=>

[1]=>[1]=>[1]=>[1,0]=>0 [1,2]=>[2,1]=>[1,1]=>[1,0,1,0]=>0 [2,1]=>[1,2]=>[2]=>[1,1,0,0]=>1 [1,2,3]=>[3,2,1]=>[1,1,1]=>[1,0,1,0,1,0]=>0 [1,3,2]=>[3,1,2]=>[1,2]=>[1,0,1,1,0,0]=>1 [2,1,3]=>[2,3,1]=>[2,1]=>[1,1,0,0,1,0]=>2 [2,3,1]=>[2,1,3]=>[1,2]=>[1,0,1,1,0,0]=>1 [3,1,2]=>[1,3,2]=>[2,1]=>[1,1,0,0,1,0]=>2 [3,2,1]=>[1,2,3]=>[3]=>[1,1,1,0,0,0]=>1 [1,2,3,4]=>[4,3,2,1]=>[1,1,1,1]=>[1,0,1,0,1,0,1,0]=>0 [1,2,4,3]=>[4,3,1,2]=>[1,1,2]=>[1,0,1,0,1,1,0,0]=>1 [1,3,2,4]=>[4,2,3,1]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>2 [1,3,4,2]=>[4,2,1,3]=>[1,1,2]=>[1,0,1,0,1,1,0,0]=>1 [1,4,2,3]=>[4,1,3,2]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>2 [1,4,3,2]=>[4,1,2,3]=>[1,3]=>[1,0,1,1,1,0,0,0]=>1 [2,1,3,4]=>[3,4,2,1]=>[2,1,1]=>[1,1,0,0,1,0,1,0]=>2 [2,1,4,3]=>[3,4,1,2]=>[2,2]=>[1,1,0,0,1,1,0,0]=>3 [2,3,1,4]=>[3,2,4,1]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>2 [2,3,4,1]=>[3,2,1,4]=>[1,1,2]=>[1,0,1,0,1,1,0,0]=>1 [2,4,1,3]=>[3,1,4,2]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>2 [2,4,3,1]=>[3,1,2,4]=>[1,3]=>[1,0,1,1,1,0,0,0]=>1 [3,1,2,4]=>[2,4,3,1]=>[2,1,1]=>[1,1,0,0,1,0,1,0]=>2 [3,1,4,2]=>[2,4,1,3]=>[2,2]=>[1,1,0,0,1,1,0,0]=>3 [3,2,1,4]=>[2,3,4,1]=>[3,1]=>[1,1,1,0,0,0,1,0]=>2 [3,2,4,1]=>[2,3,1,4]=>[2,2]=>[1,1,0,0,1,1,0,0]=>3 [3,4,1,2]=>[2,1,4,3]=>[1,2,1]=>[1,0,1,1,0,0,1,0]=>2 [3,4,2,1]=>[2,1,3,4]=>[1,3]=>[1,0,1,1,1,0,0,0]=>1 [4,1,2,3]=>[1,4,3,2]=>[2,1,1]=>[1,1,0,0,1,0,1,0]=>2 [4,1,3,2]=>[1,4,2,3]=>[2,2]=>[1,1,0,0,1,1,0,0]=>3 [4,2,1,3]=>[1,3,4,2]=>[3,1]=>[1,1,1,0,0,0,1,0]=>2 [4,2,3,1]=>[1,3,2,4]=>[2,2]=>[1,1,0,0,1,1,0,0]=>3 [4,3,1,2]=>[1,2,4,3]=>[3,1]=>[1,1,1,0,0,0,1,0]=>2 [4,3,2,1]=>[1,2,3,4]=>[4]=>[1,1,1,1,0,0,0,0]=>1 [1,2,3,4,5]=>[5,4,3,2,1]=>[1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0]=>0 [1,2,3,5,4]=>[5,4,3,1,2]=>[1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0]=>1 [1,2,4,3,5]=>[5,4,2,3,1]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>2 [1,2,4,5,3]=>[5,4,2,1,3]=>[1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0]=>1 [1,2,5,3,4]=>[5,4,1,3,2]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>2 [1,2,5,4,3]=>[5,4,1,2,3]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [1,3,2,4,5]=>[5,3,4,2,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>2 [1,3,2,5,4]=>[5,3,4,1,2]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,2,5]=>[5,3,2,4,1]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>2 [1,3,4,5,2]=>[5,3,2,1,4]=>[1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0]=>1 [1,3,5,2,4]=>[5,3,1,4,2]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>2 [1,3,5,4,2]=>[5,3,1,2,4]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [1,4,2,3,5]=>[5,2,4,3,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>2 [1,4,2,5,3]=>[5,2,4,1,3]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [1,4,3,2,5]=>[5,2,3,4,1]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [1,4,3,5,2]=>[5,2,3,1,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [1,4,5,2,3]=>[5,2,1,4,3]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>2 [1,4,5,3,2]=>[5,2,1,3,4]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [1,5,2,3,4]=>[5,1,4,3,2]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>2 [1,5,2,4,3]=>[5,1,4,2,3]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [1,5,3,2,4]=>[5,1,3,4,2]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [1,5,3,4,2]=>[5,1,3,2,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [1,5,4,2,3]=>[5,1,2,4,3]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [1,5,4,3,2]=>[5,1,2,3,4]=>[1,4]=>[1,0,1,1,1,1,0,0,0,0]=>1 [2,1,3,4,5]=>[4,5,3,2,1]=>[2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0]=>2 [2,1,3,5,4]=>[4,5,3,1,2]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [2,1,4,3,5]=>[4,5,2,3,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [2,1,4,5,3]=>[4,5,2,1,3]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [2,1,5,3,4]=>[4,5,1,3,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [2,1,5,4,3]=>[4,5,1,2,3]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [2,3,1,4,5]=>[4,3,5,2,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>2 [2,3,1,5,4]=>[4,3,5,1,2]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,1,5]=>[4,3,2,5,1]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>2 [2,3,4,5,1]=>[4,3,2,1,5]=>[1,1,1,2]=>[1,0,1,0,1,0,1,1,0,0]=>1 [2,3,5,1,4]=>[4,3,1,5,2]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>2 [2,3,5,4,1]=>[4,3,1,2,5]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [2,4,1,3,5]=>[4,2,5,3,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>2 [2,4,1,5,3]=>[4,2,5,1,3]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [2,4,3,1,5]=>[4,2,3,5,1]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [2,4,3,5,1]=>[4,2,3,1,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [2,4,5,1,3]=>[4,2,1,5,3]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>2 [2,4,5,3,1]=>[4,2,1,3,5]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [2,5,1,3,4]=>[4,1,5,3,2]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>2 [2,5,1,4,3]=>[4,1,5,2,3]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [2,5,3,1,4]=>[4,1,3,5,2]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [2,5,3,4,1]=>[4,1,3,2,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [2,5,4,1,3]=>[4,1,2,5,3]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [2,5,4,3,1]=>[4,1,2,3,5]=>[1,4]=>[1,0,1,1,1,1,0,0,0,0]=>1 [3,1,2,4,5]=>[3,5,4,2,1]=>[2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0]=>2 [3,1,2,5,4]=>[3,5,4,1,2]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [3,1,4,2,5]=>[3,5,2,4,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [3,1,4,5,2]=>[3,5,2,1,4]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [3,1,5,2,4]=>[3,5,1,4,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [3,1,5,4,2]=>[3,5,1,2,4]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [3,2,1,4,5]=>[3,4,5,2,1]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>2 [3,2,1,5,4]=>[3,4,5,1,2]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>3 [3,2,4,1,5]=>[3,4,2,5,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [3,2,4,5,1]=>[3,4,2,1,5]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [3,2,5,1,4]=>[3,4,1,5,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [3,2,5,4,1]=>[3,4,1,2,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [3,4,1,2,5]=>[3,2,5,4,1]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>2 [3,4,1,5,2]=>[3,2,5,1,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [3,4,2,1,5]=>[3,2,4,5,1]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [3,4,2,5,1]=>[3,2,4,1,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [3,4,5,1,2]=>[3,2,1,5,4]=>[1,1,2,1]=>[1,0,1,0,1,1,0,0,1,0]=>2 [3,4,5,2,1]=>[3,2,1,4,5]=>[1,1,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [3,5,1,2,4]=>[3,1,5,4,2]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>2 [3,5,1,4,2]=>[3,1,5,2,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [3,5,2,1,4]=>[3,1,4,5,2]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [3,5,2,4,1]=>[3,1,4,2,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [3,5,4,1,2]=>[3,1,2,5,4]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [3,5,4,2,1]=>[3,1,2,4,5]=>[1,4]=>[1,0,1,1,1,1,0,0,0,0]=>1 [4,1,2,3,5]=>[2,5,4,3,1]=>[2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0]=>2 [4,1,2,5,3]=>[2,5,4,1,3]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [4,1,3,2,5]=>[2,5,3,4,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [4,1,3,5,2]=>[2,5,3,1,4]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [4,1,5,2,3]=>[2,5,1,4,3]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [4,1,5,3,2]=>[2,5,1,3,4]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [4,2,1,3,5]=>[2,4,5,3,1]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>2 [4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>3 [4,2,3,1,5]=>[2,4,3,5,1]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [4,2,3,5,1]=>[2,4,3,1,5]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [4,2,5,1,3]=>[2,4,1,5,3]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [4,2,5,3,1]=>[2,4,1,3,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [4,3,1,2,5]=>[2,3,5,4,1]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>2 [4,3,1,5,2]=>[2,3,5,1,4]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>3 [4,3,2,1,5]=>[2,3,4,5,1]=>[4,1]=>[1,1,1,1,0,0,0,0,1,0]=>2 [4,3,2,5,1]=>[2,3,4,1,5]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>3 [4,3,5,1,2]=>[2,3,1,5,4]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [4,3,5,2,1]=>[2,3,1,4,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [4,5,1,2,3]=>[2,1,5,4,3]=>[1,2,1,1]=>[1,0,1,1,0,0,1,0,1,0]=>2 [4,5,1,3,2]=>[2,1,5,3,4]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [4,5,2,1,3]=>[2,1,4,5,3]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [4,5,2,3,1]=>[2,1,4,3,5]=>[1,2,2]=>[1,0,1,1,0,0,1,1,0,0]=>3 [4,5,3,1,2]=>[2,1,3,5,4]=>[1,3,1]=>[1,0,1,1,1,0,0,0,1,0]=>2 [4,5,3,2,1]=>[2,1,3,4,5]=>[1,4]=>[1,0,1,1,1,1,0,0,0,0]=>1 [5,1,2,3,4]=>[1,5,4,3,2]=>[2,1,1,1]=>[1,1,0,0,1,0,1,0,1,0]=>2 [5,1,2,4,3]=>[1,5,4,2,3]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [5,1,3,2,4]=>[1,5,3,4,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [5,1,3,4,2]=>[1,5,3,2,4]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [5,1,4,2,3]=>[1,5,2,4,3]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [5,1,4,3,2]=>[1,5,2,3,4]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [5,2,1,3,4]=>[1,4,5,3,2]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>2 [5,2,1,4,3]=>[1,4,5,2,3]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>3 [5,2,3,1,4]=>[1,4,3,5,2]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [5,2,3,4,1]=>[1,4,3,2,5]=>[2,1,2]=>[1,1,0,0,1,0,1,1,0,0]=>3 [5,2,4,1,3]=>[1,4,2,5,3]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [5,2,4,3,1]=>[1,4,2,3,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [5,3,1,2,4]=>[1,3,5,4,2]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>2 [5,3,1,4,2]=>[1,3,5,2,4]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>3 [5,3,2,1,4]=>[1,3,4,5,2]=>[4,1]=>[1,1,1,1,0,0,0,0,1,0]=>2 [5,3,2,4,1]=>[1,3,4,2,5]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>3 [5,3,4,1,2]=>[1,3,2,5,4]=>[2,2,1]=>[1,1,0,0,1,1,0,0,1,0]=>4 [5,3,4,2,1]=>[1,3,2,4,5]=>[2,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [5,4,1,2,3]=>[1,2,5,4,3]=>[3,1,1]=>[1,1,1,0,0,0,1,0,1,0]=>2 [5,4,1,3,2]=>[1,2,5,3,4]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>3 [5,4,2,1,3]=>[1,2,4,5,3]=>[4,1]=>[1,1,1,1,0,0,0,0,1,0]=>2 [5,4,2,3,1]=>[1,2,4,3,5]=>[3,2]=>[1,1,1,0,0,0,1,1,0,0]=>3 [5,4,3,1,2]=>[1,2,3,5,4]=>[4,1]=>[1,1,1,1,0,0,0,0,1,0]=>2 [5,4,3,2,1]=>[1,2,3,4,5]=>[5]=>[1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,3,5,6,4]=>[6,5,4,2,1,3]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,5,3,6]=>[6,5,3,2,4,1]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,4,5,6,3]=>[6,5,3,2,1,4]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,4,6,5,3]=>[6,5,3,1,2,4]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,5,4,6,3]=>[6,5,2,3,1,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,5,6,4,3]=>[6,5,2,1,3,4]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,2,5,6,4]=>[6,4,5,2,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,4,2,5,6]=>[6,4,3,5,2,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,3,4,2,6,5]=>[6,4,3,5,1,2]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,5,2,6]=>[6,4,3,2,5,1]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,3,4,5,6,2]=>[6,4,3,2,1,5]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,3,4,6,2,5]=>[6,4,3,1,5,2]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,3,4,6,5,2]=>[6,4,3,1,2,5]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,3,5,2,6,4]=>[6,4,2,5,1,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,5,4,2,6]=>[6,4,2,3,5,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,5,4,6,2]=>[6,4,2,3,1,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,5,6,2,4]=>[6,4,2,1,5,3]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,3,5,6,4,2]=>[6,4,2,1,3,5]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,6,4,2,5]=>[6,4,1,3,5,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,6,4,5,2]=>[6,4,1,3,2,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,6,5,4,2]=>[6,4,1,2,3,5]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,2,5,6,3]=>[6,3,5,2,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,2,6,5,3]=>[6,3,5,1,2,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,3,5,2,6]=>[6,3,4,2,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,3,5,6,2]=>[6,3,4,2,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,3,6,5,2]=>[6,3,4,1,2,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,4,5,2,6,3]=>[6,3,2,5,1,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,5,3,2,6]=>[6,3,2,4,5,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,5,3,6,2]=>[6,3,2,4,1,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,5,6,2,3]=>[6,3,2,1,5,4]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,4,5,6,3,2]=>[6,3,2,1,4,5]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,6,3,5,2]=>[6,3,1,4,2,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,6,5,2,3]=>[6,3,1,2,5,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,6,5,3,2]=>[6,3,1,2,4,5]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,2,4,6,3]=>[6,2,5,3,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,2,6,4,3]=>[6,2,5,1,3,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,3,2,6,4]=>[6,2,4,5,1,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,3,4,6,2]=>[6,2,4,3,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,3,6,4,2]=>[6,2,4,1,3,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,4,2,6,3]=>[6,2,3,5,1,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,5,4,3,6,2]=>[6,2,3,4,1,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,4,6,2,3]=>[6,2,3,1,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,4,6,3,2]=>[6,2,3,1,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,6,2,3,4]=>[6,2,1,5,4,3]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,5,6,2,4,3]=>[6,2,1,5,3,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,5,6,3,2,4]=>[6,2,1,4,5,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,5,6,3,4,2]=>[6,2,1,4,3,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,5,6,4,3,2]=>[6,2,1,3,4,5]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,2,4,5,3]=>[6,1,5,3,2,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,3,4,2,5]=>[6,1,4,3,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,6,4,2,5,3]=>[6,1,3,5,2,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,4,5,2,3]=>[6,1,3,2,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,4,5,3,2]=>[6,1,3,2,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,5,3,4,2]=>[6,1,2,4,3,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,5,6,4]=>[5,6,4,2,1,3]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,6,4,5]=>[5,6,4,1,3,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,5,3,6]=>[5,6,3,2,4,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,5,6,3]=>[5,6,3,2,1,4]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,6,5,3]=>[5,6,3,1,2,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,1,5,3,4,6]=>[5,6,2,4,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,5,3,6,4]=>[5,6,2,4,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,5,4,6,3]=>[5,6,2,3,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,5,6,4,3]=>[5,6,2,1,3,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,1,6,3,4,5]=>[5,6,1,4,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,5,3,4]=>[5,6,1,2,4,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,3,1,4,6,5]=>[5,4,6,3,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,1,5,4,6]=>[5,4,6,2,3,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,1,5,6,4]=>[5,4,6,2,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,1,6,5,4]=>[5,4,6,1,2,3]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,4,1,6,5]=>[5,4,3,6,1,2]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,3,4,6,1,5]=>[5,4,3,1,6,2]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,3,4,6,5,1]=>[5,4,3,1,2,6]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,3,5,1,4,6]=>[5,4,2,6,3,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,5,1,6,4]=>[5,4,2,6,1,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,5,4,1,6]=>[5,4,2,3,6,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,5,4,6,1]=>[5,4,2,3,1,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,5,6,1,4]=>[5,4,2,1,6,3]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,3,5,6,4,1]=>[5,4,2,1,3,6]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,6,1,5,4]=>[5,4,1,6,2,3]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,6,4,1,5]=>[5,4,1,3,6,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,6,4,5,1]=>[5,4,1,3,2,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,6,5,1,4]=>[5,4,1,2,6,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,6,5,4,1]=>[5,4,1,2,3,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,1,5,3,6]=>[5,3,6,2,4,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,1,5,6,3]=>[5,3,6,2,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,1,6,5,3]=>[5,3,6,1,2,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,3,1,5,6]=>[5,3,4,6,2,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,3,1,6,5]=>[5,3,4,6,1,2]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,3,5,1,6]=>[5,3,4,2,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,3,5,6,1]=>[5,3,4,2,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,3,6,1,5]=>[5,3,4,1,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,3,6,5,1]=>[5,3,4,1,2,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,5,1,3,6]=>[5,3,2,6,4,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,4,5,1,6,3]=>[5,3,2,6,1,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,5,3,1,6]=>[5,3,2,4,6,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,5,3,6,1]=>[5,3,2,4,1,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,5,6,1,3]=>[5,3,2,1,6,4]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,4,5,6,3,1]=>[5,3,2,1,4,6]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,4,6,1,5,3]=>[5,3,1,6,2,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,6,3,1,5]=>[5,3,1,4,6,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,6,3,5,1]=>[5,3,1,4,2,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,6,5,1,3]=>[5,3,1,2,6,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,6,5,3,1]=>[5,3,1,2,4,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,5,1,3,6,4]=>[5,2,6,4,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,1,4,6,3]=>[5,2,6,3,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,1,6,3,4]=>[5,2,6,1,4,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,1,6,4,3]=>[5,2,6,1,3,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,3,1,4,6]=>[5,2,4,6,3,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,3,1,6,4]=>[5,2,4,6,1,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,3,4,1,6]=>[5,2,4,3,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,3,4,6,1]=>[5,2,4,3,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,3,6,1,4]=>[5,2,4,1,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,3,6,4,1]=>[5,2,4,1,3,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,4,1,6,3]=>[5,2,3,6,1,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,4,3,1,6]=>[5,2,3,4,6,1]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,4,3,6,1]=>[5,2,3,4,1,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,4,6,1,3]=>[5,2,3,1,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,4,6,3,1]=>[5,2,3,1,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,6,1,3,4]=>[5,2,1,6,4,3]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,5,6,1,4,3]=>[5,2,1,6,3,4]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,5,6,3,1,4]=>[5,2,1,4,6,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,5,6,3,4,1]=>[5,2,1,4,3,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,5,6,4,1,3]=>[5,2,1,3,6,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,5,6,4,3,1]=>[5,2,1,3,4,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,1,4,5,3]=>[5,1,6,3,2,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,1,5,3,4]=>[5,1,6,2,4,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,3,1,4,5]=>[5,1,4,6,3,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,6,3,1,5,4]=>[5,1,4,6,2,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,3,4,5,1]=>[5,1,4,3,2,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,3,5,1,4]=>[5,1,4,2,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,3,5,4,1]=>[5,1,4,2,3,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,4,1,3,5]=>[5,1,3,6,4,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,6,4,1,5,3]=>[5,1,3,6,2,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,6,4,3,5,1]=>[5,1,3,4,2,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,4,5,1,3]=>[5,1,3,2,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,4,5,3,1]=>[5,1,3,2,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,5,1,3,4]=>[5,1,2,6,4,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,5,3,1,4]=>[5,1,2,4,6,3]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,6,5,3,4,1]=>[5,1,2,4,3,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,6,5,4,3,1]=>[5,1,2,3,4,6]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,6,4,5]=>[4,6,5,1,3,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,4,2,6,5]=>[4,6,3,5,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,5,2,6]=>[4,6,3,2,5,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,5,6,2]=>[4,6,3,2,1,5]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,4,6,2,5]=>[4,6,3,1,5,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,6,5,2]=>[4,6,3,1,2,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,4,2,6]=>[4,6,2,3,5,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,4,6,2]=>[4,6,2,3,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,6,2,4]=>[4,6,2,1,5,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,6,4,2]=>[4,6,2,1,3,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,6,2,4,5]=>[4,6,1,5,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,6,4,2,5]=>[4,6,1,3,5,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,6,4,5,2]=>[4,6,1,3,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,6,5,4,2]=>[4,6,1,2,3,5]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,1,5,6,4]=>[4,5,6,2,1,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,1,6,4,5]=>[4,5,6,1,3,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,2,4,1,5,6]=>[4,5,3,6,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,1,6,5]=>[4,5,3,6,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,5,1,6]=>[4,5,3,2,6,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,5,6,1]=>[4,5,3,2,1,6]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,4,6,1,5]=>[4,5,3,1,6,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,6,5,1]=>[4,5,3,1,2,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,1,6,4]=>[4,5,2,6,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,4,1,6]=>[4,5,2,3,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,4,6,1]=>[4,5,2,3,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,6,1,4]=>[4,5,2,1,6,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,5,6,4,1]=>[4,5,2,1,3,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,4,1,5]=>[4,5,1,3,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,6,4,5,1]=>[4,5,1,3,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,6,5,4,1]=>[4,5,1,2,3,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,1,5,2,6]=>[4,3,6,2,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,1,5,6,2]=>[4,3,6,2,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,1,6,2,5]=>[4,3,6,1,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,1,6,5,2]=>[4,3,6,1,2,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,2,1,5,6]=>[4,3,5,6,2,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,2,1,6,5]=>[4,3,5,6,1,2]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,2,5,1,6]=>[4,3,5,2,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,2,5,6,1]=>[4,3,5,2,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,2,6,1,5]=>[4,3,5,1,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,2,6,5,1]=>[4,3,5,1,2,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,5,1,2,6]=>[4,3,2,6,5,1]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,4,5,1,6,2]=>[4,3,2,6,1,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,5,2,1,6]=>[4,3,2,5,6,1]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,5,2,6,1]=>[4,3,2,5,1,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,5,6,1,2]=>[4,3,2,1,6,5]=>[1,1,1,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>2 [3,4,5,6,2,1]=>[4,3,2,1,5,6]=>[1,1,1,3]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [3,4,6,1,2,5]=>[4,3,1,6,5,2]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,4,6,1,5,2]=>[4,3,1,6,2,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,6,2,1,5]=>[4,3,1,5,6,2]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,6,2,5,1]=>[4,3,1,5,2,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,6,5,1,2]=>[4,3,1,2,6,5]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,6,5,2,1]=>[4,3,1,2,5,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,5,1,2,6,4]=>[4,2,6,5,1,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,1,4,6,2]=>[4,2,6,3,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,1,6,4,2]=>[4,2,6,1,3,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,2,1,6,4]=>[4,2,5,6,1,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,2,4,1,6]=>[4,2,5,3,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,2,4,6,1]=>[4,2,5,3,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,2,6,1,4]=>[4,2,5,1,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,2,6,4,1]=>[4,2,5,1,3,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,4,1,2,6]=>[4,2,3,6,5,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,4,1,6,2]=>[4,2,3,6,1,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,4,2,1,6]=>[4,2,3,5,6,1]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,5,4,2,6,1]=>[4,2,3,5,1,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,4,6,1,2]=>[4,2,3,1,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,4,6,2,1]=>[4,2,3,1,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,5,6,1,4,2]=>[4,2,1,6,3,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,5,6,2,1,4]=>[4,2,1,5,6,3]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,5,6,2,4,1]=>[4,2,1,5,3,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,5,6,4,1,2]=>[4,2,1,3,6,5]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,5,6,4,2,1]=>[4,2,1,3,5,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,1,4,2,5]=>[4,1,6,3,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,2,1,4,5]=>[4,1,5,6,3,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,2,4,1,5]=>[4,1,5,3,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,2,4,5,1]=>[4,1,5,3,2,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,2,5,4,1]=>[4,1,5,2,3,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,4,1,2,5]=>[4,1,3,6,5,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,4,1,5,2]=>[4,1,3,6,2,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,4,2,1,5]=>[4,1,3,5,6,2]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,6,4,2,5,1]=>[4,1,3,5,2,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,4,5,1,2]=>[4,1,3,2,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,4,5,2,1]=>[4,1,3,2,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,5,1,4,2]=>[4,1,2,6,3,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,6,5,2,4,1]=>[4,1,2,5,3,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,5,4,1,2]=>[4,1,2,3,6,5]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,6,5,3]=>[3,6,5,1,2,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,5,2,6]=>[3,6,4,2,5,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,5,6,2]=>[3,6,4,2,1,5]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,6,5,2]=>[3,6,4,1,2,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,3,2,6]=>[3,6,2,4,5,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,5,3,6,2]=>[3,6,2,4,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,6,2,3]=>[3,6,2,1,5,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,6,3,2]=>[3,6,2,1,4,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,6,2,5,3]=>[3,6,1,5,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,3,5,2]=>[3,6,1,4,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,5,2,3]=>[3,6,1,2,5,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,5,3,2]=>[3,6,1,2,4,5]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,2,1,5,3,6]=>[3,5,6,2,4,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,1,5,6,3]=>[3,5,6,2,1,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,2,1,6,3,5]=>[3,5,6,1,4,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,5,1,6]=>[3,5,4,2,6,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,3,6,1,5]=>[3,5,4,1,6,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,3,6,5,1]=>[3,5,4,1,2,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,5,1,6,3]=>[3,5,2,6,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,3,1,6]=>[3,5,2,4,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,3,6,1]=>[3,5,2,4,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,6,1,3]=>[3,5,2,1,6,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,5,6,3,1]=>[3,5,2,1,4,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,3,1,5]=>[3,5,1,4,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,3,5,1]=>[3,5,1,4,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,5,1,3]=>[3,5,1,2,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,5,3,1]=>[3,5,1,2,4,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,3,1,5,2,6]=>[3,4,6,2,5,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,3,1,5,6,2]=>[3,4,6,2,1,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,3,1,6,5,2]=>[3,4,6,1,2,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,3,2,5,1,6]=>[3,4,5,2,6,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,3,2,5,6,1]=>[3,4,5,2,1,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,3,2,6,5,1]=>[3,4,5,1,2,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,5,1,2,6]=>[3,4,2,6,5,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,5,1,6,2]=>[3,4,2,6,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,2,1,6]=>[3,4,2,5,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,2,6,1]=>[3,4,2,5,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,6,1,2]=>[3,4,2,1,6,5]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,6,2,1]=>[3,4,2,1,5,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,6,1,5,2]=>[3,4,1,6,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,6,2,5,1]=>[3,4,1,5,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,5,1,2]=>[3,4,1,2,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,6,5,2,1]=>[3,4,1,2,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,5,1,2,6,3]=>[3,2,6,5,1,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,1,3,2,6]=>[3,2,6,4,5,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,1,3,6,2]=>[3,2,6,4,1,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,1,6,3,2]=>[3,2,6,1,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,2,1,3,6]=>[3,2,5,6,4,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,2,1,6,3]=>[3,2,5,6,1,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,2,3,1,6]=>[3,2,5,4,6,1]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,2,3,6,1]=>[3,2,5,4,1,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,2,6,1,3]=>[3,2,5,1,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,2,6,3,1]=>[3,2,5,1,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,3,1,6,2]=>[3,2,4,6,1,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,3,2,1,6]=>[3,2,4,5,6,1]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,5,3,2,6,1]=>[3,2,4,5,1,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,3,6,1,2]=>[3,2,4,1,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,3,6,2,1]=>[3,2,4,1,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[1,1,2,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,5,6,1,3,2]=>[3,2,1,6,4,5]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,5,6,2,1,3]=>[3,2,1,5,6,4]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [4,5,6,2,3,1]=>[3,2,1,5,4,6]=>[1,1,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,5,6,3,1,2]=>[3,2,1,4,6,5]=>[1,1,3,1]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>2 [4,5,6,3,2,1]=>[3,2,1,4,5,6]=>[1,1,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,6,1,2,5,3]=>[3,1,6,5,2,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,1,3,5,2]=>[3,1,6,4,2,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,6,1,5,2,3]=>[3,1,6,2,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,1,5,3,2]=>[3,1,6,2,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,6,2,1,3,5]=>[3,1,5,6,4,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,6,2,1,5,3]=>[3,1,5,6,2,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,2,3,1,5]=>[3,1,5,4,6,2]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,2,3,5,1]=>[3,1,5,4,2,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,2,5,3,1]=>[3,1,5,2,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,6,3,1,2,5]=>[3,1,4,6,5,2]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,6,3,2,5,1]=>[3,1,4,5,2,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,3,5,1,2]=>[3,1,4,2,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,3,5,2,1]=>[3,1,4,2,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,6,5,1,2,3]=>[3,1,2,6,5,4]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,6,5,2,3,1]=>[3,1,2,5,4,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,5,3,1,2]=>[3,1,2,4,6,5]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,6,5,3,2,1]=>[3,1,2,4,5,6]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>2 [5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,4,6,3]=>[2,6,5,3,1,4]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,6,4,3]=>[2,6,5,1,3,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,2,6,4]=>[2,6,4,5,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,4,2,6]=>[2,6,4,3,5,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,1,3,6,2,4]=>[2,6,4,1,5,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,3,6,4,2]=>[2,6,4,1,3,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,4,2,6,3]=>[2,6,3,5,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,6,2,3]=>[2,6,3,1,5,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,4,6,3,2]=>[2,6,3,1,4,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,6,2,4,3]=>[2,6,1,5,3,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,3,2,4]=>[2,6,1,4,5,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,3,4,2]=>[2,6,1,4,3,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,4,2,3]=>[2,6,1,3,5,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,4,3,2]=>[2,6,1,3,4,5]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,2,1,3,6,4]=>[2,5,6,4,1,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,2,1,4,6,3]=>[2,5,6,3,1,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,2,1,6,3,4]=>[2,5,6,1,4,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,2,1,6,4,3]=>[2,5,6,1,3,4]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,2,3,1,4,6]=>[2,5,4,6,3,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,1,6,4]=>[2,5,4,6,1,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,4,6,1]=>[2,5,4,3,1,6]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,6,4,1]=>[2,5,4,1,3,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,4,1,6,3]=>[2,5,3,6,1,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,4,3,6,1]=>[2,5,3,4,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,6,1,3]=>[2,5,3,1,6,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,4,6,3,1]=>[2,5,3,1,4,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,6,1,3,4]=>[2,5,1,6,4,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,6,1,4,3]=>[2,5,1,6,3,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,3,1,4]=>[2,5,1,4,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,6,3,4,1]=>[2,5,1,4,3,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,6,4,3,1]=>[2,5,1,3,4,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,3,1,2,6,4]=>[2,4,6,5,1,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,3,1,4,2,6]=>[2,4,6,3,5,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,1,4,6,2]=>[2,4,6,3,1,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,3,1,6,2,4]=>[2,4,6,1,5,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,3,2,1,6,4]=>[2,4,5,6,1,3]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,2,4,6,1]=>[2,4,5,3,1,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,2,6,4,1]=>[2,4,5,1,3,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,3,4,1,2,6]=>[2,4,3,6,5,1]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,1,6,2]=>[2,4,3,6,1,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,2,1,6]=>[2,4,3,5,6,1]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,4,2,6,1]=>[2,4,3,5,1,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,6,1,2]=>[2,4,3,1,6,5]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,6,2,1]=>[2,4,3,1,5,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,3,6,1,2,4]=>[2,4,1,6,5,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,2,1,4]=>[2,4,1,5,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,6,2,4,1]=>[2,4,1,5,3,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,4,1,2]=>[2,4,1,3,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,6,4,2,1]=>[2,4,1,3,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,4,1,2,6,3]=>[2,3,6,5,1,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,1,3,6,2]=>[2,3,6,4,1,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,4,1,6,2,3]=>[2,3,6,1,5,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,4,2,1,6,3]=>[2,3,5,6,1,4]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,4,2,3,1,6]=>[2,3,5,4,6,1]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,2,3,6,1]=>[2,3,5,4,1,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,4,2,6,1,3]=>[2,3,5,1,6,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,2,6,3,1]=>[2,3,5,1,4,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,4,3,1,6,2]=>[2,3,4,6,1,5]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,4,3,2,6,1]=>[2,3,4,5,1,6]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,4,3,6,1,2]=>[2,3,4,1,6,5]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,3,6,2,1]=>[2,3,4,1,5,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,4,6,1,2,3]=>[2,3,1,6,5,4]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,6,2,3,1]=>[2,3,1,5,4,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,6,3,1,2]=>[2,3,1,4,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,6,3,2,1]=>[2,3,1,4,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[1,2,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>2 [5,6,1,2,4,3]=>[2,1,6,5,3,4]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,6,1,3,2,4]=>[2,1,6,4,5,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,1,3,4,2]=>[2,1,6,4,3,5]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,6,1,4,2,3]=>[2,1,6,3,5,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,1,4,3,2]=>[2,1,6,3,4,5]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,6,2,1,3,4]=>[2,1,5,6,4,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,2,1,4,3]=>[2,1,5,6,3,4]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,2,3,1,4]=>[2,1,5,4,6,3]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,2,3,4,1]=>[2,1,5,4,3,6]=>[1,2,1,2]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,6,2,4,1,3]=>[2,1,5,3,6,4]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,2,4,3,1]=>[2,1,5,3,4,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,6,3,1,2,4]=>[2,1,4,6,5,3]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,3,1,4,2]=>[2,1,4,6,3,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,3,2,1,4]=>[2,1,4,5,6,3]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,6,3,2,4,1]=>[2,1,4,5,3,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[1,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,3,4,2,1]=>[2,1,4,3,5,6]=>[1,2,3]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,6,4,1,2,3]=>[2,1,3,6,5,4]=>[1,3,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,4,1,3,2]=>[2,1,3,6,4,5]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,4,2,1,3]=>[2,1,3,5,6,4]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,6,4,2,3,1]=>[2,1,3,5,4,6]=>[1,3,2]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[1,4,1]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,6,4,3,2,1]=>[2,1,3,4,5,6]=>[1,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[2,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>2 [6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,4,5,3]=>[1,6,5,3,2,4]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,4,2,5]=>[1,6,4,3,5,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,3,4,5,2]=>[1,6,4,3,2,5]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,3,5,4,2]=>[1,6,4,2,3,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,4,2,5,3]=>[1,6,3,5,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,3,5,2]=>[1,6,3,4,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,5,2,3]=>[1,6,3,2,5,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,4,5,3,2]=>[1,6,3,2,4,5]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,5,3,4,2]=>[1,6,2,4,3,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,2,1,4,5,3]=>[1,5,6,3,2,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,2,1,5,3,4]=>[1,5,6,2,4,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,3,1,4,5]=>[1,5,4,6,3,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,1,5,4]=>[1,5,4,6,2,3]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,4,1,5]=>[1,5,4,3,6,2]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[2,1,1,2]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,2,3,5,1,4]=>[1,5,4,2,6,3]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,4,1,5,3]=>[1,5,3,6,2,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,3,1,5]=>[1,5,3,4,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,5,1,3]=>[1,5,3,2,6,4]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,4,5,3,1]=>[1,5,3,2,4,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,5,3,1,4]=>[1,5,2,4,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,5,3,4,1]=>[1,5,2,4,3,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,3,1,4,2,5]=>[1,4,6,3,5,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,3,1,4,5,2]=>[1,4,6,3,2,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,3,1,5,2,4]=>[1,4,6,2,5,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,3,1,5,4,2]=>[1,4,6,2,3,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,3,2,4,1,5]=>[1,4,5,3,6,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,3,4,1,2,5]=>[1,4,3,6,5,2]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,4,1,5,2]=>[1,4,3,6,2,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,2,1,5]=>[1,4,3,5,6,2]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,2,5,1]=>[1,4,3,5,2,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,5,1,2]=>[1,4,3,2,6,5]=>[2,1,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,4,5,2,1]=>[1,4,3,2,5,6]=>[2,1,3]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,5,1,4,2]=>[1,4,2,6,3,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,4,1,2]=>[1,4,2,3,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,4,2,1]=>[1,4,2,3,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,4,1,2,5,3]=>[1,3,6,5,2,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,4,1,3,5,2]=>[1,3,6,4,2,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,4,1,5,2,3]=>[1,3,6,2,5,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,4,1,5,3,2]=>[1,3,6,2,4,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,4,2,1,5,3]=>[1,3,5,6,2,4]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,4,2,3,1,5]=>[1,3,5,4,6,2]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,4,2,3,5,1]=>[1,3,5,4,2,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,4,2,5,1,3]=>[1,3,5,2,6,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,4,3,1,5,2]=>[1,3,4,6,2,5]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,4,3,5,1,2]=>[1,3,4,2,6,5]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,4,3,5,2,1]=>[1,3,4,2,5,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,4,5,1,2,3]=>[1,3,2,6,5,4]=>[2,2,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,5,1,3,2]=>[1,3,2,6,4,5]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,2,1,3]=>[1,3,2,5,6,4]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,3,1,2]=>[1,3,2,4,6,5]=>[2,3,1]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,3,2,1]=>[1,3,2,4,5,6]=>[2,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[3,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,1,3,4,2]=>[1,2,6,4,3,5]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,5,2,3,1,4]=>[1,2,5,4,6,3]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,2,3,4,1]=>[1,2,5,4,3,6]=>[3,1,2]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,2,4,3,1]=>[1,2,5,3,4,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,5,3,1,4,2]=>[1,2,4,6,3,5]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,5,3,2,4,1]=>[1,2,4,5,3,6]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,5,3,4,1,2]=>[1,2,4,3,6,5]=>[3,2,1]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[3,3]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,5,4,2,3,1]=>[1,2,3,5,4,6]=>[4,2]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[5,1]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[6]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>[1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[1,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[2,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,4,6,7,5]=>[6,7,5,4,2,1,3]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,5,7,6,4]=>[6,7,5,3,1,2,4]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,3,6,5,7,4]=>[6,7,5,2,3,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,6,7,5,4]=>[6,7,5,2,1,3,4]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,5,7,6,3]=>[6,7,4,3,1,2,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,6,5,3,7]=>[6,7,4,2,3,5,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,4,6,5,7,3]=>[6,7,4,2,3,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,6,7,5,3]=>[6,7,4,2,1,3,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,7,5,3,6]=>[6,7,4,1,3,5,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,4,7,5,6,3]=>[6,7,4,1,3,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,4,7,6,5,3]=>[6,7,4,1,2,3,5]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,3,7,6,4]=>[6,7,3,5,1,2,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,5,4,6,3,7]=>[6,7,3,4,2,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,4,6,7,3]=>[6,7,3,4,2,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,4,7,6,3]=>[6,7,3,4,1,2,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,6,4,3,7]=>[6,7,3,2,4,5,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,5,6,4,7,3]=>[6,7,3,2,4,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,5,6,7,4,3]=>[6,7,3,2,1,4,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,5,7,4,6,3]=>[6,7,3,1,4,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,7,6,3,4]=>[6,7,3,1,2,5,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,5,7,6,4,3]=>[6,7,3,1,2,4,5]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,3,5,7,4]=>[6,7,2,5,3,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,3,7,5,4]=>[6,7,2,5,1,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,6,4,3,7,5]=>[6,7,2,4,5,1,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,4,5,7,3]=>[6,7,2,4,3,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,4,7,5,3]=>[6,7,2,4,1,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,5,3,4,7]=>[6,7,2,3,5,4,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,6,5,3,7,4]=>[6,7,2,3,5,1,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,6,5,4,7,3]=>[6,7,2,3,4,1,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,5,7,3,4]=>[6,7,2,3,1,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,5,7,4,3]=>[6,7,2,3,1,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,7,3,4,5]=>[6,7,2,1,5,4,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,6,7,3,5,4]=>[6,7,2,1,5,3,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,7,4,3,5]=>[6,7,2,1,4,5,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,7,4,5,3]=>[6,7,2,1,4,3,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,7,5,4,3]=>[6,7,2,1,3,4,5]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,3,5,6,4]=>[6,7,1,5,3,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,7,3,6,4,5]=>[6,7,1,5,2,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,7,4,5,3,6]=>[6,7,1,4,3,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,7,5,3,4,6]=>[6,7,1,3,5,4,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,7,5,3,6,4]=>[6,7,1,3,5,2,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,7,5,6,3,4]=>[6,7,1,3,2,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,5,6,4,3]=>[6,7,1,3,2,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,7,6,3,4,5]=>[6,7,1,2,5,4,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,7,6,4,5,3]=>[6,7,1,2,4,3,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,7,6,5,3,4]=>[6,7,1,2,3,5,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,3,1,4,5,7,6]=>[6,5,7,4,3,1,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,4,6,5,7]=>[6,5,7,4,2,3,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,4,7,6,5]=>[6,5,7,4,1,2,3]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,5,4,6,7]=>[6,5,7,3,4,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,5,4,7,6]=>[6,5,7,3,4,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,5,6,4,7]=>[6,5,7,3,2,4,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,5,6,7,4]=>[6,5,7,3,2,1,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,5,7,4,6]=>[6,5,7,3,1,4,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,5,7,6,4]=>[6,5,7,3,1,2,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,6,4,5,7]=>[6,5,7,2,4,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,6,4,7,5]=>[6,5,7,2,4,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,6,5,4,7]=>[6,5,7,2,3,4,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,6,5,7,4]=>[6,5,7,2,3,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,6,7,4,5]=>[6,5,7,2,1,4,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,6,7,5,4]=>[6,5,7,2,1,3,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,7,4,5,6]=>[6,5,7,1,4,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,7,4,6,5]=>[6,5,7,1,4,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,7,5,4,6]=>[6,5,7,1,3,4,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,7,5,6,4]=>[6,5,7,1,3,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,7,6,4,5]=>[6,5,7,1,2,4,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,7,6,5,4]=>[6,5,7,1,2,3,4]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,3,4,1,5,7,6]=>[6,5,4,7,3,1,2]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,4,1,6,5,7]=>[6,5,4,7,2,3,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,1,6,7,5]=>[6,5,4,7,2,1,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,4,1,7,5,6]=>[6,5,4,7,1,3,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,1,7,6,5]=>[6,5,4,7,1,2,3]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,4,5,1,7,6]=>[6,5,4,3,7,1,2]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,3,4,5,7,6,1]=>[6,5,4,3,1,2,7]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,4,6,1,7,5]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,6,5,1,7]=>[6,5,4,2,3,7,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,4,6,5,7,1]=>[6,5,4,2,3,1,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,6,7,1,5]=>[6,5,4,2,1,7,3]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,3,4,6,7,5,1]=>[6,5,4,2,1,3,7]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,4,7,1,6,5]=>[6,5,4,1,7,2,3]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,7,5,1,6]=>[6,5,4,1,3,7,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,4,7,5,6,1]=>[6,5,4,1,3,2,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,7,6,1,5]=>[6,5,4,1,2,7,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,4,7,6,5,1]=>[6,5,4,1,2,3,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,3,5,1,4,7,6]=>[6,5,3,7,4,1,2]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,5,1,6,4,7]=>[6,5,3,7,2,4,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,5,1,6,7,4]=>[6,5,3,7,2,1,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,5,1,7,4,6]=>[6,5,3,7,1,4,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,5,1,7,6,4]=>[6,5,3,7,1,2,4]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,5,4,1,6,7]=>[6,5,3,4,7,2,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,5,4,1,7,6]=>[6,5,3,4,7,1,2]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,5,4,6,1,7]=>[6,5,3,4,2,7,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,5,4,6,7,1]=>[6,5,3,4,2,1,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,5,4,7,1,6]=>[6,5,3,4,1,7,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,5,4,7,6,1]=>[6,5,3,4,1,2,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,5,6,1,7,4]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,5,6,4,1,7]=>[6,5,3,2,4,7,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,5,6,4,7,1]=>[6,5,3,2,4,1,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,3,5,7,1,4,6]=>[6,5,3,1,7,4,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,5,7,1,6,4]=>[6,5,3,1,7,2,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,5,7,4,1,6]=>[6,5,3,1,4,7,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,5,7,4,6,1]=>[6,5,3,1,4,2,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,5,7,6,1,4]=>[6,5,3,1,2,7,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,5,7,6,4,1]=>[6,5,3,1,2,4,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,3,6,1,4,7,5]=>[6,5,2,7,4,1,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,6,1,5,4,7]=>[6,5,2,7,3,4,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,6,1,5,7,4]=>[6,5,2,7,3,1,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,6,1,7,4,5]=>[6,5,2,7,1,4,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,6,1,7,5,4]=>[6,5,2,7,1,3,4]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,6,4,1,5,7]=>[6,5,2,4,7,3,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,6,4,1,7,5]=>[6,5,2,4,7,1,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,6,4,5,1,7]=>[6,5,2,4,3,7,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,6,4,5,7,1]=>[6,5,2,4,3,1,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,6,4,7,1,5]=>[6,5,2,4,1,7,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,6,4,7,5,1]=>[6,5,2,4,1,3,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,6,5,1,4,7]=>[6,5,2,3,7,4,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,6,5,4,1,7]=>[6,5,2,3,4,7,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,3,6,5,4,7,1]=>[6,5,2,3,4,1,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,6,5,7,1,4]=>[6,5,2,3,1,7,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,6,7,1,4,5]=>[6,5,2,1,7,4,3]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,6,7,1,5,4]=>[6,5,2,1,7,3,4]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,6,7,4,1,5]=>[6,5,2,1,4,7,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,6,7,4,5,1]=>[6,5,2,1,4,3,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,6,7,5,1,4]=>[6,5,2,1,3,7,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,3,7,1,4,6,5]=>[6,5,1,7,4,2,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,7,1,5,4,6]=>[6,5,1,7,3,4,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,1,5,6,4]=>[6,5,1,7,3,2,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,7,1,6,4,5]=>[6,5,1,7,2,4,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,1,6,5,4]=>[6,5,1,7,2,3,4]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,7,4,1,6,5]=>[6,5,1,4,7,2,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,7,4,5,1,6]=>[6,5,1,4,3,7,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,4,5,6,1]=>[6,5,1,4,3,2,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,7,4,6,1,5]=>[6,5,1,4,2,7,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,4,6,5,1]=>[6,5,1,4,2,3,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,7,5,1,4,6]=>[6,5,1,3,7,4,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,7,5,1,6,4]=>[6,5,1,3,7,2,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,7,5,4,1,6]=>[6,5,1,3,4,7,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,3,7,5,4,6,1]=>[6,5,1,3,4,2,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,7,5,6,1,4]=>[6,5,1,3,2,7,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,5,6,4,1]=>[6,5,1,3,2,4,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,7,6,1,4,5]=>[6,5,1,2,7,4,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,7,6,1,5,4]=>[6,5,1,2,7,3,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,7,6,4,1,5]=>[6,5,1,2,4,7,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,3,7,6,4,5,1]=>[6,5,1,2,4,3,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,7,6,5,1,4]=>[6,5,1,2,3,7,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,3,7,6,5,4,1]=>[6,5,1,2,3,4,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,3,6,7,5]=>[6,4,7,5,2,1,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,1,5,3,6,7]=>[6,4,7,3,5,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,1,5,3,7,6]=>[6,4,7,3,5,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,5,6,3,7]=>[6,4,7,3,2,5,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,5,6,7,3]=>[6,4,7,3,2,1,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,1,5,7,3,6]=>[6,4,7,3,1,5,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,5,7,6,3]=>[6,4,7,3,1,2,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,6,5,3,7]=>[6,4,7,2,3,5,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,6,5,7,3]=>[6,4,7,2,3,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,6,7,5,3]=>[6,4,7,2,1,3,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,7,5,3,6]=>[6,4,7,1,3,5,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,7,5,6,3]=>[6,4,7,1,3,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,7,6,5,3]=>[6,4,7,1,2,3,5]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,3,1,5,6,7]=>[6,4,5,7,3,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,4,3,1,5,7,6]=>[6,4,5,7,3,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,3,1,6,5,7]=>[6,4,5,7,2,3,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,3,1,6,7,5]=>[6,4,5,7,2,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,3,1,7,5,6]=>[6,4,5,7,1,3,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,3,1,7,6,5]=>[6,4,5,7,1,2,3]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,3,5,1,6,7]=>[6,4,5,3,7,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,3,5,1,7,6]=>[6,4,5,3,7,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,5,6,1,7]=>[6,4,5,3,2,7,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,3,5,6,7,1]=>[6,4,5,3,2,1,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,3,5,7,1,6]=>[6,4,5,3,1,7,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,3,5,7,6,1]=>[6,4,5,3,1,2,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,6,1,5,7]=>[6,4,5,2,7,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,3,6,1,7,5]=>[6,4,5,2,7,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,6,5,1,7]=>[6,4,5,2,3,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,6,5,7,1]=>[6,4,5,2,3,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,6,7,1,5]=>[6,4,5,2,1,7,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,3,6,7,5,1]=>[6,4,5,2,1,3,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,7,1,5,6]=>[6,4,5,1,7,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,3,7,1,6,5]=>[6,4,5,1,7,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,7,5,1,6]=>[6,4,5,1,3,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,7,5,6,1]=>[6,4,5,1,3,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,7,6,1,5]=>[6,4,5,1,2,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,7,6,5,1]=>[6,4,5,1,2,3,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,5,1,7,6,3]=>[6,4,3,7,1,2,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,5,3,1,6,7]=>[6,4,3,5,7,2,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,5,3,1,7,6]=>[6,4,3,5,7,1,2]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,5,3,6,1,7]=>[6,4,3,5,2,7,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,5,3,7,1,6]=>[6,4,3,5,1,7,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,5,3,7,6,1]=>[6,4,3,5,1,2,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,5,6,3,1,7]=>[6,4,3,2,5,7,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,5,6,3,7,1]=>[6,4,3,2,5,1,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,4,5,6,7,3,1]=>[6,4,3,2,1,5,7]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,4,5,7,1,6,3]=>[6,4,3,1,7,2,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,5,7,3,1,6]=>[6,4,3,1,5,7,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,5,7,3,6,1]=>[6,4,3,1,5,2,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,5,7,6,1,3]=>[6,4,3,1,2,7,5]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,5,7,6,3,1]=>[6,4,3,1,2,5,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,6,1,5,3,7]=>[6,4,2,7,3,5,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,1,5,7,3]=>[6,4,2,7,3,1,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,1,7,5,3]=>[6,4,2,7,1,3,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,6,3,1,5,7]=>[6,4,2,5,7,3,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,6,3,1,7,5]=>[6,4,2,5,7,1,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,6,3,5,1,7]=>[6,4,2,5,3,7,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,3,5,7,1]=>[6,4,2,5,3,1,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,6,3,7,1,5]=>[6,4,2,5,1,7,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,3,7,5,1]=>[6,4,2,5,1,3,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,6,5,1,3,7]=>[6,4,2,3,7,5,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,6,5,1,7,3]=>[6,4,2,3,7,1,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,6,5,3,1,7]=>[6,4,2,3,5,7,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,6,5,3,7,1]=>[6,4,2,3,5,1,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,6,5,7,1,3]=>[6,4,2,3,1,7,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,6,7,3,1,5]=>[6,4,2,1,5,7,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,6,7,3,5,1]=>[6,4,2,1,5,3,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,6,7,5,1,3]=>[6,4,2,1,3,7,5]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,7,1,5,3,6]=>[6,4,1,7,3,5,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,7,1,5,6,3]=>[6,4,1,7,3,2,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,7,1,6,5,3]=>[6,4,1,7,2,3,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,7,3,1,5,6]=>[6,4,1,5,7,3,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,7,3,1,6,5]=>[6,4,1,5,7,2,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,7,3,5,1,6]=>[6,4,1,5,3,7,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,7,3,5,6,1]=>[6,4,1,5,3,2,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,7,3,6,1,5]=>[6,4,1,5,2,7,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,7,3,6,5,1]=>[6,4,1,5,2,3,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,7,5,1,3,6]=>[6,4,1,3,7,5,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,7,5,1,6,3]=>[6,4,1,3,7,2,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,7,5,3,1,6]=>[6,4,1,3,5,7,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,7,5,3,6,1]=>[6,4,1,3,5,2,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,7,5,6,1,3]=>[6,4,1,3,2,7,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,7,5,6,3,1]=>[6,4,1,3,2,5,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,7,6,1,5,3]=>[6,4,1,2,7,3,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,7,6,3,1,5]=>[6,4,1,2,5,7,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,7,6,3,5,1]=>[6,4,1,2,5,3,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,7,6,5,1,3]=>[6,4,1,2,3,7,5]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,7,6,5,3,1]=>[6,4,1,2,3,5,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,3,7,6,4]=>[6,3,7,5,1,2,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,4,6,3,7]=>[6,3,7,4,2,5,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,4,6,7,3]=>[6,3,7,4,2,1,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,4,7,6,3]=>[6,3,7,4,1,2,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,6,4,3,7]=>[6,3,7,2,4,5,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,1,6,4,7,3]=>[6,3,7,2,4,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,6,7,4,3]=>[6,3,7,2,1,4,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,7,3,6,4]=>[6,3,7,1,5,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,1,7,4,6,3]=>[6,3,7,1,4,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,7,6,3,4]=>[6,3,7,1,2,5,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,1,7,6,4,3]=>[6,3,7,1,2,4,5]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,3,1,4,6,7]=>[6,3,5,7,4,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,5,3,1,4,7,6]=>[6,3,5,7,4,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,3,1,6,4,7]=>[6,3,5,7,2,4,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,3,1,6,7,4]=>[6,3,5,7,2,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,3,1,7,4,6]=>[6,3,5,7,1,4,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,3,1,7,6,4]=>[6,3,5,7,1,2,4]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,3,4,1,6,7]=>[6,3,5,4,7,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,3,4,1,7,6]=>[6,3,5,4,7,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,4,6,1,7]=>[6,3,5,4,2,7,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,3,4,7,1,6]=>[6,3,5,4,1,7,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,4,7,6,1]=>[6,3,5,4,1,2,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,3,6,1,4,7]=>[6,3,5,2,7,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,3,6,1,7,4]=>[6,3,5,2,7,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,6,4,1,7]=>[6,3,5,2,4,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,6,4,7,1]=>[6,3,5,2,4,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,3,7,1,4,6]=>[6,3,5,1,7,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,3,7,1,6,4]=>[6,3,5,1,7,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,7,4,1,6]=>[6,3,5,1,4,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,7,4,6,1]=>[6,3,5,1,4,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,7,6,1,4]=>[6,3,5,1,2,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,7,6,4,1]=>[6,3,5,1,2,4,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,4,1,6,3,7]=>[6,3,4,7,2,5,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,1,6,7,3]=>[6,3,4,7,2,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,1,7,6,3]=>[6,3,4,7,1,2,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,4,3,1,6,7]=>[6,3,4,5,7,2,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,5,4,3,1,7,6]=>[6,3,4,5,7,1,2]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,5,4,3,6,1,7]=>[6,3,4,5,2,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,4,3,7,1,6]=>[6,3,4,5,1,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,3,7,6,1]=>[6,3,4,5,1,2,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,4,6,1,3,7]=>[6,3,4,2,7,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,6,1,7,3]=>[6,3,4,2,7,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,6,3,1,7]=>[6,3,4,2,5,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,4,6,3,7,1]=>[6,3,4,2,5,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,6,7,1,3]=>[6,3,4,2,1,7,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,4,6,7,3,1]=>[6,3,4,2,1,5,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,7,1,6,3]=>[6,3,4,1,7,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,7,3,1,6]=>[6,3,4,1,5,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,4,7,3,6,1]=>[6,3,4,1,5,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,7,6,1,3]=>[6,3,4,1,2,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,4,7,6,3,1]=>[6,3,4,1,2,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,6,1,4,3,7]=>[6,3,2,7,4,5,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,6,1,4,7,3]=>[6,3,2,7,4,1,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,6,1,7,4,3]=>[6,3,2,7,1,4,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,6,3,1,4,7]=>[6,3,2,5,7,4,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,6,3,1,7,4]=>[6,3,2,5,7,1,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,6,3,4,1,7]=>[6,3,2,5,4,7,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,6,3,4,7,1]=>[6,3,2,5,4,1,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,6,3,7,1,4]=>[6,3,2,5,1,7,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,6,3,7,4,1]=>[6,3,2,5,1,4,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,6,4,1,3,7]=>[6,3,2,4,7,5,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,6,4,1,7,3]=>[6,3,2,4,7,1,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,6,4,3,1,7]=>[6,3,2,4,5,7,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,6,4,3,7,1]=>[6,3,2,4,5,1,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,6,4,7,1,3]=>[6,3,2,4,1,7,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,6,4,7,3,1]=>[6,3,2,4,1,5,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,5,6,7,1,4,3]=>[6,3,2,1,7,4,5]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,5,6,7,3,1,4]=>[6,3,2,1,5,7,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,5,6,7,3,4,1]=>[6,3,2,1,5,4,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,5,6,7,4,1,3]=>[6,3,2,1,4,7,5]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,5,6,7,4,3,1]=>[6,3,2,1,4,5,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,5,7,1,3,6,4]=>[6,3,1,7,5,2,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,7,1,4,6,3]=>[6,3,1,7,4,2,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,7,1,6,3,4]=>[6,3,1,7,2,5,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,7,1,6,4,3]=>[6,3,1,7,2,4,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,7,3,1,4,6]=>[6,3,1,5,7,4,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,7,3,1,6,4]=>[6,3,1,5,7,2,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,7,3,4,1,6]=>[6,3,1,5,4,7,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,7,3,4,6,1]=>[6,3,1,5,4,2,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,7,3,6,1,4]=>[6,3,1,5,2,7,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,7,3,6,4,1]=>[6,3,1,5,2,4,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,7,4,1,6,3]=>[6,3,1,4,7,2,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,7,4,3,1,6]=>[6,3,1,4,5,7,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,7,4,3,6,1]=>[6,3,1,4,5,2,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,7,4,6,1,3]=>[6,3,1,4,2,7,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,7,4,6,3,1]=>[6,3,1,4,2,5,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,7,6,1,3,4]=>[6,3,1,2,7,5,4]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,7,6,1,4,3]=>[6,3,1,2,7,4,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,7,6,3,1,4]=>[6,3,1,2,5,7,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,7,6,3,4,1]=>[6,3,1,2,5,4,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,3,5,7,4]=>[6,2,7,5,3,1,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,3,7,5,4]=>[6,2,7,5,1,3,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,4,3,7,5]=>[6,2,7,4,5,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,4,5,3,7]=>[6,2,7,4,3,5,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,4,5,7,3]=>[6,2,7,4,3,1,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,1,4,7,3,5]=>[6,2,7,4,1,5,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,4,7,5,3]=>[6,2,7,4,1,3,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,5,3,7,4]=>[6,2,7,3,5,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,5,4,7,3]=>[6,2,7,3,4,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,5,7,4,3]=>[6,2,7,3,1,4,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,7,4,3,5]=>[6,2,7,1,4,5,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,7,4,5,3]=>[6,2,7,1,4,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,7,5,3,4]=>[6,2,7,1,3,5,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,7,5,4,3]=>[6,2,7,1,3,4,5]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,3,1,4,5,7]=>[6,2,5,7,4,3,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,6,3,1,4,7,5]=>[6,2,5,7,4,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,3,1,5,4,7]=>[6,2,5,7,3,4,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,3,1,5,7,4]=>[6,2,5,7,3,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,3,1,7,4,5]=>[6,2,5,7,1,4,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,3,1,7,5,4]=>[6,2,5,7,1,3,4]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,3,4,1,5,7]=>[6,2,5,4,7,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,4,1,7,5]=>[6,2,5,4,7,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,4,5,1,7]=>[6,2,5,4,3,7,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,3,4,5,7,1]=>[6,2,5,4,3,1,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,3,4,7,1,5]=>[6,2,5,4,1,7,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,3,4,7,5,1]=>[6,2,5,4,1,3,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,3,5,1,4,7]=>[6,2,5,3,7,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,5,4,1,7]=>[6,2,5,3,4,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,5,7,1,4]=>[6,2,5,3,1,7,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,3,5,7,4,1]=>[6,2,5,3,1,4,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,3,7,1,4,5]=>[6,2,5,1,7,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,7,1,5,4]=>[6,2,5,1,7,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,7,4,1,5]=>[6,2,5,1,4,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,7,4,5,1]=>[6,2,5,1,4,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,7,5,1,4]=>[6,2,5,1,3,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,7,5,4,1]=>[6,2,5,1,3,4,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,6,4,1,3,7,5]=>[6,2,4,7,5,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,4,1,5,3,7]=>[6,2,4,7,3,5,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,4,1,5,7,3]=>[6,2,4,7,3,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,4,1,7,3,5]=>[6,2,4,7,1,5,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,4,1,7,5,3]=>[6,2,4,7,1,3,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,4,3,1,5,7]=>[6,2,4,5,7,3,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,4,3,5,1,7]=>[6,2,4,5,3,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,4,3,7,1,5]=>[6,2,4,5,1,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,4,3,7,5,1]=>[6,2,4,5,1,3,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,4,5,1,3,7]=>[6,2,4,3,7,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,4,5,1,7,3]=>[6,2,4,3,7,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,5,3,1,7]=>[6,2,4,3,5,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,5,7,1,3]=>[6,2,4,3,1,7,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,4,5,7,3,1]=>[6,2,4,3,1,5,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,4,7,1,3,5]=>[6,2,4,1,7,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,4,7,1,5,3]=>[6,2,4,1,7,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,7,3,1,5]=>[6,2,4,1,5,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,7,3,5,1]=>[6,2,4,1,5,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,7,5,1,3]=>[6,2,4,1,3,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,7,5,3,1]=>[6,2,4,1,3,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,6,5,1,3,7,4]=>[6,2,3,7,5,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,5,1,4,7,3]=>[6,2,3,7,4,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,5,1,7,3,4]=>[6,2,3,7,1,5,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,5,1,7,4,3]=>[6,2,3,7,1,4,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,5,3,1,4,7]=>[6,2,3,5,7,4,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,6,5,3,1,7,4]=>[6,2,3,5,7,1,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,5,3,4,1,7]=>[6,2,3,5,4,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,5,3,7,1,4]=>[6,2,3,5,1,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,5,3,7,4,1]=>[6,2,3,5,1,4,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,6,5,4,1,7,3]=>[6,2,3,4,7,1,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,5,4,3,1,7]=>[6,2,3,4,5,7,1]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,6,5,4,3,7,1]=>[6,2,3,4,5,1,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,5,4,7,1,3]=>[6,2,3,4,1,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,5,4,7,3,1]=>[6,2,3,4,1,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,5,7,1,3,4]=>[6,2,3,1,7,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,5,7,1,4,3]=>[6,2,3,1,7,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,7,3,1,4]=>[6,2,3,1,5,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,7,3,4,1]=>[6,2,3,1,5,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,7,4,1,3]=>[6,2,3,1,4,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,7,4,3,1]=>[6,2,3,1,4,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,6,7,1,3,5,4]=>[6,2,1,7,5,3,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,7,1,4,3,5]=>[6,2,1,7,4,5,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,7,3,1,4,5]=>[6,2,1,5,7,4,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,6,7,3,1,5,4]=>[6,2,1,5,7,3,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,7,3,4,1,5]=>[6,2,1,5,4,7,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,7,3,4,5,1]=>[6,2,1,5,4,3,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,7,3,5,1,4]=>[6,2,1,5,3,7,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,7,3,5,4,1]=>[6,2,1,5,3,4,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,7,4,3,1,5]=>[6,2,1,4,5,7,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,6,7,4,3,5,1]=>[6,2,1,4,5,3,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,7,4,5,1,3]=>[6,2,1,4,3,7,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,7,4,5,3,1]=>[6,2,1,4,3,5,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,7,5,1,3,4]=>[6,2,1,3,7,5,4]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,6,7,5,1,4,3]=>[6,2,1,3,7,4,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,6,7,5,3,4,1]=>[6,2,1,3,5,4,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,1,3,5,6,4]=>[6,1,7,5,3,2,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,4,5,3,6]=>[6,1,7,4,3,5,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,1,4,5,6,3]=>[6,1,7,4,3,2,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,1,4,6,5,3]=>[6,1,7,4,2,3,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,1,5,3,6,4]=>[6,1,7,3,5,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,5,4,6,3]=>[6,1,7,3,4,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,5,6,3,4]=>[6,1,7,3,2,5,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,1,5,6,4,3]=>[6,1,7,3,2,4,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,6,4,5,3]=>[6,1,7,2,4,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,3,1,4,5,6]=>[6,1,5,7,4,3,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,7,3,1,4,6,5]=>[6,1,5,7,4,2,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,3,1,5,4,6]=>[6,1,5,7,3,4,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,3,1,5,6,4]=>[6,1,5,7,3,2,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,3,1,6,4,5]=>[6,1,5,7,2,4,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,3,1,6,5,4]=>[6,1,5,7,2,3,4]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,3,4,1,5,6]=>[6,1,5,4,7,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,3,4,1,6,5]=>[6,1,5,4,7,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,3,4,5,6,1]=>[6,1,5,4,3,2,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,3,4,6,1,5]=>[6,1,5,4,2,7,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,3,4,6,5,1]=>[6,1,5,4,2,3,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,3,5,1,4,6]=>[6,1,5,3,7,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,3,5,1,6,4]=>[6,1,5,3,7,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,5,4,1,6]=>[6,1,5,3,4,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,3,5,4,6,1]=>[6,1,5,3,4,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,5,6,1,4]=>[6,1,5,3,2,7,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,3,5,6,4,1]=>[6,1,5,3,2,4,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,3,6,1,4,5]=>[6,1,5,2,7,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,3,6,1,5,4]=>[6,1,5,2,7,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,6,4,1,5]=>[6,1,5,2,4,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,3,6,4,5,1]=>[6,1,5,2,4,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,6,5,1,4]=>[6,1,5,2,3,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,3,6,5,4,1]=>[6,1,5,2,3,4,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,4,1,5,3,6]=>[6,1,4,7,3,5,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,4,1,5,6,3]=>[6,1,4,7,3,2,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,4,1,6,5,3]=>[6,1,4,7,2,3,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,4,3,1,5,6]=>[6,1,4,5,7,3,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,7,4,3,1,6,5]=>[6,1,4,5,7,2,3]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,4,3,5,1,6]=>[6,1,4,5,3,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,4,3,5,6,1]=>[6,1,4,5,3,2,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,4,3,6,1,5]=>[6,1,4,5,2,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,4,3,6,5,1]=>[6,1,4,5,2,3,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,4,5,1,3,6]=>[6,1,4,3,7,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,4,5,1,6,3]=>[6,1,4,3,7,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,5,3,1,6]=>[6,1,4,3,5,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,5,3,6,1]=>[6,1,4,3,5,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,5,6,1,3]=>[6,1,4,3,2,7,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,4,5,6,3,1]=>[6,1,4,3,2,5,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,4,6,1,5,3]=>[6,1,4,2,7,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,6,3,1,5]=>[6,1,4,2,5,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,6,3,5,1]=>[6,1,4,2,5,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,6,5,1,3]=>[6,1,4,2,3,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,6,5,3,1]=>[6,1,4,2,3,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,7,5,1,3,6,4]=>[6,1,3,7,5,2,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,5,1,4,6,3]=>[6,1,3,7,4,2,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,5,1,6,3,4]=>[6,1,3,7,2,5,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,5,1,6,4,3]=>[6,1,3,7,2,4,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,5,3,1,4,6]=>[6,1,3,5,7,4,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,7,5,3,1,6,4]=>[6,1,3,5,7,2,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,5,3,4,1,6]=>[6,1,3,5,4,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,5,3,4,6,1]=>[6,1,3,5,4,2,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,5,3,6,1,4]=>[6,1,3,5,2,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,5,3,6,4,1]=>[6,1,3,5,2,4,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,7,5,4,1,6,3]=>[6,1,3,4,7,2,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,7,5,4,3,6,1]=>[6,1,3,4,5,2,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,5,4,6,1,3]=>[6,1,3,4,2,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,5,4,6,3,1]=>[6,1,3,4,2,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,5,6,1,3,4]=>[6,1,3,2,7,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,5,6,1,4,3]=>[6,1,3,2,7,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,6,3,1,4]=>[6,1,3,2,5,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,5,6,3,4,1]=>[6,1,3,2,5,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,6,4,1,3]=>[6,1,3,2,4,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,5,6,4,3,1]=>[6,1,3,2,4,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,1,4,5,3]=>[6,1,2,7,4,3,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,6,3,1,4,5]=>[6,1,2,5,7,4,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,7,6,3,1,5,4]=>[6,1,2,5,7,3,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,6,3,4,1,5]=>[6,1,2,5,4,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,3,4,5,1]=>[6,1,2,5,4,3,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,3,5,4,1]=>[6,1,2,5,3,4,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,7,6,4,1,5,3]=>[6,1,2,4,7,3,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,6,4,3,1,5]=>[6,1,2,4,5,7,3]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,7,6,4,3,5,1]=>[6,1,2,4,5,3,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,4,5,3,1]=>[6,1,2,4,3,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,6,5,3,1,4]=>[6,1,2,3,5,7,4]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,7,6,5,3,4,1]=>[6,1,2,3,5,4,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,7,6,5,4,3,1]=>[6,1,2,3,4,5,7]=>[1,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[2,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,5,6,4,7]=>[5,7,6,3,2,4,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,5,6,7,4]=>[5,7,6,3,2,1,4]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,5,7,6,4]=>[5,7,6,3,1,2,4]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,2,6,4,7,5]=>[5,7,6,2,4,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,2,6,5,7,4]=>[5,7,6,2,3,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,6,7,4,5]=>[5,7,6,2,1,4,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,6,7,5,4]=>[5,7,6,2,1,3,4]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,2,7,5,6,4]=>[5,7,6,1,3,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,7,6,4,5]=>[5,7,6,1,2,4,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,1,4,2,5,7,6]=>[5,7,4,6,3,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,4,2,6,5,7]=>[5,7,4,6,2,3,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,4,2,6,7,5]=>[5,7,4,6,2,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,4,2,7,5,6]=>[5,7,4,6,1,3,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,4,2,7,6,5]=>[5,7,4,6,1,2,3]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,5,2,6,7]=>[5,7,4,3,6,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,4,5,2,7,6]=>[5,7,4,3,6,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,5,6,2,7]=>[5,7,4,3,2,6,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,5,6,7,2]=>[5,7,4,3,2,1,6]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,4,5,7,2,6]=>[5,7,4,3,1,6,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,5,7,6,2]=>[5,7,4,3,1,2,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,1,4,6,2,5,7]=>[5,7,4,2,6,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,4,6,2,7,5]=>[5,7,4,2,6,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,6,5,2,7]=>[5,7,4,2,3,6,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,4,6,5,7,2]=>[5,7,4,2,3,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,6,7,2,5]=>[5,7,4,2,1,6,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,6,7,5,2]=>[5,7,4,2,1,3,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,1,4,7,2,5,6]=>[5,7,4,1,6,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,4,7,2,6,5]=>[5,7,4,1,6,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,7,5,2,6]=>[5,7,4,1,3,6,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,7,6,2,5]=>[5,7,4,1,2,6,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,4,7,6,5,2]=>[5,7,4,1,2,3,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,2,6,4,7]=>[5,7,3,6,2,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,2,6,7,4]=>[5,7,3,6,2,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,2,7,6,4]=>[5,7,3,6,1,2,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,5,4,2,6,7]=>[5,7,3,4,6,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,5,4,2,7,6]=>[5,7,3,4,6,1,2]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,5,4,6,2,7]=>[5,7,3,4,2,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,4,6,7,2]=>[5,7,3,4,2,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,4,7,2,6]=>[5,7,3,4,1,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,4,7,6,2]=>[5,7,3,4,1,2,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,5,6,2,4,7]=>[5,7,3,2,6,4,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,5,6,2,7,4]=>[5,7,3,2,6,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,6,4,2,7]=>[5,7,3,2,4,6,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,6,4,7,2]=>[5,7,3,2,4,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,6,7,2,4]=>[5,7,3,2,1,6,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,6,7,4,2]=>[5,7,3,2,1,4,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,5,7,2,6,4]=>[5,7,3,1,6,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,7,4,2,6]=>[5,7,3,1,4,6,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,7,4,6,2]=>[5,7,3,1,4,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,7,6,2,4]=>[5,7,3,1,2,6,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,7,6,4,2]=>[5,7,3,1,2,4,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,1,6,2,4,7,5]=>[5,7,2,6,4,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,2,5,7,4]=>[5,7,2,6,3,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,6,2,7,4,5]=>[5,7,2,6,1,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,2,7,5,4]=>[5,7,2,6,1,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,4,2,5,7]=>[5,7,2,4,6,3,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,4,5,2,7]=>[5,7,2,4,3,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,4,5,7,2]=>[5,7,2,4,3,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,6,4,7,2,5]=>[5,7,2,4,1,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,4,7,5,2]=>[5,7,2,4,1,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,6,5,2,7,4]=>[5,7,2,3,6,1,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,5,4,2,7]=>[5,7,2,3,4,6,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,6,5,4,7,2]=>[5,7,2,3,4,1,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,5,7,2,4]=>[5,7,2,3,1,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,5,7,4,2]=>[5,7,2,3,1,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,7,2,4,5]=>[5,7,2,1,6,4,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,6,7,2,5,4]=>[5,7,2,1,6,3,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,6,7,4,2,5]=>[5,7,2,1,4,6,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,6,7,4,5,2]=>[5,7,2,1,4,3,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,6,7,5,2,4]=>[5,7,2,1,3,6,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,6,7,5,4,2]=>[5,7,2,1,3,4,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,2,5,6,4]=>[5,7,1,6,3,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,7,2,6,4,5]=>[5,7,1,6,2,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,7,4,2,5,6]=>[5,7,1,4,6,3,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,7,4,2,6,5]=>[5,7,1,4,6,2,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,4,5,2,6]=>[5,7,1,4,3,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,4,5,6,2]=>[5,7,1,4,3,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,7,4,6,2,5]=>[5,7,1,4,2,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,4,6,5,2]=>[5,7,1,4,2,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,7,5,2,6,4]=>[5,7,1,3,6,2,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,5,4,2,6]=>[5,7,1,3,4,6,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,7,5,4,6,2]=>[5,7,1,3,4,2,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,7,6,2,4,5]=>[5,7,1,2,6,4,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,6,4,2,5]=>[5,7,1,2,4,6,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,7,6,4,5,2]=>[5,7,1,2,4,3,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,7,6,5,4,2]=>[5,7,1,2,3,4,6]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,1,4,6,7,5]=>[5,6,7,4,2,1,3]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,1,4,7,5,6]=>[5,6,7,4,1,3,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,1,5,6,4,7]=>[5,6,7,3,2,4,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,1,5,6,7,4]=>[5,6,7,3,2,1,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,1,5,7,6,4]=>[5,6,7,3,1,2,4]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,1,6,4,5,7]=>[5,6,7,2,4,3,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,1,6,4,7,5]=>[5,6,7,2,4,1,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,1,6,5,7,4]=>[5,6,7,2,3,1,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,1,6,7,5,4]=>[5,6,7,2,1,3,4]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,1,7,4,5,6]=>[5,6,7,1,4,3,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,1,7,6,4,5]=>[5,6,7,1,2,4,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,4,1,5,7,6]=>[5,6,4,7,3,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,4,1,6,5,7]=>[5,6,4,7,2,3,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,4,1,6,7,5]=>[5,6,4,7,2,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,4,1,7,5,6]=>[5,6,4,7,1,3,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,4,1,7,6,5]=>[5,6,4,7,1,2,3]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,5,1,7,6]=>[5,6,4,3,7,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,2,4,5,7,1,6]=>[5,6,4,3,1,7,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,5,7,6,1]=>[5,6,4,3,1,2,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,2,4,6,1,5,7]=>[5,6,4,2,7,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,6,1,7,5]=>[5,6,4,2,7,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,6,5,1,7]=>[5,6,4,2,3,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,6,7,1,5]=>[5,6,4,2,1,7,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,6,7,5,1]=>[5,6,4,2,1,3,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,2,4,7,1,5,6]=>[5,6,4,1,7,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,7,1,6,5]=>[5,6,4,1,7,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,7,5,1,6]=>[5,6,4,1,3,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,7,5,6,1]=>[5,6,4,1,3,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,7,6,1,5]=>[5,6,4,1,2,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,7,6,5,1]=>[5,6,4,1,2,3,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,5,1,6,4,7]=>[5,6,3,7,2,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,5,1,6,7,4]=>[5,6,3,7,2,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,5,1,7,6,4]=>[5,6,3,7,1,2,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,5,4,1,6,7]=>[5,6,3,4,7,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,5,4,1,7,6]=>[5,6,3,4,7,1,2]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,5,4,6,1,7]=>[5,6,3,4,2,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,5,4,6,7,1]=>[5,6,3,4,2,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,5,4,7,1,6]=>[5,6,3,4,1,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,5,4,7,6,1]=>[5,6,3,4,1,2,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,5,6,1,4,7]=>[5,6,3,2,7,4,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,6,1,7,4]=>[5,6,3,2,7,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,6,4,1,7]=>[5,6,3,2,4,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,6,4,7,1]=>[5,6,3,2,4,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,6,7,1,4]=>[5,6,3,2,1,7,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,5,6,7,4,1]=>[5,6,3,2,1,4,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,7,1,6,4]=>[5,6,3,1,7,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,7,4,1,6]=>[5,6,3,1,4,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,7,4,6,1]=>[5,6,3,1,4,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,7,6,1,4]=>[5,6,3,1,2,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,7,6,4,1]=>[5,6,3,1,2,4,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,6,1,4,7,5]=>[5,6,2,7,4,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,1,5,7,4]=>[5,6,2,7,3,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,6,1,7,4,5]=>[5,6,2,7,1,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,1,7,5,4]=>[5,6,2,7,1,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,4,1,5,7]=>[5,6,2,4,7,3,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,6,4,1,7,5]=>[5,6,2,4,7,1,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,4,5,1,7]=>[5,6,2,4,3,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,4,5,7,1]=>[5,6,2,4,3,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,6,4,7,1,5]=>[5,6,2,4,1,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,4,7,5,1]=>[5,6,2,4,1,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,6,5,1,7,4]=>[5,6,2,3,7,1,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,5,4,1,7]=>[5,6,2,3,4,7,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,6,5,4,7,1]=>[5,6,2,3,4,1,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,7,1,4,5]=>[5,6,2,1,7,4,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,6,7,1,5,4]=>[5,6,2,1,7,3,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,7,4,1,5]=>[5,6,2,1,4,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,6,7,4,5,1]=>[5,6,2,1,4,3,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,7,5,1,4]=>[5,6,2,1,3,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,6,7,5,4,1]=>[5,6,2,1,3,4,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,1,5,6,4]=>[5,6,1,7,3,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,7,1,6,4,5]=>[5,6,1,7,2,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,7,4,1,5,6]=>[5,6,1,4,7,3,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,7,4,5,1,6]=>[5,6,1,4,3,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,4,5,6,1]=>[5,6,1,4,3,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,7,4,6,1,5]=>[5,6,1,4,2,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,4,6,5,1]=>[5,6,1,4,2,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,7,5,1,6,4]=>[5,6,1,3,7,2,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,7,5,4,1,6]=>[5,6,1,3,4,7,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,7,5,4,6,1]=>[5,6,1,3,4,2,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,7,5,6,1,4]=>[5,6,1,3,2,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,5,6,4,1]=>[5,6,1,3,2,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,7,6,1,4,5]=>[5,6,1,2,7,4,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,7,6,4,1,5]=>[5,6,1,2,4,7,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,7,6,4,5,1]=>[5,6,1,2,4,3,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,7,6,5,4,1]=>[5,6,1,2,3,4,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,2,6,7,5]=>[5,4,7,6,2,1,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,1,2,7,5,6]=>[5,4,7,6,1,3,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,1,5,2,6,7]=>[5,4,7,3,6,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,5,2,7,6]=>[5,4,7,3,6,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,5,6,2,7]=>[5,4,7,3,2,6,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,5,6,7,2]=>[5,4,7,3,2,1,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,1,5,7,2,6]=>[5,4,7,3,1,6,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,5,7,6,2]=>[5,4,7,3,1,2,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,1,6,2,5,7]=>[5,4,7,2,6,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,6,2,7,5]=>[5,4,7,2,6,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,6,5,2,7]=>[5,4,7,2,3,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,6,5,7,2]=>[5,4,7,2,3,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,6,7,2,5]=>[5,4,7,2,1,6,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,6,7,5,2]=>[5,4,7,2,1,3,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,1,7,2,5,6]=>[5,4,7,1,6,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,7,2,6,5]=>[5,4,7,1,6,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,7,5,2,6]=>[5,4,7,1,3,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,7,5,6,2]=>[5,4,7,1,3,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,7,6,2,5]=>[5,4,7,1,2,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,7,6,5,2]=>[5,4,7,1,2,3,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,4,2,1,5,7,6]=>[5,4,6,7,3,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,2,1,6,5,7]=>[5,4,6,7,2,3,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,2,1,6,7,5]=>[5,4,6,7,2,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,2,1,7,5,6]=>[5,4,6,7,1,3,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,2,1,7,6,5]=>[5,4,6,7,1,2,3]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,2,5,1,7,6]=>[5,4,6,3,7,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,2,5,7,1,6]=>[5,4,6,3,1,7,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,2,5,7,6,1]=>[5,4,6,3,1,2,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,2,6,1,5,7]=>[5,4,6,2,7,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,2,6,1,7,5]=>[5,4,6,2,7,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,6,5,1,7]=>[5,4,6,2,3,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,2,6,5,7,1]=>[5,4,6,2,3,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,6,7,1,5]=>[5,4,6,2,1,7,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,2,6,7,5,1]=>[5,4,6,2,1,3,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,2,7,1,5,6]=>[5,4,6,1,7,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,2,7,1,6,5]=>[5,4,6,1,7,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,7,5,1,6]=>[5,4,6,1,3,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,2,7,5,6,1]=>[5,4,6,1,3,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,7,6,1,5]=>[5,4,6,1,2,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,2,7,6,5,1]=>[5,4,6,1,2,3,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,4,5,1,2,7,6]=>[5,4,3,7,6,1,2]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,5,1,6,2,7]=>[5,4,3,7,2,6,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,5,1,6,7,2]=>[5,4,3,7,2,1,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,5,1,7,2,6]=>[5,4,3,7,1,6,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,5,1,7,6,2]=>[5,4,3,7,1,2,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,5,2,1,7,6]=>[5,4,3,6,7,1,2]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,5,2,7,1,6]=>[5,4,3,6,1,7,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,5,2,7,6,1]=>[5,4,3,6,1,2,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,4,5,6,1,7,2]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>[1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,5,7,2,1,6]=>[5,4,3,1,6,7,2]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,5,7,2,6,1]=>[5,4,3,1,6,2,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,5,7,6,1,2]=>[5,4,3,1,2,7,6]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,4,6,1,2,7,5]=>[5,4,2,7,6,1,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,6,1,5,2,7]=>[5,4,2,7,3,6,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,6,1,5,7,2]=>[5,4,2,7,3,1,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,6,1,7,2,5]=>[5,4,2,7,1,6,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,6,1,7,5,2]=>[5,4,2,7,1,3,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,6,2,1,5,7]=>[5,4,2,6,7,3,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,6,2,1,7,5]=>[5,4,2,6,7,1,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,6,2,5,1,7]=>[5,4,2,6,3,7,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,6,2,5,7,1]=>[5,4,2,6,3,1,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,6,2,7,1,5]=>[5,4,2,6,1,7,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,6,2,7,5,1]=>[5,4,2,6,1,3,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,6,5,1,2,7]=>[5,4,2,3,7,6,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,6,5,1,7,2]=>[5,4,2,3,7,1,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,6,5,2,1,7]=>[5,4,2,3,6,7,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,4,6,5,2,7,1]=>[5,4,2,3,6,1,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,6,5,7,1,2]=>[5,4,2,3,1,7,6]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,6,5,7,2,1]=>[5,4,2,3,1,6,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,6,7,1,2,5]=>[5,4,2,1,7,6,3]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,4,6,7,1,5,2]=>[5,4,2,1,7,3,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,6,7,2,1,5]=>[5,4,2,1,6,7,3]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,6,7,2,5,1]=>[5,4,2,1,6,3,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,6,7,5,1,2]=>[5,4,2,1,3,7,6]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,6,7,5,2,1]=>[5,4,2,1,3,6,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,4,7,1,2,6,5]=>[5,4,1,7,6,2,3]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,7,1,5,2,6]=>[5,4,1,7,3,6,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,7,1,5,6,2]=>[5,4,1,7,3,2,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,7,1,6,2,5]=>[5,4,1,7,2,6,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,7,1,6,5,2]=>[5,4,1,7,2,3,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,7,2,1,5,6]=>[5,4,1,6,7,3,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,7,2,1,6,5]=>[5,4,1,6,7,2,3]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,7,2,5,1,6]=>[5,4,1,6,3,7,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,7,2,5,6,1]=>[5,4,1,6,3,2,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,7,2,6,5,1]=>[5,4,1,6,2,3,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,7,5,1,2,6]=>[5,4,1,3,7,6,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,7,5,1,6,2]=>[5,4,1,3,7,2,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,7,5,2,1,6]=>[5,4,1,3,6,7,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,4,7,5,2,6,1]=>[5,4,1,3,6,2,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,7,5,6,1,2]=>[5,4,1,3,2,7,6]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,7,5,6,2,1]=>[5,4,1,3,2,6,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,7,6,1,2,5]=>[5,4,1,2,7,6,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,7,6,1,5,2]=>[5,4,1,2,7,3,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,7,6,2,1,5]=>[5,4,1,2,6,7,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,4,7,6,2,5,1]=>[5,4,1,2,6,3,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,7,6,5,1,2]=>[5,4,1,2,3,7,6]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,4,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,1,2,6,4,7]=>[5,3,7,6,2,4,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,2,6,7,4]=>[5,3,7,6,2,1,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,2,7,6,4]=>[5,3,7,6,1,2,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,4,6,2,7]=>[5,3,7,4,2,6,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,4,6,7,2]=>[5,3,7,4,2,1,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,1,4,7,2,6]=>[5,3,7,4,1,6,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,4,7,6,2]=>[5,3,7,4,1,2,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,1,6,2,7,4]=>[5,3,7,2,6,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,6,4,2,7]=>[5,3,7,2,4,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,6,4,7,2]=>[5,3,7,2,4,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,6,7,2,4]=>[5,3,7,2,1,6,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,6,7,4,2]=>[5,3,7,2,1,4,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,7,4,2,6]=>[5,3,7,1,4,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,7,4,6,2]=>[5,3,7,1,4,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,7,6,2,4]=>[5,3,7,1,2,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,7,6,4,2]=>[5,3,7,1,2,4,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,2,1,6,4,7]=>[5,3,6,7,2,4,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,2,1,6,7,4]=>[5,3,6,7,2,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,2,1,7,6,4]=>[5,3,6,7,1,2,4]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,2,4,1,6,7]=>[5,3,6,4,7,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,4,1,7,6]=>[5,3,6,4,7,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,4,6,1,7]=>[5,3,6,4,2,7,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,4,6,7,1]=>[5,3,6,4,2,1,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,2,4,7,1,6]=>[5,3,6,4,1,7,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,4,7,6,1]=>[5,3,6,4,1,2,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,2,6,1,4,7]=>[5,3,6,2,7,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,6,4,1,7]=>[5,3,6,2,4,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,2,6,4,7,1]=>[5,3,6,2,4,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,6,7,1,4]=>[5,3,6,2,1,7,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,6,7,4,1]=>[5,3,6,2,1,4,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,7,1,6,4]=>[5,3,6,1,7,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,7,4,1,6]=>[5,3,6,1,4,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,2,7,4,6,1]=>[5,3,6,1,4,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,7,6,1,4]=>[5,3,6,1,2,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,2,7,6,4,1]=>[5,3,6,1,2,4,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,4,1,2,6,7]=>[5,3,4,7,6,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,5,4,1,2,7,6]=>[5,3,4,7,6,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,4,1,6,2,7]=>[5,3,4,7,2,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,4,1,6,7,2]=>[5,3,4,7,2,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,4,1,7,2,6]=>[5,3,4,7,1,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,4,1,7,6,2]=>[5,3,4,7,1,2,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,4,2,1,6,7]=>[5,3,4,6,7,2,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,5,4,2,1,7,6]=>[5,3,4,6,7,1,2]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,5,4,2,6,1,7]=>[5,3,4,6,2,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,4,2,7,1,6]=>[5,3,4,6,1,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,4,2,7,6,1]=>[5,3,4,6,1,2,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,4,6,1,2,7]=>[5,3,4,2,7,6,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,4,6,1,7,2]=>[5,3,4,2,7,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,4,6,2,1,7]=>[5,3,4,2,6,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,4,6,7,1,2]=>[5,3,4,2,1,7,6]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,4,6,7,2,1]=>[5,3,4,2,1,6,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,4,7,1,2,6]=>[5,3,4,1,7,6,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,4,7,1,6,2]=>[5,3,4,1,7,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,4,7,2,1,6]=>[5,3,4,1,6,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,7,2,6,1]=>[5,3,4,1,6,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,4,7,6,1,2]=>[5,3,4,1,2,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,7,6,2,1]=>[5,3,4,1,2,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,5,6,1,2,7,4]=>[5,3,2,7,6,1,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,6,1,4,2,7]=>[5,3,2,7,4,6,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,6,1,4,7,2]=>[5,3,2,7,4,1,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,6,1,7,2,4]=>[5,3,2,7,1,6,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,6,1,7,4,2]=>[5,3,2,7,1,4,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,6,2,1,4,7]=>[5,3,2,6,7,4,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,6,2,1,7,4]=>[5,3,2,6,7,1,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,6,2,4,1,7]=>[5,3,2,6,4,7,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,6,4,1,2,7]=>[5,3,2,4,7,6,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,6,4,1,7,2]=>[5,3,2,4,7,1,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,6,4,2,1,7]=>[5,3,2,4,6,7,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,6,4,7,1,2]=>[5,3,2,4,1,7,6]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,6,7,1,2,4]=>[5,3,2,1,7,6,4]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,5,6,7,1,4,2]=>[5,3,2,1,7,4,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,5,6,7,2,1,4]=>[5,3,2,1,6,7,4]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,5,6,7,2,4,1]=>[5,3,2,1,6,4,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,5,6,7,4,1,2]=>[5,3,2,1,4,7,6]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,5,7,1,2,6,4]=>[5,3,1,7,6,2,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,7,1,4,2,6]=>[5,3,1,7,4,6,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,7,2,1,6,4]=>[5,3,1,6,7,2,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,7,2,4,1,6]=>[5,3,1,6,4,7,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,7,2,4,6,1]=>[5,3,1,6,4,2,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,7,2,6,1,4]=>[5,3,1,6,2,7,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,7,2,6,4,1]=>[5,3,1,6,2,4,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,7,4,2,1,6]=>[5,3,1,4,6,7,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,5,7,4,2,6,1]=>[5,3,1,4,6,2,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,7,4,6,1,2]=>[5,3,1,4,2,7,6]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,7,4,6,2,1]=>[5,3,1,4,2,6,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,7,6,1,2,4]=>[5,3,1,2,7,6,4]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,7,6,1,4,2]=>[5,3,1,2,7,4,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,5,7,6,2,4,1]=>[5,3,1,2,6,4,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,7,6,4,1,2]=>[5,3,1,2,4,7,6]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,6,1,2,4,7,5]=>[5,2,7,6,4,1,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,2,5,7,4]=>[5,2,7,6,3,1,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,1,2,7,4,5]=>[5,2,7,6,1,4,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,2,7,5,4]=>[5,2,7,6,1,3,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,1,4,2,5,7]=>[5,2,7,4,6,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,1,4,2,7,5]=>[5,2,7,4,6,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,4,5,7,2]=>[5,2,7,4,3,1,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,4,7,5,2]=>[5,2,7,4,1,3,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,1,5,2,7,4]=>[5,2,7,3,6,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,5,4,7,2]=>[5,2,7,3,4,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,5,7,2,4]=>[5,2,7,3,1,6,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,5,7,4,2]=>[5,2,7,3,1,4,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,1,7,2,4,5]=>[5,2,7,1,6,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,1,7,2,5,4]=>[5,2,7,1,6,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,7,4,2,5]=>[5,2,7,1,4,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,7,4,5,2]=>[5,2,7,1,4,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,7,5,4,2]=>[5,2,7,1,3,4,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,6,2,1,4,7,5]=>[5,2,6,7,4,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,2,1,5,7,4]=>[5,2,6,7,3,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,2,1,7,4,5]=>[5,2,6,7,1,4,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,2,1,7,5,4]=>[5,2,6,7,1,3,4]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,2,4,1,5,7]=>[5,2,6,4,7,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,2,4,1,7,5]=>[5,2,6,4,7,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,4,5,1,7]=>[5,2,6,4,3,7,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,4,5,7,1]=>[5,2,6,4,3,1,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,2,4,7,1,5]=>[5,2,6,4,1,7,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,4,7,5,1]=>[5,2,6,4,1,3,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,2,5,1,7,4]=>[5,2,6,3,7,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,5,4,1,7]=>[5,2,6,3,4,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,5,4,7,1]=>[5,2,6,3,4,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,5,7,1,4]=>[5,2,6,3,1,7,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,5,7,4,1]=>[5,2,6,3,1,4,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,2,7,1,4,5]=>[5,2,6,1,7,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,2,7,1,5,4]=>[5,2,6,1,7,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,7,4,1,5]=>[5,2,6,1,4,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,7,4,5,1]=>[5,2,6,1,4,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,7,5,1,4]=>[5,2,6,1,3,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,7,5,4,1]=>[5,2,6,1,3,4,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,4,1,2,5,7]=>[5,2,4,7,6,3,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,6,4,1,2,7,5]=>[5,2,4,7,6,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,4,1,5,2,7]=>[5,2,4,7,3,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,4,1,5,7,2]=>[5,2,4,7,3,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,4,1,7,2,5]=>[5,2,4,7,1,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,4,1,7,5,2]=>[5,2,4,7,1,3,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,4,2,1,5,7]=>[5,2,4,6,7,3,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,6,4,2,1,7,5]=>[5,2,4,6,7,1,3]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,4,2,5,1,7]=>[5,2,4,6,3,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,4,2,5,7,1]=>[5,2,4,6,3,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,4,2,7,1,5]=>[5,2,4,6,1,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,4,2,7,5,1]=>[5,2,4,6,1,3,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,4,5,1,2,7]=>[5,2,4,3,7,6,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,4,5,1,7,2]=>[5,2,4,3,7,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,5,2,1,7]=>[5,2,4,3,6,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,5,2,7,1]=>[5,2,4,3,6,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,5,7,1,2]=>[5,2,4,3,1,7,6]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,4,5,7,2,1]=>[5,2,4,3,1,6,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,4,7,1,2,5]=>[5,2,4,1,7,6,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,4,7,1,5,2]=>[5,2,4,1,7,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,7,2,1,5]=>[5,2,4,1,6,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,7,2,5,1]=>[5,2,4,1,6,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,7,5,1,2]=>[5,2,4,1,3,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,7,5,2,1]=>[5,2,4,1,3,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,6,5,1,2,7,4]=>[5,2,3,7,6,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,5,1,4,2,7]=>[5,2,3,7,4,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,5,1,4,7,2]=>[5,2,3,7,4,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,5,1,7,2,4]=>[5,2,3,7,1,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,5,1,7,4,2]=>[5,2,3,7,1,4,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,6,5,2,1,7,4]=>[5,2,3,6,7,1,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,5,2,4,1,7]=>[5,2,3,6,4,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,5,2,4,7,1]=>[5,2,3,6,4,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,5,2,7,1,4]=>[5,2,3,6,1,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,5,2,7,4,1]=>[5,2,3,6,1,4,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,5,4,1,2,7]=>[5,2,3,4,7,6,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,6,5,4,1,7,2]=>[5,2,3,4,7,1,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,5,4,2,1,7]=>[5,2,3,4,6,7,1]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,6,5,4,2,7,1]=>[5,2,3,4,6,1,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,5,4,7,1,2]=>[5,2,3,4,1,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,5,4,7,2,1]=>[5,2,3,4,1,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,5,7,1,2,4]=>[5,2,3,1,7,6,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,5,7,1,4,2]=>[5,2,3,1,7,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,7,2,1,4]=>[5,2,3,1,6,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,5,7,2,4,1]=>[5,2,3,1,6,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,7,4,1,2]=>[5,2,3,1,4,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,5,7,4,2,1]=>[5,2,3,1,4,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,6,7,1,2,5,4]=>[5,2,1,7,6,3,4]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,7,1,4,2,5]=>[5,2,1,7,4,6,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,1,4,5,2]=>[5,2,1,7,4,3,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,7,1,5,2,4]=>[5,2,1,7,3,6,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,1,5,4,2]=>[5,2,1,7,3,4,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,7,2,1,4,5]=>[5,2,1,6,7,4,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,7,2,1,5,4]=>[5,2,1,6,7,3,4]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,7,2,4,1,5]=>[5,2,1,6,4,7,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,2,4,5,1]=>[5,2,1,6,4,3,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,7,2,5,1,4]=>[5,2,1,6,3,7,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,2,5,4,1]=>[5,2,1,6,3,4,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,7,4,1,5,2]=>[5,2,1,4,7,3,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,7,4,2,1,5]=>[5,2,1,4,6,7,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,6,7,4,2,5,1]=>[5,2,1,4,6,3,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,7,4,5,1,2]=>[5,2,1,4,3,7,6]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,4,5,2,1]=>[5,2,1,4,3,6,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,7,5,1,2,4]=>[5,2,1,3,7,6,4]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,7,5,1,4,2]=>[5,2,1,3,7,4,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,7,5,2,1,4]=>[5,2,1,3,6,7,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,6,7,5,2,4,1]=>[5,2,1,3,6,4,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,7,5,4,1,2]=>[5,2,1,3,4,7,6]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,6,7,5,4,2,1]=>[5,2,1,3,4,6,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,2,5,6,4]=>[5,1,7,6,3,2,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,1,2,6,4,5]=>[5,1,7,6,2,4,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,1,4,2,5,6]=>[5,1,7,4,6,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,1,4,2,6,5]=>[5,1,7,4,6,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,4,5,2,6]=>[5,1,7,4,3,6,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,1,4,6,2,5]=>[5,1,7,4,2,6,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,1,5,2,6,4]=>[5,1,7,3,6,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,5,4,2,6]=>[5,1,7,3,4,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,5,6,2,4]=>[5,1,7,3,2,6,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,5,6,4,2]=>[5,1,7,3,2,4,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,1,6,2,4,5]=>[5,1,7,2,6,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,6,4,2,5]=>[5,1,7,2,4,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,1,6,4,5,2]=>[5,1,7,2,4,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,2,1,5,6,4]=>[5,1,6,7,3,2,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,2,1,6,4,5]=>[5,1,6,7,2,4,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,2,4,1,5,6]=>[5,1,6,4,7,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,4,1,6,5]=>[5,1,6,4,7,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,4,5,1,6]=>[5,1,6,4,3,7,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,4,5,6,1]=>[5,1,6,4,3,2,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,4,6,5,1]=>[5,1,6,4,2,3,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,5,1,6,4]=>[5,1,6,3,7,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,5,4,1,6]=>[5,1,6,3,4,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,2,5,4,6,1]=>[5,1,6,3,4,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,5,6,1,4]=>[5,1,6,3,2,7,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,5,6,4,1]=>[5,1,6,3,2,4,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,6,4,1,5]=>[5,1,6,2,4,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,2,6,4,5,1]=>[5,1,6,2,4,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,2,6,5,4,1]=>[5,1,6,2,3,4,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,4,1,2,5,6]=>[5,1,4,7,6,3,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,7,4,1,2,6,5]=>[5,1,4,7,6,2,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,4,1,5,2,6]=>[5,1,4,7,3,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,4,1,5,6,2]=>[5,1,4,7,3,2,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,4,1,6,2,5]=>[5,1,4,7,2,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,4,1,6,5,2]=>[5,1,4,7,2,3,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,4,2,1,5,6]=>[5,1,4,6,7,3,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,7,4,2,1,6,5]=>[5,1,4,6,7,2,3]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,4,2,5,1,6]=>[5,1,4,6,3,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,4,2,5,6,1]=>[5,1,4,6,3,2,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,4,2,6,1,5]=>[5,1,4,6,2,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,4,2,6,5,1]=>[5,1,4,6,2,3,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,4,5,1,2,6]=>[5,1,4,3,7,6,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,4,5,1,6,2]=>[5,1,4,3,7,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,5,2,1,6]=>[5,1,4,3,6,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,4,5,2,6,1]=>[5,1,4,3,6,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,5,6,1,2]=>[5,1,4,3,2,7,6]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,5,6,2,1]=>[5,1,4,3,2,6,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,4,6,1,2,5]=>[5,1,4,2,7,6,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,4,6,1,5,2]=>[5,1,4,2,7,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,6,2,1,5]=>[5,1,4,2,6,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,4,6,2,5,1]=>[5,1,4,2,6,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,6,5,1,2]=>[5,1,4,2,3,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,4,6,5,2,1]=>[5,1,4,2,3,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,7,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,5,1,4,2,6]=>[5,1,3,7,4,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,5,1,4,6,2]=>[5,1,3,7,4,2,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,5,1,6,2,4]=>[5,1,3,7,2,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,5,1,6,4,2]=>[5,1,3,7,2,4,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,7,5,2,1,6,4]=>[5,1,3,6,7,2,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,5,2,4,1,6]=>[5,1,3,6,4,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,5,2,4,6,1]=>[5,1,3,6,4,2,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,5,2,6,1,4]=>[5,1,3,6,2,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,5,2,6,4,1]=>[5,1,3,6,2,4,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,5,4,1,2,6]=>[5,1,3,4,7,6,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,7,5,4,1,6,2]=>[5,1,3,4,7,2,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,5,4,2,1,6]=>[5,1,3,4,6,7,2]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,7,5,4,2,6,1]=>[5,1,3,4,6,2,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,5,4,6,1,2]=>[5,1,3,4,2,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,5,4,6,2,1]=>[5,1,3,4,2,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,5,6,1,2,4]=>[5,1,3,2,7,6,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,5,6,1,4,2]=>[5,1,3,2,7,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,5,6,2,1,4]=>[5,1,3,2,6,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,6,2,4,1]=>[5,1,3,2,6,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,5,6,4,1,2]=>[5,1,3,2,4,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,6,4,2,1]=>[5,1,3,2,4,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,6,1,4,2,5]=>[5,1,2,7,4,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,1,4,5,2]=>[5,1,2,7,4,3,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,1,5,4,2]=>[5,1,2,7,3,4,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,6,2,1,4,5]=>[5,1,2,6,7,4,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,6,2,4,1,5]=>[5,1,2,6,4,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,2,4,5,1]=>[5,1,2,6,4,3,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,2,5,4,1]=>[5,1,2,6,3,4,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,6,4,1,2,5]=>[5,1,2,4,7,6,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,7,6,4,1,5,2]=>[5,1,2,4,7,3,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,7,6,4,2,5,1]=>[5,1,2,4,6,3,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,6,4,5,1,2]=>[5,1,2,4,3,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,4,5,2,1]=>[5,1,2,4,3,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,7,6,5,1,4,2]=>[5,1,2,3,7,4,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,7,6,5,2,4,1]=>[5,1,2,3,6,4,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,6,5,4,1,2]=>[5,1,2,3,4,7,6]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,7,6,5,4,2,1]=>[5,1,2,3,4,6,7]=>[1,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[2,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,3,6,7,5]=>[4,7,6,5,2,1,3]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,2,5,3,7,6]=>[4,7,6,3,5,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,5,6,3,7]=>[4,7,6,3,2,5,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,5,6,7,3]=>[4,7,6,3,2,1,5]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,5,7,3,6]=>[4,7,6,3,1,5,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,5,7,6,3]=>[4,7,6,3,1,2,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,2,6,5,7,3]=>[4,7,6,2,3,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,6,7,3,5]=>[4,7,6,2,1,5,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,6,7,5,3]=>[4,7,6,2,1,3,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,7,5,3,6]=>[4,7,6,1,3,5,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,2,7,5,6,3]=>[4,7,6,1,3,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,2,7,6,5,3]=>[4,7,6,1,2,3,5]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,3,2,6,7,5]=>[4,7,5,6,2,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,3,5,2,6,7]=>[4,7,5,3,6,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,5,2,7,6]=>[4,7,5,3,6,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,5,6,2,7]=>[4,7,5,3,2,6,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,5,6,7,2]=>[4,7,5,3,2,1,6]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,3,5,7,2,6]=>[4,7,5,3,1,6,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,5,7,6,2]=>[4,7,5,3,1,2,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,6,2,7,5]=>[4,7,5,2,6,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,6,5,2,7]=>[4,7,5,2,3,6,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,3,6,5,7,2]=>[4,7,5,2,3,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,6,7,2,5]=>[4,7,5,2,1,6,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,6,7,5,2]=>[4,7,5,2,1,3,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,7,5,2,6]=>[4,7,5,1,3,6,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,3,7,5,6,2]=>[4,7,5,1,3,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,3,7,6,5,2]=>[4,7,5,1,2,3,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,5,2,6,7,3]=>[4,7,3,6,2,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,5,2,7,6,3]=>[4,7,3,6,1,2,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,5,3,2,7,6]=>[4,7,3,5,6,1,2]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,3,6,2,7]=>[4,7,3,5,2,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,5,3,6,7,2]=>[4,7,3,5,2,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,5,3,7,2,6]=>[4,7,3,5,1,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,5,3,7,6,2]=>[4,7,3,5,1,2,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,5,6,2,3,7]=>[4,7,3,2,6,5,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,6,2,7,3]=>[4,7,3,2,6,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,6,3,2,7]=>[4,7,3,2,5,6,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,5,6,3,7,2]=>[4,7,3,2,5,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,6,7,2,3]=>[4,7,3,2,1,6,5]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,6,7,3,2]=>[4,7,3,2,1,5,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,7,2,6,3]=>[4,7,3,1,6,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,7,3,2,6]=>[4,7,3,1,5,6,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,5,7,3,6,2]=>[4,7,3,1,5,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,7,6,2,3]=>[4,7,3,1,2,6,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,5,7,6,3,2]=>[4,7,3,1,2,5,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,2,5,3,7]=>[4,7,2,6,3,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,6,2,5,7,3]=>[4,7,2,6,3,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,6,2,7,5,3]=>[4,7,2,6,1,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,6,3,2,7,5]=>[4,7,2,5,6,1,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,6,3,5,2,7]=>[4,7,2,5,3,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,6,3,5,7,2]=>[4,7,2,5,3,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,6,3,7,5,2]=>[4,7,2,5,1,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,5,2,3,7]=>[4,7,2,3,6,5,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,6,5,2,7,3]=>[4,7,2,3,6,1,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,6,5,3,2,7]=>[4,7,2,3,5,6,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,6,5,3,7,2]=>[4,7,2,3,5,1,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,6,5,7,2,3]=>[4,7,2,3,1,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,6,5,7,3,2]=>[4,7,2,3,1,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,6,7,2,5,3]=>[4,7,2,1,6,3,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,7,3,5,2]=>[4,7,2,1,5,3,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,7,5,2,3]=>[4,7,2,1,3,6,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,7,5,3,2]=>[4,7,2,1,3,5,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,7,2,5,3,6]=>[4,7,1,6,3,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,2,5,6,3]=>[4,7,1,6,3,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,2,6,5,3]=>[4,7,1,6,2,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,3,5,2,6]=>[4,7,1,5,3,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,3,5,6,2]=>[4,7,1,5,3,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,3,6,5,2]=>[4,7,1,5,2,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,7,5,2,3,6]=>[4,7,1,3,6,5,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,7,5,2,6,3]=>[4,7,1,3,6,2,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,7,5,3,6,2]=>[4,7,1,3,5,2,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,5,6,2,3]=>[4,7,1,3,2,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,5,6,3,2]=>[4,7,1,3,2,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,7,6,2,5,3]=>[4,7,1,2,6,3,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,7,6,3,5,2]=>[4,7,1,2,5,3,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,6,5,2,3]=>[4,7,1,2,3,6,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,1,5,3,6,7]=>[4,6,7,3,5,2,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,1,5,3,7,6]=>[4,6,7,3,5,1,2]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,1,5,6,3,7]=>[4,6,7,3,2,5,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,1,5,6,7,3]=>[4,6,7,3,2,1,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,1,5,7,3,6]=>[4,6,7,3,1,5,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,1,5,7,6,3]=>[4,6,7,3,1,2,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,1,6,3,7,5]=>[4,6,7,2,5,1,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,1,6,5,3,7]=>[4,6,7,2,3,5,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,1,6,5,7,3]=>[4,6,7,2,3,1,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,1,6,7,3,5]=>[4,6,7,2,1,5,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,1,6,7,5,3]=>[4,6,7,2,1,3,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,1,7,5,3,6]=>[4,6,7,1,3,5,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,1,7,5,6,3]=>[4,6,7,1,3,2,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,1,7,6,5,3]=>[4,6,7,1,2,3,5]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,3,1,6,7,5]=>[4,6,5,7,2,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,3,1,7,5,6]=>[4,6,5,7,1,3,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,3,5,1,7,6]=>[4,6,5,3,7,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,2,3,5,7,6,1]=>[4,6,5,3,1,2,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,3,6,1,7,5]=>[4,6,5,2,7,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,6,5,1,7]=>[4,6,5,2,3,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,3,6,5,7,1]=>[4,6,5,2,3,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,6,7,1,5]=>[4,6,5,2,1,7,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,2,3,6,7,5,1]=>[4,6,5,2,1,3,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,3,7,1,6,5]=>[4,6,5,1,7,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,7,5,1,6]=>[4,6,5,1,3,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,3,7,5,6,1]=>[4,6,5,1,3,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,7,6,1,5]=>[4,6,5,1,2,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,3,7,6,5,1]=>[4,6,5,1,2,3,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,1,6,3,7]=>[4,6,3,7,2,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,1,6,7,3]=>[4,6,3,7,2,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,1,7,3,6]=>[4,6,3,7,1,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,1,7,6,3]=>[4,6,3,7,1,2,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,5,3,1,6,7]=>[4,6,3,5,7,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,5,3,1,7,6]=>[4,6,3,5,7,1,2]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,5,3,6,1,7]=>[4,6,3,5,2,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,3,6,7,1]=>[4,6,3,5,2,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,3,7,1,6]=>[4,6,3,5,1,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,3,7,6,1]=>[4,6,3,5,1,2,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,5,6,1,3,7]=>[4,6,3,2,7,5,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,5,6,1,7,3]=>[4,6,3,2,7,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,6,3,1,7]=>[4,6,3,2,5,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,6,3,7,1]=>[4,6,3,2,5,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,6,7,1,3]=>[4,6,3,2,1,7,5]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,2,5,6,7,3,1]=>[4,6,3,2,1,5,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,2,5,7,1,3,6]=>[4,6,3,1,7,5,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,5,7,1,6,3]=>[4,6,3,1,7,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,7,3,1,6]=>[4,6,3,1,5,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,7,3,6,1]=>[4,6,3,1,5,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,7,6,1,3]=>[4,6,3,1,2,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,7,6,3,1]=>[4,6,3,1,2,5,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,6,1,3,7,5]=>[4,6,2,7,5,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,1,5,7,3]=>[4,6,2,7,3,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,1,7,5,3]=>[4,6,2,7,1,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,6,3,1,5,7]=>[4,6,2,5,7,3,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,6,3,1,7,5]=>[4,6,2,5,7,1,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,3,5,1,7]=>[4,6,2,5,3,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,3,5,7,1]=>[4,6,2,5,3,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,6,3,7,1,5]=>[4,6,2,5,1,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,3,7,5,1]=>[4,6,2,5,1,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,6,5,1,3,7]=>[4,6,2,3,7,5,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,6,5,1,7,3]=>[4,6,2,3,7,1,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,5,3,1,7]=>[4,6,2,3,5,7,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,6,5,3,7,1]=>[4,6,2,3,5,1,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,5,7,1,3]=>[4,6,2,3,1,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,5,7,3,1]=>[4,6,2,3,1,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,6,7,1,3,5]=>[4,6,2,1,7,5,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,6,7,1,5,3]=>[4,6,2,1,7,3,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,7,3,1,5]=>[4,6,2,1,5,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,7,3,5,1]=>[4,6,2,1,5,3,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,7,5,1,3]=>[4,6,2,1,3,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,7,5,3,1]=>[4,6,2,1,3,5,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,7,1,5,3,6]=>[4,6,1,7,3,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,7,3,1,5,6]=>[4,6,1,5,7,3,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,7,3,1,6,5]=>[4,6,1,5,7,2,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,3,5,1,6]=>[4,6,1,5,3,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,7,3,5,6,1]=>[4,6,1,5,3,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,7,3,6,1,5]=>[4,6,1,5,2,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,7,3,6,5,1]=>[4,6,1,5,2,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,7,5,1,3,6]=>[4,6,1,3,7,5,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,7,5,1,6,3]=>[4,6,1,3,7,2,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,5,3,1,6]=>[4,6,1,3,5,7,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,7,5,3,6,1]=>[4,6,1,3,5,2,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,5,6,1,3]=>[4,6,1,3,2,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,7,5,6,3,1]=>[4,6,1,3,2,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,7,6,1,5,3]=>[4,6,1,2,7,3,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,6,3,1,5]=>[4,6,1,2,5,7,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,7,6,3,5,1]=>[4,6,1,2,5,3,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,6,5,1,3]=>[4,6,1,2,3,7,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,7,6,5,3,1]=>[4,6,1,2,3,5,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,1,2,6,7,5]=>[4,5,7,6,2,1,3]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,3,1,2,7,5,6]=>[4,5,7,6,1,3,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,1,5,2,7,6]=>[4,5,7,3,6,1,2]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,1,5,6,2,7]=>[4,5,7,3,2,6,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,1,5,6,7,2]=>[4,5,7,3,2,1,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,3,1,5,7,2,6]=>[4,5,7,3,1,6,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,1,5,7,6,2]=>[4,5,7,3,1,2,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,1,6,2,7,5]=>[4,5,7,2,6,1,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,1,6,5,2,7]=>[4,5,7,2,3,6,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,1,6,5,7,2]=>[4,5,7,2,3,1,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,1,6,7,2,5]=>[4,5,7,2,1,6,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,1,6,7,5,2]=>[4,5,7,2,1,3,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,1,7,2,5,6]=>[4,5,7,1,6,3,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,1,7,5,2,6]=>[4,5,7,1,3,6,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,1,7,5,6,2]=>[4,5,7,1,3,2,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,1,7,6,5,2]=>[4,5,7,1,2,3,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,3,2,1,6,7,5]=>[4,5,6,7,2,1,3]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,3,2,1,7,5,6]=>[4,5,6,7,1,3,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,2,5,1,7,6]=>[4,5,6,3,7,1,2]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,3,2,5,7,1,6]=>[4,5,6,3,1,7,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,2,5,7,6,1]=>[4,5,6,3,1,2,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,2,6,1,7,5]=>[4,5,6,2,7,1,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,2,6,5,1,7]=>[4,5,6,2,3,7,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,2,6,5,7,1]=>[4,5,6,2,3,1,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,2,6,7,1,5]=>[4,5,6,2,1,7,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,2,6,7,5,1]=>[4,5,6,2,1,3,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,2,7,5,1,6]=>[4,5,6,1,3,7,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,2,7,5,6,1]=>[4,5,6,1,3,2,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,2,7,6,5,1]=>[4,5,6,1,2,3,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,5,1,2,7,6]=>[4,5,3,7,6,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,5,1,6,2,7]=>[4,5,3,7,2,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,1,6,7,2]=>[4,5,3,7,2,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,5,1,7,2,6]=>[4,5,3,7,1,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,1,7,6,2]=>[4,5,3,7,1,2,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,5,2,1,7,6]=>[4,5,3,6,7,1,2]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,5,2,7,1,6]=>[4,5,3,6,1,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,2,7,6,1]=>[4,5,3,6,1,2,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,5,6,1,7,2]=>[4,5,3,2,7,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,3,5,7,1,2,6]=>[4,5,3,1,7,6,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,5,7,1,6,2]=>[4,5,3,1,7,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,7,2,1,6]=>[4,5,3,1,6,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,7,2,6,1]=>[4,5,3,1,6,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,7,6,1,2]=>[4,5,3,1,2,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,7,6,2,1]=>[4,5,3,1,2,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,6,1,2,7,5]=>[4,5,2,7,6,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,1,5,2,7]=>[4,5,2,7,3,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,1,5,7,2]=>[4,5,2,7,3,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,1,7,2,5]=>[4,5,2,7,1,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,1,7,5,2]=>[4,5,2,7,1,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,6,2,1,7,5]=>[4,5,2,6,7,1,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,2,5,1,7]=>[4,5,2,6,3,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,2,5,7,1]=>[4,5,2,6,3,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,2,7,1,5]=>[4,5,2,6,1,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,2,7,5,1]=>[4,5,2,6,1,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,5,1,2,7]=>[4,5,2,3,7,6,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,6,5,1,7,2]=>[4,5,2,3,7,1,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,5,2,1,7]=>[4,5,2,3,6,7,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,6,5,2,7,1]=>[4,5,2,3,6,1,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,5,7,1,2]=>[4,5,2,3,1,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,5,7,2,1]=>[4,5,2,3,1,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,7,1,2,5]=>[4,5,2,1,7,6,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,6,7,1,5,2]=>[4,5,2,1,7,3,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,7,2,1,5]=>[4,5,2,1,6,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,3,6,7,2,5,1]=>[4,5,2,1,6,3,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,7,5,1,2]=>[4,5,2,1,3,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,3,6,7,5,2,1]=>[4,5,2,1,3,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,7,1,5,2,6]=>[4,5,1,7,3,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,1,5,6,2]=>[4,5,1,7,3,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,1,6,5,2]=>[4,5,1,7,2,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,7,2,5,1,6]=>[4,5,1,6,3,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,2,5,6,1]=>[4,5,1,6,3,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,2,6,5,1]=>[4,5,1,6,2,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,5,1,2,6]=>[4,5,1,3,7,6,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,7,5,1,6,2]=>[4,5,1,3,7,2,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,7,5,2,1,6]=>[4,5,1,3,6,7,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,7,5,2,6,1]=>[4,5,1,3,6,2,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,7,5,6,1,2]=>[4,5,1,3,2,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,5,6,2,1]=>[4,5,1,3,2,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,7,6,1,5,2]=>[4,5,1,2,7,3,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,7,6,2,5,1]=>[4,5,1,2,6,3,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,7,6,5,1,2]=>[4,5,1,2,3,7,6]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,1,2,6,3,7]=>[4,3,7,6,2,5,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,1,2,6,7,3]=>[4,3,7,6,2,1,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,1,2,7,3,6]=>[4,3,7,6,1,5,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,1,2,7,6,3]=>[4,3,7,6,1,2,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,1,3,2,6,7]=>[4,3,7,5,6,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,3,2,7,6]=>[4,3,7,5,6,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,3,6,2,7]=>[4,3,7,5,2,6,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,1,3,6,7,2]=>[4,3,7,5,2,1,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,1,3,7,2,6]=>[4,3,7,5,1,6,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,1,3,7,6,2]=>[4,3,7,5,1,2,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,1,6,2,3,7]=>[4,3,7,2,6,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,6,2,7,3]=>[4,3,7,2,6,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,6,3,2,7]=>[4,3,7,2,5,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,6,3,7,2]=>[4,3,7,2,5,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,6,7,2,3]=>[4,3,7,2,1,6,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,1,6,7,3,2]=>[4,3,7,2,1,5,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,1,7,2,3,6]=>[4,3,7,1,6,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,7,2,6,3]=>[4,3,7,1,6,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,7,3,2,6]=>[4,3,7,1,5,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,7,3,6,2]=>[4,3,7,1,5,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,7,6,2,3]=>[4,3,7,1,2,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,7,6,3,2]=>[4,3,7,1,2,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,5,2,1,3,7,6]=>[4,3,6,7,5,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,2,1,6,3,7]=>[4,3,6,7,2,5,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,2,1,6,7,3]=>[4,3,6,7,2,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,2,1,7,3,6]=>[4,3,6,7,1,5,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,2,1,7,6,3]=>[4,3,6,7,1,2,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,2,3,1,7,6]=>[4,3,6,5,7,1,2]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,2,3,7,1,6]=>[4,3,6,5,1,7,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,2,3,7,6,1]=>[4,3,6,5,1,2,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,2,6,1,3,7]=>[4,3,6,2,7,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,2,6,1,7,3]=>[4,3,6,2,7,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,6,3,1,7]=>[4,3,6,2,5,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,2,6,3,7,1]=>[4,3,6,2,5,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,6,7,1,3]=>[4,3,6,2,1,7,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,2,6,7,3,1]=>[4,3,6,2,1,5,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,2,7,1,3,6]=>[4,3,6,1,7,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,2,7,1,6,3]=>[4,3,6,1,7,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,7,3,1,6]=>[4,3,6,1,5,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,2,7,3,6,1]=>[4,3,6,1,5,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,7,6,1,3]=>[4,3,6,1,2,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,2,7,6,3,1]=>[4,3,6,1,2,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,3,1,6,2,7]=>[4,3,5,7,2,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,3,1,6,7,2]=>[4,3,5,7,2,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,3,1,7,2,6]=>[4,3,5,7,1,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,3,1,7,6,2]=>[4,3,5,7,1,2,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,5,3,2,1,7,6]=>[4,3,5,6,7,1,2]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,3,2,7,1,6]=>[4,3,5,6,1,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,3,2,7,6,1]=>[4,3,5,6,1,2,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,3,6,1,7,2]=>[4,3,5,2,7,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,7,2,1,6]=>[4,3,5,1,6,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,3,7,2,6,1]=>[4,3,5,1,6,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,7,6,1,2]=>[4,3,5,1,2,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,5,6,1,2,7,3]=>[4,3,2,7,6,1,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,6,1,3,2,7]=>[4,3,2,7,5,6,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,6,1,3,7,2]=>[4,3,2,7,5,1,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,6,1,7,2,3]=>[4,3,2,7,1,6,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,6,1,7,3,2]=>[4,3,2,7,1,5,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,6,2,1,7,3]=>[4,3,2,6,7,1,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,6,2,7,1,3]=>[4,3,2,6,1,7,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,6,2,7,3,1]=>[4,3,2,6,1,5,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,6,3,1,7,2]=>[4,3,2,5,7,1,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>[1,1,1,2,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,5,6,7,1,3,2]=>[4,3,2,1,7,5,6]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>[1,1,1,2,2]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>[1,1,1,3,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[1,1,1,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,7,1,3,2,6]=>[4,3,1,7,5,6,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,7,1,3,6,2]=>[4,3,1,7,5,2,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,7,1,6,2,3]=>[4,3,1,7,2,6,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,7,1,6,3,2]=>[4,3,1,7,2,5,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,7,2,1,3,6]=>[4,3,1,6,7,5,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,7,2,1,6,3]=>[4,3,1,6,7,2,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,7,2,3,1,6]=>[4,3,1,6,5,7,2]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,7,2,3,6,1]=>[4,3,1,6,5,2,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,7,2,6,1,3]=>[4,3,1,6,2,7,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,7,2,6,3,1]=>[4,3,1,6,2,5,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,7,3,1,2,6]=>[4,3,1,5,7,6,2]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,7,3,1,6,2]=>[4,3,1,5,7,2,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,7,3,2,1,6]=>[4,3,1,5,6,7,2]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,5,7,3,2,6,1]=>[4,3,1,5,6,2,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,7,3,6,1,2]=>[4,3,1,5,2,7,6]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,7,3,6,2,1]=>[4,3,1,5,2,6,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,7,6,1,2,3]=>[4,3,1,2,7,6,5]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,7,6,1,3,2]=>[4,3,1,2,7,5,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,7,6,2,1,3]=>[4,3,1,2,6,7,5]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,5,7,6,2,3,1]=>[4,3,1,2,6,5,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,7,6,3,1,2]=>[4,3,1,2,5,7,6]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,5,7,6,3,2,1]=>[4,3,1,2,5,6,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,6,1,2,3,7,5]=>[4,2,7,6,5,1,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,1,2,5,3,7]=>[4,2,7,6,3,5,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,1,2,5,7,3]=>[4,2,7,6,3,1,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,1,2,7,3,5]=>[4,2,7,6,1,5,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,1,2,7,5,3]=>[4,2,7,6,1,3,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,1,3,2,7,5]=>[4,2,7,5,6,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,3,5,2,7]=>[4,2,7,5,3,6,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,1,3,5,7,2]=>[4,2,7,5,3,1,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,1,3,7,2,5]=>[4,2,7,5,1,6,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,1,3,7,5,2]=>[4,2,7,5,1,3,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,5,2,3,7]=>[4,2,7,3,6,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,1,5,2,7,3]=>[4,2,7,3,6,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,5,3,2,7]=>[4,2,7,3,5,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,5,3,7,2]=>[4,2,7,3,5,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,5,7,2,3]=>[4,2,7,3,1,6,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,1,5,7,3,2]=>[4,2,7,3,1,5,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,7,2,3,5]=>[4,2,7,1,6,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,1,7,2,5,3]=>[4,2,7,1,6,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,7,3,2,5]=>[4,2,7,1,5,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,7,3,5,2]=>[4,2,7,1,5,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,7,5,2,3]=>[4,2,7,1,3,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,7,5,3,2]=>[4,2,7,1,3,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,2,1,3,5,7]=>[4,2,6,7,5,3,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,6,2,1,3,7,5]=>[4,2,6,7,5,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,2,1,5,3,7]=>[4,2,6,7,3,5,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,2,1,5,7,3]=>[4,2,6,7,3,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,2,1,7,3,5]=>[4,2,6,7,1,5,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,2,1,7,5,3]=>[4,2,6,7,1,3,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,2,3,1,5,7]=>[4,2,6,5,7,3,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,3,5,1,7]=>[4,2,6,5,3,7,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,2,3,7,1,5]=>[4,2,6,5,1,7,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,2,3,7,5,1]=>[4,2,6,5,1,3,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,2,5,1,3,7]=>[4,2,6,3,7,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,5,1,7,3]=>[4,2,6,3,7,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,5,3,1,7]=>[4,2,6,3,5,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,5,7,1,3]=>[4,2,6,3,1,7,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,2,5,7,3,1]=>[4,2,6,3,1,5,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,7,3,1,5]=>[4,2,6,1,5,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,7,3,5,1]=>[4,2,6,1,5,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,7,5,1,3]=>[4,2,6,1,3,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,6,3,1,2,7,5]=>[4,2,5,7,6,1,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,3,1,5,7,2]=>[4,2,5,7,3,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,3,1,7,5,2]=>[4,2,5,7,1,3,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,6,3,2,1,7,5]=>[4,2,5,6,7,1,3]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,3,2,5,1,7]=>[4,2,5,6,3,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,3,2,5,7,1]=>[4,2,5,6,3,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,3,2,7,1,5]=>[4,2,5,6,1,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,3,2,7,5,1]=>[4,2,5,6,1,3,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,3,5,1,2,7]=>[4,2,5,3,7,6,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,3,5,1,7,2]=>[4,2,5,3,7,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,5,2,1,7]=>[4,2,5,3,6,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,3,5,2,7,1]=>[4,2,5,3,6,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,5,7,1,2]=>[4,2,5,3,1,7,6]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,3,5,7,2,1]=>[4,2,5,3,1,6,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,3,7,1,2,5]=>[4,2,5,1,7,6,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,3,7,1,5,2]=>[4,2,5,1,7,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,7,2,1,5]=>[4,2,5,1,6,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,3,7,2,5,1]=>[4,2,5,1,6,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,7,5,1,2]=>[4,2,5,1,3,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,3,7,5,2,1]=>[4,2,5,1,3,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,5,1,2,3,7]=>[4,2,3,7,6,5,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,6,5,1,2,7,3]=>[4,2,3,7,6,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,1,3,7,2]=>[4,2,3,7,5,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,5,1,7,2,3]=>[4,2,3,7,1,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,1,7,3,2]=>[4,2,3,7,1,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,5,2,1,3,7]=>[4,2,3,6,7,5,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,6,5,2,1,7,3]=>[4,2,3,6,7,1,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,5,2,3,1,7]=>[4,2,3,6,5,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,2,3,7,1]=>[4,2,3,6,5,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,5,2,7,1,3]=>[4,2,3,6,1,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,2,7,3,1]=>[4,2,3,6,1,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,5,3,1,2,7]=>[4,2,3,5,7,6,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,6,5,3,1,7,2]=>[4,2,3,5,7,1,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,5,3,2,1,7]=>[4,2,3,5,6,7,1]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,5,3,7,1,2]=>[4,2,3,5,1,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,3,7,2,1]=>[4,2,3,5,1,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,5,7,1,2,3]=>[4,2,3,1,7,6,5]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,5,7,1,3,2]=>[4,2,3,1,7,5,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,7,2,1,3]=>[4,2,3,1,6,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,5,7,2,3,1]=>[4,2,3,1,6,5,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,7,3,1,2]=>[4,2,3,1,5,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,5,7,3,2,1]=>[4,2,3,1,5,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,6,7,1,2,5,3]=>[4,2,1,7,6,3,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,6,7,1,3,2,5]=>[4,2,1,7,5,6,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,1,3,5,2]=>[4,2,1,7,5,3,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,1,5,3,2]=>[4,2,1,7,3,5,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,6,7,2,1,3,5]=>[4,2,1,6,7,5,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,6,7,2,1,5,3]=>[4,2,1,6,7,3,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,7,2,3,1,5]=>[4,2,1,6,5,7,3]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,2,3,5,1]=>[4,2,1,6,5,3,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,6,7,2,5,1,3]=>[4,2,1,6,3,7,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,2,5,3,1]=>[4,2,1,6,3,5,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,6,7,3,1,2,5]=>[4,2,1,5,7,6,3]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,6,7,3,1,5,2]=>[4,2,1,5,7,3,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,7,3,2,1,5]=>[4,2,1,5,6,7,3]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,6,7,3,2,5,1]=>[4,2,1,5,6,3,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,7,3,5,1,2]=>[4,2,1,5,3,7,6]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,3,5,2,1]=>[4,2,1,5,3,6,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,6,7,5,1,2,3]=>[4,2,1,3,7,6,5]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,6,7,5,1,3,2]=>[4,2,1,3,7,5,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,7,5,2,1,3]=>[4,2,1,3,6,7,5]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,6,7,5,2,3,1]=>[4,2,1,3,6,5,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,7,5,3,1,2]=>[4,2,1,3,5,7,6]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,6,7,5,3,2,1]=>[4,2,1,3,5,6,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,2,5,6,3]=>[4,1,7,6,3,2,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,2,6,5,3]=>[4,1,7,6,2,3,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,1,3,2,5,6]=>[4,1,7,5,6,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,3,5,2,6]=>[4,1,7,5,3,6,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,3,6,5,2]=>[4,1,7,5,2,3,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,1,5,2,3,6]=>[4,1,7,3,6,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,5,2,6,3]=>[4,1,7,3,6,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,5,3,2,6]=>[4,1,7,3,5,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,5,6,2,3]=>[4,1,7,3,2,6,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,5,6,3,2]=>[4,1,7,3,2,5,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,1,6,3,5,2]=>[4,1,7,2,5,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,6,5,2,3]=>[4,1,7,2,3,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,2,1,3,5,6]=>[4,1,6,7,5,3,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,2,1,5,3,6]=>[4,1,6,7,3,5,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,2,1,5,6,3]=>[4,1,6,7,3,2,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,2,1,6,5,3]=>[4,1,6,7,2,3,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,2,3,1,5,6]=>[4,1,6,5,7,3,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,3,1,6,5]=>[4,1,6,5,7,2,3]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,3,5,1,6]=>[4,1,6,5,3,7,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,2,3,5,6,1]=>[4,1,6,5,3,2,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,2,3,6,1,5]=>[4,1,6,5,2,7,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,2,3,6,5,1]=>[4,1,6,5,2,3,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,2,5,1,3,6]=>[4,1,6,3,7,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,5,1,6,3]=>[4,1,6,3,7,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,5,3,1,6]=>[4,1,6,3,5,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,2,5,3,6,1]=>[4,1,6,3,5,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,5,6,1,3]=>[4,1,6,3,2,7,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,2,5,6,3,1]=>[4,1,6,3,2,5,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,6,1,5,3]=>[4,1,6,2,7,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,6,3,1,5]=>[4,1,6,2,5,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,2,6,3,5,1]=>[4,1,6,2,5,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,6,5,1,3]=>[4,1,6,2,3,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,2,6,5,3,1]=>[4,1,6,2,3,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,3,1,2,5,6]=>[4,1,5,7,6,3,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,3,1,5,2,6]=>[4,1,5,7,3,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,3,2,5,1,6]=>[4,1,5,6,3,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,3,2,5,6,1]=>[4,1,5,6,3,2,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,3,2,6,5,1]=>[4,1,5,6,2,3,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,3,5,1,2,6]=>[4,1,5,3,7,6,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,5,1,6,2]=>[4,1,5,3,7,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,5,2,1,6]=>[4,1,5,3,6,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,5,2,6,1]=>[4,1,5,3,6,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,5,6,1,2]=>[4,1,5,3,2,7,6]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,3,5,6,2,1]=>[4,1,5,3,2,6,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,6,1,5,2]=>[4,1,5,2,7,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,6,5,2,1]=>[4,1,5,2,3,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,5,1,2,3,6]=>[4,1,3,7,6,5,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,7,5,1,2,6,3]=>[4,1,3,7,6,2,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,5,1,3,2,6]=>[4,1,3,7,5,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,5,1,6,2,3]=>[4,1,3,7,2,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,5,1,6,3,2]=>[4,1,3,7,2,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,5,2,1,3,6]=>[4,1,3,6,7,5,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,7,5,2,1,6,3]=>[4,1,3,6,7,2,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,5,2,3,1,6]=>[4,1,3,6,5,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,5,2,3,6,1]=>[4,1,3,6,5,2,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,5,2,6,1,3]=>[4,1,3,6,2,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,5,2,6,3,1]=>[4,1,3,6,2,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,5,3,2,1,6]=>[4,1,3,5,6,7,2]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,7,5,3,2,6,1]=>[4,1,3,5,6,2,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,5,3,6,1,2]=>[4,1,3,5,2,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,5,3,6,2,1]=>[4,1,3,5,2,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,5,6,1,2,3]=>[4,1,3,2,7,6,5]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,5,6,1,3,2]=>[4,1,3,2,7,5,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,6,2,1,3]=>[4,1,3,2,6,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,6,2,3,1]=>[4,1,3,2,6,5,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,6,3,1,2]=>[4,1,3,2,5,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,6,3,2,1]=>[4,1,3,2,5,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,7,6,1,2,5,3]=>[4,1,2,7,6,3,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,1,3,5,2]=>[4,1,2,7,5,3,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,6,1,5,2,3]=>[4,1,2,7,3,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,6,2,3,1,5]=>[4,1,2,6,5,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,2,3,5,1]=>[4,1,2,6,5,3,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,2,5,3,1]=>[4,1,2,6,3,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,7,6,3,1,5,2]=>[4,1,2,5,7,3,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,7,6,3,2,5,1]=>[4,1,2,5,6,3,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,6,3,5,1,2]=>[4,1,2,5,3,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,3,5,2,1]=>[4,1,2,5,3,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,6,5,1,2,3]=>[4,1,2,3,7,6,5]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,7,6,5,1,3,2]=>[4,1,2,3,7,5,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,6,5,2,1,3]=>[4,1,2,3,6,7,5]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,7,6,5,2,3,1]=>[4,1,2,3,6,5,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,6,5,3,1,2]=>[4,1,2,3,5,7,6]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]=>[1,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[2,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,3,6,7,4]=>[3,7,6,5,2,1,4]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,4,6,3,7]=>[3,7,6,4,2,5,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,4,7,6,3]=>[3,7,6,4,1,2,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,6,4,7,3]=>[3,7,6,2,4,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,6,7,3,4]=>[3,7,6,2,1,5,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,6,7,4,3]=>[3,7,6,2,1,4,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,7,4,6,3]=>[3,7,6,1,4,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,3,2,6,4,7]=>[3,7,5,6,2,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,2,6,7,4]=>[3,7,5,6,2,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,2,7,6,4]=>[3,7,5,6,1,2,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,3,4,2,6,7]=>[3,7,5,4,6,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,4,2,7,6]=>[3,7,5,4,6,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,4,6,2,7]=>[3,7,5,4,2,6,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,3,4,6,7,2]=>[3,7,5,4,2,1,6]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,1,3,4,7,2,6]=>[3,7,5,4,1,6,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,3,4,7,6,2]=>[3,7,5,4,1,2,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,3,6,2,4,7]=>[3,7,5,2,6,4,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,6,2,7,4]=>[3,7,5,2,6,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,6,4,2,7]=>[3,7,5,2,4,6,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,6,4,7,2]=>[3,7,5,2,4,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,6,7,2,4]=>[3,7,5,2,1,6,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,3,6,7,4,2]=>[3,7,5,2,1,4,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,7,2,6,4]=>[3,7,5,1,6,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,7,4,2,6]=>[3,7,5,1,4,6,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,7,4,6,2]=>[3,7,5,1,4,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,7,6,4,2]=>[3,7,5,1,2,4,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,2,6,7,3]=>[3,7,4,6,2,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,2,7,6,3]=>[3,7,4,6,1,2,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,4,3,6,2,7]=>[3,7,4,5,2,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,3,6,7,2]=>[3,7,4,5,2,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,3,7,6,2]=>[3,7,4,5,1,2,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,4,6,2,3,7]=>[3,7,4,2,6,5,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,4,6,2,7,3]=>[3,7,4,2,6,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,6,3,2,7]=>[3,7,4,2,5,6,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,4,6,3,7,2]=>[3,7,4,2,5,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,6,7,2,3]=>[3,7,4,2,1,6,5]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,4,6,7,3,2]=>[3,7,4,2,1,5,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,4,7,2,6,3]=>[3,7,4,1,6,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,4,7,3,6,2]=>[3,7,4,1,5,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,7,6,2,3]=>[3,7,4,1,2,6,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,4,7,6,3,2]=>[3,7,4,1,2,5,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,2,4,7,3]=>[3,7,2,6,4,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,3,2,7,4]=>[3,7,2,5,6,1,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,3,4,2,7]=>[3,7,2,5,4,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,3,4,7,2]=>[3,7,2,5,4,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,6,3,7,2,4]=>[3,7,2,5,1,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,3,7,4,2]=>[3,7,2,5,1,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,6,4,3,7,2]=>[3,7,2,4,5,1,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,4,7,2,3]=>[3,7,2,4,1,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,4,7,3,2]=>[3,7,2,4,1,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,6,7,2,3,4]=>[3,7,2,1,6,5,4]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,6,7,2,4,3]=>[3,7,2,1,6,4,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,7,3,2,4]=>[3,7,2,1,5,6,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,7,3,4,2]=>[3,7,2,1,5,4,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,7,4,2,3]=>[3,7,2,1,4,6,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,7,4,3,2]=>[3,7,2,1,4,5,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,7,2,3,6,4]=>[3,7,1,6,5,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,2,4,6,3]=>[3,7,1,6,4,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,7,2,6,3,4]=>[3,7,1,6,2,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,2,6,4,3]=>[3,7,1,6,2,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,7,3,2,6,4]=>[3,7,1,5,6,2,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,3,4,2,6]=>[3,7,1,5,4,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,3,4,6,2]=>[3,7,1,5,4,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,7,3,6,2,4]=>[3,7,1,5,2,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,3,6,4,2]=>[3,7,1,5,2,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,7,4,2,6,3]=>[3,7,1,4,6,2,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,7,4,3,6,2]=>[3,7,1,4,5,2,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,4,6,2,3]=>[3,7,1,4,2,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,4,6,3,2]=>[3,7,1,4,2,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,7,6,2,3,4]=>[3,7,1,2,6,5,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,7,6,2,4,3]=>[3,7,1,2,6,4,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,6,3,2,4]=>[3,7,1,2,5,6,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,7,6,3,4,2]=>[3,7,1,2,5,4,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,6,4,2,3]=>[3,7,1,2,4,6,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,7,6,4,3,2]=>[3,7,1,2,4,5,6]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,2,1,3,6,4,7]=>[3,6,7,5,2,4,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,1,3,6,7,4]=>[3,6,7,5,2,1,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,1,3,7,6,4]=>[3,6,7,5,1,2,4]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,1,4,6,3,7]=>[3,6,7,4,2,5,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,1,4,6,7,3]=>[3,6,7,4,2,1,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,1,6,3,4,7]=>[3,6,7,2,5,4,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,1,6,3,7,4]=>[3,6,7,2,5,1,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,1,6,4,3,7]=>[3,6,7,2,4,5,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,1,6,4,7,3]=>[3,6,7,2,4,1,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,1,6,7,3,4]=>[3,6,7,2,1,5,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,1,6,7,4,3]=>[3,6,7,2,1,4,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,1,7,3,6,4]=>[3,6,7,1,5,2,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,1,7,4,6,3]=>[3,6,7,1,4,2,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,1,7,6,3,4]=>[3,6,7,1,2,5,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,1,7,6,4,3]=>[3,6,7,1,2,4,5]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,3,1,4,7,6]=>[3,6,5,7,4,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,3,1,6,4,7]=>[3,6,5,7,2,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,3,1,6,7,4]=>[3,6,5,7,2,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,3,1,7,4,6]=>[3,6,5,7,1,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,3,1,7,6,4]=>[3,6,5,7,1,2,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,2,3,4,7,1,6]=>[3,6,5,4,1,7,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,4,7,6,1]=>[3,6,5,4,1,2,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,6,1,7,4]=>[3,6,5,2,7,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,6,4,1,7]=>[3,6,5,2,4,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,3,6,4,7,1]=>[3,6,5,2,4,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,6,7,1,4]=>[3,6,5,2,1,7,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,6,7,4,1]=>[3,6,5,2,1,4,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,3,7,1,4,6]=>[3,6,5,1,7,4,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,7,4,1,6]=>[3,6,5,1,4,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,3,7,4,6,1]=>[3,6,5,1,4,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,7,6,1,4]=>[3,6,5,1,2,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,3,7,6,4,1]=>[3,6,5,1,2,4,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,4,1,6,3,7]=>[3,6,4,7,2,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,4,1,6,7,3]=>[3,6,4,7,2,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,4,1,7,6,3]=>[3,6,4,7,1,2,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,4,3,6,1,7]=>[3,6,4,5,2,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,4,3,6,7,1]=>[3,6,4,5,2,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,4,3,7,1,6]=>[3,6,4,5,1,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,4,3,7,6,1]=>[3,6,4,5,1,2,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,4,6,1,3,7]=>[3,6,4,2,7,5,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,4,6,1,7,3]=>[3,6,4,2,7,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,6,3,1,7]=>[3,6,4,2,5,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,4,6,3,7,1]=>[3,6,4,2,5,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,6,7,1,3]=>[3,6,4,2,1,7,5]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,4,6,7,3,1]=>[3,6,4,2,1,5,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,4,7,1,6,3]=>[3,6,4,1,7,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,7,3,1,6]=>[3,6,4,1,5,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,4,7,3,6,1]=>[3,6,4,1,5,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,7,6,1,3]=>[3,6,4,1,2,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,4,7,6,3,1]=>[3,6,4,1,2,5,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,2,6,1,3,4,7]=>[3,6,2,7,5,4,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,6,1,3,7,4]=>[3,6,2,7,5,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,6,1,4,3,7]=>[3,6,2,7,4,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,1,4,7,3]=>[3,6,2,7,4,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,6,1,7,3,4]=>[3,6,2,7,1,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,1,7,4,3]=>[3,6,2,7,1,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,3,1,4,7]=>[3,6,2,5,7,4,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,6,3,1,7,4]=>[3,6,2,5,7,1,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,6,3,4,1,7]=>[3,6,2,5,4,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,3,4,7,1]=>[3,6,2,5,4,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,6,3,7,1,4]=>[3,6,2,5,1,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,3,7,4,1]=>[3,6,2,5,1,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,6,4,1,7,3]=>[3,6,2,4,7,1,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,6,4,3,1,7]=>[3,6,2,4,5,7,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,6,4,3,7,1]=>[3,6,2,4,5,1,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,6,4,7,1,3]=>[3,6,2,4,1,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,4,7,3,1]=>[3,6,2,4,1,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,6,7,1,4,3]=>[3,6,2,1,7,4,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,7,3,1,4]=>[3,6,2,1,5,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,6,7,3,4,1]=>[3,6,2,1,5,4,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,7,4,1,3]=>[3,6,2,1,4,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,6,7,4,3,1]=>[3,6,2,1,4,5,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,7,1,3,6,4]=>[3,6,1,7,5,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,1,4,6,3]=>[3,6,1,7,4,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,7,1,6,3,4]=>[3,6,1,7,2,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,1,6,4,3]=>[3,6,1,7,2,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,7,3,1,4,6]=>[3,6,1,5,7,4,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,7,3,1,6,4]=>[3,6,1,5,7,2,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,7,3,4,1,6]=>[3,6,1,5,4,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,3,4,6,1]=>[3,6,1,5,4,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,7,3,6,1,4]=>[3,6,1,5,2,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,3,6,4,1]=>[3,6,1,5,2,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,7,4,3,1,6]=>[3,6,1,4,5,7,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,7,4,3,6,1]=>[3,6,1,4,5,2,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,7,4,6,1,3]=>[3,6,1,4,2,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,4,6,3,1]=>[3,6,1,4,2,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,7,6,1,3,4]=>[3,6,1,2,7,5,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,7,6,3,1,4]=>[3,6,1,2,5,7,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,7,6,3,4,1]=>[3,6,1,2,5,4,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,7,6,4,1,3]=>[3,6,1,2,4,7,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,1,2,6,7,4]=>[3,5,7,6,2,1,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,1,2,7,6,4]=>[3,5,7,6,1,2,4]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,1,4,2,7,6]=>[3,5,7,4,6,1,2]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,1,4,6,2,7]=>[3,5,7,4,2,6,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,1,4,6,7,2]=>[3,5,7,4,2,1,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,3,1,4,7,2,6]=>[3,5,7,4,1,6,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,1,4,7,6,2]=>[3,5,7,4,1,2,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,3,1,6,2,4,7]=>[3,5,7,2,6,4,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,1,6,2,7,4]=>[3,5,7,2,6,1,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,1,6,4,2,7]=>[3,5,7,2,4,6,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,1,6,4,7,2]=>[3,5,7,2,4,1,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,1,6,7,2,4]=>[3,5,7,2,1,6,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,1,6,7,4,2]=>[3,5,7,2,1,4,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,1,7,2,6,4]=>[3,5,7,1,6,2,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,1,7,4,2,6]=>[3,5,7,1,4,6,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,1,7,4,6,2]=>[3,5,7,1,4,2,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,1,7,6,2,4]=>[3,5,7,1,2,6,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,1,7,6,4,2]=>[3,5,7,1,2,4,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,3,2,1,6,4,7]=>[3,5,6,7,2,4,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,3,2,1,6,7,4]=>[3,5,6,7,2,1,4]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,3,2,1,7,6,4]=>[3,5,6,7,1,2,4]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,3,2,4,7,1,6]=>[3,5,6,4,1,7,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,2,4,7,6,1]=>[3,5,6,4,1,2,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,2,6,1,7,4]=>[3,5,6,2,7,1,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,2,6,4,1,7]=>[3,5,6,2,4,7,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,2,6,4,7,1]=>[3,5,6,2,4,1,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,2,6,7,1,4]=>[3,5,6,2,1,7,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,2,6,7,4,1]=>[3,5,6,2,1,4,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,2,7,4,1,6]=>[3,5,6,1,4,7,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,2,7,4,6,1]=>[3,5,6,1,4,2,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,2,7,6,1,4]=>[3,5,6,1,2,7,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,2,7,6,4,1]=>[3,5,6,1,2,4,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,4,1,2,7,6]=>[3,5,4,7,6,1,2]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,4,1,6,2,7]=>[3,5,4,7,2,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,1,6,7,2]=>[3,5,4,7,2,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,4,1,7,2,6]=>[3,5,4,7,1,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,1,7,6,2]=>[3,5,4,7,1,2,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,4,2,1,7,6]=>[3,5,4,6,7,1,2]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,4,2,7,1,6]=>[3,5,4,6,1,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,2,7,6,1]=>[3,5,4,6,1,2,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,6,1,7,2]=>[3,5,4,2,7,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,7,2,1,6]=>[3,5,4,1,6,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,4,7,2,6,1]=>[3,5,4,1,6,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,7,6,1,2]=>[3,5,4,1,2,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,3,6,1,2,4,7]=>[3,5,2,7,6,4,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,6,1,2,7,4]=>[3,5,2,7,6,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,6,1,4,2,7]=>[3,5,2,7,4,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,1,4,7,2]=>[3,5,2,7,4,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,6,1,7,2,4]=>[3,5,2,7,1,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,1,7,4,2]=>[3,5,2,7,1,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,2,1,4,7]=>[3,5,2,6,7,4,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,6,2,1,7,4]=>[3,5,2,6,7,1,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,6,2,4,1,7]=>[3,5,2,6,4,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,4,1,2,7]=>[3,5,2,4,7,6,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,6,4,1,7,2]=>[3,5,2,4,7,1,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,6,4,2,1,7]=>[3,5,2,4,6,7,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,6,4,7,1,2]=>[3,5,2,4,1,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,4,7,2,1]=>[3,5,2,4,1,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,7,1,2,4]=>[3,5,2,1,7,6,4]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,6,7,1,4,2]=>[3,5,2,1,7,4,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,7,2,1,4]=>[3,5,2,1,6,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,6,7,2,4,1]=>[3,5,2,1,6,4,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,7,4,1,2]=>[3,5,2,1,4,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,6,7,4,2,1]=>[3,5,2,1,4,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,7,1,2,6,4]=>[3,5,1,7,6,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,7,1,4,2,6]=>[3,5,1,7,4,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,7,2,1,6,4]=>[3,5,1,6,7,2,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,7,2,4,1,6]=>[3,5,1,6,4,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,2,4,6,1]=>[3,5,1,6,4,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,2,6,4,1]=>[3,5,1,6,2,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,7,4,2,1,6]=>[3,5,1,4,6,7,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,7,4,2,6,1]=>[3,5,1,4,6,2,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,7,4,6,1,2]=>[3,5,1,4,2,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,4,6,2,1]=>[3,5,1,4,2,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,7,6,1,2,4]=>[3,5,1,2,7,6,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,7,6,1,4,2]=>[3,5,1,2,7,4,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,7,6,2,4,1]=>[3,5,1,2,6,4,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,7,6,4,1,2]=>[3,5,1,2,4,7,6]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,1,2,6,7,3]=>[3,4,7,6,2,1,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,1,3,6,2,7]=>[3,4,7,5,2,6,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,1,3,6,7,2]=>[3,4,7,5,2,1,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,1,3,7,6,2]=>[3,4,7,5,1,2,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,1,6,3,7,2]=>[3,4,7,2,5,1,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,1,6,7,2,3]=>[3,4,7,2,1,6,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,1,6,7,3,2]=>[3,4,7,2,1,5,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,1,7,2,6,3]=>[3,4,7,1,6,2,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,1,7,3,6,2]=>[3,4,7,1,5,2,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,1,7,6,2,3]=>[3,4,7,1,2,6,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,1,7,6,3,2]=>[3,4,7,1,2,5,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,4,2,1,6,3,7]=>[3,4,6,7,2,5,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,4,2,1,6,7,3]=>[3,4,6,7,2,1,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,4,2,1,7,6,3]=>[3,4,6,7,1,2,5]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,2,3,1,7,6]=>[3,4,6,5,7,1,2]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,4,2,3,7,1,6]=>[3,4,6,5,1,7,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,2,3,7,6,1]=>[3,4,6,5,1,2,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,2,6,1,3,7]=>[3,4,6,2,7,5,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,2,6,1,7,3]=>[3,4,6,2,7,1,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,2,6,3,1,7]=>[3,4,6,2,5,7,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,2,6,3,7,1]=>[3,4,6,2,5,1,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,2,6,7,1,3]=>[3,4,6,2,1,7,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,2,6,7,3,1]=>[3,4,6,2,1,5,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,2,7,1,6,3]=>[3,4,6,1,7,2,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,2,7,3,1,6]=>[3,4,6,1,5,7,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,2,7,3,6,1]=>[3,4,6,1,5,2,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,2,7,6,1,3]=>[3,4,6,1,2,7,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,2,7,6,3,1]=>[3,4,6,1,2,5,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,4,3,1,6,7,2]=>[3,4,5,7,2,1,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,4,3,1,7,6,2]=>[3,4,5,7,1,2,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,4,3,2,7,6,1]=>[3,4,5,6,1,2,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,3,6,1,7,2]=>[3,4,5,2,7,1,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,4,6,1,2,7,3]=>[3,4,2,7,6,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,6,1,3,2,7]=>[3,4,2,7,5,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,1,3,7,2]=>[3,4,2,7,5,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,6,1,7,2,3]=>[3,4,2,7,1,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,1,7,3,2]=>[3,4,2,7,1,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,6,2,1,7,3]=>[3,4,2,6,7,1,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,6,2,7,1,3]=>[3,4,2,6,1,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,2,7,3,1]=>[3,4,2,6,1,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,6,3,1,7,2]=>[3,4,2,5,7,1,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,4,6,7,1,3,2]=>[3,4,2,1,7,5,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,4,7,1,2,6,3]=>[3,4,1,7,6,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,1,3,6,2]=>[3,4,1,7,5,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,7,1,6,2,3]=>[3,4,1,7,2,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,1,6,3,2]=>[3,4,1,7,2,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,2,3,1,6]=>[3,4,1,6,5,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,2,3,6,1]=>[3,4,1,6,5,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,2,6,3,1]=>[3,4,1,6,2,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,7,3,1,6,2]=>[3,4,1,5,7,2,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,7,6,1,2,3]=>[3,4,1,2,7,6,5]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,7,6,1,3,2]=>[3,4,1,2,7,5,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,7,6,3,2,1]=>[3,4,1,2,5,6,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [5,6,1,2,3,7,4]=>[3,2,7,6,5,1,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,2,4,3,7]=>[3,2,7,6,4,5,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,1,2,4,7,3]=>[3,2,7,6,4,1,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,2,7,3,4]=>[3,2,7,6,1,5,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,1,2,7,4,3]=>[3,2,7,6,1,4,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,3,2,4,7]=>[3,2,7,5,6,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,1,3,2,7,4]=>[3,2,7,5,6,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,3,4,2,7]=>[3,2,7,5,4,6,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,1,3,4,7,2]=>[3,2,7,5,4,1,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,3,7,2,4]=>[3,2,7,5,1,6,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,1,3,7,4,2]=>[3,2,7,5,1,4,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,4,2,3,7]=>[3,2,7,4,6,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,1,4,2,7,3]=>[3,2,7,4,6,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,4,3,2,7]=>[3,2,7,4,5,6,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,1,4,3,7,2]=>[3,2,7,4,5,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,1,4,7,3,2]=>[3,2,7,4,1,5,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,7,2,3,4]=>[3,2,7,1,6,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,1,7,2,4,3]=>[3,2,7,1,6,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,7,3,2,4]=>[3,2,7,1,5,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,1,7,3,4,2]=>[3,2,7,1,5,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,7,4,2,3]=>[3,2,7,1,4,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,1,7,4,3,2]=>[3,2,7,1,4,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,2,1,3,4,7]=>[3,2,6,7,5,4,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,6,2,1,3,7,4]=>[3,2,6,7,5,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,2,1,4,3,7]=>[3,2,6,7,4,5,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,2,1,4,7,3]=>[3,2,6,7,4,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,2,1,7,3,4]=>[3,2,6,7,1,5,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,2,1,7,4,3]=>[3,2,6,7,1,4,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,2,3,1,4,7]=>[3,2,6,5,7,4,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,3,1,7,4]=>[3,2,6,5,7,1,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,2,3,7,1,4]=>[3,2,6,5,1,7,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,3,7,4,1]=>[3,2,6,5,1,4,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,2,4,1,3,7]=>[3,2,6,4,7,5,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,4,1,7,3]=>[3,2,6,4,7,1,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,4,3,1,7]=>[3,2,6,4,5,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,2,4,3,7,1]=>[3,2,6,4,5,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,4,7,1,3]=>[3,2,6,4,1,7,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,4,7,3,1]=>[3,2,6,4,1,5,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,2,7,1,3,4]=>[3,2,6,1,7,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,7,1,4,3]=>[3,2,6,1,7,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,7,3,1,4]=>[3,2,6,1,5,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,2,7,3,4,1]=>[3,2,6,1,5,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,7,4,1,3]=>[3,2,6,1,4,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,2,7,4,3,1]=>[3,2,6,1,4,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,6,3,1,2,7,4]=>[3,2,5,7,6,1,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,3,1,4,2,7]=>[3,2,5,7,4,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,3,1,4,7,2]=>[3,2,5,7,4,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,3,1,7,2,4]=>[3,2,5,7,1,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,3,1,7,4,2]=>[3,2,5,7,1,4,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,3,2,1,7,4]=>[3,2,5,6,7,1,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,3,2,7,1,4]=>[3,2,5,6,1,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,3,2,7,4,1]=>[3,2,5,6,1,4,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,3,4,1,7,2]=>[3,2,5,4,7,1,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,3,7,1,4,2]=>[3,2,5,1,7,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,7,2,1,4]=>[3,2,5,1,6,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,7,2,4,1]=>[3,2,5,1,6,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,7,4,1,2]=>[3,2,5,1,4,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,7,4,2,1]=>[3,2,5,1,4,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,6,4,1,2,7,3]=>[3,2,4,7,6,1,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,4,1,3,2,7]=>[3,2,4,7,5,6,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,4,1,3,7,2]=>[3,2,4,7,5,1,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,4,1,7,2,3]=>[3,2,4,7,1,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,4,1,7,3,2]=>[3,2,4,7,1,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,4,2,1,7,3]=>[3,2,4,6,7,1,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,4,2,7,1,3]=>[3,2,4,6,1,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,4,2,7,3,1]=>[3,2,4,6,1,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,4,3,1,7,2]=>[3,2,4,5,7,1,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,4,7,1,3,2]=>[3,2,4,1,7,5,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[1,1,2,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [5,6,7,1,2,4,3]=>[3,2,1,7,6,4,5]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,6,7,1,3,2,4]=>[3,2,1,7,5,6,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,7,1,3,4,2]=>[3,2,1,7,5,4,6]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,6,7,1,4,2,3]=>[3,2,1,7,4,6,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,7,1,4,3,2]=>[3,2,1,7,4,5,6]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,7,2,1,4,3]=>[3,2,1,6,7,4,5]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>[1,1,2,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,6,7,2,4,1,3]=>[3,2,1,6,4,7,5]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,7,2,4,3,1]=>[3,2,1,6,4,5,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,7,3,1,4,2]=>[3,2,1,5,7,4,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>[1,1,2,2,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>[1,1,2,3]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[1,1,3,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,7,4,1,3,2]=>[3,2,1,4,7,5,6]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>[1,1,3,2]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>[1,1,4,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>[1,1,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [5,7,1,2,3,6,4]=>[3,1,7,6,5,2,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,2,4,6,3]=>[3,1,7,6,4,2,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,1,2,6,3,4]=>[3,1,7,6,2,5,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,2,6,4,3]=>[3,1,7,6,2,4,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,1,3,2,6,4]=>[3,1,7,5,6,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,3,4,2,6]=>[3,1,7,5,4,6,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,3,4,6,2]=>[3,1,7,5,4,2,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,1,3,6,2,4]=>[3,1,7,5,2,6,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,3,6,4,2]=>[3,1,7,5,2,4,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,1,4,2,6,3]=>[3,1,7,4,6,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,4,3,6,2]=>[3,1,7,4,5,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,4,6,2,3]=>[3,1,7,4,2,6,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,4,6,3,2]=>[3,1,7,4,2,5,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,1,6,2,3,4]=>[3,1,7,2,6,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,1,6,2,4,3]=>[3,1,7,2,6,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,6,3,2,4]=>[3,1,7,2,5,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,6,3,4,2]=>[3,1,7,2,5,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,6,4,2,3]=>[3,1,7,2,4,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,2,1,3,6,4]=>[3,1,6,7,5,2,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,2,1,4,6,3]=>[3,1,6,7,4,2,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,2,1,6,3,4]=>[3,1,6,7,2,5,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,2,3,1,4,6]=>[3,1,6,5,7,4,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,3,1,6,4]=>[3,1,6,5,7,2,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,3,4,1,6]=>[3,1,6,5,4,7,2]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,3,4,6,1]=>[3,1,6,5,4,2,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,2,3,6,1,4]=>[3,1,6,5,2,7,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,3,6,4,1]=>[3,1,6,5,2,4,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,4,1,6,3]=>[3,1,6,4,7,2,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,4,3,1,6]=>[3,1,6,4,5,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,2,4,3,6,1]=>[3,1,6,4,5,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,4,6,3,1]=>[3,1,6,4,2,5,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,6,3,1,4]=>[3,1,6,2,5,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,2,6,3,4,1]=>[3,1,6,2,5,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,3,1,2,6,4]=>[3,1,5,7,6,2,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,3,1,4,2,6]=>[3,1,5,7,4,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,3,1,4,6,2]=>[3,1,5,7,4,2,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,3,1,6,2,4]=>[3,1,5,7,2,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,3,2,4,1,6]=>[3,1,5,6,4,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,3,2,4,6,1]=>[3,1,5,6,4,2,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,4,2,1,6]=>[3,1,5,4,6,7,2]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,4,6,1,2]=>[3,1,5,4,2,7,6]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,3,4,6,2,1]=>[3,1,5,4,2,6,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,4,1,2,6,3]=>[3,1,4,7,6,2,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,1,6,2,3]=>[3,1,4,7,2,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,4,2,3,1,6]=>[3,1,4,6,5,7,2]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,4,2,3,6,1]=>[3,1,4,6,5,2,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,6,1,2,3,4]=>[3,1,2,7,6,5,4]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,6,1,2,4,3]=>[3,1,2,7,6,4,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,6,1,3,2,4]=>[3,1,2,7,5,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,1,3,4,2]=>[3,1,2,7,5,4,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,6,1,4,2,3]=>[3,1,2,7,4,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,6,2,1,3,4]=>[3,1,2,6,7,5,4]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,6,2,3,1,4]=>[3,1,2,6,5,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,2,3,4,1]=>[3,1,2,6,5,4,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,6,2,4,1,3]=>[3,1,2,6,4,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,2,4,3,1]=>[3,1,2,6,4,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,6,3,1,2,4]=>[3,1,2,5,7,6,4]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,6,3,1,4,2]=>[3,1,2,5,7,4,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,6,3,4,1,2]=>[3,1,2,5,4,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,6,4,1,2,3]=>[3,1,2,4,7,6,5]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,7,6,4,3,2,1]=>[3,1,2,4,5,6,7]=>[1,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[2,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,3,5,7,4]=>[2,7,6,5,3,1,4]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,2,4,3,7,5]=>[2,7,6,4,5,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,4,5,3,7]=>[2,7,6,4,3,5,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,4,5,7,3]=>[2,7,6,4,3,1,5]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,1,2,4,7,3,5]=>[2,7,6,4,1,5,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,4,7,5,3]=>[2,7,6,4,1,3,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,5,4,7,3]=>[2,7,6,3,4,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,5,7,3,4]=>[2,7,6,3,1,5,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,5,7,4,3]=>[2,7,6,3,1,4,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,7,4,5,3]=>[2,7,6,1,4,3,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,3,2,4,7,5]=>[2,7,5,6,4,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,2,5,7,4]=>[2,7,5,6,3,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,3,2,7,4,5]=>[2,7,5,6,1,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,2,7,5,4]=>[2,7,5,6,1,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,3,4,2,5,7]=>[2,7,5,4,6,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,3,4,2,7,5]=>[2,7,5,4,6,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,4,5,2,7]=>[2,7,5,4,3,6,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,1,3,4,7,2,5]=>[2,7,5,4,1,6,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,3,4,7,5,2]=>[2,7,5,4,1,3,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,3,5,2,7,4]=>[2,7,5,3,6,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,5,4,2,7]=>[2,7,5,3,4,6,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,3,5,4,7,2]=>[2,7,5,3,4,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,5,7,2,4]=>[2,7,5,3,1,6,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,3,5,7,4,2]=>[2,7,5,3,1,4,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,3,7,2,4,5]=>[2,7,5,1,6,4,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,3,7,2,5,4]=>[2,7,5,1,6,3,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,7,4,2,5]=>[2,7,5,1,4,6,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,3,7,4,5,2]=>[2,7,5,1,4,3,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,7,5,2,4]=>[2,7,5,1,3,6,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,3,7,5,4,2]=>[2,7,5,1,3,4,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,4,2,5,7,3]=>[2,7,4,6,3,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,4,2,7,3,5]=>[2,7,4,6,1,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,4,2,7,5,3]=>[2,7,4,6,1,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,4,3,2,7,5]=>[2,7,4,5,6,1,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,4,3,5,2,7]=>[2,7,4,5,3,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,4,3,5,7,2]=>[2,7,4,5,3,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,4,3,7,2,5]=>[2,7,4,5,1,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,4,3,7,5,2]=>[2,7,4,5,1,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,4,5,2,3,7]=>[2,7,4,3,6,5,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,4,5,2,7,3]=>[2,7,4,3,6,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,5,3,2,7]=>[2,7,4,3,5,6,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,5,3,7,2]=>[2,7,4,3,5,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,5,7,2,3]=>[2,7,4,3,1,6,5]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,4,5,7,3,2]=>[2,7,4,3,1,5,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,4,7,2,3,5]=>[2,7,4,1,6,5,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,4,7,2,5,3]=>[2,7,4,1,6,3,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,7,3,2,5]=>[2,7,4,1,5,6,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,7,3,5,2]=>[2,7,4,1,5,3,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,7,5,2,3]=>[2,7,4,1,3,6,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,7,5,3,2]=>[2,7,4,1,3,5,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,2,4,7,3]=>[2,7,3,6,4,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,5,3,2,7,4]=>[2,7,3,5,6,1,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,5,3,4,2,7]=>[2,7,3,5,4,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,3,4,7,2]=>[2,7,3,5,4,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,5,3,7,2,4]=>[2,7,3,5,1,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,3,7,4,2]=>[2,7,3,5,1,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,5,4,2,7,3]=>[2,7,3,4,6,1,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,5,4,7,2,3]=>[2,7,3,4,1,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,4,7,3,2]=>[2,7,3,4,1,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,5,7,2,3,4]=>[2,7,3,1,6,5,4]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,7,2,4,3]=>[2,7,3,1,6,4,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,7,3,2,4]=>[2,7,3,1,5,6,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,5,7,3,4,2]=>[2,7,3,1,5,4,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,7,4,2,3]=>[2,7,3,1,4,6,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,5,7,4,3,2]=>[2,7,3,1,4,5,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,7,2,3,5,4]=>[2,7,1,6,5,3,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,2,4,5,3]=>[2,7,1,6,4,3,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,7,3,2,5,4]=>[2,7,1,5,6,3,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,3,4,2,5]=>[2,7,1,5,4,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,3,4,5,2]=>[2,7,1,5,4,3,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,7,3,5,2,4]=>[2,7,1,5,3,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,3,5,4,2]=>[2,7,1,5,3,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,7,4,3,5,2]=>[2,7,1,4,5,3,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,4,5,2,3]=>[2,7,1,4,3,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,4,5,3,2]=>[2,7,1,4,3,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,7,5,3,4,2]=>[2,7,1,3,5,4,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,2,1,3,4,7,5]=>[2,6,7,5,4,1,3]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,1,3,5,7,4]=>[2,6,7,5,3,1,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,2,1,3,7,4,5]=>[2,6,7,5,1,4,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,1,3,7,5,4]=>[2,6,7,5,1,3,4]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,1,4,3,7,5]=>[2,6,7,4,5,1,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,1,4,5,3,7]=>[2,6,7,4,3,5,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,1,4,5,7,3]=>[2,6,7,4,3,1,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,2,1,4,7,3,5]=>[2,6,7,4,1,5,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,1,4,7,5,3]=>[2,6,7,4,1,3,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,1,5,3,7,4]=>[2,6,7,3,5,1,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,1,5,4,7,3]=>[2,6,7,3,4,1,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,1,5,7,4,3]=>[2,6,7,3,1,4,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,1,7,3,4,5]=>[2,6,7,1,5,4,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,1,7,3,5,4]=>[2,6,7,1,5,3,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,1,7,4,3,5]=>[2,6,7,1,4,5,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,1,7,4,5,3]=>[2,6,7,1,4,3,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,1,5,4,7]=>[2,6,5,7,3,4,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,1,5,7,4]=>[2,6,5,7,3,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,1,7,4,5]=>[2,6,5,7,1,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,1,7,5,4]=>[2,6,5,7,1,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,4,1,7,5]=>[2,6,5,4,7,1,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,2,3,4,7,5,1]=>[2,6,5,4,1,3,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,5,1,7,4]=>[2,6,5,3,7,1,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,5,4,7,1]=>[2,6,5,3,4,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,2,3,7,1,4,5]=>[2,6,5,1,7,4,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,7,1,5,4]=>[2,6,5,1,7,3,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,7,4,1,5]=>[2,6,5,1,4,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,7,4,5,1]=>[2,6,5,1,4,3,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,7,5,4,1]=>[2,6,5,1,3,4,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,4,1,3,7,5]=>[2,6,4,7,5,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,4,1,5,3,7]=>[2,6,4,7,3,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,1,5,7,3]=>[2,6,4,7,3,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,4,1,7,3,5]=>[2,6,4,7,1,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,1,7,5,3]=>[2,6,4,7,1,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,4,3,1,5,7]=>[2,6,4,5,7,3,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,4,3,1,7,5]=>[2,6,4,5,7,1,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,3,5,7,1]=>[2,6,4,5,3,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,3,7,5,1]=>[2,6,4,5,1,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,4,5,1,3,7]=>[2,6,4,3,7,5,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,4,5,1,7,3]=>[2,6,4,3,7,1,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,5,7,1,3]=>[2,6,4,3,1,7,5]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,2,4,5,7,3,1]=>[2,6,4,3,1,5,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,7,3,1,5]=>[2,6,4,1,5,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,4,7,3,5,1]=>[2,6,4,1,5,3,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,7,5,1,3]=>[2,6,4,1,3,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,5,1,3,7,4]=>[2,6,3,7,5,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,1,4,7,3]=>[2,6,3,7,4,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,5,1,7,3,4]=>[2,6,3,7,1,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,1,7,4,3]=>[2,6,3,7,1,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,5,3,1,4,7]=>[2,6,3,5,7,4,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,5,3,1,7,4]=>[2,6,3,5,7,1,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,5,4,1,7,3]=>[2,6,3,4,7,1,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,5,4,7,1,3]=>[2,6,3,4,1,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,4,7,3,1]=>[2,6,3,4,1,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,5,7,1,4,3]=>[2,6,3,1,7,4,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,5,7,3,4,1]=>[2,6,3,1,5,4,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,5,7,4,1,3]=>[2,6,3,1,4,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,5,7,4,3,1]=>[2,6,3,1,4,5,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,7,1,3,5,4]=>[2,6,1,7,5,3,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,7,1,4,3,5]=>[2,6,1,7,4,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,7,3,1,4,5]=>[2,6,1,5,7,4,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,7,3,1,5,4]=>[2,6,1,5,7,3,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,3,4,1,5]=>[2,6,1,5,4,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,3,4,5,1]=>[2,6,1,5,4,3,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,7,3,5,1,4]=>[2,6,1,5,3,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,3,5,4,1]=>[2,6,1,5,3,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,4,3,1,5]=>[2,6,1,4,5,7,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,7,4,3,5,1]=>[2,6,1,4,5,3,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,4,5,3,1]=>[2,6,1,4,3,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,7,5,1,3,4]=>[2,6,1,3,7,5,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,7,5,3,4,1]=>[2,6,1,3,5,4,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,1,2,5,7,4]=>[2,5,7,6,3,1,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,3,1,2,7,4,5]=>[2,5,7,6,1,4,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,1,2,7,5,4]=>[2,5,7,6,1,3,4]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,1,4,2,7,5]=>[2,5,7,4,6,1,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,1,4,5,2,7]=>[2,5,7,4,3,6,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,1,4,5,7,2]=>[2,5,7,4,3,1,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,3,1,4,7,2,5]=>[2,5,7,4,1,6,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,1,5,2,7,4]=>[2,5,7,3,6,1,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,1,5,4,2,7]=>[2,5,7,3,4,6,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,1,5,4,7,2]=>[2,5,7,3,4,1,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,1,5,7,2,4]=>[2,5,7,3,1,6,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,1,5,7,4,2]=>[2,5,7,3,1,4,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,1,7,2,4,5]=>[2,5,7,1,6,4,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,1,7,2,5,4]=>[2,5,7,1,6,3,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,1,7,4,2,5]=>[2,5,7,1,4,6,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,1,7,4,5,2]=>[2,5,7,1,4,3,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,1,7,5,2,4]=>[2,5,7,1,3,6,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,3,2,1,4,7,5]=>[2,5,6,7,4,1,3]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,2,1,5,7,4]=>[2,5,6,7,3,1,4]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,3,2,1,7,4,5]=>[2,5,6,7,1,4,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,2,1,7,5,4]=>[2,5,6,7,1,3,4]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,2,4,1,7,5]=>[2,5,6,4,7,1,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,2,4,7,5,1]=>[2,5,6,4,1,3,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,2,5,1,7,4]=>[2,5,6,3,7,1,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,2,5,4,7,1]=>[2,5,6,3,4,1,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,2,5,7,1,4]=>[2,5,6,3,1,7,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,2,5,7,4,1]=>[2,5,6,3,1,4,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,2,7,4,1,5]=>[2,5,6,1,4,7,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,2,7,4,5,1]=>[2,5,6,1,4,3,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,4,1,2,7,5]=>[2,5,4,7,6,1,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,4,1,5,2,7]=>[2,5,4,7,3,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,1,5,7,2]=>[2,5,4,7,3,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,4,1,7,2,5]=>[2,5,4,7,1,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,1,7,5,2]=>[2,5,4,7,1,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,4,2,1,7,5]=>[2,5,4,6,7,1,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,4,2,7,1,5]=>[2,5,4,6,1,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,2,7,5,1]=>[2,5,4,6,1,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,3,4,5,1,7,2]=>[2,5,4,3,7,1,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,3,4,7,1,5,2]=>[2,5,4,1,7,3,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,7,2,1,5]=>[2,5,4,1,6,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,7,2,5,1]=>[2,5,4,1,6,3,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,7,5,1,2]=>[2,5,4,1,3,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,7,5,2,1]=>[2,5,4,1,3,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,5,1,2,7,4]=>[2,5,3,7,6,1,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,1,4,2,7]=>[2,5,3,7,4,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,1,4,7,2]=>[2,5,3,7,4,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,1,7,2,4]=>[2,5,3,7,1,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,1,7,4,2]=>[2,5,3,7,1,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,5,2,1,7,4]=>[2,5,3,6,7,1,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,2,7,1,4]=>[2,5,3,6,1,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,2,7,4,1]=>[2,5,3,6,1,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,5,4,1,7,2]=>[2,5,3,4,7,1,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,5,4,2,1,7]=>[2,5,3,4,6,7,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,5,4,2,7,1]=>[2,5,3,4,6,1,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,5,4,7,1,2]=>[2,5,3,4,1,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,4,7,2,1]=>[2,5,3,4,1,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,3,5,7,1,4,2]=>[2,5,3,1,7,4,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,7,2,1,4]=>[2,5,3,1,6,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,7,2,4,1]=>[2,5,3,1,6,4,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,7,4,1,2]=>[2,5,3,1,4,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,7,4,2,1]=>[2,5,3,1,4,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,7,1,2,5,4]=>[2,5,1,7,6,3,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,1,4,2,5]=>[2,5,1,7,4,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,1,4,5,2]=>[2,5,1,7,4,3,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,1,5,2,4]=>[2,5,1,7,3,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,7,2,1,4,5]=>[2,5,1,6,7,4,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,2,4,1,5]=>[2,5,1,6,4,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,2,4,5,1]=>[2,5,1,6,4,3,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,7,4,1,2,5]=>[2,5,1,4,7,6,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,4,2,1,5]=>[2,5,1,4,6,7,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,7,4,2,5,1]=>[2,5,1,4,6,3,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,4,5,1,2]=>[2,5,1,4,3,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,4,5,2,1]=>[2,5,1,4,3,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,7,5,1,2,4]=>[2,5,1,3,7,6,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,1,2,5,7,3]=>[2,4,7,6,3,1,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,1,3,2,7,5]=>[2,4,7,5,6,1,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,1,3,5,2,7]=>[2,4,7,5,3,6,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,1,3,5,7,2]=>[2,4,7,5,3,1,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,4,1,3,7,2,5]=>[2,4,7,5,1,6,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,1,3,7,5,2]=>[2,4,7,5,1,3,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,1,5,3,7,2]=>[2,4,7,3,5,1,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,1,5,7,2,3]=>[2,4,7,3,1,6,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,1,5,7,3,2]=>[2,4,7,3,1,5,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,1,7,2,3,5]=>[2,4,7,1,6,5,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,1,7,2,5,3]=>[2,4,7,1,6,3,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,1,7,3,2,5]=>[2,4,7,1,5,6,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,1,7,3,5,2]=>[2,4,7,1,5,3,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,1,7,5,2,3]=>[2,4,7,1,3,6,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,4,2,1,3,7,5]=>[2,4,6,7,5,1,3]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,4,2,1,5,3,7]=>[2,4,6,7,3,5,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,2,1,5,7,3]=>[2,4,6,7,3,1,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,4,2,1,7,3,5]=>[2,4,6,7,1,5,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,2,1,7,5,3]=>[2,4,6,7,1,3,5]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,2,3,7,5,1]=>[2,4,6,5,1,3,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,2,5,1,7,3]=>[2,4,6,3,7,1,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,2,5,3,1,7]=>[2,4,6,3,5,7,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,2,5,7,3,1]=>[2,4,6,3,1,5,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,2,7,3,1,5]=>[2,4,6,1,5,7,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,2,7,3,5,1]=>[2,4,6,1,5,3,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,3,1,5,7,2]=>[2,4,5,7,3,1,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,4,3,1,7,2,5]=>[2,4,5,7,1,6,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,3,5,1,7,2]=>[2,4,5,3,7,1,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,4,5,1,2,7,3]=>[2,4,3,7,6,1,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,5,1,3,2,7]=>[2,4,3,7,5,6,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,1,3,7,2]=>[2,4,3,7,5,1,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,5,1,7,2,3]=>[2,4,3,7,1,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,1,7,3,2]=>[2,4,3,7,1,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,5,2,1,7,3]=>[2,4,3,6,7,1,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,5,2,7,1,3]=>[2,4,3,6,1,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,2,7,3,1]=>[2,4,3,6,1,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,5,3,1,7,2]=>[2,4,3,5,7,1,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,4,5,7,1,3,2]=>[2,4,3,1,7,5,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,4,7,1,2,5,3]=>[2,4,1,7,6,3,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,7,1,3,2,5]=>[2,4,1,7,5,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,7,1,3,5,2]=>[2,4,1,7,5,3,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,7,1,5,2,3]=>[2,4,1,7,3,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,2,1,3,5]=>[2,4,1,6,7,5,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,2,3,1,5]=>[2,4,1,6,5,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,7,2,3,5,1]=>[2,4,1,6,5,3,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,3,1,2,5]=>[2,4,1,5,7,6,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,5,1,2,3]=>[2,4,1,3,7,6,5]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,1,2,4,7,3]=>[2,3,7,6,4,1,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,1,3,2,7,4]=>[2,3,7,5,6,1,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,1,3,4,2,7]=>[2,3,7,5,4,6,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,1,3,4,7,2]=>[2,3,7,5,4,1,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,5,1,3,7,2,4]=>[2,3,7,5,1,6,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,1,3,7,4,2]=>[2,3,7,5,1,4,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,1,4,3,7,2]=>[2,3,7,4,5,1,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,1,4,7,2,3]=>[2,3,7,4,1,6,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,1,7,3,4,2]=>[2,3,7,1,5,4,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,5,2,1,3,7,4]=>[2,3,6,7,5,1,4]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,2,1,4,7,3]=>[2,3,6,7,4,1,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,5,2,1,7,3,4]=>[2,3,6,7,1,5,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,2,3,1,7,4]=>[2,3,6,5,7,1,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,2,3,7,4,1]=>[2,3,6,5,1,4,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,2,4,1,7,3]=>[2,3,6,4,7,1,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,2,4,3,1,7]=>[2,3,6,4,5,7,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,2,4,3,7,1]=>[2,3,6,4,5,1,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,2,4,7,1,3]=>[2,3,6,4,1,7,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,2,4,7,3,1]=>[2,3,6,4,1,5,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,2,7,3,1,4]=>[2,3,6,1,5,7,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,5,3,1,7,2,4]=>[2,3,5,7,1,6,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,3,1,7,4,2]=>[2,3,5,7,1,4,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,4,1,3,7,2]=>[2,3,4,7,5,1,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[6,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,5,7,1,2,4,3]=>[2,3,1,7,6,4,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,5,7,1,3,2,4]=>[2,3,1,7,5,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,1,3,4,2]=>[2,3,1,7,5,4,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,5,7,1,4,2,3]=>[2,3,1,7,4,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[1,2,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,1,2,3,5,4]=>[2,1,7,6,5,3,4]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,1,2,4,3,5]=>[2,1,7,6,4,5,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,2,4,5,3]=>[2,1,7,6,4,3,5]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,1,2,5,3,4]=>[2,1,7,6,3,5,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,2,5,4,3]=>[2,1,7,6,3,4,5]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,1,3,2,4,5]=>[2,1,7,5,6,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,1,3,2,5,4]=>[2,1,7,5,6,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,3,4,2,5]=>[2,1,7,5,4,6,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,3,4,5,2]=>[2,1,7,5,4,3,6]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,1,3,5,2,4]=>[2,1,7,5,3,6,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,3,5,4,2]=>[2,1,7,5,3,4,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,1,4,2,3,5]=>[2,1,7,4,6,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,1,4,2,5,3]=>[2,1,7,4,6,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,4,3,2,5]=>[2,1,7,4,5,6,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,4,3,5,2]=>[2,1,7,4,5,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,4,5,2,3]=>[2,1,7,4,3,6,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,4,5,3,2]=>[2,1,7,4,3,5,6]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,1,5,2,3,4]=>[2,1,7,3,6,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,1,5,2,4,3]=>[2,1,7,3,6,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,5,3,2,4]=>[2,1,7,3,5,6,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,5,3,4,2]=>[2,1,7,3,5,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,5,4,2,3]=>[2,1,7,3,4,6,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,7,2,1,3,5,4]=>[2,1,6,7,5,3,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,2,1,4,3,5]=>[2,1,6,7,4,5,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,2,1,4,5,3]=>[2,1,6,7,4,3,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,2,1,5,3,4]=>[2,1,6,7,3,5,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,3,1,5,4]=>[2,1,6,5,7,3,4]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>[1,2,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,2,3,5,1,4]=>[2,1,6,5,3,7,4]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,2,3,5,4,1]=>[2,1,6,5,3,4,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,4,1,5,3]=>[2,1,6,4,7,3,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,4,3,1,5]=>[2,1,6,4,5,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,2,4,3,5,1]=>[2,1,6,4,5,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,4,5,1,3]=>[2,1,6,4,3,7,5]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,2,4,5,3,1]=>[2,1,6,4,3,5,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,5,3,1,4]=>[2,1,6,3,5,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,2,5,3,4,1]=>[2,1,6,3,5,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,7,3,1,2,5,4]=>[2,1,5,7,6,3,4]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,3,1,4,2,5]=>[2,1,5,7,4,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,3,1,4,5,2]=>[2,1,5,7,4,3,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,3,1,5,2,4]=>[2,1,5,7,3,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,3,4,1,5,2]=>[2,1,5,4,7,3,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[1,2,1,2,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>[1,2,1,3]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,4,1,3,2,5]=>[2,1,4,7,5,6,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,1,3,5,2]=>[2,1,4,7,5,3,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,4,1,5,2,3]=>[2,1,4,7,3,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>[1,2,2,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>[1,2,2,2]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>[1,2,3,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>[1,2,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>[1,3,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,7,5,1,2,4,3]=>[2,1,3,7,6,4,5]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,5,1,3,2,4]=>[2,1,3,7,5,6,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,5,1,3,4,2]=>[2,1,3,7,5,4,6]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,5,1,4,2,3]=>[2,1,3,7,4,6,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>[1,3,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>[1,3,2,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>[1,3,3]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>[1,4,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>[1,4,2]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[1,5,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>[1,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,2,3,5,6,4]=>[1,7,6,5,3,2,4]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,2,4,5,6,3]=>[1,7,6,4,3,2,5]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,2,4,6,5,3]=>[1,7,6,4,2,3,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,2,5,4,6,3]=>[1,7,6,3,4,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,2,5,6,4,3]=>[1,7,6,3,2,4,5]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,2,6,4,5,3]=>[1,7,6,2,4,3,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,3,2,5,6,4]=>[1,7,5,6,3,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,3,4,2,5,6]=>[1,7,5,4,6,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,4,2,6,5]=>[1,7,5,4,6,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,4,5,2,6]=>[1,7,5,4,3,6,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,1,3,4,6,2,5]=>[1,7,5,4,2,6,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,3,4,6,5,2]=>[1,7,5,4,2,3,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,5,2,6,4]=>[1,7,5,3,6,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,5,4,2,6]=>[1,7,5,3,4,6,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,5,4,6,2]=>[1,7,5,3,4,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,6,4,2,5]=>[1,7,5,2,4,6,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,6,4,5,2]=>[1,7,5,2,4,3,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,6,5,4,2]=>[1,7,5,2,3,4,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,2,5,6,3]=>[1,7,4,6,3,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,2,6,5,3]=>[1,7,4,6,2,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,4,3,5,2,6]=>[1,7,4,5,3,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,3,5,6,2]=>[1,7,4,5,3,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,3,6,5,2]=>[1,7,4,5,2,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,4,5,2,3,6]=>[1,7,4,3,6,5,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,4,5,2,6,3]=>[1,7,4,3,6,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,5,3,2,6]=>[1,7,4,3,5,6,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,5,6,2,3]=>[1,7,4,3,2,6,5]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,4,5,6,3,2]=>[1,7,4,3,2,5,6]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,4,6,3,5,2]=>[1,7,4,2,5,3,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,6,5,2,3]=>[1,7,4,2,3,6,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,2,4,6,3]=>[1,7,3,6,4,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,5,3,2,6,4]=>[1,7,3,5,6,2,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,5,3,4,2,6]=>[1,7,3,5,4,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,5,4,6,2,3]=>[1,7,3,4,2,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,4,6,3,2]=>[1,7,3,4,2,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,5,6,2,3,4]=>[1,7,3,2,6,5,4]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,5,6,2,4,3]=>[1,7,3,2,6,4,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,5,6,3,2,4]=>[1,7,3,2,5,6,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,6,3,4,2]=>[1,7,3,2,5,4,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,5,6,4,2,3]=>[1,7,3,2,4,6,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,6,4,3,2]=>[1,7,3,2,4,5,6]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,3,4,2,5]=>[1,7,2,5,4,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,3,4,5,2]=>[1,7,2,5,4,3,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,3,5,4,2]=>[1,7,2,5,3,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,6,4,3,5,2]=>[1,7,2,4,5,3,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,4,5,2,3]=>[1,7,2,4,3,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,4,5,3,2]=>[1,7,2,4,3,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,6,5,3,4,2]=>[1,7,2,3,5,4,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,1,4,5,3,6]=>[1,6,7,4,3,5,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,1,4,5,6,3]=>[1,6,7,4,3,2,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,1,4,6,5,3]=>[1,6,7,4,2,3,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,1,5,3,4,6]=>[1,6,7,3,5,4,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,1,5,3,6,4]=>[1,6,7,3,5,2,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,1,5,4,6,3]=>[1,6,7,3,4,2,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,1,5,6,3,4]=>[1,6,7,3,2,5,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,1,5,6,4,3]=>[1,6,7,3,2,4,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,1,6,3,4,5]=>[1,6,7,2,5,4,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,1,6,4,5,3]=>[1,6,7,2,4,3,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,1,6,5,3,4]=>[1,6,7,2,3,5,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,2,3,1,4,6,5]=>[1,6,5,7,4,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,1,5,4,6]=>[1,6,5,7,3,4,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,3,1,5,6,4]=>[1,6,5,7,3,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,1,6,4,5]=>[1,6,5,7,2,4,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,3,1,6,5,4]=>[1,6,5,7,2,3,4]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,3,4,1,6,5]=>[1,6,5,4,7,2,3]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[2,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,2,3,4,6,1,5]=>[1,6,5,4,2,7,3]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,3,5,1,4,6]=>[1,6,5,3,7,4,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,3,5,1,6,4]=>[1,6,5,3,7,2,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,5,4,1,6]=>[1,6,5,3,4,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,5,6,1,4]=>[1,6,5,3,2,7,4]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,3,5,6,4,1]=>[1,6,5,3,2,4,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,3,6,1,4,5]=>[1,6,5,2,7,4,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,3,6,1,5,4]=>[1,6,5,2,7,3,4]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,6,4,1,5]=>[1,6,5,2,4,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,6,4,5,1]=>[1,6,5,2,4,3,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,6,5,1,4]=>[1,6,5,2,3,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,4,1,5,3,6]=>[1,6,4,7,3,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,1,5,6,3]=>[1,6,4,7,3,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,1,6,5,3]=>[1,6,4,7,2,3,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,4,3,1,5,6]=>[1,6,4,5,7,3,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,4,3,1,6,5]=>[1,6,4,5,7,2,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,4,3,5,1,6]=>[1,6,4,5,3,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,4,3,6,1,5]=>[1,6,4,5,2,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,4,5,1,3,6]=>[1,6,4,3,7,5,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,4,5,1,6,3]=>[1,6,4,3,7,2,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,5,3,1,6]=>[1,6,4,3,5,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,4,5,3,6,1]=>[1,6,4,3,5,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,5,6,1,3]=>[1,6,4,3,2,7,5]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,4,5,6,3,1]=>[1,6,4,3,2,5,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,4,6,1,5,3]=>[1,6,4,2,7,3,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,6,3,1,5]=>[1,6,4,2,5,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,4,6,3,5,1]=>[1,6,4,2,5,3,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,6,5,1,3]=>[1,6,4,2,3,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,4,6,5,3,1]=>[1,6,4,2,3,5,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,2,5,1,3,6,4]=>[1,6,3,7,5,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,1,4,6,3]=>[1,6,3,7,4,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,1,6,3,4]=>[1,6,3,7,2,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,1,6,4,3]=>[1,6,3,7,2,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,5,3,1,4,6]=>[1,6,3,5,7,4,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,5,3,1,6,4]=>[1,6,3,5,7,2,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,5,3,4,1,6]=>[1,6,3,5,4,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,3,4,6,1]=>[1,6,3,5,4,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,3,6,1,4]=>[1,6,3,5,2,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,3,6,4,1]=>[1,6,3,5,2,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,5,4,1,6,3]=>[1,6,3,4,7,2,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,5,4,3,1,6]=>[1,6,3,4,5,7,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,5,4,6,1,3]=>[1,6,3,4,2,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,4,6,3,1]=>[1,6,3,4,2,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,5,6,1,4,3]=>[1,6,3,2,7,4,5]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,5,6,3,1,4]=>[1,6,3,2,5,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,5,6,4,1,3]=>[1,6,3,2,4,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,5,6,4,3,1]=>[1,6,3,2,4,5,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,1,4,5,3]=>[1,6,2,7,4,3,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,6,3,1,4,5]=>[1,6,2,5,7,4,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,6,3,1,5,4]=>[1,6,2,5,7,3,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,6,3,4,1,5]=>[1,6,2,5,4,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,3,4,5,1]=>[1,6,2,5,4,3,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,6,3,5,1,4]=>[1,6,2,5,3,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,3,5,4,1]=>[1,6,2,5,3,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,6,4,1,5,3]=>[1,6,2,4,7,3,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,6,4,3,1,5]=>[1,6,2,4,5,7,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,6,4,3,5,1]=>[1,6,2,4,5,3,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,6,4,5,1,3]=>[1,6,2,4,3,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,6,5,3,1,4]=>[1,6,2,3,5,7,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,6,5,3,4,1]=>[1,6,2,3,5,4,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,1,4,2,6,5]=>[1,5,7,4,6,2,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,1,4,5,6,2]=>[1,5,7,4,3,2,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,1,4,6,2,5]=>[1,5,7,4,2,6,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,1,4,6,5,2]=>[1,5,7,4,2,3,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,1,6,4,2,5]=>[1,5,7,2,4,6,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,3,2,1,5,6,4]=>[1,5,6,7,3,2,4]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,2,5,1,6,4]=>[1,5,6,3,7,2,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,2,5,4,1,6]=>[1,5,6,3,4,7,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,2,5,6,1,4]=>[1,5,6,3,2,7,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,2,5,6,4,1]=>[1,5,6,3,2,4,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,2,6,4,5,1]=>[1,5,6,2,4,3,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,3,4,1,2,6,5]=>[1,5,4,7,6,2,3]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,1,5,2,6]=>[1,5,4,7,3,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,4,1,5,6,2]=>[1,5,4,7,3,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,1,6,2,5]=>[1,5,4,7,2,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,4,1,6,5,2]=>[1,5,4,7,2,3,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,4,2,1,6,5]=>[1,5,4,6,7,2,3]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,2,6,1,5]=>[1,5,4,6,2,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,4,2,6,5,1]=>[1,5,4,6,2,3,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,4,5,1,6,2]=>[1,5,4,3,7,2,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>[2,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>[2,1,1,3]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,3,4,6,1,2,5]=>[1,5,4,2,7,6,3]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,4,6,1,5,2]=>[1,5,4,2,7,3,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,6,2,1,5]=>[1,5,4,2,6,7,3]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,6,2,5,1]=>[1,5,4,2,6,3,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,6,5,1,2]=>[1,5,4,2,3,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,6,5,2,1]=>[1,5,4,2,3,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,3,5,1,2,6,4]=>[1,5,3,7,6,2,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,1,4,2,6]=>[1,5,3,7,4,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,5,1,4,6,2]=>[1,5,3,7,4,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,1,6,2,4]=>[1,5,3,7,2,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,5,1,6,4,2]=>[1,5,3,7,2,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,5,2,1,6,4]=>[1,5,3,6,7,2,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,5,2,4,1,6]=>[1,5,3,6,4,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,5,2,4,6,1]=>[1,5,3,6,4,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,2,6,1,4]=>[1,5,3,6,2,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,5,2,6,4,1]=>[1,5,3,6,2,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,5,4,1,2,6]=>[1,5,3,4,7,6,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,5,4,1,6,2]=>[1,5,3,4,7,2,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,5,4,2,1,6]=>[1,5,3,4,6,7,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,5,4,2,6,1]=>[1,5,3,4,6,2,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,5,4,6,1,2]=>[1,5,3,4,2,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,5,4,6,2,1]=>[1,5,3,4,2,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,5,6,1,2,4]=>[1,5,3,2,7,6,4]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,5,6,1,4,2]=>[1,5,3,2,7,4,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,6,2,1,4]=>[1,5,3,2,6,7,4]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,6,2,4,1]=>[1,5,3,2,6,4,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,6,4,1,2]=>[1,5,3,2,4,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,6,4,2,1]=>[1,5,3,2,4,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,6,1,4,2,5]=>[1,5,2,7,4,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,6,1,4,5,2]=>[1,5,2,7,4,3,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,6,1,5,4,2]=>[1,5,2,7,3,4,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,2,4,1,5]=>[1,5,2,6,4,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,6,2,4,5,1]=>[1,5,2,6,4,3,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,4,1,2,5]=>[1,5,2,4,7,6,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,6,4,1,5,2]=>[1,5,2,4,7,3,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,4,2,1,5]=>[1,5,2,4,6,7,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,4,5,1,2]=>[1,5,2,4,3,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,6,4,5,2,1]=>[1,5,2,4,3,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,6,5,1,4,2]=>[1,5,2,3,7,4,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,6,5,2,4,1]=>[1,5,2,3,6,4,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,1,2,5,6,3]=>[1,4,7,6,3,2,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,1,3,5,2,6]=>[1,4,7,5,3,6,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,1,3,6,5,2]=>[1,4,7,5,2,3,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,1,5,6,2,3]=>[1,4,7,3,2,6,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,1,5,6,3,2]=>[1,4,7,3,2,5,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,1,6,3,5,2]=>[1,4,7,2,5,3,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,1,6,5,2,3]=>[1,4,7,2,3,6,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,4,2,1,5,3,6]=>[1,4,6,7,3,5,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,2,1,5,6,3]=>[1,4,6,7,3,2,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,2,3,1,6,5]=>[1,4,6,5,7,2,3]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,2,5,3,6,1]=>[1,4,6,3,5,2,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,2,5,6,1,3]=>[1,4,6,3,2,7,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,2,5,6,3,1]=>[1,4,6,3,2,5,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,2,6,3,1,5]=>[1,4,6,2,5,7,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,2,6,3,5,1]=>[1,4,6,2,5,3,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,3,1,5,6,2]=>[1,4,5,7,3,2,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,3,5,1,6,2]=>[1,4,5,3,7,2,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,4,5,1,2,6,3]=>[1,4,3,7,6,2,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,5,1,3,2,6]=>[1,4,3,7,5,6,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,1,3,6,2]=>[1,4,3,7,5,2,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,5,1,6,2,3]=>[1,4,3,7,2,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,1,6,3,2]=>[1,4,3,7,2,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,5,2,1,6,3]=>[1,4,3,6,7,2,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,5,2,6,1,3]=>[1,4,3,6,2,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,2,6,3,1]=>[1,4,3,6,2,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,5,3,1,6,2]=>[1,4,3,5,7,2,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>[2,1,2,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,4,5,6,1,3,2]=>[1,4,3,2,7,5,6]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>[2,1,2,2]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>[2,1,3,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>[2,1,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,4,6,1,2,5,3]=>[1,4,2,7,6,3,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,6,1,3,5,2]=>[1,4,2,7,5,3,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,6,2,3,1,5]=>[1,4,2,6,5,7,3]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,6,2,3,5,1]=>[1,4,2,6,5,3,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,1,2,4,6,3]=>[1,3,7,6,4,2,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,1,3,6,4,2]=>[1,3,7,5,2,4,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,2,6,3,4,1]=>[1,3,6,2,5,4,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,4,1,3,6,2]=>[1,3,4,7,5,2,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[6,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>[2,2,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,5,6,1,2,4,3]=>[1,3,2,7,6,4,5]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,6,1,3,2,4]=>[1,3,2,7,5,6,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,6,1,3,4,2]=>[1,3,2,7,5,4,6]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,6,1,4,2,3]=>[1,3,2,7,4,6,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>[2,2,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>[2,2,2,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>[2,2,3]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>[2,3,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[2,3,2]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>[2,4,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>[2,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[3,1,1,1,1]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,1,2,4,5,3]=>[1,2,7,6,4,3,5]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,1,4,3,5,2]=>[1,2,7,4,5,3,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,1,4,5,2,3]=>[1,2,7,4,3,6,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,1,4,5,3,2]=>[1,2,7,4,3,5,6]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,1,5,3,4,2]=>[1,2,7,3,5,4,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>[3,1,1,2]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>[3,1,2,1]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[3,1,3]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[6,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>[3,2,1,1]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>[3,2,2]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>[3,3,1]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>[3,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[4,1,1,1]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>[4,1,2]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[6,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>[4,2,1]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>[4,3]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[5,1,1]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[6,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>[5,2]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[6,1]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[7]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>[1,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,5,6,7,4,3,2,1]=>[1,4,3,2,5,6,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,5,6,8,4,3,2,1]=>[2,4,3,1,5,6,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [7,8,6,4,5,3,2,1]=>[2,1,3,5,4,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,6,8,4,5,3,2,1]=>[2,3,1,5,4,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,7,8,4,5,3,2,1]=>[3,2,1,5,4,6,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,8,5,4,6,3,2,1]=>[2,1,4,5,3,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,8,4,5,6,3,2,1]=>[2,1,5,4,3,6,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,4,5,6,7,3,2,1]=>[1,5,4,3,2,6,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,7,5,4,8,3,2,1]=>[3,2,4,5,1,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,5,6,4,8,3,2,1]=>[2,4,3,5,1,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,5,7,4,8,3,2,1]=>[3,4,2,5,1,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,6,7,4,8,3,2,1]=>[4,3,2,5,1,6,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,4,5,8,3,2,1]=>[3,2,5,4,1,6,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,6,7,5,3,4,2,1]=>[1,3,2,4,6,5,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,6,8,5,3,4,2,1]=>[2,3,1,4,6,5,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,7,8,5,3,4,2,1]=>[3,2,1,4,6,5,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,5,6,7,3,4,2,1]=>[1,4,3,2,6,5,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,5,8,3,4,2,1]=>[3,2,4,1,6,5,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,5,6,8,3,4,2,1]=>[2,4,3,1,6,5,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,5,7,8,3,4,2,1]=>[3,4,2,1,6,5,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,7,8,3,4,2,1]=>[4,3,2,1,6,5,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,8,6,4,3,5,2,1]=>[2,1,3,5,6,4,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,6,7,4,3,5,2,1]=>[1,3,2,5,6,4,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,6,8,4,3,5,2,1]=>[2,3,1,5,6,4,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,8,6,3,4,5,2,1]=>[2,1,3,6,5,4,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,6,7,3,4,5,2,1]=>[1,3,2,6,5,4,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,6,8,3,4,5,2,1]=>[2,3,1,6,5,4,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,8,3,4,5,2,1]=>[3,2,1,6,5,4,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,5,4,3,6,2,1]=>[2,1,4,5,6,3,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,8,4,5,3,6,2,1]=>[2,1,5,4,6,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,4,3,5,6,2,1]=>[2,1,5,6,4,3,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,5,6,4,3,7,2,1]=>[1,4,3,5,6,2,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,5,6,3,4,7,2,1]=>[1,4,3,6,5,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,5,3,6,7,2,1]=>[1,5,4,6,3,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,4,5,6,7,2,1]=>[1,6,5,4,3,2,7,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,7,5,4,3,8,2,1]=>[3,2,4,5,6,1,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,5,6,4,3,8,2,1]=>[2,4,3,5,6,1,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,5,7,4,3,8,2,1]=>[3,4,2,5,6,1,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,7,4,3,8,2,1]=>[4,3,2,5,6,1,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,4,5,3,8,2,1]=>[3,2,5,4,6,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,5,6,3,8,2,1]=>[2,5,4,3,6,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,4,7,3,8,2,1]=>[4,3,5,2,6,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,5,7,3,8,2,1]=>[3,5,4,2,6,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,5,6,3,4,8,2,1]=>[2,4,3,6,5,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,5,7,3,4,8,2,1]=>[3,4,2,6,5,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,5,3,6,8,2,1]=>[2,5,4,6,3,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,4,3,7,8,2,1]=>[4,3,5,6,2,1,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,5,3,7,8,2,1]=>[3,5,4,6,2,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,4,6,3,7,8,2,1]=>[4,5,3,6,2,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,6,3,7,8,2,1]=>[5,4,3,6,2,1,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,3,4,7,8,2,1]=>[4,3,6,5,2,1,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,3,4,5,7,8,2,1]=>[3,6,5,4,2,1,7,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,3,5,6,7,8,2,1]=>[5,6,4,3,2,1,7,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,4,5,6,7,8,2,1]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [7,8,6,5,4,2,3,1]=>[2,1,3,4,5,7,6,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,6,8,5,4,2,3,1]=>[2,3,1,4,5,7,6,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,7,8,5,4,2,3,1]=>[3,2,1,4,5,7,6,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,5,6,7,4,2,3,1]=>[1,4,3,2,5,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,5,8,4,2,3,1]=>[3,2,4,1,5,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,8,4,2,3,1]=>[2,4,3,1,5,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,7,8,4,2,3,1]=>[3,4,2,1,5,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,7,8,4,2,3,1]=>[4,3,2,1,5,7,6,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,8,6,4,5,2,3,1]=>[2,1,3,5,4,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,8,4,5,2,3,1]=>[3,2,1,5,4,7,6,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,5,6,2,3,1]=>[2,1,5,4,3,7,6,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,5,6,4,7,2,3,1]=>[1,4,3,5,2,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,6,7,2,3,1]=>[1,5,4,3,2,7,6,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,5,4,8,2,3,1]=>[3,2,4,5,1,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,6,4,8,2,3,1]=>[2,4,3,5,1,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,4,8,2,3,1]=>[3,4,2,5,1,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,7,4,8,2,3,1]=>[4,3,2,5,1,7,6,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,5,8,2,3,1]=>[3,2,5,4,1,7,6,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,5,6,8,2,3,1]=>[2,5,4,3,1,7,6,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,7,8,2,3,1]=>[4,3,5,2,1,7,6,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,7,8,2,3,1]=>[3,5,4,2,1,7,6,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,6,7,8,2,3,1]=>[4,5,3,2,1,7,6,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,7,8,2,3,1]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [7,8,6,5,3,2,4,1]=>[2,1,3,4,6,7,5,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,6,8,5,3,2,4,1]=>[2,3,1,4,6,7,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,7,8,5,3,2,4,1]=>[3,2,1,4,6,7,5,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,5,6,7,3,2,4,1]=>[1,4,3,2,6,7,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,5,8,3,2,4,1]=>[3,2,4,1,6,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,7,8,3,2,4,1]=>[4,3,2,1,6,7,5,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [8,6,7,5,2,3,4,1]=>[1,3,2,4,7,6,5,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,8,5,2,3,4,1]=>[3,2,1,4,7,6,5,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,5,8,2,3,4,1]=>[3,2,4,1,7,6,5,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,7,8,2,3,4,1]=>[4,3,2,1,7,6,5,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [8,6,7,4,3,2,5,1]=>[1,3,2,5,6,7,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,6,8,4,3,2,5,1]=>[2,3,1,5,6,7,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,7,8,4,3,2,5,1]=>[3,2,1,5,6,7,4,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,8,6,3,4,2,5,1]=>[2,1,3,6,5,7,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,6,7,3,4,2,5,1]=>[1,3,2,6,5,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,6,8,3,4,2,5,1]=>[2,3,1,6,5,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,8,3,4,2,5,1]=>[3,2,1,6,5,7,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,6,7,4,2,3,5,1]=>[1,3,2,5,7,6,4,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,8,4,2,3,5,1]=>[3,2,1,5,7,6,4,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,8,6,3,2,4,5,1]=>[2,1,3,6,7,5,4,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,6,7,3,2,4,5,1]=>[1,3,2,6,7,5,4,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,6,8,3,2,4,5,1]=>[2,3,1,6,7,5,4,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,8,3,2,4,5,1]=>[3,2,1,6,7,5,4,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,8,6,2,3,4,5,1]=>[2,1,3,7,6,5,4,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,6,7,2,3,4,5,1]=>[1,3,2,7,6,5,4,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,6,8,2,3,4,5,1]=>[2,3,1,7,6,5,4,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,7,8,2,3,4,5,1]=>[3,2,1,7,6,5,4,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,5,4,3,2,6,1]=>[2,1,4,5,6,7,3,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,8,4,5,3,2,6,1]=>[2,1,5,4,6,7,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,5,4,2,3,6,1]=>[2,1,4,5,7,6,3,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,4,5,2,3,6,1]=>[2,1,5,4,7,6,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,5,3,2,4,6,1]=>[2,1,4,6,7,5,3,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,5,2,3,4,6,1]=>[2,1,4,7,6,5,3,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,4,3,2,5,6,1]=>[2,1,5,6,7,4,3,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,3,2,4,5,6,1]=>[2,1,6,7,5,4,3,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,2,3,4,5,6,1]=>[2,1,7,6,5,4,3,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [8,4,5,6,3,2,7,1]=>[1,5,4,3,6,7,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,6,3,4,2,7,1]=>[1,4,3,6,5,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,3,6,2,7,1]=>[1,5,4,6,3,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,5,6,2,7,1]=>[1,6,5,4,3,7,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,5,6,2,3,4,7,1]=>[1,4,3,7,6,5,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,4,5,3,2,6,7,1]=>[1,5,4,6,7,3,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,5,2,3,6,7,1]=>[1,5,4,7,6,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,3,4,2,5,6,7,1]=>[1,6,5,7,4,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,7,5,4,3,2,8,1]=>[3,2,4,5,6,7,1,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,5,6,4,3,2,8,1]=>[2,4,3,5,6,7,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,5,7,4,3,2,8,1]=>[3,4,2,5,6,7,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,6,7,4,3,2,8,1]=>[4,3,2,5,6,7,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,4,5,3,2,8,1]=>[3,2,5,4,6,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,6,3,2,8,1]=>[2,5,4,3,6,7,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,5,7,3,2,8,1]=>[3,5,4,2,6,7,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,6,7,3,2,8,1]=>[4,5,3,2,6,7,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,6,7,3,2,8,1]=>[5,4,3,2,6,7,1,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,7,5,3,4,2,8,1]=>[3,2,4,6,5,7,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,6,3,4,2,8,1]=>[2,4,3,6,5,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,3,4,2,8,1]=>[3,4,2,6,5,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,7,3,4,2,8,1]=>[4,3,2,6,5,7,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,4,5,2,8,1]=>[3,2,6,5,4,7,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,4,5,6,2,8,1]=>[2,6,5,4,3,7,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,3,7,2,8,1]=>[4,3,5,6,2,7,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,3,7,2,8,1]=>[3,5,4,6,2,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,6,3,7,2,8,1]=>[5,4,3,6,2,7,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,4,7,2,8,1]=>[4,3,6,5,2,7,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,5,7,2,8,1]=>[3,6,5,4,2,7,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,6,7,2,8,1]=>[5,4,6,3,2,7,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,5,6,7,2,8,1]=>[6,5,4,3,2,7,1,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [6,7,5,4,2,3,8,1]=>[3,2,4,5,7,6,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,6,4,2,3,8,1]=>[2,4,3,5,7,6,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,5,7,4,2,3,8,1]=>[3,4,2,5,7,6,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,7,4,2,3,8,1]=>[4,3,2,5,7,6,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,4,5,2,3,8,1]=>[3,2,5,4,7,6,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,5,6,2,3,8,1]=>[2,5,4,3,7,6,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,4,7,2,3,8,1]=>[4,3,5,2,7,6,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,5,7,2,3,8,1]=>[3,5,4,2,7,6,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,6,7,2,3,8,1]=>[4,5,3,2,7,6,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,6,7,2,3,8,1]=>[5,4,3,2,7,6,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,7,5,3,2,4,8,1]=>[3,2,4,6,7,5,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,5,7,3,2,4,8,1]=>[3,4,2,6,7,5,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,7,3,2,4,8,1]=>[4,3,2,6,7,5,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,5,2,3,4,8,1]=>[3,2,4,7,6,5,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,5,6,2,3,4,8,1]=>[2,4,3,7,6,5,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,5,7,2,3,4,8,1]=>[3,4,2,7,6,5,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,6,7,2,3,4,8,1]=>[4,3,2,7,6,5,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,4,3,2,5,8,1]=>[3,2,5,6,7,4,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,3,4,2,5,8,1]=>[3,2,6,5,7,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,4,2,3,5,8,1]=>[3,2,5,7,6,4,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,3,2,4,5,8,1]=>[3,2,6,7,5,4,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,2,3,4,5,8,1]=>[3,2,7,6,5,4,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,4,5,3,2,6,8,1]=>[2,5,4,6,7,3,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,4,5,2,3,6,8,1]=>[2,5,4,7,6,3,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,3,4,2,5,6,8,1]=>[2,6,5,7,4,3,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,2,3,4,5,6,8,1]=>[2,7,6,5,4,3,1,8]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,4,6,3,2,7,8,1]=>[4,5,3,6,7,2,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,5,6,3,2,7,8,1]=>[5,4,3,6,7,2,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,3,4,2,7,8,1]=>[4,3,6,5,7,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,4,5,2,7,8,1]=>[3,6,5,4,7,2,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,3,6,2,7,8,1]=>[5,4,6,3,7,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,4,6,2,7,8,1]=>[4,6,5,3,7,2,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,5,6,2,7,8,1]=>[5,6,4,3,7,2,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,5,6,2,7,8,1]=>[6,5,4,3,7,2,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,6,4,2,3,7,8,1]=>[4,3,5,7,6,2,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,4,5,2,3,7,8,1]=>[3,5,4,7,6,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,4,6,2,3,7,8,1]=>[4,5,3,7,6,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,5,6,2,3,7,8,1]=>[5,4,3,7,6,2,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,2,3,4,7,8,1]=>[4,3,7,6,5,2,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,2,3,4,5,7,8,1]=>[3,7,6,5,4,2,1,8]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,5,3,2,6,7,8,1]=>[5,4,6,7,3,2,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,3,4,2,6,7,8,1]=>[4,6,5,7,3,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,3,5,2,6,7,8,1]=>[5,6,4,7,3,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,2,3,6,7,8,1]=>[5,4,7,6,3,2,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [8,6,7,5,4,3,1,2]=>[1,3,2,4,5,6,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,6,8,5,4,3,1,2]=>[2,3,1,4,5,6,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,7,8,5,4,3,1,2]=>[3,2,1,4,5,6,8,7]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,8,5,6,4,3,1,2]=>[2,1,4,3,5,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,5,6,7,4,3,1,2]=>[1,4,3,2,5,6,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,5,8,4,3,1,2]=>[3,2,4,1,5,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,6,8,4,3,1,2]=>[2,4,3,1,5,6,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,5,7,8,4,3,1,2]=>[3,4,2,1,5,6,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,7,8,4,3,1,2]=>[4,3,2,1,5,6,8,7]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,6,7,4,5,3,1,2]=>[1,3,2,5,4,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,7,8,4,5,3,1,2]=>[3,2,1,5,4,6,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,5,4,6,3,1,2]=>[2,1,4,5,3,6,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,4,5,6,3,1,2]=>[2,1,5,4,3,6,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,5,6,4,7,3,1,2]=>[1,4,3,5,2,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,5,6,7,3,1,2]=>[1,5,4,3,2,6,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,5,4,8,3,1,2]=>[3,2,4,5,1,6,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,6,4,8,3,1,2]=>[2,4,3,5,1,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,5,7,4,8,3,1,2]=>[3,4,2,5,1,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,7,4,8,3,1,2]=>[4,3,2,5,1,6,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,5,8,3,1,2]=>[3,2,5,4,1,6,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,4,5,6,8,3,1,2]=>[2,5,4,3,1,6,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,7,8,3,1,2]=>[4,3,5,2,1,6,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,4,6,7,8,3,1,2]=>[4,5,3,2,1,6,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,6,7,8,3,1,2]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [7,8,6,5,3,4,1,2]=>[2,1,3,4,6,5,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,6,7,5,3,4,1,2]=>[1,3,2,4,6,5,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,6,8,5,3,4,1,2]=>[2,3,1,4,6,5,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,8,5,3,4,1,2]=>[3,2,1,4,6,5,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,6,7,3,4,1,2]=>[1,4,3,2,6,5,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,8,3,4,1,2]=>[3,2,4,1,6,5,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,6,8,3,4,1,2]=>[2,4,3,1,6,5,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,8,3,4,1,2]=>[3,4,2,1,6,5,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,8,6,4,3,5,1,2]=>[2,1,3,5,6,4,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,6,7,4,3,5,1,2]=>[1,3,2,5,6,4,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,8,4,3,5,1,2]=>[3,2,1,5,6,4,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,6,7,3,4,5,1,2]=>[1,3,2,6,5,4,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,6,8,3,4,5,1,2]=>[2,3,1,6,5,4,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,8,3,4,5,1,2]=>[3,2,1,6,5,4,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,4,5,3,6,1,2]=>[2,1,5,4,6,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,5,3,4,6,1,2]=>[2,1,4,6,5,3,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,4,5,3,6,7,1,2]=>[1,5,4,6,3,2,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,4,5,6,7,1,2]=>[1,6,5,4,3,2,8,7]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,5,6,4,3,8,1,2]=>[2,4,3,5,6,1,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,5,7,4,3,8,1,2]=>[3,4,2,5,6,1,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,7,4,3,8,1,2]=>[4,3,2,5,6,1,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,5,3,8,1,2]=>[3,2,5,4,6,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,6,3,8,1,2]=>[2,5,4,3,6,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,7,3,8,1,2]=>[4,3,5,2,6,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,7,3,8,1,2]=>[3,5,4,2,6,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,7,3,8,1,2]=>[4,5,3,2,6,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,6,7,3,8,1,2]=>[5,4,3,2,6,1,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,7,5,3,4,8,1,2]=>[3,2,4,6,5,1,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,6,3,4,8,1,2]=>[2,4,3,6,5,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,7,3,4,8,1,2]=>[3,4,2,6,5,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,7,3,4,8,1,2]=>[4,3,2,6,5,1,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,4,3,5,8,1,2]=>[3,2,5,6,4,1,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,4,5,8,1,2]=>[3,2,6,5,4,1,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,4,5,3,6,8,1,2]=>[2,5,4,6,3,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,4,5,6,8,1,2]=>[2,6,5,4,3,1,8,7]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,4,3,7,8,1,2]=>[4,3,5,6,2,1,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,5,3,7,8,1,2]=>[3,5,4,6,2,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,6,3,7,8,1,2]=>[4,5,3,6,2,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,6,3,7,8,1,2]=>[5,4,3,6,2,1,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,3,4,7,8,1,2]=>[4,3,6,5,2,1,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,3,4,5,7,8,1,2]=>[3,6,5,4,2,1,8,7]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,5,3,6,7,8,1,2]=>[5,4,6,3,2,1,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,6,7,8,1,2]=>[4,6,5,3,2,1,8,7]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,6,7,8,1,2]=>[5,6,4,3,2,1,8,7]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [7,8,6,5,4,2,1,3]=>[2,1,3,4,5,7,8,6]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [8,6,7,5,4,2,1,3]=>[1,3,2,4,5,7,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,7,8,5,4,2,1,3]=>[3,2,1,4,5,7,8,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,8,5,6,4,2,1,3]=>[2,1,4,3,5,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,5,6,7,4,2,1,3]=>[1,4,3,2,5,7,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,5,8,4,2,1,3]=>[3,2,4,1,5,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,6,8,4,2,1,3]=>[2,4,3,1,5,7,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,7,8,4,2,1,3]=>[4,3,2,1,5,7,8,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [7,8,6,4,5,2,1,3]=>[2,1,3,5,4,7,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,6,8,4,5,2,1,3]=>[2,3,1,5,4,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,7,8,4,5,2,1,3]=>[3,2,1,5,4,7,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,5,4,6,2,1,3]=>[2,1,4,5,3,7,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,4,5,6,2,1,3]=>[2,1,5,4,3,7,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,5,6,4,7,2,1,3]=>[1,4,3,5,2,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,5,6,7,2,1,3]=>[1,5,4,3,2,7,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,5,4,8,2,1,3]=>[3,2,4,5,1,7,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,6,4,8,2,1,3]=>[2,4,3,5,1,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,5,7,4,8,2,1,3]=>[3,4,2,5,1,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,7,4,8,2,1,3]=>[4,3,2,5,1,7,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,5,8,2,1,3]=>[3,2,5,4,1,7,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,4,5,6,8,2,1,3]=>[2,5,4,3,1,7,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,7,8,2,1,3]=>[4,3,5,2,1,7,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,7,8,2,1,3]=>[3,5,4,2,1,7,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,4,6,7,8,2,1,3]=>[4,5,3,2,1,7,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,6,7,8,2,1,3]=>[5,4,3,2,1,7,8,6]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [7,8,6,5,4,1,2,3]=>[2,1,3,4,5,8,7,6]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,6,7,5,4,1,2,3]=>[1,3,2,4,5,8,7,6]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,6,8,5,4,1,2,3]=>[2,3,1,4,5,8,7,6]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,5,6,4,1,2,3]=>[2,1,4,3,5,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,6,7,4,1,2,3]=>[1,4,3,2,5,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,5,8,4,1,2,3]=>[3,2,4,1,5,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,6,8,4,1,2,3]=>[2,4,3,1,5,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,7,8,4,1,2,3]=>[3,4,2,1,5,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,7,8,4,1,2,3]=>[4,3,2,1,5,8,7,6]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,8,6,4,5,1,2,3]=>[2,1,3,5,4,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,8,4,5,1,2,3]=>[3,2,1,5,4,8,7,6]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,5,4,6,1,2,3]=>[2,1,4,5,3,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,4,5,6,1,2,3]=>[2,1,5,4,3,8,7,6]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,5,6,4,7,1,2,3]=>[1,4,3,5,2,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,5,6,7,1,2,3]=>[1,5,4,3,2,8,7,6]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,5,4,8,1,2,3]=>[3,2,4,5,1,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,6,4,8,1,2,3]=>[2,4,3,5,1,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,7,4,8,1,2,3]=>[3,4,2,5,1,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,7,4,8,1,2,3]=>[4,3,2,5,1,8,7,6]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,4,5,6,8,1,2,3]=>[2,5,4,3,1,8,7,6]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,4,7,8,1,2,3]=>[4,3,5,2,1,8,7,6]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,4,5,7,8,1,2,3]=>[3,5,4,2,1,8,7,6]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,4,6,7,8,1,2,3]=>[4,5,3,2,1,8,7,6]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,6,8,5,3,2,1,4]=>[2,3,1,4,6,7,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,7,8,5,3,2,1,4]=>[3,2,1,4,6,7,8,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,8,5,6,3,2,1,4]=>[2,1,4,3,6,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,5,6,7,3,2,1,4]=>[1,4,3,2,6,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,5,8,3,2,1,4]=>[3,2,4,1,6,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,6,8,3,2,1,4]=>[2,4,3,1,6,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,5,7,8,3,2,1,4]=>[3,4,2,1,6,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,7,8,3,2,1,4]=>[4,3,2,1,6,7,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [7,8,6,5,2,3,1,4]=>[2,1,3,4,7,6,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,6,7,5,2,3,1,4]=>[1,3,2,4,7,6,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,6,8,5,2,3,1,4]=>[2,3,1,4,7,6,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,5,6,2,3,1,4]=>[2,1,4,3,7,6,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,6,7,2,3,1,4]=>[1,4,3,2,7,6,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,8,2,3,1,4]=>[3,2,4,1,7,6,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,8,2,3,1,4]=>[3,4,2,1,7,6,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,7,8,2,3,1,4]=>[4,3,2,1,7,6,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,8,6,5,3,1,2,4]=>[2,1,3,4,6,8,7,5]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,6,7,5,3,1,2,4]=>[1,3,2,4,6,8,7,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,6,8,5,3,1,2,4]=>[2,3,1,4,6,8,7,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,7,8,5,3,1,2,4]=>[3,2,1,4,6,8,7,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,5,6,3,1,2,4]=>[2,1,4,3,6,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,6,7,3,1,2,4]=>[1,4,3,2,6,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,6,8,3,1,2,4]=>[2,4,3,1,6,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,7,8,3,1,2,4]=>[3,4,2,1,6,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,7,8,3,1,2,4]=>[4,3,2,1,6,8,7,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,8,6,5,2,1,3,4]=>[2,1,3,4,7,8,6,5]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,6,7,5,2,1,3,4]=>[1,3,2,4,7,8,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,6,8,5,2,1,3,4]=>[2,3,1,4,7,8,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,7,8,5,2,1,3,4]=>[3,2,1,4,7,8,6,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,5,6,2,1,3,4]=>[2,1,4,3,7,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,6,7,2,1,3,4]=>[1,4,3,2,7,8,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,5,8,2,1,3,4]=>[3,2,4,1,7,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,6,8,2,1,3,4]=>[2,4,3,1,7,8,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,7,8,2,1,3,4]=>[4,3,2,1,7,8,6,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,8,6,5,1,2,3,4]=>[2,1,3,4,8,7,6,5]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,6,7,5,1,2,3,4]=>[1,3,2,4,8,7,6,5]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,6,8,5,1,2,3,4]=>[2,3,1,4,8,7,6,5]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,7,8,5,1,2,3,4]=>[3,2,1,4,8,7,6,5]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,5,6,7,1,2,3,4]=>[1,4,3,2,8,7,6,5]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,5,8,1,2,3,4]=>[3,2,4,1,8,7,6,5]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [7,8,6,4,3,2,1,5]=>[2,1,3,5,6,7,8,4]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [8,6,7,4,3,2,1,5]=>[1,3,2,5,6,7,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,7,8,4,3,2,1,5]=>[3,2,1,5,6,7,8,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,8,6,3,4,2,1,5]=>[2,1,3,6,5,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,6,7,3,4,2,1,5]=>[1,3,2,6,5,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,6,8,3,4,2,1,5]=>[2,3,1,6,5,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,7,8,3,4,2,1,5]=>[3,2,1,6,5,7,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,6,4,2,3,1,5]=>[2,1,3,5,7,6,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,6,7,4,2,3,1,5]=>[1,3,2,5,7,6,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,6,8,4,2,3,1,5]=>[2,3,1,5,7,6,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,8,4,2,3,1,5]=>[3,2,1,5,7,6,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,8,6,3,2,4,1,5]=>[2,1,3,6,7,5,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,6,7,3,2,4,1,5]=>[1,3,2,6,7,5,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,6,8,3,2,4,1,5]=>[2,3,1,6,7,5,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,8,3,2,4,1,5]=>[3,2,1,6,7,5,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,8,6,2,3,4,1,5]=>[2,1,3,7,6,5,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,6,7,2,3,4,1,5]=>[1,3,2,7,6,5,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,6,8,2,3,4,1,5]=>[2,3,1,7,6,5,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,8,2,3,4,1,5]=>[3,2,1,7,6,5,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,6,4,3,1,2,5]=>[2,1,3,5,6,8,7,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,6,7,4,3,1,2,5]=>[1,3,2,5,6,8,7,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,6,8,4,3,1,2,5]=>[2,3,1,5,6,8,7,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,7,8,4,3,1,2,5]=>[3,2,1,5,6,8,7,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,6,3,4,1,2,5]=>[2,1,3,6,5,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,8,3,4,1,2,5]=>[3,2,1,6,5,8,7,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,6,4,2,1,3,5]=>[2,1,3,5,7,8,6,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,6,7,4,2,1,3,5]=>[1,3,2,5,7,8,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,6,8,4,2,1,3,5]=>[2,3,1,5,7,8,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,7,8,4,2,1,3,5]=>[3,2,1,5,7,8,6,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,6,4,1,2,3,5]=>[2,1,3,5,8,7,6,4]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,6,7,4,1,2,3,5]=>[1,3,2,5,8,7,6,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,6,8,4,1,2,3,5]=>[2,3,1,5,8,7,6,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,7,8,4,1,2,3,5]=>[3,2,1,5,8,7,6,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,8,6,3,2,1,4,5]=>[2,1,3,6,7,8,5,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,6,7,3,2,1,4,5]=>[1,3,2,6,7,8,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,6,8,3,2,1,4,5]=>[2,3,1,6,7,8,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,7,8,3,2,1,4,5]=>[3,2,1,6,7,8,5,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,6,2,3,1,4,5]=>[2,1,3,7,6,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,6,7,2,3,1,4,5]=>[