]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [2,8,6,5,3,1,4,7]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,8,6,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,7,5,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,2,8,7,5,1,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,8,5,4,2,7,3,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,5,1,4,7,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,10,1,2,3,4,5,6,8,9]=>[8,10,3,4,5,6,7,1,9,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>1 [7,4,6,1,3,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,8,3,6,1,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,7,5,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,6,8,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,2,1,8,6,4,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,1,9,8,6,7,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [2,1,9,8,6,5,7,4,3]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [2,1,9,8,5,7,6,4,3]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [2,1,10,9,8,6,7,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [1,8,7,6,5,4,3,2,9]=>[1,8,7,6,5,4,3,2,9]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,1,1,1,1,1,1]=>3 [1,9,8,7,6,5,4,3,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,1,1,1,1,1,1,1]=>4 [1,8,5,4,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,3,2,6,7,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,3,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,8,4,3,2,7,6,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,7,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,3,2,7,5,6]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,3,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,8,4,3,2,5,7,6]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,4,2,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,3,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,3,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,1,8,6,4,5,7,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,8,2,5,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,3,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,8,3,7,2,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,2,8,4,5,1,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,1,8,4,6,2,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,2,6,5,8,3,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,8,3,2,6,7,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,2,7,5,8,1,3,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,2,7,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,1,3,8,2,5,7]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [4,3,6,2,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,7,4,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,4,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [7,2,4,5,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,1,6,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,7,5,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,2,6,5,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,3,6,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,6,8,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,7,4,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,8,4,1,6,2,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,8,1,4,7,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,4,1,6,3,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,8,3,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,5,6,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,3,7,4,8,2,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,3,4,7,8,2,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,7,8,3,4,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,6,8,2,3,4,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,2,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,7,4,5,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,1,4,5,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,1,6,3,4,7]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,1,3,7,5,2,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,1,4,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,3,8,5,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,5,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,8,5,3,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,5,7,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,5,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,8,5,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,7,8,4,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,7,5,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,5,7,2,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,2,3,6,7]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,8,2,7,4,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,7,5,8,3,6]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,8,2,3,6,7,5,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,8,2,7,5,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,6,5,4,3,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,8,3,4,5,6,2,7]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,6,2,4,5,7]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,8,4,5,3,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,2,8,4,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,7,3,2,6,8,5]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,5,7,3,6,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,4,8,3,7,6]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2,1]=>2 [1,4,3,5,8,2,7,6]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,5,3,7,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,5,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,5,7,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,8,6,4,7,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,6,8,5,4,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,5,1,3,7,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,1,8,4,6,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,5,6,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,5,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,5,8,6,7,1,3]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,7,6,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,1,5,8,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,4,5,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,6,4,7,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,4,7,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,4,6,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,5,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,6,5,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,6,5,3,7,8,4]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,6,2,5,4,8,3,7]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [4,1,2,7,5,8,3,6]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,1,3,5,8,2,4,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,6,4,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,2,3,5,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,7,4,1,8,3,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,7,4,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,6,7,4,3,8,5]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,5,7,3,1,4,8,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [1,2,6,7,4,3,8,5]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,7,1,8,4,6,3,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,5,8,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,5,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,7,4,6,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,3,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,5,6,7,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,4,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,7,3,5,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,6,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,8,7,6,4,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,8,7,5,4,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,7,6,5,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,1,6,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,1,6,5,3,2,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,1,8,6,3,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,1,7,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,1,8,5,3,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [7,4,1,6,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,6,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,6,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,6,1,4,3,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,7,5,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,6,3,4,2,5,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,6,4,5,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,1,6,4,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,1,6,4,5,7,2,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,7,8,1,4,3,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,6,3,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,2,3,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [5,2,3,4,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,4,7,8,5,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,6,7,1,4,2,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,7,5,8,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,7,5,3,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,1,4,6,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [6,3,5,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,2,6,4,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,7,8,4,6,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,1,2,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,7,2,8,4,3,5,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,5,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,4,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,2,1,5,7,8,3,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,5,3,7,8,2,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [7,1,5,4,6,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,4,7,6,3,8,5]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [5,2,4,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [6,1,5,4,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,2,8,7,4,3,6,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,3,6,4,7,8,2,5]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,5,1,3,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,3,1,7,8,4,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,6,4,3,7,8,2,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,6,4,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,4,6,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,6,3,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,8,4,5,7,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,7,5,2,4,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,7,8,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,8,5,1,7,3,6]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,8,3,5,1,6,4,7]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,5,3,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,8,3,2,5,1,6,7]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,4,6,2,7,5,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,4,6,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,3,1,2,5,6,4,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,8,5,2,6,3,7]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,8,5,3,2,6,4,7]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,4,1,3,2,5,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,2,8,4,3,6,7,5]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,3,2,4,6,7,5]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,4,5,3,8,6]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,5,8,6,1,4,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,4,2,7,6,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,1,8,7,3,6,5]=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1]=>1 [3,5,1,7,8,2,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,3,6,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,7,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,6,2,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [4,5,7,2,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,2,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,6,3,4,7,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,7,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,3,2,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,7,3,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,8,3,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,6,2,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,7,2,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [7,5,3,1,8,6,4,2,9]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [4,6,3,2,1,8,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,5,8,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,7,4,8,6,1,5]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,8,4,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,3,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,3,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,5,4,8,6,1,7]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,8,6,5,4,1,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,8,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,1,4,8,7,2,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,1,3,6,7,5]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,8,3,6,7,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,3,7,4,6,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,6,7,2,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,8,2,5,4,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,6,8,3,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,8,2,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,7,4,5,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,8,3,7,1,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,1,5,7,8,2,4]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,2,5,4,7,1,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,6,2,5,1,7,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,5,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,5,2,3,4,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [5,7,3,1,2,4,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,3,2,5,1,7,4,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,2,4,8,5,3,7]=>[7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,7,2,8,5,1,4,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,5,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,5,8,1,7,2,4]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,7,3,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,5,8,6,4,7,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,8,6,7,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,1,7,6,3,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,7,5,3,4,8,6]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,8,2,5,3,4,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,8,1,2,5,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,2,8,7,3,4,6,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,8,1,5,7,2,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,7,8,3,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,8,5,7,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,6,8,5,3,4,7]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [1,2,6,8,5,3,4,7]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,5,8,6,2,4,3,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,1,8,6,2,4,3,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,2,4,8,6,7,3]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,2,6,8,7,3]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,6,3,4,1,7,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,2,3,5,8,6,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,2,3,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,8,3,7,5,1,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,2,3,7,5,6,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,4,3,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,7,8,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,2,8,5,3,7,6]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,8,4,2,5,1,7,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,5,6,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,3,5,6,4,1,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,8,1,6,4,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,1,4,5,3,8,6]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,2,7,4,3,6,8]=>[1,6,3,7,5,2,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,1,1,1,1]=>2 [5,1,3,8,4,6,2,7]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,3,5,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,6,5,2,7,4,8]=>[1,5,7,4,2,6,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [1,7,2,5,6,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,4,8,3,5,6]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,2,4,3,5,7]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,7,2,5,3,4,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,2,8,3,6,7,4,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,2,5,3,4,8,6]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,4,5,6,7,8,10,2,9]=>[9,2,3,4,5,6,7,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>3 [4,1,3,7,2,5,8,6]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,7,5,6,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,6,1,2,4,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,1,5,3,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,7,5,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,3,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,4,6,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,5,4,8,3,6,7]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,4,2,2,2,2,1]=>2 [3,5,4,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,6,4,7,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,8,5,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,5,8,4,7,1,3,6]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,5,8,7,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,8,5,7,2,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,7,4,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,5,4,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [6,2,5,1,4,8,3,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,5,4,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,3,5,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,3,8,7,4,2,6,5]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,4,1,8,5,7,6,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,8,4,2,3,7,6,5]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,2,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,8,3,7,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,1,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,2,8,7,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,3,4,8,7,2,5,6]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [3,4,8,2,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,8,2,5,1,7,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,1,5,7,6,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,1,8,2,7,5,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,8,4,7,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,4,7,6,8,1,5]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,8,1,2,5,6,4,7]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,4,1,6,3,5,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,8,6,4,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,8,6,5,2,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,2,4,1,5,7,6]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,8,3,2,4,1,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,5,3,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,2,4,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,7,1,6,8,3,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,2,8,1,7,3,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,7,5,2,8,6,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,6,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,7,2,1,4,3,8,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,7,5,8,3,6,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,7,4,8,1,5,6,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,5,3,7,2,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,4,8,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,6,3,8,2,4,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,5,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,6,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,5,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [6,4,7,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,2,6,8,3,7,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,7,5,2,4,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,6,1,8,7,3,5]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [2,4,3,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,6,3,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,6,5,8,7,1,3]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,6,8,5,7,1,3]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,6,8,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,6,8,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,4,6,5,1,8,7,3]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,6,5,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,6,8,5,1,7,3]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,6,8,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,6,8,7,1,3,5]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,4,6,8,5,1,3,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [2,4,6,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [2,4,6,5,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [2,4,6,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,4,6,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,4,6,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,6,8,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,6,8,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,5,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,6,5,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,5,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [3,8,7,6,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,7,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,6,2,7,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,2,3,7,4,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,8,2,7,4,5]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,4,3,8,2,5,6,7]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,7,2,3,8,5,4,6]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,4,2,5,6,7]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,7,2,3,8,6,4,5]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,2,5,6,3,7]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,7,3,2,8,4,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,2,7,3,6,8,4,5]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,2,3,6,8,4,5]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,3,2,5,6,7]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,7,2,5,8,3,4,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,9,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [2,6,4,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,6,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,7,5,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,7,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,3,4,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,5,6,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,6,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,5,2,8,6,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,7,2,5,8,6,4]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,5,3,7,4,6,2,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,3,7,6,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,3,6,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,6,3,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,7,6,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,6,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,5,6,2,8,4]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,5,7,4,1,3,8,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [4,6,3,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,6,4,1,8,7,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,5,7,3,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,5,1,8,3,2,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,7,4,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,1,2,4,8,7,5]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,3,8,4,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,7,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,8,4,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,3,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,7,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,6,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,8,4,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [6,8,2,5,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,5,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,3,1,2,5,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,6,2,3,1,5,7]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,5,4,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,3,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,7,4,1,8,2,6,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,4,1,7,6,2,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,2,1,8,4,6,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,2,1,7,6,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,5,4,7,3,6,2,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,3,6,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,7,8,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,5,6,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,6,8,4,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,5,7,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,8,4,2,7,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,2,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,7,8,6,1,3,5]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,6,2,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,1,5,6,3,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,6,7,5,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,1,6,7,5,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,4,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,6,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [3,7,6,2,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,3,8,1,6,5,2,7]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,6,5,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,4,5,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [6,4,1,3,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,4,1,7,2,6,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,4,7,5,8,1,3,6]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,7,6,2,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,4,6,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,7,2,8,1,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,7,1,3,5,8,4]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,6,7,1,8,2,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,1,8,7,2,6,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,5,7,2,8,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,8,1,4,7,2,6,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,3,2,7,6,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,8,3,2,7,6,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,3,8,1,2,7,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,3,8,2,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,8,4,2,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,4,3,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,2,4,7,1,6,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,4,8,7,1,6,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,2,5,7,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,2,8,3,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,8,2,1,3,7,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,2,8,1,3,7,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,6,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,5,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,5,1,4,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,1,7,8,5,2,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,1,8,5,2,7,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,8,5,4,2,7,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,5,1,3,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,1,3,2,4,7,8,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,3,7,8,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,4,8,6,2,7,5]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [3,8,2,5,4,1,6,7]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,7,2,3,6,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,3,4,1,5,6,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [1,4,8,5,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,5,6,1,7,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,7,4,5,1,6,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,8,5,2,6,7,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,6,4,3,2,7,8,5]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,3,6,8,4]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,2,4,1,8,6,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,7,8,5,1,3,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,5,3,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,7,4,5,6,2,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,8,3,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,7,2,4,6,5,8]=>[1,4,7,2,5,6,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,1,1,1]=>2 [1,8,3,7,4,2,5,6]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,4,3,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,7,4,1,5,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,6,5,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,8,6,7,4,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,8,6,7,2,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,6,2,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,2,1,7,6,3,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,3,6,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,5,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,2,6,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [7,6,1,5,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,6,3,5,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,7,3,5,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,5,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,3,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,6,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,7,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,8,2,5,4,7,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,2,7,5,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,3,2,6,8,5]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,6,2,8,5,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,7,6,2,8,4,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,8,4,3,7,6]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,2,8,4,3,6,5,7]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,5,6,3,4,7]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,3,5,2,8,6,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,2,5,8,4,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,3,2,7,4,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,6,4,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,6,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,2,6,5,4,7]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,7,6,3,8,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,7,6,4,8,3]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,8,7,2,5,6]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,3,8,6,2,4,5,7]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,8,5,4,2,6,7]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,7,2,4,8,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,3,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,8,7,5,4,6]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,2,8,6,5,4,3,7]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,8,3,1,2,6,4,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,1,7,5,2,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,1,5,2,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,5,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,7,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,1,7,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,6,4,2,9,7,5,3]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [9,7,5,3,1,8,6,4,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,6,4,2,1,7,5,3,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,7,5,3,1,6,4,2,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [7,5,3,2,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,6,4,3,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,9,7,5,3,2,8,6,4]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,8,7,6,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,9,8,6,4,2,7,5,3]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,8,6,4,2,9,7,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,4,8,6,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,6,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,6,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,7,4,5,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,2,6,4,3,5,7]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,6,4,3,5,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,2,5,4,6,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,7,6,8,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,8,7,3,4,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [8,6,5,4,3,2,1,7,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [9,7,6,5,4,3,2,1,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [2,4,8,7,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,5,1,4,3,8,7]=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [6,5,1,2,4,3,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,5,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,8,7,5,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,4,8,7,3,6,5]=>[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [4,8,7,3,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,7,3,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,1,6,5,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,8,7,3,4,6,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,7,1,4,3,6,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,7,3,4,1,6,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,8,7,3,1,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,8,7,3,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,3,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [4,3,1,2,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4]=>2 [2,8,7,5,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,5,3,1,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,7,5,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,8,7,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [8,1,2,3,4,5,7,6,9]=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [7,1,2,3,5,4,6,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,9,2,3,4,5,6,8,7]=>[1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [9,1,2,3,4,5,6,8,7,10]=>[9,2,3,4,5,6,7,8,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,1,2,6,4,5,3,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,2,4,3,5,6,8]=>[7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,10,2,3,4,5,6,7,9,8]=>[1,10,3,4,5,6,7,8,9,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [4,7,3,6,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,6,8,5,7,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,3,7,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,8,1,3,2,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,5,8,2,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,3,5,7,2,4,6]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,6,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,5,6,7,8,10,2,9]=>[1,9,3,4,5,6,7,10,2,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[7,1,1,1,1,1,1,1,1]=>4 [1,5,7,3,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,7,6,8,2,5]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,2,4,7,8,5,3,6]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [3,1,4,7,6,8,2,5]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,3,7,6,8,2,5]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,8,2,6,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,6,7,4,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,2,7,5,4,3,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,7,5,4,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,3,8,6,5,4,7]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [1,3,2,8,6,5,4,7]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [3,4,1,7,6,8,2,5]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,5,7,1,8,4,3,6]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [3,5,7,1,6,8,2,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,7,8,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,6,7,3,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,4,8,6,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,8,7,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,8,7,5,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,1,8,6,7,3,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,9,8,7,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,4,9,8,7,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,3,9,8,7,6,5,4,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,8,10,9,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,7,10,9,8,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,5,10,9,8,7,6,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,4,10,9,8,7,6,5,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,9,11,10,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1]=>5 [1,7,6,9,8,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,8,11,10,9,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1]=>5 [1,6,9,5,8,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,6,11,10,9,8,7,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1]=>5 [1,4,9,8,7,3,6,5,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,5,11,10,9,8,7,6,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1]=>5 [1,5,8,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,9,8,7,6,2,1,5]=>[8,7,9,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>1 [1,3,11,10,9,8,7,6,5,4,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1,1]=>5 [2,7,1,5,4,8,6,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,1,6,7,5,8,3]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,1,7,8,6,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [7,3,1,5,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,5,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,7,4,2,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,3,1,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,3,5,1,4,8,7,6]=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,5,5,2]=>2 [2,7,1,3,6,8,5,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,3,8,4,6,5]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,8,7,1,6,2,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,7,1,4,5,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,4,2,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [7,3,4,6,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,4,6,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,7,6,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,4,7,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,2,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,3,4,5,2,6,7]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,4,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,4,8,3,2,5,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,1,8,5,3,2,6,7]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,7,4,2,5,8,6]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,1,8,5,2,4,3,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,8,6,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,6,3,1,2,5,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,1,5,6,2,4,7]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,8,4,1,5,2,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,1,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [5,4,1,2,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,8,4,1,2,3,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,1,2,5,3,4,6,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,7,3,2,8,4,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,3,2,7,4,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,2,8,5,3,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,5,6,2,8,4,3,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,2,5,7,4,6,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,7,6,8,3,5]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [3,5,8,6,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,6,8,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,3,7,1,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,6,1,7,8,5,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,8,5,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,8,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,3,5,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,6,4,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,5,8,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,8,7,3,2,5,6,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,8,4,2,3,5,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,6,4,2,5,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,6,5,7,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,3,8,7,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,4,6,9,8,7,5,3]=>[1,2,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,2,4,9,8,7,6,5,3]=>[1,2,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,3,5,7,9,8,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,3,5,9,8,7,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,3,5,7,9,10,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,3,5,7,10,9,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,3,5,10,9,8,7,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,3,10,9,8,7,6,5,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [3,1,7,2,5,6,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,8,2,5,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,1,3,4,8,2,6,7]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,8,3,5,6,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,5,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,2,8,7,1,6,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,8,3,2,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,7,2,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,7,4,2,5,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,7,5,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,7,5,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,7,5,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,5,3,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,5,3,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,5,3,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,5,6,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,3,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,3,1,4,8,6]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,1,6,3,2,4,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,8,7,2,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,6,2,8,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,8,3,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,6,7,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,6,7,8,3,1,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,7,3,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,1,2,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,5,7,8,4,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,4,5,7,8,3,6,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,2,4,3,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,8,4,6,3,2,7,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,4,8,5,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,6,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,6,3,8,4,2,7,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,5,7,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,7,8,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,7,1,6,3,4,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [4,2,8,3,6,5,1,7]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,6,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,4,5,7,1,8,6,3]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,7,2,4,3,5,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,3,4,5,2,7,6]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,6,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,2,5,6,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [3,4,8,6,7,2,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,8,2,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,7,2,5,8,4,3,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,8,4,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,4,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,8,3,5,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,8,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,8,1,7,4,6,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,2,8,6,4,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,7,8,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,7,8,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,8,5,7,6,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,3,8,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,8,2,6,3,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,4,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,5,4,1,3,7,6]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,2,8,7,1,3,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,4,6,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,6,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,5,6,8,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,3,6,5,2,7]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,3,8,6,4,7,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,2,8,6,4,3,7,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,1,7,6,8,3,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,4,7,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,7,4,5,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,8,4,3,7,2,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,2,7,6,3,4,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [4,5,3,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,8,1,5,2,6,7]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,5,8,6,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,8,5,7,2,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,8,5,3,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,8,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,6,7,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,4,6,7,8,2,1,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,6,7,8,4,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,6,7,8,5,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,7,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,7,8,3,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [6,1,2,4,5,3,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [7,3,4,6,1,2,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [6,8,5,1,7,2,3,4,9]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,3,4,5,7,1,2,6,9]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [7,9,4,6,1,8,2,3,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [3,6,8,2,7,1,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,6,1,4,5,7,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,4,8,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,6,4,8,7,2,5]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,1,4,5,7,2,6]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,4,2,5,7,6]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,8,3,5,2,7,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,1,2,5,4,7,6]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,2,3,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,8,3,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,2,5,1,4,7,6]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,2,8,5,7,1,3,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,1,5,2,4,7,6]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [7,5,6,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,4,2,5,6,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,1,4,3,2,5,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,3,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,2,1,5,8,7,4]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,3,6,1,5,8,7,4]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,6,7,4,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,3,2,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,6,8,1,5,3,7,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,8,5,4,7,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,4,5,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [1,5,7,6,3,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,7,8,5,4,2,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,5,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [6,2,8,5,1,3,4,7]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,8,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,7,4,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,4,1,3,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,7,5,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,6,5,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,5,4,6,3,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,8,6,4,7,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,8,6,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,8,1,7,4,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,6,1,7,5,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,4,8,3,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,7,6,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,2,7,8,4,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,8,5,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,6,3,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,6,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,7,5,8,1,4,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,6,7,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,1,2,8,3,4,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,7,4,8,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,8,5,3,2,4,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,8,4,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,6,8,7,3,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,2,8,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,7,5,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,3,5,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,5,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,4,8,7,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,7,4,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,5,2,7,8,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,8,7,3,2,5,4,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,4,8,7,3,6]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [1,2,4,8,6,3,5,7]=>[1,2,6,8,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [1,5,2,4,7,3,8,6]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,2,7,6,8,4,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,3,2,5,7,8,4]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,4,2,6,8,5]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,5,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,5,6,3,2,8,4,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,2,5,8,4,6,3,7]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,5,3,2,7,8,4,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,1,8,6,2,3,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,7,6,4,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,7,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,3,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,5,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,3,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,6,8,4,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,4,7,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,8,4,3,7,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,3,7,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,2,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,2,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,2,4,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,2,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,3,2,8,1,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,5,6,1,3,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,8,1,3,4,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,5,1,3,4,2,6,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,1,3,4,2,8,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,3,8,2,5,6,4]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,3,7,8,4,6,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,5,3,6,2,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,3,5,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,5,8,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,8,5,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,8,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,5,6,3,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,5,8,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,4,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,7,1,2,5,8,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,2,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,1,2,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [7,3,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,1,2,6,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,1,2,8,5,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,7,3,5,6,1,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,2,4,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,6,8,5,2,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,8,1,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,1,8,2,3,6,7,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [5,2,3,8,1,7,4,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,3,5,7,1,6,4,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [1,5,3,8,2,4,6,7]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [2,7,1,8,6,3,5,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,5,6,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,6,1,7,4,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,7,1,8,6,5,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [8,6,4,2,1,3,5,7,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [6,4,2,7,1,3,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [8,6,4,2,9,1,3,5,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [6,2,8,3,1,4,5,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [9,6,4,2,7,1,3,5,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [2,7,8,3,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [9,7,4,2,5,1,3,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [9,7,5,2,3,1,4,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [9,7,5,3,1,2,4,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [1,8,5,3,2,6,7,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,5,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,3,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,3,4,8,6]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,4,8,6,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,6,2,3,5,7]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,8,4,5,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,6,3,4,5,7]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,6,3,5,7,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,4,3,5,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,6,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,2,3,8,5,6]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,4,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,5,6,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,3,4,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,4,6,3,8,5]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,4,5,2,3,8,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,4,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,3,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,4,5,6,3,7]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,4,5,6,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,2,7,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,5,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,3,2,5,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,8,4,6,2,7,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,7,6,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,4,7,5,8,1,6]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,7,6,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,8,4,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,5,2,1,4,6,7]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [7,5,4,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,9,3,4,5,6,8,7]=>[1,2,9,4,5,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [6,9,1,2,3,4,8,5,7]=>[8,9,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [7,10,1,2,3,4,5,9,6,8]=>[9,10,3,4,5,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,4,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,4,3,1,6,5,7]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,4,6,1,5,2,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,2,8,5,7,4,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,1,3,8,5,7,4,6]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [3,7,2,1,6,8,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,5,8,2,4,7,6,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,2,7,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,2,1,8,4,3,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,1,4,3,2,8,5,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,7,4,8,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,4,7,2,6,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,2,3,5,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,8,5,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,8,1,4,2,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,2,4,5,1,6,7]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,2,4,1,5,7,8]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [2,3,8,4,1,6,5,7]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,5,7,3,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,8,7,5,1,3,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,8,4,1,3,7,6,5]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,4,7,5,8,1,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,8,3,4,1,5,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,3,7,1,8,6,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,6,5,4,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,1,5,2,6,3,4,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