1,3,2,7,6,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,6,8,2,3,1,4,5]=>[2,3,1,7,6,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,8,2,3,1,4,5]=>[3,2,1,7,6,8,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,6,3,1,2,4,5]=>[2,1,3,6,8,7,5,4]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,6,8,3,1,2,4,5]=>[2,3,1,6,8,7,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,7,8,3,1,2,4,5]=>[3,2,1,6,8,7,5,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,5,4]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,6,7,2,1,3,4,5]=>[1,3,2,7,8,6,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,6,8,2,1,3,4,5]=>[2,3,1,7,8,6,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,7,8,2,1,3,4,5]=>[3,2,1,7,8,6,5,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,8,6,1,2,3,4,5]=>[2,1,3,8,7,6,5,4]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [8,6,7,1,2,3,4,5]=>[1,3,2,8,7,6,5,4]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,6,8,1,2,3,4,5]=>[2,3,1,8,7,6,5,4]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [7,8,5,4,3,2,1,6]=>[2,1,4,5,6,7,8,3]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,8,4,5,3,2,1,6]=>[2,1,5,4,6,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,5,3,4,2,1,6]=>[2,1,4,6,5,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,4,3,5,2,1,6]=>[2,1,5,6,4,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,3,4,5,2,1,6]=>[2,1,6,5,4,7,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,5,4,2,3,1,6]=>[2,1,4,5,7,6,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,4,5,2,3,1,6]=>[2,1,5,4,7,6,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,5,3,2,4,1,6]=>[2,1,4,6,7,5,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,5,2,3,4,1,6]=>[2,1,4,7,6,5,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,3,2,5,1,6]=>[2,1,5,6,7,4,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,3,4,2,5,1,6]=>[2,1,6,5,7,4,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,2,3,5,1,6]=>[2,1,5,7,6,4,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,3,2,4,5,1,6]=>[2,1,6,7,5,4,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,2,3,4,5,1,6]=>[2,1,7,6,5,4,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,8,5,4,3,1,2,6]=>[2,1,4,5,6,8,7,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,8,4,5,3,1,2,6]=>[2,1,5,4,6,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,5,3,4,1,2,6]=>[2,1,4,6,5,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,4,3,5,1,2,6]=>[2,1,5,6,4,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,3,4,5,1,2,6]=>[2,1,6,5,4,8,7,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,5,4,2,1,3,6]=>[2,1,4,5,7,8,6,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,8,4,5,2,1,3,6]=>[2,1,5,4,7,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,5,4,1,2,3,6]=>[2,1,4,5,8,7,6,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,8,4,5,1,2,3,6]=>[2,1,5,4,8,7,6,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,5,3,2,1,4,6]=>[2,1,4,6,7,8,5,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,8,5,2,3,1,4,6]=>[2,1,4,7,6,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,5,3,1,2,4,6]=>[2,1,4,6,8,7,5,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,8,5,2,1,3,4,6]=>[2,1,4,7,8,6,5,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,8,5,1,2,3,4,6]=>[2,1,4,8,7,6,5,3]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,8,4,3,2,1,5,6]=>[2,1,5,6,7,8,4,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,8,3,4,2,1,5,6]=>[2,1,6,5,7,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,4,2,3,1,5,6]=>[2,1,5,7,6,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,3,2,4,1,5,6]=>[2,1,6,7,5,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,2,3,4,1,5,6]=>[2,1,7,6,5,8,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,4,3,1,2,5,6]=>[2,1,5,6,8,7,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,8,3,4,1,2,5,6]=>[2,1,6,5,8,7,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,4,2,1,3,5,6]=>[2,1,5,7,8,6,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,8,4,1,2,3,5,6]=>[2,1,5,8,7,6,4,3]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,8,3,2,1,4,5,6]=>[2,1,6,7,8,5,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,8,2,3,1,4,5,6]=>[2,1,7,6,8,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,3,1,2,4,5,6]=>[2,1,6,8,7,5,4,3]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,8,2,1,3,4,5,6]=>[2,1,7,8,6,5,4,3]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [8,5,6,4,3,2,1,7]=>[1,4,3,5,6,7,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,4,5,6,3,2,1,7]=>[1,5,4,3,6,7,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,5,6,3,4,2,1,7]=>[1,4,3,6,5,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,5,3,6,2,1,7]=>[1,5,4,6,3,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,4,5,6,2,1,7]=>[1,6,5,4,3,7,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,5,6,4,2,3,1,7]=>[1,4,3,5,7,6,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,5,6,2,3,1,7]=>[1,5,4,3,7,6,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,6,3,2,4,1,7]=>[1,4,3,6,7,5,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,5,3,2,6,1,7]=>[1,5,4,6,7,3,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,4,5,2,6,1,7]=>[1,6,5,4,7,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,5,2,3,6,1,7]=>[1,5,4,7,6,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,4,2,5,6,1,7]=>[1,6,5,7,4,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,3,4,5,6,1,7]=>[1,7,6,5,4,3,8,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,5,6,4,3,1,2,7]=>[1,4,3,5,6,8,7,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,4,5,6,3,1,2,7]=>[1,5,4,3,6,8,7,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,6,3,4,1,2,7]=>[1,4,3,6,5,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,5,3,6,1,2,7]=>[1,5,4,6,3,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,4,5,6,1,2,7]=>[1,6,5,4,3,8,7,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,5,6,4,2,1,3,7]=>[1,4,3,5,7,8,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,4,5,6,2,1,3,7]=>[1,5,4,3,7,8,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,6,4,1,2,3,7]=>[1,4,3,5,8,7,6,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,4,5,6,1,2,3,7]=>[1,5,4,3,8,7,6,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,5,6,3,2,1,4,7]=>[1,4,3,6,7,8,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,5,6,2,3,1,4,7]=>[1,4,3,7,6,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,5,6,3,1,2,4,7]=>[1,4,3,6,8,7,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,5,6,2,1,3,4,7]=>[1,4,3,7,8,6,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,5,6,1,2,3,4,7]=>[1,4,3,8,7,6,5,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,4,5,3,2,1,6,7]=>[1,5,4,6,7,8,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,3,4,5,2,1,6,7]=>[1,6,5,4,7,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,5,2,3,1,6,7]=>[1,5,4,7,6,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,4,2,5,1,6,7]=>[1,6,5,7,4,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,3,4,5,1,6,7]=>[1,7,6,5,4,8,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,3,4,5,1,2,6,7]=>[1,6,5,4,8,7,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,4,5,2,1,3,6,7]=>[1,5,4,7,8,6,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,4,5,1,2,3,6,7]=>[1,5,4,8,7,6,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,3,4,2,1,5,6,7]=>[1,6,5,7,8,4,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,3,4,1,2,5,6,7]=>[1,6,5,8,7,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [6,7,5,4,3,2,1,8]=>[3,2,4,5,6,7,8,1]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,5,7,4,3,2,1,8]=>[3,4,2,5,6,7,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,6,7,4,3,2,1,8]=>[4,3,2,5,6,7,8,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,7,4,5,3,2,1,8]=>[3,2,5,4,6,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,5,6,3,2,1,8]=>[2,5,4,3,6,7,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,4,7,3,2,1,8]=>[4,3,5,2,6,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,5,7,3,2,1,8]=>[3,5,4,2,6,7,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,6,7,3,2,1,8]=>[4,5,3,2,6,7,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [7,5,6,3,4,2,1,8]=>[2,4,3,6,5,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,5,7,3,4,2,1,8]=>[3,4,2,6,5,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,7,3,4,2,1,8]=>[4,3,2,6,5,7,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,3,5,2,1,8]=>[3,2,5,6,4,7,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,5,3,6,2,1,8]=>[2,5,4,6,3,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,4,5,6,2,1,8]=>[2,6,5,4,3,7,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,3,7,2,1,8]=>[4,3,5,6,2,7,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,3,7,2,1,8]=>[3,5,4,6,2,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,6,3,7,2,1,8]=>[4,5,3,6,2,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,6,3,7,2,1,8]=>[5,4,3,6,2,7,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,4,7,2,1,8]=>[4,3,6,5,2,7,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,5,7,2,1,8]=>[3,6,5,4,2,7,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,3,6,7,2,1,8]=>[5,4,6,3,2,7,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,4,6,7,2,1,8]=>[4,6,5,3,2,7,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [6,7,5,4,2,3,1,8]=>[3,2,4,5,7,6,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,5,7,4,2,3,1,8]=>[3,4,2,5,7,6,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,7,4,2,3,1,8]=>[4,3,2,5,7,6,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,5,2,3,1,8]=>[3,2,5,4,7,6,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,6,2,3,1,8]=>[2,5,4,3,7,6,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,7,2,3,1,8]=>[4,3,5,2,7,6,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,7,2,3,1,8]=>[3,5,4,2,7,6,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,7,2,3,1,8]=>[4,5,3,2,7,6,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,6,7,2,3,1,8]=>[5,4,3,2,7,6,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,7,5,3,2,4,1,8]=>[3,2,4,6,7,5,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,6,3,2,4,1,8]=>[2,4,3,6,7,5,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,5,7,3,2,4,1,8]=>[3,4,2,6,7,5,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,7,3,2,4,1,8]=>[4,3,2,6,7,5,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,5,2,3,4,1,8]=>[3,2,4,7,6,5,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,6,2,3,4,1,8]=>[2,4,3,7,6,5,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,7,2,3,4,1,8]=>[3,4,2,7,6,5,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,7,2,3,4,1,8]=>[4,3,2,7,6,5,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,4,3,2,5,1,8]=>[3,2,5,6,7,4,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,7,3,4,2,5,1,8]=>[3,2,6,5,7,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,4,2,3,5,1,8]=>[3,2,5,7,6,4,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,2,4,5,1,8]=>[3,2,6,7,5,4,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,2,3,4,5,1,8]=>[3,2,7,6,5,4,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,4,5,3,2,6,1,8]=>[2,5,4,6,7,3,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,4,2,5,6,1,8]=>[2,6,5,7,4,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,4,5,3,2,7,1,8]=>[3,5,4,6,7,2,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,6,3,2,7,1,8]=>[4,5,3,6,7,2,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,6,3,2,7,1,8]=>[5,4,3,6,7,2,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,3,4,2,7,1,8]=>[4,3,6,5,7,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,5,2,7,1,8]=>[3,6,5,4,7,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,6,2,7,1,8]=>[5,4,6,3,7,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,6,2,7,1,8]=>[4,6,5,3,7,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,6,2,7,1,8]=>[5,6,4,3,7,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,5,6,2,7,1,8]=>[6,5,4,3,7,2,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,4,2,3,7,1,8]=>[4,3,5,7,6,2,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,5,2,3,7,1,8]=>[3,5,4,7,6,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,6,2,3,7,1,8]=>[4,5,3,7,6,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,6,2,3,7,1,8]=>[5,4,3,7,6,2,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,3,2,4,7,1,8]=>[4,3,6,7,5,2,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,3,4,7,1,8]=>[4,3,7,6,5,2,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,3,4,2,5,7,1,8]=>[3,6,5,7,4,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,3,4,5,7,1,8]=>[3,7,6,5,4,2,8,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,5,3,2,6,7,1,8]=>[5,4,6,7,3,2,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,2,6,7,1,8]=>[4,6,5,7,3,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,5,2,6,7,1,8]=>[5,6,4,7,3,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,5,2,6,7,1,8]=>[6,5,4,7,3,2,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,2,3,6,7,1,8]=>[5,4,7,6,3,2,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,4,6,7,1,8]=>[4,7,6,5,3,2,8,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,2,5,6,7,1,8]=>[6,5,7,4,3,2,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,2,3,5,6,7,1,8]=>[5,7,6,4,3,2,8,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,5,6,7,1,8]=>[6,7,5,4,3,2,8,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,4,5,6,7,1,8]=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,5,6,4,3,1,2,8]=>[2,4,3,5,6,8,7,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,5,7,4,3,1,2,8]=>[3,4,2,5,6,8,7,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,6,7,4,3,1,2,8]=>[4,3,2,5,6,8,7,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,4,5,3,1,2,8]=>[3,2,5,4,6,8,7,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,5,6,3,1,2,8]=>[2,5,4,3,6,8,7,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,4,7,3,1,2,8]=>[4,3,5,2,6,8,7,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,5,7,3,1,2,8]=>[3,5,4,2,6,8,7,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,6,7,3,1,2,8]=>[4,5,3,2,6,8,7,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,6,7,3,1,2,8]=>[5,4,3,2,6,8,7,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [6,7,5,3,4,1,2,8]=>[3,2,4,6,5,8,7,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,6,3,4,1,2,8]=>[2,4,3,6,5,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,7,3,4,1,2,8]=>[3,4,2,6,5,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,7,3,4,1,2,8]=>[4,3,2,6,5,8,7,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,4,5,6,1,2,8]=>[2,6,5,4,3,8,7,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,4,5,3,7,1,2,8]=>[3,5,4,6,2,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,6,3,7,1,2,8]=>[4,5,3,6,2,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,5,6,3,7,1,2,8]=>[5,4,3,6,2,8,7,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,3,4,7,1,2,8]=>[4,3,6,5,2,8,7,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,3,4,5,7,1,2,8]=>[3,6,5,4,2,8,7,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,3,6,7,1,2,8]=>[5,4,6,3,2,8,7,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,6,7,1,2,8]=>[4,6,5,3,2,8,7,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,5,6,7,1,2,8]=>[5,6,4,3,2,8,7,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,5,6,7,1,2,8]=>[6,5,4,3,2,8,7,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [6,7,5,4,2,1,3,8]=>[3,2,4,5,7,8,6,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,5,6,4,2,1,3,8]=>[2,4,3,5,7,8,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,6,7,4,2,1,3,8]=>[4,3,2,5,7,8,6,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,4,5,2,1,3,8]=>[3,2,5,4,7,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,5,6,2,1,3,8]=>[2,5,4,3,7,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,6,7,2,1,3,8]=>[4,5,3,2,7,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,6,7,2,1,3,8]=>[5,4,3,2,7,8,6,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,5,6,4,1,2,3,8]=>[2,4,3,5,8,7,6,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,5,7,4,1,2,3,8]=>[3,4,2,5,8,7,6,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,4,5,6,1,2,3,8]=>[2,5,4,3,8,7,6,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,4,6,7,1,2,3,8]=>[4,5,3,2,8,7,6,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,6,7,1,2,3,8]=>[5,4,3,2,8,7,6,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [6,7,5,3,2,1,4,8]=>[3,2,4,6,7,8,5,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,5,6,3,2,1,4,8]=>[2,4,3,6,7,8,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,5,7,3,2,1,4,8]=>[3,4,2,6,7,8,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,6,7,3,2,1,4,8]=>[4,3,2,6,7,8,5,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,5,2,3,1,4,8]=>[3,2,4,7,6,8,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,6,2,3,1,4,8]=>[2,4,3,7,6,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,7,2,3,1,4,8]=>[3,4,2,7,6,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,6,3,1,2,4,8]=>[2,4,3,6,8,7,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,5,7,3,1,2,4,8]=>[3,4,2,6,8,7,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,6,7,3,1,2,4,8]=>[4,3,2,6,8,7,5,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,7,5,2,1,3,4,8]=>[3,2,4,7,8,6,5,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,5,6,2,1,3,4,8]=>[2,4,3,7,8,6,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,5,7,2,1,3,4,8]=>[3,4,2,7,8,6,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,6,7,2,1,3,4,8]=>[4,3,2,7,8,6,5,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,7,5,1,2,3,4,8]=>[3,2,4,8,7,6,5,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,5,6,1,2,3,4,8]=>[2,4,3,8,7,6,5,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,5,7,1,2,3,4,8]=>[3,4,2,8,7,6,5,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,4,3,2,1,5,8]=>[3,2,5,6,7,8,4,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,7,3,4,2,1,5,8]=>[3,2,6,5,7,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,4,2,3,1,5,8]=>[3,2,5,7,6,8,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,3,2,4,1,5,8]=>[3,2,6,7,5,8,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,3,4,1,5,8]=>[3,2,7,6,5,8,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,4,3,1,2,5,8]=>[3,2,5,6,8,7,4,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,7,3,4,1,2,5,8]=>[3,2,6,5,8,7,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,4,2,1,3,5,8]=>[3,2,5,7,8,6,4,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,7,4,1,2,3,5,8]=>[3,2,5,8,7,6,4,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,2,3,1,4,5,8]=>[3,2,7,6,8,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,3,1,2,4,5,8]=>[3,2,6,8,7,5,4,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,2,1,3,4,5,8]=>[3,2,7,8,6,5,4,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [7,4,5,3,2,1,6,8]=>[2,5,4,6,7,8,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,3,4,5,2,1,6,8]=>[2,6,5,4,7,8,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,5,2,3,1,6,8]=>[2,5,4,7,6,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,4,2,5,1,6,8]=>[2,6,5,7,4,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,3,4,5,1,6,8]=>[2,7,6,5,4,8,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,4,5,1,2,6,8]=>[2,6,5,4,8,7,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,4,5,2,1,3,6,8]=>[2,5,4,7,8,6,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,4,5,1,2,3,6,8]=>[2,5,4,8,7,6,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,3,4,2,1,5,6,8]=>[2,6,5,7,8,4,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,2,3,4,1,5,6,8]=>[2,7,6,5,8,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,3,4,1,2,5,6,8]=>[2,6,5,8,7,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,2,3,1,4,5,6,8]=>[2,7,6,8,5,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [5,6,4,3,2,1,7,8]=>[4,3,5,6,7,8,2,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,4,5,3,2,1,7,8]=>[3,5,4,6,7,8,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,4,6,3,2,1,7,8]=>[4,5,3,6,7,8,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,5,6,3,2,1,7,8]=>[5,4,3,6,7,8,2,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,3,4,2,1,7,8]=>[4,3,6,5,7,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,4,5,2,1,7,8]=>[3,6,5,4,7,8,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,3,6,2,1,7,8]=>[5,4,6,3,7,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,4,6,2,1,7,8]=>[4,6,5,3,7,8,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,5,6,2,1,7,8]=>[5,6,4,3,7,8,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,5,6,2,1,7,8]=>[6,5,4,3,7,8,2,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,4,2,3,1,7,8]=>[4,3,5,7,6,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,6,2,3,1,7,8]=>[4,5,3,7,6,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,5,6,2,3,1,7,8]=>[5,4,3,7,6,8,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,3,2,4,1,7,8]=>[4,3,6,7,5,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,3,4,1,7,8]=>[4,3,7,6,5,8,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,3,4,2,5,1,7,8]=>[3,6,5,7,4,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,3,2,6,1,7,8]=>[5,4,6,7,3,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,2,6,1,7,8]=>[4,6,5,7,3,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,3,5,2,6,1,7,8]=>[5,6,4,7,3,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,5,2,6,1,7,8]=>[6,5,4,7,3,8,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,2,3,6,1,7,8]=>[5,4,7,6,3,8,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,4,6,1,7,8]=>[4,7,6,5,3,8,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,2,5,6,1,7,8]=>[6,5,7,4,3,8,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,3,5,6,1,7,8]=>[5,7,6,4,3,8,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,5,6,1,7,8]=>[6,7,5,4,3,8,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,4,5,6,1,7,8]=>[7,6,5,4,3,8,2,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,4,5,3,1,2,7,8]=>[3,5,4,6,8,7,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,4,6,3,1,2,7,8]=>[4,5,3,6,8,7,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,5,6,3,1,2,7,8]=>[5,4,3,6,8,7,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,4,5,1,2,7,8]=>[3,6,5,4,8,7,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,3,6,1,2,7,8]=>[5,4,6,3,8,7,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,4,6,1,2,7,8]=>[4,6,5,3,8,7,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,5,6,1,2,7,8]=>[5,6,4,3,8,7,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,5,6,1,2,7,8]=>[6,5,4,3,8,7,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [5,6,4,2,1,3,7,8]=>[4,3,5,7,8,6,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,4,5,2,1,3,7,8]=>[3,5,4,7,8,6,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,5,6,2,1,3,7,8]=>[5,4,3,7,8,6,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,6,4,1,2,3,7,8]=>[4,3,5,8,7,6,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,4,5,1,2,3,7,8]=>[3,5,4,8,7,6,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,4,6,1,2,3,7,8]=>[4,5,3,8,7,6,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,5,6,1,2,3,7,8]=>[5,4,3,8,7,6,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [5,6,3,2,1,4,7,8]=>[4,3,6,7,8,5,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,6,2,3,1,4,7,8]=>[4,3,7,6,8,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,6,3,1,2,4,7,8]=>[4,3,6,8,7,5,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,6,2,1,3,4,7,8]=>[4,3,7,8,6,5,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,6,1,2,3,4,7,8]=>[4,3,8,7,6,5,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [6,3,4,2,1,5,7,8]=>[3,6,5,7,8,4,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,2,3,4,1,5,7,8]=>[3,7,6,5,8,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,4,1,2,5,7,8]=>[3,6,5,8,7,4,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,2,3,1,4,5,7,8]=>[3,7,6,8,5,4,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>[2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,3,4,2,1,6,7,8]=>[4,6,5,7,8,3,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,5,2,3,1,6,7,8]=>[5,4,7,6,8,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,3,5,1,6,7,8]=>[5,7,6,4,8,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,4,5,1,6,7,8]=>[6,7,5,4,8,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,5,3,1,2,6,7,8]=>[5,4,6,8,7,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,3,4,1,2,6,7,8]=>[4,6,5,8,7,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,3,5,1,2,6,7,8]=>[5,6,4,8,7,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,4,5,1,2,6,7,8]=>[6,5,4,8,7,3,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,5,2,1,3,6,7,8]=>[5,4,7,8,6,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,5,1,2,3,6,7,8]=>[5,4,8,7,6,3,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [5,2,3,1,4,6,7,8]=>[4,7,6,8,5,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [3,4,2,1,5,6,7,8]=>[6,5,7,8,4,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,3,1,4,5,6,7,8]=>[7,6,8,5,4,3,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [6,8,7,5,4,3,2,1]=>[3,1,2,4,5,6,7,8]=>[1,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,8,7,6,4,3,2,1]=>[4,1,2,3,5,6,7,8]=>[1,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,8,6,4,3,2,1]=>[4,2,1,3,5,6,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,8,7,4,3,2,1]=>[3,4,1,2,5,6,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [5,6,8,7,4,3,2,1]=>[4,3,1,2,5,6,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,7,6,8,4,3,2,1]=>[4,2,3,1,5,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>[1,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,7,8,6,5,3,2,1]=>[5,2,1,3,4,6,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,6,8,7,5,3,2,1]=>[5,3,1,2,4,6,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,7,6,8,5,3,2,1]=>[5,2,3,1,4,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,6,7,8,5,3,2,1]=>[5,3,2,1,4,6,7,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,4,8,7,6,3,2,1]=>[4,5,1,2,3,6,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [4,5,8,7,6,3,2,1]=>[5,4,1,2,3,6,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,5,7,8,6,3,2,1]=>[5,4,2,1,3,6,7,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,6,5,8,7,3,2,1]=>[5,3,4,1,2,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,4,6,8,7,3,2,1]=>[4,5,3,1,2,6,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,5,6,8,7,3,2,1]=>[5,4,3,1,2,6,7,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,7,6,4,8,3,2,1]=>[4,2,3,5,1,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,6,5,8,3,2,1]=>[5,2,3,4,1,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,7,5,8,3,2,1]=>[5,3,2,4,1,6,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,4,7,6,8,3,2,1]=>[4,5,2,3,1,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,5,7,6,8,3,2,1]=>[5,4,2,3,1,6,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,5,7,8,3,2,1]=>[5,3,4,2,1,6,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,8,7,6,5,4,2,1]=>[6,1,2,3,4,5,7,8]=>[1,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,7,8,6,5,4,2,1]=>[6,2,1,3,4,5,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,6,8,7,5,4,2,1]=>[6,3,1,2,4,5,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,7,6,8,5,4,2,1]=>[6,2,3,1,4,5,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,6,7,8,5,4,2,1]=>[6,3,2,1,4,5,7,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,5,8,7,6,4,2,1]=>[6,4,1,2,3,5,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,5,7,8,6,4,2,1]=>[6,4,2,1,3,5,7,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,5,6,8,7,4,2,1]=>[6,4,3,1,2,5,7,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,7,6,5,8,4,2,1]=>[6,2,3,4,1,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,7,5,8,4,2,1]=>[6,3,2,4,1,5,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,5,7,8,4,2,1]=>[6,3,4,2,1,5,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,6,7,8,4,2,1]=>[6,4,3,2,1,5,7,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [4,3,8,7,6,5,2,1]=>[5,6,1,2,3,4,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [4,3,6,8,7,5,2,1]=>[5,6,3,1,2,4,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,3,7,6,8,5,2,1]=>[5,6,2,3,1,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,3,6,7,8,5,2,1]=>[5,6,3,2,1,4,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,8,7,6,5,2,1]=>[6,5,1,2,3,4,7,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,4,7,8,6,5,2,1]=>[6,5,2,1,3,4,7,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,4,7,6,8,5,2,1]=>[6,5,2,3,1,4,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,6,7,8,5,2,1]=>[6,5,3,2,1,4,7,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [4,5,3,7,8,6,2,1]=>[5,4,6,2,1,3,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,4,8,7,6,2,1]=>[6,4,5,1,2,3,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,5,4,7,8,6,2,1]=>[6,4,5,2,1,3,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,3,5,7,8,6,2,1]=>[5,6,4,2,1,3,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,5,8,7,6,2,1]=>[6,5,4,1,2,3,7,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,4,5,7,8,6,2,1]=>[6,5,4,2,1,3,7,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [4,6,5,3,8,7,2,1]=>[5,3,4,6,1,2,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,4,6,3,8,7,2,1]=>[4,5,3,6,1,2,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,5,6,3,8,7,2,1]=>[5,4,3,6,1,2,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,6,4,8,7,2,1]=>[6,4,3,5,1,2,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,6,5,8,7,2,1]=>[5,6,3,4,1,2,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,6,5,8,7,2,1]=>[6,5,3,4,1,2,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,3,6,8,7,2,1]=>[5,4,6,3,1,2,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,4,6,8,7,2,1]=>[6,4,5,3,1,2,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,3,5,6,8,7,2,1]=>[5,6,4,3,1,2,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,5,6,8,7,2,1]=>[6,5,4,3,1,2,7,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [5,7,6,4,3,8,2,1]=>[4,2,3,5,6,1,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,7,6,5,3,8,2,1]=>[5,2,3,4,6,1,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,6,7,5,3,8,2,1]=>[5,3,2,4,6,1,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,7,6,3,8,2,1]=>[5,4,2,3,6,1,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,6,5,4,8,2,1]=>[6,2,3,4,5,1,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,6,7,5,4,8,2,1]=>[6,3,2,4,5,1,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,7,6,4,8,2,1]=>[6,4,2,3,5,1,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,5,7,4,8,2,1]=>[6,3,4,2,5,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,6,7,4,8,2,1]=>[6,4,3,2,5,1,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,3,7,6,5,8,2,1]=>[5,6,2,3,4,1,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,3,6,7,5,8,2,1]=>[5,6,3,2,4,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,7,6,5,8,2,1]=>[6,5,2,3,4,1,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,6,7,5,8,2,1]=>[6,5,3,2,4,1,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,3,7,6,8,2,1]=>[5,4,6,2,3,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,4,7,6,8,2,1]=>[6,4,5,2,3,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,7,6,8,2,1]=>[5,6,4,2,3,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,5,7,6,8,2,1]=>[6,5,4,2,3,1,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,5,4,7,8,2,1]=>[6,3,4,5,2,1,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,6,4,7,8,2,1]=>[6,4,3,5,2,1,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,6,5,7,8,2,1]=>[5,6,3,4,2,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,4,6,5,7,8,2,1]=>[6,5,3,4,2,1,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,4,6,7,8,2,1]=>[6,4,5,3,2,1,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,8,7,6,5,4,3,1]=>[7,1,2,3,4,5,6,8]=>[1,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,8,6,5,4,3,1]=>[7,2,1,3,4,5,6,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,6,8,7,5,4,3,1]=>[7,3,1,2,4,5,6,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,7,6,8,5,4,3,1]=>[7,2,3,1,4,5,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,6,7,8,5,4,3,1]=>[7,3,2,1,4,5,6,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,5,8,7,6,4,3,1]=>[7,4,1,2,3,5,6,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,6,5,8,7,4,3,1]=>[7,3,4,1,2,5,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,5,6,8,7,4,3,1]=>[7,4,3,1,2,5,6,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,7,6,5,8,4,3,1]=>[7,2,3,4,1,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,7,5,8,4,3,1]=>[7,3,2,4,1,5,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,7,6,8,4,3,1]=>[7,4,2,3,1,5,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,5,7,8,4,3,1]=>[7,3,4,2,1,5,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,5,6,7,8,4,3,1]=>[7,4,3,2,1,5,6,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,4,8,7,6,5,3,1]=>[7,5,1,2,3,4,6,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,4,7,8,6,5,3,1]=>[7,5,2,1,3,4,6,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,4,6,8,7,5,3,1]=>[7,5,3,1,2,4,6,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,4,7,6,8,5,3,1]=>[7,5,2,3,1,4,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,6,7,8,5,3,1]=>[7,5,3,2,1,4,6,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,5,4,8,7,6,3,1]=>[7,4,5,1,2,3,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,5,4,7,8,6,3,1]=>[7,4,5,2,1,3,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,4,5,8,7,6,3,1]=>[7,5,4,1,2,3,6,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,6,5,4,8,7,3,1]=>[7,3,4,5,1,2,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,6,4,8,7,3,1]=>[7,4,3,5,1,2,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,6,5,8,7,3,1]=>[7,5,3,4,1,2,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,6,5,4,8,3,1]=>[7,2,3,4,5,1,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,5,7,6,4,8,3,1]=>[7,4,2,3,5,1,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,6,7,4,8,3,1]=>[7,4,3,2,5,1,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,7,6,5,8,3,1]=>[7,5,2,3,4,1,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,6,7,5,8,3,1]=>[7,5,3,2,4,1,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,4,7,6,8,3,1]=>[7,4,5,2,3,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,5,7,6,8,3,1]=>[7,5,4,2,3,1,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,5,4,7,8,3,1]=>[7,3,4,5,2,1,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,6,4,7,8,3,1]=>[7,4,3,5,2,1,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,6,5,7,8,3,1]=>[7,5,3,4,2,1,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,4,6,7,8,3,1]=>[7,4,5,3,2,1,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,4,5,6,7,8,3,1]=>[7,5,4,3,2,1,6,8]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [3,2,8,7,6,5,4,1]=>[6,7,1,2,3,4,5,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [3,2,7,8,6,5,4,1]=>[6,7,2,1,3,4,5,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,2,6,8,7,5,4,1]=>[6,7,3,1,2,4,5,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,2,7,6,8,5,4,1]=>[6,7,2,3,1,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,2,6,7,8,5,4,1]=>[6,7,3,2,1,4,5,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,6,5,8,7,4,1]=>[6,7,3,4,1,2,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,2,5,6,8,7,4,1]=>[6,7,4,3,1,2,5,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,7,6,5,8,4,1]=>[6,7,2,3,4,1,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,6,7,5,8,4,1]=>[6,7,3,2,4,1,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,5,6,7,8,4,1]=>[6,7,4,3,2,1,5,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,8,7,6,5,4,1]=>[7,6,1,2,3,4,5,8]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,3,6,8,7,5,4,1]=>[7,6,3,1,2,4,5,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,3,7,6,8,5,4,1]=>[7,6,2,3,1,4,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,6,7,8,5,4,1]=>[7,6,3,2,1,4,5,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,3,5,8,7,6,4,1]=>[7,6,4,1,2,3,5,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,3,5,7,8,6,4,1]=>[7,6,4,2,1,3,5,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,3,6,5,8,7,4,1]=>[7,6,3,4,1,2,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,5,6,8,7,4,1]=>[7,6,4,3,1,2,5,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,3,7,6,5,8,4,1]=>[7,6,2,3,4,1,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,3,6,7,5,8,4,1]=>[7,6,3,2,4,1,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,6,5,7,8,4,1]=>[7,6,3,4,2,1,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,5,6,7,8,4,1]=>[7,6,4,3,2,1,5,8]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [3,4,2,8,7,6,5,1]=>[6,5,7,1,2,3,4,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,4,2,7,6,8,5,1]=>[6,5,7,2,3,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,3,8,7,6,5,1]=>[7,5,6,1,2,3,4,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,4,3,7,8,6,5,1]=>[7,5,6,2,1,3,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,4,3,6,8,7,5,1]=>[7,5,6,3,1,2,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,4,3,7,6,8,5,1]=>[7,5,6,2,3,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,3,6,7,8,5,1]=>[7,5,6,3,2,1,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,2,4,8,7,6,5,1]=>[6,7,5,1,2,3,4,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,2,4,7,8,6,5,1]=>[6,7,5,2,1,3,4,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,4,6,8,7,5,1]=>[6,7,5,3,1,2,4,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,4,7,6,8,5,1]=>[6,7,5,2,3,1,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,4,6,7,8,5,1]=>[6,7,5,3,2,1,4,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,4,8,7,6,5,1]=>[7,6,5,1,2,3,4,8]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,3,4,7,8,6,5,1]=>[7,6,5,2,1,3,4,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,3,4,6,8,7,5,1]=>[7,6,5,3,1,2,4,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,3,4,7,6,8,5,1]=>[7,6,5,2,3,1,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,4,6,7,8,5,1]=>[7,6,5,3,2,1,4,8]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [4,5,3,2,8,7,6,1]=>[5,4,6,7,1,2,3,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,3,2,7,8,6,1]=>[5,4,6,7,2,1,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,4,2,8,7,6,1]=>[6,4,5,7,1,2,3,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,5,2,8,7,6,1]=>[5,6,4,7,1,2,3,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,5,2,8,7,6,1]=>[6,5,4,7,1,2,3,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,5,2,7,8,6,1]=>[6,5,4,7,2,1,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,4,3,8,7,6,1]=>[7,4,5,6,1,2,3,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,4,3,7,8,6,1]=>[7,4,5,6,2,1,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,5,3,8,7,6,1]=>[7,5,4,6,1,2,3,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,5,3,7,8,6,1]=>[7,5,4,6,2,1,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,5,4,8,7,6,1]=>[6,7,4,5,1,2,3,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,2,5,4,7,8,6,1]=>[6,7,4,5,2,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,3,5,4,8,7,6,1]=>[7,6,4,5,1,2,3,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,5,4,7,8,6,1]=>[7,6,4,5,2,1,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,2,5,8,7,6,1]=>[6,5,7,4,1,2,3,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,2,5,7,8,6,1]=>[6,5,7,4,2,1,3,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,5,8,7,6,1]=>[7,5,6,4,1,2,3,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,4,5,8,7,6,1]=>[6,7,5,4,1,2,3,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,4,5,7,8,6,1]=>[6,7,5,4,2,1,3,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,4,5,8,7,6,1]=>[7,6,5,4,1,2,3,8]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,3,4,5,7,8,6,1]=>[7,6,5,4,2,1,3,8]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [4,6,5,3,2,8,7,1]=>[5,3,4,6,7,1,2,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,4,6,3,2,8,7,1]=>[4,5,3,6,7,1,2,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,5,4,2,8,7,1]=>[6,3,4,5,7,1,2,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,5,6,4,2,8,7,1]=>[6,4,3,5,7,1,2,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,6,5,2,8,7,1]=>[5,6,3,4,7,1,2,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,4,6,5,2,8,7,1]=>[6,5,3,4,7,1,2,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,3,6,2,8,7,1]=>[5,4,6,3,7,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,6,2,8,7,1]=>[5,6,4,3,7,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,5,6,2,8,7,1]=>[6,5,4,3,7,1,2,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,5,4,3,8,7,1]=>[7,3,4,5,6,1,2,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,5,6,4,3,8,7,1]=>[7,4,3,5,6,1,2,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,6,5,3,8,7,1]=>[7,5,3,4,6,1,2,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,4,6,3,8,7,1]=>[7,4,5,3,6,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,5,6,3,8,7,1]=>[7,5,4,3,6,1,2,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,2,6,5,4,8,7,1]=>[6,7,3,4,5,1,2,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,5,6,4,8,7,1]=>[6,7,4,3,5,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,5,6,4,8,7,1]=>[7,6,4,3,5,1,2,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,3,6,5,8,7,1]=>[7,5,6,3,4,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,4,6,5,8,7,1]=>[6,7,5,3,4,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,4,6,5,8,7,1]=>[7,6,5,3,4,1,2,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,3,2,6,8,7,1]=>[5,4,6,7,3,1,2,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,4,3,6,8,7,1]=>[7,4,5,6,3,1,2,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,5,3,6,8,7,1]=>[7,5,4,6,3,1,2,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,5,4,6,8,7,1]=>[7,6,4,5,3,1,2,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,2,5,6,8,7,1]=>[6,5,7,4,3,1,2,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,5,6,8,7,1]=>[7,5,6,4,3,1,2,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,2,4,5,6,8,7,1]=>[6,7,5,4,3,1,2,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,4,5,6,8,7,1]=>[7,6,5,4,3,1,2,8]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [5,7,6,4,3,2,8,1]=>[4,2,3,5,6,7,1,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,7,6,5,3,2,8,1]=>[5,2,3,4,6,7,1,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,6,7,5,3,2,8,1]=>[5,3,2,4,6,7,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,4,7,6,3,2,8,1]=>[4,5,2,3,6,7,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,5,7,6,3,2,8,1]=>[5,4,2,3,6,7,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,5,7,3,2,8,1]=>[5,3,4,2,6,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,6,5,4,2,8,1]=>[6,2,3,4,5,7,1,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,6,7,5,4,2,8,1]=>[6,3,2,4,5,7,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,5,7,6,4,2,8,1]=>[6,4,2,3,5,7,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,5,7,4,2,8,1]=>[6,3,4,2,5,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,7,6,5,2,8,1]=>[5,6,2,3,4,7,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,3,6,7,5,2,8,1]=>[5,6,3,2,4,7,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,7,6,5,2,8,1]=>[6,5,2,3,4,7,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,4,6,7,5,2,8,1]=>[6,5,3,2,4,7,1,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,3,7,6,2,8,1]=>[5,4,6,2,3,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,4,7,6,2,8,1]=>[6,4,5,2,3,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,5,3,7,2,8,1]=>[5,3,4,6,2,7,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,4,7,2,8,1]=>[6,3,4,5,2,7,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,4,7,2,8,1]=>[6,4,3,5,2,7,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,5,7,2,8,1]=>[5,6,3,4,2,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,6,5,4,3,8,1]=>[7,2,3,4,5,6,1,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,6,7,5,4,3,8,1]=>[7,3,2,4,5,6,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,5,7,6,4,3,8,1]=>[7,4,2,3,5,6,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,5,6,7,4,3,8,1]=>[7,4,3,2,5,6,1,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,7,6,5,3,8,1]=>[7,5,2,3,4,6,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,4,6,7,5,3,8,1]=>[7,5,3,2,4,6,1,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,4,7,6,3,8,1]=>[7,4,5,2,3,6,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,5,7,6,3,8,1]=>[7,5,4,2,3,6,1,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,5,4,7,3,8,1]=>[7,3,4,5,2,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,4,7,3,8,1]=>[7,4,3,5,2,6,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,5,7,3,8,1]=>[7,5,3,4,2,6,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,6,7,3,8,1]=>[7,4,5,3,2,6,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,6,7,3,8,1]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,2,7,6,5,4,8,1]=>[6,7,2,3,4,5,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,2,6,7,5,4,8,1]=>[6,7,3,2,4,5,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,5,7,6,4,8,1]=>[6,7,4,2,3,5,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,5,7,4,8,1]=>[6,7,3,4,2,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,5,6,7,4,8,1]=>[6,7,4,3,2,5,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,6,5,4,8,1]=>[7,6,2,3,4,5,1,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,3,6,7,5,4,8,1]=>[7,6,3,2,4,5,1,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,5,7,6,4,8,1]=>[7,6,4,2,3,5,1,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,5,6,7,4,8,1]=>[7,6,4,3,2,5,1,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,2,6,7,5,8,1]=>[6,5,7,3,2,4,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,7,6,5,8,1]=>[7,5,6,2,3,4,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,6,7,5,8,1]=>[7,5,6,3,2,4,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,7,6,5,8,1]=>[6,7,5,2,3,4,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,4,7,6,5,8,1]=>[7,6,5,2,3,4,1,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,4,6,7,5,8,1]=>[7,6,5,3,2,4,1,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,5,3,2,7,6,8,1]=>[5,4,6,7,2,3,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,2,7,6,8,1]=>[5,6,4,7,2,3,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,5,2,7,6,8,1]=>[6,5,4,7,2,3,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,3,7,6,8,1]=>[7,4,5,6,2,3,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,3,7,6,8,1]=>[7,5,4,6,2,3,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,4,7,6,8,1]=>[6,7,4,5,2,3,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,5,4,7,6,8,1]=>[7,6,4,5,2,3,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,5,7,6,8,1]=>[7,5,6,4,2,3,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,5,7,6,8,1]=>[6,7,5,4,2,3,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,4,5,7,6,8,1]=>[7,6,5,4,2,3,1,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,3,6,5,2,7,8,1]=>[5,6,3,4,7,2,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,5,4,6,2,7,8,1]=>[6,4,5,3,7,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,5,4,3,7,8,1]=>[7,3,4,5,6,2,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,4,6,3,7,8,1]=>[7,4,5,3,6,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,5,6,3,7,8,1]=>[7,5,4,3,6,2,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,2,5,6,4,7,8,1]=>[6,7,4,3,5,2,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,6,5,4,7,8,1]=>[7,6,3,4,5,2,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,5,6,4,7,8,1]=>[7,6,4,3,5,2,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,2,6,5,7,8,1]=>[6,5,7,3,4,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,6,5,7,8,1]=>[7,5,6,3,4,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,4,6,5,7,8,1]=>[6,7,5,3,4,2,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,4,6,5,7,8,1]=>[7,6,5,3,4,2,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,4,3,6,7,8,1]=>[7,4,5,6,3,2,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,5,3,6,7,8,1]=>[7,5,4,6,3,2,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,5,4,6,7,8,1]=>[6,7,4,5,3,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,3,5,4,6,7,8,1]=>[7,6,4,5,3,2,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,3,5,6,7,8,1]=>[7,5,6,4,3,2,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[1,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,8,6,5,4,3,2]=>[8,2,1,3,4,5,6,7]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,6,8,7,5,4,3,2]=>[8,3,1,2,4,5,6,7]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,8,5,4,3,2]=>[8,2,3,1,4,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,5,8,7,6,4,3,2]=>[8,4,1,2,3,5,6,7]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,5,7,8,6,4,3,2]=>[8,4,2,1,3,5,6,7]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,8,7,4,3,2]=>[8,3,4,1,2,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,5,6,8,7,4,3,2]=>[8,4,3,1,2,5,6,7]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,7,5,8,4,3,2]=>[8,3,2,4,1,5,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,5,7,6,8,4,3,2]=>[8,4,2,3,1,5,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,5,7,8,4,3,2]=>[8,3,4,2,1,5,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,5,6,7,8,4,3,2]=>[8,4,3,2,1,5,6,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,4,8,7,6,5,3,2]=>[8,5,1,2,3,4,6,7]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,4,7,8,6,5,3,2]=>[8,5,2,1,3,4,6,7]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,4,6,8,7,5,3,2]=>[8,5,3,1,2,4,6,7]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,4,7,6,8,5,3,2]=>[8,5,2,3,1,4,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,6,7,8,5,3,2]=>[8,5,3,2,1,4,6,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,5,4,8,7,6,3,2]=>[8,4,5,1,2,3,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,5,4,7,8,6,3,2]=>[8,4,5,2,1,3,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,4,5,8,7,6,3,2]=>[8,5,4,1,2,3,6,7]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,4,5,7,8,6,3,2]=>[8,5,4,2,1,3,6,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,6,5,4,8,7,3,2]=>[8,3,4,5,1,2,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,5,6,4,8,7,3,2]=>[8,4,3,5,1,2,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,6,5,8,7,3,2]=>[8,5,3,4,1,2,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,5,6,8,7,3,2]=>[8,5,4,3,1,2,6,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,7,6,5,4,8,3,2]=>[8,2,3,4,5,1,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,5,7,6,4,8,3,2]=>[8,4,2,3,5,1,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,4,7,6,5,8,3,2]=>[8,5,2,3,4,1,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,4,6,7,5,8,3,2]=>[8,5,3,2,4,1,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,4,7,6,8,3,2]=>[8,4,5,2,3,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,5,7,6,8,3,2]=>[8,5,4,2,3,1,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,5,4,7,8,3,2]=>[8,3,4,5,2,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,6,4,7,8,3,2]=>[8,4,3,5,2,1,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,4,5,6,7,8,3,2]=>[8,5,4,3,2,1,6,7]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,3,8,7,6,5,4,2]=>[8,6,1,2,3,4,5,7]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,3,7,6,8,5,4,2]=>[8,6,2,3,1,4,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,6,7,8,5,4,2]=>[8,6,3,2,1,4,5,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,5,8,7,6,4,2]=>[8,6,4,1,2,3,5,7]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,5,7,8,6,4,2]=>[8,6,4,2,1,3,5,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,5,6,8,7,4,2]=>[8,6,4,3,1,2,5,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,7,6,5,8,4,2]=>[8,6,2,3,4,1,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,6,7,5,8,4,2]=>[8,6,3,2,4,1,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,6,5,7,8,4,2]=>[8,6,3,4,2,1,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,4,3,8,7,6,5,2]=>[8,5,6,1,2,3,4,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,4,3,7,8,6,5,2]=>[8,5,6,2,1,3,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,4,3,6,8,7,5,2]=>[8,5,6,3,1,2,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,3,6,7,8,5,2]=>[8,5,6,3,2,1,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,4,7,8,6,5,2]=>[8,6,5,2,1,3,4,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,4,6,8,7,5,2]=>[8,6,5,3,1,2,4,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,4,7,6,8,5,2]=>[8,6,5,2,3,1,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,4,6,7,8,5,2]=>[8,6,5,3,2,1,4,7]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,5,4,3,8,7,6,2]=>[8,4,5,6,1,2,3,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,5,4,3,7,8,6,2]=>[8,4,5,6,2,1,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,5,3,8,7,6,2]=>[8,5,4,6,1,2,3,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,5,3,7,8,6,2]=>[8,5,4,6,2,1,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,5,4,8,7,6,2]=>[8,6,4,5,1,2,3,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,5,4,7,8,6,2]=>[8,6,4,5,2,1,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,3,5,8,7,6,2]=>[8,5,6,4,1,2,3,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,4,3,5,7,8,6,2]=>[8,5,6,4,2,1,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,3,4,5,8,7,6,2]=>[8,6,5,4,1,2,3,7]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,4,5,7,8,6,2]=>[8,6,5,4,2,1,3,7]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,6,5,4,3,8,7,2]=>[8,3,4,5,6,1,2,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,5,6,4,3,8,7,2]=>[8,4,3,5,6,1,2,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,4,6,5,3,8,7,2]=>[8,5,3,4,6,1,2,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,4,6,3,8,7,2]=>[8,4,5,3,6,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,5,6,3,8,7,2]=>[8,5,4,3,6,1,2,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,6,5,4,8,7,2]=>[8,6,3,4,5,1,2,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,5,6,4,8,7,2]=>[8,6,4,3,5,1,2,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,4,6,5,8,7,2]=>[8,6,5,3,4,1,2,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,5,3,6,8,7,2]=>[8,5,4,6,3,1,2,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,5,4,6,8,7,2]=>[8,6,4,5,3,1,2,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,4,5,6,8,7,2]=>[8,6,5,4,3,1,2,7]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,7,6,5,4,3,8,2]=>[8,2,3,4,5,6,1,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,6,7,5,4,3,8,2]=>[8,3,2,4,5,6,1,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,5,7,6,4,3,8,2]=>[8,4,2,3,5,6,1,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,6,5,7,4,3,8,2]=>[8,3,4,2,5,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,6,7,4,3,8,2]=>[8,4,3,2,5,6,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,7,6,5,3,8,2]=>[8,5,2,3,4,6,1,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,4,6,7,5,3,8,2]=>[8,5,3,2,4,6,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,4,7,6,3,8,2]=>[8,4,5,2,3,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,5,7,6,3,8,2]=>[8,5,4,2,3,6,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,5,4,7,3,8,2]=>[8,3,4,5,2,6,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,6,4,7,3,8,2]=>[8,4,3,5,2,6,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,5,7,3,8,2]=>[8,5,3,4,2,6,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,6,7,3,8,2]=>[8,4,5,3,2,6,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,6,7,3,8,2]=>[8,5,4,3,2,6,1,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,6,7,5,4,8,2]=>[8,6,3,2,4,5,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,5,7,6,4,8,2]=>[8,6,4,2,3,5,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,6,5,7,4,8,2]=>[8,6,3,4,2,5,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,6,7,4,8,2]=>[8,6,4,3,2,5,1,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,3,7,6,5,8,2]=>[8,5,6,2,3,4,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,4,7,6,5,8,2]=>[8,6,5,2,3,4,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,4,6,7,5,8,2]=>[8,6,5,3,2,4,1,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,5,4,3,7,6,8,2]=>[8,4,5,6,2,3,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,4,7,6,8,2]=>[8,6,4,5,2,3,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,5,7,6,8,2]=>[8,5,6,4,2,3,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,4,5,7,6,8,2]=>[8,6,5,4,2,3,1,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,6,5,4,3,7,8,2]=>[8,3,4,5,6,2,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,5,6,4,3,7,8,2]=>[8,4,3,5,6,2,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,4,6,3,7,8,2]=>[8,4,5,3,6,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,5,6,3,7,8,2]=>[8,5,4,3,6,2,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,5,6,4,7,8,2]=>[8,6,4,3,5,2,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,3,6,5,7,8,2]=>[8,5,6,3,4,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,4,6,5,7,8,2]=>[8,6,5,3,4,2,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,5,4,6,7,8,2]=>[8,6,4,5,3,2,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,3,5,6,7,8,2]=>[8,5,6,4,3,2,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [2,1,7,8,6,5,4,3]=>[7,8,2,1,3,4,5,6]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,1,6,8,7,5,4,3]=>[7,8,3,1,2,4,5,6]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,1,7,6,8,5,4,3]=>[7,8,2,3,1,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,1,6,7,8,5,4,3]=>[7,8,3,2,1,4,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,5,8,7,6,4,3]=>[7,8,4,1,2,3,5,6]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,1,5,7,8,6,4,3]=>[7,8,4,2,1,3,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,6,5,8,7,4,3]=>[7,8,3,4,1,2,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,1,5,6,8,7,4,3]=>[7,8,4,3,1,2,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,7,6,5,8,4,3]=>[7,8,2,3,4,1,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,6,7,5,8,4,3]=>[7,8,3,2,4,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,7,6,8,4,3]=>[7,8,4,2,3,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,5,7,8,4,3]=>[7,8,3,4,2,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,5,6,7,8,4,3]=>[7,8,4,3,2,1,5,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,4,8,7,6,5,3]=>[7,8,5,1,2,3,4,6]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,1,4,7,8,6,5,3]=>[7,8,5,2,1,3,4,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,4,6,8,7,5,3]=>[7,8,5,3,1,2,4,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,4,7,6,8,5,3]=>[7,8,5,2,3,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,6,7,8,5,3]=>[7,8,5,3,2,1,4,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,5,4,8,7,6,3]=>[7,8,4,5,1,2,3,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,1,5,4,7,8,6,3]=>[7,8,4,5,2,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,4,5,8,7,6,3]=>[7,8,5,4,1,2,3,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,4,5,7,8,6,3]=>[7,8,5,4,2,1,3,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,6,5,4,8,7,3]=>[7,8,3,4,5,1,2,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,5,6,4,8,7,3]=>[7,8,4,3,5,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,6,5,8,7,3]=>[7,8,5,3,4,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,5,6,8,7,3]=>[7,8,5,4,3,1,2,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,7,6,5,4,8,3]=>[7,8,2,3,4,5,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,6,7,5,4,8,3]=>[7,8,3,2,4,5,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,5,7,4,8,3]=>[7,8,3,4,2,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,5,6,7,4,8,3]=>[7,8,4,3,2,5,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,7,6,5,8,3]=>[7,8,5,2,3,4,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,4,6,7,5,8,3]=>[7,8,5,3,2,4,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,4,7,6,8,3]=>[7,8,4,5,2,3,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,5,4,7,8,3]=>[7,8,3,4,5,2,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,1,5,6,4,7,8,3]=>[7,8,4,3,5,2,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,5,4,6,7,8,3]=>[7,8,4,5,3,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,4,5,6,7,8,3]=>[7,8,5,4,3,2,1,6]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[1,1,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,8,6,5,4,3]=>[8,7,2,1,3,4,5,6]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,6,8,5,4,3]=>[8,7,2,3,1,4,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,6,7,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,5,8,7,6,4,3]=>[8,7,4,1,2,3,5,6]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,5,7,8,6,4,3]=>[8,7,4,2,1,3,5,6]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,6,5,8,7,4,3]=>[8,7,3,4,1,2,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,5,6,8,7,4,3]=>[8,7,4,3,1,2,5,6]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,7,6,5,8,4,3]=>[8,7,2,3,4,1,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,6,7,5,8,4,3]=>[8,7,3,2,4,1,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,4,7,8,6,5,3]=>[8,7,5,2,1,3,4,6]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,4,6,8,7,5,3]=>[8,7,5,3,1,2,4,6]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,4,7,6,8,5,3]=>[8,7,5,2,3,1,4,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,4,6,7,8,5,3]=>[8,7,5,3,2,1,4,6]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,5,4,8,7,6,3]=>[8,7,4,5,1,2,3,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,4,5,8,7,6,3]=>[8,7,5,4,1,2,3,6]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,4,5,7,8,6,3]=>[8,7,5,4,2,1,3,6]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,6,5,4,8,7,3]=>[8,7,3,4,5,1,2,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,5,6,4,8,7,3]=>[8,7,4,3,5,1,2,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,4,5,6,8,7,3]=>[8,7,5,4,3,1,2,6]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,7,6,5,4,8,3]=>[8,7,2,3,4,5,1,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,6,7,5,4,8,3]=>[8,7,3,2,4,5,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,5,7,6,4,8,3]=>[8,7,4,2,3,5,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,6,5,7,4,8,3]=>[8,7,3,4,2,5,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,5,6,7,4,8,3]=>[8,7,4,3,2,5,1,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,7,6,5,8,3]=>[8,7,5,2,3,4,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,4,6,7,5,8,3]=>[8,7,5,3,2,4,1,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,5,7,6,8,3]=>[8,7,5,4,2,3,1,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,6,5,4,7,8,3]=>[8,7,3,4,5,2,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,5,6,4,7,8,3]=>[8,7,4,3,5,2,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,4,6,5,7,8,3]=>[8,7,5,3,4,2,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,5,4,6,7,8,3]=>[8,7,4,5,3,2,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,3,1,8,7,6,5,4]=>[7,6,8,1,2,3,4,5]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,3,1,7,8,6,5,4]=>[7,6,8,2,1,3,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,3,1,6,8,7,5,4]=>[7,6,8,3,1,2,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,3,1,7,6,8,5,4]=>[7,6,8,2,3,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,1,6,7,8,5,4]=>[7,6,8,3,2,1,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,5,8,7,6,4]=>[7,6,8,4,1,2,3,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,3,1,5,7,8,6,4]=>[7,6,8,4,2,1,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,6,5,8,7,4]=>[7,6,8,3,4,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,1,5,6,8,7,4]=>[7,6,8,4,3,1,2,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,7,6,5,8,4]=>[7,6,8,2,3,4,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,1,6,7,5,8,4]=>[7,6,8,3,2,4,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,5,7,6,8,4]=>[7,6,8,4,2,3,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,5,6,7,8,4]=>[7,6,8,4,3,2,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,3,2,7,8,6,5,4]=>[8,6,7,2,1,3,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,2,6,8,7,5,4]=>[8,6,7,3,1,2,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,2,7,6,8,5,4]=>[8,6,7,2,3,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,2,6,7,8,5,4]=>[8,6,7,3,2,1,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,5,8,7,6,4]=>[8,6,7,4,1,2,3,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,2,5,7,8,6,4]=>[8,6,7,4,2,1,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,6,5,8,7,4]=>[8,6,7,3,4,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,2,5,6,8,7,4]=>[8,6,7,4,3,1,2,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,7,6,5,8,4]=>[8,6,7,2,3,4,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,2,6,7,5,8,4]=>[8,6,7,3,2,4,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,5,7,6,8,4]=>[8,6,7,4,2,3,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,6,5,7,8,4]=>[8,6,7,3,4,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,1,3,7,8,6,5,4]=>[7,8,6,2,1,3,4,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,3,6,8,7,5,4]=>[7,8,6,3,1,2,4,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,3,7,6,8,5,4]=>[7,8,6,2,3,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,3,6,7,8,5,4]=>[7,8,6,3,2,1,4,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,5,8,7,6,4]=>[7,8,6,4,1,2,3,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,3,5,7,8,6,4]=>[7,8,6,4,2,1,3,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,6,5,8,7,4]=>[7,8,6,3,4,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,3,5,6,8,7,4]=>[7,8,6,4,3,1,2,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,7,6,5,8,4]=>[7,8,6,2,3,4,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,3,5,7,6,8,4]=>[7,8,6,4,2,3,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,6,5,7,8,4]=>[7,8,6,3,4,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,3,5,6,7,8,4]=>[7,8,6,4,3,2,1,5]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[1,1,1,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [3,4,2,1,8,7,6,5]=>[6,5,7,8,1,2,3,4]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,2,1,7,8,6,5]=>[6,5,7,8,2,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,2,1,6,8,7,5]=>[6,5,7,8,3,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,2,1,7,6,8,5]=>[6,5,7,8,2,3,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,1,6,7,8,5]=>[6,5,7,8,3,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,3,1,8,7,6,5]=>[7,5,6,8,1,2,3,4]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,3,1,7,8,6,5]=>[7,5,6,8,2,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,1,6,8,7,5]=>[7,5,6,8,3,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,1,7,6,8,5]=>[7,5,6,8,2,3,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,1,6,7,8,5]=>[7,5,6,8,3,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,4,1,8,7,6,5]=>[6,7,5,8,1,2,3,4]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,2,4,1,7,8,6,5]=>[6,7,5,8,2,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,4,1,6,8,7,5]=>[6,7,5,8,3,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,4,1,7,6,8,5]=>[6,7,5,8,2,3,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,4,1,6,7,8,5]=>[6,7,5,8,3,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,3,4,1,8,7,6,5]=>[7,6,5,8,1,2,3,4]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,4,1,7,8,6,5]=>[7,6,5,8,2,1,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,4,1,6,8,7,5]=>[7,6,5,8,3,1,2,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,4,1,7,6,8,5]=>[7,6,5,8,2,3,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,3,2,7,8,6,5]=>[8,5,6,7,2,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,3,2,6,8,7,5]=>[8,5,6,7,3,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,4,2,7,8,6,5]=>[8,6,5,7,2,1,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,4,2,6,8,7,5]=>[8,6,5,7,3,1,2,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,1,4,3,7,8,6,5]=>[7,8,5,6,2,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,4,3,6,8,7,5]=>[7,8,5,6,3,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,4,3,7,6,8,5]=>[7,8,5,6,2,3,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,4,3,6,7,8,5]=>[7,8,5,6,3,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,4,3,7,8,6,5]=>[8,7,5,6,2,1,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,4,3,6,8,7,5]=>[8,7,5,6,3,1,2,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,4,8,7,6,5]=>[7,6,8,5,1,2,3,4]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,3,1,4,7,8,6,5]=>[7,6,8,5,2,1,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,4,6,8,7,5]=>[7,6,8,5,3,1,2,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,4,7,6,8,5]=>[7,6,8,5,2,3,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,4,6,7,8,5]=>[7,6,8,5,3,2,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,2,4,7,8,6,5]=>[8,6,7,5,2,1,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,4,6,8,7,5]=>[8,6,7,5,3,1,2,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,3,4,7,8,6,5]=>[7,8,6,5,2,1,3,4]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,4,6,8,7,5]=>[7,8,6,5,3,1,2,4]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,4,7,6,8,5]=>[7,8,6,5,2,3,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,4,6,7,8,5]=>[7,8,6,5,3,2,1,4]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[1,1,1,1,4]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,4,6,8,7,5]=>[8,7,6,5,3,1,2,4]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [4,5,3,2,1,8,7,6]=>[5,4,6,7,8,1,2,3]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,5,3,2,1,7,8,6]=>[5,4,6,7,8,2,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,5,4,2,1,8,7,6]=>[6,4,5,7,8,1,2,3]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,3,5,2,1,8,7,6]=>[5,6,4,7,8,1,2,3]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,3,5,2,1,7,8,6]=>[5,6,4,7,8,2,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,4,5,2,1,8,7,6]=>[6,5,4,7,8,1,2,3]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,5,2,1,7,8,6]=>[6,5,4,7,8,2,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,4,3,1,8,7,6]=>[7,4,5,6,8,1,2,3]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,5,4,3,1,7,8,6]=>[7,4,5,6,8,2,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,4,5,3,1,8,7,6]=>[7,5,4,6,8,1,2,3]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,5,3,1,7,8,6]=>[7,5,4,6,8,2,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,5,4,1,8,7,6]=>[6,7,4,5,8,1,2,3]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,5,4,1,7,8,6]=>[6,7,4,5,8,2,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,3,5,4,1,8,7,6]=>[7,6,4,5,8,1,2,3]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,3,5,4,1,7,8,6]=>[7,6,4,5,8,2,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,2,5,1,8,7,6]=>[6,5,7,4,8,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,2,5,1,7,8,6]=>[6,5,7,4,8,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,5,1,8,7,6]=>[7,5,6,4,8,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,3,5,1,7,8,6]=>[7,5,6,4,8,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,4,5,1,8,7,6]=>[6,7,5,4,8,1,2,3]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,4,5,1,7,8,6]=>[6,7,5,4,8,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,4,5,1,8,7,6]=>[7,6,5,4,8,1,2,3]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,4,5,1,7,8,6]=>[7,6,5,4,8,2,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,5,4,3,2,7,8,6]=>[8,4,5,6,7,2,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,4,5,3,2,8,7,6]=>[8,5,4,6,7,1,2,3]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,4,5,3,2,7,8,6]=>[8,5,4,6,7,2,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,5,4,2,8,7,6]=>[8,6,4,5,7,1,2,3]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,5,4,2,7,8,6]=>[8,6,4,5,7,2,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,3,5,2,8,7,6]=>[8,5,6,4,7,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,4,5,2,8,7,6]=>[8,6,5,4,7,1,2,3]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,4,5,2,7,8,6]=>[8,6,5,4,7,2,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,1,5,4,3,8,7,6]=>[7,8,4,5,6,1,2,3]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,5,4,3,7,8,6]=>[7,8,4,5,6,2,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,1,4,5,3,8,7,6]=>[7,8,5,4,6,1,2,3]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,5,3,7,8,6]=>[7,8,5,4,6,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,5,4,3,7,8,6]=>[8,7,4,5,6,2,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,4,5,3,7,8,6]=>[8,7,5,4,6,2,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,1,5,4,7,8,6]=>[7,6,8,4,5,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,2,5,4,7,8,6]=>[8,6,7,4,5,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,3,5,4,8,7,6]=>[7,8,6,4,5,1,2,3]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,3,5,4,7,8,6]=>[7,8,6,4,5,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,3,5,4,7,8,6]=>[8,7,6,4,5,2,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,2,1,5,8,7,6]=>[6,5,7,8,4,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,2,1,5,7,8,6]=>[6,5,7,8,4,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,3,1,5,8,7,6]=>[7,5,6,8,4,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,1,5,7,8,6]=>[7,5,6,8,4,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,4,1,5,8,7,6]=>[6,7,5,8,4,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,4,1,5,7,8,6]=>[6,7,5,8,4,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,3,4,1,5,8,7,6]=>[7,6,5,8,4,1,2,3]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,4,1,5,7,8,6]=>[7,6,5,8,4,2,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,3,2,5,7,8,6]=>[8,5,6,7,4,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,4,2,5,8,7,6]=>[8,6,5,7,4,1,2,3]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,4,2,5,7,8,6]=>[8,6,5,7,4,2,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,4,3,5,7,8,6]=>[7,8,5,6,4,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,2,4,3,5,7,8,6]=>[8,7,5,6,4,2,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,4,5,8,7,6]=>[7,6,8,5,4,1,2,3]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,2,4,5,7,8,6]=>[8,6,7,5,4,2,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,4,5,7,8,6]=>[7,8,6,5,4,2,1,3]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[1,1,1,1,1,3]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [5,6,4,3,2,1,8,7]=>[4,3,5,6,7,8,1,2]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,6,5,3,2,1,8,7]=>[5,3,4,6,7,8,1,2]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,4,6,3,2,1,8,7]=>[4,5,3,6,7,8,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,5,6,3,2,1,8,7]=>[5,4,3,6,7,8,1,2]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,5,4,2,1,8,7]=>[6,3,4,5,7,8,1,2]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,5,6,4,2,1,8,7]=>[6,4,3,5,7,8,1,2]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,3,6,5,2,1,8,7]=>[5,6,3,4,7,8,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,4,6,5,2,1,8,7]=>[6,5,3,4,7,8,1,2]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,5,3,6,2,1,8,7]=>[5,4,6,3,7,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,5,6,2,1,8,7]=>[5,6,4,3,7,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,5,6,2,1,8,7]=>[6,5,4,3,7,8,1,2]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,5,4,3,1,8,7]=>[7,3,4,5,6,8,1,2]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,4,6,5,3,1,8,7]=>[7,5,3,4,6,8,1,2]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,4,5,6,3,1,8,7]=>[7,5,4,3,6,8,1,2]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,2,6,5,4,1,8,7]=>[6,7,3,4,5,8,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,2,5,6,4,1,8,7]=>[6,7,4,3,5,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,6,5,4,1,8,7]=>[7,6,3,4,5,8,1,2]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,3,5,6,4,1,8,7]=>[7,6,4,3,5,8,1,2]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,2,6,5,1,8,7]=>[6,5,7,3,4,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,6,5,1,8,7]=>[7,5,6,3,4,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,4,6,5,1,8,7]=>[6,7,5,3,4,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,4,6,5,1,8,7]=>[7,6,5,3,4,8,1,2]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,3,2,6,1,8,7]=>[5,4,6,7,3,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,4,2,6,1,8,7]=>[6,4,5,7,3,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,2,6,1,8,7]=>[5,6,4,7,3,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,5,2,6,1,8,7]=>[6,5,4,7,3,8,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,3,6,1,8,7]=>[7,4,5,6,3,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,3,6,1,8,7]=>[7,5,4,6,3,8,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,4,6,1,8,7]=>[6,7,4,5,3,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,5,4,6,1,8,7]=>[7,6,4,5,3,8,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,5,6,1,8,7]=>[6,5,7,4,3,8,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,5,6,1,8,7]=>[7,5,6,4,3,8,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,5,6,1,8,7]=>[6,7,5,4,3,8,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,4,5,6,1,8,7]=>[7,6,5,4,3,8,1,2]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,5,6,4,3,2,8,7]=>[8,4,3,5,6,7,1,2]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,4,6,5,3,2,8,7]=>[8,5,3,4,6,7,1,2]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,4,5,6,3,2,8,7]=>[8,5,4,3,6,7,1,2]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,6,5,4,2,8,7]=>[8,6,3,4,5,7,1,2]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,3,5,6,4,2,8,7]=>[8,6,4,3,5,7,1,2]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,3,6,5,2,8,7]=>[8,5,6,3,4,7,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,4,5,6,2,8,7]=>[8,6,5,4,3,7,1,2]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,5,6,4,3,8,7]=>[7,8,4,3,5,6,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,4,6,5,3,8,7]=>[7,8,5,3,4,6,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,5,4,6,3,8,7]=>[7,8,4,5,3,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,4,5,6,3,8,7]=>[7,8,5,4,3,6,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,5,4,3,8,7]=>[8,7,3,4,5,6,1,2]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,5,6,4,3,8,7]=>[8,7,4,3,5,6,1,2]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,4,6,5,3,8,7]=>[8,7,5,3,4,6,1,2]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,5,4,6,3,8,7]=>[8,7,4,5,3,6,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,5,6,3,8,7]=>[8,7,5,4,3,6,1,2]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,1,6,5,4,8,7]=>[7,6,8,3,4,5,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,1,5,6,4,8,7]=>[7,6,8,4,3,5,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,6,5,4,8,7]=>[8,6,7,3,4,5,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,2,5,6,4,8,7]=>[8,6,7,4,3,5,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,3,5,6,4,8,7]=>[7,8,6,4,3,5,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,3,5,6,4,8,7]=>[8,7,6,4,3,5,1,2]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,2,1,6,5,8,7]=>[6,5,7,8,3,4,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,1,6,5,8,7]=>[7,5,6,8,3,4,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,1,6,5,8,7]=>[6,7,5,8,3,4,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,4,1,6,5,8,7]=>[7,6,5,8,3,4,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,4,2,6,5,8,7]=>[8,6,5,7,3,4,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,2,4,3,6,5,8,7]=>[8,7,5,6,3,4,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,4,6,5,8,7]=>[7,6,8,5,3,4,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,4,6,5,8,7]=>[7,8,6,5,3,4,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,3,4,6,5,8,7]=>[8,7,6,5,3,4,1,2]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,5,3,2,1,6,8,7]=>[5,4,6,7,8,3,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,5,4,2,1,6,8,7]=>[6,4,5,7,8,3,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,3,5,2,1,6,8,7]=>[5,6,4,7,8,3,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,4,5,2,1,6,8,7]=>[6,5,4,7,8,3,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,4,3,1,6,8,7]=>[7,4,5,6,8,3,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,4,5,3,1,6,8,7]=>[7,5,4,6,8,3,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,5,4,1,6,8,7]=>[6,7,4,5,8,3,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,3,5,4,1,6,8,7]=>[7,6,4,5,8,3,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,2,5,1,6,8,7]=>[6,5,7,4,8,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,5,1,6,8,7]=>[7,5,6,4,8,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,4,5,1,6,8,7]=>[6,7,5,4,8,3,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,4,5,1,6,8,7]=>[7,6,5,4,8,3,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,5,3,2,6,8,7]=>[8,5,4,6,7,3,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,5,4,2,6,8,7]=>[8,6,4,5,7,3,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,3,5,2,6,8,7]=>[8,5,6,4,7,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,2,5,4,3,6,8,7]=>[8,7,4,5,6,3,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,4,5,3,6,8,7]=>[8,7,5,4,6,3,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,1,5,4,6,8,7]=>[7,6,8,4,5,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,2,5,4,6,8,7]=>[8,6,7,4,5,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,3,5,4,6,8,7]=>[8,7,6,4,5,3,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,2,1,5,6,8,7]=>[6,5,7,8,4,3,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,3,1,5,6,8,7]=>[7,5,6,8,4,3,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,4,1,5,6,8,7]=>[6,7,5,8,4,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,3,4,1,5,6,8,7]=>[7,6,5,8,4,3,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,3,2,5,6,8,7]=>[8,5,6,7,4,3,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,4,2,5,6,8,7]=>[8,6,5,7,4,3,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,3,5,6,8,7]=>[7,8,5,6,4,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,2,4,3,5,6,8,7]=>[8,7,5,6,4,3,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,4,5,6,8,7]=>[7,6,8,5,4,3,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,2,4,5,6,8,7]=>[8,6,7,5,4,3,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,2]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [5,7,6,4,3,2,1,8]=>[4,2,3,5,6,7,8,1]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [4,7,6,5,3,2,1,8]=>[5,2,3,4,6,7,8,1]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [4,6,7,5,3,2,1,8]=>[5,3,2,4,6,7,8,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,4,7,6,3,2,1,8]=>[4,5,2,3,6,7,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,5,7,6,3,2,1,8]=>[5,4,2,3,6,7,8,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,6,5,7,3,2,1,8]=>[5,3,4,2,6,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,6,5,4,2,1,8]=>[6,2,3,4,5,7,8,1]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [3,5,7,6,4,2,1,8]=>[6,4,2,3,5,7,8,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,4,7,6,5,2,1,8]=>[6,5,2,3,4,7,8,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,4,6,7,5,2,1,8]=>[6,5,3,2,4,7,8,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,5,3,7,6,2,1,8]=>[5,4,6,2,3,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,4,7,6,2,1,8]=>[6,4,5,2,3,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,5,7,6,2,1,8]=>[5,6,4,2,3,7,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,5,7,6,2,1,8]=>[6,5,4,2,3,7,8,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,6,5,4,7,2,1,8]=>[6,3,4,5,2,7,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,4,7,2,1,8]=>[6,4,3,5,2,7,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,6,5,7,2,1,8]=>[5,6,3,4,2,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,6,5,7,2,1,8]=>[6,5,3,4,2,7,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,6,7,2,1,8]=>[6,4,5,3,2,7,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,6,5,4,3,1,8]=>[7,2,3,4,5,6,8,1]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [2,6,7,5,4,3,1,8]=>[7,3,2,4,5,6,8,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,6,5,7,4,3,1,8]=>[7,3,4,2,5,6,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,6,7,4,3,1,8]=>[7,4,3,2,5,6,8,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,7,6,5,3,1,8]=>[7,5,2,3,4,6,8,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,4,6,7,5,3,1,8]=>[7,5,3,2,4,6,8,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,4,7,6,3,1,8]=>[7,4,5,2,3,6,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,5,7,6,3,1,8]=>[7,5,4,2,3,6,8,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,6,5,4,7,3,1,8]=>[7,3,4,5,2,6,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,6,4,7,3,1,8]=>[7,4,3,5,2,6,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,5,7,3,1,8]=>[7,5,3,4,2,6,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,4,6,7,3,1,8]=>[7,4,5,3,2,6,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,5,6,7,3,1,8]=>[7,5,4,3,2,6,8,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,2,7,6,5,4,1,8]=>[6,7,2,3,4,5,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,2,6,7,5,4,1,8]=>[6,7,3,2,4,5,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,5,7,6,4,1,8]=>[6,7,4,2,3,5,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,5,6,7,4,1,8]=>[6,7,4,3,2,5,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,7,6,5,4,1,8]=>[7,6,2,3,4,5,8,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,3,6,7,5,4,1,8]=>[7,6,3,2,4,5,8,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,3,5,7,6,4,1,8]=>[7,6,4,2,3,5,8,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,3,6,5,7,4,1,8]=>[7,6,3,4,2,5,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,5,6,7,4,1,8]=>[7,6,4,3,2,5,8,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,2,6,7,5,1,8]=>[6,5,7,3,2,4,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,7,6,5,1,8]=>[7,5,6,2,3,4,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,3,6,7,5,1,8]=>[7,5,6,3,2,4,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,6,7,5,1,8]=>[6,7,5,3,2,4,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,4,7,6,5,1,8]=>[7,6,5,2,3,4,8,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,5,3,2,7,6,1,8]=>[5,4,6,7,2,3,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,2,7,6,1,8]=>[6,4,5,7,2,3,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,2,7,6,1,8]=>[5,6,4,7,2,3,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,5,2,7,6,1,8]=>[6,5,4,7,2,3,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,4,3,7,6,1,8]=>[7,4,5,6,2,3,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,5,3,7,6,1,8]=>[7,5,4,6,2,3,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,4,7,6,1,8]=>[6,7,4,5,2,3,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,5,4,7,6,1,8]=>[7,6,4,5,2,3,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,2,5,7,6,1,8]=>[6,5,7,4,2,3,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,5,7,6,1,8]=>[7,5,6,4,2,3,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,5,7,6,1,8]=>[6,7,5,4,2,3,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,4,5,7,6,1,8]=>[7,6,5,4,2,3,8,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [4,6,5,3,2,7,1,8]=>[5,3,4,6,7,2,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,6,5,4,2,7,1,8]=>[6,3,4,5,7,2,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,6,4,2,7,1,8]=>[6,4,3,5,7,2,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,3,6,5,2,7,1,8]=>[5,6,3,4,7,2,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,4,6,5,2,7,1,8]=>[6,5,3,4,7,2,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,4,6,2,7,1,8]=>[6,4,5,3,7,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,4,3,7,1,8]=>[7,3,4,5,6,2,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,4,6,5,3,7,1,8]=>[7,5,3,4,6,2,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,6,3,7,1,8]=>[7,4,5,3,6,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,5,6,3,7,1,8]=>[7,5,4,3,6,2,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,2,5,6,4,7,1,8]=>[6,7,4,3,5,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,5,4,7,1,8]=>[7,6,3,4,5,2,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,5,6,4,7,1,8]=>[7,6,4,3,5,2,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,2,6,5,7,1,8]=>[6,5,7,3,4,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,6,5,7,1,8]=>[7,5,6,3,4,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,4,6,5,7,1,8]=>[7,6,5,3,4,2,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,4,2,6,7,1,8]=>[6,4,5,7,3,2,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,4,3,6,7,1,8]=>[7,4,5,6,3,2,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,3,6,7,1,8]=>[7,5,4,6,3,2,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,5,4,6,7,1,8]=>[6,7,4,5,3,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,3,5,4,6,7,1,8]=>[7,6,4,5,3,2,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,3,5,6,7,1,8]=>[7,5,6,4,3,2,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [1,6,7,5,4,3,2,8]=>[8,3,2,4,5,6,7,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,5,7,6,4,3,2,8]=>[8,4,2,3,5,6,7,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,6,5,7,4,3,2,8]=>[8,3,4,2,5,6,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,5,6,7,4,3,2,8]=>[8,4,3,2,5,6,7,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,7,6,5,3,2,8]=>[8,5,2,3,4,6,7,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,5,4,7,6,3,2,8]=>[8,4,5,2,3,6,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,4,5,7,6,3,2,8]=>[8,5,4,2,3,6,7,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,5,4,7,3,2,8]=>[8,3,4,5,2,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,6,4,7,3,2,8]=>[8,4,3,5,2,6,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,6,5,7,3,2,8]=>[8,5,3,4,2,6,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,4,6,7,3,2,8]=>[8,4,5,3,2,6,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,5,6,7,3,2,8]=>[8,5,4,3,2,6,7,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,7,6,5,4,2,8]=>[8,6,2,3,4,5,7,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,3,5,7,6,4,2,8]=>[8,6,4,2,3,5,7,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,3,5,6,7,4,2,8]=>[8,6,4,3,2,5,7,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,4,6,7,5,2,8]=>[8,6,5,3,2,4,7,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,5,3,7,6,2,8]=>[8,5,4,6,2,3,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,5,4,7,6,2,8]=>[8,6,4,5,2,3,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,5,7,6,2,8]=>[8,5,6,4,2,3,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,4,5,7,6,2,8]=>[8,6,5,4,2,3,7,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,6,5,4,3,7,2,8]=>[8,3,4,5,6,2,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,5,6,4,3,7,2,8]=>[8,4,3,5,6,2,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,6,5,3,7,2,8]=>[8,5,3,4,6,2,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,4,6,3,7,2,8]=>[8,4,5,3,6,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,5,6,3,7,2,8]=>[8,5,4,3,6,2,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,5,4,7,2,8]=>[8,6,3,4,5,2,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,5,6,4,7,2,8]=>[8,6,4,3,5,2,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,3,6,5,7,2,8]=>[8,5,6,3,4,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,4,6,5,7,2,8]=>[8,6,5,3,4,2,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,3,6,7,2,8]=>[8,5,4,6,3,2,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,5,4,6,7,2,8]=>[8,6,4,5,3,2,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,3,5,6,7,2,8]=>[8,5,6,4,3,2,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,5,6,7,2,8]=>[8,6,5,4,3,2,7,1]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,1,6,7,5,4,3,8]=>[7,8,3,2,4,5,6,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,5,7,6,4,3,8]=>[7,8,4,2,3,5,6,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,6,5,7,4,3,8]=>[7,8,3,4,2,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,5,6,7,4,3,8]=>[7,8,4,3,2,5,6,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,4,7,6,5,3,8]=>[7,8,5,2,3,4,6,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,5,4,7,6,3,8]=>[7,8,4,5,2,3,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,4,5,7,6,3,8]=>[7,8,5,4,2,3,6,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,5,4,7,3,8]=>[7,8,3,4,5,2,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,5,6,4,7,3,8]=>[7,8,4,3,5,2,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,6,5,7,3,8]=>[7,8,5,3,4,2,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,5,6,7,3,8]=>[7,8,5,4,3,2,6,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,2,6,5,7,4,3,8]=>[8,7,3,4,2,5,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,5,6,7,4,3,8]=>[8,7,4,3,2,5,6,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,4,6,7,5,3,8]=>[8,7,5,3,2,4,6,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,4,5,7,6,3,8]=>[8,7,5,4,2,3,6,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,5,6,4,7,3,8]=>[8,7,4,3,5,2,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,6,5,7,3,8]=>[8,7,5,3,4,2,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,5,6,7,3,8]=>[8,7,5,4,3,2,6,1]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,3,1,7,6,5,4,8]=>[7,6,8,2,3,4,5,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,3,1,5,7,6,4,8]=>[7,6,8,4,2,3,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,6,5,7,4,8]=>[7,6,8,3,4,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,5,6,7,4,8]=>[7,6,8,4,3,2,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,2,5,7,6,4,8]=>[8,6,7,4,2,3,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,2,6,5,7,4,8]=>[8,6,7,3,4,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,5,6,7,4,8]=>[8,6,7,4,3,2,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,7,6,5,4,8]=>[7,8,6,2,3,4,5,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,3,6,7,5,4,8]=>[7,8,6,3,2,4,5,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,3,6,5,7,4,8]=>[7,8,6,3,4,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,3,5,6,7,4,8]=>[7,8,6,4,3,2,5,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,3,6,7,5,4,8]=>[8,7,6,3,2,4,5,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,3,5,7,6,4,8]=>[8,7,6,4,2,3,5,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,3,6,5,7,4,8]=>[8,7,6,3,4,2,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,3,5,6,7,4,8]=>[8,7,6,4,3,2,5,1]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [3,4,2,1,7,6,5,8]=>[6,5,7,8,2,3,4,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,2,1,6,7,5,8]=>[6,5,7,8,3,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,3,1,6,7,5,8]=>[7,5,6,8,3,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,1,7,6,5,8]=>[6,7,5,8,2,3,4,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,4,1,6,7,5,8]=>[6,7,5,8,3,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,3,4,1,7,6,5,8]=>[7,6,5,8,2,3,4,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,4,1,6,7,5,8]=>[7,6,5,8,3,2,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,3,7,6,5,8]=>[7,8,5,6,2,3,4,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,4,3,6,7,5,8]=>[7,8,5,6,3,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,4,3,6,7,5,8]=>[8,7,5,6,3,2,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,4,7,6,5,8]=>[7,6,8,5,2,3,4,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,4,6,7,5,8]=>[7,6,8,5,3,2,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,2,4,6,7,5,8]=>[8,6,7,5,3,2,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,4,6,7,5,8]=>[7,8,6,5,3,2,4,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,3,4,6,7,5,8]=>[8,7,6,5,3,2,4,1]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [4,5,3,2,1,7,6,8]=>[5,4,6,7,8,2,3,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,4,2,1,7,6,8]=>[6,4,5,7,8,2,3,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,3,5,2,1,7,6,8]=>[5,6,4,7,8,2,3,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,4,5,2,1,7,6,8]=>[6,5,4,7,8,2,3,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,3,1,7,6,8]=>[7,4,5,6,8,2,3,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,4,5,3,1,7,6,8]=>[7,5,4,6,8,2,3,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,5,4,1,7,6,8]=>[6,7,4,5,8,2,3,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,3,5,4,1,7,6,8]=>[7,6,4,5,8,2,3,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,2,5,1,7,6,8]=>[6,5,7,4,8,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,5,1,7,6,8]=>[7,5,6,4,8,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,4,5,1,7,6,8]=>[6,7,5,4,8,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,4,5,1,7,6,8]=>[7,6,5,4,8,2,3,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,3,5,4,2,7,6,8]=>[8,6,4,5,7,2,3,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,3,5,2,7,6,8]=>[8,5,6,4,7,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,4,5,2,7,6,8]=>[8,6,5,4,7,2,3,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,1,5,4,3,7,6,8]=>[7,8,4,5,6,2,3,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,5,4,3,7,6,8]=>[8,7,4,5,6,2,3,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,4,5,3,7,6,8]=>[8,7,5,4,6,2,3,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,1,5,4,7,6,8]=>[7,6,8,4,5,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,3,5,4,7,6,8]=>[7,8,6,4,5,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,3,5,4,7,6,8]=>[8,7,6,4,5,2,3,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,2,1,5,7,6,8]=>[6,5,7,8,4,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,3,1,5,7,6,8]=>[7,5,6,8,4,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,1,5,7,6,8]=>[6,7,5,8,4,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,3,4,1,5,7,6,8]=>[7,6,5,8,4,2,3,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,2,5,7,6,8]=>[8,6,5,7,4,2,3,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,3,5,7,6,8]=>[8,7,5,6,4,2,3,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,4,5,7,6,8]=>[7,6,8,5,4,2,3,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,4,5,7,6,8]=>[7,8,6,5,4,2,3,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [4,6,5,3,2,1,7,8]=>[5,3,4,6,7,8,2,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,6,5,4,2,1,7,8]=>[6,3,4,5,7,8,2,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,5,6,4,2,1,7,8]=>[6,4,3,5,7,8,2,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,4,6,5,2,1,7,8]=>[6,5,3,4,7,8,2,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,6,5,4,3,1,7,8]=>[7,3,4,5,6,8,2,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,4,6,5,3,1,7,8]=>[7,5,3,4,6,8,2,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,4,5,6,3,1,7,8]=>[7,5,4,3,6,8,2,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,6,5,4,1,7,8]=>[7,6,3,4,5,8,2,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,3,5,6,4,1,7,8]=>[7,6,4,3,5,8,2,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,2,6,5,1,7,8]=>[6,5,7,3,4,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,4,6,5,1,7,8]=>[7,6,5,3,4,8,2,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,4,2,6,1,7,8]=>[6,4,5,7,3,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,3,6,1,7,8]=>[7,4,5,6,3,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,5,3,6,1,7,8]=>[7,5,4,6,3,8,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,4,6,1,7,8]=>[6,7,4,5,3,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,3,5,4,6,1,7,8]=>[7,6,4,5,3,8,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,3,5,6,1,7,8]=>[7,5,6,4,3,8,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,5,6,4,3,2,7,8]=>[8,4,3,5,6,7,2,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,6,5,3,2,7,8]=>[8,5,3,4,6,7,2,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,5,6,3,2,7,8]=>[8,5,4,3,6,7,2,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,6,5,4,2,7,8]=>[8,6,3,4,5,7,2,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,3,5,6,4,2,7,8]=>[8,6,4,3,5,7,2,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,3,6,5,2,7,8]=>[8,5,6,3,4,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,4,5,3,6,2,7,8]=>[8,5,4,6,3,7,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,5,4,6,2,7,8]=>[8,6,4,5,3,7,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,3,5,6,2,7,8]=>[8,5,6,4,3,7,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,5,6,2,7,8]=>[8,6,5,4,3,7,2,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,1,5,6,4,3,7,8]=>[7,8,4,3,5,6,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,4,6,5,3,7,8]=>[7,8,5,3,4,6,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,4,5,6,3,7,8]=>[7,8,5,4,3,6,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,2,5,6,4,3,7,8]=>[8,7,4,3,5,6,2,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,4,6,5,3,7,8]=>[8,7,5,3,4,6,2,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,5,4,6,3,7,8]=>[8,7,4,5,3,6,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,1,6,5,4,7,8]=>[7,6,8,3,4,5,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,1,5,6,4,7,8]=>[7,6,8,4,3,5,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,2,5,6,4,7,8]=>[8,6,7,4,3,5,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,3,6,5,4,7,8]=>[7,8,6,3,4,5,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,3,5,6,4,7,8]=>[7,8,6,4,3,5,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,3,5,6,4,7,8]=>[8,7,6,4,3,5,2,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,4,2,1,6,5,7,8]=>[6,5,7,8,3,4,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,1,6,5,7,8]=>[6,7,5,8,3,4,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,3,4,1,6,5,7,8]=>[7,6,5,8,3,4,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,2,6,5,7,8]=>[8,6,5,7,3,4,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,4,6,5,7,8]=>[7,6,8,5,3,4,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,2,4,6,5,7,8]=>[8,6,7,5,3,4,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,3,4,6,5,7,8]=>[7,8,6,5,3,4,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,3,4,6,5,7,8]=>[8,7,6,5,3,4,2,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,5,4,2,1,6,7,8]=>[6,4,5,7,8,3,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,5,4,3,1,6,7,8]=>[7,4,5,6,8,3,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,4,5,3,1,6,7,8]=>[7,5,4,6,8,3,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,2,5,4,1,6,7,8]=>[6,7,4,5,8,3,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,3,5,4,1,6,7,8]=>[7,6,4,5,8,3,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,4,3,5,1,6,7,8]=>[7,5,6,4,8,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,4,5,3,2,6,7,8]=>[8,5,4,6,7,3,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,3,5,4,2,6,7,8]=>[8,6,4,5,7,3,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,4,3,5,2,6,7,8]=>[8,5,6,4,7,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,4,5,2,6,7,8]=>[8,6,5,4,7,3,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,1,5,4,3,6,7,8]=>[7,8,4,5,6,3,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,1,4,5,3,6,7,8]=>[7,8,5,4,6,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,2,4,5,3,6,7,8]=>[8,7,5,4,6,3,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,3,1,5,4,6,7,8]=>[7,6,8,4,5,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,2,5,4,6,7,8]=>[8,6,7,4,5,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,1,3,5,4,6,7,8]=>[7,8,6,4,5,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,3,1,5,6,7,8]=>[7,5,6,8,4,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,3,4,2,5,6,7,8]=>[8,6,5,7,4,3,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,1,4,3,5,6,7,8]=>[7,8,5,6,4,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,7,5,6,4,8]=>[8,7,6,2,4,3,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,3,7,5,6,8,4]=>[8,7,6,2,4,3,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,4,3,8,6,7,5]=>[8,7,5,6,1,3,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,5,8,6,7,3]=>[8,7,5,4,1,3,2,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,7,5,6,3,8]=>[8,7,5,2,4,3,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,7,5,6,8,3]=>[8,7,5,2,4,3,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,4,8,5,7,6,3]=>[8,7,5,1,4,2,3,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,4,8,6,5,7,3]=>[8,7,5,1,3,4,2,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,5,4,8,6,7,3]=>[8,7,4,5,1,3,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,6,4,5,7,3,8]=>[8,7,3,5,4,2,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,6,4,5,7,8,3]=>[8,7,3,5,4,2,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,6,4,5,8,7,3]=>[8,7,3,5,4,1,2,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,7,4,5,6,8,3]=>[8,7,2,5,4,3,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,8,4,5,6,7,3]=>[8,7,1,5,4,3,2,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,7,4,6,5,8,3]=>[8,7,2,5,3,4,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,8,5,4,7,6,3]=>[8,7,1,4,5,2,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,7,5,6,4,3,8]=>[8,7,2,4,3,5,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,5,6,4,8,3]=>[8,7,2,4,3,5,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,8,5,6,4,7,3]=>[8,7,1,4,3,5,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,8,5,6,7,4,3]=>[8,7,1,4,3,2,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,8,5,7,6,4,3]=>[8,7,1,4,2,3,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,8,6,5,7,4,3]=>[8,7,1,3,4,2,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,5,8,6,7,4]=>[8,6,7,4,1,3,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,7,5,6,4,8]=>[8,6,7,2,4,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,2,8,6,7,5,4]=>[8,6,7,1,3,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,4,2,8,6,7,5]=>[8,6,5,7,1,3,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,4,5,8,6,7,2]=>[8,6,5,4,1,3,2,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,7,5,6,2,8]=>[8,6,5,2,4,3,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,4,7,5,6,8,2]=>[8,6,5,2,4,3,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,4,8,5,7,6,2]=>[8,6,5,1,4,2,3,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,4,8,6,5,7,2]=>[8,6,5,1,3,4,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,4,8,6,7,5,2]=>[8,6,5,1,3,2,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,5,4,8,6,7,2]=>[8,6,4,5,1,3,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,4,5,2,7,8]=>[8,6,3,5,4,7,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,6,4,5,2,8,7]=>[8,6,3,5,4,7,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,4,5,7,2,8]=>[8,6,3,5,4,2,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,6,4,5,7,8,2]=>[8,6,3,5,4,2,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,7,4,5,6,2,8]=>[8,6,2,5,4,3,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,7,4,6,5,2,8]=>[8,6,2,5,3,4,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,7,4,6,5,8,2]=>[8,6,2,5,3,4,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,8,4,7,6,5,2]=>[8,6,1,5,2,3,4,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,7,5,4,6,2,8]=>[8,6,2,4,5,3,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,7,5,4,6,8,2]=>[8,6,2,4,5,3,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,8,5,4,6,7,2]=>[8,6,1,4,5,3,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,8,5,4,7,6,2]=>[8,6,1,4,5,2,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,7,5,6,4,8,2]=>[8,6,2,4,3,5,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,5,6,4,7,2]=>[8,6,1,4,3,5,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,5,6,7,4,2]=>[8,6,1,4,3,2,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,8,5,7,6,4,2]=>[8,6,1,4,2,3,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,8,6,5,7,4,2]=>[8,6,1,3,4,2,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,8,7,5,6,4,2]=>[8,6,1,2,4,3,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,5,8,6,7,2]=>[8,5,6,4,1,3,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,7,5,6,2,8]=>[8,5,6,2,4,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,3,8,5,7,6,2]=>[8,5,6,1,4,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,3,8,6,5,7,2]=>[8,5,6,1,3,4,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,3,8,6,7,5,2]=>[8,5,6,1,3,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,3,4,2,6,7,8]=>[8,4,6,5,7,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,3,4,2,6,8,7]=>[8,4,6,5,7,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,3,4,2,7,8,6]=>[8,4,6,5,7,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,3,4,6,7,2,8]=>[8,4,6,5,3,2,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,4,6,7,8,2]=>[8,4,6,5,3,2,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,5,3,4,7,6,2,8]=>[8,4,6,5,2,3,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,4,8,6,7,2]=>[8,4,6,5,1,3,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,3,4,5,2,8,7]=>[8,3,6,5,4,7,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,4,5,7,2,8]=>[8,3,6,5,4,2,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,6,3,4,5,7,8,2]=>[8,3,6,5,4,2,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,6,3,4,5,8,7,2]=>[8,3,6,5,4,1,2,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,3,4,5,6,8,2]=>[8,2,6,5,4,3,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,8,3,4,5,7,6,2]=>[8,1,6,5,4,2,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,8,3,4,6,7,5,2]=>[8,1,6,5,3,2,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,6,3,5,4,2,7,8]=>[8,3,6,4,5,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,3,5,4,7,2,8]=>[8,3,6,4,5,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,3,5,4,7,8,2]=>[8,3,6,4,5,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,3,5,4,8,7,2]=>[8,3,6,4,5,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,5,4,6,8,2]=>[8,2,6,4,5,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,3,5,6,4,8,2]=>[8,2,6,4,3,5,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,5,6,4,7,2]=>[8,1,6,4,3,5,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,5,6,7,4,2]=>[8,1,6,4,3,2,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,8,3,5,7,6,4,2]=>[8,1,6,4,2,3,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,3,6,5,4,8,2]=>[8,2,6,3,4,5,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,3,6,5,7,4,2]=>[8,1,6,3,4,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,4,3,5,2,8,7]=>[8,3,5,6,4,7,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,3,5,8,7,2]=>[8,3,5,6,4,1,2,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,4,3,5,6,8,2]=>[8,2,5,6,4,3,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,8,4,3,5,7,6,2]=>[8,1,5,6,4,2,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,4,3,6,5,2,8]=>[8,2,5,6,3,4,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,3,6,5,8,2]=>[8,2,5,6,3,4,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,3,6,5,7,2]=>[8,1,5,6,3,4,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,3,6,7,5,2]=>[8,1,5,6,3,2,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,4,5,3,2,7,8]=>[8,3,5,4,6,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,4,5,3,2,8,7]=>[8,3,5,4,6,7,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,4,5,3,7,2,8]=>[8,3,5,4,6,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,4,5,3,8,7,2]=>[8,3,5,4,6,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,4,5,3,6,8,2]=>[8,2,5,4,6,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,4,5,3,6,7,2]=>[8,1,5,4,6,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,4,5,3,7,6,2]=>[8,1,5,4,6,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,4,5,6,3,2,8]=>[8,2,5,4,3,6,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,5,6,3,8,2]=>[8,2,5,4,3,6,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,5,6,3,7,2]=>[8,1,5,4,3,6,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,5,6,7,3,2]=>[8,1,5,4,3,2,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,7,4,6,5,3,2,8]=>[8,2,5,3,4,6,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,4,6,5,3,8,2]=>[8,2,5,3,4,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,4,6,5,3,7,2]=>[8,1,5,3,4,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,4,7,5,6,3,2]=>[8,1,5,2,4,3,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,4,7,6,5,3,2]=>[8,1,5,2,3,4,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,7,5,4,3,6,2,8]=>[8,2,4,5,6,3,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,5,4,3,6,8,2]=>[8,2,4,5,6,3,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,7,5,4,6,3,2,8]=>[8,2,4,5,3,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,4,6,3,7,2]=>[8,1,4,5,3,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,4,6,7,3,2]=>[8,1,4,5,3,2,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,5,4,7,6,3,2]=>[8,1,4,5,2,3,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,8,6,5,4,7,3,2]=>[8,1,3,4,5,2,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,7,5,6,4,3,2]=>[8,1,2,4,3,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,1,3,4,8,6,7,5]=>[7,8,6,5,1,3,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,5,8,6,7,4]=>[7,8,6,4,1,3,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,3,8,6,5,7,4]=>[7,8,6,1,3,4,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,3,8,6,7,5,4]=>[7,8,6,1,3,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,4,5,8,6,7,3]=>[7,8,5,4,1,3,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,7,5,6,3,8]=>[7,8,5,2,4,3,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,8,5,6,7,3]=>[7,8,5,1,4,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,4,8,5,7,6,3]=>[7,8,5,1,4,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,8,6,5,7,3]=>[7,8,5,1,3,4,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,4,8,6,7,5,3]=>[7,8,5,1,3,2,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,4,8,6,7,3]=>[7,8,4,5,1,3,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,4,5,3,7,8]=>[7,8,3,5,4,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,4,5,7,8,3]=>[7,8,3,5,4,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,6,4,5,8,7,3]=>[7,8,3,5,4,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,1,7,4,5,6,8,3]=>[7,8,2,5,4,3,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,8,4,5,6,7,3]=>[7,8,1,5,4,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,7,4,6,5,8,3]=>[7,8,2,5,3,4,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,4,6,7,5,3]=>[7,8,1,5,3,2,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,7,5,6,4,3,8]=>[7,8,2,4,3,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,7,5,6,4,8,3]=>[7,8,2,4,3,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,5,6,4,7,3]=>[7,8,1,4,3,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,5,6,7,4,3]=>[7,8,1,4,3,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,8,5,7,6,4,3]=>[7,8,1,4,2,3,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,8,6,5,7,4,3]=>[7,8,1,3,4,2,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,3,1,4,8,6,7,5]=>[7,6,8,5,1,3,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,5,8,6,7,4]=>[7,6,8,4,1,3,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,7,5,6,4,8]=>[7,6,8,2,4,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,8,5,6,7,4]=>[7,6,8,1,4,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,1,8,5,7,6,4]=>[7,6,8,1,4,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,1,8,6,5,7,4]=>[7,6,8,1,3,4,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,1,8,6,7,5,4]=>[7,6,8,1,3,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,4,1,8,6,7,5]=>[7,6,5,8,1,3,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,4,5,8,6,7,1]=>[7,6,5,4,1,3,2,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,7,5,6,1,8]=>[7,6,5,2,4,3,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,7,5,6,8,1]=>[7,6,5,2,4,3,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,4,8,5,6,7,1]=>[7,6,5,1,4,3,2,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,4,8,5,7,6,1]=>[7,6,5,1,4,2,3,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,4,8,6,5,7,1]=>[7,6,5,1,3,4,2,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,4,8,6,7,5,1]=>[7,6,5,1,3,2,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,6,4,5,1,7,8]=>[7,6,3,5,4,8,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,6,4,5,1,8,7]=>[7,6,3,5,4,8,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,6,4,5,7,1,8]=>[7,6,3,5,4,2,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,6,4,5,7,8,1]=>[7,6,3,5,4,2,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,6,4,5,8,7,1]=>[7,6,3,5,4,1,2,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,7,4,5,6,1,8]=>[7,6,2,5,4,3,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,7,4,5,6,8,1]=>[7,6,2,5,4,3,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,8,4,5,6,7,1]=>[7,6,1,5,4,3,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,7,4,6,5,8,1]=>[7,6,2,5,3,4,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,4,6,5,7,1]=>[7,6,1,5,3,4,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,4,7,6,5,1]=>[7,6,1,5,2,3,4,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,7,5,4,6,1,8]=>[7,6,2,4,5,3,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,7,5,4,6,8,1]=>[7,6,2,4,5,3,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,8,5,4,6,7,1]=>[7,6,1,4,5,3,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,8,5,4,7,6,1]=>[7,6,1,4,5,2,3,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,3,7,5,6,4,1,8]=>[7,6,2,4,3,5,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,7,5,6,4,8,1]=>[7,6,2,4,3,5,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,5,6,4,7,1]=>[7,6,1,4,3,5,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,5,6,7,4,1]=>[7,6,1,4,3,2,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,8,5,7,6,4,1]=>[7,6,1,4,2,3,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,8,6,5,7,4,1]=>[7,6,1,3,4,2,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,3,8,7,5,6,4,1]=>[7,6,1,2,4,3,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,3,1,8,6,7,5]=>[7,5,6,8,1,3,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,5,8,6,7,1]=>[7,5,6,4,1,3,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,7,5,6,1,8]=>[7,5,6,2,4,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,7,5,6,8,1]=>[7,5,6,2,4,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,8,5,6,7,1]=>[7,5,6,1,4,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,8,5,7,6,1]=>[7,5,6,1,4,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,3,8,6,5,7,1]=>[7,5,6,1,3,4,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,8,6,7,5,1]=>[7,5,6,1,3,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,3,4,1,6,7,8]=>[7,4,6,5,8,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,3,4,1,6,8,7]=>[7,4,6,5,8,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,3,4,1,7,6,8]=>[7,4,6,5,8,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,3,4,1,7,8,6]=>[7,4,6,5,8,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,3,4,1,8,7,6]=>[7,4,6,5,8,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,3,4,6,1,7,8]=>[7,4,6,5,3,8,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,3,4,6,7,1,8]=>[7,4,6,5,3,2,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,4,6,7,8,1]=>[7,4,6,5,3,2,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,5,3,4,7,6,8,1]=>[7,4,6,5,2,3,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,4,8,6,7,1]=>[7,4,6,5,1,3,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,4,8,7,6,1]=>[7,4,6,5,1,2,3,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,6,3,4,5,1,7,8]=>[7,3,6,5,4,8,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,4,5,7,1,8]=>[7,3,6,5,4,2,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,6,3,4,5,7,8,1]=>[7,3,6,5,4,2,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,6,3,4,5,8,7,1]=>[7,3,6,5,4,1,2,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,3,4,5,6,1,8]=>[7,2,6,5,4,3,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,7,3,4,5,6,8,1]=>[7,2,6,5,4,3,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,8,3,4,5,6,7,1]=>[7,1,6,5,4,3,2,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,8,3,4,5,7,6,1]=>[7,1,6,5,4,2,3,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,3,4,6,5,1,8]=>[7,2,6,5,3,4,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,3,4,6,5,8,1]=>[7,2,6,5,3,4,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,3,4,7,6,5,1]=>[7,1,6,5,2,3,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,6,3,5,4,1,7,8]=>[7,3,6,4,5,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,3,5,4,1,8,7]=>[7,3,6,4,5,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,3,5,4,7,1,8]=>[7,3,6,4,5,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,3,5,4,7,8,1]=>[7,3,6,4,5,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,3,5,4,8,7,1]=>[7,3,6,4,5,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,3,5,4,6,8,1]=>[7,2,6,4,5,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,3,5,4,7,6,1]=>[7,1,6,4,5,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,3,5,6,4,1,8]=>[7,2,6,4,3,5,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,3,5,6,4,8,1]=>[7,2,6,4,3,5,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,3,5,6,7,4,1]=>[7,1,6,4,3,2,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,8,3,5,7,6,4,1]=>[7,1,6,4,2,3,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,7,3,6,5,4,1,8]=>[7,2,6,3,4,5,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,7,3,6,5,4,8,1]=>[7,2,6,3,4,5,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,3,6,5,4,7,1]=>[7,1,6,3,4,5,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,3,7,6,5,4,1]=>[7,1,6,2,3,4,5,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,5,4,3,8,6,7,1]=>[7,4,5,6,1,3,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,3,5,1,8,7]=>[7,3,5,6,4,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,3,5,7,1,8]=>[7,3,5,6,4,2,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,4,3,5,7,8,1]=>[7,3,5,6,4,2,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,4,3,5,8,7,1]=>[7,3,5,6,4,1,2,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,4,3,5,6,8,1]=>[7,2,5,6,4,3,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,4,3,5,6,7,1]=>[7,1,5,6,4,3,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,4,3,5,7,6,1]=>[7,1,5,6,4,2,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,4,3,6,5,1,8]=>[7,2,5,6,3,4,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,3,6,5,8,1]=>[7,2,5,6,3,4,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,4,3,6,5,7,1]=>[7,1,5,6,3,4,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,4,3,6,7,5,1]=>[7,1,5,6,3,2,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,4,3,7,6,5,1]=>[7,1,5,6,2,3,4,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,4,5,3,1,7,8]=>[7,3,5,4,6,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,4,5,3,1,8,7]=>[7,3,5,4,6,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,4,5,3,7,1,8]=>[7,3,5,4,6,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,5,3,7,8,1]=>[7,3,5,4,6,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,4,5,3,8,7,1]=>[7,3,5,4,6,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,4,5,3,6,1,8]=>[7,2,5,4,6,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,4,5,3,6,8,1]=>[7,2,5,4,6,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,4,5,3,6,7,1]=>[7,1,5,4,6,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,4,5,3,7,6,1]=>[7,1,5,4,6,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,4,5,6,3,1,8]=>[7,2,5,4,3,6,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,5,6,3,8,1]=>[7,2,5,4,3,6,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,4,5,6,3,7,1]=>[7,1,5,4,3,6,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,4,5,7,6,3,1]=>[7,1,5,4,2,3,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,7,4,6,5,3,8,1]=>[7,2,5,3,4,6,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,4,7,5,6,3,1]=>[7,1,5,2,4,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,4,7,6,5,3,1]=>[7,1,5,2,3,4,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,7,5,4,3,6,1,8]=>[7,2,4,5,6,3,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,5,4,3,6,8,1]=>[7,2,4,5,6,3,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,8,5,4,3,7,6,1]=>[7,1,4,5,6,2,3,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,7,5,4,6,3,1,8]=>[7,2,4,5,3,6,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,5,4,6,3,8,1]=>[7,2,4,5,3,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,4,6,3,7,1]=>[7,1,4,5,3,6,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,4,7,6,3,1]=>[7,1,4,5,2,3,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,6,4,5,3,8,1]=>[7,2,3,5,4,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,4,5,3,7,1]=>[7,1,3,5,4,6,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,4,5,7,3,1]=>[7,1,3,5,4,2,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,7,4,6,5,3,1]=>[7,1,2,5,3,4,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,6,5,4,3,7,1]=>[7,1,3,4,5,6,2,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,8,6,5,4,7,3,1]=>[7,1,3,4,5,2,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,7,5,4,6,3,1]=>[7,1,2,4,5,3,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,7,5,6,4,3,1]=>[7,1,2,4,3,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,2,4,1,8,6,7,5]=>[6,7,5,8,1,3,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,4,7,5,6,8,1]=>[6,7,5,2,4,3,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,4,8,5,6,7,1]=>[6,7,5,1,4,3,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,4,8,6,7,5,1]=>[6,7,5,1,3,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,5,4,8,6,7,1]=>[6,7,4,5,1,3,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,4,5,1,7,8]=>[6,7,3,5,4,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,6,4,5,1,8,7]=>[6,7,3,5,4,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,4,5,7,1,8]=>[6,7,3,5,4,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,6,4,5,7,8,1]=>[6,7,3,5,4,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,2,6,4,5,8,7,1]=>[6,7,3,5,4,1,2,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,7,4,5,6,1,8]=>[6,7,2,5,4,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,8,4,5,6,7,1]=>[6,7,1,5,4,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,2,7,4,6,5,1,8]=>[6,7,2,5,3,4,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,7,4,6,5,8,1]=>[6,7,2,5,3,4,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,4,6,5,7,1]=>[6,7,1,5,3,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,4,7,6,5,1]=>[6,7,1,5,2,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,2,7,5,4,6,1,8]=>[6,7,2,4,5,3,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,7,5,4,6,8,1]=>[6,7,2,4,5,3,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,8,5,4,6,7,1]=>[6,7,1,4,5,3,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,7,5,6,4,1,8]=>[6,7,2,4,3,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,7,5,6,4,8,1]=>[6,7,2,4,3,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,5,6,4,7,1]=>[6,7,1,4,3,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,5,6,7,4,1]=>[6,7,1,4,3,2,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,8,5,7,6,4,1]=>[6,7,1,4,2,3,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,2,8,6,5,7,4,1]=>[6,7,1,3,4,2,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,8,7,5,6,4,1]=>[6,7,1,2,4,3,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,2,3,1,5,6,8,7]=>[5,7,6,8,4,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,3,1,5,7,8,6]=>[5,7,6,8,4,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,3,1,6,7,5,8]=>[5,7,6,8,3,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,3,1,6,7,8,5]=>[5,7,6,8,3,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,3,1,6,8,7,5]=>[5,7,6,8,3,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,3,1,7,6,8,5]=>[5,7,6,8,2,3,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,2,3,5,1,6,8,7]=>[5,7,6,4,8,3,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,3,5,1,7,6,8]=>[5,7,6,4,8,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,3,5,1,7,8,6]=>[5,7,6,4,8,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,3,5,1,8,7,6]=>[5,7,6,4,8,1,2,3]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,3,5,6,1,8,7]=>[5,7,6,4,3,8,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,5,6,8,7,1]=>[5,7,6,4,3,1,2,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,2,3,5,7,6,8,1]=>[5,7,6,4,2,3,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,5,8,7,6,1]=>[5,7,6,4,1,2,3,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,2,3,6,5,1,8,7]=>[5,7,6,3,4,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,3,6,5,7,1,8]=>[5,7,6,3,4,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,3,6,5,8,7,1]=>[5,7,6,3,4,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,3,7,5,6,8,1]=>[5,7,6,2,4,3,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,3,8,5,6,7,1]=>[5,7,6,1,4,3,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,3,8,5,7,6,1]=>[5,7,6,1,4,2,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,3,7,6,5,8,1]=>[5,7,6,2,3,4,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,3,8,6,7,5,1]=>[5,7,6,1,3,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,3,8,7,6,5,1]=>[5,7,6,1,2,3,4,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,3,4,1,7,8,6]=>[4,7,6,5,8,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,3,4,6,1,8,7]=>[4,7,6,5,3,8,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,4,6,8,7,1]=>[4,7,6,5,3,1,2,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,3,4,7,6,1,8]=>[4,7,6,5,2,3,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,3,4,7,6,8,1]=>[4,7,6,5,2,3,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,4,8,6,7,1]=>[4,7,6,5,1,3,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,4,8,7,6,1]=>[4,7,6,5,1,2,3,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,3,4,5,1,8,7]=>[3,7,6,5,4,8,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,4,5,8,7,1]=>[3,7,6,5,4,1,2,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,4,6,5,8,1]=>[2,7,6,5,3,4,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,4,6,5,7,1]=>[1,7,6,5,3,4,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,4,6,7,5,1]=>[1,7,6,5,3,2,4,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,2,3,4,7,6,5,1]=>[1,7,6,5,2,3,4,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,3,5,4,1,8,7]=>[3,7,6,4,5,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,3,5,4,7,1,8]=>[3,7,6,4,5,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,5,4,8,7,1]=>[3,7,6,4,5,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,3,5,4,7,6,1]=>[1,7,6,4,5,2,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,5,6,4,1,8]=>[2,7,6,4,3,5,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,3,5,6,7,4,1]=>[1,7,6,4,3,2,5,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,2,3,5,7,6,4,1]=>[1,7,6,4,2,3,5,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,3,6,5,4,8,1]=>[2,7,6,3,4,5,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,3,6,5,7,4,1]=>[1,7,6,3,4,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,4,3,6,1,7,8]=>[4,7,5,6,3,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,4,3,6,1,8,7]=>[4,7,5,6,3,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,4,3,6,7,1,8]=>[4,7,5,6,3,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,4,3,6,7,8,1]=>[4,7,5,6,3,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,2,4,3,6,8,7,1]=>[4,7,5,6,3,1,2,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,2,4,3,7,6,1,8]=>[4,7,5,6,2,3,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,4,3,7,6,8,1]=>[4,7,5,6,2,3,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,4,3,5,1,7,8]=>[3,7,5,6,4,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,4,3,5,7,1,8]=>[3,7,5,6,4,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,4,3,5,7,8,1]=>[3,7,5,6,4,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,2,4,3,5,8,7,1]=>[3,7,5,6,4,1,2,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,2,4,3,5,6,1,8]=>[2,7,5,6,4,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,2,4,3,5,7,6,1]=>[1,7,5,6,4,2,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,2,4,3,6,5,1,8]=>[2,7,5,6,3,4,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,4,3,6,5,8,1]=>[2,7,5,6,3,4,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,3,6,7,5,1]=>[1,7,5,6,3,2,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,2,4,5,3,1,7,8]=>[3,7,5,4,6,8,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,4,5,3,1,8,7]=>[3,7,5,4,6,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,4,5,3,7,1,8]=>[3,7,5,4,6,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,5,3,7,8,1]=>[3,7,5,4,6,2,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,4,5,3,8,7,1]=>[3,7,5,4,6,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,4,5,3,6,1,8]=>[2,7,5,4,6,3,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,4,5,3,7,6,1]=>[1,7,5,4,6,2,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,4,5,6,3,1,8]=>[2,7,5,4,3,6,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,4,5,6,3,8,1]=>[2,7,5,4,3,6,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,4,5,6,3,7,1]=>[1,7,5,4,3,6,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,4,5,6,7,3,1]=>[1,7,5,4,3,2,6,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,4,6,5,3,1,8]=>[2,7,5,3,4,6,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,4,6,5,3,8,1]=>[2,7,5,3,4,6,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,4,7,5,6,3,1]=>[1,7,5,2,4,3,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,4,7,6,5,3,1]=>[1,7,5,2,3,4,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,2,5,4,3,1,7,8]=>[3,7,4,5,6,8,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,2,5,4,3,7,1,8]=>[3,7,4,5,6,2,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,5,4,3,7,8,1]=>[3,7,4,5,6,2,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,5,4,3,8,7,1]=>[3,7,4,5,6,1,2,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,5,4,3,6,8,1]=>[2,7,4,5,6,3,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,5,4,3,6,7,1]=>[1,7,4,5,6,3,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,5,4,3,7,6,1]=>[1,7,4,5,6,2,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,5,4,6,3,8,1]=>[2,7,4,5,3,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,5,4,6,7,3,1]=>[1,7,4,5,3,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,5,4,7,6,3,1]=>[1,7,4,5,2,3,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,6,4,5,3,8,1]=>[2,7,3,5,4,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,4,5,7,3,1]=>[1,7,3,5,4,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,2,6,5,4,3,1,8]=>[2,7,3,4,5,6,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,2,6,5,4,3,8,1]=>[2,7,3,4,5,6,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,2,6,5,4,7,3,1]=>[1,7,3,4,5,2,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,7,5,6,4,3,1]=>[1,7,2,4,3,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [5,3,4,2,1,6,8,7]=>[4,6,5,7,8,3,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,4,2,1,7,6,8]=>[4,6,5,7,8,2,3,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,4,2,1,7,8,6]=>[4,6,5,7,8,2,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,4,2,1,8,7,6]=>[4,6,5,7,8,1,2,3]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,3,4,2,6,1,8,7]=>[4,6,5,7,3,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,4,2,7,6,1,8]=>[4,6,5,7,2,3,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,4,2,7,6,8,1]=>[4,6,5,7,2,3,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,4,2,8,6,7,1]=>[4,6,5,7,1,3,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,4,2,8,7,6,1]=>[4,6,5,7,1,2,3,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,3,4,2,5,1,8,7]=>[3,6,5,7,4,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,2,5,7,6,1]=>[1,6,5,7,4,2,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,3,4,2,6,5,1,8]=>[2,6,5,7,3,4,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,4,2,6,5,8,1]=>[2,6,5,7,3,4,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,2,6,5,7,1]=>[1,6,5,7,3,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,2,6,7,5,1]=>[1,6,5,7,3,2,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,4,2,7,6,5,1]=>[1,6,5,7,2,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,3,4,5,2,1,8,7]=>[3,6,5,4,7,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,4,5,2,8,7,1]=>[3,6,5,4,7,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,4,5,2,7,6,1]=>[1,6,5,4,7,2,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,4,5,7,6,2,1]=>[1,6,5,4,2,3,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,3,4,6,5,2,1,8]=>[2,6,5,3,4,7,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,4,6,5,2,8,1]=>[2,6,5,3,4,7,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,4,6,5,2,7,1]=>[1,6,5,3,4,7,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,4,6,5,7,2,1]=>[1,6,5,3,4,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,4,7,5,6,2,1]=>[1,6,5,2,4,3,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,4,7,6,5,2,1]=>[1,6,5,2,3,4,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,3,5,4,2,7,1,8]=>[3,6,4,5,7,2,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,5,4,2,7,8,1]=>[3,6,4,5,7,2,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,5,4,2,6,1,8]=>[2,6,4,5,7,3,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,5,4,2,6,8,1]=>[2,6,4,5,7,3,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,5,4,2,6,7,1]=>[1,6,4,5,7,3,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,5,4,2,7,6,1]=>[1,6,4,5,7,2,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,3,5,4,6,2,1,8]=>[2,6,4,5,3,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,5,4,6,7,2,1]=>[1,6,4,5,3,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,5,4,7,6,2,1]=>[1,6,4,5,2,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,3,6,4,5,2,1,8]=>[2,6,3,5,4,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,6,4,5,2,7,1]=>[1,6,3,5,4,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,6,4,5,7,2,1]=>[1,6,3,5,4,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,7,4,5,6,2,1]=>[1,6,2,5,4,3,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,7,4,6,5,2,1]=>[1,6,2,5,3,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,3,6,5,4,2,1,8]=>[2,6,3,4,5,7,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,3,6,5,4,2,7,1]=>[1,6,3,4,5,7,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,6,5,4,7,2,1]=>[1,6,3,4,5,2,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,3,7,5,4,6,2,1]=>[1,6,2,4,5,3,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,3,7,5,6,4,2,1]=>[1,6,2,4,3,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,3,7,6,5,4,2,1]=>[1,6,2,3,4,5,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [2,4,1,3,6,5,8,7]=>[7,5,8,6,3,4,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,1,6,3,5,8,7]=>[7,5,8,3,6,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,6,1,3,5,8,7]=>[7,5,3,8,6,4,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,3,6,8,5,7]=>[7,8,5,6,3,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,6,3,8,5,7]=>[7,8,5,3,6,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,6,1,3,8,5,7]=>[7,5,3,8,6,1,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,6,8,3,5,7]=>[7,8,5,3,1,6,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,1,6,8,3,5,7]=>[7,5,8,3,1,6,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,1,3,6,5,7,8]=>[7,5,8,6,3,4,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,6,3,5,7,8]=>[7,8,5,3,6,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,4,1,6,3,5,7,8]=>[7,5,8,3,6,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,4,6,1,3,5,7,8]=>[7,5,3,8,6,4,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,4,1,3,6,7,5,8]=>[7,5,8,6,3,2,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,6,3,7,5,8]=>[7,8,5,3,6,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,6,3,7,5,8]=>[7,5,8,3,6,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,6,1,3,7,5,8]=>[7,5,3,8,6,2,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,6,7,3,5,8]=>[7,8,5,3,2,6,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,1,6,7,3,5,8]=>[7,5,8,3,2,6,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,6,1,7,3,5,8]=>[7,5,3,8,2,6,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,6,7,1,3,5,8]=>[7,5,3,2,8,6,4,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,1,3,6,7,8,5]=>[7,5,8,6,3,2,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,6,3,7,8,5]=>[7,8,5,3,6,2,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,1,6,3,7,8,5]=>[7,5,8,3,6,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,6,1,3,7,8,5]=>[7,5,3,8,6,2,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,6,7,3,8,5]=>[7,8,5,3,2,6,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,6,7,3,8,5]=>[7,5,8,3,2,6,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,1,7,3,8,5]=>[7,5,3,8,2,6,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,7,1,3,8,5]=>[7,5,3,2,8,6,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,1,4,6,7,8,3,5]=>[7,8,5,3,2,1,6,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,6,7,8,3,5]=>[7,5,8,3,2,1,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,6,1,7,8,3,5]=>[7,5,3,8,2,1,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,6,7,1,8,3,5]=>[7,5,3,2,8,1,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,7,8,1,3,5]=>[7,5,3,2,1,8,6,4]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,1,4,3,7,5,8,6]=>[7,8,5,6,2,4,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,7,3,5,8,6]=>[7,8,5,2,6,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,1,7,3,5,8,6]=>[7,5,8,2,6,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,7,1,3,5,8,6]=>[7,5,2,8,6,4,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,1,3,7,8,5,6]=>[7,5,8,6,2,1,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,7,3,8,5,6]=>[7,8,5,2,6,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,7,3,8,5,6]=>[7,5,8,2,6,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,7,1,3,8,5,6]=>[7,5,2,8,6,1,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,7,8,3,5,6]=>[7,8,5,2,1,6,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,1,7,8,3,5,6]=>[7,5,8,2,1,6,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,7,1,8,3,5,6]=>[7,5,2,8,1,6,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,7,8,1,3,5,6]=>[7,5,2,1,8,6,4,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,1,4,3,7,5,6,8]=>[7,8,5,6,2,4,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,4,7,3,5,6,8]=>[7,8,5,2,6,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,4,1,7,3,5,6,8]=>[7,5,8,2,6,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,4,7,1,3,5,6,8]=>[7,5,2,8,6,4,3,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,4,1,5,3,7,6,8]=>[7,5,8,4,6,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,5,7,3,6,8]=>[7,5,8,4,2,6,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,5,1,7,3,6,8]=>[7,5,4,8,2,6,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,5,7,1,3,6,8]=>[7,5,4,2,8,6,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,1,3,5,7,8,6]=>[7,5,8,6,4,2,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,4,1,5,3,7,8,6]=>[7,5,8,4,6,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,5,1,3,7,8,6]=>[7,5,4,8,6,2,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,4,5,7,3,8,6]=>[7,8,5,4,2,6,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,5,7,3,8,6]=>[7,5,8,4,2,6,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,1,7,3,8,6]=>[7,5,4,8,2,6,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,7,1,3,8,6]=>[7,5,4,2,8,6,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,1,4,5,7,8,3,6]=>[7,8,5,4,2,1,6,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,5,7,8,3,6]=>[7,5,8,4,2,1,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,1,7,8,3,6]=>[7,5,4,8,2,1,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,7,1,8,3,6]=>[7,5,4,2,8,1,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,5,7,8,1,3,6]=>[7,5,4,2,1,8,6,3]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,1,4,3,8,5,6,7]=>[7,8,5,6,1,4,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,1,3,8,5,6,7]=>[7,5,8,6,1,4,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,8,3,5,6,7]=>[7,8,5,1,6,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,4,1,8,3,5,6,7]=>[7,5,8,1,6,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,4,8,1,3,5,6,7]=>[7,5,1,8,6,4,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,1,4,3,5,8,6,7]=>[7,8,5,6,4,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,1,3,5,8,6,7]=>[7,5,8,6,4,1,3,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,5,3,8,6,7]=>[7,5,8,4,6,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,5,1,3,8,6,7]=>[7,5,4,8,6,1,3,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,4,5,8,3,6,7]=>[7,8,5,4,1,6,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,1,5,8,3,6,7]=>[7,5,8,4,1,6,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,5,1,8,3,6,7]=>[7,5,4,8,1,6,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,5,8,1,3,6,7]=>[7,5,4,1,8,6,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,1,5,3,6,8,7]=>[7,5,8,4,6,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,5,1,3,6,8,7]=>[7,5,4,8,6,3,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,1,5,6,3,8,7]=>[7,5,8,4,3,6,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,1,6,3,8,7]=>[7,5,4,8,3,6,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,6,1,3,8,7]=>[7,5,4,3,8,6,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,1,4,5,6,8,3,7]=>[7,8,5,4,3,1,6,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,5,6,8,3,7]=>[7,5,8,4,3,1,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,1,6,8,3,7]=>[7,5,4,8,3,1,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,6,1,8,3,7]=>[7,5,4,3,8,1,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,5,6,8,1,3,7]=>[7,5,4,3,1,8,6,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,4,1,3,5,6,7,8]=>[7,5,8,6,4,3,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,4,1,5,3,6,7,8]=>[7,5,8,4,6,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,4,5,1,3,6,7,8]=>[7,5,4,8,6,3,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,4,1,5,6,3,7,8]=>[7,5,8,4,3,6,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,5,1,6,3,7,8]=>[7,5,4,8,3,6,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,5,6,1,3,7,8]=>[7,5,4,3,8,6,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,4,1,5,6,7,3,8]=>[7,5,8,4,3,2,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,1,6,7,3,8]=>[7,5,4,8,3,2,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,6,1,7,3,8]=>[7,5,4,3,8,2,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,5,6,7,1,3,8]=>[7,5,4,3,2,8,6,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,4,1,5,6,7,8,3]=>[7,5,8,4,3,2,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,4,5,1,6,7,8,3]=>[7,5,4,8,3,2,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,5,6,1,7,8,3]=>[7,5,4,3,8,2,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,5,6,7,8,1,3]=>[7,5,4,3,2,1,8,6]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,1,3,6,4,8,7]=>[7,4,8,6,3,5,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,1,6,3,4,8,7]=>[7,4,8,3,6,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,6,1,3,4,8,7]=>[7,4,3,8,6,5,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,5,3,6,8,4,7]=>[7,8,4,6,3,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,5,6,3,8,4,7]=>[7,8,4,3,6,1,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,6,1,3,8,4,7]=>[7,4,3,8,6,1,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,5,6,8,3,4,7]=>[7,8,4,3,1,6,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,6,8,3,4,7]=>[7,4,8,3,1,6,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,1,5,3,6,4,7,8]=>[7,8,4,6,3,5,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,5,1,3,6,4,7,8]=>[7,4,8,6,3,5,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,5,6,3,4,7,8]=>[7,8,4,3,6,5,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,1,6,3,4,7,8]=>[7,4,8,3,6,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,1,5,3,6,7,4,8]=>[7,8,4,6,3,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,1,3,6,7,4,8]=>[7,4,8,6,3,2,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,5,6,3,7,4,8]=>[7,8,4,3,6,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,6,3,7,4,8]=>[7,4,8,3,6,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,6,1,3,7,4,8]=>[7,4,3,8,6,2,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,5,6,7,3,4,8]=>[7,8,4,3,2,6,5,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,6,7,3,4,8]=>[7,4,8,3,2,6,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,6,1,7,3,4,8]=>[7,4,3,8,2,6,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,5,3,6,7,8,4]=>[7,8,4,6,3,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,1,3,6,7,8,4]=>[7,4,8,6,3,2,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,5,6,3,7,8,4]=>[7,8,4,3,6,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,1,6,3,7,8,4]=>[7,4,8,3,6,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,6,1,3,7,8,4]=>[7,4,3,8,6,2,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,5,6,7,3,8,4]=>[7,8,4,3,2,6,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,6,7,3,8,4]=>[7,4,8,3,2,6,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,1,7,3,8,4]=>[7,4,3,8,2,6,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,7,1,3,8,4]=>[7,4,3,2,8,6,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,1,5,6,7,8,3,4]=>[7,8,4,3,2,1,6,5]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,6,7,8,3,4]=>[7,4,8,3,2,1,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,6,1,7,8,3,4]=>[7,4,3,8,2,1,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,6,7,1,8,3,4]=>[7,4,3,2,8,1,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,1,5,3,7,4,8,6]=>[7,8,4,6,2,5,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,1,3,7,4,8,6]=>[7,4,8,6,2,5,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,7,3,4,8,6]=>[7,8,4,2,6,5,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,7,1,3,4,8,6]=>[7,4,2,8,6,5,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,5,3,7,8,4,6]=>[7,8,4,6,2,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,1,3,7,8,4,6]=>[7,4,8,6,2,1,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,7,3,8,4,6]=>[7,4,8,2,6,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,7,8,3,4,6]=>[7,8,4,2,1,6,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,7,1,8,3,4,6]=>[7,4,2,8,1,6,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,7,8,1,3,4,6]=>[7,4,2,1,8,6,5,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,5,1,3,7,4,6,8]=>[7,4,8,6,2,5,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,5,7,3,4,6,8]=>[7,8,4,2,6,5,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,1,7,3,4,6,8]=>[7,4,8,2,6,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,7,1,3,4,6,8]=>[7,4,2,8,6,5,3,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,5,1,3,4,7,6,8]=>[7,4,8,6,5,2,3,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,1,4,7,6,8]=>[7,6,4,8,5,2,3,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,5,7,4,6,8]=>[7,8,6,4,2,5,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,5,7,4,6,8]=>[7,6,8,4,2,5,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,5,1,7,4,6,8]=>[7,6,4,8,2,5,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,5,7,1,4,6,8]=>[7,6,4,2,8,5,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,1,5,3,4,7,8,6]=>[7,8,4,6,5,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,1,3,4,7,8,6]=>[7,4,8,6,5,2,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,3,5,1,4,7,8,6]=>[7,6,4,8,5,2,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,5,7,4,8,6]=>[7,8,6,4,2,5,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,5,7,4,8,6]=>[7,6,8,4,2,5,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,1,7,4,8,6]=>[7,6,4,8,2,5,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,7,1,4,8,6]=>[7,6,4,2,8,5,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,1,5,7,8,4,6]=>[7,6,8,4,2,1,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,1,7,8,4,6]=>[7,6,4,8,2,1,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,7,1,8,4,6]=>[7,6,4,2,8,1,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,1,5,3,8,4,6,7]=>[7,8,4,6,1,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,5,1,3,8,4,6,7]=>[7,4,8,6,1,5,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,5,8,3,4,6,7]=>[7,8,4,1,6,5,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,1,8,3,4,6,7]=>[7,4,8,1,6,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,8,1,3,4,6,7]=>[7,4,1,8,6,5,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,1,5,3,4,8,6,7]=>[7,8,4,6,5,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,1,3,4,8,6,7]=>[7,4,8,6,5,1,3,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,1,4,8,6,7]=>[7,6,4,8,5,1,3,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,5,8,4,6,7]=>[7,8,6,4,1,5,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,5,8,4,6,7]=>[7,6,8,4,1,5,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,1,5,3,4,6,8,7]=>[7,8,4,6,5,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,1,3,4,6,8,7]=>[7,4,8,6,5,3,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,3,5,1,4,6,8,7]=>[7,6,4,8,5,3,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,5,1,6,4,8,7]=>[7,6,4,8,3,5,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,6,1,4,8,7]=>[7,6,4,3,8,5,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,1,3,5,6,8,4,7]=>[7,8,6,4,3,1,5,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,5,6,8,4,7]=>[7,6,8,4,3,1,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,1,6,8,4,7]=>[7,6,4,8,3,1,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,6,1,8,4,7]=>[7,6,4,3,8,1,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,5,6,8,1,4,7]=>[7,6,4,3,1,8,5,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,1,5,3,4,6,7,8]=>[7,8,4,6,5,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [2,5,1,3,4,6,7,8]=>[7,4,8,6,5,3,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,3,5,1,4,6,7,8]=>[7,6,4,8,5,3,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,3,5,1,6,4,7,8]=>[7,6,4,8,3,5,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,5,6,1,4,7,8]=>[7,6,4,3,8,5,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,3,5,1,6,7,4,8]=>[7,6,4,8,3,2,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,6,1,7,4,8]=>[7,6,4,3,8,2,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,5,6,7,1,4,8]=>[7,6,4,3,2,8,5,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,5,1,6,7,8,4]=>[7,6,4,8,3,2,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,5,6,1,7,8,4]=>[7,6,4,3,8,2,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,5,6,7,1,8,4]=>[7,6,4,3,2,8,1,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,5,6,7,8,1,4]=>[7,6,4,3,2,1,8,5]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,1,6,3,7,4,8,5]=>[7,8,3,6,2,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,1,3,7,4,8,5]=>[7,3,8,6,2,5,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,7,3,4,8,5]=>[7,3,8,2,6,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,7,1,3,4,8,5]=>[7,3,2,8,6,5,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,6,3,7,8,4,5]=>[7,8,3,6,2,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,1,3,7,8,4,5]=>[7,3,8,6,2,1,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,6,7,3,8,4,5]=>[7,8,3,2,6,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,7,3,8,4,5]=>[7,3,8,2,6,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,7,1,3,8,4,5]=>[7,3,2,8,6,1,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,7,8,3,4,5]=>[7,3,8,2,1,6,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,7,1,8,3,4,5]=>[7,3,2,8,1,6,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,7,8,1,3,4,5]=>[7,3,2,1,8,6,5,4]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,1,6,3,7,4,5,8]=>[7,8,3,6,2,5,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,1,3,7,4,5,8]=>[7,3,8,6,2,5,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,6,7,3,4,5,8]=>[7,8,3,2,6,5,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,1,7,3,4,5,8]=>[7,3,8,2,6,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,7,1,3,4,5,8]=>[7,3,2,8,6,5,4,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,6,1,3,4,7,5,8]=>[7,3,8,6,5,2,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,6,4,7,5,8]=>[7,8,6,3,5,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,6,4,7,5,8]=>[7,6,8,3,5,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,1,4,7,5,8]=>[7,6,3,8,5,2,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,6,7,4,5,8]=>[7,8,6,3,2,5,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,6,7,4,5,8]=>[7,6,8,3,2,5,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,6,1,7,4,5,8]=>[7,6,3,8,2,5,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,6,7,1,4,5,8]=>[7,6,3,2,8,5,4,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,1,6,3,4,7,8,5]=>[7,8,3,6,5,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,1,3,4,7,8,5]=>[7,3,8,6,5,2,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,6,4,7,8,5]=>[7,8,6,3,5,2,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,1,6,4,7,8,5]=>[7,6,8,3,5,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,6,1,4,7,8,5]=>[7,6,3,8,5,2,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,6,7,4,8,5]=>[7,8,6,3,2,5,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,6,7,4,8,5]=>[7,6,8,3,2,5,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,6,1,7,4,8,5]=>[7,6,3,8,2,5,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,6,7,1,4,8,5]=>[7,6,3,2,8,5,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,1,3,6,7,8,4,5]=>[7,8,6,3,2,1,5,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,6,7,8,4,5]=>[7,6,8,3,2,1,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,6,1,7,8,4,5]=>[7,6,3,8,2,1,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,6,7,1,8,4,5]=>[7,6,3,2,8,1,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,6,7,8,1,4,5]=>[7,6,3,2,1,8,5,4]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,1,6,3,8,4,5,7]=>[7,8,3,6,1,5,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,1,3,8,4,5,7]=>[7,3,8,6,1,5,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,6,8,3,4,5,7]=>[7,8,3,1,6,5,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,1,8,3,4,5,7]=>[7,3,8,1,6,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,8,1,3,4,5,7]=>[7,3,1,8,6,5,4,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,6,1,3,4,8,5,7]=>[7,3,8,6,5,1,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,6,4,8,5,7]=>[7,8,6,3,5,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,6,4,8,5,7]=>[7,6,8,3,5,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,1,4,8,5,7]=>[7,6,3,8,5,1,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,6,8,4,5,7]=>[7,8,6,3,1,5,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,6,8,4,5,7]=>[7,6,8,3,1,5,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,6,1,8,4,5,7]=>[7,6,3,8,1,5,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,6,3,4,5,8,7]=>[7,8,3,6,5,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,1,3,4,5,8,7]=>[7,3,8,6,5,4,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,6,4,5,8,7]=>[7,6,8,3,5,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,6,1,4,5,8,7]=>[7,6,3,8,5,4,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,4,6,1,5,8,7]=>[7,6,5,3,8,4,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,1,4,6,8,5,7]=>[7,6,8,5,3,1,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,4,1,6,8,5,7]=>[7,6,5,8,3,1,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,4,6,1,8,5,7]=>[7,6,5,3,8,1,4,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,6,8,1,5,7]=>[7,6,5,3,1,8,4,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,6,1,3,4,5,7,8]=>[7,3,8,6,5,4,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,1,3,6,4,5,7,8]=>[7,8,6,3,5,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,1,6,4,5,7,8]=>[7,6,8,3,5,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,6,1,4,5,7,8]=>[7,6,3,8,5,4,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,3,4,6,1,5,7,8]=>[7,6,5,3,8,4,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,3,4,6,1,7,5,8]=>[7,6,5,3,8,2,4,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,6,7,1,5,8]=>[7,6,5,3,2,8,4,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,4,6,1,7,8,5]=>[7,6,5,3,8,2,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,4,6,7,1,8,5]=>[7,6,5,3,2,8,1,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,6,7,8,1,5]=>[7,6,5,3,2,1,8,4]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,1,7,3,8,4,5,6]=>[7,8,2,6,1,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,7,1,3,8,4,5,6]=>[7,2,8,6,1,5,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,7,8,3,4,5,6]=>[7,8,2,1,6,5,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,1,8,3,4,5,6]=>[7,2,8,1,6,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,8,1,3,4,5,6]=>[7,2,1,8,6,5,4,3]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,1,7,3,4,8,5,6]=>[7,8,2,6,5,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,1,3,4,8,5,6]=>[7,2,8,6,5,1,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,7,4,8,5,6]=>[7,8,6,2,5,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,7,4,8,5,6]=>[7,6,8,2,5,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,7,1,4,8,5,6]=>[7,6,2,8,5,1,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,7,8,4,5,6]=>[7,8,6,2,1,5,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,7,8,1,4,5,6]=>[7,6,2,1,8,5,4,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,1,7,3,4,5,8,6]=>[7,8,2,6,5,4,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,1,3,4,5,8,6]=>[7,2,8,6,5,4,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,7,4,5,8,6]=>[7,6,8,2,5,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,7,1,4,5,8,6]=>[7,6,2,8,5,4,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,4,7,5,8,6]=>[7,6,8,5,2,4,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,4,1,7,5,8,6]=>[7,6,5,8,2,4,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,4,7,1,5,8,6]=>[7,6,5,2,8,4,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,1,3,4,7,8,5,6]=>[7,8,6,5,2,1,4,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,4,7,8,5,6]=>[7,6,8,5,2,1,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,4,1,7,8,5,6]=>[7,6,5,8,2,1,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,4,7,1,8,5,6]=>[7,6,5,2,8,1,4,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,7,8,1,5,6]=>[7,6,5,2,1,8,4,3]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,1,7,3,4,5,6,8]=>[7,8,2,6,5,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,1,3,7,4,5,6,8]=>[7,8,6,2,5,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,1,7,4,5,6,8]=>[7,6,8,2,5,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,7,1,4,5,6,8]=>[7,6,2,8,5,4,3,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,1,3,4,7,5,6,8]=>[7,8,6,5,2,4,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,4,7,5,6,8]=>[7,6,8,5,2,4,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,4,7,1,5,6,8]=>[7,6,5,2,8,4,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,3,4,5,7,1,6,8]=>[7,6,5,4,2,8,3,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,4,5,7,1,8,6]=>[7,6,5,4,2,8,1,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,4,5,7,8,1,6]=>[7,6,5,4,2,1,8,3]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [2,1,8,3,4,5,6,7]=>[7,8,1,6,5,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,1,3,8,4,5,6,7]=>[7,8,6,1,5,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,1,8,4,5,6,7]=>[7,6,8,1,5,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,8,1,4,5,6,7]=>[7,6,1,8,5,4,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,1,3,4,8,5,6,7]=>[7,8,6,5,1,4,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,4,8,5,6,7]=>[7,6,8,5,1,4,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [2,1,3,4,5,8,6,7]=>[7,8,6,5,4,1,3,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,4,5,8,6,7]=>[7,6,8,5,4,1,3,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,4,1,5,8,6,7]=>[7,6,5,8,4,1,3,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,4,5,1,8,6,7]=>[7,6,5,4,8,1,3,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,5,8,1,6,7]=>[7,6,5,4,1,8,3,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [2,3,4,5,6,8,1,7]=>[7,6,5,4,3,1,8,2]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [3,1,4,2,6,5,8,7]=>[6,8,5,7,3,4,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,6,2,5,8,7]=>[6,8,5,3,7,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,1,6,2,5,8,7]=>[6,5,8,3,7,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,6,1,2,5,8,7]=>[6,5,3,8,7,4,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,1,2,6,8,5,7]=>[6,5,8,7,3,1,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,6,2,8,5,7]=>[6,8,5,3,7,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,6,2,8,5,7]=>[6,5,8,3,7,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,6,1,2,8,5,7]=>[6,5,3,8,7,1,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,6,8,2,5,7]=>[6,8,5,3,1,7,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,6,8,2,5,7]=>[6,5,8,3,1,7,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,6,1,8,2,5,7]=>[6,5,3,8,1,7,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,6,8,1,2,5,7]=>[6,5,3,1,8,7,4,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,4,2,6,5,7,8]=>[6,8,5,7,3,4,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,1,2,6,5,7,8]=>[6,5,8,7,3,4,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,4,6,2,5,7,8]=>[6,8,5,3,7,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,1,6,2,5,7,8]=>[6,5,8,3,7,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,1,4,2,6,7,5,8]=>[6,8,5,7,3,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,1,2,6,7,5,8]=>[6,5,8,7,3,2,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,6,2,7,5,8]=>[6,8,5,3,7,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,6,2,7,5,8]=>[6,5,8,3,7,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,6,1,2,7,5,8]=>[6,5,3,8,7,2,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,6,7,2,5,8]=>[6,8,5,3,2,7,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,6,7,2,5,8]=>[6,5,8,3,2,7,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,6,1,7,2,5,8]=>[6,5,3,8,2,7,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,6,7,1,2,5,8]=>[6,5,3,2,8,7,4,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,4,2,6,7,8,5]=>[6,8,5,7,3,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,4,1,2,6,7,8,5]=>[6,5,8,7,3,2,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,4,6,2,7,8,5]=>[6,8,5,3,7,2,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,1,6,2,7,8,5]=>[6,5,8,3,7,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,6,1,2,7,8,5]=>[6,5,3,8,7,2,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,4,6,7,2,8,5]=>[6,8,5,3,2,7,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,6,7,2,8,5]=>[6,5,8,3,2,7,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,1,7,2,8,5]=>[6,5,3,8,2,7,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,7,1,2,8,5]=>[6,5,3,2,8,7,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,4,6,7,8,2,5]=>[6,8,5,3,2,1,7,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,6,7,8,2,5]=>[6,5,8,3,2,1,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,1,7,8,2,5]=>[6,5,3,8,2,1,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,7,1,8,2,5]=>[6,5,3,2,8,1,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,6,7,8,1,2,5]=>[6,5,3,2,1,8,7,4]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,1,2,7,5,8,6]=>[6,5,8,7,2,4,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,1,7,2,5,8,6]=>[6,5,8,2,7,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,7,1,2,5,8,6]=>[6,5,2,8,7,4,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,4,2,7,8,5,6]=>[6,8,5,7,2,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,7,2,8,5,6]=>[6,8,5,2,7,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,7,1,2,8,5,6]=>[6,5,2,8,7,1,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,7,8,2,5,6]=>[6,8,5,2,1,7,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,7,8,2,5,6]=>[6,5,8,2,1,7,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,4,2,7,5,6,8]=>[6,8,5,7,2,4,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,1,2,7,5,6,8]=>[6,5,8,7,2,4,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,4,7,2,5,6,8]=>[6,8,5,2,7,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,1,7,2,5,6,8]=>[6,5,8,2,7,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,7,1,2,5,6,8]=>[6,5,2,8,7,4,3,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,4,2,5,7,6,8]=>[6,8,5,7,4,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,1,2,5,7,6,8]=>[6,5,8,7,4,2,3,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,5,2,7,6,8]=>[6,8,5,4,7,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,5,2,7,6,8]=>[6,5,8,4,7,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,5,1,2,7,6,8]=>[6,5,4,8,7,2,3,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,5,7,2,6,8]=>[6,8,5,4,2,7,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,5,7,2,6,8]=>[6,5,8,4,2,7,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,5,1,7,2,6,8]=>[6,5,4,8,2,7,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,5,7,1,2,6,8]=>[6,5,4,2,8,7,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,4,2,5,7,8,6]=>[6,8,5,7,4,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,4,1,2,5,7,8,6]=>[6,5,8,7,4,2,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,4,1,5,2,7,8,6]=>[6,5,8,4,7,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,5,1,2,7,8,6]=>[6,5,4,8,7,2,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,4,5,7,2,8,6]=>[6,8,5,4,2,7,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,5,7,2,8,6]=>[6,5,8,4,2,7,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,5,1,7,2,8,6]=>[6,5,4,8,2,7,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,5,7,1,2,8,6]=>[6,5,4,2,8,7,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,4,5,7,8,2,6]=>[6,8,5,4,2,1,7,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,5,7,8,2,6]=>[6,5,8,4,2,1,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,5,1,7,8,2,6]=>[6,5,4,8,2,1,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,5,7,1,8,2,6]=>[6,5,4,2,8,1,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,5,7,8,1,2,6]=>[6,5,4,2,1,8,7,3]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,4,2,8,5,6,7]=>[6,8,5,7,1,4,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,1,2,8,5,6,7]=>[6,5,8,7,1,4,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,4,8,2,5,6,7]=>[6,8,5,1,7,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,1,8,2,5,6,7]=>[6,5,8,1,7,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,8,1,2,5,6,7]=>[6,5,1,8,7,4,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,4,1,2,5,8,6,7]=>[6,5,8,7,4,1,3,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,5,2,8,6,7]=>[6,8,5,4,7,1,3,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,5,2,8,6,7]=>[6,5,8,4,7,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,5,1,2,8,6,7]=>[6,5,4,8,7,1,3,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,5,8,2,6,7]=>[6,8,5,4,1,7,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,5,8,2,6,7]=>[6,5,8,4,1,7,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,5,8,1,2,6,7]=>[6,5,4,1,8,7,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,4,1,2,5,6,8,7]=>[6,5,8,7,4,3,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,4,5,2,6,8,7]=>[6,8,5,4,7,3,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,5,1,2,6,8,7]=>[6,5,4,8,7,3,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,4,5,6,2,8,7]=>[6,8,5,4,3,7,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,5,6,2,8,7]=>[6,5,8,4,3,7,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,5,1,6,2,8,7]=>[6,5,4,8,3,7,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,5,6,1,2,8,7]=>[6,5,4,3,8,7,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,4,5,6,8,2,7]=>[6,8,5,4,3,1,7,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,5,6,8,2,7]=>[6,5,8,4,3,1,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,5,1,6,8,2,7]=>[6,5,4,8,3,1,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,5,6,1,8,2,7]=>[6,5,4,3,8,1,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,5,6,8,1,2,7]=>[6,5,4,3,1,8,7,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,4,2,5,6,7,8]=>[6,8,5,7,4,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,1,4,5,2,6,7,8]=>[6,8,5,4,7,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,1,5,2,6,7,8]=>[6,5,8,4,7,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,1,4,5,6,2,7,8]=>[6,8,5,4,3,7,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,5,6,2,7,8]=>[6,5,8,4,3,7,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,5,1,6,2,7,8]=>[6,5,4,8,3,7,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,4,5,6,7,2,8]=>[6,8,5,4,3,2,7,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,5,6,7,2,8]=>[6,5,8,4,3,2,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,5,1,6,7,2,8]=>[6,5,4,8,3,2,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,5,6,1,7,2,8]=>[6,5,4,3,8,2,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,1,4,5,6,7,8,2]=>[6,8,5,4,3,2,1,7]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,4,1,5,6,7,8,2]=>[6,5,8,4,3,2,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,4,5,1,6,7,8,2]=>[6,5,4,8,3,2,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,5,6,1,7,8,2]=>[6,5,4,3,8,2,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,5,6,7,1,8,2]=>[6,5,4,3,2,8,1,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,1,5,2,6,4,8,7]=>[6,8,4,7,3,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,1,2,6,4,8,7]=>[6,4,8,7,3,5,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,6,2,4,8,7]=>[6,8,4,3,7,5,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,6,1,2,4,8,7]=>[6,4,3,8,7,5,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,5,2,6,8,4,7]=>[6,8,4,7,3,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,1,2,6,8,4,7]=>[6,4,8,7,3,1,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,6,2,8,4,7]=>[6,8,4,3,7,1,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,6,2,8,4,7]=>[6,4,8,3,7,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,1,2,8,4,7]=>[6,4,3,8,7,1,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,6,8,2,4,7]=>[6,8,4,3,1,7,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,1,6,8,2,4,7]=>[6,4,8,3,1,7,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,6,1,8,2,4,7]=>[6,4,3,8,1,7,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,6,8,1,2,4,7]=>[6,4,3,1,8,7,5,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,5,2,6,4,7,8]=>[6,8,4,7,3,5,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,1,2,6,4,7,8]=>[6,4,8,7,3,5,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,5,6,2,4,7,8]=>[6,8,4,3,7,5,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,1,6,2,4,7,8]=>[6,4,8,3,7,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,6,1,2,4,7,8]=>[6,4,3,8,7,5,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,5,2,6,7,4,8]=>[6,8,4,7,3,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,1,2,6,7,4,8]=>[6,4,8,7,3,2,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,6,2,7,4,8]=>[6,8,4,3,7,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,6,2,7,4,8]=>[6,4,8,3,7,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,1,2,7,4,8]=>[6,4,3,8,7,2,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,6,7,2,4,8]=>[6,8,4,3,2,7,5,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,1,6,7,2,4,8]=>[6,4,8,3,2,7,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,6,1,7,2,4,8]=>[6,4,3,8,2,7,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,6,7,1,2,4,8]=>[6,4,3,2,8,7,5,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,5,2,6,7,8,4]=>[6,8,4,7,3,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,1,2,6,7,8,4]=>[6,4,8,7,3,2,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,5,6,2,7,8,4]=>[6,8,4,3,7,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,1,6,2,7,8,4]=>[6,4,8,3,7,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,6,1,2,7,8,4]=>[6,4,3,8,7,2,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,5,6,7,2,8,4]=>[6,8,4,3,2,7,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,6,7,2,8,4]=>[6,4,8,3,2,7,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,1,7,2,8,4]=>[6,4,3,8,2,7,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,7,1,2,8,4]=>[6,4,3,2,8,7,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,5,6,7,8,2,4]=>[6,8,4,3,2,1,7,5]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,6,7,8,2,4]=>[6,4,8,3,2,1,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,6,1,7,8,2,4]=>[6,4,3,8,2,1,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,6,7,1,8,2,4]=>[6,4,3,2,8,1,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,6,7,8,1,2,4]=>[6,4,3,2,1,8,7,5]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,1,2,7,4,8,6]=>[6,4,8,7,2,5,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,1,7,2,4,8,6]=>[6,4,8,2,7,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,7,1,2,4,8,6]=>[6,4,2,8,7,5,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,5,2,7,8,4,6]=>[6,8,4,7,2,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,7,2,8,4,6]=>[6,8,4,2,7,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,7,1,2,8,4,6]=>[6,4,2,8,7,1,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,7,8,2,4,6]=>[6,8,4,2,1,7,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,1,7,8,2,4,6]=>[6,4,8,2,1,7,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,7,1,8,2,4,6]=>[6,4,2,8,1,7,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,5,2,7,4,6,8]=>[6,8,4,7,2,5,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,1,2,7,4,6,8]=>[6,4,8,7,2,5,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,5,7,2,4,6,8]=>[6,8,4,2,7,5,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,1,7,2,4,6,8]=>[6,4,8,2,7,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,7,1,2,4,6,8]=>[6,4,2,8,7,5,3,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,5,2,4,7,6,8]=>[6,8,4,7,5,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,1,2,4,7,6,8]=>[6,4,8,7,5,2,3,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,5,4,7,6,8]=>[6,8,7,4,5,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,5,2,4,7,6,8]=>[8,6,4,7,5,2,3,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,5,7,4,6,8]=>[6,8,7,4,2,5,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,2,5,7,4,6,8]=>[8,6,7,4,2,5,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,5,2,7,4,6,8]=>[8,6,4,7,2,5,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,5,2,4,7,8,6]=>[6,8,4,7,5,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,1,2,4,7,8,6]=>[6,4,8,7,5,2,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,5,4,7,8,6]=>[6,8,7,4,5,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,5,2,4,7,8,6]=>[8,6,4,7,5,2,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,5,7,4,8,6]=>[6,8,7,4,2,5,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,5,7,4,8,6]=>[8,6,7,4,2,5,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,7,2,4,8,6]=>[8,6,4,2,7,5,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,2,5,7,8,4,6]=>[6,8,7,4,2,1,5,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,5,7,8,4,6]=>[8,6,7,4,2,1,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,5,2,7,8,4,6]=>[8,6,4,7,2,1,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,5,7,2,8,4,6]=>[8,6,4,2,7,1,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,7,8,2,4,6]=>[8,6,4,2,1,7,5,3]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,5,2,8,4,6,7]=>[6,8,4,7,1,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,1,2,8,4,6,7]=>[6,4,8,7,1,5,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,5,8,2,4,6,7]=>[6,8,4,1,7,5,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,1,8,2,4,6,7]=>[6,4,8,1,7,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,8,1,2,4,6,7]=>[6,4,1,8,7,5,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,5,2,4,8,6,7]=>[6,8,4,7,5,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,1,2,4,8,6,7]=>[6,4,8,7,5,1,3,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,5,4,8,6,7]=>[6,8,7,4,5,1,3,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,5,4,8,6,7]=>[8,6,7,4,5,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,5,8,4,6,7]=>[6,8,7,4,1,5,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,2,5,8,4,6,7]=>[8,6,7,4,1,5,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,5,2,8,4,6,7]=>[8,6,4,7,1,5,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,5,2,4,6,8,7]=>[6,8,4,7,5,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,1,2,4,6,8,7]=>[6,4,8,7,5,3,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,5,4,6,8,7]=>[6,8,7,4,5,3,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,5,6,4,8,7]=>[6,8,7,4,3,5,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,2,6,4,8,7]=>[8,6,4,7,3,5,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,6,2,4,8,7]=>[8,6,4,3,7,5,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,2,5,6,8,4,7]=>[6,8,7,4,3,1,5,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,5,6,8,4,7]=>[8,6,7,4,3,1,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,5,6,2,8,4,7]=>[8,6,4,3,7,1,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,1,5,2,4,6,7,8]=>[6,8,4,7,5,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,5,1,2,4,6,7,8]=>[6,4,8,7,5,3,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,5,4,6,7,8]=>[6,8,7,4,5,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,5,2,4,6,7,8]=>[8,6,4,7,5,3,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,5,6,4,7,8]=>[6,8,7,4,3,5,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,5,2,6,4,7,8]=>[8,6,4,7,3,5,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,5,6,2,4,7,8]=>[8,6,4,3,7,5,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,2,5,6,7,4,8]=>[6,8,7,4,3,2,5,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,5,2,6,7,4,8]=>[8,6,4,7,3,2,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,6,7,2,4,8]=>[8,6,4,3,2,7,5,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,2,5,6,7,8,4]=>[6,8,7,4,3,2,1,5]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,5,2,6,7,8,4]=>[8,6,4,7,3,2,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,5,6,2,7,8,4]=>[8,6,4,3,7,2,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,5,6,7,2,8,4]=>[8,6,4,3,2,7,1,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,5,6,7,8,2,4]=>[8,6,4,3,2,1,7,5]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [3,1,6,2,7,4,8,5]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,6,1,2,7,4,8,5]=>[6,3,8,7,2,5,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,6,7,2,4,8,5]=>[6,8,3,2,7,5,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,1,7,2,4,8,5]=>[6,3,8,2,7,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,7,1,2,4,8,5]=>[6,3,2,8,7,5,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,6,2,7,8,4,5]=>[6,8,3,7,2,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,1,2,7,8,4,5]=>[6,3,8,7,2,1,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,6,7,2,8,4,5]=>[6,8,3,2,7,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,1,7,2,8,4,5]=>[6,3,8,2,7,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,7,1,8,2,4,5]=>[6,3,2,8,1,7,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,7,8,1,2,4,5]=>[6,3,2,1,8,7,5,4]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,6,2,7,4,5,8]=>[6,8,3,7,2,5,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,1,2,7,4,5,8]=>[6,3,8,7,2,5,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,6,7,2,4,5,8]=>[6,8,3,2,7,5,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,7,1,2,4,5,8]=>[6,3,2,8,7,5,4,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,6,2,4,7,5,8]=>[6,8,3,7,5,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,1,2,4,7,5,8]=>[6,3,8,7,5,2,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,6,4,7,5,8]=>[6,8,7,3,5,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,6,4,7,5,8]=>[8,6,7,3,5,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,6,2,4,7,5,8]=>[8,6,3,7,5,2,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,6,7,4,5,8]=>[6,8,7,3,2,5,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,6,2,7,4,5,8]=>[8,6,3,7,2,5,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,6,7,2,4,5,8]=>[8,6,3,2,7,5,4,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,6,2,4,7,8,5]=>[6,8,3,7,5,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,1,2,4,7,8,5]=>[6,3,8,7,5,2,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,6,4,7,8,5]=>[6,8,7,3,5,2,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,2,6,4,7,8,5]=>[8,6,7,3,5,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,6,7,4,8,5]=>[6,8,7,3,2,5,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,2,7,4,8,5]=>[8,6,3,7,2,5,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,7,2,4,8,5]=>[8,6,3,2,7,5,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,2,6,7,8,4,5]=>[6,8,7,3,2,1,5,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,6,7,8,4,5]=>[8,6,7,3,2,1,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,6,7,2,8,4,5]=>[8,6,3,2,7,1,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,7,8,2,4,5]=>[8,6,3,2,1,7,5,4]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,6,2,8,4,5,7]=>[6,8,3,7,1,5,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,1,2,8,4,5,7]=>[6,3,8,7,1,5,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,6,8,2,4,5,7]=>[6,8,3,1,7,5,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,1,8,2,4,5,7]=>[6,3,8,1,7,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,8,1,2,4,5,7]=>[6,3,1,8,7,5,4,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,6,2,4,8,5,7]=>[6,8,3,7,5,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,1,2,4,8,5,7]=>[6,3,8,7,5,1,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,6,4,8,5,7]=>[6,8,7,3,5,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,6,4,8,5,7]=>[8,6,7,3,5,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,6,2,4,8,5,7]=>[8,6,3,7,5,1,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,6,8,4,5,7]=>[6,8,7,3,1,5,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,6,2,4,5,8,7]=>[6,8,3,7,5,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,1,2,4,5,8,7]=>[6,3,8,7,5,4,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,6,4,5,8,7]=>[6,8,7,3,5,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,2,4,6,5,8,7]=>[6,8,7,5,3,4,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,4,6,8,5,7]=>[6,8,7,5,3,1,4,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,4,6,8,5,7]=>[8,6,7,5,3,1,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,2,6,8,5,7]=>[8,6,5,7,3,1,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,6,2,8,5,7]=>[8,6,5,3,7,1,4,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,4,6,8,2,5,7]=>[8,6,5,3,1,7,4,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,6,4,5,7,8]=>[6,8,7,3,5,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,2,6,4,5,7,8]=>[8,6,7,3,5,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,6,2,4,5,7,8]=>[8,6,3,7,5,4,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,4,6,5,7,8]=>[6,8,7,5,3,4,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,6,2,5,7,8]=>[8,6,5,3,7,4,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,2,4,6,7,5,8]=>[6,8,7,5,3,2,4,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,6,2,7,5,8]=>[8,6,5,3,7,2,4,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,1,2,4,6,7,8,5]=>[6,8,7,5,3,2,1,4]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,4,6,2,7,8,5]=>[8,6,5,3,7,2,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,4,6,7,2,8,5]=>[8,6,5,3,2,7,1,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,6,7,8,2,5]=>[8,6,5,3,2,1,7,4]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [3,1,7,2,8,4,5,6]=>[6,8,2,7,1,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,1,2,8,4,5,6]=>[6,2,8,7,1,5,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,7,8,2,4,5,6]=>[6,8,2,1,7,5,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,1,8,2,4,5,6]=>[6,2,8,1,7,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,8,1,2,4,5,6]=>[6,2,1,8,7,5,4,3]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,7,2,4,8,5,6]=>[6,8,2,7,5,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,1,2,4,8,5,6]=>[6,2,8,7,5,1,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,7,4,8,5,6]=>[6,8,7,2,5,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,7,4,8,5,6]=>[8,6,7,2,5,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,7,2,4,8,5,6]=>[8,6,2,7,5,1,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,7,8,4,5,6]=>[6,8,7,2,1,5,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,7,2,8,4,5,6]=>[8,6,2,7,1,5,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,7,8,2,4,5,6]=>[8,6,2,1,7,5,4,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,7,2,4,5,8,6]=>[6,8,2,7,5,4,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,7,1,2,4,5,8,6]=>[6,2,8,7,5,4,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,7,4,5,8,6]=>[6,8,7,2,5,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,2,7,4,5,8,6]=>[8,6,7,2,5,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,7,2,4,5,8,6]=>[8,6,2,7,5,4,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,4,7,5,8,6]=>[6,8,7,5,2,4,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,4,2,7,5,8,6]=>[8,6,5,7,2,4,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,4,7,2,5,8,6]=>[8,6,5,2,7,4,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,2,4,7,8,5,6]=>[6,8,7,5,2,1,4,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,2,7,8,5,6]=>[8,6,5,7,2,1,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,7,2,8,5,6]=>[8,6,5,2,7,1,4,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,7,2,4,5,6,8]=>[6,8,2,7,5,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,7,1,2,4,5,6,8]=>[6,2,8,7,5,4,3,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,7,4,5,6,8]=>[6,8,7,2,5,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,2,7,4,5,6,8]=>[8,6,7,2,5,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,7,2,4,5,6,8]=>[8,6,2,7,5,4,3,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,4,7,5,6,8]=>[6,8,7,5,2,4,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,2,4,7,5,6,8]=>[8,6,7,5,2,4,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,2,4,5,7,6,8]=>[6,8,7,5,4,2,3,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,5,7,2,6,8]=>[8,6,5,4,2,7,3,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,2,4,5,7,8,6]=>[6,8,7,5,4,2,1,3]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,4,5,7,2,8,6]=>[8,6,5,4,2,7,1,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,4,5,7,8,2,6]=>[8,6,5,4,2,1,7,3]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [3,1,8,2,4,5,6,7]=>[6,8,1,7,5,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,8,1,2,4,5,6,7]=>[6,1,8,7,5,4,3,2]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,8,4,5,6,7]=>[6,8,7,1,5,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,4,8,5,6,7]=>[6,8,7,5,1,4,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,4,5,8,6,7]=>[8,6,7,5,4,1,3,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,2,5,8,6,7]=>[8,6,5,7,4,1,3,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,5,2,8,6,7]=>[8,6,5,4,7,1,3,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,4,5,8,2,6,7]=>[8,6,5,4,1,7,3,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [3,1,2,4,5,6,8,7]=>[6,8,7,5,4,3,1,2]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,4,5,6,8,2,7]=>[8,6,5,4,3,1,7,2]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [4,1,5,2,6,3,8,7]=>[5,8,4,7,3,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,1,2,6,3,8,7]=>[5,4,8,7,3,6,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,6,2,3,8,7]=>[5,8,4,3,7,6,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,1,6,2,3,8,7]=>[5,4,8,3,7,6,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,5,2,6,8,3,7]=>[5,8,4,7,3,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,5,6,2,8,3,7]=>[5,8,4,3,7,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,6,2,8,3,7]=>[5,4,8,3,7,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,6,1,2,8,3,7]=>[5,4,3,8,7,1,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,6,8,2,3,7]=>[5,8,4,3,1,7,6,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,6,8,2,3,7]=>[5,4,8,3,1,7,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,6,1,8,2,3,7]=>[5,4,3,8,1,7,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,6,8,1,2,3,7]=>[5,4,3,1,8,7,6,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,5,1,2,6,3,7,8]=>[5,4,8,7,3,6,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,6,2,3,7,8]=>[5,8,4,3,7,6,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,5,2,6,7,3,8]=>[5,8,4,7,3,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,1,2,6,7,3,8]=>[5,4,8,7,3,2,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,6,2,7,3,8]=>[5,8,4,3,7,2,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,6,2,7,3,8]=>[5,4,8,3,7,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,5,6,7,2,3,8]=>[5,8,4,3,2,7,6,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,6,7,2,3,8]=>[5,4,8,3,2,7,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,6,1,7,2,3,8]=>[5,4,3,8,2,7,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,2,6,7,8,3]=>[5,8,4,7,3,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,5,1,2,6,7,8,3]=>[5,4,8,7,3,2,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,5,6,2,7,8,3]=>[5,8,4,3,7,2,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,1,6,2,7,8,3]=>[5,4,8,3,7,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,6,1,2,7,8,3]=>[5,4,3,8,7,2,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,5,6,7,2,8,3]=>[5,8,4,3,2,7,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,6,7,2,8,3]=>[5,4,8,3,2,7,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,1,7,2,8,3]=>[5,4,3,8,2,7,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,7,1,2,8,3]=>[5,4,3,2,8,7,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,1,5,6,7,8,2,3]=>[5,8,4,3,2,1,7,6]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,5,1,6,7,8,2,3]=>[5,4,8,3,2,1,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,5,6,1,7,8,2,3]=>[5,4,3,8,2,1,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,6,7,1,8,2,3]=>[5,4,3,2,8,1,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,1,5,2,7,3,8,6]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,1,2,7,3,8,6]=>[5,4,8,7,2,6,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,7,2,3,8,6]=>[5,8,4,2,7,6,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,1,7,2,3,8,6]=>[5,4,8,2,7,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,7,1,2,3,8,6]=>[5,4,2,8,7,6,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,5,2,7,8,3,6]=>[5,8,4,7,2,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,1,2,7,8,3,6]=>[5,4,8,7,2,1,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,7,2,8,3,6]=>[5,8,4,2,7,1,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,7,2,8,3,6]=>[5,4,8,2,7,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,7,8,2,3,6]=>[5,8,4,2,1,7,6,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,7,1,8,2,3,6]=>[5,4,2,8,1,7,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,5,2,7,3,6,8]=>[5,8,4,7,2,6,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,5,1,2,7,3,6,8]=>[5,4,8,7,2,6,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,7,2,3,6,8]=>[5,8,4,2,7,6,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,1,7,2,3,6,8]=>[5,4,8,2,7,6,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,7,1,2,3,6,8]=>[5,4,2,8,7,6,3,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,1,5,2,3,7,6,8]=>[5,8,4,7,6,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,1,2,3,7,6,8]=>[5,4,8,7,6,2,3,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,5,3,7,6,8]=>[5,8,7,4,6,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,5,3,7,6,8]=>[8,5,7,4,6,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,5,7,3,6,8]=>[5,8,7,4,2,6,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,5,7,3,6,8]=>[8,5,7,4,2,6,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,2,7,3,6,8]=>[8,5,4,7,2,6,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,7,2,3,6,8]=>[8,5,4,2,7,6,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,5,2,3,7,8,6]=>[5,8,4,7,6,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,5,1,2,3,7,8,6]=>[5,4,8,7,6,2,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,5,3,7,8,6]=>[5,8,7,4,6,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,2,5,3,7,8,6]=>[8,5,7,4,6,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,5,7,3,8,6]=>[5,8,7,4,2,6,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,5,7,3,8,6]=>[8,5,7,4,2,6,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,2,7,3,8,6]=>[8,5,4,7,2,6,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,1,2,5,7,8,3,6]=>[5,8,7,4,2,1,6,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,5,7,8,3,6]=>[8,5,7,4,2,1,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,5,2,7,8,3,6]=>[8,5,4,7,2,1,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,5,7,2,8,3,6]=>[8,5,4,2,7,1,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,7,8,2,3,6]=>[8,5,4,2,1,7,6,3]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,1,5,2,8,3,6,7]=>[5,8,4,7,1,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,5,1,2,8,3,6,7]=>[5,4,8,7,1,6,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,8,2,3,6,7]=>[5,8,4,1,7,6,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,1,8,2,3,6,7]=>[5,4,8,1,7,6,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,8,1,2,3,6,7]=>[5,4,1,8,7,6,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,1,5,2,3,8,6,7]=>[5,8,4,7,6,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,1,2,3,8,6,7]=>[5,4,8,7,6,1,3,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,5,3,8,6,7]=>[5,8,7,4,6,1,3,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,5,8,3,6,7]=>[5,8,7,4,1,6,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,2,8,3,6,7]=>[8,5,4,7,1,6,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,8,2,3,6,7]=>[8,5,4,1,7,6,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,5,1,2,3,6,8,7]=>[5,4,8,7,6,3,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,5,3,6,8,7]=>[5,8,7,4,6,3,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,5,2,3,6,8,7]=>[8,5,4,7,6,3,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,5,6,3,8,7]=>[5,8,7,4,3,6,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,5,6,3,8,7]=>[8,5,7,4,3,6,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,2,6,3,8,7]=>[8,5,4,7,3,6,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,6,2,3,8,7]=>[8,5,4,3,7,6,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,1,2,5,6,8,3,7]=>[5,8,7,4,3,1,6,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,5,6,8,3,7]=>[8,5,7,4,3,1,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,5,2,6,8,3,7]=>[8,5,4,7,3,1,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,5,6,2,8,3,7]=>[8,5,4,3,7,1,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,6,8,2,3,7]=>[8,5,4,3,1,7,6,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,1,5,2,3,6,7,8]=>[5,8,4,7,6,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,1,2,5,3,6,7,8]=>[5,8,7,4,6,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,4,2,5,3,6,7,8]=>[8,5,7,4,6,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,4,5,2,3,6,7,8]=>[8,5,4,7,6,3,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,1,2,5,6,3,7,8]=>[5,8,7,4,3,6,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,5,6,3,7,8]=>[8,5,7,4,3,6,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,2,6,3,7,8]=>[8,5,4,7,3,6,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,6,2,3,7,8]=>[8,5,4,3,7,6,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,2,5,6,7,3,8]=>[5,8,7,4,3,2,6,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,5,6,2,7,3,8]=>[8,5,4,3,7,2,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,1,2,5,6,7,8,3]=>[5,8,7,4,3,2,1,6]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,4,2,5,6,7,8,3]=>[8,5,7,4,3,2,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,4,5,2,6,7,8,3]=>[8,5,4,7,3,2,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,5,6,2,7,8,3]=>[8,5,4,3,7,2,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,5,6,7,2,8,3]=>[8,5,4,3,2,7,1,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,5,6,7,8,2,3]=>[8,5,4,3,2,1,7,6]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,1,2,7,3,8,5]=>[5,3,8,7,2,6,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,1,7,2,3,8,5]=>[5,3,8,2,7,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,2,7,8,3,5]=>[5,8,3,7,2,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,6,7,2,8,3,5]=>[5,8,3,2,7,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,7,1,2,8,3,5]=>[5,3,2,8,7,1,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,6,7,8,2,3,5]=>[5,8,3,2,1,7,6,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,1,7,8,2,3,5]=>[5,3,8,2,1,7,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,6,2,7,3,5,8]=>[5,8,3,7,2,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,1,2,7,3,5,8]=>[5,3,8,7,2,6,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,6,7,2,3,5,8]=>[5,8,3,2,7,6,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,1,7,2,3,5,8]=>[5,3,8,2,7,6,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,7,1,2,3,5,8]=>[5,3,2,8,7,6,4,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,1,2,3,7,5,8]=>[5,3,8,7,6,2,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,6,3,7,5,8]=>[5,8,7,3,6,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,6,2,3,7,5,8]=>[8,5,3,7,6,2,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,6,7,3,5,8]=>[5,8,7,3,2,6,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,6,7,3,5,8]=>[8,5,7,3,2,6,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,6,2,3,7,8,5]=>[5,8,3,7,6,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,1,2,3,7,8,5]=>[5,3,8,7,6,2,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,6,3,7,8,5]=>[5,8,7,3,6,2,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,2,6,3,7,8,5]=>[8,5,7,3,6,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,6,2,3,7,8,5]=>[8,5,3,7,6,2,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,6,7,3,8,5]=>[5,8,7,3,2,6,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,6,7,3,8,5]=>[8,5,7,3,2,6,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,1,2,6,7,8,3,5]=>[5,8,7,3,2,1,6,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,6,2,7,8,3,5]=>[8,5,3,7,2,1,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,6,7,8,2,3,5]=>[8,5,3,2,1,7,6,4]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,1,6,2,8,3,5,7]=>[5,8,3,7,1,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,1,2,8,3,5,7]=>[5,3,8,7,1,6,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,6,8,2,3,5,7]=>[5,8,3,1,7,6,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,1,8,2,3,5,7]=>[5,3,8,1,7,6,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,8,1,2,3,5,7]=>[5,3,1,8,7,6,4,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,1,6,2,3,8,5,7]=>[5,8,3,7,6,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,1,2,3,8,5,7]=>[5,3,8,7,6,1,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,6,3,8,5,7]=>[5,8,7,3,6,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,6,8,3,5,7]=>[5,8,7,3,1,6,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,6,8,3,5,7]=>[8,5,7,3,1,6,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,6,2,8,3,5,7]=>[8,5,3,7,1,6,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,6,8,2,3,5,7]=>[8,5,3,1,7,6,4,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,6,2,3,5,8,7]=>[5,8,3,7,6,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,1,2,3,5,8,7]=>[5,3,8,7,6,4,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,6,3,5,8,7]=>[5,8,7,3,6,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,2,6,3,5,8,7]=>[8,5,7,3,6,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,6,2,3,5,8,7]=>[8,5,3,7,6,4,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,3,6,5,8,7]=>[5,8,7,6,3,4,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,3,6,5,8,7]=>[8,5,7,6,3,4,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,6,3,5,8,7]=>[8,7,5,3,6,4,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,1,2,3,6,8,5,7]=>[5,8,7,6,3,1,4,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,3,6,8,5,7]=>[8,5,7,6,3,1,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,3,6,8,5,7]=>[8,7,5,6,3,1,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,6,3,8,5,7]=>[8,7,5,3,6,1,4,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,1,6,2,3,5,7,8]=>[5,8,3,7,6,4,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,6,1,2,3,5,7,8]=>[5,3,8,7,6,4,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [4,1,2,6,3,5,7,8]=>[5,8,7,3,6,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,4,2,6,3,5,7,8]=>[8,5,7,3,6,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,2,3,6,5,7,8]=>[5,8,7,6,3,4,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,3,6,5,7,8]=>[8,5,7,6,3,4,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,2,3,6,7,5,8]=>[5,8,7,6,3,2,4,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,6,3,7,5,8]=>[8,7,5,3,6,2,4,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,6,7,3,5,8]=>[8,7,5,3,2,6,4,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,4,6,3,7,8,5]=>[8,7,5,3,6,2,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,4,6,7,3,8,5]=>[8,7,5,3,2,6,1,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,6,7,8,3,5]=>[8,7,5,3,2,1,6,4]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [4,1,7,2,8,3,5,6]=>[5,8,2,7,1,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,1,2,8,3,5,6]=>[5,2,8,7,1,6,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,7,8,2,3,5,6]=>[5,8,2,1,7,6,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,1,8,2,3,5,6]=>[5,2,8,1,7,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,8,1,2,3,5,6]=>[5,2,1,8,7,6,4,3]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,1,7,2,3,8,5,6]=>[5,8,2,7,6,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,1,2,3,8,5,6]=>[5,2,8,7,6,1,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,7,3,8,5,6]=>[5,8,7,2,6,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,7,2,3,8,5,6]=>[8,5,2,7,6,1,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,7,8,3,5,6]=>[5,8,7,2,1,6,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,7,2,8,3,5,6]=>[8,5,2,7,1,6,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,7,8,2,3,5,6]=>[8,5,2,1,7,6,4,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,7,2,3,5,8,6]=>[5,8,2,7,6,4,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,7,1,2,3,5,8,6]=>[5,2,8,7,6,4,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,7,3,5,8,6]=>[5,8,7,2,6,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,2,7,3,5,8,6]=>[8,5,7,2,6,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,7,2,3,5,8,6]=>[8,5,2,7,6,4,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,2,3,7,5,8,6]=>[5,8,7,6,2,4,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,3,7,5,8,6]=>[8,5,7,6,2,4,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,3,7,5,8,6]=>[8,7,5,6,2,4,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,7,3,5,8,6]=>[8,7,5,2,6,4,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,1,2,3,7,8,5,6]=>[5,8,7,6,2,1,4,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,3,7,8,5,6]=>[8,5,7,6,2,1,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,7,3,8,5,6]=>[8,7,5,2,6,1,4,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,1,7,2,3,5,6,8]=>[5,8,2,7,6,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,7,1,2,3,5,6,8]=>[5,2,8,7,6,4,3,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [4,1,2,7,3,5,6,8]=>[5,8,7,2,6,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,4,2,7,3,5,6,8]=>[8,5,7,2,6,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,2,3,7,5,6,8]=>[5,8,7,6,2,4,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,4,3,7,5,6,8]=>[8,7,5,6,2,4,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,3,5,7,6,8]=>[8,5,7,6,4,2,3,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,5,7,3,6,8]=>[8,7,5,4,2,6,3,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,1,2,3,5,7,8,6]=>[5,8,7,6,4,2,1,3]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,4,2,3,5,7,8,6]=>[8,5,7,6,4,2,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,4,5,7,3,8,6]=>[8,7,5,4,2,6,1,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,4,5,7,8,3,6]=>[8,7,5,4,2,1,6,3]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [4,1,8,2,3,5,6,7]=>[5,8,1,7,6,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,8,1,2,3,5,6,7]=>[5,1,8,7,6,4,3,2]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [4,1,2,8,3,5,6,7]=>[5,8,7,1,6,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,4,8,2,3,5,6,7]=>[8,5,1,7,6,4,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,3,8,5,6,7]=>[8,5,7,6,1,4,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,2,3,5,8,6,7]=>[8,5,7,6,4,1,3,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,3,5,8,6,7]=>[8,7,5,6,4,1,3,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,5,3,8,6,7]=>[8,7,5,4,6,1,3,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,4,2,3,5,6,8,7]=>[8,5,7,6,4,3,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,4,2,3,5,6,7,8]=>[8,5,7,6,4,3,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,1,2,7,3,8,4]=>[4,3,8,7,2,6,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,1,7,2,3,8,4]=>[4,3,8,2,7,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,7,1,2,3,8,4]=>[4,3,2,8,7,6,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,1,6,2,7,8,3,4]=>[4,8,3,7,2,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,6,7,2,8,3,4]=>[4,8,3,2,7,1,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,7,1,2,8,3,4]=>[4,3,2,8,7,1,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,6,7,8,2,3,4]=>[4,8,3,2,1,7,6,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,1,7,8,2,3,4]=>[4,3,8,2,1,7,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,6,2,7,3,4,8]=>[4,8,3,7,2,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,1,2,7,3,4,8]=>[4,3,8,7,2,6,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,6,7,2,3,4,8]=>[4,8,3,2,7,6,5,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,6,1,7,2,3,4,8]=>[4,3,8,2,7,6,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,6,2,3,7,4,8]=>[4,8,3,7,6,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,1,2,3,7,4,8]=>[4,3,8,7,6,2,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,6,3,7,4,8]=>[4,8,7,3,6,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,6,2,3,7,4,8]=>[8,4,3,7,6,2,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,6,7,3,4,8]=>[4,8,7,3,2,6,5,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [5,1,6,2,3,7,8,4]=>[4,8,3,7,6,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,6,1,2,3,7,8,4]=>[4,3,8,7,6,2,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,6,2,3,7,8,4]=>[8,4,3,7,6,2,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,6,7,3,8,4]=>[4,8,7,3,2,6,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,6,7,3,8,4]=>[8,4,7,3,2,6,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,6,2,7,3,8,4]=>[8,4,3,7,2,6,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,1,2,6,7,8,3,4]=>[4,8,7,3,2,1,6,5]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,6,2,7,8,3,4]=>[8,4,3,7,2,1,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,6,7,2,8,3,4]=>[8,4,3,2,7,1,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [5,1,6,2,8,3,4,7]=>[4,8,3,7,1,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,1,2,8,3,4,7]=>[4,3,8,7,1,6,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,6,8,2,3,4,7]=>[4,8,3,1,7,6,5,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,6,1,8,2,3,4,7]=>[4,3,8,1,7,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,6,8,1,2,3,4,7]=>[4,3,1,8,7,6,5,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,1,2,3,8,4,7]=>[4,3,8,7,6,1,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,6,3,8,4,7]=>[4,8,7,3,6,1,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,6,3,8,4,7]=>[8,4,7,3,6,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,6,8,3,4,7]=>[4,8,7,3,1,6,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,6,8,3,4,7]=>[8,4,7,3,1,6,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,6,8,2,3,4,7]=>[8,4,3,1,7,6,5,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [5,1,6,2,3,4,8,7]=>[4,8,3,7,6,5,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,6,1,2,3,4,8,7]=>[4,3,8,7,6,5,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,6,3,4,8,7]=>[4,8,7,3,6,5,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,6,2,3,4,8,7]=>[8,4,3,7,6,5,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,2,3,6,4,8,7]=>[8,4,7,6,3,5,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,5,3,6,4,8,7]=>[8,7,4,6,3,5,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,5,6,3,4,8,7]=>[8,7,4,3,6,5,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,1,2,3,6,8,4,7]=>[4,8,7,6,3,1,5,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,3,6,8,4,7]=>[8,4,7,6,3,1,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,5,3,6,8,4,7]=>[8,7,4,6,3,1,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,5,6,3,8,4,7]=>[8,7,4,3,6,1,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,1,6,2,3,4,7,8]=>[4,8,3,7,6,5,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,1,2,6,3,4,7,8]=>[4,8,7,3,6,5,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,2,6,3,4,7,8]=>[8,4,7,3,6,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,6,2,3,4,7,8]=>[8,4,3,7,6,5,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [5,1,2,3,6,4,7,8]=>[4,8,7,6,3,5,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,3,6,4,7,8]=>[8,4,7,6,3,5,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [5,1,2,3,6,7,4,8]=>[4,8,7,6,3,2,5,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,5,3,6,7,4,8]=>[8,7,4,6,3,2,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,5,6,3,7,4,8]=>[8,7,4,3,6,2,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,5,2,3,6,7,8,4]=>[8,4,7,6,3,2,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,5,3,6,7,8,4]=>[8,7,4,6,3,2,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,5,6,3,7,8,4]=>[8,7,4,3,6,2,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,5,6,7,3,8,4]=>[8,7,4,3,2,6,1,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,5,6,7,8,3,4]=>[8,7,4,3,2,1,6,5]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [5,1,7,2,8,3,4,6]=>[4,8,2,7,1,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,1,2,8,3,4,6]=>[4,2,8,7,1,6,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,7,8,2,3,4,6]=>[4,8,2,1,7,6,5,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,1,8,2,3,4,6]=>[4,2,8,1,7,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,8,1,2,3,4,6]=>[4,2,1,8,7,6,5,3]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [5,1,7,2,3,8,4,6]=>[4,8,2,7,6,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,1,2,3,8,4,6]=>[4,2,8,7,6,1,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,7,3,8,4,6]=>[8,4,7,2,6,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,7,2,3,8,4,6]=>[8,4,2,7,6,1,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,7,8,3,4,6]=>[4,8,7,2,1,6,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,7,8,3,4,6]=>[8,4,7,2,1,6,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,7,8,2,3,4,6]=>[8,4,2,1,7,6,5,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [5,1,7,2,3,4,8,6]=>[4,8,2,7,6,5,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,7,1,2,3,4,8,6]=>[4,2,8,7,6,5,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,2,7,3,4,8,6]=>[8,4,7,2,6,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,7,2,3,4,8,6]=>[8,4,2,7,6,5,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,3,7,4,8,6]=>[4,8,7,6,2,5,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,3,7,4,8,6]=>[8,4,7,6,2,5,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,5,3,7,4,8,6]=>[8,7,4,6,2,5,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,5,7,3,4,8,6]=>[8,7,4,2,6,5,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,1,2,3,7,8,4,6]=>[4,8,7,6,2,1,5,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,5,3,7,8,4,6]=>[8,7,4,6,2,1,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,5,7,3,8,4,6]=>[8,7,4,2,6,1,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,5,7,8,3,4,6]=>[8,7,4,2,1,6,5,3]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [5,1,7,2,3,4,6,8]=>[4,8,2,7,6,5,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,7,2,3,4,6,8]=>[8,4,2,7,6,5,3,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [5,1,2,3,7,4,6,8]=>[4,8,7,6,2,5,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,5,3,7,4,6,8]=>[8,7,4,6,2,5,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,5,7,3,4,6,8]=>[8,7,4,2,6,5,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [5,1,2,3,4,7,6,8]=>[4,8,7,6,5,2,3,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,5,3,4,7,6,8]=>[8,7,4,6,5,2,3,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,3,5,7,4,6,8]=>[8,7,6,4,2,5,3,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [5,1,2,3,4,7,8,6]=>[4,8,7,6,5,2,1,3]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,5,2,3,4,7,8,6]=>[8,4,7,6,5,2,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,5,3,4,7,8,6]=>[8,7,4,6,5,2,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,5,7,4,8,6]=>[8,7,6,4,2,5,1,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,5,7,8,4,6]=>[8,7,6,4,2,1,5,3]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [5,1,8,2,3,4,6,7]=>[4,8,1,7,6,5,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,8,2,3,4,6,7]=>[8,4,1,7,6,5,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,3,8,4,6,7]=>[8,4,7,6,1,5,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [5,1,2,3,4,8,6,7]=>[4,8,7,6,5,1,3,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,5,3,4,8,6,7]=>[8,7,4,6,5,1,3,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,3,5,4,8,6,7]=>[8,7,6,4,5,1,3,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,3,5,8,4,6,7]=>[8,7,6,4,1,5,3,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [5,1,2,3,4,6,8,7]=>[4,8,7,6,5,3,1,2]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,5,3,4,6,8,7]=>[8,7,4,6,5,3,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,5,6,8,4,7]=>[8,7,6,4,3,1,5,2]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,5,2,3,4,6,7,8]=>[8,4,7,6,5,3,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,2,5,3,4,6,7,8]=>[8,7,4,6,5,3,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,1,2,8,3,4,5]=>[3,2,8,7,1,6,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,7,8,2,3,4,5]=>[3,8,2,1,7,6,5,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,1,8,2,3,4,5]=>[3,2,8,1,7,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,7,2,3,8,4,5]=>[3,8,2,7,6,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,1,2,3,8,4,5]=>[3,2,8,7,6,1,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,7,3,8,4,5]=>[3,8,7,2,6,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,7,8,3,4,5]=>[3,8,7,2,1,6,5,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [6,1,7,2,3,4,8,5]=>[3,8,2,7,6,5,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,7,1,2,3,4,8,5]=>[3,2,8,7,6,5,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,7,2,3,4,8,5]=>[8,3,2,7,6,5,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,2,3,7,4,8,5]=>[3,8,7,6,2,5,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,3,7,4,8,5]=>[8,3,7,6,2,5,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,3,7,4,8,5]=>[8,7,3,6,2,5,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,1,2,3,7,8,4,5]=>[3,8,7,6,2,1,5,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,3,7,8,4,5]=>[8,3,7,6,2,1,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,6,7,3,8,4,5]=>[8,7,3,2,6,1,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,2,7,3,4,5,8]=>[8,3,7,2,6,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [6,1,2,3,7,4,5,8]=>[3,8,7,6,2,5,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,3,7,4,5,8]=>[8,3,7,6,2,5,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,6,7,3,4,5,8]=>[8,7,3,2,6,5,4,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,3,4,7,5,8]=>[8,3,7,6,5,2,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [6,1,2,3,4,7,8,5]=>[3,8,7,6,5,2,1,4]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,6,2,3,4,7,8,5]=>[8,3,7,6,5,2,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,6,4,7,8,5]=>[8,7,6,3,5,2,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,6,7,8,4,5]=>[8,7,6,3,2,1,5,4]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,2,8,3,4,5,7]=>[8,3,7,1,6,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,3,8,4,5,7]=>[8,3,7,6,1,5,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,6,3,8,4,5,7]=>[8,7,3,6,1,5,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,6,8,3,4,5,7]=>[8,7,3,1,6,5,4,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [6,1,2,3,4,8,5,7]=>[3,8,7,6,5,1,4,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,6,3,4,8,5,7]=>[8,7,3,6,5,1,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,3,6,8,4,5,7]=>[8,7,6,3,1,5,4,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [6,1,2,3,4,5,8,7]=>[3,8,7,6,5,4,1,2]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,6,2,3,4,5,8,7]=>[8,3,7,6,5,4,1,2]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,6,3,4,5,8,7]=>[8,7,3,6,5,4,1,2]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,3,4,6,8,5,7]=>[8,7,6,5,3,1,4,2]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,6,2,3,4,5,7,8]=>[8,3,7,6,5,4,2,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,2,3,6,4,5,7,8]=>[8,7,6,3,5,4,2,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,2,3,8,4,5,6]=>[8,2,7,6,1,5,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,7,3,8,4,5,6]=>[8,7,2,6,1,5,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,7,8,3,4,5,6]=>[8,7,2,1,6,5,4,3]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [7,1,2,3,4,8,5,6]=>[2,8,7,6,5,1,4,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,3,7,4,8,5,6]=>[8,7,6,2,5,1,4,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,1,2,3,4,5,8,6]=>[2,8,7,6,5,4,1,3]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,7,3,4,5,8,6]=>[8,7,2,6,5,4,1,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,7,4,5,8,6]=>[8,7,6,2,5,4,1,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,2,7,3,4,5,6,8]=>[8,7,2,6,5,4,3,1]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,2,3,7,4,5,6,8]=>[8,7,6,2,5,4,3,1]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,2,3,4,7,5,6,8]=>[8,7,6,5,2,4,3,1]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[1,2,1,1,1,1,1]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>[1,1,2,1,1,1,1]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>[1,1,1,2,1,1,1]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>[1,1,1,1,2,1,1]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,2,3,4,5,8,6,7]=>[8,7,6,5,4,1,3,2]=>[1,1,1,1,1,2,1]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,2,5,1,4,6,7,8]=>[6,7,4,8,5,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,2,4,1,3,6,7,8]=>[4,7,5,8,6,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,2,6,1,3,5,7,8]=>[5,7,3,8,6,4,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,2,6,1,3,4,7,8]=>[4,7,3,8,6,5,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,3,6,1,2,4,7,8]=>[4,6,3,8,7,5,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,2,4,1,3,5,7,8]=>[3,7,5,8,6,4,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,2,5,1,3,4,7,8]=>[3,7,4,8,6,5,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,2,7,1,4,5,6,8]=>[6,7,2,8,5,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,2,7,1,3,5,6,8]=>[5,7,2,8,6,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,3,7,1,2,5,6,8]=>[5,6,2,8,7,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,3,7,1,2,4,6,8]=>[4,6,2,8,7,5,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,4,7,1,2,3,6,8]=>[4,5,2,8,7,6,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,2,7,1,3,4,5,8]=>[3,7,2,8,6,5,4,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,3,7,1,2,4,5,8]=>[3,6,2,8,7,5,4,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,4,7,1,2,3,5,8]=>[3,5,2,8,7,6,4,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,2,4,1,3,5,6,8]=>[2,7,5,8,6,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,2,5,1,3,4,6,8]=>[2,7,4,8,6,5,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,3,5,1,2,4,6,8]=>[2,6,4,8,7,5,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,3,6,1,2,4,5,8]=>[2,6,3,8,7,5,4,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,4,6,1,2,3,5,8]=>[2,5,3,8,7,6,4,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,2,8,1,3,5,6,7]=>[5,7,1,8,6,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,3,8,1,2,5,6,7]=>[5,6,1,8,7,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,2,8,1,3,4,6,7]=>[4,7,1,8,6,5,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,3,8,1,2,4,6,7]=>[4,6,1,8,7,5,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,4,8,1,2,3,6,7]=>[4,5,1,8,7,6,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,2,8,1,3,4,5,7]=>[3,7,1,8,6,5,4,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,3,8,1,2,4,5,7]=>[3,6,1,8,7,5,4,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,5,8,1,2,3,4,7]=>[3,4,1,8,7,6,5,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,2,8,1,3,4,5,6]=>[2,7,1,8,6,5,4,3]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,4,8,1,2,3,5,6]=>[2,5,1,8,7,6,4,3]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,2,4,1,3,5,6,7]=>[1,7,5,8,6,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,2,5,1,3,4,6,7]=>[1,7,4,8,6,5,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,4,6,1,2,3,5,7]=>[1,5,3,8,7,6,4,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,2,7,1,3,4,5,6]=>[1,7,2,8,6,5,4,3]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,3,7,1,2,4,5,6]=>[1,6,2,8,7,5,4,3]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,4,7,1,2,3,5,6]=>[1,5,2,8,7,6,4,3]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,5,7,1,2,3,4,6]=>[1,4,2,8,7,6,5,3]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,2,5,7,1,4,6,8]=>[6,7,4,2,8,5,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,5,7,1,3,6,8]=>[5,7,4,2,8,6,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,4,7,1,3,6,8]=>[4,7,5,2,8,6,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,4,7,1,2,6,8]=>[4,6,5,2,8,7,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,6,7,1,4,5,8]=>[6,7,3,2,8,5,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,6,7,1,3,5,8]=>[5,7,3,2,8,6,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,6,7,1,2,4,8]=>[4,6,3,2,8,7,5,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,4,7,1,2,5,8]=>[3,6,5,2,8,7,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,5,7,1,3,4,8]=>[3,7,4,2,8,6,5,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,5,7,1,2,4,8]=>[3,6,4,2,8,7,5,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,2,4,6,1,3,5,8]=>[2,7,5,3,8,6,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,3,5,6,1,2,4,8]=>[2,6,4,3,8,7,5,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,5,8,1,4,6,7]=>[6,7,4,1,8,5,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,5,8,1,3,6,7]=>[5,7,4,1,8,6,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,5,8,1,2,6,7]=>[5,6,4,1,8,7,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,4,8,1,3,6,7]=>[4,7,5,1,8,6,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,4,8,1,2,6,7]=>[4,6,5,1,8,7,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,6,8,1,4,5,7]=>[6,7,3,1,8,5,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,6,8,1,3,5,7]=>[5,7,3,1,8,6,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,6,8,1,2,5,7]=>[5,6,3,1,8,7,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,6,8,1,3,4,7]=>[4,7,3,1,8,6,5,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,6,8,1,2,4,7]=>[4,6,3,1,8,7,5,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,4,6,8,1,2,3,7]=>[4,5,3,1,8,7,6,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,4,8,1,3,5,7]=>[3,7,5,1,8,6,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,4,8,1,2,5,7]=>[3,6,5,1,8,7,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,5,8,1,3,4,7]=>[3,7,4,1,8,6,5,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,5,8,1,2,4,7]=>[3,6,4,1,8,7,5,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,4,5,8,1,2,3,7]=>[3,5,4,1,8,7,6,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,7,8,1,4,5,6]=>[6,7,2,1,8,5,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,7,8,1,2,5,6]=>[5,6,2,1,8,7,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,7,8,1,3,4,6]=>[4,7,2,1,8,6,5,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,7,8,1,2,4,6]=>[4,6,2,1,8,7,5,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,7,8,1,3,4,5]=>[3,7,2,1,8,6,5,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,4,7,8,1,2,3,5]=>[3,5,2,1,8,7,6,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,2,4,8,1,3,5,6]=>[2,7,5,1,8,6,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,3,4,8,1,2,5,6]=>[2,6,5,1,8,7,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,3,5,8,1,2,4,6]=>[2,6,4,1,8,7,5,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,4,5,8,1,2,3,6]=>[2,5,4,1,8,7,6,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,2,6,8,1,3,4,5]=>[2,7,3,1,8,6,5,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,3,6,8,1,2,4,5]=>[2,6,3,1,8,7,5,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,4,6,8,1,2,3,5]=>[2,5,3,1,8,7,6,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,3,4,6,1,2,5,7]=>[1,6,5,3,8,7,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,3,5,6,1,2,4,7]=>[1,6,4,3,8,7,5,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,4,7,1,3,5,6]=>[1,7,5,2,8,6,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,3,4,7,1,2,5,6]=>[1,6,5,2,8,7,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,5,7,1,3,4,6]=>[1,7,4,2,8,6,5,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,3,5,7,1,2,4,6]=>[1,6,4,2,8,7,5,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,6,7,1,3,4,5]=>[1,7,3,2,8,6,5,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,4,6,7,1,2,3,5]=>[1,5,3,2,8,7,6,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,2,5,1,4,7,8]=>[6,3,7,4,8,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,2,5,1,3,7,8]=>[5,3,7,4,8,6,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,3,5,1,2,7,8]=>[5,3,6,4,8,7,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,6,2,4,1,3,7,8]=>[4,3,7,5,8,6,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,2,5,1,4,6,8]=>[6,2,7,4,8,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,2,5,1,3,6,8]=>[5,2,7,4,8,6,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,3,5,1,2,6,8]=>[5,2,6,4,8,7,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,2,4,1,3,6,8]=>[4,2,7,5,8,6,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,3,4,1,2,6,8]=>[4,2,6,5,8,7,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,2,6,1,4,5,8]=>[6,2,7,3,8,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,3,6,1,2,5,8]=>[5,2,6,3,8,7,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,2,6,1,3,4,8]=>[4,2,7,3,8,6,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,3,6,1,2,4,8]=>[4,2,6,3,8,7,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,4,6,1,2,3,8]=>[4,2,5,3,8,7,6,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,2,4,1,3,5,8]=>[3,2,7,5,8,6,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,2,5,1,3,4,8]=>[3,2,7,4,8,6,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,3,5,1,2,4,8]=>[3,2,6,4,8,7,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,2,5,1,4,6,7]=>[6,1,7,4,8,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,2,5,1,3,6,7]=>[5,1,7,4,8,6,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,3,5,1,2,6,7]=>[5,1,6,4,8,7,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,2,4,1,3,6,7]=>[4,1,7,5,8,6,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,3,4,1,2,6,7]=>[4,1,6,5,8,7,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,2,6,1,4,5,7]=>[6,1,7,3,8,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,2,6,1,3,5,7]=>[5,1,7,3,8,6,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,2,6,1,3,4,7]=>[4,1,7,3,8,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,3,6,1,2,4,7]=>[4,1,6,3,8,7,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,4,6,1,2,3,7]=>[4,1,5,3,8,7,6,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,2,4,1,3,5,7]=>[3,1,7,5,8,6,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,3,4,1,2,5,7]=>[3,1,6,5,8,7,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,2,5,1,3,4,7]=>[3,1,7,4,8,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,3,5,1,2,4,7]=>[3,1,6,4,8,7,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,4,5,1,2,3,7]=>[3,1,5,4,8,7,6,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,2,7,1,3,5,6]=>[5,1,7,2,8,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,3,7,1,2,5,6]=>[5,1,6,2,8,7,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,2,7,1,3,4,6]=>[4,1,7,2,8,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,4,7,1,2,3,6]=>[4,1,5,2,8,7,6,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,2,7,1,3,4,5]=>[3,1,7,2,8,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,3,7,1,2,4,5]=>[3,1,6,2,8,7,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,4,7,1,2,3,5]=>[3,1,5,2,8,7,6,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,5,7,1,2,3,4]=>[3,1,4,2,8,7,6,5]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,2,4,1,3,5,6]=>[2,1,7,5,8,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,2,5,1,3,4,6]=>[2,1,7,4,8,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,3,5,1,2,4,6]=>[2,1,6,4,8,7,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,2,6,1,3,4,5]=>[2,1,7,3,8,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,3,6,1,2,4,5]=>[2,1,6,3,8,7,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,4,6,1,2,3,5]=>[2,1,5,3,8,7,6,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,2,5,8,1,4,7]=>[6,3,7,4,1,8,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,5,8,1,3,7]=>[5,3,7,4,1,8,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,4,8,1,3,7]=>[4,3,7,5,1,8,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,3,4,8,1,2,7]=>[4,3,6,5,1,8,7,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,5,8,1,4,6]=>[6,2,7,4,1,8,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,5,8,1,3,6]=>[5,2,7,4,1,8,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,5,8,1,2,6]=>[5,2,6,4,1,8,7,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,4,8,1,3,6]=>[4,2,7,5,1,8,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,3,4,8,1,2,6]=>[4,2,6,5,1,8,7,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,6,8,1,4,5]=>[6,2,7,3,1,8,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,6,8,1,3,5]=>[5,2,7,3,1,8,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,6,8,1,2,5]=>[5,2,6,3,1,8,7,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,6,8,1,3,4]=>[4,2,7,3,1,8,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,3,6,8,1,2,4]=>[4,2,6,3,1,8,7,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,6,8,1,2,3]=>[4,2,5,3,1,8,7,6]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,4,8,1,3,5]=>[3,2,7,5,1,8,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,5,8,1,3,4]=>[3,2,7,4,1,8,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,3,5,8,1,2,4]=>[3,2,6,4,1,8,7,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,8,2,5,7,1,4,6]=>[6,1,7,4,2,8,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,8,2,5,7,1,3,6]=>[5,1,7,4,2,8,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,8,3,5,7,1,2,6]=>[5,1,6,4,2,8,7,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,2,4,7,1,3,6]=>[4,1,7,5,2,8,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,3,4,7,1,2,6]=>[4,1,6,5,2,8,7,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,8,2,6,7,1,4,5]=>[6,1,7,3,2,8,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,8,3,6,7,1,2,5]=>[5,1,6,3,2,8,7,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,2,6,7,1,3,4]=>[4,1,7,3,2,8,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,3,6,7,1,2,4]=>[4,1,6,3,2,8,7,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,4,6,7,1,2,3]=>[4,1,5,3,2,8,7,6]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,2,4,7,1,3,5]=>[3,1,7,5,2,8,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,4,7,1,2,5]=>[3,1,6,5,2,8,7,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,2,5,7,1,3,4]=>[3,1,7,4,2,8,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,5,7,1,2,4]=>[3,1,6,4,2,8,7,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,2,4,6,1,3,5]=>[2,1,7,5,3,8,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,3,4,6,1,2,5]=>[2,1,6,5,3,8,7,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,2,5,6,1,3,4]=>[2,1,7,4,3,8,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,3,5,6,1,2,4]=>[2,1,6,4,3,8,7,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,7,2,6,1,4,8]=>[4,6,2,7,3,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,7,2,6,1,3,8]=>[4,5,2,7,3,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,7,3,6,1,2,8]=>[4,5,2,6,3,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,7,2,5,1,4,8]=>[3,6,2,7,4,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,4,7,3,5,1,2,8]=>[3,5,2,6,4,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,7,2,4,1,3,8]=>[3,4,2,7,5,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,6,2,5,1,4,8]=>[2,6,3,7,4,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,2,5,1,3,8]=>[2,5,3,7,4,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,3,5,1,2,8]=>[2,5,3,6,4,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,6,2,4,1,3,8]=>[2,4,3,7,5,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,8,2,6,1,4,7]=>[4,6,1,7,3,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,8,2,6,1,3,7]=>[4,5,1,7,3,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,8,3,6,1,2,7]=>[4,5,1,6,3,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,4,8,2,5,1,3,7]=>[3,5,1,7,4,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,4,8,3,5,1,2,7]=>[3,5,1,6,4,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,8,2,4,1,3,7]=>[3,4,1,7,5,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,8,3,4,1,2,7]=>[3,4,1,6,5,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,8,2,7,1,4,6]=>[4,6,1,7,2,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,8,2,7,1,3,6]=>[4,5,1,7,2,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,8,3,7,1,2,6]=>[4,5,1,6,2,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,8,2,7,1,4,5]=>[3,6,1,7,2,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,4,8,2,7,1,3,5]=>[3,5,1,7,2,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,4,8,3,7,1,2,5]=>[3,5,1,6,2,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,8,3,7,1,2,4]=>[3,4,1,6,2,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,8,4,7,1,2,3]=>[3,4,1,5,2,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,8,2,5,1,4,6]=>[2,6,1,7,4,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,8,2,5,1,3,6]=>[2,5,1,7,4,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,8,3,5,1,2,6]=>[2,5,1,6,4,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,8,2,4,1,3,6]=>[2,4,1,7,5,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,8,3,4,1,2,6]=>[2,4,1,6,5,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,8,2,6,1,4,5]=>[2,6,1,7,3,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,8,2,6,1,3,5]=>[2,5,1,7,3,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,8,3,6,1,2,5]=>[2,5,1,6,3,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,8,2,6,1,3,4]=>[2,4,1,7,3,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,8,3,6,1,2,4]=>[2,4,1,6,3,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,8,4,6,1,2,3]=>[2,4,1,5,3,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,6,8,2,4,1,3,5]=>[2,3,1,7,5,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,6,8,2,5,1,3,4]=>[2,3,1,7,4,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,6,8,3,5,1,2,4]=>[2,3,1,6,4,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,6,2,5,1,3,7]=>[1,5,3,7,4,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,6,3,5,1,2,7]=>[1,5,3,6,4,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,5,6,2,4,1,3,7]=>[1,4,3,7,5,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,7,2,5,1,4,6]=>[1,6,2,7,4,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,7,3,5,1,2,6]=>[1,5,2,6,4,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,5,7,3,4,1,2,6]=>[1,4,2,6,5,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,7,2,6,1,3,5]=>[1,5,2,7,3,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,7,3,6,1,2,5]=>[1,5,2,6,3,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,5,7,2,6,1,3,4]=>[1,4,2,7,3,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,5,7,3,6,1,2,4]=>[1,4,2,6,3,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,5,7,4,6,1,2,3]=>[1,4,2,5,3,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,6,7,2,4,1,3,5]=>[1,3,2,7,5,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,6,7,2,5,1,3,4]=>[1,3,2,7,4,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,6,7,3,5,1,2,4]=>[1,3,2,6,4,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,3,4,7,5,6]=>[1,8,7,6,5,2,4,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,3,6,4,8,5]=>[2,8,7,6,3,5,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,3,8,7,4,6]=>[4,8,7,6,1,2,5,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,2,3,6,7,4,5]=>[1,8,7,6,3,2,5,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,8,3,7,5,6]=>[5,8,7,1,6,2,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,5,3,4,6,7]=>[1,8,7,4,6,5,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,1,2,6,3,4,5,7]=>[1,8,7,3,6,5,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,2,6,3,4,8,5]=>[2,8,7,3,6,5,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,2,5,3,8,4,7]=>[3,8,7,4,6,1,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,5,3,7,4,6]=>[1,8,7,4,6,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,6,3,7,4,5]=>[1,8,7,3,6,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,5,3,7,8,4]=>[3,8,7,4,6,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,2,8,6,3,5,7]=>[5,8,7,1,3,6,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,2,8,7,3,5,6]=>[5,8,7,1,2,6,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,2,7,6,3,8,5]=>[5,8,7,2,3,6,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,2,5,6,3,4,7]=>[1,8,7,4,3,6,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,2,5,7,3,4,6]=>[1,8,7,4,2,6,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,2,5,6,3,8,4]=>[2,8,7,4,3,6,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,5,8,7,3,6]=>[5,8,7,4,1,2,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,2,5,6,7,3,4]=>[1,8,7,4,3,2,6,5]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,8,2,4,7,5,6]=>[6,8,1,7,5,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,8,2,6,4,5,7]=>[6,8,1,7,3,5,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,8,2,7,4,5,6]=>[6,8,1,7,2,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,7,2,6,4,8,5]=>[6,8,2,7,3,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,2,6,7,4,5]=>[6,8,1,7,3,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,4,2,3,5,8,6]=>[2,8,5,7,6,4,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,1,4,2,3,8,5,7]=>[3,8,5,7,6,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,4,2,3,7,5,6]=>[1,8,5,7,6,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,4,2,3,7,8,5]=>[3,8,5,7,6,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,5,2,3,4,6,7]=>[1,8,4,7,6,5,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [7,1,5,2,3,4,8,6]=>[2,8,4,7,6,5,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [6,1,5,2,3,8,4,7]=>[3,8,4,7,6,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,5,2,3,7,4,6]=>[1,8,4,7,6,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,8,2,3,7,4,5]=>[3,8,1,7,6,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,5,2,3,7,8,4]=>[3,8,4,7,6,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,4,2,8,3,6,7]=>[4,8,5,7,1,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,4,2,7,3,8,6]=>[4,8,5,7,2,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,2,6,3,5,7]=>[1,8,5,7,3,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,4,2,7,3,5,6]=>[1,8,5,7,2,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,4,2,6,3,8,5]=>[2,8,5,7,3,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,2,6,3,4,7]=>[1,8,4,7,3,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,5,2,7,3,4,6]=>[1,8,4,7,2,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,5,2,6,3,8,4]=>[2,8,4,7,3,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,4,2,6,8,3,7]=>[4,8,5,7,3,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,4,2,8,7,3,6]=>[4,8,5,7,1,2,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,4,2,6,7,3,5]=>[1,8,5,7,3,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,5,2,6,7,3,4]=>[1,8,4,7,3,2,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,4,2,6,7,8,3]=>[4,8,5,7,3,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,1,4,8,2,7,5,6]=>[6,8,5,1,7,2,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,8,5,2,4,6,7]=>[6,8,1,4,7,5,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,1,7,5,2,4,8,6]=>[6,8,2,4,7,5,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,8,6,2,4,5,7]=>[6,8,1,3,7,5,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,1,7,6,2,4,8,5]=>[6,8,2,3,7,5,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,6,5,2,8,4,7]=>[6,8,3,4,7,1,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,8,5,2,7,4,6]=>[6,8,1,4,7,2,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,8,6,2,7,4,5]=>[6,8,1,3,7,2,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,6,5,2,7,8,4]=>[6,8,3,4,7,2,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,4,5,2,3,6,7]=>[1,8,5,4,7,6,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,4,5,2,3,8,6]=>[2,8,5,4,7,6,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,4,6,2,3,5,7]=>[1,8,5,3,7,6,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,4,8,2,3,5,6]=>[2,8,5,1,7,6,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,1,6,5,2,3,4,7]=>[1,8,3,4,7,6,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,8,5,2,3,4,6]=>[2,8,1,4,7,6,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,6,5,2,3,8,4]=>[2,8,3,4,7,6,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,4,5,2,7,3,6]=>[1,8,5,4,7,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,6,2,7,3,5]=>[1,8,5,3,7,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,6,5,2,7,3,4]=>[1,8,3,4,7,2,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,4,5,2,7,8,3]=>[3,8,5,4,7,2,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,4,8,6,2,5,7]=>[6,8,5,1,3,7,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,4,8,7,2,5,6]=>[6,8,5,1,2,7,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,4,7,6,2,8,5]=>[6,8,5,2,3,7,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,5,6,2,4,7]=>[6,8,1,4,3,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,8,5,7,2,4,6]=>[6,8,1,4,2,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,8,7,6,2,4,5]=>[6,8,1,2,3,7,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,1,7,5,6,2,8,4]=>[6,8,2,4,3,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,5,6,2,3,7]=>[1,8,5,4,3,7,6,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,4,5,7,2,3,6]=>[1,8,5,4,2,7,6,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,4,7,6,2,3,5]=>[1,8,5,2,3,7,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,7,5,6,2,3,4]=>[1,8,2,4,3,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,4,5,6,2,8,3]=>[2,8,5,4,3,7,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,5,8,7,2,6]=>[6,8,5,4,1,2,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,4,8,6,7,2,5]=>[6,8,5,1,3,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,8,5,6,7,2,4]=>[6,8,1,4,3,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,4,5,6,7,2,3]=>[1,8,5,4,3,2,7,6]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,8,1,3,4,7,5,6]=>[7,1,8,6,5,2,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,8,1,3,6,4,5,7]=>[7,1,8,6,3,5,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,1,3,7,4,5,6]=>[7,1,8,6,2,5,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,1,3,6,4,8,5]=>[7,2,8,6,3,5,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,3,8,7,4,6]=>[7,4,8,6,1,2,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,1,3,6,7,4,5]=>[7,1,8,6,3,2,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,8,3,7,5,6]=>[7,5,8,1,6,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,1,5,3,4,6,7]=>[7,1,8,4,6,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,1,5,3,4,8,6]=>[7,2,8,4,6,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,1,6,3,4,5,7]=>[7,1,8,3,6,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,1,6,3,4,8,5]=>[7,2,8,3,6,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,5,3,8,4,7]=>[7,3,8,4,6,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,1,6,3,7,4,5]=>[7,1,8,3,6,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,5,3,7,8,4]=>[7,3,8,4,6,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,1,8,6,3,5,7]=>[7,5,8,1,3,6,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,1,7,6,3,8,5]=>[7,5,8,2,3,6,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,5,6,3,4,7]=>[7,1,8,4,3,6,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,1,5,7,3,4,6]=>[7,1,8,4,2,6,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,1,7,6,3,4,5]=>[7,1,8,2,3,6,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,1,5,6,3,8,4]=>[7,2,8,4,3,6,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,5,8,7,3,6]=>[7,5,8,4,1,2,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,8,6,7,3,5]=>[7,5,8,1,3,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,1,5,6,7,3,4]=>[7,1,8,4,3,2,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,8,1,2,3,7,4,6]=>[4,1,8,7,6,2,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,8,1,2,6,3,4,7]=>[4,1,8,7,3,6,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,1,2,7,3,4,6]=>[4,1,8,7,2,6,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,1,2,6,3,8,4]=>[4,2,8,7,3,6,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,2,6,7,3,4]=>[4,1,8,7,3,2,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,8,1,5,2,3,4,7]=>[3,1,8,4,7,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,1,5,2,3,8,4]=>[3,2,8,4,7,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,1,5,2,7,3,4]=>[3,1,8,4,7,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,5,6,2,3,4]=>[2,1,8,4,3,7,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,8,1,4,7,5,6]=>[7,6,1,8,5,2,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,8,1,7,4,5,6]=>[7,6,1,8,2,5,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,7,1,6,4,8,5]=>[7,6,2,8,3,5,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,1,8,7,4,6]=>[7,6,4,8,1,2,5,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,8,1,6,7,4,5]=>[7,6,1,8,3,2,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,4,1,3,5,6,7]=>[7,1,5,8,6,4,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [2,7,4,1,3,5,8,6]=>[7,2,5,8,6,4,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,4,1,3,8,5,7]=>[7,3,5,8,6,1,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,4,1,3,7,5,6]=>[7,1,5,8,6,2,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,4,1,3,7,8,5]=>[7,3,5,8,6,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,5,1,3,4,8,6]=>[7,2,4,8,6,5,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,7,1,3,4,5,6]=>[7,1,2,8,6,5,4,3]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [2,6,5,1,3,8,4,7]=>[7,3,4,8,6,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,5,1,3,7,4,6]=>[7,1,4,8,6,2,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,8,1,3,7,4,5]=>[7,3,1,8,6,2,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,5,1,3,7,8,4]=>[7,3,4,8,6,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,4,1,8,3,6,7]=>[7,4,5,8,1,6,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,1,7,3,8,6]=>[7,4,5,8,2,6,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,4,1,6,3,5,7]=>[7,1,5,8,3,6,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,4,1,7,3,5,6]=>[7,1,5,8,2,6,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,4,1,6,3,8,5]=>[7,2,5,8,3,6,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,1,6,3,4,7]=>[7,1,4,8,3,6,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,5,1,7,3,4,6]=>[7,1,4,8,2,6,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,8,1,6,3,4,5]=>[7,2,1,8,3,6,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,5,1,6,3,8,4]=>[7,2,4,8,3,6,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,1,6,8,3,7]=>[7,4,5,8,3,1,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,4,1,8,7,3,6]=>[7,4,5,8,1,2,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,1,6,7,3,5]=>[7,1,5,8,3,2,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,5,1,6,7,3,4]=>[7,1,4,8,3,2,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,4,1,6,7,8,3]=>[7,4,5,8,3,2,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,4,1,2,5,8,6]=>[2,6,5,8,7,4,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,3,4,1,2,8,5,7]=>[3,6,5,8,7,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,4,1,2,7,5,6]=>[1,6,5,8,7,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,4,1,2,7,8,5]=>[3,6,5,8,7,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,3,5,1,2,4,8,6]=>[2,6,4,8,7,5,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,3,7,1,2,4,8,5]=>[3,6,2,8,7,5,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,3,5,1,2,8,4,7]=>[3,6,4,8,7,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,5,1,2,7,4,6]=>[1,6,4,8,7,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,8,1,2,7,4,5]=>[3,6,1,8,7,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,5,1,2,7,8,4]=>[3,6,4,8,7,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,8,4,1,2,3,5,7]=>[3,1,5,8,7,6,4,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,4,1,2,3,8,5]=>[3,2,5,8,7,6,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,5,1,2,3,4,7]=>[3,1,4,8,7,6,5,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,5,1,2,3,8,4]=>[3,2,4,8,7,6,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,4,1,2,7,3,5]=>[3,1,5,8,7,2,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,5,1,2,7,3,4]=>[3,1,4,8,7,2,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,1,8,2,6,7]=>[4,6,5,8,1,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,4,1,7,2,8,6]=>[4,6,5,8,2,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,1,6,2,5,7]=>[1,6,5,8,3,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,4,1,7,2,5,6]=>[1,6,5,8,2,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,4,1,6,2,8,5]=>[2,6,5,8,3,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,1,6,2,4,7]=>[1,6,4,8,3,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,5,1,7,2,4,6]=>[1,6,4,8,2,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,8,1,6,2,4,5]=>[2,6,1,8,3,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,5,1,6,2,8,4]=>[2,6,4,8,3,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,5,1,6,2,3,4]=>[2,1,4,8,3,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,1,6,8,2,7]=>[4,6,5,8,3,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,4,1,8,7,2,6]=>[4,6,5,8,1,2,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,4,1,6,7,2,5]=>[1,6,5,8,3,2,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,5,1,6,7,2,4]=>[1,6,4,8,3,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,4,1,6,7,8,2]=>[4,6,5,8,3,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,3,4,8,1,7,5,6]=>[7,6,5,1,8,2,4,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,5,1,4,8,6]=>[7,6,2,4,8,5,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,8,6,1,4,5,7]=>[7,6,1,3,8,5,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,3,7,6,1,4,8,5]=>[7,6,2,3,8,5,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,6,5,1,8,4,7]=>[7,6,3,4,8,1,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,8,5,1,7,4,6]=>[7,6,1,4,8,2,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,8,6,1,7,4,5]=>[7,6,1,3,8,2,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,6,5,1,7,8,4]=>[7,6,3,4,8,2,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,8,4,5,1,3,6,7]=>[7,1,5,4,8,6,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,4,5,1,3,8,6]=>[7,2,5,4,8,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,4,6,1,3,5,7]=>[7,1,5,3,8,6,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,4,8,1,3,5,6]=>[7,2,5,1,8,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,4,6,1,3,8,5]=>[7,2,5,3,8,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,6,5,1,3,4,7]=>[7,1,3,4,8,6,5,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,7,8,5,1,3,4,6]=>[7,2,1,4,8,6,5,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,7,8,6,1,3,4,5]=>[7,2,1,3,8,6,5,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,7,6,5,1,3,8,4]=>[7,2,3,4,8,6,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,6,4,5,1,8,3,7]=>[7,3,5,4,8,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,5,1,7,3,6]=>[7,1,5,4,8,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,6,1,7,3,5]=>[7,1,5,3,8,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,5,1,7,3,4]=>[7,1,3,4,8,2,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,6,4,5,1,7,8,3]=>[7,3,5,4,8,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,5,1,2,8,6]=>[2,6,5,4,8,7,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,6,1,2,8,5]=>[2,6,5,3,8,7,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,6,5,1,2,4,7]=>[1,6,3,4,8,7,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,3,8,5,1,2,4,6]=>[2,6,1,4,8,7,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,3,8,6,1,2,4,5]=>[2,6,1,3,8,7,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,3,6,5,1,2,8,4]=>[2,6,3,4,8,7,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,4,5,1,8,2,7]=>[3,6,5,4,8,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,5,1,7,2,6]=>[1,6,5,4,8,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,6,1,7,2,5]=>[1,6,5,3,8,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,6,5,1,7,2,4]=>[1,6,3,4,8,2,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,4,5,1,7,8,2]=>[3,6,5,4,8,2,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,4,8,6,1,5,7]=>[7,6,5,1,3,8,4,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,4,8,7,1,5,6]=>[7,6,5,1,2,8,4,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,4,7,6,1,8,5]=>[7,6,5,2,3,8,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,8,5,6,1,4,7]=>[7,6,1,4,3,8,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,8,5,7,1,4,6]=>[7,6,1,4,2,8,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,8,7,6,1,4,5]=>[7,6,1,2,3,8,5,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,3,7,5,6,1,8,4]=>[7,6,2,4,3,8,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,4,5,6,1,3,7]=>[7,1,5,4,3,8,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,4,5,7,1,3,6]=>[7,1,5,4,2,8,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,4,7,6,1,3,5]=>[7,1,5,2,3,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,7,5,6,1,3,4]=>[7,1,2,4,3,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,4,5,6,1,8,3]=>[7,2,5,4,3,8,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,3,4,5,7,1,2,6]=>[1,6,5,4,2,8,7,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,3,4,7,6,1,2,5]=>[1,6,5,2,3,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,7,5,6,1,2,4]=>[1,6,2,4,3,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,4,5,6,1,8,2]=>[2,6,5,4,3,8,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,4,5,8,7,1,6]=>[7,6,5,4,1,2,8,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,4,8,6,7,1,5]=>[7,6,5,1,3,2,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,8,5,6,7,1,4]=>[7,6,1,4,3,2,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,4,5,6,7,1,3]=>[7,1,5,4,3,2,8,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,6,1,4,8,7]=>[6,4,7,3,8,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,6,4,1,8,7]=>[6,4,7,3,5,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,2,7,4,8,1,6]=>[6,4,7,2,5,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,7,4,8,6,1]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,7,2,3,8,6,1]=>[5,4,2,7,6,1,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,7,2,3,8,1,6]=>[5,4,2,7,6,1,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,6,2,3,1,8,7]=>[5,4,3,7,6,8,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,2,1,3,8,7]=>[5,4,3,7,8,6,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,1,6,4,2,8,7]=>[6,4,8,3,5,7,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,6,1,3,2,8,7]=>[5,4,3,8,6,7,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,3,1,2,8,7]=>[5,4,3,6,8,7,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,7,3,2,8,1,6]=>[5,4,2,6,7,1,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,7,3,2,8,6,1]=>[5,4,2,6,7,1,3,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,7,3,8,2,5,1]=>[5,3,2,6,1,7,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,3,8,2,1,5]=>[5,3,2,6,1,7,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,3,8,1,2,5]=>[5,3,2,6,1,8,7,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,7,3,1,8,2,6]=>[5,4,2,6,8,1,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,7,1,3,8,2,6]=>[5,4,2,8,6,1,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,7,4,8,2,6]=>[6,4,8,2,5,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,7,4,8,3,6]=>[7,8,4,2,5,1,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,7,4,8,6,3]=>[7,8,4,2,5,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,1,7,4,8,6,2]=>[6,4,8,2,5,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,7,1,3,8,6,2]=>[5,4,2,8,6,1,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,7,3,1,8,6,2]=>[5,4,2,6,8,1,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,7,3,8,1,5,2]=>[5,3,2,6,1,8,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,3,8,5,2,1]=>[5,3,2,6,1,4,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,7,8,3,1,4,2]=>[4,3,2,1,6,8,5,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,7,8,1,3,4,2]=>[4,3,2,1,8,6,5,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,6,7,1,8,3,5,2]=>[5,3,2,8,1,6,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,7,8,4,5,2]=>[6,3,8,2,1,5,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,7,8,4,5,3]=>[7,8,3,2,1,5,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,7,8,4,3,5]=>[7,8,3,2,1,5,6,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,7,8,4,2,5]=>[6,3,8,2,1,5,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,1,8,3,2,5]=>[5,3,2,8,1,6,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,7,8,1,3,2,4]=>[4,3,2,1,8,6,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,7,2,1,8,3,6]=>[5,4,2,7,8,1,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,7,2,8,1,3,5]=>[5,3,2,7,1,8,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,2,8,3,1,5]=>[5,3,2,7,1,6,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,2,8,3,5,1]=>[5,3,2,7,1,6,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,7,8,4,5,1]=>[6,3,7,2,1,5,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,7,8,4,1,5]=>[6,3,7,2,1,5,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,7,8,1,4,5]=>[6,3,7,2,1,8,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,7,1,8,4,6]=>[6,4,7,2,8,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,2,1,7,8,5,6]=>[6,5,7,8,2,1,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,2,7,8,6,5]=>[6,5,8,7,2,1,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,2,7,8,1,5,4]=>[6,3,7,2,1,8,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,7,8,5,1,4]=>[6,3,7,2,1,4,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,7,8,5,4,1]=>[6,3,7,2,1,4,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,6,7,2,8,5,3,1]=>[5,3,2,7,1,4,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,7,2,8,5,1,3]=>[5,3,2,7,1,4,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,2,1,8,6,3]=>[5,4,2,7,8,1,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,7,1,2,8,6,3]=>[5,4,2,8,7,1,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,1,7,2,8,6,4]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,7,3,8,6,4]=>[7,8,4,2,6,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,7,8,3,5,4]=>[7,8,3,2,1,6,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,7,8,2,5,4]=>[6,3,8,2,1,7,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,1,8,2,5,3]=>[5,3,2,8,1,7,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,7,8,1,2,4,3]=>[4,3,2,1,8,7,5,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,7,8,2,4,1,3]=>[4,3,2,1,7,5,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,7,8,2,4,3,1]=>[4,3,2,1,7,5,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,6,7,8,1,4,2,3]=>[4,3,2,1,8,5,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,1,8,5,2,3]=>[5,3,2,8,1,4,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,7,8,5,2,4]=>[6,3,8,2,1,4,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,7,8,5,3,4]=>[7,8,3,2,1,4,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,7,8,5,4,2]=>[6,3,8,2,1,4,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,6,7,1,8,5,3,2]=>[5,3,2,8,1,4,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,7,8,1,4,3,2]=>[4,3,2,1,8,5,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,6,7,8,4,1,3,2]=>[4,3,2,1,5,8,6,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,7,4,5,8,1,2]=>[6,3,2,5,4,1,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,7,4,5,1,8,3]=>[7,3,2,5,4,8,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,4,7,6,1,8,3]=>[7,4,5,2,3,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,4,7,6,8,1,2]=>[6,4,5,2,3,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,7,8,6,1,2]=>[5,4,6,2,1,3,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,8,3,7,5,1,2]=>[3,5,1,6,2,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,8,4,5,7,1,2]=>[3,6,1,5,4,2,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,4,8,6,7,1,2]=>[4,6,5,1,3,2,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,6,1,8,7,4]=>[6,7,4,3,8,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,5,6,8,1,7,3]=>[5,7,4,3,1,8,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,8,6,1,7,3]=>[4,7,5,1,3,8,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,2,4,5,1,6,3]=>[2,1,7,5,4,8,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,4,5,2,3,6]=>[2,1,8,5,4,7,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,8,4,5,2,3,7]=>[3,8,1,5,4,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,4,8,6,2,3,7]=>[4,8,5,1,3,7,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,3,2,8,6,5,7]=>[5,8,6,7,1,3,4,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,3,8,2,6,4,7]=>[4,8,6,1,7,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,8,3,2,5,4,7]=>[3,8,1,6,7,4,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,1,3,2,5,4,6]=>[2,1,8,6,7,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,3,1,5,6,4]=>[2,1,7,6,8,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,8,3,1,5,7,4]=>[3,7,1,6,8,4,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,7,8,1,6,3]=>[5,4,7,2,1,8,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,7,1,6,8,4]=>[7,4,6,2,8,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,7,3,2,5,4,8]=>[8,3,2,6,7,4,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,7,3,1,5,8,4]=>[7,3,2,6,8,4,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,7,2,1,8,5,4]=>[6,3,2,7,8,1,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,8,7,1,2,3,4]=>[3,4,1,2,8,7,6,5]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,4,8,1,7,2,3,5]=>[3,5,1,8,2,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,3,1,2,6,4,5]=>[2,1,6,8,7,3,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,8,1,3,4,7,5]=>[3,7,1,8,6,5,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,8,2,1,3,4,6,5]=>[2,1,7,8,6,5,3,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,4,5,1,2,7,3,6]=>[1,5,4,8,7,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,5,1,2,8,3,6]=>[2,5,4,8,7,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,5,1,2,3,8,7]=>[3,5,4,8,7,6,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,4,6,1,2,3,8,7]=>[4,5,3,8,7,6,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,6,5,3,4,8,7]=>[7,8,3,4,6,5,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,1,5,2,4,8,7]=>[6,3,8,4,7,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,5,1,2,3,8,7]=>[5,3,4,8,7,6,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,4,1,2,3,8,7]=>[4,3,5,8,7,6,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,4,1,8,2,3,5]=>[3,2,5,8,1,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,1,2,8,3,6]=>[4,2,5,8,7,1,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,5,1,2,8,3,6]=>[5,2,4,8,7,1,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,5,2,8,4,6]=>[6,2,8,4,7,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,5,3,8,4,6]=>[7,8,2,4,6,1,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,8,5,3,7,4,6]=>[7,8,1,4,6,2,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,1,5,2,7,4,6]=>[6,1,8,4,7,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,5,1,2,7,3,6]=>[5,1,4,8,7,2,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,4,1,2,7,3,6]=>[4,1,5,8,7,2,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,4,1,7,2,3,5]=>[3,1,5,8,2,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,6,7,1,2,3,4]=>[4,1,3,2,8,7,6,5]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,6,1,7,2,3,5]=>[5,1,3,8,2,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,1,6,7,2,4,5]=>[6,1,8,3,2,7,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,8,6,7,3,4,5]=>[7,8,1,3,2,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,7,6,8,3,4,5]=>[7,8,2,3,1,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,1,6,8,2,4,5]=>[6,2,8,3,1,7,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,6,1,8,2,3,5]=>[5,2,3,8,1,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,6,8,1,2,3,4]=>[4,2,3,1,8,7,6,5]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,4,7,1,2,8,3,6]=>[4,5,2,8,7,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,7,1,8,2,3,5]=>[3,5,2,8,1,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,1,8,2,3,5]=>[2,5,3,8,1,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,6,1,7,2,3,5]=>[1,5,3,8,2,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,4,3,8,7,5,6]=>[7,8,5,6,1,2,4,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,1,2,8,7,5,6]=>[6,5,8,7,1,2,4,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,4,7,1,6,2,3,5]=>[1,5,2,8,3,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,8,1,6,2,3,5]=>[2,5,1,8,3,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,8,1,2,7,3,6]=>[4,5,1,8,7,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,8,1,2,7,3,6]=>[5,4,1,8,7,2,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,8,2,7,4,6]=>[6,4,8,1,7,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,8,3,7,4,6]=>[7,8,4,1,6,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,8,7,3,4,5]=>[7,8,3,1,2,6,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,1,8,7,2,4,5]=>[6,3,8,1,2,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,8,1,7,2,3,5]=>[5,3,1,8,2,7,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,8,7,1,2,3,4]=>[4,3,1,2,8,7,6,5]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,5,8,6,1,2,3,4]=>[2,4,1,3,8,7,6,5]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,5,7,6,1,2,3,4]=>[1,4,2,3,8,7,6,5]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,7,8,6,1,2,3,4]=>[4,2,1,3,8,7,6,5]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,7,8,1,6,2,3,5]=>[5,2,1,8,3,7,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,1,8,6,2,4,5]=>[6,2,8,1,3,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,7,8,6,3,4,5]=>[7,8,2,1,3,6,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,8,7,6,3,4,5]=>[7,8,1,2,3,6,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,8,1,7,6,2,4,5]=>[6,1,8,2,3,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,7,1,6,2,3,5]=>[5,1,2,8,3,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,7,6,1,2,3,4]=>[4,1,2,3,8,7,6,5]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,8,7,5,1,2,3,4]=>[3,1,2,4,8,7,6,5]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,4,7,3,8,5,1,2]=>[3,5,2,6,1,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,7,3,5,8,1,2]=>[3,5,2,6,4,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,7,2,5,1,8,3]=>[3,5,2,7,4,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,8,3,5,7,1,2]=>[3,5,1,6,4,2,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,4,2,5,1,6,3]=>[2,1,5,7,4,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,2,5,1,3,6]=>[2,1,5,7,4,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,8,2,1,5,4,7]=>[3,6,1,7,8,4,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,3,2,1,5,4,6]=>[2,1,6,7,8,4,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,3,2,1,5,6,4]=>[2,1,6,7,8,4,3,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,3,8,2,1,5,7,4]=>[3,6,1,7,8,4,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,7,2,1,5,4,8]=>[3,6,2,7,8,4,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,7,2,1,5,8,4]=>[3,6,2,7,8,4,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,7,2,1,8,5,4]=>[3,6,2,7,8,1,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,7,2,8,1,5,3]=>[3,5,2,7,1,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,8,2,1,4,3]=>[3,4,2,1,7,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,8,7,2,1,3,4]=>[3,4,1,2,7,8,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,3,7,2,1,8,4,5]=>[3,6,2,7,8,1,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,7,2,1,4,8,5]=>[3,6,2,7,8,5,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,7,2,1,4,5,8]=>[3,6,2,7,8,5,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,8,4,2,6,1,3,5]=>[2,1,5,7,3,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,3,2,1,6,4,5]=>[2,1,6,7,8,3,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,8,2,1,7,4,5]=>[3,6,1,7,8,2,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,8,2,1,4,7,5]=>[3,6,1,7,8,5,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,3,2,1,4,6,5]=>[2,1,6,7,8,5,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,3,8,2,1,4,5,7]=>[3,6,1,7,8,5,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,8,5,6,1,2,4,3]=>[2,1,4,3,8,7,5,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,4,1,6,2,5,3]=>[2,1,5,8,3,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,4,6,2,5,3]=>[2,1,8,5,3,7,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,4,7,2,5,3]=>[3,8,1,5,2,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,3,2,7,5,4]=>[8,3,1,6,7,2,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,1,8,3,2,7,5,4]=>[3,8,1,6,7,2,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,1,3,2,6,5,4]=>[2,1,8,6,7,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,3,1,2,6,5,4]=>[2,1,6,8,7,3,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,2,4,6,1,5,3]=>[2,1,7,5,3,8,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,2,3,1,6,5,4]=>[2,1,7,6,8,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,2,1,3,6,5,4]=>[2,1,7,8,6,3,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,1,2,3,6,5,4]=>[2,1,8,7,6,3,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,8,2,3,7,5,4]=>[3,8,1,7,6,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,8,2,3,7,5,4]=>[8,3,1,7,6,2,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,2,8,3,7,6,4]=>[8,4,7,1,6,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,2,8,3,7,6,4]=>[4,8,7,1,6,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,8,1,3,7,5,4]=>[3,7,1,8,6,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,8,3,1,7,5,4]=>[3,7,1,6,8,2,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,8,4,7,5,1,2]=>[3,6,1,5,2,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,8,4,7,5,1,2]=>[6,3,1,5,2,4,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,8,4,7,1,5,3]=>[7,3,1,5,2,8,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,8,3,1,7,5,4]=>[7,3,1,6,8,2,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,8,1,3,7,5,4]=>[7,3,1,8,6,2,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,1,8,3,7,6,4]=>[7,4,8,1,6,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,1,3,8,7,6,5]=>[7,5,8,6,1,2,3,4]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,5,3,8,1,7,6,4]=>[7,4,6,1,8,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,4,8,7,1,6,3]=>[7,4,5,1,2,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,4,8,7,6,1,2]=>[6,4,5,1,2,3,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,4,8,7,6,1,2]=>[4,6,5,1,2,3,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,4,8,7,1,6,3]=>[4,7,5,1,2,8,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,2,3,8,7,6,5]=>[5,8,7,6,1,2,3,4]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,4,2,3,8,7,6,5]=>[8,5,7,6,1,2,3,4]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,3,2,8,7,6,5]=>[5,8,6,7,1,2,3,4]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,3,8,1,2,7,5,4]=>[3,6,1,8,7,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,3,8,2,7,6,4]=>[4,8,6,1,7,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,4,8,7,2,6,3]=>[8,4,5,1,2,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,4,8,7,2,6,3]=>[4,8,5,1,2,7,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,8,1,7,2,5,3]=>[3,5,1,8,2,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,7,1,2,4,3]=>[3,4,1,2,8,7,5,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,8,7,3,4,1,2]=>[4,3,1,2,6,5,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,8,7,2,1,4,3]=>[4,3,1,2,7,8,5,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,5,1,8,7,2,6,3]=>[5,4,8,1,2,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,8,7,2,6,3]=>[5,8,4,1,2,7,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,5,8,7,2,6,3]=>[8,5,4,1,2,7,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,5,8,2,7,6,4]=>[8,6,4,1,7,2,3,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,1,5,8,2,7,6,4]=>[6,8,4,1,7,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,8,1,2,7,5,4]=>[6,3,1,8,7,2,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,8,2,1,7,5,4]=>[6,3,1,7,8,2,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,8,2,7,1,5,3]=>[5,3,1,7,2,8,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,8,3,7,5,1,2]=>[5,3,1,6,2,4,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,3,8,7,6,1,2]=>[5,4,6,1,2,3,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,2,8,7,1,6,3]=>[5,4,7,1,2,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,2,8,1,7,6,4]=>[6,4,7,1,8,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,2,8,7,6,5]=>[6,8,5,7,1,2,3,4]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,1,2,4,8,7,6,5]=>[6,8,7,5,1,2,3,4]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,5,8,1,7,6,4]=>[6,7,4,1,8,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,5,8,7,1,6,3]=>[5,7,4,1,2,8,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,5,8,7,6,1,2]=>[5,6,4,1,2,3,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,5,8,7,6,1,2]=>[6,5,4,1,2,3,8,7]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,5,8,7,1,6,3]=>[7,5,4,1,2,8,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,5,8,1,7,6,4]=>[7,6,4,1,8,2,3,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,1,3,2,6,5,8,7]=>[5,8,6,7,3,4,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,3,2,6,4,8,7]=>[4,8,6,7,3,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,3,2,5,4,8,7]=>[3,8,6,7,4,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,3,2,5,4,8,6]=>[2,8,6,7,4,5,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,3,2,5,4,7,6]=>[1,8,6,7,4,5,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,2,5,3,7,6]=>[1,8,5,7,4,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,4,2,5,3,8,6]=>[2,8,5,7,4,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,4,2,5,3,8,7]=>[3,8,5,7,4,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,4,2,6,3,8,7]=>[4,8,5,7,3,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,3,5,4,8,7]=>[7,8,3,6,4,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,2,5,4,8,7]=>[6,8,3,7,4,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,2,5,3,8,7]=>[5,8,3,7,4,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,5,1,4,3,8,7]=>[3,7,4,8,5,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,1,4,3,8,7]=>[4,7,3,8,5,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,7,1,4,3,8,6]=>[4,7,2,8,5,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,8,1,4,3,7,6]=>[4,7,1,8,5,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,1,4,3,7,5]=>[3,7,1,8,5,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,1,4,3,8,5]=>[3,7,2,8,5,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,6,1,4,3,8,5]=>[2,7,3,8,5,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,5,1,4,3,8,6]=>[2,7,4,8,5,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,2,5,3,8,6]=>[5,8,2,7,4,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,7,2,5,4,8,6]=>[6,8,2,7,4,5,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,7,3,5,4,8,6]=>[7,8,2,6,4,5,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,3,5,4,7,6]=>[7,8,1,6,4,5,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,2,5,4,7,6]=>[6,8,1,7,4,5,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,2,5,3,7,6]=>[5,8,1,7,4,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,5,1,4,3,7,6]=>[1,7,4,8,5,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,1,4,3,7,5]=>[1,7,3,8,5,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,4,3,8,2,6,5]=>[2,8,5,6,1,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,3,7,2,6,5]=>[1,8,5,6,2,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,3,7,2,6,4]=>[1,8,4,6,2,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,5,3,8,2,6,4]=>[2,8,4,6,1,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,1,5,3,7,4]=>[1,7,3,8,4,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,2,6,3,7,4]=>[4,8,1,7,3,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,2,6,3,7,5]=>[5,8,1,7,3,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,2,6,4,7,5]=>[6,8,1,7,3,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,3,6,4,7,5]=>[7,8,1,6,3,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,7,3,6,4,8,5]=>[7,8,2,6,3,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,2,6,3,8,5]=>[5,8,2,7,3,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,2,6,3,8,4]=>[4,8,2,7,3,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,6,1,5,3,8,4]=>[2,7,3,8,4,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,1,5,3,8,4]=>[3,7,2,8,4,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,1,5,3,7,4]=>[3,7,1,8,4,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,2,6,3,7,4]=>[1,8,4,7,3,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,5,2,7,3,8,4]=>[3,8,4,7,2,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,4,2,7,3,8,5]=>[3,8,5,7,2,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,2,6,3,7,5]=>[1,8,5,7,3,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,3,2,6,4,7,5]=>[1,8,6,7,3,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,3,2,6,4,8,5]=>[2,8,6,7,3,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,3,2,7,4,8,5]=>[3,8,6,7,2,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,3,2,7,4,8,6]=>[4,8,6,7,2,5,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,3,2,7,5,8,6]=>[5,8,6,7,2,4,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,4,3,8,5,7,6]=>[7,8,5,6,1,4,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,4,2,8,5,7,6]=>[6,8,5,7,1,4,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,3,2,8,5,7,6]=>[5,8,6,7,1,4,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,3,2,8,4,7,6]=>[4,8,6,7,1,5,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,3,2,8,4,7,5]=>[3,8,6,7,1,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,1,3,2,6,5]=>[1,5,2,8,6,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,8,1,3,2,6,5]=>[2,5,1,8,6,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,1,4,2,6,5]=>[2,6,1,8,5,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,1,4,2,6,5]=>[1,6,2,8,5,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,4,2,8,3,7,5]=>[3,8,5,7,1,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,4,2,8,3,7,6]=>[4,8,5,7,1,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,5,2,8,3,7,6]=>[5,8,4,7,1,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,5,2,8,4,7,6]=>[6,8,4,7,1,5,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,5,3,8,4,7,6]=>[7,8,4,6,1,5,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,3,8,4,7,5]=>[7,8,3,6,1,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,2,8,4,7,5]=>[6,8,3,7,1,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,2,8,3,7,5]=>[5,8,3,7,1,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,2,8,3,7,4]=>[4,8,3,7,1,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,5,2,8,3,7,4]=>[3,8,4,7,1,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,1,5,2,6,4]=>[1,6,2,8,4,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,1,5,2,6,4]=>[2,6,1,8,4,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,3,8,1,5,4]=>[3,7,2,6,1,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,3,7,1,5,4]=>[3,7,1,6,2,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,2,6,1,5,4]=>[1,6,2,7,3,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,3,7,2,6,4]=>[4,8,1,6,2,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,3,7,2,6,5]=>[5,8,1,6,2,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,4,7,2,6,5]=>[6,8,1,5,2,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,4,7,3,6,5]=>[7,8,1,5,2,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,7,4,8,3,6,5]=>[7,8,2,5,1,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,7,4,8,2,6,5]=>[6,8,2,5,1,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,3,8,2,6,5]=>[5,8,2,6,1,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,3,8,2,6,4]=>[4,8,2,6,1,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,2,6,1,5,4]=>[2,6,1,7,3,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,3,7,1,5,4]=>[1,7,3,6,2,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,6,3,8,1,5,4]=>[2,7,3,6,1,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,2,6,8,1,5,7]=>[6,5,7,3,1,8,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,6,2,8,1,4,7]=>[4,6,3,7,1,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,6,2,4,8,1,7]=>[4,6,3,7,5,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,3,8,2,4,1,6]=>[4,2,6,1,7,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,8,2,4,6,1]=>[4,2,6,1,7,5,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,2,6,3,8,1,7]=>[5,4,7,3,6,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,1,6,8,3,7]=>[5,4,7,8,3,1,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,8,1,3,4,7]=>[4,3,7,1,8,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,6,1,4,8,2,7]=>[6,4,3,8,5,1,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,6,3,8,2,7]=>[5,8,4,3,6,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,6,3,8,2,7]=>[5,4,8,3,6,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,6,3,2,8,1,7]=>[5,4,3,6,7,1,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,4,5,3,8,2,1,6]=>[2,5,4,6,1,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,5,3,8,2,6,1]=>[2,5,4,6,1,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,4,8,3,2,5,1]=>[3,2,5,1,6,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,4,8,3,2,1,5]=>[3,2,5,1,6,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,4,1,8,3,2,5]=>[3,2,5,8,1,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,5,3,1,8,2,6]=>[2,5,4,6,8,1,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,1,5,8,3,2,6]=>[5,2,8,4,1,6,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,7,8,1,4,2,6]=>[4,6,2,1,8,5,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,8,2,4,6,1,3]=>[2,4,1,7,5,3,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,1,7,8,3,6,2]=>[5,4,8,2,1,6,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,3,8,1,5,2]=>[3,2,5,6,1,8,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,8,3,1,5,2]=>[3,2,5,1,6,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,4,8,3,5,2,1]=>[3,2,5,1,6,4,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,7,3,8,4,2,1]=>[4,3,2,6,1,5,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,7,3,1,8,4,2]=>[4,3,2,6,8,1,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,1,7,3,8,4,2]=>[4,3,8,2,6,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,6,7,3,8,4,2]=>[4,8,3,2,6,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,1,8,3,5,2]=>[3,5,2,8,1,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,8,3,1,4,5,2]=>[3,2,1,6,8,5,4,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,2,8,4,5,1,3]=>[3,2,7,1,5,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,8,4,1,3,5]=>[3,2,7,1,5,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,7,4,8,3,2,5]=>[3,8,2,5,1,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,6,7,3,2,8,4]=>[4,8,3,2,6,7,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,1,7,3,2,8,4]=>[4,3,8,2,6,7,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,7,3,2,1,8,4]=>[4,3,2,6,7,8,1,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,7,3,2,8,4,1]=>[4,3,2,6,7,1,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,2,7,3,8,4,1]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,2,7,3,1,8,4]=>[4,3,7,2,6,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,2,1,7,3,8,4]=>[4,3,7,8,2,6,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,7,4,2,8,3,5]=>[3,8,2,5,7,1,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,2,1,8,3,4,5]=>[3,2,7,8,1,6,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,8,2,1,3,4,6]=>[2,4,1,7,8,6,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,7,3,1,8,2,4,6]=>[4,2,6,8,1,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,5,2,8,3,6]=>[5,2,8,4,7,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,4,2,1,8,3,5]=>[3,2,5,7,8,1,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,2,8,3,1,5]=>[3,2,5,7,1,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,2,8,3,5,1]=>[3,2,5,7,1,6,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,2,8,4,5,1]=>[6,3,2,7,1,5,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,2,8,4,1,5]=>[6,3,2,7,1,5,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,7,2,1,8,4,5]=>[6,3,2,7,8,1,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,3,8,2,1,4,6]=>[4,2,6,1,7,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,7,8,2,1,5,6]=>[6,5,2,1,7,8,4,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,7,8,1,4,6,2,5]=>[6,2,1,8,5,3,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,7,8,2,6,1,5]=>[6,5,2,1,7,3,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,7,3,8,2,6,1,4]=>[4,2,6,1,7,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,7,2,8,5,1,4]=>[6,3,2,7,1,4,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,7,8,5,2,1,4]=>[6,3,2,1,4,7,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,6,7,8,5,2,4,1]=>[6,3,2,1,4,7,5,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,4,7,8,2,5,3,1]=>[3,5,2,1,7,4,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,8,2,1,5,3]=>[3,5,2,1,7,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,7,8,2,6,3]=>[5,8,4,2,1,7,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,7,8,1,6,2,4]=>[4,6,2,1,8,3,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,8,5,1,3,4]=>[3,2,7,1,4,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,2,7,8,4,3]=>[4,8,3,7,2,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,2,1,7,8,4,3]=>[4,3,7,8,2,1,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,2,7,1,8,4,3]=>[4,3,7,2,8,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,2,7,8,4,3,1]=>[4,3,7,2,1,5,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,6,7,2,8,4,3,1]=>[4,3,2,7,1,5,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,7,2,1,8,4,3]=>[4,3,2,7,8,1,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,1,7,2,8,4,3]=>[4,3,8,2,7,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,6,7,2,8,4,3]=>[4,8,3,2,7,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,6,7,1,8,5,2,4]=>[6,3,2,8,1,4,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,8,5,2,4,1,3]=>[3,2,1,4,7,5,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,8,3,5,1,4,2]=>[3,2,1,6,4,8,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,8,1,5,3,2]=>[5,3,2,1,8,4,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,1,6,7,8,4,3,2]=>[4,8,3,2,1,5,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,6,1,7,8,4,3,2]=>[4,3,8,2,1,5,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,6,7,1,8,4,3,2]=>[4,3,2,8,1,5,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,2,4,5,8,3,6,1]=>[2,7,5,4,1,6,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,3,7,1,8,6]=>[7,5,4,6,2,8,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,4,5,6,3,1,7]=>[1,7,5,4,3,6,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,4,5,6,1,3,7]=>[1,7,5,4,3,8,6,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,2,4,5,6,3,7]=>[1,8,7,5,4,3,6,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,2,5,1,3,6,4,7]=>[1,7,4,8,6,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,5,6,2,1,4,3,7]=>[1,4,3,7,8,5,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,4,5,6,3,2,7]=>[1,8,5,4,3,6,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,3,7,2,1,8,6]=>[5,4,6,2,7,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,8,3,2,6,1]=>[2,5,4,1,6,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,7,2,8,5,1]=>[5,6,3,2,7,1,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,7,2,8,1,5]=>[5,6,3,2,7,1,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,3,6,7,2,8,5]=>[8,5,6,3,2,7,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,7,1,8,2,6]=>[5,4,6,2,8,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,5,3,7,2,8,6]=>[5,8,4,6,2,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,4,7,1,2,8,6]=>[4,6,5,2,8,7,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,8,2,1,4,6,3]=>[2,4,1,7,8,5,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,4,5,8,3,6,1,2]=>[2,5,4,1,6,3,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,7,8,1,5,2]=>[5,6,3,2,1,8,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,7,8,3,5,2]=>[8,3,5,2,1,6,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,4,7,8,3,5,2,1]=>[3,5,2,1,6,4,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,6,7,8,4,1,2]=>[6,4,3,2,1,5,8,7]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,1,5,6,7,8,4,2]=>[6,8,4,3,2,1,5,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,7,8,3,5,2]=>[5,3,8,2,1,6,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,1,4,8,5,2]=>[6,3,2,8,5,1,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,4,1,7,8,5,3]=>[3,7,5,8,2,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,6,7,1,4,8,3,5]=>[7,3,2,8,5,1,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,6,7,8,1,2,5]=>[5,6,3,2,1,8,7,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,6,7,8,2,4]=>[8,4,6,3,2,1,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,6,7,8,2,1,4]=>[6,4,3,2,1,7,8,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,5,6,7,8,2,4,1]=>[6,4,3,2,1,7,5,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [5,2,7,1,3,8,4,6]=>[4,7,2,8,6,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,2,7,8,1,3,6]=>[5,4,7,2,1,8,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,6,7,8,3,1,5]=>[5,7,3,2,1,6,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,7,8,3,5,1]=>[5,7,3,2,1,6,4,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,7,4,8,5,1]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,2,7,4,8,1,5]=>[6,3,7,2,5,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,2,1,5,8,6]=>[6,2,5,7,8,4,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,2,1,3,5,8,6]=>[5,2,7,8,6,4,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,4,2,1,3,6,5]=>[2,1,5,7,8,6,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,1,3,4,2,6,5]=>[2,1,8,6,5,7,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,3,4,2,1,6,5]=>[2,1,6,5,7,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,2,7,1,8,5,4]=>[6,3,7,2,8,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,3,8,2,5,4,1]=>[3,2,6,1,7,4,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,8,5,2,3,1]=>[3,5,2,1,4,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,4,7,8,1,5,3]=>[7,3,5,2,1,8,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,7,8,1,5,3]=>[5,3,7,2,1,8,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,5,8,6,2,1,3]=>[2,5,4,1,3,7,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,8,2,1,6,3,4]=>[2,4,1,7,8,3,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,7,1,3,8,5,4]=>[3,7,2,8,6,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,6,1,7,8,5,2,3]=>[5,3,8,2,1,4,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,6,7,8,4,3]=>[4,8,7,3,2,1,5,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,6,7,8,4,1,3]=>[4,7,3,2,1,5,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,6,7,8,4,3,1]=>[4,7,3,2,1,5,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,5,6,7,8,4,1,3]=>[7,4,3,2,1,5,8,6]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,5,2,6,7,8,4,3]=>[8,4,7,3,2,1,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,7,1,3,8,5,4]=>[7,3,2,8,6,1,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,8,2,1,5,4,3]=>[3,2,1,7,8,4,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,3,8,5,1,4,2]=>[3,2,6,1,4,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,8,5,3,1,2]=>[3,5,2,1,4,6,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,2,3,7,6,1,8]=>[5,4,7,6,2,3,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,6,3,4,8,7,2]=>[8,4,3,6,5,1,2,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,2,7,3,5,1,8]=>[5,3,7,2,6,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,7,4,5,1,8]=>[6,7,3,2,5,4,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,2,6,5,3,1,8]=>[5,2,7,3,4,6,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,6,2,4,3,1,8]=>[4,2,3,7,5,6,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,5,4,8,3,6,2]=>[8,2,4,5,1,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,5,4,2,1,3,7]=>[3,1,4,5,7,8,6,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,8,6,2,4,1,3,7]=>[4,1,3,7,5,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,2,6,5,1,3,7]=>[5,1,7,3,4,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,8,6,5,1,4,7]=>[6,7,1,3,4,8,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,1,2,6,5,8,7,3]=>[5,8,7,3,4,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,6,2,4,8,7,3]=>[4,8,3,7,5,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,5,4,2,8,7,3]=>[3,8,4,5,7,1,2,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,5,4,8,2,6,3]=>[2,8,4,5,1,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,4,7,6,2,3]=>[1,8,4,5,2,3,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,8,6,7,4,5,3,2]=>[8,1,3,2,5,4,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,6,7,4,5,2,3]=>[1,8,3,2,5,4,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,8,4,2,5,3]=>[2,8,3,1,5,7,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,8,2,4,5,3]=>[3,8,2,1,7,5,4,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,7,2,8,4,6,3]=>[4,8,2,7,1,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,2,7,8,5,6,3]=>[5,8,7,2,1,4,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,8,7,1,5,4,6]=>[6,7,1,2,8,4,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,2,7,1,5,3,6]=>[5,1,7,2,8,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,7,2,1,4,3,6]=>[4,1,2,7,8,5,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,8,7,1,2,4,3,5]=>[3,1,2,8,7,5,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,6,1,4,2,3,5]=>[2,1,3,8,5,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,6,8,4,3,5,2]=>[8,2,3,1,5,6,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,7,8,3,4,5,2]=>[8,3,2,1,6,5,4,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [8,6,7,1,3,4,2,5]=>[1,3,2,8,6,5,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,6,8,1,3,2,4,5]=>[2,3,1,8,6,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,8,2,1,3,4,6]=>[4,2,1,7,8,6,5,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,7,2,8,1,3,5,6]=>[5,2,7,1,8,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,6,8,4,1,5,7]=>[6,7,3,1,5,8,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,2,8,3,1,5,7]=>[5,3,7,1,6,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,8,2,3,1,4,7]=>[4,3,1,7,6,8,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,8,3,2,1,4,7]=>[3,4,1,6,7,8,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,5,8,3,1,2,4,6]=>[2,4,1,6,8,7,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,5,7,3,1,4,2,6]=>[1,4,2,6,8,5,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,7,3,8,4,6,2]=>[8,4,2,6,1,5,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,3,8,1,6,7]=>[5,4,7,6,1,8,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,4,8,1,6,7]=>[6,7,4,5,1,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,5,2,3,1,8,7,6]=>[5,4,7,6,8,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,1,2,3,8,7,4]=>[4,3,8,7,6,1,2,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,2,1,3,8,7,5]=>[5,3,7,8,6,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,6,1,4,8,7,5]=>[6,7,3,8,5,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,7,1,8,4,6,5]=>[6,7,2,8,1,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,2,1,8,3,6,5]=>[5,2,7,8,1,6,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,2,8,3,6,4]=>[4,2,8,7,1,6,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,8,2,3,5,4]=>[3,2,8,1,7,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,8,7,3,5,4,2]=>[8,3,1,2,6,4,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,8,6,5,3,4,2]=>[8,2,1,3,4,6,5,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,8,1,6,5,2,3,4]=>[2,1,8,3,4,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,1,7,2,5,3,4]=>[3,1,8,2,7,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,2,7,6,3,4]=>[4,1,8,7,2,3,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,2,1,7,6,3,5]=>[5,1,7,8,2,3,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,8,1,7,6,4,5]=>[6,7,1,8,2,3,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,2,8,7,6,5,3]=>[5,8,7,1,2,3,4,6]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,1,8,2,7,6,4,3]=>[4,8,1,7,2,3,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,1,8,7,2,5,4,3]=>[3,8,1,2,7,4,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,8,6,5,2,4,3]=>[2,8,1,3,4,7,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,7,6,5,4,2,3]=>[1,8,2,3,4,5,7,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,1,2,6,5,8,7,4]=>[6,8,7,3,4,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,2,4,8,7,5]=>[6,8,3,7,5,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,5,2,4,8,7,6]=>[6,8,4,7,5,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,1,2,3,8,7,6]=>[5,4,8,7,6,1,2,3]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,2,3,8,7,5]=>[5,3,8,7,6,1,2,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,5,3,4,8,7,2]=>[8,3,4,6,5,1,2,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,5,2,4,8,7,3]=>[3,8,4,7,5,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,5,2,8,4,6,3]=>[2,8,4,7,1,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,5,3,8,4,6,2]=>[8,2,4,6,1,5,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,3,7,4,6,2]=>[8,1,4,6,2,5,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,5,2,7,4,6,3]=>[1,8,4,7,2,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,7,2,4,5,3]=>[1,8,3,2,7,5,4,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,6,7,3,4,5,2]=>[8,1,3,2,6,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,6,8,3,4,5,2]=>[8,2,3,1,6,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,6,8,2,4,5,3]=>[2,8,3,1,7,5,4,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,1,2,8,3,6,5]=>[5,2,8,7,1,6,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,2,8,4,6,5]=>[6,8,2,7,1,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,2,7,8,5,6,4]=>[6,8,7,2,1,4,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,8,7,5,6,2]=>[8,5,6,1,2,4,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,2,8,7,5,6,3]=>[5,8,7,1,2,4,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,2,8,7,5,6,4]=>[6,8,7,1,2,4,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,2,7,4,6,5]=>[6,8,1,7,2,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,7,2,4,5,6]=>[6,8,1,2,7,5,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,1,7,6,2,4,5,8]=>[6,8,2,3,7,5,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,7,1,6,2,3,5,8]=>[5,2,8,3,7,6,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,1,6,2,3,5,7]=>[5,1,8,3,7,6,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,1,7,2,3,5,6]=>[5,1,8,2,7,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,1,2,7,3,6,5]=>[5,1,8,7,2,6,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,2,7,3,6,4]=>[4,1,8,7,2,6,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,2,7,4,6,3]=>[4,8,1,7,2,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,8,3,7,4,6,2]=>[8,4,1,6,2,5,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,7,3,4,5,2]=>[8,3,1,2,6,5,4,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,1,8,7,2,4,5,3]=>[3,8,1,2,7,5,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,1,7,2,3,5,4]=>[3,1,8,2,7,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,7,1,2,3,4,5]=>[3,1,2,8,7,6,5,4]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,8,7,1,2,3,4,6]=>[4,1,2,8,7,6,5,3]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,8,6,1,2,3,4,7]=>[4,1,3,8,7,6,5,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,7,6,1,2,3,4,8]=>[4,2,3,8,7,6,5,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,8,1,6,2,3,5,4]=>[2,1,8,3,7,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,6,2,4,5,3]=>[2,8,1,3,7,5,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,8,6,3,4,5,2]=>[8,2,1,3,6,5,4,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,8,7,6,3,4,5,2]=>[8,1,2,3,6,5,4,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,1,7,6,2,4,5,3]=>[1,8,2,3,7,5,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,5,1,6,4,8,7]=>[6,7,4,8,3,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,5,4,7,1,8,6]=>[6,7,4,5,2,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,5,3,7,6,8,1]=>[5,7,4,6,2,3,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,5,3,7,1,8,6]=>[5,7,4,6,2,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,5,3,6,1,8,7]=>[5,7,4,6,3,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,5,1,6,3,8,7]=>[5,7,4,8,3,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,5,4,6,2,8,7]=>[6,8,4,5,3,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,5,3,6,2,8,7]=>[5,8,4,6,3,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,5,1,6,2,8,7]=>[5,6,4,8,3,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,5,2,7,1,8,6]=>[5,6,4,7,2,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,2,7,5,8,1]=>[5,6,3,7,2,4,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,2,7,1,8,5]=>[5,6,3,7,2,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,1,7,2,8,5]=>[5,6,3,8,2,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,5,1,7,2,8,6]=>[5,6,4,8,2,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,5,4,7,2,8,6]=>[6,8,4,5,2,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,5,4,7,3,8,6]=>[7,8,4,5,2,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,5,4,7,6,8,2]=>[6,8,4,5,2,3,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,5,3,7,6,8,2]=>[5,8,4,6,2,3,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,5,1,7,6,8,2]=>[5,6,4,8,2,3,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,1,7,5,8,2]=>[5,6,3,8,2,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,5,7,1,8,2]=>[5,6,3,4,2,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,4,7,2,8,1]=>[4,6,3,5,2,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,4,7,1,8,2]=>[4,6,3,5,2,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,1,7,4,8,2]=>[4,6,3,8,2,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,3,7,4,8,2]=>[4,8,3,6,2,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,3,7,5,8,2]=>[5,8,3,6,2,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,4,7,5,8,2]=>[6,8,3,5,2,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,4,7,5,8,3]=>[7,8,3,5,2,4,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,4,7,3,8,5]=>[7,8,3,5,2,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,4,7,2,8,5]=>[6,8,3,5,2,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,3,7,2,8,5]=>[5,8,3,6,2,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,3,7,2,8,4]=>[4,8,3,6,2,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,1,7,2,8,4]=>[4,6,3,8,2,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,2,7,1,8,4]=>[4,6,3,7,2,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,2,7,4,8,1]=>[4,6,3,7,2,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,3,7,4,8,1]=>[4,7,3,6,2,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,3,7,1,8,4]=>[4,7,3,6,2,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,1,7,3,8,4]=>[4,7,3,8,2,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,5,1,7,3,8,6]=>[5,7,4,8,2,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,1,7,3,8,5]=>[5,7,3,8,2,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,3,7,1,8,5]=>[5,7,3,6,2,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,3,7,5,8,1]=>[5,7,3,6,2,4,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,4,7,5,8,1]=>[6,7,3,5,2,4,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,4,7,1,8,5]=>[6,7,3,5,2,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,1,7,4,8,5]=>[6,7,3,8,2,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,5,1,7,4,8,6]=>[6,7,4,8,2,5,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,4,1,7,5,8,6]=>[6,7,5,8,2,4,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,4,2,7,6,8,5]=>[6,8,5,7,2,3,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,5,1,7,6,8,4]=>[6,7,4,8,2,3,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,1,7,5,8,4]=>[6,7,3,8,2,4,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,5,7,1,8,4]=>[6,7,3,4,2,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,5,7,3,8,1]=>[5,7,3,4,2,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,5,7,1,8,3]=>[5,7,3,4,2,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,1,7,5,8,3]=>[5,7,3,8,2,4,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,5,1,7,6,8,3]=>[5,7,4,8,2,3,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,5,2,7,6,8,3]=>[5,8,4,7,2,3,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,5,2,7,6,8,4]=>[6,8,4,7,2,3,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,5,3,7,6,8,4]=>[7,8,4,6,2,3,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,3,7,5,8,4]=>[7,8,3,6,2,4,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,2,7,5,8,4]=>[6,8,3,7,2,4,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,2,7,5,8,3]=>[5,8,3,7,2,4,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,2,7,4,8,3]=>[4,8,3,7,2,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,1,7,4,8,3]=>[4,7,3,8,2,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,4,7,1,8,3]=>[4,7,3,5,2,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,4,7,3,8,1]=>[4,7,3,5,2,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,2,7,3,8,1]=>[4,5,3,7,2,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,2,7,1,8,3]=>[4,5,3,7,2,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,1,7,2,8,3]=>[4,5,3,8,2,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,4,7,2,8,3]=>[4,8,3,5,2,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,5,7,2,8,3]=>[5,8,3,4,2,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,5,7,2,8,4]=>[6,8,3,4,2,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,5,7,3,8,4]=>[7,8,3,4,2,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,5,7,4,8,2]=>[6,8,3,4,2,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,5,7,3,8,2]=>[5,8,3,4,2,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,4,7,3,8,2]=>[4,8,3,5,2,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,1,7,3,8,2]=>[4,5,3,8,2,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,3,7,1,8,2]=>[4,5,3,6,2,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,2,1,6,4,7]=>[1,6,4,7,8,3,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,5,2,4,1,8,6]=>[6,2,4,7,5,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,7,5,2,4,6,1]=>[1,6,2,4,7,5,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,4,5,7,3,6,1]=>[1,7,5,4,2,6,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,7,3,1,8,6]=>[7,5,4,2,6,8,1,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [8,2,4,6,5,3,1,7]=>[1,7,5,3,4,6,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,5,4,6,1,3,7]=>[1,7,4,5,3,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,5,6,4,3,2,7]=>[1,8,4,3,5,6,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,4,3,2,1,8,6]=>[4,2,5,6,7,8,1,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,5,7,4,3,2,6,1]=>[1,4,2,5,6,7,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,6,8,3,2,7,5,1]=>[5,3,1,6,7,2,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,6,3,2,8,1,5]=>[5,2,3,6,7,1,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,4,6,7,3,2,8,5]=>[8,5,3,2,6,7,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,4,7,3,1,8,2,6]=>[4,5,2,6,8,1,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,5,1,4,2,8,6]=>[6,2,4,8,5,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,2,1,3,8,6]=>[4,2,5,7,8,6,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,5,7,4,2,1,6,3]=>[1,4,2,5,7,8,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,7,5,1,4,6,2]=>[1,6,2,4,8,5,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,6,3,8,7,1,5,2]=>[5,3,6,1,2,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,4,8,6,3,5,2]=>[8,2,5,1,3,6,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,7,6,3,5,2,1]=>[1,5,2,3,6,4,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,5,8,7,4,1,2]=>[6,3,4,1,2,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,5,8,6,7,4,2]=>[6,8,4,1,3,2,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,1,6,7,3,5,2]=>[5,1,8,3,2,6,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,1,8,7,5,2]=>[6,3,5,8,1,2,4,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [8,2,6,1,4,7,5,3]=>[1,7,3,8,5,2,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,7,6,8,1,4,3,5]=>[7,2,3,1,8,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,6,4,8,2,5]=>[6,2,8,3,5,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,5,6,8,2,4]=>[8,2,6,4,3,1,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,6,7,5,8,2,4]=>[8,6,3,2,4,1,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,7,6,5,8,2,1,4]=>[6,2,3,4,1,7,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,8,5,7,2,4,1]=>[6,3,1,4,2,7,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,7,6,8,1,4]=>[7,6,4,2,3,1,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,1,6,5,7,8,3,4]=>[7,8,3,4,2,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,7,6,8,3,1,5]=>[5,7,2,3,1,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,6,8,7,3,5,1]=>[5,7,3,1,2,6,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,2,4,6,7,5,1]=>[6,1,7,5,3,2,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,2,6,4,8,1,5]=>[6,2,7,3,5,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,1,4,7,8,5]=>[6,7,3,8,5,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,3,7,2,1,8,4,6]=>[4,6,2,7,8,1,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,3,2,1,5,8,6]=>[5,2,6,7,8,4,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,5,7,3,2,1,6,4]=>[1,4,2,6,7,8,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,6,7,2,1,5,4]=>[1,6,3,2,7,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,8,6,2,1,5,4]=>[6,2,1,3,7,8,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,4,8,1,6,5,3]=>[7,2,5,1,8,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,8,2,1,7,5,3]=>[5,3,1,7,8,2,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,5,7,2,1,3,6,4]=>[1,4,2,7,8,6,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,6,7,1,3,5,4]=>[1,7,3,2,8,6,4,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,6,1,7,5,2,4]=>[1,6,3,8,2,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,1,8,7,2,5,3]=>[5,3,8,1,2,7,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,2,5,6,7,4,3]=>[1,8,7,4,3,2,5,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,2,6,5,7,4,1,3]=>[1,7,3,4,2,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,7,8,5,6,4,3]=>[7,8,2,1,4,3,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,5,7,6,4,3,1]=>[1,7,4,2,3,5,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,7,6,8,5,4,1,3]=>[7,2,3,1,4,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,2,5,8,6,4,3]=>[8,2,7,4,1,3,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,7,4,8,2,6,5,3]=>[8,2,5,1,7,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,8,1,6,5,2,4]=>[6,2,1,8,3,4,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,8,6,1,3,5,4]=>[7,2,1,3,8,6,4,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,4,7,6,5,1,3,2]=>[1,5,2,3,4,8,6,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,6,7,5,4,3,2]=>[1,8,3,2,4,5,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,6,3,5,1,2,8,7]=>[5,3,6,4,8,7,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,1,4,5,7,3,2]=>[3,1,8,5,4,2,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,6,2,4,5,1,8,7]=>[6,3,7,5,4,8,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,4,5,3,8,7]=>[7,3,8,5,4,6,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,4,5,3,8,7]=>[3,8,7,5,4,6,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,2,1,4,8,7]=>[4,3,6,7,8,5,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,1,6,4,5,2,8,7]=>[6,8,3,5,4,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,4,5,1,2,6]=>[1,6,2,5,4,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,7,4,2,6,3,1]=>[4,1,2,5,7,3,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,7,4,1,6,3,5]=>[7,1,2,5,8,3,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,1,7,4,2,6,3,5]=>[1,8,2,5,7,3,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,8,7,5,3,4,6]=>[7,8,1,2,4,6,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,1,6,8,5,7,3,4]=>[7,8,3,1,4,2,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,8,1,7,2,4]=>[4,3,6,1,8,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,6,4,5,8,2,1]=>[6,2,3,5,4,1,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,5,7,4,1,6,3,2]=>[1,4,2,5,8,3,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,1,8,4,7,6,2,3]=>[4,8,1,5,2,3,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,8,4,7,6,1,3]=>[7,4,1,5,2,3,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,3,5,6,7,1]=>[7,5,1,6,4,3,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,8,3,5,6,7,2]=>[5,8,1,6,4,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,8,4,2,5,6,7,1]=>[6,1,5,7,4,3,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,5,8,4,3,6,1,2]=>[2,4,1,5,6,3,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,5,8,4,6,7,3]=>[7,8,4,1,5,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,4,8,3,6,7,5]=>[7,8,5,1,6,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,8,4,2,6,1,5]=>[2,6,1,5,7,3,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,8,2,5,6,7,4]=>[6,8,1,7,4,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,3,8,1,5,6,7,4]=>[7,6,1,8,4,3,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,3,8,2,5,6,7,1]=>[5,6,1,7,4,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,8,2,3,5,6,7,1]=>[5,1,7,6,4,3,2,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,8,2,1,5,6,7,4]=>[6,1,7,8,4,3,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,1,3,5,6,7,4]=>[7,1,8,6,4,3,2,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [8,1,2,3,5,6,7,4]=>[1,8,7,6,4,3,2,5]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,8,2,4,3,6,1,5]=>[2,1,7,5,6,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,2,4,1,7,5]=>[3,1,6,7,5,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,8,3,4,6,7,5]=>[7,8,1,6,5,3,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,7,8,5,4,3,6]=>[7,8,2,1,4,5,6,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,3,8,1,4,2,6]=>[4,2,6,1,8,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,8,4,5,3,2,6]=>[2,8,1,5,4,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,8,4,5,3,1,6]=>[7,2,1,5,4,6,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,7,4,2,6,1,5]=>[6,1,2,5,7,3,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,8,4,3,6,2,1]=>[4,2,1,5,6,3,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,3,8,4,2,7,1]=>[4,3,6,1,5,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,3,6,2,1,7,5]=>[5,1,6,3,7,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,1,8,5,7,6]=>[7,5,6,8,1,4,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,2,6,8,7,5]=>[5,8,6,7,3,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,8,3,2,6,1,7,4]=>[4,1,6,7,3,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,8,6,2,7,1]=>[5,4,6,1,3,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,8,4,7,6,2,1]=>[6,4,1,5,2,3,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,8,2,4,7,6,1,3]=>[4,1,7,5,2,3,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,6,4,5,8,1,3]=>[7,2,3,5,4,1,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,6,4,5,8,2,3]=>[2,8,3,5,4,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,3,6,1,8,2,4]=>[4,2,6,3,8,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,6,5,8,3,4]=>[7,8,2,3,4,1,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,8,5,3,6,7,4]=>[7,8,1,4,6,3,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,3,5,2,1,7,4]=>[3,1,6,4,7,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,5,4,2,6,1,3]=>[2,1,4,5,7,3,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,1,4,2,5,6,7,3]=>[1,8,5,7,4,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,8,4,1,5,6,7,3]=>[7,1,5,8,4,3,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,1,2,5,6,7,3]=>[5,1,8,7,4,3,2,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,4,8,1,5,6,7,2]=>[6,5,1,8,4,3,2,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,2,8,5,6,7,1]=>[6,5,7,1,4,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,1,8,5,6,7,3]=>[7,5,8,1,4,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,2,8,5,6,7,3]=>[5,8,7,1,4,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,5,3,8,6,7,4]=>[7,8,4,6,1,3,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,5,4,8,6,1,2]=>[2,6,4,5,1,3,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,4,1,5,6,7,2]=>[1,6,5,8,4,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,1,4,8,5,6,7,2]=>[6,8,5,1,4,3,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,4,5,8,2,1]=>[3,6,2,5,4,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,2,4,5,8,3,1]=>[3,2,7,5,4,1,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,7,4,8,6,3,2]=>[4,8,2,5,1,3,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,5,7,4,8,6,3,1]=>[7,4,2,5,1,3,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,3,7,1,8,4,2]=>[4,3,6,2,8,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,4,8,6,2,1]=>[6,2,4,5,1,3,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,1,4,8,6,2,3]=>[4,2,8,5,1,3,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,1,8,2,7,4]=>[4,3,6,8,1,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,5,8,2,7,1]=>[5,3,6,4,1,7,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,8,1,2,7,5]=>[5,3,6,1,8,7,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,8,4,1,6,2,5]=>[6,2,1,5,8,3,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,5,1,6,8,4,7]=>[6,7,4,8,3,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,2,5,4,8,1,7]=>[6,3,7,4,5,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,4,7,1,8,6]=>[6,4,7,5,2,8,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,2,4,7,6,1]=>[6,4,1,7,5,2,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,5,8,3,7,6,1]=>[5,7,4,1,6,2,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,6,5,3,8,1,7]=>[5,7,3,4,6,1,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,5,1,4,8,2,7]=>[3,6,4,8,5,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,1,5,3,8,2,7]=>[5,3,8,4,6,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,4,3,8,2,7]=>[4,8,3,5,6,1,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,6,2,8,7,5,1]=>[5,6,3,7,1,2,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,3,7,6,2,1,8,5]=>[5,6,2,3,7,8,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,4,7,5,8,3,2,6]=>[8,5,2,4,1,6,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,5,8,4,1,3,6]=>[2,7,4,1,5,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,5,7,4,6,1,3]=>[7,1,4,2,5,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,8,7,1,4,6,2]=>[6,4,1,2,8,5,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,5,8,7,3,6,2]=>[8,5,4,1,2,6,3,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,4,8,7,3,6,2]=>[8,4,5,1,2,6,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,7,1,8,6,5,2]=>[5,6,2,8,1,3,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,8,3,7,6,5,2,1]=>[5,1,6,2,3,4,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,3,8,7,6,4,2,1]=>[4,6,1,2,3,5,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [1,8,6,5,3,7,4,2]=>[8,1,3,4,6,2,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,5,8,6,3,7,4,2]=>[8,4,1,3,6,2,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,1,8,7,3,5,2]=>[5,3,8,1,2,6,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,7,3,1,4,5,2]=>[3,1,2,6,8,5,4,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,2,8,7,4,5,1,3]=>[3,7,1,2,5,4,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,6,3,2,8,4]=>[4,2,8,3,6,7,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,5,3,2,8,4]=>[3,8,2,4,6,7,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,2,6,3,8,7,4,1]=>[4,7,3,6,1,2,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,2,7,6,3,1,8,4]=>[4,7,2,3,6,8,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,2,6,3,1,8,5]=>[5,2,7,3,6,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,8,6,3,7,5,1]=>[7,5,1,3,6,2,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,8,6,2,4,7,5,1]=>[6,1,3,7,5,2,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,6,2,4,1,8,5]=>[2,6,3,7,5,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,6,7,2,1,4,8,5]=>[6,3,2,7,8,5,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,3,7,8,2,1,5,6]=>[5,6,2,1,7,8,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,7,1,4,6,2,5]=>[1,6,2,8,5,3,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,2,5,7,1,6,4]=>[6,1,7,4,2,8,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,3,6,2,1,5,4]=>[2,1,6,3,7,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,8,2,1,6,5,3]=>[5,2,1,7,8,3,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,2,6,8,1,7,5,3]=>[5,7,3,1,8,2,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,8,2,7,1,6,3]=>[4,5,1,7,2,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,1,5,7,2,6,3]=>[5,1,8,4,2,7,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,3,7,1,6,2,4]=>[4,1,6,2,8,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,7,2,6,1,3,4]=>[4,1,2,7,3,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,8,1,7,5,2,4]=>[6,3,1,8,2,4,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,8,2,7,4,3]=>[4,8,3,1,7,2,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,7,1,8,6,4,3]=>[4,7,2,8,1,3,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,8,2,7,6,4,3,1]=>[4,1,7,2,3,5,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,2,8,7,5,4,3,1]=>[3,7,1,2,4,5,6,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,7,1,8,6,2,5,3]=>[5,2,8,1,3,7,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,3,1,6,5,2,4]=>[2,1,6,8,3,4,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,5,7,1,6,4,3,2]=>[1,4,2,8,3,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,8,1,7,5,4,3,2]=>[3,1,8,2,4,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,1,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [3,2,7,6,4,5,1,8]=>[6,7,2,3,5,4,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,2,6,3,5,1,8]=>[5,2,7,3,6,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,6,2,3,4,1,8]=>[4,2,3,7,6,5,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,5,2,3,8,4,7]=>[8,3,4,7,6,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,5,2,3,1,4,7]=>[3,1,4,7,6,8,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,6,2,3,1,4,7]=>[4,1,3,7,6,8,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,2,6,3,1,5,7]=>[5,1,7,3,6,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,8,6,4,1,5,7]=>[6,7,1,3,5,8,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,1,5,2,8,3,4,6]=>[2,8,4,7,1,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,8,5,2,7,3,4,6]=>[8,1,4,7,2,6,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,6,7,2,3,4,5]=>[8,1,3,2,7,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,1,6,7,2,3,4,5]=>[1,8,3,2,7,6,5,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,6,8,2,3,4,5]=>[2,8,3,1,7,6,5,4]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,8,7,1,4,5,6]=>[6,7,1,2,8,5,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,8,7,2,1,3,4,6]=>[4,1,2,7,8,6,5,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,7,6,8,2,3,4,5]=>[8,2,3,1,7,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,5,8,2,3,1,4,7]=>[3,4,1,7,6,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,5,7,2,1,3,4,6]=>[1,4,2,7,8,6,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,2,5,4,1,8,6,7]=>[6,7,4,5,8,1,3,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,2,3,1,8,6,7]=>[5,4,7,6,8,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,8,7,3,5,6]=>[8,5,7,1,2,6,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,8,2,7,3,4,6]=>[8,4,1,7,2,6,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,1,3,8,5,7]=>[5,3,7,8,6,1,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,6,1,4,8,5,7]=>[6,7,3,8,5,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,7,1,8,4,5,6]=>[6,7,2,8,1,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,2,1,8,3,5,6]=>[5,2,7,8,1,6,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,8,7,2,3,4,5]=>[8,3,1,2,7,6,5,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,8,6,2,3,4,5]=>[8,2,1,3,7,6,5,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,8,1,6,2,3,4,5]=>[2,1,8,3,7,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,1,7,2,3,4,5]=>[3,1,8,2,7,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,2,1,7,3,5,6]=>[5,1,7,8,2,6,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,8,1,7,4,5,6]=>[6,7,1,8,2,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,8,2,7,3,4,6]=>[4,8,1,7,2,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,8,7,2,3,4,5]=>[3,8,1,2,7,6,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,1,7,6,2,3,4,5]=>[1,8,2,3,7,6,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,3,5,1,2,4,8,7]=>[3,6,4,8,7,5,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,3,5,6,1,2,8,7]=>[5,6,4,3,8,7,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,7,5,2,1,4,6]=>[1,6,2,4,7,8,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,3,7,5,1,8,4,2]=>[3,6,2,4,8,1,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,6,1,5,4,3,8,7]=>[7,3,8,4,5,6,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,4,6,5,2,8,7]=>[6,8,5,3,4,7,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,4,6,2,8,3,1]=>[4,2,5,3,7,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,4,7,2,6,3,5]=>[1,8,5,2,7,3,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,7,8,5,2,1,6]=>[6,5,2,1,4,7,8,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,1,8,5,7,3,4,6]=>[7,8,1,4,2,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,2,4,6,7,3,1]=>[4,1,7,5,3,2,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,4,8,6,5,7,1,2]=>[6,5,1,3,4,2,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,1,4,6,8,2,7,3]=>[4,8,5,3,1,7,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,6,7,1,8,3]=>[7,4,5,3,2,8,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,3,7,5,8,1]=>[7,5,3,6,2,4,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,3,8,5,7,2]=>[5,8,3,6,1,4,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,4,2,8,6,5,1]=>[6,2,5,7,1,3,4,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,5,8,4,1,7,3,2]=>[3,4,1,5,8,2,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,4,8,3,7,6,5]=>[7,8,5,1,6,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,7,4,1,8,2,5]=>[3,6,2,5,8,1,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,8,2,7,6,5,4]=>[6,8,1,7,2,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,3,8,1,6,7,5,4]=>[7,6,1,8,3,2,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,7,2,6,8,5,1]=>[5,6,2,7,3,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,2,3,8,5,6,1]=>[5,2,7,6,1,4,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,1,7,5,6,4]=>[6,1,7,8,2,4,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,1,3,6,5,7,4]=>[7,1,8,6,3,4,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,8,5,4,3,1,6]=>[7,2,1,4,5,6,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,8,6,7,2,4,1,5]=>[6,1,3,2,7,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,8,7,4,2,6,1]=>[4,6,1,2,5,7,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,6,1,4,2,7,5]=>[1,6,3,8,5,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,5,8,2,4,1,6]=>[2,6,4,1,7,5,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,4,1,8,5,7,6]=>[7,6,5,8,1,4,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,2,6,7,8,5]=>[5,8,6,7,3,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,3,5,6,2,7,1,4]=>[1,6,4,3,7,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,1,8,7,2,4]=>[4,6,3,8,1,2,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,2,8,7,4,1,3]=>[4,3,7,1,2,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,5,6,1,4,2,3]=>[2,1,4,3,8,5,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,5,4,7,1,3]=>[7,1,3,4,5,2,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,1,6,4,5,7,2,3]=>[1,8,3,5,4,2,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,3,6,1,7,2,4]=>[4,1,6,3,8,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,8,6,5,7,3,4]=>[7,8,1,3,4,2,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,7,5,3,6,8,4]=>[7,8,2,4,6,3,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,3,5,2,1,8,4]=>[3,2,6,4,7,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,4,2,5,6,8,3]=>[2,8,5,7,4,3,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,4,1,6,5,8,3]=>[7,2,5,8,3,4,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,2,8,7,3,5]=>[5,3,8,7,1,2,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,5,8,7,6,3]=>[7,5,8,4,1,2,3,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,2,5,8,6,7,3]=>[5,8,7,4,1,3,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,3,6,8,7,4]=>[7,8,4,6,3,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,3,5,4,6,1,8,2]=>[2,6,4,5,3,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,4,1,5,7,8,2]=>[3,6,5,8,4,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,1,4,5,6,8,7,2]=>[6,8,5,4,3,1,2,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,2,6,3,1,8,7]=>[5,4,7,3,6,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,7,5,2,1,6,4]=>[1,6,2,4,7,8,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,3,7,5,2,8,4,1]=>[3,6,2,4,7,1,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,1,6,5,4,2,8,7]=>[6,8,3,4,5,7,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,6,3,2,4,1,8,7]=>[4,3,6,7,5,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,4,1,5,8,7]=>[6,3,7,5,8,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,3,5,4,8,7]=>[7,3,8,6,4,5,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,3,4,8,5,1]=>[3,2,7,6,5,1,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,7,3,8,4,6,2]=>[4,8,2,6,1,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,7,3,8,6,4,1]=>[7,4,2,6,1,3,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,7,4,1,8,5,2]=>[6,3,2,5,8,1,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,3,7,4,8,1,2]=>[4,3,6,2,5,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,7,4,8,5,3]=>[7,8,3,2,5,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,8,7,4,3,6,5]=>[7,8,1,2,5,6,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,3,7,4,2,6,1]=>[4,1,6,2,5,7,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,7,4,1,2,6,5]=>[6,1,2,5,8,7,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,1,3,5,2,6,4]=>[2,1,8,6,4,7,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,7,3,2,6,1,4]=>[4,1,2,6,7,3,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,6,3,1,5,7,4]=>[7,1,3,6,8,4,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,1,6,3,2,5,4,7]=>[1,8,3,6,7,4,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,4,1,6,3,7,5]=>[7,1,5,8,3,6,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,1,2,7,6,3,5]=>[5,1,8,7,2,3,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,4,2,5,7,1,6]=>[6,1,5,7,4,2,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,3,5,2,7,4,1]=>[3,1,6,4,7,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,3,8,7,6,4]=>[7,8,4,6,1,2,3,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,2,8,5,7,6,1]=>[6,5,7,1,4,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,1,8,7,6,5,3]=>[7,5,8,1,2,3,4,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,1,4,8,6,5,7,2]=>[6,8,5,1,3,4,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,5,4,8,2,3]=>[2,8,3,4,5,1,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,5,6,8,4,2,1]=>[6,2,4,3,1,5,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,7,1,6,8,2,4,3]=>[4,2,8,3,1,7,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,5,8,3,7,1]=>[5,3,7,4,1,6,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,3,6,8,7,5]=>[5,8,7,6,3,1,2,4]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,1,8,5,6,7]=>[7,5,6,8,1,4,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,8,4,3,1,7]=>[4,3,7,1,5,6,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,2,8,1,5,3,6]=>[5,2,7,1,8,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,8,7,1,5,4,2]=>[6,3,1,2,8,4,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,8,6,3,4,1,2]=>[4,2,1,3,6,5,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,8,5,4,3,6,2]=>[2,8,1,4,5,6,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,7,8,4,5,3,6,1]=>[7,2,1,5,4,6,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,8,1,4,6,2]=>[4,2,6,1,8,5,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,7,8,5,4,6,3]=>[7,8,2,1,4,5,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,5,8,4,6,3,7]=>[7,8,4,1,5,3,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,8,4,3,6,2,1]=>[2,4,1,5,6,3,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,4,8,3,5,6,1,7]=>[7,5,1,6,4,3,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,8,3,6,5,2,7]=>[5,8,1,6,3,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,8,1,7,2,5,6]=>[6,5,1,8,2,7,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,8,2,4,7,6,5]=>[6,8,1,7,5,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,3,8,1,4,6,7,5]=>[7,6,1,8,5,3,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,3,8,2,5,1,7,6]=>[5,6,1,7,4,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,8,4,2,5,7,1]=>[3,6,1,5,7,4,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,1,4,8,3,5,7,6]=>[7,8,5,1,6,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,2,4,3,5,1,7]=>[3,1,7,5,6,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,3,5,1,6,7]=>[5,1,7,6,4,8,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,8,2,1,4,6,5,7]=>[6,1,7,8,5,3,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,1,3,4,5,7,6]=>[7,1,8,6,5,4,2,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,8,4,1,6,5,3,7]=>[7,1,5,8,3,4,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,1,6,5,7,3]=>[7,1,5,8,3,4,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,7,6,1,4,3,5]=>[7,1,2,3,8,5,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,5,6,7,4,3,1]=>[7,1,4,3,2,5,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,5,8,6,1,4,2,3]=>[2,4,1,3,8,5,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,7,6,1,4,2,8]=>[6,4,2,3,8,5,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,7,2,4,1,6,8]=>[6,4,2,7,5,8,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,8,2,4,1,6,3]=>[2,4,1,7,5,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,5,3,4,7,6,1]=>[7,1,4,6,5,2,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,5,3,4,1,7,6]=>[7,1,4,6,5,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,3,4,1,6,7]=>[7,1,4,6,5,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,7,6,1,4,5,3]=>[7,1,2,3,8,5,4,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,8,5,3,6,1,7,4]=>[7,1,4,6,3,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,6,7,4,1,3]=>[7,1,4,3,2,5,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,5,3,4,7,1,6]=>[7,1,4,6,5,2,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,5,3,4,6,1,7]=>[7,1,4,6,5,3,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,5,3,4,6,7,1]=>[7,1,4,6,5,3,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,7,2,4,6,1,8]=>[6,4,2,7,5,3,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,8,2,4,6,3,1]=>[2,4,1,7,5,3,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,5,8,6,1,4,3,2]=>[2,4,1,3,8,5,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,5,8,2,1,3,7,4]=>[3,4,1,7,8,6,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,5,6,2,1,8,7,4]=>[6,4,3,7,8,1,2,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,7,6,1,4,8,2]=>[6,4,2,3,8,5,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,7,2,4,1,8,6]=>[6,4,2,7,5,8,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,2,4,6,8,1]=>[6,4,2,7,5,3,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,2,6,3,1,7,8]=>[5,4,7,3,6,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,2,3,7,6,8,5]=>[5,8,7,6,2,3,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,7,4,3,8,2]=>[4,8,3,2,5,6,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,2,6,4,8,7,3]=>[4,8,7,3,5,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,2,8,6,4,7,3]=>[4,8,7,1,3,5,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,8,7,3,4,2]=>[4,8,3,1,2,6,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,2,3,8,7,5,6]=>[5,8,7,6,1,2,4,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,2,3,8,6,5,7]=>[5,8,7,6,1,3,4,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,2,3,8,6,7,5]=>[5,8,7,6,1,3,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,3,7,6,5,8]=>[5,8,7,6,2,3,4,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,2,3,8,5,7,6]=>[5,8,7,6,1,4,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,8,4,3,5,2]=>[2,8,3,1,5,6,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,2,8,4,5,7,3]=>[3,8,7,1,5,4,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,8,2,3,1,7,4]=>[4,3,1,7,6,8,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,8,2,4,3,1,7]=>[3,4,1,7,5,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,5,8,2,4,3,7,1]=>[3,4,1,7,5,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,7,4,3,2,8]=>[4,8,3,2,5,6,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,6,8,7,3,2,4]=>[4,8,3,1,2,6,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,6,8,4,3,2,5]=>[2,8,3,1,5,6,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,8,6,3,4,2,1]=>[4,2,1,3,6,5,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,1,8,3,6,5,7,2]=>[5,8,1,6,3,4,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,3,6,2,7,5]=>[5,8,1,6,3,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,4,8,6,2,7,5]=>[6,8,5,1,3,7,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,4,8,6,5,2,7]=>[6,8,5,1,3,4,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,6,5,8,3,2,4]=>[2,8,3,4,1,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,6,7,8,3,2,5]=>[5,8,3,2,1,6,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,5,7,3,2,8]=>[5,8,3,4,2,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,2,6,3,7,1,8]=>[5,4,7,3,6,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,7,3,8,1,6]=>[5,4,7,2,6,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,2,4,8,7,1]=>[6,4,3,7,5,1,2,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,6,2,4,8,1,7]=>[6,4,3,7,5,1,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,5,6,8,4,1,2]=>[6,2,4,3,1,5,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,5,2,8,1,7,4]=>[6,3,4,7,1,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,5,8,4,7,3]=>[3,8,7,4,1,5,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,5,8,3,4,2]=>[2,8,3,4,1,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,2,3,5,8,7,6]=>[5,8,7,6,4,1,2,3]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,1,2,3,7,8,6,5]=>[5,8,7,6,2,1,3,4]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,2,7,3,8,6,1]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,7,8,3,5,2]=>[5,8,3,2,1,6,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,6,8,5,7,3]=>[5,8,7,3,1,4,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,5,6,8,7,3]=>[5,8,7,4,3,1,2,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,2,6,3,7,8,1]=>[5,4,7,3,6,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,5,6,1,4,3,2]=>[2,1,4,3,8,5,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,4,2,1,5,3,6]=>[2,1,5,7,8,4,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,2,1,6,5,3,4]=>[2,1,7,8,3,4,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,1,5,7,3,6]=>[7,5,1,8,4,2,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,8,1,7,2,5,6]=>[5,6,1,8,2,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,3,4,5,1,6,2]=>[2,1,6,5,4,8,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,3,5,4,2,1,6]=>[2,1,6,4,5,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,4,1,2,3,6,5]=>[2,1,5,8,7,6,3,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,2,1,5,3,4,6]=>[2,1,7,8,4,6,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,2,6,4,1,3,5]=>[2,1,7,3,5,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,2,5,6,4,1,3]=>[2,1,7,4,3,5,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,6,5,4,3,2]=>[2,1,8,3,4,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,1,8,7,5,4,3,6]=>[7,8,1,2,4,5,6,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,3,8,2,6,4,7,5]=>[8,6,1,7,3,5,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,7,1,6,4,8,2]=>[4,6,2,8,3,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,2,7,4,1,8]=>[4,6,3,7,2,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,8,7,5,6,1,2]=>[5,6,1,2,4,3,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,7,1,5,3,6,8]=>[7,5,2,8,4,6,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,7,5,6,8,4,3]=>[7,8,2,4,3,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,7,2,8,6,4,1,5]=>[6,2,7,1,3,5,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,1,7,6,4,5,2]=>[6,1,8,2,3,5,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,5,8,3,6,1,4]=>[7,2,4,1,6,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,6,8,2,4,7,3]=>[8,4,3,1,7,5,2,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,8,5,3,1,4,7]=>[7,3,1,4,6,8,5,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,6,1,4,7,3,5,8]=>[7,3,8,5,2,6,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,7,3,8,4,1,2]=>[4,3,2,6,1,5,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,8,1,4,7,3,6]=>[4,7,1,8,5,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,7,5,2,1,3,8]=>[5,3,2,4,7,8,6,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,5,6,7,2,8,1,3]=>[5,4,3,2,7,1,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,7,6,1,8,3,2]=>[5,4,2,3,8,1,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,5,6,3,1,8,2]=>[5,2,4,3,6,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,3,4,2,8,7]=>[4,8,3,6,5,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,7,1,4,2,3,8,6]=>[4,2,8,5,7,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,6,4,3,8,1,2]=>[4,2,3,5,6,1,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,4,5,8,7,1,2]=>[3,6,5,4,1,2,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,4,1,8,3,7,5]=>[3,7,5,8,1,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,3,5,4,8,1,7]=>[3,7,6,4,5,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,4,5,8,7,2]=>[3,8,6,5,4,1,2,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,4,2,7,6,8,3]=>[4,8,5,7,2,3,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,2,4,7,8,3,5]=>[8,3,7,5,2,1,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,4,1,6,3,8]=>[4,2,7,5,8,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,8,1,4,3,2]=>[3,2,4,1,8,5,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,7,6,3,4,1,2]=>[4,1,2,3,6,5,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,7,6,2,3,1,4]=>[4,1,2,3,7,6,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,1,7,2,6,5,3,8]=>[5,8,2,7,3,4,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,2,1,5,6,3,7]=>[5,1,7,8,4,3,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,7,8,1,6,3,5]=>[5,7,2,1,8,3,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,8,7,6,5,3,4]=>[7,8,1,2,3,4,6,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,1,7,4,5,6,8,2]=>[6,8,2,5,4,3,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,7,1,6,3,8,5]=>[5,7,2,8,3,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,5,6,8,1,2]=>[5,6,2,4,3,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,6,5,2,4,1,7]=>[6,1,3,4,7,5,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,5,6,1,4,7,2]=>[6,1,4,3,8,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,7,8,2,1,6,4]=>[4,6,2,1,7,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,7,8,5,1,4,2]=>[6,3,2,1,4,8,5,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,7,6,8,5,2,1,4]=>[6,2,3,1,4,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,8,5,1,2,4,6]=>[6,2,1,4,8,7,5,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,1,8,6,2,3,5,7]=>[5,8,1,3,7,6,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,7,8,6,3,5,1,2]=>[5,2,1,3,6,4,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,8,7,6,5,4,1,2]=>[6,1,2,3,4,5,8,7]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [2,1,7,6,5,3,4,8]=>[7,8,2,3,4,6,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,8,1,6,4,5,3,7]=>[7,1,8,3,5,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,7,5,1,4,3,6]=>[7,1,2,4,8,5,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,8,6,5,4,1,3]=>[7,2,1,3,4,5,8,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [8,3,6,2,4,7,1,5]=>[1,6,3,7,5,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,6,2,4,8,1,5]=>[2,6,3,7,5,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,7,1,2,5,8,6]=>[5,6,2,8,7,4,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,2,7,1,4,8,5]=>[6,3,7,2,8,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,6,7,1,2,8,4]=>[4,6,3,2,8,7,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,4,1,2,8,5]=>[3,6,2,5,8,7,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,7,1,5,2,3,8,6]=>[5,2,8,4,7,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,5,1,2,4,8,6]=>[6,2,4,8,7,5,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,6,3,8,1,2,5]=>[5,2,3,6,1,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,2,3,8,1,6]=>[4,2,5,7,6,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,6,1,4,8,2,5]=>[6,2,3,8,5,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,6,1,8,3,4]=>[4,2,7,3,8,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,7,5,2,8,1,3]=>[3,5,2,4,7,1,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,8,5,2,6,1,3]=>[2,5,1,4,7,3,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,1,2,7,4,5]=>[6,1,3,8,7,2,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,6,2,4,7,1,5]=>[6,1,3,7,5,2,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,4,3,7,1,2,5]=>[3,1,5,6,2,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,5,3,7,1,2,4]=>[3,1,4,6,2,8,7,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,5,7,1,2,4,6]=>[6,1,4,2,8,7,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,8,5,7,1,3,4,6]=>[7,1,4,2,8,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,6,2,7,1,3,5]=>[5,1,3,7,2,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,8,5,6,1,2,4]=>[2,6,1,4,3,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,7,6,4,8,1,3,5]=>[7,2,3,5,1,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,5,8,1,3,4,7]=>[7,3,4,1,8,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,7,4,8,1,3,6]=>[7,4,2,5,1,8,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,6,7,2,8,1,3]=>[4,5,3,2,7,1,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,7,1,8,2,5]=>[5,3,6,2,8,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,7,1,4,8,2,6]=>[6,4,2,8,5,1,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,7,2,4,8,1,6]=>[4,6,2,7,5,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,7,3,8,1,2,6]=>[4,5,2,6,1,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,3,8,1,2,5]=>[2,5,3,6,1,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,6,3,7,1,2,5]=>[1,5,3,6,2,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,6,4,7,8,1,2]=>[4,6,3,5,2,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,7,4,8,5,1,2]=>[3,6,2,5,1,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,1,5,8,6,2,3]=>[5,2,8,4,1,3,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,2,8,1,6,3,4]=>[4,2,7,1,8,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,7,8,2,5,1,3]=>[3,5,2,1,7,4,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,8,5,1,2,4]=>[3,6,2,1,4,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,8,2,7,1,4,5]=>[6,3,1,7,2,8,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,8,7,1,3,5,6]=>[7,5,1,2,8,6,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,3,8,7,1,2,5,6]=>[5,6,1,2,8,7,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,3,8,7,1,2,4,6]=>[4,6,1,2,8,7,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,3,7,6,1,2,4,5]=>[1,6,2,3,8,7,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,4,7,6,1,2,3,5]=>[1,5,2,3,8,7,6,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,4,8,7,1,2,3,6]=>[4,5,1,2,8,7,6,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,5,8,7,1,2,4,6]=>[6,4,1,2,8,7,5,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,5,8,7,1,3,4,6]=>[7,4,1,2,8,6,5,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,6,8,2,7,1,3,5]=>[5,3,1,7,2,8,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,8,6,2,3,5]=>[5,2,8,1,3,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,8,6,4,1,2,3]=>[2,4,1,3,5,8,7,6]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,4,7,5,1,2,3]=>[3,1,5,2,4,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,7,1,6,2,3,4]=>[4,1,2,8,3,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,7,6,1,3,4,5]=>[7,1,2,3,8,6,5,4]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,8,7,6,1,2,4,5]=>[6,1,2,3,8,7,5,4]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,8,7,6,1,2,3,5]=>[5,1,2,3,8,7,6,4]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,6,3,1,4,2,8,7]=>[4,3,6,8,5,7,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,4,5,1,6,2]=>[6,1,2,5,4,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,4,5,8,2,3]=>[3,2,8,5,4,1,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,7,8,5,3,6,4]=>[7,8,2,1,4,6,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,3,8,1,2,6,4]=>[4,2,6,1,8,7,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,8,4,1,6,5,3]=>[7,2,1,5,8,3,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,1,8,4,2,6,5,3]=>[2,8,1,5,7,3,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,3,8,4,1,6,5,2]=>[2,6,1,5,8,3,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,4,5,7,2,8,1]=>[6,3,5,4,2,7,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,6,3,4,7,1,5]=>[1,7,3,6,5,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,6,3,4,5,8,1]=>[2,7,3,6,5,4,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,2,7,3,4,5,8,1]=>[3,7,2,6,5,4,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,2,7,4,5,8,1]=>[6,3,7,2,5,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,7,3,6,8,1]=>[5,7,4,2,6,3,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,3,5,2,4,8,1]=>[3,2,6,4,7,5,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,6,2,4,5,8,1]=>[6,2,3,7,5,4,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,6,3,4,5,8,1]=>[7,2,3,6,5,4,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,3,2,8,4,5,7]=>[8,3,6,7,1,5,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,3,1,2,8,4,6]=>[4,2,6,8,7,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,3,1,8,4,7]=>[4,3,7,6,8,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,5,1,8,3,7]=>[5,7,3,4,8,1,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,8,6,2,7,1,3]=>[4,5,1,3,7,2,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,3,5,2,7,1,4]=>[3,1,6,4,7,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,5,2,3,6,1,4]=>[2,1,4,7,6,3,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,2,1,7,3,4,5]=>[3,1,7,8,2,6,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,6,3,7,2,4,5]=>[8,1,3,6,2,7,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,8,1,7,3,4,5,6]=>[7,1,8,2,6,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,6,1,7,2,4,5]=>[6,1,3,8,2,7,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,1,5,7,2,3,6]=>[5,1,8,4,2,7,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,8,3,7,1,5,6]=>[5,7,1,6,2,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,7,5,8,2,3,6]=>[5,8,2,4,1,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,2,7,3,4,5,6]=>[1,8,7,2,6,5,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,2,7,1,8,4,5]=>[6,3,7,2,8,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,1,2,8,4,5]=>[3,6,2,8,7,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,6,1,8,3,4,5]=>[2,7,3,8,1,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,6,1,7,3,4,5]=>[1,7,3,8,2,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,5,3,4,6,8,2,7]=>[8,4,6,5,3,1,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,1,6,8,2,7]=>[5,6,4,8,3,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,6,3,8,7,1,2]=>[4,5,3,6,1,2,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,4,5,8,7,1,2]=>[6,3,5,4,1,2,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,8,3,7,2,4,5]=>[3,8,1,6,2,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,8,1,7,2,4,5]=>[3,6,1,8,2,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,6,8,2,3,5,1,4]=>[2,3,1,7,6,4,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,8,2,4,6,1,5]=>[6,2,1,7,5,3,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,8,2,5,1,4]=>[3,2,6,1,7,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,8,2,6,1,3]=>[4,5,2,1,7,3,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,8,7,1,3,6]=>[5,7,4,1,2,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,2,8,7,1,4,5]=>[6,3,7,1,2,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,8,1,6,2,4,5]=>[6,2,1,8,3,7,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,8,7,1,4,5,6]=>[7,6,1,2,8,5,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,2,8,6,1,3,4,5]=>[2,7,1,3,8,6,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,1,8,7,3,4,5,6]=>[7,8,1,2,6,5,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,2,7,6,1,3,4,5]=>[1,7,2,3,8,6,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,3,8,7,2,4,5,6]=>[8,6,1,2,7,5,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,8,7,2,3,6]=>[5,8,4,1,2,7,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,8,7,6,1,2,3]=>[4,5,1,2,3,8,7,6]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,3,7,5,1,2,4]=>[3,1,6,2,4,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,6,2,5,1,3,4]=>[2,1,3,7,4,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,6,7,3,2,5,4]=>[1,8,3,2,6,7,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,6,7,3,2,4,5]=>[1,8,3,2,6,7,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,5,3,7,2,4,6]=>[1,8,4,6,2,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,5,3,6,2,4,7]=>[1,8,4,6,3,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,8,3,6,2,4,1]=>[2,4,1,6,3,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,8,3,2,6,5,1]=>[2,5,1,6,7,3,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,4,3,2,6,5,7]=>[1,8,5,6,7,3,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,4,3,2,7,5,6]=>[1,8,5,6,7,2,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,4,3,2,7,6,5]=>[1,8,5,6,7,2,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,5,4,6,7,2,3]=>[1,8,4,5,3,2,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,5,3,6,2,7,4]=>[1,8,4,6,3,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,3,2,6,7,5]=>[1,8,5,6,7,3,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,4,3,2,5,7,6]=>[1,8,5,6,7,4,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,4,3,2,5,6,7]=>[1,8,5,6,7,4,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,4,8,3,2,5,6,1]=>[2,5,1,6,7,4,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,8,3,6,2,1,4]=>[2,4,1,6,3,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,8,3,2,6,1,5]=>[2,5,1,6,7,3,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,8,3,2,5,1,6]=>[2,5,1,6,7,4,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,6,8,1,4,5,2,3]=>[2,3,1,8,5,4,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,6,8,1,3,2,5,4]=>[2,3,1,8,6,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,8,3,2,1,5,6]=>[2,5,1,6,7,8,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,4,8,3,2,1,6,5]=>[2,5,1,6,7,8,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,5,8,3,1,2,6,4]=>[2,4,1,6,8,7,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,8,4,1,6,2,3]=>[2,4,1,5,8,3,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,2,1,3,4,8,7]=>[4,3,7,8,6,5,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,2,7,4,1,3,6]=>[4,1,7,2,5,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,7,8,2,1,4,6]=>[4,6,2,1,7,8,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,7,8,4,3,5,6]=>[7,8,2,1,5,6,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,7,4,1,5,6,2]=>[1,6,2,5,8,4,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,1,2,5,4,6,3]=>[2,1,8,7,4,5,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,8,3,1,4,7,5]=>[7,3,1,6,8,5,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,1,8,3,2,4,5,7]=>[3,8,1,6,7,5,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,8,7,4,2,1,6,3]=>[4,1,2,5,7,8,3,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,7,2,8,1,3,6,5]=>[5,2,7,1,8,6,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,8,6,1,2,5,4]=>[2,6,1,3,8,7,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,4,7,1,8,2,6,5]=>[6,5,2,8,1,7,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,2,4,3,5,7,8]=>[8,3,7,5,6,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,2,4,3,6,7,8]=>[8,4,7,5,6,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,2,5,3,4,7,8]=>[8,3,7,4,6,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,2,5,3,4,6,8]=>[8,2,7,4,6,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,2,6,3,4,5,7]=>[8,1,7,3,6,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,2,6,3,4,5,8]=>[8,2,7,3,6,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,2,7,3,5,4,6]=>[8,1,7,2,6,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,8,3,5,4,6]=>[8,2,7,1,6,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,8,3,6,4,7]=>[8,4,7,1,6,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,8,3,6,5,7]=>[8,5,7,1,6,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,8,4,6,5,7]=>[8,6,7,1,5,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,3,7,4,6,5,8]=>[8,7,6,2,5,3,4,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,2,7,4,6,5,8]=>[8,6,7,2,5,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,7,3,6,5,8]=>[8,5,7,2,6,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,7,3,6,4,8]=>[8,4,7,2,6,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,7,3,5,4,8]=>[8,3,7,2,6,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,6,3,5,4,8]=>[8,2,7,3,6,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,6,3,5,4,7]=>[8,1,7,3,6,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,5,3,6,4,7]=>[8,1,7,4,6,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,5,3,6,4,8]=>[8,2,7,4,6,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,5,3,7,4,8]=>[8,3,7,4,6,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,4,3,7,6,8]=>[8,4,7,5,6,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,4,3,7,5,8]=>[8,3,7,5,6,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,4,3,6,5,8]=>[8,2,7,5,6,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,4,3,6,5,7]=>[8,1,7,5,6,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,3,4,6,5,7]=>[8,1,7,6,5,3,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,4,6,5,8]=>[8,2,7,6,5,3,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,3,4,7,5,6]=>[8,1,7,6,5,2,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,4,3,7,5,6]=>[8,1,7,5,6,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,4,3,8,5,7]=>[8,3,7,5,6,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,5,3,8,4,7]=>[8,3,7,4,6,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,5,3,8,4,6]=>[8,2,7,4,6,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,5,3,7,4,6]=>[8,1,7,4,6,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,6,3,8,4,5]=>[8,2,7,3,6,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,2,8,4,7,5,6]=>[8,6,7,1,5,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,8,3,7,5,6]=>[8,5,7,1,6,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,8,3,7,4,6]=>[8,4,7,1,6,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,8,3,7,4,5]=>[8,3,7,1,6,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,8,3,6,4,5]=>[8,2,7,1,6,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,7,2,5,1,8]=>[5,3,6,2,7,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,7,5,2,1,8]=>[5,3,6,2,4,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,3,8,5,1,7,2]=>[5,3,6,1,4,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,3,8,5,1,2,7]=>[5,3,6,1,4,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,8,3,4,1,2,7]=>[4,3,1,6,5,8,7,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,8,3,4,1,7,2]=>[4,3,1,6,5,8,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,7,5,3,1,8]=>[5,3,7,2,4,6,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,7,2,4,3,1,8]=>[4,3,2,7,5,6,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,4,3,1,7,2]=>[4,3,1,5,6,8,2,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,8,4,3,1,2,7]=>[4,3,1,5,6,8,7,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,8,4,1,6,3,2]=>[4,2,1,5,8,3,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,8,4,1,3,6,2]=>[4,2,1,5,8,6,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,8,4,2,1,7,3]=>[4,3,1,5,7,8,2,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,8,2,4,1,7,3]=>[4,3,1,7,5,8,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,8,5,1,7,3]=>[5,3,7,1,4,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,8,5,1,7,4]=>[6,7,3,1,4,8,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,8,5,1,4,7]=>[6,7,3,1,4,8,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,2,8,5,1,3,7]=>[5,3,7,1,4,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,8,2,4,1,3,7]=>[4,3,1,7,5,8,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,8,4,2,1,3,7]=>[4,3,1,5,7,8,6,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,8,4,1,3,2,6]=>[4,2,1,5,8,6,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,8,4,1,2,6,3]=>[4,2,1,5,8,7,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,8,4,1,2,3,6]=>[4,2,1,5,8,7,6,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,7,8,1,5,2,3,4]=>[3,2,1,8,4,7,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,8,1,5,2,4,3]=>[3,2,1,8,4,7,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,1,5,3,2,4]=>[3,2,1,8,4,6,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,8,1,3,5,2,4]=>[3,2,1,8,6,4,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,8,2,1,6,3,4]=>[4,2,1,7,8,3,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,2,8,1,6,3,5]=>[5,2,7,1,8,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,8,1,6,4,5]=>[6,7,2,1,8,3,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,8,1,6,5,4]=>[6,7,2,1,8,3,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,2,8,1,6,5,3]=>[5,2,7,1,8,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,8,2,1,6,4,3]=>[4,2,1,7,8,3,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,8,1,3,5,4,2]=>[3,2,1,8,6,4,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,8,1,5,3,4,2]=>[3,2,1,8,4,6,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,1,5,4,3,2]=>[3,2,1,8,4,5,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,8,1,5,4,2,3]=>[3,2,1,8,4,5,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,8,1,4,5,2,3]=>[3,2,1,8,5,4,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,8,1,4,5,3,2]=>[3,2,1,8,5,4,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,8,1,4,3,5,2]=>[3,2,1,8,5,6,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,1,3,4,5,2]=>[3,2,1,8,6,5,4,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,8,2,1,4,6,3]=>[4,2,1,7,8,5,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,2,8,1,5,6,3]=>[5,2,7,1,8,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,7,8,1,5,6,4]=>[6,7,2,1,8,4,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,6,8,4,1,7,5]=>[6,7,3,1,5,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,2,8,3,1,7,5]=>[5,3,7,1,6,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,8,3,2,1,7,4]=>[4,3,1,6,7,8,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,8,3,1,4,6,2]=>[4,2,1,6,8,5,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,8,3,1,6,4,2]=>[4,2,1,6,8,3,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,8,3,1,6,2,4]=>[4,2,1,6,8,3,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,8,1,6,5,2]=>[5,2,6,1,8,3,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,3,8,1,5,6,2]=>[5,2,6,1,8,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,3,8,2,1,7,5]=>[5,3,6,1,7,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,3,2,8,1,7,6]=>[5,4,6,7,1,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,3,8,1,7,6]=>[5,4,7,6,1,8,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,4,8,1,7,6]=>[6,7,4,5,1,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,3,2,8,1,6,7]=>[5,4,6,7,1,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,3,8,2,1,5,7]=>[5,3,6,1,7,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,3,8,1,5,2,6]=>[5,2,6,1,8,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,8,1,2,6,5]=>[5,2,6,1,8,7,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,3,8,1,2,5,6]=>[5,2,6,1,8,7,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,8,3,1,2,4,6]=>[4,2,1,6,8,7,5,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,8,3,1,2,6,4]=>[4,2,1,6,8,7,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,8,3,1,4,2,6]=>[4,2,1,6,8,5,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,8,3,2,1,4,7]=>[4,3,1,6,7,8,5,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,2,7,8,1,5,4,6]=>[6,7,2,1,8,4,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,8,2,1,4,3,6]=>[4,2,1,7,8,5,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,8,1,3,4,2,5]=>[3,2,1,8,6,5,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,8,1,4,3,2,5]=>[3,2,1,8,5,6,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,8,1,4,2,5,3]=>[3,2,1,8,5,7,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,1,4,2,3,5]=>[3,2,1,8,5,7,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,8,1,2,5,3,4]=>[3,2,1,8,7,4,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,8,1,2,5,4,3]=>[3,2,1,8,7,4,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,8,1,2,4,5,3]=>[3,2,1,8,7,5,4,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,8,1,3,2,5,4]=>[3,2,1,8,6,7,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,2,1,3,6,4]=>[4,2,1,7,8,6,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,7,8,1,4,6,5]=>[6,7,2,1,8,5,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,8,1,3,2,4,5]=>[3,2,1,8,6,7,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,8,1,2,4,3,5]=>[3,2,1,8,7,5,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,8,1,2,3,5,4]=>[3,2,1,8,7,6,4,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,2,8,5,1,6,4,3]=>[2,7,1,4,8,3,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,3,7,5,2,6,4,8]=>[8,6,2,4,7,3,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,7,5,4,2,6,8]=>[8,6,2,4,5,7,3,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,2,8,5,4,1,6,3]=>[2,7,1,4,5,8,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,8,5,4,3,1,7,6]=>[7,1,4,5,6,8,2,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,8,4,5,6,1,7,3]=>[7,1,5,4,3,8,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,5,7,3,1,4]=>[7,1,3,4,2,6,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,5,3,7,1,6]=>[7,1,5,4,6,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,3,5,6,1,7]=>[7,1,5,6,4,3,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,8,2,5,6,3,1]=>[2,5,1,7,4,3,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,4,8,5,2,1,3,6]=>[2,5,1,4,7,8,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,4,8,5,1,3,7,2]=>[3,5,1,4,8,6,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,7,5,2,1,8,4]=>[3,6,2,4,7,8,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,3,7,5,1,2,8,6]=>[5,6,2,4,8,7,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,3,7,1,5,6,8,2]=>[5,6,2,8,4,3,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,1,7,5,2,8,4]=>[6,3,8,2,4,7,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,1,2,7,6,8,5]=>[6,5,8,7,2,3,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,1,7,5,8,6]=>[6,5,7,8,2,4,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,7,1,4,8,2]=>[6,3,4,2,8,5,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,6,4,8,7,1]=>[6,4,7,3,5,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,1,8,7,2,4,3]=>[4,3,8,1,2,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,5,8,2,7,4,1]=>[3,6,4,1,7,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,5,8,4,2,3,7,1]=>[3,4,1,5,7,6,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,5,8,3,7,1,4]=>[3,7,4,1,6,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,5,7,3,4,2,8]=>[8,3,4,2,6,5,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,7,4,6,3,8]=>[8,4,7,2,5,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,3,8,4,6,2,5]=>[2,8,6,1,5,3,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,4,8,6,1,7,5]=>[7,6,5,1,3,8,2,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,4,8,6,5,1,7]=>[7,6,5,1,3,4,8,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,7,3,5,8,6,1,4]=>[7,2,6,4,1,3,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,7,8,6,1,5]=>[6,7,5,2,1,3,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,4,6,2,7,3,8]=>[8,4,5,3,7,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,4,7,1,8,3,6]=>[4,7,5,2,8,1,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,4,1,8,7,2]=>[4,6,3,5,8,1,2,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,3,6,1,4,8,2,7]=>[4,6,3,8,5,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,5,6,8,4,2,1]=>[2,6,4,3,1,5,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,3,5,1,8,2,7,4]=>[3,6,4,8,1,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,1,5,8,4,7,3]=>[7,3,8,4,1,5,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,6,5,8,3,4,1]=>[7,2,3,4,1,6,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,6,3,8,4,2]=>[4,2,8,3,6,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,4,1,7,8,5,6]=>[6,7,5,8,2,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,4,2,7,8,6,5]=>[6,8,5,7,2,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,4,7,2,8,6,3]=>[4,8,5,2,7,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,4,7,8,2,5,1]=>[6,3,5,2,1,7,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,6,8,5,7,2]=>[6,8,5,3,1,4,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,5,7,1,8,2]=>[3,6,5,4,2,8,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,6,1,7,8,3]=>[7,4,5,3,8,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,1,2,6,5,8]=>[2,6,5,8,7,3,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,3,2,5,4,8,1]=>[3,2,6,7,4,5,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,1,6,2,4,8]=>[2,6,4,8,3,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,6,1,5,4,2,8]=>[2,6,3,8,4,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,6,5,1,3,2,8]=>[2,5,3,4,8,6,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,5,4,3,2,7,6]=>[8,1,4,5,6,7,2,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,8,6,4,3,7,2,5]=>[8,1,3,5,6,2,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,7,4,3,1,8,2]=>[3,4,2,5,6,8,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,4,7,5,1,3,8,2]=>[3,5,2,4,8,6,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,7,1,5,4,8,2]=>[3,6,2,8,4,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,8,1,5,4,7,6]=>[7,6,1,8,4,5,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,5,1,3,7,6]=>[7,5,1,4,8,6,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,4,3,1,7,6]=>[7,4,1,5,6,8,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,8,4,3,7,1,5]=>[7,3,1,5,6,2,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,8,4,3,6,5,1]=>[7,2,1,5,6,3,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,8,7,4,3,6,5,2]=>[8,1,2,5,6,3,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,7,5,6,3,4,2]=>[8,1,2,4,3,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,8,5,6,3,4,1]=>[7,2,1,4,3,6,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,8,5,7,3,1,4]=>[7,3,1,4,2,6,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,8,6,7,1,3,4]=>[7,4,1,3,2,8,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,8,6,1,7,3,5]=>[7,5,1,3,8,2,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,7,1,6,8,4,2]=>[4,6,2,8,3,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,4,7,6,1,8,3,2]=>[4,5,2,3,8,1,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,5,7,6,8,1,3,2]=>[5,4,2,3,1,8,6,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,5,8,3,1,2]=>[5,3,2,4,1,6,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,6,5,7,3,2,4]=>[8,1,3,4,2,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,6,7,2,3,4]=>[8,1,4,3,2,7,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,5,6,8,2,3,1]=>[5,2,4,3,1,7,6,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,7,8,2,1,3]=>[5,3,4,2,1,7,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,4,6,7,1,8,2,3]=>[4,5,3,2,8,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,1,7,8,2,4]=>[4,6,3,8,2,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,5,1,7,2,8,4]=>[3,6,4,8,2,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,5,7,1,2,8,3]=>[3,5,4,2,8,7,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,4,7,2,8,1,3]=>[4,3,5,2,7,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,2,6,7,4,5]=>[8,1,6,7,3,2,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,3,2,6,8,4,1]=>[4,2,6,7,3,1,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,3,2,7,8,1,4]=>[4,3,6,7,2,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,1,2,8,7,6]=>[4,6,5,8,7,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,6,3,2,8,7,1,5]=>[5,3,6,7,1,2,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,2,8,6,5,1]=>[5,2,6,7,1,3,4,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,4,8,2,6,5,1]=>[6,2,5,1,7,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,4,8,2,7,1,5]=>[6,3,5,1,7,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,8,2,1,7,6]=>[6,4,5,1,7,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,5,8,1,2,7,6]=>[6,5,4,1,8,7,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,3,5,1,8,2,7,6]=>[5,6,4,8,1,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,1,8,7,2,5]=>[5,6,3,8,1,2,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,6,8,1,7,2,5]=>[6,5,3,1,8,2,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,6,8,7,1,2,4]=>[6,4,3,1,2,8,7,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,5,8,7,2,1,4]=>[6,3,4,1,2,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,5,8,6,2,4,1]=>[6,2,4,1,3,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,5,7,6,2,4,3]=>[8,1,4,2,3,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,6,7,5,4,2,3]=>[8,1,3,2,4,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,7,8,5,4,1,2]=>[6,3,2,1,4,5,8,7]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,5,7,8,6,1,4,2]=>[6,4,2,1,3,8,5,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,7,8,1,6,5,2]=>[6,5,2,1,8,3,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,8,1,7,6,5,4]=>[7,6,1,8,2,3,4,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,8,7,1,6,5,3]=>[7,5,1,2,8,3,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,8,7,6,1,4,3]=>[7,4,1,2,3,8,5,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,8,7,5,4,1,3]=>[7,3,1,2,4,5,8,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,1,7,4,6,2]=>[1,6,4,8,2,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,1,7,5,6,2]=>[1,6,5,8,2,4,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,3,1,7,5,6,2]=>[5,1,6,8,2,4,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,1,7,5,8,3]=>[5,3,7,8,2,4,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,2,7,5,8,3]=>[8,5,3,7,2,4,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,2,6,8,4,3]=>[8,2,4,7,3,1,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,4,3,1,7,5,2]=>[3,1,5,6,8,2,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,6,8,4,1,7,5,2]=>[6,3,1,5,8,2,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,7,5,1,8,4,2]=>[6,3,2,4,8,1,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,6,5,7,1,8,2]=>[6,5,3,4,2,8,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,6,1,8,3,2]=>[5,2,4,3,8,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,5,1,8,4,3,2]=>[3,2,4,8,1,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,4,1,7,5,3,2]=>[3,1,5,8,2,4,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,5,3,1,8,4,2]=>[3,2,4,6,8,1,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,4,2,6,7,5,3]=>[8,1,5,7,3,2,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,3,2,7,6,8,4]=>[8,4,6,7,2,3,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,1,7,6,8,4]=>[7,4,6,8,2,3,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,4,1,6,7,5,3]=>[7,1,5,8,3,2,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,5,1,6,8,4,3]=>[7,2,4,8,3,1,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,6,1,7,5,8,3]=>[7,5,3,8,2,4,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,6,5,8,2,3]=>[5,2,8,3,4,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,6,5,7,1,3]=>[5,1,7,3,4,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,1,2,7,5,8,3]=>[5,3,8,7,2,4,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,2,7,6,8,4]=>[6,4,8,7,2,3,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,5,8,2,3,4]=>[3,2,8,4,1,7,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,6,1,5,8,3,4]=>[7,2,3,8,4,1,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,1,7,6,8,4]=>[7,6,4,8,2,3,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,1,5,8,2,4]=>[6,3,2,8,4,1,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,6,5,8,2,4,3]=>[2,8,3,4,1,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,3,1,7,6,8,4]=>[4,7,6,8,2,3,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,2,1,7,6,8,4]=>[6,4,7,8,2,3,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,2,7,6,8,4]=>[8,6,4,7,2,3,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,6,2,5,8,3,4]=>[8,2,3,7,4,1,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,4,1,7,5,8,3]=>[3,7,5,8,2,4,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,5,1,7,4,8,3]=>[3,7,4,8,2,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,4,8,2,5,3]=>[2,8,3,5,1,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,4,7,1,5,3]=>[1,7,3,5,2,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,7,6,2,1,4]=>[1,6,4,2,3,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,3,5,7,6,2,4]=>[8,1,6,4,2,3,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,3,7,6,8,4]=>[8,4,7,6,2,3,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,5,7,1,4,3]=>[1,7,3,4,2,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,6,8,2,5,7,1,4]=>[6,3,1,7,4,2,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,2,3,7,6,8,5]=>[8,5,7,6,2,3,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,3,7,6,8,5]=>[7,5,8,6,2,3,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,3,7,6,8,4]=>[7,4,8,6,2,3,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,3,5,7,6,1,4]=>[7,1,6,4,2,3,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,2,3,5,7,1,4]=>[3,1,7,6,4,2,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,3,5,8,2,4]=>[3,2,8,6,4,1,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,3,5,7,6,1,2,4]=>[1,6,4,2,3,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,2,3,7,6,8,4]=>[4,8,7,6,2,3,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,4,7,6,8,5]=>[6,8,7,5,2,3,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,2,4,3,6,5,7]=>[1,8,7,5,6,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,5,6,2,7,4]=>[1,8,6,4,3,7,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,3,4,2,6,7,5]=>[1,8,6,5,7,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,3,2,4,5,7,6]=>[1,8,6,7,5,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,8,3,4,5,6,1]=>[7,2,1,6,5,4,3,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,3,8,4,5,7,1]=>[7,3,6,1,5,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,8,5,6,1,2,3]=>[5,2,1,4,3,8,7,6]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,8,5,6,2,1,4]=>[6,2,1,4,3,7,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,4,2,6,1,5]=>[6,2,1,5,7,3,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,8,2,4,5,1,6]=>[6,2,1,7,5,4,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,8,4,5,1,7]=>[6,3,7,1,5,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,7,4,5,8,1]=>[7,6,3,2,5,4,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,2,4,8,6,1,7]=>[6,4,7,5,1,3,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,2,8,7,1,6]=>[6,4,5,7,1,2,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,5,8,7,1,2,3]=>[5,3,4,1,2,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,5,1,7,8,2,3]=>[3,5,4,8,2,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,4,1,3,7,5,8]=>[3,7,5,8,6,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,4,8,3,7,5,1]=>[7,3,5,1,6,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,5,8,7,3,4,1]=>[7,3,4,1,2,6,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,5,1,7,3,4,8]=>[3,7,4,8,2,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,5,6,7,8,3,4,1]=>[7,4,3,2,1,6,5,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,6,7,3,8,5,1]=>[7,5,3,2,6,1,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,2,6,7,3,1,5,8]=>[5,7,3,2,6,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,8,2,3,1,5,6]=>[5,2,1,7,6,8,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,8,3,2,1,6,5]=>[5,2,1,6,7,8,3,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,4,8,1,7,2,3]=>[4,3,5,1,8,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,3,7,1,6,8]=>[5,7,4,6,2,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,3,6,7,2,1,8,5]=>[5,6,3,2,7,8,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,6,7,2,8,1,5]=>[6,5,3,2,7,1,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,5,2,7,8,1,6]=>[6,5,4,7,2,1,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,2,5,6,8,1,7]=>[6,5,7,4,3,1,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,7,8,6,4,1,3]=>[4,7,2,1,3,5,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,2,7,8,6,4,3]=>[4,8,7,2,1,3,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,7,1,8,6,5,2,3]=>[5,2,8,1,3,4,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,1,2,8,6,5,3]=>[5,2,8,7,1,3,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,6,8,1,2,7,5,3]=>[5,3,1,8,7,2,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,7,1,5,3,2,4]=>[3,1,2,8,4,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,7,3,5,1,2,4]=>[3,1,2,6,4,8,7,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,1,6,3,5,2,4]=>[2,1,8,3,6,4,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,3,6,5,2,4]=>[2,1,8,6,3,4,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,3,6,5,2,1,4]=>[2,1,6,3,4,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,2,8,6,1,5,3]=>[5,2,7,1,3,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,3,4,8,6,5,2]=>[8,2,6,5,1,3,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,2,7,1,8,6,5,3]=>[5,7,2,8,1,3,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,8,2,3,6,5,1,4]=>[2,1,7,6,3,4,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,5,7,1,6,2,3,4]=>[1,4,2,8,3,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,5,7,1,2,6,3,4]=>[1,4,2,8,7,3,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,2,7,1,3,5,4]=>[3,1,7,2,8,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,7,2,5,3,1,4]=>[3,1,2,7,4,6,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,4,8,7,1,5,3]=>[3,7,5,1,2,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,8,3,7,4,5,2]=>[8,3,1,6,2,5,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,3,4,7,5,2]=>[8,3,1,6,5,2,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,4,8,1,7,5,3]=>[3,7,5,1,8,2,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,7,2,3,5,1,4]=>[3,1,2,7,6,4,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,2,1,7,3,5,4]=>[3,1,7,8,2,6,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,5,7,2,1,6,3,4]=>[1,4,2,7,8,3,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,7,1,2,3,6,4]=>[1,4,2,8,7,6,3,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,5,7,2,3,1,6,4]=>[1,4,2,7,6,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,4,2,7,1,6,3]=>[4,1,5,7,2,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,7,5,3,4,6,2]=>[8,1,2,4,6,5,3,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,7,3,5,4,6,2]=>[8,1,2,6,4,5,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,5,4,7,1,6,3]=>[1,7,4,5,2,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,4,7,2,1,6,3]=>[4,1,5,2,7,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,7,5,4,3,6,2]=>[8,1,2,4,5,6,3,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,6,8,4,3,7,5,2]=>[8,3,1,5,6,2,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,8,7,3,2,5,1,4]=>[3,1,2,6,7,4,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,8,1,7,3,2,5,4]=>[3,1,8,2,6,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,7,3,1,6,2,4]=>[1,4,2,6,8,3,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,7,1,3,2,6,4]=>[1,4,2,8,6,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,3,1,2,6,4]=>[1,4,2,6,8,7,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,4,7,1,2,6,3]=>[4,1,5,2,8,7,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,4,1,7,2,6,3]=>[4,1,5,8,2,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,7,1,6,2,3]=>[4,1,5,2,8,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,6,5,7,4,3]=>[1,8,7,3,4,2,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,5,6,7,4,1,3]=>[1,7,4,3,2,5,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,5,7,1,6,2,3]=>[5,1,4,2,8,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,5,7,1,2,6,3]=>[5,1,4,2,8,7,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,5,1,7,2,6,3]=>[5,1,4,8,2,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,3,7,2,5,4]=>[3,1,8,6,2,7,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,8,1,7,5,3]=>[5,3,7,1,8,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,4,8,3,7,5,2]=>[8,3,5,1,6,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,7,4,5,3,6,2]=>[8,1,2,5,4,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,7,2,1,6,3]=>[5,1,4,2,7,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,5,2,7,1,6,3]=>[5,1,4,7,2,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,7,4,3,5,6,2]=>[8,1,2,5,6,4,3,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,7,3,4,5,6,2]=>[8,1,2,6,5,4,3,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,2,4,5,7,1,6,3]=>[1,7,5,4,2,8,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,8,5,3,7,6,4]=>[7,8,1,4,6,2,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,8,7,6,4,3,5]=>[7,8,1,2,3,5,6,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,1,8,7,6,4,5,3]=>[7,8,1,2,3,5,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,8,5,4,7,3,6]=>[7,8,1,4,5,2,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,8,7,6,3,5,4]=>[7,8,1,2,3,6,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,6,2,1,8,7,3]=>[5,4,3,7,8,1,2,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,1,7,8,6,4]=>[7,4,6,8,2,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,4,1,7,8,5,3]=>[7,3,5,8,2,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,5,1,7,8,4,3]=>[7,3,4,8,2,1,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,7,1,6,8,2,3]=>[5,4,2,8,3,1,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,5,8,3,4,7]=>[3,8,7,4,1,6,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,4,8,2,5,6]=>[2,8,6,5,1,7,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,5,6,8,2,3,4]=>[2,8,4,3,1,7,6,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,5,7,8,3,4]=>[7,3,8,4,2,1,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,2,1,6,8,7,4]=>[6,4,7,8,3,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,2,5,7,3,4,8]=>[8,3,7,4,2,6,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,2,4,7,3,5,8]=>[8,3,7,5,2,6,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,7,1,4,8,2,5]=>[6,3,2,8,5,1,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,4,7,8,3,5]=>[7,3,8,5,2,1,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,4,6,8,2,3,5]=>[2,8,5,3,1,7,6,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,5,8,2,4,6]=>[2,8,6,4,1,7,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,2,4,8,3,5,7]=>[3,8,7,5,1,6,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,1,6,4,8,7]=>[4,7,6,8,3,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,5,2,3,1,8,6]=>[2,5,4,7,6,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,3,5,2,4,1]=>[1,3,2,6,4,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,5,2,4,1,8,6]=>[2,6,4,7,5,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,5,2,4,1,8,7]=>[3,6,4,7,5,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,4,1,6,3,8,7]=>[4,7,5,8,3,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,3,5,2,8,7]=>[5,8,3,6,4,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,4,1,5,2,8,7]=>[3,6,5,8,4,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,3,4,1,8,7]=>[4,7,3,6,5,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,7,3,4,1,8,6]=>[4,7,2,6,5,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,8,6,7,3,4,1]=>[4,7,1,3,2,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,5,7,3,4,1]=>[3,7,1,4,2,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,3,4,1,8,5]=>[3,7,2,6,5,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,4,1,5,2,8,6]=>[2,6,5,8,4,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,3,5,2,8,6]=>[5,8,2,6,4,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,7,4,5,3,8,6]=>[7,8,2,5,4,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,6,7,4,5,2]=>[6,8,1,3,2,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,6,7,3,5,2]=>[5,8,1,3,2,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,3,4,1,5,2]=>[1,3,2,6,5,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,3,4,1,6,2]=>[1,4,2,6,5,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,3,5,1,6,2]=>[1,5,2,6,4,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,4,7,3,6,2]=>[4,8,1,5,2,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,5,7,3,6,2]=>[5,8,1,4,2,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,5,7,4,6,2]=>[6,8,1,4,2,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,5,7,4,6,3]=>[7,8,1,4,2,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,7,4,6,3,8,5]=>[7,8,2,5,3,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,7,4,6,2,8,5]=>[6,8,2,5,3,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,3,5,1,8,4]=>[3,7,2,6,4,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,4,7,3,5,1]=>[3,7,1,5,2,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,6,2,5,1,8,4]=>[2,6,3,7,4,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,5,1,7,3,8,4]=>[3,7,4,8,2,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,4,1,7,3,8,6]=>[4,7,5,8,2,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,4,1,7,3,8,5]=>[3,7,5,8,2,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,4,6,2,3,1]=>[1,4,2,5,3,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,6,2,3,1,8,5]=>[2,5,3,7,6,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,3,1,7,4,8,5]=>[3,7,6,8,2,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,3,1,7,4,8,6]=>[4,7,6,8,2,5,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,3,1,7,5,8,6]=>[5,7,6,8,2,4,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,4,2,8,6,7,5]=>[6,8,5,7,1,3,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,3,1,8,5,7,4]=>[3,7,6,8,1,4,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,6,2,3,1,7,4]=>[1,4,3,7,6,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,8,5,6,2,3,1]=>[2,5,1,4,3,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,5,6,2,4,1]=>[2,6,1,4,3,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,6,2,4,1,7,3]=>[1,4,3,7,5,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,4,1,8,6,7,3]=>[4,7,5,8,1,3,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,5,2,8,6,7,3]=>[5,8,4,7,1,3,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,5,2,8,6,7,4]=>[6,8,4,7,1,3,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,3,8,5,7,4]=>[7,8,3,6,1,4,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,2,8,5,7,4]=>[6,8,3,7,1,4,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,2,8,5,7,3]=>[5,8,3,7,1,4,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,2,8,4,7,3]=>[4,8,3,7,1,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,6,2,5,1,7,3]=>[1,5,3,7,4,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,4,6,2,5,1]=>[2,6,1,5,3,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,3,8,4,5,1]=>[3,7,2,6,1,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,1,6,2,7,3]=>[1,5,4,8,3,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,4,6,2,7,3]=>[4,8,1,5,3,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,5,6,2,7,3]=>[5,8,1,4,3,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,5,6,2,7,4]=>[6,8,1,4,3,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,5,6,3,7,4]=>[7,8,1,4,3,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,7,4,8,5,6,3]=>[7,8,2,5,1,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,7,4,8,5,6,2]=>[6,8,2,5,1,4,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,3,8,5,6,2]=>[5,8,2,6,1,4,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,1,7,3,6,2]=>[1,5,4,8,2,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,6,2,8,4,5,1]=>[2,6,3,7,1,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,5,6,1,3,4,2]=>[2,1,4,3,8,6,5,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,1,3,6,2,5,4]=>[2,1,8,6,3,7,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,1,4,7,2,5,8]=>[6,3,8,5,2,7,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,1,2,5,7,3,8]=>[5,3,8,7,4,2,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,8,2,5,7,3,6]=>[8,5,1,7,4,2,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,2,4,5,6,1,3]=>[2,1,7,5,4,3,8,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,8,1,5,4,6,3,2]=>[2,1,8,4,5,3,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,2,1,6,3,4,5]=>[2,1,7,8,3,6,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,3,5,6,4,1,2]=>[2,1,6,4,3,5,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,5,1,4,2,6,3]=>[2,1,4,8,5,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,5,3,1,6,2]=>[2,1,5,4,6,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,8,4,3,2,7,6]=>[8,4,1,5,6,7,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,1,4,3,2,7,8]=>[4,3,8,5,6,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,4,8,3,7,1,5]=>[7,3,5,1,6,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,6,8,3,7,5,2]=>[8,5,3,1,6,2,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,8,1,4,7,6,3]=>[7,4,1,8,5,2,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,8,4,7,6,1,2]=>[6,4,1,5,2,3,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,4,7,3,8,5]=>[8,3,7,5,2,6,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,1,4,7,8,3]=>[4,3,7,8,5,2,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,2,5,3,1,8,7]=>[5,3,7,4,6,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,5,1,3,6,8,2]=>[5,2,4,8,6,3,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,3,6,1,4,8,2]=>[4,2,6,3,8,5,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,6,7,2,1,8,4]=>[4,6,3,2,7,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,5,2,4,8,3]=>[3,8,2,4,7,5,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,4,7,2,5,3,8,6]=>[8,5,2,7,4,6,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,8,3,5,1,2]=>[5,3,2,1,6,4,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,7,5,8,2,4,3]=>[8,3,2,4,1,7,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,7,8,1,4,2]=>[6,4,3,2,1,8,5,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,6,5,7,8,2,1,4]=>[6,3,4,2,1,7,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,5,6,8,4,1,3]=>[7,2,4,3,1,5,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,8,4,5,3,7]=>[7,8,3,1,5,4,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,8,5,3,4,6]=>[7,2,8,1,4,6,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,6,8,5,4,1,2]=>[6,2,3,1,4,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,8,5,6,7,1,2]=>[5,6,1,4,3,2,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,8,5,4,6,7,2]=>[6,8,1,4,5,3,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,8,4,5,6,1,7]=>[6,7,1,5,4,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,7,1,5,2,6,8]=>[6,5,2,8,4,7,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,3,8,5,2,6,4]=>[8,2,6,1,4,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,3,6,2,5,7]=>[5,8,1,6,3,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,8,6,3,2,1,4]=>[4,2,1,3,6,7,8,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,7,8,6,1,3,4,2]=>[4,2,1,3,8,6,5,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,4,3,8,2,5,7]=>[8,3,5,6,1,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,4,8,2,6,5]=>[2,8,6,5,1,7,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,4,1,2,7,8]=>[6,3,4,5,8,7,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,4,5,1,7,8,6,3]=>[7,5,4,8,2,1,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,3,4,5,8,1,7]=>[7,3,6,5,4,1,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,3,6,4,8,5,1,2]=>[2,6,3,5,1,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,6,5,3,8,4,2]=>[2,8,3,4,6,1,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,5,6,3,8,1,4]=>[2,7,4,3,6,1,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,7,3,1,4,8]=>[4,3,7,2,6,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,6,4,1,8,3,2]=>[4,2,3,5,8,1,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,7,1,5,2,8,3,4]=>[3,2,8,4,7,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,2,8,3,4,7]=>[3,8,4,7,1,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,5,3,8,4,1,2]=>[3,2,4,6,1,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,5,4,2,3,8,7]=>[8,3,4,5,7,6,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,5,4,3,1,8,2]=>[3,2,4,5,6,8,1,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,4,6,1,2,5,3,8]=>[2,5,3,8,7,4,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,4,2,5,3,6,8]=>[2,8,5,7,4,6,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,1,4,2,5,7,3]=>[3,1,8,5,7,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,2,5,7,3,8]=>[8,3,5,7,4,2,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,3,7,5,4,2,8]=>[8,3,6,2,4,5,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,1,3,7,5,4,2]=>[3,1,8,6,2,4,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,3,5,6,4,2,8]=>[2,8,6,4,3,5,7,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,4,6,3,1,5,2,8]=>[2,5,3,6,8,4,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,4,1,5,3,6,8]=>[2,7,5,8,4,6,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,3,5,4,1,6,8]=>[2,7,6,4,5,8,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,1,2,3,4,7,5]=>[3,1,8,7,6,5,2,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,5,7,2,3,8,6,4]=>[8,4,2,7,6,1,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,8,2,3,6,7,4]=>[4,8,1,7,6,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,2,3,7,6,4,1]=>[4,1,7,6,2,3,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,8,1,3,7,4,5]=>[3,7,1,8,6,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,2,3,5,4,7,1]=>[3,1,7,6,4,5,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,4,1,5,7,3]=>[3,1,7,5,8,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,3,1,2,4,7,5]=>[3,1,6,8,7,5,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,4,1,5,7,3,8]=>[7,3,5,8,4,2,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,3,5,7,1,4,8]=>[7,3,6,4,2,8,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,7,8,3,6,4]=>[7,4,8,2,1,6,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,6,8,4,7,1]=>[7,4,6,3,1,5,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,7,8,5,6,3]=>[7,8,5,2,1,4,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,6,8,5,1,3]=>[7,5,2,3,1,4,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,7,6,1,8,4]=>[7,4,6,2,3,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,7,8,1,4,6,3]=>[7,4,2,1,8,5,3,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,7,4,1,6,2,8]=>[6,4,2,5,8,3,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,4,1,8,6,7,2]=>[4,6,5,8,1,3,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,8,4,6,1,7,3]=>[4,7,1,5,3,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,8,6,5,3,7,1]=>[5,7,1,3,4,6,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,2,8,5,7,6,3,1]=>[5,7,1,4,2,3,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,4,2,7,5,8,6,3]=>[8,5,7,2,4,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,8,6,7,5,3,2]=>[5,8,1,3,2,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,3,8,7,6,2,4,1]=>[4,6,1,2,3,7,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,4,7,6,2,1,3]=>[4,1,5,2,3,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,7,4,3,6,1,2]=>[4,1,2,5,6,3,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,8,3,1,7,2,5]=>[3,5,1,6,8,2,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,8,7,2,5,1,4]=>[3,6,1,2,7,4,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,3,8,6,7,2,4]=>[4,8,6,1,3,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,3,7,8,6,2,4]=>[8,4,6,2,1,3,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,6,4,2,8,3]=>[8,4,2,3,5,7,1,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,8,7,4,1,6,2,3]=>[4,1,2,5,8,3,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,8,1,2,7,3,5]=>[3,5,1,8,7,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,5,1,2,3,7,4]=>[3,1,4,8,7,6,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,5,2,4,3,7,1]=>[3,1,4,7,5,6,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,5,3,1,2,7,4]=>[3,1,4,6,8,7,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,5,1,2,7,6,3,8]=>[5,4,8,7,2,3,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,2,6,8,7,3]=>[5,4,8,7,3,1,2,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,5,6,1,8,4,7,2]=>[6,4,3,8,1,5,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,1,2,8,6,4]=>[6,4,2,8,7,1,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,2,7,5,1,4,8]=>[6,3,7,2,4,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,1,2,7,5,8]=>[5,3,6,8,7,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,3,1,7,6,2,8]=>[5,4,6,8,2,3,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,7,1,6,3,8]=>[5,7,4,2,8,3,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,7,8,1,6,4]=>[6,4,7,2,1,8,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,7,5,6,2,8]=>[6,8,5,2,4,3,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,6,5,8,7,1,2]=>[6,5,3,4,1,2,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,4,5,8,6,7,2]=>[6,8,5,4,1,3,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,8,5,2,7,1]=>[6,5,3,1,4,7,2,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,6,2,8,4,7,1]=>[6,4,3,7,1,5,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,6,1,8,7,3]=>[5,7,4,3,8,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,3,1,6,8,7,2]=>[5,4,6,8,3,1,2,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,1,7,5,8,6,4,3]=>[7,8,2,4,1,3,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,1,2,7,3,8,6,5]=>[5,8,7,2,6,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,3,7,5,2,4,8]=>[3,8,6,2,4,7,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,2,6,8,5,4,7]=>[6,8,7,3,1,4,5,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,1,2,5,4,8,6]=>[6,2,8,7,4,5,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,1,7,8,6,5,3]=>[7,5,8,2,1,3,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,7,5,1,8,6,2]=>[6,5,2,4,8,1,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,4,1,5,8,6,3]=>[7,2,5,8,4,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,7,1,5,8,6,4]=>[7,6,2,8,4,1,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,8,1,3,7,4,6]=>[4,7,1,8,6,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,1,6,8,3,4,7,5]=>[7,8,3,1,6,5,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,8,3,1,5,7,4]=>[7,3,1,6,8,4,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,8,6,4,1,5,7,3]=>[7,1,3,5,8,4,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,6,4,8,5,1,7,2]=>[6,3,5,1,4,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,4,5,1,8,2]=>[3,6,2,5,4,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,3,7,5,8,1,4]=>[7,3,6,2,4,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,2,3,6,8,1,5]=>[5,2,7,6,3,1,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,7,3,6,8,1,4]=>[4,7,2,6,3,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,4,6,2,8,1,3]=>[4,2,5,3,7,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,4,6,1,8,2]=>[4,2,6,5,3,8,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,4,6,1,7,2]=>[4,6,1,5,3,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,3,5,1,6,7,4]=>[1,7,6,4,8,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,8,3,6,7,1,5]=>[5,7,1,6,3,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,8,1,7,3,5,6]=>[7,5,1,8,2,6,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,3,1,7,2,5,6]=>[5,1,6,8,2,7,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,8,4,7,1,6,3]=>[4,7,1,5,2,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,4,7,3,1,6,2]=>[4,1,5,2,6,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,8,3,1,7,5,2]=>[5,3,1,6,8,2,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,3,8,2,7,1,5,4]=>[3,6,1,7,2,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,8,1,2,6,4,7]=>[4,6,1,8,7,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,4,1,6,2,3,8]=>[4,2,5,8,3,7,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,8,4,2,7,3,6]=>[4,8,1,5,7,2,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,5,3,1,7,4,2]=>[3,1,4,6,8,2,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,4,5,1,2,6,3,7]=>[1,5,4,8,7,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,3,7,2,8,4,5]=>[8,3,6,2,7,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,7,8,3,1,6,2]=>[5,4,2,1,6,8,3,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,7,2,5,8,1,6,3]=>[5,2,7,4,1,8,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,3,4,6,2,5,7]=>[1,8,6,5,3,7,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,8,2,4,6,7,1,5]=>[6,1,7,5,3,2,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,6,8,2,7,1,4]=>[6,4,3,1,7,2,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,5,6,8,1,7,3]=>[7,5,4,3,1,8,2,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,8,3,5,6,1,7,2]=>[5,1,6,4,3,8,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,3,7,8,1,4]=>[4,3,7,6,2,1,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,8,7,3,4,1,2,6]=>[4,1,2,6,5,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,7,3,4,1,2,5]=>[3,1,2,6,5,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,4,7,1,5,3,2]=>[3,1,5,2,8,4,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,4,7,2,5,3,1]=>[3,1,5,2,7,4,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,8,7,2,6,3,1]=>[4,5,1,2,7,3,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,4,8,7,1,6,3,2]=>[4,5,1,2,8,3,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,3,8,7,6,1,2,4]=>[4,6,1,2,3,8,7,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,3,8,7,6,1,2,5]=>[5,6,1,2,3,8,7,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,8,3,7,5,1,2,6]=>[5,1,6,2,4,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,4,6,5,1,2,7]=>[1,6,5,3,4,8,7,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,4,7,5,1,2,6]=>[6,1,5,2,4,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,8,7,6,1,2,5]=>[6,5,1,2,3,8,7,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,5,8,7,6,1,2,4]=>[6,4,1,2,3,8,7,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,5,8,7,6,1,2,3]=>[5,4,1,2,3,8,7,6]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,5,8,7,1,6,3,2]=>[5,4,1,2,8,3,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,8,7,2,6,3,1]=>[5,4,1,2,7,3,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,8,2,7,6,4,1]=>[6,4,1,7,2,3,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,8,1,7,6,4,2]=>[6,4,1,8,2,3,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,8,1,7,6,4,3]=>[7,4,1,8,2,3,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,8,7,1,6,3,4]=>[7,4,1,2,8,3,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,8,7,1,6,3,5]=>[7,5,1,2,8,3,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,4,7,1,5,3,6]=>[7,1,5,2,8,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,4,6,1,5,3,7]=>[1,7,5,3,8,4,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,6,2,5,3,7]=>[1,8,5,3,7,4,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,7,2,5,3,6]=>[8,1,5,2,7,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,8,7,2,6,3,5]=>[8,5,1,2,7,3,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,8,2,7,6,4,3]=>[8,4,1,7,2,3,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,8,3,7,6,4,1]=>[7,4,1,6,2,3,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,2,8,7,6,5,3]=>[8,5,7,1,2,3,4,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,3,2,6,5,4,7]=>[1,8,6,7,3,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,3,1,6,5,4,7]=>[1,7,6,8,3,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,3,1,7,5,4,6]=>[7,1,6,8,2,4,5,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,8,1,7,6,4,5]=>[7,6,1,8,2,3,5,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,8,7,6,5,2]=>[6,5,8,1,2,3,4,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,8,2,1,7,5,4,6]=>[6,1,7,8,2,4,5,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,7,1,6,3,5]=>[5,7,1,2,8,3,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,8,7,1,6,3,4]=>[4,7,1,2,8,3,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,8,1,7,6,4,3]=>[4,7,1,8,2,3,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,3,8,1,7,6,4,2]=>[4,6,1,8,2,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,3,8,2,7,6,4,1]=>[4,6,1,7,2,3,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,8,3,2,7,5,4,1]=>[3,1,6,7,2,4,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,3,1,7,5,4,2]=>[3,1,6,8,2,4,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,2,1,7,5,4,3]=>[3,1,7,8,2,4,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,2,7,1,5,3,4]=>[3,1,7,2,8,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,7,2,1,4,3,5]=>[3,1,2,7,8,5,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,5,6,1,2,4,3,7]=>[1,4,3,8,7,5,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,7,1,2,4,3,6]=>[4,1,2,8,7,5,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,1,2,7,5,4,3]=>[3,1,8,7,2,4,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,8,2,3,7,5,4,1]=>[3,1,7,6,2,4,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,2,8,3,7,6,4,1]=>[4,7,1,6,2,3,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,1,8,3,7,6,4,2]=>[4,8,1,6,2,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,1,8,7,2,6,3,4]=>[4,8,1,2,7,3,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,8,7,2,6,3,5]=>[5,8,1,2,7,3,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,1,7,2,5,3,6]=>[5,1,8,2,7,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,1,2,7,5,4,6]=>[6,1,8,7,2,4,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,8,2,7,6,4,5]=>[6,8,1,7,2,3,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,2,8,7,6,5,4]=>[6,8,7,1,2,3,4,5]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,1,3,8,7,6,5,2]=>[5,8,6,1,2,3,4,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,1,4,8,7,6,5,2]=>[6,8,5,1,2,3,4,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,1,8,3,7,6,4,5]=>[7,8,1,6,2,3,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,1,3,7,5,4,6]=>[7,1,8,6,2,4,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,2,3,6,5,4,7]=>[1,8,7,6,3,4,5,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,6,8,2,5,7]=>[8,5,6,3,1,7,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,6,2,5,8,4,7]=>[6,8,3,7,4,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,1,8,2,4,7,6]=>[6,4,8,1,7,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,5,2,8,3,7,6]=>[8,5,4,7,1,6,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,2,6,8,3,7]=>[8,4,5,7,3,1,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,6,5,8,2,4,7]=>[6,8,3,4,1,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,6,4,8,3,7]=>[8,4,7,3,5,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,5,4,7,3,8,6]=>[8,7,4,5,2,6,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,6,3,8,7,5]=>[5,8,7,3,6,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,5,4,2,8,3,6]=>[2,8,4,5,7,1,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,7,5,2,8,3,6]=>[8,5,2,4,7,1,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,3,5,2,8,4,6]=>[2,8,6,4,7,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,1,8,3,4,6]=>[2,7,4,8,1,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,4,5,2,8,7,3,6]=>[8,5,4,7,1,2,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,8,3,7,6,5]=>[8,5,7,1,6,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,5,3,8,7,6,4]=>[8,7,4,6,1,2,3,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,8,6,5,3,7,4]=>[8,7,1,3,4,6,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,5,2,8,6,3,7,4]=>[8,4,7,1,3,6,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,4,2,8,7,3,5]=>[8,3,5,7,1,2,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,6,4,2,8,3,5]=>[8,2,3,5,7,1,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,5,2,6,3,8,4]=>[8,2,4,7,3,6,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,7,6,5,3,8,4]=>[8,7,2,3,4,6,1,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,6,5,3,8,7,4]=>[8,7,3,4,6,1,2,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,2,6,3,8,7,4]=>[8,4,7,3,6,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,2,7,6,3,8,4]=>[8,4,7,2,3,6,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,5,2,7,3,8,4]=>[8,3,4,7,2,6,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,1,2,8,6,3,7,5]=>[5,8,7,1,3,6,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,6,2,4,7,5]=>[6,8,1,3,7,5,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,3,7,1,8,2,5,6]=>[5,6,2,8,1,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,8,3,2,4,6,5]=>[2,8,1,6,7,5,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,8,7,3,2,4,6,5]=>[8,1,2,6,7,5,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,4,2,8,7,3,6,5]=>[8,5,7,1,2,6,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,4,2,8,3,6,5]=>[8,2,5,7,1,6,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,5,4,2,7,3,6]=>[1,8,4,5,7,2,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,8,5,2,7,3,6]=>[8,5,1,4,7,2,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,6,4,2,7,3,5]=>[8,1,3,5,7,2,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,5,2,6,3,7,4]=>[8,1,4,7,3,6,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,2,7,3,8,5,4]=>[8,3,7,2,6,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,2,8,5,3,6,4]=>[8,2,7,1,4,6,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,8,3,2,6,4,5]=>[2,8,1,6,7,3,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,7,3,2,6,4,5]=>[8,1,2,6,7,3,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,4,2,8,7,6,3,5]=>[8,5,7,1,2,3,6,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,2,8,7,5,3,6,4]=>[8,7,1,2,4,6,3,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,1,7,3,6,5,8,2]=>[5,8,2,6,3,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,7,6,2,4,3]=>[4,8,1,2,3,7,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,7,6,3,4,5,2]=>[1,8,2,3,6,5,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,7,8,6,2,4,1,3]=>[4,2,1,3,7,5,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,1,6,2,4,3,8]=>[4,2,8,3,7,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,5,3,7,6,2]=>[1,8,5,4,6,2,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,4,5,3,8,7,2]=>[3,8,5,4,6,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,4,5,3,7,8,2]=>[3,8,5,4,6,2,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,7,8,6,2,4,3]=>[4,8,2,1,3,7,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,4,8,3,5,7,2]=>[3,8,5,1,6,4,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,6,3,4,5,2]=>[2,8,1,3,6,5,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,4,5,3,8,6,2]=>[2,8,5,4,6,1,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,4,5,3,6,8,2]=>[2,8,5,4,6,3,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,4,5,3,6,7,2]=>[1,8,5,4,6,3,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,7,2,1,4,8]=>[3,6,4,2,7,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,5,8,2,1,7,4]=>[3,6,4,1,7,8,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,5,7,2,1,8,4]=>[3,6,4,2,7,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,5,7,3,6,1,2]=>[1,5,4,2,6,3,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,8,3,7,2,1]=>[3,5,4,1,6,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,7,6,2,4,1,3]=>[4,1,2,3,7,5,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,4,8,6,3,1,7,2]=>[4,5,1,3,6,8,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,1,6,2,4,3,7]=>[4,1,8,3,7,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,8,2,1,4,7]=>[3,6,4,1,7,8,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,4,1,8,6,5,7]=>[7,6,5,8,1,3,4,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,3,5,6,2,1,4,7]=>[1,6,4,3,7,8,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,8,5,1,4,7,6]=>[7,6,1,4,8,5,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,8,6,1,5,7,4]=>[7,6,1,3,8,4,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,8,6,7,1,3,5,4]=>[7,1,3,2,8,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,5,7,2,1,6,4]=>[1,6,4,2,7,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,8,5,6,1,7,4]=>[7,6,1,4,3,8,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,5,6,3,1,8,2]=>[2,5,4,3,6,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,5,6,3,1,7,2]=>[1,5,4,3,6,8,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,5,6,2,8,1,4]=>[2,6,4,3,7,1,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,5,8,2,1,6,4]=>[2,6,4,1,7,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,5,6,2,1,4,8]=>[2,6,4,3,7,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,6,5,1,3,4,8]=>[7,2,3,4,8,6,5,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,7,6,8,1,3,5,4]=>[7,2,3,1,8,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,6,5,8,3,1,4]=>[7,2,3,4,1,6,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,1,8,5,7,3]=>[7,3,5,8,1,4,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,3,8,5,7,4]=>[7,3,8,6,1,4,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,3,6,5,8,4]=>[7,2,8,6,3,4,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,6,8,4,3,1,5]=>[7,2,3,1,5,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,7,6,1,8,3,4,5]=>[7,2,3,8,1,6,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,6,1,4,3,5,8]=>[7,2,3,8,5,6,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,5,1,2,8,4,6]=>[2,6,4,8,7,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,1,6,3,4,2,5]=>[2,1,8,3,6,5,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,8,6,4,1,7,5]=>[7,6,1,3,5,8,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,8,6,7,4,3,1,5]=>[7,1,3,2,5,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,3,5,7,2,4,1,6]=>[1,6,4,2,7,5,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,4,1,8,7,5,6]=>[7,6,5,8,1,2,4,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,6,1,7,3,4,5]=>[7,1,3,8,2,6,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,8,1,6,4,7,5]=>[7,6,1,8,3,5,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,1,4,5,7,6]=>[7,6,1,8,5,4,2,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,6,1,4,3,5,7]=>[7,1,3,8,5,6,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,5,6,3,4,1,7,2]=>[1,4,3,6,5,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,6,5,4,2,3,8]=>[8,2,3,4,5,7,6,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,8,6,5,2,7,3,4]=>[8,1,3,4,7,2,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,5,4,1,3,6,2]=>[2,1,4,5,8,6,3,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,8,5,4,2,1,7,3]=>[3,1,4,5,7,8,2,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,6,2,4,1,7,3]=>[4,1,3,7,5,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,2,6,5,1,7,3]=>[5,1,7,3,4,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,8,6,5,1,7,4]=>[6,7,1,3,4,8,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,1,3,7,6,2,5,8]=>[5,8,6,2,3,7,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,7,3,6,2,4,8]=>[4,8,2,6,3,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,7,5,3,2,4,8]=>[3,8,2,4,6,7,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,1,6,5,2,4,3,8]=>[2,8,3,4,7,5,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,2,7,6,3,4,5,8]=>[8,7,2,3,6,5,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,8,2,4,7,3,5]=>[3,8,1,7,5,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,8,3,2,7,4,6]=>[4,8,1,6,7,2,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,3,8,2,7,5,6]=>[5,8,6,1,7,2,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,8,7,1,6,5,4]=>[6,7,1,2,8,3,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,2,7,1,6,5,3]=>[5,1,7,2,8,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,7,2,1,6,4,3]=>[4,1,2,7,8,3,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,8,7,1,3,5,4,2]=>[3,1,2,8,6,4,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,6,1,5,3,4,2]=>[2,1,3,8,4,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,7,2,6,5,3,4]=>[8,1,2,7,3,4,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,8,2,5,6,3,4]=>[8,2,1,7,4,3,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,6,7,1,4,5,3,2]=>[1,3,2,8,5,4,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,6,8,1,4,3,5,2]=>[2,3,1,8,5,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,3,2,1,7,4]=>[3,4,1,6,7,8,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,5,8,3,1,4,6,2]=>[2,4,1,6,8,5,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,5,7,3,1,6,4,2]=>[1,4,2,6,8,3,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,6,8,4,2,7,3,5]=>[8,3,1,5,7,2,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,4,8,2,7,3,6]=>[8,4,5,1,7,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,2,3,6,7,8]=>[8,4,5,7,6,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,6,1,3,4,2,7,8]=>[4,3,8,6,5,7,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,1,5,3,7,8]=>[5,3,7,8,4,6,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,6,1,5,4,7,8]=>[6,7,3,8,4,5,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,7,1,4,6,5,8]=>[6,7,2,8,5,3,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,2,1,3,6,5,8]=>[5,2,7,8,6,3,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,3,2,6,4,8]=>[4,2,8,6,7,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,2,4,5,3,8]=>[3,2,8,7,5,4,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,6,4,5,8]=>[8,2,7,6,3,5,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,1,2,3,5,6,4]=>[2,1,8,7,6,4,3,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,8,1,2,4,3,7,5]=>[3,1,8,7,5,6,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,3,2,4,7,6]=>[4,1,8,6,7,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,2,1,3,5,7,6]=>[5,1,7,8,6,4,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,8,1,4,5,7,6]=>[6,7,1,8,5,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,2,3,5,4,7,8]=>[3,8,7,6,4,5,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,3,4,6,5,8]=>[2,8,7,6,5,3,4,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,2,3,4,5,7,6]=>[1,8,7,6,5,4,2,3]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,4,5,1,8,3,2]=>[3,2,5,4,8,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,7,6,8,1,2,3]=>[4,5,2,3,1,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,4,5,7,1,2,6]=>[6,1,5,4,2,8,7,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,6,7,1,8,3,2]=>[5,4,3,2,8,1,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,6,2,7,4,8,1]=>[6,4,3,7,2,5,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,1,7,8,4,2]=>[6,4,3,8,2,1,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,6,1,8,7,4,3]=>[7,4,3,8,1,2,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,6,8,1,7,3,4]=>[7,4,3,1,8,2,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,2,4,5,1,6,3,7]=>[1,7,5,4,8,3,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,8,6,2,3,7,5]=>[8,5,1,3,7,6,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,6,2,8,4,7,3]=>[8,4,3,7,1,5,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,3,4,7,8,1]=>[7,4,3,6,5,2,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,2,6,8,5,7,3]=>[8,5,7,3,1,4,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,3,2,5,4,6,7]=>[1,8,6,7,4,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,3,1,5,6,4,7]=>[1,7,6,8,4,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,3,1,5,7,4,6]=>[7,1,6,8,4,2,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,6,8,7,5,3]=>[7,5,8,3,1,2,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,1,6,7,8,5,2]=>[6,5,8,3,2,1,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,2,6,4,8,1]=>[4,6,2,7,3,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,3,1,5,8,4,2]=>[3,2,6,8,4,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,2,1,8,5,4,3]=>[3,2,7,8,1,4,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,2,8,1,5,3,4]=>[3,2,7,1,8,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,8,2,1,4,3,5]=>[3,2,1,7,8,5,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,1,2,8,4,5,3]=>[3,2,8,7,1,5,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,3,4,8,5,2]=>[3,2,8,6,5,1,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,7,3,4,6,8,1]=>[4,7,2,6,5,3,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,7,3,4,8,6,2]=>[4,8,2,6,5,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,7,8,2,3,6,4]=>[4,8,2,1,7,6,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,8,7,2,3,6,5]=>[5,8,1,2,7,6,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,1,2,7,4,5,6]=>[6,1,8,7,2,5,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,7,5,8,6,2]=>[5,8,6,2,4,1,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,5,7,8,6,2]=>[6,8,5,4,2,1,3,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,8,3,4,7,6,5]=>[7,8,1,6,5,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,2,6,1,4,8,7,3]=>[4,7,3,8,5,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,2,6,4,1,8,7,3]=>[4,7,3,5,8,1,2,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,7,4,8,1,6,3]=>[4,7,2,5,1,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,7,4,8,6,1,3]=>[4,7,2,5,1,3,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,2,3,8,6,1,4]=>[4,2,7,6,1,3,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,2,3,8,1,6,4]=>[4,2,7,6,1,8,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,3,1,8,7,4]=>[4,3,7,6,8,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,2,1,3,8,7,4]=>[4,3,7,8,6,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,6,4,2,8,7,3]=>[4,8,3,5,7,1,2,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,1,3,2,8,7,4]=>[4,3,8,6,7,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,3,1,2,8,7,4]=>[4,3,6,8,7,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,3,2,1,8,7,4]=>[4,3,6,7,8,1,2,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,7,3,2,8,1,6,4]=>[4,2,6,7,1,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,2,8,6,1,4]=>[4,2,6,7,1,3,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,3,8,2,1,5,4]=>[3,2,6,1,7,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,3,8,1,2,5,4]=>[3,2,6,1,8,7,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,3,1,8,2,6,4]=>[4,2,6,8,1,7,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,3,8,2,6,4]=>[4,2,8,6,1,7,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,7,4,8,2,6,3]=>[4,8,2,5,1,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,7,4,8,3,6,2]=>[8,4,2,5,1,6,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,4,8,6,3,2]=>[8,4,2,5,1,3,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,1,7,4,8,6,2,3]=>[4,8,2,5,1,3,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,1,3,8,6,2,4]=>[4,2,8,6,1,3,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,3,8,1,5,2,4]=>[3,2,6,1,8,4,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,8,5,2,1,4]=>[3,2,6,1,4,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,8,3,1,4,2,5]=>[3,2,1,6,8,5,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,1,8,3,5,2,4]=>[3,2,8,1,6,4,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,8,4,5,2,3]=>[3,8,2,1,5,4,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,7,8,4,5,3,2]=>[8,3,2,1,5,4,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,7,8,4,3,5,2]=>[8,3,2,1,5,6,4,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,1,7,8,4,2,5,3]=>[3,8,2,1,5,7,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,1,8,3,2,5,4]=>[3,2,8,1,6,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,2,1,8,3,6,4]=>[4,2,7,8,1,6,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,8,1,3,5,4]=>[3,2,7,1,8,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,2,8,3,1,5,4]=>[3,2,7,1,6,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,2,8,3,5,1,4]=>[3,2,7,1,6,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,8,4,5,1,3]=>[3,7,2,1,5,4,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,8,4,1,5,3]=>[3,7,2,1,5,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,8,1,4,5,3]=>[3,7,2,1,8,5,4,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,7,1,8,4,6,3]=>[4,7,2,8,1,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,2,7,8,6,5,3]=>[5,8,7,2,1,3,4,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,7,8,1,5,4,3]=>[3,7,2,1,8,4,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,7,8,5,1,4,3]=>[3,7,2,1,4,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,8,5,4,1,3]=>[3,7,2,1,4,5,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,2,8,5,3,1,4]=>[3,2,7,1,4,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,2,1,8,6,3,4]=>[4,2,7,8,1,3,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,2,8,6,3,4]=>[4,2,8,7,1,3,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,7,2,8,6,4,3]=>[4,8,2,7,1,3,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,5,7,3,8,6,4,2]=>[8,4,2,6,1,3,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,7,8,3,5,4,2]=>[8,3,2,1,6,4,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,1,7,8,2,5,4,3]=>[3,8,2,1,7,4,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,1,8,2,5,3,4]=>[3,2,8,1,7,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,8,2,4,1,3,5]=>[3,2,1,7,5,8,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,8,2,4,3,1,5]=>[3,2,1,7,5,6,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,8,5,2,3,4]=>[3,2,8,1,4,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,7,8,5,2,4,3]=>[3,8,2,1,4,7,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,7,8,5,3,4,2]=>[8,3,2,1,4,6,5,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,1,7,8,5,4,2,3]=>[3,8,2,1,4,5,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,1,8,5,3,2,4]=>[3,2,8,1,4,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,8,4,1,3,2,5]=>[3,2,1,5,8,6,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,3,8,5,2,7,4,1]=>[3,6,1,4,7,2,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,3,4,5,8,7,2,1]=>[3,6,5,4,1,2,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,8,1,4,7,2,3,6]=>[4,1,8,5,2,7,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,1,4,8,7,3,2]=>[4,3,8,5,1,2,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,6,4,8,5,7,1,2]=>[6,3,5,1,4,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,8,6,3,7,2]=>[4,8,5,1,3,6,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,7,1,8,6,5,2]=>[6,5,2,8,1,3,4,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,3,8,4,2,7,1,5]=>[3,6,1,5,7,2,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,8,7,1,4,2,5]=>[6,3,1,2,8,5,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,7,1,6,8,2,4]=>[4,6,2,8,3,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,8,5,6,7,2,1]=>[5,6,1,4,3,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,8,1,7,6,2,4,3]=>[4,1,8,2,3,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,1,2,7,8,5,3]=>[5,3,8,7,2,1,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,6,4,2,8,7,5,1]=>[6,3,5,7,1,2,4,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,3,7,5,2,8,1,4]=>[3,6,2,4,7,1,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,1,4,8,3,2,6]=>[4,2,8,5,1,6,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,3,5,1,4,6,2]=>[2,1,6,4,8,5,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,1,4,6,7,2,3]=>[4,1,8,5,3,2,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,5,8,4,3,7,2,1]=>[3,4,1,5,6,2,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,3,7,4,2,8,5,1]=>[3,6,2,5,7,1,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,6,7,1,4,5,2]=>[6,1,3,2,8,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,8,7,4,1,2,6]=>[4,6,1,2,5,8,7,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,3,8,7,1,5,6,2]=>[5,6,1,2,8,4,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,6,1,2,5,7,4]=>[1,6,3,8,7,4,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,6,1,8,7,3,2,4]=>[4,3,8,1,2,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,6,3,4,7,5,1]=>[1,7,3,6,5,2,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,2,6,3,5,4,8,1]=>[2,7,3,6,4,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,4,3,5,8,1]=>[3,7,2,5,6,4,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,7,3,6,4,2,8,1]=>[4,2,6,3,5,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,6,4,5,2,8,1]=>[6,2,3,5,4,7,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,6,5,3,4,8,1]=>[7,2,3,4,6,5,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,6,5,2,8,3,4,7]=>[8,3,4,7,1,6,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,2,1,8,3,6]=>[4,2,5,7,8,1,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,3,4,8,2,7]=>[8,3,4,6,5,1,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,6,3,1,8,2,7]=>[4,5,3,6,8,1,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,5,8,4,2,7,3,1]=>[3,4,1,5,7,2,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,6,2,5,7,4,1]=>[6,1,3,7,4,2,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,3,1,7,2,5,4]=>[3,1,6,8,2,7,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,6,3,7,5,2,4]=>[8,1,3,6,2,4,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,6,3,2,5,4]=>[2,1,8,3,6,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,7,3,5,6,4]=>[7,1,8,2,6,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,1,3,7,2,6,5]=>[5,1,8,6,2,7,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,8,5,7,3,6,1]=>[5,7,1,4,2,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,6,8,3,2,4]=>[4,8,2,3,1,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,1,5,8,4,2,6]=>[6,2,8,4,1,5,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,3,1,8,4,2,5]=>[3,2,6,8,1,5,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,8,4,5,2,6]=>[8,2,6,1,5,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,8,5,3,4,6]=>[8,2,7,1,4,6,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,2,7,3,4,6,5]=>[1,8,7,2,6,5,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,2,8,3,5,4,6]=>[2,8,7,1,6,4,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,1,8,4,3,5]=>[2,7,3,8,1,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,6,1,7,3,5,4]=>[1,7,3,8,2,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,5,6,8,3,2,1]=>[5,2,4,3,1,6,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,1,8,3,7,6,2,4]=>[4,8,1,6,2,3,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,8,1,7,2,6,3]=>[4,5,1,8,2,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,8,3,2,6,4,1]=>[2,4,1,6,7,3,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,8,2,4,7,5,1]=>[6,3,1,7,5,2,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,3,8,2,6,4,1]=>[4,2,6,1,7,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,8,2,7,3,1]=>[4,5,3,1,7,2,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,8,7,3,4,1]=>[4,7,3,1,2,6,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,2,8,6,3,5,1]=>[5,2,7,1,3,6,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,8,1,7,2,5,4]=>[6,3,1,8,2,7,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,7,4,5,6,1]=>[7,6,1,2,5,4,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,2,8,6,4,3,5,1]=>[2,7,1,3,5,6,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,8,7,5,6,3,4]=>[7,8,1,2,4,3,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,7,6,3,5,4,1]=>[1,7,2,3,6,4,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,7,6,5,2,4,3]=>[1,8,2,3,4,7,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,8,6,5,3,2,4]=>[2,8,1,3,4,6,7,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,2,8,7,6,3,4,5]=>[8,7,1,2,3,6,5,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,8,3,7,6,2,4]=>[8,4,1,6,2,3,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,8,7,4,2,3]=>[4,8,3,1,2,5,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,4,7,5,3,2,1]=>[3,1,5,2,4,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,8,7,2,5,4,3,1]=>[3,1,2,7,4,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,8,7,6,4,5,2,1]=>[6,1,2,3,5,4,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,7,6,5,3,4,1]=>[7,1,2,3,4,6,5,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,8,7,6,5,4,2,3]=>[8,1,2,3,4,5,7,6]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [5,8,6,7,3,4,1,2]=>[4,1,3,2,6,5,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,6,7,3,5,1,2]=>[5,1,3,2,6,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,7,4,5,1,2]=>[6,1,3,2,5,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,7,4,5,1,3]=>[7,1,3,2,5,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,6,7,4,5,2,3]=>[8,1,3,2,5,4,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,7,4,6,2,3]=>[8,1,4,2,5,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,5,7,4,6,1,2]=>[6,1,4,2,5,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,5,7,3,6,1,2]=>[5,1,4,2,6,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,6,4,5,1,2]=>[2,1,6,3,5,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,7,4,5,1,2]=>[3,1,6,2,5,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,7,4,6,1,2]=>[4,1,6,2,5,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,8,5,6,1,2]=>[6,2,5,1,4,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,8,5,6,1,2]=>[5,2,6,1,4,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,2,8,5,6,1,3]=>[5,2,7,1,4,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,8,5,6,2,3]=>[5,2,8,1,4,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,8,5,6,1,4]=>[6,2,7,1,4,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,3,8,5,6,1,4]=>[7,2,6,1,4,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,4,8,5,6,1,3]=>[7,2,5,1,4,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,7,4,6,1,3]=>[4,1,7,2,5,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,7,4,5,1,3]=>[3,1,7,2,5,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,6,4,5,1,3]=>[2,1,7,3,5,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,6,4,5,2,3]=>[2,1,8,3,5,4,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,1,7,4,5,2,3]=>[3,1,8,2,5,4,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,7,4,6,2,3]=>[4,1,8,2,5,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,4,8,5,6,2,3]=>[8,2,5,1,4,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,5,6,1,7,3,4]=>[7,1,4,3,8,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,6,2,7,3,4]=>[8,1,4,3,7,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,8,4,6,2,5]=>[8,2,6,1,5,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,1,7,3,6,2,5]=>[5,1,8,2,6,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,7,3,6,2,4]=>[4,1,8,2,6,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,1,7,3,5,2,4]=>[3,1,8,2,6,4,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,6,3,5,1,4]=>[2,1,7,3,6,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,7,3,5,1,4]=>[3,1,7,2,6,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,7,3,6,1,4]=>[4,1,7,2,6,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,7,3,6,1,5]=>[5,1,7,2,6,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,3,8,4,6,1,5]=>[7,2,6,1,5,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,8,4,6,1,5]=>[6,2,7,1,5,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,8,4,6,2,5]=>[6,2,8,1,5,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,7,3,6,2,5]=>[8,1,5,2,6,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,7,3,6,1,5]=>[7,1,5,2,6,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,7,2,6,1,5]=>[6,1,5,2,7,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,5,7,2,6,1,3]=>[5,1,4,2,7,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,5,7,2,6,1,4]=>[6,1,4,2,7,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,5,7,3,6,1,4]=>[7,1,4,2,6,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,6,7,3,5,2,4]=>[8,1,3,2,6,4,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,7,3,5,1,4]=>[7,1,3,2,6,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,7,2,5,1,4]=>[6,1,3,2,7,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,6,7,2,5,1,3]=>[5,1,3,2,7,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,6,7,2,4,1,3]=>[4,1,3,2,7,5,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,7,1,4,2,3]=>[3,1,4,2,8,5,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,6,7,1,4,2,3]=>[4,1,3,2,8,5,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,6,7,1,5,2,3]=>[5,1,3,2,8,4,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,7,1,5,2,4]=>[6,1,3,2,8,4,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,8,6,7,3,4]=>[8,4,7,1,3,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,8,6,7,3,4]=>[7,4,8,1,3,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,8,5,7,3,4]=>[7,3,8,1,4,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,8,5,7,3,4]=>[8,3,7,1,4,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,5,7,1,6,2,4]=>[6,1,4,2,8,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,7,1,5,2,3]=>[3,1,5,2,8,4,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,6,1,5,2,3]=>[2,1,5,3,8,4,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,6,1,5,2,4]=>[2,1,6,3,8,4,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,7,1,5,2,4]=>[3,1,6,2,8,4,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,7,1,6,2,5]=>[5,1,6,2,8,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,7,1,6,2,5]=>[6,1,5,2,8,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,8,4,7,3,5]=>[8,3,7,1,5,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,8,4,7,3,5]=>[7,3,8,1,5,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,6,1,8,4,5]=>[6,2,7,3,8,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,6,2,8,4,5]=>[6,2,8,3,7,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,1,6,2,7,3,5]=>[5,1,8,3,7,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,6,2,7,3,4]=>[4,1,8,3,7,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,5,2,6,3,4]=>[2,1,8,4,7,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,5,1,6,3,4]=>[2,1,7,4,8,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,5,1,7,3,4]=>[3,1,7,4,8,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,6,1,7,3,4]=>[4,1,7,3,8,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,6,1,7,3,5]=>[5,1,7,3,8,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,6,2,8,4,5]=>[8,2,6,3,7,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,3,6,1,8,4,5]=>[7,2,6,3,8,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,4,8,3,5,1,2]=>[3,2,5,1,6,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,4,5,2,8,1,3]=>[3,2,5,4,7,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,4,6,2,3,1,8]=>[4,2,5,3,7,6,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,4,6,3,8,1,2]=>[4,2,5,3,6,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,4,8,3,6,1,2]=>[4,2,5,1,6,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,5,3,7,1,2]=>[3,1,5,4,6,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,6,3,7,1,2]=>[4,1,5,3,6,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,8,3,7,1,2]=>[4,3,5,1,6,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,7,2,4,1,8]=>[4,3,6,2,7,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,7,2,8,1,4]=>[4,3,6,2,7,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,8,2,7,1,4]=>[4,3,6,1,7,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,8,2,7,1,3]=>[4,3,5,1,7,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,6,2,7,1,3]=>[4,1,5,3,7,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,5,2,7,1,3]=>[3,1,5,4,7,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,5,2,6,1,3]=>[2,1,5,4,7,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,5,2,3,1,7]=>[3,1,5,4,7,6,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,6,2,3,1,7]=>[4,1,5,3,7,6,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,8,2,3,1,7]=>[4,3,5,1,7,6,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,8,2,4,1,7]=>[4,3,6,1,7,5,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,4,2,8,1,7]=>[4,3,6,5,7,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,5,2,7,1,8]=>[5,3,6,4,7,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,5,2,8,1,7]=>[5,3,6,4,7,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,8,2,5,1,7]=>[5,3,6,1,7,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,6,2,5,1,7]=>[5,1,6,3,7,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,6,2,4,1,7]=>[4,1,6,3,7,5,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,5,2,4,1,7]=>[3,1,6,4,7,5,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,5,2,4,1,6]=>[2,1,6,4,7,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,5,2,6,1,4]=>[2,1,6,4,7,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,6,2,7,1,4]=>[4,1,6,3,7,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,6,2,7,1,5]=>[5,1,6,3,7,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,8,2,7,1,5]=>[5,3,6,1,7,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,7,2,8,1,5]=>[5,3,6,2,7,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,6,2,5,1,8]=>[5,2,6,3,7,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,6,2,8,1,5]=>[5,2,6,3,7,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,8,2,6,1,5]=>[5,2,6,1,7,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,4,8,2,6,1,3]=>[4,2,5,1,7,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,6,2,8,1,4]=>[4,2,6,3,7,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,6,2,4,1,8]=>[4,2,6,3,7,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,5,2,4,1,8]=>[3,2,6,4,7,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,5,2,8,1,4]=>[3,2,6,4,7,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,4,8,2,5,1,3]=>[3,2,5,1,7,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,8,2,4,1,3]=>[3,2,4,1,7,5,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,7,2,3,1,4]=>[3,1,4,2,7,6,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,4,8,2,3,1,5]=>[3,2,5,1,7,6,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,8,2,4,1,5]=>[3,2,6,1,7,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,4,2,8,1,5]=>[3,2,6,5,7,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,4,2,6,1,8]=>[4,2,6,5,7,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,4,2,8,1,6]=>[4,2,6,5,7,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,4,8,2,3,1,6]=>[4,2,5,1,7,6,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,7,2,3,1,6]=>[4,1,5,2,7,6,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,7,2,3,1,5]=>[3,1,5,2,7,6,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,6,2,3,1,5]=>[2,1,5,3,7,6,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,6,2,4,1,5]=>[2,1,6,3,7,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,7,2,4,1,5]=>[3,1,6,2,7,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,7,2,4,1,6]=>[4,1,6,2,7,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,7,2,5,1,6]=>[5,1,6,2,7,4,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,8,2,5,1,6]=>[5,2,6,1,7,4,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,5,2,8,1,6]=>[5,2,6,4,7,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,5,2,6,1,8]=>[5,2,6,4,7,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,7,2,6,1,8]=>[5,4,6,2,7,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,7,2,8,1,6]=>[5,4,6,2,7,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,8,2,7,1,6]=>[5,4,6,1,7,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,5,2,7,1,6]=>[5,1,6,4,7,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,4,2,7,1,6]=>[4,1,6,5,7,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,4,2,7,1,5]=>[3,1,6,5,7,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,4,2,6,1,5]=>[2,1,6,5,7,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,4,2,5,1,7]=>[3,1,6,5,7,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,4,2,6,1,7]=>[4,1,6,5,7,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,5,2,6,1,7]=>[5,1,6,4,7,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,8,2,6,1,7]=>[5,4,6,1,7,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,6,2,8,1,7]=>[5,4,6,3,7,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,5,2,1,8,3,6]=>[5,2,4,7,8,1,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,5,2,1,7,6,3]=>[5,1,4,7,8,2,3,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,6,5,2,1,3,8,7]=>[5,3,4,7,8,6,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,6,4,2,3,1,8,7]=>[4,3,5,7,6,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,3,1,2,8,7]=>[3,5,4,6,8,7,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,6,1,3,2,8,7]=>[4,5,3,8,6,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,8,1,7,3,2,5]=>[5,3,1,8,2,6,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,1,6,3,5,2]=>[5,2,1,8,3,6,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,8,1,6,5,3,2]=>[2,5,1,8,3,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,4,8,1,3,7,6,2]=>[4,5,1,8,6,2,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,5,3,1,7,6,2]=>[1,5,4,6,8,2,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,4,7,1,3,8,2,6]=>[4,5,2,8,6,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,8,1,7,5,2,3]=>[3,5,1,8,2,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,8,7,2,1,3,4]=>[4,3,1,2,7,8,6,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [8,5,7,6,4,2,1,3]=>[1,4,2,3,5,7,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,4,6,3,7,2,1,5]=>[1,5,3,6,2,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,6,8,7,4,3,5]=>[7,8,3,1,2,5,6,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,7,8,6,4,5,3]=>[7,8,2,1,3,5,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,6,8,5,2,4,3,1]=>[2,3,1,4,7,5,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,7,8,6,2,3,1,4]=>[4,2,1,3,7,6,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [6,8,7,5,3,2,4,1]=>[3,1,2,4,6,7,5,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,4,2,3,7,6,1]=>[4,1,5,7,6,2,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,4,2,6,5,3,1]=>[2,1,5,7,3,4,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,7,2,6,3,5,1]=>[5,1,2,7,3,6,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,8,7,4,2,5]=>[6,3,8,1,2,5,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,1,8,6,4,5,2]=>[6,2,8,1,3,5,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,1,6,7,5,2,4]=>[6,1,8,3,2,4,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,1,6,8,2,5,4]=>[6,2,8,3,1,7,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,6,2,8,1,3,5]=>[5,2,3,7,1,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,4,2,8,1,5,3]=>[3,2,5,7,1,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,8,6,7,5,3,4]=>[7,8,1,3,2,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,6,7,3,1,2,4]=>[4,1,3,2,6,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,5,8,1,3,4,2]=>[3,2,4,1,8,6,5,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,7,6,8,3,5,4]=>[7,8,2,3,1,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,6,8,1,4,2,3]=>[2,4,3,1,8,5,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,3,7,4,6,5,2]=>[1,8,6,2,5,3,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,8,7,4,6,1,3]=>[4,7,1,2,5,3,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,5,4,8,3,1]=>[3,7,2,4,5,1,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,3,5,4,7,6,2]=>[1,8,6,4,5,2,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,5,4,3,8,7,2]=>[3,8,4,5,6,1,2,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,8,3,4,5,7,2]=>[3,8,1,6,5,4,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,5,3,4,8,6,2]=>[2,8,4,6,5,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,4,3,5,6,8,2]=>[2,8,5,6,4,3,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,3,4,5,6,7,2]=>[1,8,6,5,4,3,2,7]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,7,2,4,5,6,3,8]=>[8,2,7,5,4,3,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,4,7,2,5,6,1,3]=>[1,5,2,7,4,3,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,8,2,4,7,3,1]=>[3,4,1,7,5,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,2,1,4,8,3,7]=>[4,3,7,8,5,1,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,8,5,2,4,7]=>[6,3,8,1,4,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,2,6,3,5,4,7,8]=>[8,7,3,6,4,5,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,2,8,6,5,7]=>[6,5,8,7,1,3,4,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,1,6,3,2,4,7]=>[4,1,8,3,6,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,8,5,2,1,4,7]=>[3,6,1,4,7,8,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,8,2,6,1,5,7,4]=>[6,1,7,3,8,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,6,7,2,1,5,4]=>[6,1,3,2,7,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,6,4,2,1,7,3]=>[1,4,3,5,7,8,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,2,5,8,3,1,6,4]=>[2,7,4,1,6,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,5,6,3,2,4,8]=>[8,2,4,3,6,7,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,2,3,8,5,7,4]=>[3,8,7,6,1,4,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,3,6,5,8,4]=>[2,8,7,6,3,4,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,3,2,4,6,8]=>[8,4,2,6,7,5,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,2,7,3,1,8,4,6]=>[4,7,2,6,8,1,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,2,4,1,3,7,6]=>[4,1,7,5,8,6,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,1,6,3,2,7,5]=>[5,1,8,3,6,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,6,4,2,7,5]=>[6,8,1,3,5,7,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,6,7,4,3,2,5]=>[1,8,3,2,5,6,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,8,7,2,4,1,6]=>[6,4,1,2,7,5,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,1,3,8,7,5,6]=>[7,5,8,6,1,2,4,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,8,3,1,7,4,6]=>[7,4,1,6,8,2,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,1,3,6,4,7,5]=>[7,1,8,6,3,5,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,3,4,1,5,7]=>[3,1,7,6,5,8,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,8,3,2,4,6,7]=>[4,8,1,6,7,5,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,4,8,5,3,7]=>[8,3,7,5,1,4,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,4,7,5,3,8]=>[8,3,7,5,2,4,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,8,5,2,4,6]=>[8,2,6,1,4,7,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,3,2,8,6,4,5]=>[8,2,6,7,1,3,5,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,7,8,6,1,3]=>[5,7,4,2,1,3,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,1,8,5,6,4]=>[2,7,6,8,1,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,5,1,7,3,4,6]=>[1,7,4,8,2,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,8,3,5,1,7,4]=>[3,7,1,6,4,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,4,8,5,7,1,3]=>[3,7,5,1,4,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,6,4,8,5,7,2]=>[8,6,3,5,1,4,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,4,7,5,8,2]=>[8,6,3,5,2,4,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,7,5,8,1,3]=>[3,7,5,2,4,1,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,1,4,3,5,6]=>[2,1,7,8,5,6,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,3,1,6,8,4]=>[4,2,7,6,8,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,5,3,4,6,8,2]=>[8,2,4,6,5,3,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,2,5,4,6,7,1,3]=>[1,7,4,5,3,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,6,3,1,8,7,4]=>[4,7,3,6,8,1,2,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,6,4,3,1,7,5]=>[1,7,3,5,6,8,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,2,7,4,1,3,5,6]=>[1,7,2,5,8,6,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,4,2,3,5,6,8]=>[8,2,5,7,6,4,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,8,4,1,3,2,5,7]=>[3,1,5,8,6,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,7,4,3,2,5,6]=>[8,1,2,5,6,7,4,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,6,3,8,2,4,7,5]=>[8,3,6,1,7,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,8,1,2,7,4,6]=>[4,6,1,8,7,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,8,3,2,6,4,7]=>[4,8,1,6,7,3,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,3,1,2,6,4,8]=>[4,2,6,8,7,3,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,5,4,2,6,3,8]=>[8,2,4,5,7,3,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,5,8,2,4,6,3,7]=>[8,4,1,7,5,3,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,8,4,2,7,3,6]=>[8,4,1,5,7,2,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,1,2,8,4,7]=>[4,6,3,8,7,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,3,2,7,8,4,5]=>[8,3,6,7,2,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,4,5,3,8,6,2]=>[8,2,5,4,6,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,4,1,2,5,8,7]=>[3,6,5,8,7,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,5,2,6,8,1,7,3]=>[5,4,7,3,1,8,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,6,7,8,1,3]=>[5,7,4,3,2,1,8,6]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,6,7,1,8,4]=>[4,7,6,3,2,8,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,4,1,7,8,5]=>[3,7,6,5,8,2,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,1,4,5,8,6]=>[2,7,6,8,5,4,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,7,5,1,8,2,4,6]=>[6,2,4,8,1,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,2,8,7,3,6]=>[5,8,4,7,1,2,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,2,4,6,5,3,7]=>[1,8,7,5,3,4,6,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,2,5,4,6,3,7]=>[1,8,7,4,5,3,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,5,1,3,4,7]=>[1,7,3,4,8,6,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,1,2,6,4,5,3,7]=>[1,8,7,3,5,4,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,5,6,4,3,7]=>[1,8,7,4,3,5,6,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,2,6,5,4,3,7]=>[1,8,7,3,4,5,6,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,5,4,2,8,3,6]=>[8,2,4,5,7,1,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,1,4,8,2,7,3,6]=>[4,8,5,1,7,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,6,8,2,7,3,5]=>[8,5,3,1,7,2,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,1,4,7,2,8,3,6]=>[4,8,5,2,7,1,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,4,5,2,8,3,6]=>[8,2,5,4,7,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,5,1,2,8,4,6]=>[6,2,4,8,7,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,8,1,3,4,6]=>[4,2,7,1,8,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,8,7,1,3,4,6]=>[4,7,1,2,8,6,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,1,5,8,2,7,3,6]=>[5,8,4,1,7,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,6,2,8,7,3,5]=>[8,5,3,7,1,2,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,2,6,4,8,7,5]=>[6,8,7,3,5,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,7,6,3,4,8,5]=>[7,8,2,3,6,5,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,2,7,4,6,8,5]=>[6,8,7,2,5,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,7,2,6,8,3,5]=>[8,5,2,7,3,1,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [5,1,4,2,7,8,3,6]=>[4,8,5,7,2,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,2,7,6,8,3,5]=>[8,5,7,2,3,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,6,8,7,3,5]=>[8,5,7,3,1,2,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,2,8,4,6,7,5]=>[6,8,7,1,5,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,2,7,6,4,8,5]=>[6,8,7,2,3,5,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,7,1,8,2,4,6]=>[4,6,2,8,1,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,4,3,2,5,8,6]=>[8,2,5,6,7,4,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,8,7,2,1,3,5,6]=>[5,1,2,7,8,6,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,8,7,3,4,2,5,6]=>[8,1,2,6,5,7,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,7,8,2,6,4,5]=>[6,8,2,1,7,3,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,7,8,3,6,5]=>[8,5,7,2,1,6,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,1,3,4,7,6]=>[4,7,1,8,6,5,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,8,6,3,4,7,5]=>[7,8,1,3,6,5,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,4,2,6,8,3,7,5]=>[8,5,7,3,1,6,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,3,7,8,5,6,4]=>[8,7,6,2,1,4,3,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,2,7,3,8,6,5]=>[8,5,7,2,6,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,7,2,8,6,4,5]=>[6,8,2,7,1,3,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,7,8,3,4,6,5]=>[7,8,2,1,6,5,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,7,8,5,6,2,1,3]=>[5,2,1,4,3,7,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,8,4,2,6,1,3]=>[4,2,1,5,7,3,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,8,4,2,5,1,3]=>[3,2,1,5,7,4,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,8,3,2,1,5,4]=>[3,2,1,6,7,8,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,8,3,2,1,6,4]=>[4,2,1,6,7,8,3,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,8,4,3,5,6,1]=>[7,2,1,5,6,4,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,8,4,2,5,1,6]=>[6,2,1,5,7,4,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,8,3,2,1,5,6]=>[5,2,1,6,7,8,4,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,8,3,2,1,4,6]=>[4,2,1,6,7,8,5,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,3,8,2,1,4,7]=>[4,3,6,1,7,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,4,8,2,5,1,7]=>[6,3,5,1,7,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,8,3,5,7,1]=>[7,3,5,1,6,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,4,7,3,5,8,1]=>[7,3,5,2,6,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,4,7,2,5,1,8]=>[6,3,5,2,7,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,7,2,1,5,8]=>[5,3,6,2,7,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,3,7,2,1,4,8]=>[4,3,6,2,7,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,3,2,7,1,6,8]=>[5,4,6,7,2,8,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,4,2,8,6,1,7]=>[6,4,5,7,1,3,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,8,2,1,7,4]=>[4,3,6,1,7,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,5,8,7,2,1,3]=>[5,3,4,1,2,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,6,5,7,8,3,4,1]=>[7,3,4,2,1,6,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,7,2,1,8,4]=>[4,3,6,2,7,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,4,7,2,8,1,5]=>[6,3,5,2,7,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,7,3,8,5,1]=>[7,3,5,2,6,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,4,2,7,8,1,6]=>[6,4,5,7,2,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,3,2,7,1,8,6]=>[5,4,6,7,2,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,4,2,6,8,1,7]=>[6,4,5,7,3,1,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,4,8,5,1,7]=>[6,7,3,5,1,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,5,8,4,6,1,7]=>[6,7,4,1,5,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,4,1,7,6,8]=>[6,4,7,5,8,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,3,8,1,6,7]=>[5,7,4,6,1,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,5,8,3,1,6,7]=>[5,7,4,1,6,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,5,4,2,8,6,7]=>[6,8,4,5,7,1,3,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,5,3,8,2,6,7]=>[5,8,4,6,1,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,5,8,3,2,6,7]=>[5,8,4,1,6,7,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,8,5,2,1,6,7]=>[5,6,1,4,7,8,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,7,3,5,2,1,6,8]=>[5,2,6,4,7,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,6,2,5,1,7,8]=>[5,6,3,7,4,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,2,5,1,7,8]=>[5,3,6,7,4,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,1,3,2,5,8]=>[5,3,2,8,6,7,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,7,3,2,6,8]=>[5,4,8,2,6,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,1,4,3,7,8,6]=>[7,4,8,5,6,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,1,5,2,7,8]=>[5,6,3,8,4,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,6,1,7,2,5,8]=>[5,6,3,8,2,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,4,1,2,7,5,8]=>[3,6,5,8,7,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,4,1,3,7,8,5]=>[3,7,5,8,6,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,4,1,2,7,5,8]=>[6,3,5,8,7,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,3,1,7,2,5,8]=>[5,3,6,8,2,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,7,1,3,4,8]=>[4,3,7,2,8,6,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,2,7,3,1,6,8]=>[5,4,7,2,6,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,2,1,7,3,5,8]=>[5,3,7,8,2,6,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,6,1,4,7,5,8]=>[6,7,3,8,5,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,7,2,4,5,1,8]=>[6,3,2,7,5,4,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,7,4,6,1,8]=>[6,4,7,2,5,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,4,8,5,1,6]=>[6,2,7,5,1,4,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,6,1,5,7,4,8]=>[6,7,3,8,4,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,2,1,5,7,4,8]=>[6,3,7,8,4,2,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,5,1,3,7,8,4]=>[3,7,4,8,6,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,3,5,1,2,7,4,8]=>[3,6,4,8,7,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,5,1,7,2,3,8]=>[3,5,4,8,2,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,6,5,1,7,2,3,8]=>[5,3,4,8,2,7,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,5,1,2,7,4,8]=>[6,3,4,8,7,2,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,1,8,5,4,7,6]=>[7,6,8,1,4,5,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,1,5,8,3,7,6]=>[7,5,8,4,1,6,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,5,3,8,7,6]=>[7,5,8,4,6,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,5,1,2,8,7,6]=>[6,5,4,8,7,1,2,3]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,5,1,8,2,7,6]=>[6,5,4,8,1,7,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,5,3,2,7,6]=>[8,1,5,4,6,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,8,5,3,1,7,6]=>[7,5,1,4,6,8,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,4,5,8,2,1,7,6]=>[6,5,4,1,7,8,2,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,5,2,8,1,7,6]=>[6,5,4,7,1,8,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,2,1,7,8,5]=>[6,5,3,7,8,2,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,6,2,1,7,5,8]=>[6,5,3,7,8,2,4,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,6,2,7,1,4,8]=>[6,4,3,7,2,8,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,6,2,7,1,8,4]=>[6,4,3,7,2,8,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,2,7,8,1,4]=>[6,4,3,7,2,1,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,2,8,7,1,5]=>[6,5,3,7,1,2,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,6,8,2,7,1,5]=>[6,5,3,1,7,2,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,8,6,3,7,1,5]=>[7,5,1,3,6,2,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,4,6,3,7,2,5]=>[8,1,5,3,6,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,6,3,7,5,2]=>[8,1,5,3,6,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,6,8,2,7,5,1]=>[6,5,3,1,7,2,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,6,2,8,7,5,1]=>[6,5,3,7,1,2,4,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,6,2,7,8,4,1]=>[6,4,3,7,2,1,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,6,2,7,4,1,8]=>[6,4,3,7,2,5,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,6,7,2,8,3,1]=>[5,4,3,2,7,1,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,6,8,7,2,4,1]=>[6,4,3,1,2,7,5,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,8,6,7,3,4,1]=>[7,4,1,3,2,6,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,6,7,3,4,2]=>[8,1,4,3,2,6,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,6,7,3,2,4]=>[8,1,4,3,2,6,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,8,6,7,3,1,4]=>[7,4,1,3,2,6,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,8,7,2,1,4]=>[6,4,3,1,2,7,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,5,6,7,2,1,8,3]=>[5,4,3,2,7,8,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,6,1,8,7,2,5]=>[6,5,3,8,1,2,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,6,8,7,3,5]=>[7,5,8,3,1,2,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,8,6,7,4,5]=>[7,6,8,1,3,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,2,6,7,5,4]=>[8,1,6,7,3,2,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,1,6,7,8,4,3]=>[7,4,8,3,2,1,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,5,1,6,7,4,8,3]=>[7,4,8,3,2,5,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,6,7,4,3,8]=>[7,4,8,3,2,5,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,1,7,4,2,8]=>[6,4,3,8,2,5,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,1,7,4,8,2]=>[6,4,3,8,2,5,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,1,8,7,5,2]=>[6,5,3,8,1,2,4,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,6,8,1,7,5,2]=>[6,5,3,1,8,2,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,8,6,1,7,5,3]=>[7,5,1,3,8,2,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,8,4,6,2,7,5,3]=>[8,1,5,3,7,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,5,6,7,2,4,3]=>[8,1,4,3,2,7,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,6,7,1,4,3]=>[7,4,1,3,2,8,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,8,7,1,4,2]=>[6,4,3,1,2,8,5,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,6,7,8,1,3,2]=>[5,4,3,2,1,8,6,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,5,6,7,1,3,8,2]=>[5,4,3,2,8,6,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,6,7,1,3,2,8]=>[5,4,3,2,8,6,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,6,7,3,1,8,2]=>[5,4,3,2,6,8,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,6,8,7,4,1,2]=>[6,4,3,1,2,5,8,7]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,8,6,7,4,1,3]=>[7,4,1,3,2,5,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,6,7,4,2,3]=>[8,1,4,3,2,5,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,6,7,4,3,2]=>[8,1,4,3,2,5,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,5,8,6,7,4,3,1]=>[7,4,1,3,2,5,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [8,2,5,3,7,1,6,4]=>[1,7,4,6,2,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,3,7,1,6,5]=>[1,7,5,6,2,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,2,4,3,7,1,6]=>[4,1,7,5,6,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,6,1,8,3,7]=>[5,7,4,3,8,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,6,1,7,3,8]=>[5,7,4,3,8,2,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,7,3,2,4,8]=>[3,8,4,2,6,7,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,5,8,3,2,4,7]=>[3,8,4,1,6,7,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,2,4,7,1,5,6]=>[6,1,7,5,2,8,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,8,2,4,7,1,5]=>[6,3,1,7,5,2,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,6,7,1,8,2]=>[5,6,4,3,2,8,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,5,6,8,2,4]=>[6,2,8,4,3,1,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,5,8,2,4,6]=>[6,2,8,4,1,7,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,1,7,4,6,8]=>[6,7,4,8,2,5,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,5,1,8,4,6,7]=>[6,7,4,8,1,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,5,1,7,8,4,6]=>[6,7,4,8,2,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,3,2,4,6,1,5]=>[2,1,6,7,5,3,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,5,7,8,3,2,4]=>[3,8,4,2,1,6,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,6,1,7,8,3]=>[5,7,4,3,8,2,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,6,1,8,3,4,2]=>[4,2,3,8,1,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,6,1,7,3,4,2]=>[4,1,3,8,2,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,8,7,3,2,4]=>[3,8,4,1,2,6,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,5,1,8,7,4,6]=>[6,7,4,8,1,2,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,5,1,6,4,7,8]=>[6,7,4,8,3,5,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,4,1,8,7,5,6]=>[6,7,5,8,1,2,4,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,5,1,6,8,7,4]=>[6,7,4,8,3,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,6,5,1,7,4,2]=>[6,1,3,4,8,2,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,7,6,5,1,8,4,2]=>[6,2,3,4,8,1,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,2,5,1,6,7,8,4]=>[6,7,4,8,3,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,2,4,1,8,5,6,7]=>[6,7,5,8,1,4,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,4,1,7,5,6,8]=>[6,7,5,8,2,4,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,4,1,6,8,5,7]=>[6,7,5,8,3,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,5,1,6,7,4,8]=>[6,7,4,8,3,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,6,1,7,3,5,2]=>[1,5,3,8,2,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,1,8,4,7,3]=>[4,7,3,8,1,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,5,1,7,6,4,8]=>[6,7,4,8,2,3,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,5,1,8,6,4,7]=>[6,7,4,8,1,3,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,6,1,8,5,7,3]=>[5,7,3,8,1,4,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,6,1,7,3,4,2]=>[1,4,3,8,2,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,6,8,5,1,7,4,2]=>[6,3,1,4,8,2,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,2,5,1,8,6,7,4]=>[6,7,4,8,1,3,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,4,1,8,6,5,7]=>[6,7,5,8,1,3,4,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,4,1,5,8,6,7]=>[6,7,5,8,4,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,5,1,7,8,6,4]=>[6,7,4,8,2,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,5,1,6,4,2,3]=>[2,1,4,8,3,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,1,7,6,4,2]=>[6,1,4,8,2,3,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,5,1,8,6,4,2]=>[6,2,4,8,1,3,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,2,5,1,8,7,6,4]=>[6,7,4,8,1,2,3,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,5,7,3,1,8,4,2]=>[3,4,2,6,8,1,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,3,7,1,8,5,2]=>[5,3,6,2,8,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,3,7,5,1,8,2]=>[5,3,6,2,4,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,1,7,5,3,8]=>[5,7,3,8,2,4,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,7,4,1,6,3,8]=>[7,4,2,5,8,3,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,7,4,1,6,8,3]=>[7,4,2,5,8,3,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,4,7,3,6,1,8,2]=>[4,5,2,6,3,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,7,8,3,1,6,2]=>[4,5,2,1,6,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,7,5,1,8,6,2]=>[5,6,2,4,8,1,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,8,4,3,6,1,7,2]=>[4,1,5,6,3,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,8,3,6,1,7,2]=>[4,5,1,6,3,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,4,6,1,7,3,8]=>[7,4,5,3,8,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,5,8,1,6,7,4]=>[6,7,4,1,8,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,4,6,8,1,7,3]=>[7,4,5,3,1,8,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,6,2,1,8,5,7,3]=>[5,3,7,8,1,4,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,7,5,8,6,3]=>[7,5,8,2,4,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,1,7,5,3,8,6]=>[7,5,8,2,4,6,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,8,2,1,6,3,7]=>[4,5,1,7,8,3,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,8,4,1,6,3,7]=>[7,4,1,5,8,3,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,5,6,1,8,4,7]=>[6,7,4,3,8,1,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,2,6,1,5,7]=>[5,1,6,7,3,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,8,1,6,4,7]=>[6,4,7,1,8,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,1,5,4,8,6]=>[6,7,2,8,4,5,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,7,1,5,8,6,4]=>[6,7,2,8,4,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,2,5,1,6,7,4]=>[6,1,7,4,8,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,3,2,6,7,1,5]=>[5,1,6,7,3,2,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,8,2,6,7,1,5]=>[5,6,1,7,3,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,7,2,6,8,1,5]=>[5,6,2,7,3,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,7,8,2,6,1,5]=>[5,6,2,1,7,3,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,7,4,8,1,6,3]=>[7,4,2,5,1,8,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,7,8,1,6,4]=>[6,7,4,2,1,8,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,7,1,6,8,4]=>[6,7,4,2,8,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,5,7,1,6,4,8]=>[6,7,4,2,8,3,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,1,7,8,5,3]=>[5,7,3,8,2,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,7,5,3,8,6,4]=>[7,8,2,4,6,1,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,5,2,1,7,4,6,8]=>[6,4,7,8,2,5,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,1,7,8,4,6]=>[6,4,7,8,2,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,4,2,1,7,3,6]=>[4,1,5,7,8,2,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,6,2,1,8,3,7,5]=>[5,3,7,8,1,6,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,7,3,8,6,5]=>[7,5,8,2,6,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,7,1,4,8,6,5]=>[6,7,2,8,5,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,5,8,2,1,7,4,6]=>[6,4,1,7,8,2,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,3,7,2,1,5,6]=>[5,1,6,2,7,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,7,2,8,1,5,6]=>[5,6,2,7,1,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,3,2,7,1,5,6]=>[5,1,6,7,2,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,2,1,5,6,7]=>[5,1,6,7,8,4,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,3,8,2,1,5,6,7]=>[5,6,1,7,8,4,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,2,3,1,5,4,8,7]=>[3,7,6,8,4,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,2,3,1,7,6]=>[1,5,4,7,6,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,2,5,3,4,1]=>[1,3,2,7,4,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,5,3,4,1,7,6]=>[1,7,4,6,5,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,5,3,4,1,8,7]=>[3,7,4,6,5,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,5,2,4,3,8,7]=>[3,8,4,7,5,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,5,1,3,2,8,7]=>[3,5,4,8,6,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,5,3,4,2,8,7]=>[3,8,4,6,5,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,5,1,4,2,8,7]=>[3,6,4,8,5,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,2,4,1,7,6]=>[1,6,4,7,5,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,5,6,2,4,1]=>[1,6,2,4,3,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,2,4,1,6,5]=>[1,6,2,7,5,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,1,4,2,7,6]=>[1,6,4,8,5,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,3,4,2,7,6]=>[1,8,4,6,5,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,1,3,2,7,6]=>[1,5,4,8,6,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,4,5,3,7,6]=>[7,8,1,5,4,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,4,5,1,3,2]=>[1,3,2,5,4,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,1,5,3,4,2]=>[1,3,2,8,4,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,3,5,1,4,2]=>[1,3,2,6,4,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,5,6,1,4,2]=>[1,6,2,4,3,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,3,6,1,4,2]=>[1,4,2,6,3,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,4,6,2,5,1]=>[1,6,2,5,3,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,4,6,1,5,2]=>[1,6,2,5,3,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,1,6,4,5,2]=>[1,6,2,8,3,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,3,6,4,5,2]=>[1,8,2,6,3,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,5,6,3,4,2]=>[1,8,2,4,3,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,5,6,1,3,2]=>[1,5,2,4,3,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,4,7,5,6,3]=>[7,8,1,5,2,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,3,4,2,6,5]=>[1,8,2,6,5,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,3,6,2,5,4]=>[1,8,2,6,3,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,1,6,2,5,4]=>[1,6,2,8,3,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,2,6,4,5,1]=>[1,6,2,7,3,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,3,6,4,5,1]=>[1,7,2,6,3,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,3,6,1,5,4]=>[1,7,2,6,3,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,1,6,3,5,4]=>[1,7,2,8,3,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,2,4,3,6,5]=>[1,8,2,7,5,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,3,2,7,4,6,5]=>[1,8,6,7,2,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,3,7,4,6,5]=>[7,8,1,6,2,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,2,4,3,7,6]=>[1,8,4,7,5,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,1,4,3,6,5]=>[1,7,2,8,5,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,3,4,1,6,5]=>[1,7,2,6,5,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,5,6,3,4,1]=>[1,7,2,4,3,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,5,6,2,3,1]=>[1,5,2,4,3,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,2,3,1,6,5]=>[1,5,2,7,6,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,3,1,7,4,6,5]=>[1,7,6,8,2,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,3,1,5,4,7,6]=>[1,7,6,8,4,5,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,3,1,8,5,7,6]=>[5,7,6,8,1,4,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,3,2,8,6,7,5]=>[5,8,6,7,1,3,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,2,3,1,5,4]=>[1,3,2,7,6,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,3,1,7,5,6,4]=>[1,7,6,8,2,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,2,6,3,4,1]=>[1,4,2,7,3,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,2,6,1,4,3]=>[1,4,2,7,3,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,5,6,1,4,3]=>[1,7,2,4,3,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,2,5,1,4,3]=>[1,3,2,7,4,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,1,5,2,4,3]=>[1,3,2,8,4,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,1,3,2,5,4]=>[1,3,2,8,6,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,6,7,3,5,4]=>[7,8,1,3,2,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,3,7,5,6,4]=>[7,8,1,6,2,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,3,2,7,5,6,4]=>[1,8,6,7,2,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,5,6,2,4,3]=>[1,8,2,4,3,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,2,6,4,5,3]=>[1,8,2,7,3,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,1,6,4,5,3]=>[1,7,2,8,3,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,4,6,1,5,3]=>[1,7,2,5,3,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,4,6,3,5,1]=>[1,7,2,5,3,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,2,6,3,5,1]=>[1,5,2,7,3,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,2,6,1,5,3]=>[1,5,2,7,3,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,1,6,2,5,3]=>[1,5,2,8,3,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,4,6,2,5,3]=>[1,8,2,5,3,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,1,6,2,4,3]=>[1,4,2,8,3,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,5,7,3,6,4]=>[7,8,1,4,2,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,4,6,1,3,2]=>[1,4,2,5,3,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,1,6,3,4,2]=>[1,4,2,8,3,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,4,6,3,5,2]=>[1,8,2,5,3,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,1,6,3,5,2]=>[1,5,2,8,3,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,3,6,1,5,2]=>[1,5,2,6,3,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,8,3,6,1,7,5]=>[7,5,1,6,3,8,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,8,1,3,2,7,4]=>[3,4,1,8,6,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,8,6,3,2,7,1]=>[5,4,1,3,6,7,2,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,5,8,7,3,1,2,4]=>[3,4,1,2,6,8,7,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,5,8,7,3,6,2,4]=>[8,4,1,2,6,3,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,2,8,4,6,5,3]=>[8,2,7,1,5,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,2,8,4,1,5,3]=>[3,2,7,1,5,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,2,8,4,5,7,1]=>[6,3,7,1,5,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,8,4,5,7,3]=>[7,3,8,1,5,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,4,6,1,5,7,3]=>[7,1,5,3,8,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,6,8,4,5,7,2]=>[6,8,3,1,5,4,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,6,8,4,5,7,1]=>[7,6,3,1,5,4,2,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,3,7,8,4,1,5,2]=>[3,6,2,1,5,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,7,8,4,6,5,2]=>[8,6,2,1,5,3,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,7,8,2,4,6,3]=>[8,4,2,1,7,5,3,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,1,7,8,2,4,6,3]=>[4,8,2,1,7,5,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,7,8,4,2,5,1]=>[6,3,2,1,5,7,4,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,8,7,3,2,1,4]=>[4,3,1,2,6,7,8,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,8,3,7,1,6,5,4]=>[7,1,6,2,8,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,8,7,3,6,1,4]=>[4,7,1,2,6,3,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,7,8,4,6,5,1]=>[6,7,2,1,5,3,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,7,8,1,4,6,3]=>[4,7,2,1,8,5,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,7,8,5,4,6,3]=>[8,7,2,1,4,5,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,2,5,8,3,4,6,1]=>[2,7,4,1,6,5,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,8,5,4,3,1,7]=>[3,7,1,4,5,6,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,8,3,5,4,1,6,7]=>[7,1,6,4,5,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,4,5,3,1,6,7]=>[7,1,5,4,6,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,8,5,2,3,1,7]=>[3,5,1,4,7,6,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,5,8,2,4,6,1]=>[2,6,4,1,7,5,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,2,1,8,5,6,7]=>[6,5,7,8,1,4,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,6,8,4,3,5,1]=>[7,2,3,1,5,6,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,1,8,3,4,6,2]=>[4,2,8,1,6,5,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,5,8,1,4,6,2]=>[6,2,4,1,8,5,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,5,8,3,4,6,2]=>[8,2,4,1,6,5,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,8,5,4,3,2,7]=>[8,3,1,4,5,6,7,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,6,8,5,1,3,2,7]=>[5,3,1,4,8,6,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,8,1,4,3,2,7]=>[4,3,1,8,5,6,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,8,6,3,4,2,1]=>[2,4,1,3,6,5,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,4,8,3,6,5,1,7]=>[7,5,1,6,3,4,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,1,5,6,3,7]=>[7,1,5,8,4,3,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,8,3,5,6,2,7]=>[5,8,1,6,4,3,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,8,4,1,3,2,7]=>[4,3,1,5,8,6,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,8,1,5,3,2,7]=>[5,3,1,8,4,6,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,4,5,3,2,7]=>[8,3,1,5,4,6,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,8,5,4,6,2]=>[8,2,6,1,4,5,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,1,8,5,4,6,2]=>[6,2,8,1,4,5,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,3,8,4,6,5,1]=>[7,2,6,1,5,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,3,8,4,6,5,2]=>[2,8,6,1,5,3,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,8,4,3,6,1,2]=>[4,2,1,5,6,3,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,7,4,1,6,5,3]=>[7,1,2,5,8,3,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,5,4,3,1,6,7]=>[7,1,4,5,6,8,3,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,5,8,4,2,3,1,7]=>[3,4,1,5,7,6,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,3,2,8,5,6,7]=>[5,8,6,7,1,4,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,4,3,2,8,5,6,7]=>[8,5,6,7,1,4,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,8,2,5,3,1,7]=>[3,5,1,7,4,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,4,3,5,1,6,7]=>[7,1,5,6,4,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,3,4,5,1,6,7]=>[7,1,6,5,4,8,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,8,4,5,3,1,7]=>[3,7,1,5,4,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,3,8,5,4,6,1]=>[2,7,6,1,4,5,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,3,1,8,5,6,7]=>[5,7,6,8,1,4,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,3,2,4,8,6,7]=>[4,8,6,7,5,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,1,5,3,4,7,6]=>[7,1,8,4,6,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,8,4,5,3,7,6]=>[8,7,1,5,4,6,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,8,5,3,6,7]=>[8,5,7,1,4,6,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,5,3,2,4,6,7]=>[1,8,4,6,7,5,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,8,1,5,2,4,6,7]=>[6,1,8,4,7,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,1,4,8,2,6,7]=>[6,4,8,5,1,7,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,8,4,3,6,7]=>[8,4,7,1,5,6,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,2,5,4,3,8,6,7]=>[8,7,4,5,6,1,3,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,4,8,5,3,7,6]=>[8,7,5,1,4,6,2,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,7,4,8,5,3,6]=>[8,7,2,5,1,4,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,7,8,4,3,6]=>[8,4,7,2,1,5,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,7,4,8,3,6]=>[4,8,7,2,5,1,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,5,1,4,7,2,6]=>[1,6,4,8,5,2,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,1,5,4,7,3,6]=>[7,1,8,4,5,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,8,5,7,4,3,6]=>[8,7,1,4,2,5,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,4,8,7,5,3,6]=>[8,7,5,1,2,4,6,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,8,1,4,3,7,6,5]=>[7,1,8,5,6,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,2,8,7,4,3,5]=>[3,8,7,1,2,5,6,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,4,8,1,7,2,5]=>[6,3,5,1,8,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,2,8,4,3,5]=>[2,8,3,7,1,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,7,2,8,4,3,5]=>[8,3,2,7,1,5,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,4,2,8,3,5]=>[3,2,8,5,7,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,1,4,8,2,5]=>[3,6,2,8,5,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,8,1,5,2,4,6]=>[6,2,1,8,4,7,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,8,5,3,4,6]=>[2,8,7,1,4,6,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,2,8,4,5,3,6]=>[8,2,7,1,5,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,7,8,5,3,6]=>[8,5,7,2,1,4,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,8,4,3,7,5]=>[3,8,7,1,5,6,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,1,3,2,4,8,5]=>[3,2,8,6,7,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,7,3,5,8,4,6]=>[8,7,2,6,4,1,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,7,5,8,3,4,6]=>[8,7,2,4,1,6,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,1,3,7,2,4,6]=>[4,1,8,6,2,7,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,5,8,7,3,4,6]=>[8,7,4,1,2,6,5,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,5,8,3,7,4,6]=>[8,7,4,1,6,2,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,8,1,7,3,5,4,6]=>[7,1,8,2,6,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,8,1,7,3,6,5]=>[5,7,1,8,2,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,1,7,4,3,6,5]=>[7,1,8,2,5,6,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,2,8,4,3,6,5]=>[2,8,7,1,5,6,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,8,4,7,5,3,6]=>[8,7,1,5,2,4,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,7,4,5,3,6]=>[8,7,1,2,5,4,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,1,7,5,3,4,6]=>[7,1,8,2,4,6,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,7,1,5,2,4,6]=>[1,6,2,8,4,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,6,1,4,7,2,5]=>[6,1,3,8,5,2,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,6,2,7,4,3,5]=>[1,8,3,7,2,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,2,8,6,4,3,5]=>[2,8,7,1,3,5,6,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,4,8,1,6,2,5]=>[6,2,5,1,8,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,8,7,1,6,2,5]=>[6,5,1,2,8,3,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,8,1,7,6,3,5]=>[5,7,1,8,2,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,1,7,6,4,3,5]=>[7,1,8,2,3,5,6,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,3,4,1,5,2,6]=>[2,1,6,5,8,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,4,1,6,2,5]=>[2,1,6,5,8,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,4,1,7,2,5]=>[3,1,6,5,8,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,4,1,8,2,5]=>[3,2,6,5,8,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,4,1,7,2,6]=>[4,1,6,5,8,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,4,1,6,2,7]=>[4,1,6,5,8,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,4,1,5,2,7]=>[3,1,6,5,8,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,4,1,5,2,8]=>[3,2,6,5,8,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,8,3,4,1,7]=>[4,3,7,1,6,5,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,7,3,4,1,8]=>[4,3,7,2,6,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,8,3,5,1,7]=>[5,3,7,1,6,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,5,1,6,2,8]=>[5,2,6,4,8,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,5,1,6,2,7]=>[5,1,6,4,8,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,5,1,7,2,6]=>[5,1,6,4,8,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,3,1,7,4,8]=>[4,3,7,6,8,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,4,1,7,3,8]=>[4,3,7,5,8,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,5,1,7,3,8]=>[5,3,7,4,8,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,5,1,8,3,7]=>[5,3,7,4,8,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,8,3,7,2,6]=>[5,4,8,1,6,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,7,3,8,2,6]=>[5,4,8,2,6,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,7,3,8,1,5]=>[5,3,7,2,6,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,7,3,8,1,4]=>[4,3,7,2,6,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,7,4,8,1,3]=>[4,3,7,2,5,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,8,4,7,1,2]=>[4,3,6,1,5,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,8,4,7,1,3]=>[4,3,7,1,5,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,8,3,7,1,4]=>[4,3,7,1,6,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,8,3,7,1,5]=>[5,3,7,1,6,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,7,3,6,2,8]=>[5,4,8,2,6,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,8,3,6,2,7]=>[5,4,8,1,6,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,5,2,1,8,7]=>[5,3,6,4,7,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,2,4,5,7,3,1]=>[3,1,7,5,4,2,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,3,7,4,5,2,1,6]=>[1,6,2,5,4,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,8,4,5,7,2,1]=>[3,6,1,5,4,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,8,7,4,3,6,2,1]=>[4,1,2,5,6,3,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,7,4,3,6,1,5]=>[7,1,2,5,6,3,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,1,7,4,3,6,2,5]=>[1,8,2,5,6,3,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,6,8,5,7,4,3]=>[7,8,3,1,4,2,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,3,5,1,7,4,2]=>[3,1,6,4,8,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,8,4,7,6,3,2]=>[4,8,1,5,2,3,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,5,8,4,7,6,3,1]=>[7,4,1,5,2,3,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,8,1,5,6,7,2]=>[5,6,1,8,4,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,8,1,3,5,6,7,2]=>[5,1,8,6,4,3,2,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,3,6,1,2,7,5]=>[5,1,6,3,8,7,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,7,4,1,6,2,5]=>[6,1,2,5,8,3,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,1,2,5,6,7,4]=>[6,1,8,7,4,3,2,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [8,1,7,4,5,2,3,6]=>[1,8,2,5,4,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,8,7,4,5,1,3,6]=>[7,1,2,5,4,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,3,6,2,4,7,1]=>[4,1,6,3,7,5,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,3,6,2,1,7,4]=>[4,1,6,3,7,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,7,4,2,6,1,3]=>[4,1,2,5,7,3,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,6,8,4,5,7,1,3]=>[7,3,1,5,4,2,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,8,4,5,7,2,3]=>[3,8,1,5,4,2,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,3,5,1,7,2,4]=>[3,1,6,4,8,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,3,6,1,2,7,4]=>[4,1,6,3,8,7,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,8,2,5,6,7,3]=>[5,8,1,7,4,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,4,8,1,5,6,7,3]=>[7,5,1,8,4,3,2,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,2,1,5,6,7,3]=>[5,1,7,8,4,3,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,8,2,5,6,7,1]=>[6,5,1,7,4,3,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,1,4,7,6,2,3]=>[4,1,8,5,2,3,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,3,1,6,2,7,4]=>[4,1,6,8,3,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,8,6,1,7,2]=>[5,4,6,1,3,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,1,8,5,6,7,2]=>[6,5,8,1,4,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,7,6,2,3,8,1]=>[5,4,2,3,7,6,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,7,2,6,4,8,1]=>[6,4,2,7,3,5,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,7,3,6,4,8,1]=>[7,4,2,6,3,5,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,3,6,8,4,2]=>[8,4,2,6,3,1,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,2,3,5,4,8,1]=>[3,2,7,6,4,5,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,3,6,4,8,1]=>[4,7,2,6,3,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,7,6,1,5,2]=>[1,6,5,2,3,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,4,7,1,6,5,3]=>[1,7,5,2,8,3,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,7,6,8,5,2]=>[6,8,5,2,3,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,3,7,6,8,5,2]=>[5,8,6,2,3,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,7,3,6,8,4,2]=>[4,8,2,6,3,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,1,3,5,8,4,2]=>[3,2,8,6,4,1,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,8,7,3,6,1,4,2]=>[4,1,2,6,3,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,7,6,1,5,2]=>[5,1,6,2,3,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,4,7,6,1,5,2]=>[6,1,5,2,3,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,4,7,1,6,5,3]=>[7,1,5,2,8,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,4,7,2,6,5,3]=>[1,8,5,2,7,3,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,3,2,7,6,5,4]=>[1,8,6,7,2,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,8,3,1,7,6,5,4]=>[7,1,6,8,2,3,4,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,8,2,1,7,6,5,4]=>[6,1,7,8,2,3,4,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,1,2,8,5,4,3]=>[3,2,8,7,1,4,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,2,3,1,7,6,5,4]=>[1,7,6,8,2,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,1,7,6,8,5,2]=>[6,5,8,2,3,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,2,7,8,6,5,3]=>[8,5,7,2,1,3,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,5,7,2,1,6,4,3]=>[1,4,2,7,8,3,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,5,7,2,8,6,4,3]=>[8,4,2,7,1,3,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,7,1,6,8,4,2]=>[6,4,2,8,3,1,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,4,5,8,1,3,2]=>[3,2,5,4,1,8,6,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,6,8,1,3,2]=>[4,5,2,3,1,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,7,8,1,6,4,3]=>[7,4,2,1,8,3,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,7,8,2,6,4,3]=>[8,4,2,1,7,3,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [8,5,7,1,2,6,4,3]=>[1,4,2,8,7,3,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,4,8,7,2,6,5,3]=>[8,5,1,2,7,3,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,8,7,6,1,5,2]=>[6,5,1,2,3,8,4,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,3,8,7,6,1,5,2]=>[5,6,1,2,3,8,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,3,7,8,6,1,4,2]=>[4,6,2,1,3,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,2,8,1,5,4,3]=>[3,2,7,1,8,4,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,7,8,1,6,4,3]=>[4,7,2,1,8,3,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,8,7,1,6,5,3]=>[5,7,1,2,8,3,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,8,1,7,6,5,4]=>[6,7,1,8,2,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,3,8,2,7,6,5,4]=>[8,6,1,7,2,3,4,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,8,3,7,6,5,4]=>[8,7,1,6,2,3,4,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,1,8,3,7,6,5,4]=>[7,8,1,6,2,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,1,7,8,2,6,4,3]=>[4,8,2,1,7,3,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,1,8,2,5,4,3]=>[3,2,8,1,7,4,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,7,1,2,6,4,3]=>[4,1,2,8,7,3,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,1,7,2,6,5,3]=>[5,1,8,2,7,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,1,2,7,6,5,4]=>[6,1,8,7,2,3,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,8,1,3,7,6,5,4]=>[7,1,8,6,2,3,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,1,2,3,7,6,5,4]=>[1,8,7,6,2,3,4,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,7,1,8,4,5,2,3]=>[3,2,8,1,5,4,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,5,8,2,6,4]=>[6,2,8,4,1,7,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,5,8,3,6,4]=>[7,2,8,4,1,6,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,1,8,3,7,4]=>[7,3,4,8,1,6,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,1,8,2,7,4]=>[6,3,4,8,1,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,1,8,7,2,3]=>[5,3,4,8,1,2,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,1,8,7,2,3]=>[4,3,5,8,1,2,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,4,5,7,6,2,3]=>[1,8,5,4,2,3,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,1,8,7,2,3]=>[3,5,4,8,1,2,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,6,1,8,7,2,3]=>[4,5,3,8,1,2,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,6,1,8,7,2,3]=>[5,4,3,8,1,2,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,1,8,2,7,4]=>[6,4,3,8,1,7,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,1,8,3,7,4]=>[7,4,3,8,1,6,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,1,3,8,7,5]=>[7,5,3,8,6,1,2,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,6,1,2,8,7,5]=>[6,5,3,8,7,1,2,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,6,1,2,8,7,5]=>[5,6,3,8,7,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,6,1,8,2,7,4]=>[4,6,3,8,1,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,3,5,7,2,6,4]=>[1,8,6,4,2,7,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,2,5,7,3,6,4]=>[1,8,7,4,2,6,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,5,1,8,3,7,4]=>[3,7,4,8,1,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,1,3,8,7,5]=>[5,7,3,8,6,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,3,6,1,4,8,7,5]=>[7,6,3,8,5,1,2,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,5,3,1,8,7,6]=>[5,7,4,6,8,1,2,3]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,4,1,3,8,7,5]=>[3,7,5,8,6,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,2,4,3,7,6,5]=>[1,8,7,5,6,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,3,4,2,7,6,5]=>[1,8,6,5,7,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,4,1,2,8,7,5]=>[3,6,5,8,7,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,6,3,1,2,8,7,5]=>[5,3,6,8,7,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,4,1,2,8,7,5]=>[6,3,5,8,7,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,4,1,3,8,7,5]=>[7,3,5,8,6,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,4,3,8,6,5]=>[7,2,8,5,6,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,1,4,2,8,6,5]=>[6,2,8,5,7,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,1,3,2,8,6,5]=>[5,2,8,6,7,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,6,7,2,3,5,4]=>[1,8,3,2,7,6,4,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,1,2,3,8,6,5]=>[5,2,8,7,6,1,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,1,2,4,8,6,5]=>[6,2,8,7,5,1,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,3,4,8,6,5]=>[7,2,8,6,5,1,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,6,3,1,4,8,7,5]=>[7,3,6,8,5,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,2,1,4,8,7,5]=>[6,3,7,8,5,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,2,1,8,3,7,4]=>[4,3,7,8,1,6,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,5,2,7,3,6,4]=>[1,8,4,7,2,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,2,3,7,6,5]=>[1,8,5,7,6,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,5,2,4,1,8,7,6]=>[6,4,7,5,8,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,3,2,4,7,6,5]=>[1,8,6,7,5,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,2,3,4,7,6,5]=>[1,8,7,6,5,2,3,4]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,2,3,1,4,8,7,5]=>[3,7,6,8,5,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,4,3,6,1,5,8,7]=>[7,5,6,3,8,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,6,5,8,1,7]=>[7,5,6,3,4,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,6,3,5,8,7,1]=>[7,5,3,6,4,1,2,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,6,3,5,8,1,7]=>[7,5,3,6,4,1,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,6,3,5,1,8,7]=>[7,5,3,6,4,8,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,3,1,5,8,7]=>[7,5,3,6,8,4,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,1,6,5,3,8,7]=>[7,5,8,3,4,6,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,6,1,5,3,8,7]=>[7,5,3,8,4,6,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,5,3,1,8,7]=>[5,7,3,4,6,8,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,2,6,5,1,3,8,7]=>[5,7,3,4,8,6,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,6,5,1,8,7,3]=>[5,7,3,4,8,1,2,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,2,6,5,8,1,7,3]=>[5,7,3,4,1,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,5,8,1,3,7]=>[5,7,3,4,1,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,6,5,8,3,1,7]=>[5,7,3,4,1,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,6,1,5,8,3,7]=>[7,5,3,8,4,1,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,6,5,8,3,7]=>[7,5,8,3,4,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,6,5,8,3,7]=>[7,8,5,3,4,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,6,5,8,7,3]=>[7,5,8,3,4,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,6,1,5,8,7,3]=>[7,5,3,8,4,1,2,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,6,5,3,8,7,1]=>[5,7,3,4,6,1,2,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,2,6,5,8,3,7,1]=>[5,7,3,4,1,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,4,3,8,7,1,5]=>[7,3,5,6,1,2,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,3,8,7,5,1]=>[7,3,5,6,1,2,4,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,2,6,8,5,3,7,1]=>[5,7,3,1,4,6,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,6,8,1,5,7,3]=>[7,5,3,1,8,4,2,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,6,1,8,5,7,3]=>[7,5,3,8,1,4,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,6,8,5,7,3]=>[7,5,8,3,1,4,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,6,8,5,7,3]=>[7,8,5,3,1,4,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,6,8,5,3,7]=>[7,8,5,3,1,4,6,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,6,8,5,3,7]=>[7,5,8,3,1,4,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,1,8,5,3,7]=>[7,5,3,8,1,4,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,8,1,5,3,7]=>[7,5,3,1,8,4,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,2,6,8,5,3,1,7]=>[5,7,3,1,4,6,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,6,8,5,1,3,7]=>[5,7,3,1,4,8,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,6,8,5,1,7,3]=>[5,7,3,1,4,8,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,6,8,3,5,7,1]=>[7,5,3,1,6,4,2,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,6,8,3,5,1,7]=>[7,5,3,1,6,4,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,8,3,1,5,7]=>[7,5,3,1,6,8,4,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,6,3,1,8,5,7]=>[7,5,3,6,8,1,4,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,6,3,8,1,5,7]=>[7,5,3,6,1,8,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,6,3,8,5,1,7]=>[7,5,3,6,1,4,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,3,8,5,7,1]=>[7,5,3,6,1,4,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,6,8,5,7,1]=>[7,5,6,3,1,4,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,6,8,5,1,7]=>[7,5,6,3,1,4,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,6,8,1,5,7]=>[7,5,6,3,1,8,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,4,3,6,1,8,5,7]=>[7,5,6,3,8,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,1,6,8,5,7]=>[7,5,6,8,3,1,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,3,6,8,7,5]=>[7,5,8,6,3,1,2,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,6,1,8,7,5]=>[7,5,6,3,8,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,3,6,8,1,7,5]=>[7,5,6,3,1,8,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,2,8,7,3,1]=>[5,3,4,7,1,2,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,5,2,8,7,1,3]=>[5,3,4,7,1,2,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,5,8,7,1,3]=>[5,3,7,4,1,2,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,5,8,7,3,1]=>[5,3,7,4,1,2,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,4,6,3,8,1,7,5]=>[7,5,3,6,1,8,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,3,1,8,7,5]=>[7,5,3,6,8,1,2,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,1,6,3,8,7,5]=>[7,5,8,3,6,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,6,3,8,7,5]=>[7,8,5,3,6,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,6,8,3,7,5]=>[7,8,5,3,1,6,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,6,8,3,7,5]=>[7,5,8,3,1,6,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,1,8,3,7,5]=>[7,5,3,8,1,6,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,8,1,3,7,5]=>[7,5,3,1,8,6,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,6,8,3,1,7,5]=>[7,5,3,1,6,8,2,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,2,8,5,7,3,1]=>[5,3,7,1,4,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,2,8,5,7,1,3]=>[5,3,7,1,4,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,8,7,1,3,5]=>[3,7,5,1,2,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,4,8,1,7,5,3]=>[7,3,5,1,8,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,4,1,8,7,5,3]=>[7,3,5,8,1,2,4,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,1,4,8,7,5,3]=>[7,3,8,5,1,2,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,6,4,8,7,5,3]=>[7,8,3,5,1,2,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,1,6,4,8,7,3,5]=>[7,8,3,5,1,2,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,1,4,8,7,3,5]=>[7,3,8,5,1,2,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,1,8,7,3,5]=>[7,3,5,8,1,2,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,8,1,7,3,5]=>[7,3,5,1,8,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,8,7,3,5,1]=>[3,7,5,1,2,6,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,4,8,7,3,1,5]=>[3,7,5,1,2,6,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,4,7,3,8,2,5]=>[8,3,5,2,6,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,7,4,5,8,2,6]=>[8,6,2,5,4,1,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,4,7,3,6,8,1]=>[4,7,5,2,6,3,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,6,3,4,8,2,5]=>[8,2,3,6,5,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,6,3,7,2,4,5]=>[1,8,3,6,2,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,6,3,8,2,4,5]=>[2,8,3,6,1,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,2,7,4,8,3,5,6]=>[8,7,2,5,1,6,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,7,3,4,8,2,5]=>[3,8,2,6,5,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,4,7,3,8,2,6]=>[4,8,5,2,6,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,3,7,1,4,5]=>[7,1,3,6,2,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,1,3,7,2,4,5]=>[3,1,8,6,2,7,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,2,1,7,3,4,6]=>[4,1,7,8,2,6,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,1,8,3,4,6]=>[4,2,7,8,1,6,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,1,3,8,2,4,5]=>[3,2,8,6,1,7,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,2,4,8,3,6,7]=>[4,8,7,5,1,6,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,6,1,5,8,2,7]=>[5,6,3,8,4,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,1,4,5,8,3,7]=>[7,3,8,5,4,1,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,4,8,3,5,7]=>[8,3,7,5,1,6,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,2,8,4,6,7]=>[8,4,6,7,1,5,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,3,4,1,8,6,7]=>[7,4,6,5,8,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,2,1,8,6,7]=>[5,6,4,7,8,1,3,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,4,8,7,1,3,5]=>[7,3,5,1,2,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,4,8,7,2,3,5]=>[8,3,5,1,2,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,3,6,1,4,5]=>[7,2,1,6,3,8,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,4,8,7,1,3,6]=>[4,7,5,1,2,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,8,3,7,1,4,5]=>[3,7,1,6,2,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,4,8,7,2,3,6]=>[4,8,5,1,2,7,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,2,5,1,3,7,6]=>[5,1,7,4,8,6,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,2,5,1,3,8,6]=>[5,2,7,4,8,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,2,1,5,4,8,6]=>[6,2,7,8,4,5,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,1,5,4,7,6]=>[6,1,7,8,4,5,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,1,4,5,7,6]=>[6,1,7,8,5,4,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,2,1,4,5,8,6]=>[6,2,7,8,5,4,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,7,1,4,6,8,5]=>[6,7,2,8,5,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,2,8,1,4,6,7,5]=>[6,7,1,8,5,3,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,2,8,1,4,7,6,5]=>[6,7,1,8,5,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,2,1,4,7,5,6]=>[6,1,7,8,5,2,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,2,1,5,7,4,6]=>[6,1,7,8,4,2,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,2,5,1,7,3,6]=>[5,1,7,4,8,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,2,5,1,8,3,6]=>[5,2,7,4,8,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,1,5,8,4,6]=>[6,2,7,8,4,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,1,4,8,5,6]=>[6,2,7,8,5,1,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,7,1,6,8,4,5]=>[6,7,2,8,3,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,7,6,1,8,3,5]=>[5,7,2,3,8,1,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,7,6,8,1,2,5]=>[5,6,2,3,1,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,3,8,6,7,1,2,5]=>[5,6,1,3,2,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,8,6,1,7,3,5]=>[5,7,1,3,8,2,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,8,1,6,7,4,5]=>[6,7,1,8,3,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,2,1,7,4,5,6]=>[6,1,7,8,2,5,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,8,1,7,4,6,5]=>[6,7,1,8,2,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,1,6,4,7,5]=>[6,7,1,8,3,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,7,1,6,4,8,5]=>[6,7,2,8,3,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,7,6,1,3,8,5]=>[5,7,2,3,8,6,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,8,6,1,3,7,5]=>[5,7,1,3,8,6,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,8,7,1,3,6,5]=>[5,7,1,2,8,6,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,7,8,3,4,1,2,6]=>[4,2,1,6,5,8,7,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,7,8,1,3,6,5]=>[5,7,2,1,8,6,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,6,7,1,3,8,5]=>[5,7,3,2,8,6,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,6,1,8,4,7,5]=>[6,7,3,8,1,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,2,1,8,4,5,6]=>[6,2,7,8,1,5,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,1,8,5,4,6]=>[6,2,7,8,1,4,5,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,8,5,1,2,6]=>[5,2,6,1,4,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,7,8,6,1,2,5]=>[5,6,2,1,3,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,7,1,8,6,4,5]=>[6,7,2,8,1,3,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,6,1,8,7,4,5]=>[6,7,3,8,1,2,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,6,8,1,7,3,5]=>[5,7,3,1,8,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,8,7,1,2,5]=>[5,6,3,1,2,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,6,7,1,8,3,5]=>[5,7,3,2,8,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,1,7,8,4,5]=>[6,7,3,8,2,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,6,8,7,5,1,2]=>[6,5,3,1,2,4,8,7]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,3,6,4,8,7,1,2]=>[4,6,3,5,1,2,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,6,2,7,8,5,3]=>[8,5,3,7,2,1,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,8,5,4,2,6,7]=>[6,8,1,4,5,7,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,2,7,5,4,8,6,3]=>[8,7,2,4,5,1,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,3,7,5,4,8,1,2]=>[3,6,2,4,5,1,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,8,5,4,6,1,2]=>[2,6,1,4,5,3,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,7,5,4,6,1,2]=>[6,1,2,4,5,3,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,3,6,7,8,5,1,2]=>[5,6,3,2,1,4,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,6,3,8,7,1,2]=>[5,4,3,6,1,2,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,8,5,4,7,1,2]=>[6,3,1,4,5,2,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,3,5,4,7,1,2]=>[3,1,6,4,5,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,5,4,8,7,3]=>[8,3,7,4,5,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,2,5,8,3,6,4]=>[2,8,7,4,1,6,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,2,5,7,3,6,4]=>[8,1,7,4,2,6,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,2,8,7,5,3]=>[5,8,3,7,1,2,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,8,1,2,4,6,5,3]=>[2,1,8,7,5,3,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,8,3,1,4,2,6,5]=>[2,1,6,8,5,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,1,8,2,7,5]=>[5,6,3,8,1,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,8,1,5,2,3,7,6]=>[5,1,8,4,7,6,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,1,6,4,3,2,7]=>[4,1,8,3,5,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,5,7,4,3,2,8]=>[3,8,4,2,5,6,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,5,8,6,4,3,2,7]=>[8,4,1,3,5,6,7,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,4,6,1,5,8,2,7]=>[6,5,3,8,4,1,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,1,5,3,2,6]=>[2,1,5,8,4,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,5,1,6,3,2,4]=>[2,1,4,8,3,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,5,7,3,8,4]=>[7,3,8,4,2,6,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,7,4,3,2,5]=>[8,3,1,2,5,6,7,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,8,1,7,4,3,2,5]=>[3,1,8,2,5,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,7,6,4,3,2,8]=>[4,8,2,3,5,6,7,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,1,7,8,4,3,2,5]=>[3,8,2,1,5,6,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,8,6,4,3,2,5]=>[2,8,1,3,5,6,7,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [2,1,7,5,6,3,8,4]=>[7,8,2,4,3,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,7,5,8,2,4]=>[6,8,3,2,4,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,6,5,3,2,4]=>[2,1,8,3,4,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,2,1,4,5,6,3]=>[2,1,7,8,5,4,3,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,1,5,4,6,7,3]=>[7,1,8,4,5,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,8,5,6,3,7,4]=>[8,7,1,4,3,6,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,5,7,3,8,4]=>[3,8,7,4,2,6,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,1,5,7,2,8]=>[5,6,3,8,4,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,6,3,7,8,2,4]=>[4,8,3,6,2,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,3,6,8,5,7,2,4]=>[8,6,3,1,4,2,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,3,7,1,8,5]=>[7,5,3,6,2,8,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,4,8,7,2,5]=>[8,6,3,5,1,2,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,7,3,8,2,5]=>[5,8,3,2,6,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,1,3,7,2,8]=>[4,5,3,8,6,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,7,5,2,3,8,6]=>[5,8,2,4,7,6,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,2,4,5,8,3,7,6]=>[8,7,5,4,1,6,2,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [7,2,3,5,4,1,8,6]=>[2,7,6,4,5,8,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,3,5,4,1,7,6]=>[7,1,6,4,5,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,3,8,1,7,5]=>[5,7,3,6,1,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,2,3,4,1,6,5]=>[2,1,7,6,5,8,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,4,6,3,2,5]=>[2,1,8,5,3,6,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,6,4,7,8,2,5]=>[6,8,3,5,2,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,5,7,4,3,2,6]=>[8,1,4,2,5,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,5,8,4,3,2,6]=>[2,8,4,1,5,6,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,8,7,4,3,2,6]=>[4,8,1,2,5,6,7,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,5,7,1,4,3,2,8]=>[3,4,2,8,5,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,5,8,1,4,3,2,6]=>[2,4,1,8,5,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,7,1,4,3,2,6]=>[4,1,2,8,5,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,8,4,3,2,6]=>[8,4,2,1,5,6,7,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,7,5,1,3,8,6]=>[7,5,2,4,8,6,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,8,4,6,1,3,2,5]=>[2,1,5,3,8,6,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,5,4,1,3,2,6]=>[2,1,4,5,8,6,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,6,4,1,8,2,7]=>[6,4,3,5,8,1,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,4,5,1,3,8,7]=>[7,3,5,4,8,6,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,5,8,4,3,2,7]=>[8,3,4,1,5,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,5,1,4,3,2,7]=>[3,1,4,8,5,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,6,2,7,1,5,8]=>[6,5,3,7,2,8,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,2,5,4,1,7,8]=>[6,3,7,4,5,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,7,5,4,1,6,8]=>[6,7,2,4,5,8,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,3,6,2,8,1,5,7]=>[5,6,3,7,1,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,4,5,1,3,7,8]=>[3,7,5,4,8,6,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,8,5,1,3,7,6]=>[5,7,1,4,8,6,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,3,6,8,1,7,2,5]=>[5,6,3,1,8,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,4,1,7,2,8]=>[4,6,3,5,8,2,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,7,4,8,3,5,2]=>[8,3,2,5,1,6,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,3,7,5,8,2]=>[8,5,3,6,2,4,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,2,5,8,1,3]=>[5,3,2,7,4,1,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,6,1,7,5,3,8]=>[7,5,3,8,2,4,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,5,4,3,8,6,2]=>[8,2,4,5,6,1,3,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,4,6,3,5,8,7,2]=>[8,5,3,6,4,1,2,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,8,4,3,6,7,2]=>[8,4,1,5,6,3,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,4,6,2,7,8,1,3]=>[4,5,3,7,2,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,4,1,6,7,3,8]=>[7,4,5,8,3,2,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,3,2,7,1,4,8]=>[4,3,6,7,2,8,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,3,2,7,1,8,4]=>[4,3,6,7,2,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,5,6,3,2,7,1,4]=>[1,4,3,6,7,2,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,6,2,8,1,7,3]=>[4,5,3,7,1,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,1,7,8,5,3,6]=>[7,5,8,2,1,4,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,4,1,6,3,8,7]=>[7,4,5,8,3,6,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,2,1,8,4,7]=>[4,3,6,7,8,1,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,2,1,6,4,7,8]=>[6,4,7,8,3,5,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,4,3,2,1,5,7]=>[3,1,5,6,7,8,4,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,3,8,2,1,6,4,7]=>[4,6,1,7,8,3,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,5,8,2,1,4,6]=>[6,2,4,1,7,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,6,3,2,1,7,5]=>[1,5,3,6,7,8,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,8,4,3,2,1,6,5]=>[2,1,5,6,7,8,3,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,4,7,2,1,8,6,3]=>[4,5,2,7,8,1,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,5,8,3,2,6,1,4]=>[2,4,1,6,7,3,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,3,2,1,6,8,4]=>[4,2,6,7,8,3,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,3,2,1,6,4,8]=>[4,2,6,7,8,3,5,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,7,2,5,1,8,4]=>[3,6,2,7,4,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,8,3,5,2,1,4]=>[3,2,1,6,4,7,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,5,7,8,4,1,3]=>[3,7,4,2,1,5,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,5,7,8,6,3,4]=>[7,8,4,2,1,3,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,7,2,8,1,4,5]=>[6,3,2,7,1,8,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,7,2,8,1,4,5]=>[3,6,2,7,1,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,6,1,7,4,5,8]=>[6,7,3,8,2,5,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,2,1,4,7,6,8]=>[6,4,7,8,5,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,5,2,1,8,4,6]=>[2,6,4,7,8,1,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,4,1,3,7,8,6]=>[7,4,5,8,6,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,8,4,1,3,7,6]=>[7,4,1,5,8,6,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,1,7,8,3,6,5]=>[7,5,8,2,1,6,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,8,6,1,4,5]=>[6,2,7,1,3,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,8,2,1,7,4,5]=>[6,3,1,7,8,2,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,8,2,1,4,7,6]=>[4,6,1,7,8,5,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,7,3,2,1,5,6]=>[5,1,2,6,7,8,4,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [4,7,3,2,1,5,6,8]=>[5,2,6,7,8,4,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,4,7,3,2,1,5,6]=>[1,5,2,6,7,8,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,3,5,2,1,4,7,6]=>[1,6,4,7,8,5,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,6,2,8,3,4]=>[4,2,8,3,7,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,6,2,8,4,3]=>[4,2,8,3,7,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,6,5,1,8,3,4]=>[7,2,3,4,8,1,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,5,1,8,4,3]=>[7,2,3,4,8,1,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,3,6,5,1,4,8,7]=>[7,6,3,4,8,5,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,6,4,1,5,8,7]=>[7,6,3,5,8,4,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,6,1,5,4,8,7]=>[7,6,3,8,4,5,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,6,1,4,8,5,3]=>[7,2,3,8,5,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,6,1,4,8,3,5]=>[7,2,3,8,5,1,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,5,1,8,4,2,6]=>[2,6,4,8,1,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,5,1,8,6,4,2]=>[2,6,4,8,1,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,7,6,1,5,8,4,3]=>[7,2,3,8,4,1,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,6,4,1,8,5,3]=>[7,2,3,5,8,1,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,1,7,6,3,8,5,4]=>[7,8,2,3,6,1,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,7,6,3,8,4,5]=>[7,8,2,3,6,1,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,3,6,2,8,4,1]=>[4,2,6,3,7,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,6,4,1,8,3,5]=>[7,2,3,5,8,1,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,3,5,1,8,6,2,4]=>[2,6,4,8,1,3,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,5,1,8,2,4,7]=>[3,6,4,8,1,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,3,4,8,7,6,1,5]=>[7,6,5,1,2,3,8,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,3,4,8,5,7,1,6]=>[7,6,5,1,4,2,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,3,5,4,8,1,2,6]=>[2,6,4,5,1,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,4,5,8,7,3,6]=>[7,8,5,4,1,2,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,4,8,1,6,2]=>[2,6,4,5,1,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,4,8,7,5,6,1]=>[7,6,5,1,2,4,3,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,4,8,7,5,1,6]=>[7,6,5,1,2,4,8,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,7,6,5,4,8,1,3]=>[7,2,3,4,5,1,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,3,5,6,8,4,1,2]=>[2,6,4,3,1,5,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,6,8,1,4,2]=>[2,6,4,3,1,8,5,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,6,8,1,2,4]=>[2,6,4,3,1,8,7,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,7,8,2,1,4]=>[3,6,4,2,1,7,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,7,8,2,4,1]=>[3,6,4,2,1,7,5,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,6,4,5,8,3,1]=>[7,2,3,5,4,1,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,3,6,1,8,4,2]=>[4,2,6,3,8,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,5,8,6,3,7]=>[7,8,5,4,1,3,6,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,4,8,6,2,1]=>[2,6,4,5,1,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,3,4,8,5,6,1,7]=>[7,6,5,1,4,3,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,8,7,1,6,5]=>[7,6,5,1,2,8,3,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,4,8,1,7,6,5]=>[7,6,5,1,8,2,3,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,4,8,1,6,7,5]=>[7,6,5,1,8,3,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,4,8,5,1,7,6]=>[7,6,5,1,4,8,2,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,3,5,4,8,2,7,1]=>[3,6,4,5,1,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,4,5,8,3,7,6]=>[7,8,5,4,1,6,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,4,8,2,1,7]=>[3,6,4,5,1,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,4,8,5,1,6,7]=>[7,6,5,1,4,8,3,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,4,8,1,6,5,7]=>[7,6,5,1,8,3,4,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,8,1,5,7,6]=>[7,6,5,1,8,4,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [7,8,2,6,1,5,3,4]=>[2,1,7,3,8,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,6,2,5,3,4]=>[2,1,8,3,7,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,6,7,2,5,3,4]=>[8,1,3,2,7,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,7,2,6,3,4]=>[8,1,4,2,7,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,7,2,6,3,4]=>[4,1,8,2,7,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,7,1,6,3,4]=>[4,1,7,2,8,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,7,1,5,3,4]=>[7,1,3,2,8,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,5,7,1,6,3,4]=>[7,1,4,2,8,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,1,7,5,6,3,4]=>[7,1,8,2,4,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,7,5,6,3,4]=>[8,1,7,2,4,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,7,4,6,3,5]=>[8,1,7,2,5,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,1,7,4,6,3,5]=>[7,1,8,2,5,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,7,1,6,3,5]=>[7,1,5,2,8,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,7,1,6,3,5]=>[5,1,7,2,8,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,1,7,2,6,3,5]=>[5,1,8,2,7,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,7,2,6,3,5]=>[8,1,5,2,7,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,1,7,5,6,2,3]=>[5,1,8,2,4,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,7,5,6,2,3]=>[8,1,5,2,4,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,7,5,6,2,4]=>[8,1,6,2,4,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,1,7,5,6,2,4]=>[6,1,8,2,4,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,1,7,4,6,2,5]=>[6,1,8,2,5,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,7,4,6,2,5]=>[8,1,6,2,5,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,7,2,6,4,5]=>[8,1,6,2,7,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,1,7,2,6,4,5]=>[6,1,8,2,7,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,2,7,1,6,4,5]=>[6,1,7,2,8,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,2,7,4,6,1,5]=>[6,1,7,2,5,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,2,7,5,6,1,4]=>[6,1,7,2,4,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,7,5,6,1,3]=>[5,1,7,2,4,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,7,5,6,1,2]=>[5,1,6,2,4,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,7,5,6,1,2]=>[6,1,5,2,4,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,7,5,6,1,3]=>[7,1,5,2,4,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,7,5,6,1,4]=>[7,1,6,2,4,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,7,4,6,1,5]=>[7,1,6,2,5,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,7,1,6,4,5]=>[7,1,6,2,8,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,1,7,3,6,4,5]=>[7,1,8,2,6,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,8,6,1,5,2,3]=>[2,5,1,3,8,4,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,8,4,5,2,6,3]=>[2,8,1,5,4,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,1,7,4,2,5,3]=>[3,1,8,2,5,7,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,7,4,2,8,5,3]=>[8,3,2,5,7,1,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,7,3,8,5,2,4]=>[8,3,2,6,1,4,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,8,3,5,6,2,4]=>[2,8,1,6,4,3,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,8,6,2,5,1,4]=>[2,6,1,3,7,4,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,8,4,1,5,3,6]=>[2,7,1,5,8,4,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,8,3,5,1,6,4]=>[2,7,1,6,4,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,8,3,4,6,1,5]=>[2,7,1,6,5,3,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,7,8,2,6,3,4]=>[8,4,2,1,7,3,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,2,3,8,5,7,4,1]=>[3,7,6,1,4,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,4,8,5,3,1,7]=>[3,7,5,1,4,6,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,6,3,7,8,5,4,1]=>[7,3,6,2,1,4,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,6,3,7,8,4,5,1]=>[7,3,6,2,1,5,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,3,5,6,8,1]=>[7,5,2,6,4,3,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,7,3,6,8,5,1]=>[7,5,2,6,3,1,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,3,7,8,1,6,4]=>[7,4,6,2,1,8,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,4,7,8,2,6]=>[6,8,4,5,2,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,4,8,6,1,3,7]=>[4,7,5,1,3,8,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,3,8,4,6,7,1]=>[4,7,6,1,5,3,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,2,3,6,1,7,5]=>[5,1,7,6,3,8,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,2,3,5,7,1,6]=>[5,1,7,6,4,2,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,7,8,3,6,2,5]=>[8,5,2,1,6,3,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,8,1,3,6,7,2,5]=>[5,1,8,6,3,2,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,3,8,2,4,7,1,6]=>[4,6,1,7,5,2,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,8,2,5,1,7,4]=>[3,6,1,7,4,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,8,1,4,7,2,5]=>[3,6,1,8,5,2,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,1,3,6,2,7,4]=>[4,1,8,6,3,7,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,4,2,6,8,3]=>[8,4,2,5,7,3,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,8,1,4,2,6,3,7]=>[4,1,8,5,7,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,1,2,7,6,3]=>[4,1,5,8,7,2,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,7,5,2,8,3]=>[5,3,8,2,4,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,1,7,2,6,3,8]=>[5,4,8,2,7,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,1,2,8,7,4]=>[6,4,3,8,7,1,2,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,7,1,8,6,2,4]=>[6,4,2,8,1,3,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,7,5,1,8,4]=>[6,3,7,2,4,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,5,7,1,8,6,3]=>[5,7,4,2,8,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,7,2,8,6,1,5]=>[6,5,2,7,1,3,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,5,8,2,7,1,6]=>[6,5,4,1,7,2,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,6,2,8,1,5,7]=>[6,5,3,7,1,8,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,6,8,1,7,4]=>[6,4,7,3,1,8,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,6,1,3,8,7]=>[5,7,4,3,8,6,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,6,8,4,7,2,1]=>[4,6,3,1,5,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,2,5,4,8,6,1]=>[6,2,7,4,5,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,2,5,8,3,6,1]=>[5,2,7,4,1,6,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,8,4,3,7,1]=>[4,7,3,1,5,6,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,5,4,8,2,7]=>[6,8,3,4,5,1,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,6,5,8,3,2,7]=>[5,8,3,4,1,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,6,8,4,3,2,7]=>[4,8,3,1,5,6,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,1,8,4,3,2,6]=>[4,2,8,1,5,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,7,1,5,4,3,8,6]=>[7,2,8,4,5,6,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,6,7,1,3,2,4]=>[1,4,3,2,8,6,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,6,1,7,3,2,5]=>[1,5,3,8,2,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,6,1,4,7,2,5]=>[1,6,3,8,5,2,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,6,1,4,3,8,5]=>[7,2,3,8,5,6,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,5,1,3,2,4]=>[3,2,1,4,8,6,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,8,2,3,4,1]=>[4,2,3,1,7,6,5,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,2,8,4,3,6,1]=>[4,2,7,1,5,6,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,8,2,4,3,5,1]=>[3,2,1,7,5,6,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,6,2,4,7,5,1]=>[1,6,3,7,5,2,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,7,6,2,4,8,5,1]=>[6,2,3,7,5,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,3,8,4,6,2,1]=>[4,2,6,1,5,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,3,5,8,6,2,1]=>[5,2,6,4,1,3,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,2,6,5,1,3,7,4]=>[1,7,3,4,8,6,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,6,5,7,1,2,3]=>[1,5,3,4,2,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,6,8,4,1,2,3]=>[4,2,3,1,5,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,6,5,8,1,2,3]=>[5,2,3,4,1,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,6,5,1,8,2,4]=>[6,2,3,4,8,1,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,6,4,8,7,5,1,2]=>[6,3,5,1,2,4,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,4,3,8,7,1,2]=>[4,3,5,6,1,2,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,4,7,8,5,3]=>[8,3,7,5,2,1,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,6,2,4,8,1,5,7]=>[6,3,7,5,1,8,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,7,2,8,1,6,5]=>[6,5,2,7,1,8,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,2,5,8,6,3]=>[8,5,2,7,4,1,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,8,4,5,6,1,2]=>[2,6,1,5,4,3,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,6,4,8,7,1,2]=>[6,4,3,5,1,2,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,8,5,3,7,1,2]=>[5,3,1,4,6,2,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,5,3,4,7,1,2]=>[3,1,4,6,5,2,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,5,4,2,8,7,3]=>[8,3,4,5,7,1,2,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,5,2,7,3,6,4]=>[8,1,4,7,2,6,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,7,5,1,8,6,3]=>[5,7,2,4,8,1,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,1,4,2,6,5,3]=>[2,1,8,5,7,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,6,4,8,2,5,7]=>[8,6,3,5,1,7,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,5,3,1,7,2,6]=>[5,1,4,6,8,2,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,5,3,2,8,1,6]=>[2,5,4,6,7,1,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,3,6,1,4,2,7]=>[4,1,6,3,8,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,8,6,4,1,3,7]=>[7,4,1,3,5,8,6,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,6,2,5,8,3,7]=>[8,5,3,7,4,1,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,5,8,1,7,4]=>[6,3,7,4,1,8,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,7,4,2,3,5]=>[8,3,1,2,5,7,6,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,1,7,8,2,4,3,5]=>[3,8,2,1,7,5,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,8,6,3,4,2,5]=>[2,8,1,3,6,5,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,8,3,6,5,7,4]=>[8,7,1,6,3,4,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,2,7,5,8,4]=>[3,8,6,7,2,4,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,3,8,5,7,2,4]=>[8,3,6,1,4,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,1,7,5,8,3]=>[7,3,5,8,2,4,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,6,7,3,2,1,4]=>[4,1,3,2,6,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,4,3,7,2,8,5]=>[8,3,5,6,2,7,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,4,8,7,1,5]=>[7,3,6,5,1,2,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,4,5,2,8,6]=>[2,8,6,5,4,7,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,5,4,2,7,6]=>[8,1,6,4,5,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,6,3,8,2,7,5]=>[5,8,3,6,1,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,2,4,6,3,1,5]=>[2,1,7,5,3,6,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,6,4,7,8,1,5]=>[6,7,3,5,2,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,5,7,4,3,1,6]=>[7,1,4,2,5,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,5,8,3,4,1,6]=>[2,7,4,1,6,5,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,8,7,1,2,6,4]=>[4,6,1,2,8,7,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,8,4,1,2,3,6]=>[2,4,1,5,8,7,6,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,8,7,4,1,3,2,6]=>[4,1,2,5,8,6,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,7,8,4,1,2,6]=>[6,4,2,1,5,8,7,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,7,5,3,8,2,6]=>[8,5,2,4,6,1,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,6,7,3,1,8,5]=>[7,5,3,2,6,8,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,8,4,6,3,1,2,5]=>[2,1,5,3,6,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,4,5,3,8,1,7]=>[7,3,5,4,6,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,5,8,4,2,1,7]=>[6,3,4,1,5,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,8,4,2,3,1,7]=>[4,3,1,5,7,6,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,5,4,3,1,2,7]=>[3,1,4,5,6,8,7,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,1,4,2,8,5,7,3]=>[3,8,5,7,1,4,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,6,5,3,2,7,1]=>[5,1,3,4,6,7,2,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,7,5,8,2,1,4,3]=>[3,2,4,1,7,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,5,8,2,6,4,3]=>[8,2,4,1,7,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,8,5,7,6,2,4]=>[8,6,1,4,2,3,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,8,5,7,1,2,4]=>[3,6,1,4,2,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,5,2,1,4,7,3]=>[3,1,4,7,8,5,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,2,5,6,1,7,4]=>[6,1,7,4,3,8,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,1,5,6,3,7,4]=>[7,1,8,4,3,6,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,2,5,6,3,7,4]=>[1,8,7,4,3,6,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,2,5,7,6,3,4]=>[8,1,7,4,2,3,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,6,2,7,3,4]=>[4,8,1,3,7,2,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,8,6,1,7,3,4]=>[7,4,1,3,8,2,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,8,6,5,7,1,2,4]=>[6,1,3,4,2,8,7,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,7,6,8,4,2,3]=>[4,8,2,3,1,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,3,7,8,6,2,4]=>[4,8,6,2,1,3,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,5,8,1,6,4,3]=>[2,7,4,1,8,3,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,8,5,7,6,1,4]=>[6,7,1,4,2,3,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,8,6,1,7,3,4]=>[4,7,1,3,8,2,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,8,6,5,7,3,4]=>[8,7,1,3,4,2,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,2,5,6,3,7,1,4]=>[1,7,4,3,6,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,5,4,1,8,3]=>[2,7,3,4,5,8,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,1,3,5,4,7,8,2]=>[3,8,6,4,5,2,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,5,3,4,7,8,2]=>[3,8,4,6,5,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,5,6,2,4,1,8,3]=>[2,4,3,7,5,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,5,7,3,2,4]=>[1,8,3,4,2,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,8,6,2,7,1,4]=>[6,4,1,3,7,2,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,8,1,6,3,7,2,4]=>[4,1,8,3,6,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,6,3,7,2,4]=>[8,1,4,3,6,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,6,5,4,2,8,3]=>[8,2,3,4,5,7,1,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,7,6,1,4,2,8,3]=>[4,2,3,8,5,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,2,6,5,8,3]=>[2,8,5,7,3,4,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,3,5,6,8,2]=>[5,8,2,6,4,3,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,4,1,5,6,8,3]=>[7,2,5,8,4,3,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,6,4,1,2,8,3]=>[4,2,3,5,8,7,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,7,6,1,5,2,8,3]=>[5,2,3,8,4,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,6,4,5,2,8,3]=>[8,2,3,5,4,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,6,5,7,2,4]=>[8,1,6,3,4,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,1,6,5,7,2,4]=>[6,1,8,3,4,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,5,7,6,2,4]=>[1,8,6,4,2,3,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,5,4,1,6,2,3]=>[2,1,4,5,8,3,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,1,5,4,3,7,8,2]=>[3,8,4,5,6,2,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,6,4,2,1,8,3]=>[2,4,3,5,7,8,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,4,6,2,5,1,8,3]=>[2,5,3,7,4,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,4,3,5,7,8,2]=>[3,8,5,6,4,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,1,3,4,5,7,8,2]=>[3,8,6,5,4,2,1,7]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,2,6,4,5,1,8,3]=>[2,7,3,5,4,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,3,6,5,7,1,4]=>[1,7,6,3,4,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,3,6,8,1,2]=>[4,5,2,6,3,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,7,8,5,6,1,2]=>[6,5,2,1,4,3,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,7,2,5,1,6,8]=>[6,5,2,7,4,8,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,7,2,5,8,3,6]=>[8,5,2,7,4,1,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,4,7,1,5,8]=>[6,3,7,5,2,8,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,4,5,7,1,2]=>[3,1,6,5,4,2,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,3,6,7,5,8,1,2]=>[5,6,3,2,4,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,5,8,4,1,2]=>[3,6,2,4,1,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,8,6,4,5,1,2]=>[2,6,1,3,5,4,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,7,6,5,1,4,8]=>[6,7,2,3,4,8,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,2,7,6,5,8,3,4]=>[8,7,2,3,4,1,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,2,6,1,5,3,7]=>[5,1,7,3,8,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,8,6,4,1,5,7]=>[7,6,1,3,5,8,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,3,6,2,5,1,8,7]=>[5,6,3,7,4,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,3,2,5,1,4,6]=>[2,1,6,7,4,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,1,2,5,6,3,4]=>[2,1,8,7,4,3,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,6,2,5,7,3,8]=>[5,8,3,7,4,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,2,5,8,7,3,4]=>[3,8,7,4,1,2,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,8,6,4,7,3,5]=>[7,8,1,3,5,2,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,3,6,8,4,2,5]=>[2,8,6,3,1,5,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,3,6,7,4,5,2]=>[8,1,6,3,2,5,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,5,8,3,6,2,4]=>[2,8,4,1,6,3,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,8,7,2,3,6,4]=>[4,8,1,2,7,6,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,5,7,4,2,8,3]=>[3,8,4,2,5,7,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,4,7,2,5,8]=>[6,8,3,5,2,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,7,5,1,8,3,6]=>[7,5,2,4,8,1,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,7,1,4,2,3,8]=>[3,4,2,8,5,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,8,1,3,2,4,7]=>[4,3,1,8,6,7,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,5,1,3,4,2,7]=>[3,1,4,8,6,5,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,3,4,5,1,7,6]=>[7,1,6,5,4,8,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,3,1,5,7,8]=>[3,7,5,6,8,4,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,2,8,3,1,7,5,6]=>[5,7,1,6,8,2,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,7,4,8,2,5,6]=>[8,6,2,5,1,7,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,7,4,1,6,2,8]=>[4,6,2,5,8,3,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,7,3,6,1,8,5]=>[7,5,2,6,3,8,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,7,6,3,1,2,4]=>[4,1,2,3,6,8,7,5]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,5,6,8,1,4,3,2]=>[2,4,3,1,8,5,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,7,1,6,5,3,8]=>[7,5,2,8,3,4,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,8,5,4,3,6]=>[8,7,2,1,4,5,6,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,8,1,4,5,6,3,7]=>[7,1,8,5,4,3,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,2,6,1,8,5,3,7]=>[5,7,3,8,1,4,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,8,2,1,4,5,3,6]=>[2,1,7,8,5,4,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,1,5,3,6,2]=>[2,1,5,8,4,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,1,5,8,7,2]=>[6,5,3,8,4,1,2,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,1,6,3,4,7,2]=>[4,1,8,3,6,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,1,7,5,2,3,4]=>[3,1,8,2,4,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,1,7,4,8,2,3]=>[4,3,8,2,5,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,1,5,7,4,2,8]=>[6,3,8,4,2,5,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,6,1,7,4,8,3]=>[7,4,3,8,2,5,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,5,6,4,8,2]=>[6,8,2,4,3,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,6,4,8,3,2]=>[4,8,2,3,5,1,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,7,8,5,3,4,2]=>[3,8,2,1,4,6,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,8,6,5,4,2,3]=>[2,8,1,3,4,5,7,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,6,5,7,3,4,8,1]=>[7,3,4,2,6,5,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,7,5,8,2,3]=>[8,3,5,2,4,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,7,4,6,8,2,5]=>[8,6,2,5,3,1,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,5,6,3,2,8,1]=>[5,2,4,3,6,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,6,5,4,8,2,3]=>[8,2,3,4,5,1,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,1,6,5,7,2,4,3]=>[1,8,3,4,2,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,2,7,6,8,3,4,5]=>[8,7,2,3,1,6,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,7,5,3,8,2,4]=>[3,8,2,4,6,1,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,7,5,6,8,3,4]=>[7,8,2,4,3,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,5,6,2,7,3,1]=>[5,1,4,3,7,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,6,4,2,7,5,1]=>[6,1,3,5,7,2,4,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,8,5,2,4,6,3,1]=>[2,1,4,7,5,3,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,6,3,7,4,5,1]=>[7,1,3,6,2,5,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,6,2,4,5,3]=>[2,1,8,3,7,5,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,1,4,7,2,5,3]=>[3,1,8,5,2,7,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,1,7,2,6,5]=>[6,1,5,8,2,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,1,8,3,2,6]=>[4,5,2,8,1,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,4,1,8,5,2,6]=>[6,2,5,8,1,4,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,4,8,3,2,5]=>[3,2,8,5,1,6,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,8,4,5,3,6]=>[7,2,8,1,5,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,8,4,3,5,7]=>[3,8,7,1,5,6,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,2,5,8,3,4,7]=>[8,3,7,4,1,6,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,2,8,3,6,7]=>[8,4,5,7,1,6,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,6,8,4,5,2,1]=>[6,2,3,1,5,4,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,6,8,5,3,4,1]=>[7,2,3,1,4,6,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,6,8,5,4,2,3]=>[8,2,3,1,4,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,4,8,6,7,5,2,3]=>[8,5,1,3,2,4,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,6,7,3,5,1]=>[7,5,1,3,2,6,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,8,5,4,6,2,1]=>[2,6,1,4,5,3,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,4,8,5,6,7,2,1]=>[6,5,1,4,3,2,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,5,8,4,7,2,1]=>[3,6,4,1,5,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,5,8,7,3,4,1]=>[3,7,4,1,2,6,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,8,5,7,4,6,1]=>[6,7,1,4,2,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,3,8,7,5,6,2,4]=>[8,6,1,2,4,3,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,1,8,7,4,6,3,5]=>[7,8,1,2,5,3,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,8,5,7,6,2,4]=>[6,8,1,4,2,3,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,5,8,7,4,2,3]=>[3,8,4,1,2,5,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,6,7,4,3,2,1]=>[4,1,3,2,5,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,8,7,5,6,3,2,1]=>[5,1,2,4,3,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [8,2,4,1,3,6,5,7]=>[1,7,5,8,6,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,4,1,3,8,5,7]=>[3,7,5,8,6,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,4,1,3,5,8,7]=>[3,7,5,8,6,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,6,1,3,5,8,7]=>[5,7,3,8,6,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,6,4,3,5,8,7]=>[7,8,3,5,6,4,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,6,1,4,3,5,8,7]=>[7,3,8,5,6,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,4,1,3,5,8,7]=>[7,3,5,8,6,4,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,2,1,3,5,8,7]=>[5,3,7,8,6,4,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,2,1,8,3,5,7]=>[5,3,7,8,1,6,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,4,3,8,5,7]=>[7,3,8,5,6,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,4,3,8,5,7]=>[7,8,3,5,6,1,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,8,4,3,6,5,7]=>[7,8,1,5,6,3,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,1,4,3,6,5,7]=>[7,1,8,5,6,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,1,3,6,5,7]=>[7,1,5,8,6,3,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,2,1,3,6,5,7]=>[5,1,7,8,6,3,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,2,1,6,3,5,7]=>[5,1,7,8,3,6,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,2,1,4,3,5,7]=>[3,1,7,8,5,6,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,1,4,6,3,5,7]=>[7,1,8,5,3,6,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,8,4,6,3,5,7]=>[7,8,1,5,3,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,6,4,8,3,5,7]=>[7,8,3,5,1,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,1,4,8,3,5,7]=>[7,3,8,5,1,6,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,4,1,8,3,5,7]=>[7,3,5,8,1,6,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,4,8,1,3,5,7]=>[7,3,5,1,8,6,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,2,8,1,3,5,7]=>[5,3,7,1,8,6,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,6,1,3,8,5,7]=>[5,7,3,8,6,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,6,1,8,3,5,7]=>[5,7,3,8,1,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,4,1,8,3,5,7]=>[3,7,5,8,1,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,4,1,6,3,5,7]=>[1,7,5,8,3,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,4,3,8,6,5,7]=>[7,8,5,6,1,3,4,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,1,3,8,6,5,7]=>[7,5,8,6,1,3,4,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,6,1,4,3,5,7]=>[1,7,3,8,5,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,8,1,4,3,5,7]=>[3,7,1,8,5,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,8,1,6,3,5,7]=>[5,7,1,8,3,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,8,1,3,6,5,7]=>[5,7,1,8,6,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,8,1,3,6,5,7]=>[7,5,1,8,6,3,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,1,8,3,6,5,7]=>[7,5,8,1,6,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,8,3,6,5,7]=>[7,8,5,1,6,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,8,6,3,5,7]=>[7,8,5,1,3,6,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,8,1,6,3,5,7]=>[7,5,1,8,3,6,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,8,6,1,3,5,7]=>[7,5,1,3,8,6,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,2,8,6,1,3,5,7]=>[5,7,1,3,8,6,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,2,8,4,1,3,5,7]=>[3,7,1,5,8,6,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,2,6,4,1,3,5,7]=>[1,7,3,5,8,6,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,4,6,2,1,3,5,7]=>[1,5,3,7,8,6,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,4,8,2,1,3,5,7]=>[3,5,1,7,8,6,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,6,8,2,1,3,5,7]=>[5,3,1,7,8,6,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,6,8,4,1,3,5,7]=>[7,3,1,5,8,6,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,6,8,1,4,3,5,7]=>[7,3,1,8,5,6,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,8,4,3,5,7]=>[7,3,8,1,5,6,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,6,8,4,3,5,7]=>[7,8,3,1,5,6,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,8,6,4,3,5,7]=>[7,8,1,3,5,6,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,8,1,6,4,3,5,7]=>[7,1,8,3,5,6,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,6,4,1,3,5,7]=>[7,1,3,5,8,6,4,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,8,6,2,1,3,5,7]=>[5,1,3,7,8,6,4,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,8,4,2,1,3,5,7]=>[3,1,5,7,8,6,4,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,2,6,1,5,4,8,7]=>[6,7,3,8,4,5,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,4,3,8,1,7,6]=>[4,7,5,6,1,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,4,1,5,3,8,7]=>[3,7,5,8,4,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,1,5,2,8,7]=>[5,6,3,8,4,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,5,2,8,1,7,6]=>[5,6,4,7,1,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,2,6,5,8,1]=>[5,6,2,7,3,4,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,8,2,6,1,7,5]=>[5,6,1,7,3,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,8,1,7,2,6,5]=>[5,6,1,8,2,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,8,1,5,2,7,6]=>[5,6,1,8,4,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,3,4,2,7,6]=>[4,8,1,6,5,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,1,3,2,7,6]=>[4,5,1,8,6,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,5,4,8,3,7,6]=>[7,8,4,5,1,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,6,8,3,4,2]=>[4,8,2,3,1,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,6,8,1,5,2]=>[5,6,2,3,1,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,1,8,5,6,2]=>[5,6,2,8,1,4,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,5,8,1,7,2]=>[5,6,3,4,1,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,5,4,7,2,8,1]=>[3,6,4,5,2,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,5,4,8,1,7,2]=>[3,6,4,5,1,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,3,8,4,5,2]=>[2,8,3,6,1,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,6,5,8,1,3,2]=>[2,5,3,4,1,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,8,4,6,3,7,5]=>[7,8,1,5,3,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,6,1,3,2,7,5]=>[1,5,3,8,6,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,3,4,2,7,5]=>[1,8,3,6,5,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,3,7,2,5,4]=>[1,8,3,6,2,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,1,7,2,6,4]=>[1,6,4,8,2,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,2,6,1,7,4]=>[1,6,4,7,3,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,5,2,6,4,8,1]=>[2,6,4,7,3,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,3,5,1,7,4]=>[1,7,3,6,4,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,1,5,3,6,4]=>[1,7,2,8,4,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,1,5,3,7,6]=>[1,7,5,8,4,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,1,7,3,6,5]=>[1,7,5,8,2,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,3,6,1,7,5]=>[1,7,5,6,3,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,4,6,1,7,5]=>[6,7,1,5,3,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,1,5,4,7,6]=>[6,7,1,8,4,5,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,7,6,8,1,5,4]=>[6,7,2,3,1,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,7,1,8,5,6,4]=>[6,7,2,8,1,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,5,8,1,7,4]=>[6,7,3,4,1,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,2,4,3,8,1]=>[3,4,2,7,5,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,2,4,1,7,3]=>[3,4,1,7,5,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,4,1,8,5,6,3]=>[2,7,5,8,1,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,6,8,2,4,1,5,3]=>[2,3,1,7,5,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,6,8,1,5,2,4,3]=>[2,3,1,8,4,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,7,3,8,5,6,4]=>[7,8,2,6,1,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,3,2,8,5,6,4]=>[2,8,6,7,1,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,8,5,6,2,4,3]=>[2,8,1,4,3,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,8,2,6,4,5,3]=>[2,8,1,7,3,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,8,1,5,4,6,3]=>[2,7,1,8,4,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,4,5,3,8,1]=>[3,7,2,5,4,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,7,2,6,3,8,1]=>[4,5,2,7,3,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,2,6,1,7,3]=>[4,5,1,7,3,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,1,7,2,4,3]=>[3,4,1,8,2,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,5,8,3,7,4]=>[7,8,3,4,1,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,4,8,1,3,2]=>[3,4,2,5,1,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,1,8,3,4,2]=>[3,4,2,8,1,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,7,4,8,3,5,2]=>[3,8,2,5,1,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,7,1,8,3,6,2]=>[4,5,2,8,1,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,3,8,1,7,2]=>[4,5,3,6,1,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,3,1,5,4,6,7]=>[7,1,6,8,4,5,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,3,4,7,1,8,6]=>[7,4,6,5,2,8,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,3,5,7,6,1]=>[7,5,1,6,4,2,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,5,3,1,8,6,7]=>[5,7,4,6,8,1,3,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,4,8,3,2,6,7]=>[4,8,5,1,6,7,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,8,4,3,2,6,7]=>[8,4,1,5,6,7,3,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,7,4,3,8,5,2,6]=>[8,2,5,6,1,4,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,3,8,4,2,6]=>[8,4,2,6,1,5,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,4,7,8,3,2,6]=>[4,8,5,2,1,6,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,1,5,7,3,6,2]=>[5,1,8,4,2,6,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,5,3,7,4,6,2]=>[1,8,4,6,2,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,4,7,6,5,2,1]=>[6,1,5,2,3,4,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,6,8,5,3,7,4,2]=>[8,3,1,4,6,2,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,8,1,7,4,3,5,2]=>[3,1,8,2,5,6,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,8,1,7,3,5,2]=>[3,5,1,8,2,