,1,5,2,6,8,4]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,5,2,6,7,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,6,5,2,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,1,4,5,2,8,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,7,6,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,7,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [6,5,7,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [6,5,4,7,8,3,2,1,9]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [7,8,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,6,8,9,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [7,6,5,8,9,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [3,5,7,6,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,5,3,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,4,3,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,6,4,7,5,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [7,2,5,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,5,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,6,3,7,5,1,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,7,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,6,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,8,2,5,4,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [7,3,1,4,6,5,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,8,3,6,4,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,8,4,6,5,1,7]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,7,3,6,5,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,8,3,7,5,2,6]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [6,2,1,4,8,5,3,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,1,4,8,6,3,7]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,1,5,8,6,4,7]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [4,2,8,3,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,8,3,7,4,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,7,4,8,5,2,6]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,2,7,3,8,4,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,4,8,5,1,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,6,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,2,5,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,3,6,4,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,3,5,4,8,6,2,7]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [6,2,4,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,4,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,5,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,5,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [6,2,4,3,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,4,3,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,5,3,1,6,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,5,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,4,1,7,5,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [3,2,7,4,1,6,5,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [5,2,7,3,1,6,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,7,3,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,6,3,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,2,4,8,6,3,7]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [6,2,1,5,3,7,4,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,8,5,1,6,4,7]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,2,8,4,1,5,3,7]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [7,1,3,2,5,6,4,8]=>[7,2,4,3,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,5,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,7,2,8,1,4,3,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,7,1,4,3,6]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,1,5,2,7,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,5,7,8,6,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [8,7,6,5,3,2,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,7,6,4,3,2,1,5,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,7,5,4,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,7,6,5,4,1,2,3,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [9,8,7,6,5,4,2,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,7,6,5,2,3,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [9,8,7,6,5,3,2,1,4,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,7,6,3,4,2,1,5,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [9,8,7,6,4,3,2,1,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,7,4,5,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [9,8,7,5,4,3,2,1,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [8,5,6,4,3,2,1,7,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [9,8,6,5,4,3,2,1,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [6,7,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [2,5,1,7,4,8,6,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,4,2,7,3,6,8,5]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [3,2,1,7,8,5,4,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,7,6,3,2,4,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,6,4,7,8,5,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,6,3,2,4,7,8,5]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,3,2,4,7,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,7,1,8,4,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,3,7,6,2,4,5,8]=>[1,5,7,6,2,4,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [2,7,4,1,3,6,8,5]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,1,5,4,7,3,8]=>[3,7,1,5,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [1,2,8,5,4,6,3,7]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,6,8,4,5,7,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,6,5,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,4,8,1,3,6,5]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,6,8,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,2,6,8,4,7,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,2,8,6,3,5,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,8,5,4,7,1,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,1,4,8,3,7,5]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,7,6,5,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,5,6,1,4,8,7,3]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,2,4,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,4,6,7,8,1,5]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [7,1,5,2,6,4,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,5,6,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,5,2,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [4,5,3,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,3,2,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,5,8,3,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,8,2,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,5,8,2,6,4,7,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,4,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,5,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,1,5,4,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,2,7,6,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,4,5,6,9,2,7]=>[1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,2,7,4,5,8,3,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,9,3,4,5,6,7,10,2,8]=>[1,10,9,4,5,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,5,8,7,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,2,6,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,8,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,4,5,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,7,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,8,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,2,1,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,5,6,7,8,9,10,11,1,3]=>[10,11,3,4,5,6,7,8,9,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1]=>0 [4,2,6,3,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,7,6,4,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,5,8,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,5,8,3,4,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,7,5,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,6,1,7,3,4,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,6,8,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,5,1,4,2,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,8,5,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,3,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,5,3,7,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,7,2,6,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [7,2,5,3,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,4,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,2,6,3,4,8,5]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,5,1,6,3,2,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,2,6,3,4,5,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,5,1,6,3,4,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,1,4,6,2,5,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,6,5,4,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,4,3,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,3,8,4,7,2,6,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,4,3,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,3,6,8,7,2,5,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,8,7,1,4,2,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,6,5,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,7,6,5,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [6,2,3,5,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,7,3,6,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,7,3,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,5,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,2,8,5,4,3,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,8,3,6,2,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,6,2,7,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,8,5,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,7,5,8,2,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,6,8,1,5,4,3,7]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [3,5,8,2,1,4,7,6]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [6,4,5,1,8,3,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,4,7,8,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,8,1,3,7,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,3,6,8,7,2,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,5,8,7,6,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,8,6,5,7,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,2,7,6,4,5,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,2,8,5,6,3,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,5,3,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,6,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,4,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,1,4,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,3,7,4,1,8,6,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,4,5,1,8,6,3,7]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1]=>1 [6,3,7,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,3,7,8,2,6,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,1,2,4,3,6,8,7]=>[5,2,3,4,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [5,2,1,4,3,7,6,8]=>[5,3,2,4,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [6,2,1,5,8,3,4,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,8,7,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,3,8,1,5,2,6,7]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,3,6,7,2,8,5]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [6,1,3,2,4,5,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,7,8,6,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,8,2,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,8,2,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,7,8,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,7,3,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,3,2,4,5,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,3,4,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,3,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,4,8,2,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,6,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,8,4,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,8,5,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,8,2,3,1,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,7,8,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,6,3,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,5,2,1,3,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,1,3,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,4,8,3,7,2,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,8,5,2,1,7,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,6,5,8,2,7,4]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,4,8,3,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,3,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,4,3,7,8,2,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,8,6,3,2,7,5]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,6,3,1,5,8,7,4]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,3,6,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,2,8,3,4,1,5,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,1,8,7,6,3,5]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [2,3,8,7,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,7,2,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,3,5,6,2,8,7]=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,7,4,3,5,2,8,6]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,4,3,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,2,7,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,6,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,8,6,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,6,8,2,7,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,5,2,8,7,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,3,2,5,4,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,8,5,2,4,6]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,7,8,3,5,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,3,2,5,6,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,8,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,8,5,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,3,7,8,2,5,4,6]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,2,7,8,5,4,6]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,5,7,6,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,6,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,7,3,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,4,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [2,1,7,4,3,8,5,6]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [9,8,5,2,7,3,4,6,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [9,8,7,6,2,3,4,5,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [1,10,7,6,2,3,9,4,5,8]=>[1,10,9,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,10,9,8,7,2,3,4,5,6]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [11,10,5,2,7,3,9,4,6,8,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,10,5,2,9,8,3,4,6,7,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,10,7,6,2,3,9,4,5,8,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,10,9,6,2,8,3,4,5,7,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,10,9,8,7,2,3,4,5,6,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [1,4,8,2,3,6,5,7]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,4,6,7,3,5,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,8,2,6,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,2,4,5,8,6]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,2,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,3,5,8,6,2,7,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,3,8,4,1,7,6,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,3,8,5,7,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,4,2,8,6,3,5,7]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [6,1,8,2,5,3,4,7]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,6,4,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,5,2,3,4,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,2,1,7,3,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,2,5,8,7,4,6]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,3,3,3]=>2 [5,6,2,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,7,5,2,8,1,4,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,5,4,8,6,1,7]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,6,4,7,5,1,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,5,7,4,8,1,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,7,6,1,2,5,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,8,6,3,5,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,5,8,6,2,3,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,5,2,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,3,7,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,4,7,5,2,8,6]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,3,5,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,3,6,1,8,4,7]=>[5,7,3,4,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [2,5,6,8,3,1,7,4]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,1,4,5,3,6,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,2,4,5,3,6,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,4,5,3,2,6,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,4,7,3,5,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [3,5,6,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,6,4,7,5,2,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,2,6,7,4,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,5,4,7,8,3,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,4,5,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,2,7,5,8,1,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,8,5,3,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,5,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,3,7,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,4,8,5,3,2,6,7]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,7,4,3,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,5,7,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,7,1,3,6,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,7,8,2,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,2,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,2,8,4,3,7,6]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,7,6,4,2,3,5,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,5,8,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,2,4,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,3,6,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,3,1,8,5,2,6,7]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,8,4,5,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,1,4,8,3,6]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,3,5,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,7,3,8,2,4,6,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,4,8,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,6,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,5,8,2,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,1,2,4,3,6,7]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,5,2,3,8,7,6]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,8,7,1,4,6,3,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,8,5,3,7,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,8,1,2,5,4,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [9,4,3,8,7,6,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [9,8,5,4,7,6,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [1,10,5,4,7,6,9,8,3,2]=>[1,10,9,8,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,10,5,4,9,8,7,6,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,10,7,6,5,4,9,8,3,2]=>[1,10,9,8,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,10,9,6,5,8,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [11,4,3,10,7,6,9,8,5,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,4,3,10,9,8,7,6,5,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,10,5,4,7,6,9,8,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,10,5,4,9,8,7,6,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,10,7,6,5,4,9,8,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,10,9,6,5,8,7,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [11,10,9,8,7,6,5,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [1,5,7,2,4,3,6,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [1,7,2,4,6,5,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,7,2,6,5,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,2,6,8,7,4,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,4,3,5,8,6]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,2,8,7,4,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,2,3,5,8,6]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,2,3,6,4,7]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,8,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,5,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,7,4,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,2,7,4,3,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,7,5,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,2,5,8,6,3,7,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,7,5,8,6,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,8,7,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,8,7,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,8,7,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,7,4,3,8,6]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [1,5,3,2,6,8,7,4]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,6,8,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,6,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,2,6,3,4,7]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,6,3,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,2,8,5,4,7]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,3,8,6,4,2,5,7]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,5,7,4,2,3,8,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,8,2,7,5,4,1,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,2,8,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,8,7,1,4,3,6]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [4,2,7,1,6,8,3,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,8,2,6,7,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,5,2,3,8,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,7,3,6,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,4,6,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,2,4,6,8,5,3,7]=>[1,2,7,6,8,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [3,1,5,8,6,2,4,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [2,5,4,6,8,1,3,7]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [2,4,3,8,7,1,6,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,5,8,7,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,2,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,7,6,8,2,1,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,4,1,3,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,1,8,7,5,2,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,6,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,6,8,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,7,1,8,5,2,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,8,5,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,7,3,1,8,5,2,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,2,5,6,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,5,1,4,2,3,6,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,5,2,7,3,4,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,3,6,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,6,4,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,6,2,5,3,4,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,3,7,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,3,1,2,6,4,5,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,2,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [6,3,1,2,7,4,5,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,7,4,2,3,5,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,3,4,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,7,2,5,3,4,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,7,2,6,3,4,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,8,2,6,3,4,7]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,3,7,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,7,3,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [2,4,8,6,3,5,1,7]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,6,2,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [2,6,8,3,5,1,4,7]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,3,6,1,5,8,4,7]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2]=>2 [2,3,7,1,6,5,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,4,7,1,3,6,8,5]=>[4,5,8,1,2,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1]=>1 [5,4,7,8,1,3,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,7,1,4,6,3,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [2,4,7,1,6,3,5,8]=>[4,6,7,1,5,2,3,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1]=>2 [2,5,7,1,4,3,6,8]=>[4,6,7,1,5,2,3,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1]=>2 [2,5,7,3,1,4,6,8]=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,2,1]=>1 [4,6,3,7,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,3,2,8,1,4,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,5,7,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,7,1,4,6,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,7,1,6,3,8,5]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [2,4,7,1,6,8,3,5]=>[4,7,8,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [2,4,8,3,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [7,6,1,4,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,1,4,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,9,1,8,7,6,5,4,3]=>[3,9,1,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1]=>3 [4,2,5,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,3,7,5,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [1,6,7,4,3,2,5,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [3,5,1,4,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,4]=>2 [4,3,7,1,5,2,6,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [3,5,1,6,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,4,3,1,7,2,5,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,7,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,4,1,7,3,5,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [6,3,2,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,2,5,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,5,7,1,4,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [2,1,7,3,5,6,8,4]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,1,6,3,5,7,8,4]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,4,6,5,2,7,3,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,6,2,1,4,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,5,1,6,4,3,7,8]=>[3,6,1,5,4,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [2,5,4,1,6,3,7,8]=>[4,6,3,1,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1]=>2 [4,6,1,5,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,5,3,7,2,4,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,8,2,4,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,4,7,3,8,5]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,3,5,6,4]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,7,4,5,8,1,6,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,1,8,5,4,3,7]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [5,8,6,2,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,6,2,1,4,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,8,6,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,2,1,5,8,4,3,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,8,5,3,6,1,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,7,8,4,5,6,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,4,1,6,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,1,8,6,7,2,4,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,2,5,6,4,7,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,4,8,5,6,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,4,6,1,3,7,5]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [9,8,7,6,1,2,3,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [2,8,5,1,4,7,3,6]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,8,2,3,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,3,4,2,5,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,3,5,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,4,5,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,3,1,6,4,7,8]=>[4,6,3,1,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1]=>2 [6,5,1,3,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,7,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,8,4,5,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,4,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,6,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,5,8,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,6,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,5,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,6,1,3,4,2,5,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,5,4,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,2,4,5,6,3,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,2,1,5,6,4,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,6,4,7,5,3,8]=>[2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,2,2]=>3 [7,6,1,4,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,5,6,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,3,8,6,2,7,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,8,2,5,1,7,4,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,8,4,2,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,5,2,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,8,3,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,2,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,2,8,7,4,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,7,8,5,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,6,5,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,7,8,2,4,3,5,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,4,7,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,7,4,8,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,7,8,1,5,2,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,6,8,7,4,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,7,5,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,5,8,2,4,3,6,7]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [4,3,6,8,1,5,2,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,3,7,6,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,2,7,8,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,2,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,1,3,8,7,4,6,5]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,8,7,4,5,6]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [1,6,8,3,2,4,7,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,8,7,6,4,5]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [2,1,3,8,7,6,4,5]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [1,6,3,7,2,5,4,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,2,4,6,3,5,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,7,2,8,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,2,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,4,8,3,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,5,8,4,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,8,3,1,4,6,7]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [2,8,1,3,5,7,4,6]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,4,8,5,7,1,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,8,2,5,1,4,7]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,4,6,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,4,2,6,8,5,3,7]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,2,6,8,3,5,4,7]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [1,6,8,3,5,4,2,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,8,7,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,6,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,3,2,4,8,7,5]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,5,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,4,6,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,4,2,5,3,6,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,4,7,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,3,6,4,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,5,2,6,3,4,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,3,7,4,2,5,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,7,5,2,6,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,6,4,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,7,5,2,4,6]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,6,3,2,7,5,8]=>[1,5,7,4,2,6,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [1,4,6,3,2,8,7,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,5,7,6,4,2,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,3,5,2,7,4,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,3,5,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,7,5,2,4,6]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,1,8,3,4,7,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,7,1,4,8,2,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,3,1,4,2,6,5,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,6,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,1,8,2,6,3,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,3,1,8,2,6,4,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,1,5,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,1,4,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,7,3,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,9,3,4,5,6,7,2]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,8,7,4,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,6,8,7,3,4,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,7,8,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,6,2,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,4,2,1,8,5,3,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,6,1,5,8,3,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,4,2,3,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,8,6,4,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,1,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,4,3,7,2,8,6,5]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,8,7,4,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,3,1,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,4,6,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,6,4,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,1,8,4,3,7,2,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,8,5,10,6,7,9,3,4]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [6,3,8,4,5,7,1,2,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [2,7,10,4,8,6,9,5,1,3]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [3,2,8,6,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,2,8,3,5,1,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,2,7,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,2,5,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,7,1,6,3,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,3,2,6,8,7,4,5]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,6,2,5,8,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,7,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,4,8,3,6,7]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,2,4,5,8,6,3,7]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [1,6,7,5,2,4,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,4,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,4,2,5,8,3,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,3,7,5,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,5,4,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,3,2,6,4,8,5]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,2,3,6,7,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,5,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,2,3,6,5,7]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,7,5,3,8,6]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,5,7,6,2,4,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,4,7,3,2,6,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,4,2,6,5,7]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,7,4,2,6,5,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,8,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,8,3,2,5,6]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,3,2,7,5,6]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,8,3,6,4,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,7,3,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,7,3,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,1,2,4,5,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,5,3,4,6,2,7]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,5,2,6,7,8,9,4]=>[1,4,9,2,5,6,7,8,3]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,1,1,1]=>3 [3,2,5,8,7,4,1,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,2,5,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,8,5,7,2,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,8,7,3,1,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,2,8,4,5,7,3,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,2,1,8,7,6,3,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,2,5,8,7,1,4,6]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [2,5,8,4,7,1,6,3]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,2,4,8,5,7,3]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,6,5,8,7,2,4]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,5,3,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,3,2,5,4,7]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,4,8,5,7,1,6]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,3,1,4,6,7,5]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,3,6,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,3,8,7,6,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,8,7,2,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,7,2,6,3,5,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,7,1,6,3,4,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,2,5,7,4,8,6,3]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,6,5,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,8,3,4,1,5,6,7]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,7,5,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,5,6,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,2,1,4,3,6,8,7]=>[5,3,2,4,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [1,5,6,3,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [2,6,5,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,3,6,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,6,5,4,8,1,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,7,1,2,8,4,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,7,6,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,8,1,4,7,5,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,4,6,7,8,9,1,10,3]=>[8,10,3,4,5,6,7,1,9,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,7,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,4,8,1,5,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,8,4,1,5,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,6,4,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,1,3,2,8,7,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,7,8,3,5,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,6,1,3,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,4,5,6,8,3,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,4,5,8,6,2,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,8,7,5,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,5,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,3,8,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,3,5,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,6,3,7,2,8,4]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,3,6,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,3,4,2,8,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,5,8,3,4,2,7,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,5,3,7,2,8,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,4,5,3,8,2,7,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,7,5,4,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,10,7,6,3,4,9,5,8,2]=>[1,10,9,8,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,10,9,6,3,8,4,5,7,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,10,9,8,7,3,4,5,6,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [7,6,5,1,2,3,9,4,8,10]=>[8,6,5,4,3,2,9,1,7,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[9,6]=>3 [11,10,9,8,7,1,2,3,4,5,6,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11]=>5 [3,8,5,2,1,4,7,6]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,8,2,6,5,3,7]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,2,8,1,7,4,3,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,8,2,6,7,3,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,2,5,6,8,7,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,6,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,3,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,5,7,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,6,1,8,2,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,8,6,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,8,7,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,6,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,8,6,7,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,6,5,7,3,8,4]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,5,8,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,5,8,1,2,7,4]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,6,8,1,3,7,4]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,8,7,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [7,6,1,2,3,5,4,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,7,5,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,7,5,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,4,7,2,6,5,8]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,3,1,1,1,1]=>2 [5,3,8,2,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,8,3,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,2,1,4,6,3,7]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,5,8,3,6,2,7]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,8,3,6,1,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,1,8,5,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [4,7,8,5,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,1,3,8,5,4,6]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,6,7,8,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,7,8,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,1,2,3,4,5,8,6,9]=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [6,1,2,3,4,7,5,8,9]=>[7,2,3,4,5,6,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [1,7,4,3,2,5,6,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,4,3,6,2,5,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,2,1,6,3,4,8,7]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,1,3,4,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,2,1,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,5,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,4,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [2,6,4,1,5,8,7,3]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,5,1,4,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,6,4,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,4,1,5,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,1,4,6,7,3,8]=>[3,7,1,4,5,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1]=>3 [3,1,6,5,2,8,7,4]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,7,2,4,3,5,8,6]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,7,4,2,6,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,3,1,4,7,5,6]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,3,1,8,4,5,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,2,8,3,5,6,4,7]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,6,8,4,1,2,5,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,7,8,5,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,8,5,4,7,2,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,6,4,8,5,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,3,4,2,6,8,7]=>[5,2,4,3,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [3,2,6,4,1,5,7,8]=>[5,2,6,4,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[7,6,2]=>2 [5,4,2,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,2,5,1,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,8,4,7,3,2,5,6]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,4,7,8,3,6]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [4,7,1,2,5,3,6,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,2,6,1,7,8,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [5,4,1,6,7,3,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,2,3,5,7,8,4]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,8,5,2,6,7]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,5,7,2,3,6,8,4]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,5,7,8,4,1,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,3,5,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,8,3,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,8,7,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,7,2,6,4,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,7,4,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,7,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,4,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,4,8,2,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,7,2,6,1,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,4,7,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,7,6,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,8,7,2,6,5]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [7,1,5,4,6,2,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,3,6,2,5,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,3,1,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,3,7,5,6,2,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,8,3,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,4,8,1,7,3,6]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [5,6,3,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,6,1,5,3,4,7,8]=>[3,6,1,5,4,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [3,6,2,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,4,8,6,2,7,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,5,1,2,3,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,1,3,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,1,6,7,4,8,3,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,7,5,8,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,8,2,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,8,2,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,6,1,4,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,4,7,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,8,4,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,8,3,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,6,2,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,6,4,5,2,7,3,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,7,3,2,5,6,8]=>[1,5,7,4,2,6,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [6,2,1,4,5,3,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,2,4,6,8,3,7,5]=>[1,2,6,8,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [1,3,5,8,2,6,7,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,4,9,2,5,6,7,8,3]=>[1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [2,6,8,4,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,7,4,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,4,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,7,4,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,4,7,2,3,6,8,5]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [3,1,2,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,8,1,6,4,2,7,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,3,4,7,8,2,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,5,7,6,2,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,4,3,7,6,1,8,5]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,7,6,5,2,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,7,6,8,3,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [4,3,1,8,6,2,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,1,5,2,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,2,8,4,3,7,6,5]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,6,1,8,7,4,3,5]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,7,6,3,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,1,8,6,2,4,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,8,6,3,2,4,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,4,2,8,6,3,7]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,4,2,8,5,3,7,6]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,7,4,8,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,3,8,1,7,5,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,1,8,6,3,7,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,8,6,4,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,4,2,7,5,3,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,7,5,3,6,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,2,8,7,6,4,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,5,7,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,2,6,3,5,1,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,5,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,8,5,3,6,2,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,4,2,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,1,5,8,2,7,4,6]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [6,4,1,5,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,2,1,5,4,3,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,1,8,5,4,6,2,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,1,8,4,5,3,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,2,7,1,6,3,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,1,8,5,7,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [6,3,8,4,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,1,8,5,2,6,3,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,6,8,5,2,4,7]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [2,7,6,3,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,1,8,7,6,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,5,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,2,4,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,2,5,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,3,1,6,8,2,5]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,7,6,8,1,3,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,4,6,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,2,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,1,3,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,1,3,5,7,8,2,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,1,5,8,4,3,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,6,4,1,8,3,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,2,1,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,7,8,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,7,6,2,3,8,5]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,6,3,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,9,7,3,4,5,1,2,8]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [6,2,3,1,8,5,4,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,2,6,4,8,3,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [7,10,8,3,4,5,6,1,2,9]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [4,5,2,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,8,2,5,6,1,7]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,3,2,5,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,3,8,5,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,4,5,1,6,3,7]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,2,5,8,4,7,1,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,5,8,1,3,4,7,6]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [3,5,1,8,7,4,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,6,1,3,8,2,7,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,1,7,8,3,2,4,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,7,6,2,8,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [5,4,6,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,7,6,8,4,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,9,2,6,7,3,4]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,2,7,9,5,8,3,6,4]=>[1,2,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,8,9,6,7,4,5,2,3]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,6,9,4,8,2,7,5,3]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,8,9,10,5,6,7,2,3,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,6,10,4,9,2,8,7,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [4,7,3,1,5,2,8,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,4,7,5,3,8,6]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [2,4,7,3,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,3,1,8,5,4,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,3,1,7,4,5,6]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,2,6,8,3,4,7,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,8,2,7,3,5,6,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,5,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,5,2,6,1,7,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,2,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,8,6,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,1,5,2,7,8,4]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,4,2,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,8,4,3,7,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,8,7,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,4,5,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,8,7,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,7,8,3,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,8,5,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,8,1,3,6,4,5]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,8,1,5,4,6,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,8,1,4,5,6,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,6,7,8,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,6,8,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,3,4,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [1,8,6,2,5,4,7,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,4,1,7,5,2,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,1,4,3,7,6]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,3,6,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,6,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,5,8,4,1,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,6,5,8,7,1,4]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,5,8,4,1,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,7,2,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,6,2,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,2,6,4,8,7,1,5]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,7,3,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,6,8,4,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,6,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,1,7,3,2,5,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,8,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,3,6,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,3,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,7,8,3,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,8,1,3,2,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,8,1,6,3,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,4,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,6,1,8,7,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,5,1,8,6,4,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,3,8,6,4,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,5,8,3,6,4,2,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,8,6,3,4,2,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,3,7,8,4,2,6,5]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [6,1,2,5,3,4,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,1,2,5,4,3,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,1,4,6,7,3,2,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,6,5,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,4,1,6,5,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,5,1,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [1,3,2,6,8,4,7,5]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [1,6,4,3,7,2,5,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,7,3,1,4,8,6,5]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,7,1,3,2,5,6,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [4,1,6,7,3,2,8,5]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,7,2,5,6,8,4,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,5,4,2,3,6,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,3,6,4,5,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,3,8,4,5,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,1,8,7,3,6,5,4]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,5,4,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [4,1,5,7,6,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,7,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,2,1,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,2,1,5,4,3,8,7]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,4,2,6,7,8,5,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,2,4,3,5,7]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,4,5,7,8,1,6]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,6,2,7,8,4,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,2,7,5,3,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,4,3,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,3,4,2,5,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,2,7,4,3,8,6,5]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,6,3,5,8,4]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,3,7,2,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,7,5,6,1,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,4,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,7,5,8,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,5,6,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,5,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,8,5,2,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,2,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,7,1,6,2,5,8,4]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,5,1,7,8,4]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,4,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,8,5,2,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,3,8,7,4,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,7,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,2,7,8,1,3,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,2,3,7,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,5,7,9,1,4,6,8]=>[6,2,7,8,9,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2]=>1 [4,6,7,8,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,4,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,1,3,4,2,5,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,1,3,6,2,4,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,5,7,6,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,1,3,8,4,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,1,4,3,7,8,5]=>[3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,6,3,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,6,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,5,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,4,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [5,7,6,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,4,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [7,5,6,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,3,7,6,2,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,3,7,2,4,5,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,3,2,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,6,2,7,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,1,4,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,1,4,8,7,3,2,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,5,3,8,4,2,7,6]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [5,4,2,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,1,7,4,2,6,8,5]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,1,6,8,4,2,7,5]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,5,2,8,3,6,7,4]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,6,2,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,4,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,8,5,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,6,3,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [2,8,4,6,3,1,5,7]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,4,1,5,8,2,6]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,4,1,7,2,5,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,7,8,1,6,4,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,8,6,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,6,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,5,6,4,2,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,7,8,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,5,3,4,7]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,8,4,1,3,5,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,2,7,3,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,4,6,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,6,3,5,1,4,7]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,2,8,6,4,5,3,7]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,8,7,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,8,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,8,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,5,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,5,4,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,3,4,8,5,2,7,6]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [3,1,6,4,2,5,8,7]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [1,8,4,7,2,3,6,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,4,2,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,8,1,6,4,2,5,7]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,3,7,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,7,8,6,2,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,8,1,6,5,3,7,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,1,5,7,6,3,8,4]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,8,5,2,3,4,7,6]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,2,3,4,7,6]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,2,7,8,4,5,6,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,2,5,6,4,8,1,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,3,6,4,1,7,5,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [2,3,7,1,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,6,1,7,5,8,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,6,5,1,7,4,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [3,6,4,2,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [4,3,2,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,5,6,2,1,4,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [4,3,6,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,6,4,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,5,6,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,8,1,4,2,3,6,7]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,8,2,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,5,4,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,2,8,3,1,6,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,6,8,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,6,3,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,5,6,4,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,8,1,7,5,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,5,6,7,8,9,2,3,4]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,8,9,10,2,3,4,5,6,7]=>[1,10,9,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,5,6,7,8,9,10,2,3,4]=>[1,10,9,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [6,3,7,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,4,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,7,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,7,3,4,2,5,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,7,2,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,8,7,6,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,7,1,5,6,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,5,6,2,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,4,6,8,2,7,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,1,5,7,3,8,2,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,6,5,7,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,5,7,4,2,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [3,4,7,5,2,1,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,7,6,3,8,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,1,8,4,6,5,7]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,7,6,8,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,2,3,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,6,8,7,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,6,1,4,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,6,2,7,5,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,2,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,1,7,6,2,5,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,5,3,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [2,4,5,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,7,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,3,7,5,2,6,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,1,6,3,2,7,5,8]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [7,5,4,1,3,2,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,8,5,6,3,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,7,4,1,3,6,8]=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,2,1]=>1 [5,7,4,1,3,2,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [2,6,8,4,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,3,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,5,1,6,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,1,6,3,2,4,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,2,5,1,6,3,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,1,6,2,4,3,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,8,2,6,7,4,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,8,4,3,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,5,8,3,2,6,7]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,5,2,4,7,8,6,3]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,2,7,5,8,4]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,2,4,7,3,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,7,2,4,6,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,2,5,4,3,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,2,7,3,6,8]=>[1,6,4,3,7,2,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1,1,1,1]=>2 [1,5,4,2,8,7,3,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,6,8,3,5,2,4,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,6,2,3,5,8,4]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,3,6,5,4,7]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,3,8,6,5,2,4,7]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,7,3,2,8,6,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,8,6,5,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,4,3,2,5,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,5,3,2,6,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,2,6,5,3,8,4,7]=>[1,2,7,5,4,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2,1]=>2 [1,8,3,7,2,4,6,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,8,5,3,7,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,6,2,8,7,1,4]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,5,3,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,2,6,7,8,1,3,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,3,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,6,4,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,3,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [7,1,4,5,2,3,6,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,7,5,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,7,1,4,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,5,6,7,8,9,2,4]=>[8,2,9,4,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>1 [2,7,4,5,1,8,3,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,7,1,8,5,6,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,8,6,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,6,8,2,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,2,1,3,5,4,7]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,1,6,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,5,8,6,2,1,4,7]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,4,8,5,6,1,3,7]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [4,8,2,5,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,3,1,4,7,6]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,8,4,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,2,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,8,7,4,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,5,8,1,3,4,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,4,5,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,1,3,4,2,7,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,6,3,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,6,8,4,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,7,3,2,8,5,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,5,2,7,6,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,5,1,4,7,3,6,8]=>[3,6,1,4,7,2,5,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1,1]=>2 [3,1,6,5,7,2,4,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [2,6,1,5,7,4,8,3]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,7,1,6,3,8,4]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,6,5,2,4,7,8]=>[5,2,6,4,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[7,6,2]=>2 [3,6,5,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,6,5,2,1,4,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [5,4,3,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,5,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,1,6,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,5,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,5,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,6,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,6,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,2,5,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,7,6,1,2,5,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,1,6,5,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,5,7,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [3,5,7,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,2,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,5,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,5,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,8,2,1,4,6,7]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [5,3,8,2,1,4,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,1,8,2,4,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,5,8,4,2,3,6,7]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,8,2,1,4,3,6,7]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,2,4,6,3,1,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,4,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,1,4,6,2,3,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,8,4,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,4,6,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,6,4,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,4,2,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,6,2,4,5,7]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,6,2,1,4,5,7]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,6,2,4,1,5,7]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,6,7,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,4,6,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,6,3,5,8,4]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,5,8,4,7,3]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,1,7,4,5,8,6]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,6,8,5,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,5,8,7,3,6,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,2,1,6,7,4,8,5]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,3,1,7,8,5,2,6]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,2,8,6,4,7,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,8,3,7,1,4,6,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,7,1,5,3,6,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,8,1,5,3,4,7]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1]=>1 [3,2,5,6,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[4,2]=>1 [3,8,1,6,4,5,2,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,4,8,6,3,7,5]=>[1,2,6,8,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [5,7,2,3,1,4,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,6,4,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,5,8,7,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,8,7,6,4,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,8,5,1,7,4,6,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,8,6,4,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,8,6,4,7,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,5,4,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,2,1,5,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,5,8,7,2,4,6]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[3,2]=>1 [5,3,7,4,2,6,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,8,4,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,2,8,4,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,1,8,4,3,2,6,7]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,2,7,4,3,6,1,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,5,7,8,4,2,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,2,7,4,1,3,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,2,3,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,8,6,4,3,5,7]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [6,1,3,7,4,5,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,6,3,5,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,1,8,5,3,4,7]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [1,8,2,7,5,3,4,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,4,1,8,6,7,3]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,7,1,4,2,5,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,1,7,8,2,4,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,3,2,1,4,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [5,3,2,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,3,2,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,3,2,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,7,6,3,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,6,4,2,5,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [3,6,7,2,5,1,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,7,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,8,4,7,5,2,6]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,8,5,7,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,6,4,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,6,3,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,1,7,6,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,6,4,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,5,1,4,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [1,3,8,4,6,2,5,7]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,8,4,2,3,7,5,6]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,3,2,7,6,5]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,2,8,6,7,5,4,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,5,4,3,2,6,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [6,5,2,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,2,7,8,3,6,1,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,8,4,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,7,8,1,3,6,5]=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[2,2,1]=>1 [5,2,8,3,1,4,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,6,2,7,1,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,8,2,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,8,4,2,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,6,8,2,5,7,3]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,2,4,8,1,7,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,2,6,8,3,7,4]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,5,3,1,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,8,2,1,3,4,6,7]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,5,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,6,2,7,8,4,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,8,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,8,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,2,7,8,4,6,5]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [2,3,8,6,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,4,7,3,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [7,6,2,1,5,4,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,2,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [3,2,5,6,8,4,1,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,7,5,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,5,1,3,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [4,2,6,1,7,3,5,8,9]=>[6,4,7,2,5,1,3,8,9]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[8,7,2]=>2 [5,3,4,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,6,8,2,1,3,4,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,2,1,3,8,4,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,3,2,4,8,5,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,7,6,2,8,3,5,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,3,8,5,2,7,6]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,8,5,4,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,3,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,1,4,5,8,6,2,7]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,8,3,2,5,4,6,7]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,7,3,2,8,4,6]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,8,1,3,2,4,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,4,8,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,8,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,5,7,8,3,6,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,4,5,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,6,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,1,6,7,3,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,1,8,3,7,4,6]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [5,7,2,1,3,8,4,6]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,1,5,4,2,6,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,6,5,4,3,1,2,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [8,7,6,5,4,3,1,2,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [7,6,5,4,2,1,3,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [7,6,5,4,1,3,2,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [2,7,4,5,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,4,6,8,1,7,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,3,5,8,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,4,7,5,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,4,5,6,7,9,1,8]=>[8,2,3,4,5,6,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>3 [2,7,3,6,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,6,5,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,3,5,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,1,4,6,3,8,7]=>[3,6,1,4,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [3,1,5,6,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,4,7,3,6,8,5]=>[2,1,5,8,3,6,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3,3,2,2,2]=>2 [3,7,6,4,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,5,3,7,8,6,4]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,8,1,4,3,2,6,7]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,7,4,1,3,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,2,7,5,1,8,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,2,3,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,1,7,4,3,6,8,5]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,7,1,4,5,6,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,2,5,4,6,8,3]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,3,8,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,4,2,5,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,3,1,4,7,8,6]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,5,5,1]=>2 [4,3,1,5,2,7,8,6]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,2,3,1,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,4,8,7,2,3,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,8,2,1,7,4,3,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,4,7,3,8,6,2]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,6,8,4,1,7,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,4,7,6,3,5]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,6,2,7,4,5,8,3]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,8,4,2,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,5,7,6,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,6,5,4,7,2,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,3,6,5,2,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,6,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,2,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,1,7,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,1,4,5,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,1,6,5,2,7,8]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,1,2,6,5,3,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,6,1,3,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,6,4,2,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,7,6,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,6,1,2,5,3,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,6,5,1,4,8,7,3]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,4,7,1,3,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,6,1,3,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,1,3,6,7,4,2,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,7,8,5,6,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,1,8,5,2,4,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,8,6,7,1,3,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,1,2,4,7,3,5,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,1,6,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,4,5,8,7,3,6]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [1,3,4,7,5,8,6,2]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,3,7,8,6,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,6,1,4,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,6,4,1,7,2,8,5]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,1,3,7,8,6,5]=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4,4,4,1]=>2 [2,6,1,5,7,8,4,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,6,8,4,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,4,7,2,6,3,8]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,4,5,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,4,7,5,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,7,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,6,3,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [6,2,5,1,3,4,8,7]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,6,5,1,3,4,8,7]=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [4,6,5,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,5,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,6,1,3,2,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,7,1,4,3,2,6,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [1,2,6,7,8,4,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,2,3,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,1,7,3,2,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,5,6,7,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,3,8,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,2,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,1,7,6,3,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,7,8,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,3,7,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,1,2,8,6,5,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,8,1,6,5,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,5,8,1,7,6,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,4,7,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,2,4,7,6,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,4,6,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,1,8,4,7,6,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,4,2,8,1,7,6,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,4,5,8,1,7,6,3]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,1,8,2,6,7,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,6,8,1,4,3,7,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,1,8,2,6,7,3,5]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,5,2,8,7,3,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,1,5,8,7,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [6,2,5,3,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [7,6,1,3,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,4,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,1,5,4,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,8,4,2,5,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,8,3,5,7,6]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,3,5,4,8,7,2,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,6,2,4,8,3,7,5]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,5,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,2,8,6,4,7,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,2,7,4,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,4,6,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,1,3,7,6,2,5]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,7,8,1,2,4,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,6,8,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,6,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,1,8,3,5,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,7,1,8,3,2,5,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,3,6,1,5,2,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,8,6,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,8,6,4,5,1,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,8,7,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,2,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,5,2,3,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,4,7,6,1,3,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [5,2,3,7,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,3,7,6,1,5,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [4,2,7,3,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,7,2,3,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [6,2,7,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,6,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,3,4,2,7,5,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,2,4,5,6,8,3]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,8,1,5,6,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,8,2,3,1,5,4,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,2,3,1,6,4,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,3,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,2,1,5,3,7,6,8]=>[5,3,2,4,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [5,1,3,4,2,7,6,8]=>[5,2,4,3,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [6,1,3,4,2,7,5,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,9,8,10,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [3,7,2,8,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,2,3,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,3,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,7,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,7,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,4,5,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,7,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,5,7,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,7,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,6,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,4,6,2,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,5,6,4,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [3,4,2,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,3,7,5,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,6,3,5,7,2,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,1,3,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,2,1,3,7,8,5]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,4,1,7,5,8]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>2 [6,2,7,1,4,5,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,6,1,5,7,3,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,2,7,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,7,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,5,6,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,6,3,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,4,1,3,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,1,8,3,4,6,2,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,8,2,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,1,5,4,2,3,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,4,6,5,8,1,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [7,5,2,1,6,3,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,1,7,4,2,5,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,4,2,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,7,3,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,5,4,6,1,3,8,7]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [2,6,5,3,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [6,1,2,4,3,5,7,8]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,7,6,8,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,5,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,2,4,3,5,8,7]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,5,6,3,8,7,2,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,5,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,8,7,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,6,1,5,4,7,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,6,4,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,7,5,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,4,7,6,2,5,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [5,3,4,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [7,3,1,6,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,5,2,4,6,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,4,5,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,2,3,6,4,5,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,10,1,3,9,2,6,4,5,8]=>[9,10,3,6,8,4,7,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,6,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,4,1,3,6,5,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,1,2,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,5,1,4,7,3,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,8,4,1,3,6,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,4,6,5,7,8,1,3]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,6,7,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,6,3,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,5,6,8,7,1,3]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,5,6,3,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,3,4,6,8,5,1,7]=>[7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,8,3,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,4,1,2,7,8,5]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,7,3,8,6,2,5]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,5,2,7,6,8,4,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,6,8,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,1,6,5,8,4,7]=>[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,3,3,3]=>2 [6,3,1,4,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,4,8,5,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,8,7,1,3,2,6,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,1,8,7,6,2,5]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,3,5,6,8,7,2,4]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,8,7,5,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,1,3,2,8,5,7]=>[5,7,3,4,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,1,1]=>2 [2,6,5,8,3,1,4,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [3,2,8,4,5,7,1,6]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,1,8,2,4,5,3,7]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,8,4,7,6,2,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,6,4,7,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,2,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,8,4,1,7,5,6]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,6,1,3,2,7,8,5]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,7,4,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,5,8,1,3,7,6]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>1 [2,7,8,6,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,1,5,8,4,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,8,3,5,6,1,4,7]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,6,4,2,7,5,8]=>[1,5,7,4,2,6,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [2,3,7,5,8,1,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,8,5,6,1,4,7]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,5,8,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,7,5,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,2,5,7,8,1,6]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,4,7,5,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,4,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,7,8,4,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,4,8,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,4,5,8,1,6,7]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,6,8,4,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,3,7,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,7,6,3,8,2,5]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,6,5,1,7,2,8,4]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,3,6,8,2,4,7,5]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,6,7,4,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,3,8,7,5,6,4]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [1,6,4,7,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,5,6,7,8,1,2,3,9]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [4,8,1,6,3,7,2,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,6,2,4,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,5,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,4,6,3,5,1,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,8,1,4,6,5,2,7]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,4,1,8,3,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,6,1,8,5,3,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,8,5,2,1,6,4,7]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,1,4,8,2,6,3,7]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,7,8,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,6,1,2,5,7,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,6,2,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,6,8,7,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,6,2,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [4,8,9,10,2,5,6,1,3,7]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [6,1,8,2,4,3,5,7]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,8,2,5,3,4,7]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,5,6,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,3,8,5,6,2,7]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,7,8,6,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,2,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,8,1,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,4,6,7,2,1,5,8]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [2,6,7,1,4,3,8,5]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [7,4,6,1,3,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,3,8,7,4,6,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,3,8,7,4,1,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,2,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,8,3,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,6,8,3,2,1,7,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,6,3,7,5,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,7,6,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,7,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,2,1,5,7,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,3,2,8,7,4,6,5]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,1,1]=>3 [4,6,3,7,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,5,1,3,7,6,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,1,3,5,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,3,8,7,2,5,6,4]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,5,4,1,8,3,7,6]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [1,8,7,3,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [8,7,5,3,1,2,4,6,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [7,5,3,1,2,4,6,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [8,7,5,3,1,2,4,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [5,3,1,2,4,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [7,5,3,1,2,4,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [3,1,2,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,4,3,8,5,7,2,6]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [1,5,3,7,6,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,1,3,6,2,7,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,2,4,7,3,6,5]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,6,5,8,3,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,3,7,1,2,8,5,6]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,8,1,6,2,5,3,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,4,2,5,7,3,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,3,1,2,4,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,4,8,5,2,3,6,7]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,4,8,5,2,3,7,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,5,8,7,2,4,3,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,5,4,2,8,3,7,6]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [1,2,8,7,3,5,4,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,1,6,8,7,2,3,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,7,6,4,8,2,5]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,6,4,8,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,8,7,3,5,4,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,6,7,3,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,1,6,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,5,6,7,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,7,5,3,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,1,2,7,4,3,6]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,3,1,8,2,4,5,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,3,1,8,4,5,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,1,4,7,5,8,6,3]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,7,8,9,2,3,10,4,5,6]=>[1,10,9,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [6,8,3,1,2,5,4,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,1,8,7,3,4,6]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [1,4,7,3,6,8,2,5]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,7,1,4,6,8,2,5]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,7,3,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,5,6,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,2,6,7,4,5,8,3]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [6,4,1,8,3,2,5,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,8,1,4,2,7,3,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,3,1,6,8,7,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,1,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,5,6,7,2,4,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [2,8,6,4,1,5,3,7]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,5,7,3,6,2,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,5,3,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [5,6,1,2,4,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,1,8,7,2,5,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,3,8,4,1,7,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,4,6,1,8,7,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [3,6,7,4,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [1,4,7,5,8,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,8,4,7,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,5,7,4,6,8,3]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,3,5,7,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,2,4,7,8,6,3,5]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [2,4,7,8,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,6,2,5,8,4,7]=>[1,4,7,2,5,8,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,1,1,1]=>2 [1,5,3,6,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,8,1,2,6,3,7,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,5,2,3,8,6,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,1,8,3,7,4,5]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,1,7,6,8,3,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [5,3,1,8,2,4,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [5,1,8,3,2,4,7,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,8,5,7,3,1,4,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,8,7,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,7,3,8,6,4,5]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,7,5,3,2,4,8,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,7,6,5,8,3]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,7,3,4,1,5,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,8,7,5,2,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,8,3,1,5,4,7,6]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,4,1,5,2,7,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,6,2,4,3,7,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,3,1,6,2,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,3,1,6,4,7,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,8,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,6,7,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,5,6,7,8,9,4,3,2]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,4,5,6,7,8,9,3,2]=>[1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,8,9,10,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,7,6,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,7,8,9,10,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,6,5,7,8,9,4,3,2]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,6,7,8,9,10,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,5,4,6,7,8,9,3,2]=>[1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,5,6,7,8,9,10,4,3,2]=>[1,10,9,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,4,5,6,7,8,9,10,3,2]=>[1,10,9,4,5,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [4,8,5,1,3,2,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,3,1,2,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [4,1,6,5,2,3,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [7,1,5,2,3,6,4,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,6,3,7,2,5,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,6,1,2,8,3,7,5]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,3,6,7,2,5,8]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [2,6,7,4,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [6,5,3,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,6,7,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,2,2]=>2 [2,7,5,8,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,1,6,7,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,1,4,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,5,7,8,6,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,7,8,4,6,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,4,8,6,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,3,6,8,5,2,7]=>[7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,8,5,3,2,4,6,7]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,7,3,4,2,5,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,8,3,4,2,5,7]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,8,7,5,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,5,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,8,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,7,8,4,2,3,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,2,1,6,7,5,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,8,3,1,7,5,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,7,4,1,5,8,3,6]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,6,4,7,8,3,5]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [5,7,8,3,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,1,8,4,6,7,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [6,5,8,3,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,5,8,4,6,7,2]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,5,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,4,8,2,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,1,8,3,4,2,5,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,7,6,3,4,5,8]=>[2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,2,2]=>3 [6,3,5,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,1,5,3,8,2,4,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,6,8,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,2,4,8,6,1,7,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,1,3,8,4,5,7,6]=>[2,1,3,8,5,6,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [3,1,2,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,1,3,7,8,4,6,5]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,1,3,8,4,7,6,5]=>[2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [3,1,2,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [1,2,8,7,5,4,6,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,6,7,2,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,6,5,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,7,5,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,8,7,4,6,5,3]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,4,6,8,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,1,6,4,3,7]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,4,7,1,8,3,6,5]=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1]=>1 [6,1,5,4,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [6,4,5,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,6,2,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,6,5,2,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,8,2,1,5,3,4,7]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,6,5,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,2]=>1 [2,6,3,7,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,6,7,4,5,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,5,4,7,6,2,8]=>[7,2,4,3,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,3,2,4,6,8,7]=>[5,2,4,3,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [6,5,3,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,4,5,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,6,4,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,3,7,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,8,7,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,6,5,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,4,7,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,6,2,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,2,6,8,3,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,1,7,2,4,6,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,4,7,8,2,6,5]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,5,4,3,8,7,2,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,2,5,8,4,3,6,7]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2,1]=>2 [1,5,8,2,6,4,3,7]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,2,5,6,7,8,9,1,4]=>[8,2,9,4,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>1 [6,1,8,4,3,5,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,6,4,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,8,4,1,5,3,6,7]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,1,8,3,5,2,6,7]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,1,8,2,5,4,6,7]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,4,8,6,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,8,1,2,5,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,6,8,2,1,4,7]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [2,4,5,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,8,2,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,5,8,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,3,6,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,7,2,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,7,8,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,7,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,6,2,4,3,8,5]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,1,6,2,4,5,3,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,7,1,6,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,5,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,5,3,4,8,2,6,7]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [2,8,6,5,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,5,2,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,2,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,1,5,7,2,4,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,3,2,4,8,6,5]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,1,8,2,6,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,8,1,3,2,5,7,6]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,7,5,3,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,3,8,1,4,7,6]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[3,3,1]=>1 [4,2,5,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,4,3,8,1,5,7,6]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [2,7,3,8,5,1,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,8,2,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,3,8,4,1,5,7,6]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,7,8,1,4,3,6,5]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,5,8,1,3,2,4,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,8,5,3,4,6,7]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,8,6,3,1,5,4,7]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,6,3,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [1,7,8,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,7,4,5,3,6]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,2,3,5,8,4,7]=>[1,7,3,4,5,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,8,5,6,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,8,4,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,8,6,4,7,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,3,2,1,7,8,4,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [7,6,2,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,5,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,5,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,3,4,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,1,3,4,8,7,2,6]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,3,4,8,7,2,6]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [3,6,5,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,3,6,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,6,5,8,4,1,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,3,1,7,4,8,6,5]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [2,3,8,7,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,3,7,4,1,5,8]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [7,5,2,3,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,3,6,4,2,7,5]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,7,4,8,5,3,6]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [4,2,8,1,3,6,7,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [7,4,6,3,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,1,3,7,2,5,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,5,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,6,5,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,2,1,7,8,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,2,7,8,6,4,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,8,1,2,6,5,3,7]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,2,5,1,6,4,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,7,1,4,6,3,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,3,8,5,7,1,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,8,3,1,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,7,1,6,5,8,2,4]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,6,8,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,4,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [5,3,8,1,4,2,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,8,1,4,2,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,7,5,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,5,1,8,3,7,6]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1]=>2 [1,4,7,6,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,6,7,8,9,3,4,5]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [2,5,6,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,2,1,5,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,3,5,8,7,4,1,6]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,3,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,3,5,8,1,6,4,7]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[3,2,2]=>1 [1,7,4,5,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,6,3,1,4,7]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,7,8,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,5,6,7,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,2,8,7,4,6,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,3,2,7,6,1,5,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [7,2,6,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,3,7,6,2,4,8,5]=>[1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,8,2,7,4,6,5]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [4,3,2,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [1,6,5,3,2,4,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [4,3,7,2,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [5,1,4,3,2,6,8,7]=>[5,2,4,3,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [1,6,8,7,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,6,1,8,5,2,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,4,8,7,3,6,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [6,2,4,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,6,1,5,8,7,4]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [6,2,3,5,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,3,8,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,4,8,5,6,2,7]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [3,2,7,1,8,6,5,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,3,8,5,6,7,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,2,7,4,8,1,5,6]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,5,4,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,6,3,1,2,5,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [2,5,6,4,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [5,4,1,6,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [5,4,1,2,7,6,3,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,7,3,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,8,1,4,5,3,6]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,1,2,8,7,3,6,5]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,7,8,1,2,4,6,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,8,2,7,4,5,1,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,8,4,2,3,7,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,7,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [2,8,1,5,3,7,6,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,8,2,4,7,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,8,4,7,1,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,8,2,3,5,6,4,7]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,2,3,8,4,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,3,7,6,4,5]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,6,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,2,3,7,4,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,8,3,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,5,6,4,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [3,1,7,8,5,2,4,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,6,3,5,2,8,4,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [2,5,4,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,2,5,4,8,6,3,7]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [5,3,4,1,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [1,3,5,4,8,2,6,7]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [3,5,4,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,4,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,3,5,1,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,5,4,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,4,8,5,6,1,2,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,4,8,5,6,2,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,6,2,5,4,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,2,1,5,6,8,4]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,1,5,6,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,3,7,8,2,6,4,5]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,1,6,5,3,8,7,4]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,7,5,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,4,5,2,6,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,5,8,4,6,2,7]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,6,5,8,2,1,3,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,8,3,5,6,2,7]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,8,7,4,2,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,1,8,5,7,2,6]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,7,2,4,5,8,1,6]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,2,7,4,6,1,8,5]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,6,7,2,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,3,2,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,1,6,3,2,5,7,8]=>[5,2,6,4,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[7,6,2]=>2 [3,6,1,5,2,4,7,8]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [3,7,6,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,2,4,5,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,6,4,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,8,7,4,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,7,2,4,5,8,6,3]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,7,5,3,4,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,7,2,6,4,5,8]=>[1,4,7,2,6,5,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,2,2,1,1,1]=>2 [1,6,5,2,4,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [1,7,3,8,4,2,5,6]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,4,7,5,8,3]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,7,4,3,8,5]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,2,3,6,4,7]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [2,5,3,6,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [6,4,1,5,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,7,3,8,5,6,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,7,4,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,3,1,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,2,6,8,7,4,5,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,5,6,7,3,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,7,8,2,4,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,8,2,1,3,5,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,6,4,5,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [1,3,5,8,7,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,6,7,2,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,6,1,3,8,7,4]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,4,1,2,5,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,3,5,4,7,1,8,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [2,8,3,6,4,1,7,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,5,3,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,7,8,4,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,3,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,8,1,7,2,4,3,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,7,3,8,1,4,6]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [2,6,4,7,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,6,5,7,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,3,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,5,1,3,8,4,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,1,3,2,6,8,4,7]=>[7,2,4,3,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,4,3,7,6,2,8,5]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,6,2,5,7,3,8,4]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,8,2,5,7,6]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,3,3,1,1,1,1]=>2 [1,5,7,3,6,4,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,7,2,4,8,3,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,2,8,4,1,5,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,3,8,4,5,7,1,6]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,8,3,2,6,5,7]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,2,6,8,4,3,5,7]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [5,8,4,1,3,7,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,4,4]=>2 [3,4,7,1,5,6,2,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,6,3,5,1,7,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,1,8,5,4,3,7,6]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [6,2,8,5,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,5,7,3,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,4,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,5,6,8,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,7,5,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,5,1,2,4,7,6]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,6,4,8,2,7,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,7,6,2,8,5,3,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,8,6,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,2,3,8,1,4,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,6,8,3,2,4,5,7]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,6,5,7,4,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,4,8,5,6,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,6,7,4,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,5,4,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,7,4,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,6,4,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [4,6,1,3,5,7,2,8]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,5,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,3,6,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,1,6,8,5,2,3,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,5,1,6,4,8,3,7]=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1]=>2 [3,2,4,5,8,6,1,7]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,2,1,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [4,2,3,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [4,5,1,3,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,4,5,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,3,1,2,5,4,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,5,8,2,4,3,7,6]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [3,8,5,1,2,6,7,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,8,5,7,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,8,7,3,2,4,5,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,3,7,2,4,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,5,6,7,4,2,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [5,1,6,7,3,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,5,2,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,4,8,3,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,7,8,3,6,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,5,8,1,2,7,6,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,4,3,6,8,5,2,7]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,7,1,5,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,1,4,8,3,6,5]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,5,6,8,4,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,3,1,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,6,8,2,1,5,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,7,3,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,5,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [3,5,7,8,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,7,3,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,4,7,8,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,2,7,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,2,4,6,5,8,3,7]=>[1,2,7,5,4,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2,1]=>2 [5,4,2,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [3,5,8,1,7,4,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,4,3,8,2,6,7]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [3,8,1,4,6,2,5,7]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,4,5,3,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,5,8,4,6,1,3,7]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,6,4,2,8,1,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,8,6,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [3,8,6,2,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,1,8,2,4,6,5,7]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,4,8,6,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,1,5,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,5,3,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,8,1,3,7,2,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,2,6,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,4,8,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,4,7,8,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,4,7,8,6,3,5]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2]=>2 [2,4,5,8,1,6,3,7]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [1,8,5,6,4,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,6,2,4,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,7,2,5,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,1,8,6,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,7,5,6,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,5,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,7,8,9,1,2,3,5]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [5,7,8,9,1,2,3,4,6]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [2,7,1,5,3,8,6,4]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,5,7,2,8,4,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,3,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,8,3,4,1,7,6,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,6,7,1,4,5,8,3]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,2,5,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,3,4,1,5,8,6]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,8,1,6,7,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [6,2,8,3,4,5,1,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,1,3,7,2,8,4,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [3,6,4,1,2,5,8,7]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,6,1]=>2 [5,2,7,1,4,3,6,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [6,3,1,4,2,5,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [5,2,3,1,4,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [3,5,4,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,5,7,2,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,5,1,7,6,2,8,4]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,1,7,6,5,3,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,3,6,7,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [3,6,1,2,7,8,5,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,1,3,6,7,5,2,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,1,4,5,7,6,2,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,5,1,2,4,6,7]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,8,4,1,2,3,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,8,1,4,2,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,8,5,7,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,7,5,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,4,7,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,4,2,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,7,5,2,6,3,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,4,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,4,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,2,6,1,8,3,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,8,3,2,4,1,5,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,4,8,2,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,8,3,2,6,5,7]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,3,8,4,2,7,5,6]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [2,1,6,7,8,9,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [5,7,3,8,2,4,6,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>3 [3,6,7,8,5,2,4,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>3 [6,7,4,8,3,5,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>3 [5,6,7,8,4,3,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[7]=>3 [5,8,4,2,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,6,4,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,4,2,8,1,6,3,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,7,5,4,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,6,3,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [8,6,7,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [4,3,7,1,6,2,5,8]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [4,3,1,6,7,2,5,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [6,3,1,5,7,2,4,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,2,1,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [3,2,8,4,1,6,5,7]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,7,6,4,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,3,1,6,7,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,5,8,3,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,7,1,3,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,3,2,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,7,1,4,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,3,7,1,5,4,8]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,1,3,4,5,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [7,1,3,4,5,6,2,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,5,1,3,6,4,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,2,6,8,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,9,4,7,2,5,1,3,8]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [2,5,1,3,6,7,8,9,10,4]=>[3,10,1,4,5,6,7,8,9,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,9,10,2,6,7,1,3,4,8]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [5,3,4,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [7,6,9,5,4,3,2,1,8]=>[8,7,9,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>1 [4,8,5,7,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,2,3,7,6,1,8,5]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [4,2,6,3,1,5,7,8]=>[5,4,6,2,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[7,6,2]=>2 [5,8,4,3,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,5,7,4,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,8,6,4,3,5]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,5,1,7,8,6,2,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,1,9,5,6,7,8,4,3]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [1,9,4,5,6,7,8,3,2]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [5,4,3,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,4,9,1,8,2,7,3,6]=>[8,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>1 [5,4,6,3,9,1,8,2,7]=>[8,6,4,3,9,2,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>2 [4,5,9,1,8,2,7,3,6]=>[8,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[2]=>1 [6,4,5,3,9,1,8,2,7]=>[8,6,4,3,9,2,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[4]=>2 [5,6,4,10,1,9,2,8,3,7]=>[9,7,5,10,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[3]=>1 [5,4,7,3,6,2,9,1,8]=>[8,6,5,4,3,2,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[6]=>3 [5,6,4,7,3,10,1,9,2,8]=>[9,7,5,4,3,10,2,8,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[5]=>2 [2,9,1,3,4,5,6,7,10,8]=>[3,10,1,4,5,6,7,8,9,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,8,2,5,6,3,7]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,4,2,7,3,8,5]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,2,5,8,6,3,7]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [2,1,8,9,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [4,8,2,1,5,7,3,6]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,7,1,6,3,4,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,2,5,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,1,2,4,6,3,7]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,7,3,6,4,2,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,1,7,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,7,5,6,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,4,8,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,1,4,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [5,2,4,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [1,8,6,7,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,1,4,2,3,5,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,3,7,6,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,2,5,6,3,4]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,7,4,3,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,4,8,7,6,1,3]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,8,7,6,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,2,6,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,8,1,3,4,2,5,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,1,4,7,8,2,5]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,7,1,3,6,4,8]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>2 [1,4,7,2,5,3,6,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [4,5,3,1,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [4,5,1,3,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [4,1,5,3,2,7,6,8]=>[5,2,4,3,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[7,5,5]=>3 [7,3,5,1,4,2,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,3,6,7,1,5,8]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,3]=>2 [7,3,5,2,1,6,4,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,5,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,1,5,3,7,2,4,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,5,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [8,7,6,4,5,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [9,11,1,2,3,4,5,6,7,8,10]=>[10,11,3,4,5,6,7,8,9,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1]=>0 [1,6,8,7,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,2,4,6,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,2,6,7,5,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,5,1,6,8,3,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,6,1,2,4,5,7]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,8,5,3,2,7,4,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,7,2,3,5,6]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,8,1,7,5,4,6]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [7,1,5,6,2,3,4,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,5,1,7,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,8,2,7,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,8,2,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,7,8,1,5,2,6,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,10,7,5,9,4,3,6,8]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [2,1,10,8,5,3,6,4,9,7]=>[2,1,10,9,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [2,1,10,9,4,6,7,3,5,8]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [8,5,3,7,2,1,4,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [8,6,3,1,4,2,7,5,10,9]=>[8,7,6,4,5,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [8,7,2,4,5,1,3,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [1,5,4,7,8,3,6,2]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,1,5,6,2,3,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,7,8,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,7,8,5,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,4,5,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,7,8,3,1,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,4,3,5,6,8,2,7]=>[1,7,3,4,5,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [4,6,1,7,3,2,8,5]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,3,6,4,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,3,5,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,4,2,3,5,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [4,8,3,5,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,8,4,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,7,1,6,8,2,3,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,7,8,2,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,3,8,7,1,4,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,6,4,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,7,8,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,5,3,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,3,5,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [4,5,3,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,7,6,4,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,8,4,7,1,3,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,3,6,5,7,2,8]=>[7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,3,5,7,2,8,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [5,1,8,2,4,6,3,7]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,2,1,4,5,3,7]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,5,8,6,7,2,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,1,10,7,4,9,6,3,8,5]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [2,1,10,9,4,3,6,7,8,5]=>[2,1,10,9,6,5,8,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [2,1,10,9,4,5,6,3,8,7]=>[2,1,10,9,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [8,5,2,7,4,1,6,3,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [8,7,2,1,4,5,6,3,10,9]=>[8,7,4,3,6,5,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [8,7,2,3,4,1,6,5,10,9]=>[8,7,6,4,5,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,8]=>4 [3,7,6,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,3,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,3,5,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,7,2,6,5,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,7,2,6,4,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,8,3,5,4,6]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,6,2,8,5,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,2,7,8,3,4,6,5]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,7,6,8,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,8,6,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,1,3,4,8,2,7,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [2,1,5,6,3,8,7,4]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [2,4,5,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,8,7,3,5,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,8,2,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [1,7,3,4,8,5,2,6]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,6,4,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,8,3,4,6,2,7]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,3,8,4,2,5,7,6]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,2,2,1,1,1,1]=>2 [1,4,7,6,2,3,8,5]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,8,4,6,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,6,5,8,2,4,7]=>[1,6,7,4,8,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1,1,1,1]=>2 [1,4,6,3,2,8,5,7]=>[1,5,7,4,2,8,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,2,1,1,1,1]=>2 [5,2,6,8,1,4,3,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,7,3,5,4,1,8,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,7,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,1,4,8,5,3,7,6]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2,2,2,2]=>2 [2,7,3,8,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,3,1,5,4,8,7]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1]=>2 [1,5,8,3,4,7,2,6]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,3,8,1,4,6,2,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,5,8,1,3,6,2,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,3,7,2,8,6,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [4,6,3,1,7,2,8,5]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,7,2,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,1,7,5,4,6,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,2,7,8,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,3,2,1,7,5,6]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,9,8,7,6,4,3,2,5]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,9,8,7,5,4,3,2,6]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,9,8,6,5,4,3,2,7]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,9,7,6,5,4,3,2,8]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,9,8,7,6,5,2,3,4]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,8,7,6,5,3,2,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,9,8,7,6,3,4,2,5]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,8,7,6,4,3,2,5]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,9,8,7,4,5,3,2,6]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,8,7,5,4,3,2,6]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,9,8,5,6,4,3,2,7]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,8,6,5,4,3,2,7]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,8,4,5,6,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,9,6,7,5,4,3,2,8]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,7,6,5,4,3,2,8]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,7,8,6,5,4,3,2,9]=>[1,8,7,6,5,4,3,2,9]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,1,1,1,1,1,1]=>3 [1,10,8,7,6,5,4,3,2,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [3,4,8,1,6,7,2,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,7,8,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,7,8,4,6,2,5]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [3,1,7,8,4,6,2,5]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,8,1,6,7,2,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,8,7,3,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,8,4,3,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,8,3,7,5,2,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,8,3,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,6,5,8,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,3,7,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,4,7,1,3,6,5]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [6,8,3,4,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,9,3,4,5,6,2,1,8]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1]=>0 [3,6,1,4,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [3,8,2,4,5,1,7,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,4,6,3,5,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,3,6,5,7,2,4,8]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,1,1,1,1]=>2 [1,7,2,5,6,4,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,8,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,7,8,4,3,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,8,5,3,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,8,5,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,7,6,8,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,4,3,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,6,1,2,3,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,8,7,6,5,4,3,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [2,1,4,9,8,7,6,5,3]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [3,7,6,5,4,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [1,7,6,2,3,8,5,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,5,1,3,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,4,3,8,6,2,7]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,3,7,5,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,3,5,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,7,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,5,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,5,6,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,1,2,7,8,4,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,6,7,4,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,4,2,6,7,5,3,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,8,2,4,6,5,3,7]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,7,2,3,6,5]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [4,1,3,6,5,8,2,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,7,1,5,8,2,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,6,5,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,6,2,7,4,3,5]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,5,6,4,3,7]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,7,5,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,5,7,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,5,2,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,4,3,1,8,5,2,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,5,7,2,4,3,8,6]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,2,7,5,8,4,3,6]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [5,1,3,8,2,7,4,6]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [5,7,1,3,2,8,4,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,7,8,3,2,5,6]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,8,2,7,6,3,5,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,8,4,3,5,1,2,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,2,7,4,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,3,5,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [6,4,5,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,7,6,2,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>1 [4,7,6,1,3,2,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,2,6,5,4,3,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [2,8,1,3,5,6,4,7]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,6,4,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,3,6,2,5,8,7]=>[5,2,3,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [7,1,4,6,3,2,5,8]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,8,1,5,4,3,6]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,5,2,6,8,7,4,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,7,5,2,6,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,6,7,5,2,8,4]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,1,6,2,3,8,7,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,5,4,8,3,2,6,7]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [1,5,7,6,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,3,1,7,8,4,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,1,7,8,3,5,4,6]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [1,5,8,6,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,8,2,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,8,6,3,2,1,7,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,8,1,3,5,2,7,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,6,5,2,8,7,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,7,2,5,8,3,6]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,2,5,8,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [6,4,7,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,1,6,2,8,7,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[3,3,3]=>1 [5,2,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,2,8,5,4,6,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,7,3,2,8,5,6]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,2,6,3,7,8,5,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [3,6,8,5,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,6,4,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,8,6,1,5,2,4,7]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,8,1,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [5,8,7,3,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,4,7,6,8,2,1,5]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,1,3,7,5,6,4]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,8,7,2,5,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,4,7,1,5,8,2,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,6,2,5,8,3,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,8,2,5,7,3,4,6]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,6,3,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [4,5,6,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,4,6,5,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [1,4,8,3,7,6,2,5]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [1,4,5,3,7,2,6,8]=>[1,6,4,3,7,2,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1,1,1,1]=>2 [3,1,6,7,2,8,5,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [1,7,4,8,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [7,4,2,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,2,4,3,1,5,6,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,7,2,8,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,6,5,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [1,8,7,5,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,3,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,3,6,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,5,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,2,3,6,5,8]=>[1,5,7,4,2,6,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,2,1,1,1,1]=>2 [1,7,2,5,6,3,4,8]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,2,6,5,8,3,4,7]=>[1,2,7,6,8,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,2,2,2,2,1]=>2 [1,5,8,2,6,3,4,7]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,1,1,1,1,1]=>1 [5,7,2,1,3,6,4,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,6,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,7,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,5,6,4,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>2 [2,1,5,6,4,8,3,7]=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,2,2,2,2]=>2 [1,6,7,2,8,5,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,7,2,6,1,3,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,8,2,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,7,4,3,2,1,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [7,5,4,3,1,2,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [6,4,1,3,2,5,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [4,1,7,8,3,2,5,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,4,7,1,3,6,2,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,2,1,3,6,4,7]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,6,4,3,5,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [7,6,3,5,4,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [1,8,3,5,2,6,4,7]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,3,8,7,4,5,1,6]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,8,3,5,7,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,8,4,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,1,2,6,4,3,5,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,1,2,6,5,3,4,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,7,5,6,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,3,6,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,4,3,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,1,2,6,8,7,4]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,4,1,2,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,5,5]=>2 [1,6,7,2,5,8,3,4]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,3,8,6,2,4,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,7,4,6,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,7,4,8,3,1,5,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,2,8,1,3,7,5,6]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,7,2,5,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,5,7,4,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,4,7,6,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,8,5,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,5,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,7,6,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,9,1,10,7,4,3,5,6,8]=>[3,10,1,9,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,4,8,1,5,2,3,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [7,2,4,1,6,3,5,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,1,5,3,4,8,7]=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [2,8,7,3,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,6,7,1,3,2,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,1,6,5,2,4,8,7]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,6,2]=>2 [2,5,3,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,7,1,5,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,4,1,3,2,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,5,2,1,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,5,1,6,4,3,8,7]=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1]=>2 [3,6,2,8,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,2,5,7,6,3,8]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,1,3,6,4,8,7,5]=>[2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [1,6,4,3,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,5,1,8,6,4,7,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,5,8,7,3,1,4,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,1]=>0 [3,8,7,2,6,1,4,5]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,5,1,8,3,6,4,7]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1]=>2 [5,8,4,7,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,8,6,1,2,5,7]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,8,1,3,4,7,2,6]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,2,4,5,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,7,4,6,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,2,8,5,4,1,6,7]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,7,1,2,6,3,4,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,1,2,3,6,5,7]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [1,3,5,7,8,6,4,2,9]=>[1,8,7,6,5,4,3,2,9]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,1,1,1,1,1,1]=>3 [4,5,1,3,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,6,5]=>3 [6,4,7,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,2,1,6,4,7,3,8]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,7,2,5,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,2,8,6,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,5,4,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,8,3,6,2,7,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [2,7,1,5,8,6,4,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,4,6,9,7,8,5,3,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [3,6,4,9,7,8,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [4,6,3,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,4,6,7,8,9,1,3,5]=>[7,8,9,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[2,1]=>0 [2,5,6,7,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,8,3,4,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,1,7,6,2,8,3,5]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,8,2,7,5,3,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,1,7,2,8,5,3,6]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,7,3,2,8,4,1,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,8,6,1,7,5,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,6,8,1,7,5,3,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,4,6,5,3,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [2,4,5,8,7,1,3,6]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [2,8,5,7,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,7,2,6,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,4,7,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,6,8,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,8,5,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,6,4,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,6,7,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [7,4,5,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,3,2,6,1,7,5]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,3,7,6,1,5,2,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,6,8,5,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,4,8,7,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,4,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,4,2,8,5,6,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,2,1,7,4,6,8,5]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [6,2,5,7,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,8,5,3,1,2,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,5,3,4,7,2,6,8]=>[1,6,4,3,7,2,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,1,1,1,1]=>2 [3,1,8,7,6,2,5,4]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,3,8,6,7,2,5,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,2,3,6,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [3,2,6,4,7,1,5,8]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,2]=>2 [1,5,7,6,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,8,6,5,3,4]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,6,7,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,4,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,8,5,3,2,7,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,2,4,8,5,7,3,6]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [5,6,3,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,7,1,5,6,4,8,3]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,5,7,8,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,5,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,1,5,6,4,7,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,7,2,8,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,2,1,8,4,7,5]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,5,2,8,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,1,8,5,3,2,6]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [6,1,5,4,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,3,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,4,6,1,8,2,7,5]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [5,3,1,4,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,5,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,3,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,5,3,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,1,2,7,6,3,4,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,6,1,7,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,6,8,1,2,7,4]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,6,5,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [2,6,1,3,5,4,7,8]=>[3,6,1,4,5,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,1,1]=>2 [2,8,6,5,1,3,7,4]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,8,2,7,5,1,4]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,3,6,2,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,6,4,5,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,4,5,7,2,8,3]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,6,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,5,6,7,3,2,4,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [4,5,6,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,3,8,6,5,2,7,4]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,2,8,5,7,4,6,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,6,8,5,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,1,3,8,6,4,7,5]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [1,5,8,6,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,1,8,4,7,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [3,7,6,2,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,6,2,3,7,1,8,5]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,6,1,5,3,8,4]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,4,7,2,1,3,8,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [7,8,2,3,4,5,1,6,9]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,8,9,3,4,5,6,2,7]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [2,6,4,5,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,4,6,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,5,7,6,4,1,8,3]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,2,5,3,7,8,6,4]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [4,8,3,5,1,2,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,5,4,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,1,5,8,2,6,7,4]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,8,5,3,1,7,4,6]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,1,3,7,5,8,4,6]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [2,3,8,7,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,6,8,2,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,7,2,3,5,1,8,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,4,2,1,3,7,5,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,5,7,1,9,3,8,2,6,10]=>[8,6,9,4,7,2,5,1,3,10]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[9,2]=>2 [4,9,3,10,5,7,1,8,2,6]=>[9,10,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1]=>0 [1,8,7,2,3,4,6,5]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,3,7,6,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,3,8,2,5,6,4,7]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,1,1,1]=>2 [1,3,8,4,6,2,7,5]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [5,6,4,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,7,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,7,5,8,6,3,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [2,1,9,8,7,6,5,3,4]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [2,1,9,8,7,6,4,3,5]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [2,1,9,8,7,6,3,5,4]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [2,1,10,9,8,7,6,5,3,4]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,2]=>4 [1,7,8,4,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,2,5,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,4,2,1,7,3,5,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,4,2,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,5,8,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,7,5,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,3,7,1,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [2,8,4,3,5,1,7,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [7,2,6,4,1,5,3,8]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,5,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,7,3,8,2,5,4,6]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,1,6,5,8,4,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [2,7,1,4,8,6,5,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [6,7,5,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,2,7,1,4,3,5,8]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,3,2,6,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,6,8,4,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,2,8,6,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,8,5,6,4,1,7,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,4,7,3,5,8,6,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,8,2,5,1,6,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,7,4,8,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,5,6,8,1,4,7,3]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [7,4,1,6,5,2,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,6,5,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [1,6,4,7,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,5,3,2,7,4,8]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [1,6,8,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,4,3,2,8,6]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,5,3,2,8,6]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,1,1,1,1,1]=>2 [1,7,4,6,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,8,5,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,5,8,4,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,3,1,6,2,5,8,7]=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,6,3]=>2 [5,3,1,4,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [3,6,8,5,1,4,2,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [5,2,4,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,5,3,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,7,1,2,5,6,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [7,4,1,2,5,6,3,8]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,4,7,8,5,6,3]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,8,9,4,5,6,7,3]=>[1,2,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [5,3,1,8,4,2,6,7]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,1,6,5,8,7,3,4]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>3 [3,1,8,4,2,7,6,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [2,8,7,4,1,3,6,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,1,3,6,5,2,8,7]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [4,6,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [2,4,3,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [3,5,4,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,6]=>3 [3,4,6,5,7,1,2,9,8]=>[7,6,4,3,5,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,7]=>3 [4,8,7,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [5,9,8,7,6,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [5,8,7,4,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,4,7,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [5,7,4,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,8,3,4,5,6,9,7]=>[1,2,9,4,5,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,8,5,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,2,6,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,5,8,7,2,3,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,3,6,8,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,1,3,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,4,1,2,5,7,8]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[7,6,1]=>2 [4,7,1,3,2,5,8,6]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,7,1,3,2,6,8,5]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,8,5,2,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,7,5,4,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,7,1,3,2,8,5,6]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [3,6,5,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[4,1]=>1 [10,9,8,7,6,5,4,2,1,3,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10]=>5 [8,7,6,5,2,1,4,3,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [10,9,8,7,6,5,3,2,1,4,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10]=>5 [8,7,6,3,2,5,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [10,9,8,7,5,4,3,2,1,6,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10]=>5 [8,5,4,7,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [10,9,8,6,5,4,3,2,1,7,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10]=>5 [10,8,7,6,5,4,3,2,1,9,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10]=>5 [6,3,1,5,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,7,5,3,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,3,8,7,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,8,2,6,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,5,8,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,5,4,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,5,1,8,6,2,4,7]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[3,1]=>1 [8,7,5,6,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,6,5,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [8,5,6,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [6,7,5,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [7,6,5,3,2,1,4,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [9,8,7,6,4,3,2,5,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [9,8,7,6,4,3,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [1,8,7,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,4,3,5,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [5,7,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,1,3,7,6,5,2,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [8,7,6,5,4,2,3,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,10,9,8,6,5,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [2,7,1,5,3,6,8,4]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [1,8,6,2,4,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,3,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [6,8,1,2,3,4,5,9,7]=>[7,9,3,4,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>1 [3,5,7,6,1,4,2,8,9]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [4,6,7,8,3,1,5,2,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [4,6,7,8,3,1,5,2,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,8]=>4 [5,7,8,3,9,4,1,6,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9]=>4 [2,1,3,8,5,4,6,7]=>[2,1,3,8,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [5,3,6,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,7,8,6,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,7,4,2,5,1,8,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,3,4,5,7,2,6]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,7,5,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,5,2,6,8,3,1,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [7,1,2,3,4,6,5,8,9]=>[7,2,3,4,5,6,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,7]=>3 [4,5,7,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,8,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [6,5,8,2,3,4,1,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [1,7,2,4,8,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,8,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,7,3,1,8,5,6,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [3,8,5,2,1,6,7,4]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,6,1,5,7,4,3]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [4,8,7,1,2,5,3,6]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,1,3,5,8,2,6,7]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[4,4]=>2 [1,8,5,7,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,7,6,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,2,8,6,5,3,4]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,1,6,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,4,6,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [3,8,5,1,4,2,6,7]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,6,2,5,3,8,4]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,2,4,3,8,6]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,8,5,1,4,3,6,7]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [1,9,8,5,6,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,9,8,5,4,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,9,5,6,7,8,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [1,9,5,4,6,7,8,3,2]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,10,4,5,6,7,8,9,3,2]=>[1,10,9,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1,1]=>4 [3,1,2,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3]=>2 [4,8,2,3,7,5,1,6]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,6,8,7,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,8,7,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,1,8,4,5,2,7,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [2,3,7,6,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [4,8,5,2,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [5,8,4,2,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [4,6,7,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,4,5,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,7,2,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,8,4,7,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [4,6,1,3,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,1,3,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [2,4,7,6,1,8,3,5]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,1,1]=>1 [2,1,7,8,9,3,4,5,6]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2]=>3 [1,6,2,3,8,5,7,4]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,2,8,7,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,8,5,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [3,8,1,2,4,7,6,5]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,3,8,1,4,6,5,7]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,8,4,6,2,5,7]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [4,2,7,3,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [3,1,8,4,5,6,2,7]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,2,7,8,6,3,1,5]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [2,3,7,4,8,1,6,5]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,6,3,5,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,4,5,7,1,6,8,3]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,5,7,8,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,7,5,4,6,2,3,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [6,2,7,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,2,6,7,8,3,5,4]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,2,2,2,2,1]=>3 [1,2,4,8,6,7,3,5]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,2,2,2,2,1]=>2 [2,6,1,4,7,5,8,3]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2 [4,6,3,1,2,7,8,5]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [5,4,8,7,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8]=>4 [1,6,3,7,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,3,8,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,8,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,5,8,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,5,8,2,6,7]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,4,1,1,1,1,1]=>2 [2,1,3,8,6,4,5,7]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,3,3,3,3,2]=>3 [1,3,6,4,5,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,1,1,1,1,1]=>3 [6,1,4,3,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,5,1,3,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4]=>2 [1,4,3,8,6,2,5,7]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,1,1,1,1,1]=>2 [4,1,3,8,6,2,5,7]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,3]=>1 [2,7,8,3,6,1,5,4]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,7,8,3,6,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,5,8,1,7,3,2,6]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2]=>1 [4,6,7,1,3,8,2,5]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,3,1,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [2,9,3,4,5,6,1,7,8]=>[7,9,3,4,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,1]=>1 [2,7,3,4,1,8,5,6]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,1,1]=>1 [2,8,3,4,5,1,6,9,7]=>[6,9,3,4,5,1,7,8,2]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1]=>1 [4,5,3,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [2,3,7,8,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[2,2,2]=>1 [6,5,2,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [5,7,2,4,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [6,2,5,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,2,6,3,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [6,4,1,8,5,2,3,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [6,3,4,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,6,7,5,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,5,4,2,6,3,7]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,7,3,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,8,6,1,2,4,3,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [1,4,5,7,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,3,1,7,8,5,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1]=>2 [5,3,2,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [5,3,7,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,2,7,5,4,1,8,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,2]=>1 [1,7,3,5,4,2,6,8]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,1,1,1,1,1]=>3 [7,1,5,2,4,3,6,8]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [3,6,8,7,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [3,6,5,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [1,8,3,6,2,4,7,5]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,8,7,5,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,8,2,1,5,4,3,7]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,9,1,10,8,7,3,4,5,6]=>[3,10,1,9,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [6,3,2,1,5,8,4,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,3,5,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [4,5,3,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[5]=>2 [2,5,4,7,1,8,3,6]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[3,1,1]=>1 [1,5,6,7,8,9,3,2,4]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1,1]=>4 [1,2,6,7,8,9,4,3,5]=>[1,2,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2,2,1]=>3 [1,3,8,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,5,3,7,1,8,4]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,1]=>1 [1,8,6,3,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [5,2,3,8,6,1,4,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[3]=>1 [1,4,3,8,5,6,2,7]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,1,1,1,1,1]=>2 [5,1,3,6,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,6]=>3 [6,1,2,4,7,5,3,8]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [4,3,6,2,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,6,5,7,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [2,6,5,4,8,7,1,3]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [5,6,7,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [1,8,5,2,7,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,6,8,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,7,8,6,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,6,3,4,2,5,8,7]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,6,1,1,1,1,1]=>3 [1,5,7,6,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [1,4,3,7,6,2,5,8]=>[1,6,3,7,5,2,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,1,1,1,1]=>2 [1,3,7,4,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,1]=>3 [4,8,3,1,7,6,2,5]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1]=>0 [2,6,7,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7]=>3 [2,4,1,7,5,6,8,3]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1]=>2