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,8,7,1,5,2,3]=>[3,5,1,2,8,4,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,5,6,3,2,8,4]=>[8,2,4,3,6,7,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,4,6,3,1,8,5]=>[7,2,5,3,6,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,8,4,3,7,5,1]=>[7,3,1,5,6,2,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,4,8,3,7,5,1]=>[3,7,5,1,6,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,6,3,4,1,8,5]=>[2,7,3,6,5,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,7,3,1,4,8,5]=>[7,3,2,6,8,5,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,1,8,3,5,4,6]=>[7,2,8,1,6,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,3,5,8,4,6]=>[7,8,2,6,4,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,2,6,3,1,5,4]=>[2,1,7,3,6,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,8,7,4,5,6,3]=>[8,7,1,2,5,4,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,3,7,1,5,6,2,4]=>[1,6,2,8,4,3,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,6,2,7,4,5,3]=>[1,8,3,7,2,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,5,2,6,7,4,3]=>[8,1,4,7,3,2,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,5,7,6,4,3,1]=>[7,1,4,2,3,5,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,7,8,5,2,6,4,3]=>[8,2,1,4,7,3,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,8,1,6,4,2,5,3]=>[2,1,8,3,5,7,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,6,1,5,3,2,4]=>[2,1,3,8,4,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,8,6,1,5,2,4]=>[2,6,1,3,8,4,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,7,5,6,4,3,2]=>[1,8,2,4,3,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,8,6,7,5,4,3,2]=>[8,1,3,2,4,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,3,5,2,1,4,8,7]=>[3,6,4,7,8,5,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,5,7,2,8,4,1]=>[3,6,4,2,7,1,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,3,6,1,2,8,7]=>[5,4,6,3,8,7,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,1,4,6,2,8,7]=>[6,4,8,5,3,7,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,3,4,5,7,2,1,6]=>[1,6,5,4,2,7,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,4,6,3,8,2,1]=>[4,2,5,3,6,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,4,6,3,7,1,5]=>[7,1,5,3,6,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,7,3,6,2,5]=>[1,8,5,2,6,3,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,7,5,1,2,6]=>[1,6,5,2,4,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,8,5,7,4,3,6]=>[7,8,1,4,2,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,4,7,5,8,1,2]=>[3,6,5,2,4,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,6,8,3,7,2]=>[4,8,5,3,1,6,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,3,5,8,6,2]=>[5,2,8,6,4,1,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,8,3,7,1,2,6,5]=>[5,1,6,2,8,7,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,6,4,1,7,2,5]=>[6,1,3,5,8,2,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,1,2,5,7,6,4]=>[6,1,8,7,4,2,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,8,7,5,4,1,3,6]=>[7,1,2,4,5,8,6,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,8,6,7,4,2,1,5]=>[6,1,3,2,5,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,6,8,4,2,3,1]=>[4,2,3,1,5,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,7,8,2,4,6,1]=>[4,6,2,1,7,5,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,6,2,1,4,7,5]=>[1,6,3,7,8,5,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,7,6,2,1,8,4]=>[4,6,2,3,7,8,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,3,6,2,8,7,1,4]=>[4,6,3,7,1,2,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,8,6,4,2,1,3]=>[4,2,1,3,5,7,8,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,6,7,5,4,8,1,3]=>[7,3,2,4,5,1,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,7,4,5,8,2,3]=>[3,8,2,5,4,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,3,5,1,8,2,4]=>[3,2,6,4,8,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,7,5,8,3,4]=>[7,8,3,2,4,1,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,7,3,6,8,4]=>[7,8,4,2,6,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,3,6,1,2,8,4]=>[4,2,6,3,8,7,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,7,2,5,6,8,3]=>[5,8,2,7,4,3,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,4,7,1,6,5,8,3]=>[7,5,2,8,3,4,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,1,8,7,5,3]=>[5,3,7,8,1,2,4,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,6,2,7,8,5,1]=>[6,5,3,7,2,1,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,2,5,8,7,3]=>[5,3,8,7,4,1,2,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,4,8,2,7,3]=>[4,3,8,5,1,7,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,1,8,7,2,4]=>[4,3,6,8,1,2,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,4,7,1,8,2]=>[6,4,3,5,2,8,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,1,5,7,8,2]=>[6,5,3,8,4,2,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,1,5,7,6,8,2]=>[6,5,8,4,2,3,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,7,1,6,5,4]=>[6,1,7,2,8,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,2,7,6,1,5,4]=>[6,1,7,2,3,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,2,7,6,5,1,4]=>[6,1,7,2,3,4,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,2,7,6,5,4,1]=>[6,1,7,2,3,4,5,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,8,7,2,6,5,3,1]=>[5,1,2,7,3,4,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,7,2,6,5,1,3]=>[5,1,2,7,3,4,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,7,2,6,1,5,3]=>[5,1,2,7,3,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,2,1,6,5,3]=>[5,1,2,7,8,3,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,8,7,3,1,6,5,2]=>[5,1,2,6,8,3,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,8,7,3,2,1,6,5]=>[5,1,2,6,7,8,3,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,8,7,3,2,6,1,5]=>[5,1,2,6,7,3,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,7,3,2,6,5,1]=>[5,1,2,6,7,3,4,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,8,7,3,6,2,5,1]=>[5,1,2,6,3,7,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,3,6,2,1,5]=>[5,1,2,6,3,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,7,3,6,1,5,2]=>[5,1,2,6,3,8,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,3,6,5,1,2]=>[5,1,2,6,3,4,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,7,3,6,5,2,1]=>[5,1,2,6,3,4,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,8,7,6,3,4,2,1]=>[4,1,2,3,6,5,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,8,7,6,3,1,4,2]=>[4,1,2,3,6,8,5,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,7,6,3,2,4,1]=>[4,1,2,3,6,7,5,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,7,6,2,4,3,1]=>[4,1,2,3,7,5,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,8,7,6,2,1,4,3]=>[4,1,2,3,7,8,5,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,7,6,4,2,3,1]=>[4,1,2,3,5,7,6,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,7,6,4,2,1,3]=>[4,1,2,3,5,7,8,6]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [5,8,7,6,4,1,3,2]=>[4,1,2,3,5,8,6,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,7,6,4,3,1,2]=>[4,1,2,3,5,6,8,7]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,3,4,2,1,6,5,8]=>[2,6,5,7,8,3,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,5,2,6,1,4,8]=>[2,6,4,7,3,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,5,2,6,4,1,8]=>[2,6,4,7,3,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,5,2,7,4,8,1]=>[3,6,4,7,2,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,5,1,6,4,2,8]=>[2,6,4,8,3,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,5,6,1,3,2,8]=>[2,5,4,3,8,6,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,5,7,3,2,8,6]=>[8,5,4,2,6,7,1,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,6,7,3,8,2,5]=>[8,5,3,2,6,1,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,4,5,7,3,1,8,2]=>[3,5,4,2,6,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,5,7,1,3,8,2]=>[3,5,4,2,8,6,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,1,7,4,8,2]=>[3,6,4,8,2,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,6,7,3,8,1,5]=>[7,5,3,2,6,1,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,6,7,3,8,5,2]=>[8,5,3,2,6,1,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,6,7,8,3,4,2]=>[8,4,3,2,1,6,5,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,5,6,7,8,3,1,4]=>[7,4,3,2,1,6,8,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [5,3,6,1,7,8,4,2]=>[4,6,3,8,2,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,4,6,7,1,8,3,2]=>[4,5,3,2,8,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,6,7,8,3,2,4]=>[8,4,3,2,1,6,7,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [6,4,5,7,2,1,8,3]=>[3,5,4,2,7,8,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,6,7,2,8,3,1]=>[4,5,3,2,7,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,2,7,8,4,1]=>[4,6,3,7,2,1,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,6,2,7,8,1,4]=>[4,6,3,7,2,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,5,2,7,1,8,4]=>[3,6,4,7,2,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,4,2,1,7,8,5]=>[3,6,5,7,8,2,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,4,1,2,7,8,6]=>[4,6,5,8,7,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,3,6,2,7,8,1,5]=>[5,6,3,7,2,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,6,2,7,8,5,1]=>[5,6,3,7,2,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,3,6,2,7,8,5,4]=>[8,6,3,7,2,1,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,6,7,2,8,5,3]=>[8,5,3,2,7,1,4,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,6,7,2,8,5,1]=>[6,5,3,2,7,1,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,5,7,2,1,8,6]=>[6,5,4,2,7,8,1,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,3,6,1,7,8,2,5]=>[5,6,3,8,2,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,6,7,8,2,4,3]=>[8,4,3,2,1,7,5,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,5,6,7,8,4,2,3]=>[8,4,3,2,1,5,7,6]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,6,7,1,8,5,2]=>[6,5,3,2,8,1,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,3,6,1,7,8,5,2]=>[5,6,3,8,2,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,3,6,1,7,8,5,4]=>[7,6,3,8,2,1,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,6,7,1,8,5,3]=>[7,5,3,2,8,1,4,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,6,7,8,1,4,3]=>[7,4,3,2,1,8,5,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,3,6,2,5,7,8]=>[8,5,6,3,7,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,4,3,7,2,5,6,8]=>[8,5,6,2,7,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,4,3,7,6,8,2,5]=>[8,5,6,2,3,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,3,7,5,8,2,6]=>[8,5,6,2,4,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,3,7,2,6,5,8]=>[8,5,6,2,7,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,3,7,4,8,2,6]=>[8,4,6,2,5,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,6,5,8,4,7]=>[8,6,7,3,4,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,8,2,6,3,7]=>[8,4,5,1,7,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,8,3,7,2,6]=>[8,4,5,1,6,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,3,6,5,8,4,7]=>[8,7,6,3,4,1,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,8,2,4,5,7,1,3]=>[3,1,7,5,4,2,8,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,8,4,5,2,6,1]=>[6,2,1,5,4,7,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,4,5,3,6,2]=>[2,1,8,5,4,6,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,4,1,6,5,2]=>[6,1,2,5,8,3,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,8,3,6,1,5,7,2]=>[5,1,6,3,8,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,3,1,6,4,7,2]=>[4,1,6,8,3,5,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,4,7,6,3,2]=>[4,1,8,5,2,3,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,8,4,2,6,3,5]=>[2,8,1,5,7,3,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,3,8,5,2,4,7]=>[8,3,6,1,4,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,3,8,5,2,4,7]=>[3,8,6,1,4,7,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,8,3,6,2,5,4]=>[2,8,1,6,3,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,8,4,1,6,5,3]=>[2,7,1,5,8,3,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,8,3,6,5,1,4]=>[2,7,1,6,3,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,8,2,3,6,5,4]=>[2,8,1,7,6,3,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,2,8,3,5,4,7]=>[3,8,7,1,6,4,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,3,8,4,7,6]=>[8,4,7,6,1,5,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,3,8,4,7,6]=>[4,8,7,6,1,5,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,8,1,4,7,6]=>[4,7,6,1,8,5,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,8,1,3,5,4,7]=>[3,7,1,8,6,4,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,4,1,8,7,3,5]=>[3,7,5,8,1,2,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,3,8,7,1,5,4]=>[7,3,6,1,2,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,3,8,5,1,4,7]=>[7,3,6,1,4,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,1,8,3,4,7,6]=>[7,4,8,1,6,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,1,3,8,4,7,6]=>[7,4,8,6,1,5,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,5,3,8,4,7,6]=>[8,7,4,6,1,5,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,8,3,7,6,5]=>[8,7,5,1,6,2,3,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,8,1,3,7,6,5]=>[7,5,1,8,6,2,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,8,3,7,1,6,5]=>[7,5,1,6,2,8,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,3,7,6,1,5]=>[7,5,1,6,2,3,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,8,1,7,4,6]=>[7,4,6,1,8,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,4,1,3,8,7,6]=>[7,4,5,8,6,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,5,4,8,2,7,6]=>[6,8,4,5,1,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,3,8,4,7,1,6]=>[4,7,6,1,5,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,3,7,6,1,5]=>[5,1,7,6,2,3,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,1,2,3,7,6,5]=>[5,1,8,7,6,2,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,4,8,2,3,7,6,5]=>[8,5,1,7,6,2,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,8,3,7,2,6,5]=>[8,5,1,6,2,7,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,1,2,4,7,6]=>[4,6,1,8,7,5,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,3,8,2,4,7,6]=>[4,8,6,1,7,5,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,3,8,2,4,7,6]=>[8,4,6,1,7,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,4,8,2,7,6,3]=>[8,4,5,1,7,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,4,8,2,7,6,3]=>[4,8,5,1,7,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,8,1,2,7,6,3]=>[4,5,1,8,7,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,6,2,8,7,4,3]=>[4,8,3,7,1,2,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,1,2,5,8,7,6,3]=>[5,8,7,4,1,2,3,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,4,2,5,8,7,6,3]=>[8,5,7,4,1,2,3,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,5,2,8,7,4,6]=>[8,6,4,7,1,2,5,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,2,8,7,4,6]=>[6,4,8,7,1,2,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,8,7,5,1,4]=>[6,3,7,1,2,4,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,6,1,8,7,3,5]=>[5,7,3,8,1,2,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,8,7,2,6,1,5]=>[6,5,1,2,7,3,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,8,7,1,2,6,5]=>[6,5,1,2,8,7,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,8,1,7,2,6,5]=>[6,5,1,8,2,7,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,4,8,7,2,6,5]=>[8,6,5,1,2,7,3,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,4,8,2,7,6,5]=>[8,6,5,1,7,2,3,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,8,1,2,7,6,5]=>[6,5,1,8,7,2,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,8,2,7,1,6,5]=>[6,5,1,7,2,8,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,8,2,7,6,1,5]=>[6,5,1,7,2,3,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,8,1,7,6,3]=>[5,7,4,1,8,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,2,5,8,7,6]=>[6,8,5,7,4,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,3,5,1,8,7,6,4]=>[7,6,4,8,1,2,3,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,8,2,1,5,3,6,4]=>[2,1,7,8,4,6,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,5,4,1,8,6]=>[7,6,2,4,5,8,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,8,1,5,4,2,6,3]=>[2,1,8,4,5,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,3,5,4,1,6,2]=>[2,1,6,4,5,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,2,5,4,1,3,6]=>[2,1,7,4,5,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,2,5,4,6,1,3]=>[2,1,7,4,5,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,1,4,7,8,2]=>[4,6,3,8,5,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,3,6,2,4,7,1,8]=>[4,6,3,7,5,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,7,5,8,6,1,2]=>[5,6,2,4,1,3,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,7,1,8,3,6,5]=>[5,7,2,8,1,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,7,4,8,1,5]=>[6,7,3,2,5,1,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,7,4,8,5,2]=>[6,8,3,2,5,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,6,5,3,8,4,2]=>[8,2,3,4,6,1,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,7,6,5,3,8,1,4]=>[7,2,3,4,6,1,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,5,2,4,8,3]=>[8,2,3,4,7,5,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,7,6,5,3,1,4,8]=>[7,2,3,4,6,8,5,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,7,1,4,8,3,5,6]=>[7,2,8,5,1,6,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,7,6,4,8,5,1,2]=>[6,2,3,5,1,4,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,6,3,8,4,1,2]=>[4,2,3,6,1,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,2,4,8,3,7]=>[4,8,3,7,5,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,6,5,2,1,3,8]=>[5,2,3,4,7,8,6,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [4,7,6,5,2,8,1,3]=>[5,2,3,4,7,1,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,5,1,8,3,2]=>[5,2,3,4,8,1,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,7,6,5,2,8,3,4]=>[8,2,3,4,7,1,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,5,3,2,8,4]=>[8,2,3,4,6,7,1,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,7,6,5,1,2,8,3]=>[5,2,3,4,8,7,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,7,6,5,3,1,8,2]=>[5,2,3,4,6,8,1,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,1,3,5,4,8,7,2]=>[3,8,6,4,5,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,3,4,1,7,8]=>[4,7,3,6,5,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,6,2,4,7,8,3]=>[4,8,3,7,5,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,2,6,3,4,8,7,5]=>[8,7,3,6,5,1,2,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,2,4,8,3,6,5]=>[8,2,7,5,1,6,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,2,8,3,5,7]=>[3,8,5,7,1,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,8,2,6,3,5,7]=>[5,8,1,7,3,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,2,1,5,3,6,8]=>[5,2,7,8,4,6,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,6,2,3,8,5]=>[5,2,8,3,7,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,2,6,8,3,5,4]=>[8,2,7,3,1,6,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,6,7,4,2,8,5]=>[6,8,3,2,5,7,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,8,5,4,6,1,7]=>[6,7,1,4,5,3,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,6,3,5,8,1,2]=>[5,2,3,6,4,1,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,2,5,3,8,6]=>[5,2,8,7,4,6,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,5,2,4,1,8]=>[6,2,3,4,7,5,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,5,1,4,8,2]=>[6,2,3,4,8,5,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,7,6,5,2,1,8,4]=>[6,2,3,4,7,8,1,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,7,6,5,8,2,4,3]=>[8,2,3,4,1,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,5,8,1,4,2]=>[6,2,3,4,1,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,5,1,2,4,8]=>[6,2,3,4,8,7,5,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,1,6,8,4,2,5,7]=>[6,8,3,1,5,7,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,6,8,3,5,1,2]=>[5,2,3,1,6,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,6,5,1,4,3,8]=>[7,2,3,4,8,5,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,5,8,1,3,4]=>[7,2,3,4,1,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,6,5,8,4,1,3]=>[7,2,3,4,1,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,5,1,3,7,6,4]=>[1,7,4,8,6,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,3,7,2,1,5,8,6]=>[5,6,2,7,8,4,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,7,4,2,1,8,5]=>[3,6,2,5,7,8,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,7,2,5,3,1,8,6]=>[5,2,7,4,6,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,3,2,8,1,5,7]=>[5,3,6,7,1,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,3,2,8,1,6]=>[4,2,5,6,7,1,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,3,6,4,8,1,5]=>[7,2,6,3,5,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,5,3,8,1,4]=>[3,7,2,4,6,1,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,8,5,3,6,4,2]=>[2,8,1,4,6,3,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,8,1,6,2,7,4,3]=>[4,1,8,3,7,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,6,2,3,7,5,4]=>[8,1,3,7,6,2,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,6,3,2,7,5,4]=>[8,1,3,6,7,2,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,8,3,2,7,1,6,4]=>[4,1,6,7,2,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,7,4,3,6,2]=>[8,1,4,2,5,6,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,5,7,2,4,6,3]=>[8,1,4,2,7,5,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,6,1,7,2,5,4]=>[6,1,3,8,2,7,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,6,7,1,3,2]=>[4,1,5,3,2,8,6,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,5,6,1,4,3]=>[2,7,1,4,3,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,7,5,8,2,1,4]=>[3,6,2,4,1,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,2,6,8,4,1,5]=>[6,2,7,3,1,5,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,5,8,1,4,2,7]=>[6,3,4,1,8,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,8,4,1,3,7]=>[7,3,4,1,5,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,4,7,1,3,6,5]=>[1,7,5,2,8,6,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,5,8,1,4,3,7]=>[3,7,4,1,8,5,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,8,2,1,5,7]=>[5,6,3,1,7,8,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,5,1,8,4,2,7]=>[3,6,4,8,1,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,7,4,8,5,2,1]=>[3,6,2,5,1,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,7,2,5,8,6,3,1]=>[5,2,7,4,1,3,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,4,8,1,7,6,2,3]=>[4,5,1,8,2,3,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,8,1,7,3,6,4]=>[4,7,1,8,2,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,8,2,1,7,5,3]=>[3,5,1,7,8,2,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,8,1,4,7,5,2]=>[6,3,1,8,5,2,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,3,8,1,6,4,2]=>[4,2,6,1,8,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,8,1,5,3,2]=>[3,5,2,1,8,4,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,8,7,1,3,6,4]=>[7,4,1,2,8,6,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,3,8,7,2,1,6,4]=>[4,6,1,2,7,8,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,7,6,1,5,4,2]=>[1,6,2,3,8,4,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,7,6,5,1,4,3]=>[1,7,2,3,4,8,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,3,8,7,6,2,1,5]=>[5,6,1,2,3,7,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,4,8,7,6,1,3,5]=>[7,5,1,2,3,8,6,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,5,8,7,2,6,1,4]=>[6,4,1,2,7,3,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,3,8,6,5,1,2]=>[5,2,6,1,3,4,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,8,6,4,3,2,1]=>[2,4,1,3,5,6,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [5,8,7,3,6,4,2,1]=>[4,1,2,6,3,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,7,6,2,5,3,1]=>[5,1,2,3,7,4,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,8,7,6,5,1,4,2]=>[6,1,2,3,4,8,5,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,8,7,6,5,4,1,3]=>[7,1,2,3,4,5,8,6]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [3,6,5,1,2,4,8,7]=>[6,3,4,8,7,5,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,5,8,2,4,1,6]=>[6,2,4,1,7,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,8,4,3,2,6]=>[4,8,2,1,5,6,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,2,6,4,3,8,7]=>[4,8,7,3,5,6,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,2,5,4,3,8,7]=>[3,8,7,4,5,6,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,2,4,6,3,8,7]=>[4,8,7,5,3,6,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,6,5,3,8,7]=>[5,8,7,3,4,6,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,7,8,3,2,6]=>[5,8,4,2,1,6,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,5,8,7,3,2,6]=>[5,8,4,1,2,6,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,1,8,3,6,2,5]=>[5,2,8,1,6,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,8,5,2,3,6]=>[5,8,2,1,4,7,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,7,4,8,2,3,6]=>[4,8,2,5,1,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,5,8,7,3,4,6]=>[7,8,4,1,2,6,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,8,4,7,2,3,6]=>[4,8,1,5,2,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,8,7,5,2,3,6]=>[5,8,1,2,4,7,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,7,1,6,3,2,8,5]=>[5,2,8,3,6,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,2,3,7,5,8,4]=>[3,8,7,6,2,4,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,3,8,6,5,4]=>[2,8,7,6,1,3,4,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,2,3,5,8,6,4]=>[2,8,7,6,4,1,3,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,8,1,4,3,7,2,5]=>[3,1,8,5,6,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,3,4,8,6,5]=>[7,8,2,6,5,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,3,2,4,1,6,5]=>[2,1,6,7,5,8,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,4,3,8,2,5]=>[3,2,8,5,6,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,3,5,7,6,4]=>[1,8,7,6,4,2,3,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,1,2,3,6,7,5,4]=>[1,8,7,6,3,2,4,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,3,6,8,5,4]=>[2,8,7,6,3,1,4,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,3,8,5,6,4]=>[2,8,7,6,1,4,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,2,3,7,5,6,4]=>[1,8,7,6,2,4,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,2,3,6,5,7,4]=>[1,8,7,6,3,4,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,8,5,4,3,2,6]=>[2,8,1,4,5,6,7,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,8,2,6,3,4,1,5]=>[2,1,7,3,6,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,7,3,4,1,5]=>[3,1,7,2,6,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,8,3,4,1,5]=>[3,2,7,1,6,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,7,1,4,2,6,5]=>[6,1,2,8,5,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,8,1,4,2,6,5]=>[6,2,1,8,5,7,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,8,1,4,2,7,5]=>[6,3,1,8,5,7,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,8,2,4,1,6]=>[6,4,2,1,7,5,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,1,4,2,8,5]=>[6,3,2,8,5,7,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,7,5,4,3,2,6]=>[1,8,2,4,5,6,7,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,1,7,4,5,3,2,6]=>[1,8,2,5,4,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,3,7,1,4,2,6]=>[4,1,6,2,8,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,3,4,6,8,5]=>[7,8,2,6,5,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,7,3,2,4,1,8,5]=>[3,2,6,7,5,8,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,3,5,6,8,4]=>[2,8,7,6,4,3,1,5]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,1,2,3,8,7,4,5]=>[3,8,7,6,1,2,5,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,3,7,8,6,4]=>[4,8,7,6,2,1,3,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,2,3,8,7,6,4]=>[4,8,7,6,1,2,3,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,1,2,3,8,6,7,4]=>[4,8,7,6,1,3,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,3,5,8,7,4]=>[3,8,7,6,4,1,2,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,6,3,4,8,7,5]=>[7,8,3,6,5,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,2,3,5,7,8,4]=>[3,8,7,6,4,2,1,5]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,1,2,3,6,8,7,4]=>[4,8,7,6,3,1,2,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,8,1,2,6,3,5,4]=>[2,1,8,7,3,6,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,8,2,7,3,5,6]=>[8,5,1,7,2,6,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,8,5,4,7,3,6]=>[8,7,1,4,5,2,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,8,5,4,2,7,6]=>[8,6,1,4,5,7,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,3,6,8,4,7,5,2]=>[8,6,3,1,5,2,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,8,1,7,3,6,5]=>[7,5,1,8,2,6,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,8,5,7,6,1,2]=>[6,5,1,4,2,3,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,6,8,4,5,7,3]=>[8,7,3,1,5,4,2,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [7,4,6,1,5,2,3,8]=>[2,5,3,8,4,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,4,2,6,3,5,8]=>[2,8,5,7,3,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,1,4,7,2,3,5]=>[3,1,8,5,2,7,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,3,8,5,4,2,7]=>[8,3,6,1,4,5,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,1,7,3,5,4,2]=>[3,1,8,2,6,4,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,3,6,5,4,2,8]=>[2,8,6,3,4,5,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,3,6,5,1,4,8]=>[2,7,6,3,4,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,2,3,6,5,4,8]=>[2,8,7,6,3,4,5,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,1,2,7,3,5,4]=>[3,1,8,7,2,6,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,3,8,5,4,7]=>[8,3,7,6,1,4,5,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,8,2,7,6,3,4]=>[8,4,1,7,2,3,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,2,7,6,3,4]=>[4,8,1,7,2,3,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,2,7,6,3,4,1]=>[4,1,7,2,3,6,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,8,1,7,3,5,4]=>[3,7,1,8,2,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,2,1,7,4,3,5]=>[3,1,7,8,2,5,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,3,8,5,4,7]=>[7,8,3,6,1,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,1,8,7,6,3,4]=>[7,4,8,1,2,3,6,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,3,8,7,4,6,1]=>[7,4,6,1,2,5,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,8,7,6,5,1,3]=>[7,5,1,2,3,4,8,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,5,3,8,7,1,6,4]=>[7,4,6,1,2,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,8,4,1,7,6,3]=>[7,4,1,5,8,2,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,8,7,1,4,2,6]=>[6,4,1,2,8,5,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,8,4,1,7,6,2]=>[4,6,1,5,8,2,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,2,8,7,6,5,3,1]=>[5,7,1,2,3,4,6,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [4,1,8,7,6,5,3,2]=>[5,8,1,2,3,4,6,7]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [4,3,8,7,6,5,1,2]=>[5,6,1,2,3,4,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,8,3,7,6,1,4,2]=>[4,1,6,2,3,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,3,8,7,6,2,4]=>[8,4,6,1,2,3,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,5,8,4,7,2,6,3]=>[8,4,1,5,2,7,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,4,7,2,6,3]=>[4,8,1,5,2,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,7,4,6,1,2,3]=>[4,1,2,5,3,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,3,1,2,4,8,7]=>[4,3,6,8,7,5,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,2,4,3,1,8,7]=>[4,3,7,5,6,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,1,2,4,3,8,7]=>[4,3,8,7,5,6,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,1,7,2,3,6]=>[5,4,1,8,2,7,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,1,7,2,6,3]=>[5,4,1,8,2,7,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,5,8,7,4,6]=>[8,6,7,4,1,2,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,8,7,4,6,2]=>[6,4,8,1,2,5,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,1,8,7,2,6,4]=>[6,4,8,1,2,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,1,2,8,5,7]=>[5,6,3,8,7,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,8,3,1,7,2,6]=>[5,4,1,6,8,2,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,2,8,7,1,3,6]=>[5,4,7,1,2,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,5,8,7,1,6,4]=>[6,7,4,1,2,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,8,7,6,2,1,5]=>[6,5,1,2,3,7,8,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,1,4,8,7,6,2,5]=>[6,8,5,1,2,3,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,8,7,6,5,1,2]=>[6,5,1,2,3,4,8,7]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,3,4,8,7,6,2,5]=>[8,6,5,1,2,3,7,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,2,5,8,7,4,6,1]=>[6,7,4,1,2,5,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,8,3,1,7,6,2]=>[5,4,1,6,8,2,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,7,5,8,6,4,3]=>[8,7,2,4,1,3,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,1,4,8,2,6,5,3]=>[2,8,5,1,7,3,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,1,3,7,5,2,4]=>[3,1,8,6,2,4,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,1,2,6,5,4]=>[6,2,1,8,7,3,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,7,8,2,6,5,4]=>[8,6,2,1,7,3,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,7,8,1,6,5,4]=>[7,6,2,1,8,3,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,7,8,1,3,6,5,4]=>[7,2,1,8,6,3,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,2,6,7,3,5,4]=>[1,8,7,3,2,6,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,2,6,7,5,3,4]=>[1,8,7,3,2,4,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,5,7,1,3,6,4]=>[1,7,4,2,8,6,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,1,6,7,3,5,4]=>[7,1,8,3,2,6,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,8,3,7,1,5,4]=>[7,3,1,6,2,8,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,4,7,1,5,3]=>[7,1,3,5,2,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,3,4,1,7,5,2]=>[3,1,6,5,8,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,3,7,4,1,5,2]=>[3,1,6,2,5,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,8,3,7,5,1,4]=>[7,3,1,6,2,4,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,1,6,7,5,3,4]=>[7,1,8,3,2,4,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,5,7,1,6,3,4]=>[1,7,4,2,8,3,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,7,2,3,6,1,5]=>[1,5,2,7,6,3,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,5,7,4,2,6,1,3]=>[1,4,2,5,7,3,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,5,7,4,1,6,2]=>[1,6,4,2,5,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,3,5,7,1,6,4]=>[1,7,6,4,2,8,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,4,7,3,6,1,5]=>[1,7,5,2,6,3,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,7,1,4,6,3,5]=>[1,7,2,8,5,3,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,4,7,1,3,6,2,5]=>[1,5,2,8,6,3,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,8,3,7,2,5,4]=>[8,3,1,6,2,7,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,5,7,1,2,6,4]=>[1,6,4,2,8,7,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,7,1,3,6,2,4]=>[4,1,2,8,6,3,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,6,8,2,7,5,3]=>[8,5,3,1,7,2,4,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,5,8,2,7,4,3]=>[8,3,4,1,7,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,5,6,3,1,7,4,2]=>[1,4,3,6,8,2,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,2,8,1,7,4,3]=>[4,3,7,1,8,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,4,5,7,2,6,3]=>[8,1,5,4,2,7,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,7,3,6,1,2,4]=>[4,1,2,6,3,8,7,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,3,5,7,1,6,2,4]=>[1,6,4,2,8,3,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,8,3,7,5,2,4]=>[8,3,1,6,2,4,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,8,2,7,5,1,4]=>[3,6,1,7,2,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,4,2,7,1,5,3]=>[3,1,5,7,2,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,5,7,3,1,6,2]=>[1,5,4,2,6,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,4,7,2,6,1,5]=>[1,6,5,2,7,3,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,7,2,4,6,1,5]=>[1,6,2,7,5,3,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,4,5,7,1,6,3]=>[7,1,5,4,2,8,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,7,2,3,6,1,4]=>[4,1,2,7,6,3,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,8,5,4,7,6]=>[8,6,7,1,4,5,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,8,5,3,7,1,6]=>[5,7,1,4,6,2,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,8,4,3,7,5,1]=>[3,7,1,5,6,2,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,8,4,3,1,6,5]=>[2,7,1,5,6,8,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,3,4,8,2,1,6,5]=>[2,6,5,1,7,8,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,4,8,2,7,5,1]=>[3,6,5,1,7,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,4,1,8,2,7,6]=>[4,6,5,8,1,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,5,2,3,7,6]=>[1,8,5,4,7,6,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,5,4,3,2,7,6]=>[1,8,4,5,6,7,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,5,4,2,8,1,7,6]=>[6,4,5,7,1,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,2,8,7,1,6]=>[5,4,6,7,1,2,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,2,7,8,4,1]=>[4,3,6,7,2,1,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,6,3,2,7,8,5]=>[5,8,3,6,7,2,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,4,2,7,8,1,5]=>[6,3,5,7,2,1,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,6,4,3,7,2,5]=>[1,8,3,5,6,2,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,7,4,3,6,5,2]=>[1,8,2,5,6,3,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,7,4,1,3,6,5,8]=>[7,2,5,8,6,3,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,2,6,1,5,8]=>[6,2,5,7,3,8,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,7,3,2,6,5,8]=>[5,8,2,6,7,3,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,3,2,6,4,8,1]=>[4,2,6,7,3,5,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,2,5,4,1,8]=>[3,2,6,7,4,5,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,6,2,3,8,1]=>[5,2,4,3,7,6,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,7,5,6,2,4,8]=>[6,8,2,4,3,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,7,5,6,1,3,4,8]=>[7,2,4,3,8,6,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,5,7,1,3,8,4]=>[7,3,4,2,8,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,5,7,2,8,1,3]=>[5,3,4,2,7,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,7,2,8,3,1]=>[4,3,5,2,7,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,5,7,1,8,2,3]=>[3,5,4,2,8,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,1,7,8,2,3]=>[4,5,3,8,2,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,5,6,7,2,3,4]=>[1,8,4,3,2,7,6,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,6,8,7,3,5]=>[7,8,5,3,1,2,6,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,6,8,7,1,2,5]=>[6,5,3,1,2,8,7,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,3,6,8,7,2,4,1]=>[4,6,3,1,2,7,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,5,1,8,7,2,4]=>[3,6,4,8,1,2,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,5,8,6,2,1,4]=>[2,6,4,1,3,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,8,5,6,3,1,4]=>[2,7,1,4,3,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,8,5,1,7,3,4]=>[3,7,1,4,8,2,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,2,8,6,7,4,5]=>[8,6,7,1,3,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,8,6,7,1,4,5]=>[7,6,1,3,2,8,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,3,2,6,7,4,5]=>[1,8,6,7,3,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,3,8,7,1,6,5,4]=>[7,6,1,2,8,3,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,2,8,7,6,1,5,3]=>[5,7,1,2,3,8,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,2,8,7,6,4,1,3]=>[4,7,1,2,3,5,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,3,6,1,8,5,4,2]=>[2,6,3,8,1,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,3,7,8,5,4,2,1]=>[3,6,2,1,4,5,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,3,7,8,6,4,1,2]=>[4,6,2,1,3,5,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,7,8,6,1,5,2]=>[6,5,2,1,3,8,4,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [8,1,5,7,6,2,4,3]=>[1,8,4,2,3,7,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,7,6,8,1,4,2]=>[6,4,2,3,1,8,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,6,8,3,1,2]=>[5,4,2,3,1,6,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,7,5,8,3,2,1]=>[3,5,2,4,1,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,4,6,5,1,8,3,2]=>[2,5,3,4,8,1,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,5,6,4,3,1,8,2]=>[2,4,3,5,6,8,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,6,7,5,3,8,1,2]=>[5,3,2,4,6,1,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,7,5,1,4,8,2]=>[6,3,2,4,8,5,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,1,6,7,5,4,2,3]=>[1,8,3,2,4,5,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [2,7,6,1,5,4,3,8]=>[7,2,3,8,4,5,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,6,5,1,4,2,8]=>[6,2,3,4,8,5,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,5,3,1,2,8]=>[5,2,3,4,6,8,7,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,1,4,2,3,8,6,7]=>[4,8,5,7,6,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,4,2,7,3,6,8]=>[4,8,5,7,2,6,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,5,8,2,6,3,4]=>[2,8,4,1,7,3,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,8,1,2,4,6,3]=>[4,2,1,8,7,5,3,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,8,1,3,4,6,2]=>[4,2,1,8,6,5,3,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,1,7,3,4,6,2]=>[4,1,8,2,6,5,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,5,7,2,4,6,3]=>[1,8,4,2,7,5,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,2,3,8,7,5,6]=>[8,5,7,6,1,2,4,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,2,7,6,3,5,8]=>[8,5,7,2,3,6,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,2,8,7,5,3,4]=>[3,8,7,1,2,4,6,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,2,4,8,7,5,3]=>[3,8,7,5,1,2,4,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,8,4,6,7,5,2]=>[6,8,1,5,3,2,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,2,4,6,8,5,3]=>[2,8,7,5,3,1,4,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,6,8,5,3,4]=>[2,8,7,3,1,4,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,7,8,5,3,4]=>[3,8,7,2,1,4,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,7,4,8,5,3]=>[3,8,7,2,5,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,4,7,8,5,2]=>[6,8,3,5,2,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,1,3,8,4,6,2]=>[4,2,8,6,1,5,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,8,4,2,6,3]=>[4,2,8,1,5,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,5,3,2,8,6,4]=>[2,8,4,6,7,1,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,4,5,2,8,6,3]=>[2,8,5,4,7,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,3,1,5,8,6,2]=>[5,2,6,8,4,1,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,7,3,1,5,6,2]=>[5,1,2,6,8,4,3,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,1,7,4,5,2,6,3]=>[1,8,2,5,4,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,5,3,2,6,4]=>[1,8,2,4,6,7,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,7,1,2,6,4,5]=>[1,6,2,8,7,3,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,2,8,4,7,5,6]=>[6,8,7,1,5,2,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,2,8,6,4,5,7]=>[6,8,7,1,3,5,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,7,2,6,4,5,8]=>[6,8,2,7,3,5,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,4,2,3,8,6,5,7]=>[8,5,7,6,1,3,4,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,2,3,8,5,7,6]=>[8,5,7,6,1,4,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,7,2,4,6,3]=>[4,1,8,2,7,5,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,1,3,4,7,6,2]=>[4,1,8,6,5,2,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,1,8,6,4,7,5,2]=>[6,8,1,3,5,2,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,2,6,7,4,5,3]=>[1,8,7,3,2,5,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,8,7,3,5,4]=>[3,8,7,1,2,6,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,3,5,8,4,7,6]=>[8,7,6,4,1,5,2,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,5,8,6,4,7]=>[8,7,6,4,1,3,5,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [7,1,2,8,3,6,5,4]=>[2,8,7,1,6,3,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,2,8,6,4,5,3]=>[2,8,7,1,3,5,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,8,4,6,5,2]=>[6,8,2,1,5,3,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,8,7,6,4,5,2]=>[6,8,1,2,3,5,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,2,7,4,6,5,3]=>[1,8,7,2,5,3,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,2,7,3,6,5,4]=>[1,8,7,2,6,3,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,3,5,8,7,4,6]=>[8,7,6,4,1,2,5,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,3,6,8,5,4,7]=>[8,7,6,3,1,4,5,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [7,8,5,6,3,1,4,2]=>[2,1,4,3,6,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,5,3,6,1,2,4]=>[2,1,4,6,3,8,7,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,6,3,1,4,2,8]=>[2,4,3,6,8,5,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,5,8,3,1,4,2,6]=>[2,4,1,6,8,5,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,5,3,1,4,2,6]=>[2,1,4,6,8,5,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,5,3,1,6,2,4]=>[2,1,4,6,8,3,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,5,3,1,6,4,2]=>[2,1,4,6,8,3,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,8,5,3,6,1,4,2]=>[2,1,4,6,3,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,5,3,4,1,6,2]=>[2,1,4,6,5,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,5,3,1,4,6,2]=>[2,1,4,6,8,5,3,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,5,3,1,2,6,4]=>[2,1,4,6,8,7,3,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,8,3,4,1,6,2]=>[2,4,1,6,5,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,8,3,4,6,1,2]=>[2,4,1,6,5,3,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,5,6,3,4,1,8,2]=>[2,4,3,6,5,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,6,3,1,4,8,2]=>[2,4,3,6,8,5,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,6,3,1,2,8,4]=>[2,4,3,6,8,7,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,8,3,6,4,1,2]=>[2,4,1,6,3,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,8,3,1,6,4,2]=>[2,4,1,6,8,3,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,5,8,3,1,6,2,4]=>[2,4,1,6,8,3,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,5,8,6,3,1,2,4]=>[2,4,1,3,6,8,7,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,5,8,6,3,4,1,2]=>[2,4,1,3,6,5,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,5,6,8,3,1,4,2]=>[2,4,3,1,6,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,3,8,1,2,4]=>[2,4,3,6,1,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,6,3,1,8,2,4]=>[2,4,3,6,8,1,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,5,6,3,1,8,4,2]=>[2,4,3,6,8,1,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,5,6,3,8,1,4,2]=>[2,4,3,6,1,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,6,3,8,4,1,2]=>[2,4,3,6,1,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,2,5,4,1,8,7]=>[6,3,7,4,5,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,2,8,4,7,6,1]=>[6,4,7,1,5,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,7,3,2,8,6,1]=>[4,5,2,6,7,1,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,4,8,3,2,7,6,1]=>[4,5,1,6,7,2,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,5,3,2,1,8,7]=>[3,5,4,6,7,8,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,5,8,3,2,7,6,1]=>[5,4,1,6,7,2,3,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,6,3,8,5,2,1]=>[5,2,3,6,1,4,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,6,3,7,5,2,1]=>[5,1,3,6,2,4,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,5,3,2,7,6,1]=>[5,1,4,6,7,2,3,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,8,4,3,2,7,6,1]=>[4,1,5,6,7,2,3,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,1,5,8,4,7,6,3]=>[7,8,4,1,5,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,4,3,2,8,6,1]=>[4,2,5,6,7,1,3,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,7,5,3,2,8,6,1]=>[5,2,4,6,7,1,3,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,7,8,3,6,5,2,1]=>[5,2,1,6,3,4,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,8,3,7,5,2,1]=>[5,3,1,6,2,4,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,1,8,6,7,5,4,3]=>[7,8,1,3,2,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,5,7,6,4,3,2,1]=>[1,4,2,3,5,6,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [8,4,5,3,2,7,6,1]=>[1,5,4,6,7,2,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,4,7,3,6,5,2,1]=>[1,5,2,6,3,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,4,6,3,7,5,2,1]=>[1,5,3,6,2,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,4,6,3,8,5,2,1]=>[2,5,3,6,1,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,7,2,6,8,5,4,1]=>[6,2,7,3,1,4,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,8,2,6,7,5,4,1]=>[6,1,7,3,2,4,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,8,2,5,4,7,6,1]=>[6,1,7,4,5,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,2,8,6,5,4,1]=>[6,2,7,1,3,4,5,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,6,2,8,7,5,4,1]=>[6,3,7,1,2,4,5,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,4,7,3,8,5,2,1]=>[3,5,2,6,1,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,4,8,3,7,5,2,1]=>[3,5,1,6,2,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,4,8,3,6,5,2,1]=>[2,5,1,6,3,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,4,5,3,2,8,6,1]=>[2,5,4,6,7,1,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,7,5,4,8,6,3]=>[7,8,2,4,5,1,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,4,3,6,5,2,1]=>[2,1,5,6,3,4,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,5,7,4,3,2,1]=>[3,1,4,2,5,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,8,4,3,7,5,2,1]=>[3,1,5,6,2,4,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,4,3,8,5,2,1]=>[3,2,5,6,1,4,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,8,3,5,7,1,2]=>[5,3,1,6,4,2,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,1,2,4,5,7,3]=>[3,1,8,7,5,4,2,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,5,8,2,4,7,1,6]=>[6,4,1,7,5,2,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,3,5,2,4,1,6,7]=>[1,6,4,7,5,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,5,7,3,6,1,8]=>[5,7,4,2,6,3,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,8,3,1,6,7]=>[5,4,7,1,6,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,5,8,3,7,1,6]=>[5,7,4,1,6,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,8,4,7,3,5]=>[7,8,3,1,5,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,3,6,8,4,7,1,2]=>[4,6,3,1,5,2,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,5,8,2,4,7,3]=>[8,3,4,1,7,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,2,6,8,5,7,4]=>[6,8,7,3,1,4,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,8,2,6,7,5]=>[8,5,6,1,7,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,8,3,2,1,6,7]=>[4,5,1,6,7,8,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,3,6,2,7,5,1,8]=>[5,6,3,7,2,4,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,3,2,1,8,5,7]=>[5,3,6,7,8,1,4,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,1,7,3,2,5,8,6]=>[5,8,2,6,7,4,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,5,1,2,7,8,6,4]=>[6,4,8,7,2,1,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,4,7,3,8,6,1,2]=>[4,5,2,6,1,3,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,4,7,6,3,1,2]=>[4,1,5,2,3,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,7,1,4,2,6,3]=>[4,1,2,8,5,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,5,1,2,7,6,4]=>[1,6,4,8,7,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,8,3,1,7,2,6,5]=>[5,1,6,8,2,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,3,5,2,7,6]=>[8,1,5,6,4,7,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,6,5,2,1,8]=>[5,2,6,3,4,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,7,6,4,2,1,8]=>[4,6,2,3,5,7,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,6,3,4,2,8,7,5]=>[8,3,6,5,7,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,3,6,2,7,5,4]=>[8,1,6,3,7,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,8,7,4,2,5,3]=>[8,3,1,2,5,7,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,4,8,7,5,3,1,2]=>[3,5,1,2,4,6,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,7,6,2,8,4,5,3]=>[8,2,3,7,1,5,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,2,6,8,5,4]=>[2,8,6,7,3,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,5,3,2,7,4,8,6]=>[8,4,6,7,2,5,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,3,7,4,1,8]=>[4,7,3,6,2,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,5,3,1,6,4,7]=>[7,1,4,6,8,3,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,1,7,3,8,5,4,6]=>[7,8,2,6,1,4,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,2,3,7,8,5,4]=>[8,3,7,6,2,1,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,7,2,8,4,5,3]=>[8,3,2,7,1,5,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,8,2,4,6,3]=>[4,2,8,1,7,5,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,7,8,3,6,4]=>[4,8,7,2,1,6,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,7,8,6,3,5]=>[7,5,8,2,1,3,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,8,4,3,1,5,7]=>[3,7,1,5,6,8,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,8,3,2,5,6,1,4]=>[2,1,6,7,4,3,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,8,2,4,5,6,3]=>[2,8,1,7,5,4,3,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,3,7,6,2,1,4,5]=>[1,6,2,3,7,8,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,2,8,7,5,1,4,6]=>[6,7,1,2,4,8,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,3,6,5,2,1,4,7]=>[1,6,3,4,7,8,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,4,6,2,5,3,1,8]=>[2,5,3,7,4,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,4,1,6,5,3,7]=>[1,7,5,8,3,4,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,8,1,7,5,3,6]=>[5,7,1,8,2,4,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,4,1,7,6,3,5]=>[1,7,5,8,2,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,7,3,6,4,1,2]=>[1,4,2,6,3,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,3,7,5,4,1,2]=>[3,1,6,2,4,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,6,7,5,2,4,3]=>[1,8,3,2,4,7,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,2,6,4,3,7,5]=>[1,8,7,3,5,6,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,7,5,4,3,6]=>[7,1,8,2,4,5,6,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,1,8,6,4,3,7]=>[7,4,8,1,3,5,6,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,2,6,4,3,1,8]=>[4,2,7,3,5,6,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,7,5,4,3,1,8]=>[3,7,2,4,5,6,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,1,8,6,5,4,3,7]=>[7,8,1,3,4,5,6,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,2,7,5,4,3,8,6]=>[8,7,2,4,5,6,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,2,4,3,8,6,5]=>[8,2,7,5,6,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,2,8,3,6,5,4]=>[8,2,7,1,6,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,8,6,5,2,4,3]=>[8,2,1,3,4,7,5,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,3,8,6,5,4,1,2]=>[2,6,1,3,4,5,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,8,7,6,5,2,4,3]=>[8,1,2,3,4,7,5,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,1,7,3,2,6,5,4]=>[1,8,2,6,7,3,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,1,4,3,2,8,7,6]=>[4,8,5,6,7,1,2,3]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,3,2,7,5,1,8]=>[5,3,6,7,2,4,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,7,2,5,8,6]=>[8,5,6,2,7,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,8,3,1,6,2,5]=>[2,5,1,6,8,3,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,5,8,3,2,6,4]=>[2,8,4,1,6,7,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,4,1,8,2,6,3]=>[4,2,5,8,1,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,3,1,8,6,2]=>[4,2,5,6,8,1,3,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,7,2,5,4,6,3]=>[8,1,2,7,4,5,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,3,7,2,6,4]=>[8,1,4,6,2,7,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,8,6,3,5,2,7]=>[8,5,1,3,6,4,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,4,6,3,5,2,1,8]=>[2,5,3,6,4,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,3,5,6,8,4,2,7]=>[8,6,4,3,1,5,7,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,5,4,8,7,1,2,6]=>[6,4,5,1,2,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,4,6,8,7,2,5]=>[6,8,5,3,1,2,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,2,4,8,7,5,3]=>[8,3,7,5,1,2,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,6,4,8,5,2,3]=>[2,8,3,5,1,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,6,8,5,1,2,4]=>[2,6,3,1,4,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,7,2,6,8,4,5]=>[8,6,2,7,3,1,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,5,2,8,1,4,7]=>[6,3,4,7,1,8,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,5,7,2,4,1,8]=>[6,3,4,2,7,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,3,8,1,5,7]=>[5,7,3,6,1,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,6,7,3,5,1,8]=>[5,7,3,2,6,4,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,2,4,7,5,1,8]=>[6,3,7,5,2,4,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,4,1,8,5,7]=>[6,3,7,5,8,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,8,2,1,6,4,5]=>[2,6,1,7,8,3,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,5,2,1,8,6,4]=>[2,6,4,7,8,1,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,7,2,1,4,6,5]=>[6,1,2,7,8,5,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,2,7,1,5,4,6]=>[6,1,7,2,8,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,8,2,1,5,4,7]=>[6,3,1,7,8,4,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,8,1,6,5,3,7]=>[7,5,1,8,3,4,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,1,5,7,3,6]=>[5,7,1,8,4,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,5,7,6,1,4,2,3]=>[1,4,2,3,8,5,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,2,8,7,3,5,4]=>[8,3,7,1,2,6,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,2,4,6,7,3,5]=>[8,1,7,5,3,2,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,8,5,4,7,1,3,6]=>[7,1,4,5,2,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,5,8,6,4,3,7]=>[7,8,4,1,3,5,6,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,5,6,4,3,1,8]=>[2,7,4,3,5,6,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,2,5,7,8,4,3,6]=>[8,7,4,2,1,5,6,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,8,3,6,5,4]=>[8,7,2,1,6,3,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,1,8,6,3,5,4,2]=>[2,8,1,3,6,4,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,7,6,3,5,2,4]=>[8,1,2,3,6,4,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,7,4,6,3,2,5]=>[8,1,2,5,3,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,8,3,4,6,2]=>[2,8,4,1,6,5,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,6,4,2,3,5,8]=>[2,8,3,5,7,6,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,7,1,4,5,8,3,6]=>[7,2,8,5,4,1,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,6,4,5,2,3,8]=>[2,8,3,5,4,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,4,5,6,8,2,3]=>[2,8,5,4,3,1,7,6]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,4,6,5,8,3,2]=>[2,8,5,3,4,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,2,3,8,5,4,6]=>[2,8,7,6,1,4,5,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,4,3,8,2,6]=>[2,8,4,5,6,1,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,3,4,2,6,8,5]=>[2,8,6,5,7,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,4,6,2,8,3]=>[2,8,4,5,3,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,5,6,4,3,8,2]=>[2,8,4,3,5,6,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,5,4,3,2,8]=>[2,8,3,4,5,6,7,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,5,1,4,7,8,6,3]=>[7,4,8,5,2,1,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,5,1,4,8,6,2,7]=>[6,4,8,5,1,3,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,4,7,8,1,5]=>[6,3,7,5,2,1,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,4,8,7,1,3]=>[4,3,7,5,1,2,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,8,2,4,7,1,5]=>[3,6,1,7,5,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,8,7,2,3,1,4]=>[3,4,1,2,7,6,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,5,7,8,2,4,1,3]=>[3,4,2,1,7,5,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,2,8,5,1,7]=>[3,6,5,7,1,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,7,2,5,8,1,6]=>[6,5,2,7,4,1,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,8,1,3,5,2,7]=>[5,3,1,8,6,4,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,8,1,2,7,5,6]=>[5,6,1,8,7,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,4,1,7,2,5,8]=>[6,3,5,8,2,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,3,1,5,6,4,7]=>[7,1,6,8,4,3,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,7,1,5,4,2,6]=>[6,1,2,8,4,5,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,7,5,6,8,2]=>[6,5,8,2,4,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,1,5,7,6,2,8]=>[6,5,8,4,2,3,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,4,1,6,2,8,5]=>[6,2,5,8,3,7,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,7,2,5,3,6,1]=>[1,5,2,7,4,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,8,1,2,3,6,5]=>[5,2,1,8,7,6,3,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,6,1,5,3,7,4]=>[7,1,3,8,4,6,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,6,4,1,3,8,5]=>[2,7,3,5,8,6,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,5,2,1,3,8,4]=>[3,2,4,7,8,6,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,4,5,3,7,2,6,1]=>[1,5,4,6,2,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,5,2,8,1,6,3]=>[5,2,4,7,1,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,3,1,5,7,8]=>[7,3,5,6,8,4,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,3,8,4,1,5,2,6]=>[2,6,1,5,8,4,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,3,4,1,6,5,8]=>[2,7,6,5,8,3,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,8,3,6,1,5,7]=>[5,7,1,6,3,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,5,7,2,1,3,4]=>[3,1,4,2,7,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,5,2,7,1,3,6]=>[5,1,4,7,2,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,5,2,1,7,4,8]=>[3,6,4,7,8,2,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,5,4,2,8,1,7]=>[6,3,4,5,7,1,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,6,4,7,2,5,3,8]=>[8,3,5,2,7,4,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,4,8,2,5,3,7]=>[8,3,5,1,7,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,5,8,2,4,3,7]=>[8,3,4,1,7,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,8,2,4,3,7,5]=>[8,3,1,7,5,6,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,4,3,7,8,5]=>[8,3,7,5,6,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,6,2,4,7,3,8]=>[8,4,3,7,5,2,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,6,2,4,7,8,3]=>[8,4,3,7,5,2,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,8,2,4,7,3,6]=>[8,4,1,7,5,2,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,7,2,4,8,3,6]=>[8,4,2,7,5,1,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,5,7,2,4,3,8]=>[8,3,4,2,7,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,7,2,4,3,8,5]=>[8,3,2,7,5,6,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,6,7,2,4,8,3]=>[8,4,3,2,7,5,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,8,2,4,6,7,3]=>[8,4,1,7,5,3,2,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,7,2,4,6,8,3]=>[8,4,2,7,5,3,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,7,8,3,2,4,6]=>[8,4,2,1,6,7,5,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,8,3,2,4,6,7]=>[8,4,1,6,7,5,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,5,6,2,4,8,3,7]=>[8,4,3,7,5,1,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,3,4,2,8,6,5]=>[8,2,6,5,7,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,2,4,3,8,7,5]=>[8,3,7,5,6,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,6,2,4,8,7,3]=>[8,4,3,7,5,1,2,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,8,7,3,2,4,6]=>[8,4,1,2,6,7,5,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,2,3,5,8,7,6]=>[8,5,7,6,4,1,2,3]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,5,2,3,4,8,7,6]=>[8,4,7,6,5,1,2,3]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,5,2,3,8,7,4]=>[8,3,4,7,6,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,4,2,8,6,5,3]=>[8,2,5,7,1,3,4,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,6,5,2,8,4,3]=>[8,2,3,4,7,1,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,6,7,5,2,3,8,4]=>[8,3,2,4,7,6,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,5,2,8,4,3,6]=>[8,2,4,7,1,5,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,5,6,2,8,3,4]=>[8,2,4,3,7,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,7,6,2,4,8,3]=>[8,4,2,3,7,5,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,8,3,2,4,7,6]=>[8,4,1,6,7,5,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,5,2,3,7,4,8]=>[8,3,4,7,6,2,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,5,2,3,7,8,4]=>[8,3,4,7,6,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,8,4,2,3,7,5]=>[8,3,1,5,7,6,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,4,6,2,8,3,5]=>[8,2,5,3,7,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,5,2,8,4,6]=>[8,2,6,4,7,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,8,5,2,3,7,4]=>[8,3,1,4,7,6,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,4,2,3,7,8,5]=>[8,3,5,7,6,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,4,2,3,7,5,8]=>[8,3,5,7,6,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,7,3,2,4,8,6]=>[8,4,2,6,7,5,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,3,4,2,8,5,6]=>[8,2,6,5,7,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,4,2,8,5,3,6]=>[8,2,5,7,1,4,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,7,4,2,3,8,5]=>[8,3,2,5,7,6,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,4,2,3,8,5,7]=>[8,3,5,7,6,1,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,6,4,2,8,5,3]=>[8,2,3,5,7,1,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,7,5,2,8,6,4,3]=>[8,2,4,7,1,3,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,4,2,3,8,7,5]=>[8,3,5,7,6,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,5,6,1,4,8,2]=>[2,6,4,3,8,5,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,5,6,1,4,8,2]=>[6,2,4,3,8,5,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,1,4,2,8,5,7]=>[6,3,8,5,7,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,1,6,7,8,2]=>[6,4,5,8,3,2,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,1,6,3,5,8,2]=>[5,2,8,3,6,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,4,7,6,5,8,2]=>[6,8,5,2,3,4,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,4,3,5,8,2]=>[2,8,3,5,6,4,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,6,4,3,5,8,2]=>[8,2,3,5,6,4,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,1,6,4,2,7,5,3]=>[1,8,3,5,7,2,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,7,1,3,8,2,5,6]=>[5,2,8,6,1,7,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,8,1,2,6,5,3]=>[5,2,1,8,7,3,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,1,4,2,7,5,3]=>[3,1,8,5,7,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,6,4,2,7,5,3]=>[8,1,3,5,7,2,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,8,1,3,7,2,5,6]=>[5,1,8,6,2,7,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,5,7,3,2,1,4]=>[3,1,4,2,6,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,3,4,7,6,1,5]=>[7,1,6,5,2,3,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,4,6,2,1,5]=>[6,2,1,5,3,7,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,4,6,8,2,1,5]=>[6,2,5,3,1,7,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,7,8,6,1,5]=>[7,5,6,2,1,3,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,6,8,3,2,1,4]=>[4,2,3,1,6,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,3,4,8,6,1,7]=>[7,4,6,5,1,3,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,4,8,2,1,6]=>[6,2,4,5,1,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,4,2,8,5,6]=>[2,8,6,5,7,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,4,3,8,2,5,7]=>[3,8,5,6,1,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,7,3,8,2,5,6]=>[5,8,2,6,1,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,4,3,7,2,5,6]=>[1,8,5,6,2,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,3,4,7,6,1,5]=>[1,7,6,5,2,3,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,3,7,8,6,1,5]=>[5,7,6,2,1,3,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,3,4,8,6,1,7]=>[4,7,6,5,1,3,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,5,6,3,8,1,4]=>[7,2,4,3,6,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,2,6,3,8,1,4]=>[4,2,7,3,6,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,2,6,8,4,1,3]=>[4,2,7,3,1,5,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,3,8,5,6,1,7]=>[5,7,6,1,4,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,3,8,7,6,1,4]=>[4,7,6,1,2,3,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,3,7,5,6,1,4]=>[1,7,6,2,4,3,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,8,3,7,2,5,4]=>[3,8,1,6,2,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,8,4,2,6,5,3]=>[8,2,1,5,7,3,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,1,8,2,5,6,3]=>[5,2,8,1,7,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,4,8,5,2,1,6]=>[6,2,5,1,4,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,3,8,5,6,1,7]=>[7,5,6,1,4,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,8,6,3,2,1,4]=>[2,4,1,3,6,7,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,5,8,7,3,2,1,4]=>[3,4,1,2,6,7,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,5,7,6,3,2,1,4]=>[1,4,2,3,6,7,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,5,3,8,7,6,1,4]=>[7,4,6,1,2,3,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,5,8,6,2,1,4]=>[6,2,4,1,3,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,8,6,5,2,1,4]=>[6,2,1,3,4,7,8,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,8,7,3,6,2,5,4]=>[8,1,2,6,3,7,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,7,5,3,2,1,4]=>[3,1,2,4,6,7,8,5]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [5,7,6,8,3,4,1,2]=>[4,2,3,1,6,5,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,6,8,4,5,1,2]=>[6,2,3,1,5,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,7,6,8,2,3]=>[8,4,5,2,3,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,4,6,5,8,2,3]=>[8,2,5,3,4,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,6,5,8,1,2]=>[6,2,5,3,4,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,8,6,7,1,2]=>[6,4,5,1,3,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,6,5,7,1,2]=>[6,1,5,3,4,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,4,7,5,8,1,2]=>[6,3,5,2,4,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,7,5,8,3,4]=>[8,3,7,2,4,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,4,8,5,7,2,3]=>[8,3,5,1,4,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,6,5,7,2,3]=>[8,1,5,3,4,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,8,6,7,2,3]=>[8,4,5,1,3,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,5,4,6,2,3]=>[2,1,8,4,5,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,5,2,4,3,6]=>[2,1,8,4,7,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,6,5,7,3,4]=>[8,1,7,3,4,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,8,5,6,3,4]=>[8,2,7,1,4,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,6,5,8,3,4]=>[8,2,7,3,4,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,7,6,8,3,4]=>[8,4,7,2,3,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,6,8,2,5,3,4]=>[8,2,3,1,7,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,6,8,4,5,2,3]=>[8,2,3,1,5,4,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,6,8,1,4,2,3]=>[4,2,3,1,8,5,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,5,6,1,3,2,4]=>[2,1,4,3,8,6,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,6,7,1,3,2,4]=>[4,1,3,2,8,6,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,7,6,8,4,5]=>[8,6,7,2,3,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,6,8,2,4,3,5]=>[8,2,3,1,7,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,3,2,6,4,5]=>[2,1,8,6,7,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,6,2,4,3,5]=>[2,1,8,3,7,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,6,7,2,4,3,5]=>[8,1,3,2,7,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,4,2,6,3,5]=>[2,1,8,5,7,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,4,2,5,3,6]=>[2,1,8,5,7,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,1,4,3,6,5]=>[2,1,7,8,5,6,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,2,4,3,5,6]=>[2,1,8,7,5,6,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,6,5,8,7,1,2]=>[5,6,3,4,1,2,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,6,5,7,8,1,2]=>[6,5,3,4,2,1,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,3,8,7,4,5]=>[8,3,7,6,1,2,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,3,2,8,6,5]=>[8,2,5,6,7,1,3,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,4,7,6,2,5,8,3]=>[8,5,2,3,7,4,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,6,5,3,7,4,8]=>[8,7,3,4,6,2,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,6,5,3,7,8,4]=>[8,7,3,4,6,2,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,7,5,2,6,8,4]=>[8,6,2,4,7,3,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,7,4,2,6,8,5]=>[8,6,2,5,7,3,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,6,4,3,7,8,5]=>[8,7,3,5,6,2,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,6,4,3,7,5,8]=>[8,7,3,5,6,2,4,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,7,3,2,5,8,6]=>[8,5,2,6,7,4,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,3,2,5,8,6,7]=>[8,5,6,7,4,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,2,4,8,6,7]=>[8,4,6,7,5,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,5,3,2,8,6,4]=>[8,2,4,6,7,1,3,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,5,3,2,4,8,7,6]=>[8,4,6,7,5,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,5,4,3,2,1,7]=>[3,1,4,5,6,7,8,2]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,1,5,4,3,8,6,2]=>[2,8,4,5,6,1,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,5,4,8,1,7,2]=>[6,3,4,5,1,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,4,3,2,7,5]=>[3,1,8,5,6,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,5,4,3,7,1,6]=>[7,1,4,5,6,2,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,8,3,1,7,2]=>[5,3,4,1,6,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,5,1,3,2,7,4]=>[3,1,4,8,6,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,2,4,3,7,6,5]=>[8,1,7,5,6,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,5,4,7,2,1,6]=>[6,1,4,5,2,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,4,8,7,5,2]=>[8,3,6,5,1,2,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,4,5,8,3,7,6,2]=>[8,5,4,1,6,2,3,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,8,5,4,1,2,7,3]=>[3,1,4,5,8,7,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,5,2,3,7,6,4]=>[8,1,4,7,6,2,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,2,4,3,7,1,5]=>[3,1,7,5,6,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,4,7,2,6,5]=>[8,1,6,5,2,7,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,5,8,4,3,2,1,6]=>[2,4,1,5,6,7,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,8,5,7,3,2,1,6]=>[5,1,4,2,6,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,7,6,8,4,3,2]=>[4,8,2,3,1,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,4,8,5,2,7,1,3]=>[3,5,1,4,7,2,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,8,6,7,4,3,2]=>[4,8,1,3,2,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,4,7,5,2,6,1,3]=>[1,5,2,4,7,3,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,6,8,2,1,7,3]=>[4,5,3,1,7,8,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,5,8,1,2,7,3]=>[3,5,4,1,8,7,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,6,5,2,1,8,3]=>[2,5,3,4,7,8,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,4,6,5,2,1,7,3]=>[1,5,3,4,7,8,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,7,5,6,1,3,2]=>[5,1,2,4,3,8,6,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,1,8,4,3,6]=>[7,2,4,8,1,5,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,7,4,2,3,6]=>[4,8,1,2,5,7,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,8,6,7,4,3,5,1]=>[7,1,3,2,5,6,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,5,2,4,1,8,7]=>[6,3,4,7,5,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,6,4,1,8,7]=>[4,7,6,3,5,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,4,5,3,2,8,7]=>[3,8,5,4,6,7,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,7,1,4,6,5,2]=>[6,1,2,8,5,3,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,1,2,4,3,8,6]=>[4,2,8,7,5,6,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,7,6,8,2,5,1]=>[5,6,2,3,1,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,8,1,7,2,4]=>[4,6,3,1,8,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,8,5,7,1,4]=>[6,7,3,1,4,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,2,4,8,5,1]=>[3,6,2,7,5,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,4,8,6,5,2,1,3]=>[2,5,1,3,4,7,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,1,8,2,5,4,3,6]=>[2,8,1,7,4,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,3,7,4,1,8,6]=>[7,4,6,2,5,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,4,7,5,1,8,2]=>[6,3,5,2,4,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,7,6,2,3,1,5]=>[1,5,2,3,7,6,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,7,1,2,5,6,3]=>[1,5,2,8,7,4,3,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,8,7,3,5,6,1]=>[5,7,1,2,6,4,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,7,4,2,5,6,3]=>[1,8,2,5,7,4,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,5,8,7,3,6,1,4]=>[7,4,1,2,6,3,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,1,5,8,7,4,6,3]=>[7,8,4,1,2,5,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,5,6,7,4,1,2]=>[1,6,4,3,2,5,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,7,1,8,5,6,3]=>[5,7,2,8,1,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,2,8,5,6,3]=>[5,8,2,7,1,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,8,7,3,5,6,1]=>[7,5,1,2,6,4,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,8,3,1,5,6,2]=>[5,2,1,6,8,4,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,7,2,8,5,6,1]=>[6,5,2,7,1,4,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,4,8,5,6,2]=>[6,2,8,5,1,4,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,4,8,5,6,1]=>[2,7,6,5,1,4,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,5,2,7,4,3]=>[3,8,1,4,7,2,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,7,4,5,8,6,3]=>[7,8,2,5,4,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,8,3,6,7,5,4]=>[7,8,1,6,3,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,2,6,4,1,5,3]=>[2,1,7,3,5,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,3,5,8,7,1,4]=>[7,3,6,4,1,2,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,2,7,6,1,8,3]=>[5,4,7,2,3,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,8,4,7,2,3]=>[4,8,3,1,5,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,8,7,5,2,1,4]=>[6,3,1,2,4,7,8,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,4,8,6,5,2,3,1]=>[2,5,1,3,4,7,6,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,6,4,7,3,2,5]=>[1,8,3,5,2,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,4,8,5,3,7,1]=>[7,3,5,1,4,6,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,5,8,4,2,1,6]=>[2,6,4,1,5,7,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,5,8,4,1,7,6]=>[6,7,4,1,5,8,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,7,1,5,2,3,6]=>[1,5,2,8,4,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,7,5,6,1,2,3]=>[5,1,2,4,3,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,4,8,7,3,5,2]=>[3,8,5,1,2,6,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,8,4,3,5,6,1]=>[2,7,1,5,6,4,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,7,8,1,3,5,6,2]=>[5,2,1,8,6,4,3,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,2,7,3,5,6,1]=>[5,1,7,2,6,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,8,7,2,5,6,4]=>[6,8,1,2,7,4,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,1,7,2,5,6,4]=>[6,1,8,2,7,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,3,7,1,5,6,4]=>[1,7,6,2,8,4,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,8,7,1,3,2,5]=>[3,5,1,2,8,6,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,4,6,7,3,1,5]=>[7,1,5,3,2,6,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,3,8,2,7,6,1,5]=>[5,6,1,7,2,3,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,4,2,1,3,7,5]=>[3,1,5,7,8,6,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,2,4,3,5,6,1]=>[2,1,7,5,6,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,3,7,1,5,6,4]=>[7,1,6,2,8,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,2,7,3,5,6,4]=>[1,8,7,2,6,4,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,8,6,2,1,4,7]=>[4,6,1,3,7,8,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,6,5,2,8,3,1,7]=>[5,3,4,7,1,6,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,7,5,1,8,2,6]=>[5,6,2,4,8,1,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,5,2,7,4,3,1]=>[3,1,4,7,2,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,8,1,4,5,2,7]=>[6,3,1,8,5,4,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,1,2,4,5,3,7]=>[3,1,8,7,5,4,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,6,2,4,5,3,7]=>[1,8,3,7,5,4,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,6,1,2,5,4,7]=>[6,1,3,8,7,4,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,1,6,2,3,4,7]=>[4,1,8,3,7,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,6,5,8,2,3,7]=>[5,8,3,4,1,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,3,8,6,2,5,1,7]=>[5,6,1,3,7,4,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,6,1,4,5,2,7]=>[1,6,3,8,5,4,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,3,6,8,4,5,1,7]=>[7,6,3,1,5,4,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,7,5,4,3,8,1,6]=>[7,2,4,5,6,1,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,8,7,4,2,5,1]=>[3,6,1,2,5,7,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,4,3,7,6,1,2]=>[4,1,5,6,2,3,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,3,8,6,2,5]=>[8,2,5,6,1,3,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,3,4,8,2,6]=>[2,8,4,6,5,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,6,1,7,4,5,3]=>[7,1,3,8,2,5,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,5,7,2,1,3]=>[5,1,3,4,2,7,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,8,2,1,5,3]=>[5,2,3,1,7,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,8,7,4,3,5,2]=>[3,8,1,2,5,6,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,5,8,6,3,4,7,2]=>[8,4,1,3,6,5,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,6,3,4,7,1]=>[7,4,1,3,6,5,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,1,3,8,5,6,7,2]=>[5,8,6,1,4,3,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,5,8,4,3,1,7,2]=>[3,4,1,5,6,8,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,6,5,2,8,1,7,3]=>[5,3,4,7,1,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,1,3,6,4,5]=>[2,7,1,8,6,3,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,5,2,3,6,7,4]=>[8,1,4,7,6,3,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,8,3,2,5,6,7,4]=>[8,1,6,7,4,3,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,3,1,5,6,7,4]=>[7,1,6,8,4,3,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,3,2,5,6,7,1]=>[5,1,6,7,4,3,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,2,3,1,5,6,7,4]=>[1,7,6,8,4,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,8,3,5,6,7,4]=>[7,8,1,6,4,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,4,8,2,3,6,7,5]=>[8,5,1,7,6,3,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,7,8,6,4,5]=>[6,8,7,2,1,3,5,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,1,2,4,7,6]=>[6,4,1,8,7,5,2,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,8,1,2,3,7,6]=>[5,4,1,8,7,6,2,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,4,1,2,6,7,5]=>[6,1,5,8,7,3,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,4,8,2,3,6,7,1]=>[4,5,1,7,6,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,3,6,7,4,1,2]=>[4,1,6,3,2,5,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,6,8,4,7,5]=>[7,6,8,3,1,5,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,7,1,8,5,6]=>[7,5,6,2,8,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,7,3,2,8,5,6]=>[8,5,2,6,7,1,4,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,1,4,3,8,5,6]=>[7,2,8,5,6,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,8,6,3,7,5]=>[7,5,8,1,3,6,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,5,1,7,2,3,4]=>[3,1,4,8,2,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,6,5,8,2,1,4]=>[2,6,3,4,1,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,8,7,3,6,1,2]=>[5,4,1,2,6,3,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,2,8,6,1,7,4]=>[6,4,7,1,3,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,5,6,1,4,7,3]=>[1,7,4,3,8,5,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,8,3,7,5,4]=>[7,3,8,1,6,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,1,6,2,8,5,3]=>[5,2,8,3,7,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,5,3,8,7,2,4]=>[3,8,4,6,1,2,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,6,3,7,1,5,4]=>[7,1,3,6,2,8,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,8,5,1,2,7,4]=>[6,3,1,4,8,7,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,1,4,8,2,6,7,3]=>[4,8,5,1,7,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,2,5,1,6,7,3]=>[5,1,7,4,8,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,8,5,2,6,7,1]=>[6,5,1,4,7,3,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,4,8,2,6,7,3]=>[8,4,5,1,7,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,4,5,1,6,7,3]=>[7,1,5,4,8,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,8,3,7,6,1,2]=>[4,5,1,6,2,3,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,5,8,6,2,7,4]=>[6,8,4,1,3,7,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,4,8,5,1,7,2]=>[3,6,5,1,4,8,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,4,8,1,6,7,2]=>[4,6,5,1,8,3,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,8,4,1,2,6,3]=>[2,4,1,5,8,7,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,8,4,6,1,3,2]=>[2,4,1,5,3,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,4,7,3,5,2]=>[1,8,3,5,2,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,4,3,7,6,2]=>[1,8,4,5,6,2,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,5,4,3,7,2,6]=>[1,8,4,5,6,2,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,5,4,3,2,6,7]=>[1,8,4,5,6,7,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,1,6,4,2,5,3,7]=>[1,8,3,5,7,4,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,6,8,1,4,3,2,5]=>[2,3,1,8,5,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,7,2,5,4,3,6]=>[1,8,2,7,4,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,7,2,5,4,6,3]=>[1,8,2,7,4,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,4,2,5,7,3]=>[1,8,3,5,7,4,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,5,4,3,6,2,7]=>[1,8,4,5,6,3,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,5,4,3,6,7,2]=>[1,8,4,5,6,3,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,3,8,4,5,1,2]=>[3,2,6,1,5,4,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,4,5,1,8,2,3]=>[3,2,5,4,8,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,5,6,2,3,1,8]=>[5,2,4,3,7,6,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,5,6,1,8,2,3]=>[5,2,4,3,8,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,5,6,3,8,1,2]=>[5,2,4,3,6,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,5,8,4,6,1,2]=>[6,2,4,1,5,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,8,6,7,1,2]=>[5,4,6,1,3,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,6,5,7,1,2]=>[5,1,6,3,4,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,7,1,8,2,3]=>[4,3,5,2,8,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,1,7,3,8,2,4]=>[4,3,8,2,6,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,1,8,4,7,2,3]=>[4,3,8,1,5,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,1,6,5,7,2,3]=>[5,1,8,3,4,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,8,6,7,2,3]=>[5,4,8,1,3,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,5,1,6,2,3]=>[2,1,5,4,8,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,3,1,6,5,7]=>[5,1,7,6,8,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,8,1,4,3,7]=>[4,3,7,1,8,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,4,1,8,2,7]=>[4,3,6,5,8,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,4,5,2,7,1,8]=>[6,3,5,4,7,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,4,5,1,8,2,7]=>[6,3,5,4,8,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,6,1,5,4,7]=>[7,1,6,3,8,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,4,1,6,5,7]=>[7,1,6,5,8,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,5,3,4,1,6]=>[2,1,7,4,6,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,5,3,6,2,4]=>[2,1,8,4,6,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,3,8,6,7,2,4]=>[8,4,6,1,3,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,6,2,7,4,5]=>[8,1,6,3,7,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,4,8,2,7,3,5]=>[8,3,5,1,7,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,7,3,5,1,8]=>[7,3,5,2,6,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,3,6,4,5,1,8]=>[7,2,6,3,5,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,6,4,8,2,5]=>[8,2,6,3,5,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,8,4,6,3,5]=>[8,2,7,1,5,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,5,8,4,6,2,3]=>[8,2,4,1,5,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,5,8,2,6,3,4]=>[8,2,4,1,7,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,5,6,3,8,2,4]=>[8,2,4,3,6,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,5,6,3,4,1,8]=>[7,2,4,3,6,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,5,3,4,1,8]=>[3,2,7,4,6,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,5,3,8,2,4]=>[3,2,8,4,6,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,8,1,4,2,3]=>[3,2,4,1,8,5,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,6,7,2,3,1,4]=>[4,1,3,2,7,6,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,3,1,8,4,5]=>[3,2,7,6,8,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,8,1,4,3,5]=>[3,2,7,1,8,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,2,7,5,6,1,8]=>[6,5,7,2,4,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,7,5,8,2,6]=>[6,5,8,2,4,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,5,8,1,4,3,6]=>[7,2,4,1,8,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,7,5,8,4,6]=>[7,6,8,2,4,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,8,4,7,5,6]=>[7,6,8,1,5,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,3,1,6,4,5]=>[2,1,7,6,8,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,6,1,4,3,5]=>[2,1,7,3,8,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,7,1,4,3,5]=>[7,1,3,2,8,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,1,4,3,7,5,6]=>[7,1,8,5,6,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,5,4,6,1,8]=>[6,2,7,4,5,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,7,3,6,1,8]=>[5,4,7,2,6,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,8,2,7,3,6]=>[5,4,8,1,7,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,8,2,7,5,6]=>[6,5,8,1,7,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,8,6,7,2,5]=>[6,5,8,1,3,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,2,5,1,8,6,7]=>[6,5,7,4,8,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,2,8,1,6,5,7]=>[6,5,7,1,8,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,2,5,1,6,4,7]=>[6,1,7,4,8,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,8,1,6,3,7]=>[5,4,7,1,8,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,6,1,8,2,7]=>[5,4,6,3,8,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,8,4,6,2,3]=>[2,8,4,1,5,3,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,6,7,1,4,2,5,3]=>[1,3,2,8,5,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,2,4,1,5,3]=>[1,3,2,7,5,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,2,1,4,3,6]=>[1,4,2,7,8,5,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,7,3,1,4,2,6]=>[4,1,2,6,8,5,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,7,3,1,4,6,2]=>[4,1,2,6,8,5,3,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,5,7,2,1,4,6,3]=>[1,4,2,7,8,5,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,5,7,4,1,6,2,3]=>[1,4,2,5,8,3,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,7,4,1,2,6,3]=>[1,4,2,5,8,7,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,5,4,2,7,6,3]=>[1,8,4,5,7,2,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,6,4,7,2,5,3]=>[1,8,3,5,2,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,5,8,4,2,7,3]=>[3,8,4,1,5,7,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,3,6,4,1,2,7]=>[4,1,6,3,5,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,8,6,4,1,3,7]=>[4,7,1,3,5,8,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,4,7,5,1,6,2,3]=>[1,5,2,4,8,3,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,7,5,1,2,6,3]=>[1,5,2,4,8,7,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,7,5,1,2,3,6]=>[1,5,2,4,8,7,6,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,8,6,3,5,1,2,7]=>[5,1,3,6,4,8,7,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,7,3,1,5,2,6]=>[5,1,2,6,8,4,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,4,7,2,1,5,3,6]=>[1,5,2,7,8,4,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,7,2,1,5,6,3]=>[1,5,2,7,8,4,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,7,4,1,2,5,6]=>[6,1,2,5,8,7,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,6,5,4,1,2,8,7]=>[6,3,4,5,8,7,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,5,6,7,4,1,2]=>[6,1,4,3,2,5,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,8,6,2,1,3]=>[5,2,4,1,3,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,7,8,6,3,4,1]=>[7,4,2,1,3,6,5,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,8,5,7,6,3,1,2]=>[5,1,4,2,3,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,3,2,1,5,8,7]=>[5,3,6,7,8,4,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,1,3,7,6,4,2]=>[4,1,8,6,2,3,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,7,2,3,6,1,8,5]=>[5,2,7,6,3,8,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,2,8,1,5,6]=>[6,2,5,7,1,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,6,8,5,7,3,1]=>[5,7,3,1,4,2,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,6,7,5,3,4,2]=>[1,8,3,2,4,6,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,5,8,7,6,3,4]=>[7,8,4,1,2,3,6,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,4,7,6,3,8,5]=>[7,8,5,2,3,6,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,8,5,3,2,1]=>[3,5,2,1,4,6,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,1,3,7,6,2,8,5]=>[5,8,6,2,3,7,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,1,5,2,8,4]=>[3,6,2,8,4,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,8,4,7,5,1]=>[6,7,3,1,5,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,6,1,3,2,5,7]=>[1,5,3,8,6,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,8,6,7,3,1,5]=>[5,7,1,3,2,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,5,8,1,6,3,2]=>[5,2,4,1,8,3,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,5,1,6,7,8,3]=>[5,7,4,8,3,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,4,8,5,7,1,3,6]=>[7,5,1,4,2,8,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,1,4,6,8,5,2]=>[6,2,8,5,3,1,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,8,2,5,6,1,4,3]=>[2,1,7,4,3,8,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,8,7,5,6,1]=>[7,5,6,1,2,4,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,7,3,5,1,8,4]=>[7,3,2,6,4,8,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,8,4,2,5,3,1]=>[2,3,1,5,7,4,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,5,7,1,6,3,2,4]=>[1,4,2,8,3,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,5,7,2,8,4,3,1]=>[3,4,2,7,1,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,8,6,5,2,1,7]=>[6,5,1,3,4,7,8,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,7,6,1,4,5,8,3]=>[7,2,3,8,5,4,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,5,8,2,1,7,3,4]=>[3,4,1,7,8,2,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,6,3,5,8,7,2]=>[5,8,3,6,4,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,5,8,4,3,7,1]=>[3,7,4,1,5,6,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,6,7,1,5,4,3,2]=>[1,3,2,8,4,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,1,6,5,8,4,7,3]=>[7,8,3,4,1,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,8,5,4,3,7]=>[7,8,3,1,4,5,6,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,8,5,6,2,3,7]=>[5,8,1,4,3,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,4,8,7,3,5,1]=>[7,3,5,1,2,6,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,8,4,3,5,1,7]=>[3,7,1,5,6,4,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,2,7,6,1,3,5]=>[5,1,7,2,3,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,8,2,7,5,4,6]=>[6,8,1,7,2,4,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,1,2,6,7,4,5]=>[6,1,8,7,3,2,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,8,4,3,2,7,1,6]=>[4,1,5,6,7,2,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,8,6,3,2,5,1]=>[2,5,1,3,6,7,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,4,7,2,1,3,6]=>[4,1,5,2,7,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,8,4,3,7,5,6]=>[7,8,1,5,6,2,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,8,2,4,5,7,1]=>[3,6,1,7,5,4,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,4,2,3,6,1,7]=>[4,1,5,7,6,3,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,2,4,3,1,6,7]=>[4,1,7,5,6,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,3,1,6,4,5,7]=>[7,1,6,8,3,5,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,8,2,6,3,5,7]=>[8,5,1,7,3,6,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,7,3,5,4,8,6]=>[8,7,2,6,4,5,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,8,3,4,5,7,6]=>[8,7,1,6,5,4,2,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,8,2,6,4,5,7]=>[8,6,1,7,3,5,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,7,2,3,6,4,8]=>[8,4,2,7,6,3,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,5,4,8,6]=>[8,2,7,6,4,5,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,2,4,5,7,6]=>[8,6,1,7,5,4,2,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,3,8,4,6,7,5]=>[8,7,6,1,5,3,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,8,2,3,5,4,6,7]=>[8,1,7,6,4,5,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,8,2,3,6,4,5]=>[8,2,1,7,6,3,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,7,8,2,3,5,4]=>[8,3,2,1,7,6,4,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,7,8,2,5,3,6,4]=>[8,2,1,7,4,6,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,2,4,5,3,6]=>[8,2,1,7,5,4,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,8,3,6,4,5,7]=>[8,7,1,6,3,5,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,2,3,6,4,5,7]=>[8,1,7,6,3,5,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,8,3,5,4,6,7]=>[8,7,1,6,4,5,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,7,8,3,6,4,5]=>[8,7,2,1,6,3,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,2,7,8,3,6,4]=>[8,4,7,2,1,6,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,8,4,6,7,5]=>[8,6,7,1,5,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,2,3,4,6,7,5]=>[8,1,7,6,5,3,2,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,7,8,2,4,3,6,5]=>[8,2,1,7,5,6,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,1,5,2,8,4]=>[3,2,6,8,4,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,3,1,5,2,7,4]=>[3,1,6,8,4,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,5,1,2,7,3]=>[3,1,5,4,8,7,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,4,5,1,2,8,3]=>[3,2,5,4,8,7,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,6,1,5,2,4,8]=>[2,6,3,8,4,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,5,1,2,3,8]=>[2,5,3,4,8,7,6,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,7,5,4,1,2,8,3]=>[3,2,4,5,8,7,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,6,4,1,7,2,3]=>[4,1,3,5,8,2,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,4,1,8,2,3]=>[4,2,3,5,8,1,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,6,7,4,1,8,2,3]=>[4,3,2,5,8,1,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,7,4,1,2,8,3]=>[3,4,2,5,8,7,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,4,7,5,1,2,8,3]=>[3,5,2,4,8,7,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,8,1,5,2,7,4]=>[3,6,1,8,4,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,8,5,1,2,7,3]=>[3,5,1,4,8,7,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,8,4,1,7,2,3]=>[4,3,1,5,8,2,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,8,5,7,1,2,3]=>[5,3,1,4,2,8,7,6]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,6,7,1,2,3]=>[5,4,1,3,2,8,7,6]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,8,6,1,7,2,3]=>[4,5,1,3,8,2,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,8,1,6,7,2,4]=>[4,6,1,8,3,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,7,6,1,8,2,3]=>[4,5,2,3,8,1,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,7,6,8,1,2,3]=>[5,4,2,3,1,8,7,6]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,5,8,1,2,3]=>[5,3,2,4,1,8,7,6]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,6,5,7,1,2,3]=>[5,1,3,4,2,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,5,6,7,1,2,3]=>[5,1,4,3,2,8,7,6]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,5,6,8,1,2,3]=>[5,2,4,3,1,8,7,6]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,5,7,8,1,2,3]=>[5,3,4,2,1,8,7,6]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,6,1,8,2,3]=>[4,2,5,3,8,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,6,1,7,2,3]=>[4,1,5,3,8,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,1,6,7,2,4]=>[4,1,6,8,3,2,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,3,1,6,8,2,4]=>[4,2,6,8,3,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,3,1,7,8,2,4]=>[4,3,6,8,2,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,3,1,7,6,2,4]=>[4,1,6,8,2,3,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,4,8,1,6,2,3]=>[4,2,5,1,8,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,8,1,7,2,3]=>[4,5,3,1,8,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,6,8,7,1,2,3]=>[5,4,3,1,2,8,7,6]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,7,5,8,6,1,2,3]=>[5,2,4,1,3,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,6,7,5,1,2,3]=>[5,1,3,2,4,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,6,8,5,1,2,3]=>[5,2,3,1,4,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,7,8,5,1,2,3]=>[5,3,2,1,4,8,7,6]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,7,8,6,1,2,3]=>[5,4,2,1,3,8,7,6]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,4,7,8,1,6,2,3]=>[4,5,2,1,8,3,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,1,8,6,2,4]=>[4,6,2,8,1,3,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,8,1,7,6,2,4]=>[4,6,1,8,2,3,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,8,7,1,6,2,3]=>[4,5,1,2,8,3,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,8,7,5,1,2,3]=>[5,3,1,2,4,8,7,6]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,7,8,6,5,1,2,3]=>[5,2,1,3,4,8,7,6]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,8,7,6,5,1,2,3]=>[5,1,2,3,4,8,7,6]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,5,4,7,3,6,1,8]=>[7,4,5,2,6,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,6,3,7,5,1,8]=>[7,5,3,6,2,4,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,7,3,6,5,1,8]=>[5,7,2,6,3,4,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,6,3,1,5,8,7]=>[5,7,3,6,8,4,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,5,3,1,6,4,8,7]=>[7,4,6,8,3,5,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,7,6,4,1,8]=>[7,4,6,2,3,5,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,6,5,3,7,4,1,8]=>[7,3,4,6,2,5,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,7,6,3,5,1,8]=>[5,7,2,3,6,4,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,5,3,6,4,1,8]=>[7,2,4,6,3,5,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,7,5,4,1,8]=>[7,3,6,2,4,5,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,5,2,3,8,4,6]=>[8,2,4,7,6,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,7,5,4,8,6]=>[7,8,6,2,4,5,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,1,8,6,5,4,7]=>[7,6,8,1,3,4,5,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,3,1,8,6,4,7]=>[7,4,6,8,1,3,5,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,3,1,6,5,7]=>[5,7,1,6,8,3,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,8,2,1,4,5,7]=>[6,3,1,7,8,5,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,5,2,8,3,4,7,6]=>[8,4,7,1,6,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,6,3,8,7,4,5]=>[8,7,3,6,1,2,5,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,3,6,4,7,5]=>[8,7,1,6,3,5,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,7,6,3,4,8,5]=>[8,7,2,3,6,5,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,1,3,8,7,5,4,6]=>[7,8,6,1,2,4,5,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,3,7,4,8,6,5]=>[8,7,6,2,5,1,3,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,7,6,3,8,4,5]=>[8,7,2,3,6,1,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,3,6,4,8,7,5]=>[8,7,6,3,5,1,2,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,3,7,6,4,8,5]=>[8,7,6,2,3,5,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,3,1,8,5,4,7]=>[7,3,6,8,1,4,5,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,3,8,5,4,7,6]=>[7,8,6,1,4,5,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,8,4,2,3,5,6]=>[2,8,1,5,7,6,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,1,8,4,3,5,7,6]=>[7,8,1,5,6,4,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,6,3,1,8,5,7]=>[5,7,3,6,8,1,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,8,2,4,1,6,7]=>[6,4,1,7,5,8,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,8,3,1,6,7]=>[7,4,5,1,6,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,7,4,2,3,5,6]=>[8,1,2,5,7,6,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,5,2,8,7,3,4,6]=>[8,4,7,1,2,6,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,2,7,3,6,4,8,5]=>[8,7,2,6,3,5,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,8,6,3,7,4,5]=>[8,7,1,3,6,2,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,7,3,8,6,4,5]=>[8,7,2,6,1,3,5,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,7,3,4,8,6,5]=>[8,7,2,6,5,1,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,6,3,8,4,7,5]=>[8,7,3,6,1,5,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,3,8,7,4,6]=>[8,4,7,6,1,2,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,4,2,7,3,5,6]=>[8,1,5,7,2,6,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,8,6,3,4,7,5]=>[8,7,1,3,6,5,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,7,3,8,4,6,5]=>[8,7,2,6,1,5,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,3,8,1,6,4,7]=>[7,4,6,1,8,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,7,1,5,3,8]=>[7,3,5,2,8,4,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,7,1,4,3,8]=>[7,3,4,2,8,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,5,7,1,2,6,4]=>[6,1,4,2,8,7,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,5,7,2,6,4,1]=>[6,1,4,2,7,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,8,6,2,5,7,1]=>[6,5,1,3,7,4,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,8,6,1,2,5,7]=>[6,5,1,3,8,7,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,5,7,1,4,8,6,3]=>[7,4,2,8,5,1,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,8,1,6,5,7,4]=>[7,6,1,8,3,4,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,1,3,5,7,6]=>[7,5,1,8,6,4,2,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,7,6,1,2,4,8]=>[6,4,2,3,8,7,5,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,8,5,7,1,6,4,2]=>[6,1,4,2,8,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,8,5,6,1,7,4]=>[6,7,1,4,3,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,5,7,2,1,6,4]=>[6,1,4,2,7,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,8,6,2,1,5,7]=>[6,5,1,3,7,8,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,5,7,6,2,1,4,8]=>[6,4,2,3,7,8,5,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,8,6,7,2,1,3,5]=>[5,1,3,2,7,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,6,7,3,5,2,1]=>[5,1,3,2,6,4,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,6,7,2,1,4,3]=>[4,1,3,2,7,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,6,7,2,1,5,3]=>[5,1,3,2,7,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,8,5,1,6,7,2]=>[5,6,1,4,8,3,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,6,7,1,5,3,2]=>[5,1,3,2,8,4,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,6,7,1,4,3,2]=>[4,1,3,2,8,5,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,6,7,1,2,4,3]=>[4,1,3,2,8,7,5,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,3,8,5,1,6,7]=>[5,7,6,1,4,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,8,5,1,7,6,3]=>[5,7,1,4,8,2,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,4,2,8,5,6,1,7]=>[6,5,7,1,4,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,5,7,6,1,4,8]=>[6,7,4,2,3,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,6,7,1,3,2,5]=>[5,1,3,2,8,6,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,6,7,1,2,5,3]=>[5,1,3,2,8,7,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,6,7,2,5,3,1]=>[5,1,3,2,7,4,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,8,5,1,2,6,7]=>[5,6,1,4,8,7,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,2,6,7,5,1,3,8]=>[5,7,3,2,4,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,5,7,1,4,2,6]=>[6,1,4,2,8,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,7,1,5,2,6]=>[6,1,5,2,8,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,8,4,6,1,7]=>[6,4,7,1,5,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,7,4,6,2,8]=>[6,4,8,2,5,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,7,2,5,1,6]=>[6,1,5,2,7,4,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,6,7,5,3,8]=>[5,8,7,3,2,4,6,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,7,5,3,8,1]=>[5,7,3,2,4,6,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,6,7,3,2,5,1]=>[5,1,3,2,6,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,6,7,3,1,2,5]=>[5,1,3,2,6,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,5,7,6,2,4,8]=>[6,8,4,2,3,7,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,1,7,5,6,2,8]=>[6,5,8,2,4,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,5,2,8,6,3]=>[5,8,2,4,7,1,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,6,7,5,2,3,8]=>[5,8,3,2,4,7,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,6,7,2,3,1,5]=>[5,1,3,2,7,6,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,6,7,4,2,3,1]=>[4,1,3,2,5,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,6,7,4,1,3,2]=>[4,1,3,2,5,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,6,7,3,1,4,2]=>[4,1,3,2,6,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,6,7,3,1,5,2]=>[5,1,3,2,6,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,6,7,5,3,8,2]=>[5,8,3,2,4,6,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,5,3,2,8,6]=>[5,8,2,4,6,7,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,2,8,5,3,1,7,6]=>[5,7,1,4,6,8,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,6,7,3,2,1,5]=>[5,1,3,2,6,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,6,7,4,2,1,3]=>[4,1,3,2,5,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,6,7,4,3,1,2]=>[4,1,3,2,5,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,5,8,1,4,2,6]=>[2,6,4,1,8,5,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,7,6,1,4,2,5]=>[6,1,2,3,8,5,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,1,8,3,6,7,2,4]=>[4,8,1,6,3,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,7,8,5,6,2,3]=>[8,5,2,1,4,3,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,7,1,5,8,6,2]=>[6,5,2,8,4,1,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,1,4,7,8,5,2]=>[6,3,8,5,2,1,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,8,4,7,5,2,3]=>[8,3,1,5,2,4,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,1,3,5,7,2,4]=>[3,1,8,6,4,2,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,8,1,6,5,4,2,7]=>[6,1,8,3,4,5,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,3,7,5,8,2,6]=>[5,8,6,2,4,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,3,8,4,2,5]=>[3,8,2,6,1,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,8,6,3,5,2,4]=>[2,8,1,3,6,4,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,7,6,5,8,4,2]=>[6,8,2,3,4,1,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,7,6,5,3,4,1]=>[1,7,2,3,4,6,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,1,6,7,5,3,2]=>[5,1,8,3,2,4,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,8,6,2,7,5,4]=>[8,6,1,3,7,2,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,1,3,2,7,8,4,5]=>[3,8,6,7,2,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,6,8,1,5,3]=>[5,2,7,3,1,8,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,6,2,1,4,3]=>[4,2,1,3,7,8,5,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,4,1,6,8,3,5]=>[7,2,5,8,3,1,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,4,5,1,6,8]=>[6,2,7,5,4,8,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,8,6,4,5,2,3,7]=>[8,1,3,5,4,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,4,6,5,1,3,7]=>[7,1,5,3,4,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,1,7,5,2,6,8]=>[6,5,8,2,4,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,8,6,1,2,4,3]=>[2,4,1,3,8,7,5,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,8,7,3,1,4,2]=>[4,3,1,2,6,8,5,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,5,4,3,6,8,1,7]=>[7,4,5,6,3,1,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,5,4,6,2,1,7]=>[6,1,4,5,3,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,2,1,3,7,5,6]=>[5,1,7,8,6,2,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,8,3,6,7,5,2]=>[5,8,1,6,3,2,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,8,5,1,6,2]=>[5,6,2,1,4,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,8,2,7,6,1,3]=>[4,5,1,7,2,3,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,2,7,3,6,5,8,4]=>[8,7,2,6,3,4,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,7,6,3,4,1,5]=>[7,1,2,3,6,5,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,2,6,3,4,1,7]=>[4,1,7,3,6,5,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,5,8,6,2,3]=>[5,8,2,4,1,3,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,7,8,4,3,6,2]=>[4,8,2,1,5,6,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,7,5,4,3,6,1]=>[1,7,2,4,5,6,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,3,8,1,4,7,5,2]=>[3,6,1,8,5,2,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,4,5,6,1,2,7]=>[6,1,5,4,3,8,7,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,3,5,7,8,2,6]=>[8,5,6,4,2,1,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,5,8,7,1,3,4,2]=>[3,4,1,2,8,6,5,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,7,2,4,8,1,5]=>[6,3,2,7,5,1,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,7,4,3,8,6]=>[8,4,7,2,5,6,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,5,6,4,3,1,7]=>[7,1,4,3,5,6,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,6,5,4,3,2,7]=>[8,1,3,4,5,6,7,2]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [6,1,5,2,8,4,7,3]=>[3,8,4,7,1,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,1,8,5,7,2,3]=>[5,3,8,1,4,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,2,8,5,6,3]=>[5,2,8,7,1,4,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,2,8,5,6,3]=>[8,5,2,7,1,4,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,5,8,6,2,4]=>[8,2,6,4,1,3,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,8,6,1,2,4]=>[2,6,4,1,3,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,8,1,5,7,2,4]=>[6,3,1,8,4,2,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,5,8,1,7,2]=>[6,5,3,4,1,8,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,5,7,2,3,4]=>[3,1,8,4,2,7,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,5,8,6,3,4]=>[2,8,7,4,1,3,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,2,5,8,6,3,4]=>[8,2,7,4,1,3,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,6,8,2,3,5,4]=>[8,2,3,1,7,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,6,8,1,2,3,5,4]=>[2,3,1,8,7,6,4,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,1,5,8,6,3,4]=>[7,2,8,4,1,3,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,7,1,8,5,6,3]=>[7,5,2,8,1,4,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,8,3,1,6,2]=>[5,2,4,1,6,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,2,1,8,5,6,3]=>[5,2,7,8,1,4,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,6,8,2,1,3,5,4]=>[2,3,1,7,8,6,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,2,7,6,8,3,5,4]=>[8,7,2,3,1,6,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,8,2,1,5,4]=>[6,2,3,1,7,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,4,1,8,5,3,2]=>[3,2,5,8,1,4,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,4,3,1,8,5,2]=>[3,2,5,6,8,1,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,7,4,1,6,8,5,3]=>[7,2,5,8,3,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,7,6,8,1,5,4]=>[7,6,2,3,1,8,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,6,8,2,5,4]=>[6,8,2,3,1,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,6,8,1,2,5,4]=>[6,2,3,1,8,7,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,7,6,8,2,5,4]=>[8,6,2,3,1,7,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,2,6,8,5,3]=>[8,2,5,7,3,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,1,4,2,8,5,6,3]=>[2,8,5,7,1,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,8,2,5,4,6,3]=>[2,8,1,7,4,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,4,6,1,5,2]=>[2,6,1,5,3,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,8,1,6,4,5,3]=>[2,7,1,8,3,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,8,5,4,2,3]=>[2,8,3,1,4,5,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,2,6,8,5,4,3]=>[2,8,7,3,1,4,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,7,2,6,8,5,4,3]=>[8,2,7,3,1,4,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,7,6,8,3,2,5,4]=>[8,2,3,1,6,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,6,8,3,1,2,5,4]=>[2,3,1,6,8,7,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,5,8,6,3,2,4]=>[2,8,4,1,3,6,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,5,8,6,3,1,4]=>[2,7,4,1,3,6,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,7,1,8,5,4,2]=>[6,3,2,8,1,4,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,2,6,8,5,4,1,3]=>[2,7,3,1,4,5,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,6,8,2,3,1,5,4]=>[2,3,1,7,6,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,6,8,3,1,5,4]=>[7,2,3,1,6,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,1,6,8,5,4,3]=>[7,2,8,3,1,4,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,7,3,1,8,5,4,2]=>[3,2,6,8,1,4,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,1,8,5,4,3,2]=>[3,2,8,1,4,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,6,8,3,2,1,5,4]=>[2,3,1,6,7,8,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,7,8,5,6,1,3,2]=>[5,2,1,4,3,8,6,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,8,7,1,3,2]=>[5,3,4,1,2,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,4,8,1,2,7,3]=>[4,3,5,1,8,7,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,5,6,7,2,4,3]=>[1,8,4,3,2,7,5,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,1,8,2,7,3]=>[3,5,4,8,1,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,7,1,2,8,3]=>[4,5,3,2,8,7,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,7,2,1,5,8]=>[5,6,3,2,7,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,6,7,1,4,2,8]=>[4,6,3,2,8,5,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,6,7,3,2,5]=>[1,8,5,3,2,6,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,3,6,7,4,5,2]=>[1,8,6,3,2,5,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,7,1,4,8,3]=>[4,7,3,2,8,5,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,6,7,3,1,8,5]=>[5,7,3,2,6,8,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,4,1,5,8,7,3]=>[3,7,5,8,4,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,4,5,3,7,2,6]=>[1,8,5,4,6,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,1,5,8,2,7]=>[3,6,5,8,4,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,4,2,1,8,6,7]=>[4,6,5,7,8,1,3,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,5,2,7,1,6,8]=>[5,6,4,7,2,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,3,8,1,4,2,7]=>[4,3,6,1,8,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,7,2,4,5,6,3]=>[1,8,2,7,5,4,3,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,7,8,2,3,1,6,5]=>[5,2,1,7,6,8,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,8,1,4,7,3]=>[4,3,7,1,8,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,6,3,2,5,7,4]=>[1,8,3,6,7,4,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,4,3,5,6,2,7]=>[1,8,5,6,4,3,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,3,1,5,7,8,4]=>[3,7,6,8,4,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,8,4,2,1,6,5,3]=>[2,1,5,7,8,3,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,8,4,2,1,5,6,3]=>[2,1,5,7,8,4,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,2,3,4,8,7,1,5]=>[3,7,6,5,1,2,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,4,7,8,1,5]=>[3,7,6,5,2,1,8,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,8,3,4,6,2,1,5]=>[2,1,6,5,3,7,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,3,6,4,2,1,5]=>[2,1,6,3,5,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,3,5,6,2,1,4]=>[2,1,6,4,3,7,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,8,7,5,1,4]=>[3,7,6,1,2,4,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,3,7,8,5,1,4]=>[3,7,6,2,1,4,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,6,3,8,1,7,4]=>[4,7,3,6,1,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,4,1,7,3,5,8]=>[3,7,5,8,2,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,2,3,6,1,8,4]=>[4,2,7,6,3,8,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,2,3,6,1,7,4]=>[4,1,7,6,3,8,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,8,3,2,1,6]=>[5,2,4,1,6,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,6,8,3,2,1,7]=>[5,4,3,1,6,7,8,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,6,8,5,3,2,1,7]=>[5,3,1,4,6,7,8,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,6,1,4,2,3,7,8]=>[4,3,8,5,7,6,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,6,8,4,3,7,1,2]=>[4,3,1,5,6,2,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,1,4,2,3,8,7]=>[4,3,8,5,7,6,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,8,3,4,1,7,6]=>[4,7,1,6,5,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,8,6,3,2,1,7]=>[5,4,1,3,6,7,8,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,6,5,8,3,2,1,7]=>[5,3,4,1,6,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,5,6,3,2,1,8]=>[5,2,4,3,6,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,3,4,5,8,1,7]=>[3,7,6,5,4,1,8,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,4,3,7,2,8,6]=>[4,8,5,6,2,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,2,4,1,7,8,3]=>[4,3,7,5,8,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,2,4,1,8,7,3]=>[4,3,7,5,8,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,2,4,1,8,6,3]=>[4,2,7,5,8,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,4,2,8,7,5,3]=>[3,8,5,7,1,2,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,8,2,4,1,7,6,3]=>[4,1,7,5,8,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,7,4,1,6,8,3]=>[4,7,2,5,8,3,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,6,4,3,7,1,2]=>[4,1,3,5,6,2,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,1,4,2,3,7,6]=>[4,1,8,5,7,6,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,6,5,3,2,1,7]=>[5,1,3,4,6,7,8,2]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [4,8,5,6,3,2,1,7]=>[5,1,4,3,6,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,7,8,3,2,1,6]=>[4,5,2,1,6,7,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,8,7,3,2,1,6]=>[4,5,1,2,6,7,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,6,8,7,3,2,1,5]=>[5,3,1,2,6,7,8,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,6,7,8,3,2,1,5]=>[5,3,2,1,6,7,8,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,7,6,8,3,2,1,5]=>[5,2,3,1,6,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,8,5,3,2,1,6]=>[5,2,1,4,6,7,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,7,1,3,4,2,6,8]=>[4,2,8,6,5,7,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,8,4,2,3,6,7]=>[4,8,1,5,7,6,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,1,7,4,2,3,6,8]=>[4,8,2,5,7,6,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,8,1,3,4,2,6,7]=>[4,1,8,6,5,7,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,8,7,5,3,2,1,6]=>[5,1,2,4,6,7,8,3]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [4,7,8,6,3,2,1,5]=>[5,2,1,3,6,7,8,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [4,8,2,6,3,7,5,1]=>[5,1,7,3,6,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,2,3,6,7,5,1]=>[5,1,7,6,3,2,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,8,3,1,6,7,5,2]=>[5,1,6,8,3,2,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,8,1,6,2,5,7]=>[5,6,1,8,3,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,3,8,7,2,5,1,6]=>[5,6,1,2,7,4,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,4,3,7,1,6,2]=>[4,1,5,6,2,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,4,7,2,6,3]=>[4,1,8,5,2,7,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,2,4,3,5,7]=>[3,1,8,7,5,6,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,7,1,3,4,2,6]=>[4,1,2,8,6,5,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,7,6,3,1,2,5]=>[5,1,2,3,6,8,7,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,8,4,7,3,1,2,6]=>[4,1,5,2,6,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,8,2,7,5,6,1]=>[5,6,1,7,2,4,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,3,8,2,6,5,7]=>[8,5,6,1,7,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,3,8,2,6,5,7]=>[5,8,6,1,7,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,3,7,5,6,2]=>[5,8,1,6,2,4,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,7,3,5,2,6]=>[5,8,1,2,6,4,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,8,1,5,4,2,6]=>[6,2,1,8,4,5,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,8,1,5,4,6,2]=>[2,6,1,8,4,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,8,1,6,2,5,7]=>[6,5,1,8,3,7,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,8,7,2,5,1,6]=>[6,5,1,2,7,4,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,4,8,3,6,5,7]=>[8,7,5,1,6,3,4,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,3,8,6,5,7]=>[8,7,5,6,1,3,4,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,2,1,8,6,5,7]=>[6,5,7,8,1,3,4,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,8,2,6,5,7]=>[6,5,8,1,7,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,8,5,3,2,6]=>[5,8,2,1,4,6,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,2,8,3,6,5,7]=>[5,8,7,1,6,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,3,2,8,6,5,7]=>[8,5,6,7,1,3,4,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,3,1,8,6,5,7]=>[5,7,6,8,1,3,4,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,6,8,4,2,1,5]=>[6,2,3,1,5,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,1,8,5,2,3,6]=>[5,2,8,1,4,7,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,8,7,4,3,1,5]=>[7,3,1,2,5,6,8,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,7,8,6,2,4,1,5]=>[6,2,1,3,7,5,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,3,8,1,6,5,7]=>[5,7,6,1,8,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,7,8,5,3,2,6]=>[8,5,2,1,4,6,7,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,3,7,8,5,2,1,6]=>[5,6,2,1,4,7,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,2,8,4,6,5,1]=>[6,2,7,1,5,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,8,6,3,1,5,7]=>[5,7,1,3,6,8,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,6,8,4,7,3,1,5]=>[7,3,1,5,2,6,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,6,3,1,5,7]=>[7,5,1,3,6,8,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,3,6,8,4,2,1,5]=>[2,6,3,1,5,7,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,4,8,2,6,5,7]=>[8,6,5,1,7,3,4,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,3,8,6,2,4,1,5]=>[2,6,1,3,7,5,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,8,2,6,4,5,1]=>[2,6,1,7,3,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,8,3,6,1,5,7]=>[7,5,1,6,3,8,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,8,7,4,3,5,1]=>[3,7,1,2,5,6,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,4,3,1,8,6,5,7]=>[7,5,6,8,1,3,4,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,4,2,8,6,5,7]=>[8,6,5,7,1,3,4,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,2,4,8,6,5,7]=>[8,6,7,5,1,3,4,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,2,4,8,6,5,7]=>[6,8,7,5,1,3,4,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,4,2,8,6,5,7]=>[6,8,5,7,1,3,4,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,4,8,2,6,5,7]=>[6,8,5,1,7,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,4,8,5,1,6,2]=>[2,6,5,1,4,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,4,8,5,1,2,6]=>[6,2,5,1,4,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,2,8,3,5,4,1]=>[3,2,7,1,6,4,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,1,4,8,6,5,7]=>[7,6,8,5,1,3,4,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,3,4,8,6,5,7]=>[7,8,6,5,1,3,4,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,3,4,8,6,5,7]=>[8,7,6,5,1,3,4,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [4,8,3,6,2,1,5,7]=>[5,1,6,3,7,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,8,2,6,1,4,7]=>[6,4,1,7,3,8,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,5,8,2,4,1,7]=>[6,3,4,1,7,5,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,8,7,2,4,6,1]=>[4,6,1,2,7,5,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,4,5,7,3,6,1]=>[7,1,5,4,2,6,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,7,3,8,1,6]=>[7,5,4,2,6,1,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,2,4,5,8,3,1,7]=>[3,7,5,4,1,6,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,1,2,5,6,3,7]=>[5,1,8,7,4,3,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,3,5,2,6,4,7]=>[1,8,6,4,7,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,1,8,4,3,7]=>[3,7,4,8,1,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,1,5,8,4,2,7]=>[6,3,8,4,1,5,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,5,8,3,2,7]=>[3,8,5,4,1,6,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,8,1,3,2,7]=>[4,3,5,1,8,6,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,3,7,2,6,1]=>[4,1,5,6,2,7,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,8,3,7,2,5,1]=>[5,3,1,6,2,7,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,6,3,2,8,1,5]=>[2,5,3,6,7,1,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,3,6,2,7,8,5]=>[8,5,6,3,7,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,4,3,7,2,8,6]=>[8,4,5,6,2,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,5,3,1,2,6]=>[5,2,1,4,6,8,7,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,3,4,1,2,8,6]=>[4,2,6,5,8,7,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,5,7,4,3,6,1,2]=>[1,4,2,5,6,3,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,8,1,6,7,5,2]=>[5,6,1,8,3,2,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,8,3,6,1,5,2]=>[5,2,1,6,3,8,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,6,7,4,1,2]=>[4,6,1,3,2,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,3,8,6,4,7,5,2]=>[8,6,1,3,5,2,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,7,3,2,6,8,4]=>[8,4,2,6,7,3,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,7,3,2,5,8,4]=>[8,3,2,6,7,4,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,6,8,5,7,4,1]=>[6,7,3,1,4,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,2,3,6,7,4,1]=>[4,1,7,6,3,2,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,4,7,2,3,8,5]=>[8,3,5,2,7,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,7,5,2,8,4,6]=>[6,8,2,4,7,1,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,7,4,1,8,3,6]=>[7,4,2,5,8,1,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,6,1,7,8,3,5]=>[5,7,3,8,2,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,7,6,3,8,1,5]=>[5,7,2,3,6,1,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,8,7,2,3,5,1]=>[3,5,1,2,7,6,4,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,6,8,7,4,5,1]=>[6,7,3,1,2,5,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,7,4,1,6,8,5]=>[6,7,2,5,8,3,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,7,1,8,4,2,5,6]=>[6,2,8,1,5,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,3,7,4,2,6,5]=>[1,8,6,2,5,7,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,2,8,7,1,5,4]=>[6,3,7,1,2,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,7,2,6,5,4,1]=>[6,1,2,7,3,4,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,2,7,8,6,1,5,3]=>[5,7,2,1,3,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,2,4,7,1,5,3]=>[3,1,7,5,2,8,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,3,1,7,5,2,4]=>[3,1,6,8,2,4,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,1,6,7,2,4,3]=>[4,1,8,3,2,7,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,8,1,5,7,4,3]=>[3,7,1,8,4,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,8,2,6,1,4,3]=>[4,2,1,7,3,8,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,6,7,5,2,4,3,1]=>[1,3,2,4,7,5,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,6,8,1,5,4,3]=>[2,7,3,1,8,4,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,7,8,5,6,4,3]=>[8,7,2,1,4,3,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,4,8,1,6,2,5,3]=>[2,5,1,8,3,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,1,8,2,6,5,4]=>[6,2,8,1,7,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,7,3,8,6,5,4]=>[7,8,2,6,1,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,4,7,6,5,3,2]=>[1,8,5,2,3,4,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,6,7,5,1,4,3,2]=>[1,3,2,4,8,5,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,6,5,4,1,3,2]=>[2,1,3,4,5,8,6,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,4,3,2,1,6,7]=>[4,1,5,6,7,8,3,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,4,7,3,2,1,8,5]=>[3,5,2,6,7,8,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,4,7,3,2,1,6,8]=>[4,5,2,6,7,8,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,8,3,6,2,1,4,7]=>[4,1,6,3,7,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,7,8,2,1,4,5]=>[3,6,2,1,7,8,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,7,6,2,1,4,8]=>[4,6,2,3,7,8,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,8,7,6,2,1,4,5]=>[6,1,2,3,7,8,5,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,8,4,2,6,1,3,7]=>[4,1,5,7,3,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,7,2,5,1,3,6]=>[5,1,2,7,4,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,3,2,6,1,4,7]=>[4,1,6,7,3,8,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,3,2,5,1,7,6]=>[5,1,6,7,4,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,7,2,5,1,8,6]=>[5,6,2,7,4,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,7,2,5,1,4,6]=>[6,1,2,7,4,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,2,6,5,1,4,7]=>[6,1,7,3,4,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,7,6,8,1,3,4]=>[4,7,2,3,1,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,7,6,5,1,3,8]=>[5,7,2,3,4,8,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,8,7,6,5,1,3,4]=>[7,1,2,3,4,8,6,5]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,4,7,3,1,5,8,2]=>[3,5,2,6,8,4,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,7,3,1,8,6,2]=>[4,5,2,6,8,1,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,3,7,8,1,4,5,2]=>[3,6,2,1,8,5,4,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,7,6,1,4,8,2]=>[4,6,2,3,8,5,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,3,7,6,1,5,8,2]=>[5,6,2,3,8,4,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,7,6,1,4,5,2]=>[6,1,2,3,8,5,4,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,4,7,2,1,5,3,8]=>[3,5,2,7,8,4,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,7,2,1,5,3,6]=>[5,1,2,7,8,4,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,3,2,1,4,7,6]=>[4,1,6,7,8,5,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,8,3,2,1,5,7,6]=>[5,1,6,7,8,4,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,3,7,2,1,4,8,6]=>[4,6,2,7,8,5,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,7,2,1,4,5,6]=>[6,1,2,7,8,5,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,8,2,6,1,4,3,7]=>[4,1,7,3,8,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,8,1,4,3,5]=>[3,7,2,1,8,5,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,7,6,1,5,3,8]=>[5,7,2,3,8,4,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,7,6,1,4,5,8]=>[6,7,2,3,8,5,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,8,4,1,6,7,3,2]=>[4,1,5,8,3,2,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,7,1,5,8,3,2]=>[3,5,2,8,4,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,4,7,1,6,8,3,2]=>[4,5,2,8,3,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,8,7,1,5,6,3,2]=>[5,1,2,8,4,3,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,7,1,5,4,6,2]=>[6,1,2,8,4,5,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,2,1,6,4,3,7]=>[4,1,7,8,3,5,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,2,1,5,4,6,7]=>[6,1,7,8,4,5,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,7,1,5,4,3,8]=>[3,7,2,8,4,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,7,1,6,4,3,8]=>[4,7,2,8,3,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,7,1,5,4,6,8]=>[6,7,2,8,4,5,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,8,7,1,5,4,3,6]=>[7,1,2,8,4,5,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,1,6,7,4,3,2]=>[4,1,8,3,2,5,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,8,1,6,5,7,3,2]=>[5,1,8,3,4,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,6,5,4,3,7]=>[7,1,8,3,4,5,6,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,7,8,5,4,3,2]=>[3,8,2,1,4,5,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,1,7,6,5,8,3,2]=>[5,8,2,3,4,1,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,1,7,6,5,4,8,2]=>[6,8,2,3,4,5,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,5,8,1,2,6,3,7]=>[5,4,1,8,7,3,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,5,7,2,6,3,8]=>[8,5,4,2,7,3,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,7,3,5,6,2,4,8]=>[8,2,6,4,3,7,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,3,5,7,2,4,6]=>[1,8,6,4,2,7,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,8,1,7,2,4,5]=>[6,3,1,8,2,7,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,5,6,8,1,7,2]=>[6,5,4,3,1,8,2,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,5,8,2,6,7,1,3]=>[5,4,1,7,3,2,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,3,5,6,7,1,4]=>[1,7,6,4,3,2,8,5]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,5,4,6,8]=>[8,2,7,6,4,5,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,2,3,5,4,6,7]=>[1,8,7,6,4,5,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,8,1,3,5,4,6]=>[7,2,1,8,6,4,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,8,3,5,6,1,4]=>[7,2,1,6,4,3,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,7,8,1,6,3]=>[7,5,4,2,1,8,3,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,5,8,1,7,6,3,2]=>[5,4,1,8,2,3,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,8,7,2,1,6,3]=>[5,4,1,2,7,8,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,8,7,2,1,5,4]=>[6,3,1,2,7,8,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,3,6,7,8,1,5,4]=>[7,6,3,2,1,8,4,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,6,8,1,2,5,4,7]=>[6,3,1,8,7,4,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,6,7,2,5,4,8]=>[8,6,3,2,7,4,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,1,4,2,8,3,6,5]=>[2,8,5,7,1,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,8,2,5,3,6,4]=>[2,8,1,7,4,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,5,4,2,3,6]=>[1,8,2,4,5,7,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,7,2,6,5,4,3,8]=>[8,2,7,3,4,5,6,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,6,3,2,5,4,8]=>[8,2,3,6,7,4,5,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,1,7,6,3,2,4,5]=>[1,8,2,3,6,7,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,2,5,7,6,3,1,4]=>[1,7,4,2,3,6,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,8,1,7,5,4,2]=>[6,3,1,8,2,4,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [8,2,6,7,5,4,1,3]=>[1,7,3,2,4,5,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,7,8,6,3,1,5,4]=>[7,2,1,3,6,8,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,8,1,6,5,4,3]=>[7,2,1,8,3,4,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,1,8,6,3,7,4,5]=>[7,8,1,3,6,2,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,7,5,4,3,8,6]=>[7,8,2,4,5,6,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,8,4,5,3,6,7]=>[7,8,1,5,4,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,7,8,3,6,5,4]=>[7,8,2,1,6,3,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,8,5,7,6,3,4]=>[7,8,1,4,2,3,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,4,8,5,7,3,6]=>[7,8,5,1,4,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,4,6,8,3,7]=>[7,8,4,5,3,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,7,5,2,6,1,4]=>[1,6,2,4,7,3,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,7,4,6,8,1,2]=>[4,6,2,5,3,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,3,7,6,2,1,4]=>[4,1,6,2,3,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,4,8,6,3,1,7]=>[4,7,5,1,3,6,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,6,3,8,5,1,7]=>[5,7,3,6,1,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,3,2,7,8,1,5]=>[5,3,6,7,2,1,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,8,7,5,4,1,2]=>[6,3,1,2,4,5,8,7]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,8,2,1,7,6,4,3]=>[4,1,7,8,2,3,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,3,8,1,5,7,4,2]=>[3,6,1,8,4,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,2,4,3,1,5,8,6]=>[2,7,5,6,8,4,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,3,1,5,4,6,2]=>[2,1,6,8,4,5,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,1,4,6,5,3]=>[2,7,1,8,5,3,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,3,1,4,5,8,7]=>[3,7,6,8,5,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,6,1,4,3,2,8,7]=>[4,3,8,5,6,7,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,1,8,3,6,2,4]=>[4,2,8,1,6,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,1,4,5,3,2,7]=>[3,1,8,5,4,6,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,5,4,3,8,2]=>[3,2,8,4,5,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,7,1,3,8,2,4]=>[3,4,2,8,6,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,6,1,4,7,3,5]=>[1,7,3,8,5,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,1,6,3,7,4,2]=>[4,1,8,3,6,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,5,6,1,7,4,2]=>[1,6,4,3,8,2,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,5,4,1,8,2]=>[2,6,3,4,5,8,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,6,4,5,1,2,7]=>[1,6,3,5,4,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,5,8,1,6,2,4]=>[2,6,4,1,8,3,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,4,1,2,8,7]=>[3,6,4,5,8,7,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,6,3,5,1,4,8,7]=>[7,3,6,4,8,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,8,5,1,6,4,3]=>[7,2,1,4,8,3,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,8,3,4,6,1,5,7]=>[7,1,6,5,3,8,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,4,3,6,1,8,5]=>[7,2,5,6,3,8,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,7,2,8,1,5,6]=>[6,5,2,7,1,8,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,3,5,8,1,6,7]=>[5,7,6,4,1,8,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,8,4,7,1,6,5]=>[6,7,1,5,2,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,7,5,1,6,3]=>[1,7,5,2,4,8,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,4,7,1,6,5,2]=>[6,1,5,2,8,3,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,4,6,1,5,8,7]=>[6,7,5,3,8,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,4,5,7,6,1,2]=>[1,6,5,4,2,3,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,6,5,7,1,3]=>[7,1,5,3,4,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,8,4,6,7,1,5]=>[7,6,1,5,3,2,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,3,5,8,7,1,6]=>[7,5,6,4,1,2,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,5,6,8,1,7]=>[6,7,5,4,3,1,8,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,8,1,4,2,7,3]=>[4,3,1,8,5,7,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,8,4,6,2,3]=>[8,4,2,1,5,3,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,7,8,6,2,4]=>[8,6,4,2,1,3,7,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,5,7,8,6,1,2,4]=>[6,4,2,1,3,8,7,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,1,6,8,2,7,4]=>[6,4,8,3,1,7,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,6,8,2,7,4]=>[6,8,4,3,1,7,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,6,8,1,7,4]=>[7,6,4,3,1,8,2,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [5,6,4,8,2,1,7,3]=>[4,3,5,1,7,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,3,8,4,7,2]=>[4,8,3,6,1,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,1,6,8,3,7,4]=>[7,4,8,3,1,6,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,6,8,3,7,4]=>[4,8,7,3,1,6,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,8,6,2,3,4]=>[4,2,8,1,3,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,2,7,8,6,3,4]=>[8,4,7,2,1,3,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,7,5,2,8,3,4]=>[8,3,2,4,7,1,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,7,5,2,8,3,4]=>[3,8,2,4,7,1,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,7,5,1,8,3,4]=>[7,3,2,4,8,1,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,2,8,6,1,3,4]=>[4,2,7,1,3,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,7,8,6,2,1,4]=>[6,4,2,1,3,7,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,1,7,8,6,3,4,2]=>[4,8,2,1,3,6,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,3,7,8,6,4,2]=>[4,8,6,2,1,3,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,2,7,8,4,6,1,3]=>[4,7,2,1,5,3,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,5,7,8,6,1,4]=>[6,7,4,2,1,3,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,7,5,1,8,3,4]=>[3,7,2,4,8,1,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,6,7,5,8,3,4]=>[8,7,3,2,4,1,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,2,7,5,4,1,8,3]=>[3,7,2,4,5,8,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,7,5,2,4,1,8,3]=>[3,2,4,7,5,8,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,5,3,8,1,4]=>[3,2,7,4,6,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,4,5,2,1,8,3]=>[3,2,5,4,7,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,8,6,4,3,2]=>[4,8,2,1,3,5,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,5,7,8,6,3,1,4]=>[7,4,2,1,3,6,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,1,7,8,6,3,2,4]=>[4,8,2,1,3,6,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,7,5,1,8,2,4]=>[3,6,2,4,8,1,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,7,5,3,8,2,4]=>[8,3,2,4,6,1,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,7,5,4,2,8,3]=>[8,3,2,4,5,7,1,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,5,1,4,2,8,3]=>[3,2,4,8,5,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,6,4,1,2,3]=>[4,2,1,3,5,8,7,6]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,1,7,2,6,5,8,3]=>[5,8,2,7,3,4,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,7,1,5,6,8,3]=>[7,5,2,8,4,3,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,4,1,5,2,8,3]=>[3,2,5,8,4,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,7,4,5,2,8,3]=>[8,3,2,5,4,7,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,7,5,8,2,4]=>[8,3,6,2,4,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,3,7,8,6,1,4]=>[7,4,6,2,1,3,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,5,4,2,1,8,3]=>[3,2,4,5,7,8,1,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,7,4,2,5,1,8,3]=>[3,2,5,7,4,8,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,7,4,5,1,8,3]=>[3,7,2,5,4,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,3,7,5,8,1,4]=>[3,7,6,2,4,1,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,6,3,2,8,7]=>[5,4,8,3,6,7,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,6,1,3,8,4,5]=>[7,2,3,8,6,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,6,1,3,8,5,4]=>[7,2,3,8,6,1,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,5,1,8,2,6,4]=>[2,6,4,8,1,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,5,1,8,2,4,6]=>[2,6,4,8,1,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,5,1,8,6,2,4]=>[6,2,4,8,1,3,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,7,1,5,8,3,4]=>[7,3,2,8,4,1,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,6,7,3,8,5,4]=>[7,8,3,2,6,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,7,4,1,8,5,3]=>[7,3,2,5,8,1,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,5,1,8,4,7,2]=>[6,3,4,8,1,5,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,1,8,4,2,7]=>[6,3,4,8,1,5,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,4,8,1,6,2]=>[6,2,4,5,1,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,5,4,8,1,2,6]=>[6,2,4,5,1,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,1,5,8,7,3,2]=>[5,3,8,4,1,2,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,6,1,5,8,7,2,3]=>[5,3,8,4,1,2,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,5,8,2,7,3]=>[5,3,8,4,1,7,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,5,8,2,3,7]=>[5,3,8,4,1,7,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,5,8,3,6,2]=>[5,2,8,4,1,6,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,4,7,8,1,6,5]=>[7,6,5,2,1,8,3,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [6,8,5,4,3,2,7,1]=>[3,1,4,5,6,7,2,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,8,5,4,3,7,2,1]=>[3,1,4,5,6,2,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,8,4,3,2,1,7,6]=>[4,1,5,6,7,8,2,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,3,4,6,2,1,5,7]=>[1,6,5,3,7,8,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,6,2,1,8,4,7]=>[6,4,3,7,8,1,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,2,6,8,4,1,7]=>[6,4,7,3,1,5,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,5,7,3,8,6,1]=>[7,5,4,2,6,1,3,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,2,5,6,8,3,1,7]=>[5,7,4,3,1,6,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,1,5,6,3,7]=>[5,7,1,8,4,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,6,1,8,4,3,7]=>[7,4,3,8,1,5,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,6,8,1,4,2,7]=>[4,6,3,1,8,5,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,6,8,1,3,2,7]=>[5,4,3,1,8,6,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,6,8,3,2,7]=>[8,5,4,3,1,6,7,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [4,5,6,3,8,2,1,7]=>[5,4,3,6,1,7,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,3,7,2,8,6,1]=>[5,4,6,2,7,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,3,2,8,5,1]=>[3,5,2,6,7,1,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,4,7,3,2,8,5]=>[3,8,5,2,6,7,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,8,4,5,3,2,6]=>[8,2,1,5,4,6,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,7,3,8,4,2,6]=>[4,8,2,6,1,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,1,7,4,3,8,6]=>[7,4,8,2,5,6,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,7,4,1,8,6,3]=>[7,4,2,5,8,1,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,3,7,1,4,8,6,2]=>[4,6,2,8,5,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,3,7,8,4,2,1]=>[4,3,6,2,1,5,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,1,6,3,7,8,4,2]=>[4,8,3,6,2,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,1,3,7,8,4,2]=>[4,3,8,6,2,1,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,7,8,3,4,2]=>[4,3,8,2,1,6,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,7,4,8,5,2]=>[8,3,6,2,5,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,2,4,1,8,5,3]=>[3,2,7,5,8,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,2,1,4,3,8,5]=>[3,2,7,8,5,6,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,7,3,1,2,8,5]=>[3,5,2,6,8,7,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,3,1,2,7,8,4]=>[4,3,6,8,7,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,3,2,7,8,4]=>[4,3,8,6,7,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,3,2,1,7,8,4]=>[4,3,6,7,8,2,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,6,3,7,8,4,1]=>[7,4,3,6,2,1,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,6,3,1,7,8,4]=>[7,4,3,6,8,2,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,4,7,3,1,8,5]=>[7,3,5,2,6,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,2,8,4,5,1]=>[3,6,2,7,1,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,7,2,8,4,1,5]=>[3,6,2,7,1,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,8,4,2,1,5,6]=>[2,6,1,5,7,8,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,7,2,1,3,8,6,5]=>[5,2,7,8,6,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,7,8,6,4,2,5]=>[8,6,2,1,3,5,7,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [7,3,8,4,6,2,1,5]=>[2,6,1,5,3,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,3,8,2,1,6,4]=>[4,2,6,1,7,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,8,5,2,1,4]=>[3,6,2,1,4,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,2,7,8,5,3,1]=>[5,3,7,2,1,4,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,6,2,1,7,8,5,3]=>[5,3,7,8,2,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,5,8,1,2,6,3]=>[2,5,4,1,8,7,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,1,7,3,8,6,4]=>[7,4,8,2,6,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,2,1,3,8,5,4]=>[3,2,7,8,6,1,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,6,7,8,2,4,3]=>[4,8,3,2,1,7,5,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,7,1,8,5,2,4]=>[3,6,2,8,1,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,7,1,8,5,4,3]=>[3,7,2,8,1,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,1,3,6,8,2,5,7]=>[5,8,6,3,1,7,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,3,6,8,1,5,7]=>[5,7,6,3,1,8,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,5,8,2,1,7,4]=>[6,3,4,1,7,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,2,1,3,8,7,6]=>[5,4,7,8,6,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,6,5,8,1,3,7]=>[7,5,3,4,1,8,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,4,5,8,3,7]=>[8,3,7,5,4,1,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,2,4,5,8,1,3,7]=>[3,7,5,4,1,8,6,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,6,5,8,2,7]=>[8,6,5,3,4,1,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,3,4,5,8,2,7]=>[8,3,6,5,4,1,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,8,5,2,7,6]=>[6,5,8,1,4,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,4,1,7,6,3,5]=>[7,1,5,8,2,3,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,4,2,7,3,6,5]=>[1,8,5,7,2,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,3,2,8,7,4,6]=>[8,4,6,7,1,2,5,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,6,4,5,8,3,2]=>[8,2,3,5,4,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,7,4,1,2,6,3]=>[4,1,2,5,8,7,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,7,4,6,2,1,3]=>[4,1,2,5,3,7,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,2,5,8,6,7,1]=>[6,5,7,4,1,3,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,5,6,8,7,2]=>[5,8,6,4,3,1,2,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,4,8,6,7,1,3,5]=>[7,5,1,3,2,8,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,6,2,8,1,7,5]=>[5,6,3,7,1,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,4,8,2,1,6,5]=>[6,2,5,1,7,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,5,8,6,7,1,4]=>[7,6,4,1,3,2,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,2,5,6,8,7,1,4]=>[6,7,4,3,1,2,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,8,5,6,7,3,4]=>[7,8,1,4,3,2,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,2,8,3,5,6,7,4]=>[8,7,1,6,4,3,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,3,7,1,8,6,5]=>[5,7,6,2,8,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,4,8,1,7,5]=>[6,7,3,5,1,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,8,5,4,1,3,6]=>[7,2,1,4,5,8,6,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,5,3,8,4,2,6]=>[8,2,4,6,1,5,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,3,1,2,8,6]=>[5,2,4,6,8,7,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,2,4,8,5,3,1,6]=>[2,7,5,1,4,6,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,8,3,1,2,7,6,5]=>[5,1,6,8,7,2,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,2,7,4,1,8,6]=>[6,4,7,2,5,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,4,7,1,3,5,6]=>[7,1,5,2,8,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,4,6,7,1,3,5]=>[1,7,5,3,2,8,6,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,8,2,3,6,7,1,5]=>[5,1,7,6,3,2,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,7,6,1,8,4]=>[6,4,7,2,3,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,3,2,5,8,7,4]=>[8,3,6,7,4,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,3,2,1,6,7,4]=>[4,1,6,7,8,3,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,7,3,4,6,2,1]=>[4,1,2,6,5,3,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,2,7,4,1,6,3]=>[4,1,7,2,5,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,4,2,8,7,6,3]=>[4,8,5,7,1,2,3,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,7,6,5,8,2,1,3]=>[5,2,3,4,1,7,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,7,1,6,2,8,4]=>[4,6,2,8,3,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,8,7,1,3,4]=>[4,7,3,1,2,8,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,5,4,1,8,6,3]=>[7,2,4,5,8,1,3,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,2,5,6,8,7,1,3]=>[5,7,4,3,1,2,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,4,2,5,6,7,3]=>[8,1,5,7,4,3,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,4,1,5,6,7,2]=>[6,1,5,8,4,3,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,8,5,6,7,1,3]=>[5,7,1,4,3,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,4,7,1,8,6,3]=>[4,7,5,2,8,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,4,7,1,8,6,2]=>[4,6,5,2,8,1,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,3,6,5,2,4,7]=>[1,8,6,3,4,7,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,4,3,6,5,2,7]=>[1,8,5,6,3,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,5,2,1,8,7,4]=>[6,3,4,7,8,1,2,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,3,6,4,1,5,2,7]=>[1,6,3,5,8,4,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,6,3,4,5,1,7]=>[1,7,3,6,5,4,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,3,4,8,5,7,2,6]=>[8,6,5,1,4,2,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,8,4,7,6,2,3,1]=>[4,1,5,2,3,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,4,7,5,8,2,6]=>[8,6,5,2,4,1,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,2,4,8,7,6]=>[8,6,4,7,5,1,2,3]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,5,1,3,8,7,4]=>[7,3,4,8,6,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,1,6,5,8,3,2]=>[5,2,8,3,4,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,8,7,6,3,1,2]=>[4,5,1,2,3,6,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,8,5,1,4,7,6,3]=>[7,1,4,8,5,2,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,3,5,8,6,7,2]=>[5,8,6,4,1,3,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,3,2,7,1,5]=>[3,1,5,6,7,2,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,4,7,8,2,1,6,5]=>[6,5,2,1,7,8,3,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,1,3,2,8,6,7,4]=>[4,8,6,7,1,3,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,3,1,6,8,7,4]=>[4,7,6,8,3,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,4,7,3,8,1,6,5]=>[7,5,2,6,1,8,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,8,2,7,4,1,5]=>[3,6,1,7,2,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,1,7,8,4,2,6]=>[6,4,8,2,1,5,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,5,8,3,1,6]=>[7,2,5,4,1,6,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,4,3,7,2,6,5]=>[8,1,5,6,2,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,8,7,2,1,6,5]=>[6,5,1,2,7,8,3,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,4,7,8,3,6,2,1]=>[4,5,2,1,6,3,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,8,7,4,1,2,5]=>[3,6,1,2,5,8,7,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,5,7,2,4,8,1,6]=>[6,4,2,7,5,1,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,4,7,2,3,1,5,6]=>[1,5,2,7,6,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,7,1,3,2,5,6]=>[1,5,2,8,6,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,7,2,1,3,5,6]=>[1,5,2,7,8,6,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,5,7,2,6,1,8,4]=>[6,4,2,7,3,8,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,8,5,7,2,4]=>[3,8,6,1,4,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,2,6,7,1,4]=>[4,1,6,7,3,2,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,5,3,6,2,7,1]=>[5,1,4,6,3,7,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,1,5,4,7,6,3]=>[7,1,8,4,5,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,8,7,4,6,2,3]=>[8,4,1,2,5,3,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,1,7,6,4,5,8,3]=>[7,8,2,3,5,4,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,2,4,6,5,8,3]=>[8,2,7,5,3,4,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,7,6,8,2,4]=>[6,4,8,2,3,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,6,1,3,7,4]=>[4,1,7,3,8,6,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,8,7,2,1,4]=>[3,6,4,1,2,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,7,8,4,1,6,3]=>[7,4,2,1,5,8,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,1,5,2,6,8,7,3]=>[5,8,4,7,3,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,4,5,1,6,8,7,2]=>[6,5,4,8,3,1,2,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,8,5,1,6,7,3]=>[5,7,1,4,8,3,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,8,5,2,6,7,3]=>[5,8,1,4,7,3,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,1,8,5,4,6,3]=>[7,2,8,1,4,5,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,6,2,1,3,7,4]=>[4,1,3,7,8,6,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,2,4,1,5,6,7,3]=>[1,7,5,8,4,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,3,5,8,1,7,2]=>[5,3,6,4,1,8,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,3,5,4,6,2]=>[8,2,1,6,4,5,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,5,1,8,6,7,2]=>[6,5,4,8,1,3,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,1,4,5,6,7,2]=>[6,1,8,5,4,3,2,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,4,5,6,8,2,1,7]=>[6,5,4,3,1,7,8,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,5,7,1,8,6,2]=>[6,5,4,2,8,1,3,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,5,7,8,2,6,1]=>[6,5,4,2,1,7,3,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,6,2,8,5,1,7]=>[6,5,3,7,1,4,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,6,8,1,5,2,7]=>[6,5,3,1,8,4,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,7,2,1,8,6,5]=>[6,5,2,7,8,1,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,8,2,1,5,6,7]=>[6,5,1,7,8,4,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,5,2,6,7,8,1,4]=>[6,4,7,3,2,1,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,7,8,4,6,1]=>[6,4,7,2,1,5,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,8,4,1,6,7]=>[6,4,7,1,5,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,6,2,8,4,1,7]=>[6,4,3,7,1,5,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,8,4,1,2,7]=>[6,4,3,1,5,8,7,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,7,2,4,8,6,1]=>[6,4,2,7,5,1,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,7,2,8,4,6,1]=>[6,4,2,7,1,5,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,8,4,1,6,2]=>[6,4,2,1,5,8,3,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,2,1,7,8,5,4]=>[6,3,7,8,2,1,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,2,1,8,5,4,7]=>[6,3,7,8,1,4,5,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,7,2,4,8,5,1]=>[6,3,2,7,5,1,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,7,2,8,5,4,1]=>[6,3,2,7,1,4,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,7,8,4,5,1,2]=>[6,3,2,1,5,4,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,8,2,4,5,1,7]=>[6,3,1,7,5,4,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,1,4,8,6,5]=>[6,2,7,8,5,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,2,1,8,5,6,4]=>[6,2,7,8,1,4,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,8,4,5,6,1]=>[6,2,7,1,5,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,8,2,4,5,6,1]=>[6,2,1,7,5,4,3,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,2,1,4,5,6,7]=>[6,1,7,8,5,4,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,1,5,6,7,8,3,2]=>[5,8,4,3,2,1,6,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,1,5,7,3,8,6,2]=>[5,8,4,2,6,1,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,3,7,8,5,2]=>[5,8,3,6,2,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,6,3,8,5,2,7]=>[5,8,3,6,1,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,6,7,3,8,5,2]=>[5,8,3,2,6,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,7,8,5,2,3]=>[5,8,3,2,1,4,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,8,3,5,2,7]=>[5,8,3,1,6,4,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,3,2,8,6,5]=>[5,8,2,6,7,1,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,7,8,3,5,6,2]=>[5,8,2,1,6,4,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,8,3,2,5,6,7]=>[5,8,1,6,7,4,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,5,2,6,7,8,3,1]=>[5,4,7,3,2,1,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,2,6,8,1,3,7]=>[5,4,7,3,1,8,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,6,3,8,1,2,7]=>[5,4,3,6,1,8,7,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,6,8,3,1,2,7]=>[5,4,3,1,6,8,7,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,7,3,8,1,6,2]=>[5,4,2,6,1,8,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,3,2,1,6,7]=>[5,4,1,6,7,8,3,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,6,2,3,7,8,5,1]=>[5,3,7,6,2,1,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,2,3,8,5,1,7]=>[5,3,7,6,1,4,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,7,3,8,5,1]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,2,7,8,5,1,3]=>[5,3,7,2,1,4,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,3,2,8,5,1]=>[5,3,2,6,7,1,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,8,3,2,5,1,7]=>[5,3,1,6,7,4,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,2,3,1,8,6,5]=>[5,2,7,6,8,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,2,8,3,5,6,1]=>[5,2,7,1,6,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,8,3,2,5,6,1]=>[5,2,1,6,7,4,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,8,2,3,1,5,6,7]=>[5,1,7,6,8,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,2,6,8,4,3,7]=>[4,8,7,3,1,5,6,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,7,4,8,6,3]=>[4,8,7,2,5,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,2,7,8,4,6,3]=>[4,8,7,2,1,5,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,8,4,3,6,7]=>[4,8,7,1,5,6,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,3,8,4,2,7]=>[4,8,3,6,1,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,6,7,4,8,2,3]=>[4,8,3,2,5,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,7,8,4,2,3]=>[4,8,3,2,1,5,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,3,4,2,6,7]=>[4,8,1,6,5,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,2,3,8,4,1,7]=>[4,3,7,6,1,5,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,2,7,8,4,1,3]=>[4,3,7,2,1,5,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,3,4,2,1,7]=>[4,3,1,6,5,7,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,2,3,4,8,6,1]=>[4,2,7,6,5,1,3,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,7,8,3,4,2,6,1]=>[4,2,1,6,5,7,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,2,3,4,1,6,7]=>[4,1,7,6,5,8,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,2,3,7,8,5,4]=>[3,8,7,6,2,1,4,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,2,3,8,5,4,7]=>[3,8,7,6,1,4,5,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,7,8,5,4,3]=>[3,8,7,2,1,4,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,2,8,4,5,3,7]=>[3,8,7,1,5,4,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,3,4,8,5,2]=>[3,8,2,6,5,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,7,3,8,5,4,2]=>[3,8,2,6,1,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,1,7,8,4,5,3,2]=>[3,8,2,1,5,4,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,8,3,4,5,2,7]=>[3,8,1,6,5,4,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,2,3,8,5,4,1]=>[3,2,7,6,1,4,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,7,2,8,4,5,3,1]=>[3,2,7,1,5,4,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,2,3,4,5,1,7]=>[3,1,7,6,5,4,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,2,3,4,8,6,5]=>[2,8,7,6,5,1,3,4]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,8,4,5,6,3]=>[2,8,7,1,5,4,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,3,4,5,6,2]=>[2,8,1,6,5,4,3,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,1,2,4,3,7,6]=>[4,1,8,7,5,6,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,7,2,6,4,8]=>[8,6,4,2,7,3,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,8,6,1,2,4,7]=>[6,4,1,3,8,7,5,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,1,6,8,2,4,7,5]=>[6,8,3,1,7,5,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,2,8,1,5,7,4]=>[6,3,7,1,8,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,3,8,4,7,5]=>[7,3,8,6,1,5,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,2,3,4,6,8]=>[8,2,4,7,6,5,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [2,7,5,1,3,8,4,6]=>[7,2,4,8,6,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,5,7,4,6,1,3]=>[1,7,4,2,5,3,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,5,1,3,7,4,6]=>[1,7,4,8,6,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,7,5,3,1,6,4]=>[1,7,2,4,6,8,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,2,6,5,4,7,1,3]=>[1,7,3,4,5,2,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,2,5,3,1,6,4]=>[2,1,7,4,6,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,8,6,3,2,4,5]=>[2,8,1,3,6,7,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,1,5,3,2,4,7]=>[3,1,8,4,6,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,7,5,3,2,4,8]=>[8,3,2,4,6,7,5,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,1,6,4,2,3,5]=>[2,1,8,3,5,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,3,6,5,2,4,8]=>[8,2,6,3,4,7,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,3,7,2,6,4,5]=>[1,8,6,2,7,3,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,2,5,6,1,3]=>[2,1,5,7,4,3,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,7,4,5,6,1,3]=>[1,7,2,5,4,3,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,3,6,5,1,7,4]=>[1,7,6,3,4,8,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,6,5,7,3,2,1]=>[5,1,3,4,2,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,8,7,5,4,6,2,1]=>[6,1,2,4,5,3,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,8,5,6,7,3,2,1]=>[5,1,4,3,2,6,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,8,7,6,4,3,5,1]=>[7,1,2,3,5,6,4,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,8,7,4,5,6,2,1]=>[6,1,2,5,4,3,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,7,6,5,3,2,4]=>[8,1,2,3,4,6,7,5]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [2,8,7,6,3,4,5,1]=>[7,1,2,3,6,5,4,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,7,6,5,2,3,4]=>[8,1,2,3,4,7,6,5]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,6,4,8,3,1,5]=>[2,7,3,5,1,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,2,5,8,4,7]=>[8,3,6,7,4,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,7,1,5,8,4,2]=>[3,6,2,8,4,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,5,1,8,4,3,7,6]=>[7,4,8,1,5,6,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,5,4,8,1,3,7]=>[3,7,4,5,1,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,3,5,4,6,8,2,7]=>[8,6,4,5,3,1,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,3,4,5,8,2,7]=>[3,8,6,5,4,1,7,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,3,4,1,5,2,7,6]=>[1,6,5,8,4,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,4,1,7,3,5]=>[1,7,3,5,8,2,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,8,4,5,2,1,6]=>[2,6,1,5,4,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,5,1,8,4,3,6]=>[2,7,4,8,1,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,7,3,2,5,4,8,6]=>[8,2,6,7,4,5,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,5,8,7,4,2]=>[6,3,8,4,1,2,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,3,6,4,5,1,7,2]=>[1,6,3,5,4,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,8,1,2,7,3]=>[4,5,3,1,8,7,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,7,2,3,5,8,1]=>[3,5,2,7,6,4,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,8,4,1,3,5,7,2]=>[3,1,5,8,6,4,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,7,8,6,2,5,1]=>[6,5,2,1,3,7,4,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,1,3,5,7,8,6,2]=>[5,8,6,4,2,1,3,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,2,7,4,6,1,3,5]=>[1,7,2,5,3,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,3,2,8,1,6,5]=>[5,2,6,7,1,8,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,3,8,5,6,1]=>[7,5,2,6,1,4,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,1,5,7,3,4]=>[7,1,3,8,4,2,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,2,5,4,3,1,6]=>[2,1,7,4,5,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,3,4,2,7,6,5]=>[8,1,6,5,7,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,3,2,4,1,8,6]=>[4,2,6,7,5,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,3,4,7,1,5,6]=>[7,1,6,5,2,8,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,6,7,8,2,5]=>[5,8,6,3,2,1,7,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,6,3,2,5,8,4]=>[8,2,3,6,7,4,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,1,5,6,2,7,4]=>[6,1,8,4,3,7,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,5,6,1,7,4,3]=>[1,7,4,3,8,2,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,5,2,8,6,4,3]=>[2,8,4,7,1,3,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,8,6,4,5,2,7,3]=>[8,1,3,5,4,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,3,6,2,7,4]=>[8,1,4,6,3,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,1,7,5,8,4]=>[6,3,7,8,2,4,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,1,8,7,6,3]=>[7,4,5,8,1,2,3,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,2,6,5,8,1,3]=>[5,2,7,3,4,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,1,4,2,7,3,5]=>[3,1,8,5,7,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,7,1,8,2,5]=>[3,6,5,2,8,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,7,8,2,5,6,1]=>[6,5,2,1,7,4,3,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,8,2,4,5,6,7,3]=>[8,1,7,5,4,3,2,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,2,4,1,6,8,7,3]=>[4,7,5,8,3,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,5,7,6,1,8,4]=>[6,7,4,2,3,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,5,6,1,8,7,2]=>[5,6,4,3,8,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,4,1,7,6,8,2]=>[4,6,5,8,2,3,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,4,6,5,7,8,2]=>[6,8,5,3,4,2,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,7,3,5,6,8,2]=>[8,5,2,6,4,3,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,1,3,6,4,8,7,2]=>[4,8,6,3,5,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,2,7,5,8,6,4]=>[8,6,7,2,4,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,2,5,8,3,7,6]=>[8,5,7,4,1,6,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,7,8,5,6,3]=>[8,5,7,2,1,4,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,6,8,4,7,3]=>[4,8,7,3,1,5,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,6,8,5,3,7]=>[5,8,7,3,1,4,6,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,4,8,7,6,3]=>[8,4,7,5,1,2,3,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,2,6,4,8,7,5,3]=>[8,7,3,5,1,2,4,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,2,7,4,8,6,5,3]=>[8,7,2,5,1,3,4,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,2,7,5,8,4,6]=>[8,6,7,2,4,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,7,5,4,8,6]=>[7,6,8,2,4,5,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,2,8,5,7,4,6]=>[8,6,7,1,4,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,4,8,7,3,6]=>[8,4,7,5,1,2,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,6,4,8,7,3,5]=>[8,7,3,5,1,2,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,8,5,7,3,4]=>[8,7,3,1,4,2,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,6,8,2,7,3,4]=>[8,4,3,1,7,2,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,7,8,2,5,3,4]=>[8,3,2,1,7,4,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,8,3,7,5,4]=>[8,7,3,1,6,2,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,7,8,2,3,6,4]=>[8,4,2,1,7,6,3,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,2,7,8,4,6,3]=>[8,4,7,2,1,5,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,2,8,3,6,5]=>[8,5,2,7,1,6,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,2,4,8,7,5]=>[8,6,3,7,5,1,2,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,7,3,4,8,5,2]=>[8,3,2,6,5,1,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,3,7,4,8,6,2]=>[8,4,6,2,5,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,4,1,5,3,7,6]=>[7,1,5,8,4,6,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,1,5,7,2,6]=>[6,1,5,8,4,2,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,6,4,2,8,7,5]=>[8,6,3,5,7,1,2,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,7,4,2,8,6,5]=>[8,6,2,5,7,1,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,8,4,2,7,6,5]=>[8,6,1,5,7,2,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,8,4,7,3,6,5]=>[8,7,1,5,2,6,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,7,4,8,3,6,5]=>[8,7,2,5,1,6,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,4,8,3,7,6]=>[8,4,7,5,1,6,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,5,2,7,4,6]=>[8,1,6,4,7,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,5,1,4,7,6]=>[7,1,6,4,8,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,8,6,1,4,7,5]=>[7,6,1,3,8,5,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,8,6,2,7,4,5]=>[8,6,1,3,7,2,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,8,6,7,2,3,5]=>[8,5,1,3,2,7,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,6,8,7,2,3,4]=>[8,4,3,1,2,7,6,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,5,8,7,3,6,4]=>[8,7,4,1,2,6,3,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,7,8,6,3,5,4]=>[8,7,2,1,3,6,4,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,7,8,6,2,3,4]=>[8,4,2,1,3,7,6,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,7,6,8,2,3,5]=>[8,5,2,3,1,7,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,7,6,2,8,4,5]=>[8,6,2,3,7,1,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,8,7,4,1,6,5]=>[7,6,1,2,5,8,3,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,8,4,7,6,3,5]=>[8,7,1,5,2,3,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,5,8,7,6,3,4]=>[8,7,4,1,2,3,6,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,6,8,7,5,3,4]=>[8,7,3,1,2,4,6,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,2,6,7,3,4,8,1]=>[4,7,3,2,6,5,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,4,7,6,3,8,1]=>[4,7,5,2,3,6,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,2,1,7,8,3,4]=>[4,3,7,8,2,1,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,1,4,8,7,3]=>[4,3,7,8,5,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,4,5,8,7,3]=>[7,3,8,5,4,1,2,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,7,6,4,5,8,1]=>[7,6,2,3,5,4,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,1,7,5,8,3,4]=>[7,3,8,2,4,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,7,4,8,5,3]=>[7,3,8,2,5,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,2,7,8,4,3,6]=>[4,8,7,2,1,5,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,7,4,8,3,5]=>[7,3,8,2,5,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,4,1,7,8,2,5]=>[6,3,5,8,2,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,6,1,3,8,7,2]=>[4,5,3,8,6,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,6,4,1,5,8,7,2]=>[6,3,5,8,4,1,2,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,5,4,8,7,3]=>[7,3,8,4,5,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,1,4,7,8,5,3]=>[7,3,8,5,2,1,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,2,4,8,6,7,3]=>[4,8,7,5,1,3,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,4,8,7,3,6]=>[4,8,7,5,1,2,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,4,8,7,6,3]=>[4,8,7,5,1,2,3,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,2,3,8,5,4,7,6]=>[8,7,6,1,4,5,2,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,1,5,3,8,6,4,7]=>[7,8,4,6,1,3,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,2,3,8,5,6,4,7]=>[8,7,6,1,4,3,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,2,4,8,6,3,7]=>[4,8,7,5,1,3,6,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,4,8,3,7,6]=>[4,8,7,5,1,6,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,1,4,8,2,7]=>[4,3,6,8,5,1,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,4,3,1,8,6,7]=>[7,4,5,6,8,1,3,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,4,6,3,1,8,7,2]=>[4,5,3,6,8,1,2,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,4,5,1,8,7,2]=>[6,3,5,4,8,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,5,4,1,8,7,2]=>[6,3,4,5,8,1,2,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,2,6,1,7,8,4,3]=>[4,7,3,8,2,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,6,2,8,7,3,4]=>[4,8,3,7,1,2,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,3,7,8,6,4,5]=>[7,8,6,2,1,3,5,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,3,7,8,5,6,4]=>[7,8,6,2,1,4,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,1,7,8,6,3]=>[4,7,5,8,2,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,4,2,8,6,7,3]=>[4,8,5,7,1,3,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,3,6,8,5,7,4]=>[7,8,6,3,1,4,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,3,8,6,7,4,5]=>[8,7,6,1,3,2,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,3,8,5,7,4,6]=>[8,7,6,1,4,2,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,1,3,6,8,7,4,5]=>[7,8,6,3,1,2,5,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,6,2,8,7,5,4]=>[6,8,3,7,1,2,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,2,8,4,5,3,6,7]=>[8,7,1,5,4,6,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,3,4,2,5,6,7]=>[8,1,6,5,7,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,4,7,6,5,3,2,1]=>[1,5,2,3,4,6,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [8,4,7,5,6,3,2,1]=>[1,5,2,4,3,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,5,7,4,6,3,2,1]=>[1,4,2,5,3,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,6,7,3,5,4,2,1]=>[1,3,2,6,4,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,5,7,3,6,4,2,1]=>[1,4,2,6,3,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,7,4,6,5,3,2]=>[1,8,2,5,3,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,7,3,6,5,4,2]=>[1,8,2,6,3,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,2,7,3,6,5,4,1]=>[1,7,2,6,3,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,3,7,2,6,5,4,1]=>[1,6,2,7,3,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,5,7,2,6,4,3,1]=>[1,4,2,7,3,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,6,7,2,5,4,3,1]=>[1,3,2,7,4,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,4,7,1,6,5,3,2]=>[1,5,2,8,3,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,3,7,1,6,5,4,2]=>[1,6,2,8,3,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,2,7,1,6,5,4,3]=>[1,7,2,8,3,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,7,2,6,5,4,3]=>[1,8,2,7,3,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,7,6,5,3,4,2]=>[1,8,2,3,4,6,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,7,6,5,2,4,1]=>[1,6,2,3,4,7,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,4,7,6,5,2,3,1]=>[1,5,2,3,4,7,6,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,5,7,6,4,2,3,1]=>[1,4,2,3,5,7,6,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,6,7,5,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,5,7,6,4,1,3,2]=>[1,4,2,3,5,8,6,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,7,6,5,1,4,2]=>[1,6,2,3,4,8,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,8,1,3,2,5,4,7]=>[3,1,8,6,7,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,1,4,2,5,3,7]=>[3,1,8,5,7,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,6,1,4,2,5]=>[2,1,6,3,8,5,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,5,3,6,1,4]=>[2,1,7,4,6,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,5,1,4,3,6]=>[2,1,7,4,8,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,4,3,6,2,5]=>[2,1,8,5,6,3,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,4,3,7,2,6]=>[4,1,8,5,6,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,5,1,4,3,7]=>[3,1,7,4,8,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,5,3,7,1,4]=>[3,1,7,4,6,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,5,4,7,1,3]=>[3,1,7,4,5,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,4,7,6,8,1,3]=>[7,4,5,2,3,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,3,7,6,8,1,4]=>[7,4,6,2,3,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,4,3,7,6,8]=>[7,4,8,5,6,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,4,3,7,5,8]=>[7,3,8,5,6,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,8,1,4,3,7]=>[7,3,4,1,8,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,5,3,7,4,8]=>[7,3,8,4,6,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,3,7,4,8,1,5]=>[7,3,6,2,5,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,7,5,8,1,3]=>[7,3,5,2,4,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,6,4,7,1,2]=>[4,1,6,3,5,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,6,4,7,1,3]=>[4,1,7,3,5,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,6,3,7,1,5]=>[5,1,7,3,6,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,1,5,3,7,2,6]=>[5,1,8,4,6,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,1,5,2,6,3,7]=>[5,1,8,4,7,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,7,1,5,2,6]=>[5,1,6,2,8,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,7,1,4,2,5]=>[3,1,6,2,8,5,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,3,2,6,4,7]=>[4,1,8,6,7,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,7,1,3,2,6]=>[4,1,5,2,8,6,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,7,1,3,2,5]=>[3,1,5,2,8,6,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,7,1,3,2,4]=>[3,1,4,2,8,6,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,6,8,2,4,1,3]=>[4,2,3,1,7,5,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,6,8,1,3,2,5]=>[5,2,3,1,8,6,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,5,8,1,3,2,6]=>[5,2,4,1,8,6,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,3,2,6,5,8]=>[5,2,8,6,7,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,4,2,6,5,8]=>[6,2,8,5,7,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,6,8,1,4,2,5]=>[6,2,3,1,8,5,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,6,8,2,5,1,4]=>[6,2,3,1,7,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,6,8,2,5,1,3]=>[5,2,3,1,7,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,5,8,3,6,1,2]=>[5,2,4,1,6,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,5,8,2,6,1,3]=>[5,2,4,1,7,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,5,8,2,6,1,4]=>[6,2,4,1,7,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,8,2,6,1,5]=>[6,2,5,1,7,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,8,1,5,2,6]=>[6,2,5,1,8,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,5,2,6,4,8]=>[6,2,8,4,7,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,6,1,5,4,8]=>[6,2,7,3,8,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,6,5,8,1,4]=>[6,2,7,3,4,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,6,5,8,1,2]=>[5,2,6,3,4,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,5,8,4,7,1,2]=>[6,3,4,1,5,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,8,4,7,1,3]=>[7,3,4,1,5,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,8,3,7,1,4]=>[7,3,4,1,6,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,3,7,1,5,4,8]=>[7,3,6,2,8,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,3,7,2,1,5]=>[3,1,5,6,2,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,7,5,2,4,1]=>[3,1,6,2,4,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,6,8,3,5,2,4,1]=>[2,3,1,6,4,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,3,7,4,5,2,1]=>[3,1,6,2,5,4,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,3,5,8,4,2,1]=>[3,2,6,4,1,5,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,7,8,3,6,2,1,4]=>[4,2,1,6,3,7,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,3,6,7,2,1,4]=>[4,1,6,3,2,7,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,8,7,2,5,1]=>[3,6,5,1,2,7,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,8,4,7,2,1,5]=>[3,6,1,5,2,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,8,4,1,7,5,3]=>[3,7,1,5,8,2,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,7,4,1,5,3,8]=>[3,7,2,5,8,4,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,4,7,5,8,2,1]=>[3,6,5,2,4,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,5,7,8,4,2,1]=>[3,6,4,2,1,5,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,7,3,6,8,2,1,4]=>[4,2,6,3,1,7,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,3,7,2,1,4]=>[4,3,1,6,2,7,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,8,3,5,2,1]=>[5,3,2,1,6,4,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,6,8,3,5,7,2,1]=>[5,3,1,6,4,2,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,3,5,6,8,2,1]=>[5,2,6,4,3,1,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,7,3,5,8,2,6,1]=>[5,2,6,4,1,7,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,7,8,2,1,6]=>[4,6,5,2,1,7,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,8,2,4,1,6,7]=>[4,6,1,7,5,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,4,8,2,6,1,7]=>[4,6,5,1,7,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,6,2,5,7,1]=>[5,1,6,3,7,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,3,5,7,2,6,1]=>[5,1,6,4,2,7,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,5,6,7,2,1]=>[5,1,6,4,3,2,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,7,8,3,5,6,2,1]=>[5,2,1,6,4,3,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,8,3,6,2,5,1]=>[5,2,1,6,3,7,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,6,7,2,5,1]=>[5,1,6,3,2,7,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,7,2,5,6,1]=>[5,1,6,2,7,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,8,2,4,1,7,6]=>[4,6,1,7,5,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,8,4,1,7,3,6]=>[4,7,1,5,8,2,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,5,8,7,2,4,1]=>[3,6,4,1,2,7,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,3,7,2,6,4,1]=>[4,1,6,2,7,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,4,2,3,1,6,7]=>[4,1,5,7,6,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,4,2,3,1,7,6]=>[4,1,5,7,6,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,3,8,2,1,7]=>[3,5,4,6,1,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,8,5,3,7,2,1]=>[3,5,1,4,6,2,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,5,3,7,1,8,2]=>[3,5,4,6,2,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,3,7,1,8,2,4]=>[4,3,6,2,8,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,4,8,2,1,7]=>[4,3,6,5,1,7,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,7,4,8,2,1]=>[3,6,4,2,5,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,5,4,7,8,2,1]=>[3,6,4,5,2,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,7,2,4,1,6,8]=>[4,6,2,7,5,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,4,7,2,6,1,8]=>[4,6,5,2,7,3,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,6,2,5,8,1]=>[5,2,6,3,7,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,3,6,8,2,5,1]=>[5,2,6,3,1,7,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,3,5,8,2,1]=>[5,3,2,6,4,1,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,7,8,3,6,2,1]=>[5,4,2,1,6,3,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,8,3,6,7,2,1]=>[5,4,1,6,3,2,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,8,3,7,2,6,1]=>[5,4,1,6,2,7,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,6,8,2,1,7]=>[4,6,5,3,1,7,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,6,8,2,1,4,7]=>[4,6,3,1,7,8,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,6,7,1,8,2,4]=>[4,6,3,2,8,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,6,7,1,8,2]=>[4,6,5,3,2,8,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,5,7,8,2,1]=>[5,3,6,4,2,1,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,7,3,6,8,2,1]=>[5,4,2,6,3,1,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,6,8,3,7,2,1]=>[5,4,3,1,6,2,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,7,4,8,6,3,2,1]=>[4,2,5,1,3,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,2,6,5,1,8,7,4]=>[6,7,3,4,8,1,2,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,5,6,7,2,8,4,1]=>[6,4,3,2,7,1,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,2,5,3,4,8,7]=>[8,3,7,4,6,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,8,2,4,6,5,7]=>[8,6,1,7,5,3,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,6,4,8,5]=>[8,2,7,6,3,5,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,2,5,3,7,4]=>[8,3,1,7,4,6,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,2,5,3,4,7,6]=>[8,1,7,4,6,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,2,3,6,4,7,5]=>[8,1,7,6,3,5,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,2,8,4,7,6]=>[8,6,4,7,1,5,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,7,3,5,4,6,8]=>[8,7,2,6,4,5,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,2,7,3,4,6,5]=>[8,1,7,2,6,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,8,2,3,7,4,6]=>[8,4,1,7,6,2,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,8,2,3,5,4,7]=>[8,3,1,7,6,4,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,6,1,2,4,8,7]=>[4,6,3,8,7,5,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,5,8,4,2,3,6]=>[2,8,4,1,5,7,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,5,7,4,2,3,6]=>[1,8,4,2,5,7,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,4,5,8,2,3,6]=>[2,8,5,4,1,7,6,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,4,7,5,2,3,6]=>[1,8,5,2,4,7,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,5,4,7,2,3,6]=>[1,8,4,5,2,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,7,5,8,3,4,6]=>[7,8,2,4,1,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,5,4,8,2,3,6]=>[2,8,4,5,1,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,4,8,5,2,3,6]=>[2,8,5,1,4,7,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,3,1,2,4,6,5]=>[2,1,6,8,7,5,3,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,8,1,2,4,6,5]=>[2,6,1,8,7,5,3,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,3,7,1,2,4,6,5]=>[1,6,2,8,7,5,3,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,3,6,1,2,4,7,5]=>[1,6,3,8,7,5,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,3,7,5,1,2,4,6]=>[1,6,2,4,8,7,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,3,6,1,2,4,8,5]=>[2,6,3,8,7,5,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,7,1,8,4,2,3,5]=>[3,2,8,1,5,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,1,7,4,2,3,5]=>[3,1,8,2,5,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,8,5,4,2,3,6]=>[2,8,1,4,5,7,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,1,8,4,5,2,3,6]=>[2,8,1,5,4,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,7,8,5,3,4,6]=>[7,8,2,1,4,6,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,2,3,8,7,5,4]=>[3,8,7,6,1,2,4,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,8,1,4,2,3,7,5]=>[3,1,8,5,7,6,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,3,1,2,7,4,5]=>[3,1,6,8,7,2,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,1,2,8,4,5]=>[3,2,6,8,7,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,4,2,3,8,5]=>[3,2,8,5,7,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,8,5,7,1,2]=>[5,6,3,1,4,2,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,5,4,8,3,7]=>[3,8,7,4,5,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,8,5,4,1,7,6]=>[6,7,1,4,5,8,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,8,2,1,4,6,3,5]=>[2,1,7,8,5,3,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,8,5,1,3,6,7]=>[7,5,1,4,8,6,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,5,6,1,8,4,2,7]=>[6,4,3,8,1,5,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,6,8,7,4,2,5]=>[8,6,3,1,2,5,7,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,8,5,7,3,4,6]=>[8,7,1,4,2,6,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,5,8,3,4,7]=>[7,3,8,4,1,6,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,1,6,8,4,3,2]=>[4,2,8,3,1,5,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,8,1,2,5,7,3,6]=>[5,1,8,7,4,2,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,4,6,2,5,7,3,1]=>[1,5,3,7,4,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,6,4,7,2,5,1]=>[1,6,3,5,2,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,1,4,7,2,5,6]=>[6,1,8,5,2,7,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,8,4,6,2,5,3]=>[8,2,1,5,3,7,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,8,5,1,6,2]=>[6,2,5,1,4,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,1,6,5,4,8,2]=>[6,2,8,3,4,5,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,3,1,5,8,4,6]=>[7,2,6,8,4,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,4,6,8,1,3,5]=>[7,2,5,3,1,8,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,5,8,6,4,1,3]=>[7,2,4,1,3,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,6,7,5,4,3,1]=>[1,7,3,2,4,5,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,8,7,1,6,4,5,2]=>[6,1,2,8,3,5,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,8,2,7,4,1,5]=>[6,3,1,7,2,5,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,8,7,4,6,3]=>[8,4,7,1,2,5,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,2,7,8,1,6,5]=>[6,5,7,2,1,8,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,8,1,7,4,2,5]=>[3,6,1,8,2,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,5,8,7,1,4,2,3]=>[3,4,1,2,8,5,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,7,3,8,5,2,6]=>[5,8,2,6,1,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,7,4,5,3,8,2]=>[8,3,2,5,4,6,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,7,3,5,4,8,2]=>[3,8,2,6,4,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,8,7,2,4,1,3]=>[4,3,1,2,7,5,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,5,7,1,2,4,3]=>[3,1,4,2,8,7,5,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,4,1,7,5,6,3]=>[7,1,5,8,2,4,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,1,5,7,3,4]=>[3,1,7,8,4,2,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,8,4,1,6,3,5]=>[2,7,1,5,8,3,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,4,8,6,5,3,7]=>[8,7,5,1,3,4,6,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [7,1,5,6,8,4,3,2]=>[2,8,4,3,1,5,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,7,8,1,4,6,3,5]=>[7,2,1,8,5,3,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,2,5,7,1,6,3]=>[5,1,7,4,2,8,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,8,5,3,7,2]=>[5,8,3,1,4,6,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,1,3,4,5,8,2]=>[3,2,8,6,5,4,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,7,3,2,4,8,5,6]=>[8,2,6,7,5,1,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,6,5,2,8,4,7]=>[8,6,3,4,7,1,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,6,5,3,4,8,2]=>[2,8,3,4,6,5,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,4,2,8,7,5,1]=>[3,6,5,7,1,2,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,3,8,7,5,2,6,1]=>[5,6,1,2,4,7,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,8,7,4,2,3,5,1]=>[3,1,2,5,7,6,4,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,6,4,5,2,8,7,1]=>[6,3,5,4,7,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,8,6,1,2,4,7]=>[4,6,1,3,8,7,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,5,6,3,4,8,7,1]=>[7,4,3,6,5,1,2,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,3,6,8,7,4,1]=>[7,4,6,3,1,2,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,8,7,3,5,2,6,1]=>[5,1,2,6,4,7,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,2,6,4,5,1]=>[6,1,2,7,3,5,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,4,8,7,2,1]=>[3,6,4,5,1,2,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,3,8,6,1,5,2,7]=>[5,6,1,3,8,4,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,6,2,5,3,8,1]=>[5,2,3,7,4,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,3,6,2,4,7]=>[8,1,4,6,3,7,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,7,2,4,3,8,6]=>[4,8,2,7,5,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,3,4,8,6,2,7]=>[8,4,6,5,1,3,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,6,3,4,2,7]=>[4,8,1,3,6,5,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,2,8,3,7,6,1]=>[5,4,7,1,6,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,3,7,6,4,5,1]=>[1,7,6,2,3,5,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,2,4,7,6,3,1]=>[4,1,7,5,2,3,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,8,2,5,3,4,7,1]=>[3,1,7,4,6,5,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,6,4,8,1,3]=>[2,7,4,3,5,1,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,7,4,8,2,3,5]=>[8,3,2,5,1,7,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,5,8,2,6,4]=>[2,8,6,4,1,7,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,8,2,6,7,5]=>[5,8,6,1,7,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,3,6,7,5,4,1]=>[7,1,6,3,2,4,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,7,2,8,5,4,6]=>[6,8,2,7,1,4,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,1,4,7,2,8,5]=>[6,3,8,5,2,7,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,8,4,7,2,3,6]=>[8,4,1,5,2,7,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,6,2,8,4,5]=>[2,8,6,3,7,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,4,5,8,1,3]=>[3,7,2,5,4,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,1,8,4,5,7,3,6]=>[7,8,1,5,4,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,5,7,3,2,4,6]=>[8,1,4,2,6,7,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,8,5,4,3,6,7]=>[7,8,1,4,5,6,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,7,4,1,5,3,8,6]=>[7,2,5,8,4,6,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,8,6,2,3,1,5]=>[2,5,1,3,7,6,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,1,4,6,3,8,5]=>[7,2,8,5,3,6,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,6,8,1,3,2]=>[5,2,4,3,1,8,6,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,2,8,5,4,6]=>[2,8,6,7,1,4,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,5,4,1,3,6,7]=>[7,1,4,5,8,6,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,1,7,4,2,3,8,6]=>[4,8,2,5,7,6,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,6,5,1,4,2,7]=>[6,1,3,4,8,5,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,3,4,8,6,5,2,7]=>[8,6,5,1,3,4,7,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,1,8,6,5,3,2,7]=>[5,8,1,3,4,6,7,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,8,5,2,7,3,6,1]=>[5,1,4,7,2,6,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,5,3,6,4,1]=>[2,7,1,4,6,3,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,8,4,3,7,6,1]=>[4,7,1,5,6,2,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,4,7,5,2,3,6,1]=>[1,5,2,4,7,6,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,7,4,3,6,2,8,1]=>[4,2,5,6,3,7,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,5,1,2,8,3,4]=>[3,2,4,8,7,1,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,6,8,3,4,7,1]=>[4,7,3,1,6,5,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,8,4,7,2,5,1]=>[6,3,1,5,2,7,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,8,4,7,5,1]=>[7,3,6,1,5,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,6,5,8,4,1]=>[2,7,6,3,4,1,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,7,5,8,3,1,4]=>[3,7,2,4,1,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,3,6,4,5,7,1]=>[7,1,6,3,5,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,5,6,8,3,7,4]=>[7,8,4,3,1,6,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,2,6,4,7,3]=>[4,1,8,7,3,5,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,3,2,7,4,5]=>[8,3,1,6,7,2,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,7,2,8,4,1,3]=>[3,4,2,7,1,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,8,3,6,2,7,1]=>[4,5,1,6,3,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,2,7,4,3,6,1]=>[4,1,7,2,5,6,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,5,8,2,7,3,1]=>[3,5,4,1,7,2,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,3,6,4,8,2,1]=>[4,2,6,3,5,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,6,4,8,2,7,3]=>[8,4,3,5,1,7,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,6,4,8,7,2]=>[6,8,4,3,5,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,6,2,5,7,8,4]=>[8,6,3,7,4,2,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,6,3,5,7,8,2]=>[8,5,3,6,4,2,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,1,6,4,7,8,2]=>[6,4,8,3,5,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,1,4,2,7,8,5]=>[6,3,8,5,7,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,6,3,1,7,8,5]=>[7,5,3,6,8,2,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,6,5,2,7,8,4]=>[8,6,3,4,7,2,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,6,4,3,8,5,7]=>[8,7,3,5,6,1,4,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,6,3,5,8,7,4]=>[8,7,3,6,4,1,2,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,5,1,8,4,7,6]=>[7,6,4,8,1,5,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,6,1,8,5,4,7]=>[7,6,3,8,1,4,5,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,4,6,8,3,5]=>[8,7,2,5,3,1,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,7,5,1,8,4,6]=>[7,6,2,4,8,1,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,2,5,3,8,6,1]=>[5,2,7,4,6,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,7,5,4,8,6,2]=>[6,8,2,4,5,1,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,2,7,6,4,8,5,3]=>[8,7,2,3,5,1,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,7,3,6,8,5,4]=>[8,7,2,6,3,1,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,6,1,8,5,7,4]=>[7,6,3,8,1,4,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,4,8,7,6,2]=>[6,8,4,5,1,2,3,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,2,5,8,4,7,3,6]=>[8,7,4,1,5,2,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,8,5,4,7,3]=>[8,7,3,1,4,5,2,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,6,8,5,2,7,4]=>[8,6,3,1,4,7,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,7,4,8,2,1,6]=>[6,4,2,5,1,7,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,7,6,8,3,1,5]=>[7,5,2,3,1,6,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,6,8,3,5,2,7]=>[8,5,3,1,6,4,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,8,5,2,4,7]=>[8,6,3,1,4,7,5,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,6,8,5,4,3,7]=>[8,7,3,1,4,5,6,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,5,8,4,3,7,6]=>[8,7,4,1,5,6,2,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,5,8,2,4,7,6]=>[8,6,4,1,7,5,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,6,8,2,5,4,7]=>[8,6,3,1,7,4,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,6,8,3,2,5,7]=>[8,5,3,1,6,7,4,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,7,4,8,1,2,6]=>[6,4,2,5,1,8,7,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,1,7,5,8,2,3]=>[5,3,8,2,4,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,7,5,8,1,4]=>[7,6,3,2,4,1,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,7,5,6,8,2,4]=>[8,6,2,4,3,1,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,6,5,8,1,7,4]=>[7,6,3,4,1,8,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,2,8,1,7,5]=>[6,5,3,7,1,8,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,4,6,8,2,1,7]=>[6,4,5,3,1,7,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,6,8,1,2,7]=>[6,4,5,3,1,8,7,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,4,7,5,8,3,6]=>[8,7,5,2,4,1,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,7,4,8,3,5]=>[8,7,3,2,5,1,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,4,7,1,8,5,2]=>[6,3,5,2,8,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,6,7,3,8,5,4]=>[8,7,3,2,6,1,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,5,7,3,8,6,4]=>[8,7,4,2,6,1,3,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,1,5,7,6,8,4,2]=>[6,8,4,2,3,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,4,6,8,2,7,1]=>[6,4,5,3,1,7,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,1,8,7,5,3]=>[5,7,3,8,1,2,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,1,6,5,8,7,4,2]=>[6,8,3,4,1,2,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,3,6,5,8,7,1,4]=>[7,6,3,4,1,2,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,4,6,8,5,3]=>[8,7,2,5,3,1,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,7,5,6,8,4,3]=>[8,7,2,4,3,1,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,6,7,5,8,4,2]=>[6,8,3,2,4,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,2,7,5,8,3,1]=>[5,3,7,2,4,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,7,4,8,2,6,1]=>[6,4,2,5,1,7,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,6,8,3,5,1]=>[7,5,2,3,1,6,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,8,3,5,7,2]=>[8,5,3,1,6,4,2,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,6,8,2,5,7,4]=>[8,6,3,1,7,4,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,5,8,2,7,4,6]=>[8,6,4,1,7,2,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,5,8,4,7,6,3]=>[8,7,4,1,5,2,3,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,4,8,7,3,6,5]=>[8,7,5,1,2,6,3,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,5,8,7,4,3,6]=>[8,7,4,1,2,5,6,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,3,5,8,7,2,4,6]=>[8,6,4,1,2,7,5,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,7,1,2,8,6,4,3]=>[4,2,8,7,1,3,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,7,6,8,5,4,2]=>[6,8,2,3,1,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,2,6,8,5,7,4,3]=>[8,7,3,1,4,2,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,5,8,7,4,6,3]=>[8,7,4,1,2,5,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,4,8,7,6,3,5]=>[8,7,5,1,2,3,6,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [6,4,5,7,2,8,1,3]=>[3,5,4,2,7,1,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,7,2,8,1,6]=>[4,6,5,2,7,1,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,4,6,8,1,5]=>[6,7,2,5,3,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,6,2,7,1,4,8]=>[4,6,3,7,2,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,3,4,7,1,5,8]=>[7,3,6,5,2,8,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,3,4,5,8,1,6]=>[7,2,6,5,4,1,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,5,6,8,1,2]=>[6,2,5,4,3,1,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,7,3,6,8,1,4]=>[7,4,2,6,3,1,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,6,2,3,8,1,5]=>[5,2,3,7,6,1,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,5,2,4,8,1,6]=>[2,6,4,7,5,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,3,1,8,4,7,5]=>[3,7,6,8,1,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,2,7,1,4,6]=>[1,6,4,7,2,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,6,2,3,4,5,8]=>[2,8,3,7,6,5,4,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,2,7,3,4,5,6,1]=>[1,7,2,6,5,4,3,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,6,2,3,4,5,7]=>[1,8,3,7,6,5,4,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [8,1,7,3,4,5,6,2]=>[1,8,2,6,5,4,3,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,5,7,2,3,6,4]=>[1,8,4,2,7,6,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,5,8,2,3,6,4]=>[8,2,4,1,7,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,8,2,4,5,6,1]=>[2,6,1,7,5,4,3,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,2,8,3,4,5,6,1]=>[2,7,1,6,5,4,3,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,7,8,3,4,5,6,2]=>[8,2,1,6,5,4,3,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,5,8,3,6,7,2]=>[8,5,4,1,6,3,2,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,7,1,8,3,6,4]=>[7,4,2,8,1,6,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,7,1,8,4,5,3]=>[3,7,2,8,1,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,1,3,8,5,6,2]=>[5,2,8,6,1,4,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,8,4,5,7,3]=>[8,3,7,1,5,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,3,6,8,2,7,5]=>[5,8,6,3,1,7,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,6,8,2,7,1]=>[4,6,5,3,1,7,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,8,7,1,2,5]=>[5,3,6,1,2,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,5,8,7,1,2,3]=>[3,5,4,1,2,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,4,8,7,1,2,6]=>[4,6,5,1,2,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,8,7,1,4,6,5]=>[6,7,1,2,8,5,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,8,7,2,4,6,5]=>[6,8,1,2,7,5,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,7,6,1,2,4,8]=>[4,6,2,3,8,7,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,8,3,7,2,4,5,6]=>[8,1,6,2,7,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,1,7,2,4,5,6]=>[6,1,8,2,7,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,2,3,5,1,4,7]=>[3,1,7,6,4,8,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,8,2,6,1,3,5]=>[5,2,1,7,3,8,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,8,7,1,4,5,3]=>[3,7,1,2,8,5,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,7,1,4,5,6,2]=>[6,1,2,8,5,4,3,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,6,1,3,4,5,7]=>[7,1,3,8,6,5,4,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [2,7,6,1,3,4,5,8]=>[7,2,3,8,6,5,4,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,7,6,2,3,4,5,8]=>[8,2,3,7,6,5,4,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,8,6,2,3,4,5,7]=>[8,1,3,7,6,5,4,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [2,8,7,3,4,5,6,1]=>[7,1,2,6,5,4,3,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,7,2,4,5,6,1]=>[6,1,2,7,5,4,3,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,3,6,2,4,5,1]=>[2,1,6,3,7,5,4,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,8,7,2,3,6,4]=>[8,4,1,2,7,6,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,2,4,7,1,8,5]=>[6,3,7,5,2,8,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,7,2,5,1,8,6]=>[6,5,2,7,4,8,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,4,8,5,3,7]=>[7,8,3,5,1,4,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,8,5,3,2,7,6]=>[5,8,1,4,6,7,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,6,2,5,7,1,4,8]=>[6,3,7,4,2,8,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,8,3,7,5,4,6]=>[8,7,1,6,2,4,5,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,3,2,8,5,4,7]=>[3,8,6,7,1,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,1,2,8,4,3,7]=>[4,3,8,7,1,5,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,8,7,4,2,5]=>[8,3,6,1,2,5,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,8,1,2,6,7,5]=>[5,6,1,8,7,3,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,8,7,1,2,5,4]=>[6,3,1,2,8,7,4,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,2,8,5,4,7,1,3]=>[3,7,1,4,5,2,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,5,7,2,4,8,1,3]=>[3,4,2,7,5,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,1,6,5,8,7,2]=>[6,5,8,3,4,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,1,2,4,8,7,6]=>[6,4,8,7,5,1,2,3]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,5,2,1,4,6,8]=>[6,2,4,7,8,5,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,8,5,2,7,4,1,6]=>[6,1,4,7,2,5,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,8,4,7,3,1,6]=>[4,7,1,5,2,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,7,4,1,3,6,8]=>[4,7,2,5,8,6,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,3,5,1,2,8,7,6]=>[5,6,4,8,7,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,4,6,2,8,7,5]=>[6,8,5,3,7,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,6,5,2,8,7,3]=>[8,5,3,4,7,1,2,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,5,6,1,8,7,2]=>[6,5,4,3,8,1,2,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,5,8,7,2,1,6]=>[6,5,4,1,2,7,8,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,7,2,6,3,5,8]=>[8,5,2,7,3,6,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,4,7,5,2,1,6,3]=>[1,5,2,4,7,8,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,4,7,2,3,6,5]=>[1,8,5,2,7,6,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,5,7,3,4,6,2]=>[8,1,4,2,6,5,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,1,7,4,2,8]=>[3,6,4,8,2,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,4,8,7,3,2,5]=>[3,8,5,1,2,6,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,8,5,7,1,2,3]=>[3,5,1,4,2,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,8,1,6,3,2,7]=>[4,5,1,8,3,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,8,6,3,7,2,5]=>[8,5,1,3,6,2,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,7,6,3,8,1,2]=>[4,5,2,3,6,1,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,3,7,5,8,1,2]=>[5,3,6,2,4,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,3,5,8,6,2,7]=>[5,8,6,4,1,3,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,4,3,8,1,2,6]=>[4,2,5,6,1,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,8,3,7,6,5,2]=>[8,5,1,6,2,3,4,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,8,2,1,6,5,7]=>[5,6,1,7,8,3,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,4,2,7,1,5,6]=>[6,1,5,7,2,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,2,5,7,6,4,8]=>[6,8,7,4,2,3,5,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,7,6,5,4,3]=>[8,1,7,2,3,4,5,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,8,1,6,7,5,4,2]=>[6,1,8,3,2,4,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,7,2,6,8,5,1,4]=>[6,2,7,3,1,4,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,6,5,7,4,2]=>[1,8,6,3,4,2,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,4,3,6,1,5,7]=>[1,7,5,6,3,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,8,5,4,3,6,2]=>[8,2,1,4,5,6,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,8,4,5,3,2,6,7]=>[8,1,5,4,6,7,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,5,4,3,1,6,2]=>[2,1,4,5,6,8,3,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,1,6,3,4,2,5,8]=>[2,8,3,6,5,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,7,1,4,2,5,3]=>[3,1,2,8,5,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,4,2,7,5,8]=>[6,3,8,5,7,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,8,5,7,6,2]=>[6,5,8,1,4,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,5,1,2,8,4,7]=>[6,3,4,8,7,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,5,6,7,2,1,4]=>[6,1,4,3,2,7,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,7,6,2,4,3,5]=>[1,8,2,3,7,5,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,6,1,4,2,3,7]=>[1,4,3,8,5,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,6,4,5,7,2,3,8]=>[8,3,5,4,2,7,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,3,6,1,7,2,4,5]=>[1,6,3,8,2,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,8,6,5,7,3,4,2]=>[8,1,3,4,2,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,3,6,8,4,2]=>[8,2,4,6,3,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,5,8,7,6,3,2]=>[5,8,4,1,2,3,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,2,5,8,6,7,3,4]=>[8,7,4,1,3,2,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,2,4,6,1,7,3,8]=>[4,7,5,3,8,2,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,3,6,8,7,4,2]=>[8,4,6,3,1,2,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,4,6,1,8,2,7]=>[6,4,5,3,8,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,7,6,8,2,4]=>[6,8,4,2,3,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,5,6,8,7,2,3]=>[8,5,4,3,1,2,7,6]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,6,3,7,2,8,5]=>[8,5,3,6,2,7,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,6,5,2,8,4]=>[8,2,6,3,4,7,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,2,6,5,4,1,8]=>[6,2,7,3,4,5,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,5,2,6,3,1,8]=>[5,2,4,7,3,6,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,6,4,7,5,1,8]=>[6,7,3,5,2,4,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,3,7,5,4,1,8]=>[3,7,6,2,4,5,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,4,7,6,2,8,5]=>[8,6,5,2,3,7,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,8,3,6,1,7,5,4]=>[7,1,6,3,8,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,2,6,5,1,7,4]=>[6,1,7,3,4,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,2,5,4,1,6,3]=>[2,1,7,4,5,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,5,2,6,1,7,3]=>[5,1,4,7,3,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,3,7,2,8,6]=>[5,4,8,6,2,7,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,7,5,2,8,4]=>[3,8,6,2,4,7,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,3,6,2,8,5,4]=>[2,8,6,3,7,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,3,6,2,7,5,4]=>[1,8,6,3,7,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,4,7,3,8,6,5]=>[8,7,5,2,6,1,3,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,1,8,2,6,5,4,3]=>[2,8,1,7,3,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,1,8,6,2,7,5,4]=>[6,8,1,3,7,2,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,7,8,2,6,5,3]=>[5,8,2,1,7,3,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,1,8,2,7,4,3]=>[4,3,8,1,7,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,7,8,1,6,5,3]=>[5,7,2,1,8,3,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,8,6,1,7,5,4]=>[6,7,1,3,8,2,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,8,1,6,5,4,3]=>[2,7,1,8,3,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,8,7,2,6,5,4,3]=>[8,1,2,7,3,4,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,7,1,6,5,4,3]=>[7,1,2,8,3,4,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,8,7,1,6,5,4,2]=>[6,1,2,8,3,4,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,7,5,1,6,3,2]=>[5,1,2,4,8,3,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,7,8,5,1,4,3,2]=>[3,2,1,4,8,5,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,3,8,4,1,7,2]=>[4,3,6,1,5,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,4,8,6,5,1,7,2]=>[6,5,1,3,4,8,2,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,3,7,5,1,6,4,2]=>[1,6,2,4,8,3,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,4,8,6,2,7,5,3]=>[8,5,1,3,7,2,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,4,6,7,1,5,3,2]=>[1,5,3,2,8,4,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,4,7,8,1,3,2]=>[4,3,5,2,1,8,6,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,5,1,2,8,7]=>[6,5,3,4,8,7,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,3,5,1,2,8,6,4]=>[2,6,4,8,7,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,4,6,2,3,8,7,5]=>[8,5,3,7,6,1,2,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,7,4,8,6,5]=>[8,6,7,2,5,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,1,7,6,4,8,5]=>[7,6,8,2,3,5,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,2,1,7,3,8,6]=>[5,4,7,8,2,6,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,7,1,2,8,4,3]=>[4,3,2,8,7,1,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,5,1,2,8,6,3]=>[5,2,4,8,7,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,1,6,2,8,5,4]=>[6,2,8,3,7,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,1,3,8,6,5,4]=>[7,2,8,6,1,3,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,7,2,3,8,6,5,4]=>[8,2,7,6,1,3,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,8,1,2,6,5,4,3]=>[2,1,8,7,3,4,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,8,1,6,2,7,5,4]=>[6,1,8,3,7,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,5,1,2,7,6,3]=>[5,1,4,8,7,2,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,8,1,2,7,4,3]=>[4,3,1,8,7,2,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,1,3,7,4,8,6,5]=>[7,8,6,2,5,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,7,3,6,8,1,5]=>[5,7,2,6,3,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,6,4,2,8,1,7]=>[4,6,3,5,7,1,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,5,3,8,2,7,6]=>[5,8,4,6,1,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,4,7,3,1,8]=>[4,7,3,5,2,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,3,4,7,5,1,8]=>[7,3,6,5,2,4,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,5,4,8,1,7]=>[7,3,6,4,5,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,4,3,5,8,1,6]=>[7,2,5,6,4,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,5,3,8,2,7,4]=>[3,8,4,6,1,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,2,7,3,1,6]=>[4,1,5,7,2,6,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,6,4,7,3,1,5]=>[1,7,3,5,2,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,6,2,5,4,3,8]=>[2,8,3,7,4,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,7,3,5,6,4,2]=>[1,8,2,6,4,3,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,3,7,2,6,5,4]=>[1,8,6,2,7,3,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,6,8,3,2,4,5]=>[8,2,3,1,6,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,5,8,4,2,6,3]=>[2,8,4,1,5,7,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,4,5,2,6,1]=>[2,6,1,5,4,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,8,5,3,4,6,1]=>[2,7,1,4,6,5,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,8,4,3,2,5,7]=>[3,8,1,5,6,7,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,1,7,4,2,5,3,8]=>[3,8,2,5,7,4,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,7,3,4,6,5,8]=>[8,7,2,6,5,3,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,8,4,3,5,6,2]=>[8,2,1,5,6,4,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,2,8,3,5,7,4]=>[8,3,7,1,6,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,7,3,5,4,8]=>[7,3,8,2,6,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,8,4,2,6,7]=>[6,8,4,1,5,7,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,4,8,3,2,1,6]=>[4,2,5,1,6,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,8,2,7,3,1,6]=>[4,5,1,7,2,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,8,7,3,4,1,6]=>[4,7,1,2,6,5,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,5,3,2,1,8]=>[3,5,2,4,6,7,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,8,3,7,6,2,4,5]=>[8,1,6,2,3,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,3,2,6,4,1,7]=>[4,1,6,7,3,5,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,2,4,7,5,1,3]=>[3,1,7,5,2,4,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,8,2,6,4,1,5]=>[2,6,1,7,3,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,8,2,7,3,1,5]=>[5,3,1,7,2,6,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,8,6,3,5,1,4]=>[2,7,1,3,6,4,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,1,7,2,5,4,3]=>[3,1,8,2,7,4,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,7,4,5,6,1,2]=>[6,1,2,5,4,3,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,6,4,3,5,1,7]=>[7,1,3,5,6,4,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,3,5,4,1,8]=>[7,2,3,6,4,5,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,6,5,2,4,3,8]=>[8,2,3,4,7,5,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,6,5,3,2,4,7]=>[8,1,3,4,6,7,5,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,8,7,4,6,2,5,1]=>[6,1,2,5,3,7,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,3,7,6,2,4,1]=>[4,1,6,2,3,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,8,6,5,2,3,4]=>[2,8,1,3,4,7,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,4,7,5,3,2,1,6]=>[1,5,2,4,6,7,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,8,3,2,5,4,7,1]=>[3,1,6,7,4,5,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,5,2,3,7,1]=>[3,1,5,4,7,6,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,7,8,4,3,6,2]=>[8,4,2,1,5,6,3,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,3,8,1,5,4,7,2]=>[3,6,1,8,4,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,3,1,7,5,4,8]=>[7,3,6,8,2,4,5,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,7,4,1,3,8]=>[7,3,4,2,5,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,6,8,4,3,7,1]=>[7,4,3,1,5,6,2,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,7,5,8,1,6,3]=>[7,5,2,4,1,8,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,7,1,8,6,3]=>[7,4,5,2,8,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,5,7,6,1,3,2]=>[5,1,4,2,3,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,6,7,5,3,1,2]=>[5,1,3,2,4,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,8,7,5,6,2,3,1]=>[5,1,2,4,3,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,7,2,6,3,1]=>[4,1,5,2,7,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,7,4,8,2,6,3]=>[8,4,2,5,1,7,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,3,2,8,6,4]=>[8,4,2,6,7,1,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,8,3,2,7,6,4,1]=>[4,1,6,7,2,3,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,7,4,2,6,1,8]=>[6,4,2,5,7,3,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,4,5,1,2,7,8]=>[6,3,5,4,8,7,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,5,1,7,6,2,8]=>[5,6,4,8,2,3,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,4,7,1,6,2,8]=>[6,4,5,2,8,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,7,5,6,1,2,8]=>[6,5,2,4,3,8,7,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,5,8,6,7,1,2]=>[6,5,4,1,3,2,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,4,6,1,8,7,2]=>[6,4,5,3,8,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,1,6,8,7,2]=>[5,6,4,8,3,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,7,3,8,4,6,5]=>[7,8,2,6,1,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,2,7,3,6,5]=>[5,8,1,7,2,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,2,8,3,6,5]=>[5,8,2,7,1,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,3,2,8,4,6,5]=>[2,8,6,7,1,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,8,2,4,3,6,5]=>[2,8,1,7,5,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,7,2,5,3,6,4]=>[1,8,2,7,4,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,5,2,8,3,6,4]=>[2,8,4,7,1,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,2,8,3,6,4]=>[4,8,2,7,1,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,2,7,3,6,4]=>[4,8,1,7,2,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,2,4,3,7,6]=>[4,8,1,7,5,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,2,4,3,7,5]=>[1,8,3,7,5,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,8,2,4,3,7,5]=>[3,8,1,7,5,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,8,2,5,3,7,4]=>[3,8,1,7,4,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,2,5,3,7,4]=>[1,8,3,7,4,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,2,7,3,5,4]=>[1,8,3,7,2,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,8,2,7,3,5,4]=>[3,8,1,7,2,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,7,2,8,3,5,4]=>[3,8,2,7,1,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,7,2,5,3,8,4]=>[3,8,2,7,4,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,7,2,4,3,8,5]=>[3,8,2,7,5,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,2,4,3,8,7]=>[4,8,3,7,5,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,5,2,4,3,8,6]=>[2,8,4,7,5,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,2,4,3,8,5]=>[2,8,3,7,5,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,2,5,3,8,4]=>[2,8,3,7,4,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,2,8,3,5,4]=>[2,8,3,7,1,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,8,2,6,3,5,4]=>[2,8,1,7,3,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,2,7,5,4,6,3]=>[8,1,7,2,4,5,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,6,4,7,2,3,5]=>[8,1,3,5,2,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,4,2,6,3,5,7]=>[8,1,5,7,3,6,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,8,1,5,2,3,6]=>[2,5,1,8,4,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,7,2,6,3,5,8]=>[5,8,2,7,3,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,7,4,3,6,2,8]=>[4,8,2,5,6,3,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,5,8,3,2,4,1,6]=>[2,4,1,6,7,5,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,5,4,3,6,2,7]=>[8,1,4,5,6,3,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,5,4,3,7,2,6]=>[8,1,4,5,6,2,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,5,4,7,2,6,3]=>[8,1,4,5,2,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,4,2,6,7,3]=>[8,1,4,5,7,3,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,4,8,2,1,3,5,6]=>[2,5,1,7,8,6,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,1,7,3,2,5,6,8]=>[5,8,2,6,7,4,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,4,8,2,1,3,7,5]=>[3,5,1,7,8,6,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,8,1,5,6,2,4]=>[2,6,1,8,4,3,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,7,2,6,8,4,5]=>[6,8,2,7,3,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,7,4,2,6,8,3]=>[4,8,2,5,7,3,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,6,3,2,5,8,7]=>[5,8,3,6,7,4,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,8,1,7,5,2,4]=>[3,6,1,8,2,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,5,8,3,1,7,4,2]=>[3,4,1,6,8,2,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,4,8,2,1,7,3,6]=>[4,5,1,7,8,2,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,8,6,3,1,4,5]=>[2,7,1,3,6,8,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,2,8,6,1,5,3,4]=>[2,7,1,3,8,4,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,7,8,3,6,4,5]=>[7,8,2,1,6,3,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,2,8,7,4,5]=>[6,8,3,7,1,2,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,8,1,2,5,7,4]=>[3,6,1,8,7,4,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,7,1,2,5,8,4]=>[6,3,2,8,7,4,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,3,1,2,5,6,4]=>[2,1,6,8,7,4,3,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,1,3,2,4,6,5]=>[2,1,8,6,7,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,2,1,3,5,4,6]=>[2,1,7,8,6,4,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,7,1,8,6,4]=>[4,7,6,2,8,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,3,6,1,8,7,4]=>[7,4,6,3,8,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,7,3,1,8,4,5]=>[7,3,2,6,8,1,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,7,1,3,5,4,8]=>[7,3,2,8,6,4,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,8,3,1,7,4,5]=>[3,7,1,6,8,2,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,5,7,1,8,4,6]=>[6,7,4,2,8,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,2,7,3,6,4,8]=>[4,8,7,2,6,3,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,7,8,2,3,6]=>[4,8,5,2,1,7,6,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,7,8,6,1,2]=>[4,6,5,2,1,3,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,6,8,7,1,2]=>[6,4,5,3,1,2,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,4,6,8,2,3,7]=>[8,4,5,3,1,7,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,7,3,2,4,8,5]=>[8,3,2,6,7,5,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,3,6,2,7,8,4]=>[8,4,6,3,7,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,3,7,2,6,8,4]=>[4,8,6,2,7,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,4,7,8,1,6,3]=>[4,7,5,2,1,8,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,7,6,1,8,3]=>[5,7,4,2,3,8,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,2,8,6,1,7,3]=>[5,4,7,1,3,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,8,3,2,4,7,5]=>[3,8,1,6,7,5,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,3,5,7,6,8,1,2]=>[5,6,4,2,3,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,5,7,6,2,3,8]=>[5,8,4,2,3,7,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,1,8,6,2,3,7]=>[5,4,8,1,3,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,8,5,2,1,4,3]=>[2,3,1,4,7,8,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,8,6,3,2,1,5,4]=>[2,1,3,6,7,8,4,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,8,2,4,5,1,3,6]=>[2,1,7,5,4,8,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,2,5,1,3,8]=>[5,3,2,7,4,8,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,1,3,2,4,5,6]=>[2,1,8,6,7,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,4,1,5,2,3,6]=>[2,1,5,8,4,7,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,7,2,1,4,5,8]=>[6,3,2,7,8,5,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,2,3,6,1,4,7,8]=>[4,7,6,3,8,5,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,3,6,1,4,7,8]=>[7,4,6,3,8,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,7,3,1,4,5,8]=>[7,3,2,6,8,5,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,6,7,1,5,2,3,8]=>[5,3,2,8,4,7,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,3,5,8,1,2]=>[5,3,2,6,4,1,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,7,1,5,2,3,8]=>[3,5,2,8,4,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,7,3,1,4,5,8]=>[3,7,2,6,8,5,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,2,5,6,1,4,7,8]=>[6,7,4,3,8,5,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,2,6,1,4,7,8]=>[6,4,7,3,8,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,4,6,7,2,3,8]=>[4,8,5,3,2,7,6,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,4,6,7,8,1,2]=>[6,4,5,3,2,1,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,4,6,7,2,3,8]=>[8,4,5,3,2,7,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,7,3,2,4,5,8]=>[8,3,2,6,7,5,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,3,6,2,4,7,8]=>[4,8,6,3,7,5,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,4,6,7,1,3,8]=>[4,7,5,3,2,8,6,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,6,7,1,3,8]=>[7,4,5,3,2,8,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,7,4,5,1,3,8]=>[7,3,2,5,4,8,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,5,6,7,1,3,8]=>[5,7,4,3,2,8,6,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,2,6,7,1,3,8]=>[5,4,7,3,2,8,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,7,3,2,4,5,8]=>[3,8,2,6,7,5,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,1,7,4,5,2,3,8]=>[3,8,2,5,4,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,7,4,5,8,1,2]=>[3,6,2,5,4,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,5,4,2,1,6,8]=>[2,6,4,5,7,8,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,3,5,2,4,1,6,8]=>[2,6,4,7,5,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,3,6,7,5,2,8,4]=>[8,6,3,2,4,7,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,3,4,1,6,2,5,8]=>[2,6,5,8,3,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,4,1,6,5,2,8]=>[2,6,5,8,3,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,4,1,5,6,2,8]=>[2,6,5,8,4,3,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,4,1,5,2,6,8]=>[2,6,5,8,4,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,3,6,7,2,5,8,4]=>[8,6,3,2,7,4,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,7,4,6,2,8,5,3]=>[8,2,5,3,7,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,1,4,7,3,8,2]=>[4,3,8,5,2,6,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,4,5,8,7,2,6]=>[8,6,5,4,1,2,7,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [6,3,4,5,8,1,7,2]=>[3,6,5,4,1,8,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,1,6,8,7,3]=>[7,5,4,8,3,1,2,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,2,5,6,8,7,4]=>[6,8,7,4,3,1,2,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,5,4,6,8,1,2]=>[6,2,4,5,3,1,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,4,6,5,8,2,7]=>[6,8,5,3,4,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,4,5,8,6,1,7]=>[7,6,5,4,1,3,8,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,4,5,8,1,7,6]=>[7,6,5,4,1,8,2,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,1,4,6,5,8,7,2]=>[6,8,5,3,4,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,5,4,6,8,2,1]=>[6,2,4,5,3,1,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,4,7,2,8,3]=>[4,3,8,5,2,7,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,6,7,8,5,2]=>[6,8,5,3,2,1,4,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,4,5,2,6,8,7,3]=>[8,5,4,7,3,1,2,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,5,2,6,8,1,4]=>[6,2,4,7,3,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,5,2,6,8,4,1]=>[6,2,4,7,3,1,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,2,7,4,8,3]=>[4,3,8,7,2,5,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,2,4,7,8,1]=>[3,6,4,7,5,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,5,2,6,8,4,3]=>[2,8,4,7,3,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,5,2,6,8,3,4]=>[2,8,4,7,3,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,7,4,6,5,8,3,2]=>[8,2,5,3,4,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,4,6,1,8,3,5]=>[7,2,5,3,8,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,4,6,1,8,5,3]=>[7,2,5,3,8,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,6,7,1,5,8,4]=>[7,6,3,2,8,4,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,6,7,5,1,8,4]=>[7,6,3,2,4,8,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,1,5,4,6,8,2,3]=>[2,8,4,5,3,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,4,6,5,8,1,3]=>[7,2,5,3,4,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,4,5,8,6,1,2]=>[2,6,5,4,1,3,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,5,8,1,6,2]=>[2,6,5,4,1,8,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,5,8,1,2,6]=>[2,6,5,4,1,8,7,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,5,8,6,2,7]=>[8,6,5,4,1,3,7,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,4,5,8,2,7,6]=>[8,6,5,4,1,7,2,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [6,3,4,5,8,2,1,7]=>[3,6,5,4,1,7,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,5,8,2,7,1]=>[3,6,5,4,1,7,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,5,8,6,2,1]=>[2,6,5,4,1,3,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,7,4,6,5,8,3,1]=>[7,2,5,3,4,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,5,4,6,8,3,2]=>[2,8,4,5,3,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,4,6,1,8,3,2]=>[4,2,5,3,8,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,4,5,8,1,2,7]=>[3,6,5,4,1,8,7,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,4,5,8,2,1,6]=>[2,6,5,4,1,7,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,5,8,2,6,1]=>[2,6,5,4,1,7,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,6,1,8,2,5,3]=>[5,2,3,8,1,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,1,7,5,2,3]=>[5,1,3,8,2,4,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,2,6,1,5,3]=>[5,2,1,7,3,8,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,7,3,6,5,1,2]=>[1,5,2,6,3,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,6,1,7,5,3,2]=>[1,5,3,8,2,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,4,7,1,8,3,2,5]=>[3,5,2,8,1,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,8,3,6,1,5,2]=>[2,5,1,6,3,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,4,3,6,2,5,1]=>[2,1,5,6,3,7,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,8,6,3,5,4,7]=>[7,8,1,3,6,4,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,7,3,5,8,6,4]=>[7,8,2,6,4,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,7,3,1,5,4,6,8]=>[7,2,6,8,4,5,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,1,4,8,5,7]=>[7,3,6,8,5,1,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,8,6,3,5,7,4]=>[7,8,1,3,6,4,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,1,7,3,6,8,4,5]=>[7,8,2,6,3,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,3,1,5,6,8,4]=>[7,2,6,8,4,3,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,7,5,1,6,8,3]=>[7,5,2,4,8,3,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,3,7,5,6,1,8,2]=>[5,6,2,4,3,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,8,5,1,7,2]=>[5,6,3,1,4,8,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,1,8,3,5,7,4]=>[7,3,8,1,6,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,6,8,3,7,4,5]=>[7,8,3,1,6,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,8,3,5,7,4,6]=>[7,8,1,6,4,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,1,7,3,6,4,5,8]=>[7,8,2,6,3,5,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,4,1,7,5,6,3]=>[1,7,5,8,2,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,4,7,5,1,6,2]=>[6,1,5,2,4,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,1,8,3,5,4,7]=>[7,3,8,1,6,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,3,1,5,6,4,8]=>[7,2,6,8,4,3,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,7,5,1,6,3,8]=>[7,5,2,4,8,3,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,2,4,1,7,5,3,6]=>[1,7,5,8,2,4,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,6,3,1,7,4,2]=>[4,1,3,6,8,2,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,4,7,1,8,5,3,6]=>[7,5,2,8,1,4,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,5,1,6,3,7]=>[7,5,1,4,8,3,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,1,8,3,5,6,4]=>[7,2,8,1,6,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,8,3,6,4,5,7]=>[7,8,1,6,3,5,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,8,3,7,4,5,6]=>[7,8,1,6,2,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,8,3,6,7,4,5]=>[7,8,1,6,3,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,8,5,1,6,7,3]=>[7,5,1,4,8,3,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,8,3,7,2,4,5]=>[8,3,1,6,2,7,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,1,5,7,2,4,6]=>[6,1,8,4,2,7,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,6,8,4,7,3,5]=>[8,7,3,1,5,2,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,1,5,8,2,4,7,3]=>[3,8,4,1,7,5,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,4,8,3,6,7,5]=>[8,7,5,1,6,3,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,1,2,7,8,3,6,5]=>[5,8,7,2,1,6,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,4,8,6,1,2]=>[6,4,2,5,1,3,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,8,4,7,6,1,2]=>[4,6,1,5,2,3,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,1,2,3,7,6,4]=>[4,1,8,7,6,2,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,2,8,4,3,5,7,6]=>[8,7,1,5,6,4,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,5,3,7,6,4,8]=>[8,7,4,6,2,3,5,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,8,7,4,5,3]=>[3,8,7,1,2,5,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,2,8,4,5,3]=>[2,8,3,7,1,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,2,6,3,8,5,4,7]=>[8,7,3,6,1,4,5,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,5,3,6,4,7]=>[8,7,1,4,6,3,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,7,3,8,5,4,6]=>[8,7,2,6,1,4,5,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,2,7,8,6,3,5]=>[5,8,7,2,1,3,6,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,8,4,3,5,7]=>[8,3,7,1,5,6,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,4,2,7,3,5,8]=>[8,3,5,7,2,6,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,6,3,2,4,5,7]=>[8,1,3,6,7,5,4,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,7,3,2,8,4,5,6]=>[8,2,6,7,1,5,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,7,8,6,2,4,5]=>[6,8,2,1,3,7,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,7,2,4,5,6,3]=>[8,1,2,7,5,4,3,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,8,7,3,5,6,2,4]=>[8,1,2,6,4,3,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,8,7,4,5,6]=>[8,6,7,1,2,5,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,3,2,6,4,5,7]=>[8,1,6,7,3,5,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,6,3,2,4,5,8]=>[8,2,3,6,7,5,4,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,2,8,4,3,7,5,6]=>[8,7,1,5,6,2,4,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,8,7,4,6,1,2]=>[4,6,1,2,5,3,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,6,4,7,5,1,2]=>[6,1,3,5,2,4,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,8,2,7,4,5,3]=>[3,8,1,7,2,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,2,5,3,8,6,4,7]=>[8,7,4,6,1,3,5,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,5,3,6,4,8]=>[8,7,2,4,6,3,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,6,3,7,5,4,8]=>[8,7,3,6,2,4,5,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,3,7,5,4,8,6]=>[8,7,6,2,4,5,1,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,7,4,8,6,5,1,2]=>[6,2,5,1,3,4,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,2,7,6,4,5,3]=>[8,1,7,2,3,5,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,7,6,5,1,4,3]=>[7,1,2,3,4,8,5,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,1,6,3,2,5,4,8]=>[2,8,3,6,7,4,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,6,3,1,5,8,4]=>[7,2,3,6,8,4,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,4,3,6,5,2,7]=>[8,1,5,6,3,4,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,4,6,5,3,2,7]=>[8,1,5,3,4,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,6,3,4,5,2,7]=>[8,1,3,6,5,4,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,6,7,4,2,5,3]=>[8,1,3,2,5,7,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,2,1,4,8,5,7]=>[6,3,7,8,5,1,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,7,2,4,6,8,5]=>[6,8,2,7,5,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,4,7,1,5,2,8,6]=>[6,5,2,8,4,7,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,4,1,5,8,2]=>[6,3,2,5,8,4,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,1,2,8,6,5,4,7]=>[6,8,7,1,3,4,5,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,8,6,1,2,3,7]=>[4,5,1,3,8,7,6,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,6,8,7,4,3,1,2]=>[4,3,1,2,5,6,8,7]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,8,2,7,4,3,6,5]=>[8,1,7,2,5,6,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,8,2,3,7,1,4]=>[3,4,1,7,6,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,8,5,3,1,7,2]=>[3,5,1,4,6,8,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,7,8,6,1,3,2,4]=>[4,2,1,3,8,6,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,8,1,6,3,7,5]=>[7,5,1,8,3,6,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,8,6,4,7,5]=>[6,8,7,1,3,5,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,6,3,5,8,2,7]=>[5,8,3,6,4,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,5,3,8,6,1,7]=>[7,5,4,6,1,3,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,3,2,7,6,4]=>[8,1,4,6,7,2,3,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,4,5,2,6,7,3]=>[8,1,5,4,7,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,2,7,6,5,8,3]=>[5,8,7,2,3,4,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,1,6,7,8,5,3]=>[7,5,8,3,2,1,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,8,4,3,6,2,7,5]=>[8,1,5,6,3,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,7,3,2,8,1,4]=>[4,3,2,6,7,1,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,7,3,6,8,4,1]=>[7,4,2,6,3,1,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,7,8,1,2,6,5]=>[6,5,2,1,8,7,3,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,7,8,1,4,5,2]=>[6,3,2,1,8,5,4,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,2,8,1,5,4,7]=>[6,3,7,1,8,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,8,5,1,4,7]=>[7,6,3,1,4,8,5,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,1,6,4,8,2,5,7]=>[6,8,3,5,1,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,5,8,4,6,1,2]=>[2,6,4,1,5,3,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,8,2,1,3,6]=>[2,5,4,1,7,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,5,2,4,6,3,7]=>[8,1,4,7,5,3,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,4,2,3,5,7,6]=>[8,1,5,7,6,4,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,3,4,8,2,5,7,1]=>[3,6,5,1,7,4,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,4,8,5,3,6,1]=>[7,2,5,1,4,6,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,5,4,8,3,6,2]=>[2,8,4,5,1,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,6,3,7,2,5,1]=>[1,5,3,6,2,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,6,3,8,5,1,2]=>[2,5,3,6,1,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,6,8,3,4,1,7]=>[7,4,3,1,6,5,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,4,6,2,7,5,3,1]=>[1,5,3,7,2,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,5,6,7,2,4,3,1]=>[1,4,3,2,7,5,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,6,8,4,3,1,7]=>[7,4,3,1,5,6,8,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,7,8,4,1,3,6]=>[7,4,2,1,5,8,6,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [6,5,7,8,4,1,3,2]=>[3,4,2,1,5,8,6,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,8,2,4,1,3]=>[2,4,3,1,7,5,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,6,2,8,5,1,3]=>[2,5,3,7,1,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,6,8,2,4,1,7]=>[6,4,3,1,7,5,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,6,8,4,2,1,7]=>[6,4,3,1,5,7,8,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,6,7,8,1,4,5,3]=>[7,3,2,1,8,5,4,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,7,8,1,4,2,5]=>[6,3,2,1,8,5,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,7,8,2,1,4,6]=>[6,4,2,1,7,8,5,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,6,7,8,1,4,3,5]=>[7,3,2,1,8,5,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,5,7,8,3,1,4,2]=>[3,4,2,1,6,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,7,8,3,1,4,6]=>[7,4,2,1,6,8,5,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,7,3,8,1,5,6]=>[7,5,2,6,1,8,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,7,3,8,1,5,2]=>[3,5,2,6,1,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,7,3,8,1,2,5]=>[3,5,2,6,1,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,3,8,2,1,5]=>[2,5,3,6,1,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,5,2,3,8,1,7]=>[3,5,4,7,6,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,5,3,2,8,1,7]=>[3,5,4,6,7,1,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,6,3,8,2,1,7]=>[4,5,3,6,1,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,7,3,8,1,6,2]=>[4,5,2,6,1,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,7,8,3,1,6,4]=>[7,4,2,1,6,8,3,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,7,8,3,1,2,6]=>[5,4,2,1,6,8,7,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,6,8,2,3,1,7]=>[5,4,3,1,7,6,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,4,6,2,8,3,1,7]=>[4,5,3,7,1,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,7,2,8,1,3,6]=>[4,5,2,7,1,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,5,7,8,2,1,3,6]=>[5,4,2,1,7,8,6,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,6,7,8,1,3,2,5]=>[5,3,2,1,8,6,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,8,1,3,5,2]=>[5,3,2,1,8,6,4,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,7,8,1,3,5,4]=>[7,3,2,1,8,6,4,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,7,8,1,5,3,4]=>[7,3,2,1,8,4,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,8,1,5,2,3]=>[5,3,2,1,8,4,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,8,1,2,5,3]=>[5,3,2,1,8,7,4,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,7,8,2,1,6,3]=>[5,4,2,1,7,8,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,4,7,2,8,1,6,3]=>[4,5,2,7,1,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,7,8,2,1,6,4]=>[6,4,2,1,7,8,3,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,7,8,1,2,5,4]=>[6,3,2,1,8,7,4,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,7,8,1,5,2,4]=>[6,3,2,1,8,4,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,8,1,5,4,2]=>[6,3,2,1,8,4,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,7,8,1,5,4,3]=>[7,3,2,1,8,4,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,2,7,1,5,3,8,6]=>[5,7,2,8,4,6,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,8,6,1,5,3,7]=>[5,7,1,3,8,4,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,6,7,5,1,4,8]=>[6,7,3,2,4,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,1,3,5,4,8,6]=>[7,2,8,6,4,5,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,1,5,8,6,3]=>[5,2,7,8,4,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,6,4,7,1,5,8]=>[7,6,3,5,2,8,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,4,8,2,7,5,6]=>[8,6,5,1,7,2,4,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,1,4,8,2,6,7,5]=>[6,8,5,1,7,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,6,2,1,5,7,3]=>[5,1,3,7,8,4,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,8,3,6,5,1,7,2]=>[5,1,6,3,4,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,3,5,1,8,2]=>[3,5,2,6,4,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,7,5,1,8,2,3]=>[3,5,2,4,8,1,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,1,7,5,8,2,4]=>[6,3,8,2,4,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,5,1,6,8,2,4]=>[2,6,4,8,3,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,3,5,6,1,8,2]=>[5,2,6,4,3,8,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,8,5,1,7,2]=>[6,5,3,1,4,8,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,8,2,1,5,7,3]=>[5,3,1,7,8,4,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,8,2,1,3,5,7,4]=>[3,1,7,8,6,4,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,8,2,3,5,7,4,6]=>[8,1,7,6,4,2,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,7,3,6,1,4,5,8]=>[7,2,6,3,8,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,1,3,5,8,4,7]=>[7,3,8,6,4,1,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,7,5,2,6,1,3,8]=>[5,2,4,7,3,8,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,8,1,5,3,7]=>[5,3,7,1,8,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,6,2,7,1,3,8]=>[5,4,3,7,2,8,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,7,4,8,3,5]=>[8,3,7,2,5,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,8,4,1,5,2]=>[3,2,6,1,5,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,8,4,1,5,6,3]=>[7,2,1,5,8,4,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,1,8,5,6,3,4]=>[7,2,8,1,4,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,5,1,6,7,3,4]=>[1,7,4,8,3,2,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,4,5,1,6,7,3]=>[1,7,5,4,8,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,4,5,6,1,7,2]=>[6,1,5,4,3,8,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,3,6,7,1,2]=>[5,4,1,6,3,2,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,8,3,7,6,1,2]=>[5,4,1,6,2,3,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,3,7,1,6,5]=>[5,7,1,6,2,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,3,4,8,1,6,5]=>[2,7,6,5,1,8,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,4,8,1,5,6]=>[2,7,6,5,1,8,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,3,8,5,1,4,6]=>[2,7,6,1,4,8,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,3,8,5,1,6,4]=>[2,7,6,1,4,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,4,8,1,5,7,3]=>[7,3,5,1,8,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,8,4,1,5,6]=>[2,7,6,1,5,8,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,3,5,8,1,4,6]=>[2,7,6,4,1,8,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,2,3,6,1,4,5]=>[2,1,7,6,3,8,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,2,3,6,1,5,4]=>[2,1,7,6,3,8,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,3,7,1,5,8]=>[5,7,3,6,2,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,3,5,8,1,6,4]=>[2,7,6,4,1,8,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,8,4,1,6,5]=>[2,7,6,1,5,8,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,4,8,1,3,7,5]=>[7,3,5,1,8,6,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,4,8,1,7,5,2]=>[6,3,5,1,8,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,4,5,1,8,7,3]=>[7,3,5,4,8,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,6,4,1,2,7,8]=>[6,4,3,5,8,7,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,8,5,4,1,2,6,3]=>[2,1,4,5,8,7,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,5,6,4,1,2,8,7]=>[6,4,3,5,8,7,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,2,3,4,5,1,8,6]=>[2,7,6,5,4,8,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,3,1,5,8,7]=>[7,3,5,6,8,4,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,6,4,3,1,8,5,7]=>[7,3,5,6,8,1,4,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,6,4,3,1,8,7,5]=>[7,3,5,6,8,1,2,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,5,8,4,1,2,7,6]=>[6,4,1,5,8,7,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,8,4,1,2,6,7]=>[6,4,1,5,8,7,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,5,8,4,1,6,2,7]=>[6,4,1,5,8,3,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,8,3,6,1,7,5]=>[5,7,1,6,3,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,8,4,1,6,7,2]=>[6,4,1,5,8,3,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,4,1,7,3,6]=>[7,4,1,5,8,2,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,4,2,1,7,8,5]=>[6,3,5,7,8,2,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,6,4,2,1,7,5,8]=>[6,3,5,7,8,2,4,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,6,4,1,8,7,2]=>[6,4,3,5,8,1,2,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,4,5,1,3,7,8]=>[7,3,5,4,8,6,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,4,5,1,7,2,8]=>[6,3,5,4,8,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,6,4,1,7,8,3]=>[7,4,3,5,8,2,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,8,5,4,1,6,3,2]=>[2,1,4,5,8,3,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,5,6,4,1,7,3,8]=>[7,4,3,5,8,2,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,4,5,1,7,8,2]=>[6,3,5,4,8,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,7,6,2,8,5,3]=>[5,8,2,3,7,1,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,6,2,1,3,5,4]=>[2,1,3,7,8,6,4,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,7,6,1,2,8,4,5]=>[6,2,3,8,7,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,5,3,1,4,8,7]=>[7,3,4,6,8,5,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,6,1,5,3,2,8,7]=>[5,3,8,4,6,7,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,1,4,2,5,8,7]=>[6,3,8,5,7,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,4,5,7,8,1,3]=>[7,3,5,4,2,1,8,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,5,6,8,1,3,4]=>[2,7,4,3,1,8,6,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,3,4,2,8,7,5]=>[3,8,6,5,7,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,5,6,1,8,7,3]=>[7,5,4,3,8,1,2,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,8,3,4,7,5,1,6]=>[7,1,6,5,2,4,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,2,7,4,3,5,1]=>[3,1,7,2,5,6,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,8,5,1,6,3,2]=>[5,2,1,4,8,3,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,6,1,7,3,2,5]=>[5,1,3,8,2,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,1,7,2,4,6]=>[6,1,4,8,2,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,7,1,3,2,4,5]=>[3,1,2,8,6,7,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,8,7,4,6,3]=>[7,4,8,1,2,5,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,1,8,4,5,6,2]=>[6,2,8,1,5,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,8,4,7,5,1]=>[3,7,6,1,5,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,7,4,6,1,2,5]=>[1,6,2,5,3,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,3,8,6,4,5,2]=>[2,8,6,1,3,5,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,5,8,6,7,4,1]=>[7,6,4,1,3,2,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,6,7,2,5,8,3,1]=>[5,3,2,7,4,1,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,4,3,8,5,2,7]=>[3,8,5,6,1,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,6,2,8,1,5,3]=>[5,2,3,7,1,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,1,7,8,3,2]=>[3,5,4,8,2,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,3,1,7,8,6,5]=>[5,7,6,8,2,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,4,2,1,8,6,7,5]=>[6,5,7,8,1,3,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,6,8,1,5,3,4]=>[7,2,3,1,8,4,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,8,3,1,2,7]=>[3,5,4,1,6,8,7,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,3,2,5,6,7,4]=>[1,8,6,7,4,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,8,1,5,2,4,7]=>[6,3,1,8,4,7,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,8,7,4,5,1,6]=>[6,7,1,2,5,4,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,8,5,7,4,2,1]=>[3,6,1,4,2,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,4,6,8,5,1,2,3]=>[2,5,3,1,4,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,4,8,7,5,3,6]=>[7,8,5,1,2,4,6,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,6,8,3,7,5,4]=>[7,8,3,1,6,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,8,2,4,1,5,7]=>[6,3,1,7,5,8,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,8,1,7,5,4,3]=>[3,7,1,8,2,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,6,5,4,8,1,3,7]=>[7,3,4,5,1,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,8,1,5,3,6,7]=>[5,7,1,8,4,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,8,2,6,4,3,7]=>[4,8,1,7,3,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,8,6,2,1,3,5]=>[2,5,1,3,7,8,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,6,2,8,3,7,5,1]=>[5,3,7,1,6,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,8,3,6,4,7]=>[7,8,4,1,6,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,5,3,6,7,1,4]=>[7,1,4,6,3,2,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,5,6,4,1,3,2]=>[2,1,4,3,5,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,4,1,6,3,7,2]=>[4,1,5,8,3,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,1,3,5,7,6,2]=>[5,1,8,6,4,2,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,8,1,4,5,6,2,7]=>[6,1,8,5,4,3,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,6,8,3,5,1,4,2]=>[2,3,1,6,4,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,6,3,5,1,4,2]=>[2,1,3,6,4,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,7,6,1,4,2]=>[4,6,1,2,3,8,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,5,8,4,7,1,3,2]=>[3,4,1,5,2,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,4,2,5,3,1,8]=>[3,2,5,7,4,6,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,8,5,6,1,3,2]=>[2,5,1,4,3,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,7,5,6,3,1,8]=>[5,7,2,4,3,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,7,5,6,2,1,8]=>[6,5,2,4,3,7,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,5,6,2,1,8]=>[5,2,6,4,3,7,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,2,5,6,4,1,8]=>[6,2,7,4,3,5,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,3,5,6,1,4,2]=>[2,1,6,4,3,8,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,5,2,7,4,3]=>[8,3,1,4,7,2,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,8,5,1,7,4,3]=>[3,7,1,4,8,2,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,7,4,8,2,1,5,3]=>[3,2,5,1,7,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,7,8,6,1,5,4]=>[6,7,2,1,3,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,4,1,2,3,7,5]=>[3,1,5,8,7,6,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,8,5,6,3,2,7]=>[5,8,1,4,3,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,8,2,5,6,4,3,7]=>[8,1,7,4,3,5,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,8,5,3,7,4,2]=>[3,8,1,4,6,2,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,1,5,2,7,6,4]=>[6,1,8,4,7,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,2,4,6,7,8,3]=>[8,4,7,5,3,2,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,5,3,6,7,8,2]=>[5,8,4,6,3,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,6,5,3,7,2,4]=>[1,8,3,4,6,2,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,4,6,3,2,8,5]=>[2,8,5,3,6,7,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,4,1,7,8,5]=>[6,7,3,5,8,2,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,5,3,1,6,7,8,2]=>[5,4,6,8,3,2,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,2,1,6,7,8,4]=>[6,4,7,8,3,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,2,3,1,6,7,8,4]=>[4,7,6,8,3,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,5,3,2,6,7,8,4]=>[8,4,6,7,3,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,4,6,5,1,7,2,3]=>[1,5,3,4,8,2,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,5,6,1,7,8,4]=>[6,7,4,3,8,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,8,7,6,1,4,5]=>[6,7,1,2,3,8,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,4,7,2,1,3,5]=>[3,1,5,2,7,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,7,5,6,1,2,4]=>[6,1,2,4,3,8,7,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,7,5,6,1,3,4]=>[1,7,2,4,3,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,6,5,1,7,3,2]=>[5,1,3,4,8,2,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,7,4,6,2,3,8,5]=>[8,2,5,3,7,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,4,6,1,3,8,2]=>[4,2,5,3,8,6,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,4,3,7,1,8,6]=>[4,7,5,6,2,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,4,2,7,1,8,6]=>[6,4,5,7,2,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,1,5,3,8,2]=>[3,2,5,8,4,6,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,2,3,6,8,5]=>[8,2,5,7,6,3,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,8,2,5,3,7,6,4]=>[8,1,7,4,6,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,1,5,4,7,3,2]=>[3,1,8,4,5,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,1,5,6,4,2,7]=>[6,1,8,4,3,5,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,4,1,2,5,3,7]=>[3,1,5,8,7,4,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,8,1,6,5,4,7]=>[6,7,1,8,3,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,6,1,5,7,8,4]=>[6,7,3,8,4,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,1,4,6,7,8,2]=>[6,4,8,5,3,2,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,2,5,1,4,7,8,6]=>[6,7,4,8,5,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,4,3,5,2,8,6]=>[2,8,5,6,4,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,3,5,4,7,2,6]=>[1,8,6,4,5,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,4,6,7,8,2]=>[4,8,6,5,3,2,1,7]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,1,8,2,5,7,4,6]=>[6,8,1,7,4,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,1,6,4,3,7,5]=>[7,1,8,3,5,6,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,1,3,8,7,5,4]=>[7,3,8,6,1,2,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,5,7,1,3,8,6,4]=>[7,4,2,8,6,1,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,8,1,5,7,4,3]=>[7,3,1,8,4,2,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,5,8,4,6,3]=>[7,2,8,4,1,5,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,6,4,8,3,5]=>[7,2,8,3,5,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,6,5,3,8,4]=>[7,2,8,3,4,6,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,7,6,5,4,3]=>[7,1,8,2,3,4,5,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,1,7,2,8,6,5,3]=>[5,8,2,7,1,3,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,7,1,8,6,5,4,2]=>[6,2,8,1,3,4,5,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,7,6,1,4,2,5,8]=>[6,2,3,8,5,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,5,1,4,6,8,2]=>[6,2,4,8,5,3,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,8,5,1,4,7,2]=>[6,3,1,4,8,5,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,3,5,8,2,1,4,6]=>[2,6,4,1,7,8,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,6,2,1,4,5,8]=>[2,6,3,7,8,5,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,3,6,2,1,5,4,8]=>[2,6,3,7,8,4,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,6,2,1,8,3,5]=>[2,5,3,7,8,1,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,4,5,2,1,7,3]=>[3,1,5,4,7,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,8,5,1,7,3,2]=>[5,3,1,4,8,2,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,5,1,3,8,6,2]=>[5,2,4,8,6,1,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,7,6,3,8,2,4]=>[4,8,2,3,6,1,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,7,6,4,2,8,3]=>[4,8,2,3,5,7,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,1,8,7,6,4,3,2]=>[4,8,1,2,3,5,6,7]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [5,1,8,6,3,2,7,4]=>[4,8,1,3,6,7,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,6,1,7,4,8,2,5]=>[6,3,8,2,5,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,6,3,7,2,5]=>[5,8,1,3,6,2,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,4,6,8,5,7,1,2]=>[6,5,3,1,4,2,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,4,8,2,7,3,6,1]=>[4,5,1,7,2,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,7,3,6,1,2]=>[4,5,1,2,6,3,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,7,2,4,8,1,5]=>[3,6,2,7,5,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,8,4,2,7,3,1]=>[4,3,1,5,7,2,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,4,2,8,1,3,6]=>[4,2,5,7,1,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,7,3,1,8,2,5]=>[3,5,2,6,8,1,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,4,3,8,6,1,2]=>[4,2,5,6,1,3,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,8,4,6,3,2,1]=>[2,4,1,5,3,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,6,3,7,4,2,1,8]=>[4,3,6,2,5,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,8,1,3,2,5,7]=>[3,5,1,8,6,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,2,7,6,5,3,1,8]=>[5,7,2,3,4,6,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,7,2,4,6,5,1,8]=>[6,2,7,5,3,4,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,3,4,5,2,6,7]=>[1,8,6,5,4,7,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,8,4,2,5,3,7]=>[8,3,1,5,7,4,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,2,8,4,1,5,7,3]=>[3,7,1,5,8,4,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,4,8,5,1,2,3]=>[3,2,5,1,4,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,7,8,5,1,6,4]=>[6,7,2,1,4,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,8,1,5,4,6,7]=>[6,7,1,8,4,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,4,8,5,3,7,2]=>[3,8,5,1,4,6,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,8,5,2,6,7,3]=>[8,5,1,4,7,3,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,1,8,4,3,7,2,5]=>[3,8,1,5,6,2,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,1,4,2,5,8,6]=>[6,2,8,5,7,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,5,3,6,8,2,7]=>[5,8,4,6,3,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,8,5,3,2,7,4]=>[3,8,1,4,6,7,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,4,6,3,8,5,2]=>[2,8,5,3,6,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,4,1,8,7,5]=>[6,7,3,5,8,1,2,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,5,2,1,8,7,6,4]=>[6,4,7,8,1,2,3,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,5,3,2,8,6,4,7]=>[8,4,6,7,1,3,5,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,7,6,5,1,3,4]=>[1,7,2,3,4,8,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,7,3,6,2,8,5,4]=>[8,2,6,3,7,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,3,4,7,1,8,6]=>[4,7,6,5,2,8,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,1,5,4,2,8]=>[3,2,6,8,4,5,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,3,1,2,4,7,6]=>[4,1,6,8,7,5,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,1,3,2,4,5,6,7]=>[1,8,6,7,5,4,3,2]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,8,1,5,6,4,7,2]=>[6,1,8,4,3,5,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,1,2,5,7,3]=>[3,1,5,8,7,4,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,8,1,6,5,7,4]=>[6,7,1,8,3,4,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,1,4,6,7,2,8]=>[6,4,8,5,3,2,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,5,8,2,1,3,7,6]=>[5,4,1,7,8,6,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,8,2,3,1,4,6,7]=>[4,1,7,6,8,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,5,1,4,6,8,7]=>[6,7,4,8,5,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,4,3,5,6,7,2]=>[1,8,5,6,4,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,3,5,4,6,2,8]=>[2,8,6,4,5,3,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,4,6,2,7,8]=>[4,8,6,5,3,7,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,2,5,7,6,8]=>[5,8,6,7,4,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,2,4,5,1,3,7]=>[3,1,7,5,4,8,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,7,2,5,1,4,8]=>[6,3,2,7,4,8,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,3,1,5,2,8]=>[5,3,2,6,8,4,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,8,1,2,4,7,3,6]=>[4,1,8,7,5,2,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,8,1,3,5,2,7,4]=>[3,1,8,6,4,7,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,3,1,4,5,7,2]=>[3,1,6,8,5,4,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,8,2,3,4,7,5]=>[3,8,1,7,6,5,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,8,4,6,3,7,2]=>[4,8,1,5,3,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,3,5,7,2,6]=>[5,8,1,6,4,2,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,7,3,2,6,8,1]=>[5,4,2,6,7,3,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,7,2,3,6,8,1]=>[5,4,2,7,6,3,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,3,4,7,5,8,1]=>[7,3,6,5,2,4,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,2,7,5,8,1]=>[6,3,5,7,2,4,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,7,1,6,8,3]=>[5,4,7,2,8,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,1,6,5,8,2,7]=>[6,5,8,3,4,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,8,5,7,3,6]=>[5,8,7,1,4,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,8,6,2,7,3]=>[4,8,5,1,3,7,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,3,1,7,4,2,8]=>[4,3,6,8,2,5,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,1,8,5,2,6]=>[2,6,5,8,1,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,4,8,1,5,3,6]=>[2,7,5,1,8,4,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,3,8,5,2,4,6]=>[2,8,6,1,4,7,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,3,7,8,2,4,6]=>[8,4,6,2,1,7,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,6,7,1,8,4,5]=>[6,7,3,2,8,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,1,7,8,5,2]=>[5,3,6,8,2,1,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,6,2,7,8,5,3]=>[5,8,3,7,2,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,3,4,8,7,5,6]=>[7,8,6,5,1,2,4,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,3,7,6,5,1,2]=>[5,1,6,2,3,4,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,8,7,5,4,1,2]=>[3,6,1,2,4,5,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,3,8,7,6,4,1,2]=>[4,6,1,2,3,5,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,8,7,6,1,5,4,3]=>[7,1,2,3,8,4,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,2,8,7,6,1,4,3]=>[4,7,1,2,3,8,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,8,2,6,5,1,4,3]=>[2,1,7,3,4,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,8,7,5,4,3,2]=>[3,8,1,2,4,5,6,7]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [3,1,8,7,6,5,4,2]=>[6,8,1,2,3,4,5,7]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [7,8,2,6,1,5,4,3]=>[2,1,7,3,8,4,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,8,7,1,5,4,3]=>[3,7,1,2,8,4,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,8,2,7,6,1,5,3]=>[5,1,7,2,3,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,7,2,1,6,5,4]=>[6,1,2,7,8,3,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,8,7,1,4,3,2]=>[3,4,1,2,8,5,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,1,7,6,5,3,2]=>[5,1,8,2,3,4,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,4,8,1,7,5,3,2]=>[3,5,1,8,2,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,8,4,1,6,5,3,2]=>[2,1,5,8,3,4,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,8,3,1,6,5,4,2]=>[2,1,6,8,3,4,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,3,8,1,7,5,4,2]=>[3,6,1,8,2,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,8,2,1,6,5,4,3]=>[2,1,7,8,3,4,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,1,4,2,3,5,8,7]=>[3,8,5,7,6,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,8,1,4,2,3,5,7]=>[3,1,8,5,7,6,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,1,4,2,3,6,5,7]=>[1,8,5,7,6,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,8,2,3,6,5,7]=>[5,8,1,7,6,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,3,6,1,4,5,7]=>[1,7,6,3,8,5,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,3,8,1,4,5,7]=>[3,7,6,1,8,5,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,2,3,8,1,5,7]=>[5,3,7,6,1,8,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,8,2,3,6,1,5,7]=>[5,1,7,6,3,8,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,2,3,6,4,1,5,7]=>[1,7,6,3,5,8,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,3,8,4,1,5,7]=>[3,7,6,1,5,8,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,4,3,8,1,5,7]=>[7,3,5,6,1,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,4,3,6,1,5,7]=>[7,1,5,6,3,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,8,4,1,5,7]=>[7,3,6,1,5,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,8,4,2,1,5,7]=>[3,6,1,5,7,8,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,6,3,8,1,4,5,7]=>[7,3,6,1,8,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,8,3,6,1,4,5,7]=>[7,1,6,3,8,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,3,6,4,2,1,5,7]=>[1,6,3,5,7,8,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,8,3,6,4,1,5,7]=>[7,1,6,3,5,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,6,2,4,1,5,7]=>[1,6,3,7,5,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,6,2,1,4,5,7]=>[1,6,3,7,8,5,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,3,8,2,4,1,5,7]=>[3,6,1,7,5,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,4,3,8,1,5,7]=>[3,7,5,6,1,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,4,7,8,5,1,2]=>[6,3,5,2,1,4,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,2,7,5,8,3]=>[8,3,5,7,2,4,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,2,7,1,5,8]=>[6,3,5,7,2,8,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,7,2,5,6,8,3]=>[8,5,2,7,4,3,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,4,8,5,3,7,1,2]=>[3,5,1,4,6,2,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,5,4,2,7,8,3]=>[8,3,4,5,7,2,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,2,5,3,6,1,7,8]=>[5,7,4,6,3,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,5,3,6,2,8,4]=>[2,8,4,6,3,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,5,2,4,8,7,3]=>[8,3,4,7,5,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,6,2,8,5,7,3]=>[8,5,3,7,1,4,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,4,2,5,6,3]=>[2,1,8,5,7,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,8,5,2,1,6,7]=>[6,5,1,4,7,8,3,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,8,5,3,1,6,2,7]=>[5,1,4,6,8,3,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,1,3,5,8,2,7,4]=>[3,8,6,4,1,7,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,7,4,2,3,5]=>[3,8,1,2,5,7,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,2,8,5,7,3,6,4]=>[8,7,1,4,2,6,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,8,7,5,2,4]=>[8,6,3,1,2,4,7,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,8,2,5,4,7,6,3]=>[8,1,7,4,5,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,2,4,5,8,6,3]=>[2,8,7,5,4,1,3,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,2,7,3,5,8,6,4]=>[8,7,2,6,4,1,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,3,2,5,7,8,4]=>[3,8,6,7,4,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,2,1,7,5,3,8]=>[5,3,7,8,2,4,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,7,8,5,2,4]=>[8,3,6,2,1,4,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,3,7,8,1,5]=>[5,3,7,6,2,1,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,6,3,7,1,2,8,5]=>[5,3,6,2,8,7,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,2,5,4,1,7,6]=>[6,1,7,4,5,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,4,2,6,3,1,5]=>[2,1,5,7,3,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,3,8,7,1,5]=>[5,7,3,6,1,2,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,2,7,4,3,1,6]=>[4,1,7,2,5,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,8,5,1,7,2,6]=>[5,6,1,4,8,2,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,6,8,1,2,7,5]=>[5,6,3,1,8,7,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,4,8,6,2,3,7,1]=>[4,5,1,3,7,6,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,6,1,3,5,4,8]=>[7,2,3,8,6,4,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,6,1,3,5,4,7]=>[7,1,3,8,6,4,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,6,5,8,7,2]=>[5,8,6,3,4,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,3,5,8,7,4]=>[7,8,3,6,4,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,4,1,3,8,5,7,6]=>[7,5,8,6,1,4,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,3,5,8,7,6]=>[7,5,8,6,4,1,2,3]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,3,5,8,7,4]=>[7,3,8,6,4,1,2,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,3,5,8,7,2]=>[5,3,8,6,4,1,2,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,4,3,5,8,7,2]=>[3,8,5,6,4,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,4,3,8,5,7,2]=>[3,8,5,6,1,4,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,4,3,8,5,7,2]=>[8,3,5,6,1,4,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,4,3,6,5,7,2]=>[1,8,5,6,3,4,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,1,3,5,7,6]=>[1,7,5,8,6,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,2,6,1,3,5,7,4]=>[1,7,3,8,6,4,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,4,6,1,3,5,7,2]=>[1,5,3,8,6,4,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,4,6,3,5,7,2]=>[1,8,5,3,6,4,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,4,6,3,5,7,2]=>[8,1,5,3,6,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,8,3,5,7,2]=>[8,3,5,1,6,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,8,1,3,5,7,2]=>[3,5,1,8,6,4,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,2,8,1,3,5,7,4]=>[3,7,1,8,6,4,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,8,1,3,5,7,6]=>[5,7,1,8,6,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,8,1,3,5,7,4]=>[7,3,1,8,6,4,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,8,1,3,5,7,2]=>[5,3,1,8,6,4,2,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,1,8,3,5,7,2]=>[5,3,8,1,6,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,8,3,5,7,2]=>[5,8,3,1,6,4,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,6,3,8,5,7,2]=>[8,5,3,6,1,4,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,3,8,5,7,2]=>[5,3,8,6,1,4,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,8,3,5,7,6]=>[7,5,8,1,6,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,6,8,3,5,7,4]=>[7,8,3,1,6,4,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,3,6,8,5,7,2]=>[5,8,6,3,1,4,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,6,8,5,7,2]=>[8,5,6,3,1,4,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,8,6,5,7,2]=>[5,8,6,1,3,4,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,8,3,6,5,7,4]=>[7,8,1,6,3,4,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,4,3,5,7,8]=>[7,8,3,5,6,4,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,6,1,4,3,5,7,8]=>[7,3,8,5,6,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,8,1,4,3,5,7,6]=>[7,1,8,5,6,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,1,6,3,5,7,4]=>[7,1,8,3,6,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,1,3,6,5,7,2]=>[5,1,8,6,3,4,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,8,3,6,5,7,2]=>[8,5,1,6,3,4,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,8,6,3,5,7,2]=>[8,5,1,3,6,4,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,8,1,6,3,5,7,2]=>[5,1,8,3,6,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,6,1,3,5,7,2]=>[5,1,3,8,6,4,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,6,1,3,5,7,4]=>[7,1,3,8,6,4,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,4,1,3,5,7,6]=>[7,1,5,8,6,4,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,4,1,3,5,7,8]=>[7,3,5,8,6,4,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,6,2,1,3,5,7,8]=>[5,3,7,8,6,4,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,8,1,4,3,5,7,2]=>[3,1,8,5,6,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,8,4,3,5,7,2]=>[3,8,1,5,6,4,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,6,8,4,3,5,7,2]=>[8,3,1,5,6,4,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,8,6,4,3,5,7,2]=>[8,1,3,5,6,4,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,1,6,4,3,5,7,2]=>[1,8,3,5,6,4,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,6,5,2,1,4,3]=>[2,1,3,4,7,8,5,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,7,4,1,8,6,3,2]=>[4,2,5,8,1,3,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,4,2,8,3,7,1]=>[4,3,5,7,1,6,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,2,7,3,1,8]=>[4,3,5,7,2,6,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,4,6,3,2,8]=>[4,2,8,5,3,6,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,1,4,6,3,7,2]=>[4,1,8,5,3,6,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,4,5,8,2,1]=>[6,3,2,5,4,1,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,7,4,6,8,2,1]=>[6,4,2,5,3,1,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,4,1,7,2,5,3]=>[3,1,5,8,2,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,6,1,7,8,3,2]=>[4,5,3,8,2,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,4,1,8,7,3,2]=>[4,3,5,8,1,2,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,8,4,6,7,2,1]=>[6,4,1,5,3,2,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,8,4,5,7,2,1]=>[6,3,1,5,4,2,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,8,4,5,6,2,1]=>[6,2,1,5,4,3,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,1,4,5,3,7,2]=>[3,1,8,5,4,6,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,4,5,3,2,8]=>[3,2,8,5,4,6,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,1,5,4,6,2,8]=>[6,2,8,4,5,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,1,5,4,6,8,2]=>[6,2,8,4,5,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,1,4,5,3,8,2]=>[3,2,8,5,4,6,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,4,6,3,8,2]=>[4,2,8,5,3,6,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,2,7,3,8,1]=>[4,3,5,7,2,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,2,8,3,1,6]=>[4,5,2,7,1,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,7,2,8,3,6,1]=>[4,5,2,7,1,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,4,2,8,3,1,7]=>[4,3,5,7,1,6,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,1,4,6,3,2,7]=>[4,1,8,5,3,6,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,1,5,4,6,2,7]=>[6,1,8,4,5,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,1,5,4,8,2,7]=>[6,3,8,4,5,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,1,4,2,5,7]=>[3,1,6,8,5,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,8,1,4,2,5,6]=>[2,6,1,8,5,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,3,1,4,2,8,5]=>[3,2,6,8,5,7,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,5,4,7,8,2]=>[6,3,8,4,5,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,1,2,7,6,5,8]=>[6,5,8,7,2,3,4,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,2,6,8,7,5]=>[6,5,8,7,3,1,2,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,8,3,1,4,7,2,5]=>[3,1,6,8,5,2,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,7,2,8,5,1,3]=>[3,5,2,7,1,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,1,4,7,3,2,6]=>[4,1,8,5,2,6,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,4,5,3,2,6]=>[2,1,8,5,4,6,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,1,5,4,7,2,6]=>[6,1,8,4,5,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,1,5,4,8,7,2]=>[6,3,8,4,5,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,1,5,4,7,2,8]=>[6,3,8,4,5,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,1,4,2,5,8]=>[3,2,6,8,5,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,1,4,2,7,5]=>[3,1,6,8,5,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,3,1,4,6,2,5]=>[2,1,6,8,5,3,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,2,6,5,1,3]=>[2,1,5,7,3,4,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,8,7,3,4,2,1]=>[3,4,1,2,6,5,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,3,1,4,6,5,2]=>[2,1,6,8,5,3,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,3,1,4,5,2,8]=>[3,2,6,8,5,4,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,5,4,2,6,8]=>[6,2,8,4,5,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,1,5,4,2,7,6]=>[6,1,8,4,5,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,1,4,7,3,6,2]=>[4,1,8,5,2,6,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,2,7,5,3,1]=>[3,1,5,7,2,4,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,4,7,2,8,5,3,1]=>[3,5,2,7,1,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,3,7,1,4,8,5,2]=>[3,6,2,8,5,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,3,1,4,7,5,2]=>[3,1,6,8,5,2,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,1,5,4,8,6,2]=>[6,2,8,4,5,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,1,2,8,5,7,6]=>[6,5,8,7,1,4,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,2,5,8,7,6]=>[6,5,8,7,4,1,2,3]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,1,5,4,2,8,6]=>[6,2,8,4,5,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,3,1,4,5,8,2]=>[3,2,6,8,5,4,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,8,1,4,5,2,6]=>[2,6,1,8,5,4,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,8,1,4,5,6,2]=>[2,6,1,8,5,4,3,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,8,3,1,4,5,2,7]=>[3,1,6,8,5,4,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,1,5,4,2,6,7]=>[6,1,8,4,5,7,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,7,4,3,2,1,6]=>[1,4,2,5,6,7,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,5,8,4,3,2,1,7]=>[3,4,1,5,6,7,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,4,7,6,3,2,1,5]=>[1,5,2,3,6,7,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,8,7,4,3,2,1,6]=>[4,1,2,5,6,7,8,3]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [5,8,6,2,3,4,7,1]=>[4,1,3,7,6,5,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,2,7,3,1,8,6]=>[5,4,7,2,6,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,2,6,3,5,7,1]=>[5,1,7,3,6,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,7,8,6,5,1,2]=>[5,6,2,1,3,4,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,7,2,5,8,6,3]=>[5,8,2,7,4,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,2,1,5,6,4,3]=>[2,1,7,8,4,3,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,2,5,8,4,3,7]=>[8,3,7,4,1,5,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,8,7,4,5,3,6]=>[7,8,1,2,5,4,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,8,6,2,3,7,4]=>[8,4,1,3,7,6,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,8,3,1,6,5,7]=>[7,5,1,6,8,3,4,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,2,7,1,8,6,3,4]=>[4,7,2,8,1,3,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,1,3,8,7,4,5]=>[7,3,8,6,1,2,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,3,5,1,7,4,6]=>[7,1,6,4,8,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,7,4,2,6,5,1]=>[1,6,2,5,7,3,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,6,5,1,7,4,3]=>[7,1,3,4,8,2,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,3,4,1,7,5,6]=>[7,1,6,5,8,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,3,1,7,6,5]=>[7,1,5,6,8,2,3,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,5,3,1,7,6,4]=>[7,1,4,6,8,2,3,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,6,4,1,7,5,3]=>[7,1,3,5,8,2,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,8,7,5,1,6,4,2]=>[6,1,2,4,8,3,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,3,7,5,2,6,4,1]=>[1,6,2,4,7,3,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,4,7,6,2,5,3,1]=>[1,5,2,3,7,4,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,7,6,1,5,3,2]=>[5,1,2,3,8,4,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,4,8,6,2,1,5,3]=>[2,5,1,3,7,8,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,3,8,5,2,1,6,4]=>[2,6,1,4,7,8,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,3,8,4,2,1,6,5]=>[2,6,1,5,7,8,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,7,8,4,1,2,6,5]=>[6,2,1,5,8,7,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,8,5,1,2,6,4]=>[6,2,1,4,8,7,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,8,6,1,2,5,3]=>[5,2,1,3,8,7,4,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,8,6,1,2,4,3]=>[4,2,1,3,8,7,5,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,4,7,8,3,1,2,5]=>[3,5,2,1,6,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,4,8,2,1,5,6]=>[2,6,5,1,7,8,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,8,6,2,1,4,3]=>[2,4,1,3,7,8,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,5,8,7,3,1,4,2]=>[3,4,1,2,6,8,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,4,8,3,1,5,7,6]=>[7,5,1,6,8,4,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,8,4,1,6,7,5]=>[7,6,1,5,8,3,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,8,5,1,6,7,4]=>[7,6,1,4,8,3,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,4,8,7,3,1,5,2]=>[3,5,1,2,6,8,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,8,7,1,5,6,2]=>[6,5,1,2,8,4,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,8,6,1,5,7,3]=>[7,5,1,3,8,4,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,6,1,4,7,3]=>[7,4,1,3,8,5,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,8,7,1,3,5,2]=>[5,3,1,2,8,6,4,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,8,5,1,3,7,4]=>[7,3,1,4,8,6,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,8,4,1,3,7,5]=>[7,3,1,5,8,6,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,3,1,4,7,6]=>[7,4,1,6,8,5,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,8,7,1,3,4,2]=>[4,3,1,2,8,6,5,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,4,6,8,2,1,3,5]=>[2,5,3,1,7,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,5,4,1,8,6,7]=>[7,6,4,5,8,1,3,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,6,4,8,1,5,7]=>[7,6,3,5,1,8,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,4,6,3,5,2,7]=>[8,1,5,3,6,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,8,6,2,1,3,7]=>[4,5,1,3,7,8,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,3,6,8,1,5,4,7]=>[7,6,3,1,8,4,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,6,1,4,7,8,3]=>[7,4,3,8,5,2,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,6,1,4,7,3,8]=>[7,4,3,8,5,2,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,5,1,6,8,4,2]=>[2,6,4,8,3,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,7,6,1,8,5,4,3]=>[7,2,3,8,1,4,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,6,8,1,4,5,3]=>[7,2,3,1,8,5,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,7,6,3,2,5,4]=>[8,1,2,3,6,7,4,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,8,7,6,3,2,4,5]=>[8,1,2,3,6,7,5,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,7,8,6,2,3,4,1]=>[4,2,1,3,7,6,5,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,6,1,8,5,3,4]=>[7,2,3,8,1,4,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,1,7,2,4,8]=>[3,6,4,8,2,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,3,4,7,6,1,5,8]=>[7,6,5,2,3,8,4,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,3,5,8,4,1,2,6]=>[2,6,4,1,5,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,4,5,2,7,3,6]=>[8,1,5,4,7,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,5,2,7,6,3]=>[8,1,5,4,7,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,5,8,4,1,6,2]=>[2,6,4,1,5,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,6,4,8,5,1,3]=>[7,2,3,5,1,4,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,4,6,8,1,2]=>[2,6,4,5,3,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,5,4,7,1,8,2]=>[3,6,4,5,2,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,5,4,7,1,2,8]=>[3,6,4,5,2,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,1,5,6,8,7,2]=>[6,5,8,4,3,1,2,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,1,6,8,5,2,4]=>[6,2,8,3,1,4,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,8,6,4,7,5]=>[7,6,8,1,3,5,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,4,3,6,2,5,7]=>[8,1,5,6,3,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,1,8,6,4,5,7]=>[7,6,8,1,3,5,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,1,6,8,5,4,2]=>[6,2,8,3,1,4,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,3,5,4,7,2,1,8]=>[3,6,4,5,2,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,5,4,6,8,2,1]=>[2,6,4,5,3,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,7,6,4,8,5,3,1]=>[7,2,3,5,1,4,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,8,4,5,2,6,3,7]=>[8,1,5,4,7,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,8,5,3,1,2,7]=>[3,5,1,4,6,8,7,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,3,5,8,4,6,2,1]=>[2,6,4,1,5,3,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,4,6,5,8,1,7]=>[7,6,5,3,4,1,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,7,5,1,8,6]=>[7,6,5,2,4,8,1,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,4,7,5,1,6,8]=>[7,6,5,2,4,8,3,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,4,7,1,6,5,8]=>[7,6,5,2,8,3,4,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,7,1,6,8,5]=>[7,6,5,2,8,3,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,4,6,1,8,7,5]=>[7,6,5,3,8,1,2,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,3,5,8,4,2,7,1]=>[3,6,4,1,5,7,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,8,5,3,2,1,6]=>[2,5,1,4,6,7,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,8,4,5,2,3,6,7]=>[8,1,5,4,7,6,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,4,8,5,3,2,6,1]=>[2,5,1,4,6,7,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,3,5,8,4,2,1,7]=>[3,6,4,1,5,7,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,4,6,8,3,7,1]=>[4,7,5,3,1,6,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,4,6,3,2,8]=>[8,4,2,5,3,6,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,8,4,6,3,7,1]=>[4,7,1,5,3,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,5,4,6,7,2,1]=>[6,1,4,5,3,2,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,3,4,5,7,2,1]=>[3,1,6,5,4,2,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,5,7,4,6,3,8,1]=>[7,4,2,5,3,6,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,6,8,3,2,7]=>[4,8,5,3,1,6,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,4,6,3,2,7]=>[4,8,1,5,3,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,6,4,5,3,2,7]=>[1,8,3,5,4,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,3,5,4,6,2,7]=>[1,8,6,4,5,3,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,6,2,4,3,5,7]=>[1,8,3,7,5,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,6,2,4,3,5,8]=>[8,2,3,7,5,6,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,6,3,4,5,7,1]=>[1,7,3,6,5,4,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,7,6,3,4,5,2,8]=>[8,2,3,6,5,4,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,5,4,3,6,8]=>[8,2,7,4,5,6,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,2,4,7,3,6,1]=>[4,1,7,5,2,6,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,3,2,4,7,5,1]=>[3,1,6,7,5,2,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,6,3,4,5,2,7]=>[1,8,3,6,5,4,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,2,5,4,3,6,7]=>[1,8,7,4,5,6,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,8,7,5,2,6,1]=>[6,5,1,2,4,7,3,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,2,8,6,1,5,4,7]=>[6,7,1,3,8,4,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,7,2,5,4,6,1]=>[6,1,2,7,4,5,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,2,4,8,7,1]=>[4,6,3,7,5,1,2,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,5,2,8,6,1,4,7]=>[6,4,7,1,3,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,2,5,1,4,8,6]=>[6,2,7,4,8,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,8,6,2,3,4,7]=>[4,8,1,3,7,6,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,5,4,1,8,6,3,7]=>[7,4,5,8,1,3,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,6,1,8,2,5,4]=>[6,2,3,8,1,7,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,6,1,4,7,5]=>[1,7,6,3,8,5,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,2,6,3,4,7,5]=>[8,1,7,3,6,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,3,6,4,7,2,5]=>[1,8,6,3,5,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,3,6,4,8,2,5]=>[2,8,6,3,5,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,3,1,4,7,5]=>[1,7,3,6,8,5,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,5,8,3,4,1,6]=>[7,2,4,1,6,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,8,5,4,1,2,6]=>[2,6,1,4,5,8,7,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,2,3,6,1,4,8,5]=>[2,7,6,3,8,5,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,7,2,5,8,4,6]=>[8,6,2,7,4,1,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,5,8,4,6]=>[8,2,7,6,4,1,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,4,8,1,3,6,2,5]=>[2,5,1,8,6,3,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,2,3,5,7,4,6]=>[1,8,7,6,4,2,5,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,2,3,5,8,4,6]=>[2,8,7,6,4,1,5,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,6,3,7,1,4,8,5]=>[7,3,6,2,8,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,3,8,1,4,7,5]=>[7,3,6,1,8,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,1,8,5,4,6,7]=>[7,6,8,1,4,5,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,7,6,1,8,5,2]=>[6,5,2,3,8,1,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,2,6,7,1,8,4]=>[6,4,7,3,2,8,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,8,4,7,5,1,6]=>[6,7,1,5,2,4,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,7,5,1,3,2,6]=>[1,5,2,4,8,6,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,1,6,5,2,7,4]=>[6,1,8,3,4,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,2,8,3,4,7,5]=>[3,8,7,1,6,5,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,3,1,7,2,4,5]=>[3,1,6,8,2,7,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,5,6,1,8,4]=>[6,2,7,4,3,8,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,2,5,1,7,3]=>[3,1,5,7,4,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,3,8,4,1,6]=>[7,2,4,6,1,5,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,3,6,4,7,1,5]=>[7,1,6,3,5,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,6,4,8,1,2,5]=>[2,6,3,5,1,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,6,4,7,1,2,5]=>[1,6,3,5,2,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,2,8,3,5,7,4,6]=>[8,7,1,6,4,2,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,3,2,5,7,4,6]=>[8,1,6,7,4,2,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,6,4,8,2,1,5]=>[2,6,3,5,1,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,1,7,3,5,2,8]=>[5,3,8,2,6,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,1,7,3,4,2,8]=>[4,3,8,2,6,5,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,3,4,2,8,5]=>[3,8,2,6,5,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,1,6,5,2,4]=>[2,6,1,8,3,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,7,1,6,5,2,4]=>[1,6,2,8,3,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,7,4,2,8,6,3]=>[4,8,2,5,7,1,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,2,8,6,5,1,7,3]=>[5,7,1,3,4,8,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,1,6,4,2,3,8,7]=>[4,8,3,5,7,6,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,3,8,7,5,1,6]=>[5,7,6,1,2,4,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,7,1,6,5,2,4]=>[6,1,2,8,3,4,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,8,1,6,7,5]=>[7,5,6,1,8,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,7,1,6,8,5]=>[7,5,6,2,8,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,3,7,8,5,1,6]=>[5,7,6,2,1,4,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,4,2,3,7,8]=>[4,8,3,5,7,6,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,4,7,8,1,5,2,3]=>[3,5,2,1,8,4,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,8,6,1,5,2,3]=>[5,2,1,3,8,4,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,4,7,8,1,5,6]=>[6,7,5,2,1,8,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,8,7,6,1,5,2,3]=>[5,1,2,3,8,4,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,7,6,1,4,2,3]=>[4,1,2,3,8,5,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,1,6,7,4,2,3,8]=>[4,8,3,2,5,7,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,7,6,1,5,2,3]=>[1,5,2,3,8,4,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,3,7,1,6,4,8]=>[7,4,6,2,8,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,6,7,1,5,2,3]=>[1,5,3,2,8,4,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,8,4,2,3,7]=>[4,8,3,1,5,7,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,3,7,5,1,6,8]=>[5,7,6,2,4,8,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,5,8,1,6,2,4]=>[6,2,4,1,8,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,7,1,6,5,8]=>[7,5,6,2,8,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,7,1,5,8,6,3]=>[7,5,2,8,4,1,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,4,7,6,1,5,8]=>[6,7,5,2,3,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,6,7,1,4,2,3]=>[1,4,3,2,8,5,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,6,7,5,1,4,2,3]=>[1,3,2,4,8,5,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,6,8,5,1,4,2,3]=>[2,3,1,4,8,5,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,7,5,1,4,2,3]=>[3,1,2,4,8,5,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,6,8,7,1,4,2,3]=>[4,3,1,2,8,5,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,8,7,1,5,2,3]=>[5,3,1,2,8,4,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,6,7,1,5,8,3]=>[7,5,3,2,8,4,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,2,4,6,1,5,7,8]=>[6,7,5,3,8,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,8,5,1,4,2,3]=>[3,2,1,4,8,5,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,8,6,5,1,4,2,3]=>[2,1,3,4,8,5,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,8,5,4,6,3,7]=>[7,8,1,4,5,3,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,8,5,2,3,6,7]=>[5,8,1,4,7,6,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,2,7,1,5,3,4,6]=>[1,7,2,8,4,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,7,1,5,8,4,6]=>[6,7,2,8,4,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,7,1,5,4,2,8]=>[3,6,2,8,4,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,8,1,5,4,2,6]=>[2,6,1,8,4,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,5,3,8,4,2,6]=>[2,8,4,6,1,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,1,3,6,8,2,7]=>[5,4,8,6,3,1,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,6,8,1,5,4,2,7]=>[6,3,1,8,4,5,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,1,5,4,2,7]=>[3,1,6,8,4,5,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,1,5,8,4,7]=>[6,3,7,8,4,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,2,1,7,5,3,6]=>[5,1,7,8,2,4,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,8,1,5,7,4,6]=>[7,6,1,8,4,2,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,3,2,8,6,4,5]=>[2,8,6,7,1,3,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,6,2,8,3,4,5]=>[2,8,3,7,1,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,1,2,6,3,8,5]=>[5,2,8,7,3,6,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,8,1,5,3,4,6]=>[7,2,1,8,4,6,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,1,5,3,4,8]=>[3,2,7,8,4,6,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,1,8,5,3,6]=>[5,2,7,8,1,4,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,8,6,1,4,3,2]=>[4,2,1,3,8,5,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,4,1,6,5,3,8]=>[7,2,5,8,3,4,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,1,4,5,6,8,2]=>[6,2,8,5,4,3,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,1,6,4,5,8,3,2]=>[2,8,3,5,4,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,5,1,4,7,6,8,2]=>[6,4,8,5,2,3,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,1,7,5,3,8]=>[7,3,5,8,2,4,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,7,1,4,3,2]=>[4,3,1,2,8,5,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,8,5,7,1,4,3,2]=>[3,1,4,2,8,5,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,5,7,6,1,4,3,2]=>[1,4,2,3,8,5,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,5,7,8,1,4,3,2]=>[3,4,2,1,8,5,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,1,5,6,4,8]=>[2,7,6,8,4,3,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,8,1,6,5,3,7]=>[5,7,1,8,3,4,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,4,1,8,5,3,7]=>[3,7,5,8,1,4,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,5,8,4,3,6,2]=>[2,8,4,1,5,6,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,1,6,4,3,7,2]=>[4,1,8,3,5,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,6,1,4,5,3,7]=>[1,7,3,8,5,4,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,8,1,4,5,3,7]=>[3,7,1,8,5,4,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,6,1,5,3,4,8]=>[2,7,3,8,4,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,8,6,1,5,3,4,7]=>[7,1,3,8,4,6,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,5,8,3,4,6]=>[2,8,7,4,1,6,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,4,5,6,8,3,2]=>[2,8,5,4,3,1,6,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,5,6,7,1,4,3,2]=>[1,4,3,2,8,5,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,6,8,5,1,4,3,2]=>[2,3,1,4,8,5,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,8,7,5,1,4,3,2]=>[3,1,2,4,8,5,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,6,7,1,4,5,3,8]=>[7,3,2,8,5,4,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,7,4,6,8,2]=>[6,4,8,2,5,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,6,4,8,3,2]=>[2,8,4,3,5,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,6,5,4,8,3,2]=>[2,8,3,4,5,1,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,7,6,1,4,5,3,8]=>[7,2,3,8,5,4,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,6,8,1,4,3,2]=>[4,2,3,1,8,5,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,6,5,1,4,3,2]=>[2,1,3,4,8,5,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,3,6,2,1,8,7,4]=>[4,6,3,7,8,1,2,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,3,7,2,1,4,6,8]=>[4,6,2,7,8,5,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,3,7,2,8,4,1,6]=>[4,6,2,7,1,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,4,5,8,3,1,6]=>[2,7,5,4,1,6,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,4,5,1,3,6,8]=>[2,7,5,4,8,6,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,4,5,1,8,7,3]=>[3,7,5,4,8,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,5,2,8,7,6]=>[6,8,5,4,7,1,2,3]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,4,5,2,8,7,3]=>[8,3,5,4,7,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,4,5,8,2,1,6]=>[6,2,5,4,1,7,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,2,6,3,5,8]=>[8,2,5,7,3,6,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,7,1,8,4,2,5]=>[3,6,2,8,1,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,4,1,6,3,2,8]=>[4,2,5,8,3,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,8,6,3,2,5]=>[8,2,5,1,3,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,4,8,6,3,1,2]=>[4,2,5,1,3,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,8,3,5,6,7,1,2]=>[5,1,6,4,3,2,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,8,3,5,6,7,2,4]=>[8,1,6,4,3,2,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,8,1,5,6,7,2,3]=>[5,1,8,4,3,2,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,5,6,7,2,8]=>[5,8,6,4,3,2,7,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,8,4,3,6,1,2,7]=>[4,1,5,6,3,8,7,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,8,4,1,7,2,6]=>[4,6,1,5,8,2,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,8,4,6,7,3,2]=>[8,4,1,5,3,2,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,8,3,6,7,5,2]=>[8,5,1,6,3,2,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,8,2,1,7,5,6]=>[5,6,1,7,8,2,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,4,2,6,1,5,7]=>[6,1,5,7,3,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,2,5,6,7,4,3]=>[8,1,7,4,3,2,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,8,1,5,6,7,4,2]=>[6,1,8,4,3,2,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,8,2,5,6,7,1,4]=>[6,1,7,4,3,2,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,3,5,6,7,4,2]=>[1,8,6,4,3,2,5,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,4,3,6,2,5,8]=>[2,8,5,6,3,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,4,3,6,2,1,5]=>[2,1,5,6,3,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,8,2,7,1,4]=>[3,6,4,1,7,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,8,6,2,3,5]=>[2,8,5,1,3,7,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,4,5,8,2,3,7]=>[8,3,5,4,1,7,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,6,1,8,2,4,5]=>[2,6,3,8,1,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,6,5,8,3,4,2]=>[8,2,3,4,1,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,3,6,7,4,2]=>[8,1,4,6,3,2,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,3,5,2,1,7,4,6]=>[1,6,4,7,8,2,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,8,5,6,7,3,2]=>[5,8,1,4,3,2,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,2,8,5,6,7,3,4]=>[8,7,1,4,3,2,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,8,6,7,4,2]=>[8,4,6,1,3,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,5,8,6,7,3,2]=>[8,5,4,1,3,2,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,3,5,8,1,7,2,6]=>[5,6,4,1,8,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,8,6,1,2,7]=>[6,4,5,1,3,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,4,8,5,6,7,2,3]=>[8,5,1,4,3,2,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,8,5,6,7,1,2]=>[6,5,1,4,3,2,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,1,5,6,3,4,8]=>[7,2,8,4,3,6,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,1,4,3,6,5,8]=>[7,2,8,5,6,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,2,5,6,8,1]=>[5,6,2,7,4,3,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,3,1,4,5,8,7]=>[7,3,6,8,5,4,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,1,4,2,6,8,5]=>[6,2,8,5,7,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,1,5,6,2,8,4]=>[6,2,8,4,3,7,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,5,6,8,2,3]=>[5,2,8,4,3,1,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,7,3,2,5,6,1,8]=>[5,2,6,7,4,3,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,6,2,8,1,7]=>[4,6,5,3,7,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,4,2,8,1,6]=>[4,6,2,5,7,1,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,2,3,8,1,5]=>[3,5,2,7,6,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,7,2,8,3,1,4]=>[3,4,2,7,1,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,7,2,4,8,6,1]=>[4,6,2,7,5,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,6,5,1,8,3,4,7]=>[7,3,4,8,1,6,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,5,6,3,1,2,7,4]=>[1,4,3,6,8,7,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,6,2,3,1,7,5]=>[1,5,3,7,6,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,7,3,4,2,1,8,6]=>[4,2,6,5,7,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,4,2,3,1,8,5]=>[3,2,5,7,6,8,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,5,4,1,8,2,3]=>[3,2,4,5,8,1,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,3,5,4,1,8,6,2]=>[2,6,4,5,8,1,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,7,1,3,4,8,6]=>[4,7,2,8,6,5,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,5,7,3,1,4,8]=>[7,3,4,2,6,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,5,7,3,1,8,4]=>[7,3,4,2,6,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,2,1,3,4,5,7]=>[3,1,7,8,6,5,4,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [3,7,1,8,4,5,2,6]=>[6,2,8,1,5,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,7,4,3,6,2]=>[4,1,8,2,5,6,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,1,7,4,3,2,6]=>[4,1,8,2,5,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,8,6,2,1,4,5]=>[6,2,1,3,7,8,5,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,6,7,5,2,1,8,4]=>[6,3,2,4,7,8,1,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,3,4,2,6,8,5,1]=>[2,6,5,7,3,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,8,6,2,7,3,5,1]=>[5,1,3,7,2,6,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,2,6,8,1,5]=>[2,6,5,7,3,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,7,5,2,4,8,1]=>[6,3,2,4,7,5,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,7,5,2,4,1,8]=>[6,3,2,4,7,5,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,8,4,2,5,1]=>[6,2,3,1,5,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,1,7,4,2,6,3]=>[4,1,8,2,5,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,1,7,3,6,5,2]=>[5,1,8,2,6,3,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,2,4,1,3,6,5]=>[2,1,7,5,8,6,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,5,4,7,8,3]=>[7,3,8,4,5,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,3,5,8,7,1,2]=>[5,3,6,4,1,2,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,1,4,8,7,2]=>[6,4,3,8,5,1,2,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,6,8,4,1,5,7]=>[7,6,3,1,5,8,4,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,7,5,2,1,3,6,8]=>[5,2,4,7,8,6,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,5,6,1,4,8,3,7]=>[7,4,3,8,5,1,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,8,4,1,5,3,2]=>[3,2,1,5,8,4,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,1,6,8,4,5,3,2]=>[2,8,3,1,5,4,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,6,5,2,8,1,3]=>[2,5,3,4,7,1,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,5,6,4,2,3,8]=>[2,8,4,3,5,7,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,4,6,8,1,3,2]=>[4,2,5,3,1,8,6,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,1,4,6,3,2]=>[4,2,1,8,5,3,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,5,7,4,6,3,2]=>[1,8,4,2,5,3,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,4,6,7,5,3,2]=>[8,1,5,3,2,4,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,8,4,7,5,3,2]=>[3,8,1,5,2,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,5,8,6,1,7,3,2]=>[5,4,1,3,8,2,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,8,5,1,6,7,3,2]=>[5,1,4,8,3,2,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,4,5,6,7,3,2]=>[1,8,5,4,3,2,6,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,6,7,1,4,2,3,8]=>[4,3,2,8,5,7,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,5,2,1,6,7,3]=>[5,1,4,7,8,3,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,1,8,4,2,6,3,7]=>[4,8,1,5,7,3,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,4,6,2,5,3,7]=>[8,1,5,3,7,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,2,3,4,7,8]=>[3,8,4,7,6,5,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,1,8,2,5,6,4,7]=>[6,8,1,7,4,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,1,8,2,6,4,7]=>[6,4,8,1,7,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,2,8,4,7,6]=>[6,4,8,7,1,5,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,8,6,1,7,4]=>[7,6,4,1,3,8,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [8,2,4,3,6,7,1,5]=>[1,7,5,6,3,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,8,5,7,1,6,4]=>[6,7,1,4,2,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,6,2,8,5,1,7,4]=>[6,3,7,1,4,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,7,1,4,6,5,3]=>[7,1,2,8,5,3,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,2,7,1,5,4,6,3]=>[1,7,2,8,4,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,5,3,6,8,1,4]=>[2,7,4,6,3,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,5,1,6,2,4,8]=>[6,2,4,8,3,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,3,6,5,8,1,4]=>[7,2,6,3,4,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,7,2,3,6,5,4]=>[8,1,2,7,6,3,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,8,2,6,4,3,5]=>[8,2,1,7,3,5,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,8,2,6,4,5]=>[8,2,6,1,7,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,7,3,6,4,5,8]=>[8,7,2,6,3,5,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,5,8,3,2,4,6]=>[2,8,4,1,6,7,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,2,8,4,3,7,5]=>[8,3,7,1,5,6,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,8,7,2,4,6,5]=>[8,6,1,2,7,5,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,8,3,7,2,5,4,6]=>[8,1,6,2,7,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,7,3,2,5,6]=>[1,8,5,2,6,7,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,8,1,3,2,5,6]=>[5,2,1,8,6,7,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,4,2,3,5,6,8]=>[2,8,5,7,6,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [2,1,3,8,4,6,7,5]=>[7,8,6,1,5,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,7,5,6,8,3,1]=>[7,5,2,4,3,1,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,8,7,5,6,3,1]=>[7,5,1,2,4,3,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,3,8,4,7,6,1]=>[7,4,6,1,5,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,5,7,3,6,4,1]=>[7,1,4,2,6,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,8,5,2,7,6,4]=>[6,8,1,4,7,2,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,3,5,7,1,6,4,2]=>[1,6,4,2,8,3,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,6,1,4,5,7,2]=>[1,6,3,8,5,4,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,8,6,3,4,5,7,1]=>[7,1,3,6,5,4,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,8,3,4,5,7,1]=>[7,3,1,6,5,4,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,7,3,4,8,6,1]=>[7,4,2,6,5,1,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,8,5,3,6,4,1]=>[7,2,1,4,6,3,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,6,3,4,8,5,1]=>[7,2,3,6,5,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,8,7,2,6,4,5]=>[6,8,1,2,7,3,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,7,6,1,4,5,2]=>[1,6,2,3,8,5,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,1,7,2,3,6,5]=>[5,1,8,2,7,6,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,7,2,3,6,5,8]=>[5,8,2,7,6,3,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,1,8,2,6,4,5]=>[6,2,8,1,7,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,8,2,5,6,4]=>[6,8,2,1,7,4,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,6,5,8,2,7,4]=>[6,8,3,4,1,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,5,8,7,1,4,2]=>[3,6,4,1,2,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,5,1,6,4,2]=>[2,6,1,4,8,3,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,3,6,1,4,8,5,2]=>[2,6,3,8,5,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,3,6,1,4,5,2]=>[2,1,6,3,8,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,8,1,2,3,6,5]=>[2,5,1,8,7,6,3,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,4,6,1,2,8,3,5]=>[2,5,3,8,7,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,1,2,3,6,4,8]=>[4,2,8,7,6,3,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,6,8,1,2,7,4,5]=>[6,3,1,8,7,2,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,6,1,2,3,7,5]=>[5,1,3,8,7,6,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,4,6,1,2,3,7,5]=>[1,5,3,8,7,6,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,8,1,5,2,7,3,6]=>[5,1,8,4,7,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,5,3,8,7,6]=>[5,8,7,4,6,1,2,3]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,8,7,5,2,6]=>[6,8,5,1,2,4,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,6,8,7,5,1,2]=>[5,6,3,1,2,4,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,6,7,4,1,2,5,3]=>[1,3,2,5,8,7,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,4,8,1,2,5,3,7]=>[3,5,1,8,7,4,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,3,1,4,8,5,2]=>[3,2,6,8,5,1,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,3,8,7,1,4,2]=>[4,3,6,1,2,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,1,2,8,6,3]=>[4,5,2,8,7,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,4,1,2,8,3,5]=>[3,2,5,8,7,1,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,4,1,2,5,3,8]=>[3,2,5,8,7,4,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,6,4,1,2,5,3]=>[2,1,3,5,8,7,4,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,4,6,3,5,7,1,8]=>[7,5,3,6,4,2,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,6,3,7,2,5,8]=>[8,5,3,6,2,7,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,3,4,5,1,7,6]=>[1,7,6,5,4,8,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,4,2,7,5,6]=>[8,1,6,5,7,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,4,1,6,7,5]=>[7,1,6,5,8,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,2,4,6,1,7,5]=>[6,1,7,5,3,8,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,2,4,3,1,6,5]=>[2,1,7,5,6,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,8,2,3,1,7,6]=>[5,4,1,7,6,8,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,3,7,2,6,8]=>[4,8,5,6,2,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,3,5,7,2,4,8]=>[3,8,6,4,2,7,5,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,7,5,3,6,8]=>[7,8,5,2,4,6,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,3,6,2,5,4,8]=>[2,8,6,3,7,4,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,6,2,4,7,5]=>[1,8,6,3,7,5,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,8,3,7,5,4,6]=>[7,8,1,6,2,4,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,8,2,5,6,3,4]=>[2,8,1,7,4,3,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,5,8,2,7,3,4]=>[3,8,4,1,7,2,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,8,1,6,7,3]=>[5,4,7,1,8,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,8,5,1,6,7,4]=>[6,7,1,4,8,3,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,7,1,4,6,5,3]=>[1,7,2,8,5,3,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,3,8,2,5,7,4,6]=>[8,6,1,7,4,2,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,7,1,6,4,5,3]=>[7,1,2,8,3,5,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,1,5,6,4,2]=>[6,1,2,8,4,3,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,8,5,6,1,7,2]=>[6,5,1,4,3,8,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,7,4,1,6,5,2]=>[1,6,2,5,8,3,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,4,8,6,2,7,3,5]=>[8,5,1,3,7,2,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,4,5,7,1,6,3,2]=>[1,5,4,2,8,3,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,6,8,4,1,7,2]=>[6,4,3,1,5,8,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,2,3,1,5,4,7,8]=>[3,7,6,8,4,5,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,3,1,4,6,5,8]=>[2,7,6,8,5,3,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,3,1,4,5,7,6]=>[1,7,6,8,5,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,1,4,5,3,7,8]=>[7,3,8,5,4,6,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,4,1,5,2,7,8]=>[6,3,5,8,4,7,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,7,1,2,6,3,8]=>[5,4,2,8,7,3,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,1,2,6,5,8]=>[6,2,5,8,7,3,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,4,2,5,3,8]=>[3,2,8,5,7,4,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,3,5,6,4,8]=>[7,2,8,6,4,3,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,8,1,3,4,6,7,5]=>[7,1,8,6,5,3,2,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,8,1,2,5,3,6,4]=>[2,1,8,7,4,6,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,1,2,5,7,6]=>[6,1,5,8,7,4,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,6,7,5,3,8,4]=>[8,7,3,2,4,6,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,7,5,3,2,8,4,6]=>[8,2,4,6,7,1,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,6,7,5,3,8,4,2]=>[8,3,2,4,6,1,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,5,7,2,3,8,4]=>[8,3,4,2,7,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,8,2,6,5,7,4]=>[8,6,1,7,3,4,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,5,7,6,3,4,8]=>[8,7,4,2,3,6,5,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,4,8,2,5,7,6]=>[8,6,5,1,7,4,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,7,6,2,3,4,8]=>[8,4,2,3,7,6,5,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,5,3,8,2,6,4,7]=>[8,4,6,1,7,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,8,3,2,5,7,6]=>[8,5,1,6,7,4,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,8,3,5,7,6,2]=>[8,5,1,6,4,2,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,4,8,3,5,7,6]=>[8,7,5,1,6,4,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,8,4,2,6,7,5]=>[8,6,1,5,7,3,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,8,2,3,5,7,6]=>[8,5,1,7,6,4,2,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,5,7,3,8,2,4,1]=>[3,4,2,6,1,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,7,5,8,3,1]=>[5,7,3,2,4,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,5,2,1,8,4,3]=>[3,2,4,7,8,1,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,4,8,7,5,2,1,6]=>[6,5,1,2,4,7,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,7,5,2,8,4,6,3]=>[8,2,4,7,1,5,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,8,3,1,7,2,4]=>[4,3,1,6,8,2,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,4,8,3,2,7,5]=>[3,8,5,1,6,7,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,7,1,8,6,2,5]=>[6,5,2,8,1,3,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,6,8,2,1,5,7]=>[6,5,3,1,7,8,4,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,8,2,5,6,1,4,7]=>[6,1,7,4,3,8,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,8,6,4,1,7]=>[6,4,7,1,3,5,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,5,7,3,8,6,1]=>[5,7,4,2,6,1,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,2,8,5,6,4,7]=>[6,8,7,1,4,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,8,4,1,3,7]=>[4,7,3,1,5,8,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,6,8,3,4,2,7]=>[8,4,3,1,6,5,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,8,1,6,3,2,7]=>[5,4,1,8,3,6,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,6,8,3,2,7]=>[5,4,8,3,1,6,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,7,3,8,2,6,1]=>[5,4,2,6,1,7,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,1,7,8,2,6]=>[5,4,6,8,2,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,3,5,4,8,2,6]=>[2,8,6,4,5,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,8,4,6,1,2]=>[4,2,6,1,5,3,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,5,7,3,8,6,2]=>[8,5,4,2,6,1,3,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,6,3,7,8,5,2,1]=>[5,3,6,2,1,4,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,3,6,7,8,4,2,1]=>[4,6,3,2,1,5,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,5,3,6,7,8,4,2]=>[8,4,6,3,2,1,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,7,3,8,5,2]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,7,1,8,4,5,2]=>[3,6,2,8,1,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,2,4,8,1,5,3]=>[3,2,7,5,1,8,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,4,7,3,8,5]=>[7,3,8,5,2,6,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,5,6,7,8,1,4]=>[6,7,4,3,2,1,8,5]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,6,7,8,4,1]=>[4,7,6,3,2,1,5,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,7,1,3,2,8,4,5]=>[3,2,8,6,7,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,1,3,4,8,5]=>[3,7,2,8,6,5,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,6,3,7,8,1,5]=>[5,7,3,6,2,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,6,3,7,8,5,1]=>[5,7,3,6,2,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,3,8,2,4,5,1]=>[3,2,6,1,7,5,4,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,2,7,4,1,8,5]=>[6,3,7,2,5,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,3,2,1,4,8,5]=>[3,2,6,7,8,5,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,1,8,3,4,2,5,6]=>[2,8,1,6,5,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,4,1,8,3,5,6]=>[2,7,5,8,1,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,4,8,6,1,3,5]=>[2,7,5,1,3,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,4,8,6,2,1,5]=>[2,6,5,1,3,7,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,7,2,1,8,6,4]=>[6,4,2,7,8,1,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,8,3,2,5,1,4]=>[3,2,1,6,7,4,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,3,7,8,2,5,4,1]=>[3,6,2,1,7,4,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,7,4,8,5,3,1]=>[7,3,2,5,1,4,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,2,4,7,1,8,5,3]=>[3,7,5,2,8,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,2,7,1,8,5,3]=>[5,3,7,2,8,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,4,8,5,2,6,3]=>[8,2,5,1,4,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,7,8,5,2,6,4]=>[8,6,2,1,4,7,3,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,7,8,1,6,3,4]=>[7,4,2,1,8,3,6,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,3,7,1,8,2,5,4]=>[3,6,2,8,1,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,4,7,8,2,5,3]=>[8,3,5,2,1,7,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,1,7,8,4,3]=>[7,4,3,8,2,1,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,2,7,8,4,3]=>[4,3,8,7,2,1,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,7,2,1,8,5,3,4]=>[3,2,7,8,1,4,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,2,8,5,4,1,3]=>[3,2,7,1,4,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,7,4,8,5,3,2]=>[8,3,2,5,1,4,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,7,4,6,2,5,8]=>[8,6,2,5,3,7,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,7,4,3,6,2,8]=>[8,4,2,5,6,3,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,4,5,3,6,2,7]=>[8,1,5,4,6,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,3,4,7,2,6]=>[8,1,4,6,5,2,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,4,6,3,7,5]=>[8,1,7,5,3,6,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,2,5,4,6,7,3]=>[8,1,7,4,5,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,2,7,1,4,5,8]=>[6,3,7,2,8,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,8,1,2,4,7,5]=>[3,6,1,8,7,5,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,4,7,5,2,6,8,3]=>[8,5,2,4,7,3,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,2,7,1,3,8,6]=>[5,4,7,2,8,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,2,3,6,1,8,7]=>[5,4,7,6,3,8,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,3,7,1,8,2]=>[5,3,4,6,2,8,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,8,6,7,1,5]=>[5,7,6,1,3,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,8,5,1,7,3]=>[3,7,5,1,4,8,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,4,8,1,3,7,6]=>[4,7,5,1,8,6,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,5,4,8,3,7,1]=>[3,7,4,5,1,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,3,4,8,1,6,7]=>[4,7,6,5,1,8,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,4,7,1,6,8]=>[6,4,7,5,2,8,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,3,7,1,6,2,8]=>[5,4,6,2,8,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,8,5,1,3,7]=>[3,7,5,1,4,8,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,6,7,3,8,1,5]=>[5,7,3,2,6,1,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,7,4,2,8,6,3]=>[8,4,2,5,7,1,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,7,2,8,6,4,5]=>[8,6,2,7,1,3,5,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,7,8,6,2,5]=>[8,5,6,2,1,3,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,6,8,2,7,4]=>[8,4,6,3,1,7,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,7,1,8,6,3]=>[5,4,7,2,8,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,5,7,8,1,2]=>[5,6,3,4,2,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,3,5,6,8,1,7]=>[5,7,6,4,3,1,8,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,6,4,7,8,3,1]=>[4,7,3,5,2,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,6,7,3,8,5,1]=>[5,7,3,2,6,1,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,5,6,8,1,7,4]=>[6,7,4,3,1,8,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,2,3,8,7,1]=>[3,5,4,7,6,1,2,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,6,7,5,2,3,1]=>[1,5,3,2,4,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,5,2,3,1,8,7]=>[5,3,4,7,6,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,5,3,8,7,1]=>[5,3,7,4,6,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,5,2,3,8,7,1]=>[5,3,4,7,6,1,2,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,7,4,5,2,3,1]=>[3,1,2,5,4,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,7,5,2,3,1]=>[5,1,3,2,4,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,4,7,5,2,3,1]=>[3,1,5,2,4,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,2,7,4,5,3,1]=>[3,1,7,2,5,4,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,2,4,7,5,3,1]=>[3,1,7,5,2,4,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,8,2,6,7,5,3,1]=>[5,1,7,3,2,4,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,8,4,6,7,5,3,1]=>[7,1,5,3,2,4,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,8,6,7,4,5,3,1]=>[7,1,3,2,5,4,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,7,2,4,5,3,1]=>[3,1,2,7,5,4,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,4,5,8,7,3,1]=>[7,3,5,4,1,2,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,6,4,8,7,5,3,1]=>[7,3,5,1,2,4,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,6,2,8,7,5,3,1]=>[5,3,7,1,2,4,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,2,4,6,7,5,3,1]=>[1,7,5,3,2,4,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,4,8,7,5,3,1]=>[3,7,5,1,2,4,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,2,6,8,7,5,3,1]=>[5,7,3,1,2,4,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,2,6,5,8,7,3,1]=>[5,7,3,4,1,2,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,2,4,5,8,7,3,1]=>[3,7,5,4,1,2,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,2,6,7,4,5,3,1]=>[1,7,3,2,5,4,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,6,7,2,4,5,3,1]=>[1,3,2,7,5,4,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,4,5,2,8,7,3,1]=>[3,5,4,7,1,2,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,2,3,6,8,7,5,1]=>[5,7,6,3,1,2,4,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,4,5,8,7,2,3,1]=>[3,5,4,1,2,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,6,7,4,2,5,3,1]=>[1,3,2,5,7,4,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,4,6,7,2,5,3,1]=>[1,5,3,2,7,4,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,8,7,2,5,3,1]=>[3,5,1,2,7,4,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,8,7,4,5,3,1]=>[3,7,1,2,5,4,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,8,7,5,2,3,1]=>[3,5,1,2,4,7,6,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,6,8,7,5,2,3,1]=>[5,3,1,2,4,7,6,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,5,8,7,2,3,1]=>[5,3,4,1,2,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,8,7,4,5,3]=>[7,8,3,1,2,5,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,8,7,4,5,3,1]=>[7,3,1,2,5,4,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,8,6,7,5,3,1]=>[7,5,1,3,2,4,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,2,8,6,7,5,3,1]=>[5,7,1,3,2,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,2,8,4,7,5,3,1]=>[3,7,1,5,2,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,2,6,4,7,5,3,1]=>[1,7,3,5,2,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,4,8,2,7,5,3,1]=>[3,5,1,7,2,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,6,8,2,7,5,3,1]=>[5,3,1,7,2,4,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,8,4,7,5,3,1]=>[7,3,1,5,2,4,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,8,7,2,5,3,1]=>[5,3,1,2,7,4,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,5,8,2,7,3,1]=>[5,3,4,1,7,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,8,4,7,5,3]=>[7,8,3,1,5,2,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,8,6,4,7,5,3]=>[7,8,1,3,5,2,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,8,7,4,2,5,3,1]=>[3,1,2,5,7,4,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,6,4,7,5,3,1]=>[7,1,3,5,2,4,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,6,2,7,5,3,1]=>[5,1,3,7,2,4,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,2,5,6,3,8,1,7]=>[5,7,4,3,6,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,7,4,8,3,1]=>[3,7,4,2,5,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,3,2,5,8,4,1]=>[3,2,6,7,4,1,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,6,4,8,1,5,7]=>[6,7,3,5,1,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,3,6,4,7,8,5,1]=>[7,6,3,5,2,1,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,8,2,6,3,4,1]=>[4,2,1,7,3,6,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,3,5,8,4,2]=>[2,8,3,6,4,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,6,7,4,1,8,2]=>[4,6,3,2,5,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,3,5,2,4,8,7]=>[8,3,6,4,7,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,8,2,7,5,1,6]=>[6,5,1,7,2,4,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,4,7,2,5,6,1]=>[6,1,5,2,7,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,8,1,5,3,7,6]=>[7,5,1,8,4,6,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,8,1,6,2,7,5]=>[6,5,1,8,3,7,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,6,7,3,5,2]=>[8,1,5,3,2,6,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,6,3,4,5,7,2]=>[1,8,3,6,5,4,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,7,6,8,3,4,2,1]=>[4,2,3,1,6,5,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,1,6,5,7,4,3]=>[7,1,8,3,4,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,8,2,5,3,7,1]=>[5,3,1,7,4,6,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,7,6,1,8,4]=>[4,7,6,2,3,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,2,4,6,7,3,5]=>[1,8,7,5,3,2,6,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,7,4,8,6,1]=>[4,7,6,2,5,1,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,8,4,3,1,7]=>[4,7,3,1,5,6,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,1,5,4,3,6,2]=>[2,1,8,4,5,6,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,4,8,5,3,6,1]=>[2,7,5,1,4,6,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,5,1,8,4,6,2]=>[6,2,4,8,1,5,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,8,5,4,6,1,3]=>[7,2,1,4,5,3,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,4,3,8,6,2,1]=>[4,2,5,6,1,3,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,1,6,3,5,2,7]=>[5,1,8,3,6,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,8,2,4,5,7,6]=>[6,8,1,7,5,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,3,7,6,2,4,5]=>[1,8,6,2,3,7,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,6,8,7,1,4,5]=>[7,6,3,1,2,8,5,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,4,2,8,5,7,1]=>[6,3,5,7,1,4,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,2,5,1,8,6]=>[5,2,6,7,4,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,7,5,8,6,1]=>[6,7,5,2,4,1,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,3,8,6,5,1,7]=>[5,7,6,1,3,4,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,3,5,1,8,6,7]=>[7,5,6,4,8,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,8,1,4,6,5,7]=>[6,7,1,8,5,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,8,5,6,1,2,4]=>[6,2,1,4,3,8,7,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,1,8,4,7,2,5]=>[6,3,8,1,5,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,8,4,7,2,5]=>[6,8,3,1,5,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,6,8,3,2,7,5]=>[5,8,3,1,6,7,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,1,8,3,2,7,5]=>[5,3,8,1,6,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,8,1,3,2,6,5]=>[5,2,1,8,6,7,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,3,1,2,6,5]=>[5,2,1,6,8,7,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,8,3,4,6,5,1]=>[7,2,1,6,5,3,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,8,2,1,3,6,5]=>[5,2,1,7,8,6,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,1,8,2,3,7,5]=>[5,3,8,1,7,6,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,8,2,3,7,5]=>[5,8,3,1,7,6,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,1,2,8,3,7,6]=>[5,4,8,7,1,6,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,1,8,3,7,6]=>[5,4,7,8,1,6,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,8,1,3,7,5]=>[5,3,7,1,8,6,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,2,8,4,7,1,5]=>[6,3,7,1,5,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,8,4,7,5,1]=>[7,6,3,1,5,2,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,2,6,8,4,7,1,5]=>[6,7,3,1,5,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,8,3,1,7,5]=>[5,7,3,1,6,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,5,1,8,3,7,6]=>[5,7,4,8,1,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,2,5,8,3,7,6]=>[5,8,7,4,1,6,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,1,3,8,7,6]=>[4,7,5,8,6,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,5,3,8,1,7,6]=>[5,7,4,6,1,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,5,4,8,7,1,6]=>[6,7,4,5,1,2,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,2,4,8,7,1,6]=>[6,4,7,5,1,2,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,4,2,3,8,7,6]=>[4,8,5,7,6,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,3,1,8,2,7,6]=>[5,4,6,8,1,7,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,3,8,2,7,6]=>[5,4,8,6,1,7,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,4,8,7,2,6]=>[6,8,4,5,1,2,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,1,4,8,7,2,6]=>[6,4,8,5,1,2,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,1,8,7,2,6]=>[6,4,5,8,1,2,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,5,8,7,1,2,4]=>[6,3,4,1,2,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,6,8,7,3,4,1]=>[7,4,3,1,2,6,5,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,5,1,8,7,2,6]=>[6,5,4,8,1,2,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,3,5,8,2,7,6]=>[5,8,6,4,1,7,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,8,2,1,7,5]=>[5,6,3,1,7,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,6,8,3,7,5,1]=>[7,5,3,1,6,2,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,5,2,8,7,1,6]=>[6,5,4,7,1,2,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,4,2,8,7,6]=>[4,8,6,5,7,1,2,3]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,3,2,4,8,7,6]=>[4,8,6,7,5,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,4,2,5,8,7,1,6]=>[6,5,7,4,1,2,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,5,8,7,1,6]=>[6,7,5,4,1,2,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,3,5,8,1,7,6]=>[5,7,6,4,1,8,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,1,4,8,7,6]=>[4,7,6,8,5,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,2,3,4,8,7,6]=>[4,8,7,6,5,1,2,3]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,5,7,4,2,8,3,1]=>[3,4,2,5,7,1,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,7,5,3,8,2,4,1]=>[3,2,4,6,1,7,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,5,6,2,4,1,7]=>[1,6,4,3,7,5,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,3,4,6,5,7]=>[1,8,7,6,5,3,4,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,2,3,7,8,4,5,1]=>[3,7,6,2,1,5,4,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,5,8,2,6,3,4,1]=>[2,4,1,7,3,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,6,7,3,4,8,2]=>[8,4,3,2,6,5,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,7,8,2,1,4,5,3]=>[3,2,1,7,8,5,4,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,4,7,6,2,1,3,5]=>[1,5,2,3,7,8,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,3,8,4,7,2,6,1]=>[4,6,1,5,2,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,3,7,6,4,2,5]=>[1,8,6,2,3,5,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,8,2,7,1,6,4]=>[6,4,1,7,2,8,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,8,5,3,1,7,4]=>[3,7,1,4,6,8,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,2,6,4,7,1,3,5]=>[1,7,3,5,2,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,2,8,5,1,7,6]=>[6,5,7,1,4,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,6,5,2,1,7,4]=>[6,1,3,4,7,8,2,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,3,7,4,2,5,6,1]=>[1,6,2,5,7,4,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,5,7,2,1,3,6]=>[5,1,4,2,7,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,1,8,2,6,7,5]=>[6,5,8,1,7,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,4,6,3,7,1,5,2]=>[1,5,3,6,2,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,3,4,1,5,7,2]=>[3,1,6,5,8,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,7,6,2,8,4,3]=>[4,8,2,3,7,1,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,8,2,5,7,4,1,3]=>[3,1,7,4,2,5,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,5,6,7,1,3,4]=>[7,1,4,3,2,8,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,7,6,3,1,8,4]=>[7,4,2,3,6,8,1,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,2,8,3,1,5,6,7]=>[5,7,1,6,8,4,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,5,7,3,8,4,6,1]=>[7,4,2,6,1,5,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,7,1,8,5,3,6]=>[5,7,2,8,1,4,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,6,7,1,5,4,2]=>[1,6,3,2,8,4,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,7,5,8,6,4,2]=>[8,6,2,4,1,3,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,8,4,3,1,6,2]=>[4,2,1,5,6,8,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,4,5,8,3,6,1]=>[7,2,5,4,1,6,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,1,4,8,6,2]=>[6,4,2,8,5,1,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,8,5,1,4,6,3]=>[2,7,1,4,8,5,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,6,5,3,8,4,2,7]=>[8,3,4,6,1,5,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,4,8,3,6,2,1]=>[4,2,5,1,6,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,6,1,3,5,2,7]=>[5,1,3,8,6,4,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,3,2,4,7,5,6]=>[8,1,6,7,5,2,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,4,8,2,5,7,1]=>[6,3,5,1,7,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,7,2,5,8,1,6]=>[5,6,2,7,4,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,4,7,8,5,6,1]=>[6,7,5,2,1,4,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,3,8,5,1,7]=>[7,3,5,6,1,4,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,2,1,6,4,5,7]=>[6,1,7,8,3,5,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,8,3,2,1,5,7]=>[5,3,1,6,7,8,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,2,6,8,5,4,1,7]=>[6,7,3,1,4,5,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,8,2,5,4,1,6]=>[2,6,1,7,4,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,5,3,8,7,6,1]=>[5,7,4,6,1,2,3,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,8,2,6,5,3,1,7]=>[5,1,7,3,4,6,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,6,8,5,4,1,3,7]=>[7,3,1,4,5,8,6,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,1,8,6,5,4,2,7]=>[6,8,1,3,4,5,7,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,4,8,7,3,2,6,1]=>[4,5,1,2,6,7,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,4,8,3,7,2,5,1]=>[3,5,1,6,2,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,3,6,2,1,8,5]=>[5,2,6,3,7,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,5,1,4,2,6]=>[2,6,1,4,8,5,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,8,7,6,2,1,3]=>[4,5,1,2,3,7,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,8,1,5,7,4,6,2]=>[6,1,8,4,2,5,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,7,3,1,6,2]=>[5,1,4,2,6,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,4,8,3,7,6,2]=>[8,4,5,1,6,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,3,6,7,1,5,2]=>[5,1,6,3,2,8,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,3,1,6,5,2]=>[5,2,1,6,8,3,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,1,3,8,7,5,2]=>[5,3,8,6,1,2,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,8,2,1,7,4,5,3]=>[3,1,7,8,2,5,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,6,4,2,8,5]=>[6,2,8,3,5,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,2,7,5,6,8,4]=>[6,8,7,2,4,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,1,2,7,5,8,4]=>[6,3,8,7,2,4,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,2,5,8,1,4]=>[6,2,3,7,4,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,5,8,7,4,1]=>[6,3,7,4,1,2,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,7,2,6,3,8,1,5]=>[5,2,7,3,6,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,4,6,1,8,5]=>[6,2,7,5,3,8,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,7,2,8,1,4,6]=>[4,6,2,7,1,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,8,2,6,5,1,4]=>[2,6,1,7,3,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,8,7,2,5,1,3]=>[3,5,1,2,7,4,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,4,8,1,7,6,3]=>[7,4,5,1,8,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,8,1,7,6,3,4]=>[4,7,1,8,2,3,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,1,8,7,5,2,4]=>[6,3,8,1,2,4,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,1,2,8,7,4,3]=>[4,3,8,7,1,2,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,7,6,8,1,5,4,3]=>[7,2,3,1,8,4,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,5,1,6,2,4,3]=>[2,1,4,8,3,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,8,6,1,2,5,3]=>[2,5,1,3,8,7,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,7,1,6,4,3,2]=>[4,1,2,8,3,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,4,2,5,1,3,8]=>[3,2,5,7,4,8,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,4,6,8,1,3]=>[4,2,7,5,3,1,8,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,7,5,1,6,2,8,3]=>[5,2,4,8,3,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,7,1,3,8,5,2]=>[3,5,2,8,6,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,1,2,7,6,8,3]=>[5,4,8,7,2,3,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,6,8,3,1,2,7]=>[4,5,3,1,6,8,7,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,1,3,8,5,2,7]=>[5,3,8,6,1,4,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,8,4,5,7,2,6]=>[8,6,1,5,4,2,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,7,4,5,3,1,8]=>[7,3,2,5,4,6,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,7,4,2,8,5,6]=>[8,6,2,5,7,1,4,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,1,3,7,2,5,8]=>[5,3,8,6,2,7,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,5,8,6,2,1,3,4]=>[2,4,1,3,7,8,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,8,1,3,6,5,4,7]=>[7,1,8,6,3,4,5,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,7,3,5,4,1,6]=>[7,1,2,6,4,5,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,2,6,8,7,1,5]=>[6,5,7,3,1,2,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,8,4,1,2,6,5]=>[2,6,1,5,8,7,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,3,2,7,1,5,4]=>[3,1,6,7,2,8,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,6,3,7,1,4]=>[7,1,4,3,6,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,2,4,6,5,8]=>[6,2,8,7,5,3,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,5,6,8,2,1,4,3]=>[2,4,3,1,7,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,5,2,7,4,8]=>[6,8,3,4,7,2,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,6,5,3,4,1,7]=>[7,1,3,4,6,5,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,2,3,5,6,8,4]=>[8,2,7,6,4,3,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,4,6,2,8,5,7,1]=>[6,5,3,7,1,4,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,6,5,1,3,8]=>[5,2,7,3,4,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,4,1,2,5,8,6]=>[6,2,5,8,7,4,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,1,6,5,2,8,3]=>[5,2,8,3,4,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,3,6,5,1,8,2]=>[5,2,6,3,4,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,7,1,6,8,5,2]=>[5,6,2,8,3,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,4,8,6,7,1,5]=>[6,7,5,1,3,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,6,8,7,3,1,5]=>[5,7,3,1,2,6,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,6,1,8,5,2,7]=>[6,5,3,8,1,4,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,7,5,8,2,3]=>[5,8,3,2,4,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,1,6,8,2,5]=>[5,6,2,8,3,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,7,3,6,5,2,8]=>[5,8,2,6,3,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,7,4,3,5,1,6]=>[7,1,2,5,6,4,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,1,4,2,6,5,7]=>[6,1,8,5,7,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,3,6,2,5,8]=>[5,8,2,6,3,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,7,6,1,2,4,3]=>[4,1,2,3,8,7,5,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,7,6,2,1,3,4]=>[4,1,2,3,7,8,6,5]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [4,1,7,2,6,8,5,3]=>[5,8,2,7,3,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,7,3,6,1,8,5]=>[5,7,2,6,3,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,2,4,5,6,7,1]=>[6,1,7,5,4,3,2,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,8,5,6,2,4,1,7]=>[6,1,4,3,7,5,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,5,3,7,1,4]=>[7,1,3,4,6,2,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,6,5,1,4,7,2]=>[6,1,3,4,8,5,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,2,1,4,6,7,5]=>[6,1,7,8,5,3,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,2,5,4,6,7,1]=>[6,1,7,4,5,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,7,5,6,3,8,1]=>[5,7,2,4,3,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,7,5,3,1,8]=>[5,7,3,2,4,6,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,6,1,4,5,8,7]=>[6,7,3,8,5,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,8,1,2,4,6,5,7]=>[6,1,8,7,5,3,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,8,7,6,1,3,4,2]=>[4,1,2,3,8,6,5,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,7,6,2,3,4,1]=>[4,1,2,3,7,6,5,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,1,7,5,6,2,3,8]=>[5,8,2,4,3,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,1,5,2,6,4,7]=>[6,1,8,4,7,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,7,5,3,4,1,6]=>[7,1,2,4,6,5,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,7,5,4,3,1,6]=>[7,1,2,4,5,6,8,3]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [4,1,7,5,6,3,2,8]=>[5,8,2,4,3,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,7,6,1,3,2,4]=>[4,1,2,3,8,6,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,7,6,4,1,2,3]=>[4,1,2,3,5,8,7,6]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,4,7,2,5,1,6,3]=>[1,5,2,7,4,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,6,2,3,5,8,1]=>[2,5,3,7,6,4,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,7,2,4,6,8,3]=>[4,8,2,7,5,3,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,5,7,1,2,6,8,3]=>[5,4,2,8,7,3,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,4,7,5,2,8,1]=>[6,3,5,2,4,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,7,6,2,5,8,1]=>[6,5,2,3,7,4,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,5,6,1,3,8,2]=>[5,2,4,3,8,6,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,6,4,3,1,8,2]=>[4,2,3,5,6,8,1,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,7,6,3,1,4,8,2]=>[4,2,3,6,8,5,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,1,3,8,4,2,5]=>[3,2,8,6,1,5,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,5,2,7,8,1,4]=>[6,3,4,7,2,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,8,6,7,1,4,5]=>[6,7,1,3,2,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,3,6,5,2,1,7]=>[5,1,6,3,4,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,6,5,4,2,3,7]=>[8,1,3,4,5,7,6,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,8,7,2,3,5,4,6]=>[8,1,2,7,6,4,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,7,2,5,3,4,6]=>[8,1,2,7,4,6,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,8,5,1,2,4,7]=>[6,3,1,4,8,7,5,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,7,5,1,8,2,6,4]=>[6,2,4,8,1,7,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,8,3,5,6,4]=>[2,8,7,1,6,4,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,7,8,2,5,3,4]=>[3,8,2,1,7,4,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,2,8,1,4,3]=>[3,2,4,7,1,8,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,5,8,6,2,3]=>[2,8,5,4,1,3,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,6,4,2,8,1,3]=>[4,2,3,5,7,1,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,5,6,1,2,8,4,3]=>[2,4,3,8,7,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,3,7,8,6,2,5]=>[5,8,6,2,1,3,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,4,3,6,8,7,2]=>[4,8,5,6,3,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,7,6,8,2,1,3]=>[5,4,2,3,1,7,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,6,8,4,2,1,3]=>[4,2,3,1,5,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,6,8,4,2,7,3]=>[4,8,3,1,5,7,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,8,2,3,6,5,1]=>[2,5,1,7,6,3,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,8,4,7,3,2,1]=>[4,3,1,5,2,6,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,4,7,8,5,2,1,3]=>[3,5,2,1,4,7,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,4,8,5,1,2,7]=>[6,3,5,1,4,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,4,8,1,2,5,6]=>[6,2,5,1,8,7,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,6,8,3,2,5,4,1]=>[2,3,1,6,7,4,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,8,3,4,2,6,5]=>[2,8,1,6,5,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,6,8,3,1,4,5,2]=>[2,3,1,6,8,5,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,4,8,2,5,7,6]=>[6,8,5,1,7,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,5,2,1,3,6,7]=>[5,1,4,7,8,6,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,8,2,6,3,1,4,7]=>[4,1,7,3,6,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,2,3,7,4,1,5]=>[3,1,7,6,2,5,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,2,3,4,6,5,1]=>[2,1,7,6,5,3,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,1,7,2,4,5,3,6]=>[1,8,2,7,5,4,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,3,6,2,5,4,7]=>[1,8,6,3,7,4,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,6,3,5,4,8]=>[7,2,8,3,6,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,5,4,3,6,8]=>[7,2,8,4,5,6,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,3,5,4,2,6,7]=>[1,8,6,4,5,7,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,5,3,4,2,6,7]=>[1,8,4,6,5,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,5,6,2,3,7,4]=>[1,8,4,3,7,6,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,4,5,3,2,6,7]=>[1,8,5,4,6,7,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,4,3,5,2,6,7]=>[1,8,5,6,4,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,7,1,4,5,3,6,8]=>[7,2,8,5,4,6,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,1,5,4,7,8]=>[7,3,6,8,4,5,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,1,6,2,5,4,8]=>[6,2,8,3,7,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,4,5,2,6,8]=>[6,2,8,5,4,7,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,2,1,5,4,7,8]=>[6,3,7,8,4,5,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,6,1,5,4,7,8]=>[7,6,3,8,4,5,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,4,1,6,7,8]=>[6,4,7,5,8,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,4,1,5,2,7,8]=>[3,6,5,8,4,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,4,1,5,3,7,8]=>[3,7,5,8,4,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,4,1,5,3,7,8]=>[7,3,5,8,4,6,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,5,1,3,7,4,8]=>[7,3,4,8,6,2,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,5,1,3,7,4,8]=>[3,7,4,8,6,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,1,2,8,3,5,4]=>[3,2,8,7,1,6,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,2,5,4,3,8]=>[3,2,8,7,4,5,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,2,1,3,7,4,8]=>[4,3,7,8,6,2,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,6,1,3,7,4,8]=>[4,7,3,8,6,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,6,1,5,3,7,8]=>[7,5,3,8,4,6,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,3,5,2,6,8]=>[5,2,8,6,4,7,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,5,3,2,6,8]=>[5,2,8,4,6,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,1,4,2,6,3,8]=>[4,2,8,5,7,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,6,2,3,8,4]=>[4,2,8,3,7,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,3,1,2,7,4,8]=>[4,3,6,8,7,2,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,5,3,1,6,7,8]=>[5,7,4,6,8,3,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,3,6,1,2,7,4,8]=>[4,6,3,8,7,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,6,1,5,2,7,8]=>[6,5,3,8,4,7,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,7,5,4,1,3,6]=>[1,7,2,4,5,8,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,5,2,3,4,1,7]=>[3,1,4,7,6,5,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,8,7,1,5,3,4]=>[7,3,1,2,8,4,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,5,6,2,7,1,4,3]=>[1,4,3,7,2,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,6,1,5,3,8,2]=>[5,2,3,8,4,6,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,4,1,3,8,2]=>[4,2,3,5,8,6,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,1,7,5,3,8,4,2]=>[3,8,2,4,6,1,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,6,7,5,3,1,4,2]=>[1,3,2,4,6,8,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,6,2,4,7,8,1,3]=>[4,3,7,5,2,1,8,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,1,7,8,5,2]=>[6,5,3,8,2,1,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,8,6,7,1,5,2]=>[6,5,1,3,2,8,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,6,7,2,3,1]=>[5,1,4,3,2,7,6,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,6,4,1,2,7,3]=>[4,1,3,5,8,7,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,6,1,7,2,4,3]=>[4,1,3,8,2,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,7,3,2,6,4,1]=>[4,1,2,6,7,3,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,8,1,7,2,6,4,3]=>[4,1,8,2,7,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,5,7,2,6,4,3]=>[1,8,4,2,7,3,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,7,2,5,6,3,4]=>[1,8,2,7,4,3,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,7,2,5,1,3,4]=>[3,1,2,7,4,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,7,2,1,6,3,4]=>[4,1,2,7,8,3,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,1,5,2,6,7,3]=>[5,1,8,4,7,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,8,5,1,6,2,4]=>[6,2,1,4,8,3,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,2,8,5,6,3,4]=>[2,8,7,1,4,3,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,6,7,1,5,2,3,4]=>[1,3,2,8,4,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,7,8,5,2,3,4]=>[3,8,2,1,4,7,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,6,2,1,8,4,3]=>[2,4,3,7,8,1,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,3,5,8,6,2,4]=>[2,8,6,4,1,3,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,4,6,8,7,2]=>[4,8,6,5,3,1,2,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,3,6,8,2,7,1]=>[5,4,6,3,1,7,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,4,8,1,7,2]=>[4,3,6,5,1,8,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,8,5,1,3,2]=>[5,3,2,1,4,8,6,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,1,8,6,3,4,7,2]=>[4,8,1,3,6,5,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,6,8,1,5,3,7,2]=>[5,3,1,8,4,6,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,8,3,2,7,1]=>[3,5,4,1,6,7,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,4,8,7,1,5,2]=>[6,3,5,1,2,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,8,1,3,4,7,2]=>[3,4,1,8,6,5,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,6,8,3,1,2,7,4]=>[4,3,1,6,8,7,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,1,8,3,5,2,7,4]=>[3,8,1,6,4,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,6,8,3,5,2,1,4]=>[2,3,1,6,4,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,7,8,3,5,1,2,4]=>[3,2,1,6,4,8,7,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,8,1,2,6,7,5]=>[6,5,1,8,7,3,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,2,4,3,6,7,1]=>[4,1,7,5,6,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,2,3,1,6,7,4]=>[4,1,7,6,8,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,2,3,5,1,7,4]=>[3,1,7,6,4,8,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,2,3,5,6,1,4]=>[2,1,7,6,4,3,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,8,6,1,3,7,5]=>[7,5,1,3,8,6,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,1,8,4,3,5,2]=>[3,2,8,1,5,6,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,3,8,1,6,4,5]=>[7,2,6,1,8,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,8,4,1,6,3,5]=>[7,2,1,5,8,3,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,5,4,1,3,8,7]=>[7,3,4,5,8,6,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,1,7,6,3,8,2,5]=>[5,8,2,3,6,1,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,2,5,7,6,3,1]=>[5,1,7,4,2,3,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,6,5,1,8,2,7]=>[6,5,3,4,8,1,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,5,3,4,1,8,7]=>[7,3,4,6,5,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,5,2,3,8,7]=>[5,3,8,4,7,6,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,5,1,4,8,7]=>[3,7,6,4,8,5,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,7,5,1,8,4,3]=>[7,3,2,4,8,1,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,5,1,8,3,4,7]=>[3,7,4,8,1,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,3,5,1,8,7,4]=>[7,3,6,4,8,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,7,6,5,8,1,3]=>[7,5,2,3,4,1,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,1,4,8,7,6,3,5]=>[7,8,5,1,2,3,6,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,6,8,5,3,2,1]=>[2,5,3,1,4,6,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,1,3,5,7,4,6,2]=>[1,8,6,4,2,5,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,8,7,5,1,6,4]=>[6,7,1,2,4,8,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,5,1,6,7,2,3]=>[5,1,4,8,3,2,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,5,1,6,7,2,4]=>[6,1,4,8,3,2,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,6,1,3,5,2,4]=>[2,1,3,8,6,4,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,7,2,8,1,3,4]=>[4,3,2,7,1,8,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,8,6,7,4,3]=>[7,4,8,1,3,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,1,8,6,7,4,2]=>[6,4,8,1,3,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,3,8,6,7,4,1]=>[4,7,6,1,3,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,5,4,6,7,1,2]=>[1,6,4,5,3,2,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,3,8,6,7,4,2]=>[4,8,6,1,3,2,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,5,8,6,7,4,1]=>[6,7,4,1,3,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,3,2,8,1,4,7]=>[4,3,6,7,1,8,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,6,3,5,2,7,4]=>[1,8,3,6,4,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,6,8,3,2,5,1]=>[5,2,3,1,6,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,5,8,1,3,4,6]=>[7,2,4,1,8,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,1,3,7,5,2,6,4]=>[1,8,6,2,4,7,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,8,7,5,1,6,2]=>[6,5,1,2,4,8,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,3,8,1,4,2,5,7]=>[3,6,1,8,5,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,8,5,7,4,1,2]=>[3,6,1,4,2,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,6,8,5,1,3,2]=>[2,5,3,1,4,8,6,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,4,8,7,5,6,3]=>[7,8,5,1,2,4,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,5,8,2,6,4,3]=>[2,8,4,1,7,3,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,8,2,4,1,7,5]=>[6,3,1,7,5,8,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,2,6,7,3,1]=>[5,4,1,7,3,2,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,8,1,6,7,3,4]=>[4,7,1,8,3,2,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,8,4,6,7,3,1]=>[7,4,1,5,3,2,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,3,4,6,7,2,1]=>[4,1,6,5,3,2,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,2,8,1,6,7,3,5]=>[5,7,1,8,3,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,8,1,6,7,3,5]=>[7,5,1,8,3,2,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,8,2,6,7,3,4]=>[4,8,1,7,3,2,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,8,7,2,1,5,6]=>[6,5,1,2,7,8,4,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,5,3,6,4,2,1]=>[2,1,4,6,3,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,5,7,4,1,3,6]=>[7,1,4,2,5,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,4,1,6,7,2,3]=>[4,1,5,8,3,2,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,1,4,6,7,2,5]=>[6,1,8,5,3,2,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,2,3,4,6,7,1,5]=>[1,7,6,5,3,2,8,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,2,7,3,8,4,1,5]=>[3,7,2,6,1,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,6,2,5,4,1,7]=>[1,6,3,7,4,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,8,3,2,6,1,7]=>[4,5,1,6,7,3,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,8,2,3,1,5]=>[3,5,2,1,7,6,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,6,4,2,1,7]=>[4,1,6,3,5,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,4,3,2,8,7,5]=>[8,3,5,6,7,1,2,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,5,3,2,8,4,7,6]=>[8,4,6,7,1,5,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,8,6,4,1,2,5]=>[2,6,1,3,5,8,7,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,1,2,7,3,8,5,4]=>[3,8,7,2,6,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,7,4,3,8,6,5]=>[7,8,2,5,6,1,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,4,3,8,2,7,5]=>[3,8,5,6,1,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,3,2,8,7,4,6]=>[4,8,6,7,1,2,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,8,4,2,7,6,5,3]=>[8,1,5,7,2,3,4,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,8,3,7,2,6,5,4]=>[8,1,6,2,7,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,4,8,3,7,2,6]=>[4,8,5,1,6,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,8,5,4,7,3]=>[7,8,3,1,4,5,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,8,6,1,3,2,5]=>[2,5,1,3,8,6,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,6,1,2,5,3,8]=>[5,2,3,8,7,4,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,6,1,5,2,4,8]=>[6,2,3,8,4,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,8,3,2,7,6]=>[8,4,5,1,6,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,1,2,5,4,8]=>[2,6,3,8,7,4,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,7,1,3,2,6,8]=>[4,5,2,8,6,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,8,2,5,1,3,7]=>[5,3,1,7,4,8,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,6,2,1,5,3,8]=>[2,5,3,7,8,4,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,6,3,8,5,7,4]=>[8,7,3,6,1,4,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,6,8,4,7,3]=>[8,4,7,3,1,5,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,3,8,1,4,6]=>[4,2,7,6,1,8,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,4,7,5,8,1,2,3]=>[3,5,2,4,1,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,8,5,1,6,3,2]=>[2,5,1,4,8,3,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,6,4,8,7,5,3,2]=>[8,3,5,1,2,4,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,8,4,1,2,7,5,3]=>[3,1,5,8,7,2,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,8,1,2,6,4,3]=>[2,4,1,8,7,3,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,4,8,1,6,3,5,2]=>[2,5,1,8,3,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,2,1,7,3,6,4]=>[4,1,7,8,2,6,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,8,2,4,7,5]=>[6,3,8,1,7,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,8,7,6,2,5,4]=>[8,6,1,2,3,7,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,5,1,8,7,2,4,6]=>[6,4,8,1,2,7,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,1,8,3,7,2,5]=>[5,3,8,1,6,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,2,8,6,3,5]=>[5,2,8,7,1,3,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,4,1,7,6,2,3]=>[4,1,5,8,2,3,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,8,1,5,4,2,3]=>[2,3,1,8,4,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,5,8,6,4,3,2]=>[2,8,4,1,3,5,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,1,8,7,3,6,4,2]=>[4,8,1,2,6,3,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,8,7,6,2,5,3]=>[5,8,1,2,3,7,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,1,8,7,6,5,2,4]=>[6,8,1,2,3,4,7,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,6,4,5,2,3,7,8]=>[8,3,5,4,7,6,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,4,5,2,3,6,8]=>[8,2,5,4,7,6,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,3,5,2,4,6,8]=>[8,2,6,4,7,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,3,5,2,4,7,8]=>[8,3,6,4,7,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,3,4,2,5,7,8]=>[8,3,6,5,7,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,3,4,2,5,6,8]=>[8,2,6,5,7,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,6,7,3,4,2,5]=>[8,1,3,2,6,5,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,7,3,4,2,6]=>[8,1,4,2,6,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,4,2,6,5,8]=>[8,2,6,5,7,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,8,4,7,3,6]=>[8,4,7,1,5,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,8,5,7,3,6]=>[8,5,7,1,4,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,5,2,6,4,8]=>[8,2,6,4,7,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,7,3,5,2,6]=>[8,1,5,2,6,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,6,2,5,4,8]=>[8,2,6,3,7,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,6,2,4,5,8]=>[8,2,6,3,7,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,4,6,2,3,5,8]=>[8,2,5,3,7,6,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,5,6,2,3,4,7]=>[8,1,4,3,7,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,5,6,2,4,3,7]=>[8,1,4,3,7,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,8,5,6,4,7]=>[8,6,7,1,4,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,8,5,6,3,7]=>[8,5,7,1,4,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,8,4,6,3,7]=>[8,4,7,1,5,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,8,4,5,3,7]=>[8,3,7,1,5,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,4,5,3,6,7]=>[1,8,7,5,4,6,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,4,7,2,8,3,5]=>[8,3,5,2,7,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,7,3,5,8,2,6]=>[8,5,2,6,4,1,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,4,6,2,3,5,1,7]=>[1,5,3,7,6,4,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,8,2,3,6,1,7]=>[4,5,1,7,6,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,6,2,3,5,1,7]=>[5,1,3,7,6,4,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,5,3,4,8,2,6]=>[8,2,4,6,5,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,6,4,8,2,3,5]=>[8,2,3,5,1,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,7,4,1,2,3,6]=>[4,1,2,5,8,7,6,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,8,5,3,4,1,2,7]=>[3,1,4,6,5,8,7,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,7,2,1,4,5]=>[3,1,6,2,7,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,3,7,4,8,2,5]=>[3,8,6,2,5,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,3,5,8,2,6]=>[5,8,2,6,4,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,5,7,2,3,4,6]=>[8,1,4,2,7,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,5,8,2,3,4,7]=>[3,8,4,1,7,6,5,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,7,3,8,2,4,6]=>[4,8,2,6,1,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,5,7,8,2,3,4]=>[3,8,4,2,1,7,6,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,4,8,6,1,2,3,5]=>[2,5,1,3,8,7,6,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,8,7,5,1,2,4,6]=>[6,1,2,4,8,7,5,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,7,6,1,2,4,5,8]=>[6,2,3,8,7,5,4,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,7,6,1,2,3,5,8]=>[5,2,3,8,7,6,4,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,6,5,8,2,3,4,7]=>[8,3,4,1,7,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,5,8,4,1,2,3,7]=>[3,4,1,5,8,7,6,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,5,7,4,1,2,3,6]=>[1,4,2,5,8,7,6,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,5,7,4,8,2,3,6]=>[8,4,2,5,1,7,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,8,5,1,6,2,3]=>[2,5,1,4,8,3,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,2,8,6,3,4,5]=>[8,2,7,1,3,6,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,8,1,3,6,2,4]=>[2,4,1,8,6,3,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,8,7,2,3,5,6]=>[8,5,1,2,7,6,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,5,8,7,2,3,4,6]=>[8,4,1,2,7,6,5,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,1,3,8,2,4,6]=>[4,2,8,6,1,7,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,6,8,1,5,2,3,4]=>[2,3,1,8,4,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,5,8,6,2,3,4]=>[2,8,4,1,3,7,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,8,2,7,3,4,5]=>[3,8,1,7,2,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,8,7,2,3,5,6]=>[5,8,1,2,7,6,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,1,8,7,2,3,4,6]=>[4,8,1,2,7,6,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,8,7,6,4,5,3,2]=>[8,1,2,3,5,4,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,7,3,6,5,4,2]=>[8,1,2,6,3,4,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,1,5,8,3,4,2,6]=>[2,8,4,1,6,5,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,3,2,5,6,8]=>[2,8,5,6,7,4,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,4,1,7,5,8,3,6]=>[7,5,8,2,4,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,6,5,2,3,8]=>[2,8,5,3,4,7,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,4,6,5,8,2,3]=>[2,8,5,3,4,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,6,3,8,2,5]=>[2,8,5,3,6,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,3,2,5,8,6]=>[2,8,5,6,7,4,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,4,6,5,2,8,3]=>[2,8,5,3,4,7,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,4,6,5,3,8,2]=>[2,8,5,3,4,6,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,4,6,5,3,2,8]=>[2,8,5,3,4,6,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,7,2,6,8,5,1]=>[6,5,2,7,3,1,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,7,1,6,8,2,5]=>[6,5,2,8,3,1,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,7,1,6,8,5,2]=>[6,5,2,8,3,1,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,1,7,5,3,6,8]=>[7,5,8,2,4,6,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,1,7,8,6,2,5]=>[6,5,8,2,1,3,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,7,2,6,8,1,5]=>[6,5,2,7,3,1,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,7,3,6,8,2,1]=>[4,5,2,6,3,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,4,7,2,6,5,1,8]=>[6,5,2,7,3,4,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,3,2,5,6,1,7]=>[5,1,6,7,4,3,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,7,3,5,1,2,6]=>[5,1,2,6,4,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,7,1,3,5,2,6]=>[5,1,2,8,6,4,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,3,1,2,6,5,7]=>[5,1,6,8,7,3,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,7,1,6,2,5,8]=>[6,5,2,8,3,7,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,7,1,6,2,8,5]=>[6,5,2,8,3,7,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,7,2,6,5,8,1]=>[6,5,2,7,3,4,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,1,2,6,7,5]=>[5,1,6,8,7,3,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,1,6,3,4,2,7]=>[4,1,8,3,6,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,1,3,4,7,2]=>[3,1,4,8,6,5,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,3,4,2,6,7,1]=>[4,1,6,5,7,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,7,3,6,2,8,1]=>[4,5,2,6,3,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,7,2,6,1,8,3]=>[4,5,2,7,3,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,4,3,1,5,8,7]=>[3,7,5,6,8,4,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,7,4,1,5,2,6]=>[6,1,2,5,8,4,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,4,7,3,6,1,5,8]=>[7,5,2,6,3,8,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,3,2,1,6,4,7]=>[4,1,6,7,8,3,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,7,4,3,1,2,6]=>[4,1,2,5,6,8,7,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,4,7,3,6,2,1,8]=>[4,5,2,6,3,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,8,2,1,6,5,4]=>[2,6,1,7,8,3,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,3,8,7,5,1,6,2]=>[5,6,1,2,4,8,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,3,7,8,5,1,2,6]=>[5,6,2,1,4,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,7,8,4,1,2,6]=>[4,6,2,1,5,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,5,8,3,1,4,7]=>[3,7,4,1,6,8,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,4,8,3,1,5,7]=>[3,7,5,1,6,8,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,3,8,4,1,6,7]=>[4,7,6,1,5,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,8,7,4,1,6,2]=>[4,6,1,2,5,8,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,4,5,3,8,2,7,1]=>[3,5,4,6,1,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,6,3,8,2,5,1]=>[2,5,3,6,1,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,6,3,8,2,4,1]=>[2,4,3,6,1,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,6,3,7,2,4,1]=>[1,4,3,6,2,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,6,3,5,2,8,1]=>[2,5,3,6,4,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,6,3,5,2,7,1]=>[1,5,3,6,4,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,3,5,2,6,1]=>[1,5,2,6,4,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,3,4,2,6,1]=>[1,4,2,6,5,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,8,4,3,2,6,1]=>[2,4,1,5,6,7,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,5,8,4,3,2,7,1]=>[3,4,1,5,6,7,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,5,8,3,4,2,7,1]=>[3,4,1,6,5,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,8,3,4,2,6,1]=>[2,4,1,6,5,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,8,4,6,2,3,1]=>[2,4,1,5,3,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,8,3,6,2,5,1]=>[2,5,1,6,3,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,8,3,5,2,6,1]=>[2,5,1,6,4,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,8,3,5,2,7,1]=>[3,5,1,6,4,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,7,3,5,2,8,1]=>[3,5,2,6,4,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,3,7,2,6,1]=>[4,5,1,6,2,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,3,7,2,4,1]=>[3,4,1,6,2,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,4,7,2,3,1]=>[3,4,1,5,2,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,4,7,3,2,1]=>[3,4,1,5,2,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,4,7,3,8,2,5,1]=>[3,5,2,6,1,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,7,3,8,2,6,1]=>[4,5,2,6,1,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,3,8,2,7,1]=>[4,5,3,6,1,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,2,4,7,8,1]=>[4,6,3,7,5,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,3,6,1,4,8,7,2]=>[4,6,3,8,5,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,7,2,4,6,8,1]=>[4,6,2,7,5,3,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,7,3,1,4,8,2,5]=>[3,2,6,8,5,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,7,1,4,8,2,6]=>[4,6,2,8,5,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,7,1,8,4,3,6]=>[4,7,2,8,1,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,7,2,1,8,4,3,5]=>[3,2,7,8,1,5,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,2,1,8,4,5,3]=>[3,2,7,8,1,5,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,1,8,7,4,3]=>[4,7,3,8,1,2,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,2,6,1,8,7,3,4]=>[4,7,3,8,1,2,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,6,1,8,3,4,7]=>[4,7,3,8,1,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,3,1,5,8,2,4]=>[3,2,6,8,4,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,7,1,8,3,6,4]=>[4,7,2,8,1,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,2,1,8,3,5,4]=>[3,2,7,8,1,6,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,1,8,3,4,6]=>[4,7,2,8,1,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,8,6,2,5,3,1]=>[2,5,1,3,7,4,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,3,8,6,2,4,5,1]=>[2,6,1,3,7,5,4,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,8,5,2,4,6,1]=>[2,6,1,4,7,5,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,8,4,5,6,2,1]=>[2,6,1,5,4,3,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,3,8,2,4,5,1,7]=>[3,6,1,7,5,4,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,8,2,5,7,4,1]=>[3,6,1,7,4,2,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,3,7,8,2,4,1,5]=>[3,6,2,1,7,5,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,7,3,8,2,4,1]=>[4,3,2,6,1,7,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,2,6,8,1,3]=>[4,5,2,7,3,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,8,2,4,6,7,1]=>[4,6,1,7,5,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,3,8,2,4,7,5,1]=>[3,6,1,7,5,2,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,4,8,2,7,5,1,3]=>[3,5,1,7,2,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,4,2,6,1,3,8]=>[4,2,5,7,3,8,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,4,2,3,8,1,7]=>[4,3,5,7,6,1,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,3,7,8,2,4,1]=>[4,3,6,2,1,7,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,8,2,4,7,1]=>[4,3,6,1,7,5,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,2,4,5,1,8]=>[3,6,2,7,5,4,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,7,2,5,8,4,1]=>[3,6,2,7,4,1,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,6,8,2,4,7,1]=>[4,6,3,1,7,5,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,6,2,3,8,1,7]=>[4,5,3,7,6,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,6,7,8,2,4,1]=>[4,6,3,2,1,7,5,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,2,1,5,8,7]=>[6,3,5,7,8,4,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,5,8,6,4,2,1,7]=>[6,4,1,3,5,7,8,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,8,6,3,4,2,1,7]=>[4,1,3,6,5,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,4,2,1,8,7]=>[4,3,6,5,7,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,4,2,1,5,8,7]=>[3,6,5,7,8,4,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,4,2,1,3,8,7]=>[4,3,5,7,8,6,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,4,1,7,8,6,3]=>[7,4,5,8,2,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,8,5,4,1,6,3]=>[7,2,1,4,5,8,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,8,5,4,1,6,3,7]=>[7,1,4,5,8,3,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,6,3,8,5,4,1,7]=>[7,3,6,1,4,5,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,6,3,5,4,1,7]=>[7,1,3,6,4,5,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,6,4,2,1,3,7]=>[4,1,3,5,7,8,6,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,7,8,6,3,5,4,1]=>[7,2,1,3,6,4,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,8,5,7,6,2,1]=>[5,6,1,4,2,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,1,8,5,6,4,3,7]=>[7,8,1,4,3,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,6,3,8,4,1,7]=>[7,4,3,6,1,5,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,2,1,8,5,7]=>[3,6,5,7,8,1,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,8,5,6,4,2,1]=>[6,2,1,4,3,5,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,8,5,6,4,2,1,7]=>[6,1,4,3,5,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,4,2,1,8,5,7]=>[6,3,5,7,8,1,4,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,6,4,2,1,5,7]=>[6,1,3,5,7,8,4,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,7,8,6,4,2,1,5]=>[6,2,1,3,5,7,8,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,1,7,8,6,4,3,5]=>[7,8,2,1,3,5,6,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,6,4,3,7,8,5]=>[7,8,3,5,6,2,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,7,8,4,2,1,5]=>[3,6,2,1,5,7,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,4,2,1,6,3,5]=>[2,1,5,7,8,3,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,2,3,8,4,1]=>[4,2,3,7,6,1,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,8,4,3,7,5]=>[7,3,8,1,5,6,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,1,7,5,8,4,3]=>[7,3,8,2,4,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,5,7,6,2,1,4,3]=>[1,4,2,3,7,8,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,5,7,6,2,1,3]=>[5,1,4,2,3,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,6,2,1,3,8,5]=>[5,2,3,7,8,6,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,5,6,1,8,4,2,3]=>[2,4,3,8,1,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,5,8,4,3,6,1]=>[7,2,4,1,5,6,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,4,3,6,1,7,5]=>[7,1,5,6,3,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,7,8,3,2,1,5]=>[3,5,2,1,6,7,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,7,2,5,4,1,8]=>[3,6,2,7,4,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,3,7,4,2,8,6]=>[8,4,6,2,5,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,7,3,4,2,8,5]=>[8,3,2,6,5,7,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,6,3,4,2,8,5]=>[8,2,3,6,5,7,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,6,3,2,5,7,4]=>[8,1,3,6,7,4,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,5,2,1,4,6,3]=>[2,1,4,7,8,5,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,8,5,2,3,1,7,4]=>[3,1,4,7,6,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,6,2,3,1,7,4]=>[4,1,3,7,6,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,2,6,3,1,7,5]=>[5,1,7,3,6,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,8,6,4,1,7,5]=>[6,7,1,3,5,8,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,1,3,7,5,2,8,6]=>[5,8,6,2,4,7,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,3,4,2,8,6]=>[4,8,2,6,5,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,3,2,5,8,4]=>[2,8,3,6,7,4,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,2,7,4,3,6,8,5]=>[8,7,2,5,6,3,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,1,8,2,4,5,7,3]=>[3,8,1,7,5,4,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,8,3,2,6,7,4]=>[4,8,1,6,7,3,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,8,7,1,5,6,4]=>[6,7,1,2,8,4,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,2,7,1,5,6,3]=>[5,1,7,2,8,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,7,2,1,4,6,3]=>[4,1,2,7,8,5,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,8,7,1,3,4,5,2]=>[3,1,2,8,6,5,4,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,6,1,3,4,5,2]=>[2,1,3,8,6,5,4,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,8,2,4,5,6,3]=>[8,2,1,7,5,4,3,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [8,6,7,1,3,4,5,2]=>[1,3,2,8,6,5,4,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,6,8,1,3,4,5,2]=>[2,3,1,8,6,5,4,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,5,8,2,3,1,7,4]=>[3,4,1,7,6,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,8,3,2,5,7,4]=>[8,3,1,6,7,4,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,2,3,1,6,8,7]=>[5,4,7,6,8,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,3,2,4,7,8,6]=>[8,4,6,7,5,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,3,4,2,8,7]=>[4,3,8,6,5,7,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,1,5,3,8,7]=>[5,3,7,8,4,6,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,1,3,6,8,5]=>[5,2,7,8,6,3,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,1,3,2,6,8,4]=>[4,2,8,6,7,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,1,2,4,5,8,3]=>[3,2,8,7,5,4,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,8,2,3,5,6,7,4]=>[8,1,7,6,4,3,2,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,8,1,2,4,5,6,3]=>[2,1,8,7,5,4,3,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,8,1,3,2,6,7,4]=>[4,1,8,6,7,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,2,1,3,6,7,5]=>[5,1,7,8,6,3,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,3,2,5,7,8,6]=>[5,8,6,7,4,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,2,4,3,7,8,6]=>[4,8,7,5,6,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,8,1,2,3,7,6]=>[4,5,1,8,7,6,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,4,7,6,3,2,5,8]=>[8,5,2,3,6,7,4,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,8,3,2,7,6,1,5]=>[5,1,6,7,2,3,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,7,3,6,2,5,8]=>[8,5,2,6,3,7,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,8,3,7,2,5,6]=>[5,8,1,6,2,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,8,7,3,2,5,6]=>[5,8,1,2,6,7,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,7,8,1,2,5,3,6]=>[5,2,1,8,7,4,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,7,6,2,1,8,5]=>[6,5,2,3,7,8,1,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,4,2,7,1,6,8,5]=>[6,5,7,2,8,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,6,7,4,1,8,5]=>[7,6,3,2,5,8,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,3,4,7,8,1,5]=>[7,3,6,5,2,1,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,6,7,8,3,4,1,5]=>[7,3,2,1,6,5,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,1,7,8,4,2,5,6]=>[6,8,2,1,5,7,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,3,2,8,7,5,6]=>[5,8,6,7,1,2,4,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,8,2,6,4,1,5]=>[6,2,1,7,3,5,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,3,8,1,6,7,5]=>[5,7,6,1,8,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,6,7,4,2,5,8]=>[8,6,3,2,5,7,4,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,2,8,6,3,1,7,5]=>[5,7,1,3,6,8,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,7,2,4,8,6,1,5]=>[6,2,7,5,1,3,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,7,4,8,1,6,5]=>[6,7,2,5,1,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,3,6,4,7,2,5,8]=>[8,6,3,5,2,7,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,7,1,8,6,5]=>[6,7,5,2,8,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,4,2,6,8,1,5]=>[6,2,5,7,3,1,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,6,2,8,1,5]=>[6,2,5,3,7,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,5,8,2,3,6]=>[5,2,8,4,1,7,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,7,6,4,8,2,1,5]=>[6,2,3,5,1,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,7,4,8,2,5,6]=>[6,8,2,5,1,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,7,3,8,4,1,5]=>[7,3,2,6,1,5,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,8,5,6,3,2,1]=>[2,5,1,4,3,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,6,7,8,5,1,2]=>[6,5,3,2,1,4,8,7]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,6,4,7,5,8,3]=>[8,7,3,5,2,4,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,5,4,2,6,8]=>[6,8,2,4,5,7,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,3,8,5,4,7,1,2]=>[3,6,1,4,5,2,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,2,5,4,7,8,3]=>[8,3,7,4,5,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,2,5,6,3,7,4]=>[8,1,7,4,3,6,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,4,8,5,7,3]=>[8,7,3,5,1,4,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,3,1,4,2,5,6]=>[2,1,6,8,5,7,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,1,5,2,3,6,7]=>[5,1,8,4,7,6,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,6,1,8,4,3,2,7]=>[4,3,8,1,5,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,8,6,4,3,2,7]=>[4,8,1,3,5,6,7,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,1,6,3,8,7,2,4]=>[4,8,3,6,1,2,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,2,5,8,3,7,4]=>[3,8,7,4,1,6,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,7,4,3,2,5]=>[3,8,1,2,5,6,7,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,1,2,5,4,8,6,3]=>[2,8,7,4,5,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,7,5,8,3,6,4]=>[8,7,2,4,1,6,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,3,7,5,2,8]=>[5,8,3,6,2,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,3,6,7,8,5,2,4]=>[8,6,3,2,1,4,7,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,6,4,7,8,5,3]=>[8,7,3,5,2,1,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,6,3,7,8,2,5]=>[5,8,3,6,2,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,6,4,8,2,7,5]=>[6,8,3,5,1,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,4,1,6,3,2,5]=>[2,1,5,8,3,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,3,8,7,2,5]=>[5,8,3,6,1,2,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,8,5,2,3,7,6]=>[5,8,1,4,7,6,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,6,8,3,7,2,5]=>[5,8,3,1,6,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,1,3,8,2,7]=>[4,5,3,8,6,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,8,1,4,3,2,7]=>[3,4,1,8,5,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,3,5,7,6,8,2,4]=>[8,6,4,2,3,1,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,7,6,2,8,4]=>[8,6,4,2,3,7,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,5,7,2,6,8,4]=>[8,6,4,2,7,3,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,5,2,7,6,4,8]=>[8,6,4,7,2,3,5,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,5,7,6,2,4,8]=>[8,6,4,2,3,7,5,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,5,7,4,6,8,2]=>[8,6,4,2,5,3,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,5,7,4,6,2,8]=>[8,6,4,2,5,3,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,7,4,2,6,8]=>[8,6,4,2,5,7,3,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,5,4,7,2,6,8]=>[8,6,4,5,2,7,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,5,4,7,8,2,6]=>[8,6,4,5,2,1,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,5,4,7,2,8,6]=>[8,6,4,5,2,7,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,7,4,2,8,6]=>[8,6,4,2,5,7,1,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,5,7,4,8,2,6]=>[8,6,4,2,5,1,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,5,7,4,8,6,2]=>[8,6,4,2,5,1,3,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,5,7,8,4,6,2]=>[8,6,4,2,1,5,3,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,5,7,8,4,2,6]=>[8,6,4,2,1,5,7,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,5,2,7,8,6,4]=>[8,6,4,7,2,1,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,5,7,2,8,6,4]=>[8,6,4,2,7,1,3,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,3,5,7,8,2,6,4]=>[8,6,4,2,1,7,3,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,6,3,2,7,4,8,5]=>[8,3,6,7,2,5,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,6,2,8,7,4]=>[6,4,8,3,7,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,7,2,5,4,8,6]=>[8,6,2,7,4,5,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,7,4,3,8,5]=>[7,3,8,2,5,6,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,7,5,2,4,8,6]=>[8,6,2,4,7,5,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,3,7,4,8,1,6]=>[7,4,6,2,5,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,7,2,3,8,6,5]=>[8,5,2,7,6,1,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,7,3,1,8,6,5]=>[7,5,2,6,8,1,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,4,6,3,8,2,7,5]=>[8,5,3,6,1,7,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,2,8,7,6,4]=>[8,6,4,7,1,2,3,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,7,3,8,2,6,5]=>[8,5,2,6,1,7,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,7,8,4,6,3]=>[7,4,8,2,1,5,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,7,8,1,5,4]=>[6,7,3,2,1,8,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,7,8,4,1,6]=>[6,4,7,2,1,5,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,4,8,3,2,6]=>[8,4,2,5,1,6,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,1,6,8,4,7,3]=>[7,4,8,3,1,5,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,1,7,8,3,5]=>[5,3,7,8,2,1,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,6,8,4,7,1]=>[6,4,7,3,1,5,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,6,8,7,1,3]=>[7,4,5,3,1,2,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,6,2,8,7,5,4]=>[8,6,3,7,1,2,4,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,6,3,8,7,2,5]=>[8,5,3,6,1,2,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,7,4,3,8,6,1]=>[7,4,2,5,6,1,3,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,7,2,4,8,6,3]=>[8,4,2,7,5,1,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,3,7,2,8,5,1]=>[5,3,6,2,7,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,7,8,2,5,1]=>[5,6,3,2,1,7,4,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,3,8,6,2,5]=>[8,5,2,6,1,3,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,7,2,8,6,5,4]=>[8,6,2,7,1,3,4,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,1,6,8,2,4,3,7]=>[4,8,3,1,7,5,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,8,2,4,1,6]=>[4,6,2,1,7,5,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,4,7,3,1,5,6]=>[1,7,5,2,6,8,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,7,8,3,1,5,6]=>[7,5,2,1,6,8,4,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,2,4,3,8,1,6,7]=>[4,7,5,6,1,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,4,8,1,5,6,7]=>[6,7,5,1,8,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,4,6,8,1,5,7]=>[6,7,5,3,1,8,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,5,7,3,2,4,6]=>[1,8,4,2,6,7,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,6,7,2,3,1,5]=>[1,5,3,2,7,6,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,7,8,2,3,1,5]=>[5,3,2,1,7,6,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,4,6,8,2,3,1,5]=>[2,5,3,1,7,6,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,8,3,1,5,6]=>[2,7,5,1,6,8,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,8,7,2,4,1,6]=>[4,6,1,2,7,5,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,8,7,3,1,5,6]=>[7,5,1,2,6,8,4,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,6,8,7,2,3,1,5]=>[5,3,1,2,7,6,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,8,7,2,3,1,4]=>[4,3,1,2,7,6,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,4,8,7,2,3,1,5]=>[3,5,1,2,7,6,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,7,4,2,8,6,5]=>[6,8,2,5,7,1,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,8,4,1,7,6,5]=>[6,7,1,5,8,2,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,7,6,8,2,3,1,4]=>[4,2,3,1,7,6,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,6,8,2,3,1,5]=>[5,2,3,1,7,6,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,3,7,4,1,6,5]=>[1,7,6,2,5,8,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,7,8,4,1,6,5]=>[7,6,2,1,5,8,3,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,7,4,8,2,5,1,6]=>[6,2,5,1,7,4,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,7,4,1,6,8,5]=>[7,6,2,5,8,3,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,1,6,4,2,3,7,5]=>[1,8,3,5,7,6,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,7,8,6,2,3,1,5]=>[5,2,1,3,7,6,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,7,3,1,5,8,6]=>[7,5,2,6,8,4,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,5,7,6,2,3,1,4]=>[1,4,2,3,7,6,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,5,8,6,2,3,1,4]=>[2,4,1,3,7,6,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,6,4,2,3,8,5]=>[2,8,3,5,7,6,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,7,6,4,2,8,5]=>[6,8,2,3,5,7,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,7,6,2,3,1,5]=>[5,1,2,3,7,6,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,8,7,5,2,3,1,4]=>[3,1,2,4,7,6,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,3,6,1,5,8,7,2]=>[5,6,3,8,4,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,3,6,5,1,8,7,2]=>[5,6,3,4,8,1,2,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,3,5,1,8,7,2]=>[5,3,6,4,8,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,3,1,5,8,7,2]=>[5,3,6,8,4,1,2,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,6,5,3,8,7,2]=>[5,8,3,4,6,1,2,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,1,5,3,8,7,2]=>[5,3,8,4,6,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,5,3,1,8,7,4]=>[7,3,4,6,8,1,2,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,6,5,1,8,7,3,4]=>[7,3,4,8,1,2,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,8,1,7,3,4]=>[7,3,4,1,8,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,8,1,3,7,4]=>[7,3,4,1,8,6,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,5,8,3,1,7,4]=>[7,3,4,1,6,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,5,3,8,1,7,4]=>[7,3,4,6,1,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,5,8,3,7,2]=>[5,3,8,4,1,6,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,5,8,3,7,2]=>[5,8,3,4,1,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,6,5,8,3,7,2]=>[8,5,3,4,1,6,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,5,8,7,3,2]=>[5,8,3,4,1,2,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,6,5,3,8,7,1,4]=>[7,3,4,6,1,2,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,8,3,7,1,5,2]=>[3,5,1,6,2,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,8,5,3,7,1,4]=>[7,3,1,4,6,2,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,8,1,5,7,3,2]=>[5,3,1,8,4,2,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,8,5,7,3,2]=>[5,3,8,1,4,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,8,5,7,3,2]=>[5,8,3,1,4,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,6,8,5,7,3,2]=>[8,5,3,1,4,2,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,6,8,5,3,7,2]=>[8,5,3,1,4,6,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,1,8,5,3,7,2]=>[5,3,8,1,4,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,8,5,3,1,7,4]=>[7,3,1,4,6,8,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,8,5,1,7,3,4]=>[7,3,1,4,8,2,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,8,3,5,1,7,2]=>[5,3,1,6,4,8,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,8,3,1,5,7,2]=>[5,3,1,6,8,4,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,3,1,8,5,7,2]=>[5,3,6,8,1,4,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,8,1,5,7,2]=>[5,3,6,1,8,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,3,8,5,7,1,2]=>[5,3,6,1,4,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,8,1,5,7,2]=>[5,6,3,1,8,4,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,1,8,5,7,2]=>[5,6,3,8,1,4,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,3,6,8,7,5,2]=>[5,8,6,3,1,2,4,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,3,6,1,8,7,5,2]=>[5,6,3,8,1,2,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,3,6,8,1,7,5,2]=>[5,6,3,1,8,2,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,5,8,7,1,3,4]=>[3,7,4,1,2,8,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,5,8,7,3,1,4]=>[3,7,4,1,2,6,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,3,8,1,7,5,2]=>[5,3,6,1,8,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,3,1,8,7,5,2]=>[5,3,6,8,1,2,4,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,1,6,3,8,7,5,2]=>[5,8,3,6,1,2,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,4,6,3,8,7,5,2]=>[8,5,3,6,1,2,4,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,1,6,8,3,7,5,2]=>[5,8,3,1,6,2,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,1,8,3,7,5,2]=>[5,3,8,1,6,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,8,1,3,7,5,2]=>[5,3,1,8,6,2,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,8,5,7,3,1,4]=>[3,7,1,4,2,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,8,5,7,1,3,4]=>[3,7,1,4,2,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,8,7,1,5,3,6]=>[7,5,1,2,8,4,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,8,7,5,3,1,6]=>[5,7,1,2,4,6,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,1,4,8,7,5,3,2]=>[3,8,5,1,2,4,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,6,4,8,7,3,5,2]=>[8,3,5,1,2,6,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,8,7,5,1,3,6]=>[5,7,1,2,4,8,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,4,8,7,3,5,1,6]=>[7,5,1,2,6,4,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,4,7,1,8,6,5]=>[7,6,5,2,8,1,3,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,4,7,8,5,6,1]=>[7,6,5,2,1,4,3,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,6,7,4,8,5,1]=>[7,6,3,2,5,1,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,6,3,7,8,1,4]=>[7,4,3,6,2,1,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,7,1,4,8,6,5]=>[7,6,2,8,5,1,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,3,7,8,5,4]=>[7,3,8,6,2,1,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,5,6,7,4,8,1,3]=>[7,4,3,2,5,1,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,8,4,5,6,1]=>[7,6,2,1,5,4,3,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,7,3,4,8,5,1]=>[7,3,2,6,5,1,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,3,2,6,4,7,8]=>[8,4,6,7,3,5,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,2,6,7,4,8]=>[8,4,6,7,3,2,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,3,2,8,5,4,6]=>[8,2,6,7,1,4,5,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,2,5,8,4,6]=>[8,2,6,7,4,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,7,5,4,8,6]=>[8,6,7,2,4,5,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,6,2,3,1,8]=>[4,5,2,3,7,6,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,4,8,2,1,5,7]=>[6,3,5,1,7,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,2,8,5,3,4,7]=>[8,3,7,1,4,6,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,2,3,7,5,1,8]=>[5,3,7,6,2,4,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,2,3,6,5,1,8]=>[5,2,7,6,3,4,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,2,3,5,6,1,8]=>[5,2,7,6,4,3,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,6,2,3,5,7,1,8]=>[5,3,7,6,4,2,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,1,6,8,4,7]=>[6,4,7,8,3,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,6,8,4,3,7]=>[8,4,7,3,1,5,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,2,8,4,3,6]=>[8,4,2,7,1,5,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,2,1,8,6,4,7]=>[6,4,7,8,1,3,5,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,8,4,2,1,5,7]=>[6,3,1,5,7,8,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,5,8,2,7,4,3,6]=>[8,4,1,7,2,5,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,2,3,4,8,6,5]=>[8,2,7,6,5,1,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,8,2,3,4,1,7,5]=>[3,1,7,6,5,8,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,8,2,3,5,7,6]=>[5,8,1,7,6,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,3,1,8,4,5,7,6]=>[7,6,8,1,5,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,1,4,3,5,2,6]=>[2,1,8,5,6,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,2,3,4,6,8,5]=>[2,8,7,6,5,3,1,4]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,1,2,3,4,8,7,5]=>[3,8,7,6,5,1,2,4]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,8,2,3,4,7,6,5]=>[8,1,7,6,5,2,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,1,2,3,4,6,7,5]=>[1,8,7,6,5,3,2,4]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,8,1,3,5,4,7,6]=>[7,1,8,6,4,5,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,1,5,6,4,7]=>[6,1,7,8,4,3,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,2,1,6,5,4,7]=>[6,1,7,8,3,4,5,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,8,3,5,4,2,6]=>[8,2,1,6,4,5,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,4,6,2,1,5,7]=>[6,1,5,3,7,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,2,4,1,8,6,7]=>[6,4,7,5,8,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,7,8,1,5,3,6]=>[7,5,2,1,8,4,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,8,7,3,5,4,2,6]=>[8,1,2,6,4,5,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,2,7,4,3,6]=>[4,8,1,7,2,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,7,2,8,4,3,6]=>[4,8,2,7,1,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,2,8,5,3,4,7]=>[3,8,7,1,4,6,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,4,3,5,1,6]=>[7,2,1,5,6,4,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,8,3,5,4,2,6]=>[2,8,1,6,4,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,8,2,3,4,6,1,5]=>[2,1,7,6,5,3,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,3,4,8,2,5]=>[3,2,8,6,5,1,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,8,1,3,4,7,2,5]=>[3,1,8,6,5,2,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,3,4,6,8,5]=>[8,2,7,6,5,3,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,6,2,3,4,8,7,5]=>[8,3,7,6,5,1,2,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,1,7,3,5,4,2,6]=>[1,8,2,6,4,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,7,2,3,4,1,8,5]=>[3,2,7,6,5,8,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,8,7,5,1,2]=>[3,6,5,1,2,4,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,8,7,3,5,6,1,2]=>[5,1,2,6,4,3,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,7,5,3,6,1,2]=>[5,1,2,4,6,3,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,7,3,4,6,1,2]=>[4,1,2,6,5,3,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,4,2,1,6,7,3]=>[4,1,5,7,8,3,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,4,1,2,6,7,3]=>[4,1,5,8,7,3,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,3,7,2,6,1,8,4]=>[4,6,2,7,3,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,8,1,6,3,7,4]=>[4,7,1,8,3,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,2,1,4,7,6,3]=>[4,1,7,8,5,2,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,2,5,1,7,6,3]=>[5,1,7,4,8,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,4,1,2,6,5,3]=>[2,1,5,8,7,3,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,1,5,2,7,6,3]=>[5,1,8,4,7,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,1,2,4,7,6,3]=>[4,1,8,7,5,2,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,8,3,6,7,1,4]=>[4,7,1,6,3,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,7,6,2,4,1,5]=>[6,1,2,3,7,5,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,7,6,4,1,3,5]=>[7,1,2,3,5,8,6,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,8,2,6,5,1,3,4]=>[2,1,7,3,4,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,7,6,4,2,3,5]=>[8,1,2,3,5,7,6,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,8,7,6,3,1,4,5]=>[7,1,2,3,6,8,5,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,8,7,6,2,4,3,5]=>[8,1,2,3,7,5,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,7,6,3,4,2,5]=>[8,1,2,3,6,5,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,1,4,5,6,7,3]=>[7,1,8,5,4,3,2,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,7,3,6,5,8,4]=>[7,8,2,6,3,4,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,7,2,6,5,8,4]=>[6,8,2,7,3,4,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,7,1,6,5,8,4]=>[6,7,2,8,3,4,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,2,8,5,7,3,4]=>[3,8,7,1,4,2,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,8,5,2,7,4]=>[3,8,6,1,4,7,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,7,1,6,8,5,4]=>[7,6,2,8,3,1,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,7,2,6,8,5,4]=>[8,6,2,7,3,1,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,2,6,5,3,1,4]=>[2,1,7,3,4,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,6,7,5,8,1,4]=>[6,7,3,2,4,1,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,7,5,6,3,8,4]=>[8,7,2,4,3,6,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,7,6,4,3,1,5]=>[7,1,2,3,5,6,8,4]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [3,8,7,6,1,2,5,4]=>[6,1,2,3,8,7,4,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,7,6,2,1,5,4]=>[6,1,2,3,7,8,4,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,8,7,6,2,1,3,5]=>[5,1,2,3,7,8,6,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [4,8,7,6,1,3,2,5]=>[5,1,2,3,8,6,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,7,6,4,1,2,5]=>[6,1,2,3,5,8,7,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,8,3,6,5,1,2,4]=>[2,1,6,3,4,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,7,5,6,8,1,4]=>[7,6,2,4,3,1,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,7,6,4,2,1,5]=>[6,1,2,3,5,7,8,4]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [5,1,4,6,8,2,3,7]=>[4,8,5,3,1,7,6,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,6,3,5,4,8,2]=>[8,2,3,6,4,5,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,7,2,6,5,1,8]=>[5,6,2,7,3,4,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,6,1,5,7,2,8]=>[6,5,3,8,4,2,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,8,5,7,3,4,2]=>[8,3,1,4,2,6,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,5,8,6,3,7]=>[7,5,8,4,1,3,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,2,5,8,3,7]=>[5,3,8,7,4,1,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,7,2,1,4,8,3]=>[4,3,2,7,8,5,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,8,6,5,1,2,4,3]=>[2,1,3,4,8,7,5,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,3,6,5,7,8,2,4]=>[8,6,3,4,2,1,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,8,5,3,1,6,2]=>[2,5,1,4,6,8,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,8,5,2,4,1,7,3]=>[3,1,4,7,5,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,6,8,5,7,4]=>[7,6,8,3,1,4,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,2,3,6,8,5]=>[2,8,5,7,6,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,5,8,3,4,6,7,2]=>[8,4,1,6,5,3,2,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,8,1,6,5,4,7]=>[7,6,1,8,3,4,5,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,4,7,2,5,3,6]=>[1,8,5,2,7,4,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,4,1,7,8,6]=>[6,4,7,5,8,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,7,8,6,2,1,5]=>[6,5,2,1,3,7,8,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,4,8,6,2,7,1,5]=>[6,5,1,3,7,2,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,8,2,1,6,7,3,4]=>[4,1,7,8,3,2,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,8,6,4,3,1]=>[4,2,7,1,3,5,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,1,2,7,5,3,8,4]=>[3,8,7,2,4,6,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,8,4,6,3,1,5]=>[7,2,1,5,3,6,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,5,7,2,6,8,3]=>[8,5,4,2,7,3,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [7,3,5,2,6,1,8,4]=>[2,6,4,7,3,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,3,5,7,2,4]=>[1,8,3,6,4,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,6,4,3,7,1,5]=>[7,1,3,5,6,2,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,3,8,7,6,5,1,4]=>[7,6,1,2,3,4,8,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,2,8,7,3,6,5,4]=>[8,7,1,2,6,3,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,2,8,7,3,6,1,5]=>[5,7,1,2,6,3,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,8,7,1,2,6,3]=>[5,4,1,2,8,7,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,8,7,3,2,6,4]=>[8,4,1,2,6,7,3,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,5,8,7,3,2,1,6]=>[5,4,1,2,6,7,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,6,8,1,7,5,4,3]=>[7,3,1,8,2,4,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,8,4,7,2,1,5]=>[6,3,1,5,2,7,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,8,3,7,6,1,4]=>[7,4,1,6,2,3,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,8,4,7,6,1,5]=>[6,7,1,5,2,3,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,8,3,7,2,6,4]=>[8,4,1,6,2,7,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,4,7,2,1,6]=>[6,4,1,5,2,7,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,2,3,7,1,4]=>[4,3,1,7,6,2,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,8,4,2,7,5,3]=>[8,3,1,5,7,2,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,8,2,3,7,6,4]=>[8,4,1,7,6,2,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,1,8,4,3,7,6,5]=>[7,8,1,5,6,2,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,5,8,4,3,7,1,6]=>[7,4,1,5,6,2,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,8,1,3,2,7,4]=>[4,3,1,8,6,7,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,4,3,2,7,5]=>[8,3,1,5,6,7,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,6,8,4,3,2,1,7]=>[4,3,1,5,6,7,8,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,1,2,8,6,5,4,3]=>[2,8,7,1,3,4,5,6]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,1,4,8,6,2,5,3]=>[2,8,5,1,3,7,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,4,8,3,6,1,5]=>[2,7,5,1,6,3,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,8,3,2,6,5]=>[2,8,5,1,6,7,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,8,3,2,1,6]=>[2,5,4,1,6,7,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,2,8,7,5,4,3]=>[8,3,7,1,2,4,5,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,6,4,8,7,2,5,3]=>[8,3,5,1,2,7,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,4,8,7,2,1,5]=>[6,3,5,1,2,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,5,8,7,6,1,4]=>[6,7,4,1,2,3,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,4,8,7,6,1,5]=>[6,7,5,1,2,3,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,5,8,7,2,6,4]=>[6,8,4,1,2,7,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,4,8,7,2,6,5]=>[6,8,5,1,2,7,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,4,8,2,7,5,3]=>[8,3,5,1,7,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,5,8,2,7,6,3]=>[8,5,4,1,7,2,3,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,5,8,3,7,1,6]=>[7,5,4,1,6,2,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,5,8,1,2,7,3]=>[5,3,4,1,8,7,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,8,3,2,7,5]=>[8,3,5,1,6,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,5,8,3,2,7,6]=>[8,5,4,1,6,7,2,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,2,5,1,8,6,4,3]=>[2,7,4,8,1,3,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,2,5,3,8,6,1,4]=>[2,7,4,6,1,3,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,4,8,2,1,6]=>[2,6,4,5,1,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,5,1,8,7,4,3]=>[7,3,4,8,1,2,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,5,4,8,7,1,6]=>[7,6,4,5,1,2,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,5,4,8,2,7,3]=>[8,3,4,5,1,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,3,8,2,7,4]=>[8,3,4,6,1,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,4,8,2,7,6]=>[8,6,4,5,1,7,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,4,8,2,1,7]=>[6,3,4,5,1,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,4,2,8,6,3]=>[2,8,4,5,7,1,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,2,4,3,8,6,5]=>[2,8,7,5,6,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,5,4,3,8,1,7]=>[7,3,4,5,6,1,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,5,4,3,2,8,6]=>[2,8,4,5,6,7,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,1,4,2,6,8,7,5]=>[6,8,5,7,3,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,4,2,6,1,7,5]=>[1,6,5,7,3,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,1,2,8,5,3,6]=>[5,2,8,7,1,4,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,1,2,7,5,3,6]=>[5,1,8,7,2,4,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,3,7,5,4,8]=>[7,8,3,6,2,4,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,1,3,6,8,4,5]=>[7,2,8,6,3,1,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,2,8,1,4,5]=>[3,2,6,7,1,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,4,2,6,1,8,5]=>[2,6,5,7,3,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,4,1,5,8,3,2]=>[3,2,5,8,4,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,5,1,6,8,3,2]=>[5,2,4,8,3,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,3,1,7,6,8,2]=>[5,4,6,8,2,3,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,2,7,5,3,8]=>[5,3,8,7,2,4,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,3,6,5,4,8]=>[7,2,8,6,3,4,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,8,2,6,5,3,7]=>[5,8,1,7,3,4,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,3,1,8,6,7,2]=>[5,4,6,8,1,3,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,8,2,1,5,3,7]=>[3,5,1,7,8,4,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,3,2,5,1,4,7]=>[3,1,6,7,4,8,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,1,4,6,8,3,2]=>[4,2,8,5,3,1,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,7,5,4,1,8,3,2]=>[3,2,4,5,8,1,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,2,7,6,5,4,1,3]=>[1,7,2,3,4,5,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,2,8,6,5,4,3,1]=>[2,7,1,3,4,5,6,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [3,2,8,7,6,5,1,4]=>[6,7,1,2,3,4,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,8,7,6,5,3,1,2]=>[5,1,2,3,4,6,8,7]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,8,6,1,5,4,3,2]=>[2,1,3,8,4,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,3,8,6,5,4,2,1]=>[2,6,1,3,4,5,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [4,8,5,7,6,3,2,1]=>[5,1,4,2,3,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,8,7,4,6,5,2,1]=>[6,1,2,5,3,4,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,7,6,3,5,4,1]=>[7,1,2,3,6,4,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,5,6,1,3,2,4,7]=>[1,4,3,8,6,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,1,5,3,2,4,6]=>[2,1,8,4,6,7,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,7,5,3,2,4,6]=>[1,8,2,4,6,7,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,4,6,1,5,2,3,7]=>[1,5,3,8,4,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,2,1,5,4,3,6]=>[2,1,7,8,4,5,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,3,1,5,2,4,6]=>[2,1,6,8,4,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,7,5,1,3,4,6]=>[1,7,2,4,8,6,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,2,7,1,5,4,3,6]=>[1,7,2,8,4,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,6,1,7,4,3,5]=>[1,7,3,8,2,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,7,4,3,2,6,5]=>[1,8,2,5,6,7,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,5,7,3,2,6,4]=>[1,8,4,2,6,7,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,8,1,3,2,6,4]=>[4,2,1,8,6,7,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,6,1,5,7,3,4]=>[1,7,3,8,4,2,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,1,6,7,2,3,4]=>[4,1,8,3,2,7,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,6,1,8,2,3,4]=>[4,2,3,8,1,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,5,1,8,3,4]=>[3,2,7,4,8,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,1,8,2,3,4]=>[3,4,2,8,1,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,3,8,1,2,4,5]=>[3,2,6,1,8,7,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,1,6,4,7,2,3,5]=>[1,8,3,5,2,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,8,1,3,2,4,6]=>[2,4,1,8,6,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,4,1,3,2,5,6]=>[2,1,5,8,6,7,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,3,7,4,1,2,5,6]=>[1,6,2,5,8,7,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,8,1,7,3,2,4,5]=>[3,1,8,2,6,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,8,4,3,6,2,5]=>[2,8,1,5,6,3,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,5,1,7,2,3,6]=>[1,5,4,8,2,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,8,1,7,2,3,4]=>[4,3,1,8,2,7,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,8,1,2,7,3,4]=>[3,4,1,8,7,2,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,7,8,3,1,5,4]=>[3,7,2,1,6,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,1,7,3,2,6,4]=>[4,1,8,2,6,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,4,7,1,2,6,5]=>[1,6,5,2,8,7,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,7,4,1,3,6,5]=>[1,7,2,5,8,6,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,4,8,2,1,3,6,5]=>[2,5,1,7,8,6,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,3,6,7,1,5,4]=>[1,7,6,3,2,8,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,8,7,1,5,4,3]=>[7,3,1,2,8,4,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,8,5,2,3,6,4,1]=>[2,1,4,7,6,3,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,5,2,3,4,7,1]=>[3,1,4,7,6,5,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,2,6,8,1,4,7]=>[6,4,7,3,1,8,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,4,6,8,1,7]=>[6,4,7,5,3,1,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,7,3,6,8,1]=>[7,5,4,2,6,3,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,5,3,6,8,1,7]=>[7,5,4,6,3,1,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,4,6,8,1,3,7]=>[4,7,5,3,1,8,6,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,4,6,8,2,7]=>[4,8,6,5,3,1,7,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,2,6,8,1,7]=>[5,6,4,7,3,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,5,7,2,8,1,6]=>[5,6,4,2,7,1,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,7,2,6,8,1]=>[5,6,4,2,7,3,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,3,7,2,5,8,1]=>[5,3,6,2,7,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,3,1,7,8,2,5]=>[5,3,6,8,2,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,1,7,8,2,6]=>[5,6,4,8,2,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,1,3,4,8,2,6]=>[4,2,8,6,5,1,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,3,4,6,8,2]=>[4,2,8,6,5,3,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,5,7,1,3,6,8,2]=>[5,4,2,8,6,3,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,3,6,7,1,5,8,2]=>[5,6,3,2,8,4,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,3,5,1,7,8,2]=>[5,3,6,4,8,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,3,5,7,2,8,1]=>[5,3,6,4,2,7,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,4,1,7,8,2]=>[6,4,3,5,8,2,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,1,5,6,7,4,8,2]=>[6,8,4,3,2,5,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,7,3,4,8,2]=>[4,8,3,2,6,5,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,7,1,3,5,8,2]=>[3,5,2,8,6,4,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,6,7,3,4,5,8,2]=>[8,3,2,6,5,4,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,7,4,5,8,1,3]=>[7,3,2,5,4,1,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,7,4,8,1,3,5]=>[7,3,2,5,1,8,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,6,1,2,7,8,4]=>[4,6,3,8,7,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,2,6,1,7,8,4]=>[6,4,7,3,8,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,6,7,4,8,1]=>[6,4,7,3,2,5,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,6,7,4,8,1]=>[4,7,6,3,2,5,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,6,1,7,8,4]=>[4,7,6,3,8,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,6,1,3,7,8,4]=>[4,7,3,8,6,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,6,7,3,5,8,1]=>[5,7,3,2,6,4,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,2,4,5,8,1]=>[3,6,2,7,5,4,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,7,2,8,1,4,6]=>[6,4,2,7,1,8,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,4,8,1,5,6]=>[6,2,7,5,1,8,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,4,6,8,1,3,5]=>[2,7,5,3,1,8,6,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,4,6,8,2,5]=>[2,8,6,5,3,1,7,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,4,6,8,1,5]=>[6,2,7,5,3,1,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,7,2,6,8,1,4]=>[6,4,2,7,3,1,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,7,2,5,8,1,4]=>[3,6,2,7,4,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,5,7,2,8,1,4]=>[3,6,4,2,7,1,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,7,2,4,8,1]=>[3,6,4,2,7,5,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,4,5,7,3,8,1]=>[3,7,5,4,2,6,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,5,1,7,8,3]=>[3,7,5,4,8,2,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,1,2,5,6,8,3]=>[5,2,8,7,4,3,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,6,7,5,8,1,3,4]=>[7,3,2,4,1,8,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,1,2,5,8,3]=>[5,3,2,8,7,4,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,2,4,7,3,8,1]=>[4,3,7,5,2,6,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,6,2,7,8,3]=>[8,4,5,3,7,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,4,1,2,7,8,3]=>[4,3,5,8,7,2,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,4,5,1,2,7,8,3]=>[3,5,4,8,7,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,3,5,1,7,8,2,4]=>[3,6,4,8,2,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,7,2,8,1,3,4]=>[3,4,2,7,1,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,7,1,3,4,8,2]=>[3,4,2,8,6,5,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,6,4,7,1,3,8,2]=>[4,3,5,2,8,6,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,6,3,1,7,8,2]=>[4,5,3,6,8,2,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,5,2,6,1,3,7]=>[1,5,4,7,3,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,5,3,1,6,2,7]=>[1,5,4,6,8,3,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,5,3,1,6,8,2]=>[2,5,4,6,8,3,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,3,7,4,1,8,2]=>[4,3,6,2,5,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,7,3,1,4,8,2]=>[4,3,2,6,8,5,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,3,4,1,5,8,2]=>[3,2,6,5,8,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,4,2,1,5,8,3]=>[3,2,5,7,8,4,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,6,7,3,1,8,2,4]=>[4,3,2,6,8,1,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,3,7,8,1,2,4]=>[4,3,6,2,1,8,7,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,3,7,2,4,8,1]=>[4,3,6,2,7,5,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,7,2,3,8,1,4]=>[4,3,2,7,6,1,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,5,2,8,1,3,6]=>[2,5,4,7,1,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,3,2,4,8,1,5]=>[3,2,6,7,5,1,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,2,5,1,8,4]=>[3,2,6,7,4,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,2,7,3,8,1]=>[3,5,4,7,2,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,5,2,7,8,1,3]=>[3,5,4,7,2,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,5,2,6,1,8,3]=>[2,5,4,7,3,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,5,6,1,2,8,3]=>[2,5,4,3,8,7,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,6,2,1,3,8,4]=>[2,4,3,7,8,6,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,3,5,1,2,8,4]=>[3,2,6,4,8,7,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,7,4,1,2,8,3]=>[4,3,2,5,8,7,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,7,2,4,1,8,3]=>[4,3,2,7,5,8,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,2,7,8,1,3]=>[4,3,5,7,2,1,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,7,2,1,8,3,4]=>[3,4,2,7,8,1,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,5,7,2,1,4,8,3]=>[3,4,2,7,8,5,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,6,7,3,1,8,2]=>[4,5,3,2,6,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,8,3,6,4,1,2]=>[4,2,1,6,3,5,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,5,6,4,1,2]=>[6,2,1,4,3,5,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,5,6,1,4,2]=>[6,2,1,4,3,8,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,5,6,3,4,2]=>[8,2,1,4,3,6,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,8,6,3,4,2]=>[8,2,4,1,3,6,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,5,8,6,1,4,2]=>[6,2,4,1,3,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,5,8,6,4,1,2]=>[6,2,4,1,3,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,3,8,6,4,1,2]=>[4,2,6,1,3,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,8,5,6,4,1,2]=>[2,6,1,4,3,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,5,8,6,4,1,2]=>[2,6,4,1,3,5,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,7,8,6,4,1,2]=>[6,4,2,1,3,5,8,7]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,5,7,8,6,3,4,2]=>[8,4,2,1,3,6,5,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,7,8,3,6,4,2]=>[8,4,2,1,6,3,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,7,8,1,6,4,2]=>[6,4,2,1,8,3,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,3,7,8,1,6,4,2]=>[4,6,2,1,8,3,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,5,8,6,1,4,2]=>[2,6,4,1,3,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,5,6,1,4,2]=>[2,6,1,4,3,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,1,5,6,3,4,2]=>[2,1,8,4,3,6,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,8,5,6,3,4,2]=>[2,8,1,4,3,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,5,8,6,3,4,2]=>[2,8,4,1,3,6,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,8,3,6,4,2]=>[4,8,2,1,6,3,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,7,8,5,6,4,2]=>[6,8,2,1,4,3,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,7,8,5,6,4,2]=>[8,6,2,1,4,3,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,1,7,5,8,6,4,2]=>[6,8,2,4,1,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,1,7,3,8,6,4,2]=>[4,8,2,6,1,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,1,5,3,8,6,4,2]=>[2,8,4,6,1,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,1,5,8,3,6,4,2]=>[2,8,4,1,6,3,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,1,5,3,6,4,2]=>[2,1,8,4,6,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,3,5,1,6,4,2]=>[2,1,6,4,8,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,5,8,1,6,4,2]=>[2,6,4,1,8,3,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,7,1,8,6,4,2]=>[4,6,2,8,1,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,5,7,1,8,6,4,2]=>[6,4,2,8,1,3,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,5,3,8,6,4,2]=>[8,2,4,6,1,3,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,3,1,8,6,4,2]=>[4,2,6,8,1,3,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,3,8,6,1,4,2]=>[4,2,6,1,3,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,5,8,1,6,4,2]=>[6,2,4,1,8,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,5,8,3,6,4,2]=>[8,2,4,1,6,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,8,5,3,6,4,2]=>[8,2,1,4,6,3,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,8,5,1,6,4,2]=>[6,2,1,4,8,3,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,8,3,6,1,4,2]=>[4,2,1,6,3,8,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,6,3,1,4,2]=>[4,2,1,3,6,8,5,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,5,8,6,1,3,4,2]=>[2,4,1,3,8,6,5,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,7,8,1,6,3,4,2]=>[4,2,1,8,3,6,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,1,3,6,4,2]=>[4,2,1,8,6,3,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,8,1,5,6,4,2]=>[6,2,1,8,4,3,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,8,3,5,6,4,2]=>[8,2,1,6,4,3,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,3,8,5,6,4,2]=>[8,2,6,1,4,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,1,8,5,6,4,2]=>[6,2,8,1,4,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,1,8,3,6,4,2]=>[4,2,8,1,6,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,1,8,6,3,4,2]=>[4,2,8,1,3,6,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,8,1,6,3,4,2]=>[2,4,1,8,3,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,5,1,6,3,4,2]=>[2,1,4,8,3,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,5,1,3,6,4,2]=>[2,1,4,8,6,3,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,8,1,3,6,4,2]=>[2,4,1,8,6,3,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,1,3,8,6,4,2]=>[4,2,8,6,1,3,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,7,1,5,8,6,4,2]=>[6,2,8,4,1,3,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,7,3,5,8,6,4,2]=>[8,2,6,4,1,3,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,5,3,7,8,6,4,2]=>[8,4,6,2,1,3,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,1,7,8,6,4,2]=>[6,4,8,2,1,3,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,3,8,1,5,6,4,2]=>[2,6,1,8,4,3,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,3,1,5,6,4,2]=>[2,1,6,8,4,3,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,1,3,5,6,4,2]=>[2,1,8,6,4,3,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,8,3,5,6,4,2]=>[2,8,1,6,4,3,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,3,8,5,6,4,2]=>[2,8,6,1,4,3,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,3,5,8,6,4,2]=>[2,8,6,4,1,3,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,5,7,8,6,4,2]=>[6,8,4,2,1,3,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,7,3,4,6,8,1,2]=>[4,2,6,5,3,1,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,7,3,4,8,6,1,2]=>[4,2,6,5,1,3,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,3,4,8,1,6,2]=>[4,2,6,5,1,8,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,4,1,8,6,2]=>[4,2,6,5,8,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,3,4,1,6,8,2]=>[4,2,6,5,8,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,3,4,6,1,2,8]=>[4,2,6,5,3,8,7,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,5,6,1,2,8,4]=>[2,6,4,3,8,7,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,3,1,4,6,2,8]=>[4,2,6,8,5,3,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,3,1,4,6,8,2]=>[4,2,6,8,5,3,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,3,1,4,8,6,2]=>[4,2,6,8,5,1,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,3,1,4,8,2,6]=>[4,2,6,8,5,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,7,4,1,2,8,6]=>[4,6,2,5,8,7,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,7,4,1,2,6,8]=>[4,6,2,5,8,7,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,3,7,1,4,2,6,8]=>[4,6,2,8,5,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,7,1,4,2,8,6]=>[4,6,2,8,5,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,5,1,2,8,6,4]=>[6,2,4,8,7,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,3,5,1,2,6,4]=>[2,1,6,4,8,7,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,8,5,1,2,6,4]=>[2,6,1,4,8,7,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,5,8,1,2,6,4]=>[2,6,4,1,8,7,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,5,1,2,6,4,8]=>[6,2,4,8,7,3,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,5,1,2,6,8,4]=>[6,2,4,8,7,3,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,4,3,5,2,8,7]=>[3,8,5,6,4,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,7,3,8,4,1,6]=>[7,4,2,6,1,5,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,7,8,6,1,3,2]=>[4,5,2,1,3,8,6,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,2,8,3,1,4]=>[2,4,3,7,1,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,2,5,8,3,1,6]=>[5,2,7,4,1,6,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,4,5,1,3,8,7]=>[3,7,5,4,8,6,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,4,6,3,2,8,7]=>[4,8,5,3,6,7,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,6,2,4,1,8,7]=>[6,4,3,7,5,8,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,7,5,4,1,2]=>[6,1,3,2,4,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,7,8,3,4,1,5]=>[3,7,2,1,6,5,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,3,4,8,1,7,6]=>[7,4,6,5,1,8,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,2,3,4,7,6]=>[4,8,1,7,6,5,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,4,7,6,2,8,1,3]=>[4,5,2,3,7,1,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,8,1,5,4,6,2]=>[6,2,1,8,4,5,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,4,6,8,5,2]=>[2,8,6,5,3,1,4,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,3,6,5,7,1,4,2]=>[1,6,3,4,2,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,7,1,4,6,2,3]=>[4,1,2,8,5,3,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,6,1,8,3,5,2]=>[5,2,3,8,1,6,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,6,3,8,5,1]=>[5,2,7,3,6,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,8,4,6,7,3,5]=>[7,8,1,5,3,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,8,6,3,1,2,5]=>[5,2,1,3,6,8,7,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,8,1,5,6,7,2,4]=>[6,1,8,4,3,2,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,7,2,4,8,5,3,1]=>[3,2,7,5,1,4,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,8,3,6,7,5,1,4]=>[7,1,6,3,2,4,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,5,8,1,7,6]=>[6,7,5,4,1,8,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,6,3,2,1,8,5]=>[2,5,3,6,7,8,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,7,3,2,1,8,6,5]=>[5,2,6,7,8,1,3,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,4,7,5,2,3,8,1]=>[3,5,2,4,7,6,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,4,8,1,7,3,2,5]=>[3,5,1,8,2,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,7,2,3,1,5,6]=>[5,1,2,7,6,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,3,1,8,7,5,6]=>[5,7,6,8,1,2,4,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,6,8,1,3,5,2,4]=>[2,3,1,8,6,4,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,5,2,3,1,8,4]=>[3,2,4,7,6,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,6,5,1,8,3]=>[5,2,7,3,4,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,8,2,5,3,1,4]=>[3,2,1,7,4,6,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,7,3,6,8,5,4]=>[7,8,2,6,3,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,5,7,8,4,6,3]=>[7,8,4,2,1,5,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,7,8,3,6,1,4]=>[7,4,2,1,6,3,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,4,8,1,2,5,6,3]=>[2,5,1,8,7,4,3,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,7,8,6,3,5,1]=>[5,7,2,1,3,6,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,4,3,2,8,5]=>[3,8,2,5,6,7,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,8,3,4,2,1,7,5]=>[3,1,6,5,7,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,1,5,7,8,3]=>[5,7,3,8,4,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,4,6,7,3,5,8,1]=>[7,5,3,2,6,4,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,5,8,3,7,4,1,2]=>[3,4,1,6,2,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,4,8,3,5,6,2]=>[2,8,5,1,6,4,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,7,5,3,4,1,2]=>[3,1,2,4,6,5,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,6,3,1,5,7,2]=>[5,1,3,6,8,4,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,4,8,2,5,7,6,1]=>[6,5,1,7,4,2,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,8,7,2,5,1,4]=>[6,3,1,2,7,4,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,7,2,8,6,1,4]=>[6,4,2,7,1,3,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,7,4,8,6,1,3]=>[7,4,2,5,1,3,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,7,5,1,8,4]=>[7,3,6,2,4,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,4,8,7,5,1,3]=>[7,3,5,1,2,4,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,7,2,8,5,1,4]=>[3,6,2,7,1,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,2,5,8,7,1,4]=>[6,3,7,4,1,2,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,8,4,7,6,1,3]=>[4,7,1,5,2,3,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,4,8,6,5,1,3]=>[2,7,5,1,3,4,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,4,8,7,5,1,3]=>[3,7,5,1,2,4,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,5,8,7,6,1,3]=>[7,5,4,1,2,3,8,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,3,5,7,6,1,8,4]=>[7,6,4,2,3,8,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,4,6,2,8,7,5]=>[8,6,5,3,7,1,2,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,2,3,6,1,8,7,4]=>[4,7,6,3,8,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,7,3,8,1,6,5]=>[5,7,2,6,1,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,1,4,7,3,8,6]=>[7,4,8,5,2,6,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,8,7,2,5,4]=>[3,8,6,1,2,7,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,5,6,2,8,7,4]=>[6,8,4,3,7,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,4,6,3,8,7,5]=>[8,7,5,3,6,1,2,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,1,5,2,8,7,6,3]=>[5,8,4,7,1,2,3,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,1,4,2,8,6,5,3]=>[2,8,5,7,1,3,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,1,3,7,2,8,6,4]=>[4,8,6,2,7,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,2,4,1,8,7,5]=>[6,3,7,5,8,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,5,1,8,6,4]=>[2,7,6,4,8,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,4,1,8,6,5,2]=>[2,6,5,8,1,3,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,3,4,1,8,7,5,2]=>[3,6,5,8,1,2,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,5,1,8,7,6,2]=>[6,5,4,8,1,2,3,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,4,5,2,8,7,6,3]=>[8,5,4,7,1,2,3,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,4,2,8,7,5,3]=>[8,3,5,7,1,2,4,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,3,6,2,8,1,7,4]=>[4,6,3,7,1,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,2,7,5,1,8,3]=>[5,3,7,2,4,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,2,6,1,8,7,3]=>[5,4,7,3,8,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,3,6,2,8,7,4]=>[8,4,6,3,7,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,8,3,2,7,6,4]=>[8,4,1,6,7,2,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,8,3,1,7,6,4]=>[7,4,1,6,8,2,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,8,2,1,7,6,3]=>[5,4,1,7,8,2,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,2,5,1,4,8,7]=>[6,3,7,4,8,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,8,4,1,3,7,6]=>[4,7,1,5,8,6,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,4,8,7,1,3,6,5]=>[7,5,1,2,8,6,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,1,3,7,6,4]=>[7,4,1,8,6,2,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,8,1,4,7,6,5]=>[7,6,1,8,5,2,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,8,2,4,7,6,5]=>[8,6,1,7,5,2,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,2,1,7,4,8,6]=>[6,4,7,8,2,5,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,2,8,7,5,3]=>[5,3,8,7,1,2,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,6,2,3,8,7,5,4]=>[8,3,7,6,1,2,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,5,2,3,8,7,6,4]=>[8,4,7,6,1,2,3,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,5,1,2,8,7,6,3]=>[5,4,8,7,1,2,3,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,2,8,1,3,7,6,4]=>[4,7,1,8,6,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,2,8,3,7,6,5]=>[5,8,7,1,6,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,5,6,8,3,1,2]=>[5,2,4,3,1,6,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,7,5,8,4,2]=>[8,3,6,2,4,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,7,4,5,8,6,2]=>[8,6,2,5,4,1,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,6,3,4,1,5,8]=>[2,7,3,6,5,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,7,4,6,5,1,2]=>[1,6,2,5,3,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,4,7,5,3,1,2]=>[3,1,5,2,4,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,8,7,5,6,3,1,2]=>[5,1,2,4,3,6,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,7,6,4,5,1,2]=>[6,1,2,3,5,4,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,2,8,3,7,4]=>[8,3,4,7,1,6,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,6,3,1,4,5,8]=>[7,2,3,6,8,5,4,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,8,5,3,2,1,4,7]=>[3,1,4,6,7,8,5,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,7,6,4,5,1,3,8]=>[7,2,3,5,4,8,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,6,4,1,3,8]=>[4,2,7,3,5,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,3,7,5,8,4,2]=>[3,8,6,2,4,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,7,3,6,8,5,2]=>[5,8,2,6,3,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,6,4,3,7,5,2]=>[1,8,3,5,6,2,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,7,4,8,6,3,5]=>[7,8,2,5,1,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,8,6,3,7,5,4,2]=>[8,1,3,6,2,4,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,8,2,7,3,6,5,4]=>[8,1,7,2,6,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,8,7,1,4,3,5]=>[3,7,1,2,8,5,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,3,1,4,6,5,7]=>[1,7,6,8,5,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,8,3,1,5,6,7]=>[7,5,1,6,8,4,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,4,2,7,1,5,6,8]=>[6,5,7,2,8,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,3,8,2,1,5,6]=>[5,2,6,1,7,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,7,3,1,4,6,8]=>[4,7,2,6,8,5,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,3,7,2,1,5,4,6]=>[1,6,2,7,8,4,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,7,2,8,4,6,5]=>[8,6,2,7,1,5,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,5,7,1,3,8]=>[7,3,5,4,2,8,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,4,6,2,7,1,3,8]=>[4,5,3,7,2,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,5,8,6,4,3,2]=>[8,2,4,1,3,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,8,4,1,3,7,5,2]=>[3,1,5,8,6,2,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,5,7,1,3,8,4,2]=>[3,4,2,8,6,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,8,3,1,7,4,6,2]=>[4,1,6,8,2,5,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,7,4,6,5,2]=>[8,6,1,2,5,3,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,8,7,6,3,5,4]=>[8,7,1,2,3,6,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,3,1,8,7,4,5,6]=>[7,6,8,1,2,5,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,1,8,5,7,3,6]=>[7,5,8,1,4,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,1,7,6,3,4]=>[4,1,7,8,2,3,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,8,3,6,5,4,2]=>[2,8,1,6,3,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,1,8,7,5,6,3,2]=>[5,8,1,2,4,3,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,7,8,4,6,3,5]=>[7,8,2,1,5,3,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,8,7,2,6,4,1]=>[6,4,1,2,7,3,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,8,2,7,1,6,4,3]=>[4,1,7,2,8,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,4,5,8,3,7]=>[7,8,3,5,4,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,3,8,5,2,1,7]=>[5,3,6,1,4,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,3,7,5,2,8,1]=>[5,3,6,2,4,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,7,8,2,6,1,4]=>[6,4,2,1,7,3,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,2,4,1,3,8,7]=>[4,3,7,5,8,6,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,3,4,6,1,5,7]=>[1,7,6,5,3,8,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,3,4,6,1,8,5]=>[2,7,6,5,3,8,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,4,7,5,1,6]=>[1,7,6,5,2,4,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,4,6,8,5,1]=>[2,7,6,5,3,1,4,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,8,3,6,5,1,4,2]=>[2,1,6,3,4,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,3,6,1,5,8,7]=>[5,7,6,3,8,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,3,7,5,1,6,2]=>[5,1,6,2,4,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,3,4,7,8,6,1]=>[4,7,6,5,2,1,3,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,2,3,4,7,1,6,5]=>[1,7,6,5,2,8,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,4,8,7,1,6]=>[4,7,6,5,1,2,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,3,4,6,8,1,7]=>[4,7,6,5,3,1,8,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,2,8,5,7,6,1,3]=>[5,7,1,4,2,3,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,6,4,5,1,8,2]=>[6,2,3,5,4,8,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,4,5,1,2,7]=>[6,1,3,5,4,8,7,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,6,5,8,2,1]=>[5,2,6,3,4,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,3,7,5,2,1,6]=>[5,1,6,2,4,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,7,5,1,6,3,4]=>[1,7,2,4,8,3,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,2,7,5,8,6,3,1]=>[5,7,2,4,1,3,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,8,1,7,3,6,4,2]=>[4,1,8,2,6,3,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,7,8,4,6,3,1]=>[4,7,2,1,5,3,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,8,3,7,6,1,4]=>[4,7,1,6,2,3,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,7,3,1,6,4,5]=>[1,7,2,6,8,3,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,3,2,5,7,1,4]=>[3,1,6,7,4,2,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,8,5,4,2,1]=>[3,2,6,1,4,5,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,2,3,4,7,5,8,1]=>[3,7,6,5,2,4,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,4,8,5,1,7]=>[3,7,6,5,1,4,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,3,4,1,7,5,6]=>[1,7,6,5,8,2,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,4,1,8,5,7]=>[3,7,6,5,8,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,4,8,7,5,1]=>[3,7,6,5,1,2,4,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,8,3,1,5,7,4,2]=>[3,1,6,8,4,2,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,3,4,1,8,6,5]=>[2,7,6,5,8,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,4,1,5,8,6]=>[2,7,6,5,8,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,3,4,8,7,5,6]=>[8,7,6,5,1,2,4,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,8,5,3,4,6,7]=>[8,7,1,4,6,5,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,8,4,2,3,5,6,7]=>[8,1,5,7,6,4,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [8,6,7,4,1,5,3,2]=>[1,3,2,5,8,4,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,6,7,5,1,3,2]=>[5,1,3,2,4,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,8,4,6,5,2,3]=>[2,8,1,5,3,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,7,1,4,6,3,2]=>[1,4,2,8,5,3,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,4,8,5,1,7,3,2]=>[3,5,1,4,8,2,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,5,7,1,6,3,2]=>[5,1,4,2,8,3,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,7,1,5,6,3,2]=>[1,5,2,8,4,3,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,8,7,2,5,1,6,3]=>[5,1,2,7,4,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,8,5,2,7,3]=>[8,3,5,1,4,7,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,8,5,6,2,3,4]=>[2,8,1,4,3,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,7,1,2,5,6,4]=>[6,1,2,8,7,4,3,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,8,7,1,2,6,4]=>[6,4,1,2,8,7,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,8,5,7,1,6,4]=>[7,6,1,4,2,8,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,1,5,6,2,4]=>[6,1,2,8,4,3,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,8,7,1,6,2,4]=>[6,4,1,2,8,3,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,8,6,7,5,1,4]=>[7,6,1,3,2,4,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,8,6,7,5,1,4]=>[6,7,1,3,2,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,8,6,2,7,5,3]=>[5,8,1,3,7,2,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,3,8,6,7,5,2,4]=>[8,6,1,3,2,4,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,8,2,6,3,4]=>[4,2,8,1,7,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,7,1,5,6,3,4]=>[7,1,2,8,4,3,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,8,2,4,6,5,3]=>[2,8,1,7,5,3,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,2,8,4,7,5,3]=>[8,3,7,1,5,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,8,5,7,2,6,4]=>[8,6,1,4,2,7,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,7,2,5,6,4]=>[8,1,6,2,7,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,7,1,3,5,6,4]=>[7,1,2,8,6,4,3,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,1,8,2,3,6,4]=>[4,2,8,1,7,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,2,3,5,6,4]=>[2,8,1,7,6,4,3,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,8,6,7,5,1,3]=>[5,7,1,3,2,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,3,6,1,7,5,2]=>[5,1,6,3,8,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,4,7,5,1,6,2]=>[1,6,5,2,4,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,7,4,5,1,6,2]=>[1,6,2,5,4,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,6,1,7,2,5,3]=>[5,1,3,8,2,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,8,2,6,5,3]=>[5,2,8,1,7,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,8,6,7,1,5,3]=>[5,7,1,3,2,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,1,6,3,4,5]=>[1,7,2,8,3,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,7,1,3,6,4,5]=>[1,7,2,8,6,3,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,3,6,7,1,5,4]=>[7,1,6,3,2,8,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,7,2,3,6,4,5]=>[8,1,2,7,6,3,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,7,2,6,3,4,5]=>[8,1,2,7,3,6,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,7,3,6,1,4,5]=>[1,7,2,6,3,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,8,7,3,6,2,4,5]=>[8,1,2,6,3,7,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,2,7,6,3,4,5]=>[8,1,7,2,3,6,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,7,4,1,5,6,3]=>[1,7,2,5,8,4,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,7,3,5,6,1,4]=>[7,1,2,6,4,3,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,8,6,7,4,3]=>[8,4,7,1,3,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,8,6,7,5,3,4]=>[8,7,1,3,2,4,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,3,6,7,5,2,4]=>[8,1,6,3,2,4,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,3,6,7,5,1,4]=>[1,7,6,3,2,4,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,3,7,2,5,6,1,4]=>[1,6,2,7,4,3,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,3,7,5,6,2,4]=>[1,8,6,2,4,3,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,2,6,7,5,3]=>[1,8,5,7,3,2,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,2,8,6,7,3,5,4]=>[8,7,1,3,2,6,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,2,7,3,6,4,5]=>[1,8,7,2,6,3,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,7,3,6,2,4,5]=>[1,8,2,6,3,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,7,2,6,3,4,5]=>[1,8,2,7,3,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,7,2,3,6,4,5]=>[1,8,2,7,6,3,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,3,7,2,5,6,4]=>[1,8,6,2,7,4,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,3,6,7,2,5,4]=>[8,1,6,3,2,7,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,2,3,6,5,4]=>[8,2,1,7,6,3,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [8,3,7,1,2,5,6,4]=>[1,6,2,8,7,4,3,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,8,5,7,4,6,3,1]=>[7,1,4,2,5,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,8,5,7,4,2,6]=>[6,8,1,4,2,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,5,7,4,2,6,1]=>[1,6,4,2,5,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,6,2,4,5,7,1]=>[1,6,3,7,5,4,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,8,6,4,3,5,7,1]=>[7,1,3,5,6,4,2,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,6,8,3,5,4,7,1]=>[7,3,1,6,4,5,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,8,4,6,3,1]=>[7,2,4,1,5,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,1,7,6,3,2,5]=>[5,1,8,2,3,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,7,6,2,3,5,8]=>[5,8,2,3,7,6,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,7,1,8,6,2,5,4]=>[6,2,8,1,3,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,6,4,5,2,8]=>[6,8,2,3,5,4,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,7,5,8,4,2,6]=>[6,8,2,4,1,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,6,8,7,5,2,4]=>[6,8,3,1,2,4,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,8,7,5,2,4,1]=>[3,6,1,2,4,7,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,3,5,8,4,2,6,1]=>[2,6,4,1,5,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,4,2,8,5,1]=>[2,6,3,5,7,1,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,3,6,2,5,4,1]=>[2,1,6,3,7,4,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,8,2,1,6,3,5]=>[2,5,1,7,8,3,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,5,2,1,4,3,6]=>[2,1,4,7,8,5,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,6,2,3,8,1,5]=>[2,5,3,7,6,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,5,8,1,3,2,7]=>[5,3,4,1,8,6,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,5,3,8,2,6]=>[5,2,8,4,6,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,8,1,3,6,2,5]=>[5,2,1,8,6,3,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,3,4,6,2,8]=>[4,2,8,6,5,3,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,4,2,3,6,8]=>[4,2,8,5,7,6,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,1,3,2,4,6,7]=>[4,1,8,6,7,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,6,1,3,2,7,5]=>[5,1,3,8,6,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,6,2,1,3,7,5]=>[1,5,3,7,8,6,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,8,7,2,3,6,1]=>[4,5,1,2,7,6,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,8,7,3,1,2,6]=>[4,5,1,2,6,8,7,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,3,7,2,5,4,1]=>[3,1,6,2,7,4,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,8,2,3,7,1]=>[4,5,3,1,7,6,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,4,2,8,3,6,1]=>[4,2,5,7,1,6,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,7,2,1,8,3,5]=>[3,5,2,7,8,1,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,5,4,1,3,2,7]=>[3,1,4,5,8,6,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,7,8,2,5,1,4]=>[3,6,2,1,7,4,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,5,6,4,2,1,8]=>[2,6,4,3,5,7,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,5,2,6,1,3,8]=>[2,5,4,7,3,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,7,2,8,6,4,1]=>[4,6,2,7,1,3,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,3,8,2,6,7,4,1]=>[4,6,1,7,3,2,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,3,8,2,5,4,7,1]=>[3,6,1,7,4,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,8,2,1,5,7,3]=>[3,5,1,7,8,4,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,7,8,2,6,4,1]=>[4,6,2,1,7,3,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,8,5,6,3,2,1]=>[5,2,1,4,3,6,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,3,7,6,8,2,4,1]=>[4,6,2,3,1,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,7,8,4,6,2,1,3]=>[4,2,1,5,3,7,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,4,3,6,7,1,2]=>[4,1,5,6,3,2,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,6,4,7,2,1,3]=>[4,1,3,5,2,7,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,8,6,2,7,4,1]=>[4,6,1,3,7,2,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,7,5,8,6,3,2,1]=>[5,2,4,1,3,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,8,6,7,5,3,2,1]=>[5,1,3,2,4,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,3,8,7,2,4,1,5]=>[3,6,1,2,7,5,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,8,7,2,6,4,1]=>[4,6,1,2,7,3,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,3,8,6,7,2,4,1]=>[4,6,1,3,2,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,7,8,6,2,4,1]=>[4,6,2,1,3,7,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,6,4,8,2,1,3]=>[4,2,3,5,1,7,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,4,6,7,2,1,3]=>[4,1,5,3,2,7,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,4,6,2,8,7,1,3]=>[4,5,3,7,1,2,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,3,8,7,2,4,1]=>[4,3,6,1,2,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,4,3,1,8,2,5]=>[3,2,5,6,8,1,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,4,3,6,8,1,2]=>[4,2,5,6,3,1,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,3,8,6,2,4,1]=>[4,2,6,1,3,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,8,6,7,3,2,1]=>[5,4,1,3,2,6,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,8,5,7,3,2,1]=>[5,3,1,4,2,6,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,8,3,7,2,4,1]=>[4,3,1,6,2,7,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,6,8,2,7,1,3]=>[4,5,3,1,7,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,7,8,2,5,1,4]=>[6,3,2,1,7,4,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,7,8,2,6,4,1,3]=>[4,2,1,7,3,5,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,8,5,7,1,4,2]=>[6,3,1,4,2,8,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,8,6,2,3,5]=>[8,2,5,1,3,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,2,5,7,8,1,4]=>[6,3,7,4,2,1,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,2,7,4,6,8,1,3]=>[4,7,2,5,3,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,6,7,1,8,4,2]=>[4,6,3,2,8,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,5,6,7,1,8,3]=>[5,7,4,3,2,8,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,7,5,1,6,4]=>[1,7,6,2,4,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,6,3,5,1,8,4]=>[2,7,3,6,4,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,3,6,7,2,4,5]=>[1,8,6,3,2,7,5,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,4,2,5,6,3,7]=>[1,8,5,7,4,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,4,2,7,5,3,6]=>[1,8,5,7,2,4,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,3,8,2,7,4,5]=>[3,8,6,1,7,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,2,4,1,7,8,5]=>[6,3,7,5,8,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,7,3,1,5,8,4]=>[3,7,2,6,8,4,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,4,1,8,5,7,2]=>[3,6,5,8,1,4,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,4,1,5,8,6,2]=>[2,6,5,8,4,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,7,5,2,8,6,3,4]=>[8,2,4,7,1,3,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,4,1,8,5,6,2]=>[6,2,5,8,1,4,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,1,7,8,4,2]=>[4,3,6,8,2,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,4,8,1,5,7,2]=>[6,3,5,1,8,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,8,4,2,6,3,7]=>[8,4,1,5,7,3,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,7,4,1,6,8,2]=>[6,4,2,5,8,3,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,7,1,2,6,4,8]=>[6,4,2,8,7,3,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,1,8,2,3,7,6]=>[5,4,8,1,7,6,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,1,8,2,6,3,5]=>[5,2,8,1,7,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,1,8,4,6,7]=>[6,4,7,8,1,5,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,6,1,3,4,8,7]=>[4,7,3,8,6,5,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,8,4,5,1,3,2,6]=>[2,1,5,4,8,6,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,3,2,5,4,8]=>[3,2,8,6,7,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,4,3,5,2,8]=>[3,2,8,5,6,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,3,1,5,4,6]=>[2,1,7,6,8,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,4,3,5,1,6]=>[2,1,7,5,6,4,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,4,1,5,3,6]=>[2,1,7,5,8,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,6,5,7,3,8]=>[8,5,7,3,4,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,1,4,2,7,3,8]=>[4,3,8,5,7,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,4,3,5,1,8]=>[3,2,7,5,6,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,3,1,5,4,8]=>[3,2,7,6,8,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,5,4,8,1,2]=>[3,2,6,4,5,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,6,5,7,3,8]=>[7,5,8,3,4,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,6,4,7,3,8]=>[8,4,7,3,5,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,6,4,7,3,8]=>[7,4,8,3,5,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,5,7,4,8,1,2]=>[6,3,4,2,5,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,4,3,7,1,8]=>[4,3,7,5,6,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,6,1,7,3,8]=>[5,4,7,3,8,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,6,3,7,2,8]=>[5,4,8,3,6,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,6,1,7,2,8]=>[5,4,6,3,8,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,4,1,7,2,8]=>[4,3,6,5,8,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,1,4,3,7,2,8]=>[4,3,8,5,6,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,1,3,2,7,4,8]=>[4,3,8,6,7,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,7,1,3,2,8]=>[4,3,5,2,8,6,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,4,5,1,3,2,8]=>[3,2,5,4,8,6,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,8,1,3,2,4]=>[3,2,4,1,8,6,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,3,2,7,6,8]=>[5,4,8,6,7,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,7,1,3,2,8]=>[5,3,4,2,8,6,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,1,3,2,7,5,8]=>[5,3,8,6,7,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,3,6,2,7,5,8]=>[8,5,6,3,7,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,6,5,7,2,8]=>[6,5,8,3,4,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,3,1,7,6,8]=>[5,4,7,6,8,2,3,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,7,6,8,1,2]=>[5,4,6,2,3,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,7,3,8,1,2]=>[5,3,4,2,6,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,7,2,3,1,8]=>[5,3,4,2,7,6,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,6,1,7,2,8]=>[6,4,5,3,8,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,6,4,7,2,8]=>[6,4,8,3,5,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,3,6,4,7,2,8]=>[8,4,6,3,5,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,3,6,2,7,4,8]=>[8,4,6,3,7,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,6,1,7,4,8]=>[6,4,7,3,8,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,6,4,7,1,8]=>[6,4,7,3,5,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,2,6,1,7,5,8]=>[6,5,7,3,8,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,3,1,7,5,8]=>[5,3,7,6,8,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,6,1,7,5,8]=>[7,5,6,3,8,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,3,6,4,7,1,8]=>[7,4,6,3,5,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,3,6,1,7,4,8]=>[7,4,6,3,8,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,7,3,5,8,1]=>[5,3,7,2,6,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,2,7,5,4,8,1]=>[6,3,7,2,4,5,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,1,7,3,8,2,5]=>[5,3,8,2,6,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,7,1,3,8,6,5]=>[7,5,2,8,6,1,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,6,7,4,3,8,1]=>[4,7,3,2,5,6,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,7,4,3,8,2,6]=>[8,4,2,5,6,1,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,7,3,1,8,6,4]=>[7,4,2,6,8,1,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,7,2,8,3,6,4]=>[8,4,2,7,1,6,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,7,3,1,8,4,6]=>[7,4,2,6,8,1,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,2,6,7,1,8,4,3]=>[4,7,3,2,8,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,7,2,8,5,6,4]=>[8,6,2,7,1,4,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,5,8,4,7,6]=>[7,6,8,4,1,5,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,6,8,4,3,7]=>[7,8,4,3,1,5,6,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,5,8,6,4,7]=>[7,6,8,4,1,3,5,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,7,3,1,8,5,6]=>[7,5,2,6,8,1,4,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,7,2,8,5,4,6]=>[8,6,2,7,1,4,5,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,6,8,5,4,7]=>[7,6,8,3,1,4,5,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,7,1,8,3,5]=>[5,3,7,2,8,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,3,6,8,2,7]=>[8,4,5,6,3,1,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,4,5,7,8,3,2]=>[8,3,5,4,2,1,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,5,1,7,8,6,3,4]=>[7,4,8,2,1,3,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,5,6,8,4,7,3]=>[7,8,4,3,1,5,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,7,8,5,6,3]=>[7,5,8,2,1,4,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,2,8,4,7,5]=>[8,6,3,7,1,5,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,5,6,8,7,3,4]=>[7,8,4,3,1,2,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,5,2,7,8,4,1]=>[6,3,4,7,2,1,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,4,7,5,8,3,1]=>[3,7,5,2,4,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,7,8,4,2,6,3]=>[8,4,2,1,5,7,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,7,4,1,8,6,2,5]=>[6,2,5,8,1,3,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,6,8,5,7,2,1]=>[6,5,3,1,4,2,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,2,5,7,3,1,8,6]=>[5,7,4,2,6,8,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,6,2,8,7,3,1]=>[5,4,3,7,1,2,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,6,8,1,7,4,3]=>[7,4,3,1,8,2,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,6,1,8,7,3,2]=>[5,4,3,8,1,2,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,6,3,1,8,7,2]=>[5,4,3,6,8,1,2,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,6,2,1,7,5,8]=>[5,6,3,7,8,2,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,3,2,1,7,5,8]=>[5,3,6,7,8,2,4,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,6,3,1,7,5,2,8]=>[5,3,6,8,2,4,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,3,7,6,1,8,2]=>[5,4,6,2,3,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,1,7,3,8,6,2]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,7,1,4,3,8,6]=>[7,4,2,8,5,6,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,7,6,1,8,2]=>[5,6,4,2,3,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,1,7,5,2,8]=>[5,6,3,8,2,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,6,3,2,7,4,8]=>[4,8,3,6,7,2,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,1,4,7,5,3,8]=>[7,3,8,5,2,4,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,7,4,2,5,8]=>[6,3,8,2,5,7,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,1,7,5,3,2,8]=>[5,3,8,2,4,6,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,6,3,7,4,2,8]=>[4,8,3,6,2,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,6,4,2,1,7,8]=>[4,6,3,5,7,8,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,2,6,3,1,7,4,8]=>[4,7,3,6,8,2,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,2,6,3,1,7,8,5]=>[5,7,3,6,8,2,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,2,1,7,4,5,8]=>[6,3,7,8,2,5,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,2,7,4,1,5,8]=>[6,3,7,2,5,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,7,2,8,6,4,1]=>[6,4,2,7,1,3,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,7,1,3,6,5,8]=>[7,5,2,8,6,3,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,3,7,5,4,8]=>[7,3,8,6,2,4,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,7,5,2,4,8]=>[6,3,8,2,4,7,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,2,7,4,3,8]=>[4,8,3,7,2,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,6,4,3,1,7,8]=>[4,7,3,5,6,8,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,1,6,4,2,7,3,8]=>[4,8,3,5,7,2,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,1,7,5,4,8,2]=>[6,3,8,2,4,5,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,1,5,4,3,7,8]=>[7,3,8,4,5,6,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,6,2,5,4,7,8]=>[6,8,3,7,4,5,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,6,4,3,2,7,8]=>[4,8,3,5,6,7,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,2,8,1,5,4,3,6]=>[2,7,1,8,4,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,7,6,5,8,1,3]=>[5,7,2,3,4,1,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,2,6,5,4,1,7]=>[6,1,7,3,4,5,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,8,6,1,4,3,5]=>[2,7,1,3,8,5,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,7,6,8,4,1,3]=>[4,7,2,3,1,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,7,2,5,4,1,6]=>[6,1,2,7,4,5,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,8,6,5,1,3,4]=>[2,7,1,3,4,8,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,3,7,2,5,6,1,8]=>[5,6,2,7,4,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,1,4,3,2,5,8]=>[3,2,8,5,6,7,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,2,6,7,1,5,8]=>[6,5,7,3,2,8,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,7,1,6,5,2,4,8]=>[6,2,8,3,4,7,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,6,2,4,7,1,8]=>[6,4,3,7,5,2,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,8,7,2,4,6,1]=>[6,4,1,2,7,5,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,8,2,5,4,3,6]=>[8,2,1,7,4,5,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,6,4,7,1,3,8]=>[7,4,3,5,2,8,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,6,3,5,2,8]=>[5,2,8,3,6,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,8,7,2,6,1]=>[5,4,6,1,2,7,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,5,3,7,8,2,6]=>[8,5,4,6,2,1,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,8,2,7,6,3,5]=>[8,5,1,7,2,3,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,5,1,8,6,2]=>[5,2,6,4,8,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,8,7,4,6,1,3]=>[7,4,1,2,5,3,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,8,3,5,2,1,6]=>[5,2,1,6,4,7,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,2,1,8,3,5]=>[5,2,3,7,8,1,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,4,6,7,3,5,8,2]=>[8,5,3,2,6,4,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [8,3,6,2,1,7,5,4]=>[1,6,3,7,8,2,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,3,7,6,4,2,1,5]=>[1,6,2,3,5,7,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,3,1,8,4,7,6,5]=>[7,6,8,1,5,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,4,8,6,5,1,3]=>[7,2,5,1,3,4,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,7,2,8,5,4,1]=>[3,6,2,7,1,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,6,3,8,2,7,5,4]=>[8,3,6,1,7,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,5,3,8,2,6,4]=>[8,2,4,6,1,7,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,7,4,1,8,5,3]=>[3,7,2,5,8,1,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,7,5,1,3,8,6,4]=>[7,2,4,8,6,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,6,4,3,8,2,5]=>[8,2,3,5,6,1,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,7,2,4,8,6,5,1]=>[6,2,7,5,1,3,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,2,8,7,6,1,5]=>[6,5,7,1,2,3,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,4,3,2,7,8,6]=>[4,8,5,6,7,2,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,7,8,5,2,4,1,6]=>[6,2,1,4,7,5,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,2,4,1,8,5]=>[6,2,3,7,5,8,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,2,5,7,4,3]=>[8,3,1,7,4,2,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,2,5,8,4,3,1]=>[3,2,7,4,1,5,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,2,7,8,4,3,1,6]=>[4,7,2,1,5,6,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,7,6,4,1,3,8,5]=>[7,2,3,5,8,6,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,1,7,6,3,2,8,5]=>[5,8,2,3,6,7,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,2,7,5,3,1,8,4]=>[3,7,2,4,6,8,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,5,8,2,7,4,6,3]=>[8,4,1,7,2,5,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,8,4,6,3,1]=>[4,2,7,1,5,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,3,1,8,4,6,2]=>[4,2,6,8,1,5,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,7,3,1,6,5,2]=>[1,5,2,6,8,3,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,6,8,5,7,4,1,3]=>[7,3,1,4,2,5,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,4,6,2,1,8,3]=>[4,2,5,3,7,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,4,8,3,7,2,1]=>[4,3,5,1,6,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,1,8,3,4,2,5]=>[3,2,8,1,6,5,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,5,1,4,2,6]=>[2,1,6,4,8,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,7,1,8,3,4]=>[4,3,7,2,8,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,4,3,8,1,5]=>[3,2,7,5,6,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,8,6,7,1,5]=>[7,5,6,1,3,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,7,4,5,3,6]=>[8,1,7,2,5,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,4,8,3,6,1,7]=>[7,4,5,1,6,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,8,5,6,4,7]=>[7,6,8,1,4,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,5,6,4,7,1,2]=>[6,1,4,3,5,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,6,4,8,1,2]=>[4,2,6,3,5,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,2,3,1,6,4,8]=>[4,2,7,6,8,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,2,4,3,6,1,8]=>[4,2,7,5,6,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,7,1,5,3,8]=>[5,3,7,2,8,4,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,6,2,5,3,8]=>[5,2,8,3,7,4,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,5,3,6,2,8]=>[5,2,8,4,6,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,5,1,7,2,8]=>[5,3,6,4,8,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,5,1,4,2,8]=>[3,2,6,4,8,5,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,7,1,4,2,8]=>[4,3,6,2,8,5,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,6,3,4,2,8]=>[4,2,8,3,6,5,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,6,3,4,2,7]=>[8,1,4,3,6,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,6,4,7,2,3]=>[8,1,4,3,5,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,6,4,8,2,3]=>[4,2,8,3,5,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,8,1,7,2,3]=>[5,3,4,1,8,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,4,2,8,5,6]=>[6,2,8,5,7,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,4,2,8,6,7]=>[6,4,8,5,7,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,8,3,7,1,2]=>[5,3,4,1,6,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,8,2,3,1,7]=>[5,3,4,1,7,6,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,6,2,8,1,7]=>[6,4,5,3,7,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,5,4,7,2,6]=>[8,1,6,4,5,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,2,7,1,8,5,6]=>[6,5,7,2,8,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,2,3,1,8,5,6]=>[5,2,7,6,8,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,8,1,7,5,6]=>[7,5,6,1,8,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,3,8,4,7,1,6]=>[7,4,6,1,5,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,3,8,1,7,4,5]=>[7,3,6,1,8,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,8,3,6,4,5]=>[7,2,8,1,6,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,8,6,1,5,2]=>[6,2,5,1,3,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,1,8,7,6,2,3]=>[5,4,8,1,2,3,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,5,2,8,7,6,3,4]=>[8,4,7,1,2,3,6,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,2,8,7,6,3,4]=>[4,8,7,1,2,3,6,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,5,8,7,6,2,3]=>[5,8,4,1,2,3,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,3,6,8,7,4,5,1]=>[7,6,3,1,2,5,4,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,7,8,2,6,3,1]=>[5,4,2,1,7,3,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,6,8,2,7,3,1]=>[5,4,3,1,7,2,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,1,6,8,7,4,5,2]=>[6,8,3,1,2,5,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,4,8,7,2,5,3]=>[3,8,5,1,2,7,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,8,4,7,3,5,2]=>[3,8,1,5,2,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,3,4,7,1,6,2]=>[4,1,6,5,2,8,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,3,5,7,1,4,2]=>[3,1,6,4,2,8,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,8,6,4,5,2]=>[6,8,2,1,3,5,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,7,8,3,6,4,1]=>[4,7,2,1,6,3,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,7,8,2,5,3,1]=>[5,3,2,1,7,4,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,8,4,5,2,7,3,1]=>[3,1,5,4,7,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,8,4,2,7,5,1]=>[3,6,1,5,7,2,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,5,3,8,6,4,1]=>[2,7,4,6,1,3,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,7,5,8,6,2,1]=>[6,5,2,4,1,3,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,7,4,8,5,2,1]=>[6,3,2,5,1,4,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,4,2,8,5,3,1]=>[3,2,5,7,1,4,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,5,2,8,6,3,1]=>[5,2,4,7,1,3,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,5,3,8,6,4,1]=>[7,2,4,6,1,3,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,2,8,3,7,4,1]=>[4,3,7,1,6,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,8,3,2,6,4,1]=>[4,2,1,6,7,3,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,8,3,2,7,4,1]=>[4,3,1,6,7,2,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,8,4,2,7,5,1]=>[6,3,1,5,7,2,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,8,2,7,3,6,4]=>[8,4,1,7,2,6,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,7,2,3,6,1]=>[4,1,5,2,7,6,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,8,1,3,7,4,2]=>[4,3,1,8,6,2,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,4,8,1,5,3,2]=>[3,2,5,1,8,4,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,2,8,3,6,4,1]=>[4,2,7,1,6,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,4,8,6,2,5,3]=>[8,2,5,1,3,7,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,5,3,7,2,4,1]=>[3,1,4,6,2,7,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,5,2,3,7,4,1]=>[3,1,4,7,6,2,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,3,4,8,5,2,1]=>[3,2,6,5,1,4,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,6,4,7,8,5,2,1]=>[6,3,5,2,1,4,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,8,3,4,7,5,2]=>[3,8,1,6,5,2,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,4,2,5,7,3,1]=>[3,1,5,7,4,2,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,8,3,4,6,2,1]=>[2,4,1,6,5,3,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,4,5,8,1,6,3,2]=>[2,5,4,1,8,3,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,4,7,8,5,2,1]=>[3,6,5,2,1,4,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,7,3,4,5,8,2]=>[3,8,2,6,5,4,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,7,2,3,4,1,8,6]=>[4,2,7,6,5,8,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,8,4,5,6,3]=>[7,2,8,1,5,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,8,3,4,5,1,7]=>[7,3,1,6,5,4,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,7,4,5,8,3]=>[3,8,7,2,5,4,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,2,3,1,5,8,6]=>[5,2,7,6,8,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,1,3,8,5,6,4]=>[7,2,8,6,1,4,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,8,4,5,3,1]=>[7,3,2,1,5,4,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,8,3,4,1,6,7]=>[7,4,1,6,5,8,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,7,4,3,8,1]=>[4,3,7,2,5,6,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,7,3,2,5,8,1]=>[5,3,2,6,7,4,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,7,3,8,5,4,1]=>[7,3,2,6,1,4,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,1,8,4,5,3,7]=>[7,3,8,1,5,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,7,8,4,3,6,1]=>[7,4,2,1,5,6,3,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,8,4,5,7,1,2]=>[6,3,1,5,4,2,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,8,4,7,2,3,5]=>[8,3,1,5,2,7,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,7,8,2,6,3]=>[8,5,4,2,1,7,3,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,5,7,8,6,1,2]=>[6,5,4,2,1,3,8,7]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,5,7,6,8,1,2]=>[6,5,4,2,3,1,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,4,8,5,1,2]=>[6,3,2,5,1,4,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,5,6,8,7,1,2]=>[6,5,4,3,1,2,8,7]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,4,5,8,7,2,3,6]=>[8,5,4,1,2,7,6,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,5,8,3,6,4,7]=>[8,7,4,1,6,3,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,5,8,6,2,3,7]=>[8,5,4,1,3,7,6,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,8,1,4,6,2,3,5]=>[2,1,8,5,3,7,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,7,4,8,2,5,3]=>[8,3,2,5,1,7,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,6,8,2,7,3]=>[8,5,4,3,1,7,2,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,4,5,8,6,2,7,3]=>[8,5,4,1,3,7,2,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,5,8,3,4,7,6]=>[8,7,4,1,6,5,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,7,2,3,5,8,4]=>[8,3,2,7,6,4,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,1,2,3,5,4,6]=>[2,1,8,7,6,4,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,6,7,2,3,5,4,8]=>[8,3,2,7,6,4,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,5,7,6,2,3,8]=>[8,5,4,2,3,7,6,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,5,7,3,6,4,8]=>[8,7,4,2,6,3,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,5,7,3,6,8,4]=>[8,7,4,2,6,3,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,8,2,3,5,7,4]=>[8,3,1,7,6,4,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,8,4,5,2,3,7]=>[8,3,1,5,4,7,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,2,3,4,7,5]=>[8,3,1,7,6,5,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,8,2,3,7,4,5]=>[8,3,1,7,6,2,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,5,7,6,2,8,3]=>[8,5,4,2,3,7,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,8,1,4,5,2,6,3]=>[2,1,8,5,4,7,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,2,3,4,6,5]=>[2,1,8,7,6,5,3,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,8,1,2,3,6,4,5]=>[2,1,8,7,6,3,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,6,7,2,3,8,5,4]=>[8,3,2,7,6,1,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,5,6,3,8,7,4]=>[8,7,4,3,6,1,2,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [8,2,4,3,1,6,5,7]=>[1,7,5,6,8,3,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,2,6,3,5,1,8,7]=>[5,7,3,6,4,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,2,1,5,8,7,3]=>[5,3,7,8,4,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,5,2,1,8,7,3]=>[5,3,4,7,8,1,2,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,1,6,4,3,8,7,5]=>[7,8,3,5,6,1,2,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,2,1,6,7,3,5]=>[5,1,7,8,3,2,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,2,1,4,3,7,5]=>[3,1,7,8,5,6,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,4,3,1,7,5]=>[3,1,7,5,6,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,7,2,4,3,1,5]=>[3,1,2,7,5,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,8,4,6,5,3,7]=>[7,8,1,5,3,4,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,6,4,8,5,7,3]=>[7,8,3,5,1,4,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,5,2,8,3,7,1]=>[5,3,4,7,1,6,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,5,8,3,7,1]=>[7,3,5,4,1,6,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,8,5,3,7,1]=>[3,7,5,1,4,6,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,3,5,8,7,1]=>[5,7,3,6,4,1,2,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,6,3,8,7,5,1]=>[5,7,3,6,1,2,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,2,4,3,8,5,7,1]=>[3,7,5,6,1,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,3,6,5,1,7]=>[1,7,5,6,3,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,6,5,2,1,3,7]=>[1,5,3,4,7,8,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,4,8,5,2,1,7,3]=>[3,5,1,4,7,8,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,4,8,5,7,2,1,3]=>[3,5,1,4,2,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,8,7,5,2,1,3]=>[5,3,1,2,4,7,8,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,1,4,8,6,7,3,5]=>[7,8,5,1,3,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,8,7,4,5,1,3]=>[7,3,1,2,5,4,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,8,6,7,5,1,3]=>[7,5,1,3,2,4,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,6,5,7,1,3]=>[5,7,1,3,4,2,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,6,4,5,1,3,7]=>[1,7,3,5,4,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,6,2,1,5,3,7]=>[1,5,3,7,8,4,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,8,7,2,1,5,3]=>[5,3,1,2,7,8,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,5,8,2,1,7,3]=>[5,3,4,1,7,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,8,4,3,7,5]=>[7,8,3,1,5,6,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,7,4,2,1,3,5]=>[3,1,2,5,7,8,6,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,8,6,4,7,1,3,5]=>[7,1,3,5,2,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,6,2,1,7,3,5]=>[5,1,3,7,8,2,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,4,8,3,5,6,1]=>[7,2,5,1,6,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,3,8,4,2,5,1]=>[3,2,6,1,5,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,3,8,4,2,1,5]=>[3,2,6,1,5,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,8,4,3,5,2,6]=>[8,2,1,5,6,4,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,4,8,3,5,2,6]=>[2,8,5,1,6,4,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,8,1,5,6,2,3]=>[2,5,1,8,4,3,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,8,4,3,5,6,2]=>[2,8,1,5,6,4,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,3,1,8,4,5,2]=>[3,2,6,8,1,5,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,8,4,5,2,1]=>[3,2,6,1,5,4,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,1,4,8,3,5,2]=>[3,2,8,5,1,6,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,1,3,8,2,5]=>[3,2,5,8,6,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,7,8,4,3,1,5]=>[3,7,2,1,5,6,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,7,8,4,3,5,1]=>[3,7,2,1,5,6,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,7,4,8,3,5,1]=>[7,3,2,5,1,6,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,4,8,3,1,5]=>[7,3,2,5,1,6,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,3,6,2,4,5]=>[2,1,8,6,3,7,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,7,8,5,3,1,4]=>[7,3,2,1,4,6,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,6,7,8,5,3,4,1]=>[7,3,2,1,4,6,5,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,2,7,8,4,5,3,1]=>[3,7,2,1,5,4,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,2,8,4,5,6,3]=>[8,2,7,1,5,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,8,1,5,6,2,4]=>[6,2,1,8,4,3,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,7,8,1,5,2,4]=>[3,6,2,1,8,4,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,2,8,5,3,4]=>[3,2,8,7,1,4,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,7,8,4,2,5,3]=>[8,3,2,1,5,7,4,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,1,2,7,6,5,8,4]=>[6,8,7,2,3,4,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,2,4,7,3,8,5]=>[3,8,7,5,2,6,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,3,6,4,8,2]=>[8,2,4,6,3,5,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,6,7,4,8,3]=>[4,8,7,3,2,5,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,7,3,2,6,8]=>[5,8,4,2,6,7,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,1,7,3,2,5,8]=>[5,3,8,2,6,7,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,1,8,3,2,5,7]=>[5,3,8,1,6,7,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,1,8,3,5,2,6]=>[5,2,8,1,6,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,7,8,6,2,3,5]=>[5,8,2,1,3,7,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,5,7,8,3,4,2]=>[8,3,4,2,1,6,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,8,7,3,4,2]=>[8,3,4,1,2,6,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,7,6,2,3,5]=>[5,8,1,2,3,7,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,8,1,7,3,5,2,6]=>[5,1,8,2,6,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,1,6,3,2,5,7]=>[5,1,8,3,6,7,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,1,6,3,2,5,8]=>[5,2,8,3,6,7,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,2,3,7,5,4,8]=>[3,8,7,6,2,4,5,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,1,5,3,7,2,4]=>[3,1,8,4,6,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,7,3,4,8,6,2]=>[8,4,2,6,5,1,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,8,3,4,7,6,2]=>[8,4,1,6,5,2,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,5,2,4,1,6,3]=>[2,1,4,7,5,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,3,5,6,4,8]=>[2,8,7,6,4,3,5,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,2,3,5,6,4,7]=>[1,8,7,6,4,3,5,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,2,3,5,4,7,6]=>[1,8,7,6,4,5,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,8,4,6,3,2,5]=>[2,8,1,5,3,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,2,4,3,1,5,7]=>[3,1,7,5,6,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,2,4,3,1,5,8]=>[3,2,7,5,6,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,1,2,4,5,7,6]=>[6,1,8,7,5,4,2,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,7,1,8,6,4,2,5]=>[6,2,8,1,3,5,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,4,3,7,5,8,2]=>[8,3,5,6,2,4,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,6,7,5,8,4]=>[6,8,7,3,2,4,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,1,7,6,4,2,5]=>[6,1,8,2,3,5,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,7,4,6,3,2,5]=>[1,8,2,5,3,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,7,6,5,3,2,4]=>[1,8,2,3,4,6,7,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,5,7,3,4,6,8,2]=>[8,4,2,6,5,3,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,1,2,3,5,4,8,6]=>[2,8,7,6,4,5,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,3,5,8,4,7]=>[3,8,7,6,4,1,5,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,3,5,7,4,8]=>[3,8,7,6,4,2,5,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,3,7,6,4,8]=>[4,8,7,6,2,3,5,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,3,8,6,4,7]=>[4,8,7,6,1,3,5,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,6,3,4,7,8,2]=>[8,4,3,6,5,2,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,4,5,2,3,8,6,1]=>[2,5,4,7,6,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,3,7,4,5,1,6]=>[1,7,6,2,5,4,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,7,3,2,5,1,6]=>[1,5,2,6,7,4,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,6,3,1,2,8,7]=>[4,5,3,6,8,7,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,6,2,3,1,5,8,7]=>[5,3,7,6,8,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,4,5,8,6,1]=>[2,7,6,5,4,1,3,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,2,3,4,5,7,1,6]=>[1,7,6,5,4,2,8,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,3,4,6,8,5,1,2]=>[2,6,5,3,1,4,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,2,8,6,1,5]=>[5,2,6,7,1,3,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,4,5,1,8,6,2]=>[6,2,5,4,8,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,2,6,7,4,5,1]=>[6,1,7,3,2,5,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,1,5,6,7,3,2]=>[5,1,8,4,3,2,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,8,2,4,6,7,1,3]=>[4,1,7,5,3,2,8,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,8,1,3,4,2,7,5]=>[3,1,8,6,5,7,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,2,4,3,1,7,6]=>[4,1,7,5,6,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,7,6,8,5,3,4]=>[7,8,2,3,1,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,6,1,8,5,2,4]=>[6,2,3,8,1,4,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,2,3,8,5,1,6]=>[5,2,7,6,1,4,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,6,4,8,5,2]=>[2,8,6,3,5,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,3,7,8,5,4,1]=>[3,7,6,2,1,4,5,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,3,8,4,5,1,7]=>[3,7,6,1,5,4,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,3,5,7,1,4,6]=>[1,7,6,4,2,8,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,4,8,3,5,1,7,2]=>[3,5,1,6,4,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,3,6,7,1,2]=>[4,5,1,6,3,2,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,1,8,4,6,7,2]=>[6,4,8,1,5,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,1,8,4,5,2,7]=>[6,3,8,1,5,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,8,3,5,2,7,1]=>[5,3,1,6,4,7,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,3,2,4,1,6]=>[4,2,1,6,7,5,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,2,3,5,6,1,7]=>[5,1,7,6,4,3,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,8,2,3,1,4,5,7]=>[3,1,7,6,8,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,7,4,8,3,1,6]=>[4,7,2,5,1,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,8,2,1,4,6,5]=>[6,2,1,7,8,5,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,5,2,8,4,1,6]=>[6,2,4,7,1,5,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,4,8,5,1,6]=>[2,7,6,5,1,4,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,3,1,4,2,6,8]=>[4,2,6,8,5,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,7,4,8,1,2,5]=>[3,6,2,5,1,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,7,4,2,6,1,5]=>[1,6,2,5,7,3,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,4,1,5,6,2,8]=>[6,2,5,8,4,3,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,3,2,4,5,7,6]=>[8,1,6,7,5,4,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,3,5,2,7,4,1,6]=>[1,6,4,7,2,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,3,8,7,6,4,2]=>[8,4,6,1,2,3,5,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,2,4,8,1,3,6,5]=>[2,7,5,1,8,6,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,8,7,5,6,3,4]=>[8,7,1,2,4,3,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,1,8,6,7,5,2,4]=>[6,8,1,3,2,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,8,6,5,7,2,3]=>[8,5,1,3,4,2,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,4,8,2,3,7]=>[8,3,4,5,1,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,6,8,3,4,2,7]=>[4,8,3,1,6,5,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,1,7,4,3,8]=>[3,7,4,8,2,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,6,3,8,1,4,7]=>[4,7,3,6,1,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,8,3,4,6,1,7]=>[4,7,1,6,5,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,8,4,3,1,7,5]=>[3,7,1,5,6,8,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,2,8,1,3,6,5,4]=>[2,7,1,8,6,3,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,3,8,1,4,6,2,5]=>[2,6,1,8,5,3,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,7,8,5,4,6,3,2]=>[8,2,1,4,5,3,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,8,4,6,3,7,2]=>[8,4,1,5,3,6,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,4,1,2,7,6]=>[4,6,1,5,8,7,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,4,3,6,2,1,7]=>[4,1,5,6,3,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,3,6,5,2,7,4]=>[8,1,6,3,4,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,2,4,7,6,5,3]=>[8,1,7,5,2,3,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,8,1,4,6,7,5,2]=>[6,1,8,5,3,2,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,8,2,5,1,7,6,4]=>[6,1,7,4,8,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,8,2,5,1,6,7]=>[5,6,1,7,4,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,4,3,5,1,7,6]=>[1,7,5,6,4,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,3,4,5,7,6,2]=>[1,8,6,5,4,2,3,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,5,2,4,7,8,3]=>[3,8,4,7,5,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,1,8,5,2,7,6,3]=>[5,8,1,4,7,2,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,5,1,3,6,2,7]=>[5,1,4,8,6,3,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,5,7,2,8,4]=>[6,3,8,4,2,7,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,8,2,3,7,5,6]=>[5,8,1,7,6,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,8,7,2,1,4,6]=>[4,6,1,2,7,8,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,7,3,5,1,4,8,2]=>[3,2,6,4,8,5,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,7,5,8,2,3,1]=>[3,5,2,4,1,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,7,8,4,2,6,3,1]=>[4,2,1,5,7,3,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,4,1,6,8,3,2]=>[4,2,5,8,3,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,4,5,7,1,3,2]=>[3,1,5,4,2,8,6,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,6,1,7,3,2]=>[4,1,5,3,8,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,1,4,7,8,3,2]=>[4,3,8,5,2,1,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,6,7,2,4,8,3,1]=>[4,3,2,7,5,1,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,3,7,4,8,2,1]=>[4,3,6,2,5,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,7,4,8,2,1]=>[4,6,3,2,5,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,8,2,6,7,3,1]=>[4,5,1,7,3,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,4,8,5,7,2,3,1]=>[3,5,1,4,2,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,8,5,6,2,1,3]=>[2,5,1,4,3,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,8,5,7,2,3,1]=>[5,3,1,4,2,7,6,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,8,4,7,2,1]=>[4,3,6,1,5,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,3,5,8,7,2,1]=>[5,3,6,4,1,2,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,6,3,2,8,7,5,1]=>[5,3,6,7,1,2,4,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,3,8,2,7,4,1]=>[4,3,6,1,7,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,8,2,7,4,1]=>[4,6,3,1,7,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,2,8,6,5,1]=>[5,6,2,7,1,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,4,7,2,6,8,3,1]=>[4,5,2,7,3,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,3,8,5,2,4,1]=>[3,2,6,1,4,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,2,5,3,8,1]=>[3,5,2,7,4,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,5,1,4,8,3]=>[3,7,2,4,8,5,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,8,5,3,6,1,4]=>[7,2,1,4,6,3,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,7,8,4,6,2,1]=>[6,4,2,1,5,3,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,3,7,8,4,6,2,1]=>[4,6,2,1,5,3,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,8,2,4,6,3,1]=>[4,2,1,7,5,3,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,8,4,3,7,6,1]=>[7,4,1,5,6,2,3,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,8,4,7,3,5,1]=>[7,3,1,5,2,6,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,8,6,2,1,5]=>[6,2,5,1,3,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,4,8,7,2,5,1]=>[6,3,5,1,2,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,4,8,2,7,6,1]=>[6,4,5,1,7,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,5,8,6,2,1]=>[5,6,2,4,1,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,5,7,3,8,6,2,1]=>[5,4,2,6,1,3,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,6,8,4,7,2,1]=>[6,4,3,1,5,2,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,4,8,1,7,6,3,2]=>[4,5,1,8,2,3,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,8,4,1,7,6,3,2]=>[4,1,5,8,2,3,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,8,2,5,6,3,4,7]=>[8,1,7,4,3,6,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,8,4,5,1,3,6]=>[2,7,1,5,4,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,3,7,5,6,2,4,8]=>[8,6,2,4,3,7,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,7,4,3,5,2,8]=>[8,3,2,5,6,4,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,5,2,3,7,4,6]=>[8,1,4,7,6,2,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,5,3,6,7,4]=>[8,1,7,4,6,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,8,4,3,5,7,1]=>[7,3,1,5,6,4,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,5,8,3,2,1,6,4]=>[2,4,1,6,7,8,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,2,8,4,1,5,6,3]=>[2,7,1,5,8,4,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,8,1,2,6,3,4]=>[2,4,1,8,7,3,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,7,4,3,2,8,5]=>[8,3,2,5,6,7,1,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,5,2,6,4,7,8,3]=>[8,4,7,3,5,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,4,6,2,3,7,8]=>[8,4,5,3,7,6,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,5,7,1,4,8,3]=>[3,7,4,2,8,5,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,6,8,5,2,4,1]=>[2,6,3,1,4,7,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,8,3,6,5,1,4]=>[7,2,1,6,3,4,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,8,5,4,6,3,1]=>[7,2,1,4,5,3,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,5,8,3,4,1,7]=>[7,3,4,1,6,5,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,7,3,4,1,8]=>[7,3,4,2,6,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,7,4,1,3,8]=>[3,7,4,2,5,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,5,8,4,1,3,7]=>[3,7,4,1,5,8,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,4,6,1,3,5]=>[7,2,1,5,3,8,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,2,8,3,7,4,5]=>[3,8,7,1,6,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,8,5,4,7,3]=>[3,8,7,1,4,5,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,5,7,8,1,3,4]=>[3,7,4,2,1,8,6,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,2,6,7,3,8]=>[8,4,5,7,3,2,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,5,7,3,8,1,4]=>[7,3,4,2,6,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,7,5,8,4,3]=>[8,3,7,2,4,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,2,7,8,5,6,4]=>[8,6,7,2,1,4,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,4,8,7,3,5]=>[8,3,7,5,1,2,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,3,7,8,4,1]=>[7,3,4,6,2,1,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,5,3,8,4,7,1]=>[3,7,4,6,1,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,4,2,3,7,8,6]=>[4,8,5,7,6,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,5,4,2,6,3,8,7]=>[8,4,5,7,3,6,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,3,8,2,7,4]=>[4,8,3,6,1,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,7,6,2,5,4,3]=>[8,1,2,3,7,4,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,5,3,7,1,6]=>[7,5,1,4,6,2,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,1,8,5,3,7,6]=>[7,5,8,1,4,6,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,8,6,3,1,7,5]=>[7,5,1,3,6,8,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,4,6,8,2,1,7,5]=>[6,5,3,1,7,8,2,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,1,5,8,2,7,6]=>[6,5,8,4,1,7,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,4,5,3,2,7,6]=>[1,8,5,4,6,7,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,1,5,2,8,7,6]=>[6,5,8,4,7,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,6,2,1,8,7,5]=>[6,5,3,7,8,1,2,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,6,2,1,7,8,4]=>[6,4,3,7,8,2,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,6,2,7,8,1,5]=>[6,5,3,7,2,1,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,4,6,3,7,2,5]=>[1,8,5,3,6,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,6,3,7,5,2]=>[1,8,5,3,6,2,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,6,2,1,7,4,8]=>[6,4,3,7,8,2,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,1,5,6,7,3,4,2]=>[1,8,4,3,2,6,5,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,5,6,7,3,2,4]=>[1,8,4,3,2,6,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,6,8,7,2,5]=>[6,5,8,3,1,2,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,1,8,7,2,4]=>[6,4,3,8,1,2,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,3,8,6,7,4,5]=>[7,8,6,1,3,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,2,6,7,5,4]=>[1,8,6,7,3,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,3,8,6,7,1,5,4]=>[7,6,1,3,2,8,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,8,6,7,5,3]=>[7,5,8,1,3,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,8,6,1,7,4,3]=>[7,4,1,3,8,2,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,6,1,8,7,4,2]=>[6,4,3,8,1,2,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,1,6,8,7,5,2]=>[6,5,8,3,1,2,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,6,8,7,1,5,2]=>[6,5,3,1,2,8,4,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [8,1,4,6,2,7,5,3]=>[1,8,5,3,7,2,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,1,6,7,8,4,2]=>[6,4,8,3,2,1,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,6,1,7,8,3,2]=>[5,4,3,8,2,1,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,6,1,7,3,8,2]=>[5,4,3,8,2,6,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,6,7,4,8,2]=>[6,4,8,3,2,5,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,5,6,7,4,2,3]=>[1,8,4,3,2,5,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,5,6,7,4,3,2]=>[1,8,4,3,2,5,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,1,6,7,4,2,8]=>[6,4,8,3,2,5,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,6,1,7,3,2,8]=>[5,4,3,8,2,6,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,8,7,4,3,1,2]=>[3,4,1,2,5,6,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,1,4,8,7,5,2,3]=>[3,8,5,1,2,4,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,4,8,7,5,2,3]=>[8,3,5,1,2,4,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,6,2,4,7,3,5]=>[8,1,3,7,5,2,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,6,2,4,7,3,5]=>[1,8,3,7,5,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,6,3,4,7,2,5]=>[1,8,3,6,5,2,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,6,3,4,7,2,5]=>[8,1,3,6,5,2,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,2,5,4,8,3,6]=>[8,2,7,4,5,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,2,5,4,8,3,6]=>[2,8,7,4,5,1,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,5,4,8,3,6]=>[7,2,8,4,5,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,3,4,7,1,5]=>[7,1,3,6,5,2,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,6,1,4,7,3,5]=>[7,1,3,8,5,2,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,7,5,4,8,1,6]=>[6,7,2,4,5,1,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,8,4,7,3,1,6]=>[7,4,1,5,2,6,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,7,5,4,8,1,6]=>[7,6,2,4,5,1,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,3,2,4,7,1,5]=>[3,1,6,7,5,2,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,5,4,8,1,6]=>[6,2,7,4,5,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,5,4,8,2,6]=>[6,8,2,4,5,1,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,7,5,4,8,2,6]=>[8,6,2,4,5,1,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,8,4,7,3,2,6]=>[8,4,1,5,2,6,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,4,7,3,2,6]=>[4,8,1,5,2,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,2,4,7,3,1,6]=>[4,1,7,5,2,6,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,4,3,7,5,1,2]=>[3,1,5,6,2,4,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,5,4,7,3,2,6]=>[1,8,4,5,2,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,8,5,4,7,3,2,6]=>[8,1,4,5,2,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,4,6,8,2,1]=>[4,6,2,5,3,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,3,2,7,8,5,6]=>[5,8,6,7,2,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,3,2,7,8,5,6]=>[8,5,6,7,2,1,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,3,1,7,8,5,6]=>[7,5,6,8,2,1,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,3,5,4,8,1,6]=>[7,2,6,4,5,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,5,4,7,3,1,6]=>[7,1,4,5,2,6,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,3,4,6,8,2,1]=>[4,2,6,5,3,1,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,2,5,4,7,3,1,6]=>[1,7,4,5,2,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,7,6,4,3,5,2]=>[1,8,2,3,5,6,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,8,6,4,3,5,2]=>[2,8,1,3,5,6,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,3,6,5,2,1,4,8]=>[2,6,3,4,7,8,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,3,6,5,2,1,7,4]=>[1,6,3,4,7,8,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,3,6,5,2,1,8,4]=>[2,6,3,4,7,8,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,5,8,6,4,2,1,3]=>[2,4,1,3,5,7,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,8,2,6,4,1,3,7]=>[4,1,7,3,5,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,5,2,1,4,7,8]=>[3,6,4,7,8,5,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,5,8,6,3,1,4,7]=>[7,4,1,3,6,8,5,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,3,5,8,1,4,7,6]=>[7,6,4,1,8,5,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,6,8,1,5,7,4]=>[7,6,3,1,8,4,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,3,8,5,2,7,1,4]=>[3,6,1,4,7,2,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,7,5,2,1,4,8]=>[3,6,2,4,7,8,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,7,6,3,1,4,8]=>[7,4,2,3,6,8,5,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,8,7,6,3,1,5,4]=>[7,1,2,3,6,8,4,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,5,8,7,6,3,1,4]=>[7,4,1,2,3,6,8,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,4,8,1,6,5,7,3]=>[7,5,1,8,3,4,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,7,3,6,1,4,5]=>[7,1,2,6,3,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,5,2,1,4,6,8]=>[2,6,4,7,8,5,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,3,6,8,1,4,7,5]=>[7,6,3,1,8,5,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,7,8,6,3,1,4,5]=>[7,2,1,3,6,8,5,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,3,8,5,2,1,4,6]=>[2,6,1,4,7,8,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,3,6,1,8,4,7,5]=>[7,6,3,8,1,5,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,3,1,4,5,7]=>[7,1,3,6,8,5,4,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,3,5,2,1,4,6,7]=>[1,6,4,7,8,5,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,4,8,1,3,7,5,6]=>[7,5,1,8,6,2,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,8,1,7,3,6,4]=>[7,4,1,8,2,6,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,1,5,7,3,6,4]=>[7,1,8,4,2,6,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,1,4,7,5,2]=>[6,1,3,8,5,2,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,8,1,5,7,3,4]=>[7,3,1,8,4,2,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,1,5,8,3,4,6]=>[7,2,8,4,1,6,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,1,6,3,8,4,5]=>[7,2,8,3,6,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,6,1,8,5,2,3]=>[5,2,3,8,1,4,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,8,1,2,6,4]=>[6,2,4,1,8,7,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,6,1,2,8,4,5]=>[2,6,3,8,7,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,8,1,6,5,2,3]=>[2,5,1,8,3,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,6,1,8,2,5,3]=>[2,5,3,8,1,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,5,8,6,1,2,3]=>[2,5,4,1,3,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,4,5,1,7,2,3]=>[3,1,5,4,8,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,8,5,1,7,2,3]=>[5,3,1,4,8,2,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,1,7,6,2,3,8,4]=>[4,8,2,3,7,6,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,1,7,6,2,8,3,4]=>[4,8,2,3,7,1,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,8,7,6,2,3,4]=>[4,8,1,2,3,7,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,6,1,8,4,7,5,2]=>[6,3,8,1,5,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,1,8,7,5,2,3]=>[5,3,8,1,2,4,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,4,6,1,7,5,2,3]=>[1,5,3,8,2,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,5,1,7,2,3,6]=>[5,1,4,8,2,7,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,8,7,2,3,6]=>[5,4,8,1,2,7,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,8,7,1,2,5,6]=>[6,5,1,2,8,7,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,8,4,1,7,2,3,6]=>[4,1,5,8,2,7,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,8,7,1,2,5,3]=>[3,5,1,2,8,7,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,8,3,7,1,4,2]=>[4,3,1,6,2,8,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,7,1,2,8,5,3]=>[3,5,2,8,7,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,4,1,8,2,3,6]=>[4,2,5,8,1,7,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,8,7,4,1,2,3]=>[4,3,1,2,5,8,7,6]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,8,5,7,4,1,2,3]=>[3,1,4,2,5,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,8,1,5,2,4,6]=>[2,6,1,8,4,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,7,5,3,6,2,8]=>[5,8,2,4,6,3,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,4,2,3,6,7,5]=>[8,1,5,7,6,3,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,8,3,4,6,7,1]=>[7,4,1,6,5,3,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,7,2,3,6,8,5]=>[5,8,2,7,6,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,2,1,5,7,8,3]=>[5,3,7,8,4,2,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,2,3,1,7,8,6]=>[5,4,7,6,8,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,6,7,4,1,8,5]=>[6,7,3,2,5,8,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,2,7,1,4,8,3]=>[4,3,7,2,8,5,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,8,1,7,4,5]=>[3,7,6,1,8,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,8,3,4,7,1,5]=>[7,3,1,6,5,2,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,2,7,5,1,3,8]=>[5,3,7,2,4,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,3,1,8,4,5,7]=>[7,3,6,8,1,5,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,3,7,8,1,5,6]=>[7,5,6,2,1,8,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,2,7,6,8,4,3]=>[4,8,7,2,3,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,3,1,8,7,4,5]=>[7,3,6,8,1,2,5,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,4,7,8,1,2]=>[6,4,3,5,2,1,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,6,4,2,8,7,1]=>[4,6,3,5,7,1,2,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,8,2,5,7,3,6]=>[5,8,1,7,4,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,8,4,7,2,5,6]=>[6,8,1,5,2,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,3,8,4,1,7,5]=>[3,7,6,1,5,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,4,1,5,3,8,7]=>[7,3,5,8,4,6,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,1,7,8,3,4]=>[7,3,4,8,2,1,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,5,2,1,6,3,8]=>[5,2,4,7,8,3,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,2,3,7,8,1,6,5]=>[5,7,6,2,1,8,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,3,1,7,2,4,6]=>[4,1,6,8,2,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,1,5,2,4,7]=>[3,1,6,8,4,7,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,7,1,6,3,5,8]=>[5,7,2,8,3,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,7,4,2,6,3,8]=>[4,8,2,5,7,3,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,4,2,1,5,3,7]=>[3,1,5,7,8,4,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,8,5,2,1,7,3,4]=>[3,1,4,7,8,2,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,2,1,4,7,3,6]=>[4,1,7,8,5,2,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,4,3,1,5,7,2]=>[3,1,5,6,8,4,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,8,4,2,1,5,7,3]=>[3,1,5,7,8,4,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,8,3,2,1,4,5,7]=>[3,1,6,7,8,5,4,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,1,7,3,2,4,6,8]=>[4,8,2,6,7,5,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,3,8,1,6,2,7,5]=>[5,6,1,8,3,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,7,2,1,6,8,3]=>[4,5,2,7,8,3,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,8,4,2,7,3,5]=>[3,8,1,5,7,2,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,2,8,1,7,3,5,6]=>[5,7,1,8,2,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,3,8,7,2,1,5,6]=>[5,6,1,2,7,8,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,1,5,8,4,7,3,6]=>[7,8,4,1,5,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,4,5,7,1,2]=>[6,1,3,5,4,2,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,8,3,7,4,6,1]=>[4,7,1,6,2,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,5,4,7,3,1]=>[3,7,1,4,5,2,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,6,3,7,4,2,5]=>[8,1,3,6,2,5,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,6,5,7,2,3,4]=>[8,1,3,4,2,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,8,4,3,6,7,1]=>[4,7,1,5,6,3,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,8,4,3,7,1,6]=>[4,7,1,5,6,2,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,8,3,7,4,1,5]=>[3,7,1,6,2,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,8,4,3,1,5,6]=>[2,7,1,5,6,8,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,6,8,1,2,5,3,4]=>[2,3,1,8,7,4,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,5,4,3,2,8,7]=>[3,8,4,5,6,7,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,6,5,7,3,4,2]=>[1,8,3,4,2,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,6,2,5,3,1,4]=>[2,1,3,7,4,6,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,3,5,2,8,4,7]=>[3,8,6,4,7,1,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,7,4,2,5,6]=>[1,8,6,2,5,7,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,8,7,5,2,1,6]=>[5,6,1,2,4,7,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,7,1,8,5,3,4,2]=>[3,2,8,1,4,6,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,6,4,8,3,5,1]=>[7,2,3,5,1,6,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,6,1,3,2,8,5]=>[2,5,3,8,6,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,6,3,1,5,2]=>[1,5,2,3,6,8,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,4,7,5,6,1,8,2]=>[6,5,2,4,3,8,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,5,6,3,8,1]=>[7,5,2,4,3,6,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,7,1,4,8,2]=>[6,4,3,2,8,5,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,7,6,1,3,4,8,5]=>[7,2,3,8,6,5,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,2,1,6,3,8,4]=>[4,2,7,8,3,6,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,5,6,3,8,1]=>[5,2,7,4,3,6,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,5,3,8,1,6]=>[7,2,5,4,6,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,7,1,3,2,5,4]=>[3,1,2,8,6,7,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,5,7,1,4,3]=>[7,1,3,4,2,8,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,3,2,6,7,1]=>[4,1,5,6,7,3,2,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,5,6,2,4,7,3]=>[8,1,4,3,7,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,5,6,2,4,7,3]=>[1,8,4,3,7,5,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,8,1,3,2,7,5]=>[3,5,1,8,6,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,5,2,8,6,7,3]=>[8,5,4,7,1,3,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,7,8,6,4,5]=>[7,6,8,2,1,3,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,7,6,2,8,1,4]=>[6,4,2,3,7,1,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,6,1,2,8,7,3]=>[5,4,3,8,7,1,2,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [8,4,5,2,1,6,7,3]=>[1,5,4,7,8,3,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,2,6,8,4,7,5]=>[6,8,7,3,1,5,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,2,7,8,4,6]=>[4,8,6,7,2,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,4,2,7,8,3,6]=>[8,4,5,7,2,1,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,7,8,3,1,5,2]=>[5,3,2,1,6,8,4,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,2,8,6,3,4,7,1]=>[4,7,1,3,6,5,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,8,4,3,2,7,1]=>[4,3,1,5,6,7,2,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,3,8,1,7,2,4,6]=>[4,6,1,8,2,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,7,8,4,2,1,5]=>[6,3,2,1,5,7,8,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [6,3,8,4,2,1,7,5]=>[3,6,1,5,7,8,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,5,8,3,1,6,7,4]=>[7,4,1,6,8,3,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,8,1,2,6,7,4]=>[6,4,1,8,7,3,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,8,1,5,6,7,4]=>[6,7,1,8,4,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,5,8,3,2,6,7,4]=>[8,4,1,6,7,3,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,8,6,2,4,7,5]=>[8,6,1,3,7,5,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,7,8,4,6,1,5]=>[6,7,2,1,5,3,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,8,3,4,6,7,2]=>[4,8,1,6,5,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,8,7,2,1,6,3,5]=>[5,1,2,7,8,3,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,1,6,3,4,7,5]=>[7,1,8,3,6,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,4,2,1,6,5,7]=>[1,6,5,7,8,3,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,2,5,8,1,3]=>[3,5,2,7,4,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,4,5,2,6,3,1,7]=>[1,5,4,7,3,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,5,8,3,6,1,7]=>[7,5,4,1,6,3,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,5,8,1,2,6,4,7]=>[6,4,1,8,7,3,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,6,1,3,4,2,7]=>[4,1,3,8,6,5,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,4,6,1,3,2,7]=>[4,1,5,3,8,6,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,4,5,2,8,1,6]=>[2,6,5,4,7,1,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,4,3,6,1,8,2]=>[4,2,5,6,3,8,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,3,7,8,5,1]=>[7,3,5,6,2,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,6,5,1,7,8,3]=>[7,5,3,4,8,2,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,7,5,6,8,2,3]=>[8,5,2,4,3,1,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,7,6,5,8,2,3]=>[8,5,2,3,4,1,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,5,2,4,6,8,1]=>[6,2,4,7,5,3,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,7,4,2,8,3]=>[4,3,8,2,5,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,4,8,1,2,6,5]=>[6,2,5,1,8,7,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,7,8,1,4,2]=>[3,6,4,2,1,8,5,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,7,1,8,4,2]=>[6,3,4,2,8,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,7,8,2,1,3,5]=>[3,5,2,1,7,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,3,8,4,1,2,5]=>[3,2,6,1,5,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,3,4,6,1,5]=>[7,2,1,6,5,3,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,8,4,1,3,2,6]=>[2,4,1,5,8,6,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,5,8,3,1,2,6]=>[5,2,4,1,6,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,7,4,8,1,2,5]=>[6,3,2,5,1,8,7,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,3,1,6,8,4,2]=>[4,2,6,8,3,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,3,1,8,6,4,5]=>[7,2,6,8,1,3,5,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,3,1,5,7,6]=>[7,1,5,6,8,4,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,8,1,2,3,5,7,6]=>[5,1,8,7,6,4,2,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,6,8,1,2,4,3,5]=>[2,3,1,8,7,5,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,6,8,5,1,3,2,4]=>[2,3,1,4,8,6,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,5,4,6,1,7,3]=>[7,1,4,5,3,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,5,2,7,6,1,3]=>[1,5,4,7,2,3,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,7,1,3,5,2,8,4]=>[3,2,8,6,4,7,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,3,6,8,1,4]=>[4,2,7,6,3,1,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,7,5,8,1,2]=>[6,5,3,2,4,1,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,4,5,7,6,1,8,2]=>[6,5,4,2,3,8,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,4,5,7,8,3,1]=>[7,3,5,4,2,1,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,8,5,1,6,2,7,4]=>[6,1,4,8,3,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,3,6,8,7,4]=>[7,4,8,6,3,1,2,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,4,6,1,3,7,8,2]=>[4,5,3,8,6,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,3,5,7,1,4,8,2]=>[3,6,4,2,8,5,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,6,8,1,5,2]=>[2,6,5,3,1,8,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,4,1,8,2,5]=>[6,2,3,5,8,1,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,7,8,4,1,5,6,2]=>[6,2,1,5,8,4,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,8,6,7,4,2,1]=>[6,4,1,3,2,5,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,8,1,6,7,3,4,2]=>[4,1,8,3,2,6,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,5,1,8,4,3]=>[3,2,7,4,8,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,2,1,6,7,4,3]=>[4,1,7,8,3,2,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,2,8,6,3,7,1]=>[5,4,7,1,3,6,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,1,2,5,8,4,7]=>[6,3,8,7,4,1,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,5,8,2,3,7,6]=>[8,5,4,1,7,6,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,6,4,5,8,3,7]=>[8,7,3,5,4,1,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,4,6,8,3,7]=>[8,4,7,5,3,1,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,5,8,2,4,7]=>[6,3,8,4,1,7,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,5,1,4,8,3,7]=>[7,3,4,8,5,1,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,6,1,4,8,3,7]=>[4,7,3,8,5,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,1,8,4,7,3,6]=>[7,4,8,1,5,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,4,3,6,8,5]=>[7,2,8,5,6,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,7,5,8,2,4,6]=>[8,6,2,4,1,7,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,8,1,3,7,6]=>[7,4,5,1,8,6,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,1,3,8,6,7,5]=>[7,5,8,6,1,3,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,5,8,2,6,4]=>[8,2,6,4,1,7,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,2,6,7,3,5]=>[8,1,5,7,3,2,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,6,8,7,2,4,5]=>[6,8,3,1,2,7,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,7,6,8,2,4,5]=>[6,8,2,3,1,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,7,2,6,8,3,5]=>[5,8,2,7,3,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,7,2,3,6,8,4]=>[4,8,2,7,6,3,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,1,7,3,5,8,4]=>[7,3,8,2,6,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,2,5,3,6,8,4]=>[2,8,7,4,6,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,3,2,4,6,7,5]=>[1,8,6,7,5,3,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,8,3,4,7,2,5,6]=>[8,1,6,5,2,7,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,8,1,2,7,4,6]=>[6,4,1,8,7,2,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,8,1,2,4,7,5]=>[6,3,1,8,7,5,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,3,8,7,2,6,5]=>[5,8,6,1,2,7,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,7,4,8,2,6,5]=>[8,6,2,5,1,7,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,8,2,3,7,5]=>[8,5,3,1,7,6,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,8,1,7,2,4,6]=>[6,4,1,8,2,7,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,8,1,7,3,4,5]=>[7,3,1,8,2,6,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,8,2,3,7,4]=>[3,8,4,1,7,6,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,3,2,7,5,6,4]=>[8,1,6,7,2,4,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,2,8,5,6,4]=>[6,8,2,7,1,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,7,3,8,1,5,4]=>[7,3,2,6,1,8,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,8,6,1,5,4]=>[6,2,7,1,3,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,8,4,2,6,3]=>[4,8,2,1,5,7,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,8,7,4,2,6,3]=>[4,8,1,2,5,7,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,7,2,8,3,6,5,1]=>[5,2,7,1,6,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,7,8,5,3,6,2]=>[5,8,2,1,4,6,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,4,8,3,6,2]=>[4,8,2,5,1,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,7,5,3,6,2]=>[5,8,1,2,4,6,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,2,7,3,6,5,1]=>[5,1,7,2,6,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,2,6,3,5,8,1]=>[5,2,7,3,6,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,2,4,3,7,5,1]=>[3,1,7,5,6,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,2,4,3,8,5,1]=>[3,2,7,5,6,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,2,7,3,5,4,1]=>[3,1,7,2,6,4,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,7,2,4,1,5,6]=>[6,1,2,7,5,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,8,2,4,1,5,6]=>[6,2,1,7,5,8,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,8,2,4,5,7,1]=>[6,3,1,7,5,4,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,7,2,4,5,8,1]=>[6,3,2,7,5,4,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [8,3,4,7,1,6,2,5]=>[1,6,5,2,8,3,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,1,8,5,2,7]=>[3,6,5,8,1,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,5,2,7,1,6,4]=>[6,1,4,7,2,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,7,5,3,4,1]=>[7,1,3,2,4,6,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,8,7,3,6,4,5]=>[7,8,1,2,6,3,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,5,8,2,4,7,1]=>[6,3,4,1,7,5,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,5,2,7,3,8,1]=>[5,3,4,7,2,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,7,1,8,3,5,4]=>[3,7,2,8,1,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,5,4,8,3,6,1]=>[7,2,4,5,1,6,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,2,3,8,5,4]=>[2,8,3,7,6,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,8,1,3,2,7,5,6]=>[5,1,8,6,7,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,1,4,7,5,2,6]=>[6,1,8,5,2,4,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,8,7,4,5,1,2]=>[3,6,1,2,5,4,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,4,8,5,2,3,7]=>[3,8,5,1,4,7,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,7,4,6,2,1,3]=>[1,4,2,5,3,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,7,8,2,3,5,1]=>[5,3,2,1,7,6,4,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,8,3,2,4,6,1,7]=>[4,1,6,7,5,3,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,6,5,3,1,7,4]=>[1,7,3,4,6,8,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,7,6,5,2,3,1]=>[5,1,2,3,4,7,6,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,1,8,6,4,3,7,5]=>[7,8,1,3,5,6,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,7,6,5,3,8,4]=>[7,8,2,3,4,6,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,7,6,1,3,5,8,4]=>[7,2,3,8,6,4,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,2,5,4,6,1,8,3]=>[2,7,4,5,3,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,6,1,2,5,8,3]=>[5,2,3,8,7,4,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,1,7,6,8,5,3]=>[7,5,8,2,3,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,1,7,8,5,6,2]=>[6,5,8,2,1,4,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,5,6,2,7,3,1,4]=>[1,4,3,7,2,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,5,4,1,7,8,2]=>[3,6,4,5,8,2,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,3,6,7,5,8,2]=>[5,8,6,3,2,4,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,3,8,2,4,6]=>[8,2,4,6,1,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,2,4,5,8,3,6]=>[8,2,7,5,4,1,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,2,5,3,1,6,4,7]=>[1,7,4,6,8,3,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,4,5,8,3,2,6]=>[8,2,5,4,1,6,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,7,8,3,5,1]=>[7,3,5,2,1,6,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,7,8,3,1,5]=>[7,3,5,2,1,6,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,6,4,7,8,3,5]=>[8,7,3,5,2,1,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,4,5,8,1,3,6]=>[7,2,5,4,1,8,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,5,3,1,8,4,6]=>[7,2,4,6,8,1,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,1,4,7,8,3,5,2]=>[3,8,5,2,1,6,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,7,8,1,5,2]=>[6,3,5,2,1,8,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,7,1,8,5,2]=>[5,6,3,2,8,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,7,1,8,2,5]=>[5,6,3,2,8,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,4,7,8,1,2,5]=>[6,3,5,2,1,8,7,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,6,4,1,7,8,5]=>[7,6,3,5,8,2,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,2,1,5,3,8,6]=>[5,2,7,8,4,6,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,5,2,1,8,6]=>[6,2,5,4,7,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,6,4,7,2,8,5]=>[8,6,3,5,2,7,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,7,2,8,5,1]=>[6,3,5,2,7,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,3,4,2,7,8,6]=>[4,8,6,5,7,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,7,3,8,2,5,4]=>[3,8,2,6,1,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,7,3,8,2,5,4]=>[8,3,2,6,1,7,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,7,8,5,2,3]=>[3,8,5,2,1,4,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,7,3,1,8,5,4]=>[3,7,2,6,8,1,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,4,7,8,1,5,3]=>[3,7,5,2,1,8,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,3,1,8,5,4]=>[7,3,2,6,8,1,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,4,7,8,3,2,5,1]=>[3,5,2,1,6,7,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,4,7,1,2,5,6]=>[6,1,5,2,8,7,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,6,1,5,3,2,7]=>[5,1,3,8,4,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,6,4,1,3,2,7]=>[4,1,3,5,8,6,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,3,6,4,5,2,1,7]=>[1,6,3,5,4,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,5,7,4,2,3,1]=>[3,1,4,2,5,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,8,7,1,6,4,5]=>[7,6,1,2,8,3,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,3,7,8,1,6,2,5]=>[5,6,2,1,8,3,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,8,7,4,1,2,6]=>[6,4,1,2,5,8,7,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,3,8,4,1,2,5,6]=>[2,6,1,5,8,7,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,8,1,2,7,3,5,6]=>[5,1,8,7,2,6,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,1,2,7,4,5,3]=>[3,1,8,7,2,5,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,8,4,1,3,7,2]=>[4,3,1,5,8,6,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,7,3,6,4,1]=>[7,4,1,2,6,3,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,8,7,5,6,1,3]=>[7,5,1,2,4,3,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,4,8,5,6,2,1]=>[6,2,5,1,4,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,4,8,7,5,1,2,3]=>[3,5,1,2,4,8,7,6]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,8,5,2,4,6,7,1]=>[6,1,4,7,5,3,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,1,8,4,6,2,3]=>[4,2,8,1,5,3,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,8,7,2,1,4,5]=>[3,6,1,2,7,8,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,3,7,8,5,6,1,4]=>[7,6,2,1,4,3,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,7,6,8,5,1,2,4]=>[6,2,3,1,4,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,7,8,5,1,3,4]=>[7,3,2,1,4,8,6,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,7,8,1,6,3,5]=>[7,5,2,1,8,3,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,4,7,8,2,6,3,1]=>[4,5,2,1,7,3,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,3,4,1,5,7,6]=>[7,1,6,5,8,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,3,4,1,2,7,5]=>[3,1,6,5,8,7,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,7,1,5,2,3,4]=>[3,1,2,8,4,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,3,2,7,6,1,4]=>[4,1,6,7,2,3,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,1,8,6,7,4]=>[7,4,6,8,1,3,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,2,8,6,7,1]=>[5,4,6,7,1,3,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,6,1,4,7,2]=>[6,4,1,3,8,5,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,8,5,6,1,4,7,3]=>[7,1,4,3,8,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,6,1,5,2,7,3]=>[5,1,3,8,4,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,2,3,7,6,1,4]=>[4,1,7,6,2,3,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,8,5,3,2,7,1]=>[5,3,1,4,6,7,2,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,4,8,5,1,7,3]=>[7,3,5,1,4,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,8,6,5,2,7,1]=>[6,5,1,3,4,7,2,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,4,8,7,5,6,2,1]=>[6,5,1,2,4,3,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,1,3,8,6,7,4]=>[7,4,8,6,1,3,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,2,8,6,7,3]=>[5,4,8,7,1,3,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,8,1,3,6,7,2]=>[4,5,1,8,6,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,3,5,4,1,6,7,2]=>[1,6,4,5,8,3,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,4,8,5,6,1,2]=>[2,6,5,1,4,3,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,7,2,4,8,3]=>[3,8,4,2,7,5,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,5,1,2,3,8,6]=>[2,5,4,8,7,6,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,4,7,6,2,1,5,3]=>[1,5,2,3,7,8,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,4,6,5,7,1,3,2]=>[1,5,3,4,2,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,7,6,4,1,8,2]=>[6,4,2,3,5,8,1,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,5,2,1,3,8,6]=>[5,2,4,7,8,6,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,2,3,6,4,8,1]=>[4,2,7,6,3,5,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,4,8,3,6,1]=>[4,2,7,5,1,6,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,4,8,6,3,5]=>[8,2,7,5,1,3,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,2,1,8,5,6]=>[5,2,6,7,8,1,4,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,1,7,2,5,8,4,6]=>[6,8,2,7,4,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,7,6,1,2,5,3]=>[5,1,2,3,8,7,4,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,6,1,3,2,5,4]=>[2,1,3,8,6,7,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,7,4,1,3,5]=>[7,1,3,2,5,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,6,4,2,3,1,7]=>[4,1,3,5,7,6,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,3,1,6,5,4,7]=>[7,1,6,8,3,4,5,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,1,2,5,7,4,6]=>[6,1,8,7,4,2,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,8,5,4,2,7,3,1]=>[3,1,4,5,7,2,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,8,3,1,2,4,5,7]=>[3,1,6,8,7,5,4,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,6,8,7,3,1,5,2]=>[5,3,1,2,6,8,4,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,1,3,8,7,5,6,2]=>[5,8,6,1,2,4,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,5,2,1,6,3,7]=>[1,5,4,7,8,3,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,5,6,3,8,2,4]=>[2,8,4,3,6,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,2,4,7,8,3,6]=>[4,8,7,5,2,1,6,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,4,2,8,1,6,7]=>[6,4,5,7,1,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,8,4,2,7,6]=>[4,8,6,1,5,7,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,8,7,3,5,4,1]=>[3,7,1,2,6,4,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,8,4,3,6,5,2]=>[2,8,1,5,6,3,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,8,7,4,1,2,5]=>[6,3,1,2,5,8,7,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,8,1,7,3,2,4]=>[4,3,1,8,2,6,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,6,8,7,4,2,5]=>[6,8,3,1,2,5,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,6,8,2,1,5,3]=>[2,5,3,1,7,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,8,4,3,1,2,7]=>[3,4,1,5,6,8,7,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,8,3,6,7,4,1]=>[7,4,1,6,3,2,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,8,3,7,4,2,6]=>[8,4,1,6,2,5,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,2,7,1,5,6,4]=>[6,1,7,2,8,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,2,3,6,4,1,7]=>[4,1,7,6,3,5,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,2,3,4,7,5,1]=>[3,1,7,6,5,2,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,5,8,7,4,2,6,1]=>[6,4,1,2,5,7,3,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,8,5,2,7,4,1]=>[6,3,1,4,7,2,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,1,6,5,4,8,3,7]=>[7,8,3,4,5,1,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,7,8,4,6,5,3]=>[7,8,2,1,5,3,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,7,4,3,5,8,6]=>[7,8,2,5,6,4,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,5,7,8,4,6,1,2]=>[6,4,2,1,5,3,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,8,2,4,3,1,5,6]=>[2,1,7,5,6,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,7,1,3,5,8,4]=>[3,7,2,8,6,4,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,1,8,2,3,5,4,7]=>[3,8,1,7,6,4,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,4,1,6,3,8,5]=>[2,7,5,8,3,6,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,5,2,6,4,1]=>[2,6,1,4,7,3,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,3,8,7,1,6,5,2]=>[5,6,1,2,8,3,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,7,1,8,5,2,6,3]=>[5,2,8,1,4,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,4,2,8,7,1,6]=>[4,6,5,7,1,2,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,4,3,6,8,1,7]=>[4,7,5,6,3,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,6,5,4,1,2,7]=>[6,1,3,4,5,8,7,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [4,7,5,6,3,8,2,1]=>[5,2,4,3,6,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,5,7,2,3,1,6]=>[5,1,4,2,7,6,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,7,5,8,3,6,1]=>[5,7,2,4,1,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,5,7,1,4,6,2]=>[6,1,4,2,8,5,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,2,7,3,4,6,1]=>[4,1,7,2,6,5,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,2,5,4,3,1,7]=>[3,1,7,4,5,6,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,2,4,5,3,8,1]=>[3,2,7,5,4,6,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,8,3,6,1,4]=>[4,2,7,1,6,3,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,6,4,2,8,7]=>[4,8,6,3,5,7,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,8,7,4,6,2,3]=>[4,8,1,2,5,3,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,3,7,5,4,2,1]=>[3,1,6,2,4,5,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,1,3,4,7,5,8,2]=>[3,8,6,5,2,4,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,1,4,7,8,5]=>[3,7,6,8,5,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,2,8,3,5,7,4,1]=>[3,7,1,6,4,2,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,8,3,5,4,6,2]=>[2,8,1,6,4,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,2,4,8,5,6,3]=>[2,8,7,5,1,4,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,2,4,8,6,5]=>[2,8,6,7,5,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,6,5,3,2,1,7]=>[1,5,3,4,6,7,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,1,6,4,3,2,8,7]=>[4,8,3,5,6,7,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,7,1,4,6,5,2]=>[1,6,2,8,5,3,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,3,6,4,7,5,1]=>[7,1,6,3,5,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,8,7,5,2,1,4]=>[3,6,1,2,4,7,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,7,2,1,5,8,4,3]=>[3,2,7,8,4,1,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,6,8,1,5,4,3,2]=>[2,3,1,8,4,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,4,8,7,6,1,3,2]=>[4,5,1,2,3,8,6,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,5,8,1,7,4,3,2]=>[3,4,1,8,2,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,5,8,7,4,1,3,2]=>[3,4,1,2,5,8,6,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,6,4,8,3,2,5,7]=>[8,3,5,1,6,7,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,3,5,6,2,4,7]=>[8,1,6,4,3,7,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,8,5,6,2,3,7]=>[8,5,1,4,3,7,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,8,5,3,7,4,6]=>[8,7,1,4,6,2,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,4,8,2,3,5,7]=>[3,8,5,1,7,6,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,2,5,4,7,3,6]=>[8,1,7,4,5,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,4,1,2,3,8,6]=>[4,2,5,8,7,6,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,4,2,5,3,8,6]=>[8,2,5,7,4,6,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,2,1,3,8,5]=>[3,2,5,7,8,6,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,2,5,3,4,1,6,8]=>[2,7,4,6,5,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,7,4,5,6,1,2]=>[1,6,2,5,4,3,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,4,3,1,5,6,8]=>[7,2,5,6,8,4,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,8,4,2,3,1,5,7]=>[3,1,5,7,6,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,5,2,4,1,6,8]=>[6,2,4,7,5,8,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,2,8,4,5,6]=>[2,8,6,7,1,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,7,4,8,3,5,6]=>[7,8,2,5,1,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,8,6,1,3,4,7]=>[4,7,1,3,8,6,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,8,3,1,4,5,6,7]=>[7,1,6,8,5,4,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,4,8,2,3,1,5,6]=>[2,5,1,7,6,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,7,2,1,4,5,6]=>[1,6,2,7,8,5,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,5,7,4,1,8,2,3]=>[3,4,2,5,8,1,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,1,3,5,7,2,6]=>[5,1,8,6,4,2,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,1,3,6,2,5]=>[2,1,5,8,6,3,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,8,1,3,7,2,4]=>[3,4,1,8,6,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,6,1,8,2,4,7]=>[4,6,3,8,1,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,3,1,8,2,5,6]=>[5,2,6,8,1,7,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,1,4,7,3,5,6]=>[7,1,8,5,2,6,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,5,8,3,7,6,2]=>[5,8,4,1,6,2,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,5,3,8,7,6,2]=>[5,8,4,6,1,2,3,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,5,1,8,2,7,6,3]=>[5,4,8,1,7,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,5,3,1,7,6,2]=>[5,1,4,6,8,2,3,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,5,2,8,1,7,6,3]=>[5,4,7,1,8,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,2,1,8,7,6,3]=>[5,4,7,8,1,2,3,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,2,7,8,1,4,3]=>[4,3,7,2,1,8,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,8,7,1,5,3]=>[5,3,7,1,2,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,6,3,7,1,5,2]=>[5,1,3,6,2,8,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,3,7,5,1,2]=>[5,1,3,6,2,4,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,8,2,7,5,1,3]=>[5,3,1,7,2,4,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,8,7,5,1,3]=>[5,3,7,1,2,4,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,2,7,4,1,8,3]=>[4,3,7,2,5,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,7,2,3,1,8,4]=>[4,3,2,7,6,8,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,7,2,8,3,1,4]=>[4,3,2,7,1,6,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,7,2,1,8,3,4]=>[4,3,2,7,8,1,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,7,2,1,3,8,4]=>[4,3,2,7,8,6,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,1,7,8,2,4,3]=>[4,3,8,2,1,7,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,7,2,4,8,3]=>[4,3,8,2,7,5,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,6,7,8,3,4,2]=>[4,8,3,2,1,6,5,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,8,7,3,5,2]=>[5,8,3,1,2,6,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,6,7,5,4,2]=>[6,8,1,3,2,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,1,6,8,7,5,3,2]=>[5,8,3,1,2,4,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,1,6,7,4,8,3,2]=>[4,8,3,2,5,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,1,7,8,4,2,3]=>[4,3,8,2,1,5,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,8,1,7,5,2,3]=>[5,3,1,8,2,4,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,6,1,7,5,3,2]=>[5,1,3,8,2,4,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,7,1,8,3,2,4]=>[4,3,2,8,1,6,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,7,1,3,8,2,4]=>[4,3,2,8,6,1,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,7,1,3,2,8,4]=>[4,3,2,8,6,7,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,7,3,1,2,8,4]=>[4,3,2,6,8,7,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,7,3,8,1,2,4]=>[4,3,2,6,1,8,7,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,8,7,4,2,1,3]=>[4,3,1,2,5,7,8,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,6,7,3,8,2,1,4]=>[4,3,2,6,1,7,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,6,2,3,5,1,8]=>[2,5,3,7,6,4,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,8,6,3,2,5,7]=>[8,5,1,3,6,7,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,2,5,7,6,3,1,8]=>[5,7,4,2,3,6,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,5,6,1,8,3,2]=>[2,5,4,3,8,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,5,8,6,3,2,7]=>[5,8,4,1,3,6,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,7,6,1,8,5,4]=>[6,7,2,3,8,1,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,7,5,1,6,8,2,3]=>[5,2,4,8,3,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,5,1,4,8,7,6]=>[6,7,4,8,5,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,4,2,3,6,8,7,5]=>[8,5,7,6,3,1,2,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,4,8,3,7,1,6,2]=>[4,5,1,6,2,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,1,8,2,5,3,6]=>[5,2,8,1,7,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,6,1,3,5,2,7]=>[1,5,3,8,6,4,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,5,4,7,8,1,6]=>[6,7,4,5,2,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,4,3,7,8,1,6]=>[4,7,5,6,2,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,6,7,2,5,3,4]=>[1,8,3,2,7,4,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,6,5,8,2,4]=>[6,8,2,3,4,1,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,7,5,6,8,3,4]=>[8,7,2,4,3,1,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,4,7,2,8,3,5]=>[3,8,5,2,7,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,8,6,4,7,1,5]=>[6,7,1,3,5,2,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,4,6,3,2,1,5]=>[2,1,5,3,6,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,6,5,3,7,2,4]=>[8,1,3,4,6,2,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,2,5,3,6,7,1,4]=>[1,7,4,6,3,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,5,2,7,6,1,4]=>[6,1,4,7,2,3,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,3,1,8,6,2]=>[5,2,4,6,8,1,3,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,5,3,6,8,1,7,2]=>[5,4,6,3,1,8,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,6,1,8,7,4]=>[6,4,7,3,8,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,3,5,7,2,8,4]=>[8,3,6,4,2,7,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,6,7,8,2,3]=>[8,4,5,3,2,1,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,4,6,5,7,2,1,3]=>[1,5,3,4,2,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,5,2,6,8,1,3]=>[2,5,4,7,3,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,4,3,1,2,6,5]=>[2,1,5,6,8,7,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,6,4,5,2,1,8,7]=>[6,3,5,4,7,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,4,1,3,8,6,2]=>[4,2,5,8,6,1,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,6,7,3,1,4,8]=>[4,7,3,2,6,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,3,8,6,1,5,7]=>[7,5,6,1,3,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,1,3,5,6,2,4]=>[2,1,8,6,4,3,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,8,3,1,5,6,2,4]=>[2,1,6,8,4,3,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,3,8,5,6,2,4]=>[2,8,6,1,4,3,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,7,8,3,4,6,2]=>[8,4,2,1,6,5,3,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,7,1,5,8,6,2,4]=>[6,2,8,4,1,3,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,7,8,2,5,6,4]=>[8,6,2,1,7,4,3,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,7,8,5,2,6,4]=>[6,8,2,1,4,7,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,7,5,8,2,6,4]=>[8,6,2,4,1,7,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,5,8,2,6,4]=>[6,8,2,4,1,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,7,1,8,4,6,2]=>[6,4,2,8,1,5,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,8,1,4,6,2]=>[6,4,2,1,8,5,3,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,3,7,8,4,1,6,2]=>[4,6,2,1,5,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,7,1,8,4,6,2]=>[4,6,2,8,1,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,3,7,8,4,2,6]=>[8,4,6,2,1,5,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,7,8,4,2,6]=>[4,8,6,2,1,5,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,1,4,5,8,7]=>[6,3,7,8,5,4,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,2,5,1,3,8,7]=>[5,3,7,4,8,6,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,8,1,7,3,4,6]=>[7,4,1,8,2,6,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,2,7,3,1,4,5]=>[3,1,7,2,6,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,2,3,7,1,4,5]=>[3,1,7,6,2,8,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,8,1,7,3,4,6]=>[4,7,1,8,2,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,3,8,1,5,6,7]=>[5,7,6,1,8,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,8,3,7,1,4,6]=>[4,7,1,6,2,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,8,4,6,1,3,7]=>[4,7,1,5,3,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,5,8,4,3,6,7]=>[7,8,4,1,5,6,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,3,2,7,1,4,6]=>[4,1,6,7,2,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,8,2,5,6,7]=>[5,8,6,1,7,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,8,2,7,1,4,6]=>[6,4,1,7,2,8,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,2,6,1,3,7]=>[5,4,1,7,3,8,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,8,3,7,1,4,5]=>[7,3,1,6,2,8,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,8,3,7,2,4,6]=>[4,8,1,6,2,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,8,4,6,2,3,7]=>[4,8,1,5,3,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,4,1,6,2,3,7]=>[4,1,5,8,3,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,1,6,2,3,7]=>[5,4,1,8,3,7,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,8,1,6,2,3,7]=>[4,5,1,8,3,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,5,1,6,2,3,7]=>[5,1,4,8,3,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,5,4,8,3,6,7]=>[7,8,4,5,1,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,3,8,1,5,6,7]=>[7,5,6,1,8,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,1,8,4,2,5,6,7]=>[6,8,1,5,7,4,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,8,4,2,1,5,6,7]=>[6,1,5,7,8,4,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,3,8,4,1,5,6,7]=>[7,6,1,5,8,4,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,4,2,8,1,5,6,7]=>[6,5,7,1,8,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,5,2,7,1,4,6]=>[6,1,4,7,2,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,5,2,6,1,3,7]=>[5,1,4,7,3,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,8,5,3,6,7]=>[7,8,5,1,4,6,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,8,4,1,5,6,7]=>[6,7,1,5,8,4,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,8,4,3,1,5,6,7]=>[7,1,5,6,8,4,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,1,7,5,6,2,8,3]=>[5,8,2,4,3,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,7,4,3,8,1,6,2]=>[4,2,5,6,1,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,3,8,2,6,1]=>[4,2,5,6,1,7,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,2,6,7,5,1]=>[6,1,5,7,3,2,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,8,4,1,6,7,5,2]=>[6,1,5,8,3,2,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,7,5,2,8,4,3]=>[3,8,2,4,7,1,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,4,3,2,8,1,7]=>[4,3,5,6,7,1,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,6,7,5,3,8,4,1]=>[7,3,2,4,6,1,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,7,4,8,2,5,3,1]=>[3,2,5,1,7,4,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,7,5,3,8,4]=>[7,8,3,2,4,6,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,4,2,1,6,7,5]=>[6,1,5,7,8,3,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,3,8,2,1,6]=>[4,2,5,6,1,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,8,1,2,5,3]=>[3,2,5,1,8,7,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,5,8,1,2,4,3]=>[3,2,4,1,8,7,5,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,4,8,3,1,2,5]=>[3,2,5,1,6,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,8,1,2,5,7,6]=>[6,5,1,8,7,4,2,3]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,3,4,8,2,5,7]=>[3,8,6,5,1,7,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,4,8,1,5,7]=>[3,7,6,5,1,8,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,8,2,1,5,7,6]=>[6,5,1,7,8,4,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,5,8,2,4,3,1]=>[3,2,4,1,7,5,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,5,8,3,1,4,2]=>[3,2,4,1,6,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,8,1,5,7,6,2]=>[6,5,1,8,4,2,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,7,6,1,4,8,3]=>[7,4,2,3,8,5,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,4,8,2,3,5,1]=>[3,2,5,1,7,6,4,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,4,8,1,3,5,2]=>[3,2,5,1,8,6,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,7,5,1,3,8,4]=>[7,3,2,4,8,6,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,4,8,1,3,2,5]=>[3,2,5,1,8,6,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,8,4,1,3,2]=>[3,2,4,1,5,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,4,8,2,1,3,5]=>[3,2,5,1,7,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,4,8,1,2,3,5]=>[3,2,5,1,8,7,6,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,6,3,4,8,2,7]=>[8,4,3,6,5,1,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,3,6,5,8,2,7]=>[8,5,6,3,4,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,4,7,2,6,5]=>[1,8,6,5,2,7,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,7,3,4,8,2,6]=>[4,8,2,6,5,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,8,2,3,5,4,1]=>[3,2,1,7,6,4,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,6,2,3,7,4,1]=>[4,1,3,7,6,2,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,3,4,7,5,6,1]=>[7,1,6,5,2,4,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,4,7,6,2,5]=>[8,1,6,5,2,3,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,1,7,5,2,6,4]=>[6,1,8,2,4,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,1,6,7,2,5,3]=>[5,1,8,3,2,7,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,8,4,6,5,7]=>[7,8,6,1,5,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,2,8,5,4,6,7]=>[8,6,7,1,4,5,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,5,1,7,2,6,3]=>[1,5,4,8,2,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,6,8,7,4,2,3]=>[8,4,3,1,2,5,7,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [8,4,5,7,6,3,2,1]=>[1,5,4,2,3,6,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,4,8,5,7,6,2,3]=>[8,5,1,4,2,3,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,5,7,3,6,1]=>[7,5,1,4,2,6,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,8,6,5,7,2,1]=>[5,6,1,3,4,2,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,7,2,8,5,3,4,1]=>[3,2,7,1,4,6,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,7,8,6,3,4,1]=>[4,7,2,1,3,6,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,8,6,7,3,5,1]=>[5,7,1,3,2,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,7,5,4,6,1]=>[6,7,1,2,4,5,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,1,8,7,5,6,2,4]=>[6,8,1,2,4,3,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,8,6,7,5,2,3]=>[5,8,1,3,2,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,7,8,6,4,2,3]=>[4,8,2,1,3,5,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,1,8,5,4,2,3]=>[3,2,8,1,4,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,3,2,6,1,4,5]=>[2,1,6,7,3,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,8,2,6,1,7,5]=>[6,5,1,7,3,8,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,1,5,6,3,2]=>[2,1,5,8,4,3,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,1,4,5,6,3,2]=>[2,1,8,5,4,3,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,8,1,2,6,3,4,5]=>[2,1,8,7,3,6,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,5,1,4,6,3,2]=>[2,1,4,8,5,3,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,4,5,1,6,3,2]=>[2,1,5,4,8,3,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,4,8,1,5,3,7]=>[3,7,5,1,8,4,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,8,5,1,6,7,2]=>[6,5,1,4,8,3,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,8,1,4,6,7,2]=>[6,4,1,8,5,3,2,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,8,2,6,3,7,5]=>[8,5,1,7,3,6,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,1,4,6,7,2]=>[4,6,1,8,5,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,6,8,1,5,3,7]=>[5,7,3,1,8,4,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,5,8,4,3,2]=>[3,8,2,4,1,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,2,7,8,5,3,4,6]=>[8,7,2,1,4,6,5,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [6,3,7,8,5,4,1,2]=>[3,6,2,1,4,5,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,5,7,8,4,3,2]=>[3,8,4,2,1,5,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,7,5,6,8,4,3,2]=>[8,2,4,3,1,5,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,1,4,8,6,5,3,7]=>[7,8,5,1,3,4,6,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,7,8,5,1,4,6]=>[6,7,2,1,4,8,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,7,8,5,1,4,6]=>[7,6,2,1,4,8,5,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,2,8,5,1,4,7]=>[6,3,7,1,4,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,2,8,7,5,3,6]=>[5,8,7,1,2,4,6,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,4,2,8,7,5,3,6]=>[8,5,7,1,2,4,6,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,6,8,5,4,1,2]=>[2,6,3,1,4,5,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,2,6,8,4,5,3,7]=>[8,7,3,1,5,4,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,1,6,5,8,4,3,2]=>[2,8,3,4,1,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,5,7,1,8,4,3,2]=>[3,4,2,8,1,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,7,6,1,8,4,3,2]=>[4,2,3,8,1,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,1,5,8,4,3,2]=>[3,2,8,4,1,5,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,7,3,8,5,4,1,2]=>[3,2,6,1,4,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,2,8,4,5,3,6]=>[2,8,7,1,5,4,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,6,1,8,4,3,2]=>[2,4,3,8,1,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,1,6,5,3,2,4,8]=>[2,8,3,4,6,7,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,8,7,5,3,2,4,6]=>[8,1,2,4,6,7,5,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,8,7,4,2,5,3,6]=>[8,1,2,5,7,4,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,6,4,2,5,3,8]=>[2,8,3,5,7,4,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,5,4,7,1,3,8]=>[7,3,4,5,2,8,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,5,3,6,4,2,8]=>[2,8,4,6,3,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,7,1,6,4,2,8]=>[4,6,2,8,3,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,6,4,2,7,1,8]=>[4,6,3,5,7,2,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,3,8,7,4,2,6]=>[8,4,6,1,2,5,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,6,1,8,7,4,2]=>[4,6,3,8,1,2,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,1,5,3,8,7,4,2]=>[3,8,4,6,1,2,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,8,7,5,4,6,1,3]=>[7,1,2,4,5,3,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,3,1,8,7,5,4,6]=>[7,6,8,1,2,4,5,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,8,7,4,2,1,6]=>[4,6,1,2,5,7,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,8,6,3,5,7,4,2]=>[8,1,3,6,4,2,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,8,5,2,1,7,4]=>[3,6,1,4,7,8,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,8,6,4,7,5,1,3]=>[7,1,3,5,2,4,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,6,3,7,4,2]=>[4,8,1,3,6,2,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,3,7,4,1,8,5,2]=>[3,6,2,5,8,1,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,8,7,4,2,5,3]=>[3,8,1,2,5,7,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,8,6,3,2,4,7,5]=>[8,1,3,6,7,5,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,1,8,7,5,3,2,4]=>[3,8,1,2,4,6,7,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,4,5,1,3,8,7,6]=>[7,5,4,8,6,1,2,3]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,8,6,3,2,4,1]=>[2,4,1,3,6,7,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,7,5,8,6,3,2,4]=>[8,2,4,1,3,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,4,2,5,8,6,3]=>[8,2,5,7,4,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,8,7,5,3,2,6]=>[5,8,1,2,4,6,7,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,8,6,4,1,3,7,5]=>[7,1,3,5,8,6,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,1,8,6,3,2,7,5]=>[5,8,1,3,6,7,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,4,8,5,2,6,3,1]=>[2,5,1,4,7,3,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,5,2,7,4,6,3]=>[8,1,4,7,2,5,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,6,3,1,8,5,2]=>[2,5,3,6,8,1,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,7,5,8,6,3,2]=>[5,8,2,4,1,3,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,3,1,7,5,8,6,4]=>[7,6,8,2,4,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,8,5,2,1,6,3]=>[2,5,1,4,7,8,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,7,4,6,3,8,5,2]=>[8,2,5,3,6,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,5,2,1,4,8,7]=>[6,3,4,7,8,5,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,5,6,2,1,4,8,7]=>[6,4,3,7,8,5,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,7,8,1,4,2,6]=>[6,4,2,1,8,5,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,1,8,5,7,3,2,6]=>[5,8,1,4,2,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,7,5,8,3,2,6]=>[5,8,2,4,1,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,5,8,7,4,3,6]=>[7,8,4,1,2,5,6,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,5,7,8,4,3,6]=>[7,8,4,2,1,5,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,7,4,8,3,2,6]=>[4,8,2,5,1,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,2,8,3,6,1,5]=>[5,2,7,1,6,3,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,7,3,1,8,5]=>[5,3,7,2,6,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,8,2,4,1,6,5]=>[6,2,1,7,5,8,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,2,4,1,6,5]=>[6,1,2,7,5,8,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,2,4,1,7,5]=>[6,1,3,7,5,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,8,4,1,7,3,5]=>[3,7,1,5,8,2,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,4,8,1,6,2,5]=>[2,6,5,1,8,3,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,8,1,7,2,5]=>[3,6,5,1,8,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,8,1,2,7,6]=>[4,6,5,1,8,7,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,5,8,1,2,7,6]=>[5,6,4,1,8,7,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,5,4,8,1,2,7,6]=>[6,4,5,1,8,7,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,3,8,1,2,7,6]=>[5,4,6,1,8,7,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,3,8,7,1,2,4]=>[4,3,6,1,2,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,3,8,1,7,2,5]=>[5,3,6,1,8,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,8,4,1,7,3,5]=>[7,3,1,5,8,2,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,7,4,2,6,3,5]=>[8,1,2,5,7,3,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,3,8,6,1,2,4]=>[4,2,6,1,3,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,5,8,6,1,2,4]=>[6,2,4,1,3,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,5,6,1,3,4]=>[7,2,1,4,3,8,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,7,5,6,2,3,4]=>[8,1,2,4,3,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,8,5,7,1,3,4]=>[7,3,1,4,2,8,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,6,8,7,1,2,4]=>[4,6,3,1,2,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,5,8,7,1,2,4]=>[3,6,4,1,2,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,8,5,6,1,3,4]=>[2,7,1,4,3,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,8,6,7,1,3,4]=>[4,7,1,3,2,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,8,3,2,7,6,4,5]=>[8,1,6,7,2,3,5,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,8,7,6,1,3,4]=>[4,7,1,2,3,8,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,2,8,7,5,1,3,4]=>[3,7,1,2,4,8,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,4,7,8,1,6,2,5]=>[6,5,2,1,8,3,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,8,5,7,6,2,3,4]=>[8,1,4,2,3,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,8,7,6,1,3,4]=>[7,4,1,2,3,8,6,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,4,6,5,8,1,2,3]=>[2,5,3,4,1,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,7,8,5,1,2,4]=>[6,3,2,1,4,8,7,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,6,8,7,5,1,3,4]=>[7,3,1,2,4,8,6,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,8,6,7,5,2,3,4]=>[8,1,3,2,4,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,6,5,1,3,4]=>[7,2,1,3,4,8,6,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,6,4,8,1,2,3]=>[4,2,3,5,1,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,8,7,5,1,2,4]=>[3,6,1,2,4,8,7,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,8,7,4,1,3,5,6]=>[7,1,2,5,8,6,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,4,8,7,1,3,2,6]=>[4,5,1,2,8,6,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,6,1,3,2,5,7]=>[5,1,3,8,6,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,7,1,4,5,3,6]=>[7,1,2,8,5,4,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,6,3,2,8,7,4]=>[4,8,3,6,7,1,2,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,1,8,7,3,2,5]=>[5,3,8,1,2,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,5,2,8,7,1,6]=>[5,6,4,7,1,2,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,2,8,6,1,5,7]=>[6,5,7,1,3,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,6,8,1,5,2,4]=>[6,2,3,1,8,4,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,2,3,6,7,5]=>[1,8,5,7,6,3,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,7,2,1,8,6,4,5]=>[6,2,7,8,1,3,5,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,6,1,7,3,5,4]=>[7,1,3,8,2,6,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,6,3,5,8,2,4]=>[8,2,3,6,4,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,5,1,6,8,2,4]=>[6,2,4,8,3,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,5,8,1,4,7,2]=>[6,3,4,1,8,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,5,6,4,7,2,3]=>[1,8,4,3,5,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,7,4,1,8,2,5]=>[6,3,2,5,8,1,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,4,6,8,2,5,3]=>[8,2,5,3,1,7,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,5,8,2,6,3,1,4]=>[2,4,1,7,3,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,1,6,5,4,8,3]=>[7,2,8,3,4,5,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,7,2,3,1,8,5]=>[3,5,2,7,6,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,1,6,7,4,2,5]=>[6,1,8,3,2,5,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,3,6,8,1,5]=>[7,2,5,6,3,1,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,4,6,1,5,3,7]=>[7,1,5,3,8,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,8,5,2,1,6]=>[5,2,6,1,4,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,7,4,8,5,2,6]=>[6,8,2,5,1,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,6,2,7,4,1,5]=>[6,1,3,7,2,5,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,8,5,3,2,7]=>[3,8,5,1,4,6,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,2,4,6,7,5,3]=>[1,8,7,5,3,2,4,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,1,3,6,7,5,4,2]=>[1,8,6,3,2,4,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,7,5,1,8,6,3,2]=>[5,2,4,8,1,3,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,3,2,8,5,6,1]=>[5,2,6,7,1,4,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,5,7,6,1,3,2]=>[1,5,4,2,3,8,6,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,8,4,2,3,6,1]=>[2,4,1,5,7,6,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,4,6,1,7,5,2]=>[6,1,5,3,8,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,4,6,5,2,8,1]=>[6,2,5,3,4,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,6,1,5,8,3]=>[5,7,2,3,8,4,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,5,1,6,8,4,7,2]=>[6,4,8,3,1,5,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,7,3,8,4,2]=>[3,8,4,2,6,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,4,7,3,2,6,1]=>[4,1,5,2,6,7,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,6,5,8,4,1,3]=>[2,7,3,4,1,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,8,3,7,4,1,5]=>[7,3,1,6,2,5,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,5,6,4,7,3,2]=>[1,8,4,3,5,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,8,1,6,4,7,3]=>[7,4,1,8,3,5,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,7,4,2,1,6,5]=>[1,6,2,5,7,8,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,2,6,8,3,1,7,4]=>[4,7,3,1,6,8,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,5,8,4,1,7,2]=>[6,3,4,1,5,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,1,8,4,5,2]=>[2,6,3,8,1,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,3,4,6,5,1]=>[1,7,2,6,5,3,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,3,8,2,5,6,4,1]=>[2,6,1,7,4,3,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,3,1,6,4,8,2]=>[4,2,6,8,3,5,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,2,4,8,7,5]=>[3,8,6,7,5,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,7,1,5,2,8,6,4]=>[6,2,8,4,7,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,8,7,1,4,3,6]=>[4,7,1,2,8,5,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,8,6,2,4,3,5]=>[2,8,1,3,7,5,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,6,2,7,5,3,4]=>[1,8,3,7,2,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,6,2,8,5,3,4]=>[2,8,3,7,1,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,4,1,7,2,8,5]=>[3,6,5,8,2,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,4,3,5,1,8,6]=>[2,7,5,6,4,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,2,3,8,6,4]=>[4,8,2,7,6,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,3,5,1,7,6,4]=>[1,7,6,4,8,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,8,2,7,5,3,4]=>[3,8,1,7,2,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,8,1,6,5,3,4]=>[2,7,1,8,3,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,6,4,3,8,1,5]=>[2,7,3,5,6,1,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,7,4,3,8,2,6]=>[4,8,2,5,6,1,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,8,2,1,5,3,6]=>[2,5,1,7,8,4,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,4,1,6,3,7,5]=>[1,7,5,8,3,6,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,5,1,6,4,3]=>[1,7,2,4,8,3,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,7,3,2,8,5,4]=>[3,8,2,6,7,1,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,7,2,1,6,3,8,5]=>[5,2,7,8,3,6,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,2,8,4,3,7]=>[3,8,4,7,1,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,8,1,5,3,2,6]=>[2,5,1,8,4,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,5,3,2,8,4,7]=>[3,8,4,6,7,1,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,4,2,8,5,1,6]=>[2,6,5,7,1,4,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,6,3,4,2,8,5]=>[2,8,3,6,5,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,6,1,5,2,7,4]=>[6,1,3,8,4,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,6,1,7,3,2]=>[5,1,4,3,8,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,1,3,8,5,2,4]=>[3,2,8,6,1,4,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,7,1,5,2,8,4]=>[6,3,2,8,4,7,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,8,4,2,6,5]=>[2,8,6,1,5,7,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,2,7,1,3,8,4]=>[4,3,7,2,8,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,2,8,1,3,7,4]=>[4,3,7,1,8,6,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,8,3,7,5,2,4]=>[3,8,1,6,2,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,8,3,7,4,2,6]=>[4,8,1,6,2,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,8,3,1,5,2,6]=>[2,5,1,6,8,4,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,8,4,5,2,7,3]=>[3,8,1,5,4,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,4,5,2,8,3]=>[2,8,3,5,4,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,2,7,1,6,8,4]=>[6,4,7,2,8,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,7,3,1,6,8,2]=>[5,4,2,6,8,3,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,7,2,8,6,1,3]=>[5,4,2,7,1,3,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,7,2,6,8,4]=>[6,4,8,2,7,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,7,2,8,1,3,6]=>[5,4,2,7,1,8,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,2,1,5,8,3]=>[5,3,2,7,8,4,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,7,1,3,8,5,2]=>[5,3,2,8,6,1,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,1,5,7,8,4,2]=>[6,3,8,4,2,1,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,7,1,5,8,3,2]=>[5,3,2,8,4,1,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,3,7,4,8,5,2]=>[3,8,6,2,5,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,5,2,7,6,3,8]=>[5,8,4,7,2,3,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,1,3,7,6,4,8]=>[7,4,8,6,2,3,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,1,4,3,8,6,7]=>[7,4,8,5,6,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,1,5,8,6,4]=>[6,2,7,8,4,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,7,1,4,8,5,3]=>[3,7,2,8,5,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,7,4,2,1,8,5,6]=>[6,2,5,7,8,1,4,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,2,5,3,1,8,6,4]=>[2,7,4,6,8,1,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,3,6,4,8,1,5,2]=>[2,6,3,5,1,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,5,3,8,1,4,6]=>[7,2,4,6,1,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,5,3,6,4,2,7]=>[8,1,4,6,3,5,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,1,5,4,3,8]=>[2,7,3,8,4,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,7,4,3,6,2,1]=>[1,4,2,5,6,3,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,5,7,2,4,6,3,1]=>[1,4,2,7,5,3,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,6,7,1,3,2,5]=>[1,5,3,2,8,6,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,5,6,1,4,3,7]=>[7,1,4,3,8,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,8,4,1,5,3]=>[2,7,3,1,5,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,8,1,4,2,7,3]=>[3,4,1,8,5,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,4,1,3,7,2]=>[3,4,1,5,8,6,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,8,3,2,1,7,6]=>[4,5,1,6,7,8,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,3,7,2,1,6,5,8]=>[5,6,2,7,8,3,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,8,1,4,3,7,6]=>[7,4,1,8,5,6,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,8,2,1,5,7,4]=>[6,3,1,7,8,4,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,8,1,3,6,2]=>[4,2,5,1,8,6,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,1,4,8,2,6,3]=>[4,2,8,5,1,7,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,1,8,3,6,5]=>[7,2,5,8,1,6,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,8,4,2,7,6]=>[6,4,8,1,5,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,7,3,6,2,8]=>[5,8,4,2,6,3,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,8,3,1,7,6]=>[5,7,4,1,6,8,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,2,7,8,3,5,4]=>[3,8,7,2,1,6,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,8,4,7,5,2,6]=>[6,8,1,5,2,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,8,7,3,5,1,6]=>[5,7,1,2,6,4,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,1,7,6,2,3,5]=>[5,1,8,2,3,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,1,4,7,5,2,3]=>[3,1,8,5,2,4,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,8,1,6,4,2,5]=>[2,6,1,8,3,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,8,1,5,3,2,6]=>[5,2,1,8,4,6,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,8,6,2,5,3,4]=>[2,8,1,3,7,4,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,7,1,3,6,4,2]=>[4,1,2,8,6,3,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,8,7,2,1,6,4,5]=>[6,1,2,7,8,3,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,7,1,6,3,5,4]=>[7,1,2,8,3,6,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,1,5,4,2,8]=>[6,2,3,8,4,5,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,7,6,1,3,5,2]=>[5,1,2,3,8,6,4,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,7,2,6,1,4,3]=>[4,1,2,7,3,8,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,7,5,2,4,3]=>[3,1,8,2,4,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,6,5,1,2,4]=>[2,6,1,3,4,8,7,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,7,8,4,3,1,2,6]=>[4,2,1,5,6,8,7,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,8,6,4,3,2,1,7]=>[4,1,3,5,6,7,8,2]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [6,1,4,2,5,3,7,8]=>[3,8,5,7,4,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,3,7,5,4,2,8,6]=>[8,6,2,4,5,7,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,1,3,5,4,2,7,8]=>[3,8,6,4,5,7,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,3,4,7,8,2]=>[4,8,3,6,5,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,2,6,3,4,7,1,8]=>[4,7,3,6,5,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,7,1,5,3,8,6]=>[7,5,2,8,4,6,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,6,7,4,8,1,5]=>[7,6,3,2,5,1,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,7,6,5,3,1,8,4]=>[7,2,3,4,6,8,1,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,2,6,1,4,7,8,3]=>[4,7,3,8,5,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,7,6,5,2,1,8,3]=>[5,2,3,4,7,8,1,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,3,6,2,4,1,7,8]=>[4,6,3,7,5,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,4,2,1,3,6,8]=>[4,2,5,7,8,6,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,3,6,1,4,2,7,8]=>[4,6,3,8,5,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,4,2,6,3,8,5]=>[8,2,5,7,3,6,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,1,2,3,6,8]=>[4,2,5,8,7,6,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,7,6,3,8,5,1,2]=>[5,2,3,6,1,4,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,6,5,2,8,1,4]=>[6,2,3,4,7,1,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,5,1,2,8,4]=>[6,2,3,4,8,7,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,7,2,6,1,3,8,5]=>[5,2,7,3,8,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,1,6,8,3,5,4]=>[7,2,8,3,1,6,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,7,6,4,3,1]=>[4,7,1,2,3,5,6,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [8,2,7,6,1,5,4,3]=>[1,7,2,3,8,4,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,5,6,2,3,8,1,7]=>[5,4,3,7,6,1,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,3,2,7,8,1,6]=>[5,4,6,7,2,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,7,3,8,4,2,1]=>[3,4,2,6,1,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,8,7,2,4,3,5,1]=>[3,1,2,7,5,6,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,7,4,5,8,1,6]=>[6,7,2,5,4,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,1,5,2,4,3,7]=>[3,1,8,4,7,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,6,1,5,2,7]=>[1,6,5,3,8,4,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,4,7,5,8,1,6]=>[7,6,5,2,4,1,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,3,4,7,8,2,5,1]=>[3,6,5,2,1,7,4,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,7,4,8,6,1,2]=>[4,6,2,5,1,3,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,6,4,1,7,2,5]=>[1,6,3,5,8,2,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,7,4,8,6,2,5]=>[8,6,2,5,1,3,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,5,4,1,2,6]=>[6,2,1,4,5,8,7,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,6,2,8,4,1,3]=>[4,2,3,7,1,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,7,5,8,3,4,2]=>[3,8,2,4,1,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,6,4,1,3,8,2]=>[2,4,3,5,8,6,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,5,6,8,4,7,3,2]=>[8,4,3,1,5,2,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,1,3,7,6,5,8,2]=>[5,8,6,2,3,4,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,1,7,5,8,6,2]=>[6,5,8,2,4,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,5,7,4,3,1,6,2]=>[1,4,2,5,6,8,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,8,5,1,7,2,4,3]=>[3,1,4,8,2,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,4,1,3,7,6,5]=>[1,7,5,8,6,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,3,6,2,1,4,5]=>[2,1,6,3,7,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,7,4,2,3,6,5]=>[1,8,2,5,7,6,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,8,7,2,3,5,6,4]=>[8,1,2,7,6,4,3,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,3,1,6,7,5,4]=>[7,1,6,8,3,2,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,2,3,1,5,7,6,4]=>[1,7,6,8,4,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,4,1,2,7,6,5]=>[6,1,5,8,7,2,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,7,2,3,6,8,1]=>[4,5,2,7,6,3,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,3,7,4,1,8,5,6]=>[7,6,2,5,8,1,4,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,8,5,1,3,6,4]=>[7,2,1,4,8,6,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,2,5,6,7,1,3,4]=>[1,7,4,3,2,8,6,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,5,4,7,6,1,3]=>[7,1,4,5,2,3,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,5,8,2,4,3]=>[3,2,8,4,1,7,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,6,2,3,5,1]=>[5,1,2,3,7,6,4,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,1,5,3,2,6,4]=>[2,1,8,4,6,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,7,3,8,2,1,4]=>[3,4,2,6,1,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,4,7,2,5,6,3]=>[1,8,5,2,7,4,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,6,1,5,8,2]=>[2,6,5,3,8,4,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,4,5,7,1,6,2]=>[1,6,5,4,2,8,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,8,3,1,5,7]=>[5,7,3,1,6,8,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,6,2,4,5,1,8]=>[6,2,3,7,5,4,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,6,5,8,1,4,7]=>[7,6,3,4,1,8,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,5,8,6,1,4,7]=>[7,6,4,1,3,8,5,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,2,3,8,6,1,5,7]=>[5,7,6,1,3,8,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,2,3,7,4,6,8,5]=>[8,7,6,2,5,3,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,2,7,1,4,5,8,6]=>[6,7,2,8,5,4,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,5,3,8,7,4,6]=>[7,8,4,6,1,2,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,3,2,4,1,6,7]=>[4,1,6,7,5,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,7,1,8,3,5,6]=>[5,7,2,8,1,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,8,2,7,3,5,6]=>[5,8,1,7,2,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,2,7,5,3,8,4,6]=>[8,7,2,4,6,1,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,7,1,4,8,5,6]=>[6,7,2,8,5,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,2,3,7,6,8,4,5]=>[8,7,6,2,3,1,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,3,6,8,7,4,5]=>[8,7,6,3,1,2,5,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,2,3,7,8,4,6,5]=>[8,7,6,2,1,5,3,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,6,8,4,7,5]=>[8,7,6,3,1,5,2,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,3,7,8,6,4,5]=>[8,7,6,2,1,3,5,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [6,2,8,3,7,5,1,4]=>[3,7,1,6,2,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,8,3,7,5,6,1]=>[5,7,1,6,2,4,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,4,8,6,5,1,2]=>[2,6,5,1,3,4,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,4,8,7,2,6,1]=>[4,6,5,1,2,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,5,8,7,2,6,1]=>[5,6,4,1,2,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,3,8,5,7,2,1]=>[5,3,6,1,4,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,8,3,7,4,5,1]=>[7,3,1,6,2,5,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,3,7,5,6,2]=>[8,1,5,6,2,4,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,3,7,4,6,1]=>[7,4,1,6,2,5,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,4,8,7,2,6,1]=>[6,4,5,1,2,7,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,3,8,6,7,2,1]=>[5,4,6,1,3,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,7,8,4,5,2,1]=>[6,3,2,1,5,4,7,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,6,8,5,4,7,3,1]=>[7,3,1,4,5,2,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,8,5,6,4,7,3,2]=>[8,1,4,3,5,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,8,6,4,7,3,1]=>[7,4,1,3,5,2,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,4,6,5,8,3,2,1]=>[2,5,3,4,1,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,3,7,8,4,5,2,1]=>[3,6,2,1,5,4,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,8,5,6,2,1]=>[5,6,2,1,4,3,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,8,6,4,7,3,1]=>[4,7,1,3,5,2,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,2,8,6,5,7,3,1]=>[5,7,1,3,4,2,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,8,6,7,4,5,1]=>[6,7,1,3,2,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,8,7,5,4,6,1]=>[7,6,1,2,4,5,3,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,8,2,7,4,5,6,3]=>[8,1,7,2,5,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,8,6,3,4,5,1]=>[2,7,1,3,6,5,4,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,8,4,5,7,3,1]=>[3,7,1,5,4,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,2,8,4,6,7,3,1]=>[4,7,1,5,3,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,8,5,6,7,3,1]=>[5,7,1,4,3,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,3,6,8,5,7,2,1]=>[5,6,3,1,4,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,6,8,7,2,5,1]=>[6,5,3,1,2,7,4,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,3,5,8,6,2,4,1]=>[2,6,4,1,3,7,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,3,5,7,4,6,2]=>[8,1,6,4,2,5,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,8,4,5,6,3,1]=>[7,2,1,5,4,3,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,5,8,4,6,2,1]=>[6,2,4,1,5,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,4,6,8,3,2,1]=>[4,2,5,3,1,6,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,6,5,8,4,7,2,1]=>[6,3,4,1,5,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,8,4,5,7,3,1]=>[7,3,1,5,4,2,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,7,1,3,8,5,6]=>[5,7,2,8,6,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,5,1,3,8,6,7]=>[5,7,4,8,6,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,6,1,7,2,4,8]=>[4,6,3,8,2,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,1,2,5,8,6,4]=>[6,2,8,7,4,1,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,4,1,2,8,5,6]=>[6,2,5,8,7,1,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,5,2,8,1,3,6]=>[5,2,4,7,1,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,6,3,7,1,4,5]=>[1,7,3,6,2,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,7,1,2,3,6,5]=>[1,5,2,8,7,6,3,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,5,7,1,2,4,6,3]=>[1,4,2,8,7,5,3,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,5,7,1,3,4,6,2]=>[1,4,2,8,6,5,3,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,8,5,6,1,2,4,7]=>[6,1,4,3,8,7,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,5,8,1,2,4,6]=>[6,2,4,1,8,7,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,5,8,1,2,4,7,3]=>[3,4,1,8,7,5,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,8,1,2,5,7,4]=>[6,3,1,8,7,4,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,2,4,8,1,6,5]=>[6,2,7,5,1,8,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,8,1,2,5,7]=>[5,3,6,1,8,7,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,3,7,1,2,5,8]=>[5,3,6,2,8,7,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,7,8,2,3,6,5]=>[5,8,2,1,7,6,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,8,6,3,4,7]=>[4,8,7,1,3,6,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,8,1,6,2,4,7]=>[4,6,1,8,3,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,8,5,2,3,4,7]=>[3,8,1,4,7,6,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,1,7,5,2,3,4,8]=>[3,8,2,4,7,6,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,8,1,3,7,4,5,2]=>[3,1,8,6,2,5,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,1,6,3,4,5]=>[2,7,1,8,3,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,8,2,5,1,3,6]=>[5,2,1,7,4,8,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,2,7,1,4,5,3]=>[3,1,7,2,8,5,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,7,1,3,5,6,2]=>[5,1,2,8,6,4,3,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,7,1,2,4,6,5]=>[6,1,2,8,7,5,3,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,7,1,2,3,6,5]=>[5,1,2,8,7,6,3,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,7,1,2,4,6,3]=>[4,1,2,8,7,5,3,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,7,1,3,4,6,2]=>[4,1,2,8,6,5,3,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,1,8,6,2,3,5,4]=>[2,8,1,3,7,6,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,6,4,1,2,3,7]=>[4,1,3,5,8,7,6,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [7,8,4,1,2,5,3,6]=>[2,1,5,8,7,4,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,1,2,6,5,3,4]=>[2,1,8,7,3,4,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,8,2,7,5,3,6]=>[8,5,1,7,2,4,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,3,4,7,2,5,8]=>[3,8,6,5,2,7,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,2,1,6,3,5,4]=>[2,1,7,8,3,6,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,7,5,4,3,8]=>[3,8,7,2,4,5,6,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,1,7,3,6,4,8,2]=>[4,8,2,6,3,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,3,7,4,1,5,8]=>[3,7,6,2,5,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,8,7,5,6,1,2]=>[6,5,1,2,4,3,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,3,7,6,4,5,2]=>[8,1,6,2,3,5,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,7,1,4,6,8,3]=>[4,7,2,8,5,3,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,7,5,2,1,8,3]=>[5,3,2,4,7,8,1,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,1,2,4,7,6,8,3]=>[4,8,7,5,2,3,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,1,2,6,3,8]=>[4,2,5,8,7,3,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,1,2,6,7,3,5]=>[5,1,8,7,3,2,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,7,8,2,6,3,5]=>[5,8,2,1,7,3,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,8,7,6,5,3,4]=>[8,7,1,2,3,4,6,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,1,2,4,6,8,7,5]=>[6,8,7,5,3,1,2,4]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,1,8,4,5,7,6,2]=>[6,8,1,5,4,2,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,8,5,4,7,1,6]=>[6,7,1,4,5,2,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,2,8,1,5,3,7,6]=>[5,7,1,8,4,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,8,5,7,6,1,2]=>[5,6,1,4,2,3,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,2,1,6,3,7,5]=>[5,1,7,8,3,6,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,5,2,7,1,4]=>[6,1,3,4,7,2,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,5,6,1,7,4,2]=>[6,1,4,3,8,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,7,8,1,2,6,4]=>[6,4,2,1,8,7,3,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,7,8,5,2,1,6,4]=>[6,2,1,4,7,8,3,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,8,1,7,4,6,5,3]=>[7,1,8,2,5,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,7,5,1,6,4,3]=>[7,1,2,4,8,3,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,6,7,5,1,4,3]=>[7,1,3,2,4,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,3,4,6,7,2,8]=>[4,8,6,5,3,2,7,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,8,7,5,2,6]=>[8,6,5,1,2,4,7,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [8,2,4,1,7,3,5,6]=>[1,7,5,8,2,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,1,4,2,8,7,5]=>[6,3,8,5,7,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,8,4,3,7,2,5]=>[8,3,1,5,6,2,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,1,4,7,8,5,2,6]=>[6,8,5,2,1,4,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,7,4,3,8,2,5]=>[3,8,2,5,6,1,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,7,4,3,6,2,5]=>[8,1,2,5,6,3,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,2,3,1,5,7,6]=>[5,1,7,6,8,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,6,2,1,3,7,5]=>[5,1,3,7,8,6,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,7,4,1,8,3,5,6]=>[7,2,5,8,1,6,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,8,4,2,3,6,5]=>[8,2,1,5,7,6,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,1,3,8,2,6,5]=>[5,2,8,6,1,7,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,3,6,2,8,5]=>[8,2,5,6,3,7,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,6,5,2,1,7]=>[6,1,5,3,4,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,3,7,5,8,1,6]=>[7,5,6,2,4,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,7,3,6,2,8,5]=>[8,5,2,6,3,7,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,4,2,6,7,5]=>[8,1,6,5,7,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,4,3,6,2,7,5]=>[1,8,5,6,3,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,3,8,5,7,1,6]=>[5,7,6,1,4,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,5,7,3,4,1,6]=>[7,1,4,2,6,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,6,4,3,1,7]=>[4,1,7,3,5,6,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,5,8,4,3,1,6]=>[2,7,4,1,5,6,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,3,5,8,7,1,6]=>[5,7,6,4,1,2,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,3,5,4,7,1,6]=>[1,7,6,4,5,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,8,3,4,2,7,5]=>[3,8,1,6,5,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,6,4,2,3,7,5]=>[8,1,3,5,7,6,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,4,5,6,2,1,7]=>[6,1,5,4,3,7,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,5,7,8,1,6]=>[7,5,6,4,2,1,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,8,6,5,4,2,1,7]=>[6,1,3,4,5,7,8,2]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,3,8,1,2,6,4,5]=>[2,6,1,8,7,3,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,4,5,3,2,6,8]=>[2,8,5,4,6,7,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,4,2,6,5,3,7]=>[8,1,5,7,3,4,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,4,8,6,3,2,7]=>[4,8,5,1,3,6,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,8,1,5,7,2,6]=>[5,6,1,8,4,2,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,4,2,6,5,3,8]=>[2,8,5,7,3,4,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,4,1,6,5,2,7]=>[6,1,5,8,3,4,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,6,4,5,8,2,1]=>[2,6,3,5,4,1,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,5,4,8,6,3,2]=>[2,8,4,5,1,3,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,7,5,4,8,6,3,1]=>[7,2,4,5,1,3,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,1,8,7,5,3,6,4]=>[7,8,1,2,4,6,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,3,7,4,1,6,2]=>[4,1,6,2,5,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,7,4,2,6,5,3]=>[1,8,2,5,7,3,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,3,1,8,4,7,2]=>[4,3,6,8,1,5,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,4,8,6,3,2]=>[4,2,8,5,1,3,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,7,4,8,6,2,1]=>[6,4,2,5,1,3,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,7,4,5,8,3,1]=>[7,3,2,5,4,1,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,7,4,5,8,3,2]=>[3,8,2,5,4,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,7,4,8,6,2,1]=>[4,6,2,5,1,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,5,8,4,1,6,3,2]=>[2,4,1,5,8,3,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,7,8,4,5,1,6,3]=>[7,2,1,5,4,8,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,8,4,1,6,2]=>[4,2,6,1,5,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,3,8,1,4,7,2]=>[4,3,6,1,8,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,8,4,1,6,5,2]=>[6,2,1,5,8,3,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,8,3,1,2,5,7,4]=>[3,1,6,8,7,4,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,2,1,5,4,8,7]=>[6,3,7,8,4,5,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,5,1,4,8,7]=>[6,7,3,4,8,5,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,5,8,1,7,4,3,6]=>[7,4,1,8,2,5,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,2,7,4,3,1,5]=>[3,1,7,2,5,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,2,3,7,5,1,4]=>[3,1,7,6,2,4,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,1,8,4,3,7]=>[7,3,4,8,1,5,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,7,3,1,8,5,6]=>[5,7,2,6,8,1,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,2,3,7,1,5,8,6]=>[5,7,6,2,8,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,7,3,8,6,1,4]=>[4,7,2,6,1,3,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,5,8,4,3,7,6]=>[7,8,4,1,5,6,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,4,2,6,7,1,3]=>[4,1,5,7,3,2,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,8,1,5,7,6]=>[6,7,5,1,8,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,8,3,1,7,5,6]=>[7,5,1,6,8,2,4,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,3,2,1,7,6,5]=>[5,1,6,7,8,2,3,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,1,3,7,2,6,8,5]=>[5,8,6,2,7,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,8,2,1,6,5,7]=>[6,5,1,7,8,3,4,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,3,7,2,1,5,4]=>[3,1,6,2,7,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,8,1,7,2,6,4]=>[6,4,1,8,2,7,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,7,4,6,8,3,2]=>[4,8,2,5,3,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,7,1,8,2,6,4]=>[4,6,2,8,1,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,6,3,8,1,4,5]=>[7,2,3,6,1,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,7,6,4,8,3,5]=>[7,8,2,3,5,1,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,1,5,4,8,7,3,6]=>[7,8,4,5,1,2,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,8,7,2,6,1,3]=>[4,5,1,2,7,3,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,3,8,7,1,5,6]=>[7,5,6,1,2,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,1,8,6,2,7,5]=>[6,5,8,1,3,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,5,4,2,1,7,6]=>[6,1,4,5,7,8,2,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,8,6,5,2,7,1,3]=>[5,1,3,4,7,2,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,2,8,7,5,4,1,6]=>[6,7,1,2,4,5,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,8,6,5,4,3,1,7]=>[7,1,3,4,5,6,8,2]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,3,6,5,2,8,4,1]=>[2,6,3,4,7,1,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,5,3,8,4,6,2]=>[2,8,4,6,1,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,2,3,5,8,4,1]=>[3,2,7,6,4,1,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,6,4,2,8,5,1]=>[6,2,3,5,7,1,4,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,1,7,6,4,8,5,3]=>[7,8,2,3,5,1,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,8,7,4,3,5,6]=>[7,8,1,2,5,6,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,8,3,7,2,1,4,6]=>[4,1,6,2,7,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,7,4,2,1,5,6]=>[6,1,2,5,7,8,4,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,8,2,3,5,1,4,6]=>[2,1,7,6,4,8,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,6,3,1,4,7,5]=>[7,1,3,6,8,5,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,1,6,3,2,4,5,7]=>[1,8,3,6,7,5,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,7,1,4,8,3,6,2]=>[4,2,8,5,1,6,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,7,5,8,4,2,1]=>[3,6,2,4,1,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,6,7,5,1,3,2,4]=>[1,3,2,4,8,6,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,8,4,5,1,3,6]=>[7,2,1,5,4,8,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,3,8,4,1,2,6]=>[4,2,6,1,5,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,8,1,5,6,3,7]=>[7,5,1,8,4,3,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,8,1,5,2,7,6]=>[6,5,1,8,4,7,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,8,4,1,2,7,5]=>[6,3,1,5,8,7,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,8,1,2,5,3,6,7]=>[5,1,8,7,4,6,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,2,4,3,5,6,7]=>[1,8,7,5,6,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,7,4,6,3,2,1]=>[4,1,2,5,3,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,7,6,3,5,2,1]=>[5,1,2,3,6,4,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,8,7,6,5,2,4,1]=>[6,1,2,3,4,7,5,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,4,7,6,3,2,1]=>[4,1,5,2,3,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,8,5,4,7,3,2,1]=>[3,1,4,5,2,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,8,7,6,2,5,4,1]=>[6,1,2,3,7,4,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,8,7,6,3,2,5,1]=>[5,1,2,3,6,7,4,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,8,7,6,5,2,1,4]=>[6,1,2,3,4,7,8,5]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,5,8,4,6,3,1,2]=>[2,4,1,5,3,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,6,8,2,5,1,4,3]=>[2,3,1,7,4,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,2,4,7,6,1,8]=>[6,4,7,5,2,3,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,7,2,6,1,8]=>[6,4,5,2,7,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,7,6,1,2,8]=>[6,4,5,2,3,8,7,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,4,7,6,1,8,2]=>[6,4,5,2,3,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,7,4,6,1,8,2]=>[6,4,2,5,3,8,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,4,6,1,2,8]=>[6,4,2,5,3,8,7,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,7,4,6,2,1,8]=>[6,4,2,5,3,7,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,7,4,6,1,8]=>[6,7,4,2,5,3,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,7,6,4,1,8]=>[6,4,7,2,3,5,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,7,2,6,4,1,8]=>[6,4,2,7,3,5,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,7,6,2,4,1,8]=>[4,6,2,3,7,5,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,7,6,1,2,8,4]=>[4,6,2,3,8,7,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,7,6,1,4,2,8]=>[4,6,2,3,8,5,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,7,6,4,1,2,8]=>[4,6,2,3,5,8,7,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,5,7,2,6,1,4,8]=>[6,4,2,7,3,8,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,7,6,1,4,8]=>[6,4,7,2,3,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,7,6,4,1,8,2]=>[4,6,2,3,5,8,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,7,5,4,1,8,2,6]=>[6,2,4,5,8,1,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,7,5,4,1,8,6,2]=>[6,2,4,5,8,1,3,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,7,5,1,4,8,6,2]=>[6,2,4,8,5,1,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,5,1,4,8,2,6]=>[6,2,4,8,5,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,7,1,2,6,8,4]=>[6,4,2,8,7,3,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,7,2,1,6,8,4]=>[6,4,2,7,8,3,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,2,7,1,6,4,8]=>[6,4,7,2,8,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,7,2,1,6,4,8]=>[6,4,2,7,8,3,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,7,1,6,2,4,8]=>[4,6,2,8,3,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,7,1,4,6,8,2]=>[6,4,2,8,5,3,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,7,1,4,6,2,8]=>[6,4,2,8,5,3,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,7,1,4,2,6,8]=>[6,4,2,8,5,7,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,7,2,1,4,6,8]=>[6,4,2,7,8,5,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,5,2,7,1,4,6,8]=>[6,4,7,2,8,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,5,7,4,1,6,8]=>[6,7,4,2,5,8,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,2,7,4,1,6,8]=>[6,4,7,2,5,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,7,4,2,1,6,8]=>[6,4,2,5,7,8,3,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,5,7,4,1,2,6,8]=>[6,4,2,5,8,7,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,5,4,7,1,6,8,2]=>[6,4,5,2,8,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,4,7,1,2,6,8]=>[6,4,5,2,8,7,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,4,7,2,1,6,8]=>[6,4,5,2,7,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,4,2,7,1,6,8]=>[6,4,5,7,2,8,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,4,7,1,6,8]=>[6,7,4,5,2,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,4,7,2,1,8,6]=>[6,4,5,2,7,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,4,7,1,2,8,6]=>[6,4,5,2,8,7,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,6,3,1,8,4,2]=>[4,2,3,6,8,1,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,7,6,3,1,8,2,4]=>[4,2,3,6,8,1,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,7,4,1,2,8,6]=>[6,4,2,5,8,7,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,7,4,2,1,8,6]=>[6,4,2,5,7,8,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,2,5,7,4,1,8,6]=>[6,7,4,2,5,8,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,5,7,1,4,8,6]=>[6,7,4,2,8,5,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,7,1,4,8,6]=>[6,4,7,2,8,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,7,2,1,4,8,6]=>[6,4,2,7,8,5,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,7,1,4,2,8,6]=>[6,4,2,8,5,7,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,5,2,1,8,6,4]=>[6,2,4,7,8,1,3,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,7,2,5,1,8,6,4]=>[6,2,7,4,8,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,7,5,1,8,6,4]=>[6,7,2,4,8,1,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,7,5,1,8,4,6]=>[6,7,2,4,8,1,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,2,5,1,8,4,6]=>[6,2,7,4,8,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,5,2,1,8,4,6]=>[6,2,4,7,8,1,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,1,7,5,8,4,6,3]=>[7,8,2,4,1,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,3,6,8,4,1,5]=>[7,2,6,3,1,5,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,8,3,4,7,5,6]=>[7,8,1,6,5,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,7,2,4,8,3,6]=>[4,8,2,7,5,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,2,6,7,1,8,5]=>[6,5,7,3,2,8,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,7,2,1,6,4]=>[6,4,1,2,7,8,3,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,7,2,4,1,6,3]=>[4,1,2,7,5,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,4,1,7,5,2]=>[6,1,3,5,8,2,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,3,5,6,8,1,7,2]=>[5,6,4,3,1,8,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,4,1,8,5,2]=>[6,2,3,5,8,1,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,7,4,1,8,6,5,2]=>[6,2,5,8,1,3,4,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,8,4,1,7,6,5,2]=>[6,1,5,8,2,3,4,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,2,7,6,1,5,4,8]=>[6,7,2,3,8,4,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,8,7,6,1,5,4]=>[6,7,1,2,3,8,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,7,8,2,4,1,6,3]=>[4,2,1,7,5,8,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,8,1,6,7,3]=>[5,7,4,1,8,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,8,1,7,3,6]=>[5,7,4,1,8,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,4,1,6,3,7]=>[4,1,7,5,8,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,8,1,5,4,7]=>[6,7,3,1,8,4,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,8,6,7,1,5,4]=>[6,7,1,3,2,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,8,7,1,5,4]=>[6,7,3,1,2,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,7,1,5,4,8]=>[6,7,3,2,8,4,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,8,1,5,3,6,4]=>[2,7,1,8,4,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,4,1,8,3,6,5]=>[2,7,5,8,1,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,5,7,1,4,6]=>[6,7,1,4,2,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,5,7,1,8,3,4]=>[7,3,4,2,8,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,8,7,4,3,6]=>[7,4,8,1,2,5,6,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,4,6,3,5,2,7]=>[1,8,5,3,6,4,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,5,4,1,6,2,7]=>[1,6,4,5,8,3,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,7,6,8,2,3,1]=>[4,5,2,3,1,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,2,3,7,6,5]=>[5,8,1,7,6,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,8,5,3,4,7,6]=>[7,8,1,4,6,5,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,4,6,8,7,3,1]=>[4,7,5,3,1,2,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,6,8,3,4,5,7,2]=>[8,3,1,6,5,4,2,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,4,8,6,1,3,2]=>[4,2,5,1,3,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,2,3,1,7,5,4]=>[3,1,7,6,8,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,4,3,8,5,6,1]=>[7,2,5,6,1,4,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,7,2,1,5,6,4]=>[1,6,2,7,8,4,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,7,8,2,4,3,1,6]=>[4,2,1,7,5,6,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,4,7,3,2,6,1,5]=>[1,5,2,6,7,3,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,5,7,4,8,1,6]=>[6,7,4,2,5,1,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,7,3,4,1,5,6]=>[1,7,2,6,5,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,6,3,5,8,2,4]=>[2,8,3,6,4,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,5,6,7,1,4,3]=>[7,1,4,3,2,8,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,7,8,6,4,3]=>[8,4,7,2,1,3,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,6,8,5,1,4,7,3]=>[7,3,1,4,8,5,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,2,8,6,5,7,3]=>[8,5,7,1,3,4,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,1,6,8,7,2,4]=>[6,4,8,3,1,2,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,6,2,1,3,8,4]=>[4,2,3,7,8,6,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,7,4,1,6,3]=>[7,4,1,2,5,8,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,1,7,5,2,6,8,3]=>[5,8,2,4,7,3,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,4,2,5,8,6,1]=>[2,6,5,7,4,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,4,5,2,6,7,3]=>[1,8,5,4,7,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,4,8,6,7,1,3]=>[4,7,5,1,3,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,6,2,1,3,7,4]=>[1,4,3,7,8,6,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,4,6,5,1,7,8,2]=>[6,5,3,4,8,2,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,3,5,2,4,6,1,8]=>[2,6,4,7,5,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,7,2,4,6,1,8]=>[4,6,2,7,5,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,5,2,4,6,1,8]=>[6,2,4,7,5,3,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,3,2,4,6,1,8]=>[4,2,6,7,5,3,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,2,4,7,6,8]=>[8,4,6,7,5,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,2,7,4,6,8]=>[8,4,6,7,2,5,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,3,2,1,4,6,8]=>[4,2,6,7,8,5,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,7,3,2,4,1,6,8]=>[4,2,6,7,5,8,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,5,4,1,6,8]=>[6,2,7,4,5,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,3,2,4,7,6,8]=>[4,8,6,7,5,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,3,2,7,4,6,8]=>[4,8,6,7,2,5,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,3,2,5,4,6,8]=>[2,8,6,7,4,5,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,3,2,5,4,6,8]=>[8,2,6,7,4,5,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,5,2,4,6,8]=>[2,8,6,4,7,5,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,3,7,2,4,6,8]=>[4,8,6,2,7,5,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,7,5,1,4,6,8]=>[6,7,2,4,8,5,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,7,5,1,2,4,6,8]=>[6,2,4,8,7,5,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,7,3,1,2,4,6,8]=>[4,2,6,8,7,5,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,5,3,7,2,4,6,8]=>[8,4,6,2,7,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,3,2,7,5,4,6,8]=>[8,6,7,2,4,5,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,7,2,5,4,6,8]=>[8,6,2,7,4,5,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,1,4,7,6,8]=>[6,7,4,8,5,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,3,7,5,2,4,6,8]=>[8,6,2,4,7,5,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,1,3,2,4,6,8]=>[4,2,8,6,7,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,1,5,2,4,6,8]=>[6,2,8,4,7,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,1,2,5,4,6,8]=>[6,2,8,7,4,5,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,7,2,1,5,4,6,8]=>[6,2,7,8,4,5,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,2,7,5,4,6,8]=>[6,8,7,2,4,5,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,7,2,5,4,6,8]=>[6,8,2,7,4,5,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,7,5,2,4,6,8]=>[6,8,2,4,7,5,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,5,3,2,4,6,8]=>[2,8,4,6,7,5,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,7,5,3,2,4,6,8]=>[8,2,4,6,7,5,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,8,7,4,2,6,5,3]=>[8,1,2,5,7,3,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,5,1,7,6,4,3]=>[7,1,4,8,2,3,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,5,1,2,7,4,3]=>[3,1,4,8,7,2,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,1,4,7,6,5,3]=>[7,1,8,5,2,3,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,7,4,3,2,6,5]=>[8,1,2,5,6,7,3,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,8,5,4,2,7,6,3]=>[8,1,4,5,7,2,3,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,5,6,3,7,4,2,1]=>[1,4,3,6,2,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,5,6,2,7,4,3,1]=>[1,4,3,7,2,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,7,2,3,6,8,5,4]=>[8,2,7,6,3,1,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,5,6,4,8,2,7,1]=>[6,4,3,5,1,7,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,4,8,2,7,6]=>[6,4,8,5,1,7,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,4,8,2,6,3]=>[8,2,4,5,1,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,5,1,6,4,8,2]=>[6,2,4,8,3,5,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,4,8,1,3,6]=>[7,2,4,5,1,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,5,4,8,6,1,3]=>[7,2,4,5,1,3,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,1,4,8,7,3,6]=>[7,4,8,5,1,2,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,2,8,7,1,5]=>[6,3,5,7,1,2,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,2,4,8,1,6,7]=>[6,4,7,5,1,8,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,6,4,8,1,2,7]=>[6,4,3,5,1,8,7,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,6,4,8,7,2,3]=>[8,4,3,5,1,2,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,5,8,7,2,1]=>[6,3,5,4,1,2,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,6,4,3,8,5,2,7]=>[8,3,5,6,1,4,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,4,5,8,2,6]=>[2,8,6,5,4,1,7,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,3,2,5,8,4,6]=>[2,8,6,7,4,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,4,3,8,1,7,5]=>[7,3,5,6,1,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,3,8,5,7,1]=>[7,3,5,6,1,4,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,1,5,8,6,4]=>[2,7,6,8,4,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,5,6,3,8,4,2]=>[2,8,4,3,6,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,5,1,4,8,2]=>[2,6,3,4,8,5,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,2,3,1,4,8,6,5]=>[2,7,6,8,5,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,2,3,5,4,8,6,1]=>[2,7,6,4,5,1,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,6,4,8,3,1,7]=>[7,4,3,5,1,6,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,1,4,7,8,2]=>[6,4,3,8,5,2,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,1,3,2,4,8,5,6]=>[2,8,6,7,5,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,4,5,8,3,2,7]=>[8,3,5,4,1,6,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,6,8,7,2,1,5]=>[6,5,3,1,2,7,8,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,5,6,8,2,1,7,4]=>[6,4,3,1,7,8,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,2,5,6,3,1,8,7]=>[5,7,4,3,6,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,6,8,1,7,2,4]=>[6,4,3,1,8,2,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,1,5,6,3,2,8,7]=>[5,8,4,3,6,7,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,3,1,7,2,8,6]=>[5,4,6,8,2,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,5,2,7,8,6]=>[5,8,6,4,7,2,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,4,7,3,8,6,1]=>[7,4,5,2,6,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,7,1,8,4,2,6]=>[6,4,2,8,1,5,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,5,3,2,7,8,6]=>[5,8,4,6,7,2,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,5,3,7,1,2,8,6]=>[5,4,6,2,8,7,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,1,2,7,5,8]=>[5,6,3,8,7,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,3,2,4,6,7,8]=>[4,8,6,7,5,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,6,1,7,4,5,2,8]=>[6,3,8,2,5,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,4,2,6,7,8]=>[4,8,6,5,7,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,2,3,7,1,8,6]=>[5,4,7,6,2,8,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,1,3,7,5,8]=>[5,7,3,8,6,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,2,1,3,7,5,8]=>[5,3,7,8,6,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,1,7,4,8,5]=>[6,3,7,8,2,5,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,7,6,5,2,8]=>[6,8,5,2,3,4,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,2,7,1,5,8,4]=>[6,3,7,2,8,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,2,7,1,3,5,8]=>[5,3,7,2,8,6,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,7,1,8,2,6,4]=>[6,4,2,8,1,7,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,2,3,6,7,8]=>[4,8,5,7,6,3,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [3,6,1,7,2,5,8,4]=>[6,3,8,2,7,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,5,3,4,7,8,1]=>[7,3,4,6,5,2,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,1,7,5,4,2,8]=>[6,3,8,2,4,5,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,4,3,2,6,7,8]=>[4,8,5,6,7,3,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,6,2,3,5,1,8,7]=>[5,3,7,6,4,8,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,5,1,8,3,7]=>[3,7,5,4,8,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,7,1,4,5,3]=>[1,7,3,2,8,5,4,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,6,7,4,1,5,3]=>[1,7,3,2,5,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,2,3,5,8,1,7]=>[5,3,7,6,4,1,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,6,4,1,5,8,3,7]=>[7,3,5,8,4,1,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,1,6,7,4,5,3]=>[7,1,8,3,2,5,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,5,7,2,3,1]=>[3,1,5,4,2,7,6,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,1,4,7,5,3]=>[7,1,3,8,5,2,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,1,6,4,7,5,3]=>[7,1,8,3,5,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,1,4,8,5,3,7]=>[7,3,8,5,1,4,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,2,8,3,1,7]=>[3,5,4,7,1,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,3,6,1,8,5,7]=>[5,7,6,3,8,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,3,1,6,8,5,7]=>[5,7,6,8,3,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,3,8,6,1,7,5]=>[5,7,6,1,3,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,5,8,2,3,7,1]=>[3,5,4,1,7,6,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,6,7,2,4,5,1,3]=>[1,3,2,7,5,4,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,8,5,2,3,7,1]=>[3,5,1,4,7,6,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,8,3,1,6,7,5]=>[5,7,1,6,8,3,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,4,8,1,3,6,7,5]=>[7,5,1,8,6,3,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,1,8,3,6,7,5]=>[7,5,8,1,6,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,4,8,6,3,7,5]=>[7,8,5,1,3,6,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,8,2,5,3,7,1]=>[3,5,1,7,4,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,8,2,3,5,7,1]=>[5,3,1,7,6,4,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,8,4,1,5,7,3]=>[7,3,1,5,8,4,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,8,1,4,5,7,3]=>[7,3,1,8,5,4,2,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,6,8,4,5,7,3]=>[7,8,3,1,5,4,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,1,4,6,7,3,5]=>[7,1,8,5,3,2,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,8,6,2,3,7,5,1]=>[5,1,3,7,6,2,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,7,5,3,4,8,2]=>[8,3,2,4,6,5,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,2,5,8,3,4,7,1]=>[3,7,4,1,6,5,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,8,7,4,1,5]=>[3,7,6,1,2,5,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,3,7,1,8,4,6]=>[7,4,6,2,8,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,8,3,1,4,6,7]=>[4,7,1,6,8,5,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,8,1,4,3,6,2,7]=>[4,1,8,5,6,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,1,3,7,6,2]=>[4,1,5,8,6,2,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,5,3,8,1,7,2]=>[3,5,4,6,1,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,1,3,6,2,8,7]=>[5,4,8,6,3,7,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,5,1,7,3,8]=>[5,7,3,4,8,2,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,4,7,6,8,1,2,5]=>[6,5,2,3,1,8,7,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,6,2,5,8,7,1]=>[6,5,3,7,4,1,2,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,2,4,6,1,8,7]=>[6,4,7,5,3,8,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,1,6,8,3,7]=>[5,7,4,8,3,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,2,3,6,5,7,4]=>[8,1,7,6,3,4,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,8,3,5,7,1,6]=>[5,7,1,6,4,2,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,8,6,5,7,1,2]=>[5,6,1,3,4,2,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,7,2,6,5,8,4]=>[8,6,2,7,3,4,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,4,2,5,8,7]=>[8,6,3,5,7,4,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,4,7,3,6,8,2]=>[8,4,5,2,6,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,3,8,4,1,7,6]=>[4,7,6,1,5,8,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,2,7,3,1,5,8]=>[5,3,7,2,6,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,3,7,6,8,4,2]=>[8,4,6,2,3,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,3,7,8,2,4,5]=>[8,3,6,2,1,7,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,3,7,8,5,2,6]=>[8,5,6,2,1,4,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,5,7,8,3,1]=>[5,7,3,4,2,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,6,7,5,8,1,3]=>[5,7,3,2,4,1,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,4,7,8,5,1,6]=>[6,7,5,2,1,4,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,6,7,8,1,4,5]=>[6,7,3,2,1,8,5,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,8,3,6,4,7,2]=>[4,8,1,6,3,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,6,8,5,7,2,1,4]=>[6,3,1,4,2,7,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,8,7,6,4,2]=>[4,8,6,1,2,3,5,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,4,8,1,7,6,2,5]=>[6,5,1,8,2,3,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,8,5,1,3,2]=>[5,2,3,1,4,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,4,8,5,1,3,2]=>[3,2,5,1,4,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,4,6,7,2,5,3]=>[8,1,5,3,2,7,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,3,7,1,6,4]=>[4,7,1,6,2,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,5,8,6,1,3,2]=>[2,5,4,1,3,8,6,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,8,7,1,5,2]=>[5,6,3,1,2,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,8,3,1,7,5,2]=>[3,5,1,6,8,2,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,5,8,7,1,4,2]=>[6,3,4,1,2,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,4,8,2,7,3,1]=>[4,3,5,1,7,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,8,3,1,7,4,2]=>[4,3,1,6,8,2,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,3,8,2,7,5,1]=>[5,3,6,1,7,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,5,8,1,3,7,4,2]=>[3,4,1,8,6,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,4,8,1,3,7,5,2]=>[3,5,1,8,6,2,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,8,3,4,7,5,1]=>[3,7,1,6,5,2,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,5,4,3,7,8,2,6]=>[8,4,5,6,2,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,2,5,3,1,6]=>[2,1,5,7,4,6,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,7,8,5,3,1,6]=>[5,7,2,1,4,6,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,5,3,1,7,8,6]=>[5,7,4,6,8,2,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,8,7,6,3,1,5]=>[5,7,1,2,3,6,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,2,7,6,3,1,5,8]=>[5,7,2,3,6,8,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,2,7,6,3,1,8,5]=>[5,7,2,3,6,8,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,8,2,7,6,4,3,5]=>[8,1,7,2,3,5,6,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,3,5,7,6,4,2,1]=>[1,6,4,2,3,5,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,2,8,6,3,7,4,1]=>[4,7,1,3,6,2,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,4,7,5,2,6,3,1]=>[1,5,2,4,7,3,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,3,6,4,7,5,2,1]=>[1,6,3,5,2,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,8,2,7,5,3,6,4]=>[8,1,7,2,4,6,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,7,4,1,8,6,3]=>[4,7,2,5,8,1,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,8,7,4,1,6,3]=>[4,7,1,2,5,8,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,3,7,6,5,8,2,4]=>[8,6,2,3,4,1,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,4,8,7,5,2,1,3]=>[3,5,1,2,4,7,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,4,7,5,2,1,3,8]=>[3,5,2,4,7,8,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,5,7,6,3,1,4,2]=>[1,4,2,3,6,8,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,8,2,5,7,6,4,3]=>[8,1,7,4,2,3,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,2,6,4,7,5,3]=>[8,1,7,3,5,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,8,7,4,1,5,2]=>[3,6,1,2,5,8,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,3,7,4,1,5,2,8]=>[3,6,2,5,8,4,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,6,3,1,7,5,2]=>[1,5,3,6,8,2,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,7,5,2,1,8,3]=>[3,5,2,4,7,8,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,6,4,7,5,3,8,2]=>[8,3,5,2,4,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,5,2,8,7,4,1]=>[3,6,4,7,1,2,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,3,5,2,7,4,1,8]=>[3,6,4,7,2,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,7,2,6,3,1,8]=>[5,4,2,7,3,6,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,4,6,1,7,2]=>[6,4,1,5,3,8,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,2,6,3,1,8]=>[4,2,5,7,3,6,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,3,5,7,1,8]=>[5,7,3,6,4,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,5,8,2,7,3,6]=>[8,5,4,1,7,2,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,5,8,1,6,7,3]=>[7,5,4,1,8,3,2,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [8,3,4,7,1,6,5,2]=>[1,6,5,2,8,3,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,4,6,5,1,7,2]=>[1,6,5,3,4,8,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,3,5,2,6,8]=>[5,8,2,6,4,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,3,7,4,2,5,8]=>[3,8,6,2,5,7,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,6,8,2,7,4,5]=>[6,8,3,1,7,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,8,2,5,4,7]=>[3,8,6,1,7,4,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,3,1,6,7,5]=>[5,1,7,6,8,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,6,8,1,5,7,4]=>[6,7,3,1,8,4,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,6,1,5,4,7,3]=>[1,7,3,8,4,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,6,8,3,1,5,4,2]=>[2,3,1,6,8,4,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,3,7,2,8,1,5,4]=>[3,6,2,7,1,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,3,8,1,5,6,4]=>[7,2,6,1,8,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,8,5,2,4,3,7]=>[8,3,1,4,7,5,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,7,2,8,1,6,3]=>[5,4,2,7,1,8,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,8,3,1,7,2]=>[5,4,3,1,6,8,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [8,4,6,5,3,1,7,2]=>[1,5,3,4,6,8,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,6,4,8,3,1,7,2]=>[4,3,5,1,6,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,1,6,2,3,7,5]=>[5,1,8,3,7,6,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,3,1,7,2,6,8]=>[5,4,6,8,2,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,1,2,6,5,8]=>[5,2,6,8,7,3,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,1,2,4,3,6,5]=>[2,1,8,7,5,6,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,1,2,5,7,6]=>[5,1,6,8,7,4,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,3,6,5,7,8,2]=>[5,8,6,3,4,2,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,3,4,2,8,5,7]=>[3,8,6,5,7,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,2,5,7,6,3]=>[1,8,5,7,4,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,4,3,5,7,6,2]=>[1,8,5,6,4,2,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,2,4,1,3,7,8,6]=>[4,7,5,8,6,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,5,3,1,7,8,4]=>[7,3,4,6,8,2,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,7,4,3,6,8,2,5]=>[8,2,5,6,3,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,6,3,1,8,4,5]=>[7,2,3,6,8,1,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,4,6,3,7,5,1]=>[7,1,5,3,6,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,5,7,4,2,6,3]=>[8,1,4,2,5,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,6,5,7,1,4,2]=>[6,1,3,4,2,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,2,7,1,5,3]=>[5,1,3,7,2,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,3,8,2,1,6]=>[5,2,4,6,1,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,5,8,3,4,2,7]=>[8,3,4,1,6,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,3,8,4,2,7]=>[3,8,4,6,1,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,5,4,7,2,6,3]=>[1,8,4,5,2,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,4,7,5,8,3,6]=>[7,8,5,2,4,1,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,8,7,4,1,2]=>[3,6,4,1,2,5,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,2,8,5,6,3,1]=>[5,2,7,1,4,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,8,7,3,5,6,2]=>[8,5,1,2,6,4,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,1,7,6,3,5,4,2]=>[1,8,2,3,6,4,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,8,5,7,4,1,2]=>[6,3,1,4,2,5,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,8,5,3,1,2]=>[5,2,3,1,4,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,2,8,6,4,1,3]=>[4,2,7,1,3,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,7,5,6,4,2,1]=>[6,1,2,4,3,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,7,6,4,5,3,1]=>[7,1,2,3,5,4,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,7,6,5,3,4,2]=>[8,1,2,3,4,6,5,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,6,7,2,5,3,1,8]=>[5,3,2,7,4,6,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,7,4,8,1,5,2]=>[6,3,2,5,1,8,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,7,6,1,4,2]=>[6,1,4,2,3,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,7,8,2,6,5,3]=>[8,5,2,1,7,3,4,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,7,8,1,6,5,3]=>[7,5,2,1,8,3,4,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,1,7,8,2,6,5,4]=>[6,8,2,1,7,3,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,3,8,2,7,5,4]=>[3,8,6,1,7,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,8,4,2,7,6,3]=>[4,8,1,5,7,2,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,6,1,7,5,4,3]=>[1,7,3,8,2,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,8,3,7,1,5,4,2]=>[3,1,6,2,8,4,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,3,8,1,6,5,4]=>[7,2,6,1,8,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,3,8,2,6,5,4]=>[8,2,6,1,7,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,8,4,1,7,5,3]=>[7,3,1,5,8,2,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,8,6,3,1,7,2]=>[5,4,1,3,6,8,2,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,7,1,2,8,5,3]=>[5,3,2,8,7,1,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,1,8,2,7,5,4]=>[6,3,8,1,7,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,4,1,2,8,6,3]=>[4,2,5,8,7,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,7,1,2,8,5,4]=>[3,6,2,8,7,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,5,6,3,2,4,7]=>[1,8,4,3,6,7,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,8,3,5,2,4,6]=>[8,2,1,6,4,7,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,2,4,8,5,3,6]=>[8,2,7,5,1,4,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,8,5,4,3,2,6]=>[8,2,1,4,5,6,7,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,6,8,7,4,3,5,1]=>[7,3,1,2,5,6,4,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,6,7,8,4,3,5]=>[8,7,3,2,1,5,6,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,7,5,8,4,1,3,6]=>[7,2,4,1,5,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,7,8,4,5,3,6]=>[7,8,2,1,5,4,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,8,2,1,5,4,6]=>[6,2,1,7,8,4,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,4,7,5,3,6,1,2]=>[1,5,2,4,6,3,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,4,6,7,3,5,2]=>[1,8,5,3,2,6,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,6,7,4,1,2]=>[6,4,1,3,2,5,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,8,4,7,1,5,2]=>[6,3,1,5,2,8,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,3,6,8,2,5]=>[5,2,8,6,3,1,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,6,4,8,1,2,5]=>[6,2,3,5,1,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,7,5,6,8,2,4]=>[6,8,2,4,3,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,3,6,5,7,1,8,4]=>[7,6,3,4,2,8,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,5,4,2,1,8,6]=>[6,2,4,5,7,8,1,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,3,6,7,4,2,8,5]=>[8,6,3,2,5,7,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,4,8,2,7,5,1]=>[6,3,5,1,7,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,6,3,2,7,8,5]=>[8,5,3,6,7,2,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,1,6,7,5,3,2,4]=>[1,8,3,2,4,6,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,8,6,5,3,2,4]=>[8,2,1,3,4,6,7,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,7,8,2,6,4,5,3]=>[8,2,1,7,3,5,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,6,7,3,1,5,4]=>[1,7,3,2,6,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,2,8,5,6,4,3]=>[8,2,7,1,4,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,1,8,4,6,5,3]=>[7,2,8,1,5,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,8,2,1,6,5,4]=>[6,2,1,7,8,3,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,8,1,2,3,7,5,6]=>[5,1,8,7,6,2,4,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,3,6,5,4,7]=>[8,1,7,6,3,4,5,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,4,7,2,6,1]=>[6,4,1,5,2,7,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,4,6,2,3,7]=>[8,1,4,5,3,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,5,4,6,1,2,7]=>[6,1,4,5,3,8,7,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,5,1,6,4,2,7]=>[6,1,4,8,3,5,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,5,4,6,1,3,7]=>[7,1,4,5,3,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,5,4,6,3,1,7]=>[7,1,4,5,3,6,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,4,6,3,2,7]=>[8,1,4,5,3,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,8,4,7,3,6,1]=>[7,4,1,5,2,6,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,2,7,8,5,1]=>[6,3,5,7,2,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,4,1,6,2,7,8]=>[6,4,5,8,3,7,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,1,7,6,2,3]=>[5,4,1,8,2,3,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,4,7,1,6,2]=>[6,4,1,5,2,8,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,8,4,7,3,6,2]=>[8,4,1,5,2,6,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,1,7,8,5,2]=>[6,3,5,8,2,1,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,4,8,7,5,2,1]=>[6,3,5,1,2,4,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,6,4,3,7,8,5,2]=>[8,3,5,6,2,1,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,1,3,4,8,6,5,2]=>[2,8,6,5,1,3,4,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,6,4,2,7,8,3,5]=>[8,3,5,7,2,1,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,4,3,7,1,8,5]=>[7,3,5,6,2,8,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,1,7,8,3,5]=>[7,3,5,8,2,1,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,3,4,8,6,5,1]=>[2,7,6,5,1,3,4,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,3,1,8,6,4,5]=>[2,7,6,8,1,3,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,3,4,1,6,8,5]=>[2,7,6,5,8,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,4,3,8,5,7,6]=>[8,7,5,6,1,4,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,8,6,1,4,2,5]=>[2,6,1,3,8,5,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,8,6,3,4,1,5]=>[2,7,1,3,6,5,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,3,1,5,6,8,4]=>[2,7,6,8,4,3,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,2,3,8,1,6,5,4]=>[2,7,6,1,8,3,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,8,5,6,4,1]=>[2,7,6,1,4,3,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,4,8,7,1,5,3]=>[7,3,5,1,2,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,8,4,7,6,2,3]=>[8,4,1,5,2,3,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,1,6,7,2,4]=>[6,4,1,8,3,2,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,3,2,5,6,8,4]=>[2,8,6,7,4,3,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,3,8,2,6,5,4]=>[2,8,6,1,7,3,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,5,8,2,7,3]=>[5,8,3,4,1,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,5,8,4,7,2]=>[6,8,3,4,1,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,5,8,4,7,1]=>[6,7,3,4,1,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,1,6,5,8,2]=>[5,6,2,8,3,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,6,4,8,3,7,1]=>[4,7,3,5,1,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,4,8,3,7,2]=>[4,8,3,5,1,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,4,8,2,7,3]=>[4,8,3,5,1,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,5,8,1,6,2]=>[5,6,2,4,1,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,5,8,2,6,1]=>[5,6,2,4,1,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,7,4,8,2,6,1]=>[4,6,2,5,1,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,7,4,8,1,6,2]=>[4,6,2,5,1,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,1,6,2,7,3]=>[4,5,1,8,3,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,2,6,1,8,5]=>[5,6,2,7,3,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,1,5,2,8,6]=>[5,6,2,8,4,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,1,6,2,8,5]=>[5,6,2,8,3,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,2,6,3,7,1]=>[4,5,1,7,3,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,1,6,3,7,2]=>[4,5,1,8,3,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,5,2,3,6,8]=>[5,8,2,4,7,6,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,7,2,6,3,1,5,8]=>[5,2,7,3,6,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,2,7,3,5,1,6]=>[5,1,7,2,6,4,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,7,6,3,2,5]=>[5,8,1,2,3,6,7,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,7,2,8,3,5,1,6]=>[5,2,7,1,6,4,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,6,8,3,7,4,5]=>[8,7,3,1,6,2,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,8,3,2,1,4,7,5]=>[3,1,6,7,8,5,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,5,2,1,8,3,4]=>[3,2,4,7,8,1,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,2,4,1,6,5,8,3]=>[2,7,5,8,3,4,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,8,4,3,1,6,2]=>[2,4,1,5,6,8,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,7,5,2,8,4,1,3]=>[3,2,4,7,1,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,2,4,1,3,7,5]=>[3,1,7,5,8,6,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,4,6,5,7,3,2,1]=>[1,5,3,4,2,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,2,7,6,3,8,4,1]=>[4,7,2,3,6,1,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,4,7,6,3,5,1]=>[7,1,5,2,3,6,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,2,7,5,8,4,3]=>[3,8,7,2,4,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,2,6,5,8,4,3]=>[2,8,7,3,4,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,5,7,3,8,4,1]=>[3,7,4,2,6,1,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,7,3,8,5,6,1]=>[5,7,2,6,1,4,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,3,2,5,7,6,1]=>[5,1,6,7,4,2,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,8,5,3,4,7,1]=>[7,3,1,4,6,5,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,2,4,3,8,5,6,1]=>[2,7,5,6,1,4,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,5,3,4,7,2,1]=>[3,1,4,6,5,2,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,7,6,1,5,8,3]=>[7,5,2,3,8,4,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,2,6,7,5,1,4,3]=>[1,7,3,2,4,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,5,8,4,2,3]=>[3,8,2,4,1,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,7,6,2,3,5,1]=>[1,5,2,3,7,6,4,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,4,1,5,3,7,2]=>[3,1,5,8,4,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,3,4,7,2,5,1]=>[3,1,6,5,2,7,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,3,4,7,6,2,5,1]=>[1,6,5,2,3,7,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,6,2,5,8,3,1]=>[5,2,3,7,4,1,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,3,5,2,6,7,4]=>[8,1,6,4,7,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,5,1,4,7,6,2]=>[1,6,4,8,5,2,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,3,5,1,4,7,2]=>[3,1,6,4,8,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,4,7,2,3,5,1]=>[3,1,5,2,7,6,4,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,2,6,5,8,4,3]=>[8,2,7,3,4,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,6,5,8,4,2,3]=>[2,8,3,4,1,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,8,2,4,7,6,1]=>[4,6,1,7,5,2,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,2,8,5,4,3,1]=>[3,2,7,1,4,5,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,7,4,6,2,8,5,1]=>[6,2,5,3,7,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,5,4,2,3,7,1]=>[3,1,4,5,7,6,2,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,2,4,3,7,6,1]=>[4,1,7,5,6,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,5,8,2,7,6,1]=>[6,5,4,1,7,2,3,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,8,3,4,5,2,7,1]=>[3,1,6,5,4,7,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,6,3,2,8,5,1]=>[2,5,3,6,7,1,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,3,4,2,6,5,7]=>[1,8,6,5,7,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,4,2,5,7,6]=>[1,8,6,5,7,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,3,2,5,6,4,7]=>[1,8,6,7,4,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,2,4,5,3,7,6]=>[1,8,7,5,4,6,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,5,1,6,2,8,3]=>[2,5,4,8,3,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,3,5,6,2,8,1]=>[5,2,6,4,3,7,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,4,1,3,5,2]=>[3,2,1,5,8,6,4,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,1,6,8,4,7,5,2]=>[6,8,3,1,5,2,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,6,1,5,7,4,2]=>[1,6,3,8,4,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,7,3,5,8,6,4,1]=>[7,2,6,4,1,3,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,7,5,8,6,1,4]=>[6,7,2,4,1,3,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,7,5,8,6,1,3]=>[7,5,2,4,1,3,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,4,7,8,1,6,3]=>[7,4,5,2,1,8,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,7,8,1,5,3]=>[7,5,3,2,1,8,4,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,7,6,1,8,5,3]=>[7,5,2,3,8,1,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,6,8,1,7,5,3]=>[7,5,3,1,8,2,4,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,3,6,8,2,5,1,4]=>[2,6,3,1,7,4,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,8,6,2,1,4]=>[4,2,6,1,3,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,7,8,3,5,6,1]=>[7,5,2,1,6,4,3,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,7,2,8,5,1,6]=>[6,5,2,7,1,4,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,2,7,8,1,4,6]=>[6,4,7,2,1,8,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,7,6,1,8,4,5]=>[6,7,2,3,8,1,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,6,8,1,7,4,5]=>[6,7,3,1,8,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,8,1,4,7,6]=>[6,4,7,1,8,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,2,1,8,5,7]=>[5,6,3,7,8,1,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,4,2,5,8,1,7]=>[6,3,5,7,4,1,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,2,3,5,8,7,1]=>[5,3,7,6,4,1,2,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,2,3,7,5,8,1]=>[5,3,7,6,2,4,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,2,7,5,1,8]=>[6,3,5,7,2,4,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,6,2,7,1,5,8]=>[5,6,3,7,2,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,5,2,1,7,4,8]=>[6,3,4,7,8,2,5,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,6,3,2,1,5,7]=>[5,1,3,6,7,8,4,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,4,6,3,2,1,5,8]=>[2,5,3,6,7,8,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,8,4,2,3,6,7,1]=>[4,1,5,7,6,3,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,4,8,3,2,1,5,7]=>[3,5,1,6,7,8,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,4,5,3,2,1,7,6]=>[1,5,4,6,7,8,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,3,4,2,1,7,6]=>[4,1,6,5,7,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,4,2,3,7,5,1]=>[3,1,5,7,6,2,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,4,2,1,8,7,5]=>[6,3,5,7,8,1,2,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,4,8,3,2,7,1,5]=>[3,5,1,6,7,2,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,8,3,2,7,1,4]=>[4,3,1,6,7,2,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,8,3,7,2,1,6,4]=>[4,1,6,2,7,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,5,7,4,1,6,3]=>[7,1,4,2,5,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,6,5,4,1,7,3]=>[7,1,3,4,5,8,2,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,5,6,4,1,8,7,3]=>[7,4,3,5,8,1,2,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,8,6,4,5,7,1,3]=>[7,1,3,5,4,2,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,6,2,5,7,1,4]=>[6,1,3,7,4,2,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,6,5,3,7,4,1]=>[7,1,3,4,6,2,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,5,6,4,7,1,8,3]=>[7,4,3,5,2,8,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,4,1,7,8,3]=>[7,3,4,5,8,2,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,4,8,1,6,7,3]=>[7,4,5,1,8,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,6,3,2,8,1,4]=>[4,2,3,6,7,1,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,7,3,2,8,1,4]=>[3,4,2,6,7,1,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,3,8,2,1,5]=>[3,5,2,6,1,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,4,2,7,1,8,5]=>[6,3,5,7,2,8,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,3,2,1,8,5]=>[3,2,5,6,7,8,1,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,4,6,3,2,1,5,7]=>[1,5,3,6,7,8,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,6,3,2,1,5,7,8]=>[5,3,6,7,8,4,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,2,6,5,8,7,3,4]=>[8,7,3,4,1,2,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,8,4,6,7,3]=>[8,4,7,1,5,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,2,7,4,6,8,3]=>[8,4,7,2,5,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,7,3,6,8,4]=>[4,8,7,2,6,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,8,3,6,7,4]=>[4,8,7,1,6,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,3,4,8,7,2,1]=>[4,3,6,5,1,2,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,2,8,3,6,7,5]=>[5,8,7,1,6,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,2,7,3,6,8,5]=>[5,8,7,2,6,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,8,3,6,4,7]=>[4,8,7,1,6,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,7,3,6,5,8]=>[5,8,7,2,6,3,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,2,3,5,4,8]=>[3,8,2,7,6,4,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,7,2,4,5,3,8]=>[8,3,2,7,5,4,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,8,2,4,5,3,7]=>[8,3,1,7,5,4,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,1,2,3,4,7,6]=>[4,1,8,7,6,5,2,3]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,1,8,2,3,5,4,6]=>[2,8,1,7,6,4,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,2,8,3,6,4,5]=>[2,8,7,1,6,3,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,8,2,3,5,7,4]=>[3,8,1,7,6,4,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,1,7,2,3,5,8,4]=>[3,8,2,7,6,4,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,6,7,2,4,5,8,3]=>[8,3,2,7,5,4,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,8,2,4,5,7,3]=>[8,3,1,7,5,4,2,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,3,8,7,5,6,2,1]=>[5,6,1,2,4,3,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,2,7,4,6,5,3]=>[8,1,7,2,5,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,6,2,4,5,7,3]=>[8,1,3,7,5,4,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,6,2,4,5,8,3]=>[8,2,3,7,5,4,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,1,6,2,3,5,8,4]=>[2,8,3,7,6,4,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,6,2,3,5,7,4]=>[1,8,3,7,6,4,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,7,2,3,5,6,4]=>[1,8,2,7,6,4,3,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,3,7,4,6,2,1]=>[4,1,6,2,5,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,7,3,4,5,2,1]=>[3,1,2,6,5,4,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,7,2,4,5,3,6]=>[8,1,2,7,5,4,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,7,2,3,5,4,6]=>[1,8,2,7,6,4,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,6,2,3,5,4,7]=>[1,8,3,7,6,4,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,6,2,4,5,3,7]=>[8,1,3,7,5,4,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,6,2,4,5,3,8]=>[8,2,3,7,5,4,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,6,2,3,5,4,8]=>[2,8,3,7,6,4,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,7,4,6,3,5,2]=>[8,1,2,5,3,6,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,5,1,4,8,3]=>[3,2,7,4,8,5,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,5,1,4,8,2]=>[3,6,2,4,8,5,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,5,8,7,3,6,1]=>[5,7,4,1,2,6,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,2,4,7,3,6,5]=>[1,8,7,5,2,6,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,5,7,2,6,4]=>[8,1,6,4,2,7,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,4,8,7,5,6,2]=>[8,6,5,1,2,4,3,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,4,6,8,5,7,1]=>[7,6,5,3,1,4,2,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,5,7,4,8,6,1]=>[7,6,4,2,5,1,3,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,6,3,7,8,5,1]=>[7,5,3,6,2,1,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,7,1,8,6,3,4]=>[7,4,2,8,1,3,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,6,8,3,7,4,2]=>[8,4,3,1,6,2,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [8,1,3,5,2,7,4,6]=>[1,8,6,4,7,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,4,5,1,3,7,6]=>[1,7,5,4,8,6,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,8,5,2,4,6,7]=>[8,6,1,4,7,5,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,4,7,8,3,5,6,2]=>[8,5,2,1,6,4,3,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,6,7,1,8,4,5,3]=>[7,3,2,8,1,5,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,1,3,7,8,2]=>[5,4,3,8,6,2,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,1,8,5,2,6,7]=>[6,5,8,1,4,7,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,8,1,5,3,6,7]=>[7,5,1,8,4,6,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,3,1,4,2,6,7]=>[4,1,6,8,5,7,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,4,1,5,7,3,6]=>[1,7,5,8,4,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,1,8,5,6,3,7]=>[7,5,8,1,4,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,7,8,5,3,4]=>[8,3,7,2,1,4,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,2,6,7,8,4,1]=>[6,4,7,3,2,1,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,1,6,7,3,8,2]=>[5,4,8,3,2,6,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,8,7,1,5,3,6]=>[5,7,1,2,8,4,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,3,2,6,8,1,4]=>[4,2,6,7,3,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,4,7,3,1,6,2,5]=>[1,5,2,6,8,3,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,1,2,8,4,6,3]=>[4,2,8,7,1,5,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,2,3,5,8,4]=>[3,2,8,7,6,4,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,1,7,2,3,8,5,4]=>[3,8,2,7,6,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,8,6,1,4,5,7]=>[6,7,1,3,8,5,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,1,6,7,8,4,2,5]=>[6,8,3,2,1,5,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,4,8,5,6,2,7]=>[6,8,5,1,4,3,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,8,2,3,6,4,7]=>[4,8,1,7,6,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,3,8,7,5,4,1]=>[7,3,6,1,2,4,5,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,2,3,7,5,4,1,6]=>[1,7,6,2,4,5,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,6,3,5,4,1,7]=>[1,7,3,6,4,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,6,1,5,4,2,7]=>[1,6,3,8,4,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,7,4,1,5,3,6]=>[1,7,2,5,8,4,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,3,8,7,5,4,2]=>[3,8,6,1,2,4,5,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,6,1,8,7,5,4,2]=>[6,3,8,1,2,4,5,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,8,1,5,7,6,4,2]=>[6,1,8,4,2,3,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,2,8,7,6,4,1]=>[6,4,7,1,2,3,5,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,4,8,2,7,6,5,1]=>[6,5,1,7,2,3,4,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,8,7,1,6,5,2]=>[6,5,1,2,8,3,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,1,3,5,7,6,4,2]=>[1,8,6,4,2,3,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,8,5,7,6,3,2]=>[5,8,1,4,2,3,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,2,7,1,4,5,6,3]=>[1,7,2,8,5,4,3,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,7,3,4,6,2,5]=>[1,8,2,6,5,3,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,2,4,7,6,5,1]=>[6,1,7,5,2,3,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,8,3,7,4,6,5,1]=>[7,1,6,2,5,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,3,7,1,6,5,4]=>[1,7,6,2,8,3,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,7,1,3,6,5,4]=>[1,7,2,8,6,3,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,7,2,6,4,3,5]=>[1,8,2,7,3,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,7,5,2,4,3,6]=>[1,8,2,4,7,5,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,3,7,4,6,1,5]=>[1,7,6,2,5,3,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,8,5,7,6,3,1]=>[7,5,1,4,2,3,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [8,2,4,3,7,6,1,5]=>[1,7,5,6,2,3,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,7,3,5,1,4,6]=>[1,7,2,6,4,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,7,4,3,1,5,6]=>[1,7,2,5,6,8,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,1,8,2,7,5,4,3]=>[3,8,1,7,2,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,7,3,5,2,6,4]=>[1,8,2,6,4,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,2,7,6,4,3]=>[1,8,4,7,2,3,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,7,2,4,6,5,3]=>[1,8,2,7,5,3,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,4,1,7,6,5,3]=>[1,7,5,8,2,3,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,2,8,3,7,6,5,1]=>[5,7,1,6,2,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,8,2,1,7,6,5,3]=>[5,1,7,8,2,3,4,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,1,8,7,2,6,4,3]=>[4,8,1,2,7,3,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,8,1,3,7,6,2,4]=>[4,1,8,6,2,3,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,5,4,1,7,6,3]=>[1,7,4,5,8,2,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,1,4,8,7,6,3,2]=>[4,8,5,1,2,3,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,1,4,3,7,6,5,2]=>[1,8,5,6,2,3,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,8,1,3,7,6,5,2]=>[5,1,8,6,2,3,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,3,8,1,7,6,5,2]=>[5,6,1,8,2,3,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,8,6,3,2,1,7,4]=>[4,1,3,6,7,8,2,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,1,7,4,3,2,6,8]=>[4,8,2,5,6,7,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,5,7,2,4,3,1,8]=>[3,4,2,7,5,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,1,3,2,8,6,4]=>[4,2,8,6,7,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,1,3,2,7,4,6]=>[4,1,8,6,7,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,8,2,1,4,3,6]=>[2,4,1,7,8,5,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,1,2,5,4,8,3]=>[3,2,8,7,4,5,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,8,1,4,7,5,6]=>[6,7,1,8,5,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,1,2,5,7,4,3]=>[3,1,8,7,4,2,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,3,8,6,4,5]=>[2,8,7,6,1,3,5,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,6,4,2,3,5,7]=>[1,8,3,5,7,6,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,1,3,8,2,5,7,6]=>[5,8,6,1,7,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,5,3,4,1,7,2]=>[3,1,4,6,5,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,8,2,3,7,6]=>[8,4,5,1,7,6,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,5,7,4,1,3,6,2]=>[1,4,2,5,8,6,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,6,8,1,3,4,2,5]=>[2,3,1,8,6,5,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,5,8,2,3,1,4,6]=>[2,4,1,7,6,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,3,8,2,5,6,4]=>[2,8,6,1,7,4,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,4,1,8,6,3]=>[2,7,4,5,8,1,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,3,5,4,2,1,8,6]=>[2,6,4,5,7,8,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,4,5,2,1,6,8,3]=>[2,5,4,7,8,3,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,2,5,4,1,6,3,8]=>[2,7,4,5,8,3,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,2,4,7,8,3,6]=>[8,4,7,5,2,1,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,2,8,6,7,4]=>[6,4,8,7,1,3,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,4,7,8,1,6]=>[7,4,6,5,2,1,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,4,3,6,8,5,2]=>[8,2,5,6,3,1,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,1,8,2,5,6,4]=>[6,2,8,1,7,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,6,3,2,5,8,1]=>[5,2,3,6,7,4,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,7,6,5,2,3,8,1]=>[5,2,3,4,7,6,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,7,6,5,1,3,8,2]=>[5,2,3,4,8,6,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,7,6,5,2,3,8,4]=>[8,2,3,4,7,6,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,7,6,5,8,3,2,4]=>[8,2,3,4,1,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,5,1,3,2,8]=>[5,2,3,4,8,6,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,5,3,8,1,2]=>[5,2,3,4,6,1,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,3,2,8,4,1]=>[4,2,3,6,7,1,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,3,4,2,8,1,5,7]=>[3,6,5,7,1,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,3,2,1,8,5,4]=>[3,2,6,7,8,1,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,7,6,2,1,4,8,3]=>[4,2,3,7,8,5,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,7,6,3,2,8,4,5]=>[8,2,3,6,7,1,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,8,1,7,3,4,2]=>[3,4,1,8,2,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,3,4,1,7,2]=>[3,4,1,6,5,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,7,3,6,8,1,4,2]=>[4,2,6,3,1,8,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,6,3,1,4,8]=>[4,2,7,3,6,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,2,8,5,6,3,7]=>[5,8,7,1,4,3,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,8,5,3,6,7]=>[5,8,7,1,4,6,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,6,3,7,8,5,4]=>[7,8,3,6,2,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,1,6,8,2,5,3]=>[5,2,8,3,1,7,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,1,6,5,2,8]=>[6,2,5,8,3,4,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,2,1,4,5,6,8]=>[6,2,7,8,5,4,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [3,5,8,2,6,1,7,4]=>[6,4,1,7,3,8,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,7,8,3,5,1,6]=>[5,7,2,1,6,4,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,7,3,6,8,2]=>[5,4,8,2,6,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,6,1,5,2,8,4]=>[6,2,3,8,4,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,5,8,4,1,2]=>[6,2,3,4,1,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,6,2,5,8,4,3]=>[8,2,3,7,4,1,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,6,5,8,4,2,3]=>[8,2,3,4,1,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,6,5,8,1,2,4]=>[6,2,3,4,1,8,7,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,6,2,8,4,5,1]=>[6,2,3,7,1,5,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,1,5,4,8,2]=>[6,2,3,8,4,5,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,6,8,5,1,3]=>[5,2,7,3,1,4,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,5,8,4,3,6]=>[7,2,8,4,1,5,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,6,1,8,4,3,5]=>[7,2,3,8,1,5,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,7,5,8,4,3,1]=>[3,7,2,4,1,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,2,5,1,4,6,3,8]=>[2,7,4,8,5,3,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,5,4,3,6,2,8]=>[2,8,4,5,6,3,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,8,4,2,5,3,1]=>[3,2,1,5,7,4,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,1,2,5,7,8,4,3]=>[3,8,7,4,2,1,5,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,8,6,2,5,1,4]=>[6,2,1,3,7,4,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,1,4,8,7,5,2]=>[6,3,8,5,1,2,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,2,7,8,5,3,6]=>[5,8,7,2,1,4,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,1,6,2,8,5]=>[5,2,6,8,3,7,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,1,2,6,8,5]=>[5,2,6,8,7,3,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,6,1,5,8,2,4]=>[6,2,3,8,4,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,6,5,4,1,8,3]=>[7,2,3,4,5,8,1,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,7,1,8,5,3,6,4]=>[7,2,8,1,4,6,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,5,4,6,7,1,2]=>[6,1,4,5,3,2,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,6,4,3,5,8,7]=>[8,7,3,5,6,4,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,2,7,5,8,3,1,6]=>[5,7,2,4,1,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,7,1,3,8,6,5]=>[5,7,2,8,6,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,8,1,6,2,7,5,3]=>[5,1,8,3,7,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,2,3,1,4,6,8]=>[4,2,7,6,8,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,8,4,2,7,5,3]=>[3,8,1,5,7,2,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,7,2,3,8,4,1,6]=>[4,2,7,6,1,5,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,2,7,3,4,8,1]=>[4,3,7,2,6,5,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,3,8,5,4,7,2]=>[3,8,6,1,4,5,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,8,6,1,2,4,5]=>[6,2,1,3,8,7,5,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,7,6,8,5,1,3,4]=>[7,2,3,1,4,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,6,1,5,4,3]=>[7,2,1,3,8,4,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,6,8,5,3,1,4]=>[7,2,3,1,4,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,8,6,5,2,3,4]=>[8,2,1,3,4,7,6,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,4,6,3,1,2,8]=>[4,2,5,3,6,8,7,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,1,8,3,7,4,2]=>[4,3,8,1,6,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,6,8,1,2,3,5]=>[5,2,3,1,8,7,6,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,8,4,1,5,7,3,6]=>[7,1,5,8,4,2,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,8,6,4,2,3,7]=>[8,4,1,3,5,7,6,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,8,5,7,4,3,6,1]=>[7,1,4,2,5,6,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,4,6,3,1,7,5]=>[7,1,5,3,6,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,6,5,1,4,7,3]=>[7,1,3,4,8,5,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,8,4,3,1,6,7,5]=>[7,1,5,6,8,3,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,2,8,7,4,3,5,6]=>[8,7,1,2,5,6,4,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,4,8,6,3,5,7,1]=>[7,5,1,3,6,4,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,8,1,3,2,5,7]=>[5,3,1,8,6,7,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,6,1,5,7,3,8]=>[7,5,3,8,4,2,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,6,8,7,4,1,3]=>[7,4,3,1,2,5,8,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,7,2,3,6,1,4,8]=>[4,2,7,6,3,8,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,7,4,1,8,5,6]=>[6,7,2,5,8,1,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,2,3,5,8,7,4]=>[8,3,7,6,4,1,2,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,7,2,3,6,5,8,4]=>[8,2,7,6,3,4,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,3,1,6,8,5]=>[5,2,7,6,8,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,2,3,1,5,6,8]=>[5,2,7,6,8,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,4,6,2,8,3,5,1]=>[2,5,3,7,1,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,5,1,4,8,2,6]=>[2,6,4,8,5,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,5,1,4,8,6,3]=>[2,7,4,8,5,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,4,6,5,1,2,7,8]=>[6,5,3,4,8,7,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,2,7,4,5,8,6,3]=>[8,7,2,5,4,1,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,3,6,8,4,2,7]=>[8,4,6,3,1,5,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,5,1,3,4,2,8]=>[3,2,4,8,6,5,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,8,2,5,7,1,6]=>[5,6,1,7,4,2,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,6,2,5,3,7,8]=>[5,8,3,7,4,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,8,6,4,7,2,3]=>[4,8,1,3,5,2,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,8,5,6,3,7,2]=>[5,8,1,4,3,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,2,3,1,5,8,4]=>[3,2,7,6,8,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,2,3,5,1,4,8]=>[3,2,7,6,4,8,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,7,8,6,1,3,4]=>[4,7,2,1,3,8,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,7,8,6,3,5,4]=>[7,8,2,1,3,6,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,1,7,6,3,8,2]=>[5,4,8,2,3,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,2,4,1,6,3,5]=>[2,1,7,5,8,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,5,4,8,2,3]=>[3,2,8,4,5,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,7,5,2,3,6,4]=>[8,1,2,4,7,6,3,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,1,7,5,2,3,4,6]=>[1,8,2,4,7,6,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,5,1,6,2,8,7,3]=>[5,4,8,3,7,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,1,3,8,7,6,2]=>[5,4,8,6,1,2,3,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,8,3,6,1,7,2,5]=>[5,1,6,3,8,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,6,1,7,4,3,2]=>[1,4,3,8,2,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,2,4,6,8,5,7,3]=>[8,7,5,3,1,4,2,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,1,7,5,8,6,3,4]=>[7,8,2,4,1,3,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,3,8,6,5,2,1]=>[5,2,6,1,3,4,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,3,8,4,6,5,1,2]=>[2,6,1,5,3,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,8,7,2,6,1,3]=>[5,4,1,2,7,3,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,7,6,5,8,3,1]=>[5,7,2,3,4,1,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,7,8,5,2,3,1]=>[5,3,2,1,4,7,6,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,3,8,2,7,6,1]=>[5,4,6,1,7,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,5,4,1,7,6,2]=>[6,1,4,5,8,2,3,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,4,7,2,5,8,3,1]=>[3,5,2,7,4,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,3,8,7,5,1,4,2]=>[3,6,1,2,4,8,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,3,6,4,1,2,8,7]=>[4,6,3,5,8,7,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,4,3,5,7,1,2]=>[3,1,5,6,4,2,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,5,4,3,6,7]=>[8,1,7,4,5,6,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,4,5,1,8,6,7]=>[6,7,5,4,8,1,3,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,4,1,7,8,3,6]=>[4,7,5,8,2,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,5,1,7,8,3,6]=>[5,7,4,8,2,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,4,1,3,8,6,7]=>[7,4,5,8,6,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,4,8,3,6,7]=>[7,4,8,5,1,6,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,3,8,2,6,7]=>[8,5,4,6,1,7,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,8,2,4,3,6,7]=>[4,8,1,7,5,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,2,1,5,3,6,7]=>[5,1,7,8,4,6,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,1,4,7,8,2,6]=>[6,4,8,5,2,1,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,8,3,1,6,7,2,5]=>[5,1,6,8,3,2,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,8,2,7,3,6,5]=>[8,5,1,7,2,6,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,4,8,7,1,5]=>[6,3,7,5,1,2,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,6,8,1,2,5]=>[2,6,5,3,1,8,7,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,7,2,5,8,1,4]=>[6,3,2,7,4,1,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,6,8,3,7,2,4]=>[8,4,3,1,6,2,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,6,5,8,3,7,2,4]=>[8,3,4,1,6,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,6,3,1,5,2]=>[2,1,5,3,6,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,5,8,3,4,7,2]=>[3,8,4,1,6,5,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,8,1,3,4,7,2]=>[4,3,1,8,6,5,2,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [8,1,6,3,5,4,7,2]=>[1,8,3,6,4,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,7,3,6,4,5,2]=>[8,1,2,6,3,5,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,5,8,4,6,3]=>[2,8,7,4,1,5,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,8,6,1,5,7,3]=>[5,7,1,3,8,4,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,4,8,1,7,3,5]=>[3,7,5,1,8,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,1,4,5,7,3]=>[1,7,3,8,5,4,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,1,7,8,5,4,6,2]=>[6,8,2,1,4,5,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,2,7,4,8,5,3]=>[8,3,7,2,5,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,1,8,4,3,5,6]=>[7,2,8,1,5,6,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,1,8,3,2,4,5]=>[3,2,8,1,6,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,4,7,3,8,1,5]=>[3,7,5,2,6,1,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,6,7,4,1,5,2]=>[1,6,3,2,5,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,2,3,7,1,5,4]=>[3,1,7,6,2,8,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,3,7,4,2,5]=>[3,8,1,6,2,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,8,3,6,7,2,4]=>[8,4,1,6,3,2,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,6,3,5,8,1,4]=>[7,2,3,6,4,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,5,6,8,1,3,4]=>[7,2,4,3,1,8,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,8,1,3,4,5]=>[3,2,7,1,8,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,6,8,7,2,3,4]=>[4,8,3,1,2,7,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,7,6,8,2,3,4]=>[8,4,2,3,1,7,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,6,1,4,2,8,7]=>[6,4,3,8,5,7,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,8,2,4,6,5,1]=>[6,2,1,7,5,3,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,6,8,5,3,1,2]=>[2,5,3,1,4,6,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,4,6,7,3,2,1,5]=>[1,5,3,2,6,7,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,7,8,1,5,6,3]=>[5,7,2,1,8,4,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,5,7,8,3,6,4]=>[7,8,4,2,1,6,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,8,1,5,6,3]=>[7,5,2,1,8,4,3,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,6,2,5,7,1,8,3]=>[5,3,7,4,2,8,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,7,3,8,2,4]=>[4,8,3,2,6,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,7,5,1,2,4]=>[6,1,3,2,4,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,5,8,6,3,1,2]=>[5,2,4,1,3,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,1,8,3,5,6,2]=>[5,2,8,1,6,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,8,3,2,5,4,7]=>[8,3,1,6,7,4,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,5,4,7,3,2,8]=>[3,8,4,5,2,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,5,2,3,7,4,8]=>[3,8,4,7,6,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,2,1,3,6,4,5]=>[2,1,7,8,6,3,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,5,1,3,2,6,4]=>[2,1,4,8,6,7,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,7,5,4,3,2,8]=>[3,8,2,4,5,6,7,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,1,6,8,2,3,7,4]=>[4,8,3,1,7,6,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,8,1,5,4,7,3]=>[7,3,1,8,4,5,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,7,6,2,8,3]=>[8,4,5,2,3,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,7,6,5,1,8,4]=>[7,6,2,3,4,8,1,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,2,4,3,1,8,6]=>[4,2,7,5,6,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,5,8,3,2,7,4]=>[3,8,4,1,6,7,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,2,4,8,5,7,6]=>[6,8,7,5,1,4,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,4,6,3,1,7]=>[7,4,1,5,3,6,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,8,4,1,6,7]=>[6,7,4,1,5,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,5,4,8,3,2,6]=>[2,8,4,5,1,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,1,5,3,8,4,6]=>[7,2,8,4,6,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,4,8,1,6,3]=>[2,7,4,5,1,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,2,5,3,8,6,4]=>[8,2,7,4,6,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,4,2,3,8,7,5]=>[3,8,5,7,6,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,6,5,3,2,8,4]=>[2,8,3,4,6,7,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,2,3,8,6,1,5,4]=>[2,7,6,1,3,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,3,8,6,1,4,5]=>[2,7,6,1,3,8,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,4,8,1,3,7,5]=>[3,7,5,1,8,6,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,3,2,6,1,5,4]=>[2,1,6,7,3,8,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,8,1,5,2,7]=>[3,6,5,1,8,4,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,8,1,5,7,2]=>[3,6,5,1,8,4,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,8,4,1,2,6,7]=>[4,6,1,5,8,7,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,4,8,3,7,1,5,6]=>[7,5,1,6,2,8,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,8,4,1,6,3,7]=>[4,7,1,5,8,3,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,5,1,8,3,6,4]=>[7,2,4,8,1,6,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,7,4,3,6,2]=>[4,8,1,2,5,6,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,8,7,2,4,6,1,5]=>[6,1,2,7,5,3,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,3,2,4,8,6]=>[4,2,8,6,7,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,7,6,3,5,8,1]=>[5,7,2,3,6,4,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,7,6,3,5,1,2]=>[1,5,2,3,6,4,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,7,4,2,3,5,6]=>[1,8,2,5,7,6,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,1,8,5,3,7,2,4]=>[3,8,1,4,6,2,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,3,7,1,4,5,6]=>[1,7,6,2,8,5,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,8,3,7,1,4,5,6]=>[7,1,6,2,8,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,6,2,7,4,3,1,8]=>[4,3,7,2,5,6,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,7,5,2,6,1,8]=>[6,5,2,4,7,3,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,7,2,5,6,1,8]=>[6,5,2,7,4,3,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,8,2,6,1,4,5]=>[6,2,1,7,3,8,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,8,5,2,1,4,6]=>[6,2,1,4,7,8,5,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,8,4,7,3,1,2,5]=>[3,1,5,2,6,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,7,8,4,1,5,6]=>[6,7,2,1,5,8,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,4,7,3,1,5,2]=>[3,1,5,2,6,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,8,2,6,1,5,4]=>[6,2,1,7,3,8,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,2,1,7,5,3]=>[5,1,3,7,8,2,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,7,6,2,1,5,8,3]=>[5,2,3,7,8,4,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,8,6,5,1,2,7,3]=>[5,1,3,4,8,7,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,8,6,5,1,2,3,7]=>[5,1,3,4,8,7,6,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,4,5,1,8,6,2,7]=>[6,5,4,8,1,3,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,5,1,7,8,6,2]=>[6,5,4,8,2,1,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,5,1,7,6,8,2]=>[6,5,4,8,2,3,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,6,5,1,2,4]=>[6,1,2,3,4,8,7,5]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,4,6,7,1,2,5,3]=>[1,5,3,2,8,7,4,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,2,6,1,3,8,4]=>[4,2,7,3,8,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,2,6,1,4,7,3]=>[4,1,7,3,8,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,6,8,1,3,2,5]=>[2,5,3,1,8,6,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,6,8,1,3,5,2]=>[2,5,3,1,8,6,4,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,7,5,6,1,4,2]=>[6,1,2,4,3,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,7,2,1,5,3]=>[3,1,5,2,7,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,5,6,1,7,4,8]=>[6,7,4,3,8,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,6,5,1,7,3,2]=>[1,5,3,4,8,2,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,4,5,1,7,6,2,8]=>[6,5,4,8,2,3,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,6,5,1,3,8,2]=>[2,5,3,4,8,6,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,5,6,1,4,8,7]=>[6,7,4,3,8,5,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,3,4,5,2,8,6]=>[8,2,6,5,4,7,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,2,1,3,5,6,7]=>[5,1,7,8,6,4,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,7,2,5,4,3,8,6]=>[8,2,7,4,5,6,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,7,3,4,8,1,5]=>[7,3,2,6,5,1,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,5,7,4,3,8,6]=>[7,8,4,2,5,6,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,7,5,6,2,3]=>[5,8,1,2,4,3,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,8,7,4,3,6,2]=>[8,4,1,2,5,6,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,1,7,4,6,8,3,5]=>[7,8,2,5,3,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,7,2,4,6,8,3,5]=>[8,2,7,5,3,1,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,4,6,1,2,3,8,5]=>[2,5,3,8,7,6,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,8,6,2,7,3,5,4]=>[8,1,3,7,2,6,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,6,2,3,5,4]=>[8,2,1,3,7,6,4,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,1,8,3,5,7,6,4]=>[7,8,1,6,4,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,5,8,1,7,6,2,4]=>[6,4,1,8,2,3,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,1,3,6,7,5,4]=>[7,1,8,6,3,2,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,4,8,6,1,5,3]=>[2,7,5,1,3,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,5,8,3,6,2,4]=>[8,2,4,1,6,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,4,3,1,6,2,8]=>[4,2,5,6,8,3,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,4,3,1,6,7,2]=>[4,1,5,6,8,3,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,3,5,4,2,6,1,7]=>[1,6,4,5,7,3,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,7,2,5,4,8,1]=>[3,6,2,7,4,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,7,3,2,6,8,1]=>[4,5,2,6,7,3,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,7,6,4,2,5,8,1]=>[6,2,3,5,7,4,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,2,6,3,4,8,1]=>[4,2,7,3,6,5,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,5,4,6,2,8,1]=>[6,2,4,5,3,7,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,4,6,8,3,1]=>[7,2,4,5,3,1,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,2,5,4,6,3,1,7]=>[1,7,4,5,3,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,2,3,6,8,4,1]=>[4,2,7,6,3,1,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,2,6,5,8,4,1]=>[6,2,7,3,4,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,1,7,3,4,2,6]=>[4,1,8,2,6,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,2,1,7,4,5]=>[3,1,6,7,8,2,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,5,1,7,3,2,6]=>[5,1,4,8,2,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,1,7,5,3,2,6]=>[5,1,8,2,4,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,8,2,6,3,1,7]=>[4,5,1,7,3,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,7,6,2,8,5,1]=>[5,6,2,3,7,1,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,3,5,2,8,1,6,4]=>[2,6,4,7,1,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,2,6,4,1,7]=>[1,6,4,7,3,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,5,2,8,7,4,1]=>[6,3,4,7,1,2,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,5,7,2,8,4,1]=>[6,3,4,2,7,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,5,3,8,2,1,7]=>[5,3,4,6,1,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,8,7,3,1,4]=>[7,3,4,1,2,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,6,5,8,4,3,7,1]=>[7,3,4,1,5,6,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,6,5,3,1,4,7]=>[1,7,3,4,6,8,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,3,8,4,1,7,2,5]=>[3,6,1,5,8,2,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,8,7,6,4,1,5]=>[6,7,1,2,3,5,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,6,8,5,1,7,2,4]=>[6,3,1,4,8,2,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,2,6,4,3,5,1,7]=>[1,7,3,5,6,4,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,7,5,3,1,4,6]=>[7,1,2,4,6,8,5,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,4,7,8,5,3,1,6]=>[7,5,2,1,4,6,8,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,3,7,8,5,1,6]=>[7,5,6,2,1,4,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,5,1,2,8,7]=>[3,6,5,4,8,7,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,5,8,7,3,2,4,1]=>[3,4,1,2,6,7,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,4,7,8,5,3,6]=>[7,8,5,2,1,4,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,3,6,4,7,5,1,2]=>[1,6,3,5,2,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,6,7,3,1,4,2]=>[1,4,3,2,6,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,7,5,3,2,6,1]=>[5,1,2,4,6,7,3,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,7,8,5,3,1,6,2]=>[5,2,1,4,6,8,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,3,4,6,5,7,1,2]=>[1,6,5,3,4,2,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,7,8,1,2,5]=>[3,6,5,2,1,8,7,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,6,5,8,1,2,4]=>[2,6,3,4,1,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,5,7,1,6,8,3,4]=>[7,4,2,8,3,1,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,7,5,8,3,4]=>[3,8,7,2,4,1,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,2,4,6,8,3,5]=>[2,8,7,5,3,1,6,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,2,4,6,8,5]=>[6,2,8,7,5,3,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,4,1,7,3,6,8,5]=>[7,5,8,2,6,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,6,1,7,8,5]=>[7,5,6,3,8,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,3,1,4,6,8,5]=>[7,2,6,8,5,3,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,3,1,6,5,7,4]=>[7,1,6,8,3,4,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,6,7,3,1,4]=>[7,1,4,3,2,6,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,4,6,1,5,7,3]=>[1,7,5,3,8,4,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,1,6,2,4,7,3]=>[4,1,8,3,7,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,5,6,7,1,2,4]=>[6,1,4,3,2,8,7,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,2,4,8,5,7,3]=>[3,8,7,5,1,4,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,8,7,3,6,1]=>[7,5,4,1,2,6,3,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,1,4,2,6,8,5,3]=>[2,8,5,7,3,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,8,7,5,4,6,3]=>[7,8,1,2,4,5,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,1,7,5,3,6,2]=>[5,1,8,2,4,6,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,7,5,3,4,6,2]=>[1,8,2,4,6,5,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,4,3,6,7,5,2]=>[1,8,5,6,3,2,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,3,4,1,6,5,2]=>[2,1,6,5,8,3,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,5,2,3,7,1,6]=>[1,5,4,7,6,2,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,2,8,6,3,1,5]=>[5,2,7,1,3,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,5,2,3,8,1,6]=>[5,2,4,7,6,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,7,5,2,8,3,1]=>[3,5,2,4,7,1,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,6,3,1,5,8,4]=>[2,7,3,6,8,4,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,6,3,8,7,5,1,2]=>[5,3,6,1,2,4,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,4,1,5,7,6,3]=>[7,1,5,8,4,2,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,4,2,5,7,6,3]=>[8,1,5,7,4,2,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,5,4,1,7,6,3]=>[7,1,4,5,8,2,3,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,5,8,3,7,1,6,4]=>[7,4,1,6,2,8,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,2,4,7,6,3]=>[8,1,4,7,5,2,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,6,2,8,7,5,3]=>[8,5,3,7,1,2,4,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,8,2,4,1,6,5,3]=>[2,1,7,5,8,3,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,6,1,8,7,5,3]=>[7,5,3,8,1,2,4,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,4,5,1,7,6,3]=>[7,1,5,4,8,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,8,2,7,6,1,4]=>[6,4,1,7,2,3,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,6,8,7,5,3,4]=>[7,8,3,1,2,4,6,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,2,4,5,7,6,3]=>[8,1,7,5,4,2,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,2,8,3,5,7,6,4]=>[8,7,1,6,4,2,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,8,2,5,7,6,4]=>[8,6,1,7,4,2,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,8,1,5,7,6,4]=>[7,6,1,8,4,2,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,8,7,5,3,4]=>[7,3,8,1,2,4,6,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,2,8,7,5,3,4]=>[8,3,7,1,2,4,6,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,3,8,7,5,2,4]=>[8,3,6,1,2,4,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,6,3,8,7,5,1,4]=>[7,3,6,1,2,4,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,8,1,5,7,6,4]=>[6,7,1,8,4,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,8,2,5,7,6,4]=>[6,8,1,7,4,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,1,4,5,7,6,3]=>[7,1,8,5,4,2,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,8,2,1,4,6,5,3]=>[2,1,7,8,5,3,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,6,8,7,5,1,4]=>[7,6,3,1,2,4,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,1,6,8,7,2,5,4]=>[6,8,3,1,2,7,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,4,5,7,2,3,8]=>[3,8,5,4,2,7,6,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,4,7,6,3,2,5]=>[1,8,5,2,3,6,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,8,6,2,7,1,4]=>[4,6,1,3,7,2,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,6,1,5,7,2,4]=>[1,6,3,8,4,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,4,6,3,1,2,5,7]=>[1,5,3,6,8,7,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,8,5,3,7,2,4,6]=>[8,1,4,6,2,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,1,4,5,2,3,7]=>[3,1,8,5,4,7,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,8,4,6,2,3,7]=>[8,4,1,5,3,7,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,6,5,3,8,4,7]=>[7,8,3,4,6,1,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,6,8,5,2,3,7]=>[8,5,3,1,4,7,6,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,8,1,4,2,3,7]=>[4,3,1,8,5,7,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,8,1,2,3,6]=>[4,2,5,1,8,7,6,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,4,7,2,3,8,6]=>[8,4,5,2,7,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,5,1,8,2,3,6]=>[5,2,4,8,1,7,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,7,1,2,4,8,6]=>[4,6,2,8,7,5,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,7,8,1,2,6,3,5]=>[5,2,1,8,7,3,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,5,8,7,2,3,4]=>[8,3,4,1,2,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,1,6,2,4,8,5]=>[6,2,8,3,7,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,7,6,8,3,4]=>[4,8,7,2,3,1,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,2,5,8,3,4]=>[3,8,2,7,4,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,7,6,5,8,2,3,4]=>[8,2,3,4,1,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,8,5,7,2,3,4]=>[8,3,1,4,2,7,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,2,7,8,3,4]=>[3,8,4,7,2,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,3,8,7,2,4,5]=>[8,3,6,1,2,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,3,2,4,6,8,5]=>[8,2,6,7,5,3,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,8,3,2,7,5,6]=>[5,8,1,6,7,2,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,2,7,8,4,6,5]=>[6,8,7,2,1,5,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,1,2,7,6,4,5]=>[6,1,8,7,2,3,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,4,8,2,6,3,5]=>[2,8,5,1,7,3,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,2,6,8,7,3,4]=>[4,8,7,3,1,2,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,6,2,5,7,3,4]=>[8,1,3,7,4,2,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,8,1,2,6,3,4]=>[4,2,1,8,7,3,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,5,7,6,2,3,4]=>[1,8,4,2,3,7,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,6,8,5,2,3,4]=>[2,8,3,1,4,7,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,1,2,8,4,6,5]=>[6,2,8,7,1,5,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,8,7,6,2,3,4]=>[8,4,1,2,3,7,6,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,6,1,5,2,3,4]=>[2,1,3,8,4,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,6,3,1,5,2,4]=>[2,1,3,6,8,4,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,1,3,4,5,2,6]=>[2,1,8,6,5,4,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,4,8,2,5,3,6]=>[8,2,5,1,7,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,1,4,2,7,5]=>[6,1,3,8,5,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,8,2,4,6,3,5]=>[2,8,1,7,5,3,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,6,8,4,1,5,3,2]=>[2,3,1,5,8,4,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,5,4,1,7,2,6,8]=>[6,4,5,8,2,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,7,3,2,5,1,8]=>[3,5,2,6,7,4,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,5,7,8,1,3,2]=>[3,5,4,2,1,8,6,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,1,6,8,5,2]=>[6,2,5,8,3,1,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,2,7,6,8,5,4]=>[6,8,7,2,3,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,8,3,5,4,2,7]=>[3,8,1,6,4,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,5,2,4,6,1,7]=>[6,1,4,7,5,3,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,4,8,3,5,2,7]=>[8,3,5,1,6,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,5,2,6,7,1]=>[6,1,5,4,7,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,8,4,6,3,2,1]=>[4,2,1,5,3,6,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,1,2,7,4,3,5]=>[3,1,8,7,2,5,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,7,3,6,2,4,1]=>[4,1,2,6,3,7,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,4,2,8,6,1]=>[2,6,4,5,7,1,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,1,3,2,4,7,8]=>[4,3,8,6,7,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,1,3,7,8,6,4]=>[7,4,8,6,2,1,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,3,7,2,1,8,6,5]=>[5,6,2,7,8,1,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,7,2,1,3,5,8]=>[5,3,2,7,8,6,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,6,2,3,1,5,7,8]=>[5,3,7,6,8,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,4,2,5,1,7,8]=>[6,3,5,7,4,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,6,4,7,5,2,8]=>[6,8,3,5,2,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,2,7,5,4,1,8]=>[6,3,7,2,4,5,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,7,3,8,6,5,1]=>[7,5,2,6,1,3,4,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,2,7,5,8,6,1]=>[6,5,7,2,4,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,5,4,7,8,6,2]=>[6,8,4,5,2,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,7,2,3,1,8,6]=>[5,4,2,7,6,8,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,8,1,4,6,5,2]=>[6,2,1,8,5,3,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,4,7,5,3,8,1]=>[7,3,5,2,4,6,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,4,7,1,3,8,5]=>[3,7,5,2,8,6,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,1,4,2,8,6]=>[2,6,4,8,5,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,7,1,3,2,8,6]=>[4,5,2,8,6,7,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,4,7,5,3,8,2]=>[3,8,5,2,4,6,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,8,4,7,3,2,5]=>[3,8,1,5,2,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,3,6,1,2,8,5]=>[5,2,6,3,8,7,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,6,8,2,5,3,4,1]=>[2,3,1,7,4,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,8,7,5,3,1,4]=>[7,3,1,2,4,6,8,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,7,8,2,3,6,1,4]=>[4,2,1,7,6,3,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,7,1,2,5,6,3]=>[5,1,2,8,7,4,3,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,6,7,5,2,1,4]=>[6,1,3,2,4,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,3,7,5,8,2,4]=>[3,8,6,2,4,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,1,8,5,6,2]=>[5,2,6,8,1,4,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,5,7,3,8,1]=>[7,3,5,4,2,6,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,5,3,4,7,2]=>[3,8,1,4,6,5,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,5,6,8,3,7,2]=>[5,8,4,3,1,6,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,1,8,6,2,3]=>[4,5,2,8,1,3,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,7,2,6,8,1,3]=>[5,4,2,7,3,1,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,5,4,1,7,3,6]=>[7,1,4,5,8,2,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,2,8,5,1,7,4,6]=>[6,7,1,4,8,2,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,8,5,2,7,4,6]=>[8,6,1,4,7,2,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,8,6,7,2,4,5]=>[8,6,1,3,2,7,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,5,6,1,3,7,4]=>[7,1,4,3,8,6,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,3,7,6,1,4,5]=>[7,1,6,2,3,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,7,4,6,1,3,5]=>[7,1,2,5,3,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,8,4,6,1,2,5]=>[6,2,1,5,3,8,7,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,7,8,6,1,3,5]=>[5,7,2,1,3,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,8,5,2,4,7,1]=>[3,6,1,4,7,5,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,8,6,5,2,4,1]=>[2,6,1,3,4,7,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,3,8,7,6,2,4,5]=>[8,6,1,2,3,7,5,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,5,6,8,2,3,4]=>[8,2,4,3,1,7,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,4,6,8,5,2,3,1]=>[2,5,3,1,4,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,8,2,6,3,1]=>[2,5,4,1,7,3,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,5,8,1,3,7,2]=>[5,3,4,1,8,6,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,6,4,8,1,3,2]=>[4,2,3,5,1,8,6,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,7,8,1,3,4]=>[4,7,3,2,1,8,6,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,7,8,1,6,2,3]=>[5,4,2,1,8,3,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,6,8,1,2,7,3]=>[5,4,3,1,8,7,2,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,6,8,7,5,1,2,4]=>[6,3,1,2,4,8,7,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,6,8,4,7,1,2,5]=>[6,3,1,5,2,8,7,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,6,8,7,1,3,5]=>[5,7,3,1,2,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,3,8,1,7,2,6]=>[5,4,6,1,8,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,8,4,1,7,2,6]=>[6,4,1,5,8,2,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,8,1,5,7,2,6]=>[6,5,1,8,4,2,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,8,4,2,7,1,6]=>[4,6,1,5,7,2,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,4,8,1,7,3,6]=>[4,7,5,1,8,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,8,7,2,6,1,4]=>[4,6,1,2,7,3,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,8,6,2,1,7,4]=>[4,6,1,3,7,8,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,6,5,7,8,2,3,4]=>[8,3,4,2,1,7,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,3,5,8,2,1,4]=>[3,2,6,4,1,7,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,8,5,2,3,1]=>[3,2,5,1,4,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,4,8,2,3,7,1]=>[4,3,5,1,7,6,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,7,5,8,1,3,4]=>[3,7,2,4,1,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,6,5,8,1,3,4]=>[2,7,3,4,1,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,6,4,1,3,5,8]=>[2,7,3,5,8,6,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,3,4,6,2,5,8]=>[2,8,6,5,3,7,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,6,5,2,4,1,8]=>[2,6,3,4,7,5,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,7,5,2,4,8,1]=>[3,6,2,4,7,5,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,2,7,4,5,3,6]=>[1,8,7,2,5,4,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,7,4,6,1,3,8]=>[7,4,2,5,3,8,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,5,7,4,3,1,2,6]=>[1,4,2,5,6,8,7,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,6,8,3,1,2,7,5]=>[5,3,1,6,8,7,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,1,7,4,5,3,8,2]=>[3,8,2,5,4,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,3,2,1,4,6]=>[1,4,2,6,7,8,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,2,7,3,1,5,4,6]=>[1,7,2,6,8,4,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,4,8,3,1,7,5]=>[7,3,5,1,6,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,3,7,5,6,4,2]=>[1,8,6,2,4,3,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,2,6,1,4,7,5]=>[6,1,7,3,8,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,7,5,8,3,2]=>[8,3,5,2,4,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,8,5,7,3,2,4]=>[8,3,1,4,2,6,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,5,3,8,6,7,4]=>[8,7,4,6,1,3,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,7,8,1,2,4]=>[3,6,4,2,1,8,7,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,6,5,7,8,2,3]=>[5,8,3,4,2,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,1,2,6,4,7,5]=>[6,1,8,7,3,5,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,7,4,2,8,5]=>[3,8,6,2,5,7,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,2,4,1,3,8,5]=>[3,2,7,5,8,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,4,6,3,2,5,1]=>[2,1,5,3,6,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,4,2,6,5,1]=>[2,6,1,5,7,3,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,3,4,5,2,7,6]=>[1,8,6,5,4,7,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,4,5,2,1,3,7,6]=>[1,5,4,7,8,6,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,2,6,1,3,7,5]=>[5,1,7,3,8,6,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,1,6,8,2,7,5]=>[6,5,8,3,1,7,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,2,5,6,7,4]=>[8,6,1,7,4,3,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,8,2,5,6,4,1]=>[6,2,1,7,4,3,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,7,5,2,6,4,3]=>[1,8,2,4,7,3,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,6,7,2,5,4,3]=>[8,1,3,2,7,4,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,6,8,3,5,4,2,1]=>[2,3,1,6,4,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,6,7,3,8,5,4,2]=>[8,3,2,6,1,4,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,3,4,8,1,6,5,2]=>[2,6,5,1,8,3,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,4,6,2,1,5,3]=>[2,1,5,3,7,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,6,7,1,5,4,3]=>[7,1,3,2,8,4,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,6,5,2,4,3,1]=>[2,1,3,4,7,5,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,6,7,5,2,8,4,1]=>[6,3,2,4,7,1,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,4,6,7,8,1,3,2]=>[4,5,3,2,1,8,6,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,7,8,1,4,2]=>[4,6,3,2,1,8,5,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,7,6,8,4,1,2]=>[4,6,2,3,1,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,7,6,4,8,1,2]=>[4,6,2,3,5,1,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,8,6,7,2,3,1]=>[4,5,1,3,2,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,8,4,6,3,5,1]=>[7,2,1,5,3,6,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,8,6,3,1,2,7]=>[4,5,1,3,6,8,7,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,5,7,3,6,2,8,1]=>[5,4,2,6,3,7,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,3,8,2,7,1]=>[5,4,3,6,1,7,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,7,1,3,5,2,6]=>[1,5,2,8,6,4,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,8,7,2,1,3,6]=>[4,5,1,2,7,8,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,4,7,8,1,3,6]=>[7,4,5,2,1,8,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,6,3,5,2,8,4]=>[2,8,3,6,4,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,4,3,6,2,8,5]=>[2,8,5,6,3,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,6,4,8,2,7,1]=>[4,6,3,5,1,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,3,7,4,5,1]=>[1,7,3,6,2,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,5,7,3,4,1]=>[1,7,3,4,2,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,5,7,2,6,1]=>[1,6,5,4,2,7,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,2,7,3,8,1]=>[5,4,3,7,2,6,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,1,3,6,8,4]=>[4,7,2,8,6,3,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,4,6,1,5,2,8,3]=>[2,5,3,8,4,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,2,8,3,7,1]=>[4,5,3,7,1,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,6,1,7,2,5,3]=>[1,5,3,8,2,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,6,3,7,1,8,2]=>[5,4,3,6,2,8,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,1,5,3,6,8]=>[7,2,5,8,4,6,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,4,2,5,1,6,7]=>[6,1,5,7,4,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,4,1,5,2,6,7]=>[6,1,5,8,4,7,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,3,8,1,6,7]=>[7,4,5,6,1,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,5,4,1,2,6,8]=>[6,2,4,5,8,7,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,3,5,1,2,7,6,8]=>[5,6,4,8,7,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,4,1,7,2,6,8]=>[4,6,5,8,2,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,6,3,5,2,7,8]=>[5,8,3,6,4,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,6,5,3,2,7,8]=>[5,8,3,4,6,7,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,1,5,3,2,6,4,8]=>[2,8,4,6,7,3,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,6,4,1,2,5,8]=>[2,6,3,5,8,7,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,6,3,5,2,4,8]=>[2,8,3,6,4,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,7,2,5,6,4,8]=>[6,8,2,7,4,3,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,2,4,1,6,5,8]=>[6,2,7,5,8,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,6,4,1,3,5,8]=>[7,2,3,5,8,6,4,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,7,3,1,6,4,5,8]=>[7,2,6,8,3,5,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,3,2,7,4,1,6]=>[4,1,6,7,2,5,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,6,1,7,4,3,5]=>[7,1,3,8,2,5,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,4,6,1,3,7,8]=>[7,4,5,3,8,6,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,6,4,1,3,7,8]=>[7,4,3,5,8,6,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,5,4,1,7,3,6,8]=>[7,4,5,8,2,6,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,5,7,1,3,6,4]=>[7,1,4,2,8,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,6,3,2,4,8]=>[2,8,4,3,6,7,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,1,6,5,3,7,8]=>[7,5,8,3,4,6,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,2,7,5,6,3,8]=>[5,8,7,2,4,3,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,2,6,5,4,3,8]=>[2,8,7,3,4,5,6,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,3,5,6,2,4,8]=>[2,8,6,4,3,7,5,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,5,1,6,4,7,3]=>[7,1,4,8,3,5,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,5,3,2,7,8]=>[3,8,5,4,6,7,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,6,5,4,2,7,8]=>[6,8,3,4,5,7,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,1,4,6,5,2,7,8]=>[6,8,5,3,4,7,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,3,1,8,4,2,6]=>[4,2,6,8,1,5,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,8,6,3,7,5,4]=>[7,8,1,3,6,2,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,2,3,7,6,5,1]=>[5,1,7,6,2,3,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,8,3,1,7,6,4,2]=>[4,1,6,8,2,3,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,8,5,1,2,6,4,3]=>[2,1,4,8,7,3,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,5,7,2,4,3,1]=>[3,1,4,2,7,5,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,6,3,1,8,2,5]=>[2,5,3,6,8,1,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,8,5,2,6,1,4]=>[2,6,1,4,7,3,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,8,4,7,2,1,6]=>[4,6,1,5,2,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,3,8,7,4,1,2]=>[4,3,6,1,2,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,3,8,1,5,4,2]=>[3,2,6,1,8,4,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,8,4,1,5,2,7]=>[3,6,1,5,8,4,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,8,1,5,4,2,7]=>[3,6,1,8,4,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,8,1,4,5,2,7]=>[3,6,1,8,5,4,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,8,5,7,2,6,1]=>[5,6,1,4,2,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,8,5,1,4,2,7]=>[3,6,1,4,8,5,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,8,5,4,1,2,7]=>[3,6,1,4,5,8,7,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,3,8,4,5,1,2,7]=>[3,6,1,5,4,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,3,4,8,1,5,7]=>[7,3,6,5,1,8,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,1,8,7,4,3,2]=>[4,3,8,1,2,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,2,3,1,4,8,6,7]=>[4,7,6,8,5,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,4,2,8,5,6,1]=>[6,2,5,7,1,4,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,3,2,8,6,7]=>[4,8,5,6,7,1,3,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,3,4,2,8,6,7]=>[4,8,6,5,7,1,3,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,2,4,3,8,6,7]=>[4,8,7,5,6,1,3,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,8,3,5,4,2]=>[3,2,8,1,6,4,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,1,8,4,5,7]=>[6,7,3,8,1,5,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,7,3,8,5,1,6]=>[5,7,2,6,1,4,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,3,2,8,5,1,6]=>[5,2,6,7,1,4,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,6,8,2,4,3,1]=>[4,2,3,1,7,5,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,2,8,5,6,1]=>[5,6,2,7,1,4,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,7,1,8,5,4,6]=>[7,6,2,8,1,4,5,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,4,1,3,8,6,7]=>[4,7,5,8,6,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,4,3,1,8,6,7]=>[4,7,5,6,8,1,3,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,4,1,2,8,6,7]=>[4,6,5,8,7,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,3,4,1,8,6,7]=>[4,7,6,5,8,1,3,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,7,4,5,8,3]=>[7,3,8,2,5,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,7,3,4,6,8,2]=>[4,8,2,6,5,3,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,7,4,3,1,6,2]=>[4,1,2,5,6,8,3,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,8,7,1,4,3,5,2]=>[3,1,2,8,5,6,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,3,4,5,7,2]=>[3,1,8,6,5,4,2,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,8,1,3,4,6,7,2]=>[4,1,8,6,5,3,2,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,2,6,3,7,8,1,4]=>[4,7,3,6,2,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,2,8,1,6,7,4]=>[6,4,7,1,8,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,6,2,8,1,7,3]=>[5,4,3,7,1,8,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,4,8,5,7,3]=>[7,3,8,5,1,4,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,4,2,5,3,7]=>[3,8,1,5,7,4,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,5,1,6,2,3,7]=>[1,5,4,8,3,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,6,3,2,8,4,7]=>[4,8,3,6,7,1,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,7,8,2,5,4,6]=>[6,8,2,1,7,4,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,8,3,5,7,1,4]=>[3,7,1,6,4,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,3,7,4,1,8,5]=>[3,7,6,2,5,8,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,4,1,2,5,8]=>[3,6,2,5,8,7,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,2,6,8,4,3,1,5]=>[2,7,3,1,5,6,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,2,8,6,5,1,4]=>[6,2,7,1,3,4,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,7,3,6,1,8,4]=>[4,7,2,6,3,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,6,7,5,1,2,4,8]=>[6,3,2,4,8,7,5,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,7,5,8,1,6,4,3]=>[7,2,4,1,8,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,5,1,8,2,3,6]=>[2,5,4,8,1,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,1,8,2,3,6,5]=>[5,2,8,1,7,6,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,1,8,4,5,6]=>[2,7,6,8,1,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,4,8,3,7,5,6]=>[7,8,5,1,6,2,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,8,1,7,3,4,5]=>[3,7,1,8,2,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,1,6,7,3,2,5]=>[5,1,8,3,2,6,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,8,4,3,6,5]=>[8,7,2,1,5,6,3,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,8,1,4,3,2,7,6]=>[4,1,8,5,6,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,1,3,5,6,2,7]=>[5,1,8,6,4,3,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,8,1,3,2,4,5,7]=>[3,1,8,6,7,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,4,1,5,6,8,2]=>[6,2,5,8,4,3,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,3,7,8,4,2,6,1]=>[4,6,2,1,5,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,8,2,4,5,1]=>[3,6,2,1,7,5,4,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,2,4,8,6,1]=>[2,6,4,7,5,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,6,5,3,1,8,2,7]=>[5,3,4,6,8,1,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,4,1,3,2,8,6]=>[4,2,5,8,6,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,6,2,8,1,3,4]=>[2,4,3,7,1,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,4,6,7,1,8,2]=>[6,4,5,3,2,8,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,2,6,4,8,7,5]=>[8,6,7,3,5,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,2,6,4,8,7,3]=>[8,4,7,3,5,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,3,6,4,8,7,2]=>[8,4,6,3,5,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,2,5,3,8,7,4]=>[8,3,7,4,6,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,1,4,3,8,7,6]=>[7,4,8,5,6,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,2,5,4,8,6,3]=>[8,2,7,4,5,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,3,5,4,8,6,2]=>[8,2,6,4,5,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,2,6,3,7,5,4]=>[8,1,7,3,6,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,3,6,4,7,5,2]=>[8,1,6,3,5,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,3,6,4,8,5,2]=>[8,2,6,3,5,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,2,6,4,8,5,3]=>[8,2,7,3,5,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,3,7,5,8,6,2]=>[8,5,6,2,4,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,2,8,5,7,6,3]=>[8,5,7,1,4,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,2,8,4,7,6,5]=>[8,6,7,1,5,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,1,3,2,6,5,7]=>[5,1,8,6,7,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,8,4,7,6,3]=>[8,4,7,1,5,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,3,8,4,7,6,2]=>[8,4,6,1,5,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,3,8,4,7,5,2]=>[8,3,6,1,5,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,2,8,3,7,5,4]=>[8,3,7,1,6,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,3,8,1,5,4,6]=>[7,2,6,1,8,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,7,1,5,4,6]=>[7,1,6,2,8,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,7,3,6,5,2]=>[8,1,5,2,6,3,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,3,8,1,5,4,7]=>[7,3,6,1,8,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,7,3,5,2,1,6]=>[5,1,2,6,4,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,7,3,5,2,4,1]=>[3,1,2,6,4,7,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,5,1,2,6,4,7]=>[1,6,4,8,7,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,8,7,4,6,2,1]=>[4,6,1,2,5,3,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,3,8,7,4,6,1,5]=>[7,6,1,2,5,3,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,7,3,1,5,4,2]=>[3,1,2,6,8,4,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,8,5,4,1,3,7,2]=>[3,1,4,5,8,6,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,7,4,6,3,1]=>[7,4,1,2,5,3,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,8,7,6,5,1,3,2]=>[5,1,2,3,4,8,6,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,8,7,5,1,6,2,4]=>[6,1,2,4,8,3,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,3,8,7,5,6,1,4]=>[7,6,1,2,4,3,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,7,1,3,6,4,5]=>[7,1,2,8,6,3,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,7,3,5,2,1,4]=>[3,1,2,6,4,7,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,6,4,2,7,1]=>[6,4,1,3,5,7,2,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,8,4,1,5,2,7,3]=>[3,1,5,8,4,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,1,7,5,3,4]=>[3,1,7,8,2,4,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,6,5,1,7,3]=>[7,5,1,3,4,8,2,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,8,7,6,5,2,1,3]=>[5,1,2,3,4,7,8,6]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [4,8,7,5,1,6,2,3]=>[5,1,2,4,8,3,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,5,2,1,8,6,7,3]=>[5,4,7,8,1,3,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,3,1,6,7,2]=>[5,4,1,6,8,3,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,2,8,4,6,1,3]=>[4,2,7,1,5,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,2,4,8,5,1]=>[3,2,6,7,5,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,8,6,4,5,1,3]=>[2,7,1,3,5,4,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,7,8,4,1,3,6]=>[4,7,2,1,5,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,6,4,1,3,5]=>[7,2,1,3,5,8,6,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,2,7,4,8,5,3,1]=>[3,7,2,5,1,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,8,5,1,7,3,2,4]=>[3,1,4,8,2,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,3,7,4,2,5]=>[8,3,1,6,2,5,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,3,4,8,2,7]=>[4,8,3,6,5,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,2,6,4,8,1,7]=>[6,4,7,3,5,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,4,8,1,7,6]=>[6,4,7,5,1,8,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,8,2,4,1,7,5]=>[3,6,1,7,5,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,3,8,7,5,2,1]=>[5,3,6,1,2,4,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,3,8,7,5,4,2,1]=>[3,6,1,2,4,5,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [6,8,4,2,1,7,5,3]=>[3,1,5,7,8,2,4,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,2,6,4,3,8,1,7]=>[4,7,3,5,6,1,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,7,8,6,4,2,5]=>[6,8,2,1,3,5,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,1,7,6,2,5,4]=>[6,1,8,2,3,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,7,6,4,2,5,3]=>[1,8,2,3,5,7,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,2,6,3,8,5,4,1]=>[2,7,3,6,1,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,3,8,6,4,1,5,2]=>[2,6,1,3,5,8,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,7,5,8,2,4,3,6]=>[8,2,4,1,7,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,2,4,8,3,7]=>[3,8,4,7,5,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,6,3,8,2,4,7]=>[8,4,3,6,1,7,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,7,4,3,8,5,1]=>[7,3,2,5,6,1,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,2,4,7,3,8,6,1]=>[4,7,5,2,6,1,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,8,7,2,4,6,3]=>[8,4,1,2,7,5,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,8,7,3,6,5,2]=>[8,5,1,2,6,3,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,3,7,2,5,1,6,4]=>[1,6,2,7,4,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,2,8,1,5,4,6]=>[6,2,7,1,8,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,1,5,8,4,7]=>[6,7,3,8,4,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,8,1,4,3,6,5]=>[2,7,1,8,5,6,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,8,3,2,6,5,4]=>[8,2,1,6,7,3,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,4,8,3,2,6,5]=>[8,2,5,1,6,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,5,4,8,3,2,6]=>[8,2,4,5,1,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,5,4,3,8,2,7]=>[3,8,4,5,6,1,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,4,5,6,8,2,3]=>[8,2,5,4,3,1,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,6,4,2,3,5,7,8]=>[8,3,5,7,6,4,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,6,5,2,3,4,7,8]=>[8,3,4,7,6,5,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,8,5,2,3,4,6,7]=>[8,1,4,7,6,5,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,8,7,2,3,4,5,6]=>[8,1,2,7,6,5,4,3]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,5,8,6,2,3,4,7]=>[8,4,1,3,7,6,5,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,6,8,5,2,3,4,7]=>[8,3,1,4,7,6,5,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,6,7,5,2,3,4,8]=>[8,3,2,4,7,6,5,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,6,5,7,2,3,4,8]=>[8,3,4,2,7,6,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,5,6,2,3,4,8]=>[8,2,4,3,7,6,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,6,5,2,3,4,8]=>[8,2,3,4,7,6,5,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,3,2,7,6,4,5,8]=>[8,6,7,2,3,5,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,2,3,7,6,4,5,8]=>[8,7,6,2,3,5,4,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,4,2,3,7,6,8]=>[8,4,5,7,6,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,3,7,4,5,6]=>[8,1,7,6,2,5,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,2,3,8,6,7]=>[8,4,5,7,6,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,8,6,4,5,7]=>[8,6,7,1,3,5,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,5,8,2,3,4,6]=>[8,2,4,1,7,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,7,5,2,3,4,6]=>[8,1,2,4,7,6,5,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,7,4,2,8,3,5,6]=>[8,2,5,7,1,6,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,8,5,2,3,4,6]=>[8,2,1,4,7,6,5,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,1,5,8,6,3,7,4]=>[7,8,4,1,3,6,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,8,4,6,1,7,3]=>[7,4,1,5,3,8,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,8,6,1,7,4]=>[7,4,6,1,3,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,3,5,8,1,7,4]=>[7,3,6,4,1,8,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,6,1,3,7,2]=>[4,1,5,3,8,6,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,8,6,1,4,7,2]=>[4,6,1,3,8,5,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,5,7,2,6,4,1]=>[1,6,4,2,7,3,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,6,8,5,3,7,1]=>[7,5,3,1,4,6,2,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,8,1,7,6,5,3]=>[7,5,1,8,2,3,4,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,8,1,5,7,6,2]=>[5,6,1,8,4,2,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,4,1,5,7,6,2]=>[6,1,5,8,4,2,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,6,8,5,2,7,1]=>[5,6,3,1,4,7,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,4,8,5,2,7,1]=>[6,3,5,1,4,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,4,1,8,2,7,5]=>[6,3,5,8,1,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,1,5,2,8,7]=>[6,3,5,8,4,7,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,5,1,3,7,2]=>[5,1,3,4,8,6,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,8,3,5,6,7,1,4]=>[7,1,6,4,3,2,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,4,7,1,8,3]=>[4,3,7,5,2,8,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,4,6,1,8,3]=>[7,2,4,5,3,8,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,4,6,1,8,5]=>[7,6,2,5,3,8,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,4,1,3,8,5]=>[7,3,2,5,8,6,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,6,3,5,7,8,1]=>[7,5,3,6,4,2,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,6,1,5,7,8,4]=>[7,6,3,8,4,2,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,3,6,2,5,7,8,1]=>[5,6,3,7,4,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,1,2,5,7,8,3]=>[5,3,8,7,4,2,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,6,4,1,5,7,8,3]=>[7,3,5,8,4,2,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,1,6,5,7,8,3]=>[7,5,8,3,4,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,7,3,1,8,5,2]=>[3,5,2,6,8,1,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,7,5,3,1,8,2]=>[3,5,2,4,6,8,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,7,3,1,8,6,5,2]=>[5,2,6,8,1,3,4,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,6,5,3,1,7,2]=>[5,1,3,4,6,8,2,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,6,4,7,3,1,8,2]=>[4,3,5,2,6,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,4,2,7,1,8,3]=>[4,3,5,7,2,8,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,8,2,1,7,4]=>[4,6,3,1,7,8,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,5,3,1,8,6]=>[5,7,2,4,6,8,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,2,8,6,5,3,1,7]=>[5,7,1,3,4,6,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,6,3,2,8,4,1,7]=>[4,3,6,7,1,5,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,6,4,8,2,1,7]=>[4,6,3,5,1,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,4,3,2,5,1,7]=>[3,1,5,6,7,4,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,3,2,6,5,1,7]=>[5,1,6,7,3,4,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,3,8,7,2,1,5]=>[5,3,6,1,2,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,6,3,2,5,1,8]=>[5,2,3,6,7,4,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,3,8,2,1,5]=>[5,2,3,6,1,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,8,6,2,1,5]=>[5,2,6,1,3,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,8,7,2,1,6,3]=>[4,5,1,2,7,8,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,7,3,2,6,1,8,4]=>[4,2,6,7,3,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,2,6,4,1,8]=>[4,2,6,7,3,5,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,7,5,1,8,4,3]=>[3,7,2,4,8,1,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,7,5,1,8,6,4,3]=>[7,2,4,8,1,3,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,5,3,1,8,6,4]=>[7,2,4,6,8,1,3,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,6,5,3,1,7,4]=>[7,1,3,4,6,8,2,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,7,5,4,2,6,1,8]=>[6,2,4,5,7,3,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,2,8,7,4,3,1,6]=>[4,7,1,2,5,6,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,2,7,3,1,8,6,5]=>[5,7,2,6,8,1,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,3,7,5,8,2,1,6]=>[5,6,2,4,1,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,7,5,2,6,1,8]=>[5,6,2,4,7,3,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,7,3,2,6,1,8]=>[5,4,2,6,7,3,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,7,3,8,2,1,6]=>[5,4,2,6,1,7,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,4,5,3,7,2,1,6]=>[1,5,4,6,2,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,5,8,7,2,1,6]=>[5,6,4,1,2,7,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,4,8,7,2,1,6]=>[6,4,5,1,2,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,4,8,2,1,7,5]=>[6,3,5,1,7,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,2,7,1,8,6,5]=>[6,5,7,2,8,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,2,7,5,1,8,6]=>[6,5,7,2,4,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,2,8,6,5,1,7]=>[6,5,7,1,3,4,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,5,2,8,6,1,7]=>[5,6,4,7,1,3,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,3,6,8,2,1,7]=>[5,4,6,3,1,7,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,6,4,5,7,3]=>[8,7,1,3,5,4,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,8,5,3,4,6,7,2]=>[8,1,4,6,5,3,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,4,1,6,3,5,2]=>[2,1,5,8,3,6,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,4,1,8,5,7]=>[6,7,3,5,8,1,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,6,5,3,1,4,7]=>[7,1,3,4,6,8,5,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,4,8,6,2,3,1,7]=>[4,5,1,3,7,6,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,7,5,2,3,1,6]=>[5,1,2,4,7,6,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,2,4,7,6,8,3,1]=>[4,7,5,2,3,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,3,7,6,8,4,1]=>[7,4,6,2,3,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,2,8,6,5,3,7]=>[5,8,7,1,3,4,6,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,1,8,5,2,3,7]=>[5,3,8,1,4,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,2,8,7,5,1,6]=>[6,5,7,1,2,4,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,8,5,4,2,7,3,6]=>[8,1,4,5,7,2,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,7,1,2,8,5,4,6]=>[6,2,8,7,1,4,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,4,6,8,3,1,5,2]=>[2,5,3,1,6,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,6,1,5,8,4,2]=>[6,2,3,8,4,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,5,8,2,7,4,1]=>[6,3,4,1,7,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,5,8,4,1,3,6,2]=>[2,4,1,5,8,6,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,6,2,3,8,4,5]=>[2,8,3,7,6,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,7,1,3,2,8,5]=>[3,5,2,8,6,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,7,3,5,1,6,4]=>[7,1,2,6,4,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,4,8,6,2,5]=>[6,8,2,5,1,3,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,5,1,4,7,2,6]=>[6,1,4,8,5,2,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,5,4,1,3,8,6]=>[2,7,4,5,8,6,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,7,2,3,8,1,6,5]=>[5,2,7,6,1,8,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,1,6,7,5,4]=>[1,7,6,8,3,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,5,8,1,6,3,2,4]=>[2,4,1,8,3,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,2,5,6,4,8,1]=>[6,2,7,4,3,5,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,4,1,5,8,3]=>[3,2,7,5,8,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,8,4,7,6,3]=>[4,8,7,1,5,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,4,8,5,6,2,3]=>[2,8,5,1,4,3,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,8,4,7,1,3]=>[4,7,3,1,5,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,5,8,2,7,1,4]=>[6,3,4,1,7,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,3,8,2,5,4]=>[2,8,3,6,1,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,6,4,3,7,2]=>[1,8,4,3,5,6,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,1,4,6,5,2]=>[2,6,1,8,5,3,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,4,6,1,3,2,5,8]=>[2,5,3,8,6,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,4,5,8,6,3,2,7]=>[8,5,4,1,3,6,7,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [8,4,5,7,2,6,1,3]=>[1,5,4,2,7,3,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,5,6,2,1,8]=>[6,2,5,4,3,7,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,2,6,7,3,1,8]=>[5,4,7,3,2,6,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,2,5,6,3,4,8]=>[2,8,7,4,3,6,5,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,7,5,3,6,2,4]=>[1,8,2,4,6,3,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,6,3,5,7,2,4]=>[8,1,3,6,4,2,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,6,3,1,7,2,4]=>[4,1,3,6,8,2,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,6,3,5,7,2,1]=>[5,1,3,6,4,2,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,1,6,5,8,3,4,7]=>[7,8,3,4,1,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,6,3,1,7,8,4]=>[4,7,3,6,8,2,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,5,7,3,4,8,1]=>[3,7,4,2,6,5,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,6,3,1,8,4]=>[2,7,4,3,6,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,6,5,1,7,2,3]=>[5,1,3,4,8,2,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,3,5,1,6,7,8,2]=>[5,6,4,8,3,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,4,3,6,7,8,2]=>[4,8,5,6,3,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,5,2,3,7,8,1]=>[5,3,4,7,6,2,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,7,5,1,2,8,4]=>[6,3,2,4,8,7,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,6,8,5,2,4,3]=>[8,2,3,1,4,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,6,8,1,2,4,3]=>[4,2,3,1,8,7,5,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,8,7,6,4,2]=>[6,8,4,1,2,3,5,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,4,6,1,5,2,8,7]=>[6,5,3,8,4,7,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,7,1,4,8,2]=>[4,3,6,2,8,5,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,2,5,8,6,4,7]=>[6,8,7,4,1,3,5,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,7,4,5,1,2,6]=>[6,1,2,5,4,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,4,1,7,8,5]=>[7,3,6,5,8,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,6,4,5,7,2,1]=>[6,1,3,5,4,2,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,6,1,4,5,2,3]=>[2,1,3,8,5,4,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,5,8,1,4,6,2,3]=>[2,4,1,8,5,3,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,8,4,1,7,2,3]=>[3,4,1,5,8,2,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,5,4,7,6,2,3]=>[8,1,4,5,2,3,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,4,6,7,2,3]=>[8,1,4,5,3,2,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,8,3,7,2,1,4]=>[3,4,1,6,2,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,8,5,3,6,2,1,4]=>[2,1,4,6,3,7,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,5,3,6,2,4,1]=>[2,1,4,6,3,7,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,8,3,2,7,5,1]=>[3,5,1,6,7,2,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,4,3,2,6,5,1]=>[2,1,5,6,7,3,4,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,4,3,2,6,5,7]=>[8,1,5,6,7,3,4,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,4,3,2,6,7,5]=>[8,1,5,6,7,3,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,4,3,2,6,1,5]=>[2,1,5,6,7,3,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,8,3,2,1,7,5]=>[3,5,1,6,7,8,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,8,4,3,2,7,6,5]=>[8,1,5,6,7,2,3,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,5,8,1,3,2,6,4]=>[2,4,1,8,6,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,6,7,3,2,5,4]=>[8,1,3,2,6,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,6,7,3,2,4,5]=>[8,1,3,2,6,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,6,1,3,2,4,5]=>[2,1,3,8,6,7,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,8,3,1,2,4,7]=>[3,4,1,6,8,7,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,8,4,3,2,7,5,6]=>[8,1,5,6,7,2,4,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,8,3,2,5,1,7]=>[3,5,1,6,7,4,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,4,3,2,5,7,6]=>[8,1,5,6,7,4,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,4,8,3,2,5,7,1]=>[3,5,1,6,7,4,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,3,6,1,4,8,7]=>[4,7,6,3,8,5,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,3,7,4,8,1,6]=>[4,7,6,2,5,1,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,3,4,5,8,1,6]=>[2,7,6,5,4,1,8,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,8,1,5,3,4,6]=>[2,7,1,8,4,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,8,6,4,5,7,3]=>[7,8,1,3,5,4,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,2,5,7,3,1,6]=>[5,1,7,4,2,6,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,2,3,4,7,1,6]=>[4,1,7,6,5,2,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,3,4,7,8,2,1,5]=>[3,6,5,2,1,7,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,1,4,7,6,2]=>[6,1,4,8,5,2,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,8,5,2,7,3,1]=>[5,3,1,4,7,2,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,3,6,2,8,1,5,4]=>[2,6,3,7,1,8,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,5,2,3,7,6,4]=>[1,8,4,7,6,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,8,3,7,2,1,6]=>[5,4,1,6,2,7,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,8,4,6,2,7]=>[6,4,8,1,5,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,6,5,8,3,7]=>[5,8,7,3,4,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,3,2,6,7,5]=>[5,8,1,6,7,3,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,7,5,8,1,3,6]=>[5,7,2,4,1,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,2,7,8,3,1,5]=>[5,3,7,2,1,6,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,3,8,2,5,7]=>[5,3,8,6,1,7,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,6,2,1,8,7,5]=>[5,6,3,7,8,1,2,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,7,4,5,1,6,2,8]=>[6,2,5,4,8,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,4,5,8,2,1,7]=>[6,3,5,4,1,7,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,5,2,8,7,3]=>[3,8,5,4,7,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,4,5,1,6,3,8]=>[2,7,5,4,8,3,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,8,6,3,2,7]=>[8,4,5,1,3,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,7,5,3,6,4,2]=>[8,1,2,4,6,3,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,3,7,4,1,6,2,5]=>[1,6,2,5,8,3,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,4,2,6,5,3,8]=>[8,2,5,7,3,4,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,4,8,6,3,2,5]=>[2,8,5,1,3,6,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,8,5,6,7,2,3]=>[5,8,1,4,3,2,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,4,8,6,2,1,3]=>[4,2,5,1,3,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,6,8,2,7,1,4]=>[4,6,3,1,7,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,7,4,8,2,1,5]=>[3,6,2,5,1,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,6,1,4,7,2,8]=>[4,6,3,8,5,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,6,8,2,7,1,5]=>[5,6,3,1,7,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,4,8,2,1,6]=>[4,6,2,5,1,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,8,4,1,6,2,7]=>[4,6,1,5,8,3,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,8,1,4,7,2,6]=>[4,6,1,8,5,2,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,4,1,6,3,2,7]=>[4,1,5,8,3,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,8,4,1,6,2,5]=>[2,6,1,5,8,3,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,8,3,6,7,4,2]=>[8,4,1,6,3,2,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,2,5,6,7,3,4]=>[8,1,7,4,3,2,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,1,6,5,2,3]=>[2,1,5,8,3,4,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,8,1,5,7,2,4]=>[3,6,1,8,4,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,4,2,6,5,3,7]=>[1,8,5,7,3,4,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,3,7,4,8,2,6]=>[4,8,6,2,5,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,4,7,8,2,6]=>[4,8,6,5,2,1,7,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,8,7,4,3,6,1]=>[7,4,1,2,5,6,3,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,1,4,3,8,7,2,6]=>[4,8,5,6,1,2,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,7,8,3,4,2,6]=>[4,8,2,1,6,5,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,2,3,6,4,7]=>[4,1,8,7,6,3,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,8,2,3,4,1,7]=>[4,3,1,7,6,5,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,7,4,6,8,1]=>[7,6,4,2,5,3,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,7,4,5,8,1,2,6]=>[6,2,5,4,1,8,7,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,7,8,1,4,5,2,6]=>[6,2,1,8,5,4,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,7,1,5,3,2,6]=>[5,1,2,8,4,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,2,1,6,3,4,7]=>[4,1,7,8,3,6,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,1,8,5,4,2,6]=>[6,2,8,1,4,5,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,8,1,3,7,5,2,6]=>[5,1,8,6,2,4,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,8,4,6,7,1]=>[7,4,6,1,5,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,3,1,5,7,2,6]=>[5,1,6,8,4,2,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,8,5,1,2,7,6]=>[5,6,1,4,8,7,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,3,5,8,2,1,7,6]=>[5,6,4,1,7,8,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,5,3,7,1,2,6]=>[5,1,4,6,2,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,5,7,3,1,2,6]=>[5,1,4,2,6,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,7,5,1,3,2,6]=>[5,1,2,4,8,6,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,2,8,5,1,3,6,7]=>[5,7,1,4,8,6,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,7,8,4,1,5,2,6]=>[6,2,1,5,8,4,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,7,5,8,2,1,6]=>[6,5,2,4,1,7,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,5,7,2,8,1,6]=>[6,5,4,2,7,1,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,8,7,2,4,5]=>[8,6,3,1,2,7,5,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,6,3,8,2,5,4,7]=>[8,3,6,1,7,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,7,2,4,3,6]=>[8,1,4,2,7,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,4,2,3,6,7]=>[8,1,4,5,7,6,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,3,6,8,5,4,2,7]=>[8,6,3,1,4,5,7,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,8,2,6,4,5,3,7]=>[8,1,7,3,5,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,7,4,8,3,6]=>[8,4,7,2,5,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,7,5,8,3,6]=>[8,5,7,2,4,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,3,6,7,5,4]=>[8,1,7,6,3,2,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,3,6,8,2,7,5,4]=>[8,6,3,1,7,2,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,6,5,4,3,8,2,7]=>[8,3,4,5,6,1,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,3,4,5,6,2,7]=>[8,1,6,5,4,3,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,8,3,6,2,4,5,7]=>[8,1,6,3,7,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,3,6,2,5,4,7]=>[8,1,6,3,7,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,8,3,6,2,7]=>[8,4,5,1,6,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,5,8,3,6,2,7]=>[8,5,4,1,6,3,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,8,4,5,2,7]=>[8,6,3,1,5,4,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,7,8,4,5,3,6]=>[8,7,2,1,5,4,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,2,8,4,3,6,5,1]=>[2,7,1,5,6,3,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,8,5,6,3,4,1]=>[2,7,1,4,3,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,7,5,4,1,3]=>[3,7,1,2,4,5,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,2,8,4,3,7,1,5]=>[3,7,1,5,6,2,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,8,4,3,1,7,6]=>[4,7,1,5,6,8,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,4,7,3,2,6,8,5]=>[8,5,2,6,7,3,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,7,3,6,2,8,4]=>[8,4,2,6,3,7,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,7,1,5,4,8]=>[6,3,7,2,8,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,5,4,8,3,7,6]=>[8,7,4,5,1,6,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,5,8,2,7,6]=>[8,5,6,4,1,7,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,6,8,7,2,5]=>[8,5,6,3,1,2,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,7,6,8,2,4]=>[8,4,6,2,3,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,4,5,7,8,2,3]=>[8,3,5,4,2,1,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,2,6,5,7,8,1,3]=>[5,7,3,4,2,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,5,7,6,8,1,4]=>[6,7,4,2,3,1,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,4,6,8,7,1,5]=>[6,7,5,3,1,2,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,8,7,5,2,6,3]=>[5,8,1,2,4,7,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,1,8,6,4,7,2,5]=>[6,8,1,3,5,2,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,6,8,5,4,2,7]=>[6,8,3,1,4,5,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,8,1,7,6,3,5]=>[7,5,1,8,2,3,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,1,7,6,5,2,4]=>[6,1,8,2,3,4,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,1,5,7,3,2,8]=>[5,3,8,4,2,6,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,1,5,3,6,2,7]=>[5,1,8,4,6,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,6,4,2,7,3]=>[4,1,8,3,5,7,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,8,2,7,6,1,4]=>[4,6,1,7,2,3,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,5,7,2,4,1,8]=>[3,6,4,2,7,5,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,8,5,1,4,3,7]=>[7,3,1,4,8,5,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,3,8,7,2,6,5,1]=>[5,6,1,2,7,3,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,3,6,8,2,5,7,1]=>[5,6,3,1,7,4,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,5,8,1,4,7,3]=>[7,3,4,1,8,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,5,1,8,4,6,3]=>[7,2,4,8,1,5,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,5,2,1,6,4,3]=>[2,1,4,7,8,3,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,7,3,2,8,1,5,4]=>[3,2,6,7,1,8,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,3,1,6,2,5]=>[2,1,5,6,8,3,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,5,6,2,7,1,4]=>[6,1,4,3,7,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,5,8,7,3,1,6]=>[7,5,4,1,2,6,8,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,5,8,6,7,1,3]=>[7,5,4,1,3,2,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,1,5,8,6,7,2,3]=>[5,8,4,1,3,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,5,6,1,2,8,3]=>[5,2,4,3,8,7,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,7,5,6,2,8,1]=>[5,6,2,4,3,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,1,8,6,7,3,2]=>[5,4,8,1,3,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,8,6,7,4,3]=>[7,8,4,1,3,2,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,5,8,7,1,2,6]=>[6,5,4,1,2,8,7,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,7,1,5,6,2,8,3]=>[5,2,8,4,3,7,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,7,1,3,8,5]=>[7,3,5,2,8,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,8,6,4,7,2,1]=>[4,6,1,3,5,2,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,4,6,1,7,2,5]=>[6,1,5,3,8,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,5,6,4,7,2,1]=>[6,1,4,3,5,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,6,5,2,7,4,1]=>[6,1,3,4,7,2,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,8,7,5,2,1,4,6]=>[6,1,2,4,7,8,5,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,8,6,5,1,7,2,4]=>[6,1,3,4,8,2,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,1,4,6,7,2,8,3]=>[4,8,5,3,2,7,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,5,3,7,8,4]=>[7,8,3,4,6,2,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,4,7,2,3,8,5]=>[3,8,5,2,7,6,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,2,5,4,8,3,7]=>[8,3,7,4,5,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,7,5,8,3,6]=>[5,8,7,2,4,1,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,5,8,2,4,7]=>[3,8,6,4,1,7,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,4,3,1,8,2,7]=>[4,3,5,6,8,1,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,2,3,5,8,1,4,7]=>[3,7,6,4,1,8,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,3,8,4,5,1]=>[3,2,7,6,1,5,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,1,3,8,4,5]=>[3,2,7,8,6,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,4,1,8,3,2,6]=>[4,2,5,8,1,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,7,5,8,3,6,2]=>[5,8,2,4,1,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,1,3,8,4,5,2]=>[3,2,8,6,1,5,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,7,4,3,8,5,2]=>[8,3,2,5,6,1,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,1,7,4,2,8,5,3]=>[3,8,2,5,7,1,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,6,7,4,3,8,5]=>[7,8,3,2,5,6,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,3,2,1,8,4,5]=>[3,2,6,7,8,1,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,5,7,3,1,4,8,6]=>[7,4,2,6,8,5,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,3,2,8,4,5,1]=>[3,2,6,7,1,5,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,7,4,3,8,5]=>[8,7,3,2,5,6,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,7,1,8,4,6,3,5]=>[7,2,8,1,5,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,5,8,1,6,3,4]=>[7,2,4,1,8,3,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,8,4,5,3,2]=>[3,2,8,1,5,4,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,7,6,1,2,5,4]=>[1,6,2,3,8,7,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,5,7,1,4,6,3]=>[1,7,4,2,8,5,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,4,7,1,5,6,3]=>[1,7,5,2,8,4,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,3,4,7,1,5,6]=>[1,7,6,5,2,8,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,4,6,7,5,1,2,3]=>[1,5,3,2,4,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,6,7,5,1,3,2]=>[1,5,3,2,4,8,6,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,5,7,6,1,4,2]=>[1,6,4,2,3,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,7,6,4,1,2,3]=>[1,4,2,3,5,8,7,6]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,6,5,1,2,3]=>[1,5,2,3,4,8,7,6]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,4,6,1,5,8,3]=>[7,2,5,3,8,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,3,7,1,8,5,4]=>[7,3,6,2,8,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,3,4,8,1,6,7]=>[7,4,6,5,1,8,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,8,4,5,1,6,7]=>[7,6,1,5,4,8,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,5,4,8,3,1,7]=>[3,7,4,5,1,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,5,4,8,3,2,7]=>[8,3,4,5,1,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,8,5,3,2,7]=>[8,3,5,1,4,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,4,3,1,5,6,7]=>[1,7,5,6,8,4,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,7,3,5,8,4,6,2]=>[8,2,6,4,1,5,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,1,2,5,6,7]=>[5,1,6,8,7,4,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,8,1,3,2,5,6,7]=>[5,1,8,6,7,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,5,8,3,2,4,6,1]=>[2,4,1,6,7,5,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,8,3,4,6,5,2]=>[2,8,1,6,5,3,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,5,3,8,6,2,7]=>[5,8,4,6,1,3,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,5,1,8,3,2,7]=>[5,3,4,8,1,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,7,1,3,2,8,4]=>[3,4,2,8,6,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,3,6,4,8,5,1]=>[7,2,6,3,5,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,1,5,8,4,6,2]=>[6,2,8,4,1,5,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,1,2,5,6,7]=>[6,1,5,8,7,4,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [3,8,1,4,2,5,6,7]=>[6,1,8,5,7,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,1,8,4,3,5,6,7]=>[7,8,1,5,6,4,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,2,7,6,4,8,5,1]=>[6,7,2,3,5,1,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,3,7,6,4,8,5,2]=>[8,6,2,3,5,1,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,2,7,5,8,4,6,3]=>[8,7,2,4,1,5,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,8,7,6,4,2,5]=>[6,8,1,2,3,5,7,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,1,8,7,5,4,2,6]=>[6,8,1,2,4,5,7,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,1,7,6,5,4,2,8]=>[6,8,2,3,4,5,7,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,7,1,6,5,3,2,8]=>[5,2,8,3,4,6,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,8,1,6,5,3,2,7]=>[5,1,8,3,4,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,6,1,4,3,2,8]=>[2,4,3,8,5,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,6,1,4,3,2,7]=>[1,4,3,8,5,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,7,1,4,3,2,6]=>[1,4,2,8,5,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,6,1,4,3,2,8]=>[4,2,3,8,5,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,6,1,4,3,2,7]=>[4,1,3,8,5,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,5,1,4,3,2,8]=>[3,2,4,8,5,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,2,7,6,4,8]=>[6,8,4,7,2,3,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,6,7,8,5,4,2]=>[6,8,3,2,1,4,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,6,3,4,2,5,7]=>[8,1,3,6,5,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,6,4,5,2,7,8]=>[6,8,3,5,4,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,6,7,8,5,2,4]=>[6,8,3,2,1,4,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,6,4,5,8,2,7]=>[6,8,3,5,4,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,6,3,4,2,7,5]=>[8,1,3,6,5,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,3,2,1,8,5]=>[5,3,2,6,7,8,1,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,8,7,2,5,1,3]=>[5,3,1,2,7,4,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,8,3,5,2,1,7]=>[5,3,1,6,4,7,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,7,4,2,8,1]=>[4,3,6,2,5,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,3,7,5,1,8,4]=>[3,7,6,2,4,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,3,1,7,5,8,4]=>[3,7,6,8,2,4,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,7,3,5,2,8,4]=>[3,8,2,6,4,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,3,4,5,2,8]=>[2,8,3,6,5,4,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,6,3,4,5,8,2]=>[2,8,3,6,5,4,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,2,7,8,5,4,3,1]=>[3,7,2,1,4,5,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,8,1,7,4,5,3,2]=>[3,1,8,2,5,4,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,7,6,1,4,3,5]=>[1,7,2,3,8,5,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,7,8,1,4,3,6]=>[4,7,2,1,8,5,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,6,8,4,3,1]=>[4,7,2,3,1,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,6,3,8,4,1,2,7]=>[4,3,6,1,5,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,7,3,5,1,8,2]=>[5,3,2,6,4,8,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,3,5,1,2,8]=>[5,3,2,6,4,8,7,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,3,6,1,5,8,4]=>[2,7,6,3,8,4,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,7,6,1,4,5,3]=>[1,7,2,3,8,5,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,3,4,7,1,6,8]=>[4,7,6,5,2,8,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,4,8,1,7,6]=>[4,7,6,5,1,8,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,7,1,6,8,4]=>[4,7,6,2,8,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,3,4,7,8,1,6]=>[4,7,6,5,2,1,8,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,2,5,1,6,8]=>[6,2,5,7,4,8,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,7,8,5,2,3,6]=>[8,5,2,1,4,7,6,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,2,6,7,4,1,5,8]=>[6,7,3,2,5,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,3,5,1,8,4,2]=>[3,2,6,4,8,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,3,2,5,8,1,7]=>[5,3,6,7,4,1,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,8,7,4,1,3,5]=>[7,3,1,2,5,8,6,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,8,3,7,6,4,1,2]=>[4,1,6,2,3,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,7,1,4,2,5,8]=>[6,3,2,8,5,7,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,5,8,2,1,3,6]=>[5,2,4,1,7,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,5,2,7,4,3,8]=>[3,8,4,7,2,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,2,7,5,4,3,6]=>[1,8,7,2,4,5,6,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,5,3,2,6,4,7]=>[1,8,4,6,7,3,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,3,6,5,4,2,7]=>[8,1,6,3,4,5,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,5,2,8,1,3,7]=>[5,3,4,7,1,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,7,5,3,2,6,4]=>[8,1,2,4,6,7,3,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,1,7,6,3,2,8,4]=>[4,8,2,3,6,7,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,7,6,2,5,1,3,8]=>[5,2,3,7,4,8,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,1,5,6,8,2]=>[5,2,6,8,4,3,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,1,5,4,2,3,6]=>[2,1,8,4,5,7,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,8,4,5,6,3,7]=>[7,8,1,5,4,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,5,1,4,6,3,8]=>[7,2,4,8,5,3,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,8,1,5,7,2]=>[6,5,3,1,8,4,2,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,2,5,6,1,3,7,8]=>[5,7,4,3,8,6,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,6,1,4,3,8,2]=>[4,2,3,8,5,6,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,7,5,4,2,3]=>[3,1,8,2,4,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,7,1,4,2,8,3]=>[4,3,2,8,5,7,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,7,1,4,2,8]=>[3,6,4,2,8,5,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,7,4,8,1,3]=>[4,7,3,2,5,1,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,2,4,1,3,8]=>[3,2,4,7,5,8,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,6,1,3,4,8,2]=>[4,2,3,8,6,5,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,5,6,4,8,1,3,2]=>[2,4,3,5,1,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,3,6,8,2,4,5]=>[2,8,6,3,1,7,5,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,5,7,8,4,6,3]=>[8,7,4,2,1,5,3,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,1,2,7,5,4,8,6]=>[6,8,7,2,4,5,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,3,4,7,8,2,6]=>[8,4,6,5,2,1,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,3,7,8,2,6]=>[5,8,4,6,2,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,4,6,5,2,7,3]=>[1,8,5,3,4,7,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,5,4,6,3,2,8]=>[2,8,4,5,3,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,2,4,7,6,3,8,5]=>[8,7,5,2,3,6,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,2,4,3,7,1,6,8]=>[4,7,5,6,2,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,5,4,8,3,2,7]=>[3,8,4,5,1,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,2,8,7,4,3,6,5]=>[8,7,1,2,5,6,3,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,3,6,4,7,8,2,5]=>[8,6,3,5,2,1,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,1,7,8,4,6]=>[4,7,6,8,2,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,4,3,7,8,2,5]=>[8,3,5,6,2,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,4,6,5,1,2,7,3]=>[1,5,3,4,8,7,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,5,6,3,7,8,2,4]=>[8,4,3,6,2,1,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,3,5,7,2,4,1]=>[3,1,6,4,2,7,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,8,4,5,7,2]=>[8,3,6,1,5,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,4,3,2,8,6,5]=>[2,8,5,6,7,1,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,3,8,4,7,5,6,1]=>[7,6,1,5,2,4,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,6,2,5,8,1]=>[6,2,5,3,7,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,7,3,1,8,4,5]=>[3,7,2,6,8,1,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,7,8,6,2,5,1]=>[5,6,2,1,3,7,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,3,4,7,5,6,1]=>[1,7,6,5,2,4,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,8,6,1,5,3]=>[7,5,2,1,3,8,4,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,6,7,3,8,5,1,4]=>[7,3,2,6,1,4,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,5,1,7,3,6]=>[7,5,1,4,8,2,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,3,5,1,6,4,7]=>[7,1,6,4,8,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,4,6,3,7,5,1]=>[1,7,5,3,6,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,3,5,1,4,6,7]=>[7,1,6,4,8,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,6,2,5,7,8,1]=>[6,5,3,7,4,2,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,2,6,1,7,8,3]=>[5,4,7,3,8,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,5,7,8,1,2,4]=>[6,3,4,2,1,8,7,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,3,8,2,1,7,6]=>[5,4,6,1,7,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,3,2,5,1,6,7]=>[5,1,6,7,4,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,8,3,7,1,6]=>[7,4,5,1,6,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,1,7,4,2,6]=>[4,1,6,8,2,5,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,8,6,1,3,2,7]=>[4,5,1,3,8,6,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,5,2,6,8,3,1]=>[5,2,4,7,3,1,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,4,2,8,6,3,1]=>[4,2,5,7,1,3,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,2,3,8,5,7,1]=>[5,3,7,6,1,4,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,4,5,6,8,1]=>[6,2,7,5,4,3,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,2,7,1,3,8,6,4]=>[4,7,2,8,6,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,3,7,8,2,5,6,1]=>[5,6,2,1,7,4,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,8,5,1,2,4,7]=>[3,6,1,4,8,7,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,3,5,8,2,7,1,6]=>[5,6,4,1,7,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,8,2,5,6,1,7]=>[5,6,1,7,4,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,6,2,7,5,3,8]=>[8,5,3,7,2,4,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,7,5,1,4,6,3]=>[1,7,2,4,8,5,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,4,6,8,3,5,2]=>[8,2,5,3,1,6,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,1,5,8,6,3]=>[2,7,5,8,4,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,2,1,5,4,6,3]=>[2,1,7,8,4,5,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,8,6,5,3,7]=>[8,5,7,1,3,4,6,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,4,8,5,2,6,3,7]=>[8,5,1,4,7,3,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,2,4,6,3,8,7]=>[8,4,7,5,3,6,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,3,2,6,4,7]=>[8,1,4,6,7,3,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,2,3,7,8,1,6,4]=>[4,7,6,2,1,8,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,6,3,1,7,4]=>[4,7,1,3,6,8,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,2,3,5,1,8,7,4]=>[3,7,6,4,8,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,5,3,7,1,8,4]=>[3,7,4,6,2,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,7,8,6,2,1,3]=>[5,4,2,1,3,7,8,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,8,4,3,6,7,5]=>[8,7,1,5,6,3,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,8,3,2,4,6,7,5]=>[8,1,6,7,5,3,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,7,5,3,4,6,8]=>[8,7,2,4,6,5,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,2,7,4,5,3,8,6]=>[8,7,2,5,4,6,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,2,6,8,4,5]=>[8,2,6,7,3,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,7,1,4,3,5,6]=>[1,7,2,8,5,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,5,2,7,1,8,3]=>[5,3,4,7,2,8,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,5,3,1,8,4]=>[3,2,7,4,6,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,2,5,4,1,8,6]=>[6,2,7,4,5,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,4,7,5,1,8,3]=>[7,3,5,2,4,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,7,6,5,1,8,2]=>[6,5,2,3,4,8,1,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,4,7,6,2,8,5,1]=>[6,5,2,3,7,1,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,8,2,6,5,3,1]=>[5,2,1,7,3,4,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,8,1,6,5,3,2]=>[5,2,1,8,3,4,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,7,1,5,4,2,8]=>[6,3,2,8,4,5,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,6,1,4,2,7]=>[6,4,1,3,8,5,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,4,7,2,8,5,3]=>[8,3,5,2,7,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,7,5,2,8,4,6]=>[8,6,2,4,7,1,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,7,6,3,8,5,2]=>[8,5,2,3,6,1,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,8,2,6,5,4,3]=>[8,2,1,7,3,4,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,6,2,7,5,4,8]=>[8,6,3,7,2,4,5,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,6,5,4,3,7]=>[8,1,7,3,4,5,6,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,8,2,7,5,4,6]=>[8,6,1,7,2,4,5,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,4,2,7,6,3,5]=>[8,1,5,7,2,3,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,7,5,4,3,8]=>[7,3,8,2,4,5,6,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,7,1,6,5,4,3,8]=>[7,2,8,3,4,5,6,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,8,6,1,4,3,7]=>[4,7,1,3,8,5,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,8,1,6,5,4,2]=>[2,6,1,8,3,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,3,8,2,6,5,4,1]=>[2,6,1,7,3,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,6,5,3,1,7,2,8]=>[5,3,4,6,8,2,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,3,6,1,2,8,7,4]=>[4,6,3,8,7,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,5,4,1,2,8,7,6]=>[6,4,5,8,7,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,5,1,2,8,7,3]=>[5,3,4,8,7,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,1,2,7,5,3,4]=>[3,1,8,7,2,4,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,3,8,7,5,1]=>[5,3,7,6,1,2,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,2,7,4,8,6,5,1]=>[6,7,2,5,1,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,6,2,7,5,4,3]=>[1,8,3,7,2,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,1,2,8,5,4,3,7]=>[3,8,7,1,4,5,6,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,3,8,6,5,4,2]=>[2,8,6,1,3,4,5,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,2,3,8,6,5,4,1]=>[2,7,6,1,3,4,5,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,1,3,7,6,5,4,2]=>[1,8,6,2,3,4,5,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,3,7,4,8,6,5,2]=>[8,6,2,5,1,3,4,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,1,8,7,3,6,5]=>[7,5,8,1,2,6,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,5,1,7,3,6,4]=>[7,1,4,8,2,6,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,1,5,4,3,7,6]=>[7,1,8,4,5,6,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,6,1,5,4,3,7]=>[7,1,3,8,4,5,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,5,8,4,3,7]=>[7,3,8,4,1,5,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,1,5,4,3,6,7]=>[7,1,8,4,5,6,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,6,1,5,3,2,8]=>[2,5,3,8,4,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,6,1,5,3,2,7]=>[1,5,3,8,4,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,8,6,1,5,4,2]=>[2,6,1,3,8,4,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,5,1,6,8,4,2,7]=>[6,4,8,3,1,5,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,7,8,2,6,4]=>[6,4,8,2,1,7,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,8,6,1,5,4,2]=>[6,2,1,3,8,4,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,8,4,6,1,5,3,2]=>[2,1,5,3,8,4,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,1,5,3,2,7,8]=>[5,3,8,4,6,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,7,8,2,1,6,3]=>[4,5,2,1,7,8,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,6,8,3,2,1,7]=>[4,5,3,1,6,7,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,5,8,3,2,1,7]=>[3,5,4,1,6,7,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,5,8,2,1,6,3]=>[2,5,4,1,7,8,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,6,8,1,5,3,2]=>[2,5,3,1,8,4,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,1,8,4,2,7]=>[4,6,3,8,1,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,8,7,1,5,4,2]=>[3,6,1,2,8,4,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,7,1,5,3,2,8]=>[3,5,2,8,4,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,7,2,1,6,3,8]=>[4,5,2,7,8,3,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,4,6,2,1,8,5,7]=>[6,5,3,7,8,1,4,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,7,2,1,6,3,8]=>[5,4,2,7,8,3,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,7,1,5,3,2,8]=>[5,3,2,8,4,6,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,8,3,2,1,7]=>[4,3,5,1,6,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,4,8,2,1,6,3]=>[4,2,5,1,7,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,6,8,1,5,3,2]=>[5,2,3,1,8,4,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,5,8,2,1,6,3]=>[5,2,4,1,7,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,1,7,2,8,5,4]=>[6,3,8,2,7,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,4,2,6,3,8,1]=>[4,2,5,7,3,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,1,6,2,8,3]=>[4,2,5,8,3,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,3,1,5,2,6,4]=>[2,1,6,8,4,7,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,4,1,7,5,2,6]=>[1,6,5,8,2,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,7,3,1,4,2,5]=>[3,1,2,6,8,5,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,5,6,1,7,3,2,4]=>[1,4,3,8,2,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,1,6,7,8,3,2]=>[5,4,8,3,2,1,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,8,2,6,7,4,1,3]=>[4,1,7,3,2,5,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,2,1,7,3,4]=>[4,3,1,7,8,2,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,4,8,7,2,1,3,5]=>[3,5,1,2,7,8,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,5,2,6,1,3,8,7]=>[5,4,7,3,8,6,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,6,8,2,7,3,4]=>[4,8,3,1,7,2,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,3,4,7,8,1]=>[4,7,3,6,5,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,2,3,5,7,8,1]=>[5,3,7,6,4,2,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [8,3,6,5,7,1,2,4]=>[1,6,3,4,2,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,3,7,1,5,4,6]=>[1,7,6,2,8,4,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,7,3,1,4,5]=>[7,1,3,2,6,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,6,7,2,5,1,3]=>[1,5,3,2,7,4,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,6,7,2,5,8,1]=>[6,5,3,2,7,4,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [7,1,4,6,8,3,5,2]=>[2,8,5,3,1,6,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,2,6,1,4,5,3]=>[2,1,7,3,8,5,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,8,2,1,3,6,4]=>[2,4,1,7,8,6,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,7,1,5,6,8,4,2]=>[6,2,8,4,3,1,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,7,1,2,4,8,5,3]=>[3,2,8,7,5,1,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,3,4,7,8,5,2]=>[8,3,6,5,2,1,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,6,4,7,5,8,1]=>[7,6,3,5,2,4,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,7,4,6,8,1]=>[7,4,6,2,5,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,8,1,3,5,6,2]=>[2,5,1,8,6,4,3,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,7,3,5,6,8,1]=>[5,7,2,6,4,3,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,8,1,3,4,5,6,2]=>[2,1,8,6,5,4,3,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,8,2,6,7,3,4,5]=>[8,1,7,3,2,6,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,2,8,1,5,6]=>[5,2,6,7,1,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,4,5,2,3,8,7]=>[3,8,5,4,7,6,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,2,6,3,8,5,4]=>[2,8,7,3,6,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,4,1,2,6,3,5]=>[2,1,5,8,7,3,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,2,6,3,7,5,4]=>[1,8,7,3,6,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,2,7,6,3,5,4]=>[1,8,7,2,3,6,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,7,3,1,6,2,5]=>[5,1,2,6,8,3,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,8,3,1,6,2,5]=>[5,2,1,6,8,3,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,2,4,8,1,5]=>[6,2,3,7,5,1,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,3,5,7,4,2,1,6]=>[1,6,4,2,5,7,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,7,2,8,6,1,5]=>[5,6,2,7,1,3,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,2,8,6,3,5,4]=>[2,8,7,1,3,6,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,2,7,4,3,8,5]=>[3,8,7,2,5,6,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,2,6,3,8,7,4]=>[4,8,7,3,6,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,2,7,3,8,6,4]=>[4,8,7,2,6,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,2,7,3,5,8,4]=>[3,8,7,2,6,4,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,6,2,1,7,4,5]=>[1,6,3,7,8,2,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,6,2,1,8,4,5]=>[2,6,3,7,8,1,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,5,4,1,8,7,3]=>[3,7,4,5,8,1,2,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,3,2,1,8,7,5]=>[5,3,6,7,8,1,2,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,5,8,4,7,6,3,2]=>[8,4,1,5,2,3,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,3,7,5,2,1,4]=>[3,1,6,2,4,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,8,4,3,2,1,6]=>[4,2,1,5,6,7,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [8,2,5,4,7,6,1,3]=>[1,7,4,5,2,3,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,5,4,8,6,1,3]=>[2,7,4,5,1,3,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,3,2,8,6,1,7]=>[5,4,6,7,1,3,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,4,8,6,1,7]=>[6,7,4,5,1,3,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,8,6,5,4,1,7]=>[6,7,1,3,4,5,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,2,7,8,5,4,1,6]=>[6,7,2,1,4,5,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,7,4,3,2,1,5]=>[3,1,2,5,6,7,8,4]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [2,3,1,8,5,7,4,6]=>[7,6,8,1,4,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,3,7,2,6,4]=>[4,1,8,6,2,7,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,1,8,2,6,3]=>[5,2,4,8,1,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,1,8,7,4,5]=>[3,7,6,8,1,2,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,7,1,8,5,6,2]=>[6,5,2,8,1,4,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,7,1,3,8,4,2]=>[4,3,2,8,6,1,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,5,1,8,3,6,4]=>[2,7,4,8,1,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,4,5,8,2,7,3]=>[3,8,5,4,1,7,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,6,8,2,5,3]=>[2,8,5,3,1,7,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,5,1,7,3,6,4]=>[1,7,4,8,2,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,8,1,7,5,6,3]=>[5,7,1,8,2,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,6,4,1,7,5,2]=>[1,6,3,5,8,2,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,3,8,6,1,7,4,2]=>[4,6,1,3,8,2,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,6,4,2,8,5,3]=>[2,8,3,5,7,1,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,7,4,1,5,8,6,2]=>[6,2,5,8,4,1,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,1,4,3,7,5,2]=>[3,1,8,5,6,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,1,4,3,8,5,2]=>[3,2,8,5,6,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,1,5,3,8,6,2]=>[5,2,8,4,6,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,1,4,5,8,6,3]=>[7,2,8,5,4,1,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,8,1,2,4,7,5,3]=>[3,1,8,7,5,2,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,6,4,8,3,5,2]=>[2,8,3,5,1,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,3,4,8,5,2]=>[2,8,3,6,5,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,5,3,6,8,4,2]=>[2,8,4,6,3,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,5,6,1,2,7,4,3]=>[1,4,3,8,7,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,5,6,1,7,3,2]=>[1,5,4,3,8,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,6,3,5,4,7,1]=>[1,7,3,6,4,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,3,2,4,6,1]=>[1,4,2,6,7,5,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,1,4,5,8,7,2]=>[6,3,8,5,4,1,2,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,3,8,7,2,5]=>[5,3,8,6,1,2,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,2,1,7,4,3]=>[4,3,1,7,8,2,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,1,3,8,4,2,5,6]=>[2,8,6,1,5,7,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,3,5,7,4,1,6]=>[7,1,6,4,2,5,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,1,3,6,7,5]=>[7,1,5,8,6,3,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,4,5,8,6,1,3]=>[7,2,5,4,1,3,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,7,2,8,6,5,3]=>[8,5,2,7,1,3,4,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,4,8,5,1,3,2,7]=>[3,5,1,4,8,6,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,7,8,5,2,4,3]=>[8,3,2,1,4,7,5,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,2,4,7,5,1,8,3]=>[3,7,5,2,4,8,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,2,5,4,7,6,3]=>[1,8,7,4,5,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,2,4,5,6,7,3]=>[1,8,7,5,4,3,2,6]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [8,2,7,3,5,6,1,4]=>[1,7,2,6,4,3,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,3,4,2,8,6,5]=>[2,8,6,5,7,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,4,3,2,7,8,5]=>[3,8,5,6,7,2,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,5,2,3,8,7,4]=>[3,8,4,7,6,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,5,6,3,2,1,7,4]=>[1,4,3,6,7,8,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,8,3,6,7,2,4,5]=>[8,1,6,3,2,7,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,8,6,4,2,5,7]=>[6,8,1,3,5,7,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,2,8,3,7,4,6,5]=>[8,7,1,6,2,5,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,3,7,4,5,2,6]=>[1,8,6,2,5,4,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,7,4,3,5,6,1]=>[1,7,2,5,6,4,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,6,5,4,3,1,7]=>[1,7,3,4,5,6,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,2,7,6,4,5,3,1]=>[1,7,2,3,5,4,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,7,2,1,8,3,5]=>[5,3,2,7,8,1,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,8,1,3,6,7,2]=>[5,4,1,8,6,3,2,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,1,8,2,5,4,6]=>[6,2,8,1,7,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,8,6,1,3,7,2]=>[5,4,1,3,8,6,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,8,6,2,7,3,1]=>[5,4,1,3,7,2,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,7,1,5,3,8,2]=>[5,3,2,8,4,6,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,2,1,8,5,3]=>[5,3,2,7,8,1,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,1,3,5,6,7,8,2]=>[5,8,6,4,3,2,1,7]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,7,8,4,5,1,6,2]=>[6,2,1,5,4,8,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,8,3,2,7,1,5]=>[5,3,1,6,7,2,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,8,2,3,7,1,5]=>[5,3,1,7,6,2,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,8,3,7,1,2,6]=>[5,4,1,6,2,8,7,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,1,5,8,2,3]=>[5,3,2,8,4,1,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,8,4,6,2,5,1]=>[6,2,1,5,3,7,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,5,7,8,2,4]=>[6,3,8,4,2,1,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,8,2,5,4,7,1,6]=>[6,1,7,4,5,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,2,5,1,7,4]=>[6,1,3,7,4,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,6,2,1,7,3]=>[5,4,1,3,7,8,2,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,8,5,2,7,1,3]=>[5,3,1,4,7,2,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,8,5,2,6,1,4]=>[6,2,1,4,7,3,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,8,5,4,1,6,2]=>[6,2,1,4,5,8,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,8,5,3,1,7,2]=>[5,3,1,4,6,8,2,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,8,2,3,5,4,1,6]=>[2,1,7,6,4,5,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,1,5,7,4,6,3]=>[7,1,8,4,2,5,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,2,6,7,4,8]=>[4,8,6,7,3,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,2,4,8,3,1,5]=>[3,2,7,5,1,6,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,5,2,8,1,7]=>[3,6,5,4,7,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,6,8,3,7,1,2]=>[5,4,3,1,6,2,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,1,3,5,2,6,7,8]=>[5,8,6,4,7,3,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,8,5,7,1,2,6]=>[5,6,1,4,2,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,3,7,6,4,8,2]=>[4,8,6,2,3,5,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,5,1,7,3,2,8]=>[5,3,4,8,2,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,5,2,3,4,8,7]=>[8,3,4,7,6,5,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,5,3,4,2,8,7]=>[8,3,4,6,5,7,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,1,7,3,8,2]=>[5,3,4,8,2,6,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,4,8,5,2,3]=>[3,2,8,5,1,4,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,3,2,1,4,6,7]=>[4,1,6,7,8,5,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,1,3,7,4,8,6,2]=>[4,8,6,2,5,1,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,3,7,1,5,6,8]=>[5,7,6,2,8,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,1,6,7,2,5,4]=>[6,1,8,3,2,7,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,6,3,8,1,2]=>[5,4,2,3,6,1,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,2,8,5,1,4,6]=>[6,2,7,1,4,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,5,3,7,8,2,4]=>[8,3,4,6,2,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,5,2,4,7,1,8]=>[6,3,4,7,5,2,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,5,1,4,3,7,8]=>[7,3,4,8,5,6,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,5,8,1,7,2,4]=>[6,3,4,1,8,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,5,3,7,8,4,2]=>[8,3,4,6,2,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,5,8,4,1,7,3]=>[7,3,4,1,5,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,5,1,8,6,4,7]=>[7,6,4,8,1,3,5,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,8,4,6,1,7]=>[7,4,6,1,5,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,3,4,6,1,8]=>[4,7,2,6,5,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,5,2,8,6,3,7]=>[8,5,4,7,1,3,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,5,8,6,4,7,2]=>[8,6,4,1,3,5,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,5,8,6,7,2,4]=>[8,6,4,1,3,2,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,1,7,4,8,5,3,2]=>[3,8,2,5,1,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,7,4,1,3,6,8,2]=>[4,2,5,8,6,3,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,4,5,1,3,7,2,6]=>[1,5,4,8,6,2,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,1,4,6,5,3,2]=>[2,1,8,5,3,4,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,8,6,1,4,5,3,2]=>[2,1,3,8,5,4,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,7,6,3,4,2,8]=>[4,8,2,3,6,5,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,7,3,8,5,4,1]=>[3,7,2,6,1,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,7,3,4,8,1,5,2]=>[3,2,6,5,1,8,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,3,6,4,5,1]=>[2,7,1,6,3,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,3,5,1,8,4,6]=>[7,2,6,4,8,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,8,2,5,3,4,6]=>[8,2,1,7,4,6,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,8,7,3,4,6,5]=>[8,7,1,2,6,5,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,2,7,4,5,1,6,3]=>[1,7,2,5,4,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,2,7,4,3,5,6]=>[1,8,7,2,5,6,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,1,5,7,2,6,4]=>[6,1,8,4,2,7,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,8,6,4,5,2,3]=>[2,8,1,3,5,4,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,7,8,3,4,2,6]=>[8,4,2,1,6,5,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,6,8,1,4,5,3,7]=>[7,3,1,8,5,4,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,4,3,1,7,2,5]=>[3,1,5,6,8,2,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,1,3,7,5,6,2]=>[5,1,8,6,2,4,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,5,4,8,1,7,3]=>[3,7,4,5,1,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,5,7,4,2,3,6]=>[8,1,4,2,5,7,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,6,8,5,3,4,7]=>[7,8,3,1,4,6,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,1,3,8,6,7,2]=>[5,4,8,6,1,3,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,8,5,3,4,7]=>[8,7,3,1,4,6,5,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,8,3,7,1,2,4]=>[4,3,1,6,2,8,7,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,8,7,3,1,2,4]=>[4,3,1,2,6,8,7,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,7,5,3,8,1,2,4]=>[3,2,4,6,1,8,7,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,4,7,1,8,5]=>[3,7,6,5,2,8,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,5,7,6,3,1,2,4]=>[1,4,2,3,6,8,7,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,5,7,3,1,2,4]=>[3,1,4,2,6,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,8,6,3,1,2,4]=>[4,2,1,3,6,8,7,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,1,4,2,6,8,7,3]=>[4,8,5,7,3,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,5,6,8,4,2,3,7]=>[8,4,3,1,5,7,6,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,7,8,3,6,1,2,4]=>[4,2,1,6,3,8,7,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,1,2,5,7,6,3]=>[5,1,8,7,4,2,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,5,8,6,2,4,3,7]=>[8,4,1,3,7,5,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,3,7,2,6,8,4]=>[8,4,6,2,7,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,8,6,2,4,3,7]=>[4,8,1,3,7,5,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,6,3,7,1,2,4]=>[1,4,3,6,2,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,5,2,4,8,6,7,3]=>[8,4,7,5,1,3,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,2,6,8,7,3]=>[8,4,5,7,3,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,6,8,3,1,2,4]=>[4,2,3,1,6,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,7,5,3,1,2,4]=>[3,1,2,4,6,8,7,5]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,5,7,3,8,1,2,4]=>[3,4,2,6,1,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,7,2,1,5,3,4]=>[3,1,2,7,8,4,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,3,6,1,4,8,2,5]=>[2,6,3,8,5,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,5,1,8,4,2,3]=>[3,2,4,8,1,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,6,1,7,5,3,4]=>[1,7,3,8,2,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,4,2,6,1,7,5]=>[6,1,5,7,3,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,6,8,4,2,7,1]=>[6,4,3,1,5,7,2,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,8,6,3,4,1,7,5]=>[7,1,3,6,5,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,2,8,5,7,1]=>[5,6,3,7,1,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,8,2,1,3,7,5]=>[5,3,1,7,8,6,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,8,1,5,3,2,7,4]=>[3,1,8,4,6,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,2,3,5,8,6,4]=>[8,2,7,6,4,1,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,2,3,5,1,7,8]=>[5,3,7,6,4,8,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,3,7,5,1,6,4]=>[7,1,6,2,4,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,6,5,2,7,3]=>[5,8,1,3,4,7,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,4,8,7,2,1,5,3]=>[3,5,1,2,7,8,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,8,5,4,1,6,7,3]=>[7,1,4,5,8,3,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,5,7,3,2,1,6,8]=>[5,4,2,6,7,8,3,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,2,8,1,6,7,5,4]=>[6,7,1,8,3,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,8,2,3,7,5,6,4]=>[8,1,7,6,2,4,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,6,3,8,1,5]=>[2,7,5,3,6,1,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,1,4,7,6,5]=>[7,1,6,8,5,2,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,4,3,6,7,1,5]=>[7,1,5,6,3,2,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,7,2,8,3,5,1]=>[3,5,2,7,1,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,1,6,4,7,2,5]=>[6,1,8,3,5,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,8,5,3,7,6]=>[5,8,7,1,4,6,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,4,2,5,1,7,6]=>[6,1,5,7,4,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,2,7,5,6,1]=>[6,1,5,7,2,4,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,6,3,7,4,8,2]=>[8,4,3,6,2,5,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,6,4,3,2,7]=>[8,1,4,3,5,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,3,5,6,4,1,7]=>[7,1,6,4,3,5,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,5,7,6,8,2,3]=>[5,8,4,2,3,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,6,8,3,2,5,1,4]=>[2,3,1,6,7,4,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,1,7,5,2,3,8]=>[5,3,8,2,4,7,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,7,2,6,5,4,8]=>[6,8,2,7,3,4,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,4,7,2,1,8,3]=>[4,3,5,2,7,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,7,1,3,6,5,4]=>[7,1,2,8,6,3,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,2,8,3,1,6,4]=>[4,2,7,1,6,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,8,1,6,4,5,3]=>[7,2,1,8,3,5,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,3,4,6,5,2]=>[2,1,8,6,5,3,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,4,5,3,8,6]=>[7,2,8,5,4,6,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,7,4,3,6,8]=>[8,4,7,2,5,6,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,3,8,4,6,2,7]=>[4,8,6,1,5,3,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,8,7,1,3,2,4]=>[3,4,1,2,8,6,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,3,5,1,6,8,4]=>[7,2,6,4,8,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,6,8,2,1,4,3]=>[4,2,3,1,7,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,6,5,2,7,4,8]=>[8,6,3,4,7,2,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,6,5,3,4,7,8]=>[8,7,3,4,6,5,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,2,4,8,3,5,6]=>[8,2,7,5,1,6,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,4,5,3,7,8]=>[8,3,7,5,4,6,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,8,2,3,7,5,6]=>[8,5,1,7,6,2,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,2,8,4,5,7,6]=>[8,6,7,1,5,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,8,2,4,3,5,7]=>[8,3,1,7,5,6,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,7,2,5,3,4,8]=>[8,3,2,7,4,6,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,8,2,6,7,3,4]=>[8,4,1,7,3,2,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,3,6,7,4,5]=>[8,1,7,6,3,2,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,8,3,6,7,4,5]=>[8,7,1,6,3,2,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,8,2,6,7,5]=>[8,6,5,1,7,3,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,7,2,5,3,4,8,6]=>[8,2,7,4,6,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,2,3,5,4,7,8]=>[8,3,7,6,4,5,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,5,6,2,3,8,4]=>[2,8,4,3,7,6,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,6,1,3,4,8,5]=>[2,7,3,8,6,5,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,1,3,7,2,5,8,6]=>[5,8,6,2,7,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,7,5,1,3,8,4]=>[3,7,2,4,8,6,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,5,6,2,3,8,4]=>[8,2,4,3,7,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,6,1,2,4,8,5]=>[6,2,3,8,7,5,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,4,3,8,2,5,6]=>[8,2,5,6,1,7,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,3,4,8,2,7]=>[3,8,4,6,5,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,7,5,2,8,1,4]=>[6,3,2,4,7,1,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,8,4,1,5,6,2,3]=>[2,1,5,8,4,3,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,1,3,6,7,2,4]=>[4,1,8,6,3,2,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,3,8,4,7,1,2,5]=>[3,6,1,5,2,8,7,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,2,5,4,8,3,6,7]=>[8,7,4,5,1,6,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,8,2,4,5,6]=>[2,8,6,1,7,5,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,5,4,7,8,1,2,6]=>[6,4,5,2,1,8,7,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,7,8,5,6,2,4]=>[8,6,2,1,4,3,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,2,6,7,5,1,3,4]=>[1,7,3,2,4,8,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,7,4,6,2,3,5]=>[1,8,2,5,3,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,5,8,4,7,1,3,6]=>[7,4,1,5,2,8,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,7,1,2,3,6]=>[5,4,1,2,8,7,6,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,8,7,4,6,2,3,5]=>[8,1,2,5,3,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,5,4,1,8,3,7]=>[7,3,4,5,8,1,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,2,5,1,4,8,3,7]=>[3,7,4,8,5,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,5,4,2,8,1,7]=>[3,6,4,5,7,1,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,8,7,4,2,6,5]=>[8,6,1,2,5,7,3,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,2,5,1,4,6,7,3]=>[1,7,4,8,5,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,8,4,5,1,6,7,2]=>[6,1,5,4,8,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,4,7,6,5,3,1,2]=>[1,5,2,3,4,6,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,1,4,5,7,6,3,2]=>[1,8,5,4,2,3,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,4,1,8,5,7,6,3]=>[7,5,8,1,4,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,7,3,1,6,5,4]=>[1,7,2,6,8,3,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,4,2,3,7,6,5]=>[8,1,5,7,6,2,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,2,8,7,4,6,5]=>[6,8,7,1,2,5,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,3,7,4,1,6,5]=>[7,1,6,2,5,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,5,7,6,2,3,1]=>[1,5,4,2,3,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,1,8,7,6,4,5]=>[7,6,8,1,2,3,5,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,8,7,3,1,5,6]=>[5,7,1,2,6,8,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,3,4,8,7,2,5,6]=>[8,6,5,1,2,7,4,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [8,1,3,4,6,7,2,5]=>[1,8,6,5,3,2,7,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,8,2,6,7,1,5]=>[6,5,1,7,3,2,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,8,2,5,1,7,4]=>[6,3,1,7,4,8,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,5,7,4,6,1]=>[6,1,7,4,2,5,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,7,5,6,4,1,3]=>[1,7,2,4,3,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,5,4,1,7,2,3]=>[3,1,4,5,8,2,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,1,5,7,6,3,4]=>[7,1,8,4,2,3,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,8,2,7,5,6,4]=>[6,8,1,7,2,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,7,1,6,4,2,3]=>[1,4,2,8,3,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,4,7,3,6,5,1]=>[7,1,5,2,6,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,7,2,1,6,5,3]=>[1,5,2,7,8,3,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,4,7,6,5,2,3]=>[8,1,5,2,3,4,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,8,1,7,4,6,2]=>[6,4,1,8,2,5,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,7,1,3,6,5,2]=>[1,5,2,8,6,3,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,6,2,5,7,4,8]=>[6,8,3,7,4,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,1,2,8,6,4,5]=>[6,2,8,7,1,3,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,1,2,5,6,4,7]=>[6,1,8,7,4,3,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,2,5,6,4,8]=>[6,2,8,7,4,3,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,2,6,3,8,5,7,1]=>[5,7,3,6,1,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,3,1,6,5,8,4]=>[7,2,6,8,3,4,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,4,6,5,8,3]=>[2,8,7,5,3,4,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,6,7,1,8,3]=>[5,4,7,3,2,8,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,2,6,8,4,3]=>[4,2,8,7,3,1,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,8,2,6,4,1,7,3]=>[4,1,7,3,5,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,8,3,5,6,7,1]=>[5,7,1,6,4,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,4,3,8,6,1,5]=>[7,2,5,6,1,3,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,6,3,1,5,4,8]=>[7,2,3,6,8,4,5,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,4,1,6,3,5,8]=>[7,2,5,8,3,6,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,4,2,8,1,6,5]=>[6,2,5,7,1,8,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,5,4,2,7,1,6]=>[1,6,4,5,7,2,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,6,4,7,3,1,5]=>[7,1,3,5,2,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,4,6,8,1,7,3]=>[4,7,5,3,1,8,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,4,6,1,7,5]=>[7,6,1,5,3,8,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,8,6,5,2,7,4]=>[6,8,1,3,4,7,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,8,2,4,1,5,7,6]=>[6,1,7,5,8,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,3,2,4,1,7,6]=>[4,1,6,7,5,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,8,4,2,1,7]=>[4,3,6,1,5,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,2,1,4,5,7,8]=>[6,3,7,8,5,4,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,2,4,6,1,3,8,7]=>[4,7,5,3,8,6,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,4,6,8,1,5]=>[2,7,6,5,3,1,8,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,3,4,6,7,5,1,2]=>[1,6,5,3,2,4,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,4,7,5,2,1]=>[3,1,6,5,2,4,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,8,6,1,3,4,7,2]=>[4,1,3,8,6,5,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,1,5,7,6,3,2]=>[5,1,8,4,2,3,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,7,4,6,8,2,5,1]=>[6,2,5,3,1,7,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,6,8,3,2,5]=>[5,2,8,3,1,6,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,2,8,6,1,4]=>[6,2,4,7,1,3,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,5,2,6,7,1,3]=>[5,1,4,7,3,2,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,8,6,1,2,7,3]=>[4,5,1,3,8,7,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,6,5,2,7,3,1]=>[1,5,3,4,7,2,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,7,6,4,8,1,3]=>[4,7,2,3,5,1,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,5,7,4,1,3,6]=>[1,7,4,2,5,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,3,5,6,2,8,4]=>[2,8,6,4,3,7,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,5,8,4,6,3,2]=>[2,8,4,1,5,3,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,8,4,7,1,5,2]=>[3,6,1,5,2,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,4,3,2,8,5,6]=>[2,8,5,6,7,1,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,6,1,4,2,8,7]=>[4,6,3,8,5,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,7,2,1,4,3,8,6]=>[4,2,7,8,5,6,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,8,3,5,2,4,6]=>[2,8,1,6,4,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,4,8,1,5,6,3]=>[2,7,5,1,8,4,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,4,2,5,6,3]=>[2,8,1,5,7,4,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,1,7,5,8,3,6,4]=>[7,8,2,4,1,6,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,8,5,6,2,1,4]=>[2,6,1,4,3,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,4,8,1,5,6,3]=>[7,2,5,1,8,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,5,8,3,7,4,2]=>[3,8,4,1,6,2,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,3,5,8,7,4,1]=>[7,3,6,4,1,2,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,8,5,3,7,2,1,6]=>[5,1,4,6,2,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,8,6,5,3,2,1]=>[2,5,1,3,4,6,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [7,8,4,1,3,5,6,2]=>[2,1,5,8,6,4,3,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,3,4,1,5,6,2]=>[2,1,6,5,8,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,8,1,5,6,4]=>[2,7,6,1,8,4,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,8,7,3,2,1,5]=>[3,5,1,2,6,7,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,7,4,8,6,3,1,5]=>[7,2,5,1,3,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,8,2,3,1,7,5]=>[3,5,1,7,6,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,6,2,3,8,7,4]=>[4,8,3,7,6,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,6,3,8,2,4,7]=>[4,8,3,6,1,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,5,1,4,8,7,2]=>[6,3,4,8,5,1,2,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,1,5,8,3,4,2]=>[3,2,8,4,1,6,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,6,2,8,1,4,5]=>[2,6,3,7,1,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,6,7,3,8,4,5,2]=>[8,3,2,6,1,5,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,8,6,1,7,5,2]=>[6,5,1,3,8,2,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,8,5,7,1,6,2]=>[6,5,1,4,2,8,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,8,7,1,2,6]=>[5,6,4,1,2,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,6,8,1,4,2,7]=>[6,4,3,1,8,5,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,1,5,8,7,2,3,4]=>[3,8,4,1,2,7,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,2,8,4,3,7]=>[4,8,3,7,1,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,6,1,8,4,2,5]=>[2,6,3,8,1,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,5,8,6,3,7,2]=>[8,5,4,1,3,6,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,8,1,7,6,5,2]=>[6,5,1,8,2,3,4,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,8,5,1,7,6,2]=>[6,5,1,4,8,2,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,4,8,2,7,1,6]=>[6,4,5,1,7,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,8,2,6,1,7]=>[5,6,4,1,7,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,7,2,3,1,5,8]=>[3,5,2,7,6,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,7,1,5,3,4,8]=>[3,7,2,8,4,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,1,5,4,2,7,3]=>[3,1,8,4,5,7,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,6,3,1,4,2,5]=>[2,1,3,6,8,5,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,6,3,5,1,2,4]=>[2,1,3,6,4,8,7,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,7,5,4,1,3,8]=>[3,7,2,4,5,8,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,2,8,5,4,6,3,1]=>[2,7,1,4,5,3,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,8,4,7,2,3,5]=>[3,8,1,5,2,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,7,5,4,3,8,2]=>[3,8,2,4,5,6,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,6,4,3,7,1,8,2]=>[4,3,5,6,2,8,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,3,8,1,7,2]=>[4,3,5,6,1,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,8,4,3,1,2]=>[4,2,3,1,5,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,8,7,5,3,4,1]=>[3,7,1,2,4,6,5,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,6,2,8,7,3,1,4]=>[4,3,7,1,2,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,8,3,2,5,7,4]=>[3,8,1,6,7,4,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,7,8,3,2,4,5]=>[3,8,2,1,6,7,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,2,6,8,3,7,5]=>[5,8,7,3,1,6,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,6,2,7,4,8]=>[4,8,6,3,7,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,2,5,8,3,4]=>[2,8,3,7,4,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,7,4,8,2,5,3]=>[3,8,2,5,1,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,3,6,5,8,4,2]=>[2,8,6,3,4,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,7,4,6,8,2,3]=>[4,8,2,5,3,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,4,3,6,8,2,1]=>[4,2,5,6,3,1,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,4,3,6,7,2,8]=>[4,8,5,6,3,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,2,7,8,3,5,1]=>[5,3,7,2,1,6,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,4,6,7,8,3]=>[4,8,7,5,3,2,1,6]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,6,3,5,2,8,7,1]=>[5,3,6,4,7,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,3,4,8,2,7,1]=>[4,3,6,5,1,7,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,4,1,7,8,2]=>[4,6,3,5,8,2,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,6,4,1,7,8,3]=>[4,7,3,5,8,2,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,4,6,3,2,7,1]=>[4,1,5,3,6,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,2,4,8,3,7,1]=>[4,3,7,5,1,6,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,5,2,4,8,1,6]=>[6,2,4,7,5,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,5,2,3,8,6,1]=>[5,2,4,7,6,1,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,7,3,2,5,8,1]=>[3,5,2,6,7,4,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,7,2,8,4,6,1]=>[4,6,2,7,1,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,2,5,8,6,1]=>[5,6,2,7,4,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,3,2,5,8,6,1]=>[5,2,6,7,4,1,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,3,5,1,7,6,2]=>[5,1,6,4,8,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,3,2,6,8,5,1]=>[5,2,6,7,3,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,5,6,2,8,3,4,1]=>[2,4,3,7,1,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,6,2,3,8,5,1]=>[5,2,3,7,6,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,8,5,4,7,2,1]=>[3,6,1,4,5,2,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,2,5,1,3,6,4]=>[2,1,7,4,8,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,6,3,8,7,5,1]=>[7,5,3,6,1,2,4,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,6,1,8,7,3,5]=>[7,5,3,8,1,2,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,6,8,7,1,5]=>[7,5,6,3,1,2,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,3,8,7,1,5]=>[7,5,3,6,1,2,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,5,8,7,1,3]=>[7,5,3,4,1,2,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,8,5,7,3,1]=>[7,5,3,1,4,2,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,4,6,8,5,7,1,3]=>[7,5,3,1,4,2,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,8,3,7,1,5]=>[7,5,3,1,6,2,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,8,1,7,3,5]=>[7,5,3,1,8,2,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,5,1,8,7,3]=>[7,5,3,4,8,1,2,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,6,5,8,3,7,1]=>[7,5,3,4,1,6,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,5,8,1,7,3]=>[7,5,3,4,1,8,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,8,5,1,7,3]=>[7,5,3,1,4,8,2,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,6,8,7,3,5,1]=>[7,5,3,1,2,6,4,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,6,8,7,1,5,3]=>[7,5,3,1,2,8,4,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,6,8,7,1,3,5]=>[7,5,3,1,2,8,6,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,6,8,5,1,3,7]=>[7,5,3,1,4,8,6,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,6,5,1,8,3,7]=>[7,5,3,4,8,1,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,6,5,1,3,8,7]=>[7,5,3,4,8,6,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,6,5,3,8,1,7]=>[7,5,3,4,6,1,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,6,5,8,3,1,7]=>[7,5,3,4,1,6,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,8,5,3,1,7]=>[7,5,3,1,4,6,8,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,6,8,7,3,1,5]=>[7,5,3,1,2,6,8,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,4,6,8,7,5,1,3]=>[7,5,3,1,2,4,8,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,8,7,5,2,1,3,6]=>[5,1,2,4,7,8,6,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,8,6,5,3,2,7,4]=>[8,1,3,4,6,7,2,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,6,3,5,8,2,4,7]=>[8,3,6,4,1,7,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,1,7,8,5,3,2]=>[5,3,8,2,1,4,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,2,7,8,4,5,3]=>[3,8,7,2,1,5,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,2,7,8,5,4]=>[3,8,6,7,2,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,3,1,7,4,8,2]=>[4,3,6,8,2,5,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,7,1,6,5,2]=>[5,1,6,2,8,3,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,3,2,1,7,6,4]=>[4,1,6,7,8,2,3,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,3,8,2,7,6,5,1]=>[5,6,1,7,2,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,8,2,7,6,5,3,1]=>[5,1,7,2,3,4,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,8,2,6,5,4,1,3]=>[2,1,7,3,4,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,7,6,2,5,1,4]=>[6,1,2,3,7,4,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,3,7,2,1,6,5]=>[5,1,6,2,7,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,3,7,6,2,5,1]=>[5,1,6,2,3,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,2,7,6,4,1,3]=>[4,1,7,2,3,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,4,2,5,3,7,8]=>[8,3,5,7,4,6,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,6,2,7,3,4,5]=>[8,1,3,7,2,6,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,6,4,3,7,8]=>[8,4,7,3,5,6,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,2,4,6,3,7,8]=>[8,4,7,5,3,6,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,8,6,2,3,7,4,5]=>[8,1,3,7,6,2,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,8,6,3,4,7]=>[8,4,7,1,3,6,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,6,8,2,7,4,5]=>[8,6,3,1,7,2,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,4,3,8,2,5,6,7]=>[8,5,6,1,7,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,2,3,8,5,4,6]=>[8,2,7,6,1,4,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,8,4,2,5,6,7]=>[8,6,1,5,7,4,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,6,2,8,5,4,3,7]=>[8,3,7,1,4,5,6,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,5,3,8,2,7,4,6]=>[8,4,6,1,7,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,6,5,2,8,3,7]=>[8,5,3,4,7,1,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,6,4,2,8,3,7]=>[8,4,3,5,7,1,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,8,2,5,6,3,7]=>[8,5,1,7,4,3,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,7,3,2,8,4,6]=>[8,4,2,6,7,1,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,8,3,2,5,6,7]=>[8,5,1,6,7,4,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,2,5,8,3,4,6]=>[8,2,7,4,1,6,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,5,8,1,7,4]=>[3,7,6,4,1,8,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,5,7,3,1,8]=>[7,3,5,4,2,6,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,6,3,4,7,1,8]=>[7,4,3,6,5,2,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,7,5,6,8,4,2]=>[8,6,2,4,3,1,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,6,7,4,5,8,2]=>[8,6,3,2,5,4,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,5,6,3,4,2,7,8]=>[8,4,3,6,5,7,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,6,3,4,7,2,8]=>[8,4,3,6,5,2,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,6,4,2,7,8]=>[8,4,6,3,5,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,5,6,8,3,4,2]=>[8,2,4,3,1,6,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,6,3,8,4,2]=>[8,2,4,3,6,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,7,5,2,8,6,4]=>[8,6,2,4,7,1,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,7,2,5,8,6,4]=>[8,6,2,7,4,1,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,3,7,4,6,2,8]=>[8,4,6,2,5,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,3,7,6,4,2,8]=>[8,4,6,2,3,5,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,5,7,6,3,4,8,2]=>[8,4,2,3,6,5,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,7,3,6,4,8,2]=>[8,4,2,6,3,5,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,8,3,1,7,2,5]=>[5,3,1,6,8,2,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,3,1,8,5,2,4]=>[3,2,6,8,1,4,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,6,1,8,2,5]=>[5,2,6,3,8,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,7,2,1,8,5]=>[3,6,5,2,7,8,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,6,8,7,2,1,4]=>[4,6,3,1,2,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,3,5,8,2,1,7]=>[5,3,6,4,1,7,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,5,8,4,1,7]=>[6,3,7,4,1,5,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,4,8,6,3,1,5]=>[2,7,5,1,3,6,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,3,6,4,1,8,7,5]=>[7,6,3,5,8,1,2,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,4,8,3,1,7,5]=>[3,7,5,1,6,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,6,4,3,1,8,7]=>[4,7,3,5,6,8,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,4,6,2,1,7,5]=>[1,6,5,3,7,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,2,1,8,6,3]=>[2,5,4,7,8,1,3,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,5,6,3,1,8,7,4]=>[7,4,3,6,8,1,2,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,5,2,1,8,6,3]=>[5,2,4,7,8,1,3,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,6,4,3,8,2,1,7]=>[4,3,5,6,1,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,7,3,1,2,8,6]=>[5,4,2,6,8,7,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,6,3,2,1,8]=>[4,2,5,3,6,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,1,2,4,8,7,5]=>[6,3,8,7,5,1,2,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,5,3,8,4,1,7,6]=>[7,4,6,1,5,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,2,8,3,1,7,6]=>[5,4,7,1,6,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,3,2,8,5,1,7]=>[5,3,6,7,1,4,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,2,3,1,8,5,4]=>[3,2,7,6,8,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,2,3,1,8,6,4]=>[4,2,7,6,8,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,3,4,1,8,6,5]=>[7,2,6,5,8,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,3,4,1,8,7,5]=>[7,3,6,5,8,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,3,4,1,7,6,5]=>[1,7,6,5,8,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,3,4,1,8,7,5]=>[3,7,6,5,8,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,5,2,3,6,1,8]=>[5,2,4,7,6,3,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,8,4,5,1,2,7]=>[6,3,1,5,4,8,7,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,7,6,4,1,8]=>[4,7,6,2,3,5,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,8,4,5,1,3,7]=>[3,7,1,5,4,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,8,5,1,4,3,6]=>[2,7,1,4,8,5,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,6,7,1,4,2,3,5]=>[1,3,2,8,5,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,7,1,4,3,2,5]=>[3,1,2,8,5,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,5,1,4,2,6]=>[6,2,1,4,8,5,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,7,3,1,2,5,6]=>[5,1,2,6,8,7,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,8,6,2,3,1,5,7]=>[5,1,3,7,6,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,3,8,2,1,6,7]=>[5,4,6,1,7,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,4,1,8,2,6,5]=>[6,2,5,8,1,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,1,7,6,2,5]=>[6,1,5,8,2,3,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,2,1,8,4,6,5]=>[6,2,7,8,1,5,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,1,7,6,4,5]=>[6,1,7,8,2,3,5,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,7,8,2,4,6,1]=>[6,4,2,1,7,5,3,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,3,7,8,2,6,1]=>[5,4,6,2,1,7,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,7,3,6,2,8]=>[8,4,5,2,6,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,6,8,4,5,2]=>[8,2,6,3,1,5,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,8,2,7,3,5,1]=>[5,3,1,7,2,6,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,6,3,5,1,8,2]=>[5,2,3,6,4,8,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,3,6,1,5,4,2]=>[2,1,6,3,8,4,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,7,8,4,6,1,3]=>[7,4,2,1,5,3,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,6,4,7,5,3,8]=>[8,7,3,5,2,4,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,6,3,8,4,2,1]=>[2,4,3,6,1,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,6,8,4,7,5,1,3]=>[7,3,1,5,2,4,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,2,7,3,6,4,1]=>[4,1,7,2,6,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,6,8,4,2,7,3]=>[8,4,3,1,5,7,2,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,8,5,3,2,6,1,4]=>[2,1,4,6,7,3,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,3,8,2,5,1]=>[3,2,5,6,1,7,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,7,8,6,1,5]=>[6,5,7,2,1,3,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,6,1,4,3,2,5]=>[2,1,3,8,5,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,7,8,6,1,3,5]=>[7,5,2,1,3,8,6,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,6,2,5,3,1,7,8]=>[5,3,7,4,6,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,5,6,3,2,7,8]=>[5,8,4,3,6,7,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,4,3,1,5,2,8]=>[3,2,5,6,8,4,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,5,6,4,3,2,8]=>[8,2,4,3,5,6,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,7,8,6,5,3,2]=>[5,8,2,1,3,4,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,5,7,3,8,6,1,2]=>[5,4,2,6,1,3,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,5,3,7,2,1,4]=>[3,1,4,6,2,7,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,8,5,3,1,2]=>[5,3,2,1,4,6,8,7]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,4,7,5,6,8,1,2]=>[6,5,2,4,3,1,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,5,8,2,6,3]=>[5,2,8,4,1,7,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,1,2,8,5,4]=>[6,2,3,8,7,1,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,6,2,1,8,4,5]=>[6,2,3,7,8,1,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,5,8,3,6,4,1]=>[7,2,4,1,6,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,8,1,6,5,2,7]=>[5,6,1,8,3,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,6,5,7,8,1,4]=>[7,6,3,4,2,1,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,3,4,1,2,6,7,5]=>[1,6,5,8,7,3,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,3,8,4,1,5,6,2]=>[2,6,1,5,8,4,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,2,4,5,1,8,3,6]=>[2,7,5,4,8,1,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,7,5,1,4,2,6]=>[6,1,2,4,8,5,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,3,8,7,1,5,2,6]=>[5,6,1,2,8,4,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,2,3,5,7,6,1]=>[5,1,7,6,4,2,3,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,2,3,8,6,7,1]=>[5,4,7,6,1,3,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,8,5,3,2,1]=>[3,2,5,1,4,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,3,5,6,1,7,8,2]=>[5,6,4,3,8,2,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,6,4,7,8,1]=>[6,4,7,3,5,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,7,2,4,3,8,1]=>[4,3,2,7,5,6,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,8,5,7,6,3]=>[5,8,7,1,4,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,6,7,5,8,2]=>[6,8,5,3,2,4,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,5,8,1,3,7]=>[7,3,5,4,1,8,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,6,4,8,1,7]=>[4,7,6,3,5,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,7,2,6,8,5]=>[6,5,8,2,7,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,7,5,8,1,3,6]=>[7,5,2,4,1,8,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,8,7,3,4,5,2]=>[3,8,1,2,6,5,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,7,4,1,3,5,2]=>[3,1,2,5,8,6,4,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,1,6,4,8,7,5,2]=>[6,8,3,5,1,2,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,7,1,4,5,8,6,2]=>[6,2,8,5,4,1,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,4,7,5,1,3,6,2]=>[1,5,2,4,8,6,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,2,6,4,8,1,3,5]=>[2,7,3,5,1,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,3,1,2,6,8,4]=>[4,2,6,8,7,3,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,6,2,1,5,8,4]=>[6,2,3,7,8,4,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,2,6,1,3,7,8,5]=>[5,7,3,8,6,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,8,4,6,7,1,3,5]=>[7,1,5,3,2,8,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,8,3,4,6,7,2,5]=>[8,1,6,5,3,2,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,2,3,6,1,5,7,4]=>[1,7,6,3,8,4,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,3,1,6,8,7,4]=>[7,4,6,8,3,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,1,6,4,8,7,3]=>[7,4,8,3,5,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,2,1,4,6,7,3]=>[4,1,7,8,5,3,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,4,6,1,2,5,7,3]=>[1,5,3,8,7,4,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,7,8,4,2,6,5,1]=>[6,2,1,5,7,3,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,1,8,6,7,2,4]=>[6,4,8,1,3,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,2,8,7,1,3,4]=>[4,3,7,1,2,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,4,8,5,6,1,3]=>[2,7,5,1,4,3,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,3,8,4,5,6,2]=>[2,8,6,1,5,4,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,1,4,3,5,6,2]=>[2,1,8,5,6,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,7,8,3,5,1,4]=>[7,3,2,1,6,4,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,8,2,1,5,4]=>[6,3,2,1,7,8,4,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,7,2,8,1,5,4]=>[6,3,2,7,1,8,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,1,3,5,8,4]=>[7,3,2,8,6,4,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,7,1,2,8,5,4]=>[6,3,2,8,7,1,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,7,1,8,2,5,4]=>[6,3,2,8,1,7,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,8,7,2,6,5]=>[6,5,8,1,2,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,1,7,3,6,8,4]=>[7,4,8,2,6,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,7,2,8,6,4]=>[6,8,4,2,7,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,5,7,8,2,6,4]=>[6,8,4,2,1,7,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,1,4,7,2,6,5]=>[6,1,8,5,2,7,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,1,3,2,7,6,5]=>[5,1,8,6,7,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,8,3,2,7,6,5]=>[5,8,1,6,7,2,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,3,8,2,7,6,5]=>[5,8,6,1,7,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,2,3,7,6,5,8]=>[8,5,7,6,2,3,4,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,3,8,1,2,7,6,5]=>[5,6,1,8,7,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,3,8,2,1,7,6,5]=>[5,6,1,7,8,2,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,4,2,8,7,1,6,5]=>[6,5,7,1,2,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,4,2,7,1,6,5]=>[6,1,5,7,2,8,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,4,3,7,6,1,5]=>[7,1,5,6,2,3,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,8,7,6,1,5]=>[7,5,6,1,2,3,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,5,7,6,1,8,3]=>[7,5,4,2,3,8,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,5,7,6,8,1,3]=>[7,5,4,2,3,1,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,5,7,8,6,1,4]=>[7,6,4,2,1,3,8,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,8,4,7,6,1,5]=>[7,6,1,5,2,3,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,2,4,7,1,6,5]=>[6,1,7,5,2,8,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,8,7,1,6,5]=>[6,7,5,1,2,8,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,5,7,1,8,6,4]=>[6,7,4,2,8,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,5,7,1,6,8,4]=>[7,6,4,2,8,3,1,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,2,3,8,1,7,6,5]=>[5,7,6,1,8,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,2,3,1,7,6,5]=>[5,1,7,6,8,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,2,1,3,7,6,5]=>[5,1,7,8,6,2,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,8,1,3,7,6,5]=>[5,7,1,8,6,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,2,4,7,8,6,5]=>[6,8,7,5,2,1,3,4]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,5,4,7,2,8,1,6]=>[6,4,5,2,7,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,4,7,8,2,1,5]=>[6,3,5,2,1,7,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,4,6,8,7,1,5]=>[7,6,5,3,1,2,8,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [5,3,4,6,1,7,8,2]=>[4,6,5,3,8,2,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,7,8,6,1,3,4]=>[7,4,2,1,3,8,6,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,4,7,6,8,1,3,5]=>[7,5,2,3,1,8,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,5,1,7,2,8,3]=>[5,3,4,8,2,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,7,1,2,8,3]=>[4,3,5,2,8,7,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,7,5,8,2,3,1]=>[5,3,2,4,1,7,6,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,7,6,8,4,2]=>[6,4,8,2,3,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,7,1,6,8,3,2]=>[5,4,2,8,3,1,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,7,6,8,1,4,5]=>[6,7,2,3,1,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,3,5,7,8,4,2]=>[3,8,6,4,2,1,5,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,1,7,6,8,2,3]=>[5,4,8,2,3,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,8,3,1,6,5,4]=>[2,7,1,6,8,3,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,7,2,8,3,1,4,5]=>[3,2,7,1,6,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,7,6,2,8,4,5]=>[6,8,2,3,7,1,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,7,8,4,1,3,5]=>[3,7,2,1,5,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,6,8,3,4,1,5]=>[2,7,3,1,6,5,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,1,6,8,3,5]=>[2,7,5,8,3,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,6,7,2,4,1,5]=>[1,6,3,2,7,5,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,3,6,7,2,5]=>[5,8,1,6,3,2,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,7,8,4,1,2,5]=>[3,6,2,1,5,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,5,2,4,1,3,6]=>[2,1,4,7,5,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,7,8,4,1,5]=>[3,7,6,2,1,5,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,5,2,3,1,7,6]=>[5,1,4,7,6,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,1,3,7,8,6]=>[5,7,4,8,6,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,3,5,1,2,7,8,6]=>[5,6,4,8,7,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,1,4,2,7,8,6]=>[6,4,8,5,7,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,1,7,8,5,2,6]=>[6,5,8,2,1,4,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,3,7,8,5,2,6]=>[5,8,6,2,1,4,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,4,7,5,3,6,2,1]=>[1,5,2,4,6,3,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,3,8,4,7,5,2,1]=>[3,6,1,5,2,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,1,8,5,4,2,7,6]=>[6,8,1,4,5,7,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,5,6,1,7,2,4]=>[1,6,4,3,8,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [8,3,7,4,6,2,1,5]=>[1,6,2,5,3,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,3,5,7,2,1,6]=>[5,1,6,4,2,7,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,4,8,7,3,5,6]=>[8,7,5,1,2,6,4,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,2,4,1,3,8,5,6]=>[2,7,5,8,6,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,2,5,4,1,6,7]=>[6,1,7,4,5,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,5,2,6,1,7,3]=>[1,5,4,7,3,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,6,2,7,8,1,3]=>[5,4,3,7,2,1,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,7,3,8,1,4,5]=>[7,3,2,6,1,8,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,6,3,1,7,4,5]=>[7,1,3,6,8,2,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,5,1,2,6,8,3]=>[5,2,4,8,7,3,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,4,2,8,7,3]=>[4,3,8,5,7,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,8,1,3,2,7,6]=>[5,4,1,8,6,7,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,2,6,3,5,8]=>[5,2,8,7,3,6,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,8,2,3,7,5,1]=>[5,3,1,7,6,2,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,7,2,3,6,1,8]=>[5,4,2,7,6,3,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,7,3,4,6,8,1]=>[7,4,2,6,5,3,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,2,3,1,4,7,5]=>[3,1,7,6,8,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,3,4,1,5,6,8]=>[7,2,6,5,8,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,2,3,4,8,1,5]=>[3,2,7,6,5,1,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,4,6,7,8,1]=>[6,4,7,5,3,2,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,2,6,3,5,7,8,1]=>[5,7,3,6,4,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,2,3,7,4,6,8,1]=>[4,7,6,2,5,3,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,4,8,5,7,1]=>[3,7,6,5,1,4,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,8,4,2,6,3]=>[8,2,4,1,5,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,8,5,6,2,7,3]=>[8,5,1,4,3,7,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,5,6,1,7,3]=>[7,5,1,4,3,8,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,8,4,7,1,2]=>[3,6,4,1,5,2,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,7,4,5,1,6,3]=>[7,1,2,5,4,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,5,2,6,7,4]=>[8,6,1,4,7,3,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,2,8,4,5,1,6,3]=>[2,7,1,5,4,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,5,8,4,1,7,3]=>[3,7,4,1,5,8,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,5,2,6,7,4]=>[6,8,1,4,7,3,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,2,8,5,3,6,7,4]=>[8,7,1,4,6,3,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,1,3,5,2,6,8,4]=>[2,8,6,4,7,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,8,2,1,6,7,3]=>[4,5,1,7,8,3,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,3,2,1,5,7,4]=>[3,1,6,7,8,4,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,2,4,1,5,6,3]=>[2,1,7,5,8,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,5,1,7,8,4]=>[3,7,6,4,8,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,3,5,2,6,8,4]=>[8,2,6,4,7,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,5,1,3,6,8,4]=>[7,2,4,8,6,3,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,5,2,3,6,8,4]=>[8,2,4,7,6,3,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,1,5,3,6,7,4]=>[7,1,8,4,6,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,1,5,2,6,7,4]=>[6,1,8,4,7,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,1,5,6,2,7,3]=>[5,1,8,4,3,7,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,1,5,2,6,3]=>[2,1,5,8,4,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,5,2,3,6,8,4]=>[2,8,4,7,6,3,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,2,5,3,6,7,4]=>[1,8,7,4,6,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,8,1,7,2,4]=>[3,6,4,1,8,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,3,8,2,1,4]=>[3,2,4,6,1,7,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,7,4,2,8,1,3]=>[3,4,2,5,7,1,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,6,8,3,7,1,4]=>[4,7,3,1,6,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,8,6,7,1,3]=>[5,7,4,1,3,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,6,3,4,1,7,2]=>[4,1,3,6,5,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,1,5,8,7,2]=>[3,6,5,8,4,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,4,6,1,7,2,3,8]=>[4,5,3,8,2,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,2,4,1,8,6,5]=>[6,2,7,5,8,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,2,4,1,5,8,6]=>[6,2,7,5,8,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,7,5,3,4,6,1]=>[1,7,2,4,6,5,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,3,4,1,2,6,5]=>[2,1,6,5,8,7,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,6,5,3,8,4,1]=>[7,2,3,4,6,1,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,7,6,8,1,3,4,2]=>[4,2,3,1,8,6,5,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,5,3,7,4,2,8]=>[3,8,4,6,2,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,7,6,8,4,2,1]=>[4,6,2,3,1,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,6,7,1,2,5,4,8]=>[6,3,2,8,7,4,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,5,7,4,2,3,1,6]=>[1,4,2,5,7,6,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,8,3,5,7,1,6]=>[7,5,1,6,4,2,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,7,2,4,3,5,6]=>[1,8,2,7,5,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,3,8,2,4,7,5,6]=>[8,6,1,7,5,2,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,3,2,4,6,5,8]=>[8,2,6,7,5,3,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,3,7,4,2,5,6]=>[8,1,6,2,5,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,8,7,4,1,5,6]=>[6,7,1,2,5,8,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,2,6,5,1,7,8,4]=>[6,7,3,4,8,2,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,8,6,7,4,1,5]=>[6,7,1,3,2,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,6,2,7,3,1,5]=>[1,5,3,7,2,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,8,6,7,2,1,5]=>[5,6,1,3,2,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,6,2,8,7,1,5]=>[5,6,3,7,1,2,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,4,7,6,5,1,2]=>[6,1,5,2,3,4,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,4,2,6,3,5,1]=>[2,1,5,7,3,6,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,7,5,6,8,4,1]=>[6,7,2,4,3,1,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,8,6,3,2,4,1]=>[4,2,1,3,6,7,5,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,1,6,5,2,7,8,3]=>[5,8,3,4,7,2,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,5,3,1,7,2,4]=>[3,1,4,6,8,2,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,2,6,3,8,7,1,4]=>[4,7,3,6,1,2,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,8,3,6,7,4,2,5]=>[8,1,6,3,2,5,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,5,2,7,8,4]=>[8,3,6,4,7,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,7,3,2,6,4,8]=>[8,4,2,6,7,3,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,1,3,7,2,6,4,8]=>[4,8,6,2,7,3,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,6,7,2,4,3,5]=>[1,8,3,2,7,5,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,4,8,2,7,3,5]=>[3,8,5,1,7,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,8,3,7,1,5]=>[3,7,5,1,6,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,7,6,5,2,3,4]=>[1,8,2,3,4,7,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,1,5,6,8,2,4,3]=>[2,8,4,3,1,7,5,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,5,2,4,8,3]=>[3,2,8,4,7,5,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,6,3,5,4,2,8]=>[2,8,3,6,4,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,7,3,5,4,8,2]=>[8,3,2,6,4,5,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,5,6,8,4,2]=>[8,2,6,4,3,1,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,7,8,3,6,4,5,2]=>[8,2,1,6,3,5,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,7,6,4,5,2,3]=>[8,1,2,3,5,4,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,2,7,4,6,5,1,3]=>[1,7,2,5,3,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,5,7,6,4,1,3]=>[7,1,4,2,3,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,5,1,6,8,3,2]=>[2,5,4,8,3,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,7,5,6,8,3,2]=>[5,8,2,4,3,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,7,4,3,1,8,2]=>[4,3,2,5,6,8,1,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,7,8,5,3,1,4,2]=>[3,2,1,4,6,8,5,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,4,6,2,5,3,7,8]=>[8,5,3,7,4,6,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,3,2,5,4,7,8]=>[8,3,6,7,4,5,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,8,2,5,4,7,3]=>[8,3,1,7,4,5,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,2,6,3,7,8]=>[8,4,5,7,3,6,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,6,4,3,5,7,8]=>[8,7,3,5,6,4,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,6,8,2,7,5,4,3]=>[8,3,1,7,2,4,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,4,3,2,6,8,5]=>[8,2,5,6,7,3,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,5,4,7,2,6,8,3]=>[8,4,5,2,7,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,7,6,2,8,5,4]=>[8,6,2,3,7,1,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,6,2,8,4,3,5]=>[8,2,3,7,1,5,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,5,6,3,4,7]=>[8,7,1,4,3,6,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,3,5,2,8,6,4]=>[8,2,6,4,7,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,7,2,5,8,4,3]=>[8,3,2,7,4,1,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,8,3,2,7,4,6]=>[8,4,1,6,7,2,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,5,8,2,6,3,7]=>[8,5,4,1,7,3,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,7,6,4,8,2,5,3]=>[8,2,3,5,1,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,8,6,5,2,7,3]=>[8,5,1,3,4,7,2,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,3,8,2,6,5,4,7]=>[8,6,1,7,3,4,5,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,7,6,4,8,3]=>[8,4,7,2,3,5,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,4,3,8,7,5,6]=>[8,7,5,6,1,2,4,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,8,7,2,5,6]=>[8,5,6,1,2,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,2,4,8,6,5,3]=>[8,2,7,5,1,3,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,2,8,6,5,4,3,7]=>[8,7,1,3,4,5,6,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,8,3,1,2,6,4,7]=>[4,1,6,8,7,3,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,1,7,5,2,6,3]=>[5,1,8,2,4,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,5,4,2,6,3,7]=>[1,8,4,5,7,3,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,7,1,5,2,6,3]=>[5,1,2,8,4,7,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,1,5,2,3,6]=>[5,1,2,8,4,7,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,8,4,1,3,2,5]=>[2,3,1,5,8,6,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,6,8,4,1,3,5,2]=>[2,3,1,5,8,6,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,2,7,5,1,3,6]=>[5,1,7,2,4,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,6,8,4,1,5,2,3]=>[2,3,1,5,8,4,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,4,8,3,6,5,2]=>[2,8,5,1,6,3,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,8,2,5,4,6,1]=>[2,6,1,7,4,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,1,5,3,7,6,2]=>[5,1,8,4,6,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,8,2,6,3,5,1]=>[2,5,1,7,3,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,8,2,6,3,1,5]=>[2,5,1,7,3,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,7,3,5,6,2,4]=>[1,8,2,6,4,3,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,7,5,4,6,2,3]=>[1,8,2,4,5,3,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,6,4,3,2,7,5]=>[8,1,3,5,6,7,2,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,8,7,6,4,2,5,3]=>[8,1,2,3,5,7,4,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,4,6,7,5,3,2,1]=>[1,5,3,2,4,6,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,4,8,6,7,5,3,2]=>[8,5,1,3,2,4,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,3,8,5,6,4,2,1]=>[2,6,1,4,3,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,7,3,6,8,5,4,2]=>[8,2,6,3,1,4,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,3,6,8,5,4,2]=>[2,8,6,3,1,4,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,3,6,7,5,4,2]=>[8,1,6,3,2,4,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,2,7,5,6,4,3]=>[8,1,7,2,4,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,7,6,4,5,3,2]=>[1,8,2,3,5,4,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,8,6,4,5,3,2]=>[2,8,1,3,5,4,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,6,2,5,4,3,7,8]=>[8,3,7,4,5,6,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,2,6,4,3,5,7]=>[8,1,7,3,5,6,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,2,5,4,6,3,8]=>[8,2,7,4,5,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,8,3,4,7,5,6]=>[8,7,1,6,5,2,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,2,3,7,6,4,5]=>[1,8,7,6,2,3,5,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,5,7,2,3,1,8,4]=>[3,4,2,7,6,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,2,8,3,4,1]=>[3,4,2,7,1,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,2,8,1,4,3]=>[3,4,2,7,1,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,5,8,1,4,3]=>[3,7,2,4,1,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,2,5,8,1,4,3]=>[3,2,7,4,1,8,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,5,8,1,4,2]=>[3,2,6,4,1,8,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,6,8,2,4,1,5]=>[2,6,3,1,7,5,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,5,8,2,4,1]=>[3,2,6,4,1,7,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,7,2,4,1,8,5]=>[3,6,2,7,5,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,7,5,8,1,4,2]=>[3,6,2,4,1,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,7,4,8,2,5,1]=>[3,6,2,5,1,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,7,4,8,1,5,2]=>[3,6,2,5,1,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,4,8,3,5,1]=>[3,7,2,5,1,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,4,8,1,5,3]=>[3,7,2,5,1,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,4,5,7,3,2,1]=>[3,1,5,4,2,6,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,8,7,1,6,3,5,2]=>[5,1,2,8,3,6,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,2,1,7,8,3]=>[4,3,5,7,8,2,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,5,1,4,3,8,2]=>[3,2,4,8,5,6,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,5,1,4,3,7,2]=>[3,1,4,8,5,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,2,1,8,7,3]=>[4,3,5,7,8,1,2,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,8,5,1,4,3,6,2]=>[2,1,4,8,5,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,6,8,3,5,1,4]=>[7,2,3,1,6,4,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,8,4,3,5,2]=>[3,8,2,1,5,6,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,8,6,4,5,3,1]=>[7,2,1,3,5,4,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,8,5,6,2,3,1,7]=>[5,1,4,3,7,6,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,8,1,3,5,4,7]=>[7,3,1,8,6,4,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,3,1,8,7,4,6]=>[4,7,6,8,1,2,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,7,1,6,8,5,4]=>[6,7,2,8,3,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,8,2,7,6,1,3,4]=>[4,1,7,2,3,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,6,7,1,3,5,2,4]=>[1,3,2,8,6,4,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,4,8,1,7,6,5]=>[6,7,5,1,8,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,7,1,4,8,3,5]=>[3,7,2,8,5,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,6,8,7,2,1,5]=>[5,6,3,1,2,7,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,3,1,7,5,6,8]=>[5,7,6,8,2,4,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,8,1,4,7,3,5]=>[3,7,1,8,5,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,3,1,4,7,5,6]=>[1,7,6,8,5,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,3,1,5,8,6,7]=>[5,7,6,8,4,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,8,7,5,3,1,6]=>[7,5,1,2,4,6,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,6,8,7,5,3,4,1]=>[7,3,1,2,4,6,5,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,5,1,4,3,8,7]=>[7,3,4,8,5,6,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,3,1,2,8,7]=>[5,3,4,6,8,7,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,8,7,5,3,1,2,6]=>[5,1,2,4,6,8,7,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [4,6,8,7,5,3,1,2]=>[5,3,1,2,4,6,8,7]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,8,7,5,3,1,4,2]=>[3,1,2,4,6,8,5,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,1,4,8,7,3,6,5]=>[7,8,5,1,2,6,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,7,3,1,2,6,5]=>[5,1,2,6,8,7,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,8,7,3,4,6,5,1]=>[7,1,2,6,5,3,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,7,3,6,5,1,4]=>[7,1,2,6,3,4,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,7,1,6,5,3,4]=>[7,1,2,8,3,4,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,8,7,3,4,6,5]=>[7,8,1,2,6,5,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,7,1,4,3,6,5]=>[7,1,2,8,5,6,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,7,5,6,3,4,1]=>[7,1,2,4,3,6,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,7,3,1,6,5]=>[7,5,1,2,6,8,3,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,8,7,3,1,4,6,5]=>[7,1,2,6,8,5,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,4,3,1,8,7,5,6]=>[7,5,6,8,1,2,4,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,7,5,6,3,1,4]=>[7,1,2,4,3,6,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,7,5,3,1,6,4]=>[7,1,2,4,6,8,3,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,8,7,5,3,6,4,1]=>[7,1,2,4,6,3,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,8,7,5,1,2,4,3]=>[3,1,2,4,8,7,5,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,4,8,7,3,6,5,1]=>[7,5,1,2,6,3,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,1,2,3,5,4,6,8]=>[2,8,7,6,4,5,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,6,4,5,3,8]=>[2,8,7,3,5,4,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,2,4,3,5,6,8]=>[2,8,7,5,6,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,3,6,5,1,2,8]=>[5,2,6,3,4,8,7,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,6,3,7,1,4,8]=>[4,7,3,6,2,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,5,8,6,1,4,3,7]=>[7,4,1,3,8,5,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,3,6,1,5,2,4,7]=>[1,6,3,8,4,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,6,8,5,7,2,4]=>[6,8,3,1,4,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,1,8,2,5,7,3]=>[5,3,8,1,7,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,6,1,8,4,7,3]=>[7,4,3,8,1,5,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,1,8,4,7,3]=>[7,3,4,8,1,5,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,1,8,4,6,3]=>[4,2,7,8,1,5,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,6,4,3,1,5]=>[2,7,1,3,5,6,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,2,8,5,3,1,4,6]=>[2,7,1,4,6,8,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,8,3,7,4,2,1,6]=>[4,1,6,2,5,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,7,3,5,8,6,2]=>[5,8,2,6,4,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,7,3,5,2,1,6]=>[1,5,2,6,4,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,8,1,3,2,6,7]=>[4,5,1,8,6,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,5,8,2,1,3,6,7]=>[5,4,1,7,8,6,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [8,1,3,5,2,4,6,7]=>[1,8,6,4,7,5,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,8,3,5,7,2,4,6]=>[8,1,6,4,2,7,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,4,7,3,2,6,5]=>[1,8,5,2,6,7,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,7,1,2,8,6,4]=>[4,6,2,8,7,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,4,2,7,6,3,5]=>[1,8,5,7,2,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,8,7,4,6,2,5,3]=>[8,1,2,5,3,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,7,2,6,4,3]=>[8,1,4,2,7,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,7,3,6,8,2,4]=>[8,4,2,6,3,1,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,4,6,2,5,7,1,3]=>[1,5,3,7,4,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,3,4,7,6,8,2,5]=>[8,6,5,2,3,1,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,1,3,6,7,4,2,5]=>[1,8,6,3,2,5,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,4,7,8,5,3,6]=>[8,7,5,2,1,4,6,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,1,4,7,6,8,2,5]=>[6,8,5,2,3,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,3,7,6,8,2,5]=>[5,8,6,2,3,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,3,6,8,2,4]=>[4,8,2,6,3,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,8,2,4,5,1,3]=>[3,2,1,7,5,4,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,6,2,4,7,1,3]=>[4,1,3,7,5,2,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,2,6,5,7,1,4]=>[6,1,7,3,4,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,6,7,4,1,5]=>[7,1,6,3,2,5,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,1,7,5,4,2,6]=>[6,1,8,2,4,5,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,6,1,7,3,2,4]=>[4,1,3,8,2,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,2,8,4,3,5]=>[3,2,8,7,1,5,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,1,3,8,6,5,4,7]=>[7,8,6,1,3,4,5,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,2,8,6,5,4,7]=>[8,6,7,1,3,4,5,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,1,7,6,8,2,5]=>[6,5,8,2,3,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,7,1,8,4,3,6]=>[7,4,2,8,1,5,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,7,1,6,8,2,4]=>[6,4,2,8,3,1,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,7,6,1,8,2,3]=>[5,4,2,3,8,1,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,7,6,8,3,1,2]=>[4,5,2,3,1,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,7,8,6,3,2,4]=>[8,4,2,1,3,6,7,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [8,4,6,7,5,2,1,3]=>[1,5,3,2,4,7,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,3,7,5,6,2,1,4]=>[1,6,2,4,3,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,8,6,7,3,2,5]=>[8,5,1,3,2,6,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,6,7,3,1,5]=>[7,5,1,3,2,6,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,8,7,5,4,1,6]=>[7,6,1,2,4,5,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,3,8,7,5,4,2,6]=>[8,6,1,2,4,5,7,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [8,2,7,6,4,3,1,5]=>[1,7,2,3,5,6,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,1,7,6,4,3,2,5]=>[1,8,2,3,5,6,7,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,1,8,6,7,3,2,5]=>[5,8,1,3,2,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,7,5,6,2,1,3]=>[5,1,2,4,3,7,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,1,7,4,3,2]=>[4,3,1,8,2,5,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,1,8,7,3,6,5,2]=>[5,8,1,2,6,3,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,8,4,1,7,3,2]=>[4,3,1,5,8,2,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,8,7,3,1,6,2]=>[5,4,1,2,6,8,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,1,8,4,7,6,5,2]=>[6,8,1,5,2,3,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,5,8,4,3,7,6,2]=>[8,4,1,5,6,2,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,1,7,2,5,6,4,3]=>[1,8,2,7,4,3,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,3,5,2,7,6,4]=>[1,8,6,4,7,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,1,5,4,8,6,3]=>[7,2,8,4,5,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,1,6,7,5,8,3]=>[7,5,8,3,2,4,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,4,5,6,3,7,2]=>[1,8,5,4,3,6,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,4,5,6,2,7,3]=>[1,8,5,4,3,7,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,4,7,6,2,5,3]=>[1,8,5,2,3,7,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,1,7,8,6,4,3]=>[7,4,8,2,1,3,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,6,2,8,7,4,1]=>[6,4,3,7,1,2,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,4,5,1,7,6,3,8]=>[7,5,4,8,2,3,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,4,5,3,7,6,2,1]=>[1,5,4,6,2,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,5,6,2,8,1,7]=>[6,5,4,3,7,1,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,7,4,2,8,5,1,6]=>[6,2,5,7,1,4,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,1,6,8,2,5]=>[2,6,5,8,3,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,3,1,4,7,5,8]=>[7,3,6,8,5,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,4,1,6,5,8,2]=>[2,6,5,8,3,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,4,2,5,8,6,1]=>[6,2,5,7,4,1,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,5,1,4,8,7,6]=>[7,6,4,8,5,1,2,3]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,3,6,8,5,4]=>[7,2,8,6,3,1,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,3,8,4,6,5]=>[7,2,8,6,1,5,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,1,6,2,5,4]=>[6,1,2,8,3,7,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,1,4,5,2,6]=>[6,1,2,8,5,4,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,2,1,8,6,5]=>[6,2,5,7,8,1,3,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,8,5,7,2,6,3,1]=>[5,1,4,2,7,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,5,7,3,2,6,1]=>[1,5,4,2,6,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,7,2,4,1,5,6]=>[1,6,2,7,5,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,6,7,2,1,4,3,5]=>[1,3,2,7,8,5,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,7,5,1,2,6,4]=>[1,6,2,4,8,7,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,4,6,2,1,5,8]=>[2,6,5,3,7,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,4,6,1,5,2,8]=>[6,2,5,3,8,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,7,6,1,2,8,5]=>[6,5,2,3,8,7,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,8,7,6,1,3,2]=>[5,4,1,2,3,8,6,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,3,6,7,2,5,1,4]=>[1,6,3,2,7,4,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,7,2,6,4,1,3]=>[1,4,2,7,3,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,8,2,5,6,1,4]=>[2,6,1,7,4,3,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,7,2,1,5,8,3]=>[3,5,2,7,8,4,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,4,8,2,6,1,5,3]=>[2,5,1,7,3,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,3,5,2,1,7,8]=>[5,3,6,4,7,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,7,3,1,5,2,8]=>[3,5,2,6,8,4,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,5,3,1,2,8,6]=>[2,5,4,6,8,7,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,6,3,8,4,2,5,7]=>[8,3,6,1,5,7,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,2,5,3,6,1,8]=>[5,2,7,4,6,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,6,4,2,5,3,7]=>[8,1,3,5,7,4,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,2,6,4,1,5,7,3]=>[1,7,3,5,8,4,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,3,4,6,1,5,2]=>[2,1,6,5,3,8,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,5,3,1,6,2]=>[5,1,2,4,6,8,3,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,1,4,8,3,2,5,7]=>[3,8,5,1,6,7,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,6,4,2,7,3,5]=>[1,8,3,5,7,2,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,7,4,2,5,8,6]=>[6,8,2,5,7,4,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,2,7,4,3,5,6,8]=>[8,7,2,5,6,4,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,1,8,5,2,4,3,7]=>[3,8,1,4,7,5,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,2,5,1,4,7,3]=>[3,1,7,4,8,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,2,1,6,8,7,3]=>[5,4,7,8,3,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,8,6,5,1,4,3]=>[2,7,1,3,4,8,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,4,8,6,1,5,3,2]=>[2,5,1,3,8,4,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,8,4,1,5,2,3,7]=>[3,1,5,8,4,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,8,1,6,4,5,7]=>[6,7,1,8,3,5,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,4,1,2,3,7,6]=>[4,1,5,8,7,6,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,1,2,5,3,4,6,8]=>[2,8,7,4,6,5,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,7,3,2,8,4,5]=>[8,3,2,6,7,1,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,3,7,2,8,4,6]=>[8,4,6,2,7,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,7,3,8,2,4,6]=>[8,4,2,6,1,7,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,5,2,6,4,3,7]=>[8,1,4,7,3,5,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,6,2,8,4,3,7]=>[8,4,3,7,1,5,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,7,4,8,5,2]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,8,6,3,1,7,4]=>[7,4,1,3,6,8,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,4,6,3,1,7,5,8]=>[7,5,3,6,8,2,4,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,6,1,8,7,4,5]=>[7,6,3,8,1,2,5,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,8,6,5,7,2,1]=>[6,5,1,3,4,2,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,5,8,1,7,6,2]=>[6,5,4,1,8,2,3,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,4,7,3,6,5,8]=>[8,7,5,2,6,3,4,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,5,7,4,6,8,3]=>[8,7,4,2,5,3,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,4,7,6,8,3,5]=>[8,7,5,2,3,1,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,6,8,1,7,4,5]=>[7,6,3,1,8,2,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,1,8,6,4,5]=>[7,6,2,8,1,3,5,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,6,7,8,2,5]=>[8,5,6,3,2,1,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,7,8,5,3,4]=>[7,3,8,2,1,4,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,5,6,7,1,3]=>[7,5,1,4,3,2,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,8,5,6,7,3,2]=>[8,5,1,4,3,2,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,8,6,2,7,4,1]=>[6,4,1,3,7,2,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,8,2,5,1,6,4,3]=>[2,1,7,4,8,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,8,6,7,1,5,3]=>[7,5,1,3,2,8,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,7,3,6,8,5]=>[8,7,5,2,6,3,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,5,7,4,6,3,8]=>[8,7,4,2,5,3,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,8,6,7,5,4,2]=>[8,6,1,3,2,4,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,1,3,5,4,2,8,7]=>[3,8,6,4,5,7,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,4,2,5,1,8,7]=>[6,3,5,7,4,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,7,6,1,4,3]=>[7,1,4,2,3,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,8,5,6,3,7,1]=>[5,7,1,4,3,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,7,2,6,8,4,1]=>[4,6,2,7,3,1,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,2,3,4,6,8,1]=>[4,2,7,6,5,3,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,3,8,2,7,5,6,4]=>[8,6,1,7,2,4,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,2,3,8,6,4]=>[4,2,8,7,6,1,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,2,7,1,6,8,5,3]=>[5,7,2,8,3,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,2,7,5,8,6,3]=>[5,8,7,2,4,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,4,7,8,1,5,2]=>[3,6,5,2,1,8,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,3,4,1,5,2]=>[3,2,1,6,5,8,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,4,2,5,6,3]=>[8,2,1,5,7,4,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,1,2,8,5,7,6,4]=>[6,8,7,1,4,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,6,8,4,2,1,5,3]=>[2,3,1,5,7,8,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,8,5,2,3,6,4]=>[2,8,1,4,7,6,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,7,4,3,1,5,2]=>[3,1,2,5,6,8,4,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,8,6,2,4,1,5,3]=>[2,1,3,7,5,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,4,2,5,8,1]=>[6,3,2,5,7,4,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,2,8,4,6,1,5,3]=>[2,7,1,5,3,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,6,3,1,7,5,4]=>[7,1,3,6,8,2,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,6,4,7,2,5,8,1]=>[6,3,5,2,7,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,6,2,7,5,8,1]=>[6,5,3,7,2,4,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,6,2,8,1,5,3]=>[2,5,3,7,1,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,5,8,2,3,6,4]=>[2,8,4,1,7,6,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,6,1,2,4,3,8]=>[2,4,3,8,7,5,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,8,4,2,3,5,7]=>[3,8,1,5,7,6,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,6,3,8,5,4,2]=>[2,8,3,6,1,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,3,6,2,1,8,5,4]=>[2,6,3,7,8,1,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,4,6,2,1,8,5,3]=>[2,5,3,7,8,1,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,4,3,1,6,8,5]=>[2,7,5,6,8,3,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,2,3,1,6,4,8,5]=>[2,7,6,8,3,5,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,8,2,5,4,3,7]=>[3,8,1,7,4,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,8,7,3,4,6,2]=>[8,4,1,2,6,5,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,1,8,6,3,4,5,7]=>[7,8,1,3,6,5,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,8,6,4,2,5,7,3]=>[8,1,3,5,7,4,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,6,2,1,8,4,7,3]=>[4,3,7,8,1,5,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,8,7,5,3,6]=>[7,5,8,1,2,4,6,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,1,6,5,7,3,4]=>[7,1,8,3,4,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,8,1,7,5,6,3]=>[7,5,1,8,2,4,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,4,3,8,7,2]=>[4,8,3,5,6,1,2,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,3,1,4,8,5,7]=>[3,7,6,8,5,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,5,1,3,4,8,2]=>[3,2,4,8,6,5,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,5,3,2,1,8,4]=>[3,2,4,6,7,8,1,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,7,1,6,4,5,8,2]=>[6,2,8,3,5,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,1,4,6,7,8]=>[6,4,7,8,5,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,8,2,5,3,1,7,6]=>[5,1,7,4,6,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,3,7,6,4,5,8]=>[7,8,6,2,3,5,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,1,6,7,5,4,3]=>[7,1,8,3,2,4,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,8,7,5,4,6,2]=>[8,6,1,2,4,5,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,2,6,1,5,8,3]=>[5,2,7,3,8,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,8,6,3,1,5,2]=>[5,2,1,3,6,8,4,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,8,7,3,1,6,4,5]=>[7,1,2,6,8,3,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,3,8,4,6,7,1,2]=>[4,6,1,5,3,2,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,8,4,5,2,6,7]=>[6,8,1,5,4,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,3,8,6,4,7,1,5]=>[7,6,1,3,5,2,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,3,7,8,4,5,1,2]=>[3,6,2,1,5,4,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,4,8,5,1,2]=>[3,2,6,5,1,4,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,7,2,5,6,8,4]=>[6,8,2,7,4,3,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,8,3,1,6,2,4,5]=>[2,1,6,8,3,7,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,7,4,5,1,8,6]=>[7,6,2,5,4,8,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,1,5,6,8,4]=>[7,6,2,8,4,3,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,4,8,1,5,6,2]=>[2,6,5,1,8,4,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,2,6,8,1,4,3]=>[4,2,7,3,1,8,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,7,3,2,8,6]=>[5,8,4,2,6,7,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,6,2,7,3,1,4]=>[4,1,3,7,2,6,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,2,5,3,1,6,7]=>[5,1,7,4,6,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,3,4,8,2,6,7]=>[4,8,6,5,1,7,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,8,1,7,3,5]=>[5,3,7,1,8,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,3,6,1,8,5,4]=>[2,7,6,3,8,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,2,3,5,1,6,4]=>[2,1,7,6,4,8,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,5,1,2,6,3]=>[2,1,5,4,8,7,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,4,5,7,8,2,3]=>[3,8,5,4,2,1,7,6]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,3,4,7,1,8,5,2]=>[3,6,5,2,8,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,3,4,7,2,8,6]=>[4,8,6,5,2,7,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,5,1,3,4,6,2]=>[2,1,4,8,6,5,3,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,1,3,4,5,6,8,2]=>[2,8,6,5,4,3,1,7]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,2,4,6,8,7,3,5]=>[8,7,5,3,1,2,6,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,8,3,5,6,2,7,4]=>[8,1,6,4,3,7,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,1,6,8,7,3]=>[5,7,4,8,3,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,3,5,6,1,7,4]=>[1,7,6,4,3,8,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,6,8,3,5,4]=>[2,8,7,3,1,6,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,6,8,1,2,5,3]=>[5,2,3,1,8,7,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,6,1,3,4,2,5]=>[2,1,3,8,6,5,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,6,5,1,3,2,4]=>[2,1,3,4,8,6,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,8,5,2,6,3,4]=>[8,2,1,4,7,3,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,8,6,3,2,5,4]=>[2,8,1,3,6,7,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,7,2,6,3,4,1]=>[4,1,2,7,3,6,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,2,6,1,3,4]=>[4,2,1,7,3,8,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,5,1,8,2,3,4]=>[3,2,4,8,1,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,7,3,2,4,8,5]=>[3,8,2,6,7,5,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,3,1,8,2,5,4]=>[3,2,6,8,1,7,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,1,5,3,8,4]=>[3,2,7,8,4,6,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,3,1,4,8,5]=>[3,2,7,6,8,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,3,2,7,1,6,5]=>[5,1,6,7,2,8,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,1,7,6,5,2]=>[5,1,6,8,2,3,4,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,3,8,7,1,6,4,2]=>[4,6,1,2,8,3,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,8,7,3,1,6,4,2]=>[4,1,2,6,8,3,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,3,8,2,1,7,6,4]=>[4,6,1,7,8,2,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,7,2,6,5,1,4]=>[6,1,2,7,3,4,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,4,2,1,7,6,3]=>[4,1,5,7,8,2,3,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,8,4,7,1,6,3,2]=>[4,1,5,2,8,3,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,8,3,1,7,6,2]=>[4,5,1,6,8,2,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,8,5,4,3,7,2]=>[3,8,1,4,5,6,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,6,1,8,3,4,7,2]=>[4,3,8,1,6,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,1,5,2,4,7,3]=>[3,1,8,4,7,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,6,8,2,4,7,3]=>[4,8,3,1,7,5,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,5,8,4,7,2,3]=>[3,8,4,1,5,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,6,1,4,8,3]=>[2,7,4,3,8,5,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,6,8,1,4,7,3]=>[4,7,3,1,8,5,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,4,2,5,8,1,3]=>[3,2,5,7,4,1,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,4,1,2,5,8,3]=>[3,2,5,8,7,4,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,8,5,2,4,7,3]=>[8,3,1,4,7,5,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,7,4,2,5,8,3]=>[8,3,2,5,7,4,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,7,5,8,1,2,4]=>[6,3,2,4,1,8,7,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,7,5,8,3,2,4]=>[8,3,2,4,1,6,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,5,7,4,2,3]=>[8,3,1,4,2,5,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,6,5,7,4,1,2]=>[6,1,3,4,2,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,7,4,1,5,8,3]=>[7,3,2,5,8,4,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,4,1,5,8,2,3]=>[3,2,5,8,4,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,1,6,5,7,4,2]=>[6,1,8,3,4,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,4,1,6,5,8,2]=>[6,2,5,8,3,4,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,7,3,6,4,1]=>[4,7,1,2,6,3,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,6,5,7,4,3,2]=>[1,8,3,4,2,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,8,2,1,5,7,4,3]=>[3,1,7,8,4,2,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,5,8,7,4,2,3,1]=>[3,4,1,2,5,7,6,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,1,8,6,5,7,4,2]=>[6,8,1,3,4,2,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,8,5,7,4,2,1,3]=>[3,1,4,2,5,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,7,5,8,2,1,4]=>[6,3,2,4,1,7,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,6,5,7,4,3,2]=>[8,1,3,4,2,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,8,5,6,3,1,2]=>[5,2,1,4,3,6,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,5,3,6,1,2]=>[5,2,1,4,6,3,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,8,5,3,4,6,1]=>[7,2,1,4,6,5,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,8,5,3,1,4,6]=>[7,2,1,4,6,8,5,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,7,5,8,3,1,4,6]=>[7,2,4,1,6,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,5,8,3,4,6,1]=>[7,2,4,1,6,5,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,5,6,3,4,8,1]=>[7,2,4,3,6,5,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,5,3,1,4,2,8]=>[3,2,4,6,8,5,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,5,3,1,6,2,8]=>[5,2,4,6,8,3,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,5,3,6,1,4,8]=>[7,2,4,6,3,8,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,5,3,6,4,8,1]=>[7,2,4,6,3,5,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,3,1,8,2,6]=>[5,2,4,6,8,1,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,7,5,3,1,8,2,4]=>[3,2,4,6,8,1,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,5,3,8,1,6,4]=>[7,2,4,6,1,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,3,8,6,1,4]=>[7,2,4,6,1,3,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,5,8,3,1,6,4]=>[7,2,4,1,6,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,5,3,8,1,6,2]=>[5,2,4,6,1,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,3,8,6,1,2]=>[5,2,4,6,1,3,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,5,8,6,3,1,4]=>[7,2,4,1,3,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,7,5,8,6,3,4,1]=>[7,2,4,1,3,6,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,5,6,8,3,4,1]=>[7,2,4,3,1,6,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,6,8,3,1,4]=>[7,2,4,3,1,6,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,5,3,4,1,8,2]=>[3,2,4,6,5,8,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,6,3,1,8,4]=>[7,2,4,3,6,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,5,6,3,8,4,1]=>[7,2,4,3,6,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,5,3,6,8,1,4]=>[7,2,4,6,3,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,5,3,6,1,8,4]=>[7,2,4,6,3,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,3,1,6,8,4]=>[7,2,4,6,8,3,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,7,5,3,1,6,8,2]=>[5,2,4,6,8,3,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,7,5,3,4,1,8,6]=>[7,2,4,6,5,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,3,4,8,1,6]=>[7,2,4,6,5,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,5,3,4,6,8,1]=>[7,2,4,6,5,3,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,5,3,4,6,1,8]=>[7,2,4,6,5,3,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,5,3,4,1,6,8]=>[7,2,4,6,5,8,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,5,3,1,2,6,8]=>[5,2,4,6,8,7,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,7,6,1,8,3,2,4]=>[4,2,3,8,1,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,7,1,2,5,4,6]=>[6,1,2,8,7,4,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,7,2,1,5,4,6]=>[6,1,2,7,8,4,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,7,8,3,1,2]=>[5,3,4,2,1,6,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,6,1,7,4,2,3]=>[4,1,3,8,2,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,7,2,8,4,3,5]=>[3,8,2,7,1,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,5,6,7,3,1,2]=>[5,1,4,3,2,6,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,6,1,8,4,2,5]=>[6,2,3,8,1,5,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,7,3,8,5,2,4]=>[3,8,2,6,1,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,8,3,2,5,4,6]=>[2,8,1,6,7,4,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,7,3,2,4,8,6]=>[4,8,2,6,7,5,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,8,3,1,5,4,6]=>[7,2,1,6,8,4,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,6,8,7,3,1,4]=>[7,4,3,1,2,6,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,8,5,6,7,2,1,3]=>[5,1,4,3,2,7,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,7,2,3,4,1,6]=>[4,1,2,7,6,5,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,6,2,7,4,1,3]=>[4,1,3,7,2,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,7,8,5,1,3]=>[7,5,3,2,1,4,8,6]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,6,7,8,3,1,5]=>[7,5,3,2,1,6,8,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [4,7,6,2,8,3,1,5]=>[5,2,3,7,1,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,6,3,7,4,1,2]=>[4,1,3,6,2,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,7,3,2,4,1,6]=>[4,1,2,6,7,5,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,8,7,3,1,2]=>[5,3,4,1,2,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,1,2,8,7,3,6]=>[5,4,8,7,1,2,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,1,2,8,3,7,4]=>[4,3,8,7,1,6,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,7,1,6,2,4,3]=>[4,1,2,8,3,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,1,7,6,2,3]=>[5,1,4,8,2,3,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,4,5,1,7,6,2,3]=>[1,5,4,8,2,3,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,7,1,8,2,6,3]=>[4,5,2,8,1,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,6,1,3,8,4,2]=>[2,4,3,8,6,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,5,1,3,7,4,2]=>[3,1,4,8,6,2,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,6,1,3,8,4,2]=>[4,2,3,8,6,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,5,1,3,8,4,2]=>[3,2,4,8,6,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,1,4,2,8,5,3]=>[3,2,8,5,7,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,1,4,2,8,6,3]=>[4,2,8,5,7,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,1,8,6,5,7,2]=>[6,5,8,1,3,4,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,1,2,4,8,6,3]=>[4,2,8,7,5,1,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,7,4,1,3,8,5,2]=>[3,2,5,8,6,1,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,4,5,1,3,8,6,2]=>[2,5,4,8,6,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,3,6,4,2,5,7,8]=>[8,6,3,5,7,4,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,4,5,7,8,3,6,2]=>[8,5,4,2,1,6,3,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,5,7,8,3,6,2,4]=>[8,4,2,1,6,3,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,7,8,2,4,3,6]=>[8,4,2,1,7,5,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,8,1,7,2,4,5,3]=>[3,1,8,2,7,5,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,4,7,3,2,1,5]=>[3,1,5,2,6,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,2,1,5,4,7]=>[3,1,6,7,8,4,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,5,8,2,1,3,4,7]=>[3,4,1,7,8,6,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,8,5,3,6,1,4,7]=>[7,1,4,6,3,8,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,1,4,6,7,5,3]=>[7,1,8,5,3,2,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,8,4,1,7,6,5,3]=>[7,1,5,8,2,3,4,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,5,4,2,7,1,3]=>[3,1,4,5,7,2,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,4,6,3,2,7,5]=>[8,1,5,3,6,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,8,5,3,2,1,7]=>[3,5,1,4,6,7,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,5,6,1,4,2,7,8]=>[6,4,3,8,5,7,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,3,8,4,2,7,5]=>[8,3,6,1,5,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,8,1,2,3,7,4]=>[3,4,1,8,7,6,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,3,2,4,6,8,5]=>[2,8,6,7,5,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,4,5,6,1,3,8,2]=>[2,5,4,3,8,6,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,7,8,3,5,2,4]=>[8,3,2,1,6,4,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,1,4,8,7,3,5,6]=>[7,8,5,1,2,6,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,6,8,2,5,4,1]=>[6,2,3,1,7,4,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,8,7,1,3,2]=>[4,5,3,1,2,8,6,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,2,6,7,5,3]=>[5,8,1,7,3,2,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,6,7,8,2,1,4,5]=>[6,3,2,1,7,8,5,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,7,1,6,3,4,8]=>[7,4,2,8,3,6,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,8,3,6,5,1,7]=>[5,7,1,6,3,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,4,7,8,6,1,3]=>[4,7,5,2,1,3,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,5,7,1,8,6,3]=>[7,5,4,2,8,1,3,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,2,4,7,3,8,5,1]=>[3,7,5,2,6,1,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,7,4,3,2,8,6]=>[8,4,2,5,6,7,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,1,6,2,3,4,7,5]=>[1,8,3,7,6,5,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,1,4,2,5,7,8,3]=>[3,8,5,7,4,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,4,8,6,7,2,5,1]=>[6,5,1,3,2,7,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,7,2,4,3,5,8]=>[8,3,2,7,5,6,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,7,3,2,6,5,4]=>[8,1,2,6,7,3,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,3,4,5,2,7,6]=>[8,1,6,5,4,7,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,6,4,7,2,5]=>[8,1,6,3,5,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,7,2,5,6,3,8]=>[8,5,2,7,4,3,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,8,6,4,7,1,2]=>[6,4,1,3,5,2,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,8,6,7,2,1,5]=>[6,5,1,3,2,7,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,6,2,5,8,7,3]=>[8,5,3,7,4,1,2,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,4,1,8,2,7,5]=>[3,6,5,8,1,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,6,8,2,5,7,3]=>[5,8,3,1,7,4,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,2,5,8,3,7,4]=>[8,3,7,4,1,6,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,5,8,4,3,6]=>[8,2,7,4,1,5,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,6,7,8,3,5,2]=>[8,5,3,2,1,6,4,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,7,5,1,6,8,4,2]=>[6,2,4,8,3,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,7,4,6,2,3,1]=>[4,1,2,5,3,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,7,1,5,3,4,2]=>[3,1,2,8,4,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,8,4,6,5,1,3]=>[7,2,1,5,3,4,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,5,4,6,2,1]=>[6,2,1,4,5,3,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,8,7,5,2,6,3,1]=>[5,1,2,4,7,3,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,8,7,4,6,1,5,3]=>[7,1,2,5,3,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,2,5,6,3,1]=>[5,1,2,7,4,3,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,8,3,5,2,7,4]=>[8,3,1,6,4,7,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,6,3,7,2,1]=>[5,4,1,3,6,2,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,7,8,4,5,1,3]=>[7,3,2,1,5,4,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,7,1,8,2,6,4,3]=>[4,2,8,1,7,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,8,4,7,6,2,1]=>[4,6,1,5,2,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,5,8,1,7,4,6,3]=>[7,4,1,8,2,5,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,3,7,6,2,1]=>[5,4,1,6,2,3,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,7,8,1,6,2,4]=>[6,4,2,1,8,3,7,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,7,8,5,6,1,3]=>[7,5,2,1,4,3,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,1,7,8,5,6,3,2]=>[5,8,2,1,4,3,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,8,6,4,7,2,1]=>[6,4,1,3,5,2,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,8,5,7,6,1,3]=>[7,5,1,4,2,3,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,8,5,1,7,4]=>[7,3,6,1,4,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,8,6,7,3,2]=>[5,8,4,1,3,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,3,7,2,8,5,6]=>[8,5,6,2,7,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,8,2,6,3,1,7]=>[5,4,1,7,3,6,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,2,4,7,1,8]=>[3,6,4,7,5,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,6,3,4,8,1,7]=>[4,7,3,6,5,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,3,8,4,6,1,7]=>[4,7,6,1,5,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,3,5,8,6,1,7]=>[5,7,6,4,1,3,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,2,4,6,1,5,7]=>[6,1,7,5,3,8,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,8,4,6,1,5,7]=>[7,6,1,5,3,8,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,7,5,2,1,8,6]=>[5,6,2,4,7,8,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,3,4,7,6,1,2,8]=>[4,6,5,2,3,8,7,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,4,3,2,7,6,8]=>[4,8,5,6,7,2,3,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,3,5,8,7,2,6]=>[5,8,6,4,1,2,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,2,7,4,8,6,5]=>[6,8,7,2,5,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,7,2,1,8,5,6]=>[6,5,2,7,8,1,4,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,8,2,1,4,7,6,5]=>[6,1,7,8,5,2,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,4,7,1,8,5,6]=>[6,7,5,2,8,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,5,4,1,3,7,6]=>[7,1,4,5,8,6,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,2,3,5,7,1,8,6]=>[5,7,6,4,2,8,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,8,7,1,3,5,6]=>[5,7,1,2,8,6,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,8,6,5,3,1,2,7]=>[5,1,3,4,6,8,7,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,4,6,3,1,7,2,8]=>[4,5,3,6,8,2,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,6,5,1,8,2,7]=>[5,6,3,4,8,1,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,6,8,7,3,2,4]=>[8,4,3,1,2,6,7,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,8,3,6,5,2,7]=>[8,5,1,6,3,4,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,1,3,6,5,2,7]=>[5,1,8,6,3,4,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,1,6,7,2,8]=>[6,4,5,8,3,2,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,1,8,6,5,2,7]=>[6,5,8,1,3,4,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,8,6,4,7,2,5]=>[8,6,1,3,5,2,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,8,6,4,3,7,5]=>[8,7,1,3,5,6,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,1,7,6,8,3,2,5]=>[5,8,2,3,1,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,1,7,6,4,3,8,5]=>[7,8,2,3,5,6,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,3,5,1,2,8,7,4]=>[3,6,4,8,7,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,8,4,7,6,2,3,5]=>[8,1,5,2,3,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,4,7,6,1,3,2]=>[4,1,5,2,3,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,4,7,6,1,3,5]=>[1,7,5,2,3,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,3,7,4,8,5,1]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,1,7,8,2,5,3]=>[5,3,8,2,1,7,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,8,4,5,6,1]=>[2,7,6,1,5,4,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,6,7,8,3,4,1]=>[4,7,3,2,1,6,5,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,5,8,1,2,7,4,3]=>[3,4,1,8,7,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,1,7,6,2,8,3]=>[5,4,8,2,3,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,2,7,6,3,4,8]=>[8,4,7,2,3,6,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,6,8,3,5,4,1]=>[2,7,3,1,6,4,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,8,7,6,5,2,3]=>[5,8,1,2,3,4,7,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,8,5,2,6,4,1,3]=>[2,1,4,7,3,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,8,2,5,4,1,3]=>[2,3,1,7,4,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,8,6,1,5,4,3]=>[2,7,1,3,8,4,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,6,2,5,1,4,3]=>[2,1,3,7,4,8,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,6,1,5,4,2]=>[6,1,2,3,8,4,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,6,7,8,4,5,2,3]=>[8,3,2,1,5,4,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,2,8,4,1,5,7]=>[6,3,7,1,5,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,7,5,4,1,6,2]=>[1,6,2,4,5,8,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,8,6,5,4,1,7,2]=>[6,1,3,4,5,8,2,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,6,5,8,4,7,2,3]=>[8,3,4,1,5,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,5,7,3,1,6,8]=>[7,5,4,2,6,8,3,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [8,2,6,7,4,5,1,3]=>[1,7,3,2,5,4,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,7,8,4,6,5,3]=>[8,7,2,1,5,3,4,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,3,8,4,1,2,5,7]=>[3,6,1,5,8,7,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,6,3,5,4,8,2,7]=>[8,3,6,4,5,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,1,8,7,2,6]=>[5,4,6,8,1,2,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,8,6,4,2,7]=>[6,8,4,1,3,5,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,8,1,5,2,6,7]=>[6,5,1,8,4,7,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,8,1,5,2,3,7]=>[5,3,1,8,4,7,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,6,7,1,8,3,4]=>[4,7,3,2,8,1,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,8,5,2,7,1,4]=>[6,3,1,4,7,2,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,8,2,7,4,3,5]=>[3,8,1,7,2,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,6,3,1,7,4,8]=>[7,4,3,6,8,2,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,2,8,1,3,4]=>[4,2,3,7,1,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,4,6,8,7,1,3]=>[4,7,5,3,1,2,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,6,5,7,2,3,4]=>[1,8,3,4,2,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,4,6,2,5,7,3,8]=>[8,5,3,7,4,2,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,6,5,2,8,4,3]=>[2,8,3,4,7,1,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,5,8,6,2,7,4,3]=>[8,4,1,3,7,2,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,4,7,1,3,8,2,5]=>[3,5,2,8,6,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,3,6,7,4,1,5]=>[1,7,6,3,2,5,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,8,5,7,2,6,4]=>[6,8,1,4,2,7,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,4,2,3,8,1,5]=>[3,2,5,7,6,1,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,4,3,8,1,2,7]=>[4,3,5,6,1,8,7,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,5,3,4,2,1,7]=>[3,1,4,6,5,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,5,6,4,2,7,1,3]=>[1,4,3,5,7,2,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,2,4,8,1,6,3]=>[4,2,7,5,1,8,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,8,1,4,6,3]=>[7,2,4,1,8,5,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,3,5,8,1,6,4]=>[7,2,6,4,1,8,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,3,8,1,6,4]=>[4,7,2,6,1,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,5,6,4,1,3,7,2]=>[1,4,3,5,8,6,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,7,5,8,2,1,6,4]=>[6,2,4,1,7,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,7,1,8,5,4]=>[6,7,3,2,8,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,3,7,8,2,5,4]=>[3,8,6,2,1,7,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,8,1,2,6,3]=>[4,5,2,1,8,7,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,1,4,3,8,6,2]=>[4,2,8,5,6,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,7,8,2,5,4]=>[6,8,3,2,1,7,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,7,8,2,5,4]=>[8,6,3,2,1,7,4,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,6,7,8,2,1,5]=>[6,5,3,2,1,7,8,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,6,3,7,8,2,5,4]=>[8,3,6,2,1,7,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,7,8,4,1,5]=>[6,7,3,2,1,5,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,7,8,5,3,1,4]=>[3,7,2,1,4,6,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,7,4,8,5,1,3]=>[3,7,2,5,1,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,2,8,1,4,6,3]=>[4,2,7,1,8,5,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,4,3,1,6,5,2]=>[2,1,5,6,8,3,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,6,1,7,8,3,5,4]=>[7,3,8,2,1,6,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,8,6,1,3,4]=>[7,2,4,1,3,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,1,3,8,5,4,2]=>[3,2,8,6,1,4,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,7,1,8,5,2,4,3]=>[3,2,8,1,4,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,4,7,8,1,3,5]=>[7,3,5,2,1,8,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,6,7,8,5,3,4]=>[8,7,3,2,1,4,6,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,6,7,4,8,3,2,5]=>[8,3,2,5,1,6,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,7,8,3,2,5]=>[8,3,5,2,1,6,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,6,7,8,3,2,5]=>[8,5,3,2,1,6,7,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [6,1,2,4,5,3,7,8]=>[3,8,7,5,4,6,2,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,7,3,2,6,4,5]=>[1,8,2,6,7,3,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,4,8,6,5,3,1]=>[7,2,5,1,3,4,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,1,8,7,2,3,5,4]=>[3,8,1,2,7,6,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,8,2,7,1,5,4]=>[6,3,1,7,2,8,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,1,4,5,7,3]=>[7,1,3,8,5,4,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,7,2,5,4,1,3]=>[3,1,2,7,4,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,3,4,6,2,5]=>[2,1,8,6,5,3,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,6,4,8,7,5,1]=>[6,7,3,5,1,2,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,7,2,8,6,5,1,3]=>[5,2,7,1,3,4,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,1,8,6,5,3,2]=>[5,2,8,1,3,4,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,7,3,8,6,1,5,2]=>[5,2,6,1,3,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,8,7,2,5,1]=>[5,6,3,1,2,7,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,8,2,5,7,6,1]=>[5,6,1,7,4,2,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,2,6,8,7,5,3]=>[5,8,7,3,1,2,4,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,6,4,8,7,2,5]=>[6,8,3,5,1,2,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,6,8,7,5,2,3]=>[5,8,3,1,2,4,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,1,4,5,7,2,6]=>[6,1,8,5,4,2,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,8,1,4,2,5,7,6]=>[6,1,8,5,7,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,8,3,5,2,7,6]=>[5,8,1,6,4,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,1,2,5,4,7,6]=>[6,1,8,7,4,5,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,6,8,7,1,5]=>[5,7,6,3,1,2,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,3,5,1,7,6]=>[5,7,1,6,4,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,8,3,5,7,6,1]=>[5,7,1,6,4,2,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,2,5,1,4,7,6]=>[6,1,7,4,8,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,8,5,7,1,3,6]=>[5,7,1,4,2,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,1,5,2,4,7,6]=>[6,1,8,4,7,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,6,4,1,3,2,8]=>[2,4,3,5,8,6,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,6,4,1,3,2,5]=>[2,1,3,5,8,6,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,4,2,5,6,3,8]=>[2,8,5,7,4,3,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,1,3,5,6,8,4]=>[7,2,8,6,4,3,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,6,2,1,5,8,7,4]=>[6,3,7,8,4,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,6,1,5,8,7,4]=>[7,6,3,8,4,1,2,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,7,1,5,6,8,2]=>[6,5,2,8,4,3,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,7,4,1,2,8,5]=>[6,3,2,5,8,7,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,8,1,5,3,7,4]=>[7,3,1,8,4,6,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,1,5,3,7,4]=>[3,1,7,8,4,6,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,2,3,6,7,1]=>[5,4,1,7,6,3,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,8,5,3,6,7,1]=>[7,5,1,4,6,3,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,5,3,8,6,7,1]=>[7,5,4,6,1,3,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,2,8,6,7,1]=>[5,6,4,7,1,3,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,5,3,2,6,7,1]=>[5,1,4,6,7,3,2,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,5,4,2,8,6,7,1]=>[6,4,5,7,1,3,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,2,7,5,6,8,3]=>[5,8,7,2,4,3,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,7,4,2,8,3,1]=>[4,3,2,5,7,1,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,7,4,6,8,3,1]=>[7,4,2,5,3,1,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,8,5,4,7,3]=>[7,3,8,1,4,5,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,2,8,5,6,4,3]=>[2,8,7,1,4,3,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,8,5,4,7,2]=>[6,8,3,1,4,5,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,5,8,4,6,7,1]=>[7,6,4,1,5,3,2,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,5,2,8,4,6,7,1]=>[6,4,7,1,5,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,4,8,2,6,7,1]=>[4,6,5,1,7,3,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,8,3,5,4,7,2]=>[3,8,1,6,4,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,3,2,6,7,1]=>[4,5,1,6,7,3,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,2,3,4,6,7,1]=>[4,1,7,6,5,3,2,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,2,5,6,4,1,8,3]=>[2,7,4,3,5,8,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,5,1,4,6,8,3]=>[2,7,4,8,5,3,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,2,5,6,4,1,7,3]=>[1,7,4,3,5,8,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,5,6,4,7,1,3]=>[1,7,4,3,5,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,6,8,3,2,5,1]=>[2,5,3,1,6,7,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,6,8,3,2,1,5]=>[2,5,3,1,6,7,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,5,8,6,3,7,2,4]=>[8,4,1,3,6,2,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,8,7,3,5,2,4]=>[3,8,1,2,6,4,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,2,7,3,5,4,8]=>[3,8,7,2,6,4,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,8,2,4,6,5]=>[6,8,2,1,7,5,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,6,8,3,2,7,5]=>[8,5,3,1,6,7,2,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,5,2,7,1,8,6]=>[6,5,4,7,2,8,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,6,8,4,2,5]=>[6,8,2,3,1,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,5,6,1,2,3,8,4]=>[2,4,3,8,7,6,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,5,7,6,3,2,8,4]=>[8,4,2,3,6,7,1,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,4,6,7,3,1,2,5]=>[1,5,3,2,6,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,6,7,3,2,5,1]=>[1,5,3,2,6,7,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,7,6,2,4,5,1]=>[6,1,2,3,7,5,4,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,7,2,4,1,6,8,5]=>[6,2,7,5,8,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,4,6,2,3,5,7,1]=>[1,5,3,7,6,4,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,4,6,2,3,1,5,7]=>[1,5,3,7,6,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,1,7,5,2,8,6]=>[6,5,8,2,4,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,8,5,4,2,6]=>[6,8,2,1,4,5,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,5,2,8,6,1,7]=>[6,5,4,7,1,3,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,5,2,8,1,6,7]=>[6,5,4,7,1,8,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,5,2,6,8,1,7]=>[6,5,4,7,3,1,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,5,2,1,8,6,7]=>[6,5,4,7,8,1,3,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,4,8,5,6,1,2,3]=>[2,5,1,4,3,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,8,5,1,3,4,7]=>[3,7,1,4,8,6,5,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,2,7,8,6,1,4,5]=>[6,7,2,1,3,8,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,2,5,1,3,7,4]=>[3,1,7,4,8,6,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,4,2,1,5,3,8]=>[3,2,5,7,8,4,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,4,1,3,6,2,8]=>[4,2,5,8,6,3,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,7,5,1,8,3,6]=>[5,7,2,4,8,1,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,4,6,3,8,2,7]=>[8,4,5,3,6,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,8,1,7,3,6,2]=>[4,5,1,8,2,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,8,6,2,1,7,5]=>[5,6,1,3,7,8,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,6,2,4,1,7,5]=>[1,6,3,7,5,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,8,5,3,1,6,4]=>[2,7,1,4,6,8,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,5,4,8,7,3,6,1]=>[7,4,5,1,2,6,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,8,1,7,4,2,5]=>[6,3,1,8,2,5,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,6,3,1,4,5,2]=>[2,1,3,6,8,5,4,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,7,5,4,8,3,1,6]=>[7,2,4,5,1,6,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,7,5,2,1,3,4]=>[3,1,2,4,7,8,6,5]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,5,7,6,2,8,4,3]=>[8,4,2,3,7,1,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,7,8,5,6,2,3,1]=>[5,2,1,4,3,7,6,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,8,5,6,1,4,3]=>[7,2,1,4,3,8,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,4,2,1,5,3]=>[3,2,1,5,7,8,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,8,1,2,5,6,3]=>[5,2,1,8,7,4,3,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,4,7,2,5,8,3]=>[3,8,5,2,7,4,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,8,3,5,4,2,1]=>[3,2,1,6,4,5,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,8,3,6,5,4,1]=>[7,2,1,6,3,4,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,1,2,5,7,4,8]=>[6,3,8,7,4,2,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,3,2,7,4,1,8]=>[4,3,6,7,2,5,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,3,7,5,8,1]=>[7,3,5,6,2,4,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,4,7,1,5,3,6]=>[1,7,5,2,8,4,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,3,7,8,4,1,6]=>[4,7,6,2,1,5,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,6,1,8,4,5]=>[2,7,6,3,8,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,3,6,8,4,1]=>[4,7,2,6,3,1,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,5,6,1,2,8,3,4]=>[2,4,3,8,7,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,5,8,6,2,7,3]=>[5,8,4,1,3,7,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,6,5,7,1,2,8]=>[6,5,3,4,2,8,7,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,7,5,6,3,1,8]=>[7,5,2,4,3,6,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,5,7,2,4,1,6,3]=>[1,4,2,7,5,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,7,5,8,1,4,3]=>[7,3,2,4,1,8,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,5,8,3,4,1]=>[7,3,2,4,1,6,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,7,6,3,4,1]=>[7,4,1,2,3,6,5,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,4,8,2,1,5,6,3]=>[2,5,1,7,8,4,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,3,6,7,8,5,1,4]=>[7,6,3,2,1,4,8,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [8,3,7,1,6,4,2,5]=>[1,6,2,8,3,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,7,8,6,3,5,1]=>[7,5,2,1,3,6,4,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,7,4,1,6,8,2,3]=>[4,2,5,8,3,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,6,8,7,3,2,5]=>[8,5,3,1,2,6,7,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,5,8,3,6,2,4,7]=>[8,4,1,6,3,7,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,8,1,3,7,2,4]=>[4,3,1,8,6,2,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,8,6,1,2,5]=>[6,2,5,1,3,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,2,5,6,3,1,4]=>[2,1,7,4,3,6,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,8,5,3,2,4,7]=>[3,8,1,4,6,7,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,6,8,5,3,2,4,7]=>[8,3,1,4,6,7,5,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,1,2,8,3,7,4,6]=>[4,8,7,1,6,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,6,7,4,2,3]=>[4,1,8,3,2,5,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,2,8,1,5,7]=>[6,3,5,7,1,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,6,5,1,3,8,4]=>[2,7,3,4,8,6,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,8,3,1,7,4,6]=>[4,7,1,6,8,2,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,8,4,6,7,3,5]=>[8,7,1,5,3,2,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,8,4,6,1,3,5]=>[2,7,1,5,3,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,7,4,3,8,1,5]=>[3,7,2,5,6,1,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,5,7,3,4,1,6]=>[1,7,4,2,6,5,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,8,4,6,2,3,5]=>[8,2,1,5,3,7,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,8,4,6,2,3,5]=>[2,8,1,5,3,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,8,6,5,4,7,2,3]=>[8,1,3,4,5,2,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,6,1,4,7,2,3]=>[4,1,3,8,5,2,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,6,5,4,7,2,3]=>[1,8,3,4,5,2,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,6,8,7,3,2,5]=>[5,8,3,1,2,6,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,4,6,7,3,8,2]=>[4,8,5,3,2,6,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,1,5,7,2,3]=>[5,1,3,8,4,2,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,6,2,5,7,8,3]=>[5,8,3,7,4,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,3,7,2,4,8,6]=>[4,8,6,2,7,5,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,8,2,5,7,1,6]=>[6,5,1,7,4,2,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,4,1,2,8,5]=>[3,2,6,5,8,7,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,3,4,6,2,8,5]=>[2,8,6,5,3,7,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,4,6,2,8,5]=>[8,2,6,5,3,7,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,8,5,3,1,6]=>[5,2,7,1,4,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,5,1,3,4,7,6]=>[7,1,4,8,6,5,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,1,6,5,2,4,7,3]=>[1,8,3,4,7,5,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,7,1,3,6,8,2,4]=>[4,2,8,6,3,1,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,7,5,8,6,3,2]=>[8,5,2,4,1,3,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [8,5,7,2,3,6,1,4]=>[1,4,2,7,6,3,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,8,3,4,7,2,5]=>[3,8,1,6,5,2,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,6,3,5,2,7,4]=>[8,1,3,6,4,7,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,3,5,4,2,6]=>[2,1,8,6,4,5,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,2,6,4,1,7]=>[6,4,1,7,3,5,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,8,6,3,7,1]=>[5,7,4,1,3,6,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,5,6,3,1,7,4]=>[1,7,4,3,6,8,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,2,4,7,3,1,5]=>[3,1,7,5,2,6,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,4,3,5,7,6]=>[8,1,7,5,6,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,4,2,5,3,6]=>[2,8,1,5,7,4,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,8,7,5,2,6,3]=>[8,5,1,2,4,7,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,1,8,6,5,7,3,2]=>[5,8,1,3,4,2,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,7,6,4,1,2,3,8]=>[4,2,3,5,8,7,6,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,5,6,4,2,3,7,8]=>[8,4,3,5,7,6,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,3,6,8,4,2,1]=>[4,2,6,3,1,5,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,4,6,2,5,8,1,3]=>[2,5,3,7,4,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,7,4,2,1,3,6]=>[4,1,2,5,7,8,6,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,1,5,2,7,8,6,4]=>[6,8,4,7,2,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,5,8,7,3,4,2,6]=>[8,4,1,2,6,5,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,7,3,2,5,4,6]=>[8,1,2,6,7,4,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,2,5,4,8,7,3,6]=>[8,7,4,5,1,2,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,4,7,3,8,6]=>[8,4,7,5,2,6,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,1,8,6,3,5]=>[7,2,5,8,1,3,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,2,5,7,8,4]=>[8,3,6,7,4,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,3,4,2,6,8,5]=>[8,2,6,5,7,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,6,8,5,2,1,3]=>[2,5,3,1,4,7,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,2,5,8,4,6,3,7]=>[8,7,4,1,5,3,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,1,8,5,2,6,4,7]=>[6,8,1,4,7,3,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,8,6,2,3,7,5]=>[5,8,1,3,7,6,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,6,3,2,7,5,1]=>[5,1,3,6,7,2,4,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,5,8,6,2,3,4,1]=>[2,4,1,3,7,6,5,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,6,4,3,8,5,2]=>[8,2,3,5,6,1,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,5,7,6,3,2,4]=>[8,1,4,2,3,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,4,7,3,6,8,5,2]=>[8,5,2,6,3,1,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,3,5,7,8,4,2]=>[8,3,6,4,2,1,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,5,6,3,2,7,8,4]=>[8,4,3,6,7,2,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,8,4,7,5,3,2,6]=>[8,1,5,2,4,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,5,6,3,1,7,4]=>[7,1,4,3,6,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,6,8,4,3,7,5]=>[8,7,3,1,5,6,2,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,3,7,2,6,4,1,8]=>[4,6,2,7,3,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,8,2,6,1,7,4]=>[4,6,1,7,3,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,7,2,3,5,1,8]=>[3,5,2,7,6,4,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,3,2,8,1,7,5]=>[5,3,6,7,1,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,3,1,5,6,2]=>[2,1,5,6,8,4,3,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,3,7,2,8,1,6,4]=>[4,6,2,7,1,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,4,2,1,6,7]=>[1,6,4,5,7,8,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,8,4,3,1,5,2,6]=>[2,1,5,6,8,4,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,5,8,6,1,3,2]=>[5,2,4,1,3,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,7,3,8,4,1,2]=>[3,4,2,6,1,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,6,7,1,5,3,2,4]=>[1,3,2,8,4,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,5,6,1,3,4,2,8]=>[2,4,3,8,6,5,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,5,1,3,4,2,6]=>[2,1,4,8,6,5,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,8,3,4,6,1,2]=>[4,2,1,6,5,3,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,3,4,2,8,6]=>[4,2,8,6,5,7,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,6,4,8,1,2]=>[2,6,4,3,5,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,8,2,5,6,4]=>[8,2,6,1,7,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,3,7,8,4,6,2]=>[8,4,6,2,1,5,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,3,8,2,6,4]=>[8,4,2,6,1,7,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,5,3,6,2,4,8]=>[2,8,4,6,3,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,3,5,8,4,2,6]=>[8,2,6,4,1,5,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,7,5,8,6,2,4]=>[8,6,2,4,1,3,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,5,8,3,4,2,6]=>[8,2,4,1,6,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,6,3,4,2,8]=>[2,8,4,3,6,5,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,5,6,4,1,2,8]=>[2,6,4,3,5,8,7,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,5,8,4,1,2,6]=>[6,2,4,1,5,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,6,8,1,3,4,2]=>[2,4,3,1,8,6,5,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,4,7,8,1,2,6]=>[4,6,5,2,1,8,7,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,7,6,8,1,2,4]=>[4,6,2,3,1,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,1,2,5,8,4,6]=>[6,2,8,7,4,1,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,7,5,8,4,6]=>[6,8,7,2,4,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,2,5,7,8,6,4]=>[6,8,7,4,2,1,3,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,3,5,1,2,6,4,8]=>[2,6,4,8,7,3,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,1,2,8,5,6,4]=>[6,2,8,7,1,4,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,8,3,5,6,1,2]=>[2,5,1,6,4,3,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,6,4,2,3,1,8]=>[4,2,3,5,7,6,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,5,8,4,6,2,1,3]=>[2,4,1,5,3,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,2,4,6,1,3,7]=>[4,1,7,5,3,8,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,4,8,5,2,7,3]=>[3,8,5,1,4,7,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,1,2,3,6,7,4]=>[4,1,8,7,6,3,2,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,6,8,4,7,2,1,3]=>[4,3,1,5,2,7,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,8,3,6,7,2]=>[5,4,8,1,6,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,1,2,4,6,7,3]=>[4,1,8,7,5,3,2,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,8,7,4,2,1,5,3]=>[3,1,2,5,7,8,4,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,8,7,4,3,1,2,5]=>[3,1,2,5,6,8,7,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [5,6,8,4,7,3,1,2]=>[4,3,1,5,2,6,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,4,2,8,1,6]=>[2,6,4,5,7,1,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,6,4,3,1,5,7]=>[7,1,3,5,6,8,4,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,1,7,4,3,2,5,6]=>[1,8,2,5,6,7,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,1,6,8,5,2,7,4]=>[6,8,3,1,4,7,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,1,3,2,6,7,5]=>[5,1,8,6,7,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,8,1,2,6,7,3]=>[4,5,1,8,7,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,8,1,2,3,6,7,5]=>[5,1,8,7,6,3,2,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,1,5,8,2,6,7,3]=>[5,8,4,1,7,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,8,2,4,6,7,3]=>[4,8,1,7,5,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,1,8,2,6,7,4]=>[6,4,8,1,7,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,8,5,3,7,4]=>[7,3,8,1,4,6,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,1,2,4,6,7,5]=>[6,1,8,7,5,3,2,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,2,3,8,1,7,4,6]=>[4,7,6,1,8,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,5,7,1,6,4,8]=>[7,6,4,2,8,3,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,3,8,2,4,6,7]=>[8,4,6,1,7,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,1,8,6,3,5,4]=>[7,2,8,1,3,6,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,6,1,3,2,8,4]=>[4,2,3,8,6,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,2,6,1,4,8]=>[4,2,6,7,3,8,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,7,5,3,6,4,2]=>[1,8,2,4,6,3,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,5,4,6,1,7,8,2]=>[6,4,5,3,8,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,5,1,8,3,7,2]=>[5,3,4,8,1,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,5,4,6,3,7,2]=>[1,8,4,5,3,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,1,5,6,4,3,8]=>[7,2,8,4,3,5,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,1,8,6,2,3]=>[5,2,4,8,1,3,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,4,6,3,1,7,2,5]=>[1,5,3,6,8,2,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,6,2,1,7,4,3]=>[1,4,3,7,8,2,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,5,6,4,1,7,2,8]=>[6,4,3,5,8,2,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,6,1,7,4,3,8]=>[7,4,3,8,2,5,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,8,6,5,4,3]=>[7,2,8,1,3,4,5,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,7,6,1,8,5,4,2]=>[6,2,3,8,1,4,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,2,8,3,1,4,5,7]=>[3,7,1,6,8,5,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,7,8,3,1,4,5,6]=>[7,2,1,6,8,5,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,8,5,3,2,6,4]=>[8,2,1,4,6,7,3,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,5,3,2,8,6,7,4]=>[8,4,6,7,1,3,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,3,2,6,7,4]=>[8,1,4,6,7,3,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,7,8,5,6,3,2,4]=>[8,2,1,4,3,6,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,6,3,2,7,4]=>[8,1,4,3,6,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,8,6,7,3,2,4]=>[8,4,1,3,2,6,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,6,7,3,2,8,4]=>[8,4,3,2,6,7,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,7,5,2,3,4,8,6]=>[8,2,4,7,6,5,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,5,2,4,8,6,3]=>[8,2,4,7,5,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,8,6,2,3,5,7]=>[8,5,1,3,7,6,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,8,3,2,4,5,6]=>[8,2,1,6,7,5,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,4,5,8,6,7,2,3]=>[8,5,4,1,3,2,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,8,4,5,6,7,2,3]=>[8,1,5,4,3,2,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,8,6,7,4,3,5]=>[8,7,1,3,2,5,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,6,3,4,5,7]=>[8,7,1,3,6,5,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,2,7,4,3,8,5,6]=>[8,7,2,5,6,1,4,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,7,8,4,2,3,5]=>[8,3,2,1,5,7,6,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,6,7,3,5,2,8,4]=>[8,3,2,6,4,7,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,7,8,3,4,2,5]=>[8,3,2,1,6,5,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,7,8,5,6,2,3,4]=>[8,2,1,4,3,7,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,6,2,3,5,7,4]=>[8,1,3,7,6,4,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,4,2,3,8,5,6]=>[8,2,5,7,6,1,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,8,4,2,3,5,6]=>[8,2,1,5,7,6,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,3,5,6,2,8,4]=>[8,2,6,4,3,7,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,3,4,2,5,6]=>[8,2,1,6,5,7,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,8,6,7,2,3,4]=>[8,4,1,3,2,7,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,7,4,6,3,8,5]=>[8,7,2,5,3,6,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,8,6,7,3,4,5]=>[8,7,1,3,2,6,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,4,5,2,3,8,6]=>[8,2,5,4,7,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,8,3,4,5,2,6]=>[8,2,1,6,5,4,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,4,5,6,2,3,7]=>[8,1,5,4,3,7,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,2,5,6,3,4,1,7]=>[1,7,4,3,6,5,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,7,3,4,1,6]=>[4,1,7,2,6,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,7,2,3,4,1,5]=>[3,1,2,7,6,5,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,7,5,2,6,1,4]=>[6,1,2,4,7,3,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,2,3,6,4,5,1,7]=>[1,7,6,3,5,4,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,4,6,3,5,1,7]=>[1,7,5,3,6,4,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,2,7,8,5,1,6]=>[6,5,7,2,1,4,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,7,3,2,5,1,6]=>[5,1,2,6,7,4,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,4,2,6,7,3,1]=>[4,1,5,7,3,2,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,3,8,1,6,7,4,2]=>[4,6,1,8,3,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,2,8,1,6,4,7,3]=>[4,7,1,8,3,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,2,1,3,7,6,4]=>[4,1,7,8,6,2,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,3,4,1,2,6,5,7]=>[1,6,5,8,7,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,3,2,8,5,7,6]=>[8,5,6,7,1,4,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,2,6,4,7,3]=>[4,8,1,7,3,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,3,6,7,4,2]=>[4,8,1,6,3,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,2,8,3,6,7,4,1]=>[4,7,1,6,3,2,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,8,4,6,2,7,5]=>[6,8,1,5,3,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,7,6,4,3,5,2]=>[8,1,2,3,5,6,4,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,1,4,7,5,8,2,6]=>[6,8,5,2,4,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,5,6,8,4,2]=>[6,8,2,4,3,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,8,7,5,3,4,2]=>[3,8,1,2,4,6,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,1,8,7,5,4,2,3]=>[3,8,1,2,4,5,7,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,3,5,6,1,4,2,7]=>[1,6,4,3,8,5,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,7,3,2,4,1,5]=>[3,1,2,6,7,5,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,3,7,5,6,8,4,1]=>[7,6,2,4,3,1,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,2,4,7,5,8,1,6]=>[6,7,5,2,4,1,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,7,6,5,3,1,4]=>[7,1,2,3,4,6,8,5]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [2,8,7,6,4,5,1,3]=>[7,1,2,3,5,4,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,7,6,4,1,5,2]=>[6,1,2,3,5,8,4,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,8,7,6,4,2,5,1]=>[6,1,2,3,5,7,4,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,3,4,7,5,2,8,6]=>[8,6,5,2,4,7,1,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,7,4,6,8,1,5]=>[7,6,2,5,3,1,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,7,6,2,5,1,3]=>[5,1,2,3,7,4,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,7,6,3,1,5,2]=>[5,1,2,3,6,8,4,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,5,2,4,7,6,8,1]=>[6,4,7,5,2,3,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,2,8,4,6,1]=>[2,6,4,7,1,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,2,7,4,6,8,1]=>[6,4,7,2,5,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,5,7,4,6,8,1]=>[6,7,4,2,5,3,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,7,5,4,8,6,1]=>[6,7,2,4,5,1,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,7,5,2,4,8,6,1]=>[6,2,4,7,5,1,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,3,5,1,6,4,7,2]=>[1,6,4,8,3,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,6,1,3,7,2]=>[1,5,4,3,8,6,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,7,6,8,2,5,1]=>[6,5,2,3,1,7,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,2,1,4,6,7]=>[6,1,4,7,8,5,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,1,6,7,3,4,2,5]=>[1,8,3,2,6,5,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,6,8,1,2,5,4,3]=>[2,3,1,8,7,4,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,3,4,8,5,7,6]=>[7,8,6,5,1,4,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,2,6,8,3,4]=>[4,2,8,7,3,1,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,3,6,8,7,4]=>[8,4,7,6,3,1,2,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,4,5,2,8,1,6]=>[6,2,5,4,7,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,4,3,1,8,5,6]=>[7,2,5,6,8,1,4,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,7,4,1,8,2,6]=>[6,4,2,5,8,1,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,6,8,3,1,7]=>[7,4,5,3,1,6,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,3,6,4,1,2,5,7]=>[1,6,3,5,8,7,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,4,6,5,8,2,1,3]=>[2,5,3,4,1,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,2,5,8,7,4,3]=>[8,3,7,4,1,2,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,7,4,5,6,2,8,1]=>[6,2,5,4,3,7,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,5,6,4,1,7]=>[7,6,1,4,3,5,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,8,6,1,3,5]=>[7,2,5,1,3,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,4,3,1,6,5,7]=>[7,1,5,6,8,3,4,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,8,2,3,1,5,7]=>[3,5,1,7,6,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,4,6,1,5,2,7]=>[6,1,5,3,8,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,8,2,6,3,7]=>[5,4,8,1,7,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,8,4,3,2,7,5]=>[3,8,1,5,6,7,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,5,6,3,4,7,2]=>[1,8,4,3,6,5,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,5,7,6,3,1,4]=>[7,1,4,2,3,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,3,5,6,1,4,7,2]=>[1,6,4,3,8,5,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,8,3,6,2,7,1]=>[5,4,1,6,3,7,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,1,7,8,2,3]=>[4,3,5,8,2,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,6,4,8,7,3,2]=>[4,8,3,5,1,2,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,4,6,7,5,1,8,3]=>[7,5,3,2,4,8,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,8,7,4,1,5,3,2]=>[3,1,2,5,8,4,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,8,7,3,5,4,2,1]=>[3,1,2,6,4,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,1,2,8,5,7,4,6]=>[6,8,7,1,4,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,5,7,2,1,4,6]=>[1,6,4,2,7,8,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,3,8,5,7,4,6]=>[7,8,6,1,4,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,4,7,6,3,5,8]=>[7,8,5,2,3,6,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,4,5,3,8,1,6]=>[2,7,5,4,6,1,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,3,6,7,8,2]=>[5,4,8,6,3,2,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,1,7,6,3,4,8,2]=>[4,8,2,3,6,5,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,7,5,4,8,2,3]=>[3,8,2,4,5,1,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,2,1,6,8,4,5]=>[6,2,7,8,3,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,8,2,4,7,6,3]=>[8,4,1,7,5,2,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,1,6,4,7,3,2]=>[4,1,8,3,5,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,6,5,7,2,4,1]=>[6,1,3,4,2,7,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,4,7,3,5,2]=>[3,1,8,5,2,6,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,2,7,4,5,3]=>[8,3,1,7,2,5,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,1,8,4,3,6]=>[4,2,7,8,1,5,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,6,8,3,2,4]=>[4,2,8,3,1,6,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,2,1,8,3,4,7]=>[4,3,7,8,1,6,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,5,6,7,1,4,3]=>[1,7,4,3,2,8,5,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,6,8,3,1,5]=>[2,7,5,3,1,6,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,4,7,8,1,3,5]=>[3,7,5,2,1,8,6,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,4,3,2,8,5,7]=>[3,8,5,6,7,1,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,8,6,5,7,3,1]=>[7,5,1,3,4,2,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,8,4,7,5,1,3]=>[3,7,1,5,2,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,7,3,6,8,1,2]=>[5,4,2,6,3,1,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,7,8,6,5,1,2]=>[6,5,2,1,3,4,8,7]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,7,2,6,8,5,3]=>[8,5,2,7,3,1,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,7,6,5,1,4,8]=>[7,6,2,3,4,8,5,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,2,7,6,4,1,5,8]=>[6,7,2,3,5,8,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,8,1,2,5,6,4,3]=>[2,1,8,7,4,3,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,3,6,8,5,2,4]=>[2,8,6,3,1,4,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,5,1,6,3,7]=>[5,7,1,4,8,3,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,5,8,1,4,2,3,7]=>[3,4,1,8,5,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,2,4,5,1,6,7]=>[6,1,7,5,4,8,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,2,4,1,5,7,8]=>[6,3,7,5,8,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,8,4,1,6,5,7]=>[7,6,1,5,8,3,4,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,7,3,1,6,2,8]=>[5,4,2,6,8,3,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,1,4,8,5,7,6]=>[7,6,8,5,1,4,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,1,5,8,7,3]=>[5,7,3,8,4,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,8,5,7,6,4,2]=>[6,8,1,4,2,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,1,8,7,4,6,3,2]=>[4,8,1,2,5,3,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,6,2,5,1,4,7]=>[6,1,3,7,4,8,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,7,2,5,1,4,3]=>[3,1,2,7,4,8,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,8,6,1,4,3]=>[4,2,7,1,3,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,8,7,5,1,3,2]=>[3,5,1,2,4,8,6,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,2,8,7,4,1,3,5]=>[3,7,1,2,5,8,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,2,5,8,7,1,4,3]=>[3,7,4,1,2,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,8,6,5,1,3,7]=>[7,5,1,3,4,8,6,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,4,8,7,5,1,3,6]=>[7,5,1,2,4,8,6,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,5,7,6,1,8,4,2]=>[6,4,2,3,8,1,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,7,6,2,8,4,1]=>[6,4,2,3,7,1,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,7,6,1,8,3,4]=>[7,4,2,3,8,1,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,1,4,7,3,8,6,2]=>[4,8,5,2,6,1,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,8,7,2,5,4,6]=>[8,6,1,2,7,4,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,6,2,8,7,4,3]=>[8,4,3,7,1,2,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,3,8,7,6,4,1]=>[7,4,6,1,2,3,5,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,5,3,2,8,7,6,4]=>[8,4,6,7,1,2,3,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,1,4,3,8,7,5,2]=>[3,8,5,6,1,2,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,2,4,1,8,7,5,3]=>[3,7,5,8,1,2,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,1,8,7,5,2,6]=>[6,5,8,1,2,4,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,2,8,7,6,3,1]=>[5,4,7,1,2,3,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,2,5,1,8,6,3,7]=>[5,7,4,8,1,3,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,2,8,1,7,4,5]=>[6,3,7,1,8,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,8,5,1,7,3,6]=>[5,7,1,4,8,2,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,6,2,8,7,4,1]=>[4,6,3,7,1,2,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,3,5,2,1,8,7,4]=>[3,6,4,7,8,1,2,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,5,1,4,8,7,3]=>[3,7,4,8,5,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,4,1,3,7,6,5]=>[7,1,5,8,6,2,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,7,1,3,6,5,2]=>[5,1,2,8,6,3,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,2,7,3,8,6,5,1]=>[5,7,2,6,1,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,1,8,6,2,5,4,7]=>[6,8,1,3,7,4,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,1,8,3,6,5,4]=>[7,2,8,1,6,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,2,8,6,4,3,7]=>[4,8,7,1,3,5,6,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,3,8,7,5,4,1]=>[3,7,6,1,2,4,5,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,2,3,8,7,6,4,1]=>[4,7,6,1,2,3,5,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,8,1,3,7,6,4,5]=>[7,1,8,6,2,3,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,3,5,8,7,6,2]=>[5,8,6,4,1,2,3,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,7,8,3,4,1,5,6]=>[7,2,1,6,5,8,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,6,7,5,4,3,1]=>[7,1,3,2,4,5,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,2,6,8,1,4,3,5]=>[2,7,3,1,8,5,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,2,8,4,7,1]=>[4,6,3,7,1,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,3,7,4,5,2]=>[1,8,3,6,2,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,3,7,1,8,6,5]=>[7,5,6,2,8,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,2,7,4,1,5,3]=>[3,1,7,2,5,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,8,5,3,2,4]=>[3,8,2,1,4,6,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,6,5,4,7,1,8,3]=>[7,3,4,5,2,8,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,3,4,6,1,7,2]=>[4,1,6,5,3,8,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,7,1,5,4,2,3]=>[3,1,2,8,4,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,3,1,5,7,6,2]=>[5,1,6,8,4,2,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,3,8,2,7,1,6,4]=>[4,6,1,7,2,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,1,6,5,3,4]=>[1,7,2,8,3,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,4,8,2,7,1,6]=>[4,6,5,1,7,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,5,2,7,1,6]=>[1,6,5,4,7,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,7,1,5,2,8]=>[3,6,5,2,8,4,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,5,3,4,8,2]=>[3,2,8,4,6,5,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,4,7,1,6,8,2]=>[4,6,5,2,8,3,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,6,7,1,5,3,4]=>[1,7,3,2,8,4,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,7,1,5,2,6]=>[1,6,5,2,8,4,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,2,6,3,4,8]=>[2,8,4,7,3,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,1,5,2,6,8,4]=>[6,2,8,4,7,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,4,6,7,1,5,2]=>[1,6,5,3,2,8,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,8,3,4,5,2]=>[2,8,3,1,6,5,4,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,1,8,3,4,5,2]=>[3,2,8,1,6,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,4,8,7,1,5,2]=>[3,6,5,1,2,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,8,7,1,5,2,6]=>[6,5,1,2,8,4,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,8,4,6,7,1,5,2]=>[6,1,5,3,2,8,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,2,6,7,1,4]=>[6,1,4,7,3,2,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,4,8,5,2,6]=>[6,2,8,5,1,4,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,5,2,7,1,4,8]=>[6,3,4,7,2,8,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,7,1,5,2,8]=>[6,3,5,2,8,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,6,4,5,2,8]=>[6,2,8,3,5,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,5,2,7,1,6]=>[6,1,5,4,7,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,6,5,2,8,4]=>[6,2,8,3,4,7,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,5,2,8,3,4]=>[2,8,3,4,7,1,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,5,2,7,1,6,4]=>[1,6,4,7,2,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,8,5,2,7,1,6]=>[6,5,1,4,7,2,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,7,1,6,5,2,8]=>[6,5,2,8,3,4,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,2,8,6,3,4]=>[2,8,4,7,1,3,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,1,6,4,8,5,2]=>[6,2,8,3,5,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,6,4,7,1,5,2]=>[6,1,3,5,2,8,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,4,8,6,5,2]=>[6,2,8,5,1,3,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,7,1,4,5,2,8,6]=>[6,2,8,5,4,7,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,1,4,5,2,8]=>[6,3,2,8,5,4,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,2,6,7,1,4,8]=>[6,4,7,3,2,8,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,8,6,7,1,4]=>[6,4,7,1,3,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,8,7,1,4,5,2]=>[6,3,1,2,8,5,4,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,2,6,8,7,1,4]=>[6,4,7,3,1,2,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,7,6,5,8,1,4]=>[7,6,2,3,4,1,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,5,4,7,8,1,3]=>[7,3,4,5,2,1,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,7,6,8,2,1,4]=>[6,4,2,3,1,7,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,3,7,6,1,8]=>[5,7,4,6,2,3,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,5,3,6,4,1,7]=>[1,7,4,6,3,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,5,3,6,4,1,8]=>[2,7,4,6,3,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,5,3,7,4,1,8]=>[3,7,4,6,2,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,6,3,7,5,1,8]=>[5,7,3,6,2,4,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,7,3,6,4,1,8]=>[4,7,2,6,3,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,6,2,5,4,1,8]=>[2,6,3,7,4,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,7,2,5,4,1,6]=>[1,6,2,7,4,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,8,3,6,4,1,7]=>[4,7,1,6,3,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,8,4,6,5,1,7]=>[6,7,1,5,3,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,7,3,6,5,2,8]=>[8,5,2,6,3,4,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,5,4,1,6,3,7]=>[1,7,4,5,8,3,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,6,4,1,5,3,7]=>[1,7,3,5,8,4,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,8,3,7,5,2,6]=>[8,5,1,6,2,4,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,3,7,5,1,6]=>[5,7,1,6,2,4,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,8,3,7,4,1,6]=>[4,7,1,6,2,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,6,3,8,4,1,5]=>[2,7,3,6,1,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,7,3,8,4,1,6]=>[4,7,2,6,1,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,7,4,8,5,1,6]=>[6,7,2,5,1,4,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,5,3,8,4,1,7]=>[3,7,4,6,1,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,5,3,8,4,1,6]=>[2,7,4,6,1,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,5,3,7,4,1,6]=>[1,7,4,6,2,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,4,3,8,5,1,6]=>[2,7,5,6,1,4,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,4,3,8,5,1,7]=>[3,7,5,6,1,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,4,3,8,6,1,7]=>[4,7,5,6,1,3,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,5,3,8,6,1,7]=>[5,7,4,6,1,3,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,5,3,1,7,6,8]=>[5,7,4,6,8,2,3,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,4,3,1,7,5,8]=>[3,7,5,6,8,2,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,4,3,1,6,5,8]=>[2,7,5,6,8,3,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,2,4,7,6,3,8]=>[8,4,7,5,2,3,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,5,3,1,6,4,8]=>[2,7,4,6,8,3,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,5,3,1,7,4,8]=>[3,7,4,6,8,2,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,2,6,3,1,7,5,8]=>[5,7,3,6,8,2,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,6,4,1,7,5,8]=>[6,7,3,5,8,2,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,2,7,3,1,6,5,8]=>[5,7,2,6,8,3,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,7,3,1,6,4,8]=>[4,7,2,6,8,3,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,7,3,1,5,4,8]=>[3,7,2,6,8,4,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,2,4,8,6,3,7]=>[8,4,7,5,1,3,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,8,5,1,6,4,7]=>[6,7,1,4,8,3,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,8,4,1,5,3,7]=>[3,7,1,5,8,4,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,7,4,1,5,2,6]=>[1,6,2,5,8,4,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,3,2,5,6,4,8]=>[2,8,6,7,4,3,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,8,7,5,6,1,3]=>[5,7,1,2,4,3,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,1,7,4,5,6,3]=>[7,1,8,2,5,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,2,4,8,1,7]=>[3,6,4,7,5,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,2,8,7,4,3,6]=>[8,4,7,1,2,5,6,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,1,2,6,4,3,8]=>[4,2,8,7,3,5,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,5,7,4,3,6]=>[8,1,7,4,2,5,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,3,2,5,8,7]=>[8,3,5,6,7,4,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,6,7,1,4,3,8]=>[7,4,3,2,8,5,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,7,2,8,1,4,3,6]=>[4,2,7,1,8,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,7,1,4,3,6]=>[4,1,7,2,8,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,8,5,1,4,3,7]=>[3,7,1,4,8,5,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,1,6,3,2,4,5]=>[2,1,8,3,6,7,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,6,4,1,2,8,5]=>[2,6,3,5,8,7,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,3,7,8,4,1,5,6]=>[7,6,2,1,5,8,4,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,4,7,2,3,8,1,6]=>[4,5,2,7,6,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,3,1,5,2,7,6]=>[5,1,6,8,4,7,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,8,7,6,1,4]=>[7,6,4,1,2,3,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [7,3,5,1,4,6,2,8]=>[2,6,4,8,5,3,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,5,1,2,6,4,7]=>[6,1,4,8,7,3,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,6,5,8,4,3,7]=>[8,7,3,4,1,5,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,7,2,6,4,3,8]=>[4,8,2,7,3,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,5,3,2,6,8,4]=>[2,8,4,6,7,3,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,5,7,8,6,2,4]=>[6,8,4,2,1,3,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,7,2,6,4,3,5]=>[8,1,2,7,3,5,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,2,1,4,8,6]=>[2,6,4,7,8,5,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,6,3,8,7,4,5,1]=>[7,3,6,1,2,5,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,3,6,8,5,2,4]=>[8,2,6,3,1,4,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,2,4,7,3,6]=>[8,1,4,7,5,2,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,7,4,8,6,3]=>[7,4,8,2,5,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,6,7,3,5,2,1,4]=>[1,3,2,6,4,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,2,7,3,6,8,5]=>[8,5,7,2,6,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,2,1,5,8,6]=>[2,6,5,7,8,4,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,4,7,5,3,8,6,2]=>[8,5,2,4,6,1,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,6,7,4,1,5,2,3]=>[1,3,2,5,8,4,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,6,3,2,4,8,5]=>[8,2,3,6,7,5,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,7,8,6,4,1,5,3]=>[7,2,1,3,5,8,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,1,6,4,7,8,5,3]=>[7,8,3,5,2,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,3,2,4,7,8,5]=>[8,3,6,7,5,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,8,5,3,2,4,7,6]=>[8,1,4,6,7,5,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,8,2,5,1,4,3]=>[3,2,1,7,4,8,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,8,6,2,3,5,1]=>[2,5,1,3,7,6,4,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,5,7,8,1,4,3]=>[3,7,4,2,1,8,5,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,8,6,1,3,7]=>[7,5,4,1,3,8,6,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,7,1,8,4,2,5]=>[6,3,2,8,1,5,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,7,5,1,6,4,8]=>[7,6,2,4,8,3,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,3,5,1,8,4,7]=>[7,3,6,4,8,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,6,1,8,5,3]=>[2,7,5,3,8,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,7,6,2,4,5,8]=>[8,6,2,3,7,5,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,6,7,2,8,3,5,4]=>[8,3,2,7,1,6,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,8,4,5,6,1]=>[7,2,6,1,5,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,2,7,5,3,6,8]=>[8,5,7,2,4,6,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,8,2,7,4,5,6]=>[8,6,1,7,2,5,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,4,3,8,5,6,2]=>[2,8,5,6,1,4,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,1,8,5,7,2,6]=>[6,5,8,1,4,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,1,5,8,6,2,7]=>[6,5,8,4,1,3,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,2,7,8,3,4,1]=>[4,3,7,2,1,6,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,5,8,1,6,3,4]=>[2,7,4,1,8,3,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,8,1,5,7,2,3]=>[3,5,1,8,4,2,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,4,2,6,3,7,1]=>[4,1,5,7,3,6,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,5,1,4,7,8,3]=>[3,7,4,8,5,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,4,1,3,6,8,5]=>[7,2,5,8,6,3,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,1,2,6,4,8,3]=>[4,2,8,7,3,5,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,2,3,7,6,4]=>[4,8,1,7,6,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,8,5,2,4,7,6]=>[6,8,1,4,7,5,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,1,3,7,4,6,5]=>[7,1,8,6,2,5,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,8,4,5,7,1]=>[3,7,6,1,5,4,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,3,4,8,7,5]=>[7,3,8,6,5,1,2,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,2,6,3,5,7,8,4]=>[8,7,3,6,4,2,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,1,5,4,7,3,8]=>[7,3,8,4,5,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,8,5,4,6,3,7]=>[8,7,1,4,5,3,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,6,8,4,5,7,2]=>[8,6,3,1,5,4,2,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,2,8,4,6,3,7,5]=>[8,7,1,5,3,6,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,5,7,8,1,2]=>[5,3,6,4,2,1,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,7,6,5,1,4,8,3]=>[7,2,3,4,8,5,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,3,6,8,4,1,7,5]=>[7,6,3,1,5,8,2,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,6,8,4,7,5,3]=>[8,7,3,1,5,2,4,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,7,2,8,6,3,5,4]=>[8,2,7,1,3,6,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,8,5,4,7,1,6]=>[7,6,1,4,5,2,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,1,4,8,3,7,5]=>[7,3,8,5,1,6,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,5,2,1,4,8]=>[6,2,3,4,7,8,5,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,3,5,8,7,1,6,4]=>[7,6,4,1,2,8,3,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,2,4,8,7,3,1,6]=>[4,7,5,1,2,6,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,7,6,1,8,2,4]=>[6,4,2,3,8,1,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,7,3,1,2,8,4]=>[3,4,2,6,8,7,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,2,4,1,7,6,5]=>[6,1,7,5,8,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,8,2,6,7,1,4]=>[6,4,1,7,3,2,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,5,7,1,2,8,4,3]=>[3,4,2,8,7,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,4,6,7,8,1,5]=>[6,7,5,3,2,1,8,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,4,1,5,6,8]=>[6,2,7,5,8,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,4,6,7,1,5,8]=>[6,7,5,3,2,8,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,2,6,4,3,8]=>[2,8,4,7,3,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,5,2,6,1,4,7]=>[1,6,4,7,3,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,1,3,8,7,4,2]=>[4,3,8,6,1,2,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,5,6,2,7,4,3]=>[8,1,4,3,7,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,5,2,6,7,1,4]=>[1,6,4,7,3,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,2,4,6,1,5,8]=>[6,2,7,5,3,8,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,7,1,5,6,8]=>[6,7,5,2,8,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,2,4,1,5,6,7]=>[6,1,7,5,8,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,3,5,7,2,6,1,4]=>[1,6,4,2,7,3,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,7,6,1,8,5,3]=>[5,7,2,3,8,1,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,4,8,6,3,5,1]=>[2,7,5,1,3,6,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,2,1,8,4,7,6]=>[6,4,7,8,1,5,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,2,1,8,4,7]=>[6,3,4,7,8,1,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,8,4,2,5,1,7]=>[3,6,1,5,7,4,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,2,4,3,5,8,1]=>[3,2,7,5,6,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,7,4,2,5,1,8]=>[6,3,2,5,7,4,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,4,7,3,2,1,5,8]=>[3,5,2,6,7,8,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,3,6,2,1,7,4,8]=>[4,6,3,7,8,2,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,6,5,1,7,4,8]=>[6,7,3,4,8,2,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,3,7,2,1,6,8]=>[5,4,6,2,7,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,8,2,1,5,7,6]=>[5,6,1,7,8,4,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,5,8,3,2,7,1,6]=>[5,4,1,6,7,2,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,8,3,4,7,2,1,6]=>[4,1,6,5,2,7,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,5,2,7,3,4,1]=>[3,1,4,7,2,6,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,6,1,8,7,3]=>[7,4,5,3,8,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,2,1,7,8,4]=>[4,6,3,7,8,2,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,7,4,8,2,1,5]=>[6,3,2,5,1,7,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,2,4,8,3,5,1]=>[3,2,7,5,1,6,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,8,2,3,6,1]=>[4,5,2,1,7,6,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,8,2,1,6,7,5]=>[5,6,1,7,8,3,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,5,3,2,6,8,1,7]=>[5,4,6,7,3,1,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,7,4,5,2,8,1]=>[6,3,2,5,4,7,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,7,5,6,2,8,1]=>[6,5,2,4,3,7,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,4,6,2,8,1]=>[6,4,2,5,3,7,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,3,7,6,8,1]=>[5,4,7,6,2,3,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,1,7,8,4,2]=>[3,6,4,8,2,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,7,6,2,4,8,1]=>[4,6,2,3,7,5,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,7,6,3,4,8,1]=>[4,7,2,3,6,5,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,7,6,4,3,8,1]=>[4,7,2,3,5,6,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,6,7,2,5,3,8,1]=>[5,3,2,7,4,6,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,3,5,2,8,1]=>[5,3,2,6,4,7,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,7,6,4,2,8,1]=>[4,6,2,3,5,7,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,4,7,8,3,1,5,2]=>[3,5,2,1,6,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,7,3,1,5,6,2]=>[1,5,2,6,8,4,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,4,8,6,2,5,1,3]=>[2,5,1,3,7,4,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,8,1,3,5,2]=>[3,5,2,1,8,6,4,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,7,3,8,1,4,2]=>[4,3,2,6,1,8,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,7,6,4,2,3]=>[4,1,8,2,3,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,6,7,8,5,4,1,3]=>[7,3,2,1,4,5,8,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,7,8,5,4,2,3]=>[8,3,2,1,4,5,7,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,6,7,1,8,3,4,2]=>[4,3,2,8,1,6,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,7,8,3,4,5,2]=>[3,8,2,1,6,5,4,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,6,2,5,4,3]=>[2,8,1,3,7,4,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,5,8,2,6,4,7,3]=>[8,4,1,7,3,5,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,3,7,8,4,2]=>[3,8,4,6,2,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,5,7,4,6,8,3,2]=>[8,4,2,5,3,1,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,7,5,6,8,3,2]=>[8,5,2,4,3,1,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,7,4,5,8,3,2]=>[8,3,2,5,4,1,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,7,4,8,1,3,2]=>[4,3,2,5,1,8,6,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,7,5,8,1,3,2]=>[3,5,2,4,1,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,2,6,4,5,7,3]=>[1,8,7,3,5,4,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,1,7,2,5,6,3]=>[5,1,8,2,7,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,7,1,5,4,8,3]=>[7,3,2,8,4,5,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,1,6,4,5,7,3]=>[7,1,8,3,5,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,7,6,5,3,1,4]=>[1,7,2,3,4,6,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,3,7,6,5,1,2,4]=>[1,6,2,3,4,8,7,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,8,2,6,4,5,7,3]=>[8,1,7,3,5,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,2,5,6,4,8,3]=>[2,8,7,4,3,5,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,7,2,5,4,8,3]=>[8,3,2,7,4,5,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,7,6,5,8,1,4]=>[6,7,2,3,4,1,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,7,6,5,2,8,4]=>[8,6,2,3,4,7,1,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,3,7,6,5,2,1,4]=>[1,6,2,3,4,7,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,1,8,4,5,6,3,2]=>[2,8,1,5,4,3,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,3,2,5,8,1,4]=>[3,2,6,7,4,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,8,4,5,3,7,2]=>[3,8,1,5,4,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,4,6,2,8,7,3]=>[4,8,5,3,7,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,5,2,1,6,8,4]=>[2,6,4,7,8,3,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,5,6,3,8,1,7,4]=>[7,4,3,6,1,8,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,8,7,4,6,3,2]=>[8,4,1,2,5,3,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,2,1,3,6,8,4]=>[4,2,7,8,6,3,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,7,5,3,6,1,4]=>[7,1,2,4,6,3,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,3,8,1,5,4]=>[7,2,3,6,1,8,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,6,1,7,8,5]=>[6,5,7,3,8,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,2,6,8,1,5,4]=>[6,2,7,3,1,8,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,8,6,5,1,3,2]=>[2,5,1,3,4,8,6,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,7,6,8,5,1,4,3]=>[7,2,3,1,4,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,4,5,7,3,8,2]=>[8,3,5,4,2,6,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,7,8,6,2,3]=>[8,4,5,2,1,3,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,6,8,5,2,4,3]=>[2,8,3,1,4,7,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,8,7,6,4,1,2]=>[6,4,1,2,3,5,8,7]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,1,5,8,6,2,4,3]=>[2,8,4,1,3,7,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,7,8,6,2,4,3]=>[8,4,2,1,3,7,5,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,7,5,8,6,1,4,3]=>[7,2,4,1,3,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,2,1,7,8,5]=>[5,6,3,7,8,2,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,6,4,7,3,5,8,2]=>[8,3,5,2,6,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,2,3,1,7,8,5]=>[5,3,7,6,8,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,2,1,4,7,8,5]=>[6,3,7,8,5,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,2,7,5,4,3,1]=>[3,1,7,2,4,5,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,8,1,7,6,4,3,2]=>[4,1,8,2,3,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,7,3,6,1,8,5,2]=>[5,2,6,3,8,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,6,3,7,4,2,5]=>[1,8,3,6,2,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,8,2,6,7,1,4]=>[4,6,1,7,3,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,4,6,3,7,1,5]=>[1,7,5,3,6,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,4,3,5,8,1]=>[2,7,3,5,6,4,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,6,2,4,5,8,1]=>[2,6,3,7,5,4,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,3,7,2,1,4,6,5]=>[1,6,2,7,8,5,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,5,7,4,3,8,1]=>[3,7,4,2,5,6,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,4,8,5,1,6,3]=>[2,7,5,1,4,8,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,6,8,5,1,3]=>[5,7,2,3,1,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,6,2,8,5,4,3]=>[2,8,3,7,1,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,1,6,3,8,5,2,4]=>[2,8,3,6,1,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,6,8,1,3,5,4]=>[2,7,3,1,8,6,4,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,5,3,2,6,4]=>[2,8,1,4,6,7,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,8,2,5,6,4,3]=>[2,8,1,7,4,3,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,5,8,7,2,4,3]=>[3,8,4,1,2,7,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,5,7,4,8,3,2]=>[3,8,4,2,5,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,5,7,8,3,4,2]=>[3,8,4,2,1,6,5,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,3,1,8,5,2]=>[5,3,2,6,8,1,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,2,6,3,1,8,7,5]=>[5,7,3,6,8,1,2,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,5,3,8,4,6,2,7]=>[8,4,6,1,5,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,3,5,8,4,1,6]=>[2,7,6,4,1,5,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,6,4,8,5,3,2]=>[8,2,3,5,1,4,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [8,2,3,5,1,4,6,7]=>[1,7,6,4,8,5,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,4,8,3,6,2,5]=>[2,8,5,1,6,3,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,5,7,6,2,3]=>[5,8,1,4,2,3,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,5,8,4,2,1,6]=>[6,2,4,1,5,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,1,5,8,3,4,2,7]=>[3,8,4,1,6,5,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,1,3,2,4,8]=>[3,2,4,8,6,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,6,1,7,3,4,8]=>[4,7,3,8,2,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,6,8,3,7,1,5]=>[5,7,3,1,6,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,1,4,2,3,7]=>[3,1,4,8,5,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,4,5,1,3,6,2]=>[2,1,5,4,8,6,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,8,5,3,4,6,2]=>[8,2,1,4,6,5,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,8,3,6,4,7,2]=>[8,4,1,6,3,5,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,8,1,4,2,7,5]=>[3,6,1,8,5,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,1,5,6,3,7,2]=>[5,1,8,4,3,6,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,2,6,5,3,7,4]=>[8,1,7,3,4,6,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,1,7,2,6,5,4]=>[6,1,8,2,7,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,8,1,2,6,5,4]=>[2,6,1,8,7,3,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,4,2,3,5,7,6]=>[1,8,5,7,6,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,2,4,6,5,7,3]=>[1,8,7,5,3,4,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,8,3,5,4,7,1]=>[3,7,1,6,4,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,8,2,5,4,7,3]=>[3,8,1,7,4,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,2,5,4,6,1]=>[1,6,2,7,4,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,3,7,4,6,2]=>[4,8,1,6,2,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,1,5,4,6,2]=>[1,6,2,8,4,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,7,1,5,3,6,2]=>[1,5,2,8,4,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,5,3,4,6,1,8]=>[2,7,4,6,5,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,4,6,2,5,7,1]=>[6,1,5,3,7,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,2,6,3,4,8,5]=>[8,2,7,3,6,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,2,6,3,4,5,8]=>[2,8,7,3,6,5,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,6,5,4,2,3,8]=>[2,8,3,4,5,7,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,8,4,3,1,7,2,6]=>[4,1,5,6,8,2,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,1,7,6,3,5,8,4]=>[7,8,2,3,6,4,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,8,5,2,4,7,1]=>[6,3,1,4,7,5,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,8,4,3,2,6,1]=>[4,2,1,5,6,7,3,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,4,8,6,5,7,3,2]=>[8,5,1,3,4,2,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,8,4,7,2,6,5]=>[8,6,1,5,2,7,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,3,4,7,1,6]=>[7,4,1,6,5,2,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,7,1,5,8,6,3]=>[5,7,2,8,4,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,7,4,3,8,5,2]=>[3,8,2,5,6,1,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,3,7,4,8,5,6,2]=>[8,6,2,5,1,4,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,3,2,8,5,4]=>[3,2,8,6,7,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,2,1,6,8,5,4]=>[6,2,7,8,3,1,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,3,2,6,8,4,7]=>[8,4,6,7,3,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,4,2,3,6,8,7]=>[4,8,5,7,6,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,7,6,5,8,2,4,1]=>[6,2,3,4,1,7,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,2,8,6,1,3]=>[4,2,5,7,1,3,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,7,8,6,1,4,5]=>[7,6,2,1,3,8,5,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,7,8,6,2,4,3,1]=>[4,2,1,3,7,5,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,5,1,4,7,3,8]=>[3,7,4,8,5,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,7,1,4,2,3,6]=>[4,1,2,8,5,7,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,7,1,4,5,8]=>[7,3,6,2,8,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,3,5,4,1,6,7]=>[1,7,6,4,5,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,3,7,8,2,4,5]=>[3,8,6,2,1,7,5,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,6,8,4,3,1,5,2]=>[2,3,1,5,6,8,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,8,6,1,4,2,5,7]=>[6,1,3,8,5,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,6,5,3,2,4,8]=>[8,2,3,4,6,7,5,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,7,6,5,4,1,3,8]=>[7,2,3,4,5,8,6,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [2,8,6,4,5,1,3,7]=>[7,1,3,5,4,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,6,8,5,3,1,4,2]=>[2,3,1,4,6,8,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,8,2,5,4,6,1,7]=>[6,1,7,4,5,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,3,6,4,1,7,8]=>[4,7,6,3,5,8,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,2,6,7,3,4,5]=>[1,8,7,3,2,6,5,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,5,8,4,1,7]=>[3,7,6,4,1,5,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,1,5,8,3,2]=>[5,2,3,8,4,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,6,8,2,4,3,7]=>[8,4,3,1,7,5,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,1,6,5,3,8,2,4]=>[2,8,3,4,6,1,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,7,1,5,4,3,2]=>[3,1,2,8,4,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,3,6,4,8,7,1]=>[7,4,6,3,5,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,3,7,4,8,6,1]=>[7,4,6,2,5,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,2,1,8,5,6]=>[5,6,2,7,8,1,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,4,3,2,8,5,6]=>[8,2,5,6,7,1,4,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,6,3,5,8,1,2]=>[2,5,3,6,4,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,6,1,5,8,3,4]=>[2,7,3,8,4,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,6,1,8,5,4,3]=>[2,7,3,8,1,4,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,7,3,8,6,2,5,1]=>[5,2,6,1,3,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,3,6,8,2,1,5]=>[5,2,6,3,1,7,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,4,7,3,8,2,1,6]=>[4,5,2,6,1,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,7,2,4,6,5,1]=>[1,6,2,7,5,3,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,3,6,4,2,5,1,8]=>[2,6,3,5,7,4,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,6,8,5,7,4,2]=>[8,6,3,1,4,2,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,3,6,2,8,5,4,1]=>[2,6,3,7,1,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,4,6,8,3,5,2,1]=>[2,5,3,1,6,4,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,7,2,6,1,8]=>[5,6,4,2,7,3,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,8,3,7,2,1]=>[4,5,3,1,6,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,8,5,7,4,6,2]=>[8,6,1,4,2,5,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,5,7,1,4,3]=>[3,1,7,4,2,8,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,4,6,1,3,8]=>[4,2,7,5,3,8,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,8,6,2,7,5,1,4]=>[6,1,3,7,2,4,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,4,2,7,3,6,1]=>[4,1,5,7,2,6,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,6,3,5,2,4,7]=>[8,1,3,6,4,7,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,5,2,4,6,3,7]=>[1,8,4,7,5,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,5,7,2,3,8,4]=>[3,8,4,2,7,6,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,5,7,2,4,6,1,3]=>[1,4,2,7,5,3,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,3,7,2,5,8,4]=>[3,8,6,2,7,4,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,5,1,4,7,3,6]=>[1,7,4,8,5,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,3,6,4,2,5,7]=>[1,8,6,3,5,7,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,6,7,4,1,2,5]=>[1,6,3,2,5,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,8,3,6,4,2,5]=>[8,2,1,6,3,5,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,8,5,6,4,2,3]=>[8,2,1,4,3,5,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,7,5,8,2,4,6]=>[6,8,2,4,1,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,3,2,4,6,5,7]=>[1,8,6,7,5,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,6,5,8,1,4,7]=>[6,7,3,4,1,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,3,7,4,1,5,6]=>[1,7,6,2,5,8,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,5,6,4,2,3,7]=>[1,8,4,3,5,7,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,8,1,6,4,2,7]=>[6,4,1,8,3,5,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,2,7,4,1,6]=>[6,4,1,7,2,5,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,7,5,4,3,1,6]=>[1,7,2,4,5,6,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,1,6,5,4,3,2,7]=>[1,8,3,4,5,6,7,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,6,8,1,5,4,3,7]=>[7,3,1,8,4,5,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,2,1,4,7,6]=>[6,4,1,7,8,5,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,2,7,5,3,8,6,1]=>[5,7,2,4,6,1,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,5,1,8,3,2,7]=>[3,5,4,8,1,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,7,8,3,1,2,6]=>[4,5,2,1,6,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,8,1,3,7,2,6]=>[5,4,1,8,6,2,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,6,8,7,2,4]=>[8,4,6,3,1,2,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,2,6,8,3,5,1]=>[5,2,7,3,1,6,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,8,7,6,2,4]=>[6,8,4,1,2,3,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,8,6,5,7,2,4]=>[6,8,1,3,4,2,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,7,6,4,5,8,3]=>[8,7,2,3,5,4,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,2,8,5,6,3,1,7]=>[5,7,1,4,3,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,3,2,5,1,6,8]=>[5,2,6,7,4,8,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,5,1,7,8,4,3]=>[3,7,4,8,2,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,5,8,7,4,1,3]=>[3,7,4,1,2,5,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,5,3,8,1,4,6]=>[2,7,4,6,1,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,5,3,8,4,6,1]=>[2,7,4,6,1,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,5,2,6,1,4,8]=>[6,2,4,7,3,8,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,8,1,7,4,5,2]=>[6,3,1,8,2,5,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,1,8,7,2,5]=>[3,6,5,8,1,2,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,3,2,5,8,1,6]=>[5,2,6,7,4,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,7,6,2,4,8,3]=>[4,8,2,3,7,5,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,7,3,1,6,8,2]=>[4,5,2,6,8,3,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,4,8,1,6,5,2,7]=>[6,5,1,8,3,4,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,6,1,8,3,2,4]=>[2,4,3,8,1,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,6,2,7,3,1,8]=>[5,4,3,7,2,6,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,4,7,1,6,2,8]=>[4,6,5,2,8,3,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,2,1,6,8,4]=>[4,6,2,7,8,3,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,5,1,4,6,8,2,7]=>[6,4,8,5,3,1,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,3,7,1,6,5,2,8]=>[5,6,2,8,3,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,7,4,2,1,3,6]=>[1,4,2,5,7,8,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,5,8,4,2,7,1,3]=>[3,4,1,5,7,2,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,3,7,4,1,8,6,5]=>[7,6,2,5,8,1,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,5,1,8,6,3,7]=>[7,5,4,8,1,3,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,6,7,5,3,8]=>[7,5,8,3,2,4,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,7,1,5,2,4,8]=>[3,6,2,8,4,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,3,7,8,2,6,5]=>[5,8,6,2,1,7,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,8,6,5,2,3]=>[2,8,5,1,3,4,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,3,4,2,1,7,5,6]=>[1,6,5,7,8,2,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,5,3,8,6,7,2]=>[8,5,4,6,1,3,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,7,5,8,1,3]=>[5,3,7,2,4,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,4,2,3,5,6]=>[2,1,8,5,7,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,2,4,3,6,8,7]=>[4,8,7,5,6,3,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,8,7,1,5,4,6]=>[7,6,1,2,8,4,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,1,3,6,7,2,8,5]=>[5,8,6,3,2,7,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,4,5,8,2,6,3]=>[2,8,5,4,1,7,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,2,4,5,8,7]=>[3,8,6,7,5,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,8,1,6,5,2,4,3]=>[2,1,8,3,4,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,8,5,1,3,2,6]=>[2,5,1,4,8,6,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,8,6,5,1,2,3]=>[2,5,1,3,4,8,7,6]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,8,1,7,6,3,5,4]=>[7,1,8,2,3,6,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,8,6,5,1,2,4]=>[6,2,1,3,4,8,7,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,8,2,6,3,1,4]=>[4,2,1,7,3,6,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,2,5,3,1,6]=>[5,2,1,7,4,6,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,4,5,7,2,6,3,1]=>[1,5,4,2,7,3,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,8,6,1,3,2,7]=>[5,4,1,3,8,6,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,8,7,1,5,2,4]=>[6,3,1,2,8,4,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,8,2,7,3,1,4]=>[4,3,1,7,2,6,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,3,1,7,5,2,6]=>[5,1,6,8,2,4,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,8,2,7,3,1,4]=>[3,4,1,7,2,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,8,2,7,3,1,5]=>[3,5,1,7,2,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,8,3,1,6,4,2,5]=>[2,1,6,8,3,5,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,6,3,4,5,1,7]=>[7,1,3,6,5,4,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,1,3,6,4,2,5]=>[2,1,8,6,3,5,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,1,3,7,4,2,5]=>[3,1,8,6,2,5,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,8,6,1,4,2,7]=>[4,6,1,3,8,5,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,1,3,7,4,2,6]=>[4,1,8,6,2,5,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,8,2,7,4,1,6]=>[4,6,1,7,2,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,8,2,7,5,1,6]=>[5,6,1,7,2,4,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,7,8,3,2,1,6]=>[5,4,2,1,6,7,8,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,7,3,4,2,6,8,1]=>[4,2,6,5,7,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,4,2,3,6,8,1]=>[4,2,5,7,6,3,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,4,7,3,2,8,1,6]=>[4,5,2,6,7,1,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,3,4,6,1,2,7]=>[4,1,6,5,3,8,7,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,4,8,2,3,5,1,7]=>[3,5,1,7,6,4,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,6,8,2,3,1,7]=>[4,5,3,1,7,6,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,8,4,1,2,3,7]=>[4,3,1,5,8,7,6,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,4,8,5,1,2,3,7]=>[3,5,1,4,8,7,6,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,4,8,3,1,2,5,6]=>[2,5,1,6,8,7,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,7,8,2,3,1,4,6]=>[4,2,1,7,6,8,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,7,8,2,1,3,6]=>[4,5,2,1,7,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,6,3,1,2,4,7]=>[4,1,3,6,8,7,5,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,6,1,3,2,4,8,7]=>[4,3,8,6,7,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,1,2,7,6,4,8]=>[6,4,8,7,2,3,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,3,7,2,6,5,8]=>[5,8,6,2,7,3,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,1,2,5,8,7]=>[5,6,3,8,7,4,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,5,4,6,2,7,3]=>[1,8,4,5,3,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,8,1,2,5,7,6]=>[5,6,1,8,7,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,3,2,8,5,7,1]=>[5,3,6,7,1,4,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,2,6,8,5,7]=>[8,5,6,7,3,1,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,7,2,1,8,6,4]=>[4,6,2,7,8,1,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,4,8,3,7,2,1,6]=>[4,5,1,6,2,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,8,5,2,1,7,4]=>[6,3,1,4,7,8,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,1,5,4,7,2,8,3]=>[3,8,4,5,2,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,3,6,5,8,2,7,4]=>[8,6,3,4,1,7,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,6,2,8,5,7]=>[8,5,6,3,7,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,8,2,7,5,1]=>[5,6,3,1,7,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,5,3,2,8,4,7]=>[8,3,4,6,7,1,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,5,3,2,7,8,6,4]=>[8,4,6,7,2,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,8,3,2,7,1,6]=>[4,5,1,6,7,2,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,5,4,7,2,8,3]=>[8,3,4,5,2,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,7,2,1,8,4]=>[6,3,4,2,7,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,8,6,3,2,7,5]=>[8,5,1,3,6,7,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,8,3,6,5,4,1,7]=>[7,1,6,3,4,5,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,8,6,2,5,7,3]=>[5,8,1,3,7,4,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,7,6,2,5,1,8,3]=>[5,2,3,7,4,8,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,4,6,2,8,3]=>[8,4,2,5,3,7,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,2,8,6,4,7]=>[8,6,4,7,1,3,5,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,8,1,7,4,5,3]=>[3,7,1,8,2,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,6,3,8,4,2,5]=>[8,2,3,6,1,5,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,4,6,8,3,1,7]=>[4,7,5,3,1,6,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,3,5,4,8,7]=>[3,8,7,6,4,5,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,3,7,8,1,6]=>[7,4,5,6,2,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,6,8,3,5,4,2]=>[2,8,3,1,6,4,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,3,1,5,8,7,4]=>[7,3,6,8,4,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,2,3,5,4,8,7]=>[8,3,7,6,4,5,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,3,4,6,8,5]=>[7,2,8,6,5,3,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [6,1,3,5,8,7,4,2]=>[3,8,6,4,1,2,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,8,7,4,6,2,1]=>[6,4,1,2,5,3,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,8,5,7,3,4,2,1]=>[3,1,4,2,6,5,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,8,4,2,1,7]=>[4,6,3,1,5,7,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,6,8,4,7,3,2]=>[4,8,3,1,5,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,1,8,7,6,3,5]=>[7,5,8,1,2,3,6,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,5,8,4,7,2,6]=>[8,6,4,1,5,2,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,8,7,5,1,6,4]=>[7,6,1,2,4,8,3,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,8,7,2,4,1,3,6]=>[4,1,2,7,5,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,5,6,2,8,7]=>[5,8,6,4,3,7,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,8,5,1,7,4,2]=>[3,6,1,4,8,2,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,4,6,1,3,7,5]=>[1,7,5,3,8,6,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,8,7,3,5,2,1]=>[3,5,1,2,6,4,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,3,5,6,1,4,7]=>[1,7,6,4,3,8,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,5,6,8,2,7,1]=>[5,6,4,3,1,7,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,4,6,1,7,5]=>[1,7,6,5,3,8,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,3,5,2,8,6]=>[8,2,5,6,4,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,3,8,1,5,6]=>[7,2,5,6,1,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,2,7,6,4,1,5]=>[6,1,7,2,3,5,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,6,2,1,8,4,7]=>[4,6,3,7,8,1,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,8,6,2,7,1,5]=>[5,6,1,3,7,2,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,6,8,2,7,5,4]=>[6,8,3,1,7,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,8,6,7,2,1,4]=>[4,6,1,3,2,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,7,2,4,6,1,3]=>[4,1,2,7,5,3,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,8,7,6,4,3]=>[8,4,7,1,2,3,5,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,7,1,4,6,5,3,8]=>[7,2,8,5,3,4,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,1,2,6,5,8,3]=>[5,2,8,7,3,4,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,6,8,7,3,1]=>[5,7,4,3,1,2,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,5,8,3,7,4,2,1]=>[3,4,1,6,2,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,2,5,1,6,3,7,4]=>[1,7,4,8,3,6,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,5,1,6,7,2]=>[1,6,5,4,8,3,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,8,3,2,5,4,6]=>[8,2,1,6,7,4,5,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,8,1,3,5,4,6,2]=>[2,1,8,6,4,5,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,1,3,5,2,4,6]=>[2,1,8,6,4,7,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,7,8,5,2,4,6]=>[8,6,2,1,4,7,5,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,7,8,3,5,2,6,4]=>[8,2,1,6,4,7,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,3,2,5,6,4]=>[8,2,1,6,7,4,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,7,6,4,8,1,2]=>[6,4,2,3,5,1,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,7,8,5,4,6,2]=>[8,6,2,1,4,5,3,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,7,8,5,4,2,6]=>[8,6,2,1,4,5,7,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,3,7,8,2,5,4,6]=>[8,6,2,1,7,4,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,2,7,8,5,4,6]=>[8,6,7,2,1,4,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,6,8,3,2,4]=>[8,4,2,3,1,6,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,7,8,6,1,2]=>[6,4,5,2,1,3,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,5,7,6,8,4,1,2]=>[6,4,2,3,1,5,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,6,8,3,4,2]=>[8,4,2,3,1,6,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,4,6,8,1,2]=>[6,4,2,5,3,1,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,4,3,2,5,8,7]=>[3,8,5,6,7,4,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,5,8,4,3,7,1,2]=>[3,4,1,5,6,2,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,6,7,8,4,1,2]=>[4,6,3,2,1,5,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,4,6,5,1,2]=>[6,2,1,5,3,4,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,7,6,3,8,1,4]=>[4,7,2,3,6,1,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,5,7,1,8,4,3]=>[3,7,4,2,8,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,3,2,4,6,5,7]=>[8,1,6,7,5,3,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,6,2,3,7,1,4]=>[4,1,3,7,6,2,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,8,3,6,7,2,5]=>[8,5,1,6,3,2,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,1,5,2,4,8]=>[3,2,6,8,4,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,6,7,2,1,8,4]=>[6,4,3,2,7,8,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,2,8,5,3,1,4,7]=>[3,7,1,4,6,8,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,1,7,4,3,8,5,6]=>[7,8,2,5,6,1,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,2,8,3,6,7,5]=>[8,5,7,1,6,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,8,5,4,1,6]=>[2,7,6,1,4,5,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,1,7,8,2,6,5]=>[6,5,8,2,1,7,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,3,1,4,5,6,2]=>[2,1,6,8,5,4,3,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,1,4,3,7,6,2]=>[4,1,8,5,6,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,1,5,6,4,8,2]=>[6,2,8,4,3,5,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,7,3,2,5,4]=>[3,8,1,2,6,7,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,1,5,2,7,8,6,3]=>[5,8,4,7,2,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,1,5,6,2,4,3]=>[2,1,8,4,3,7,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,7,6,3,8,2]=>[5,8,4,2,3,6,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,8,2,3,6,5,7]=>[8,5,1,7,6,3,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,7,3,2,6,5,8]=>[8,5,2,6,7,3,4,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,6,7,3,5,2,8]=>[8,5,3,2,6,4,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,3,4,8,2,7,6]=>[8,4,6,5,1,7,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,8,2,6,7,5,3]=>[8,5,1,7,3,2,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,7,8,2,3,6,5]=>[8,5,2,1,7,6,3,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,8,3,5,7,1,4,6]=>[7,1,6,4,2,8,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,3,2,4,5,6,8]=>[8,2,6,7,5,4,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [7,4,6,2,3,1,5,8]=>[2,5,3,7,6,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,4,7,8,3,2,5]=>[3,8,5,2,1,6,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,2,4,5,8,6]=>[8,2,6,7,5,4,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,8,7,3,2,6,5]=>[8,5,1,2,6,7,3,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,2,6,5,3,1,7,8]=>[5,7,3,4,6,8,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,3,5,8,6,2,7,4]=>[8,6,4,1,3,7,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,8,4,1,7,6,5]=>[7,6,1,5,8,2,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,1,7,8,4,3,6]=>[7,4,8,2,1,5,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,2,3,1,6,8]=>[5,2,4,7,6,8,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,7,4,1,5,2,8]=>[6,3,2,5,8,4,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,7,1,6,2,8,4]=>[6,4,2,8,3,7,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,5,7,4,2,6]=>[8,6,1,4,2,5,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,3,7,5,4,6,8]=>[8,7,6,2,4,5,3,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,7,6,5,3,4,2,8]=>[8,2,3,4,6,5,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,3,8,6,5,4,1,7]=>[7,6,1,3,4,5,8,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,8,6,3,5,7,4,1]=>[7,1,3,6,4,2,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,7,4,3,1,8,5]=>[7,3,2,5,6,8,1,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,8,6,7,4,1,5,3]=>[7,1,3,2,5,8,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,8,2,5,3,4,7]=>[3,8,1,7,4,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,1,5,7,3,4,8]=>[7,3,8,4,2,6,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,1,5,2,7,4,8]=>[6,3,8,4,7,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,4,2,7,1,5]=>[6,1,3,5,7,2,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,6,2,1,7,5,4]=>[6,1,3,7,8,2,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,2,5,7,4,6,3]=>[8,1,7,4,2,5,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,8,3,1,7,6]=>[4,7,5,1,6,8,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,8,4,3,1,6,7]=>[7,4,1,5,6,8,3,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,1,8,7,2,5,6,3]=>[5,8,1,2,7,4,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,5,2,3,4,8,7]=>[3,8,4,7,6,5,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,8,7,6,4,1,3]=>[7,4,1,2,3,5,8,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,2,6,8,7,3,1,4]=>[4,7,3,1,2,6,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,2,8,6,7,5,4]=>[6,8,7,1,3,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,2,4,8,6,7,5]=>[6,8,7,5,1,3,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,4,3,8,1,7]=>[4,3,7,5,6,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,5,2,8,1,4,6]=>[6,2,4,7,1,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,4,7,3,2,8,6]=>[4,8,5,2,6,7,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,5,4,8,6,1,7]=>[7,6,4,5,1,3,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,5,7,4,8,1,6]=>[7,6,4,2,5,1,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,6,1,5,8,4]=>[7,6,2,3,8,4,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,6,1,2,5,8,4]=>[6,2,3,8,7,4,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,1,6,8,5,3,2]=>[5,2,8,3,1,4,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,1,8,6,3,5,2,7]=>[5,8,1,3,6,4,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,5,8,6,2,3,7]=>[5,8,4,1,3,7,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,4,6,2,8,7,1]=>[4,6,5,3,7,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,8,6,3,7,1,2]=>[4,5,1,3,6,2,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,3,4,8,2,6,1]=>[4,2,6,5,1,7,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,4,7,5,3,8,1,2]=>[3,5,2,4,6,1,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,6,4,8,3,1,2]=>[4,2,3,5,1,6,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,4,8,3,1,6,2]=>[4,2,5,1,6,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,4,7,5,2,8,6]=>[6,8,5,2,4,7,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,5,4,8,6,2,7]=>[6,8,4,5,1,3,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,7,5,4,6,2,8]=>[6,8,2,4,5,3,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,6,3,7,4,1,8]=>[7,4,3,6,2,5,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,1,8,7,2,6]=>[5,6,4,8,1,2,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,3,6,1,8,4,7]=>[7,4,6,3,8,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,6,4,1,8,3,7]=>[7,4,3,5,8,1,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,2,1,5,7,3,8]=>[5,3,7,8,4,2,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,6,7,4,1,8,3]=>[7,4,3,2,5,8,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,5,6,8,3,1,7,4]=>[7,4,3,1,6,8,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,1,4,5,3,6,2,8]=>[2,8,5,4,6,3,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,4,5,3,6,8]=>[8,2,7,5,4,6,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,4,5,3,2,6,8]=>[8,2,5,4,6,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,2,6,7,4,3,8]=>[8,4,7,3,2,5,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,5,6,1,4,3,7,2]=>[1,4,3,8,5,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,4,7,8,3,1,6]=>[7,4,5,2,1,6,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,8,2,1,3,7]=>[4,3,5,1,7,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,8,1,4,6,3,2]=>[2,4,1,8,5,3,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,6,7,8,1,5,3]=>[5,7,3,2,1,8,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,2,5,1,6,3]=>[5,2,1,7,4,8,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,7,8,1,5,2]=>[6,5,3,2,1,8,4,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,5,3,7,8,1,4,6]=>[7,4,6,2,1,8,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,3,8,1,2,4,7]=>[4,3,6,1,8,7,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,3,8,5,1,6,2]=>[5,2,6,1,4,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,5,3,2,6,1,7]=>[5,1,4,6,7,3,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,4,5,3,6,1,7]=>[7,1,5,4,6,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,5,3,2,4,7,6]=>[1,8,4,6,7,5,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,8,2,4,1,6,5]=>[2,6,1,7,5,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,3,7,8,1,5,4]=>[3,7,6,2,1,8,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,7,8,1,5,4]=>[7,3,6,2,1,8,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,5,8,1,6,4,2,3]=>[2,4,1,8,3,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,7,3,8,5,2,6]=>[8,5,2,6,1,4,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,4,3,7,5,6,2]=>[1,8,5,6,2,4,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,8,5,3,2,6,7]=>[8,5,1,4,6,7,3,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [8,2,7,6,4,1,5,3]=>[1,7,2,3,5,8,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,7,4,3,8,5,1,6]=>[7,2,5,6,1,4,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,8,6,4,5,3]=>[7,2,8,1,3,5,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,7,6,3,8,5,1]=>[7,5,2,3,6,1,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,2,6,1,8,3,5,4]=>[2,7,3,8,1,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,2,7,3,1,5,4]=>[3,1,7,2,6,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,1,4,7,5,3,2]=>[3,1,8,5,2,4,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,2,6,3,4,1,7,5]=>[1,7,3,6,5,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,2,8,5,3,7,4]=>[3,8,7,1,4,6,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,7,3,5,6,2]=>[5,8,1,2,6,4,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,5,8,3,6,7,2]=>[5,8,4,1,6,3,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,2,6,8,3,1,5]=>[5,2,7,3,1,6,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,5,7,1,3,2,6]=>[5,1,4,2,8,6,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,7,2,1,5,8,6]=>[6,5,2,7,8,4,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,8,2,7,1,3,6,5]=>[5,1,7,2,8,6,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,8,3,6,7,1]=>[5,7,4,1,6,3,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,6,8,3,2,7,4]=>[4,8,3,1,6,7,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,6,8,2,7,3]=>[5,8,4,3,1,7,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,3,1,2,5,6]=>[5,2,1,6,8,7,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,8,2,4,1,3,6]=>[4,2,1,7,5,8,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,2,3,6,4,7,1]=>[4,1,7,6,3,5,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,6,8,2,3,1]=>[5,4,2,3,1,7,6,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,3,1,6,7,2]=>[5,1,4,6,8,3,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,2,3,1,7,8,5,4]=>[3,7,6,8,2,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,2,3,6,8,4,7,1]=>[4,7,6,3,1,5,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,8,4,1,6,3]=>[4,7,2,1,5,8,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,8,6,4,1,7,3]=>[4,7,1,3,5,8,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,7,3,2,4,6,5]=>[1,8,2,6,7,5,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,1,2,8,4,3,7,6]=>[4,8,7,1,5,6,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,8,3,4,1,6,2]=>[4,2,1,6,5,8,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,3,2,5,4,1]=>[3,2,1,6,7,4,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,2,6,4,8,1,3]=>[4,2,7,3,5,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,4,7,8,5,1]=>[3,7,6,5,2,1,4,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,2,3,7,8,1,4,5]=>[3,7,6,2,1,8,5,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,7,4,2,5,6,8]=>[8,6,2,5,7,4,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,3,8,6,4,2,7,5]=>[8,6,1,3,5,7,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,3,5,8,4,2,7,6]=>[8,6,4,1,5,7,2,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,8,4,5,2,7,6]=>[8,6,1,5,4,7,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,6,2,3,5,4,8]=>[8,2,3,7,6,4,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,6,4,2,3,5,8]=>[8,2,3,5,7,6,4,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,3,2,5,8,6,4,7]=>[8,6,7,4,1,3,5,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,7,2,8,5,3]=>[3,8,5,2,7,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,5,8,4,2,3,6]=>[8,2,4,1,5,7,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,2,4,3,6,8,1]=>[4,2,7,5,6,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,3,6,1,7,4,5]=>[7,1,6,3,8,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,5,6,2,7,3]=>[8,1,5,4,3,7,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,5,3,1,7,4,6]=>[1,7,4,6,8,2,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,5,8,1,7,4,2]=>[3,6,4,1,8,2,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,4,8,6,1,7,2]=>[6,4,5,1,3,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,5,1,4,8,3,6]=>[7,2,4,8,5,1,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,6,5,1,8,2,3]=>[2,5,3,4,8,1,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,4,1,7,3,6,5]=>[7,1,5,8,2,6,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,2,8,1,6,7]=>[5,6,4,7,1,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,3,8,2,4,6,5]=>[8,2,6,1,7,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,4,8,5,3,1,6]=>[7,2,5,1,4,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,6,8,1,3,2,7]=>[4,5,3,1,8,6,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,1,5,8,4,7,2]=>[6,3,8,4,1,5,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,4,8,3,5,7,2,1]=>[3,5,1,6,4,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,5,8,2,4,1,7,6]=>[6,4,1,7,5,8,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,4,1,3,6,5]=>[2,7,1,5,8,6,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,1,2,4,3,6,7]=>[4,1,8,7,5,6,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,5,4,7,1,2,8]=>[6,3,4,5,2,8,7,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,4,6,3,5,7,2,1]=>[1,5,3,6,4,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,7,4,3,2,5,8]=>[3,8,2,5,6,7,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,7,4,6,3,5,1,8]=>[7,2,5,3,6,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,6,2,7,5,1,4]=>[1,6,3,7,2,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,4,7,3,1,6,5]=>[7,1,5,2,6,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,7,3,6,1,5,4]=>[7,1,2,6,3,8,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,7,5,3,6,2]=>[8,1,5,2,4,6,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,5,7,1,4,6,3]=>[7,1,4,2,8,5,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,5,8,3,7,2,6]=>[5,8,4,1,6,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,8,5,7,1,4,3]=>[7,3,1,4,2,8,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,6,8,3,7,2]=>[8,4,5,3,1,6,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,2,3,8,7,6]=>[5,8,4,7,6,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,4,8,3,5,7,2,6]=>[8,5,1,6,4,2,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,6,1,8,5,4]=>[6,2,7,3,8,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,2,8,5,1,4]=>[2,6,3,7,1,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,8,3,5,7,2,4]=>[8,3,1,6,4,2,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,8,6,3,7,5,2]=>[8,5,1,3,6,2,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,8,3,7,5,2,6,1]=>[5,1,6,2,4,7,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,5,8,2,4,7,1,3]=>[3,4,1,7,5,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,5,3,7,4,2,6]=>[8,1,4,6,2,5,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,1,3,5,2,4,7]=>[3,1,8,6,4,7,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,5,6,2,8,4,3,1]=>[2,4,3,7,1,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,3,5,1,6,7,4,2]=>[1,6,4,8,3,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,6,7,2,5,4,1,3]=>[1,3,2,7,4,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,8,7,5,1,2,6]=>[5,6,1,2,4,8,7,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,3,8,1,2,5,4,7]=>[3,6,1,8,7,4,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,5,1,6,7,4,3]=>[1,7,4,8,3,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,5,2,6,7,4,3]=>[1,8,4,7,3,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,7,2,4,6,5,3,8]=>[8,2,7,5,3,4,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,6,8,7,4,3,5]=>[8,7,3,1,2,5,6,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,2,7,4,3,5,8,6]=>[8,7,2,5,6,4,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,2,8,7,4,3,5]=>[8,3,7,1,2,5,6,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,4,7,5,2,8,6,3]=>[8,5,2,4,7,1,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,3,7,4,2,8,5]=>[8,3,6,2,5,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,5,2,7,4,3,6]=>[8,1,4,7,2,5,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,8,7,5,3,2,6]=>[8,5,1,2,4,6,7,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,2,5,8,6,3,7,4]=>[8,7,4,1,3,6,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,4,7,5,8,6,3]=>[8,7,5,2,4,1,3,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,8,7,6,2,4,3]=>[8,4,1,2,3,7,5,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,3,5,8,7,6,2,4]=>[8,6,4,1,2,3,7,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,5,2,4,3,6,8,7]=>[8,4,7,5,6,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,8,7,5,3,2,4]=>[8,3,1,2,4,6,7,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,2,5,7,4,3,8,6]=>[8,7,4,2,5,6,1,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,5,3,2,6,8,7,4]=>[8,4,6,7,3,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,2,6,8,7,5,3]=>[8,5,7,3,1,2,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,5,8,6,3,2,7,4]=>[8,4,1,3,6,7,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,8,5,2,6,3,4,7]=>[8,1,4,7,3,6,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,4,6,3,2,8,5]=>[8,2,5,3,6,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,3,2,8,5,4,7]=>[8,3,6,7,1,4,5,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,8,6,4,2,5,7]=>[8,6,1,3,5,7,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,3,7,5,4,2,8,1]=>[3,6,2,4,5,7,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,8,2,7,5,4,1,6]=>[6,1,7,2,4,5,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,7,3,6,8,5,4,1]=>[7,2,6,3,1,4,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,7,2,8,1,6,4,5]=>[6,2,7,1,8,3,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,8,7,1,4,3,6]=>[7,4,1,2,8,5,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,5,8,2,4,3,7]=>[3,8,4,1,7,5,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,6,5,8,2,7,1]=>[6,5,3,4,1,7,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,1,6,7,8,3]=>[4,7,5,8,3,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,7,1,6,8,3,5]=>[5,7,2,8,3,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,8,6,4,7,1,3]=>[4,7,1,3,5,2,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,7,2,3,1,4,6]=>[1,4,2,7,6,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,3,4,7,2,8,5]=>[3,8,6,5,2,7,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,4,7,1,5,3,2,6]=>[1,5,2,8,4,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,7,2,5,3,1,6]=>[1,5,2,7,4,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,4,5,2,1,7,6]=>[1,6,5,4,7,8,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,4,7,2,1,5,8]=>[3,6,5,2,7,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,6,7,2,8,1,4]=>[4,6,3,2,7,1,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,2,6,1,8,7,5]=>[6,5,7,3,8,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,7,2,8,4,1]=>[4,6,3,2,7,1,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,7,2,4,8,1]=>[4,6,3,2,7,5,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,6,7,2,4,1,8]=>[4,6,3,2,7,5,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,2,5,6,7,4,1]=>[6,1,7,4,3,2,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,8,4,1,6,7,2,5]=>[6,1,5,8,3,2,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,6,7,8,1,2,4]=>[4,6,3,2,1,8,7,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,3,6,1,4,7,5]=>[7,1,6,3,8,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,2,7,1,4,3,8]=>[4,3,7,2,8,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,7,4,1,2,8]=>[4,6,3,2,5,8,7,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,8,2,6,7,4,3]=>[4,8,1,7,3,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,5,1,6,7,4,2]=>[6,1,4,8,3,2,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,5,6,7,3,8,2]=>[5,8,4,3,2,6,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,6,7,3,2,8]=>[5,8,4,3,2,6,7,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,1,5,6,7,4,3]=>[7,1,8,4,3,2,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,5,8,2,6,7,4,3]=>[8,4,1,7,3,2,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,6,1,7,4,3,2]=>[4,1,3,8,2,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,1,3,6,5,2,8,4]=>[2,8,6,3,4,7,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,7,5,4,2,8,3]=>[3,8,2,4,5,7,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,7,3,6,5,1,8,4]=>[7,2,6,3,4,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,5,6,4,8,1,2]=>[6,2,4,3,5,1,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,6,8,1,3,5,4,2]=>[2,3,1,8,6,4,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,4,6,1,7,5,3]=>[7,1,5,3,8,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,8,6,7,1,4,2]=>[6,4,1,3,2,8,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,4,6,8,5,3,7]=>[8,7,5,3,1,4,6,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,1,5,8,6,2,4,7]=>[6,8,4,1,3,7,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,4,6,8,1,3,7]=>[7,4,5,3,1,8,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,5,8,6,4,1,3]=>[2,7,4,1,3,5,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,8,3,4,7,6,1]=>[4,7,1,6,5,2,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,4,3,8,7,1,6,5]=>[7,5,6,1,2,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,8,7,4,2,6,3]=>[8,4,1,2,5,7,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,8,7,5,4,3,1,2]=>[3,1,2,4,5,6,8,7]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [4,5,2,6,3,8,7,1]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,3,4,8,7,1]=>[4,7,3,6,5,1,2,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,7,3,2,6,8,5]=>[5,8,2,6,7,3,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,8,5,4,7,2,3]=>[3,8,1,4,5,2,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,7,4,3,6,8,2]=>[4,8,2,5,6,3,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,5,7,6,4,2,3]=>[1,8,4,2,3,5,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,7,6,8,2,1,5]=>[5,6,2,3,1,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,4,7,2,3,5,6]=>[1,8,5,2,7,6,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,2,7,1,5,6,8,4]=>[6,7,2,8,4,3,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,1,8,5,2,7,3,4]=>[3,8,1,4,7,2,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,4,7,6,2,1,5]=>[1,6,5,2,3,7,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,4,5,7,1,3,2,6]=>[1,5,4,2,8,6,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,8,7,5,2,4,6]=>[6,8,1,2,4,7,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,5,8,7,2,4,3,1]=>[3,4,1,2,7,5,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,3,6,5,8,2,1,7]=>[5,6,3,4,1,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,6,8,7,1,4,5]=>[6,7,3,1,2,8,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,2,7,6,1,4,5]=>[6,1,7,2,3,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,5,1,8,7,3,6]=>[7,5,4,8,1,2,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,7,1,8,5,2,6]=>[5,6,2,8,1,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,6,8,2,1,4,5]=>[6,2,3,1,7,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,6,1,8,3,2,5]=>[2,5,3,8,1,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,8,7,2,1,4,5]=>[6,3,1,2,7,8,5,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,8,7,2,5,6,1,4]=>[6,1,2,7,4,3,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,8,5,6,7,1,4]=>[6,7,1,4,3,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,6,2,5,8,1,4]=>[2,6,3,7,4,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,6,2,8,1,4,5]=>[6,2,3,7,1,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,2,7,1,4,5]=>[3,1,6,7,2,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,1,8,5,2,6]=>[5,2,6,8,1,4,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,3,6,2,5,7,1,4]=>[1,6,3,7,4,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,2,5,6,8,1,4]=>[6,2,7,4,3,1,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,6,8,2,1,7,3,5]=>[5,3,1,7,8,2,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,8,2,5,6,1,4]=>[6,2,1,7,4,3,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,6,1,2,4,5,3]=>[2,1,3,8,7,5,4,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,3,4,7,8,6,2]=>[8,4,6,5,2,1,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,2,4,7,8,6,3]=>[4,8,7,5,2,1,3,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,7,8,6,2,3,4]=>[4,8,2,1,3,7,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,2,6,4,5,8,3]=>[2,8,7,3,5,4,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,3,6,4,5,8,2]=>[8,2,6,3,5,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,3,6,4,5,7,2]=>[8,1,6,3,5,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,6,2,7,3,4,5]=>[1,8,3,7,2,6,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,6,2,5,3,4,8]=>[2,8,3,7,4,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,7,2,5,3,4,6]=>[1,8,2,7,4,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,2,7,4,5,6,3]=>[1,8,7,2,5,4,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,3,7,4,5,6,2]=>[8,1,6,2,5,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,2,8,5,6,7,4]=>[6,8,7,1,4,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,7,4,2,3,5,8]=>[3,8,2,5,7,6,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,7,3,4,6,8,5,2]=>[8,2,6,5,3,1,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,7,3,8,4,5,6,2]=>[8,2,6,1,5,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,2,5,3,4,6]=>[2,8,1,7,4,6,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,7,2,6,3,4,8]=>[4,8,2,7,3,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,8,2,6,3,4,7]=>[4,8,1,7,3,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,6,3,7,4,5,8,2]=>[8,3,6,2,5,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,8,4,3,6,1,7]=>[7,4,1,5,6,3,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,2,8,5,4,1,6]=>[6,2,7,1,4,5,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,8,6,3,5,1,7]=>[7,5,1,3,6,4,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,7,5,4,1,6,8]=>[7,6,2,4,5,8,3,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,4,6,2,1,5,8,7]=>[6,5,3,7,8,4,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,8,5,4,1,2,7]=>[6,3,1,4,5,8,7,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,5,8,3,4,1,7,6]=>[7,4,1,6,5,8,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,4,2,1,7,6]=>[6,4,1,5,7,8,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,4,7,1,3,6,8,5]=>[7,5,2,8,6,3,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,4,7,8,1,3,2,6]=>[4,5,2,1,8,6,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,8,1,5,2,7]=>[5,3,6,1,8,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,7,1,4,6,3,8]=>[7,4,2,8,5,3,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,7,1,6,5,4,8]=>[7,6,2,8,3,4,5,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,7,1,4,3,6,8]=>[7,4,2,8,5,6,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,7,3,1,4,6,8]=>[7,4,2,6,8,5,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,6,3,7,1,5,2,8]=>[5,3,6,2,8,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,2,8,1,4,6]=>[4,2,6,7,1,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,3,7,1,5,8,2]=>[5,3,6,2,8,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,8,5,4,1,7,2]=>[6,3,1,4,5,8,2,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,8,3,5,1,7,4]=>[7,3,1,6,4,8,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,7,1,4,6,8,3]=>[7,4,2,8,5,3,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,4,7,1,6,3,8,5]=>[7,5,2,8,3,6,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,1,6,8,3,5]=>[7,5,2,8,3,1,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,5,8,1,7,4,3]=>[7,3,4,1,8,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,8,3,1,7,6,5]=>[7,5,1,6,8,2,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,3,6,4,7,1,2,8]=>[4,6,3,5,2,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,3,5,7,4,8,1]=>[7,3,6,4,2,5,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,3,7,4,1,5,6]=>[7,1,6,2,5,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,3,6,1,5,8,4]=>[7,2,6,3,8,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,4,1,5,8,2]=>[3,6,2,5,8,4,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,4,3,7,5,1,8,6]=>[7,5,6,2,4,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,4,2,5,1,6]=>[2,6,1,5,7,4,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,8,4,2,5,6,1]=>[2,6,1,5,7,4,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,3,7,4,5,6,1]=>[7,1,6,2,5,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,7,3,1,6,8]=>[5,7,4,2,6,8,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,4,5,3,1,6,7]=>[1,7,5,4,6,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,7,5,2,1,6,8]=>[5,6,2,4,7,8,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,6,7,4,3,2,5,8]=>[8,3,2,5,6,7,4,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,5,7,3,2,6,8]=>[8,5,4,2,6,7,3,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,5,1,4,7,2,6,8]=>[6,4,8,5,2,7,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,4,7,8,3,6]=>[7,4,8,5,2,1,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,3,7,1,5,2,6,8]=>[5,6,2,8,4,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,1,6,4,2,7,8]=>[6,4,8,3,5,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,4,1,3,6,8,5]=>[2,7,5,8,6,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,6,3,5,7,8,4]=>[7,8,3,6,4,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,4,6,5,2,7,3,8]=>[8,5,3,4,7,2,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,2,1,4,3,7,8]=>[4,3,7,8,5,6,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,6,4,3,7,8]=>[7,4,8,3,5,6,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,4,1,6,3,7,8]=>[7,4,5,8,3,6,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,1,5,2,7,3,8]=>[5,3,8,4,7,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,4,7,5,3,6,8]=>[8,7,5,2,4,6,3,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,5,3,4,8,7,6]=>[8,7,4,6,5,1,2,3]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,3,7,6,5,1,2,8]=>[5,6,2,3,4,8,7,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,3,7,6,1,8,2,4]=>[4,6,2,3,8,1,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,1,3,6,5,4,2]=>[2,1,8,6,3,4,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,8,2,6,1,7,4,3]=>[4,1,7,3,8,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,3,7,6,2,8,4]=>[8,4,6,2,3,7,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,3,7,2,8,5,4]=>[8,3,6,2,7,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,8,2,4,6,5,3]=>[8,2,1,7,5,3,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,8,3,6,2,7,4]=>[8,4,1,6,3,7,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,7,1,4,5,2,3]=>[3,1,2,8,5,4,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,1,4,6,5,2,3]=>[2,1,8,5,3,4,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,7,3,1,6,2,4]=>[4,1,2,6,8,3,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,2,6,4,7,3,8,5]=>[8,7,3,5,2,6,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,7,8,3,5,6,4]=>[8,7,2,1,6,4,3,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,8,7,1,2,4,5,3]=>[3,1,2,8,7,5,4,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,7,6,2,1,5,3]=>[5,1,2,3,7,8,4,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,6,2,3,4,1,8,7]=>[4,3,7,6,5,8,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,8,5,4,3,7]=>[7,3,8,1,4,5,6,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,6,2,3,4,1,7]=>[4,1,3,7,6,5,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,7,5,8,2,1,3]=>[3,5,2,4,1,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,2,1,5,7,6,3]=>[5,1,7,8,4,2,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,1,4,8,5,6,3,7]=>[7,8,5,1,4,3,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,5,6,2,1,3,7]=>[5,1,4,3,7,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,6,2,4,3,8,1]=>[2,4,3,7,5,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,6,3,4,1,5,7]=>[7,1,3,6,5,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,3,4,1,8,5,7]=>[7,3,6,5,8,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,5,7,3,8,1]=>[5,3,7,4,2,6,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,8,5,3,6,1,7]=>[5,7,1,4,6,3,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,4,2,5,3,6,1]=>[2,1,5,7,4,6,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,5,8,1,7,3]=>[3,7,5,4,1,8,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,7,8,4,3,6,5]=>[7,8,2,1,5,6,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,5,7,8,3,6,1]=>[5,7,4,2,1,6,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,8,3,5,6,2,4,1]=>[2,1,6,4,3,7,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,7,8,4,5,6,3]=>[7,8,2,1,5,4,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,1,7,8,4,5]=>[3,7,6,8,2,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,8,6,7,2,4,5]=>[6,8,1,3,2,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,3,2,6,4,7,8]=>[4,8,6,7,3,5,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,8,2,3,6,1,5]=>[5,2,1,7,6,3,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,5,1,8,6,7,3]=>[5,7,4,8,1,3,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,8,1,4,2,6,3]=>[2,4,1,8,5,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,3,7,1,6,8,2]=>[5,4,6,2,8,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,8,5,3,6,7,1]=>[5,7,1,4,6,3,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,4,1,8,5,6,3]=>[7,2,5,8,1,4,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,1,4,7,6,3]=>[4,7,1,8,5,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,6,3,5,4,7,1]=>[7,1,3,6,4,5,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,8,6,4,7,1]=>[6,4,7,1,3,5,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,4,7,6,1,8,3]=>[4,7,5,2,3,8,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,5,1,6,4,8,2]=>[2,6,4,8,3,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,5,8,4,7,1,3]=>[3,7,4,1,5,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,3,6,1,4,7]=>[4,1,7,6,3,8,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,4,7,2,6,8,3]=>[4,8,5,2,7,3,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,6,3,2,4,5,8]=>[2,8,3,6,7,5,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,1,6,8,3,2,5,7]=>[5,8,3,1,6,7,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,7,1,6,4,8,3]=>[7,4,2,8,3,5,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,3,7,5,1,6]=>[7,5,1,6,2,4,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,1,5,2,3,8]=>[5,2,3,8,4,7,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,4,6,1,8,5,2]=>[6,2,5,3,8,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,2,3,8,1,4,7]=>[4,3,7,6,1,8,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,1,2,4,7,3,8]=>[4,3,8,7,5,2,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,3,8,6,2,5]=>[5,2,8,6,1,3,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,4,8,5,6,3]=>[7,2,8,5,1,4,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,4,7,2,8,5]=>[8,3,6,5,2,7,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,7,6,2,1,5,4]=>[1,6,2,3,7,8,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,2,7,6,1,4,3]=>[4,1,7,2,3,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,7,6,2,5,1,4]=>[1,6,2,3,7,4,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,8,6,5,1,4,2]=>[2,6,1,3,4,8,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,2,4,7,5,3,8,1]=>[3,7,5,2,4,6,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,3,2,5,8,6,4]=>[2,8,6,7,4,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,6,3,7,5,4,8,1]=>[7,3,6,2,4,5,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,4,5,2,6,8,1]=>[6,2,5,4,7,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,3,4,5,8,6,2]=>[2,8,6,5,4,1,3,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,5,1,4,8,6,3]=>[7,2,4,8,5,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,7,1,3,8,6,2]=>[4,5,2,8,6,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,4,6,2,1,3,5]=>[2,1,5,3,7,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,2,6,4,7,3,5]=>[8,1,7,3,5,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,2,4,8,6,5]=>[6,8,2,7,5,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,7,5,2,8,4,3]=>[8,3,2,4,7,1,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,1,7,6,3,4,2,5]=>[1,8,2,3,6,5,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,4,2,5,7,3,6]=>[1,8,5,7,4,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,6,5,8,4,3,1]=>[2,7,3,4,1,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,8,5,6,2,7,1]=>[6,5,1,4,3,7,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,4,2,5,7,8]=>[3,8,6,5,7,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,6,3,2,4,7,8]=>[8,4,3,6,7,5,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,3,5,2,4,1,7,8]=>[3,6,4,7,5,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,3,5,2,4,6,1]=>[2,1,6,4,7,5,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,5,7,3,6,1,8]=>[7,5,4,2,6,3,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,3,1,6,4,7,8]=>[7,4,6,8,3,5,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,3,2,6,1,8]=>[4,2,5,6,7,3,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,6,7,8,4,3,5,1]=>[7,3,2,1,5,6,4,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,7,8,4,5,3,6,2]=>[8,2,1,5,4,6,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,2,1,6,3,8]=>[4,2,5,7,8,3,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,1,4,7,3,6,2,8]=>[4,8,5,2,6,3,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,8,6,3,5,2,1]=>[2,5,1,3,6,4,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,7,6,3,5,2,1,8]=>[5,2,3,6,4,7,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,5,8,7,4,2,3]=>[8,3,4,1,2,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,3,6,8,2,5,4]=>[2,8,6,3,1,7,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,6,8,2,4,3]=>[8,2,4,3,1,7,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,5,8,2,4,1]=>[6,3,2,4,1,7,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,7,4,2,8,5,1]=>[6,3,2,5,7,1,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,6,3,2,7,8,5,1]=>[5,3,6,7,2,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,5,4,6,1,3,8]=>[2,7,4,5,3,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,2,1,7,5,4,8]=>[6,3,7,8,2,4,5,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,7,3,1,5,4,8]=>[7,3,2,6,8,4,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,1,6,4,7,5,3,8]=>[7,8,3,5,2,4,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,6,8,5,4,1,3,2]=>[2,3,1,4,5,8,6,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,8,4,6,5,3,2]=>[2,8,1,5,3,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,1,5,6,4,3,2,8]=>[2,8,4,3,5,6,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,8,2,1,6,7,4]=>[6,4,1,7,8,3,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,1,2,8,4,6,7,3]=>[4,8,7,1,5,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,3,2,8,1,7,4]=>[4,3,6,7,1,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,6,3,1,5,7,4]=>[1,7,3,6,8,4,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,5,3,6,1,7,4]=>[1,7,4,6,3,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,2,4,6,8,7,3]=>[4,8,7,5,3,1,2,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,2,5,6,7,4,3,1]=>[1,7,4,3,2,5,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,2,3,6,8,4,5]=>[2,8,7,6,3,1,5,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,2,5,3,4,1,6,7]=>[1,7,4,6,5,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,3,6,8,4,1,2]=>[4,2,6,3,1,5,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,6,8,5,3,4,2]=>[2,8,3,1,4,6,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,4,6,5,2,7]=>[6,8,1,5,3,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,3,8,6,5,2,7]=>[5,8,6,1,3,4,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,4,1,6,5,7,3]=>[1,7,5,8,3,4,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,4,6,5,7,2]=>[6,8,1,5,3,4,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,6,8,5,3,2,4]=>[2,8,3,1,4,6,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,6,4,8,3,2,5]=>[2,8,3,5,1,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,2,3,8,4,7,5]=>[3,8,7,6,1,5,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,5,3,4,6,1,7]=>[1,7,4,6,5,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,5,3,4,6,7,1]=>[1,7,4,6,5,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,6,7,4,2,5,3]=>[1,8,3,2,5,7,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,6,7,4,2,3,5]=>[1,8,3,2,5,7,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,6,4,5,2,3,7]=>[1,8,3,5,4,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,6,4,5,2,7,3]=>[1,8,3,5,4,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,4,2,5,1,3]=>[1,3,2,5,7,4,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,6,7,1,4,5,2,3]=>[1,3,2,8,5,4,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,6,7,4,2,1,5,3]=>[1,3,2,5,7,8,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,4,7,5,8,2,6,1]=>[6,5,2,4,1,7,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,7,6,4,5,1,2]=>[1,6,2,3,5,4,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,8,6,4,1,7,2]=>[4,6,1,3,5,8,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,4,5,1,2,8,6,3]=>[2,5,4,8,7,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,4,7,1,8,5,2,3]=>[3,5,2,8,1,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,4,2,3,8,6,1]=>[4,2,5,7,6,1,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,8,2,5,1,7,4,6]=>[6,1,7,4,8,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,2,3,7,1,6]=>[4,1,5,7,6,2,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,5,2,1,7,3,6]=>[5,1,4,7,8,2,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,5,7,6,1,2,4,3]=>[1,4,2,3,8,7,5,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,7,5,2,4,1,3]=>[3,1,2,4,7,5,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,8,4,1,3,2]=>[4,2,3,1,5,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,8,3,7,1,2,5]=>[5,3,1,6,2,8,7,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,8,4,7,1,6]=>[6,4,7,1,5,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,8,3,7,2,1,5]=>[3,5,1,6,2,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,2,8,7,4,1,5]=>[6,3,7,1,2,5,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,4,2,7,3,1,5]=>[3,1,5,7,2,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,8,6,7,3,2,1]=>[4,5,1,3,2,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,7,8,5,1,2,6]=>[6,5,2,1,4,8,7,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,7,3,2,5,6,8,1]=>[5,2,6,7,4,3,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,2,7,6,4,5,8,1]=>[6,7,2,3,5,4,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,6,5,1,8,7,4]=>[7,6,3,4,8,1,2,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,8,2,4,3,5,6]=>[8,2,1,7,5,6,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,4,7,1,2,8,5]=>[6,3,5,2,8,7,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,4,8,1,3,2,6]=>[4,2,5,1,8,6,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,8,1,5,2,6]=>[5,6,2,1,8,4,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,8,7,4,1,5]=>[6,7,3,1,2,5,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,3,7,5,1,8,6,4]=>[7,6,2,4,8,1,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,6,8,1,5,2,7]=>[5,6,3,1,8,4,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,8,3,1,7,2]=>[4,5,3,1,6,8,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,8,4,5,1,7,2]=>[6,3,1,5,4,8,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,6,1,8,5,4]=>[7,6,2,3,8,1,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,8,3,1,4,7,5]=>[3,7,1,6,8,5,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,2,8,7,4,5,6]=>[6,8,7,1,2,5,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,3,8,7,4,6,5]=>[7,8,6,1,2,5,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,3,8,7,4,5,6]=>[7,8,6,1,2,5,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,8,3,2,4,7,5]=>[8,3,1,6,7,5,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,2,8,7,6,4,5]=>[8,6,7,1,2,3,5,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,3,8,7,6,4,5]=>[7,8,6,1,2,3,5,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,2,6,3,5,8,4]=>[8,2,7,3,6,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,8,2,6,3,5,4]=>[8,2,1,7,3,6,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,7,2,5,4,8]=>[8,3,6,2,7,4,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,6,8,3,4,5]=>[8,2,7,3,1,6,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,2,4,6,3,5,8]=>[8,2,7,5,3,6,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,6,5,8,3,1,2]=>[5,2,3,4,1,6,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,2,8,4,1,3,6]=>[4,2,7,1,5,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,8,4,2,1,7,5]=>[6,3,1,5,7,8,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,8,3,1,5,4,7]=>[7,3,1,6,8,4,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,8,3,1,4,5,7]=>[7,3,1,6,8,5,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,6,8,4,5,1,3,7]=>[7,3,1,5,4,8,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,8,4,1,3,7]=>[4,3,7,1,5,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,7,8,2,1,5,4]=>[3,6,2,1,7,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,8,3,1,6,7,5]=>[7,5,1,6,8,3,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,2,6,1,5,8,7]=>[6,5,7,3,8,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,8,3,1,6,4,7]=>[7,4,1,6,8,3,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,8,4,2,1,6,7]=>[6,4,1,5,7,8,3,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,5,8,3,1,4,6,7]=>[7,4,1,6,8,5,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,4,2,7,1,6,5,8]=>[6,5,7,2,8,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,5,6,8,1,4,3]=>[7,2,4,3,1,8,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,7,1,5,8,4]=>[6,7,3,2,8,4,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,1,3,5,7,4,6]=>[7,1,8,6,4,2,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,8,7,1,4,3,5,6]=>[7,1,2,8,5,6,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,8,6,1,4,5,2]=>[2,6,1,3,8,5,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,7,8,3,2,6,1]=>[4,5,2,1,6,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,5,4,6,8,1,7]=>[6,7,4,5,3,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,5,8,3,1,6,2]=>[2,5,4,1,6,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,5,7,3,1,2,6]=>[1,5,4,2,6,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,8,5,7,1,2,6]=>[6,5,1,4,2,8,7,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,8,2,5,1,4,7]=>[6,3,1,7,4,8,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,8,7,2,5,4,1]=>[6,3,1,2,7,4,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,5,7,2,8,1,6,4]=>[6,4,2,7,1,8,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,7,5,8,1,6,2]=>[6,5,2,4,1,8,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,6,5,8,2,1,7]=>[6,5,3,4,1,7,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,7,8,3,5,1]=>[7,5,3,2,1,6,4,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,2,6,8,3,5,4,7]=>[8,7,3,1,6,4,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,3,2,4,6,8,7]=>[8,4,6,7,5,3,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,7,6,3,2,4,8]=>[8,4,2,3,6,7,5,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,6,3,2,4,7,5,8]=>[8,3,6,7,5,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,3,2,4,8,7,5]=>[8,3,6,7,5,1,2,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,7,6,4,3,5,8]=>[8,7,2,3,5,6,4,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,8,7,5,2,4,6,3]=>[8,1,2,4,7,5,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,4,7,5,2,6,3]=>[8,1,5,2,4,7,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,5,2,6,3,4,8]=>[8,2,4,7,3,6,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,3,2,7,5,4,8]=>[8,3,6,7,2,4,5,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,6,4,8,7,5,2]=>[8,6,3,5,1,2,4,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,7,6,4,2,5,8]=>[8,6,2,3,5,7,4,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,3,2,4,8,5,7,6]=>[8,6,7,5,1,4,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,7,5,2,4,6]=>[8,6,1,2,4,7,5,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,6,3,2,7,5,8]=>[8,5,3,6,7,2,4,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,6,3,2,8,7,5]=>[8,5,3,6,7,1,2,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,7,6,4,2,3,8]=>[8,4,2,3,5,7,6,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,6,3,2,8,4,7,5]=>[8,3,6,7,1,5,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,5,2,7,4,8]=>[8,3,6,4,7,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,3,5,2,8,7,4]=>[8,3,6,4,7,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,3,7,5,2,4,6]=>[8,1,6,2,4,7,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,4,7,1,5,3,8,2]=>[3,5,2,8,4,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,8,2,6,4,7,1]=>[4,6,1,7,3,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,8,2,6,5,7,1]=>[5,6,1,7,3,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,1,8,3,4,7,5]=>[7,3,8,1,6,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,2,8,3,4,7,5]=>[8,3,7,1,6,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,1,4,8,2,3,6]=>[4,2,8,5,1,7,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,5,7,1,4,3,8,2]=>[3,4,2,8,5,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,8,2,3,4,6,5]=>[2,8,1,7,6,5,3,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,8,3,5,7,6,1,2]=>[5,1,6,4,2,3,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,6,1,2,4,8,3]=>[4,2,3,8,7,5,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,3,5,7,6,2,1]=>[5,1,6,4,2,3,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,2,1,8,5,7,6]=>[6,5,7,8,1,4,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,5,1,2,8,4,3]=>[3,2,4,8,7,1,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,4,2,8,5,7,6]=>[8,6,5,7,1,4,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,1,4,8,3,2]=>[4,2,3,8,5,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,3,1,8,4,7,6]=>[7,4,6,8,1,5,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,2,4,8,3,1]=>[4,2,3,7,5,1,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,5,2,3,8,4,1]=>[3,2,4,7,6,1,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,5,3,8,4,2,1]=>[3,2,4,6,1,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,2,6,1,4,3,8]=>[4,2,7,3,8,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,5,1,4,3,8]=>[3,2,7,4,8,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,1,3,2,8,4,7]=>[4,3,8,6,7,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,1,4,2,8,3,7]=>[4,3,8,5,7,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,7,3,4,5,2,6]=>[8,1,2,6,5,4,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,7,4,5,2,3,6]=>[8,1,2,5,4,7,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,7,8,4,5,6,2]=>[8,6,2,1,5,4,3,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,4,5,2,1,8,3,7]=>[3,5,4,7,8,1,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,5,2,8,1,7,3]=>[3,5,4,7,1,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,6,2,3,1,7,5]=>[5,1,3,7,6,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,3,1,8,7,5]=>[5,3,7,6,8,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,6,1,5,8,3,7]=>[5,7,3,8,4,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,5,2,8,7,1,3]=>[3,5,4,7,1,2,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,3,6,5,8,1,7]=>[5,7,6,3,4,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,4,5,1,7,3]=>[7,1,3,5,4,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,8,2,5,7,3,1]=>[3,5,1,7,4,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,4,6,7,1,5,3]=>[1,7,5,3,2,8,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,6,7,2,1,4,5,3]=>[1,3,2,7,8,5,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,6,1,4,3,7,5]=>[7,1,3,8,5,6,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,4,3,7,5,1]=>[7,1,3,5,6,2,4,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,6,3,1,7,4,8,5]=>[7,3,6,8,2,5,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,7,4,5,2,8,6]=>[8,6,2,5,4,7,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,2,5,8,7,4]=>[6,3,8,7,4,1,2,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,1,7,5,4,6,3,2]=>[1,8,2,4,5,3,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,7,3,8,6,5,2]=>[5,8,2,6,1,3,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,4,3,7,2,8,6,5]=>[8,5,6,2,7,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,3,1,4,5,7,6]=>[7,1,6,8,5,4,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,7,2,8,4,5,3]=>[3,8,2,7,1,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,4,6,3,8,2,5]=>[8,2,5,3,6,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,1,3,8,2,7]=>[4,3,5,8,6,1,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,6,3,5,8,1,4]=>[2,7,3,6,4,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,3,1,8,7,6,2]=>[5,4,6,8,1,2,3,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,3,4,2,7,8,5,1]=>[3,6,5,7,2,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,4,3,8,5,2,7,6]=>[8,5,6,1,4,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,8,1,3,5,4]=>[3,7,2,1,8,6,4,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,8,4,3,7,2,6]=>[4,8,1,5,6,2,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,8,1,3,4,6,5]=>[2,7,1,8,6,5,3,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,4,8,3,5,6,7,2]=>[8,5,1,6,4,3,2,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,2,8,1,4,5,6,3]=>[2,7,1,8,5,4,3,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,8,3,4,5,7,6]=>[7,8,1,6,5,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,2,3,1,7,4,6]=>[4,1,7,6,8,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,6,7,2,5,4,3]=>[1,8,3,2,7,4,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,8,3,6,1,4,7]=>[7,4,1,6,3,8,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,4,6,5,3,2,7]=>[1,8,5,3,4,6,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,5,2,3,4,7,6]=>[1,8,4,7,6,5,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,4,7,6,5,2,3]=>[1,8,5,2,3,4,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,3,7,5,2,4,6]=>[1,8,6,2,4,7,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,3,6,7,5,2,4]=>[1,8,6,3,2,4,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,2,7,6,5,4,3]=>[1,8,7,2,3,4,5,6]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,2,3,6,8,5,1,4]=>[2,7,6,3,1,4,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,8,1,6,7,2,3]=>[5,4,1,8,3,2,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,8,2,6,4,7,1]=>[6,4,1,7,3,5,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,8,6,1,5,7,4]=>[6,7,1,3,8,4,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,4,7,2,1,5,6,8]=>[6,5,2,7,8,4,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,7,2,5,8,4,6,1]=>[6,2,7,4,1,5,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,4,1,5,2,3]=>[3,2,1,5,8,4,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,2,8,3,5,1,4,7]=>[3,7,1,6,4,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,7,4,5,3,1,8]=>[3,7,2,5,4,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,5,6,1,8,2,3]=>[2,5,4,3,8,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,4,6,5,1,2,8]=>[2,6,5,3,4,8,7,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,4,5,6,1,8,3]=>[2,7,5,4,3,8,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,2,8,1,7,4]=>[3,6,4,7,1,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,3,5,8,1,4,6]=>[7,2,6,4,1,8,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,6,1,2,5,4,3]=>[2,1,3,8,7,4,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,8,7,4,5,2,3]=>[3,8,1,2,5,4,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,7,6,3,5,2,8]=>[5,8,2,3,6,4,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,6,7,2,5,8,3]=>[5,8,3,2,7,4,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,8,1,6,2,5,3]=>[5,2,1,8,3,7,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,1,6,3,2,5]=>[5,1,2,8,3,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,2,7,5,3,6,1]=>[5,1,7,2,4,6,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,2,7,5,6,4,8]=>[6,8,7,2,4,3,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,8,2,5,4,6,7]=>[8,6,1,7,4,5,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,2,5,8,7,3,4]=>[8,3,7,4,1,2,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,7,2,3,5,4]=>[8,3,1,2,7,6,4,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,2,4,8,3,6,7]=>[8,4,7,5,1,6,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,8,3,5,4,7,6]=>[8,7,1,6,4,5,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,2,5,4,7,6]=>[8,6,1,7,4,5,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,6,4,7,2,3,8]=>[8,4,3,5,2,7,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,4,2,5,8,3,6]=>[8,2,5,7,4,1,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,5,4,7,2,3,8]=>[8,3,4,5,2,7,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,8,2,3,6,7,4]=>[8,4,1,7,6,3,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,8,5,4,2,3,6]=>[8,2,1,4,5,7,6,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,2,7,5,3,8,6]=>[8,5,7,2,4,6,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,7,6,2,4,3,8]=>[8,4,2,3,7,5,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,4,7,3,2,6,5]=>[8,1,5,2,6,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,4,2,6,5,8,3]=>[8,2,5,7,3,4,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,8,3,7,4,2]=>[8,3,4,1,6,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,4,8,3,2,5,6]=>[8,2,5,1,6,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,4,8,3,2,7,5,6]=>[8,5,1,6,7,2,4,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,3,6,4,5,2,7]=>[8,1,6,3,5,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,4,7,3,2,8,5]=>[8,3,5,2,6,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,7,2,3,6,4,1]=>[1,4,2,7,6,3,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,5,6,8,4,2,7]=>[6,8,4,3,1,5,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,6,8,4,2,5,7]=>[8,6,3,1,5,7,4,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,8,7,3,4,6,1,5]=>[7,1,2,6,5,3,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,8,3,4,5,2,6]=>[2,8,1,6,5,4,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,7,3,4,2,1,5]=>[3,1,2,6,5,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,7,1,2,4,5,6]=>[6,1,2,8,7,5,4,3]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,8,5,3,4,6,2,7]=>[8,1,4,6,5,3,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,4,3,1,6,2,7]=>[4,1,5,6,8,3,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,6,5,4,3,8,2]=>[2,8,3,4,5,6,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,3,6,4,5,8,2]=>[2,8,6,3,5,4,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,3,6,4,8,2]=>[2,8,4,6,3,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,7,1,2,6,3,4]=>[4,1,2,8,7,3,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,2,3,4,7,1,5]=>[3,1,7,6,5,2,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,7,3,8,6,2,4]=>[4,8,2,6,1,3,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,3,2,4,7,8,5]=>[3,8,6,7,5,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,2,5,8,7,4,1,6]=>[6,7,4,1,2,5,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,5,8,7,3,1,6]=>[5,7,4,1,2,6,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,3,4,1,6,5,2,7]=>[1,6,5,8,3,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,8,5,7,2,1,6]=>[6,5,1,4,2,7,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,8,5,7,2,1]=>[6,3,5,1,4,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,4,7,3,6,2,1]=>[4,1,5,2,6,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,8,7,3,1,6,5]=>[5,7,1,2,6,8,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,5,8,2,1,7,4,3]=>[3,4,1,7,8,2,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,4,3,8,7,2,5]=>[3,8,5,6,1,2,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,3,2,6,8,7,4]=>[4,8,6,7,3,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,3,8,7,2,4,5]=>[3,8,6,1,2,7,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,5,8,7,1,4,6]=>[6,7,4,1,2,8,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,3,8,7,2,1,4]=>[4,3,6,1,2,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,2,4,8,5,7,3]=>[8,3,7,5,1,4,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,6,5,8,7,2,4]=>[6,8,3,4,1,2,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,5,3,6,7,1,2]=>[5,1,4,6,3,2,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,5,3,4,7,6,2]=>[8,1,4,6,5,2,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,7,6,4,2,5,8]=>[6,8,2,3,5,7,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,1,4,7,6,3,2,8]=>[4,8,5,2,3,6,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,7,3,5,4,6,2]=>[1,8,2,6,4,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,7,3,5,6,4,1]=>[7,1,2,6,4,3,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,6,3,2,5,4,7]=>[8,1,3,6,7,4,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,2,4,8,5,7,1,6]=>[6,7,5,1,4,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,4,8,1,3,6]=>[2,7,4,5,1,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,8,3,2,7,6,4]=>[4,8,1,6,7,2,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,8,5,2,3,7,1,4]=>[3,1,4,7,6,2,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,8,6,7,2,5]=>[8,6,5,1,3,2,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,7,8,5,6,4,1,3]=>[7,2,1,4,3,5,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,8,5,3,7,1]=>[5,3,7,1,4,6,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,2,4,8,3,1,7]=>[4,3,7,5,1,6,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,7,3,5,2,4]=>[8,3,1,2,6,4,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,3,5,4,8,6,2]=>[2,8,6,4,5,1,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,5,2,8,6,3,7]=>[5,8,4,7,1,3,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,3,1,4,6,7,5]=>[7,1,6,8,5,3,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,3,4,2,5,7,1]=>[3,1,6,5,7,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,8,3,5,1,6,7]=>[5,7,1,6,4,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,1,2,4,3,7,8]=>[4,3,8,7,5,6,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,2,6,5,4,7,8]=>[6,8,7,3,4,5,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,6,5,1,2,7,8]=>[5,6,3,4,8,7,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,2,3,7,5,4,6,1]=>[1,7,6,2,4,5,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,3,7,6,4,1,5]=>[7,1,6,2,3,5,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,3,7,6,4,5,1]=>[7,1,6,2,3,5,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,3,7,5,4,6,2]=>[1,8,6,2,4,5,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,3,7,5,4,2,6]=>[1,8,6,2,4,5,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,3,7,6,4,2,5]=>[8,1,6,2,3,5,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,3,7,6,4,2,1]=>[4,1,6,2,3,5,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,3,8,7,6,5,2,4]=>[8,6,1,2,3,4,7,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,8,1,7,6,4,5,3]=>[7,1,8,2,3,5,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,2,7,5,4,6,3]=>[1,8,7,2,4,5,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,2,7,6,4,5,1]=>[6,1,7,2,3,5,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,7,2,6,3,1,5]=>[5,1,2,7,3,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,7,2,6,3,5,4]=>[8,1,2,7,3,6,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,7,2,6,3,1,4]=>[4,1,2,7,3,6,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,7,1,6,3,4,5]=>[7,1,2,8,3,6,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,2,8,7,6,5,1,3]=>[5,7,1,2,3,4,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,8,7,1,6,3,4,2]=>[4,1,2,8,3,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,7,1,6,3,2,4]=>[4,1,2,8,3,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,8,7,6,5,2,3]=>[8,5,1,2,3,4,7,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [6,8,7,5,2,4,3,1]=>[3,1,2,4,7,5,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,2,3,6,4,5,1,8]=>[2,7,6,3,5,4,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,6,2,4,5,1,8]=>[2,6,3,7,5,4,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,6,1,4,5,3,8]=>[2,7,3,8,5,4,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,7,2,4,5,1,3]=>[3,1,2,7,5,4,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,5,7,4,8,6,3]=>[8,7,4,2,5,1,3,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,3,8,7,4,5,2,1]=>[3,6,1,2,5,4,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,5,3,2,8,1,7]=>[5,3,4,6,7,1,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,3,4,1,5,6,7]=>[7,1,6,5,8,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,4,3,5,8,1,7]=>[7,3,5,6,4,1,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,7,5,4,8,6,2]=>[8,6,2,4,5,1,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,8,7,5,4,1,6,2]=>[6,1,2,4,5,8,3,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,5,6,3,1,8,2,7]=>[5,4,3,6,8,1,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,6,3,8,1,2,7]=>[4,5,3,6,1,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,6,3,1,4,2,7]=>[4,1,3,6,8,5,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,7,1,4,3,6,2]=>[4,1,2,8,5,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,3,8,4,1,7]=>[7,3,4,6,1,5,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,4,8,3,1,7]=>[7,3,4,5,1,6,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,4,8,2,6,1]=>[6,2,4,5,1,7,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,7,1,2,8,4,6]=>[4,6,2,8,7,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,7,6,1,3,5,4]=>[7,1,2,3,8,6,4,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,7,5,4,8,1,6,3]=>[7,2,4,5,1,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,8,7,2,5,4,1]=>[3,6,1,2,7,4,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,7,6,1,5,3,4]=>[7,1,2,3,8,4,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,8,7,1,4,2,5]=>[3,6,1,2,8,5,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,8,7,1,2,4,5]=>[3,6,1,2,8,7,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,8,1,6,7,5,2,3]=>[5,1,8,3,2,4,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,4,1,7,5,2,3]=>[3,1,5,8,2,4,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,4,6,7,5,2,3]=>[1,8,5,3,2,4,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,8,1,2,7,5,3]=>[3,5,1,8,7,2,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,4,6,7,2,5,3]=>[1,8,5,3,2,7,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,6,1,7,4,5,3]=>[1,7,3,8,2,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,1,4,7,5,3]=>[3,7,1,8,5,2,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,8,1,6,7,5,3]=>[5,7,1,8,3,2,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,4,8,1,6,7,5,3]=>[7,5,1,8,3,2,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,8,6,1,7,5,3]=>[5,7,1,3,8,2,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,2,1,6,7,5,3]=>[5,1,7,8,3,2,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,2,1,4,7,5,3]=>[3,1,7,8,5,2,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,6,2,4,7,5,3]=>[1,8,3,7,5,2,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,2,4,1,7,5,3]=>[3,1,7,5,8,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,2,6,1,7,5,3]=>[5,1,7,3,8,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,4,6,1,7,5,3]=>[1,7,5,3,8,2,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,4,8,1,5,2,7]=>[6,3,5,1,8,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,5,7,1,3,4]=>[1,7,3,4,2,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,6,7,1,3,8,2]=>[4,5,3,2,8,6,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,4,8,2,3,6,5]=>[2,8,5,1,7,6,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,5,4,7,1,8,2]=>[6,3,4,5,2,8,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,8,3,5,2,6]=>[8,5,2,1,6,4,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,7,6,3,5,8,4,2]=>[8,2,3,6,4,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,1,4,8,3,7,6]=>[7,4,8,5,1,6,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,6,4,8,7,2]=>[6,4,8,3,5,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,3,5,1,7,4,8]=>[7,3,6,4,8,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,5,4,8,7,3]=>[3,8,7,4,5,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,2,8,5,4,7,3]=>[8,3,7,1,4,5,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,5,3,2,7,4,8]=>[3,8,4,6,7,2,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,2,1,8,5,3]=>[3,5,2,7,8,1,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,8,4,6,3,1,7,2]=>[4,1,5,3,6,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,5,6,8,3,1,7]=>[7,5,4,3,1,6,8,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,8,4,2,1,6,5,7]=>[6,1,5,7,8,3,4,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,4,7,1,2,6,8,5]=>[6,5,2,8,7,3,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,8,6,5,2,3,7]=>[5,8,1,3,4,7,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,4,5,8,6,2,1,7]=>[6,5,4,1,3,7,8,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,3,7,1,8,6,4]=>[7,4,6,2,8,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,6,2,5,1,7,3]=>[5,1,3,7,4,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,8,6,3,7,2]=>[5,4,8,1,3,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,2,4,5,3,8,6]=>[8,2,7,5,4,6,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,2,5,3,8,7]=>[8,5,3,7,4,6,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,8,7,1,3,5,4]=>[3,7,1,2,8,6,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,5,3,6,1,8,7,2]=>[5,4,6,3,8,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,7,2,1,6,5,4]=>[1,6,2,7,8,3,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,4,7,6,2,5,1,3]=>[1,5,2,3,7,4,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,7,3,6,2,1,5]=>[1,5,2,6,3,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,7,5,6,4,1,2]=>[6,1,2,4,3,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,7,5,6,2,1,4]=>[6,1,2,4,3,7,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,7,5,6,2,4,1]=>[6,1,2,4,3,7,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,7,5,6,4,1,3]=>[7,1,2,4,3,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,6,3,8,2,7,4]=>[8,4,3,6,1,7,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,8,4,7,1,5]=>[7,3,6,1,5,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,3,5,7,8,1,4]=>[7,3,6,4,2,1,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,5,3,6,2,8,4]=>[8,2,4,6,3,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,3,4,2,8,6]=>[8,4,2,6,5,7,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,8,3,4,2,7,6]=>[8,4,1,6,5,7,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,3,7,2,8,6]=>[8,5,4,6,2,7,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,3,8,2,7,6]=>[8,5,4,6,1,7,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,4,2,8,6,3]=>[8,2,4,5,7,1,3,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,1,2,7,5,3,6,8]=>[5,8,7,2,4,6,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,8,3,7,2,4]=>[4,8,3,1,6,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,7,2,4,5,8]=>[3,8,6,2,7,5,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,5,6,8,3,2,7]=>[5,8,4,3,1,6,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,2,1,4,7,6]=>[6,1,4,7,8,5,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,1,5,6,8,4,7,2]=>[6,8,4,3,1,5,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,8,2,5,4,7]=>[6,3,8,1,7,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,2,1,7,4,6]=>[4,1,6,7,8,2,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,4,8,2,6,5,3,7]=>[8,5,1,7,3,4,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,1,2,6,5,4,7]=>[6,1,8,7,3,4,5,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,5,6,4,3,7]=>[8,7,1,4,3,5,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,8,1,7,4,3,6]=>[4,7,1,8,2,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,2,5,6,8,7,3,4]=>[8,7,4,3,1,2,6,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,5,6,8,2,7,4,3]=>[8,4,3,1,7,2,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,1,8,2,7,4,5]=>[6,3,8,1,7,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,7,3,4,1,8,5]=>[7,3,2,6,5,8,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,7,8,2,4,3]=>[8,3,4,2,1,7,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,2,8,7,5,4]=>[6,3,8,7,1,2,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,7,2,6,4,8,5]=>[8,6,2,7,3,5,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,2,6,3,8,5]=>[8,5,2,7,3,6,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,8,1,4,7,3,5]=>[7,3,1,8,5,2,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,8,6,7,3,4,2]=>[8,4,1,3,2,6,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,8,7,2,4,3]=>[8,3,4,1,2,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,7,6,2,8,3,4]=>[8,4,2,3,7,1,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,5,8,6,7,4,3]=>[8,7,4,1,3,2,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,2,6,5,7,3,8,4]=>[8,7,3,4,2,6,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,8,6,4,2,3]=>[8,2,4,1,3,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,8,6,4,2,1,5]=>[2,6,1,3,5,7,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,6,5,8,1,2,7,4]=>[6,3,4,1,8,7,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,7,8,1,6,3,2]=>[4,5,2,1,8,3,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,6,8,1,3,7,4]=>[7,4,3,1,8,6,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,3,6,8,1,2,7,4]=>[4,6,3,1,8,7,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,5,8,3,2,7,1]=>[5,3,4,1,6,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,6,8,2,3,7,1]=>[5,4,3,1,7,6,2,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,8,7,1,6,4,3]=>[7,4,1,2,8,3,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,3,6,8,5,2,1,4]=>[2,6,3,1,4,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,3,6,7,5,2,4,1]=>[1,6,3,2,4,7,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,5,7,3,6,2,1]=>[1,5,4,2,6,3,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,7,8,5,6,3,1]=>[7,5,2,1,4,3,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,8,7,5,2,4,1]=>[6,3,1,2,4,7,5,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,8,4,6,5,3,1,2]=>[2,1,5,3,4,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,4,7,5,1,3,2]=>[3,1,5,2,4,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,5,4,3,1,6,8]=>[7,2,4,5,6,8,3,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,2,6,4,3,8,7,5]=>[8,7,3,5,6,1,2,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,5,8,3,1,4,2,7]=>[3,4,1,6,8,5,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,4,6,1,5,3,8]=>[7,2,5,3,8,4,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,3,1,6,5,4,8]=>[7,2,6,8,3,4,5,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,7,2,3,6,4]=>[8,1,4,2,7,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,6,8,1,7,5,4]=>[7,6,3,1,8,2,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,1,3,8,4,2,5,7]=>[3,8,6,1,5,7,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,1,7,2,3,4,6]=>[4,1,8,2,7,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,8,7,2,3,1,6,4]=>[4,1,2,7,6,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,1,4,7,2,6]=>[6,4,1,8,5,2,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,7,5,2,6,4,1]=>[6,1,2,4,7,3,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,6,3,1,8,7,2,5]=>[5,3,6,8,1,2,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,3,6,7,1,5,2,4]=>[1,6,3,2,8,4,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,2,4,7,6,1]=>[4,1,6,7,5,2,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,4,5,3,7,6,1,2]=>[1,5,4,6,2,3,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,2,1,3,4,7,6]=>[4,1,7,8,6,5,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,3,4,7,2,6,5,8]=>[8,6,5,2,7,3,4,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,1,4,3,6,7,8]=>[7,4,8,5,6,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,8,2,4,6,1,7]=>[4,6,1,7,5,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,8,3,2,6,1,7]=>[5,4,1,6,7,3,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,3,7,2,8,6,4]=>[8,4,6,2,7,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,7,1,2,8,6,5]=>[6,5,2,8,7,1,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,2,1,4,6,3,7]=>[4,1,7,8,5,3,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,8,3,6,2,7]=>[5,8,4,1,6,3,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,8,3,6,1,2,7]=>[5,4,1,6,3,8,7,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,7,8,3,5,2,4]=>[3,8,2,1,6,4,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,7,8,3,1,5,4]=>[7,3,2,1,6,8,4,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,2,7,1,8,5,4,6]=>[6,7,2,8,1,4,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,8,5,2,3,1,6]=>[5,2,1,4,7,6,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,2,7,8,1,5,3,4]=>[3,7,2,1,8,4,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,3,8,5,4,6]=>[7,2,8,6,1,4,5,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,7,8,4,1,3,5]=>[7,3,2,1,5,8,6,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,1,2,6,3,8,4,5]=>[2,8,7,3,6,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,6,7,2,3,5]=>[1,8,5,3,2,7,6,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,3,5,6,1,2,7,4]=>[1,6,4,3,8,7,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,8,1,2,5,4,6]=>[2,6,1,8,7,4,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,1,2,3,5,7,4]=>[3,1,8,7,6,4,2,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,3,8,1,2,5,6,4]=>[2,6,1,8,7,4,3,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,2,4,5,1,3,8,6]=>[2,7,5,4,8,6,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,8,3,2,4,5,6]=>[2,8,1,6,7,5,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,1,2,5,7,6,3,4]=>[1,8,7,4,2,3,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,7,3,1,2,4,5]=>[3,1,2,6,8,7,5,4]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,2,3,1,6,7,4,5]=>[1,7,6,8,3,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,6,8,4,1,3,5]=>[2,7,3,1,5,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,5,1,6,8,3,4]=>[2,7,4,8,3,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,8,3,2,7,4,5]=>[3,8,1,6,7,2,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,3,1,8,5,4,6]=>[2,7,6,8,1,4,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,2,5,7,6,8,3]=>[8,5,7,4,2,3,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,3,2,5,6,8]=>[8,2,5,6,7,4,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,7,4,3,6,2,5,8]=>[8,2,5,6,3,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,4,6,2,8,7]=>[4,8,6,5,3,7,1,2]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,5,7,2,6,1]=>[6,1,5,4,2,7,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,7,5,6,2,1]=>[6,1,5,2,4,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,8,6,3,7,5,1]=>[5,7,1,3,6,2,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,7,6,3,8,5,2]=>[5,8,2,3,6,1,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,5,6,8,4,7,1,2]=>[6,4,3,1,5,2,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,2,8,4,5,3,7,1]=>[3,7,1,5,4,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,2,1,8,7,3,6]=>[5,4,7,8,1,2,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,8,2,6,5,1]=>[5,2,6,1,7,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,7,1,2,5,8,4]=>[3,6,2,8,7,4,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,4,7,8,2,6,3]=>[4,8,5,2,1,7,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,5,8,1,3,6,4]=>[2,7,4,1,8,6,3,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,6,7,2,4,5,1]=>[1,6,3,2,7,5,4,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,7,5,2,1,6,4]=>[6,1,2,4,7,8,3,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,8,3,2,5,7,4,1]=>[3,1,6,7,4,2,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,2,4,5,7,8,3]=>[3,8,7,5,4,2,1,6]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,5,1,3,7,6,8,2]=>[5,4,8,6,2,3,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,4,5,8,7,1]=>[6,3,7,5,4,1,2,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,1,3,7,4,5,6,2]=>[1,8,6,2,5,4,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,8,7,4,6,3]=>[4,8,7,1,2,5,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,5,3,8,6,2]=>[5,8,2,4,6,1,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,1,5,3,4,6,7,2]=>[1,8,4,6,5,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,5,3,6,4,7,2]=>[1,8,4,6,3,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,1,3,7,8,6,2]=>[5,4,8,6,2,1,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,6,4,8,3,1,5,7]=>[7,3,5,1,6,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,3,8,1,4,5,6]=>[2,7,6,1,8,5,4,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,2,3,8,1,4,6,5]=>[2,7,6,1,8,5,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,4,1,5,8,7,3]=>[7,3,5,8,4,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,1,4,6,2,7,8]=>[6,4,8,5,3,7,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,3,5,1,4,8,6]=>[2,7,6,4,8,5,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,4,5,2,8,1,7]=>[6,3,5,4,7,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,5,6,3,7,2,4]=>[1,8,4,3,6,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,5,6,3,7,4,2]=>[1,8,4,3,6,2,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,4,5,2,7,8,1]=>[6,3,5,4,7,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,5,1,4,6,8]=>[2,7,6,4,8,5,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,1,5,4,7,3,6,2]=>[1,8,4,5,2,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,1,4,6,8,7,2]=>[6,4,8,5,3,1,2,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,6,4,1,5,7,2,8]=>[6,3,5,8,4,2,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,4,6,7,8,3]=>[7,4,8,5,3,2,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [8,1,5,4,7,6,3,2]=>[1,8,4,5,2,3,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,5,1,4,6,7,3,8]=>[7,4,8,5,3,2,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,6,4,1,5,7,8,2]=>[6,3,5,8,4,2,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,4,3,7,5,2,8,6]=>[8,5,6,2,4,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,4,3,1,8,5]=>[3,7,2,5,6,8,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,7,2,4,3,5,8,6]=>[8,2,7,5,6,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,3,4,5,1,8,6]=>[7,2,6,5,4,8,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,7,4,3,5,6,2]=>[1,8,2,5,6,4,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,2,4,5,3,7,1]=>[3,1,7,5,4,6,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,8,2,1,3,7,4]=>[4,3,1,7,8,6,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,8,5,3,6,1,7,2]=>[5,1,4,6,3,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,3,1,4,7,5,6]=>[7,1,6,8,5,2,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,3,8,6,4,2,1]=>[4,2,6,1,3,5,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,3,6,5,4,8,1,2]=>[2,6,3,4,5,1,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,2,3,8,6,7,5]=>[8,5,7,6,1,3,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,4,7,8,5,2]=>[3,8,6,5,2,1,4,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,3,1,8,4,5,6]=>[7,2,6,8,1,5,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,1,8,4,5,7,2]=>[6,3,8,1,5,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,8,7,3,6,1,5]=>[7,5,1,2,6,3,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,8,3,5,6,4,7]=>[8,7,1,6,4,3,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,7,4,8,1,6,2]=>[6,4,2,5,1,8,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,8,3,1,5,7,6]=>[5,7,1,6,8,4,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,1,3,5,4,6,7]=>[7,1,8,6,4,5,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,8,4,2,5,6,3,7]=>[8,1,5,7,4,3,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,8,6,4,3,7]=>[8,4,7,1,3,5,6,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,8,6,3,1,2,5]=>[2,5,1,3,6,8,7,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,7,8,5,2,1,3,6]=>[5,2,1,4,7,8,6,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [8,1,3,5,7,4,2,6]=>[1,8,6,4,2,5,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,8,5,4,7,2,6]=>[6,8,1,4,5,2,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,6,4,8,5,2,7]=>[6,8,3,5,1,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,3,4,2,6,8,7]=>[4,8,6,5,7,3,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,6,4,1,5,7,8]=>[6,7,3,5,8,4,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,2,5,1,8,7,3,6]=>[5,7,4,8,1,2,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,2,7,1,4,3,5]=>[3,1,7,2,8,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,7,3,2,5,6]=>[8,1,5,2,6,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,3,1,4,7,6,2]=>[4,1,6,8,5,2,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,2,5,4,7,8,3,6]=>[8,7,4,5,2,1,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,3,2,6,4,7,5]=>[8,1,6,7,3,5,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,2,5,3,6,8]=>[5,2,8,7,4,6,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,4,1,3,7,2,5]=>[3,1,5,8,6,2,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,6,1,7,8,5,4]=>[6,7,3,8,2,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,5,7,3,2,8,4,1]=>[3,4,2,6,7,1,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,8,3,6,4,7,1]=>[4,7,1,6,3,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,1,2,7,3,8]=>[4,5,3,8,7,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,6,4,8,1,3,7]=>[4,7,3,5,1,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,6,2,3,5,7,8,4]=>[8,3,7,6,4,2,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,2,5,1,3,4,8,6]=>[2,7,4,8,6,5,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,3,4,8,5,2,6,7]=>[8,6,5,1,4,7,3,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [8,2,4,6,1,7,3,5]=>[1,7,5,3,8,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,5,1,3,4,8]=>[3,7,2,4,8,6,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,5,7,1,2,3,8,4]=>[3,4,2,8,7,6,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,2,7,4,1,5,6,8]=>[6,7,2,5,8,4,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,7,2,1,5,6,8,3]=>[5,2,7,8,4,3,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,2,3,5,8,6,1,4]=>[2,7,6,4,1,3,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,2,3,6,7,1,4]=>[4,1,7,6,3,2,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,7,2,3,6,8,4]=>[8,4,2,7,6,3,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,7,1,5,3,6,8]=>[5,7,2,8,4,6,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,5,7,8,4,1,6]=>[6,7,4,2,1,5,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,7,8,2,5,1,6]=>[6,5,2,1,7,4,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,2,5,3,7,8,1,6]=>[5,7,4,6,2,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,3,5,1,6,2,7,8]=>[5,6,4,8,3,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,1,7,6,3,5,2]=>[5,1,8,2,3,6,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,7,6,2,1,3,4]=>[1,4,2,3,7,8,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,4,8,3,1,7,2,6]=>[4,5,1,6,8,2,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,4,8,3,2,7,6]=>[4,8,5,1,6,7,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,1,7,6,5,2,3]=>[5,1,8,2,3,4,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,8,7,2,6,1,5]=>[5,6,1,2,7,3,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,7,2,6,4,1,5]=>[6,1,2,7,3,5,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,7,4,6,1,2,5]=>[6,1,2,5,3,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,8,3,1,7,6]=>[7,4,5,1,6,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,8,2,1,3,7,6]=>[4,5,1,7,8,6,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,7,2,6,1,5,4]=>[6,1,2,7,3,8,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,7,6,5,2,4]=>[8,1,6,2,3,4,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,4,3,8,7,2,6,5]=>[8,5,6,1,2,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,1,5,2,3,6,4]=>[2,1,8,4,7,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,1,8,4,2,7,3]=>[4,3,8,1,5,7,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,6,4,1,5,3,2]=>[2,1,3,5,8,4,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,1,6,5,7,4,2,8]=>[6,8,3,4,2,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,1,7,4,2,3,8]=>[4,3,8,2,5,7,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,7,8,5,1,6,3]=>[5,7,2,1,4,8,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,6,4,5,2,1]=>[2,6,1,3,5,4,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,6,1,7,4,2,5]=>[6,1,3,8,2,5,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,8,3,1,7,4,5]=>[7,3,1,6,8,2,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,8,1,7,3,6]=>[7,4,5,1,8,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,1,2,5,7,3,4]=>[3,1,8,7,4,2,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,8,6,4,7,5,2,1]=>[6,1,3,5,2,4,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,3,1,4,2,7,8]=>[4,3,6,8,5,7,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,5,3,4,8,7,1]=>[7,3,4,6,5,1,2,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,5,4,2,6,7,8]=>[6,8,4,5,7,3,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,6,1,5,3,4,7,8]=>[7,3,8,4,6,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,3,6,7,4,1,8]=>[4,7,6,3,2,5,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,7,4,5,1,8]=>[6,3,7,2,5,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,7,1,6,4,5,8]=>[7,6,2,8,3,5,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,7,8,5,1,6,2]=>[6,5,2,1,4,8,3,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,2,4,7,8,5,1]=>[6,3,7,5,2,1,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,7,6,2,5,4,8,1]=>[6,2,3,7,4,5,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,6,4,8,7,2,1]=>[4,6,3,5,1,2,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,3,8,1,2,7,6,4]=>[4,6,1,8,7,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,1,8,6,5,3,7,4]=>[7,8,1,3,4,6,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,3,1,2,7,6,4]=>[4,1,6,8,7,2,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,4,6,5,8,2,1]=>[2,6,5,3,4,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,5,7,4,8,2,3]=>[3,8,4,2,5,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,3,7,5,2,6]=>[1,8,5,6,2,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,6,1,5,8,2,3]=>[2,5,3,8,4,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,5,1,2,3,6,7]=>[5,1,4,8,7,6,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,5,1,3,8,6,2,7]=>[5,4,8,6,1,3,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,7,1,3,6,8,5]=>[5,7,2,8,6,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,4,5,6,2,7,3,1]=>[1,5,4,3,7,2,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,3,6,4,7,2,1]=>[4,1,6,3,5,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,8,4,6,2,7,3]=>[8,4,1,5,3,7,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,6,2,8,4,3]=>[8,2,4,3,7,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,5,8,4,2,1]=>[2,6,3,4,1,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,7,3,8,5,4,6,1]=>[7,2,6,1,4,5,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,7,4,8,3,5]=>[7,8,3,2,5,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,8,5,1,2,6,3]=>[2,5,1,4,8,7,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,4,5,7,2,8,3,1]=>[3,5,4,2,7,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,1,3,6,4,5,2]=>[2,1,8,6,3,5,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,6,8,5,1,4,2]=>[2,6,3,1,4,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,8,1,6,2,4,3]=>[2,4,1,8,3,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,7,8,1,6,3,2,4]=>[4,2,1,8,3,6,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,8,5,1,4,3]=>[2,7,3,1,4,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,3,1,6,2,5,4]=>[2,1,6,8,3,7,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,8,4,3,1,5,2]=>[3,2,1,5,6,8,4,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,8,2,6,5,1,4]=>[6,2,1,7,3,4,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,2,1,6,4,5]=>[6,2,1,7,8,3,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,8,1,6,3,5,4,2]=>[2,1,8,3,6,4,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,8,3,1,5,4,2]=>[3,2,1,6,8,4,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,8,1,6,2,5,4,3]=>[2,1,8,3,7,4,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,1,4,3,8,2,7]=>[4,3,8,5,6,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,3,7,6,5,2]=>[5,8,1,6,2,3,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,1,6,8,5,4,3,2]=>[2,8,3,1,4,5,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,7,6,2,5,3,1,8]=>[5,2,3,7,4,6,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,6,5,4,2,3]=>[2,1,8,3,4,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,2,8,4,1,7,6]=>[6,4,7,1,5,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,8,2,5,3,1,7]=>[5,3,1,7,4,6,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,8,2,3,6,1,7]=>[5,4,1,7,6,3,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,6,8,1,5,3,2,4]=>[2,3,1,8,4,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,6,7,4,1,3,2,5]=>[1,3,2,5,8,6,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,7,4,1,2,3,5]=>[3,1,2,5,8,7,6,4]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,6,8,1,2,3,7,4]=>[4,3,1,8,7,6,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,8,2,4,7,3]=>[4,3,8,1,7,5,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,1,2,7,6,5,3]=>[5,1,8,7,2,3,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,6,1,2,8,5,7,3]=>[5,3,8,7,1,4,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,1,8,6,5,4]=>[6,2,7,8,1,3,4,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,4,7,3,2,6,1,8]=>[4,5,2,6,7,3,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,3,5,2,1,8]=>[3,5,2,6,4,7,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,2,7,5,1,4,6]=>[6,1,7,2,4,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,2,8,1,4,7,5]=>[6,3,7,1,8,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,8,2,1,6,3,5]=>[5,2,1,7,8,3,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,8,4,2,1,3,6]=>[4,2,1,5,7,8,6,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,4,8,3,1,2,7,5]=>[3,5,1,6,8,7,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,4,8,3,5,2,1,7]=>[3,5,1,6,4,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,6,2,5,7,8,4]=>[6,8,3,7,4,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,1,6,5,7,8,2,4]=>[6,8,3,4,2,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,5,2,7,3,4,8]=>[8,3,4,7,2,6,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,7,3,2,5,6,8]=>[8,5,2,6,7,4,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,1,6,5,7,3,4,8]=>[7,8,3,4,2,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,7,4,3,5,1,6,8]=>[7,2,5,6,4,8,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,6,7,4,2,5,8]=>[6,8,3,2,5,7,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,7,4,5,2,6,8]=>[8,6,2,5,4,7,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,4,8,3,5,1,7]=>[3,7,5,1,6,4,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,4,5,3,1,6,8]=>[7,2,5,4,6,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,2,4,6,8,3,7,5]=>[8,7,5,3,1,6,2,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,5,8,2,6,7,4]=>[8,6,4,1,7,3,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,1,8,3,6,5,4,7]=>[7,8,1,6,3,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,7,3,6,5,4,1]=>[7,1,2,6,3,4,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,4,5,8,3,7,1,2]=>[3,5,4,1,6,2,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,3,6,7,2,5]=>[1,8,5,6,3,2,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,8,4,3,1,7,5]=>[7,3,1,5,6,8,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,8,5,1,6,2,4,7]=>[6,1,4,8,3,7,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,5,2,6,4,3,7]=>[1,8,4,7,3,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,6,5,2,4,3,7]=>[1,8,3,4,7,5,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,6,5,1,2,4,7]=>[6,1,3,4,8,7,5,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,4,5,7,8,3,2,6]=>[8,5,4,2,1,6,7,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,7,8,4,3,6,2,5]=>[8,2,1,5,6,3,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,8,1,4,3,2,6]=>[4,2,1,8,5,6,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,8,7,4,3,2,6]=>[8,4,1,2,5,6,7,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,1,3,7,8,2,4,6]=>[4,8,6,2,1,7,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,8,4,3,2,6,5]=>[8,2,1,5,6,7,3,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,4,7,2,3,6,8,5]=>[8,5,2,7,6,3,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,2,6,7,8,5,4]=>[6,8,7,3,2,1,4,5]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,1,4,3,5,8,6]=>[7,2,8,5,6,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,5,7,3,4,2,6]=>[1,8,4,2,6,5,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,3,4,7,8,2,5]=>[8,3,6,5,2,1,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,7,6,2,8,4]=>[6,8,4,2,3,7,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,7,6,1,8,5]=>[7,5,6,2,3,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,6,5,2,8,4]=>[6,8,2,3,4,7,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,4,7,6,8,3,2,5]=>[8,5,2,3,1,6,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,2,8,7,6,4]=>[6,8,4,7,1,2,3,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,2,8,4,3,7,6,5]=>[8,7,1,5,6,2,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,1,8,7,4,3,5]=>[7,3,8,1,2,5,6,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,8,6,3,2,4,7]=>[4,8,1,3,6,7,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,5,4,2,8,6,3,7]=>[8,4,5,7,1,3,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,8,1,4,2,6,3]=>[4,2,1,8,5,7,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,8,1,7,5,4]=>[7,3,6,1,8,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,1,8,6,3,7,4]=>[7,4,8,1,3,6,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,6,4,1,7,3,5]=>[7,1,3,5,8,2,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,4,2,7,5,3,6]=>[8,1,5,7,2,4,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,1,7,5,3,6,4]=>[7,1,8,2,4,6,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,8,7,6,4,3,5]=>[8,7,1,2,3,5,6,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [4,1,7,8,6,3,5,2]=>[5,8,2,1,3,6,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,5,7,8,4,2,3]=>[8,3,4,2,1,5,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,8,7,6,3,5,2]=>[5,8,1,2,3,6,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,2,6,3,5,1,7]=>[5,1,7,3,6,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,7,1,6,2,8]=>[5,6,4,2,8,3,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,5,3,6,2,7]=>[5,8,1,4,6,3,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,5,8,2,7,4,6]=>[6,8,4,1,7,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,8,5,4,6,2,7]=>[6,8,1,4,5,3,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,8,4,5,3,2,7]=>[3,8,1,5,4,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,2,7,1,6,3,8]=>[5,4,7,2,8,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,7,1,6,8,2]=>[5,6,4,2,8,3,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,8,5,3,6,7,2]=>[5,8,1,4,6,3,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,8,4,5,1,7,2]=>[3,6,1,5,4,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,1,8,5,7,4,3]=>[7,3,8,1,4,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,3,8,4,5,2,1,7]=>[3,6,1,5,4,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,5,8,7,2,3,4,1]=>[3,4,1,2,7,6,5,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,8,4,5,2,7,1]=>[3,6,1,5,4,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,8,5,4,7,1]=>[6,7,3,1,4,5,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,5,2,6,3,7]=>[5,8,1,4,7,3,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,6,8,5,2,4,7]=>[6,8,3,1,4,7,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,8,7,4,1,2,3]=>[3,4,1,2,5,8,7,6]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,5,8,7,4,2,1,3]=>[3,4,1,2,5,7,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,5,8,7,2,4,1,3]=>[3,4,1,2,7,5,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,8,4,5,7,1,3]=>[3,7,1,5,4,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,8,4,5,7,3,2]=>[3,8,1,5,4,2,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,7,3,5,8,6,1]=>[5,7,2,6,4,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,6,2,4,8,5,7,1]=>[6,3,7,5,1,4,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,5,2,8,6,1]=>[5,2,6,4,7,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,1,8,4,7,6,2]=>[6,4,8,1,5,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,1,8,5,4,7,2]=>[6,3,8,1,4,5,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,8,3,7,6,5,1]=>[7,5,1,6,2,3,4,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,8,2,5,7,4,1]=>[6,3,1,7,4,2,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,7,8,4,6,3,2]=>[4,8,2,1,5,3,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,8,5,4,3,7,1]=>[7,3,1,4,5,6,2,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,8,2,5,4,7,1]=>[6,3,1,7,4,5,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,8,3,5,7,1]=>[5,3,7,1,6,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,1,8,5,7,4,2]=>[6,3,8,1,4,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,8,4,1,7,3]=>[4,7,3,1,5,8,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,3,8,7,2,5,1]=>[5,3,6,1,2,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,8,2,7,4,6,1]=>[6,4,1,7,2,5,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,8,5,1,4,3]=>[7,3,2,1,4,8,5,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,1,5,2,3,8,4,6]=>[2,8,4,7,6,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,6,3,4,1,8,5]=>[7,2,3,6,5,8,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,3,1,2,8,4]=>[4,2,3,6,8,7,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,5,1,4,8,2,3]=>[3,2,4,8,5,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,2,1,7,5,6,3]=>[5,1,7,8,2,4,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,8,5,7,2,4,1]=>[3,6,1,4,2,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,4,8,6,2,3,7]=>[8,4,5,1,3,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,4,7,1,5,6,2]=>[1,6,5,2,8,4,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,1,7,4,8,3,6]=>[7,4,8,2,5,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,4,2,8,3,6]=>[4,8,2,5,7,1,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,8,1,7,5,3,4]=>[3,7,1,8,2,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,6,8,1,7,5,4]=>[6,7,3,1,8,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,8,7,5,1,6,3]=>[5,7,1,2,4,8,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,7,6,4,5,2,1]=>[1,6,2,3,5,4,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,5,1,8,7,6,2,4]=>[6,4,8,1,2,3,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,2,7,8,1,3,4]=>[4,3,7,2,1,8,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,5,1,3,4,6,8]=>[7,2,4,8,6,5,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,7,3,1,2,5,6,8]=>[5,2,6,8,7,4,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,7,3,5,6,8,1,2]=>[5,2,6,4,3,1,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,7,8,3,5,6,1,2]=>[5,2,1,6,4,3,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,8,3,5,1,2,6]=>[5,2,1,6,4,8,7,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,1,4,8,6,7]=>[6,7,4,8,5,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,5,6,8,4,7,1]=>[6,7,4,3,1,5,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,4,6,5,2,3,7,1]=>[1,5,3,4,7,6,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,5,2,6,3,7,1]=>[1,5,4,7,3,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,6,4,8,3,7,1]=>[7,4,3,5,1,6,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,7,3,8,1,6]=>[5,7,4,2,6,1,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,1,6,8,2,5]=>[5,2,6,8,3,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,3,6,7,1,8,5]=>[5,7,6,3,2,8,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,7,6,8,1,3,5]=>[5,7,2,3,1,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,2,5,7,6,3,8,4]=>[8,7,4,2,3,6,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,7,8,6,5,2,4]=>[8,6,2,1,3,4,7,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,5,7,3,2,8,4]=>[8,3,4,2,6,7,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,6,8,1,7,3,4]=>[4,7,3,1,8,2,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,7,1,3,8,4]=>[4,7,3,2,8,6,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,4,3,7,1,8,5]=>[3,7,5,6,2,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,7,6,1,8,3,4]=>[4,7,2,3,8,1,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,3,7,1,2,8,4]=>[4,3,6,2,8,7,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,2,5,6,3,1,8]=>[5,2,7,4,3,6,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,2,7,6,4,8,5]=>[8,6,7,2,3,5,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,3,6,7,8,2,4]=>[4,8,6,3,2,1,7,5]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,5,8,3,7,2,4]=>[3,8,4,1,6,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,7,5,3,8,6]=>[5,8,7,2,4,6,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,3,5,7,8,2,6]=>[5,8,6,4,2,1,7,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,7,5,3,8,6]=>[8,7,5,2,4,6,1,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,1,5,8,4,3,2,7]=>[3,8,4,1,5,6,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,4,3,7,8,2,6]=>[4,8,5,6,2,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,3,7,2,4,8,5]=>[3,8,6,2,7,5,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,4,1,8,3,2,7]=>[4,3,5,8,1,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,2,1,7,8,3,6]=>[5,4,7,8,2,1,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,5,6,3,4,1,8]=>[2,7,4,3,6,5,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,7,8,5,1,6,4]=>[7,6,2,1,4,8,3,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,2,8,5,7,4,3,1]=>[3,7,1,4,2,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,1,7,6,2,3,8,5]=>[5,8,2,3,7,6,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,2,6,7,4,3,5,8]=>[8,7,3,2,5,6,4,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,7,4,5,1,8,2]=>[6,3,2,5,4,8,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,6,3,4,1,2,7]=>[4,1,3,6,5,8,7,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,3,1,8,5,4,7]=>[3,7,6,8,1,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,2,6,4,8,3,7]=>[4,8,7,3,5,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,8,6,1,3,7]=>[5,4,7,1,3,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,8,2,5,6,1,7]=>[6,5,1,7,4,3,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,5,6,3,7,1,4,2]=>[1,4,3,6,2,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,3,6,7,4,5,1]=>[7,1,6,3,2,5,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,7,8,3,4,6,1]=>[7,4,2,1,6,5,3,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [8,1,3,6,5,4,7,2]=>[1,8,6,3,4,5,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,3,2,5,7,4,6]=>[1,8,6,7,4,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,7,8,5,1,4,2]=>[3,6,2,1,4,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,2,7,5,3,1,4]=>[3,1,7,2,4,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,7,2,8,4,1,3]=>[4,3,2,7,1,5,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,7,6,2,8,5]=>[6,5,8,2,3,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,7,1,3,5,2,4]=>[3,1,2,8,6,4,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,3,6,4,1,7,2]=>[4,1,6,3,5,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,8,5,2,7,1,6]=>[5,6,1,4,7,2,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,8,2,4,3,1,7]=>[4,3,1,7,5,6,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,8,3,2,1,4,6]=>[2,4,1,6,7,8,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,6,4,5,7,2,1,8]=>[6,3,5,4,2,7,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,7,4,5,2,1,8]=>[6,3,2,5,4,7,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,8,5,7,1,3,2]=>[5,3,1,4,2,8,6,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,1,5,8,3,6]=>[7,5,2,8,4,1,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,4,7,5,3,6,2]=>[1,8,5,2,4,6,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,7,1,6,4,8,2]=>[6,4,2,8,3,5,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,1,7,4,2,8]=>[6,3,4,8,2,5,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,5,1,6,3,7]=>[7,1,5,4,8,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,7,4,1,5,3,8]=>[7,3,2,5,8,4,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,5,8,4,7,1,6]=>[6,7,4,1,5,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,8,7,4,2,6]=>[6,4,8,1,2,5,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,6,1,2,5,3,4]=>[2,1,3,8,7,4,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,1,3,8,2,7,5]=>[5,3,8,6,1,7,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,2,3,7,5,4]=>[3,1,8,7,6,2,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,7,6,8,1,4,5]=>[7,6,2,3,1,8,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,1,8,4,7,2,6]=>[6,4,8,1,5,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,7,4,3,1,5]=>[1,7,3,2,5,6,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,7,8,3,2,4,6]=>[4,8,2,1,6,7,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,7,6,2,8,5,4]=>[6,8,2,3,7,1,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,4,5,1,8,7,6,3]=>[7,5,4,8,1,2,3,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [8,2,7,3,1,4,6,5]=>[1,7,2,6,8,5,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,7,3,1,5,2,4]=>[3,1,2,6,8,4,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,6,8,2,1,4,7,5]=>[6,3,1,7,8,5,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,1,4,2,8,7,3,5]=>[3,8,5,7,1,2,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,4,6,8,5,7,1]=>[6,7,5,3,1,4,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,6,4,5,8,2,3]=>[8,2,3,5,4,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,6,8,4,5,1]=>[6,2,7,3,1,5,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,5,7,8,3,1]=>[3,7,5,4,2,1,6,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,5,2,7,8,3,1]=>[5,3,4,7,2,1,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,6,2,7,8,3,1]=>[4,5,3,7,2,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,3,8,7,2,6,4,5]=>[8,6,1,2,7,3,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,1,8,6,4,2,7,3]=>[4,8,1,3,5,7,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,7,1,8,2,4,6,5]=>[6,2,8,1,7,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,8,1,4,6,3,7]=>[7,4,1,8,5,3,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,8,3,1,5,6,4]=>[2,7,1,6,8,4,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,7,2,3,8,6,1]=>[4,5,2,7,6,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,4,6,2,3,1,8,7]=>[4,5,3,7,6,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,8,1,3,4,2]=>[3,4,2,1,8,6,5,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,7,6,8,4,5,3]=>[7,8,2,3,1,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,8,1,3,2,4]=>[3,4,2,1,8,6,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,7,2,8,3,1,5]=>[3,5,2,7,1,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,3,1,5,2,8,6]=>[5,2,6,8,4,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,1,7,5,8,2]=>[5,3,6,8,2,4,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,3,1,2,8,6]=>[4,2,5,6,8,7,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,7,3,6,5,2,8,1]=>[5,2,6,3,4,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,6,3,1,5,8,2]=>[5,2,3,6,8,4,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,4,7,3,8,5,1,6]=>[7,5,2,6,1,4,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,1,7,4,8,6]=>[7,4,6,8,2,5,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,3,1,7,5,8,6]=>[7,5,6,8,2,4,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,8,6,5,1,4]=>[7,2,6,1,3,4,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,3,1,7,4,5,6]=>[7,1,6,8,2,5,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,5,2,1,4,8,3]=>[3,2,4,7,8,5,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,6,2,1,5,3,4]=>[2,1,3,7,8,4,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,6,3,2,5,1,4]=>[2,1,3,6,7,4,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,6,3,8,4,2,5]=>[2,8,3,6,1,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,4,2,6,1,7,3]=>[4,1,5,7,3,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,8,5,3,1,2]=>[3,2,5,1,4,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,6,3,5,2,1,4]=>[2,1,3,6,4,7,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,5,7,8,3,4]=>[8,3,7,4,2,1,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,7,8,2,5,4,6,3]=>[8,2,1,7,4,5,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,8,3,4,7,5]=>[8,7,3,1,6,5,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,2,5,3,7,8,4]=>[8,3,7,4,6,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,2,6,7,3,5,4]=>[8,1,7,3,2,6,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,8,4,7,2,5]=>[8,6,3,1,5,2,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,6,8,3,2,4,7]=>[8,4,3,1,6,7,5,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,8,2,7,3,5,6,4]=>[8,1,7,2,6,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,3,2,7,4,6,5]=>[8,1,6,7,2,5,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,8,5,3,4,7,6]=>[8,7,1,4,6,5,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,6,5,4,8,2,7]=>[8,6,3,4,5,1,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,2,3,8,4,6,5]=>[8,2,7,6,1,5,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,7,2,8,3,6]=>[8,4,5,2,7,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,5,6,2,7,1,3]=>[1,5,4,3,7,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,7,1,5,2,8,3]=>[5,3,2,8,4,7,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,5,2,6,1,8,4]=>[6,2,4,7,3,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,2,6,1,7,4]=>[6,1,4,7,3,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,8,5,2,6,1]=>[6,2,5,1,4,7,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,1,5,2,8,7,4]=>[6,3,8,4,7,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,2,6,5,3,4,7]=>[1,8,7,3,4,6,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,4,2,5,6,1,8]=>[6,2,5,7,4,3,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,3,4,2,5,8]=>[3,2,8,6,5,7,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,7,1,3,4,2,5]=>[3,1,2,8,6,5,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,2,8,6,7,5,1]=>[6,5,7,1,3,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,8,6,1,4,2,5]=>[6,2,1,3,8,5,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,1,5,2,7,8,4]=>[6,3,8,4,7,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,4,2,5,7,6,1]=>[6,1,5,7,4,2,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,1,6,8,3,4,2,5]=>[2,8,3,1,6,5,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,6,3,5,7,4]=>[1,8,7,3,6,4,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,8,1,2,6,3,5]=>[2,5,1,8,7,3,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,8,4,7,1,3,5]=>[3,7,1,5,2,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,4,2,5,7,1,6]=>[1,6,5,7,4,2,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,8,4,2,5,6,1]=>[6,2,1,5,7,4,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,8,4,2,5,6,1,7]=>[6,1,5,7,4,3,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,5,2,8,4,7]=>[6,3,8,4,7,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,3,4,8,5,2,6]=>[2,8,6,5,1,4,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,4,2,5,8,6]=>[2,8,6,5,7,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,2,6,8,5,1,7]=>[6,5,7,3,1,4,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,4,2,5,6,8]=>[2,8,6,5,7,4,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,1,4,2,5,7,8]=>[6,3,8,5,7,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,8,2,7,5,4,1,3]=>[3,1,7,2,4,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,4,3,7,6,2,5]=>[8,1,5,6,2,3,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,8,7,1,2,6,5]=>[5,6,1,2,8,7,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,8,4,5,7,6,2,3]=>[8,1,5,4,2,3,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,3,8,5,7,1,6,2]=>[5,6,1,4,2,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,8,4,7,1,6,2]=>[4,6,1,5,2,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,8,7,1,4,6,3]=>[4,7,1,2,8,5,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,8,7,1,6,4,5]=>[6,7,1,2,8,3,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,8,3,1,6,4,5]=>[7,2,1,6,8,3,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,8,5,1,4,6,3]=>[7,2,1,4,8,5,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,8,7,4,1,6,2]=>[6,4,1,2,5,8,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,4,6,8,3,5,1,2]=>[2,5,3,1,6,4,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,8,1,3,6,4,5]=>[7,2,1,8,6,3,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,8,1,5,4,6,3]=>[7,2,1,8,4,5,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,8,1,4,5,6,3]=>[7,2,1,8,5,4,3,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,7,8,6,3,1,2]=>[5,4,2,1,3,6,8,7]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,4,6,8,7,3,1,2]=>[4,5,3,1,2,6,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,8,6,7,1,3,2]=>[5,4,1,3,2,8,6,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,8,2,1,3,4]=>[4,2,3,1,7,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,6,8,2,4,1,5]=>[6,2,3,1,7,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,8,6,3,1,2]=>[4,5,2,1,3,6,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,7,8,2,6,1,3]=>[5,4,2,1,7,3,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,1,7,5,4,3,6,2]=>[1,8,2,4,5,6,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,1,3,4,8,5,7,2]=>[3,8,6,5,1,4,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,4,2,1,6,8]=>[4,2,6,5,7,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,5,3,8,4,7,2]=>[3,8,4,6,1,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,6,7,2,5,3]=>[5,8,1,3,2,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,2,8,3,6,7,5,4]=>[8,7,1,6,3,2,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [8,3,6,1,2,5,4,7]=>[1,6,3,8,7,4,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,7,2,8,6,3,5]=>[5,8,2,7,1,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,6,7,8,2,5,3]=>[8,5,3,2,1,7,4,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,7,1,6,2,4,5,8]=>[6,2,8,3,7,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,1,3,4,8,6,2,5]=>[2,8,6,5,1,3,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,6,2,5,4,7,3]=>[8,1,3,7,4,5,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,1,6,7,2,8]=>[4,6,5,8,3,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,8,3,4,7,1,6]=>[4,7,1,6,5,2,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,4,1,7,5,2,6]=>[6,1,5,8,2,4,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,5,1,2,3,8]=>[5,2,3,4,8,7,6,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,2,7,4,8,3,1,5]=>[3,7,2,5,1,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,5,2,8,1,3,7]=>[3,5,4,7,1,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,8,5,1,4,3,7,6]=>[7,1,4,8,5,6,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,5,2,1,7,3]=>[5,1,3,4,7,8,2,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,6,4,8,7,2,3,1]=>[4,3,5,1,2,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,8,2,5,7,3,4]=>[8,3,1,7,4,2,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,4,2,7,6,8,3]=>[8,4,5,7,2,3,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,7,5,1,4,3]=>[3,1,7,2,4,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,4,5,6,1,7,2]=>[1,6,5,4,3,8,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,5,7,3,1,8]=>[5,7,3,4,2,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,6,5,8,4,1,7]=>[6,7,3,4,1,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,6,5,8,7,1,4]=>[6,7,3,4,1,2,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,6,5,8,7,1,3]=>[5,7,3,4,1,2,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,6,4,8,7,1,3]=>[4,7,3,5,1,2,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,7,6,8,2,1,3]=>[4,5,2,3,1,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,7,5,8,6,1,3]=>[5,7,2,4,1,3,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,7,5,8,4,1,6]=>[6,7,2,4,1,5,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,7,2,8,5,1,6]=>[5,6,2,7,1,4,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,6,2,8,5,1,7]=>[5,6,3,7,1,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,7,6,8,5,1,2]=>[5,6,2,3,1,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,7,6,8,2,1,4]=>[4,6,2,3,1,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,7,2,8,6,1,4]=>[4,6,2,7,1,3,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,6,4,8,7,1,5]=>[6,7,3,5,1,2,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,7,3,8,6,1,5]=>[5,7,2,6,1,3,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,7,6,8,3,1,4]=>[4,7,2,3,1,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,7,6,8,4,1,5]=>[6,7,2,3,1,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,7,6,8,5,1,4]=>[6,7,2,3,1,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,7,5,8,4,1,3]=>[3,7,2,4,1,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,1,7,3,2,5,6]=>[5,1,8,2,6,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,4,8,2,1,5,6]=>[6,2,5,1,7,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,8,2,5,4,6,1]=>[6,2,1,7,4,5,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,8,3,2,6,1]=>[5,2,4,1,6,7,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,1,3,2,5,8,4]=>[3,2,8,6,7,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,3,4,8,1,6]=>[2,7,4,6,5,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,8,3,5,1,6,2]=>[2,5,1,6,4,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,6,8,7,1,2,3]=>[4,5,3,1,2,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,6,2,4,1,8,7]=>[4,6,3,7,5,8,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,6,2,3,5,4,1]=>[2,1,3,7,6,4,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,2,6,3,7,4,1]=>[4,1,7,3,6,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,2,3,7,5,6,1]=>[5,1,7,6,2,4,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,7,6,4,2,1]=>[6,1,4,2,3,5,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,8,6,3,5,4,2,1]=>[2,1,3,6,4,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,2,7,5,3,8,4,1]=>[3,7,2,4,6,1,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,4,8,3,7,5,6,1]=>[7,5,1,6,2,4,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,7,5,6,2,1]=>[5,1,6,2,4,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,5,8,3,7,4,1]=>[3,7,4,1,6,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,3,8,2,5,6,1]=>[5,2,6,1,7,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,5,6,3,7,4,1]=>[1,7,4,3,6,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,3,7,1,2,6,8]=>[5,4,6,2,8,7,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,4,7,3,1,2,5,8]=>[3,5,2,6,8,7,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,8,4,1,3,5,2,7]=>[3,1,5,8,6,4,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,6,7,4,1,3,8]=>[4,7,3,2,5,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,2,7,4,1,3,8]=>[4,3,7,2,5,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,6,4,1,3,2,7]=>[1,4,3,5,8,6,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,5,1,4,3,2,6]=>[2,1,4,8,5,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,7,2,8,4,3,1,5]=>[3,2,7,1,5,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,8,3,1,5,2,6]=>[5,2,1,6,8,4,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,8,1,3,2,6,7]=>[5,4,1,8,6,7,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,8,1,6,3,2,5]=>[5,2,1,8,3,6,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,8,1,2,6,4,3]=>[4,2,1,8,7,3,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,1,3,8,6,5,2]=>[5,2,8,6,1,3,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,6,7,4,3,8,1,5]=>[7,3,2,5,6,1,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,4,5,8,1,2]=>[6,2,3,5,4,1,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,6,5,4,8,1,2]=>[6,2,3,4,5,1,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,2,8,3,4,6,1]=>[4,2,7,1,6,5,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,2,8,5,6,4,1]=>[6,2,7,1,4,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,5,8,4,7,6,2]=>[6,8,4,1,5,2,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,6,8,4,3,7,2]=>[8,4,3,1,5,6,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,1,5,8,6,4,7,2]=>[6,8,4,1,3,5,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,2,8,5,3,6,1]=>[5,2,7,1,4,6,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,8,6,4,5,7,1]=>[7,6,1,3,5,4,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,8,6,4,7,5,1]=>[7,6,1,3,5,2,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,6,1,8,7,3,4]=>[7,4,3,8,1,2,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,8,4,7,5,1]=>[6,3,7,1,5,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,8,6,7,4,5,1]=>[7,6,1,3,2,5,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,5,7,4,6,1]=>[7,6,1,4,2,5,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,8,7,4,6,1]=>[6,4,7,1,2,5,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,6,8,7,3,4,2]=>[8,4,3,1,2,6,5,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,8,7,6,4,5,1]=>[7,6,1,2,3,5,4,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,5,6,3,1,4,2,7]=>[1,4,3,6,8,5,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,6,1,3,4,2,7]=>[1,4,3,8,6,5,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,5,6,3,4,2,7]=>[1,8,4,3,6,5,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,5,3,6,4,2,7]=>[1,8,4,6,3,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,5,6,4,1,2,7]=>[1,6,4,3,5,8,7,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,8,5,6,2,4,7]=>[8,6,1,4,3,7,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,5,6,1,4,2,7]=>[6,1,4,3,8,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,5,6,4,1,2,7]=>[6,1,4,3,5,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,8,3,4,6,2,1]=>[4,2,1,6,5,3,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,8,6,4,1,2,7]=>[6,4,1,3,5,8,7,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,5,1,8,6,4,2,7]=>[6,4,8,1,3,5,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,5,8,6,2,4,7]=>[8,6,4,1,3,7,5,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,3,8,6,4,2,7]=>[8,4,6,1,3,5,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,3,8,6,4,2,7]=>[4,8,6,1,3,5,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,8,1,6,4,2,7]=>[4,6,1,8,3,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,8,6,4,1,2,7]=>[4,6,1,3,5,8,7,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,8,3,1,6,4,2,7]=>[4,1,6,8,3,5,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,1,3,6,4,2,7]=>[4,1,8,6,3,5,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,3,6,4,2,7]=>[4,8,1,6,3,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,8,3,6,4,2,7]=>[8,4,1,6,3,5,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,8,3,6,4,2,1]=>[2,4,1,6,3,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,5,8,6,3,4,2,7]=>[8,4,1,3,6,5,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,8,2,5,6,4,3]=>[8,2,1,7,4,3,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,1,8,3,6,4,2,5]=>[2,8,1,6,3,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,8,3,6,4,1,2,5]=>[2,1,6,3,5,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,3,8,6,4,2,5]=>[2,8,6,1,3,5,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,5,8,2,6,4,1]=>[6,2,4,1,7,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,7,8,4,2,6,5]=>[6,8,2,1,5,7,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,8,1,4,6,2,3]=>[4,2,1,8,5,3,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,8,4,6,1,2,3]=>[4,2,1,5,3,8,7,6]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,7,8,4,2,6,5]=>[8,6,2,1,5,7,3,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,1,2,5,3,4,7,8]=>[3,8,7,4,6,5,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,2,5,4,3,7,8]=>[3,8,7,4,5,6,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,4,6,7,3,2,8]=>[4,8,5,3,2,6,7,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,6,5,7,2,3,8]=>[8,5,3,4,2,7,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,6,7,3,5,4,2]=>[1,8,3,2,6,4,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,4,1,6,5,3,8]=>[2,7,5,8,3,4,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,6,5,7,1,3,8]=>[5,7,3,4,2,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,5,7,3,1,4,8]=>[3,7,4,2,6,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,5,4,1,6,7,3]=>[1,7,4,5,8,3,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,5,1,3,6,7,4]=>[7,1,4,8,6,3,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,5,6,1,2,7,4]=>[6,1,4,3,8,7,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,7,5,4,2,6,3]=>[1,8,2,4,5,7,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,2,6,4,7,3,5,8]=>[8,7,3,5,2,6,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,8,3,2,6,1,4]=>[4,2,1,6,7,3,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,4,3,7,2,5,1]=>[3,1,5,6,2,7,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,4,3,8,2,1,5]=>[3,2,5,6,1,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,5,1,3,8,2,6]=>[2,5,4,8,6,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,4,5,1,3,7,6,2]=>[1,5,4,8,6,2,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,5,6,7,1,3,4,2]=>[1,4,3,2,8,6,5,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,6,8,1,3,2,4]=>[2,4,3,1,8,6,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,7,3,2,4,1]=>[3,1,4,2,6,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,8,2,6,5,1,3]=>[5,2,1,7,3,4,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,7,5,4,2,3,1]=>[3,1,2,4,5,7,6,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,1,3,2,4,6,5,8]=>[2,8,6,7,5,3,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,3,5,1,6,8,4]=>[2,7,6,4,8,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,1,4,6,8,5]=>[2,7,6,8,5,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,3,1,4,8,6,5]=>[7,2,6,8,5,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,6,3,7,8,5,2]=>[8,5,3,6,2,1,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,6,5,7,8,4,2]=>[6,8,3,4,2,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,2,6,5,8,4,7,3]=>[8,7,3,4,1,5,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,6,8,1,3,5,2]=>[5,2,3,1,8,6,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,2,5,1,6,8,4]=>[6,2,7,4,8,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,7,3,2,8,5]=>[5,8,3,2,6,7,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,2,5,6,8,4,3]=>[8,2,7,4,3,1,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,7,6,8,3,1,5,2]=>[5,2,3,1,6,8,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,5,8,4,3,7]=>[7,8,3,4,1,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,4,7,3,1,6,8]=>[7,4,5,2,6,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,8,6,1,7,3,2]=>[4,5,1,3,8,2,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,4,5,7,1,8,2]=>[6,3,5,4,2,8,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,4,7,1,8,6,2]=>[6,4,5,2,8,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,2,4,5,7,1,6]=>[6,1,7,5,4,2,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,3,6,4,5,2,8]=>[2,8,6,3,5,4,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,1,3,8,2,7]=>[3,5,4,8,6,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,5,1,3,6,2,8]=>[2,5,4,8,6,3,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,6,4,5,1,2,8]=>[2,6,3,5,4,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,8,7,3,6,5,4]=>[7,8,1,2,6,3,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,8,2,7,1,3,6,4]=>[4,1,7,2,8,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,5,4,1,3,7,8]=>[7,3,4,5,8,6,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,1,5,7,6,3,2,8]=>[5,8,4,2,3,6,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,4,2,1,8,7,5]=>[3,6,5,7,8,1,2,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,5,1,7,6,3,2,8]=>[5,4,8,2,3,6,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,4,1,7,8,3,6]=>[7,4,5,8,2,1,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,6,1,4,5,2,8]=>[2,6,3,8,5,4,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,6,3,1,5,2,7]=>[5,1,3,6,8,4,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,1,4,8,3,6,2,7]=>[4,8,5,1,6,3,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,4,5,3,8,2,7]=>[3,8,5,4,6,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,6,8,4,5,3]=>[8,2,7,3,1,5,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,6,7,8,5,3]=>[8,5,7,3,2,1,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,4,2,5,6,8,7,3]=>[8,5,7,4,3,1,2,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,4,6,5,7,2,8,3]=>[8,5,3,4,2,7,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,6,7,8,4,1]=>[7,4,6,3,2,1,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,8,6,2,4,3,5,7]=>[8,1,3,7,5,6,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,8,3,1,7,2,4]=>[3,4,1,6,8,2,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,4,5,7,8,1,6]=>[6,7,5,4,2,1,8,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,4,7,5,8,6,1]=>[7,6,5,2,4,1,3,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,2,4,8,5,1,7]=>[6,3,7,5,1,4,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,4,7,3,5,6]=>[8,1,7,5,2,6,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,3,2,7,4,5,6]=>[1,8,6,7,2,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,5,4,2,1,6,3]=>[2,1,4,5,7,8,3,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,8,3,2,6,5,4,1]=>[2,1,6,7,3,4,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,1,8,6,4,3,7,2]=>[4,8,1,3,5,6,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,2,6,3,7,5,1,4]=>[1,7,3,6,2,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,7,4,1,3,2,5]=>[3,1,2,5,8,6,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,6,7,2,5,3,1,4]=>[1,3,2,7,4,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,2,7,8,4,5,3]=>[8,3,7,2,1,5,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,2,7,5,3,4]=>[8,3,1,7,2,4,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,3,1,2,8,6,4]=>[4,2,6,8,7,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,7,4,3,8,6,2]=>[4,8,2,5,6,1,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,7,1,4,8,2,5,3]=>[3,2,8,5,1,7,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,6,4,2,3,5]=>[8,2,1,3,5,7,6,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,5,3,7,4,2,6,8]=>[8,4,6,2,5,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,6,4,3,2,8,5]=>[8,2,3,5,6,7,1,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,7,6,4,3,2,5,8]=>[8,2,3,5,6,7,4,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,7,6,3,4,2,5,8]=>[8,2,3,6,5,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,7,4,3,8,6,5]=>[8,7,2,5,6,1,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,6,3,5,2,4,8]=>[8,2,3,6,4,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,7,3,2,8,6]=>[8,4,5,2,6,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,6,3,5,2,8,4]=>[8,2,3,6,4,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,7,4,3,6,5,8]=>[8,7,2,5,6,3,4,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,4,2,3,8,7,6]=>[8,4,5,7,6,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,6,4,5,2,3,8]=>[8,2,3,5,4,7,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,2,4,6,7,8]=>[8,4,6,7,5,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,5,3,7,6,2,4,8]=>[8,4,6,2,3,7,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,2,7,5,3,6,8,4]=>[8,7,2,4,6,3,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,1,3,2,6,5,7,4]=>[1,8,6,7,3,4,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,7,2,8,1,6,5]=>[5,6,2,7,1,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,7,5,6,1,8,4]=>[6,7,2,4,3,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,6,1,3,2,8,4]=>[2,4,3,8,6,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,4,1,8,2,6,5]=>[2,6,5,8,1,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,5,1,6,3,8,2]=>[2,5,4,8,3,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,6,1,4,3,8,2]=>[2,4,3,8,5,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,7,6,8,3,5,1]=>[5,7,2,3,1,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,4,8,5,7,1]=>[6,7,3,5,1,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,8,3,6,5,7,1]=>[5,7,1,6,3,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,3,5,2,7,6]=>[1,8,5,6,4,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,5,7,1,4,3]=>[3,7,1,4,2,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,8,5,7,1,3,2]=>[3,5,1,4,2,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,4,1,6,2,8,7]=>[4,6,5,8,3,7,1,2]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,7,3,4,1,8,2]=>[3,4,2,6,5,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,7,6,8,1,4,3]=>[4,7,2,3,1,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,6,1,8,2,4,3]=>[2,4,3,8,1,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,6,1,8,2,5,4]=>[2,6,3,8,1,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,8,1,6,3,5,4]=>[2,7,1,8,3,6,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,7,1,2,8,3,5]=>[3,5,2,8,7,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,1,7,4,2,5,6]=>[6,1,8,2,5,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,4,8,2,5,6,1]=>[6,2,5,1,7,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,6,5,4,1,2,7]=>[1,6,3,4,5,8,7,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,7,8,5,4,3,6,1]=>[7,2,1,4,5,6,3,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,8,2,6,4,7,5,1]=>[6,1,7,3,5,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,5,7,4,8,3,6]=>[8,7,4,2,5,1,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,3,7,5,8,1,2,6]=>[5,6,2,4,1,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,1,5,3,6,8,2]=>[5,2,8,4,6,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,6,8,4,1,5,2]=>[2,6,3,1,5,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,6,7,4,5,2,1]=>[1,6,3,2,5,4,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,4,7,3,5,8,2]=>[3,8,5,2,6,4,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,6,2,7,3,4,1]=>[4,1,3,7,2,6,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,8,3,2,7,4,1]=>[3,4,1,6,7,2,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,5,7,1,2,8,3,4]=>[3,4,2,8,7,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,4,2,3,8,6,5]=>[2,8,5,7,6,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,3,5,4,8,1,7,6]=>[7,6,4,5,1,8,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,7,8,3,5,1]=>[3,7,5,2,1,6,4,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,6,5,3,8,4]=>[8,2,7,3,4,6,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,7,1,8,5,3]=>[5,7,3,2,8,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,1,6,3,8,5,4]=>[7,2,8,3,6,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,5,6,8,1,2,4]=>[6,2,4,3,1,8,7,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,2,5,3,7,6,4]=>[1,8,7,4,6,2,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,5,1,2,4,6,3]=>[2,1,4,8,7,5,3,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,1,6,4,2,5,8,3]=>[2,8,3,5,7,4,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,6,4,5,3,7,2]=>[1,8,3,5,4,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,6,7,5,1,3,4,2]=>[1,3,2,4,8,6,5,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,5,8,1,7,4,3]=>[3,7,4,1,8,2,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,5,2,4,3,1,8]=>[3,2,4,7,5,6,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,8,6,7,5,2,1]=>[5,6,1,3,2,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,6,5,2,4,1,7,8]=>[6,3,4,7,5,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,5,8,4,3,1,7]=>[3,7,4,1,5,6,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,1,6,5,2,4,7]=>[6,1,8,3,4,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,2,8,6,7,1,5]=>[6,5,7,1,3,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,6,2,5,8,4]=>[6,2,8,3,7,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,4,1,6,2,5,7]=>[6,1,5,8,3,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,5,2,4,1,6,7]=>[6,1,4,7,5,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,2,7,6,8,1,5]=>[6,5,7,2,3,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,7,5,2,4,1,6]=>[6,1,2,4,7,5,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,1,6,2,5,7,4]=>[6,1,8,3,7,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,4,1,6,2,5,8]=>[6,2,5,8,3,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,2,5,1,8,7,4]=>[6,3,7,4,8,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,2,5,1,7,4,8]=>[6,3,7,4,8,2,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,7,2,5,1,8,3]=>[5,3,2,7,4,8,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,5,1,7,8,4]=>[6,3,7,4,8,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,2,7,6,1,5,8]=>[6,5,7,2,3,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,2,7,8,1,5,6]=>[6,5,7,2,1,8,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,2,6,1,5,7,8]=>[6,5,7,3,8,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,2,5,1,8,4,7]=>[6,3,7,4,8,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,7,2,5,1,6]=>[1,6,5,2,7,4,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,2,7,1,5,8,6]=>[6,5,7,2,8,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,2,8,7,1,5,6]=>[6,5,7,1,2,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,4,6,5,8,1,2]=>[2,6,5,3,4,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,6,8,1,4,5,2]=>[2,6,3,1,8,5,4,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,4,1,7,5,2,8]=>[3,6,5,8,2,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,6,7,2,1,8,5]=>[6,5,3,2,7,8,1,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,7,1,8,6,4,3,2]=>[4,2,8,1,3,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,1,8,6,7,2,4,3]=>[4,8,1,3,2,7,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,8,5,2,4,7,3]=>[3,8,1,4,7,5,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,4,2,5,8,6,3]=>[2,8,5,7,4,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,5,1,2,4,3,6]=>[2,1,4,8,7,5,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,1,4,8,6,7]=>[7,4,6,8,5,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,2,5,4,8,7]=>[6,3,8,7,4,5,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,4,3,6,7,2]=>[4,1,8,5,6,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,8,6,4,1,5]=>[2,7,6,1,3,5,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,3,8,7,4,1,6]=>[4,7,6,1,2,5,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,5,8,2,1,4,3,7]=>[3,4,1,7,8,5,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,6,3,1,2,4,8]=>[4,2,3,6,8,7,5,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,4,3,7,2,6,8,5]=>[8,5,6,2,7,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,6,3,2,4,1,7]=>[4,1,3,6,7,5,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,6,2,7,8,1,3,5]=>[5,3,7,2,1,8,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,8,2,1,3,5]=>[5,3,2,1,7,8,6,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,3,4,1,7,8,2,6]=>[4,6,5,8,2,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,6,1,2,3,5,7]=>[5,1,3,8,7,6,4,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,3,5,8,4,1,2]=>[3,2,6,4,1,5,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,5,8,2,3,1,6,4]=>[2,4,1,7,6,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,1,4,3,2,5,7]=>[3,1,8,5,6,7,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,3,4,2,5,8,7]=>[3,8,6,5,7,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,3,6,2,4,8,7]=>[4,8,6,3,7,5,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,1,3,5,7,8,4]=>[7,3,8,6,4,2,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,8,4,2,3,1,6,5]=>[2,1,5,7,6,8,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,8,5,2,6,4]=>[6,2,8,1,4,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,1,3,8,4,2,6]=>[4,2,8,6,1,5,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,4,3,7,8,5]=>[7,3,8,5,6,2,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,5,7,6,4,1,2]=>[6,1,4,2,3,5,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,5,7,6,3,4,2]=>[8,1,4,2,3,6,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,1,7,6,3,4,2]=>[4,1,8,2,3,6,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,6,3,8,5,4,2]=>[8,2,3,6,1,4,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,3,7,6,1,8,4,2]=>[4,6,2,3,8,1,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,1,7,6,3,8,4,2]=>[4,8,2,3,6,1,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,5,6,3,7,8,4,2]=>[8,4,3,6,2,1,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,7,6,3,8,4,2]=>[8,4,2,3,6,1,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,3,5,6,1,8,4,2]=>[2,6,4,3,8,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,1,5,8,4,2]=>[2,6,3,8,4,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,3,7,8,5,4,2]=>[8,3,6,2,1,4,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,7,8,6,3,5,4,2]=>[8,2,1,3,6,4,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,1,7,5,8,4,2]=>[6,3,8,2,4,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,5,6,1,8,4,2]=>[6,2,4,3,8,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,5,1,8,3,2,6]=>[2,5,4,8,1,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,3,4,6,8,1,5]=>[7,2,6,5,3,1,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,8,4,7,3,1]=>[4,3,7,1,5,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,8,2,3,7,4,1]=>[4,3,1,7,6,2,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,7,6,8,5,2,4]=>[6,8,2,3,1,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,1,8,6,4,3,5]=>[7,2,8,1,3,5,6,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,4,5,7,1,2,6,3]=>[1,5,4,2,8,7,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,8,1,7,3,4,2]=>[4,3,1,8,2,6,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,3,4,7,5,6,2]=>[1,8,6,5,2,4,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,7,8,6,2,3]=>[8,5,4,2,1,3,7,6]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,5,8,6,7,3,1]=>[7,5,4,1,3,2,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,7,6,3,4,8,1,2]=>[4,2,3,6,5,1,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,5,4,6,1,2,8]=>[6,2,4,5,3,8,7,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,7,6,8,1,2]=>[4,6,5,2,3,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,7,4,6,1,2,8]=>[4,6,2,5,3,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,5,4,6,1,2,8]=>[2,6,4,5,3,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,3,5,4,1,2,6]=>[2,1,6,4,5,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,5,4,1,2,6,8]=>[2,6,4,5,8,7,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,7,6,3,4,1,2,8]=>[4,2,3,6,5,8,7,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,4,1,2,7,6,8]=>[6,4,5,8,7,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,6,1,3,2,4,8]=>[4,2,3,8,6,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,1,2,7,6,8]=>[4,6,5,8,7,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,3,1,2,5,4,6]=>[2,1,6,8,7,4,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,5,1,3,2,4,6]=>[2,1,4,8,6,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,6,1,3,2,4,8]=>[2,4,3,8,6,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,5,1,3,6,2,4]=>[2,1,4,8,6,3,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,3,1,5,4,2,6]=>[2,1,6,8,4,5,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,4,1,7,6,2,8]=>[6,4,5,8,2,3,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,4,7,6,2,8]=>[6,4,8,5,2,3,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,8,5,1,4,6,2]=>[2,6,1,4,8,5,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,3,8,2,5,4,6]=>[2,8,6,1,7,4,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,8,6,1,3,2,4]=>[2,4,1,3,8,6,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,6,8,3,1,4,2]=>[4,2,3,1,6,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,5,4,2,7,6,8]=>[6,8,4,5,7,2,3,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,5,4,7,2,6,8]=>[6,8,4,5,2,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,6,1,3,8,2,4]=>[4,2,3,8,6,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,6,3,8,1,4,2]=>[4,2,3,6,1,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,7,4,2,6,8]=>[6,8,4,2,5,7,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,5,4,8,6,1,2]=>[6,2,4,5,1,3,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,7,6,2,4,8]=>[4,8,6,2,3,7,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,6,8,2,3,5,4]=>[2,8,3,1,7,6,4,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,3,7,2,4,5,8]=>[8,3,6,2,7,5,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,7,3,4,5,2,6,8]=>[8,2,6,5,4,7,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,7,5,4,2,3,8]=>[8,3,2,4,5,7,6,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,7,8,5,1,3,2,6]=>[5,2,1,4,8,6,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,2,5,1,7,4,6,3]=>[1,7,4,8,2,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,4,8,2,3,6,7]=>[4,8,5,1,7,6,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,5,7,4,1,6,3]=>[1,7,4,2,5,8,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,8,5,3,1,6,7]=>[5,7,1,4,6,8,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,5,3,2,7,1,4]=>[3,1,4,6,7,2,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,3,7,2,6,5,1,4]=>[1,6,2,7,3,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,2,7,1,3,8,5]=>[5,3,7,2,8,6,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,3,6,1,8,4]=>[2,7,4,6,3,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,5,6,7,1,3]=>[1,7,5,4,3,2,8,6]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,5,1,8,7,2]=>[6,5,3,4,8,1,2,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,6,5,1,7,2,8]=>[6,5,3,4,8,2,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,1,4,8,6,7,2]=>[6,4,8,5,1,3,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,4,7,2,8,6]=>[6,4,8,5,2,7,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,8,7,3,2,6]=>[5,4,8,1,2,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,4,7,3,2,6,8]=>[4,8,5,2,6,7,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,4,8,7,3,2,6]=>[4,8,5,1,2,6,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,4,8,5,3,2,6]=>[2,8,5,1,4,6,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,2,6,7,1,5,4]=>[6,1,7,3,2,8,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,7,3,1,4,6]=>[4,7,1,2,6,8,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,1,3,4,2,7,8,5]=>[3,8,6,5,7,2,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,3,4,8,2,7,5]=>[3,8,6,5,1,7,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,3,8,4,2,7,6]=>[8,4,6,1,5,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,3,7,8,2,6,4]=>[8,4,6,2,1,7,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,4,2,6,8,5]=>[6,8,2,5,7,3,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,1,4,2,6,7,5]=>[6,1,8,5,7,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,8,2,3,5,1,6]=>[2,5,1,7,6,4,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,4,5,2,7,3,1,6]=>[1,5,4,7,2,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,7,3,2,5,6,4]=>[1,8,2,6,7,4,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,4,5,2,1,3,8,7]=>[3,5,4,7,8,6,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,4,7,6,2,8,1,5]=>[6,5,2,3,7,1,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,8,5,1,4,6,7,2]=>[6,1,4,8,5,3,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,1,7,4,5,6,2]=>[6,1,8,2,5,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,6,8,4,2,7,5]=>[6,8,3,1,5,7,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,7,4,2,6,5]=>[6,8,1,2,5,7,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,7,5,6,2,8,1,4]=>[6,2,4,3,7,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,5,1,3,6,7,2]=>[1,5,4,8,6,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,4,5,7,2,3,1,6]=>[1,5,4,2,7,6,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,6,2,4,5,7,3]=>[1,8,3,7,5,4,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,5,6,8,3,2,7,4]=>[8,4,3,1,6,7,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,1,6,7,2,5,8,4]=>[6,8,3,2,7,4,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,2,3,7,4,1,8]=>[4,3,7,6,2,5,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,4,7,3,5,1,8]=>[3,7,5,2,6,4,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,8,5,3,6,7,2]=>[8,5,1,4,6,3,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,1,2,7,8,6,3]=>[5,4,8,7,2,1,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,8,5,1,2,6,7,3]=>[5,1,4,8,7,3,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,7,5,1,2,8,3]=>[5,3,2,4,8,7,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,2,8,1,4,5,3,6]=>[2,7,1,8,5,4,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,4,7,3,8,2,5]=>[3,8,5,2,6,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,6,3,1,5,7]=>[7,1,5,3,6,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,6,3,5,1,4,7]=>[1,7,3,6,4,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,4,1,5,8,2,6]=>[6,2,5,8,4,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,4,1,7,2,5,6]=>[6,1,5,8,2,7,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,5,1,3,8,2,4]=>[3,2,4,8,6,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,6,2,4,1,3,5]=>[2,1,3,7,5,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,4,1,3,6,7,5]=>[1,7,5,8,6,3,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,3,6,2,5,7,4]=>[1,8,6,3,7,4,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,6,3,8,4,7,2]=>[8,4,3,6,1,5,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,3,7,2,8,4]=>[4,3,8,6,2,7,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,2,8,4,7,3]=>[4,3,8,7,1,5,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,8,6,4,1,2,5]=>[6,2,1,3,5,8,7,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,8,3,6,4,2,1]=>[4,2,1,6,3,5,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,8,1,6,4,2,3]=>[4,2,1,8,3,5,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,1,6,4,2,5]=>[6,2,1,8,3,5,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,8,6,3,4,2,5]=>[8,2,1,3,6,5,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,7,5,8,6,4,2,1]=>[6,2,4,1,3,5,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,7,3,8,6,4,2,5]=>[8,2,6,1,3,5,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,1,8,6,4,2,3]=>[4,2,8,1,3,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,8,1,5,6,4,2,3]=>[2,1,8,4,3,5,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,3,5,6,4,2,1]=>[2,1,6,4,3,5,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,8,5,6,4,2,3]=>[2,8,1,4,3,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,5,8,6,4,2,3]=>[2,8,4,1,3,5,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,5,8,6,4,2,1]=>[2,6,4,1,3,5,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,3,7,8,6,4,2,1]=>[4,6,2,1,3,5,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,1,8,5,6,4,2,7]=>[6,8,1,4,3,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,3,5,6,4,2,7]=>[1,8,6,4,3,5,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,3,5,6,4,2,7]=>[8,1,6,4,3,5,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,8,5,6,4,2,7]=>[8,6,1,4,3,5,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,5,8,6,4,2,7]=>[8,6,4,1,3,5,7,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,5,7,8,6,4,2,3]=>[8,4,2,1,3,5,7,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [6,8,1,2,3,7,4,5]=>[3,1,8,7,6,2,5,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,5,4,2,3,7,6]=>[1,8,4,5,7,6,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,3,5,6,7,2,4]=>[1,8,6,4,3,2,7,5]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,7,3,5,8,4,1,6]=>[7,2,6,4,1,5,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,6,2,5,8,4,1]=>[6,2,3,7,4,1,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,7,3,4,8,1,6]=>[4,7,2,6,5,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,2,3,5,8,1,6]=>[5,2,7,6,4,1,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,8,3,6,4,1,7]=>[7,4,1,6,3,5,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,6,8,2,3,5,1]=>[2,5,3,1,7,6,4,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,8,7,1,2,4,5]=>[6,3,1,2,8,7,5,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,5,8,2,6,3,7,1]=>[5,4,1,7,3,6,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,4,1,3,6,8]=>[7,2,4,5,8,6,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,7,4,5,6,1,2,8]=>[6,2,5,4,3,8,7,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,4,6,5,1,8,3]=>[7,2,5,3,4,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,3,1,2,8,5,4]=>[3,2,6,8,7,1,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,7,5,2,1,4,3]=>[3,1,2,4,7,8,5,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,8,2,6,3,1,4,5]=>[2,1,7,3,6,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,6,3,5,1,4,7]=>[7,1,3,6,4,8,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,6,3,1,4,5,8]=>[2,7,3,6,8,5,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,8,6,4,1,5,2,3]=>[2,1,3,5,8,4,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,5,3,4,1,8]=>[7,2,3,4,6,5,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,2,8,6,4,5,3,7]=>[8,7,1,3,5,4,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,8,7,6,3,4,2]=>[8,4,1,2,3,6,5,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,4,6,8,5,3,2,7]=>[8,5,3,1,4,6,7,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,7,8,5,6,3,2]=>[8,5,2,1,4,3,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,8,6,7,2,3,5,4]=>[8,1,3,2,7,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,8,5,6,3,2,7]=>[8,5,1,4,3,6,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,6,4,2,5,8]=>[8,2,6,3,5,7,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,8,5,2,7,3,4]=>[8,3,1,4,7,2,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,8,5,4,2,3,7]=>[8,3,1,4,5,7,6,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,4,5,8,6,2,3]=>[8,2,5,4,1,3,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,6,5,3,4,7]=>[8,7,1,3,4,6,5,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,3,6,7,2,8,5,4]=>[8,6,3,2,7,1,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,8,5,2,6,7,3,4]=>[8,1,4,7,3,2,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,8,5,2,4,7,6]=>[8,6,1,4,7,5,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,8,2,4,6,1,3]=>[4,2,1,7,5,3,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,6,3,5,7,1,4]=>[1,7,3,6,4,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,3,7,4,6,5,2]=>[8,1,6,2,5,3,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,3,1,7,4,5,6]=>[1,7,6,8,2,5,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,7,8,6,2,5,4]=>[6,8,2,1,3,7,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,1,2,6,5,7,3]=>[5,1,8,7,3,4,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,8,3,7,2,4]=>[4,3,8,1,6,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,1,6,5,3,7,4]=>[7,1,8,3,4,6,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,2,5,7,6,8,3]=>[5,8,7,4,2,3,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,5,1,7,8,6,2]=>[5,6,4,8,2,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,8,5,2,3,4,7,6]=>[8,1,4,7,6,5,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,2,7,8,4,5,6,3]=>[8,7,2,1,5,4,3,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,3,8,7,6,2,5,1]=>[5,6,1,2,3,7,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,4,8,2,7,6,3,1]=>[4,5,1,7,2,3,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,2,5,6,4,8,1,7]=>[6,7,4,3,5,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,4,1,7,5,8]=>[7,6,3,5,8,2,4,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,7,1,5,8,4,6]=>[7,6,2,8,4,1,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,6,1,7,5,8,4]=>[7,6,3,8,2,4,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,6,5,1,7,4,8]=>[7,6,3,4,8,2,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,2,1,7,8,3]=>[5,3,4,7,8,2,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,6,1,7,5,8,3,2]=>[5,3,8,2,4,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,6,5,1,7,8,3]=>[5,7,3,4,8,2,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,5,7,6,8,3,2]=>[5,8,4,2,3,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,6,2,1,4,7,8]=>[6,4,3,7,8,5,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,2,5,7,6,8,3,1]=>[5,7,4,2,3,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,5,2,8,1,7]=>[5,6,3,4,7,1,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,6,5,1,7,8,2]=>[5,6,3,4,8,2,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,4,5,2,1,7,8]=>[6,3,5,4,7,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,6,4,2,8,1,7]=>[6,4,3,5,7,1,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,3,1,7,8,2]=>[5,3,4,6,8,2,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,1,4,2,3,6,7]=>[4,1,8,5,7,6,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,8,2,3,1,6,7]=>[5,4,1,7,6,8,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,4,8,1,7,2,6]=>[6,4,5,1,8,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,2,8,3,1,6,5]=>[5,2,7,1,6,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,5,6,8,3,7,4]=>[8,7,4,3,1,6,2,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [7,4,8,1,5,2,6,3]=>[2,5,1,8,4,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,2,5,6,8,4,7,3]=>[8,7,4,3,1,5,2,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,5,6,8,4,7,2,3]=>[8,4,3,1,5,2,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,8,1,2,4,7,3]=>[4,3,1,8,7,5,2,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,1,4,5,7,2,3]=>[3,1,8,5,4,2,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,1,8,6,7,2]=>[5,6,4,8,1,3,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,3,5,6,8,4,7,2]=>[8,6,4,3,1,5,2,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [5,6,8,2,3,4,7,1]=>[4,3,1,7,6,5,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,7,2,1,3,6,4]=>[4,1,2,7,8,6,3,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,1,7,2,8,6,3,4]=>[4,8,2,7,1,3,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,6,3,2,1,4,7]=>[4,1,3,6,7,8,5,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,6,7,1,2,5,3,4]=>[1,3,2,8,7,4,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,6,4,2,8,7,3]=>[8,4,3,5,7,1,2,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,2,8,1,7,5,6,4]=>[6,7,1,8,2,4,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,7,8,4,2,3,5]=>[3,8,2,1,5,7,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,1,6,3,4,5,2]=>[2,1,8,3,6,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,1,7,3,4,2,5]=>[3,1,8,2,6,5,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,3,8,2,7,1]=>[5,3,4,6,1,7,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,3,8,1,7,2]=>[5,4,3,6,1,8,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,7,6,4,5,8,2]=>[8,6,2,3,5,4,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,5,8,4,7,6,1]=>[6,7,4,1,5,2,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,5,3,8,6,2,7]=>[8,5,4,6,1,3,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,5,8,4,7,6,2]=>[8,6,4,1,5,2,3,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,8,3,5,2,1,6,4]=>[2,1,6,4,7,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,7,5,2,4,1,8]=>[3,6,2,4,7,5,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,8,2,4,5,7,3,6]=>[8,1,7,5,4,2,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,2,4,5,7,3,1,8]=>[3,7,5,4,2,6,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,5,6,4,3,2]=>[2,1,8,4,3,5,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,7,4,5,3,2,8]=>[3,8,2,5,4,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,7,5,1,4,2,8]=>[3,6,2,4,8,5,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,5,7,4,2,1,6]=>[6,1,4,2,5,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,8,2,4,6,7,5]=>[8,6,1,7,5,3,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,7,3,4,2,5,8]=>[3,8,2,6,5,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,4,7,2,1,3,5,8]=>[3,5,2,7,8,6,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,8,5,4,7,2,6,1]=>[6,1,4,5,2,7,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,3,7,1,6,2]=>[5,1,4,6,2,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,6,5,7,4,1]=>[6,1,7,3,4,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,7,2,5,8,6,4]=>[6,8,2,7,4,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,3,7,8,1,6,5,2]=>[5,6,2,1,8,3,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,7,6,3,5,1,4]=>[7,1,2,3,6,4,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,8,4,7,6,5,1,3]=>[7,1,5,2,3,4,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,7,1,5,6,4,3]=>[7,1,2,8,4,3,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,6,2,8,1,7,4]=>[6,4,3,7,1,8,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,6,8,2,7,5]=>[6,8,5,3,1,7,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,7,3,8,2,6]=>[5,8,4,2,6,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,8,5,4,3,6,1]=>[2,7,1,4,5,6,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,6,8,2,5,3,4]=>[2,8,3,1,7,4,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,7,8,4,1,3]=>[7,3,4,2,1,5,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,5,7,4,2,3,8]=>[8,3,4,2,5,7,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,7,5,2,1,8,6]=>[6,5,2,4,7,8,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,7,5,8,4,1,2]=>[6,3,2,4,1,5,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,7,2,5,6,8,1]=>[6,5,2,7,4,3,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,2,8,4,5,6,3,1]=>[2,7,1,5,4,3,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,3,8,5,4,7,1]=>[3,7,6,1,4,5,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,4,7,8,6,3,2]=>[4,8,5,2,1,3,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,7,8,6,4,1,3,2]=>[4,2,1,3,5,8,6,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,1,4,8,6,7,3,2]=>[4,8,5,1,3,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,6,1,4,5,7,2]=>[6,1,3,8,5,4,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,4,1,3,8,5,6]=>[7,2,5,8,6,1,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,4,8,5,7,2,3]=>[3,8,5,1,4,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,5,1,4,6,7,3]=>[7,1,4,8,5,3,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,1,6,5,8,4,7]=>[7,6,8,3,4,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,8,6,4,1,3,2]=>[2,4,1,3,5,8,6,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,7,6,3,8,5,1,4]=>[7,2,3,6,1,4,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,7,8,5,1,4]=>[7,3,6,2,1,4,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,7,8,4,6,5]=>[7,6,8,2,1,5,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,8,4,6,5,7]=>[7,6,8,1,5,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,7,6,8,4,5]=>[7,6,8,2,3,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,8,4,6,7,5]=>[7,6,8,1,5,3,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,3,6,8,5,1,4]=>[7,2,6,3,1,4,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,3,1,8,4,6,7]=>[4,7,6,8,1,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,3,5,1,8,6,7]=>[5,7,6,4,8,1,3,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,7,2,6,4,1,3]=>[4,1,2,7,3,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,7,3,6,2,1,4]=>[4,1,2,6,3,7,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,5,1,7,4,3,2]=>[3,1,4,8,2,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,5,2,7,4,1,3]=>[3,1,4,7,2,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,5,3,7,1,4,2]=>[3,1,4,6,2,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,5,4,1,7,3,2]=>[3,1,4,5,8,2,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,3,8,6,5,2,1,4]=>[2,6,1,3,4,7,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,4,8,6,3,2,1,5]=>[2,5,1,3,6,7,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,5,8,1,6,4,3,2]=>[2,4,1,8,3,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,5,8,2,6,4,1,3]=>[2,4,1,7,3,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,8,7,1,3,5,4]=>[7,3,1,2,8,6,4,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,3,8,7,6,2,1,4]=>[4,6,1,2,3,7,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [3,7,6,1,4,5,2,8]=>[6,2,3,8,5,4,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,3,1,2,8,6,7]=>[5,4,6,8,7,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,3,1,8,6,7]=>[7,5,4,6,8,1,3,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,1,3,7,5,2,6,8]=>[5,8,6,2,4,7,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,6,3,2,7,5,8]=>[5,8,3,6,7,2,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,7,4,1,3,6,8]=>[7,4,2,5,8,6,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,4,1,3,2,6,8]=>[4,2,5,8,6,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,3,7,4,1,6,8]=>[4,7,6,2,5,8,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,1,6,3,2,7,8]=>[5,4,8,3,6,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,3,2,4,7,8]=>[4,8,3,6,7,5,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,2,5,1,6,3,7,8]=>[5,7,4,8,3,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,6,2,4,3,7,8]=>[4,8,3,7,5,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,4,2,1,8,6,7]=>[6,4,5,7,8,1,3,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,3,4,8,7,6,2,1]=>[4,6,5,1,2,3,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,4,6,5,7,2,3,1]=>[1,5,3,4,2,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,2,6,7,4,5,3]=>[8,1,7,3,2,5,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,5,7,2,4,3,6,1]=>[1,4,2,7,5,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,2,8,3,4,7,6,5]=>[8,7,1,6,5,2,3,4]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,5,2,7,1,3,4]=>[3,1,4,7,2,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,4,7,6,3,1,5]=>[1,7,5,2,3,6,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,8,5,4,2,1,6]=>[2,6,1,4,5,7,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,3,4,7,2,8,5,1]=>[3,6,5,2,7,1,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,7,3,6,4,2,5]=>[1,8,2,6,3,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,8,5,3,4,2,6]=>[2,8,1,4,6,5,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,4,3,1,5,2,7]=>[3,1,5,6,8,4,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,6,4,1,8,2,3,7]=>[4,3,5,8,1,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,8,3,2,6,7]=>[8,5,4,1,6,7,3,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,2,4,7,8,6,3]=>[8,4,7,5,2,1,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,7,4,3,8,6,1]=>[4,7,2,5,6,1,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,7,3,4,8,5,6,1]=>[7,2,6,5,1,4,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,5,3,8,6,1]=>[7,2,5,4,6,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,7,3,1,2,8,5]=>[5,3,2,6,8,7,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,2,3,7,4,5,8,1]=>[3,7,6,2,5,4,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,3,2,7,5,8,4]=>[8,3,6,7,2,4,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,2,6,8,1,4]=>[2,6,4,7,3,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,3,6,4,7,8,1]=>[7,4,6,3,5,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,3,6,7,8,1]=>[5,7,4,6,3,2,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,8,7,2,5,4,3,6]=>[8,1,2,7,4,5,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,4,2,7,3,6,8]=>[8,4,5,7,2,6,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,2,8,7,3,6]=>[8,4,5,7,1,2,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,3,6,5,4,7]=>[8,7,1,6,3,4,5,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,7,3,2,8,6,5]=>[8,5,2,6,7,1,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,6,8,4,3,2,5,7]=>[8,3,1,5,6,7,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,3,2,8,4,6,5]=>[8,2,6,7,1,5,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,2,8,4,7,3]=>[8,3,4,7,1,5,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,3,7,2,4,6,5]=>[8,1,6,2,7,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,5,2,7,1,4,3]=>[3,1,4,7,2,8,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,5,1,7,4,3]=>[3,1,7,4,8,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,2,1,5,8,3,4]=>[3,2,7,8,4,1,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,5,2,8,1,3,4]=>[3,2,4,7,1,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,8,1,7,4,2,3]=>[4,3,1,8,2,5,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,5,7,2,1,4,3]=>[3,1,4,2,7,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,2,5,7,6,3]=>[5,8,1,7,4,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,5,8,2,7,4,1,3]=>[3,4,1,7,2,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,5,7,3,1,8,4]=>[3,7,4,2,6,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,6,5,3,2,7,1]=>[1,5,3,4,6,7,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,6,4,8,5,3,7,2]=>[8,3,5,1,4,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,6,5,4,7,3]=>[7,1,8,3,4,5,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,6,2,8,7,1,4]=>[6,4,3,7,1,2,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,7,5,1,3,6,4]=>[1,7,2,4,8,6,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,8,6,1,3,7,4]=>[4,7,1,3,8,6,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,6,5,3,4,7,8,2]=>[8,3,4,6,5,2,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,1,7,6,4,8,3]=>[7,4,8,2,3,5,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,7,8,1,3,5]=>[5,7,3,2,1,8,6,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,8,3,6,2,7,4]=>[4,8,1,6,3,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,2,6,4,8,3]=>[4,8,2,7,3,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,5,2,6,3,8,1]=>[2,5,4,7,3,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,1,8,7,6,4,3]=>[7,4,8,1,2,3,5,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,7,6,1,3,5,8,2]=>[5,2,3,8,6,4,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,7,6,2,5,8,3]=>[5,8,2,3,7,4,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,3,6,7,8,1,5]=>[5,7,6,3,2,1,8,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,7,6,4,1,5,8,3]=>[7,2,3,5,8,4,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,4,3,6,7,8,1,5]=>[7,5,6,3,2,1,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,7,6,8,2,3,5]=>[5,8,2,3,1,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,2,8,5,4,6,3]=>[2,8,7,1,4,5,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,8,2,4,3,5]=>[2,8,3,1,7,5,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,1,7,3,2,6,5]=>[5,1,8,2,6,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,1,8,3,2,6,5]=>[5,2,8,1,6,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,5,2,6,3,1,4]=>[2,1,4,7,3,6,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,6,7,4,2,3]=>[4,8,1,3,2,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,1,6,3,8,2,5]=>[5,2,8,3,6,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,7,4,8,3,5]=>[3,8,7,2,5,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,8,6,5,7,3]=>[5,8,7,1,3,4,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,2,7,8,6,3,4]=>[4,8,7,2,1,3,6,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,4,3,7,8,5]=>[3,8,7,5,6,2,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,5,4,2,3,6,7]=>[1,8,4,5,7,6,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,2,4,6,3,8,5]=>[2,8,7,5,3,6,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,6,5,3,8,4]=>[2,8,7,3,4,6,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,1,2,4,8,3]=>[2,4,3,8,7,5,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,4,5,2,3,6,8]=>[2,8,5,4,7,6,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,4,8,7,2,3,5]=>[3,8,5,1,2,7,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,8,5,7,2,3,4]=>[3,8,1,4,2,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,6,7,5,8,3,4,2]=>[8,3,2,4,1,6,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,7,5,8,2,3,4]=>[3,8,2,4,1,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,4,7,8,2,3,5]=>[3,8,5,2,1,7,6,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,2,3,7,5,4,6]=>[1,8,7,6,2,4,5,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,6,1,2,4,7,3]=>[4,1,3,8,7,5,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,8,7,5,3,4,2]=>[8,3,1,2,4,6,5,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,1,8,7,5,2,3,4]=>[3,8,1,2,4,7,6,5]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,7,1,4,2,3,5,8]=>[3,2,8,5,7,6,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,7,4,8,2,3,5]=>[3,8,2,5,1,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,8,5,1,2,4,3]=>[3,2,1,4,8,7,5,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,3,8,5,6,2,7,1]=>[5,6,1,4,3,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,8,6,7,2,5,1]=>[5,6,1,3,2,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,6,8,1,5,3,4,2]=>[2,3,1,8,4,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,6,1,5,3,8,2]=>[2,5,3,8,4,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,8,3,7,4,5,2]=>[3,8,1,6,2,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,8,1,7,2,5,4]=>[3,6,1,8,2,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,2,7,1,6,5]=>[1,6,5,7,2,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,8,5,7,3,4,2]=>[3,8,1,4,2,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,5,4,7,1,8,3]=>[3,7,4,5,2,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,3,4,8,7,5,1]=>[7,3,6,5,1,2,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,7,4,5,1,8,3,6]=>[7,2,5,4,8,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,5,7,6,1,2,3]=>[1,5,4,2,3,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,5,7,1,3,6,2]=>[1,5,4,2,8,6,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,3,4,6,7,5,2]=>[1,8,6,5,3,2,4,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,3,6,7,5,1,2,4]=>[1,6,3,2,4,8,7,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,6,1,5,3,4]=>[7,2,1,3,8,4,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,8,2,3,5,1,7]=>[5,3,1,7,6,4,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,2,1,3,5,4,7]=>[3,1,7,8,6,4,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,1,6,4,8,2,7]=>[6,4,8,3,5,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,8,6,2,1,4,7]=>[6,4,1,3,7,8,5,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,8,2,5,6,1,3,7]=>[5,1,7,4,3,8,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,8,4,2,7,6,1]=>[4,6,1,5,7,2,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,3,4,6,5,2,1]=>[2,1,6,5,3,4,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,2,8,6,5,7,4]=>[6,8,7,1,3,4,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,7,4,6,3,1,5]=>[7,1,2,5,3,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,3,4,1,2,5,7,6]=>[1,6,5,8,7,4,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,3,8,6,2,1,4,5]=>[2,6,1,3,7,8,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,6,4,7,2,3,1]=>[4,1,3,5,2,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,2,7,5,6,3,4]=>[1,8,7,2,4,3,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,7,3,4,6,1,5]=>[1,7,2,6,5,3,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,5,4,8,1,3,2]=>[3,2,4,5,1,8,6,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,5,6,4,7,2,1]=>[1,6,4,3,5,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,5,6,2,4,3,7,1]=>[1,4,3,7,5,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,1,3,4,2,7]=>[3,4,1,8,6,5,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,8,7,5,3,2,1]=>[3,5,1,2,4,6,7,8]=>[2,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [6,7,1,4,3,2,8,5]=>[3,2,8,5,6,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,5,1,4,8,3,6]=>[2,7,4,8,5,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,1,3,4,2,7,6]=>[4,1,8,6,5,7,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,6,3,2,8,7,4]=>[8,4,3,6,7,1,2,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,7,6,8,4,2,5]=>[8,6,2,3,1,5,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,7,3,2,8,5,4]=>[8,3,2,6,7,1,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,2,7,6,8,4,5,1]=>[6,7,2,3,1,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,3,8,5,2,7,6,4]=>[8,6,1,4,7,2,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,5,1,4,7,3,6,8]=>[7,4,8,5,2,6,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,5,7,4,8,3]=>[7,3,8,4,2,5,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,7,1,6,3,8,4]=>[7,4,2,8,3,6,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,1,5,7,4,3,8]=>[7,3,8,4,2,5,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,6,5,2,4,7,8]=>[6,8,3,4,7,5,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,6,5,1,7,2,4,8]=>[6,3,4,8,2,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,5,2,1,4,7,8]=>[6,3,4,7,8,5,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,5,2,7,6,1,3,8]=>[5,4,7,2,3,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,3,6,5,7,1,2,8]=>[5,6,3,4,2,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,6,5,1,3,7,8]=>[5,7,3,4,8,6,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,1,6,5,3,7,8,2]=>[5,8,3,4,6,2,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,5,7,6,1,3,8]=>[5,7,4,2,3,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,7,6,1,2,5,8]=>[6,5,2,3,8,7,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,6,5,7,2,1,4,8]=>[6,3,4,2,7,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,7,6,2,4,1,8]=>[6,4,2,3,7,5,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,2,1,7,3,8]=>[5,3,4,7,8,2,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,8,2,1,4,6,7]=>[6,4,1,7,8,5,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,5,8,2,4,6,7,1]=>[6,4,1,7,5,3,2,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,3,8,2,1,4,6,7]=>[4,6,1,7,8,5,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,1,3,8,2,4,6,7]=>[4,8,6,1,7,5,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,5,8,4,2,3,6,7]=>[8,4,1,5,7,6,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,8,2,1,4,3,6,7]=>[4,1,7,8,5,6,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,2,4,1,6,7,3]=>[4,1,7,5,8,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,2,4,6,3,1,7]=>[4,1,7,5,3,6,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,1,4,6,2,3,7]=>[4,1,8,5,3,7,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,2,4,6,3,7,1]=>[4,1,7,5,3,6,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,6,7,2,1,5]=>[6,1,5,3,2,7,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,4,6,7,2,5,1]=>[6,1,5,3,2,7,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,8,1,6,2,4,5,7]=>[6,1,8,3,7,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,6,2,1,4,5,7]=>[6,1,3,7,8,5,4,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [3,8,6,2,4,1,5,7]=>[6,1,3,7,5,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,3,6,2,4,5,1,7]=>[1,6,3,7,5,4,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,3,6,2,4,5,7]=>[1,8,6,3,7,5,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,6,7,2,1,4,5]=>[6,1,3,2,7,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,6,4,5,1,7,3]=>[1,7,3,5,4,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,4,6,7,5,2,3]=>[8,1,5,3,2,4,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,4,6,2,3,7,5,1]=>[1,5,3,7,6,2,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,7,2,1,3,6,5]=>[1,5,2,7,8,6,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,1,6,3,5,8,4]=>[7,2,8,3,6,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,4,2,6,3,7,5]=>[8,1,5,7,3,6,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,5,8,4,7,3]=>[8,3,7,4,1,5,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,8,4,6,7,2,5]=>[6,8,1,5,3,2,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,8,6,1,4,7,5]=>[6,7,1,3,8,5,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,7,2,1,5,6,4]=>[6,1,2,7,8,4,3,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,6,8,5,1,7,4,3]=>[7,3,1,4,8,2,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,2,6,8,1,4,7,5]=>[6,7,3,1,8,5,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,5,8,7,3,6,4]=>[7,8,4,1,2,6,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,5,2,6,8,7,4]=>[6,8,4,7,3,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,2,3,1,4,8,5,6]=>[2,7,6,8,5,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,8,2,4,3,7,1]=>[4,3,1,7,5,6,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,6,4,1,7,2]=>[6,4,1,3,5,8,2,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,1,7,6,4,2,3,8]=>[4,8,2,3,5,7,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,1,8,6,4,2,3,7]=>[4,8,1,3,5,7,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,2,8,6,4,7,3,5]=>[8,7,1,3,5,2,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,2,3,6,7,1,5,8]=>[5,7,6,3,2,8,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,7,8,3,5,6,1]=>[5,7,2,1,6,4,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,8,7,2,5,6,3]=>[8,5,1,2,7,4,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,8,3,7,1,4,6,5]=>[7,1,6,2,8,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,7,1,5,3,6,4]=>[7,1,2,8,4,6,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,6,1,2,8,3]=>[4,5,2,3,8,7,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,2,8,3,5,6,4]=>[8,2,7,1,6,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,7,3,5,4,6,1]=>[7,1,2,6,4,5,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,7,8,5,2,3]=>[8,5,3,2,1,4,7,6]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,8,4,2,7,6,5,1]=>[6,1,5,7,2,3,4,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,1,6,4,3,7,2,8]=>[4,8,3,5,6,2,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,3,7,1,5,6,2]=>[5,1,6,2,8,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,7,1,5,6,8]=>[7,5,6,2,8,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,8,1,5,3,4,7]=>[7,3,1,8,4,6,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,6,8,1,4,7]=>[6,7,4,3,1,8,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,8,1,6,4,5,2,7]=>[6,1,8,3,5,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,6,5,4,2,7]=>[1,8,6,3,4,5,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,2,4,8,6,3,7,5]=>[8,7,5,1,3,6,2,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,7,2,3,1,4,8,6]=>[4,2,7,6,8,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,2,4,6,8,3]=>[2,8,4,7,5,3,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,8,6,4,7,5,3,2]=>[8,1,3,5,2,4,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,8,7,6,4,2,5]=>[8,6,1,2,3,5,7,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,8,5,1,7,4,6,3]=>[7,1,4,8,2,5,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,6,4,7,5,2,3]=>[8,1,3,5,2,4,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,6,3,8,5,1]=>[7,2,5,3,6,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,8,4,3,2,5,6]=>[2,8,1,5,6,7,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,5,1,7,4,2,6,8]=>[6,4,8,2,5,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,5,4,2,8,3,7]=>[8,3,4,5,7,1,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,2,8,6,3,1,4]=>[4,2,7,1,3,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,2,8,6,4,3,5]=>[8,2,7,1,3,5,6,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,4,1,7,8,2,6]=>[6,4,5,8,2,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,8,7,2,4,6]=>[6,8,4,1,2,7,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,2,5,7,8,4,6,1]=>[6,7,4,2,1,5,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,7,4,2,6,8,1]=>[4,6,2,5,7,3,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,3,7,4,2,6,1,8]=>[4,6,2,5,7,3,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,8,4,3,2,6,7]=>[4,8,1,5,6,7,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,2,7,4,3,6,1,8]=>[4,7,2,5,6,3,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,7,4,3,6,8,1]=>[4,7,2,5,6,3,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,5,7,8,4,2,6]=>[6,8,4,2,1,5,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,7,4,1,3,8,6]=>[4,7,2,5,8,6,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,3,7,4,8,5,1]=>[3,7,6,2,5,1,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,3,7,4,8,1,5]=>[3,7,6,2,5,1,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,7,4,5,1,8]=>[3,7,6,2,5,4,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,8,6,4,3,5,7]=>[8,7,1,3,5,6,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [6,1,3,7,4,5,2,8]=>[3,8,6,2,5,4,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,8,1,2,4,3,7]=>[3,4,1,8,7,5,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,8,7,2,1,4,6]=>[6,4,1,2,7,8,5,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,6,1,8,5,3,4,7]=>[7,3,8,1,4,6,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,7,8,1,6,3,2]=>[5,4,2,1,8,3,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,7,8,4,6,3,1]=>[7,4,2,1,5,3,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,4,1,8,6,7,3]=>[7,4,5,8,1,3,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,5,8,2,6,1,3]=>[2,5,4,1,7,3,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,5,8,6,7,3]=>[7,5,8,4,1,3,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,8,3,4,2,7,1]=>[4,3,1,6,5,7,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,3,8,6,7,2]=>[5,8,4,6,1,3,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,5,1,8,6,7,4]=>[7,6,4,8,1,3,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,8,2,6,1,5]=>[2,6,5,1,7,3,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,1,8,6,7,4]=>[6,4,7,8,1,3,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,3,2,4,5,6,8]=>[2,8,6,7,5,4,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,1,7,8,2,4,3,6]=>[4,8,2,1,7,5,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,8,6,3,2,5,1]=>[5,2,1,3,6,7,4,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,4,5,3,7,1,6,2]=>[1,5,4,6,2,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,3,7,1,2,6]=>[1,5,4,6,2,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,7,1,5,3,6,2]=>[5,1,2,8,4,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,1,7,3,5,6,2]=>[5,1,8,2,6,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,8,4,7,3,6]=>[4,8,7,1,5,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,6,3,1,4,8,5]=>[7,2,3,6,8,5,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,7,4,5,6,8,2,1]=>[6,2,5,4,3,1,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,8,3,7,1,5,2]=>[5,3,1,6,2,8,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,5,8,1,6,2]=>[5,2,6,4,1,8,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,5,7,8,3,4]=>[8,7,3,4,2,1,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,6,4,8,3,5,7]=>[8,7,3,5,1,6,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,7,2,5,1,8,4]=>[6,3,2,7,4,8,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,7,1,4,8,3]=>[7,3,4,2,8,5,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,1,7,8,4,6,2]=>[6,4,8,2,1,5,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,2,4,7,6,5,3]=>[1,8,7,5,2,3,4,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,1,8,6,7,5,2]=>[6,5,8,1,3,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,4,2,5,8,3,1]=>[3,2,5,7,4,1,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,4,6,5,1,3,2,7]=>[1,5,3,4,8,6,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,8,4,7,5,2,6]=>[8,6,1,5,2,4,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,7,1,4,6,8,2]=>[4,6,2,8,5,3,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,7,2,6,1,4,8,3]=>[4,2,7,3,8,5,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,5,7,6,1,2,4]=>[6,1,4,2,3,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,7,5,2,1,3,6]=>[1,5,2,4,7,8,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,8,6,4,7,2,1,5]=>[6,1,3,5,2,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,7,4,6,8,3,1]=>[4,7,2,5,3,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,3,1,7,6,4,5]=>[7,1,6,8,2,3,5,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,5,1,6,2,3]=>[5,2,1,4,8,3,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,2,1,6,7,8,3]=>[5,4,7,8,3,2,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,6,7,4,1,8,2]=>[6,4,3,2,5,8,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,1,4,2,6,8,7]=>[6,4,8,5,7,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,8,4,6,2,5,7]=>[8,6,1,5,3,7,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,7,5,6,2,3,8]=>[8,5,2,4,3,7,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,3,6,4,5,2,8]=>[8,2,6,3,5,4,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,2,3,7,5,6]=>[8,1,5,7,6,2,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,3,8,6,7,4]=>[8,4,7,6,1,3,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,7,6,4,3,8]=>[8,4,7,2,3,5,6,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,4,8,3,2,7,6,5]=>[8,5,1,6,7,2,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,3,8,4,2,6,7]=>[8,4,6,1,5,7,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,2,4,7,5,3,6]=>[8,1,7,5,2,4,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,5,2,4,3,6,8]=>[8,2,4,7,5,6,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,6,5,2,4,3,7]=>[8,1,3,4,7,5,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,6,5,4,2,7,3,8]=>[8,3,4,5,7,2,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,3,2,6,4,5,8]=>[8,2,6,7,3,5,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,2,8,6,7,5,4,3]=>[8,7,1,3,2,4,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,8,6,5,4,2,7]=>[8,6,1,3,4,5,7,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,7,5,4,3,2,6,8]=>[8,2,4,5,6,7,3,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,8,5,7,4,6,2,1]=>[6,1,4,2,5,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,7,4,5,2,6,1]=>[6,1,2,5,4,7,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,7,8,3,6,1,5]=>[5,7,2,1,6,3,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,3,7,5,8,2,1]=>[5,3,6,2,4,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,5,7,8,6,3,1]=>[5,7,4,2,1,3,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,2,5,7,3,6,1,4]=>[1,7,4,2,6,3,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,8,7,6,3,1]=>[5,7,4,1,2,3,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,7,2,4,5,1,8,3]=>[3,2,7,5,4,8,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,8,3,6,1,4]=>[4,7,2,1,6,3,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,8,3,1,6,4,5]=>[2,7,1,6,8,3,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,3,4,1,8,5,6]=>[2,7,6,5,8,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,7,8,1,3,6,5]=>[7,5,2,1,8,6,3,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,2,8,3,1,4,7,6]=>[4,7,1,6,8,5,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,5,4,1,2,7,6]=>[1,6,4,5,8,7,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,4,3,1,7,6,5]=>[1,7,5,6,8,2,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,8,4,1,3,7,5]=>[3,7,1,5,8,6,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,5,2,8,7,1,4]=>[3,6,4,7,1,2,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,6,2,8,5,4,7]=>[6,8,3,7,1,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,3,5,2,4,7,6]=>[1,8,6,4,7,5,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,5,1,2,4,7,6]=>[1,6,4,8,7,5,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,3,1,2,7,4,6]=>[4,1,6,8,7,2,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,6,2,7,1,5,4]=>[6,1,3,7,2,8,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,8,5,1,4,7,6]=>[6,7,1,4,8,5,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,4,8,2,1,7,6,5]=>[6,5,1,7,8,2,3,4]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,3,4,1,7,2,6,5]=>[1,6,5,8,2,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,2,1,7,6,5]=>[1,6,5,7,8,2,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,4,2,1,7,6,5]=>[6,1,5,7,8,2,3,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [8,5,7,6,4,3,1,2]=>[1,4,2,3,5,6,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,4,7,6,5,2,1,3]=>[1,5,2,3,4,7,8,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [8,3,5,7,6,2,4,1]=>[1,6,4,2,3,7,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,6,8,2,5,7,3]=>[8,5,3,1,7,4,2,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,2,6,8,1,5,7,3]=>[5,7,3,1,8,4,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,2,4,8,1,7,5]=>[6,3,7,5,1,8,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,8,2,4,6,1,5]=>[2,6,1,7,5,3,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,5,8,3,6,1,7]=>[5,7,4,1,6,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,6,8,3,7,4]=>[8,4,7,3,1,6,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,1,4,6,2,7]=>[6,4,1,8,5,3,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,7,8,3,6,2,4]=>[4,8,2,1,6,3,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,7,3,8,4,2,5]=>[8,3,2,6,1,5,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,3,1,4,5,2,6]=>[2,1,6,8,5,4,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,8,4,1,3,5,6]=>[2,7,1,5,8,6,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,1,7,3,2,8,4,5]=>[3,8,2,6,7,1,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,2,1,3,4,6,7]=>[4,1,7,8,6,5,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,2,5,1,8,3,6,7]=>[5,7,4,8,1,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,8,2,1,5,6,3]=>[5,2,1,7,8,4,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,7,2,8,5,1,4,3]=>[3,2,7,1,4,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,8,5,2,1,4,3]=>[3,2,1,4,7,8,5,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,8,2,1,5,3,6]=>[5,2,1,7,8,4,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,1,7,8,2,5,3,6]=>[5,8,2,1,7,4,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,2,7,8,4,3,5]=>[8,3,7,2,1,5,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,1,8,4,3,2,5]=>[3,2,8,1,5,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,4,1,8,6,2,5]=>[2,6,5,8,1,3,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,6,3,5,8,2,1]=>[5,2,3,6,4,1,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,7,8,6,2,5,3]=>[8,5,2,1,3,7,4,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,7,8,3,2,5,4]=>[8,3,2,1,6,7,4,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,7,4,8,5,1,3,6]=>[7,2,5,1,4,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,5,3,4,8,7,6]=>[7,8,4,6,5,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,2,3,5,7,4,1]=>[3,1,7,6,4,2,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,5,4,1,2,6,8,7]=>[6,4,5,8,7,3,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,4,2,7,1,3,8]=>[4,3,5,7,2,8,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,7,1,6,2,3,8]=>[5,4,2,8,3,7,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,4,1,5,6,3,7]=>[1,7,5,8,4,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,7,1,8,6,2,3]=>[5,4,2,8,1,3,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,7,3,8,1,6,4]=>[7,4,2,6,1,8,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,8,6,5,2,7,1]=>[5,6,1,3,4,7,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,3,8,6,5,1,7,4]=>[7,6,1,3,4,8,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,1,8,6,5,7,2,3]=>[5,8,1,3,4,2,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,4,7,5,6,2,3]=>[1,8,5,2,4,3,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,3,6,8,4,7,5]=>[7,8,6,3,1,5,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,6,5,8,1,4]=>[2,7,6,3,4,1,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,3,1,8,6,4]=>[4,7,2,6,8,1,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,4,7,3,1,2,6,8]=>[4,5,2,6,8,7,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,4,1,6,5,2,7,8]=>[6,5,8,3,4,7,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,2,6,7,4,1,8]=>[6,4,7,3,2,5,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,7,2,6,1,3,8]=>[5,4,2,7,3,8,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,1,8,5,4,3,6]=>[7,2,8,1,4,5,6,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,2,8,5,4,3,6]=>[2,8,7,1,4,5,6,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,2,7,6,4,3,5]=>[1,8,7,2,3,5,6,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,2,6,5,7,8,4]=>[6,8,7,3,4,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,6,2,4,8,1]=>[2,6,4,3,7,5,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,4,6,5,2,1,7]=>[1,6,5,3,4,7,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,2,5,7,4,3,6]=>[1,8,7,4,2,5,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,6,8,4,1,7]=>[6,7,4,3,1,5,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,6,1,5,4,3,7]=>[1,7,3,8,4,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,6,8,5,4,3,1]=>[2,7,3,1,4,5,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,6,8,2,5,4,3,1]=>[2,3,1,7,4,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,5,8,6,2,4,1,7]=>[6,4,1,3,7,5,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,1,5,7,2,4,3,6]=>[1,8,4,2,7,5,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,5,6,2,4,1,8]=>[6,2,4,3,7,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,5,1,3,6,8,7]=>[5,7,4,8,6,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,1,5,6,8,3,4]=>[7,2,8,4,3,1,6,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,5,8,6,3,4,1]=>[2,7,4,1,3,6,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,2,6,7,3,4,1]=>[4,1,7,3,2,6,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,7,4,5,8,1]=>[6,7,3,2,5,4,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,6,7,8,4,5,1]=>[7,6,3,2,1,5,4,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [7,2,4,3,8,6,5,1]=>[2,7,5,6,1,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,3,4,2,8,6,1,5]=>[2,6,5,7,1,3,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,4,2,7,1,8,6]=>[4,6,5,7,2,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,5,3,7,8,1,6]=>[7,5,4,6,2,1,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,4,8,1,2,7,5]=>[6,3,5,1,8,7,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,1,4,8,2,6,5]=>[6,2,8,5,1,7,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,8,2,1,3,4,7]=>[4,3,1,7,8,6,5,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,4,3,5,6,8,1,7]=>[7,5,6,4,3,1,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,4,6,2,8,1,3,5]=>[2,5,3,7,1,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,1,3,8,2,5]=>[2,5,3,8,6,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,4,7,1,2,5,3,6]=>[1,5,2,8,7,4,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,6,1,2,8,5,3]=>[2,5,3,8,7,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,4,6,1,8,5,2,3]=>[2,5,3,8,1,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,6,7,2,1,4,3]=>[1,4,3,2,7,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,6,7,2,4,1,3]=>[1,4,3,2,7,5,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,6,7,1,2,4,3]=>[1,4,3,2,8,7,5,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,3,7,6,2,8,4]=>[4,8,6,2,3,7,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,3,6,5,4,8,2]=>[2,8,6,3,4,5,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,5,1,7,2,6,8]=>[5,6,4,8,2,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,4,8,1,5,3,2,7]=>[3,5,1,8,4,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,3,1,5,2,6,7]=>[5,1,6,8,4,7,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,6,2,5,1,4,8]=>[6,2,3,7,4,8,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,4,2,3,1,7,5]=>[3,1,5,7,6,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,6,2,8,3,5,4]=>[8,2,3,7,1,6,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,6,3,1,4,8,5]=>[2,7,3,6,8,5,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,5,6,3,2,8,4]=>[2,8,4,3,6,7,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,1,7,6,5,3,8]=>[7,5,8,2,3,4,6,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,3,8,5,2,7,6]=>[5,8,6,1,4,7,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,8,6,5,1,7]=>[7,5,6,1,3,4,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,4,5,8,6,2,7]=>[6,8,5,4,1,3,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,3,2,5,4,6,7]=>[8,1,6,7,4,5,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,7,3,2,8,4,6]=>[4,8,2,6,7,1,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,8,1,3,2,4,6]=>[4,2,1,8,6,7,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,4,1,6,7,3,5]=>[1,7,5,8,3,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,6,7,3,5,8,2]=>[5,8,3,2,6,4,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,6,1,3,5,4,2]=>[2,1,3,8,6,4,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,5,8,4,3,2,6]=>[8,2,4,1,5,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,7,5,3,4,1,6]=>[1,7,2,4,6,5,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,7,2,6,3,1,5]=>[1,5,2,7,3,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,2,5,7,8,3,6,4]=>[8,7,4,2,1,6,3,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [8,4,6,2,3,7,1,5]=>[1,5,3,7,6,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,3,5,8,7,1,4,6]=>[7,6,4,1,2,8,5,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,5,8,1,7,2,6]=>[6,5,4,1,8,2,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,8,4,5,3,7,2,6]=>[8,1,5,4,6,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,2,7,8,1,5]=>[3,6,5,7,2,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,4,2,7,1,5,8]=>[3,6,5,7,2,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,3,7,8,2,1,4]=>[4,3,6,2,1,7,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,4,7,2,1,5]=>[3,1,6,5,2,7,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,3,8,6,7,5,1,2]=>[5,6,1,3,2,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,6,2,7,8,3,1]=>[5,4,3,7,2,1,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,6,2,7,1,8,3]=>[5,4,3,7,2,8,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,2,1,7,8,3]=>[5,4,3,7,8,2,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,5,6,2,1,7,3,8]=>[5,4,3,7,8,2,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,8,6,2,1,7,3,4]=>[4,1,3,7,8,2,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,6,3,1,7,2,4,8]=>[4,3,6,8,2,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,4,6,7,2,1,3,5]=>[1,5,3,2,7,8,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,7,2,3,1,4,5]=>[3,1,2,7,6,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,6,7,4,1,3,8]=>[7,4,3,2,5,8,6,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,3,6,7,1,4,8,2]=>[4,6,3,2,8,5,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,1,6,7,3,2,8]=>[5,4,8,3,2,6,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,1,8,7,4,2,3]=>[4,3,8,1,2,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,3,1,2,5,4,8]=>[3,2,6,8,7,4,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,8,1,5,6,2]=>[6,2,5,1,8,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,1,8,3,7,4,6]=>[7,4,8,1,6,2,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,8,6,5,7,1,4]=>[7,6,1,3,4,2,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,3,8,4,1,5,7,2]=>[3,6,1,5,8,4,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,4,1,7,5,8,2]=>[3,6,5,8,2,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,2,5,8,3,1,4]=>[3,2,7,4,1,6,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,2,1,3,8,4,6]=>[4,2,7,8,6,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,5,4,1,6,8,2]=>[6,2,4,5,8,3,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,5,4,1,6,7,2]=>[6,1,4,5,8,3,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,1,7,6,3,2,5,8]=>[5,8,2,3,6,7,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,6,1,3,2,5,8,7]=>[5,3,8,6,7,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,6,4,7,3,5,2]=>[8,1,3,5,2,6,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,5,4,2,6,3,8]=>[2,8,4,5,7,3,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,1,8,3,2,4,7]=>[4,3,8,1,6,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,3,6,7,1,8,4]=>[7,4,6,3,2,8,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,4,6,8,1,7,5]=>[7,6,5,3,1,8,2,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,3,5,8,1,6,7,4]=>[7,6,4,1,8,3,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,7,5,6,8,1,3]=>[7,5,2,4,3,1,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,4,6,2,8,1,5]=>[2,6,5,3,7,1,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,6,5,2,8,3,1]=>[5,2,3,4,7,1,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,4,7,3,2,1,8,6]=>[4,5,2,6,7,8,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,7,3,6,4,1,8,5]=>[7,2,6,3,5,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,7,5,3,1,8,4]=>[7,3,2,4,6,8,1,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,8,4,1,7,3,6,2]=>[4,1,5,8,2,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,6,8,7,3,2]=>[4,8,5,3,1,2,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,6,5,1,4,8,2,7]=>[6,3,4,8,5,1,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,5,4,8,1,2,7]=>[3,6,4,5,1,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,5,4,6,2,3,8,7]=>[8,4,5,3,7,6,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,5,7,6,3,4,2,1]=>[1,4,2,3,6,5,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,8,5,1,7,6,4]=>[6,7,1,4,8,2,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,1,5,6,4,2,8,7]=>[6,8,4,3,5,7,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,6,4,3,1,7,2]=>[1,4,3,5,6,8,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,5,6,7,1,2,4]=>[1,6,4,3,2,8,7,5]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,4,7,3,6,8,5]=>[7,8,5,2,6,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,7,6,4,8,2,1]=>[4,6,2,3,5,1,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,7,6,4,2,8,1,5]=>[6,2,3,5,7,1,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,4,7,5,1,6,3,2]=>[1,5,2,4,8,3,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,5,3,7,8,6,4]=>[7,8,4,6,2,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,4,7,6,8,2,3]=>[4,8,5,2,3,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,1,6,7,5,2]=>[1,6,5,8,3,2,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,4,2,6,5,7,3]=>[1,8,5,7,3,4,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,6,8,1,4,5,2]=>[6,2,3,1,8,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,5,8,4,1,6,2]=>[6,2,4,1,5,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,5,4,8,7,1,2]=>[6,3,4,5,1,2,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,5,4,1,7,8,2]=>[6,3,4,5,8,2,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,6,5,4,7,8,1,2]=>[6,3,4,5,2,1,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,1,4,3,2,6,5]=>[2,1,8,5,6,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,1,4,3,2,6,7]=>[4,1,8,5,6,7,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,4,3,8,2,7,1]=>[4,3,5,6,1,7,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,6,7,3,2,4]=>[4,1,8,3,2,6,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,4,3,2,8,6,7]=>[8,4,5,6,7,1,3,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,1,3,2,5,8]=>[3,2,5,8,6,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,1,4,3,2,5,6]=>[2,1,8,5,6,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,3,7,4,1,8,6]=>[4,7,6,2,5,8,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,7,4,3,6,8,5]=>[7,8,2,5,6,3,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,2,4,5,6,8,3]=>[2,8,7,5,4,3,1,6]=>[2,1,1,1,1,2]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,8,7,1,4,5,6,3]=>[7,1,2,8,5,4,3,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,2,5,4,6,8,3]=>[8,2,7,4,5,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,3,8,1,6,7,4]=>[7,4,6,1,8,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,2,5,7,8,3]=>[8,3,5,7,4,2,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,3,4,1,7,8,2]=>[4,3,6,5,8,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,3,1,4,7,8,6]=>[7,4,6,8,5,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,2,3,1,5,7,4]=>[3,1,7,6,8,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,3,1,4,7,8,6]=>[4,7,6,8,5,2,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,3,6,4,5,8,1,2]=>[2,6,3,5,4,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,4,7,8,6,3,1]=>[4,7,5,2,1,3,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,4,8,7,2,3,1,6]=>[4,5,1,2,7,6,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,4,5,3,6,2,7]=>[1,8,5,4,6,3,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,5,1,4,6,2,7]=>[1,6,4,8,5,3,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,2,1,7,4,3,6]=>[4,1,7,8,2,5,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,7,2,1,8,4,3]=>[3,4,2,7,8,1,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,5,4,7,3,8,6,2]=>[8,4,5,2,6,1,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,8,4,1,7,2,5]=>[6,3,1,5,8,2,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,1,8,4,7,6,3,5]=>[7,8,1,5,2,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,5,6,8,4,3,1]=>[7,2,4,3,1,5,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,2,4,7,8,6,1]=>[6,4,7,5,2,1,3,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,5,6,3,8,2,1,4]=>[2,4,3,6,1,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,2,7,4,5,8,3]=>[8,3,7,2,5,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,5,1,6,8,2]=>[2,6,5,4,8,3,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,7,5,4,8,1]=>[3,7,6,2,4,5,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,8,7,1,6,4,2]=>[6,4,1,2,8,3,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,4,7,1,2,6,5,3]=>[1,5,2,8,7,3,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,4,6,1,2,5,3]=>[2,1,5,3,8,7,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,7,5,8,3,2]=>[5,8,3,2,4,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,2,8,1,6,4,3]=>[4,2,7,1,8,3,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,7,1,6,5,2,3]=>[1,5,2,8,3,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,7,6,1,2,5,3]=>[1,5,2,3,8,7,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,7,4,6,1,5,2]=>[6,1,2,5,3,8,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,1,6,2,4,3]=>[4,2,1,8,3,7,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,7,5,2,1,3]=>[3,1,5,2,4,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,2,7,1,5,4,3]=>[3,1,7,2,8,4,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,7,4,2,5,1,3]=>[3,1,2,5,7,4,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,8,4,5,2,1,3,7]=>[3,1,5,4,7,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,4,5,7,2,1,3]=>[3,1,5,4,2,7,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,4,2,5,7,1,3]=>[3,1,5,7,4,2,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,4,2,5,1,3,7]=>[3,1,5,7,4,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,4,6,2,3,7,5]=>[1,8,5,3,7,6,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,6,2,3,7,1,5]=>[5,1,3,7,6,2,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,7,6,4,8,1]=>[7,4,6,2,3,5,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,5,7,6,4,2,8]=>[6,8,4,2,3,5,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,6,5,4,7,2,8]=>[6,8,3,4,5,2,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,6,8,3,4,7,1]=>[7,4,3,1,6,5,2,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,1,3,6,5,2,7,8]=>[5,8,6,3,4,7,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,2,4,5,7,1,8]=>[6,3,7,5,4,2,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,5,4,7,1,8]=>[6,3,7,4,5,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,7,6,4,2,8]=>[6,4,8,2,3,5,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,1,4,5,7,2,8]=>[6,3,8,5,4,2,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,6,5,3,7,8]=>[5,8,7,3,4,6,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,1,3,5,2,7,8]=>[5,3,8,6,4,7,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,6,3,5,1,7,8]=>[5,7,3,6,4,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,7,6,5,1,2,8]=>[6,5,2,3,4,8,7,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,6,1,2,5,3,7,8]=>[5,3,8,7,4,6,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,7,3,6,8,1]=>[7,4,5,2,6,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,4,8,6,1,7,3]=>[7,4,5,1,3,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,7,5,8,6,1]=>[7,5,6,2,4,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,5,1,4,8,7,3]=>[7,3,4,8,5,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,5,1,7,3,8,4]=>[7,3,4,8,2,6,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,7,1,3,6,2]=>[4,1,5,2,8,6,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,7,1,3,5,2,8]=>[3,5,2,8,6,4,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,1,3,5,7,4,2]=>[3,1,8,6,4,2,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,8,3,2,7,4,6,1]=>[4,1,6,7,2,5,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,2,5,3,7,4]=>[3,1,8,7,4,6,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,3,4,6,7,1]=>[4,7,1,6,5,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,2,7,1,6,4,8,3]=>[4,7,2,8,3,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,2,6,1,3,7,8]=>[5,4,7,3,8,6,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,5,8,6,1,7,2]=>[5,6,4,1,3,8,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,8,5,6,2,4]=>[6,8,2,1,4,3,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,8,5,2,4,6]=>[6,2,8,1,4,7,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,8,6,7,1,3,5]=>[5,7,1,3,2,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,2,4,7,3,5,8]=>[3,8,7,5,2,6,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,4,5,8,7,3,6]=>[8,7,5,4,1,2,6,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,4,7,5,8,6,2]=>[8,6,5,2,4,1,3,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,5,2,3,7,8,6,4]=>[8,4,7,6,2,1,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,4,8,3,2,7]=>[4,3,8,5,1,6,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,1,7,2,8,5]=>[6,3,5,8,2,7,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,3,7,8,6,5]=>[7,5,8,6,2,1,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,6,1,5,7,8,4,3]=>[7,3,8,4,2,1,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,7,6,8,2,3,5,1]=>[5,2,3,1,7,6,4,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,4,8,1,2,6,3]=>[4,2,5,1,8,7,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,7,5,8,1,4,2]=>[6,3,2,4,1,8,5,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,5,6,8,2,4,1]=>[6,2,4,3,1,7,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,7,2,6,3,8]=>[8,4,5,2,7,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,5,8,3,1,7,6]=>[7,5,4,1,6,8,2,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,4,7,5,8,3,6,2]=>[8,5,2,4,1,6,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,8,7,3,5,1,4]=>[7,3,1,2,6,4,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,8,6,2,5,1,3]=>[5,2,1,3,7,4,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,7,3,5,6,2,1]=>[5,1,2,6,4,3,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,6,2,5,8,7,4]=>[8,6,3,7,4,1,2,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,7,1,4,6,3,2]=>[4,1,2,8,5,3,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,5,1,3,4,8,7]=>[3,7,4,8,6,5,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,5,1,3,4,8,7]=>[7,3,4,8,6,5,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,5,1,2,7,3,8]=>[5,3,4,8,7,2,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,4,1,2,7,3,8]=>[4,3,5,8,7,2,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,5,6,2,4,3,7]=>[1,8,4,3,7,5,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,1,2,7,3,8]=>[3,5,4,8,7,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,6,1,3,2,7,8]=>[4,5,3,8,6,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,1,4,3,2,6,8]=>[4,2,8,5,6,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,4,1,3,7,5,8]=>[7,3,5,8,6,2,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,2,3,7,1,4,6]=>[4,1,7,6,2,8,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,4,3,1,8,6,5]=>[7,2,5,6,8,1,3,4]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,8,5,3,2,1,6,4]=>[2,1,4,6,7,8,3,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,5,8,3,4,2,6,7]=>[8,4,1,6,5,7,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,6,5,2,4,8,3]=>[2,8,3,4,7,5,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,1,3,8,2,6,7,4]=>[4,8,6,1,7,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,6,7,8,4,5,3]=>[8,7,3,2,1,5,4,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [6,1,4,8,2,7,5,3]=>[3,8,5,1,7,2,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,8,1,2,5,3,6]=>[2,5,1,8,7,4,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,8,1,5,4,3,7]=>[3,7,1,8,4,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,3,5,6,8,2,7,4]=>[8,6,4,3,1,7,2,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,4,5,7,1,6,8,2]=>[6,5,4,2,8,3,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [5,2,3,7,1,8,4,6]=>[4,7,6,2,8,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,8,2,1,6,7]=>[6,4,5,1,7,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,3,1,8,4,6,5]=>[2,7,6,8,1,5,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,6,7,4,3,2,5]=>[8,1,3,2,5,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,3,1,4,8,7,6]=>[7,4,6,8,5,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,3,4,5,1,8,6,2]=>[2,6,5,4,8,1,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,6,7,4,8,2,3]=>[8,4,3,2,5,1,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,8,1,5,4,3,2,6]=>[2,1,8,4,5,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,1,4,7,2,6,5,8]=>[6,8,5,2,7,3,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,5,1,6,4,8]=>[6,7,2,4,8,3,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,3,8,1,2,4,6]=>[4,2,6,1,8,7,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,5,2,7,6,3,1,8]=>[5,4,7,2,3,6,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,2,1,7,6,3,8]=>[5,4,7,8,2,3,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,5,1,3,6,4,8]=>[7,2,4,8,6,3,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,5,6,1,4,3,8]=>[7,2,4,3,8,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,3,8,1,2,6]=>[2,5,4,6,1,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,1,5,7,4,8,2]=>[6,3,8,4,2,5,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,7,2,8,3,4,1]=>[4,3,2,7,1,6,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,8,3,1,4,5]=>[7,3,2,1,6,8,5,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,6,1,7,8,3,2,4]=>[4,3,8,2,1,6,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,3,7,8,2,1,5]=>[5,3,6,2,1,7,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,3,7,8,2,5,1]=>[5,3,6,2,1,7,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,4,8,2,5,1]=>[3,2,6,5,1,7,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,4,8,2,1,5]=>[3,2,6,5,1,7,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,1,5,8,2,6]=>[2,6,5,8,4,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,7,1,8,4,2,3]=>[4,3,2,8,1,5,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,8,4,6,5,2,3]=>[8,2,1,5,3,4,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,2,8,6,5,4]=>[8,2,6,7,1,3,4,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,1,2,8,6,5,4]=>[6,2,8,7,1,3,4,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,7,3,1,8,6,5,4]=>[7,2,6,8,1,3,4,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,8,1,6,5,3,4]=>[7,2,1,8,3,4,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,1,3,4,7,5,2]=>[3,1,8,6,5,2,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,2,8,7,1,5,3,4]=>[3,7,1,2,8,4,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,8,1,7,6,3,4]=>[7,4,1,8,2,3,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,8,7,6,3,1,5]=>[7,5,1,2,3,6,8,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,1,8,7,3,4,6,2]=>[4,8,1,2,6,5,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,5,7,3,4,6,2]=>[1,8,4,2,6,5,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,2,7,6,3,1,4]=>[4,1,7,2,3,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,4,7,6,3,1,5]=>[7,1,5,2,3,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,2,4,7,6,3,5]=>[8,1,7,5,2,3,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,8,7,6,3,2,5]=>[8,5,1,2,3,6,7,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,8,4,7,6,3,2,5]=>[8,1,5,2,3,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,1,6,8,7,4,3]=>[7,4,8,3,1,2,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,5,8,7,1,6,2,3]=>[5,4,1,2,8,3,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,6,1,8,7,5,4]=>[6,7,3,8,1,2,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,1,4,8,7,5,6,2]=>[6,8,5,1,2,4,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,5,8,6,7,4,2]=>[8,6,4,1,3,2,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,8,2,4,6,7,5,3]=>[8,1,7,5,3,2,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,4,7,3,8,5,6,2]=>[8,5,2,6,1,4,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,8,2,5,6,3]=>[8,5,2,1,7,4,3,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,7,8,1,5,6,4]=>[7,6,2,1,8,4,3,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,1,8,4,7,6,3]=>[7,4,8,1,5,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,7,4,8,6,5,3]=>[7,8,2,5,1,3,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,7,3,8,4,2,6,5]=>[8,2,6,1,5,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,7,1,8,6,5,4]=>[7,6,2,8,1,3,4,5]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,2,8,1,7,6,5]=>[6,5,7,1,8,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,5,8,1,7,6,3]=>[7,5,4,1,8,2,3,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,8,5,1,7,6,4]=>[7,6,1,4,8,2,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,8,3,5,2,7,6,4]=>[8,1,6,4,7,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,8,2,6,7,5,4]=>[6,8,1,7,3,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,7,2,8,6,5,4]=>[6,8,2,7,1,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,6,8,1,4,3,7,5]=>[7,3,1,8,5,6,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,8,2,6,7,3,5]=>[5,8,1,7,3,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,5,2,8,7,3,4]=>[8,3,4,7,1,2,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,5,8,7,3,4]=>[7,3,8,4,1,2,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,7,3,5,2,4,6]=>[1,8,2,6,4,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,3,2,7,6,4,5]=>[1,8,6,7,2,3,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,6,5,3,2,7,4]=>[1,8,3,4,6,7,2,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,7,6,3,2,5,4]=>[1,8,2,3,6,7,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,3,4,8,6,2,5,1]=>[2,6,5,1,3,7,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,1,4,3,2,8,6]=>[4,2,8,5,6,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,5,3,2,8,1,4]=>[3,2,4,6,7,1,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,8,4,5,3,1,7,2]=>[3,1,5,4,6,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,4,5,3,1,8,2]=>[3,2,5,4,6,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,5,3,4,1,7,8]=>[3,7,4,6,5,8,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,5,1,2,8,3]=>[2,5,3,4,8,7,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,5,3,2,8,4,1]=>[3,2,4,6,7,1,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,2,5,3,8,1,4,7]=>[3,7,4,6,1,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,5,3,7,1,4,8]=>[3,7,4,6,2,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,6,8,1,4,2,5,3]=>[2,3,1,8,5,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,5,1,8,7,4,2]=>[3,6,4,8,1,2,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,8,5,3,2,7,4,1]=>[3,1,4,6,7,2,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,3,4,7,2,8,1,5]=>[3,6,5,2,7,1,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,8,2,7,1,5]=>[3,6,5,1,7,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,5,3,8,1,7]=>[3,7,5,4,6,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,7,4,3,1,8,6]=>[4,7,2,5,6,8,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,6,4,3,2,7,1]=>[4,1,3,5,6,7,2,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,7,4,3,2,6,1]=>[4,1,2,5,6,7,3,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,1,2,6,3,5,4,7]=>[1,8,7,3,6,4,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,4,7,8,3,2]=>[3,8,4,5,2,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,5,4,6,3,2,7]=>[1,8,4,5,3,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,5,4,2,7,6,1]=>[6,1,4,5,7,2,3,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,6,1,4,8,7,2,3]=>[4,3,8,5,1,2,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,2,4,8,1,7,3]=>[4,3,7,5,1,8,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,4,5,8,7,3]=>[8,3,7,5,4,1,2,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,5,3,8,6,4]=>[2,8,7,4,6,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,8,4,1,5,7,2]=>[6,3,1,5,8,4,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,1,4,5,7,8,3]=>[7,3,8,5,4,2,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,8,2,6,3,5,7,4]=>[8,1,7,3,6,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,8,1,3,4,2,6]=>[2,4,1,8,6,5,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,2,8,3,5,7,6]=>[8,5,7,1,6,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,5,4,8,7,2,6]=>[8,6,4,5,1,2,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,4,8,3,7,5]=>[8,3,7,5,1,6,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,8,3,4,6,5]=>[2,8,7,1,6,5,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,3,2,6,5,4,8]=>[2,8,6,7,3,4,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,3,6,2,7,5,8,4]=>[8,6,3,7,2,4,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,5,4,2,6,3]=>[8,2,1,4,5,7,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,5,2,8,6,4,7,3]=>[8,4,7,1,3,5,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,4,2,6,5,7,3]=>[8,1,5,7,3,4,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,2,7,4,8,3]=>[8,3,4,7,2,5,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,8,4,2,5,3]=>[3,2,8,1,5,7,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,8,5,2,6,3]=>[5,8,2,1,4,7,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,8,6,4,2,5,3]=>[2,8,1,3,5,7,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,1,6,8,5,2,7,3]=>[5,8,3,1,4,7,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,4,2,8,6,7,3]=>[8,4,5,7,1,3,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,2,8,6,7,4]=>[8,6,4,7,1,3,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,5,6,2,7,4]=>[8,6,1,4,3,7,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,4,6,2,7,3]=>[8,1,4,5,3,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,4,6,2,8,3]=>[8,2,4,5,3,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,1,6,2,7,3]=>[4,1,5,8,3,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,1,7,2,8,3]=>[3,5,4,8,2,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,3,1,2,8,7,6]=>[5,4,6,8,7,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,8,1,2,4,3,6]=>[4,2,1,8,7,5,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,6,4,2,1,3,8]=>[4,2,3,5,7,8,6,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,5,7,4,1,3,2,8]=>[3,4,2,5,8,6,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,1,8,3,5,2,7]=>[5,3,8,1,6,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,8,2,5,4,3]=>[2,8,3,1,7,4,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,1,8,3,2,5,6]=>[5,2,8,1,6,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,3,6,1,5,2,7]=>[5,1,6,3,8,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,8,6,4,5,1,7]=>[6,7,1,3,5,4,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,8,7,4,3,5,2]=>[8,3,1,2,5,6,4,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,3,4,2,8,1,5,6]=>[2,6,5,7,1,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,4,3,5,8,2,6]=>[2,8,5,6,4,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,2,6,8,7,5,4]=>[6,8,7,3,1,2,4,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,5,6,3,7,4,1,2]=>[1,4,3,6,2,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,4,2,1,8,6,3]=>[4,2,5,7,8,1,3,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,4,6,1,8,5,3,2]=>[2,5,3,8,1,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,4,6,3,8,1,5,2]=>[2,5,3,6,1,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,8,3,6,2,1,5]=>[2,5,1,6,3,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,8,2,3,5,7,1]=>[3,5,1,7,6,4,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,2,4,1,5,8,3,7]=>[3,7,5,8,4,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,4,8,1,5,7,3]=>[3,7,5,1,8,4,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,8,2,5,7,1,3]=>[5,3,1,7,4,2,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,8,2,5,7,1,3]=>[3,5,1,7,4,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,4,2,3,5,7,1]=>[3,1,5,7,6,4,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,8,2,3,1,5,7]=>[5,3,1,7,6,8,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,8,2,5,1,7,3]=>[5,3,1,7,4,8,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,8,2,5,7,3,1]=>[5,3,1,7,4,2,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,4,2,3,7,1,5]=>[3,1,5,7,6,2,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,8,2,3,7,1,5]=>[3,5,1,7,6,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,4,6,2,7,1,3,5]=>[1,5,3,7,2,8,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,4,2,7,1,3,5]=>[3,1,5,7,2,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,2,6,7,5,1,3]=>[5,1,7,3,2,4,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,4,6,7,5,1,3]=>[1,7,5,3,2,4,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,6,7,1,4,3,5]=>[1,7,3,2,8,5,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,4,1,7,3,5]=>[3,1,7,5,8,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,6,1,5,8,4]=>[6,2,7,3,8,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,5,7,2,8,1,4]=>[6,3,4,2,7,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,6,4,8,2,7]=>[6,8,4,3,5,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,8,2,6,7,1,3]=>[4,5,1,7,3,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,8,5,6,7,3,1]=>[7,5,1,4,3,2,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,4,8,6,3,5,1]=>[7,2,5,1,3,6,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,2,3,8,7,1,6]=>[5,4,7,6,1,2,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,4,6,7,2,8]=>[6,8,4,5,3,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,4,7,6,1,3,8]=>[7,4,5,2,3,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,3,7,6,1,4,8]=>[4,7,6,2,3,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,3,7,6,1,5,8]=>[5,7,6,2,3,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,2,3,8,4,7,1]=>[4,3,7,6,1,5,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,3,1,7,8,4]=>[4,3,7,6,8,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,2,3,4,1,6,8]=>[4,2,7,6,5,8,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,6,3,5,1,4,8]=>[2,7,3,6,4,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,6,3,1,7,4,5]=>[1,7,3,6,8,2,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,3,4,2,7,5,8]=>[8,3,6,5,7,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,4,5,6,8,3]=>[8,2,7,5,4,3,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,2,8,1,4,6,3,5]=>[2,7,1,8,5,3,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,8,1,5,6,3,4]=>[7,2,1,8,4,3,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,1,4,6,8,3]=>[4,2,7,8,5,3,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,7,1,5,6,8,3]=>[5,7,2,8,4,3,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,3,8,1,7,5,6]=>[5,7,6,1,8,2,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,8,4,6,7,2]=>[4,8,6,1,5,3,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,3,2,6,7,8,4]=>[4,8,6,7,3,2,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,1,3,4,2,7,6,8]=>[4,8,6,5,7,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,4,2,7,5,8]=>[3,8,6,5,7,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,7,2,3,4,5,1]=>[3,1,2,7,6,5,4,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,2,8,1,4,5,6]=>[6,2,7,1,8,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,2,3,7,4,6,1,8]=>[4,7,6,2,5,3,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,3,7,4,6,1,8]=>[7,4,6,2,5,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,7,3,4,5,1,8]=>[7,3,2,6,5,4,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,4,5,2,1,6,7]=>[6,1,5,4,7,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,7,5,1,3,4,6]=>[7,1,2,4,8,6,5,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,5,7,2,8,3,6,1]=>[5,4,2,7,1,6,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,7,2,8,3,4]=>[8,3,4,2,7,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,3,7,8,1,4]=>[3,7,4,6,2,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,5,6,8,1,2,4,3]=>[2,4,3,1,8,7,5,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,6,2,8,1,4,3]=>[2,4,3,7,1,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,4,6,2,8,7,3]=>[8,4,5,3,7,1,2,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,4,6,2,8,3,7]=>[8,4,5,3,7,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,6,4,8,2,3,7]=>[8,4,3,5,1,7,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,5,6,8,4,1,3,2]=>[2,4,3,1,5,8,6,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,7,5,1,4,2,6]=>[1,6,2,4,8,5,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,5,7,3,6,2,4]=>[1,8,4,2,6,3,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,6,2,7,1,3,4]=>[1,4,3,7,2,8,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,4,7,2,6,5,1,3]=>[1,5,2,7,3,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,7,3,2,6,1,4]=>[1,4,2,6,7,3,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,2,3,6,4,7,5]=>[1,8,7,6,3,5,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,7,8,1,6,2]=>[5,4,6,2,1,8,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,7,5,1,6,2,8]=>[5,6,2,4,8,3,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,6,1,4,3,7,8]=>[4,7,3,8,5,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,7,4,2,8,6,1]=>[4,6,2,5,7,1,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,2,8,7,1,4,3]=>[4,3,7,1,2,8,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,3,5,2,7,8,1]=>[5,3,6,4,7,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,8,6,1,4,3]=>[2,7,4,1,3,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,1,5,7,8,2]=>[5,6,3,8,4,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,4,1,2,6,7,8]=>[6,4,5,8,7,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [4,6,7,1,3,5,8,2]=>[5,3,2,8,6,4,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,3,4,7,2,8]=>[4,3,8,6,5,2,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,4,1,7,5,8]=>[6,3,7,5,8,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,7,4,8,5,1]=>[6,7,3,2,5,1,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,3,8,4,5,2,6]=>[2,8,6,1,5,4,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,8,3,4,6,2,5]=>[2,8,1,6,5,3,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,2,7,1,4,5,3,8]=>[3,7,2,8,5,4,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,6,1,5,7,3,8]=>[5,7,3,8,4,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,4,1,3,6,7,8]=>[7,4,5,8,6,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,4,3,1,5,8,2]=>[3,2,5,6,8,4,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,1,6,7,8,4,5,2]=>[6,8,3,2,1,5,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,5,6,2,1,8,3]=>[2,5,4,3,7,8,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,5,6,7,3,1,4]=>[1,7,4,3,2,6,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,2,7,1,8,3]=>[3,5,4,7,2,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,7,8,4,2,3,1,6]=>[4,2,1,5,7,6,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,3,4,1,7,8,2,5]=>[3,6,5,8,2,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,1,5,3,4,2,7]=>[3,1,8,4,6,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,6,1,8,2,7]=>[5,6,4,3,8,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,8,3,4,7,1,5]=>[3,7,1,6,5,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,8,2,3,7,1,6]=>[5,4,1,7,6,2,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,4,8,2,5,1,6]=>[2,6,5,1,7,4,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,5,1,8,4,7]=>[3,7,6,4,8,1,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,1,5,4,2,3,7]=>[3,1,8,4,5,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,4,7,3,1,5,8]=>[3,7,5,2,6,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,2,5,1,6,8,3]=>[5,2,7,4,8,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,4,5,8,2,7,6]=>[6,8,5,4,1,7,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,1,8,2,6,5]=>[5,2,6,8,1,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,8,4,7,1,5]=>[3,7,6,1,5,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,2,8,4,6,3,7]=>[4,8,7,1,5,3,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,6,2,8,3,7]=>[4,8,5,3,7,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,4,6,5,8,1,7]=>[6,7,5,3,4,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,3,7,4,2,1]=>[3,1,4,6,2,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,2,8,1,5,6,4,3]=>[2,7,1,8,4,3,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,6,4,1,5,7,2]=>[1,6,3,5,8,4,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,6,1,4,8,2,3]=>[2,4,3,8,5,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,1,3,2,7,5,4]=>[3,1,8,6,7,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,3,6,4,1,2,8]=>[4,2,6,3,5,8,7,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,4,3,8,1,5,6]=>[2,7,5,6,1,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,3,5,8,1,6,7]=>[7,5,6,4,1,8,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,2,6,7,4,3,1]=>[4,1,7,3,2,5,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,7,5,1,6,4,2,8]=>[6,2,4,8,3,5,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,5,7,3,4,6,1]=>[1,7,4,2,6,5,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,7,4,8,6,3,1]=>[4,7,2,5,1,3,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,2,5,8,1,7,3,4]=>[3,7,4,1,8,2,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,4,3,5,7,8]=>[3,8,7,5,6,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,5,6,1,4,2,7,3]=>[1,4,3,8,5,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,6,1,4,2,7,3]=>[4,1,3,8,5,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,8,2,7,3,4,1]=>[3,4,1,7,2,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,6,8,4,3,2,5]=>[8,2,3,1,5,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,6,5,3,8,2,4]=>[8,2,3,4,6,1,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,4,5,7,1,3,2,8]=>[3,5,4,2,8,6,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,4,3,5,8,7]=>[3,8,7,5,6,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,2,4,3,7,5,8]=>[3,8,7,5,6,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,8,2,3,6,1]=>[2,5,4,1,7,6,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,1,3,7,8,5,2]=>[5,3,8,6,2,1,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,2,4,3,5,8,6]=>[2,8,7,5,6,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,8,4,7,1,3,2]=>[4,3,1,5,2,8,6,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,2,7,1,4,8]=>[3,6,4,7,2,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,8,7,2,4,1,5,3]=>[3,1,2,7,5,8,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,7,1,4,2,6]=>[4,6,1,2,8,5,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,5,3,1,8,7,2]=>[3,5,4,6,8,1,2,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,6,1,5,4,7,3]=>[7,1,3,8,4,5,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,4,7,1,2,5]=>[6,1,3,5,2,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,7,5,4,3,2,6]=>[8,1,2,4,5,6,7,3]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [3,1,4,7,6,2,5,8]=>[6,8,5,2,3,7,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,1,4,6,3,5,8]=>[7,2,8,5,3,6,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,4,5,2,7,3,8]=>[3,8,5,4,7,2,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,5,8,2,7,4,3]=>[3,8,4,1,7,2,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,8,7,5,4,6,2]=>[6,8,1,2,4,5,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,8,3,7,5,4,6,2]=>[8,1,6,2,4,5,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,3,8,7,4,5,2]=>[3,8,6,1,2,5,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,1,3,7,4,8,2]=>[4,3,8,6,2,5,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,8,5,4,7,2]=>[8,3,6,1,4,5,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,5,6,1,3,7,4]=>[1,7,4,3,8,6,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,4,6,5,1,7,3]=>[7,1,5,3,4,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,4,7,1,8,2,6]=>[4,6,5,2,8,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,1,6,4,3,2,5]=>[2,1,8,3,5,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,7,2,1,3,5,4]=>[3,1,2,7,8,6,4,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,2,8,1,3,6,4]=>[4,2,7,1,8,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,6,8,3,1,5,2,4]=>[2,3,1,6,8,4,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,4,8,2,7,6,5]=>[6,8,5,1,7,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,4,6,1,2,7,5]=>[6,1,5,3,8,7,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,4,5,1,7,3,2,6]=>[1,5,4,8,2,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,8,4,1,3,6,5]=>[7,2,1,5,8,6,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,6,7,5,8,1,3]=>[7,5,3,2,4,1,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,4,6,3,7,8,1,5]=>[7,5,3,6,2,1,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,5,6,8,7,1,3]=>[7,5,4,3,1,2,8,6]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,5,6,3,8,1,7]=>[7,5,4,3,6,1,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,6,8,5,1,7]=>[7,6,5,3,1,4,8,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,8,6,3,4,7,5,2]=>[8,1,3,6,5,2,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,3,5,8,4,7,2]=>[8,3,6,4,1,5,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,3,4,1,6,7]=>[4,7,1,6,5,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,4,1,2,7,8,5]=>[6,3,5,8,7,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,7,3,8,6,2,5]=>[5,8,2,6,1,3,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,8,5,4,3,2,7]=>[3,8,1,4,5,6,7,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,3,6,4,1,8,2,7]=>[4,6,3,5,8,1,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,2,7,6,8,4,3]=>[8,4,7,2,3,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,5,6,2,7,3,4]=>[1,8,4,3,7,2,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,1,6,3,7,8]=>[5,4,7,8,3,6,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,5,4,1,6,8,3]=>[2,7,4,5,8,3,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,7,6,4,3,1,2,8]=>[4,2,3,5,6,8,7,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [4,6,8,7,1,3,2,5]=>[5,3,1,2,8,6,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,8,3,1,2,5]=>[5,2,3,1,6,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,8,6,3,5,2,4]=>[8,2,1,3,6,4,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,2,7,6,5,1,3]=>[5,1,7,2,3,4,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,8,2,1,6,4,3]=>[2,4,1,7,8,3,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,6,4,8,5,7,3,1]=>[7,3,5,1,4,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,8,5,2,1,7,6]=>[6,5,1,4,7,8,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,8,7,1,3,2,6,5]=>[5,1,2,8,6,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,7,4,6,1,3,2]=>[4,1,2,5,3,8,6,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,8,7,6,2,5]=>[6,5,8,1,2,3,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,5,6,8,7,2,4]=>[8,6,4,3,1,2,7,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [8,1,5,7,4,2,6,3]=>[1,8,4,2,5,7,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,7,3,4,1,6,2]=>[4,1,2,6,5,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,3,2,8,5,7]=>[5,3,8,6,7,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,5,8,3,1,4,7]=>[7,3,4,1,6,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,8,2,4,5,3,1]=>[3,2,1,7,5,4,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [8,3,6,4,2,7,1,5]=>[1,6,3,5,7,2,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,8,4,7,6,2,5]=>[8,6,1,5,2,3,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,3,7,5,4,1,2,6]=>[1,6,2,4,5,8,7,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,6,4,7,8,5,1,3]=>[7,3,5,2,1,4,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,2,8,7,6,4,5]=>[6,8,7,1,2,3,5,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,2,5,8,4,1,3]=>[3,2,7,4,1,5,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,7,8,2,5,6,3]=>[5,8,2,1,7,4,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,6,7,1,5,8,2]=>[6,5,3,2,8,4,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,5,7,8,1,6,2]=>[6,5,4,2,1,8,3,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,8,7,4,3,5,2,6]=>[8,1,2,5,6,4,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,5,2,8,1,3,7,6]=>[5,4,7,1,8,6,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,6,5,1,4,7,2]=>[1,6,3,4,8,5,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,4,5,8,1,3,7,6]=>[7,5,4,1,8,6,2,3]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,2,3,1,7,4,5,8]=>[3,7,6,8,2,5,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,7,4,6,3,1,5]=>[1,7,2,5,3,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,3,4,7,8,2,5]=>[3,8,6,5,2,1,7,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,6,7,8,1,4]=>[7,4,6,3,2,1,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,6,2,7,8,4,3]=>[8,4,3,7,2,1,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,8,4,3,7,6,2]=>[4,8,1,5,6,2,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,4,1,6,7,3,8]=>[4,7,5,8,3,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,7,1,2,4,8,3]=>[3,4,2,8,7,5,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,2,8,1,3,5,4,6]=>[2,7,1,8,6,4,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,4,6,5,7,3,2]=>[1,8,5,3,4,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,3,5,6,1,4,7]=>[7,1,6,4,3,8,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,6,4,2,7,5,8]=>[8,6,3,5,7,2,4,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,7,5,8,1,4,6]=>[7,6,2,4,1,8,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,8,5,6,1,4,7]=>[6,7,1,4,3,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,5,8,1,4,6,3]=>[2,7,4,1,8,5,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,5,8,1,2,3,6]=>[5,2,4,1,8,7,6,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,4,7,5,2,8,1,6]=>[6,5,2,4,7,1,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,7,3,8,1,6]=>[7,4,5,2,6,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,8,4,2,1,6,5]=>[6,2,1,5,7,8,3,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,5,8,1,2,3,7]=>[5,3,4,1,8,7,6,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,5,8,7,4,2,1]=>[3,6,4,1,2,5,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,8,2,7,6,3,1,5]=>[5,1,7,2,3,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,3,5,6,8,2,7]=>[5,8,6,4,3,1,7,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,3,4,8,7,5,2]=>[3,8,6,5,1,2,4,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,4,8,2,7,5,6,3]=>[8,5,1,7,2,4,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,1,7,5,3,6]=>[7,5,1,8,2,4,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,8,3,7,6,5]=>[7,5,8,1,6,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,1,4,5,2,7,3]=>[3,1,8,5,4,7,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,8,5,7,2,4]=>[6,3,8,1,4,2,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,8,7,6,2,3]=>[8,4,5,1,2,3,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,4,5,8,1,6,7]=>[6,7,5,4,1,8,3,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,8,5,1,6,2,7]=>[5,6,1,4,8,3,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,7,8,2,5,3,6]=>[8,5,2,1,7,4,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,8,4,2,7,6,1,5]=>[6,1,5,7,2,3,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,1,6,2,8,4]=>[6,2,4,8,3,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,7,6,2,1,5]=>[5,1,6,2,3,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,4,7,6,3,8,2,5]=>[8,5,2,3,6,1,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,6,5,1,7,2,8,4]=>[6,3,4,8,2,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,8,2,4,7,5]=>[8,6,3,1,7,5,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,8,3,7,4,2,1,5]=>[3,1,6,2,5,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,7,4,3,8,2,5]=>[8,3,2,5,6,1,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,8,5,4,2,7,3]=>[3,8,1,4,5,7,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,6,1,8,5,2,7,3]=>[5,3,8,1,4,7,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,5,1,6,2,7,3]=>[5,1,4,8,3,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,1,6,2,8,4]=>[4,2,6,8,3,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,8,2,6,3,7,4]=>[8,4,1,7,3,6,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,1,7,2,8,4]=>[4,3,6,8,2,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,8,5,1,6,3]=>[5,2,7,1,4,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,1,7,2,8,5,3]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,3,8,7,5,1,6]=>[7,5,6,1,2,4,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,4,1,8,6,2,7]=>[6,4,5,8,1,3,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,7,3,1,4,8,2]=>[3,4,2,6,8,5,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,5,8,2,6,3,7]=>[5,8,4,1,7,3,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,1,3,4,7,6,5]=>[7,1,8,6,5,2,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,8,6,2,1,5,4,3]=>[2,1,3,7,8,4,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,1,3,7,5,8,6,4]=>[7,8,6,2,4,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,4,8,6,5,1,7]=>[6,7,5,1,3,4,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,6,1,3,7,5,4]=>[7,1,3,8,6,2,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,5,2,4,8,1,3]=>[3,2,4,7,5,1,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,6,7,2,3,5,1,4]=>[1,3,2,7,6,4,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,6,2,4,5,1,3]=>[2,1,3,7,5,4,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,8,7,5,6,4]=>[7,8,6,1,2,4,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,7,3,6,5,2,4]=>[1,8,2,6,3,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,4,7,3,8,5,2]=>[8,3,5,2,6,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,5,7,1,2,4,8]=>[6,3,4,2,8,7,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,1,6,3,7,2,5]=>[5,1,8,3,6,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,5,6,3,2,7,1]=>[5,1,4,3,6,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,8,6,4,5,2,3]=>[8,2,1,3,5,4,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,2,1,4,8,5,3]=>[3,2,7,8,5,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,4,8,5,7,1,3]=>[7,3,5,1,4,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,6,3,4,5,7,2]=>[8,1,3,6,5,4,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,2,7,3,6,5,1,4]=>[1,7,2,6,3,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,8,6,1,4,5,3]=>[2,7,1,3,8,5,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,7,3,4,8,6,1]=>[4,7,2,6,5,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,3,2,4,8,6,1]=>[4,2,6,7,5,1,3,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,8,5,4,3,1,7]=>[7,3,1,4,5,6,8,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,8,4,6,3,5,1,7]=>[7,1,5,3,6,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,4,3,5,6,2,7]=>[8,1,5,6,4,3,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,8,3,6,4,5,1]=>[7,2,1,6,3,5,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,1,4,6,5,2,7]=>[6,1,8,5,3,4,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,5,4,1,8,3,6]=>[7,2,4,5,8,1,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,6,1,8,5,3,2,7]=>[5,3,8,1,4,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,5,2,1,6,4,7]=>[6,1,4,7,8,3,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,5,8,1,3,7,6,2]=>[5,4,1,8,6,2,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [8,6,7,1,4,3,2,5]=>[1,3,2,8,5,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,6,1,2,7,4,5]=>[1,6,3,8,7,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,6,2,1,8,5,4]=>[6,2,3,7,8,1,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,3,7,6,1,8,5,2]=>[5,6,2,3,8,1,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,8,1,5,4,7,2,3]=>[3,1,8,4,5,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,5,4,8,1,3]=>[3,2,7,4,5,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,8,7,3,1,2,5]=>[5,3,1,2,6,8,7,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,7,2,1,6,3,4,8]=>[4,2,7,8,3,6,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,6,8,7,4,1,2]=>[4,6,3,1,2,5,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,2,6,8,3,4,1]=>[4,2,7,3,1,6,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,5,2,1,8,6]=>[2,6,5,4,7,8,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,4,5,2,8,6,1]=>[2,6,5,4,7,1,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,6,2,8,1,4,7]=>[6,4,3,7,1,8,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,5,2,6,3,7,1]=>[5,1,4,7,3,6,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,4,6,1,3,5,8]=>[7,2,5,3,8,6,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,4,6,8,3,1,5]=>[7,2,5,3,1,6,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,6,8,4,2,3]=>[2,8,4,3,1,5,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,2,5,6,4,7,3]=>[1,8,7,4,3,5,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,1,6,3,7,4]=>[7,1,4,8,3,6,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,4,3,7,6,8]=>[4,8,7,5,6,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,8,2,4,3,5,7]=>[3,8,1,7,5,6,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,4,1,3,6,5,8]=>[2,7,5,8,6,3,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,8,2,5,3,4,7]=>[8,3,1,7,4,6,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,4,1,8,2,5,7]=>[6,3,5,8,1,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,8,1,7,4,6,2]=>[4,6,1,8,2,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,4,8,7,1,2,6,3]=>[4,5,1,2,8,7,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,2,6,5,4,7,3]=>[1,8,7,3,4,5,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,6,4,3,8,1,7]=>[7,4,3,5,6,1,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,5,6,4,8,3,7]=>[8,7,4,3,5,1,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,1,8,5,2,7,3,6]=>[5,8,1,4,7,2,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,3,1,8,2,5,7]=>[5,3,6,8,1,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,4,5,2,1,7,3,6]=>[1,5,4,7,8,2,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,3,4,8,1,7,5]=>[7,3,6,5,1,8,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,8,5,2,7,1]=>[5,3,6,1,4,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,7,6,2,3,5,4]=>[8,1,2,3,7,6,4,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,1,8,4,5,6,2,3]=>[2,8,1,5,4,3,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,8,3,1,6,7,4]=>[4,7,1,6,8,3,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,3,4,2,1,5,7]=>[3,1,6,5,7,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,3,4,2,6,5,1]=>[2,1,6,5,7,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,8,6,3,2,5,4]=>[8,2,1,3,6,7,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,2,4,5,6,1,8]=>[6,2,7,5,4,3,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,7,1,4,5,6,3,8]=>[7,2,8,5,4,3,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,8,1,5,7,4,6]=>[6,7,1,8,4,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,7,4,5,6,3,2]=>[1,8,2,5,4,3,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,2,6,5,7,3,4,8]=>[8,7,3,4,2,6,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,6,5,1,3,4,2]=>[2,1,3,4,8,6,5,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,2,5,4,6,8,3,1]=>[2,7,4,5,3,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,6,7,1,4,3,8,5]=>[7,3,2,8,5,6,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,2,1,8,3,4]=>[4,2,3,7,8,1,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,3,7,4,5,1,2,8]=>[3,6,2,5,4,8,7,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,7,4,8,5,6,1]=>[6,7,2,5,1,4,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,5,1,6,3,8,4]=>[2,7,4,8,3,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,8,5,4,2,7,1]=>[3,6,1,4,5,7,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,1,3,8,7,4,6,2]=>[4,8,6,1,2,5,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,3,8,7,4,1,6]=>[7,4,6,1,2,5,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,3,5,1,2,7,4]=>[3,1,6,4,8,7,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,2,7,4,6,3,1]=>[4,1,7,2,5,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,2,8,3,7,1,6]=>[5,4,7,1,6,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,5,1,6,4,3,2]=>[2,1,4,8,3,5,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,5,8,3,1,2,7,6]=>[5,4,1,6,8,7,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,8,3,2,1,7,5]=>[5,3,1,6,7,8,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,8,3,5,1,2,7]=>[5,3,1,6,4,8,7,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,3,1,6,2,7]=>[5,4,1,6,8,3,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,7,3,5,2,1,8]=>[5,3,2,6,4,7,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,3,4,8,1,5]=>[2,7,3,6,5,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,5,2,4,3,7,6]=>[8,1,4,7,5,6,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,3,4,8,7,6]=>[7,4,8,6,5,1,2,3]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,4,6,3,7,5,2,8]=>[8,5,3,6,2,4,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,5,8,3,4,7,2,1]=>[3,4,1,6,5,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,2,6,8,7,3,1]=>[5,4,7,3,1,2,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,7,6,3,1,5,2,8]=>[5,2,3,6,8,4,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,3,8,5,2,4]=>[8,2,3,6,1,4,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,8,1,4,5,6,2]=>[6,2,1,8,5,4,3,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,3,1,4,5,6,8]=>[7,2,6,8,5,4,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,8,7,4,2,5,6,3]=>[8,1,2,5,7,4,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,4,2,7,5,6,3]=>[8,1,5,7,2,4,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,7,4,5,6,2]=>[8,6,1,2,5,4,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,8,7,4,5,6,1]=>[6,7,1,2,5,4,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,4,3,7,5,8,1]=>[3,7,5,6,2,4,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,4,3,7,5,1,8]=>[7,3,5,6,2,4,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,2,1,5,7,6,4]=>[6,1,7,8,4,2,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,3,2,5,7,6,4]=>[8,1,6,7,4,2,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,2,8,7,4,6,5]=>[8,6,7,1,2,5,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,2,1,7,4,6,5]=>[6,1,7,8,2,5,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,3,2,5,1,8]=>[5,3,2,6,7,4,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,4,7,3,5,6,2]=>[8,1,5,2,6,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,2,1,3,8,6,4]=>[4,2,7,8,6,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,3,7,8,1,2,5]=>[5,3,6,2,1,8,7,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,7,1,5,8,3]=>[5,3,7,2,8,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,5,4,1,6,8,3]=>[7,2,4,5,8,3,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,8,5,4,7,1,2,3]=>[3,1,4,5,2,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,3,5,4,7,1,2,6]=>[1,6,4,5,2,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,2,5,4,8,7,3,1]=>[3,7,4,5,1,2,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,2,5,4,1,7,8,3]=>[3,7,4,5,8,2,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,5,1,3,6,7,4]=>[1,7,4,8,6,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,6,4,3,2,7,5]=>[1,8,3,5,6,7,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,1,8,4,3,2,7,6]=>[4,8,1,5,6,7,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,1,5,6,3,8,7,2]=>[5,8,4,3,6,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,7,4,3,2,5,1]=>[3,1,2,5,6,7,4,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,7,8,4,3,2,5,6]=>[8,2,1,5,6,7,4,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,8,6,4,3,2,5,7]=>[8,1,3,5,6,7,4,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,1,6,5,3,2,4,7]=>[1,8,3,4,6,7,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,1,5,4,6,7,3,2]=>[1,8,4,5,3,2,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,5,6,3,7,4,1]=>[7,1,4,3,6,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,8,3,1,2,4,7]=>[4,3,1,6,8,7,5,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,8,5,1,3,7,6,4]=>[7,1,4,8,6,2,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,5,8,3,7,6,1]=>[7,5,4,1,6,2,3,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [8,3,5,4,1,7,6,2]=>[1,6,4,5,8,2,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,3,4,1,6,5,7]=>[1,7,6,5,8,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,4,6,3,2,5,7]=>[1,8,5,3,6,7,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,4,1,8,2,7,3]=>[4,3,5,8,1,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,1,3,8,7,2]=>[3,5,4,8,6,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,3,5,4,8,2,7]=>[3,8,6,4,5,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,3,8,7,2,5,6,4]=>[8,6,1,2,7,4,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,4,1,8,3,7,6]=>[7,4,5,8,1,6,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,4,8,3,7,6,2]=>[4,8,5,1,6,2,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,3,2,7,6,5,1]=>[5,1,6,7,2,3,4,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,8,7,3,4,6,5,2]=>[8,1,2,6,5,3,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,5,7,3,1,2,4,6]=>[1,4,2,6,8,7,5,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,1,2,8,7,5,4,6]=>[6,8,7,1,2,4,5,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,8,4,1,3,6,7]=>[7,4,1,5,8,6,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,1,3,2,8,4,6,7]=>[4,8,6,7,1,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,4,8,3,5,2,6,7]=>[8,5,1,6,4,7,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,3,8,5,7,2,6]=>[8,5,6,1,4,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,4,7,5,2,6]=>[8,1,6,5,2,4,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,7,6,4,8,2]=>[8,4,6,2,3,5,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,1,3,6,2,7,5]=>[5,1,8,6,3,7,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,4,8,6,5,1]=>[7,2,6,5,1,3,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,2,4,7,3,6,5]=>[8,1,7,5,2,6,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,7,3,2,4,6]=>[4,1,8,2,6,7,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,5,8,3,4,7,6]=>[7,8,4,1,6,5,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,5,1,2,7,4,6]=>[6,1,4,8,7,2,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,3,8,1,5,7,4]=>[3,7,6,1,8,4,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,7,4,8,3,6,1]=>[7,4,2,5,1,6,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,5,6,2,4,7,1,3]=>[1,4,3,7,5,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,5,6,7,1,3,2]=>[5,1,4,3,2,8,6,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,6,8,7,4,3]=>[4,8,7,3,1,2,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,3,4,6,8,2,7,5]=>[8,6,5,3,1,7,2,4]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [8,1,5,7,3,6,4,2]=>[1,8,4,2,6,3,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,7,3,8,4,5,1]=>[7,3,2,6,1,5,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,2,7,5,4,1]=>[6,1,3,7,2,4,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,1,7,6,5,2,4,8]=>[6,8,2,3,4,7,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,8,1,6,2,5,3,7]=>[5,1,8,3,7,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,7,5,1,3,4]=>[3,1,7,2,4,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,4,2,5,7,3,6]=>[8,1,5,7,4,2,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,3,1,2,4,6,7]=>[4,1,6,8,7,5,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,4,8,5,2,3,6,7]=>[8,5,1,4,7,6,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,4,8,5,2,3,7,6]=>[8,5,1,4,7,6,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,2,5,8,1,4,3,6]=>[2,7,4,1,8,5,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,5,8,6,2,3,4]=>[8,2,4,1,3,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,6,1,2,7,3,5]=>[1,5,3,8,7,2,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,4,7,1,2,6,3,5]=>[1,5,2,8,7,3,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,8,7,2,4,3,6]=>[8,4,1,2,7,5,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,7,4,2,8,1,3,5]=>[3,2,5,7,1,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,6,8,7,2,3,5]=>[5,8,3,1,2,7,6,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,6,8,2,7,3,5]=>[5,8,3,1,7,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,7,4,1,2,5]=>[3,1,6,2,5,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,7,5,6,2,8,3,1]=>[5,2,4,3,7,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,5,2,8,4,3,1]=>[3,2,4,7,1,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,4,3,2,7,5,1]=>[3,1,5,6,7,2,4,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,7,6,3,5,4,8,1]=>[7,2,3,6,4,5,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,8,4,6,3,5]=>[2,8,7,1,5,3,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,3,5,7,4,1]=>[1,7,3,6,4,2,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,3,7,6,4,8,2,5]=>[8,6,2,3,5,1,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,7,6,4,1,5,3]=>[7,1,2,3,5,8,4,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,1,5,8,7,4,3,2]=>[3,8,4,1,2,5,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,1,8,5,7,4,3,2]=>[3,8,1,4,2,5,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,4,2,7,6,5,3]=>[1,8,5,7,2,3,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,3,7,2,4,6,5]=>[1,8,6,2,7,5,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,7,3,5,8,4,1]=>[7,3,2,6,4,1,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,7,3,5,8,1,4]=>[7,3,2,6,4,1,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,6,7,1,4,8,3]=>[7,4,3,2,8,5,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,7,3,5,8,4,6,1]=>[7,2,6,4,1,5,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,3,2,8,1,6]=>[5,2,4,6,7,1,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,2,3,6,8,4,1,7]=>[4,7,6,3,1,5,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,6,4,8,2,5,1]=>[6,2,3,5,1,7,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,6,8,2,7,4]=>[4,8,6,3,1,7,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,7,2,5,4,1]=>[6,1,3,2,7,4,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,1,2,7,4,3,6]=>[4,1,8,7,2,5,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,3,6,8,1,7,5]=>[5,7,6,3,1,8,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,4,8,7,5,1]=>[6,3,7,5,1,2,4,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,3,5,8,4,6,2]=>[2,8,6,4,1,5,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,4,7,5,8,6,3]=>[7,8,5,2,4,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,8,5,2,1,4,7]=>[6,3,1,4,7,8,5,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [8,1,4,2,7,5,6,3]=>[1,8,5,7,2,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,4,2,7,5,8,1]=>[3,6,5,7,2,4,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,7,5,8,3,4,1]=>[3,7,2,4,1,6,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,7,5,8,1,6,3]=>[5,7,2,4,1,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,1,6,2,7,5]=>[1,6,5,8,3,7,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,3,1,2,5,4,7]=>[3,1,6,8,7,4,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,6,4,7,1,2,3]=>[4,1,3,5,2,8,7,6]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,1,8,7,3,4,6]=>[7,4,8,1,2,6,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,4,3,8,6,1,5]=>[2,7,5,6,1,3,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,8,4,3,5,1,7,2]=>[3,1,5,6,4,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,7,1,5,8,3]=>[5,7,3,2,8,4,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,8,1,7,4,5,2]=>[3,6,1,8,2,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,7,3,6,8,2,5]=>[8,5,2,6,3,1,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,1,4,6,8,2,5]=>[6,2,8,5,3,1,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,7,3,6,8,1,5]=>[7,5,2,6,3,1,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,7,2,6,8,1,4]=>[4,6,2,7,3,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,1,6,7,4,5,8,3]=>[7,8,3,2,5,4,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,5,7,6,1,3,2,4]=>[1,4,2,3,8,6,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,5,6,1,8,4,3]=>[7,2,4,3,8,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,6,7,4,5,8,3]=>[8,7,3,2,5,4,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,8,6,5,7,2,1,4]=>[6,1,3,4,2,7,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,7,2,5,1,6,4]=>[6,1,2,7,4,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,4,6,8,3,5]=>[7,2,8,5,3,1,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,3,8,5,4,7]=>[7,3,8,6,1,4,5,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,1,4,2,7,3,6]=>[4,1,8,5,7,2,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,4,2,8,3,6]=>[4,2,8,5,7,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,4,8,3,5,2,7]=>[3,8,5,1,6,4,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,8,6,1,5,4,7]=>[7,6,1,3,8,4,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,3,8,1,4,5,6]=>[7,2,6,1,8,5,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,1,6,8,7,4,5]=>[7,6,8,3,1,2,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,8,2,1,7,3,5]=>[3,5,1,7,8,2,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,3,1,8,7,5,6,4]=>[7,6,8,1,2,4,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,4,3,2,8,7,5]=>[3,8,5,6,7,1,2,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,4,3,2,6,8,5]=>[2,8,5,6,7,3,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,4,8,2,3,6,1,5]=>[2,5,1,7,6,3,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,6,7,2,4,3,8]=>[8,4,3,2,7,5,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,8,3,7,1,2,5,4]=>[3,1,6,2,8,7,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,2,1,4,7,3,5]=>[3,1,7,8,5,2,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,3,5,1,8,6,4]=>[7,2,6,4,8,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,8,1,6,5,4,2]=>[6,2,1,8,3,4,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [8,3,4,7,2,1,6,5]=>[1,6,5,2,7,8,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,7,5,2,4,3,8]=>[8,3,2,4,7,5,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,2,4,1,8,3,6]=>[4,2,7,5,8,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,6,4,1,5,3,7]=>[7,1,3,5,8,4,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,5,7,3,6,2,4,8]=>[8,4,2,6,3,7,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,4,5,1,3,8,2]=>[3,2,5,4,8,6,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,3,2,6,8,5,7]=>[5,8,6,7,3,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,3,2,5,4,1,6]=>[2,1,6,7,4,5,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,5,7,4,3,2,6]=>[1,8,4,2,5,6,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,1,2,4,8,3,7]=>[4,3,8,7,5,1,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,2,4,6,8,3,7]=>[4,8,7,5,3,1,6,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,2,4,5,8,3,7]=>[3,8,7,5,4,1,6,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,1,5,7,4,2,8,6]=>[6,8,4,2,5,7,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,6,1,2,3,5,4]=>[2,1,3,8,7,6,4,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,8,7,1,2,3,5,4]=>[3,1,2,8,7,6,4,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,3,1,6,4,8,5]=>[7,2,6,8,3,5,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,6,8,3,4,5]=>[7,2,8,3,1,6,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,1,6,7,3,4,5]=>[7,1,8,3,2,6,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,6,1,8,7,5]=>[6,7,5,3,8,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,8,3,6,5,2,4]=>[2,8,1,6,3,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,7,4,1,2,5,8]=>[6,3,2,5,8,7,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,4,3,6,2,8,7,5]=>[8,5,6,3,7,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,8,5,3,6,1,7]=>[7,5,1,4,6,3,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,4,8,7,1,3,6]=>[7,4,5,1,2,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,1,4,7,6,3,5]=>[7,1,8,5,2,3,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,6,7,2,1,4,8]=>[4,6,3,2,7,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,5,7,2,8,4,3]=>[3,8,4,2,7,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,8,1,7,4,3,5]=>[7,3,1,8,2,5,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,4,7,3,2,5]=>[8,3,1,5,2,6,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,7,5,4,8,1,2]=>[6,3,2,4,5,1,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,7,2,6,3,8,1]=>[5,4,2,7,3,6,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,5,4,2,8,1,3]=>[3,2,4,5,7,1,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,5,6,8,3,2,4]=>[2,8,4,3,1,6,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,5,6,4,1,8,2,3]=>[2,4,3,5,8,1,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,3,6,8,5,7,4,1]=>[7,6,3,1,4,2,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [8,4,5,6,2,1,7,3]=>[1,5,4,3,7,8,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,5,7,4,6,8,3]=>[7,8,4,2,5,3,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,4,6,8,2,1,3]=>[4,2,5,3,1,7,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,2,3,6,8,4]=>[4,2,8,7,6,3,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,3,5,7,8,1,6,4]=>[7,6,4,2,1,8,3,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [8,2,3,5,6,4,1,7]=>[1,7,6,4,3,5,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,4,2,3,6,8]=>[8,4,2,5,7,6,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,4,7,5,1,3,6,8]=>[7,5,2,4,8,6,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,4,7,5,3,6,8,1]=>[7,5,2,4,6,3,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,1,3,6,2,5,8]=>[5,2,8,6,3,7,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,2,4,7,3,6,8]=>[8,4,7,5,2,6,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,7,2,4,6,3,5]=>[1,8,2,7,5,3,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,8,1,4,7,3,6]=>[7,4,1,8,5,2,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,2,5,8,3,6]=>[5,2,8,7,4,1,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,3,6,8,5,7,1,4]=>[7,6,3,1,4,2,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,4,7,8,6,3,5]=>[8,7,5,2,1,3,6,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,3,5,7,8,4,1,6]=>[7,6,4,2,1,5,8,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,7,8,3,5,1,6]=>[7,5,2,1,6,4,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,3,6,2,5,8,4,7]=>[8,6,3,7,4,1,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,5,8,4,7,1]=>[6,3,7,4,1,5,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,3,6,4,7,1]=>[7,4,1,6,3,5,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,1,3,6,4,7]=>[7,4,1,8,6,3,5,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,3,6,8,2,4,7]=>[8,4,6,3,1,7,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,4,7,8,1,6]=>[6,4,7,5,2,1,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,3,5,2,4,6,1,7]=>[1,6,4,7,5,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,4,7,1,2,5,8]=>[6,3,5,2,8,7,4,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,1,2,6,3,7,5]=>[5,1,8,7,3,6,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,2,7,3,6,5]=>[8,1,5,7,2,6,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,2,3,8,6,4]=>[8,2,4,7,6,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,4,7,3,5,2,6]=>[1,8,5,2,6,4,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,8,3,7,4,5]=>[7,3,8,1,6,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,7,6,8,3,4]=>[7,4,8,2,3,1,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,6,3,7,5,8,4]=>[8,7,3,6,2,4,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,3,2,4,7,6]=>[4,8,1,6,7,5,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,5,4,6,7,8,2]=>[6,8,4,5,3,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,8,5,7,3,1,4,6]=>[7,1,4,2,6,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,8,7,3,1,4,5]=>[7,3,1,2,6,8,5,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,5,3,2,4,8,6]=>[8,2,4,6,7,5,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,4,1,6,5,7,8,2]=>[6,5,8,3,4,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,7,3,4,1,5,6]=>[7,1,2,6,5,8,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,6,2,3,8,1,4]=>[4,2,3,7,6,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,7,6,2,8,1,3]=>[5,4,2,3,7,1,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,1,8,7,5,2,6,4]=>[6,8,1,2,4,7,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,5,6,8,7,2,1,3]=>[5,4,3,1,2,7,8,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [3,8,4,1,5,2,7,6]=>[6,1,5,8,4,7,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,1,4,2,7,6]=>[6,1,4,8,5,7,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,8,3,2,7,6]=>[5,8,4,1,6,7,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,8,3,2,6,5]=>[5,8,2,1,6,7,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,7,8,3,2,6,4]=>[4,8,2,1,6,7,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,6,2,4,3,7,5]=>[8,1,3,7,5,6,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,7,2,4,3,6,5]=>[8,1,2,7,5,6,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,6,2,5,3,7,4]=>[8,1,3,7,4,6,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,1,6,2,7,5]=>[6,1,5,8,3,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,1,6,2,7,5]=>[5,1,6,8,3,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,1,6,4,7,5]=>[6,1,7,8,3,5,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,3,1,7,4,6,5]=>[7,1,6,8,2,5,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,6,8,2,1,5,4]=>[2,6,3,1,7,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,6,8,3,1,5,4]=>[2,7,3,1,6,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,3,1,7,2,6,4]=>[4,1,6,8,2,7,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,1,7,2,6,4]=>[6,1,4,8,2,7,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,6,1,5,8,4,3]=>[2,7,3,8,4,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,7,1,5,8,4,3]=>[3,7,2,8,4,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,6,7,2,5,4,8,1]=>[6,3,2,7,4,5,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,1,3,2,6,7]=>[5,1,4,8,6,7,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,5,2,3,6,4,8]=>[2,8,4,7,6,3,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,1,2,8,3,7,5]=>[5,3,8,7,1,6,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,1,3,4,7,8]=>[7,3,4,8,6,5,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [2,6,7,4,3,1,5,8]=>[7,3,2,5,6,8,4,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,3,6,7,1,5,4,8]=>[7,6,3,2,8,4,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,7,5,8,1,3,6,4]=>[7,2,4,1,8,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,1,4,7,2,3,8]=>[4,3,8,5,2,7,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,5,7,8,6,3,4]=>[8,7,4,2,1,3,6,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,8,2,3,5,7,6,4]=>[8,1,7,6,4,2,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,2,6,7,4,5,3,8]=>[8,7,3,2,5,4,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,7,8,4,6,3,5]=>[8,7,2,1,5,3,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,8,5,6,3,2,4,7]=>[8,1,4,3,6,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,6,1,5,4,8,2]=>[2,6,3,8,4,5,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,6,7,1,4,8,5]=>[6,7,3,2,8,5,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,3,2,1,8,4,6]=>[4,2,6,7,8,1,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,6,8,2,1,5,4,3]=>[2,3,1,7,8,4,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,1,6,4,7,5,2]=>[6,1,8,3,5,2,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,8,6,7,1,5,2]=>[5,6,1,3,2,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,5,6,8,1,3,7]=>[5,7,4,3,1,8,6,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,5,8,2,6,1,4,3]=>[2,4,1,7,3,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,8,7,6,3,2,4]=>[4,8,1,2,3,6,7,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,6,8,7,3,5,1,2]=>[5,3,1,2,6,4,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,8,2,7,4,1,3]=>[4,3,1,7,2,5,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,7,4,6,1,8,3]=>[4,7,2,5,3,8,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,3,1,4,5,7]=>[1,7,3,6,8,5,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,4,8,6,3,2,1,7]=>[4,5,1,3,6,7,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,2,5,6,8,4,3,1]=>[2,7,4,3,1,5,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,4,6,7,3,1,5,2]=>[1,5,3,2,6,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,6,8,3,4,1,5,2]=>[2,3,1,6,5,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,8,5,1,2,7,3]=>[5,3,1,4,8,7,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,1,8,4,6,3,7]=>[7,4,8,1,5,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,6,3,5,8,1]=>[2,7,5,3,6,4,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,3,1,7,6,4,8]=>[4,7,6,8,2,3,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,2,4,1,8,5,6]=>[6,2,7,5,8,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,4,1,8,5,2]=>[3,2,6,5,8,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,3,1,8,4,7,5]=>[7,3,6,8,1,5,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,8,7,2,1,6]=>[5,4,6,1,2,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,5,7,4,8,1,3]=>[3,7,4,2,5,1,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,7,1,2,8,4]=>[3,6,4,2,8,7,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,4,6,1,8,3,7]=>[4,7,5,3,8,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,6,1,2,7,8,3]=>[4,5,3,8,7,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,5,3,6,1,7,8,2]=>[5,4,6,3,8,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,3,1,6,7,8,4]=>[7,4,6,8,3,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,7,4,5,8,2,6]=>[6,8,2,5,4,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,2,1,7,8,6,3]=>[5,4,7,8,2,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,5,3,2,4,6,7]=>[8,1,4,6,7,5,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,6,7,3,4,2,5,8]=>[8,3,2,6,5,7,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,8,3,4,2,5,7]=>[8,3,1,6,5,7,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,7,5,3,4,2,6]=>[8,1,2,4,6,5,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,7,8,5,3,4,2,6]=>[8,2,1,4,6,5,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,8,4,2,3,5]=>[8,2,3,1,5,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,8,6,4,3,2,5]=>[8,2,1,3,5,6,7,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,4,8,5,7,1,6,3]=>[7,5,1,4,2,8,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,6,4,1,5,3]=>[2,7,1,3,5,8,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,1,7,8,4,2,3,6]=>[4,8,2,1,5,7,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,2,1,6,7,5,4]=>[6,1,7,8,3,2,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,3,1,7,5,6,4]=>[7,1,6,8,2,4,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,1,2,6,4,5]=>[6,1,2,8,7,3,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,5,6,2,1,4,7,3]=>[1,4,3,7,8,5,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,3,2,5,1,6,4]=>[2,1,6,7,4,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,4,7,8,3,5]=>[7,8,3,5,2,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,7,4,2,1,5,8]=>[3,6,2,5,7,8,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,7,8,3,4,2,1,6]=>[4,2,1,6,5,7,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,3,8,2,6,1]=>[5,2,4,6,1,7,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,2,7,1,8,5]=>[5,3,6,7,2,8,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,7,8,5,3,1]=>[7,3,5,2,1,4,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,5,1,8,4,6,7,3]=>[7,4,8,1,5,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,4,8,2,1,6,7]=>[4,6,5,1,7,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,8,4,6,7,1,3]=>[4,7,1,5,3,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,3,8,4,6,7,2]=>[8,4,6,1,5,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,5,8,3,4,2,1,7]=>[3,4,1,6,5,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,3,5,8,4,6,7,2]=>[8,6,4,1,5,3,2,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,5,8,2,1,6,7]=>[6,5,4,1,7,8,3,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [6,8,7,3,2,1,4,5]=>[3,1,2,6,7,8,5,4]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,4,8,2,7,1,5,6]=>[6,5,1,7,2,8,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,6,1,4,8,3,5]=>[2,7,3,8,5,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,1,2,4,6,3,5]=>[2,1,8,7,5,3,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,8,3,4,5,1,6]=>[2,7,1,6,5,4,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,8,3,4,2,5,7]=>[3,8,1,6,5,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,6,8,1,4,2,3,5]=>[2,3,1,8,5,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,6,2,5,8,7,4]=>[6,8,3,7,4,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,6,7,3,4,5,1]=>[7,1,3,2,6,5,4,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,6,8,3,4,5,1]=>[7,2,3,1,6,5,4,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,7,8,3,4,5,1]=>[7,3,2,1,6,5,4,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,4,3,7,8,5,6,1]=>[7,5,6,2,1,4,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,7,2,4,6,3]=>[4,8,1,2,7,5,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,1,2,7,4,6,5]=>[6,1,8,7,2,5,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,1,2,3,5,6]=>[5,1,2,8,7,6,4,3]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,3,5,2,1,8,4,7]=>[3,6,4,7,8,1,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,5,3,8,2,4,7]=>[3,8,4,6,1,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,3,6,8,5,1,7,4]=>[7,6,3,1,4,8,2,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,2,4,8,6,1,7,5]=>[6,7,5,1,3,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,3,8,4,5,7,6]=>[7,8,6,1,5,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,2,8,6,7,4,5]=>[6,8,7,1,3,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,6,3,8,7,4,5]=>[7,8,3,6,1,2,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,2,8,5,4,7,6]=>[6,8,7,1,4,5,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,3,7,8,4,6,5]=>[7,8,6,2,1,5,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,8,4,7,6,5]=>[7,8,6,1,5,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,2,8,4,5,7,6]=>[6,8,7,1,5,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,8,7,5,4,6,3]=>[8,7,1,2,4,5,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,7,2,3,8,1,5]=>[5,3,2,7,6,1,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,6,5,7,8,1,4]=>[6,7,3,4,2,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,7,5,8,6,2,4]=>[6,8,2,4,1,3,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,1,8,7,3,4,5]=>[7,3,8,1,2,6,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,1,8,6,3,4,5]=>[7,2,8,1,3,6,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,8,7,4,6,5,3]=>[7,8,1,2,5,3,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,7,1,8,3,4,6,5]=>[7,2,8,1,6,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,8,7,4,5,6,3]=>[7,8,1,2,5,4,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,7,5,2,6,4,8,1]=>[6,2,4,7,3,5,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,4,6,3,8,1]=>[4,7,2,5,3,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,5,8,4,7,3,2]=>[3,8,4,1,5,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,6,8,5,7,2,3]=>[8,5,3,1,4,2,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,3,5,7,6,4,1,2]=>[1,6,4,2,3,5,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,5,1,6,4,3,7]=>[7,1,4,8,3,5,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,7,1,8,3,6,5]=>[7,5,2,8,1,6,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,3,7,1,4,6]=>[7,4,1,6,2,8,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,5,7,1,4,8,2,3]=>[3,4,2,8,5,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,5,4,2,6,8,1]=>[6,2,4,5,7,3,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,1,2,7,6,8,5,3]=>[5,8,7,2,3,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,2,5,6,3,1,7]=>[5,1,7,4,3,6,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,5,4,2,3,8,7]=>[3,8,4,5,7,6,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,6,3,5,2,4,7]=>[1,8,3,6,4,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,2,5,3,8,1,7]=>[5,3,7,4,6,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,2,1,8,3,7]=>[5,3,4,7,8,1,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,4,3,6,7,2,1]=>[4,1,5,6,3,2,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,2,1,5,3,4,7]=>[3,1,7,8,4,6,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,3,8,6,7,4,1]=>[7,4,6,1,3,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,5,1,8,4,7]=>[6,7,3,4,8,1,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,5,8,1,6,2,3]=>[2,5,4,1,8,3,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,8,1,6,7,3,2]=>[5,4,1,8,3,2,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,8,6,7,1,2,4,5]=>[6,1,3,2,8,7,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,3,8,4,7,1,2,6]=>[4,6,1,5,2,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,4,8,1,2,6,7]=>[6,4,5,1,8,7,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,3,7,1,6,2,4,5]=>[1,6,2,8,3,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,8,7,1,3,4,5]=>[7,3,1,2,8,6,5,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,7,2,8,6,1,3,5]=>[5,2,7,1,3,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,8,7,6,1,3,5]=>[5,7,1,2,3,8,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,1,7,5,6,4,2,3]=>[1,8,2,4,3,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,6,7,4,2,1,5]=>[1,6,3,2,5,7,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,2,8,3,4,6,5]=>[8,2,7,1,6,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,6,8,1,5,4]=>[2,7,6,3,1,8,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,7,8,1,4,5]=>[7,3,6,2,1,8,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,3,8,7,2,1,5,4]=>[3,6,1,2,7,8,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,2,5,6,3,4,8,1]=>[2,7,4,3,6,5,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,8,6,3,1,5,4]=>[2,7,1,3,6,8,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,2,4,5,8,6,3,1]=>[2,7,5,4,1,3,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,3,8,4,7,2,5,1]=>[3,6,1,5,2,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,3,6,8,5,4,1]=>[2,7,6,3,1,4,5,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,4,5,2,8,1,6,3]=>[2,5,4,7,1,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,3,6,8,4,5,1]=>[2,7,6,3,1,5,4,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,3,6,1,4,5]=>[2,7,1,6,3,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,6,7,4,5,2,8]=>[6,8,3,2,5,4,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,4,7,6,2,8]=>[6,8,4,5,2,3,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,6,8,2,4,5,1]=>[2,6,3,1,7,5,4,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,3,2,4,6,8,7]=>[4,8,6,7,5,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,7,8,4,2,3,6,1]=>[4,2,1,5,7,6,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,4,5,2,8,3,7,1]=>[3,5,4,7,1,6,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,5,3,8,1,2,7]=>[3,5,4,6,1,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,4,8,3,1,2,7]=>[4,3,5,1,6,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,4,7,5,2,8,1]=>[3,6,5,2,4,7,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,2,6,5,3,8,1]=>[5,2,7,3,4,6,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,4,6,3,8,5,1]=>[2,7,5,3,6,1,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,3,7,6,2,5,4]=>[1,8,6,2,3,7,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,3,7,6,1,5,4]=>[7,1,6,2,3,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,3,5,8,6,4,1]=>[2,7,6,4,1,3,5,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,6,5,3,8,1,7,2]=>[5,3,4,6,1,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,8,1,7,5,2]=>[3,6,5,1,8,2,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,8,4,6,5,1]=>[2,7,6,1,5,3,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,8,7,6,1,5,3]=>[7,5,1,2,3,8,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,8,1,7,4,6,5,2]=>[6,1,8,2,5,3,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,6,5,1,4,3,7]=>[1,7,3,4,8,5,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,5,2,7,6,3,1]=>[5,1,4,7,2,3,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,8,6,2,7,1,3,4]=>[4,1,3,7,2,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,8,5,6,4,1,3]=>[2,7,1,4,3,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,2,7,4,1,6,5]=>[6,1,7,2,5,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,6,5,7,1,3,4]=>[7,1,3,4,2,8,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,8,6,2,5,7,3]=>[8,5,1,3,7,4,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,8,4,7,2,1,6,5]=>[6,1,5,2,7,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,7,2,4,1,3,5]=>[3,1,2,7,5,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,8,6,2,5,1,7]=>[6,5,1,3,7,4,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,3,8,6,2,5,4,1]=>[2,6,1,3,7,4,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,3,8,1,6,4,7,2]=>[4,6,1,8,3,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,5,1,7,6,3,2]=>[5,1,4,8,2,3,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,8,1,7,6,2,3,4]=>[4,1,8,2,3,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,8,5,6,4,7,2]=>[6,8,1,4,3,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,8,6,4,5,1,7]=>[7,6,1,3,5,4,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,5,2,6,8,3,4]=>[8,2,4,7,3,1,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,6,1,2,4,3,5]=>[2,1,3,8,7,5,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,6,1,3,8,7,2]=>[5,4,3,8,6,1,2,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,7,8,6,5,1,4]=>[7,6,2,1,3,4,8,5]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,7,4,8,2,6,3,5]=>[8,2,5,1,7,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,2,4,6,3,8]=>[4,8,2,7,5,3,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,2,1,3,4,7,5]=>[3,1,7,8,6,5,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,4,8,3,6,5,1,2]=>[2,5,1,6,3,4,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,8,5,1,7,2,3]=>[3,5,1,4,8,2,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,8,1,3,6,7,4]=>[4,7,1,8,6,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,6,8,5,7,1,3]=>[5,7,3,1,4,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,3,2,1,7,5,4]=>[3,1,6,7,8,2,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,1,8,6,2,4,7,3]=>[4,8,1,3,7,5,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,5,8,2,6,4,3,7]=>[8,4,1,7,3,5,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,6,2,4,7,8,1]=>[6,4,3,7,5,2,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,5,7,6,8,2,4,1]=>[6,4,2,3,1,7,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,2,6,8,4,1]=>[6,4,2,7,3,1,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,2,7,6,8,4,1]=>[6,4,7,2,3,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,7,4,2,6,8,1]=>[6,4,2,5,7,3,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,5,7,2,6,8,1]=>[6,5,4,2,7,3,1,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,5,7,2,8,6,1]=>[6,5,4,2,7,1,3,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,4,7,2,8,6,1]=>[6,4,5,2,7,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,5,7,4,8,6,1]=>[6,7,4,2,5,1,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,7,8,4,2,6,1]=>[6,4,2,1,5,7,3,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,5,7,8,4,6,1]=>[7,6,4,2,1,5,3,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,5,2,7,8,6,4,1]=>[6,4,7,2,1,3,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,7,8,2,6,4,1]=>[6,4,2,1,7,3,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,7,8,6,2,4,1]=>[6,4,2,1,3,7,5,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,2,5,6,7,3,8,1]=>[5,7,4,3,2,6,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,4,3,5,2,7]=>[3,8,1,5,6,4,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,6,4,8,2,3,7]=>[4,8,3,5,1,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,4,2,5,3,6,7]=>[1,8,5,7,4,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,8,4,1,5,3,6,7]=>[7,1,5,8,4,6,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,8,3,5,2,6,7]=>[5,8,1,6,4,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,8,2,5,4,6,7]=>[6,8,1,7,4,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,5,1,8,7,6,3]=>[5,7,4,8,1,2,3,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,2,4,8,1,7,6,3]=>[4,7,5,1,8,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,8,6,7,2,5,3]=>[8,5,1,3,2,7,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,7,3,8,2,6]=>[8,5,4,2,6,1,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,8,1,2,5,3,7]=>[5,3,1,8,7,4,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,5,6,8,2,1,4,7]=>[6,4,3,1,7,8,5,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [8,2,5,4,1,3,7,6]=>[1,7,4,5,8,6,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,4,5,8,6,3,1,7]=>[7,5,4,1,3,6,8,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,4,8,2,3,1,7,6]=>[4,5,1,7,6,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,5,8,2,3,1,6]=>[5,2,4,1,7,6,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,7,5,1,8,3,2]=>[5,3,2,4,8,1,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,3,6,5,8,2,4]=>[8,2,6,3,4,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,2,6,7,1,5]=>[1,6,5,7,3,2,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,7,5,2,8,3,1]=>[5,3,2,4,7,1,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,8,7,2,4,3,1,6]=>[4,1,2,7,5,6,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,2,8,6,7,3,4]=>[4,8,7,1,3,2,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,7,8,6,1,4,3]=>[7,4,2,1,3,8,5,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,2,6,8,4,5,1,3]=>[2,7,3,1,5,4,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,6,8,2,3,4]=>[4,8,2,3,1,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,7,1,6,8,2,3]=>[4,5,2,8,3,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,7,2,1,5,3,8]=>[5,3,2,7,8,4,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,7,6,2,4,3,8,5]=>[8,2,3,7,5,6,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,2,4,5,3,8]=>[2,8,3,7,5,4,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,7,2,1,5,4,8]=>[6,3,2,7,8,4,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,1,6,2,3,4,8]=>[4,2,8,3,7,6,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,6,7,1,5,2,8]=>[5,6,3,2,8,4,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,7,4,5,1,8]=>[7,6,3,2,5,4,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,2,5,6,3,1,4,7]=>[1,7,4,3,6,8,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,5,8,3,4,1,7]=>[3,7,4,1,6,5,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,8,7,1,3,2,4]=>[4,3,1,2,8,6,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,8,6,5,1,4,7]=>[7,6,1,3,4,8,5,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,5,3,4,8,2,6,7]=>[8,4,6,5,1,7,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,1,3,4,2,5,6,7]=>[1,8,6,5,7,4,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,8,6,5,7,4,3,1]=>[7,1,3,4,2,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,5,8,3,4,2,1,6]=>[2,4,1,6,5,7,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,3,7,2,4,1,8,6]=>[4,6,2,7,5,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,2,8,6,3,7,4]=>[4,8,7,1,3,6,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,5,7,2,4,3,8]=>[3,8,4,2,7,5,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,2,6,5,7,3]=>[5,8,1,7,3,4,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,4,7,8,5,3,2]=>[3,8,5,2,1,4,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,6,8,3,7,4,2,1]=>[4,3,1,6,2,5,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,1,5,7,2,8,3]=>[5,3,8,4,2,7,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,4,6,3,7,1]=>[7,4,1,5,3,6,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,6,7,5,2,1]=>[5,1,6,3,2,4,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,3,7,1,2,6,8,5]=>[5,6,2,8,7,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,6,5,2,7,4,3]=>[1,8,3,4,7,2,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,8,1,5,2,7,4,3]=>[3,1,8,4,7,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,6,2,8,3,7,1]=>[5,4,3,7,1,6,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,2,3,7,6,1]=>[5,4,1,7,6,2,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,2,1,3,8,4,7]=>[4,3,7,8,6,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,4,8,2,5,3,6]=>[2,8,5,1,7,4,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,7,2,5,8,1]=>[3,6,5,2,7,4,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,8,6,7,2,4,1]=>[6,4,1,3,2,7,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,8,3,7,4,1]=>[7,4,3,1,6,2,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,7,8,2,3,1,5,4]=>[3,2,1,7,6,8,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,7,5,1,8,2]=>[3,6,5,2,4,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,8,6,7,1,4,3]=>[4,7,1,3,2,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,2,7,4,8,3,1]=>[4,3,7,2,5,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,3,2,4,8,6,5]=>[8,2,6,7,5,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,1,3,2,5,7,6]=>[5,1,8,6,7,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,5,3,8,6,2,4]=>[8,2,4,6,1,3,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,8,1,4,7,6]=>[7,4,6,1,8,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,8,1,3,7,6]=>[5,7,4,1,8,6,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,2,4,3,5,7,6]=>[1,8,7,5,6,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,8,1,5,7,6]=>[7,5,6,1,8,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,3,8,5,1,6,4]=>[7,2,6,1,4,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,2,6,5,4,7]=>[6,8,1,7,3,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,8,4,1,5,7,6]=>[7,6,1,5,8,4,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,2,3,4,1,5,7,6]=>[1,7,6,5,8,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,6,2,4,8,3,5]=>[2,8,3,7,5,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,5,8,1,3,2,4,7]=>[3,4,1,8,6,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,1,8,5,3,4,6,7]=>[7,8,1,4,6,5,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,8,6,3,1,5,4,7]=>[7,1,3,6,8,4,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,2,8,4,1,6,3]=>[4,2,7,1,5,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,6,3,8,1,4,7]=>[7,4,3,6,1,8,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,5,6,8,1,3,2]=>[2,5,4,3,1,8,6,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,6,8,1,4,5,3,2]=>[2,3,1,8,5,4,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,2,5,3,6,4,8,1]=>[2,7,4,6,3,5,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,5,8,1,6,7,2]=>[5,6,4,1,8,3,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,8,5,6,4,3,2]=>[8,2,1,4,3,5,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,1,3,5,8,4,6]=>[7,2,8,6,4,1,5,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,8,6,4,5,3,7]=>[7,8,1,3,5,4,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,1,7,4,5,3,6]=>[7,1,8,2,5,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,8,6,5,1,4,3]=>[7,2,1,3,4,8,5,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,4,5,8,6,1,7,3]=>[7,5,4,1,3,8,2,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,2,6,4,8,5,3,7]=>[8,7,3,5,1,4,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,1,5,7,4,3,2]=>[3,1,8,4,2,5,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,7,8,1,6,4,3,2]=>[4,2,1,8,3,5,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,1,2,4,8,5,3,6]=>[2,8,7,5,1,4,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,6,4,3,7,2]=>[8,1,4,3,5,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,8,4,5,1,7,3]=>[7,3,1,5,4,8,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,7,8,1,3,2]=>[5,3,4,2,1,8,6,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,6,4,7,1,3]=>[7,4,1,3,5,2,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,8,1,7,2,3,6,4]=>[4,1,8,2,7,6,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,6,4,2,1,8,7]=>[4,6,3,5,7,8,1,2]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,7,4,5,8,2,6,1]=>[6,2,5,4,1,7,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,5,7,4,1,8,3,2]=>[3,4,2,5,8,1,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,7,4,5,2,8,3]=>[3,8,2,5,4,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,5,7,8,3,6,2]=>[5,8,4,2,1,6,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,3,6,7,1,4,5,2]=>[1,6,3,2,8,5,4,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,8,3,5,2,1,4,6]=>[2,1,6,4,7,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,8,6,4,2,7,1]=>[4,6,1,3,5,7,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,6,5,3,8,4,7,2]=>[8,3,4,6,1,5,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,4,8,7,2,6]=>[4,8,6,5,1,2,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,4,8,7,2,6]=>[8,4,6,5,1,2,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,8,1,4,7,6,2]=>[4,6,1,8,5,2,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,3,5,8,1,7,6,2]=>[5,6,4,1,8,2,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,5,4,8,2,7,1]=>[6,3,4,5,1,7,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,2,4,8,7,6,1]=>[6,4,7,5,1,2,3,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,4,6,1,5,7,8,3]=>[7,5,3,8,4,2,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,3,1,5,7,8,4]=>[7,3,6,8,4,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,5,3,6,4,1,8,7]=>[7,4,6,3,5,8,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,2,5,1,7,8,3]=>[5,3,7,4,8,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,5,3,1,7,8,4]=>[3,7,4,6,8,2,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,6,3,1,7,5,8,4]=>[7,3,6,8,2,4,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,1,7,6,4,8]=>[7,6,4,8,2,3,5,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,1,7,4,8,6,5]=>[7,6,8,2,5,1,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,3,1,8,6,4,7]=>[4,7,6,8,1,3,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,6,4,1,5,7,8]=>[7,6,3,5,8,4,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [4,7,5,1,3,2,8,6]=>[5,2,4,8,6,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,3,7,4,1,5]=>[7,1,3,6,2,5,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,8,7,6,4,1,5]=>[7,6,1,2,3,5,8,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,3,7,6,4,1,5,8]=>[7,6,2,3,5,8,4,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,7,6,3,8,4,1,5]=>[7,2,3,6,1,5,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,8,3,1,6,5,4]=>[7,2,1,6,8,3,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,2,3,1,6,5,4,8]=>[2,7,6,8,3,4,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,3,5,2,7,8,4]=>[3,8,6,4,7,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,3,5,4,6,2,7]=>[8,1,6,4,5,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,1,6,4,8,7,5]=>[7,6,8,3,5,1,2,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,3,6,4,2,7,5]=>[8,1,6,3,5,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,1,7,5,4,6,8]=>[7,6,8,2,4,5,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,7,4,1,5,6,8]=>[7,6,2,5,8,4,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,7,3,8,4,1,5,6]=>[7,2,6,1,5,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,3,1,4,7,6,5]=>[1,7,6,8,5,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,6,4,3,2,5,7]=>[1,8,3,5,6,7,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,1,7,3,2,5,4,6]=>[1,8,2,6,7,4,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,6,2,5,4,3,7]=>[1,8,3,7,4,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,8,5,2,6,4,3,1]=>[2,1,4,7,3,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,2,7,5,1,3,6,8]=>[5,7,2,4,8,6,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,2,8,1,3,6,7,5]=>[5,7,1,8,6,3,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,3,6,4,2,5,8]=>[2,8,6,3,5,7,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,2,5,7,4,6,3]=>[1,8,7,4,2,5,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,4,6,3,5,8,2]=>[8,2,5,3,6,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,3,6,2,5,8,4]=>[2,8,6,3,7,4,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,7,1,4,8,3,6]=>[4,7,2,8,5,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,7,3,6,1,4,8]=>[4,7,2,6,3,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,4,6,3,1,2,5,8]=>[2,5,3,6,8,7,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,4,6,1,2,5,8,3]=>[2,5,3,8,7,4,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,1,3,8,2,5,7,4]=>[3,8,6,1,7,4,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,3,6,1,4,8]=>[2,7,4,6,3,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,5,3,6,1,4,7]=>[1,7,4,6,3,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,4,7,1,2,5,8,3]=>[3,5,2,8,7,4,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,4,8,1,2,5,7,3]=>[3,5,1,8,7,4,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,7,3,1,6,2,4,8]=>[4,2,6,8,3,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,8,3,6,5,1,2]=>[5,2,1,6,3,4,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,4,8,3,7,1,6]=>[4,7,5,1,6,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,8,4,7,1,2,6]=>[6,4,1,5,2,8,7,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,7,8,3,2,5,1]=>[5,3,2,1,6,7,4,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,7,5,1,4,6,2,8]=>[6,2,4,8,5,3,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,5,2,3,1,6,4]=>[2,1,4,7,6,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,3,1,4,8,6]=>[4,7,2,6,8,5,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,5,3,7,6,1,4]=>[1,7,4,6,2,3,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,2,4,7,8,3,5]=>[3,8,7,5,2,1,6,4]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,4,6,5,7,1,8,3]=>[7,5,3,4,2,8,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,7,5,2,3,8,1]=>[5,3,2,4,7,6,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,7,4,5,3,8,1]=>[7,3,2,5,4,6,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,4,7,5,8,3,1]=>[7,3,5,2,4,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,2,7,5,3,8,1]=>[5,3,7,2,4,6,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,4,2,5,3,8,1]=>[3,2,5,7,4,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,6,7,8,5,3,1]=>[5,7,3,2,1,4,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,7,4,5,8,3,1]=>[3,7,2,5,4,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,4,7,8,5,3,1]=>[3,7,5,2,1,4,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,7,4,5,2,8,3,1]=>[3,2,5,4,7,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,3,6,4,8,2,7]=>[8,4,6,3,5,1,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,1,7,8,6,4]=>[6,4,7,8,2,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,1,8,7,5,6,2]=>[6,5,8,1,2,4,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,8,6,5,1,3]=>[5,7,2,1,3,4,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,2,7,8,6,4,5,3]=>[8,7,2,1,3,5,4,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,1,8,6,5,2,4,7]=>[6,8,1,3,4,7,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,8,1,2,6,5,3,7]=>[5,1,8,7,3,4,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,5,1,2,4,3,7]=>[3,1,4,8,7,5,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,6,2,8,3,5]=>[5,2,8,3,7,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,5,2,3,6,7,4]=>[1,8,4,7,6,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,6,7,1,3,2,4,5]=>[1,3,2,8,6,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,6,3,2,4,8,5]=>[2,8,3,6,7,5,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,8,7,1,3,4,5]=>[3,7,1,2,8,6,5,4]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,4,8,1,2,3,7,5]=>[3,5,1,8,7,6,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,6,7,1,2,3,5,4]=>[1,3,2,8,7,6,4,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,7,1,2,3,8,5,4]=>[3,2,8,7,6,1,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,8,5,1,2,3,6,4]=>[2,1,4,8,7,6,3,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,1,7,5,2,3,6,4]=>[1,8,2,4,7,6,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,6,1,8,3,7,2]=>[4,5,3,8,1,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,8,3,2,6,5,4]=>[2,8,1,6,7,3,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,2,4,8,3,7,5,6]=>[8,7,5,1,6,2,4,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,3,4,2,5,1,8,6]=>[2,6,5,7,4,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,5,1,6,4,3,8]=>[2,7,4,8,3,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,7,1,4,6,3,8]=>[4,7,2,8,5,3,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,8,5,7,1,4,2]=>[3,6,1,4,2,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,3,1,4,6,5,7]=>[7,1,6,8,5,3,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,7,3,1,4,2,8]=>[4,3,2,6,8,5,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,7,6,1,3,8,2]=>[5,4,2,3,8,6,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,7,5,1,3,2,8]=>[5,3,2,4,8,6,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,5,8,1,4,7,3,2]=>[3,4,1,8,5,2,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,8,7,2,3,1,4,6]=>[4,1,2,7,6,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,8,1,5,3,6,2]=>[5,2,1,8,4,6,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,2,7,4,1,8]=>[6,3,4,7,2,5,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,4,7,6,1,2]=>[6,1,4,5,2,3,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,6,8,7,3,5,2]=>[8,5,3,1,2,6,4,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,5,1,3,8,7,2]=>[5,3,4,8,6,1,2,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,6,2,1,8,7,3]=>[4,5,3,7,8,1,2,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,2,8,5,1,4,6,7]=>[6,7,1,4,8,5,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,5,4,1,2,8,6,7]=>[6,4,5,8,7,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,8,1,4,2,6,7]=>[4,6,1,8,5,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,8,1,4,2,7,6]=>[4,6,1,8,5,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,7,5,8,6,2,3]=>[8,5,2,4,1,3,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,5,7,6,3,4,1,2]=>[1,4,2,3,6,5,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,5,1,8,3,7,6]=>[7,5,4,8,1,6,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,5,3,4,1,6]=>[2,7,1,4,6,5,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,5,3,1,7,8,2]=>[3,5,4,6,8,2,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,5,6,4,1,8,2]=>[2,6,4,3,5,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,5,6,7,4,2]=>[6,8,1,4,3,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,7,6,2,3,4,8]=>[4,8,2,3,7,6,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,2,7,6,4,1,8,3]=>[4,7,2,3,5,8,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,6,5,7,8,4,1,2]=>[6,3,4,2,1,5,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,5,8,1,7,6]=>[7,5,6,4,1,8,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,7,6,1,5,8,4]=>[6,7,2,3,8,4,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,4,7,6,8,1,5,3]=>[7,5,2,3,1,8,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,7,6,4,5,3,8]=>[7,8,2,3,5,4,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,7,6,8,5,2,3]=>[8,5,2,3,1,4,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,6,3,4,1,8,7]=>[7,4,3,6,5,8,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,2,1,5,8,3,7]=>[5,3,7,8,4,1,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,7,2,3,8,5,1]=>[5,3,2,7,6,1,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,3,6,8,7,1,5,4]=>[7,6,3,1,2,8,4,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,5,8,7,4,1,6]=>[7,6,4,1,2,5,8,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,3,5,8,7,4,6,1]=>[7,6,4,1,2,5,3,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,7,8,6,4,1,5]=>[7,6,2,1,3,5,8,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [5,6,4,1,8,3,7,2]=>[4,3,5,8,1,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,1,8,6,2,3]=>[4,2,5,8,1,3,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,3,7,8,1,2,6]=>[5,4,6,2,1,8,7,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,3,5,8,1,7,4,6]=>[7,6,4,1,8,2,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,5,8,1,6,4,7]=>[7,6,4,1,8,3,5,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,8,7,3,6,4,2]=>[8,4,1,2,6,3,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,5,4,7,1,3,8]=>[3,7,4,5,2,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,8,4,5,7,3,6,2]=>[8,1,5,4,2,6,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,5,8,7,2,3]=>[8,3,5,4,1,2,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,5,8,3,6,2]=>[8,2,5,4,1,6,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,6,1,8,5,2,4]=>[2,6,3,8,1,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,6,8,7,4,1,5]=>[7,6,3,1,2,5,8,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [2,5,8,1,3,6,7,4]=>[7,4,1,8,6,3,2,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,2,6,1,5,7,3]=>[5,1,7,3,8,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,3,1,4,7,6,8]=>[7,4,6,8,5,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,7,8,3,4,1,6]=>[7,4,2,1,6,5,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,3,7,4,1,5,8,6]=>[7,6,2,5,8,4,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,3,7,8,1,5,4,6]=>[7,6,2,1,8,4,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,8,1,3,7,4,6]=>[7,4,1,8,6,2,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,1,4,6,8,7]=>[7,4,6,8,5,3,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,5,6,3,4,1,7]=>[7,1,4,3,6,5,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,8,6,3,5,1,7]=>[5,7,1,3,6,4,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,4,1,2,5,6,3]=>[2,1,5,8,7,4,3,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,6,1,4,5,2,7]=>[6,1,3,8,5,4,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,8,1,4,5,2]=>[3,2,6,1,8,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,8,4,1,2,5,3]=>[3,2,1,5,8,7,4,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,6,8,4,3,1,5,7]=>[7,3,1,5,6,8,4,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [8,4,5,1,6,3,2,7]=>[1,5,4,8,3,6,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,3,1,6,8,4,7]=>[7,4,6,8,3,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,8,5,1,4,6,2]=>[6,2,1,4,8,5,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,6,7,1,8,4,3]=>[7,4,3,2,8,1,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,3,7,4,8,5,6,1]=>[7,6,2,5,1,4,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,8,5,4,6,1]=>[7,6,2,1,4,5,3,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,8,6,1,2,5,3,7]=>[5,1,3,8,7,4,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,8,6,1,5,2,7]=>[6,5,1,3,8,4,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,5,8,1,2,3,6,4]=>[2,4,1,8,7,6,3,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,2,8,7,4,6,5,3]=>[8,7,1,2,5,3,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,1,4,8,7,3,6,2]=>[4,8,5,1,2,6,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,7,6,2,4,8,5]=>[8,6,2,3,7,5,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,8,2,7,4,6,5]=>[8,6,1,7,2,5,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,7,1,6,4,3,5]=>[1,7,2,8,3,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,5,3,2,4,8,7]=>[8,3,4,6,7,5,1,2]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,3,7,2,5,1,6,8]=>[5,6,2,7,4,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,4,3,2,6,8,7]=>[4,8,5,6,7,3,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,1,4,5,2,7,6]=>[6,1,8,5,4,7,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,8,7,5,2,3,4]=>[8,3,1,2,4,7,6,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,5,3,4,8,7,1,6]=>[7,4,6,5,1,2,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,7,8,4,5,2]=>[8,3,6,2,1,5,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,1,8,5,2,7]=>[5,6,3,8,1,4,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,8,7,3,6,2,5]=>[8,5,1,2,6,3,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,8,6,2,5,3,7]=>[8,5,1,3,7,4,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,5,7,6,3,1,8,2]=>[5,4,2,3,6,8,1,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,7,5,1,3,8,2]=>[5,3,2,4,8,6,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,6,5,1,4,7,8,2]=>[6,3,4,8,5,2,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,7,3,1,5,8,2]=>[5,3,2,6,8,4,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,1,6,7,4,3]=>[7,4,1,8,3,2,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,4,7,5,3,1,8]=>[3,7,5,2,4,6,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,5,1,8,7,3,4]=>[3,7,4,8,1,2,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,6,1,5,8,7,4]=>[6,7,3,8,4,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,8,7,6,4,2,3]=>[4,8,1,2,3,5,7,6]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [7,1,4,5,3,8,2,6]=>[2,8,5,4,6,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,4,8,3,7,2,5]=>[3,8,5,1,6,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,8,6,2,1,7]=>[5,4,6,1,3,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,4,2,8,5,1,7]=>[6,3,5,7,1,4,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,3,1,8,4,7]=>[7,3,4,6,8,1,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,2,3,6,7,5,1,8]=>[5,7,6,3,2,4,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,5,7,4,1,8]=>[3,7,6,4,2,5,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,4,6,3,5,1,8]=>[2,7,5,3,6,4,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,3,8,6,2,4,7]=>[8,4,6,1,3,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,2,4,7,5,3,6]=>[1,8,7,5,2,4,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,8,2,4,7,3,6]=>[4,8,1,7,5,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,3,8,4,7,2,5]=>[8,3,6,1,5,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,8,3,5,2,4,7]=>[3,8,1,6,4,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,5,2,4,7,3,6]=>[1,8,4,7,5,2,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,5,7,1,4,2,3,6]=>[1,4,2,8,5,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,5,8,1,4,2,3,6]=>[2,4,1,8,5,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,3,8,6,2,4,7]=>[4,8,6,1,3,7,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,4,8,5,1,3,6]=>[2,7,5,1,4,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,3,8,4,7,2,5]=>[3,8,6,1,5,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,4,7,5,1,3,6]=>[1,7,5,2,4,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,4,8,5,6,2,7]=>[8,6,5,1,4,3,7,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,2,3,5,1,7,4,6]=>[1,7,6,4,8,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,5,4,7,1,6]=>[7,1,6,4,5,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,6,1,5,2,7,4]=>[1,6,3,8,4,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,4,8,1,6,3,5]=>[2,7,5,1,8,3,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,5,6,1,7,2,8]=>[5,6,4,3,8,2,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,1,8,6,5,4]=>[6,7,2,8,1,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,8,1,4,6,5,7,3]=>[7,1,8,5,3,4,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,7,4,5,3,8]=>[3,8,7,2,5,4,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,2,3,8,5,6,4]=>[8,2,7,6,1,4,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,5,6,7,2,4]=>[8,6,1,4,3,2,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,4,5,6,1,3,8]=>[7,2,5,4,3,8,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,2,4,1,5,7,8,3]=>[3,7,5,8,4,2,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,1,4,6,7,5,2,8]=>[6,8,5,3,2,4,7,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,2,5,7,8,6,3]=>[8,5,7,4,2,1,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,6,5,3,1,8,4]=>[2,7,3,4,6,8,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,8,7,1,5,4,6,3]=>[7,1,2,8,4,5,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,1,3,5,6,4]=>[2,7,1,8,6,4,3,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,2,3,1,8,7,6,4]=>[4,7,6,8,1,2,3,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,1,7,3,5,2,4,8]=>[3,8,2,6,4,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,7,6,4,3,5,8,1]=>[7,2,3,5,6,4,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,2,5,3,4,8,1]=>[3,2,7,4,6,5,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,4,1,3,6,7,2]=>[4,1,5,8,6,3,2,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,8,5,3,7,6,4,2]=>[8,1,4,6,2,3,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,7,2,3,8,1,4,5]=>[3,2,7,6,1,8,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,2,5,3,7,1,4,6]=>[1,7,4,6,2,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,7,4,8,1,5,6]=>[6,7,2,5,1,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,8,5,6,4,7,1,3]=>[7,1,4,3,5,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,8,7,4,6,2]=>[6,8,4,1,2,5,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,8,1,7,4,6,3]=>[4,7,1,8,2,5,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,5,3,8,6,4,7,2]=>[8,4,6,1,3,5,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,5,6,2,1,8,3]=>[5,2,4,3,7,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,3,4,6,2,7,5]=>[1,8,6,5,3,7,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,5,6,2,8,7,4]=>[8,6,4,3,7,1,2,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [2,5,4,7,3,1,8,6]=>[7,4,5,2,6,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,6,8,3,1,2,5]=>[2,5,3,1,6,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,6,3,4,2,8,7]=>[8,4,3,6,5,7,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,3,5,2,7,8]=>[3,8,5,6,4,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,5,3,6,7,2,8]=>[5,8,4,6,3,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,4,7,3,1,6,8]=>[4,7,5,2,6,8,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,6,2,1,7,3,8]=>[4,5,3,7,8,2,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,5,4,2,3,7,8]=>[8,3,4,5,7,6,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,5,6,2,7,4,1,3]=>[1,4,3,7,2,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,5,1,2,8,7,3]=>[3,5,4,8,7,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,3,5,2,1,4,7]=>[3,1,6,4,7,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,4,7,8,5,1,2]=>[3,6,5,2,1,4,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,1,4,2,6,7,3]=>[4,1,8,5,7,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,8,4,6,5,1,7]=>[7,6,1,5,3,4,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,3,4,8,6,2,1]=>[4,2,6,5,1,3,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,4,3,8,6,2,5]=>[2,8,5,6,1,3,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,5,4,3,1,7,6]=>[1,7,4,5,6,8,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,2,4,5,6,1,7,3]=>[1,7,5,4,3,8,2,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,6,5,7,3,1,4]=>[1,7,3,4,2,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,7,1,6,8,4,5]=>[7,6,2,8,3,1,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,4,5,3,7,1,6]=>[1,7,5,4,6,2,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,4,3,5,6,1,7]=>[1,7,5,6,4,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,7,3,1,2,4,6]=>[4,1,2,6,8,7,5,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,7,8,1,4,5,3,6]=>[7,2,1,8,5,4,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,8,7,3,6,5]=>[5,8,7,1,2,6,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,2,4,3,8,7,5]=>[3,8,7,5,6,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,8,1,2,4,6,5]=>[6,2,1,8,7,5,3,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,4,1,2,6,8,5]=>[2,6,5,8,7,3,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,2,6,1,3,5,4,7]=>[1,7,3,8,6,4,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,4,5,1,7,3,6]=>[1,7,5,4,8,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,4,5,1,7,3]=>[3,1,7,5,4,8,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,3,4,7,2,6,5,1]=>[1,6,5,2,7,3,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,3,7,6,4,5,2]=>[1,8,6,2,3,5,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,7,1,4,5,6,2]=>[1,6,2,8,5,4,3,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,3,7,6,2,4,5,1]=>[1,6,2,3,7,5,4,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,7,1,3,4,6,5]=>[1,7,2,8,6,5,3,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,2,4,7,3,1,6,5]=>[1,7,5,2,6,8,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,7,6,3,1,4,5]=>[1,7,2,3,6,8,5,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,1,4,7,3,2,5]=>[3,1,8,5,2,6,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,5,7,2,6,3,1,4]=>[1,4,2,7,3,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,2,7,3,1,6,4]=>[4,1,7,2,6,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,2,6,7,5,4,3]=>[1,8,7,3,2,4,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,2,4,7,6,5,1,3]=>[1,7,5,2,3,4,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,7,6,4,5,1,3]=>[1,7,2,3,5,4,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,7,2,3,6,5,1]=>[1,5,2,7,6,3,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,4,7,3,6,5,1]=>[1,7,5,2,6,3,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,7,6,4,5,2,3]=>[1,8,2,3,5,4,7,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,2,7,6,4,5,3]=>[1,8,7,2,3,5,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,4,7,3,6,5,2]=>[1,8,5,2,6,3,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,1,8,7,3,6,4]=>[7,4,8,1,2,6,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,5,3,7,6,4]=>[7,1,8,4,6,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,2,4,7,5,6,3]=>[8,1,7,5,2,4,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,8,4,7,5,6,2]=>[8,6,1,5,2,4,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,1,7,5,6,4]=>[7,6,1,8,2,4,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,4,7,1,6,5]=>[7,6,1,5,2,8,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,2,3,5,6,4,7]=>[8,1,7,6,4,3,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,6,7,4,2,3,5,8]=>[8,3,2,5,7,6,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,7,2,3,5,6,4,8]=>[8,2,7,6,4,3,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,5,2,3,7,6,4,8]=>[8,4,7,6,2,3,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,6,2,3,5,4,7]=>[8,1,3,7,6,4,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,3,7,6,4,5]=>[8,1,7,6,2,3,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,3,5,4,7,6]=>[8,1,7,6,4,5,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,8,6,2,5,4]=>[8,2,6,1,3,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,8,6,2,1,5,4]=>[2,6,1,3,7,8,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,3,6,8,5,4,7]=>[7,8,6,3,1,4,5,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,2,7,3,1,4,6]=>[4,1,7,2,6,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,3,8,4,7,2,6]=>[4,8,6,1,5,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,3,7,4,1,6]=>[4,1,7,6,2,5,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,3,7,6,1,5]=>[5,7,1,6,2,3,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,2,4,7,6,3,5]=>[1,8,7,5,2,3,6,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,3,6,7,5,2,1,4]=>[1,6,3,2,4,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,6,1,8,2,5,7]=>[5,6,3,8,1,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,7,4,6,2,1,5]=>[6,1,2,5,3,7,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,8,7,4,6,2,5]=>[6,8,1,2,5,3,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,8,3,7,2,5,6]=>[8,5,1,6,2,7,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,3,2,5,6,8,4]=>[8,2,6,7,4,3,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,3,1,4,6,2,7]=>[4,1,6,8,5,3,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,7,1,2,8,6,5]=>[5,6,2,8,7,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,7,5,1,3,8,6]=>[5,7,2,4,8,6,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,1,6,7,3,5,8,4]=>[7,8,3,2,6,4,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,7,8,5,2,4,6]=>[6,8,2,1,4,7,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,4,1,3,8,2,6]=>[4,2,5,8,6,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,1,3,6,7,2,5,4]=>[1,8,6,3,2,7,4,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,8,6,7,1,4]=>[7,4,6,1,3,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,4,3,7,5,2,6]=>[8,1,5,6,2,4,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,6,8,4,3,2,7]=>[8,4,3,1,5,6,7,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,5,8,7,1,3,2,6]=>[5,4,1,2,8,6,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,4,7,8,3,2,6]=>[8,4,5,2,1,6,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,1,3,6,5,2,8]=>[5,2,8,6,3,4,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,8,2,7,5,3]=>[5,3,8,1,7,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,8,1,5,6,2,7]=>[6,5,1,8,4,3,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,5,2,8,4,7,1]=>[3,6,4,7,1,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,3,5,2,8,4,7]=>[8,3,6,4,7,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,8,6,3,7,2,1]=>[4,5,1,3,6,2,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,5,8,1,3,7,2]=>[3,5,4,1,8,6,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,1,8,4,7,2]=>[3,6,4,8,1,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,3,1,5,8,4,7]=>[7,3,6,8,4,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,4,8,6,3,1,7]=>[7,4,5,1,3,6,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,4,8,6,3,7,1]=>[7,4,5,1,3,6,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,5,4,8,6,3,7]=>[8,7,4,5,1,3,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,8,2,1,7,3]=>[3,5,4,1,7,8,2,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,4,1,2,6,8,7]=>[4,6,5,8,7,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,4,3,5,2,8,6,7]=>[8,5,6,4,7,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,8,2,6,1,7]=>[6,4,5,1,7,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,4,5,1,2,8,7]=>[6,3,5,4,8,7,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,8,5,6,1,2,7]=>[6,5,1,4,3,8,7,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,4,8,1,6,7,2]=>[6,4,5,1,8,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,3,1,5,8,6,7]=>[7,5,6,8,4,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,6,2,5,4,8,3]=>[8,2,3,7,4,5,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,1,7,4,3,8,2]=>[4,3,8,2,5,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,2,1,5,6,8,4]=>[6,2,7,8,4,3,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,1,7,2,5,4,6]=>[6,1,8,2,7,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,1,2,7,5,6]=>[6,1,5,8,7,2,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,5,2,4,3,8]=>[3,2,8,4,7,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,1,6,5,7,3]=>[5,1,7,8,3,4,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,4,1,5,7,6,3]=>[1,7,5,8,4,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,5,4,6,2,7,8]=>[6,8,4,5,3,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,4,1,6,5,7,2]=>[1,6,5,8,3,4,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,6,4,3,5,2,7]=>[1,8,3,5,6,4,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,7,8,2,6,4,5]=>[8,6,2,1,7,3,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,6,2,8,3,7,4]=>[8,4,3,7,1,6,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,5,3,8,7,4]=>[7,8,3,4,6,1,2,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,5,3,1,6,2,8,7]=>[5,4,6,8,3,7,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,4,2,8,7,5,6]=>[6,8,5,7,1,2,4,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,3,2,8,7,5,6]=>[8,5,6,7,1,2,4,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,7,8,6,2,4,5]=>[8,6,2,1,3,7,5,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,3,8,5,4,7,2,6]=>[8,6,1,4,5,2,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,4,2,7,6,8,5,3]=>[8,5,7,2,3,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,7,5,1,4,8,3]=>[7,3,2,4,8,5,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,6,8,2,1,4,7,3]=>[4,3,1,7,8,5,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,1,3,2,7,4,5,8]=>[3,8,6,7,2,5,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,5,8,3,6,4,1]=>[2,7,4,1,6,3,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,5,2,6,8,3,1]=>[2,5,4,7,3,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,4,3,7,5,8,2]=>[3,8,5,6,2,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,6,7,5,8,2,3]=>[8,5,3,2,4,1,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,1,2,8,7,6,4,3]=>[4,8,7,1,2,3,5,6]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,1,3,6,5,8,2,4]=>[2,8,6,3,4,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,1,4,7,5,2,8]=>[6,3,8,5,2,4,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,4,6,5,8,2]=>[2,8,6,5,3,4,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,4,5,2,7,1]=>[6,1,3,5,4,7,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,6,2,3,7,1]=>[5,4,1,3,7,6,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,8,5,3,7,2,1]=>[5,3,1,4,6,2,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,7,2,8,6,3,1]=>[5,4,2,7,1,3,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,4,5,1,6,8,2]=>[6,2,5,4,8,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,8,1,2,5,7,3]=>[5,3,1,8,7,4,2,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,8,5,1,3,7,2]=>[5,3,1,4,8,6,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,4,5,2,8,6,1]=>[6,2,5,4,7,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,8,4,6,1,5,2]=>[6,2,1,5,3,8,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,2,1,6,8,3]=>[5,4,2,7,8,3,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,4,5,2,6,8,3]=>[8,2,5,4,7,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,8,4,6,2,7]=>[6,8,4,1,5,3,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,8,2,1,3,7]=>[5,3,4,1,7,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,4,8,3,5,6,2,7]=>[8,5,1,6,4,3,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,7,4,2,3,6,5]=>[8,1,2,5,7,6,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,7,2,4,5,8,1,6]=>[6,2,7,5,4,1,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,7,4,6,1,8,5]=>[6,7,2,5,3,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,6,2,1,3,8,5]=>[2,5,3,7,8,6,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,7,2,4,1,8,5]=>[6,3,2,7,5,8,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,7,2,3,5,6,1]=>[1,5,2,7,6,4,3,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,7,1,8,4,3,6,2]=>[4,2,8,1,5,6,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,8,7,6,2,3,1]=>[4,5,1,2,3,7,6,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,4,6,3,1,5,2,7]=>[1,5,3,6,8,4,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,1,5,2,4,7,8]=>[6,3,8,4,7,5,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,6,2,5,4,1,8]=>[6,2,3,7,4,5,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,5,3,4,6,8]=>[7,2,8,4,6,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,4,5,1,2,7,6,3]=>[1,5,4,8,7,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,2,6,8,5,1,3,4]=>[2,7,3,1,4,8,6,5]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,3,4,1,6,7,5]=>[1,7,6,5,8,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,7,5,4,2,1,6]=>[6,1,2,4,5,7,8,3]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [7,3,6,5,8,1,4,2]=>[2,6,3,4,1,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,4,8,6,1,5,2]=>[2,6,5,1,3,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,3,1,6,8,4,7]=>[4,7,6,8,3,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,4,2,7,8,6,3]=>[4,8,5,7,2,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,7,4,1,5,3,6]=>[7,1,2,5,8,4,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,1,7,5,8,4,3,6]=>[7,8,2,4,1,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,1,2,8,5,7,4]=>[6,3,8,7,1,4,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,5,8,1,4,3,6,2]=>[2,4,1,8,5,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,5,3,8,6,2,1]=>[2,5,4,6,1,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,4,7,8,6,3,1,5]=>[7,5,2,1,3,6,8,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [6,2,4,3,5,8,1,7]=>[3,7,5,6,4,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,5,8,1,7,3,6]=>[7,5,4,1,8,2,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,2,3,8,4,7,6,1]=>[4,7,6,1,5,2,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,3,5,8,2,1,6]=>[5,2,6,4,1,7,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,8,7,4,6,3,1]=>[4,7,1,2,5,3,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,4,7,6,3,1,8,5]=>[7,5,2,3,6,8,1,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,6,2,5,8,1,3]=>[5,2,3,7,4,1,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,4,5,8,3,1,7]=>[7,3,5,4,1,6,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,7,4,8,6,2,5,1]=>[6,2,5,1,3,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,7,1,3,6,2,5]=>[5,1,2,8,6,3,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,5,2,8,1,4,6]=>[2,6,4,7,1,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,5,8,7,4,2,3,6]=>[8,4,1,2,5,7,6,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,2,4,5,8,6,3]=>[8,2,7,5,4,1,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,2,7,5,3,4,8]=>[8,3,7,2,4,6,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,3,2,8,5,6,4]=>[8,2,6,7,1,4,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,2,4,8,3,7]=>[8,3,4,7,5,1,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,3,8,4,2,5,6]=>[8,2,6,1,5,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,2,7,4,3,8,5]=>[8,3,7,2,5,6,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,3,6,7,1,4,8]=>[7,4,6,3,2,8,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,5,6,2,1,4,8,3]=>[2,4,3,7,8,5,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,5,3,6,7,4,8,1]=>[7,4,6,3,2,5,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,7,3,4,2,8]=>[3,8,4,2,6,5,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,7,3,8,5,6,4]=>[8,7,2,6,1,4,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,6,3,2,7,5,4]=>[1,8,3,6,7,2,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,5,6,2,4,8,1,3]=>[2,4,3,7,5,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,5,1,4,2,3,6]=>[2,1,4,8,5,7,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,8,4,2,1,5,6]=>[6,2,1,5,7,8,4,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,2,3,7,1,4,8]=>[4,3,7,6,2,8,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,2,3,7,4,8,1]=>[4,3,7,6,2,5,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,3,7,5,4,8]=>[8,3,7,6,2,4,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,3,1,4,5,8,6]=>[7,2,6,8,5,4,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,5,8,3,2,7,1,4]=>[3,4,1,6,7,2,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,7,6,5,3,4,8]=>[8,7,2,3,4,6,5,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,2,7,6,4,5,3,8]=>[8,7,2,3,5,4,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,8,7,6,4,5,3]=>[8,7,1,2,3,5,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,8,7,5,3,4,6]=>[8,7,1,2,4,6,5,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,2,6,5,3,4,8,7]=>[8,7,3,4,6,5,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,2,7,5,4,3,6,8]=>[8,7,2,4,5,6,3,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,2,8,6,7,4,5,3]=>[8,7,1,3,2,5,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,5,6,8,2,7,1]=>[6,5,4,3,1,7,2,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [3,7,5,2,1,6,4,8]=>[6,2,4,7,8,3,5,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,1,3,5,8,4,2,7]=>[3,8,6,4,1,5,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,3,7,5,2,8]=>[5,3,8,6,2,4,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,1,3,4,2,7]=>[4,3,1,8,6,5,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,6,7,3,4,2,8]=>[8,4,3,2,6,5,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,7,1,4,3,2,8]=>[4,3,2,8,5,6,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,8,1,4,2,3,6]=>[4,2,1,8,5,7,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,8,5,2,1,7,3]=>[5,3,1,4,7,8,2,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,6,7,8,2,4,5,3]=>[8,3,2,1,7,5,4,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,7,8,2,1,3,5,6]=>[5,2,1,7,8,6,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,7,8,3,2,4,6,1]=>[4,2,1,6,7,5,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,4,1,8,2,7,6]=>[6,4,5,8,1,7,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,8,4,2,7,5]=>[6,3,8,1,5,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,8,2,3,5,1,4]=>[3,2,1,7,6,4,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,8,2,5,1,3,4]=>[3,2,1,7,4,8,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,7,8,2,5,3,4,1]=>[3,2,1,7,4,6,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,8,2,6,4,3,1]=>[4,2,1,7,3,5,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,7,8,2,5,4,3]=>[8,3,2,1,7,4,5,6]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [6,7,8,2,5,4,1,3]=>[3,2,1,7,4,5,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,2,7,8,6,1,3]=>[5,4,7,2,1,3,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,3,4,7,1,8]=>[7,3,4,6,5,2,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,7,3,6,5,8,2]=>[8,5,2,6,3,4,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,3,6,5,1,8]=>[7,5,2,6,3,4,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,1,3,6,5,8,2]=>[5,2,8,6,3,4,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,3,4,2,6,7]=>[8,1,4,6,5,7,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,3,5,8,7,2,6,4]=>[8,6,4,1,2,7,3,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,3,5,7,4,6,1,8]=>[7,6,4,2,5,3,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,1,3,8,7,5,2,6]=>[5,8,6,1,2,4,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,3,1,2,5,8,4]=>[3,2,6,8,7,4,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,5,8,2,1,4,7,3]=>[3,4,1,7,8,5,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,8,5,7,3,2,4]=>[3,8,1,4,2,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,7,2,1,5,8,4]=>[6,3,2,7,8,4,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,8,4,3,5,1,6,2]=>[2,1,5,6,4,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,6,2,5,8,4]=>[6,8,2,3,7,4,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,5,6,1,3,8,7,4]=>[7,4,3,8,6,1,2,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,1,3,5,7,6,4]=>[7,1,8,6,4,2,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,8,5,7,2,4,6,1]=>[6,1,4,2,7,5,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,4,6,8,2,7]=>[6,8,4,5,3,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,4,8,1,7,6,2]=>[6,4,5,1,8,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,4,6,1,3,2,8]=>[4,2,5,3,8,6,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,2,6,4,7,1]=>[4,1,6,7,3,5,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,4,5,2,8,3]=>[3,2,8,5,4,7,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,5,6,1,3,8,4]=>[2,7,4,3,8,6,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,4,8,6,1,2,3]=>[4,2,5,1,3,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,8,1,6,7,2,3]=>[4,5,1,8,3,2,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,2,6,3,1,8,4]=>[4,2,7,3,6,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,3,5,7,1,8,2]=>[5,3,6,4,2,8,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,3,5,2,6,8,1]=>[5,2,6,4,7,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,6,5,2,4,8,1]=>[2,6,3,4,7,5,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,6,4,5,1,8,2]=>[2,6,3,5,4,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,3,5,7,1,8,4]=>[7,3,6,4,2,8,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,4,7,1,8,6]=>[7,6,4,5,2,8,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,8,1,7,2,3]=>[5,4,3,1,8,2,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,8,2,7,3,6,1]=>[5,4,1,7,2,6,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,7,2,6,8,3]=>[5,8,4,2,7,3,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,7,4,2,5,8,6]=>[8,6,2,5,7,4,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,8,4,1,5,7,3,2]=>[3,1,5,8,4,2,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,1,7,2,6,8,3]=>[5,4,8,2,7,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,6,2,3,7,5,4]=>[1,8,3,7,6,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,3,5,6,4,8,2]=>[2,8,6,4,3,5,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,6,4,5,8,1]=>[2,7,6,3,5,4,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,2,5,3,7,4,8]=>[3,8,7,4,6,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,4,2,8,1,6,5]=>[2,6,5,7,1,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,3,4,7,8,5,6,2]=>[8,6,5,2,1,4,3,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,8,5,3,6,4,7,2]=>[8,1,4,6,3,5,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,4,5,8,3,7,2]=>[8,3,5,4,1,6,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,3,6,5,8,4,7,2]=>[8,6,3,4,1,5,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,3,2,1,8,6]=>[5,4,2,6,7,8,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,5,8,1,6,4,3,7]=>[7,4,1,8,3,5,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,2,5,3,8,7]=>[5,3,8,7,4,6,1,2]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,7,3,1,4,8]=>[7,4,3,2,6,8,5,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,2,5,6,1,4,3,8]=>[2,7,4,3,8,5,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,1,3,2,8,4]=>[3,2,4,8,6,7,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,6,7,2,1,4]=>[6,4,1,3,2,7,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,3,6,4,1,7,5]=>[7,1,6,3,5,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,7,1,3,4,2,6]=>[1,4,2,8,6,5,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,8,7,3,2,6,4]=>[4,8,1,2,6,7,3,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,4,8,7,3,1,2,5]=>[3,5,1,2,6,8,7,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,8,5,6,2,1,7,3]=>[5,1,4,3,7,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,6,3,7,4,2,1]=>[4,1,3,6,2,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,7,1,2,5,3,4]=>[3,1,2,8,7,4,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,4,5,2,7,3,6,1]=>[1,5,4,7,2,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,3,7,4,5,2,8,1]=>[3,6,2,5,4,7,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,4,2,8,5,6,1]=>[2,6,5,7,1,4,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,3,6,5,8,2,7,1]=>[5,6,3,4,1,7,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,7,4,5,3,6,1]=>[1,7,2,5,4,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,8,4,5,3,6,1]=>[2,7,1,5,4,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,8,4,7,5,6,1]=>[6,7,1,5,2,4,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,6,2,7,4,5,1]=>[1,6,3,7,2,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,7,8,2,6,5,1]=>[6,5,2,1,7,3,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,2,6,8,4,5,7,1]=>[6,7,3,1,5,4,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,5,8,4,7,3,1]=>[7,3,4,1,5,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,6,8,2,1,7]=>[5,6,4,3,1,7,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,8,7,4,1,3]=>[7,3,4,1,2,5,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,6,8,5,2,1,7]=>[6,5,3,1,4,7,8,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,7,8,4,3,6,5,2]=>[8,2,1,5,6,3,4,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,7,8,3,6,5,4,2]=>[8,2,1,6,3,4,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,4,5,8,7,2,1,3]=>[3,5,4,1,2,7,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,1,7,2,4,3,6]=>[4,1,8,2,7,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,6,8,1,2,7]=>[4,6,5,3,1,8,7,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,4,5,8,1,2,7]=>[6,3,5,4,1,8,7,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,1,6,4,3,2,8]=>[4,2,8,3,5,6,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,1,6,4,2,3,7]=>[4,1,8,3,5,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,4,8,7,2,5,3,6]=>[8,5,1,2,7,4,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,1,7,2,4,3,5]=>[3,1,8,2,7,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,6,8,4,1,3,5]=>[7,2,3,1,5,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,8,3,2,4,1,7]=>[3,4,1,6,7,5,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,6,2,3,8,7,4]=>[8,4,3,7,6,1,2,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,1,4,5,2,6,3,8]=>[2,8,5,4,7,3,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,5,2,1,6,7,4]=>[1,6,4,7,8,3,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,8,3,4,7,1,2]=>[4,3,1,6,5,2,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,8,2,3,4,6,1]=>[4,2,1,7,6,5,3,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,2,8,3,4,1,6]=>[4,2,7,1,6,5,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,5,8,6,1,2]=>[6,2,5,4,1,3,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,1,6,3,8,7,4]=>[7,4,8,3,6,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,2,7,6,8,1,4]=>[6,4,7,2,3,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,2,7,5,8,1,4]=>[6,3,7,2,4,1,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,4,7,1,8,2,5]=>[6,3,5,2,8,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,3,7,1,8,4,5]=>[7,3,6,2,8,1,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,7,3,8,5,4]=>[7,3,8,2,6,1,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,4,7,1,8,5,3]=>[7,3,5,2,8,1,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,1,7,6,8,4,3]=>[7,4,8,2,3,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,5,7,4,8,1,3]=>[7,3,4,2,5,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,7,1,8,3,5]=>[7,3,5,2,8,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,4,7,3,8,1,5]=>[7,3,5,2,6,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,5,7,3,8,2,4]=>[8,3,4,2,6,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,2,4,5,6,3,7]=>[8,1,7,5,4,3,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,8,5,3,7,6,2,4]=>[8,1,4,6,2,3,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,5,7,6,4,2,3]=>[8,1,4,2,3,5,7,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,3,7,4,2,6,5]=>[8,1,6,2,5,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,4,2,7,3,5,8]=>[3,8,5,7,2,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,8,2,4,3,5,6]=>[2,8,1,7,5,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,3,2,7,6,4,8]=>[4,8,6,7,2,3,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,3,2,8,7,6,4]=>[4,8,6,7,1,2,3,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,1,3,2,8,6,4,7]=>[4,8,6,7,1,3,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,4,2,7,8,3,5]=>[3,8,5,7,2,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,3,2,6,5,7,8]=>[5,8,6,7,3,4,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,1,3,2,7,8,6,5]=>[5,8,6,7,2,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,8,2,4,7,1,3]=>[4,3,1,7,5,2,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,7,1,4,8,2,3]=>[4,3,2,8,5,1,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,2,7,6,5,8]=>[5,8,6,7,2,3,4,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,3,2,7,5,6,8]=>[5,8,6,7,2,4,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,4,2,3,8,5,1]=>[3,2,5,7,6,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,4,7,3,2,8]=>[4,3,8,5,2,6,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,6,1,4,7,3,2]=>[4,1,3,8,5,2,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,8,7,3,2,4,6,1]=>[4,1,2,6,7,5,3,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,1,3,2,6,7,5,8]=>[5,8,6,7,3,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,3,2,5,8,7,6]=>[5,8,6,7,4,1,2,3]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,3,2,5,8,6,7]=>[5,8,6,7,4,1,3,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,3,2,6,8,4,7]=>[4,8,6,7,3,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,1,4,6,8,2,3]=>[4,2,8,5,3,1,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,2,5,6,8,7]=>[5,8,6,7,4,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,1,4,8,3,7,5,2]=>[3,8,5,1,6,2,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,2,3,6,4,1,5]=>[2,1,7,6,3,5,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,3,2,8,1,5]=>[3,2,5,6,7,1,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,4,1,7,5,6,3,8]=>[7,5,8,2,4,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,3,5,2,8,7,6]=>[5,8,6,4,7,1,2,3]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,8,6,3,7,1,2]=>[5,4,1,3,6,2,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,2,4,6,8,1,7,5]=>[6,7,5,3,1,8,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,8,5,1,6,3]=>[7,5,2,1,4,8,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,2,5,8,4,7,6]=>[8,6,7,4,1,5,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,5,8,4,7,6]=>[7,8,6,4,1,5,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,7,6,2,8,5]=>[8,5,6,2,3,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,2,7,6,3,8,5]=>[8,5,7,2,3,6,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,4,2,7,3,8,6]=>[8,4,5,7,2,6,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,1,7,8,2,4]=>[6,3,4,8,2,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,2,5,7,3,8,4]=>[8,3,7,4,2,6,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,8,2,6,3,5]=>[8,5,2,1,7,3,6,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,2,7,6,8,5,3,4]=>[8,7,2,3,1,4,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,6,1,7,8,5,3]=>[7,5,3,8,2,1,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,3,8,2,5,7,6]=>[8,5,6,1,7,4,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,7,3,6,4,2,8]=>[8,4,2,6,3,5,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,7,2,4,8,3,5]=>[8,3,2,7,5,1,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,8,4,1,5,6]=>[6,2,7,1,5,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,4,6,3,8,2,7]=>[4,8,5,3,6,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,3,5,8,1,4,7]=>[7,3,6,4,1,8,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,1,6,8,4,3,5]=>[7,2,8,3,1,5,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,4,1,8,3,5]=>[2,7,3,5,8,1,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,1,5,8,2,7,4]=>[6,3,8,4,1,7,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,1,7,8,6,2]=>[4,6,5,8,2,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,6,5,8,2,3,1]=>[5,2,3,4,1,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,7,8,6,2,1]=>[4,6,5,2,1,3,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,3,8,4,5,6,1,7]=>[7,6,1,5,4,3,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,8,4,5,7,1,6]=>[7,6,1,5,4,2,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,7,2,1,8,6]=>[5,6,4,2,7,8,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,5,7,2,8,6,1]=>[5,6,4,2,7,1,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,8,4,7,1,5,6]=>[7,6,1,5,2,8,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,4,1,7,6,5,8,2]=>[6,5,8,2,3,4,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,3,2,6,5,7]=>[5,8,1,6,7,3,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,3,7,5,1,6,8,2]=>[5,6,2,4,8,3,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,3,8,2,4,5,7]=>[3,8,6,1,7,5,4,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,7,4,3,5,1,6]=>[1,7,2,5,6,4,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,2,8,3,1,4,6]=>[4,2,7,1,6,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,4,1,3,7,2,6]=>[4,1,5,8,6,2,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,4,6,5,8,3,1]=>[2,7,5,3,4,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,4,1,7,3,2,6]=>[4,1,5,8,2,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,5,8,4,7,1]=>[3,7,6,4,1,5,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,1,6,8,5,7]=>[6,5,7,8,3,1,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,8,4,3,1,6]=>[4,2,7,1,5,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,7,1,5,6,2,8]=>[6,5,2,8,4,3,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,6,4,7,3,2,1]=>[4,1,3,5,2,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,6,3,5,1,7,4]=>[7,1,3,6,4,8,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,5,1,4,6,7,2]=>[1,6,4,8,5,3,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,8,6,2,5,4,7,1]=>[6,1,3,7,4,5,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,7,4,2,5,3,6]=>[1,8,2,5,7,4,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,5,1,2,6,7,3]=>[1,5,4,8,7,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,5,2,4,6,7,3]=>[1,8,4,7,5,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,2,6,4,1,3,8,7]=>[4,7,3,5,8,6,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,3,5,2,8,6,4]=>[2,8,6,4,7,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,6,2,1,4,7,3]=>[4,1,3,7,8,5,2,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,8,4,3,2,1,7,5]=>[3,1,5,6,7,8,2,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,1,8,5,4,3,7,6]=>[7,8,1,4,5,6,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,6,4,8,5,3,2]=>[2,8,3,5,1,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,2,8,5,4,1,3,7]=>[3,7,1,4,5,8,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,4,8,5,3,2,7,1]=>[3,5,1,4,6,7,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,6,1,8,5,4,2,7]=>[6,3,8,1,4,5,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,8,5,3,2,6,1]=>[5,2,1,4,6,7,3,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,8,5,6,2,7,1,3]=>[5,1,4,3,7,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,8,6,2,7,1,3]=>[5,4,1,3,7,2,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,5,6,3,2,8,4,1]=>[2,4,3,6,7,1,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,6,5,7,3,1,2]=>[5,1,3,4,2,6,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,4,7,5,6,3,1,2]=>[1,5,2,4,3,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,8,5,7,3,1,2]=>[5,3,1,4,2,6,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,5,4,7,2,3,1]=>[3,1,4,5,2,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,1,8,5,4,3]=>[7,3,2,8,1,4,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,8,1,2,6,5,7]=>[6,5,1,8,7,3,4,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,3,5,6,1,4,8]=>[7,2,6,4,3,8,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,4,7,8,1,3,6]=>[4,7,5,2,1,8,6,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,8,5,6,1,2,7,3]=>[5,1,4,3,8,7,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,6,8,7,1,4,3]=>[7,4,3,1,2,8,5,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,5,3,8,7,4]=>[3,8,7,4,6,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,7,1,5,2,4,3]=>[3,1,2,8,4,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,1,2,6,7,4]=>[4,6,1,8,7,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,8,5,3,7,6,4,1]=>[7,1,4,6,2,3,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,4,2,7,8,5,3]=>[8,3,5,7,2,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,2,4,6,7,3,8]=>[4,8,7,5,3,2,6,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,3,6,7,2,4,8]=>[4,8,6,3,2,7,5,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,2,3,6,4,1,7,5]=>[1,7,6,3,5,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,7,5,8,6,1,4]=>[7,6,2,4,1,3,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,1,2,4,7,6]=>[6,1,4,8,7,5,2,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,7,5,2,8,6,1]=>[6,5,2,4,7,1,3,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,6,4,8,2,7,5]=>[8,6,3,5,1,7,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,5,3,4,7,2]=>[3,1,8,4,6,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,4,5,1,3,7,2]=>[3,1,5,4,8,6,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,8,1,6,2,5,4]=>[2,6,1,8,3,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,7,3,4,1,5,8]=>[7,3,2,6,5,8,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,6,3,4,1,5,8]=>[7,2,3,6,5,8,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,7,4,2,6,8]=>[4,8,6,2,5,7,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,7,3,4,1,5,8]=>[3,7,2,6,5,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,6,8,3,2,4,5,7]=>[8,3,1,6,7,5,4,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,5,3,8,1,4,6,7]=>[7,4,6,1,8,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,3,1,8,4,6,7]=>[7,4,6,8,1,5,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,6,5,8,2,3,1]=>[2,5,3,4,1,7,6,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,6,4,8,2,5,1]=>[2,6,3,5,1,7,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,6,8,4,5,1,2]=>[2,6,3,1,5,4,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,5,7,4,2,8,3]=>[8,3,4,2,5,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,7,4,8,5,6,3]=>[8,7,2,5,1,4,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,5,6,3,8,4,1]=>[2,7,4,3,6,1,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,7,4,8,5,2,3]=>[8,3,2,5,1,4,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,7,4,8,5,1,3]=>[7,3,2,5,1,4,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,5,1,3,6,2]=>[5,2,1,4,8,6,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,8,2,5,3,6,7]=>[8,5,1,7,4,6,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,6,2,8,4,7]=>[8,4,6,3,7,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,1,3,7,2,8,5]=>[5,3,8,6,2,7,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,4,8,5,1,7]=>[7,3,6,5,1,4,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,4,8,5,2,7]=>[8,3,6,5,1,4,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,4,8,5,6,2]=>[8,2,6,5,1,4,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,7,5,8,4,6,1]=>[6,7,2,4,1,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,5,8,6,4,3,7,1]=>[7,4,1,3,5,6,2,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,1,4,7,3,5,6,2]=>[1,8,5,2,6,4,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,7,2,4,5,6,1]=>[1,6,2,7,5,4,3,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,1,4,5,7,3,6,2]=>[1,8,5,4,2,6,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,5,3,7,2,1]=>[3,1,5,4,6,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,4,5,3,2,7,1]=>[3,1,5,4,6,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,5,4,2,8,3,1]=>[3,2,4,5,7,1,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,7,6,4,8,2,3,1]=>[4,2,3,5,1,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,4,2,8,7,1]=>[4,3,6,5,7,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,4,6,5,8,1,3]=>[2,7,5,3,4,1,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,4,7,8,1,2]=>[3,6,4,5,2,1,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,6,4,1,3,8,7]=>[7,4,3,5,8,6,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,1,3,5,7,2,8]=>[5,3,8,6,4,2,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,2,5,1,8,7]=>[6,5,3,7,4,8,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,2,1,8,6,7]=>[5,4,6,7,8,1,3,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,6,5,8,1,7,4,2]=>[6,3,4,1,8,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,8,5,2,3,7]=>[5,8,3,1,4,7,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,2,8,6,7,1,3]=>[5,4,7,1,3,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,8,6,7,3,1]=>[5,4,7,1,3,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,8,6,2,4,7,1]=>[6,4,1,3,7,5,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,1,6,4,8,3,7]=>[7,4,8,3,5,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,2,1,3,8,6,7]=>[5,4,7,8,6,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,3,6,8,5,1,7]=>[5,7,6,3,1,4,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,5,8,6,1,7,2]=>[6,5,4,1,3,8,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,4,5,8,6,1,2,7]=>[6,5,4,1,3,8,7,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [6,8,5,2,4,7,1,3]=>[3,1,4,7,5,2,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,3,7,6,1,5,2,4]=>[1,6,2,3,8,4,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,6,4,1,3,7,5]=>[1,7,3,5,8,6,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,5,8,2,4,3,7,6]=>[8,4,1,7,5,6,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,8,2,5,3,7,6]=>[8,5,1,7,4,6,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,4,1,5,8,7]=>[6,7,3,5,8,4,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,7,4,1,5,8,6]=>[6,7,2,5,8,4,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,2,7,3,1,5,8,6]=>[5,7,2,6,8,4,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,7,3,1,4,8,5]=>[3,7,2,6,8,5,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,7,4,1,2,6,5]=>[1,6,2,5,8,7,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,3,7,8,2,6,5,1]=>[5,6,2,1,7,3,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,5,1,2,6,7,4]=>[6,1,4,8,7,3,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,4,7,8,3,6,1,2]=>[4,5,2,1,6,3,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,1,3,2,5,7,4]=>[3,1,8,6,7,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,7,3,2,4,5,6]=>[8,1,2,6,7,5,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,6,3,2,8,7,1,4]=>[4,3,6,7,1,2,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,7,8,3,2,4]=>[4,8,3,2,1,6,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,6,7,4,2,3,8]=>[8,4,3,2,5,7,6,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,1,6,7,3,4,2,8]=>[4,8,3,2,6,5,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,1,7,4,2,3]=>[3,1,4,8,2,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,5,2,3,1,6,7]=>[5,1,4,7,6,8,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,4,8,3,1,2,6,7]=>[4,5,1,6,8,7,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,4,7,3,2,5,6,1]=>[1,5,2,6,7,4,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,5,1,7,3,4,2]=>[3,1,4,8,2,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,7,3,8,1,4,5]=>[3,7,2,6,1,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,7,5,1,8,2,3]=>[5,3,2,4,8,1,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,2,6,8,7,4,1]=>[6,4,7,3,1,2,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,3,6,8,4,1,2,5]=>[2,6,3,1,5,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,7,5,1,2,8,4]=>[3,6,2,4,8,7,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,3,8,7,4,5,1]=>[3,7,6,1,2,5,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,2,8,4,6,5,3]=>[2,8,7,1,5,3,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,8,1,2,7,6,4]=>[6,4,1,8,7,2,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,3,6,8,5,2,7]=>[8,5,6,3,1,4,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,5,4,7,2,1]=>[3,1,6,4,5,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,7,6,4,1,3,5]=>[1,7,2,3,5,8,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,5,7,1,4,2,6,3]=>[1,4,2,8,5,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,2,5,6,3,7,1]=>[5,1,7,4,3,6,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,5,7,4,6,2,3]=>[1,8,4,2,5,3,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,5,6,3,2,8]=>[5,2,8,4,3,6,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,7,1,6,3,8,2]=>[5,4,2,8,3,6,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,4,8,3,6,5]=>[7,2,8,5,1,6,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,5,6,8,4,3]=>[7,2,8,4,3,1,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,3,1,8,7,4,6,5]=>[7,6,8,1,2,5,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,8,2,1,5,3,7]=>[5,3,1,7,8,4,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,8,4,7,2,3,1]=>[4,3,1,5,2,7,6,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,3,6,1,2,8]=>[5,4,2,6,3,8,7,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,2,6,1,7,3]=>[5,4,1,7,3,8,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,5,7,2,1,6,8]=>[6,5,4,2,7,8,3,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,5,6,8,3,2,7,1]=>[5,4,3,1,6,7,2,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,7,2,6,1,8,3]=>[5,4,2,7,3,8,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,7,2,3,8,1]=>[5,3,4,2,7,6,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,7,2,5,8,4,1]=>[6,3,2,7,4,1,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,3,6,7,4,8,1,2]=>[4,6,3,2,5,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,7,8,3,6,5,1]=>[5,7,2,1,6,3,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,7,8,5,6,1,3]=>[5,7,2,1,4,3,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,7,8,4,2,1,6]=>[6,4,2,1,5,7,8,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,6,7,3,2,8,1,5]=>[5,3,2,6,7,1,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,2,4,7,8,3,1]=>[4,3,7,5,2,1,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,6,3,2,8,4,7,1]=>[4,3,6,7,1,5,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,8,3,4,7,1]=>[4,3,7,1,6,5,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,4,8,1,6,5,2]=>[6,2,5,1,8,3,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,4,8,7,3,1]=>[4,7,3,5,1,2,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,4,2,5,8,1,7,6]=>[6,5,7,4,1,8,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,7,8,1,4,3]=>[4,7,3,2,1,8,5,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,7,8,1,6,5]=>[6,7,5,2,1,8,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,3,1,7,8,4,6]=>[7,4,6,8,2,1,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,1,6,5,2,3,7]=>[5,1,8,3,4,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,7,6,2,3,1,8]=>[5,4,2,3,7,6,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,2,7,5,3,1,6]=>[5,1,7,2,4,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,7,6,5,1,8,3]=>[7,5,2,3,4,8,1,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,2,4,6,5,8,3,7]=>[8,7,5,3,4,1,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,8,7,1,6,4,3,5]=>[7,1,2,8,3,5,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,7,8,6,4,5,2]=>[8,6,2,1,3,5,4,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,8,5,6,3,1,2,7]=>[5,1,4,3,6,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,1,7,6,3,4,8]=>[7,4,8,2,3,6,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,2,1,4,7,8,6]=>[6,4,7,8,5,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,2,5,1,8,7,4,3]=>[3,7,4,8,1,2,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,5,8,1,7,4,2,6]=>[6,4,1,8,2,5,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,2,4,8,3,6]=>[4,2,8,7,5,1,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,7,8,1,2,3,6,4]=>[4,2,1,8,7,6,3,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,8,3,5,2,4,1]=>[3,2,1,6,4,7,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,3,7,8,4,2,5,6]=>[8,6,2,1,5,7,4,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,7,8,3,6,1,2,5]=>[5,2,1,6,3,8,7,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,4,3,7,6,8,2]=>[4,8,5,6,2,3,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,6,1,7,2,3,4]=>[4,1,3,8,2,7,6,5]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,3,7,2,6,5,1]=>[5,1,6,2,7,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,2,6,3,4,7,1]=>[4,1,7,3,6,5,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,4,3,8,2,6,7]=>[4,8,5,6,1,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,8,7,3,6,5,1]=>[5,7,1,2,6,3,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,7,8,6,1,4,5,2]=>[6,2,1,3,8,5,4,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,7,8,2,1,5,3]=>[5,3,2,1,7,8,4,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,7,6,3,8,1,5,2]=>[5,2,3,6,1,8,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,4,8,2,5,6]=>[6,2,8,5,1,7,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,8,1,4,6,2,5,7]=>[6,1,8,5,3,7,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,4,6,3,2,1,7]=>[4,1,5,3,6,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,3,4,6,2,7,5]=>[8,1,6,5,3,7,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,6,8,7,1,4]=>[7,6,4,3,1,2,8,5]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,5,3,8,7,1,6]=>[7,5,4,6,1,2,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,5,2,6,8,7,4]=>[8,6,4,7,3,1,2,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,5,6,2,8,1,3]=>[5,2,4,3,7,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,5,8,4,7,1,6]=>[7,6,4,1,5,2,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,7,4,8,5,2,1,3]=>[3,2,5,1,4,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,4,6,7,3,5,1]=>[7,1,5,3,2,6,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,7,8,2,5,3]=>[5,8,3,2,1,7,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,4,6,1,3,7]=>[7,4,1,5,3,8,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,8,6,5,1,3,2]=>[5,2,1,3,4,8,6,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,5,7,3,6,2,1,4]=>[1,4,2,6,3,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,6,7,3,5,2,1]=>[1,5,3,2,6,4,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,4,6,3,5,2,1]=>[2,1,5,3,6,4,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,4,6,7,3,2,1]=>[4,1,5,3,2,6,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,8,4,7,3,5,2,1]=>[3,1,5,2,6,4,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,5,8,3,6,2,1]=>[2,5,4,1,6,3,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,7,3,5,6,2,1]=>[1,5,2,6,4,3,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,5,8,7,3,2,6,1]=>[5,4,1,2,6,7,3,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,6,4,2,8,1,7,5]=>[6,3,5,7,1,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,5,3,4,7,8]=>[7,8,3,4,6,5,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,2,6,5,3,7,8,1]=>[5,7,3,4,6,2,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,7,3,5,8,4,2]=>[3,8,2,6,4,1,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,1,3,6,8,4,2]=>[4,2,8,6,3,1,5,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,7,2,3,5,4,1,8]=>[3,2,7,6,4,5,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,8,3,5,4,1,2]=>[3,2,1,6,4,5,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,7,3,6,4,1,2]=>[4,1,2,6,3,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,7,3,6,4,1,8]=>[7,4,2,6,3,5,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,7,6,8,3,2]=>[5,4,8,2,3,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,4,7,6,5,1,2]=>[1,6,5,2,3,4,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,4,7,6,1,5,3]=>[1,7,5,2,3,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,7,4,2,3,1,5]=>[3,1,2,5,7,6,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,1,8,7,4,2,5,6]=>[6,8,1,2,5,7,4,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,4,8,6,2,1,7,5]=>[6,5,1,3,7,8,2,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,4,6,2,1,7,3,5]=>[1,5,3,7,8,2,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,3,1,6,8,4,5]=>[7,2,6,8,3,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,4,3,1,8,6,5]=>[2,7,5,6,8,1,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,6,2,1,7,4,5]=>[6,1,3,7,8,2,5,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,1,7,6,2,5,4,3]=>[1,8,2,3,7,4,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,1,3,6,7,5,2]=>[5,1,8,6,3,2,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,5,8,6,1,7,4,2]=>[6,4,1,3,8,2,5,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,1,4,7,5,2,6,3]=>[1,8,5,2,4,7,3,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,8,6,7,3,5,2]=>[8,5,1,3,2,6,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,7,8,5,3,2]=>[5,8,3,2,1,4,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,6,7,1,3,4,8,2]=>[4,3,2,8,6,5,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,1,5,7,2,3,8]=>[5,3,8,4,2,7,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,7,6,3,8,5,1]=>[5,7,2,3,6,1,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,8,3,7,6,1,2,4]=>[4,1,6,2,3,8,7,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,7,3,5,4,1,2]=>[3,1,2,6,4,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,8,3,7,1,6,2]=>[5,4,1,6,2,8,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,6,5,2,3,8]=>[5,2,8,3,4,7,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,2,4,5,1,3,8]=>[3,2,7,5,4,8,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,3,4,2,6,5,8]=>[2,8,6,5,7,3,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,5,3,2,7,1,6]=>[5,1,4,6,7,2,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,4,8,1,3,7,2,6]=>[4,5,1,8,6,2,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,5,3,1,8,6,2]=>[2,5,4,6,8,1,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,8,7,2,4,3,1]=>[4,3,1,2,7,5,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,8,6,4,2,3,1]=>[4,2,1,3,5,7,6,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,8,7,5,1,3,2,4]=>[3,1,2,4,8,6,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,2,6,7,5,1,4]=>[6,1,7,3,2,4,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,3,8,2,5,1]=>[5,2,3,6,1,7,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,8,3,2,4,1]=>[4,2,3,1,6,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,4,8,6,1,2,5]=>[2,6,5,1,3,8,7,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,5,3,6,8,2,4]=>[8,2,4,6,3,1,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,4,8,7,1,2,5]=>[6,3,5,1,2,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,4,8,1,6,3,5]=>[7,2,5,1,8,3,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,4,6,8,2,3,1]=>[4,2,5,3,1,7,6,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,7,8,2,3,1]=>[5,3,4,2,1,7,6,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,4,7,8,6,1,2,5]=>[6,5,2,1,3,8,7,4]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,1,5,7,6,8,3,4]=>[7,8,4,2,3,1,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,7,6,8,1,2,4]=>[6,4,2,3,1,8,7,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,5,8,1,6,3,7]=>[7,5,4,1,8,3,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,8,7,5,2,6,4,3]=>[8,1,2,4,7,3,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,3,5,8,1,6,2,7]=>[5,6,4,1,8,3,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,6,4,2,3,7]=>[8,1,4,3,5,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,1,8,2,4,3,5]=>[3,2,8,1,7,5,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,5,3,8,1,6,7]=>[7,5,4,6,1,8,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,8,3,7,5,4,1]=>[7,3,1,6,2,4,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,8,1,6,7,4,2]=>[6,4,1,8,3,2,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,8,7,6,2,4,5,3]=>[8,1,2,3,7,5,4,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,4,2,5,8,1,6,7]=>[6,5,7,4,1,8,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,4,8,5,7,3,1,2]=>[3,5,1,4,2,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,2,4,7,1,5,8,3]=>[3,7,5,2,8,4,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,7,2,5,8,3]=>[8,3,5,2,7,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,5,1,8,6,3,4]=>[7,2,4,8,1,3,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,1,3,2,4,7,5]=>[3,1,8,6,7,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,4,5,1,7,6,2]=>[1,6,5,4,8,2,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,1,6,5,3,8,2]=>[5,2,8,3,4,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,6,3,7,8,2]=>[5,8,4,3,6,2,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,1,7,4,8,3,2]=>[4,3,8,2,5,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,5,6,4,8,2,3]=>[8,2,4,3,5,1,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,8,5,7,3,1,6]=>[7,5,1,4,2,6,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,6,7,1,2,8,5]=>[5,6,3,2,8,7,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,8,6,3,7,1,4]=>[7,4,1,3,6,2,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,7,3,4,6,1,8]=>[7,4,2,6,5,3,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,4,8,1,3,6,7]=>[7,4,5,1,8,6,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,2,5,3,1,6,8,4]=>[2,7,4,6,8,3,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,6,1,2,7,5,4]=>[1,6,3,8,7,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,3,5,4,7,8,1,6]=>[7,6,4,5,2,1,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,3,5,2,7,8,1,6]=>[5,6,4,7,2,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,6,4,5,8,1,3]=>[2,7,3,5,4,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,1,4,7,6,8,3,5]=>[7,8,5,2,3,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,2,7,6,8,3,5]=>[5,8,7,2,3,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,6,5,4,8,1,3]=>[2,7,3,4,5,1,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,2,3,7,8,1,6]=>[5,4,7,6,2,1,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,2,7,8,1,6]=>[4,6,5,7,2,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,4,6,1,8,2,7]=>[4,6,5,3,8,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,8,5,1,2,6,3]=>[5,2,1,4,8,7,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,1,6,8,7,2,5,3]=>[5,8,3,1,2,7,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,4,8,6,5,2,1]=>[2,6,5,1,3,4,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,3,5,8,4,1,7,6]=>[7,6,4,1,5,8,2,3]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,2,4,1,3,8,6,5]=>[2,7,5,8,6,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,3,5,2,8,7,4]=>[3,8,6,4,7,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,1,5,3,8,6,4]=>[7,2,8,4,6,1,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,6,5,2,3,1,8]=>[2,5,3,4,7,6,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,7,2,8,4,1,6]=>[6,4,2,7,1,5,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,8,5,1,7,6]=>[7,5,6,1,4,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,8,2,3,1,6,5]=>[2,5,1,7,6,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,7,3,5,1,8,6]=>[5,7,2,6,4,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,6,1,8,4,5,3]=>[2,7,3,8,1,5,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,7,2,4,8,5,3]=>[3,8,2,7,5,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,6,7,1,4,5,8,3]=>[7,3,2,8,5,4,1,6]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,3,4,6,2,5,8,1]=>[2,6,5,3,7,4,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,1,6,8,3,4,2]=>[4,2,8,3,1,6,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,7,3,5,8,4,2]=>[8,3,2,6,4,1,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,1,5,7,6,4,3]=>[7,1,8,4,2,3,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,1,2,5,7,6,4,3]=>[1,8,7,4,2,3,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,2,5,8,6,4,3]=>[2,8,7,4,1,3,5,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,1,3,8,2,6,4,5]=>[2,8,6,1,7,3,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,8,3,6,7,1,4]=>[7,4,1,6,3,2,8,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,8,5,4,7,1,3]=>[7,3,1,4,5,2,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,7,6,1,3,8,5]=>[7,5,2,3,8,6,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,2,6,7,1,4,3,8]=>[4,7,3,2,8,5,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,5,7,6,3,8]=>[7,5,8,4,2,3,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,5,3,4,7,1,8]=>[3,7,4,6,5,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,8,3,1,5,2,7]=>[3,5,1,6,8,4,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,3,4,1,5,8,6]=>[7,2,6,5,8,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,4,3,5,2,6,7]=>[8,1,5,6,4,7,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,8,1,6,7,3,4]=>[7,4,1,8,3,2,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,7,2,5,6,3,8]=>[5,8,2,7,4,3,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,7,2,6,5,3,4,8]=>[8,2,7,3,4,6,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,1,7,4,3,5,8]=>[7,3,8,2,5,6,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,6,8,3,5,1,7]=>[5,7,3,1,6,4,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,8,5,4,1,7,2]=>[3,6,1,4,5,8,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,2,8,3,4,5,1,7]=>[3,7,1,6,5,4,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,6,2,4,3,1,7]=>[4,1,3,7,5,6,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,2,6,4,5,1,7]=>[6,1,7,3,5,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,4,6,5,1,7]=>[7,1,6,5,3,4,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,8,7,4,1,5,2]=>[6,3,1,2,5,8,4,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,1,5,8,2,4,3,6]=>[2,8,4,1,7,5,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,5,6,2,4,3,8]=>[8,2,4,3,7,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,5,1,6,8,2]=>[5,2,6,4,8,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,1,8,2,5,7,4]=>[6,3,8,1,7,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,4,6,8,2,1,5]=>[2,6,5,3,1,7,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,7,2,8,4,6]=>[4,8,6,2,7,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,4,6,1,7,8,3]=>[4,7,5,3,8,2,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,4,6,1,5,7,2]=>[6,1,5,3,8,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,4,1,2,5,8,7]=>[6,3,5,8,7,4,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,2,7,1,4,3,6,8]=>[4,7,2,8,5,6,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,3,1,4,6,8,7]=>[4,7,6,8,5,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,2,7,1,3,5,8,6]=>[5,7,2,8,6,4,1,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,4,1,6,2,8,7]=>[6,4,5,8,3,7,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,2,8,3,1,6]=>[5,4,2,7,1,6,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,1,7,6,2,8,4]=>[6,4,8,2,3,7,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,7,3,1,8,2,5]=>[5,3,2,6,8,1,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,3,6,2,7,5,4,1]=>[1,6,3,7,2,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,1,7,6,5,3,2,8]=>[5,8,2,3,4,6,7,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,3,6,7,1,8,5,4]=>[7,6,3,2,8,1,4,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,6,1,2,7,8,5,4]=>[6,3,8,7,2,1,4,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,1,8,7,6,3,2]=>[5,4,8,1,2,3,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,1,3,6,7,5,2,8]=>[5,8,6,3,2,4,7,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,4,5,7,6,2,8]=>[6,8,5,4,2,3,7,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,3,6,8,7,2]=>[5,4,8,6,3,1,2,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,8,5,1,2,4,6,7]=>[6,1,4,8,7,5,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [5,8,4,1,2,3,6,7]=>[4,1,5,8,7,6,3,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [2,8,5,7,1,4,3,6]=>[7,1,4,2,8,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,7,5,1,2,3,6]=>[5,1,2,4,8,7,6,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,1,2,7,8,4,3,5]=>[3,8,7,2,1,5,6,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,2,5,3,4,6]=>[2,1,8,7,4,6,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,4,7,2,1,6,3,5]=>[1,5,2,7,8,3,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,8,2,1,6,7,3]=>[5,4,1,7,8,3,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,1,6,7,5,2,4,8]=>[6,8,3,2,4,7,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,1,5,3,6,7,2]=>[5,1,8,4,6,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,7,5,2,6,3,8]=>[5,8,2,4,7,3,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,5,3,6,8,2,4]=>[2,8,4,6,3,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,5,3,6,7,2,4]=>[1,8,4,6,3,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,7,5,4,6,8,2,3]=>[8,2,4,5,3,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,8,2,5,6,1,3]=>[5,2,1,7,4,3,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,2,6,1,8,3,7]=>[5,4,7,3,8,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,6,8,3,4,2]=>[2,8,4,3,1,6,5,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,6,7,3,4,2]=>[4,8,1,3,2,6,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,2,6,7,1,3]=>[1,5,4,7,3,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,6,5,7,4,2,3]=>[8,1,3,4,2,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,5,3,7,4,1,2]=>[3,1,4,6,2,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,2,4,1,5,7]=>[3,1,6,7,5,8,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,7,5,4,8,3]=>[7,3,8,2,4,5,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,8,2,1,3,6,7]=>[4,5,1,7,8,6,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,2,8,3,1,4,5,6]=>[2,7,1,6,8,5,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,8,1,7,4,3,5,6]=>[7,1,8,2,5,6,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,3,2,7,5,4,6]=>[1,8,6,7,2,4,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,4,6,3,1,8,5]=>[2,7,5,3,6,8,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,1,7,2,5,8,3]=>[5,3,8,2,7,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,2,3,7,1,5,6]=>[5,1,7,6,2,8,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,7,8,6,5,4,2]=>[6,8,2,1,3,4,5,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,8,4,2,1,6,3,7]=>[4,1,5,7,8,3,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,6,7,1,2,5,4,3]=>[1,3,2,8,7,4,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,4,1,2,8,5,3]=>[3,2,5,8,7,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,7,8,2,5,1,3]=>[5,3,2,1,7,4,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,5,7,1,3,2,4,8]=>[3,4,2,8,6,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,1,7,4,5,3,8]=>[7,3,8,2,5,4,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,8,4,3,6,1,5]=>[2,7,1,5,6,3,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,8,6,4,5,1,3]=>[7,2,1,3,5,4,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,6,3,5,8,2,7,4]=>[8,3,6,4,1,7,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,4,8,6,2,3]=>[8,2,4,5,1,3,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,3,4,7,6,1,2]=>[4,1,6,5,2,3,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,2,8,5,6,7,3]=>[8,5,7,1,4,3,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,5,1,8,6,7,3]=>[7,5,4,8,1,3,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,3,2,8,5,4,1]=>[3,2,6,7,1,4,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,7,3,2,5,4,1]=>[3,1,2,6,7,4,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,6,2,1,7,3,4,8]=>[4,3,7,8,2,6,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,6,3,2,7,1,5]=>[5,1,3,6,7,2,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,5,3,6,1,2,7]=>[5,1,4,6,3,8,7,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,6,3,5,2,1,7]=>[5,1,3,6,4,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,8,6,3,2,7,1,4]=>[4,1,3,6,7,2,8,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,6,3,2,4,8,1]=>[4,2,3,6,7,5,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,3,2,8,6,4,1]=>[4,2,6,7,1,3,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,6,5,8,2,7,1,3]=>[5,3,4,1,7,2,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,8,3,7,6,2]=>[5,4,8,1,6,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,1,6,8,2,7,3]=>[5,4,8,3,1,7,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,1,7,8,3,2,6]=>[5,4,8,2,1,6,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,7,2,4,8,5]=>[8,3,6,2,7,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,8,4,6,1,2,7]=>[6,4,1,5,3,8,7,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,8,1,5,6,2,7]=>[5,6,1,8,4,3,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,3,1,6,2,5,8]=>[5,2,6,8,3,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,4,7,1,3,6,8]=>[7,4,5,2,8,6,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,1,7,4,6,2,5,8]=>[6,8,2,5,3,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,1,5,7,2,4,8]=>[6,3,8,4,2,7,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,7,1,6,2,5,8]=>[5,6,2,8,3,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,7,6,1,3,5,8]=>[7,5,2,3,8,6,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,2,5,4,1,3,7,8]=>[3,7,4,5,8,6,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,2,6,5,1,4,7,8]=>[6,7,3,4,8,5,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,3,6,2,1,5,7,8]=>[5,6,3,7,8,4,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,1,5,8,4,2,3,7]=>[3,8,4,1,5,7,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,1,4,8,6,7,3]=>[7,4,8,5,1,3,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,4,1,3,7,6,8]=>[7,4,5,8,6,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,4,1,3,7,6,8]=>[4,7,5,8,6,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,2,1,3,7,6,8]=>[5,4,7,8,6,2,3,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,8,1,5,2,3,6]=>[5,2,1,8,4,7,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,2,8,1,6,4,3,7]=>[4,7,1,8,3,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,3,1,4,7,6,8]=>[4,7,6,8,5,2,3,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,4,6,1,3,8,5]=>[2,7,5,3,8,6,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,7,4,1,6,5,3]=>[1,7,2,5,8,3,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,5,4,8,6,3,7]=>[7,8,4,5,1,3,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,8,4,1,6,5,7]=>[6,7,1,5,8,3,4,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,5,4,6,1,8,2]=>[6,2,4,5,3,8,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,4,1,5,8,2]=>[6,2,3,5,8,4,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,7,6,4,8,1,5,2]=>[6,2,3,5,1,8,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,7,6,3,4,1,5]=>[1,7,2,3,6,5,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,2,8,3,5,7,6]=>[5,8,7,1,6,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,4,1,2,7,8]=>[3,6,4,5,8,7,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,6,5,4,2,8,3]=>[2,8,3,4,5,7,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,2,6,5,1,4,3,8]=>[2,7,3,4,8,5,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,8,4,2,3,6,5]=>[2,8,1,5,7,6,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,6,4,5,1,8,3]=>[7,2,3,5,4,8,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,6,4,3,8,2]=>[8,2,4,3,5,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,4,6,2,5,1,8]=>[2,6,5,3,7,4,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,2,3,6,4,1,8]=>[4,2,7,6,3,5,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,8,1,7,3,5,2]=>[5,3,1,8,2,6,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,7,4,1,3,5]=>[3,1,7,2,5,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,4,5,7,2,6,3]=>[1,8,5,4,2,7,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,3,7,1,4,5,2]=>[3,1,6,2,8,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,2,6,4,1,5,7]=>[6,1,7,3,5,8,4,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,1,5,7,4,2,6]=>[6,1,8,4,2,5,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,3,7,1,4,5,2,6]=>[1,6,2,8,5,4,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,7,1,4,5,3,6]=>[1,7,2,8,5,4,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,5,7,2,6,3,4]=>[1,8,4,2,7,3,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,1,6,7,4,5]=>[7,1,6,8,3,2,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,6,8,2,1,7,3]=>[5,4,3,1,7,8,2,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,6,8,1,3,7,2]=>[5,4,3,1,8,6,2,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,5,8,3,2,1,7,6]=>[5,4,1,6,7,8,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,5,1,3,2,6,7,8]=>[5,4,8,6,7,3,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,3,2,1,6,5,8]=>[5,2,6,7,8,3,4,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,3,2,1,6,7,5]=>[5,1,6,7,8,3,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,2,8,1,4,6,7,3]=>[4,7,1,8,5,3,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,6,3,7,8,1,4,2]=>[4,3,6,2,1,8,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,4,3,6,2,8]=>[4,2,8,5,6,3,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,7,1,5,4,8]=>[3,7,6,2,8,4,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,8,1,5,4,7,3]=>[3,7,1,8,4,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,3,4,5,6,2,8]=>[2,8,6,5,4,3,7,1]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,5,1,3,6,4,8]=>[2,7,4,8,6,3,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,5,1,3,8,6,4]=>[2,7,4,8,6,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,6,2,1,8,7,4,5]=>[6,3,7,8,1,2,5,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,5,7,2,4,3]=>[8,3,1,4,2,7,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,4,6,2,5,3,1]=>[2,1,5,3,7,4,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,6,5,4,1,3,8]=>[2,7,3,4,5,8,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,6,8,7,5,4,2,3]=>[8,3,1,2,4,5,7,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,3,6,7,5,2,4,8]=>[8,6,3,2,4,7,5,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,2,6,8,7,3,4]=>[8,4,7,3,1,2,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,4,1,3,2,7,5]=>[3,1,5,8,6,7,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,2,4,3,7,8]=>[3,8,4,7,5,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,4,7,2,1,6,8]=>[4,6,5,2,7,8,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,8,1,4,7,2,3]=>[3,4,1,8,5,2,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,6,5,4,1,7,2]=>[1,6,3,4,5,8,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,7,3,5,4,1,8,2]=>[3,2,6,4,5,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,8,6,1,2,3]=>[4,5,2,1,3,8,7,6]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,2,4,5,3,6,8]=>[2,8,7,5,4,6,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,2,4,5,8,1,3,6]=>[2,7,5,4,1,8,6,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,1,2,8,6,5]=>[5,2,6,8,7,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,5,7,1,2,3,6]=>[5,1,4,2,8,7,6,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,2,5,8,1,3,7,4]=>[3,7,4,1,8,6,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,5,1,4,6,8,3]=>[7,2,4,8,5,3,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,8,6,4,3,1,2,7]=>[4,1,3,5,6,8,7,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,2,5,1,7,8,3,4]=>[3,7,4,8,2,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,4,3,1,2,8,5]=>[3,2,5,6,8,7,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,2,3,7,6,1,8,5]=>[5,7,6,2,3,8,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,3,1,5,7,8]=>[5,7,3,6,8,4,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,6,2,3,8,4,7,5]=>[8,3,7,6,1,5,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,7,1,3,5,6,4]=>[1,7,2,8,6,4,3,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,2,3,1,4,7,6]=>[4,1,7,6,8,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,2,1,3,4,6,8]=>[4,2,7,8,6,5,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,2,8,7,3,5,6,4]=>[8,7,1,2,6,4,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,3,8,5,2,6,4,7]=>[8,6,1,4,7,3,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,6,4,3,2,5,8]=>[2,8,3,5,6,7,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,6,3,2,5,8,7,1]=>[5,3,6,7,4,1,2,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,6,3,2,5,7,8]=>[8,5,3,6,7,4,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,1,6,4,3,2,8,5]=>[2,8,3,5,6,7,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,6,3,2,7,5,8,1]=>[5,3,6,7,2,4,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,3,2,6,1,7]=>[4,1,5,6,7,3,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,3,6,5,2,4,8,7]=>[8,6,3,4,7,5,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,3,2,7,1,5,8]=>[5,3,6,7,2,8,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,7,4,8,6,2,3]=>[8,4,2,5,1,3,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,5,7,3,8,2,4]=>[3,8,4,2,6,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,5,4,7,8,2,3]=>[8,3,4,5,2,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,1,7,8,6,4]=>[7,6,4,8,2,1,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,3,4,1,6,8,5]=>[7,2,6,5,8,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,7,8,6,4,3,5]=>[8,7,2,1,3,5,6,4]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,7,8,6,2,1,3,5]=>[5,2,1,3,7,8,6,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [8,6,7,1,5,4,2,3]=>[1,3,2,8,4,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,4,1,7,6,8,3]=>[4,7,5,8,2,3,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,8,6,7,4,2,5]=>[6,8,1,3,2,5,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,7,6,2,4,1,3]=>[1,4,2,3,7,5,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,6,8,5,2,3,4]=>[8,2,3,1,4,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,1,3,4,8,6,2]=>[4,2,8,6,5,1,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,3,4,8,7,6,2]=>[4,8,6,5,1,2,3,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,4,6,5,1,8,3]=>[2,7,5,3,4,8,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,7,6,2,1,8,3]=>[5,4,2,3,7,8,1,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,8,7,2,3,1,6,5]=>[5,1,2,7,6,8,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,8,1,2,4,3,7]=>[4,3,1,8,7,5,6,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,4,7,6,1,2,5]=>[6,1,5,2,3,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,8,5,3,7,2,4]=>[8,3,1,4,6,2,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,2,8,3,1,4,7]=>[4,3,7,1,6,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,4,5,7,8,3,1,6]=>[7,5,4,2,1,6,8,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,5,4,7,1,8,2,6]=>[6,4,5,2,8,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,7,5,1,8,4]=>[6,7,3,2,4,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,6,7,5,1,2,8]=>[6,5,3,2,4,8,7,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,6,7,3,4,1,8]=>[7,4,3,2,6,5,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,3,5,7,1,8,2,6]=>[5,6,4,2,8,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,4,3,8,7,1,6]=>[7,4,5,6,1,2,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,6,4,1,8,3,7]=>[4,7,3,5,8,1,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,6,4,7,1,3,8]=>[4,7,3,5,2,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,2,5,7,1,3,8]=>[5,3,7,4,2,8,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,6,7,3,1,8,4]=>[7,4,3,2,6,8,1,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,7,1,3,6,2,8]=>[5,4,2,8,6,3,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,5,6,1,2,4,8]=>[6,2,4,3,8,7,5,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,2,8,6,5,3,1]=>[5,2,7,1,3,4,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,7,8,3,6,2,4,1]=>[4,2,1,6,3,7,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,1,6,8,5,4]=>[2,7,6,8,3,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,2,3,1,6,8,4,5]=>[2,7,6,8,3,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,8,6,2,1,3,4]=>[4,2,1,3,7,8,6,5]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,1,8,2,5,6,3,7]=>[5,8,1,7,4,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,7,5,1,3,4,8]=>[7,3,2,4,8,6,5,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,2,3,1,5,7,4,8]=>[3,7,6,8,4,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,8,1,6,2,3,4]=>[4,2,1,8,3,7,6,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,8,6,4,3,1,2]=>[4,2,1,3,5,6,8,7]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,5,4,3,8,2,6,7]=>[8,4,5,6,1,7,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,4,3,7,2,6,8]=>[8,4,5,6,2,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,8,7,2,6,4]=>[8,4,6,1,2,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,4,2,7,3,8,5]=>[8,3,5,7,2,6,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,2,5,8,6,3,7]=>[8,5,7,4,1,3,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,2,7,5,4,3,8]=>[8,3,7,2,4,5,6,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,8,7,1,5,3,2]=>[3,5,1,2,8,4,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,8,2,1,5,7,3,6]=>[5,1,7,8,4,2,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,7,1,6,3,4,8]=>[4,7,2,8,3,6,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,2,5,1,6,3,7]=>[5,1,7,4,8,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,2,4,6,3,7]=>[4,1,8,7,5,3,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,1,7,3,6,4,2,8]=>[4,8,2,6,3,5,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,7,5,6,1,4,8]=>[6,7,2,4,3,8,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,7,1,6,4,5,8]=>[6,7,2,8,3,5,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,4,8,5,6,2,1]=>[2,6,5,1,4,3,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,8,4,5,2,1]=>[2,6,3,1,5,4,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,5,7,8,4,3,1]=>[3,7,4,2,1,5,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,6,3,2,4,8,7,1]=>[4,3,6,7,5,1,2,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,2,8,3,1,7,4]=>[4,3,7,1,6,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,2,4,3,1,7,8]=>[4,3,7,5,6,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,7,6,2,4,3,8,1]=>[4,2,3,7,5,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,6,3,4,1,8]=>[4,2,7,3,6,5,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,5,8,3,2,4]=>[3,8,2,4,1,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,3,4,8,5,2,7]=>[3,8,6,5,1,4,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,2,4,3,8,1,6]=>[4,2,7,5,6,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,3,2,4,6,8,1]=>[4,2,6,7,5,3,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,1,2,6,5,4,8,3]=>[2,8,7,3,4,5,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,7,5,6,2,8,3]=>[8,5,2,4,3,7,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,8,2,3,6,1]=>[5,4,2,1,7,6,3,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,4,5,7,8,2,1,6]=>[6,5,4,2,1,7,8,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,3,4,7,2,6,8,5]=>[8,6,5,2,7,3,1,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,6,5,2,8,4,3,7]=>[8,3,4,7,1,5,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,2,8,5,1,6,4]=>[6,2,7,1,4,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,5,7,1,2,8,4]=>[6,3,4,2,8,7,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,6,2,5,4,3,7]=>[8,1,3,7,4,5,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,6,8,4,2,7,5]=>[8,6,3,1,5,7,2,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,6,5,8,2,7,3,4]=>[8,3,4,1,7,2,6,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,2,3,8,1,7,5]=>[5,3,7,6,1,8,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,8,4,7,3,1,5]=>[3,7,1,5,2,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,7,5,1,8,3,2]=>[3,5,2,4,8,1,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,4,8,3,7,6,1]=>[4,7,5,1,6,2,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,6,8,3,5,4,1,2]=>[2,3,1,6,4,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,4,8,3,1,6,7]=>[4,7,5,1,6,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,7,5,3,1,6,2]=>[1,5,2,4,6,8,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,3,8,4,1,7,5,2]=>[3,6,1,5,8,2,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,4,5,1,8,6,2,3]=>[2,5,4,8,1,3,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,6,2,8,7,3,4]=>[8,4,3,7,1,2,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,1,2,7,5,4]=>[3,1,6,8,7,2,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,8,3,6,4,1,5]=>[7,2,1,6,3,5,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,4,7,6,2,1,5]=>[6,1,5,2,3,7,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,5,7,6,3,2,4]=>[1,8,4,2,3,6,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,6,7,5,3,2,4]=>[8,1,3,2,4,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,8,6,1,7,4,3]=>[4,7,1,3,8,2,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,7,1,3,8,4,5]=>[3,7,2,8,6,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,8,3,1,6,5,2]=>[2,5,1,6,8,3,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,8,4,2,7,6,3,1]=>[4,1,5,7,2,3,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,8,4,2,7,6,1,3]=>[4,1,5,7,2,3,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,1,5,2,6,3]=>[5,2,1,8,4,7,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,8,2,3,7,1,6]=>[4,5,1,7,6,2,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,1,5,8,3,7,4]=>[7,3,8,4,1,6,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,6,3,5,4,2,7]=>[1,8,3,6,4,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,2,5,3,6,4,7]=>[1,8,7,4,6,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,5,3,6,8,4,1]=>[2,7,4,6,3,1,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,7,4,6,3,1,5,8]=>[7,2,5,3,6,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,4,8,6,5,3,1]=>[2,7,5,1,3,4,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,1,5,3,7,6,2,4]=>[1,8,4,6,2,3,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,8,1,3,4,7,5]=>[7,3,1,8,6,5,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,3,5,7,6,1,4,8]=>[7,6,4,2,3,8,5,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,6,8,2,5,4,1,7]=>[6,3,1,7,4,5,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,3,6,4,7,8,1]=>[4,7,6,3,5,2,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,8,7,3,5,1,2]=>[3,5,1,2,6,4,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,4,2,3,5,7,8]=>[3,8,5,7,6,4,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,2,6,1,3,8,4,7]=>[4,7,3,8,6,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,2,7,8,3,6,1]=>[5,4,7,2,1,6,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,5,3,7,1,6,8]=>[7,5,4,6,2,8,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,5,7,1,6,8]=>[6,7,5,4,2,8,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,4,3,8,6,5,2]=>[2,8,5,6,1,3,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,7,6,3,8,2,4,1]=>[4,2,3,6,1,7,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,4,7,1,2,5,3]=>[3,1,5,2,8,7,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,7,6,8,4,5,2]=>[8,6,2,3,1,5,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,5,7,2,8,3,4]=>[3,8,4,2,7,1,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,7,2,5,6,3,4]=>[8,1,2,7,4,3,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,2,6,7,4,3,5]=>[8,1,7,3,2,5,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,4,8,7,6,1,3]=>[7,4,5,1,2,3,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,8,7,6,3,5,4,2]=>[8,1,2,3,6,4,5,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,5,7,6,4,3,2]=>[8,1,4,2,3,5,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,2,4,1,8,5,3,6]=>[2,7,5,8,1,4,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,3,5,8,6,2,7]=>[8,5,6,4,1,3,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,8,5,6,1,3,7]=>[5,7,1,4,3,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,4,3,5,7,2,8,6]=>[8,5,6,4,2,7,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,1,4,6,8,5]=>[6,2,7,8,5,3,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,2,6,1,8,3,5]=>[5,2,7,3,8,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,5,3,2,1,7,4]=>[3,1,4,6,7,8,2,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,2,4,1,7,8,3,5]=>[3,7,5,8,2,1,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,3,2,1,5,8,4]=>[3,2,6,7,8,4,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,6,7,3,2,1,5,4]=>[1,3,2,6,7,8,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,4,8,3,2,6,7,5]=>[8,5,1,6,7,3,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,2,6,1,3,7,4,5]=>[1,7,3,8,6,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,7,5,3,6,2,4,8]=>[8,2,4,6,3,7,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,6,1,3,5,8,2]=>[2,5,3,8,6,4,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,8,1,3,4,2,5,7]=>[3,1,8,6,5,7,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,3,5,2,4,8,7]=>[3,8,6,4,7,5,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,7,8,1,3,6]=>[5,7,4,2,1,8,6,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,6,2,5,7,4,8]=>[8,6,3,7,4,2,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,4,6,3,5,7,1]=>[7,1,5,3,6,4,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,1,3,6,2,5,7]=>[5,1,8,6,3,7,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,6,8,1,4,7,2,5]=>[6,3,1,8,5,2,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,4,7,8,2,5]=>[6,3,8,5,2,1,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,6,2,5,7,8]=>[5,8,6,3,7,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,4,6,1,2,5,7]=>[6,1,5,3,8,7,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,5,3,6,8,1,4,7]=>[7,4,6,3,1,8,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,7,1,3,6,4,8]=>[7,4,2,8,6,3,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,3,5,7,4,6,1]=>[7,1,6,4,2,5,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,2,5,3,6,8]=>[8,5,2,7,4,6,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,3,1,2,6,8,7]=>[5,4,6,8,7,3,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,1,3,8,2,6,7]=>[5,4,8,6,1,7,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,5,1,4,2,6,8]=>[2,6,4,8,5,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,3,6,7,1,5,8]=>[7,5,6,3,2,8,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,3,5,2,1,6,4,8]=>[2,6,4,7,8,3,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,5,2,1,3,7,8]=>[5,3,4,7,8,6,2,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,5,6,1,4,3,7,8]=>[7,4,3,8,5,6,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,3,7,2,4,8]=>[3,8,4,6,2,7,5,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,5,4,1,7,2,8]=>[6,3,4,5,8,2,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,8,7,5,4,2,1,3]=>[3,1,2,4,5,7,8,6]=>[1,6,1]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [1,7,8,2,4,6,3,5]=>[8,2,1,7,5,3,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,1,8,4,3,7,2]=>[4,3,8,1,5,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,2,6,7,5,4,3]=>[8,1,7,3,2,4,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,7,3,6,2,8,5,1]=>[5,2,6,3,7,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,8,3,4,7,6,2]=>[4,8,1,6,5,2,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,8,3,5,7,6,2]=>[5,8,1,6,4,2,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,4,7,6,2,5,1]=>[6,1,5,2,3,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,2,6,7,5,3,4]=>[8,1,7,3,2,4,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,1,4,3,5,8]=>[2,7,3,8,5,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,6,1,2,4,5,7]=>[6,1,3,8,7,5,4,2]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [2,8,1,6,5,3,4,7]=>[7,1,8,3,4,6,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,5,3,2,7,4,6]=>[8,1,4,6,7,2,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,4,7,2,3,5,6]=>[8,1,5,2,7,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,1,8,7,2,5,4,6]=>[6,8,1,2,7,4,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,1,6,2,5,4,7]=>[6,1,8,3,7,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,1,4,2,7,6,5]=>[6,1,8,5,7,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,8,1,7,5,4,6]=>[6,7,1,8,2,4,5,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,5,6,2,3,4,8]=>[2,8,4,3,7,6,5,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,8,2,7,3,4,5]=>[8,3,1,7,2,6,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,7,2,3,4,8]=>[3,8,4,2,7,6,5,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,8,6,5,7,3,4,1]=>[7,1,3,4,2,6,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,3,7,1,4,8]=>[7,4,3,6,2,8,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,6,7,8,5,2]=>[5,8,6,3,2,1,4,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,5,7,3,2,4,8]=>[8,3,4,2,6,7,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,6,5,7,2,4,1]=>[1,6,3,4,2,7,5,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,2,6,7,8,5,3]=>[5,8,7,3,2,1,4,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,6,1,5,8,3,2,7]=>[5,3,8,4,1,6,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,7,1,8,4,6,3]=>[7,4,2,8,1,5,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,5,4,3,2,7]=>[3,1,8,4,5,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,5,8,1,3,4,6,2]=>[2,4,1,8,6,5,3,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,2,6,1,4,8,5,3]=>[2,7,3,8,5,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,7,8,1,4,6,5,3]=>[7,2,1,8,5,3,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,2,4,5,7,8,1]=>[6,3,7,5,4,2,1,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [3,7,8,2,1,4,5,6]=>[6,2,1,7,8,5,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [8,4,7,1,3,5,6,2]=>[1,5,2,8,6,4,3,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,8,3,5,6,2,1,7]=>[5,1,6,4,3,7,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,3,5,6,2,7,1]=>[5,1,6,4,3,7,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,8,6,7,2,4,5,3]=>[8,1,3,2,7,5,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,8,1,4,3,6,2]=>[4,2,1,8,5,6,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,8,1,5,2,6,4]=>[6,2,1,8,4,7,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,6,2,4,5,3]=>[8,2,1,3,7,5,4,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,6,8,5,1,3,4,2]=>[2,3,1,4,8,6,5,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,7,1,4,5,8,2]=>[6,3,2,8,5,4,1,7]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,8,5,6,3,4,7,2]=>[8,1,4,3,6,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,4,6,3,7,2,8]=>[4,8,5,3,6,2,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,6,5,2,3,7,8]=>[8,5,3,4,7,6,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,5,4,7,8,3,6,2]=>[8,4,5,2,1,6,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,8,5,7,3,6,2]=>[8,5,1,4,2,6,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,7,8,3,6,1]=>[4,7,5,2,1,6,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,1,2,7,5,4]=>[6,1,3,8,7,2,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,1,5,6,2,3,7]=>[5,1,8,4,3,7,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,8,5,3,7,2,6]=>[5,8,1,4,6,2,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,4,3,7,2,8,5]=>[3,8,5,6,2,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,4,1,7,3,8,2]=>[4,3,5,8,2,6,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,8,5,4,2,1,6]=>[6,2,1,4,5,7,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,1,4,5,8,6,3,2]=>[2,8,5,4,1,3,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,4,5,6,8,3,1]=>[2,7,5,4,3,1,6,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,4,5,6,8,3,1]=>[7,2,5,4,3,1,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,7,4,3,1,6,8,2]=>[4,2,5,6,8,3,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,4,7,8,3,1,6,5]=>[7,5,2,1,6,8,3,4]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,7,4,5,8,1,6,2]=>[6,2,5,4,1,8,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,5,6,8,2,7]=>[8,5,6,4,3,1,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,6,5,8,2,7,3]=>[8,5,3,4,1,7,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,7,3,2,8,5]=>[5,3,8,2,6,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,3,6,4,2,8,5]=>[8,2,6,3,5,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,3,5,1,2,8,6]=>[5,2,6,4,8,7,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,2,3,5,8,7]=>[8,3,5,7,6,4,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,3,5,2,1,6,7]=>[5,1,6,4,7,8,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,8,4,7,5,3,2]=>[8,3,1,5,2,4,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,2,1,3,7,5,4]=>[3,1,7,8,6,2,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,2,3,6,7,5,4,1]=>[1,7,6,3,2,4,5,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,8,7,1,3,5,4,6]=>[7,1,2,8,6,4,5,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,8,2,4,5,3,6]=>[2,8,1,7,5,4,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,8,2,3,4,1,6]=>[4,2,1,7,6,5,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,1,2,8,7,3,4]=>[4,3,8,7,1,2,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,5,7,2,3,8,1,4]=>[3,4,2,7,6,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,5,4,6,2,1,8]=>[6,2,4,5,3,7,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,7,5,3,6,8,2]=>[8,5,2,4,6,3,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,1,7,5,2,6,3,4]=>[1,8,2,4,7,3,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,8,2,7,6,3,5]=>[5,8,1,7,2,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,5,1,7,6,2,4]=>[6,1,4,8,2,3,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,7,6,2,1,4]=>[6,1,4,2,3,7,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,7,3,6,4,1,5]=>[1,7,2,6,3,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,6,4,8,3,1,5]=>[7,2,3,5,1,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,7,5,8,4,1]=>[7,3,6,2,4,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,3,5,6,1,7,4]=>[7,1,6,4,3,8,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,4,7,3,6,8]=>[4,8,7,5,2,6,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,3,5,2,4,7,8]=>[3,8,6,4,7,5,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,3,2,6,5,1,8]=>[5,2,6,7,3,4,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,7,8,2,1,6,5]=>[5,6,2,1,7,8,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,7,2,1,5,6,3]=>[5,1,2,7,8,4,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,3,8,2,5,1,6,4]=>[2,6,1,7,4,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,3,8,6,1,2,7]=>[5,4,6,1,3,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,5,8,4,1,2,7]=>[3,6,4,1,5,8,7,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,3,8,4,5,1,2,6]=>[2,6,1,5,4,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,7,5,1,2,6,3]=>[5,1,2,4,8,7,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,8,4,6,1,3,5,2]=>[2,1,5,3,8,6,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,7,5,1,3,6,2]=>[5,1,2,4,8,6,3,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,5,3,6,8,1,2,7]=>[5,4,6,3,1,8,7,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,8,6,2,1,4,3,5]=>[2,1,3,7,8,5,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,8,6,3,1,2,5,4]=>[2,1,3,6,8,7,4,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,7,6,4,1,5,2,8]=>[6,2,3,5,8,4,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,3,1,4,7,2,6]=>[4,1,6,8,5,2,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,1,2,5,8,7,6,4]=>[6,8,7,4,1,2,3,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,3,7,6,4,1,2,5]=>[1,6,2,3,5,8,7,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,3,8,6,2,1,5,7]=>[5,6,1,3,7,8,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,6,8,5,2,3,1,7]=>[5,3,1,4,7,6,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,1,3,5,7,2,8,6]=>[5,8,6,4,2,7,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,8,2,4,6,3,7]=>[4,8,1,7,5,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,2,1,4,5,3,7]=>[3,1,7,8,5,4,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,7,3,6,8,5,1]=>[5,7,2,6,3,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,5,8,6,7,2,4]=>[6,8,4,1,3,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,2,1,4,5,7,3]=>[3,1,7,8,5,4,2,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,4,8,7,3,2,6]=>[8,4,5,1,2,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,4,6,7,3,1,8]=>[4,7,5,3,2,6,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,1,3,5,8,2,6]=>[5,2,8,6,4,1,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,7,3,6,4,8]=>[7,4,8,2,6,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,5,1,4,3,8,6]=>[7,2,4,8,5,6,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,1,5,8,2,7]=>[6,3,5,8,4,1,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,2,4,3,6,8,5]=>[2,8,7,5,6,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,6,1,4,5,8,2]=>[2,6,3,8,5,4,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,4,5,8,3,6,2]=>[2,8,5,4,1,6,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,6,5,1,2,4,8]=>[2,6,3,4,8,7,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,5,8,1,2,4,3,6]=>[2,4,1,8,7,5,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,2,4,3,6,5,8]=>[2,8,7,5,6,3,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,8,1,2,4,6,3]=>[2,4,1,8,7,5,3,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,5,8,1,4,2,6,7]=>[6,4,1,8,5,7,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,6,8,7,1,2]=>[4,6,5,3,1,2,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,8,5,1,2,6,7]=>[6,5,1,4,8,7,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,8,3,1,2,6,7,4]=>[4,1,6,8,7,3,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,1,6,3,4,8,2]=>[4,2,8,3,6,5,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,1,6,7,4,8]=>[6,4,7,8,3,2,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,5,2,8,7,4,3]=>[3,8,4,7,1,2,5,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,6,1,5,8,7,4,3]=>[7,3,8,4,1,2,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,2,5,1,4,3,7,8]=>[3,7,4,8,5,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,4,7,5,3,2,8]=>[3,8,5,2,4,6,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,2,1,7,3,6,8]=>[5,4,7,8,2,6,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,2,8,4,7,6,5]=>[6,8,7,1,5,2,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,7,1,3,2,8]=>[4,5,3,2,8,6,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,3,8,5,2,6]=>[2,8,5,6,1,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,1,8,6,3,2,7]=>[5,4,8,1,3,6,7,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,4,6,3,1,2,7,5]=>[1,5,3,6,8,7,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,6,4,1,5,7,2]=>[6,1,3,5,8,4,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,6,4,5,1,7,2]=>[6,1,3,5,4,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,3,5,7,1,2,8]=>[5,3,6,4,2,8,7,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,3,5,8,6,1,2]=>[5,2,6,4,1,3,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,3,5,6,1,2,7]=>[5,1,6,4,3,8,7,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,5,6,8,1,3]=>[5,2,7,4,3,1,8,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,4,7,2,6,5,8,3]=>[8,5,2,7,3,4,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,2,6,4,8,3]=>[8,4,2,7,3,5,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,6,1,8,3,5]=>[2,7,5,3,8,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,6,2,1,8,3,7]=>[5,4,3,7,8,1,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,2,7,8,3,5,4,6]=>[8,7,2,1,6,4,5,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,1,4,5,8,2,3,7]=>[3,8,5,4,1,7,6,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,6,2,8,5,4,3]=>[8,2,3,7,1,4,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,6,8,3,4,2,5]=>[8,2,3,1,6,5,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,5,8,3,2,6]=>[2,8,5,4,1,6,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,7,8,6,5,2]=>[6,5,8,2,1,3,4,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,4,8,6,5,7,1,3]=>[7,5,1,3,4,2,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,1,3,4,8,2,7,6]=>[4,8,6,5,1,7,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,5,6,1,3,4,8,2]=>[2,4,3,8,6,5,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,5,6,3,8,7,4]=>[7,8,4,3,6,1,2,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,7,5,8,6,4,1]=>[6,7,2,4,1,3,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,4,5,3,8,1,7,6]=>[7,5,4,6,1,8,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,5,4,3,8,6,1]=>[2,7,4,5,6,1,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,5,1,3,6,8,4]=>[2,7,4,8,6,3,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,4,7,3,1,2,6,5]=>[1,5,2,6,8,7,3,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,1,6,2,5,7,3]=>[5,1,8,3,7,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,8,3,6,5,7,1]=>[7,5,1,6,3,4,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,5,2,1,6,3]=>[5,2,1,4,7,8,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,1,8,2,6,5,7,4]=>[6,8,1,7,3,4,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,3,6,1,5,7,4]=>[7,1,6,3,8,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,8,3,5,4,1,7]=>[3,7,1,6,4,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,8,4,6,5,2,1]=>[2,6,1,5,3,4,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,4,1,8,6,5,7,3]=>[7,5,8,1,3,4,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,8,4,6,5,2,7]=>[8,6,1,5,3,4,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,8,5,2,1,3]=>[5,3,2,1,4,7,8,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,7,2,1,8,6,5,3]=>[5,2,7,8,1,3,4,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,6,2,8,4,1,7,3]=>[4,3,7,1,5,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,2,4,8,6,1,3]=>[4,2,7,5,1,3,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,3,2,8,5,1,4]=>[3,2,6,7,1,4,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,1,8,6,5,4]=>[2,7,6,8,1,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,2,8,3,5,6,1,4]=>[2,7,1,6,4,3,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,3,8,4,6,1,5]=>[2,7,6,1,5,3,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,4,8,5,2,6]=>[8,2,6,5,1,4,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,3,8,5,4,2,6]=>[8,2,6,1,4,5,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,6,4,3,1,7,5]=>[7,1,3,5,6,8,2,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,7,3,4,8,2,5,6]=>[8,2,6,5,1,7,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,5,8,3,4,6,2,7]=>[8,4,1,6,5,3,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,8,4,2,5,7,6]=>[8,6,1,5,7,4,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,7,6,2,3,8,5]=>[8,5,2,3,7,6,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,4,5,1,8,6,3]=>[7,2,5,4,8,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,2,3,7,8,6,5]=>[8,5,7,6,2,1,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,7,1,2,4,8,3,5]=>[3,2,8,7,5,1,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,4,8,5,6,1,7]=>[6,7,5,1,4,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,6,2,7,1,5]=>[6,1,5,3,7,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,7,4,5,2,6,8]=>[6,8,2,5,4,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,4,8,1,2,6,5]=>[2,6,5,1,8,7,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,1,6,4,8,3,2]=>[4,2,8,3,5,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,4,1,2,7,8,6]=>[6,4,5,8,7,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,5,8,6,7,4,3,2]=>[8,4,1,3,2,5,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,3,4,8,6,2,5,7]=>[8,6,5,1,3,7,4,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,4,8,2,6,1,5,7]=>[6,5,1,7,3,8,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,8,2,1,6,5,3]=>[2,5,1,7,8,3,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,2,6,3,5,7,4,8]=>[8,7,3,6,4,2,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,3,7,5,1,2,8]=>[5,3,6,2,4,8,7,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,5,8,1,3,6,2]=>[2,5,4,1,8,6,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,8,6,4,2,5,3]=>[8,2,1,3,5,7,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,2,5,8,4,6,1,3]=>[2,7,4,1,5,3,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,8,7,5,1,4,2]=>[6,3,1,2,4,8,5,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,1,5,7,4,8,2,6]=>[6,8,4,2,5,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,6,1,5,8,3]=>[2,7,5,3,8,4,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,3,5,1,7,8,4]=>[7,3,6,4,8,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,3,6,2,5,8,7]=>[8,5,6,3,7,4,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,6,3,2,5,8,7]=>[8,5,3,6,7,4,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,6,3,8,2,5,7]=>[8,5,3,6,1,7,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,4,1,5,7,2,3]=>[3,1,5,8,4,2,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,6,7,4,1,8,3]=>[4,7,3,2,5,8,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,6,4,1,7,3,2]=>[1,4,3,5,8,2,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,8,3,1,6,4,5,2]=>[2,1,6,8,3,5,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,1,6,3,7,2]=>[5,4,1,8,3,6,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,4,6,2,5,7,3]=>[1,8,5,3,7,4,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,8,1,6,2,7,3]=>[5,4,1,8,3,7,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,6,8,1,4,3,7]=>[4,7,3,1,8,5,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,3,8,2,1,4,5]=>[3,2,6,1,7,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,3,7,4,5,8,1]=>[7,3,6,2,5,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,3,6,4,5,8,1]=>[7,2,6,3,5,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,3,1,5,8,6,4]=>[7,2,6,8,4,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,3,5,4,1,8,6]=>[7,2,6,4,5,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,3,7,4,1,8,5]=>[7,3,6,2,5,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,4,8,5,3,7,6]=>[7,8,5,1,4,6,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,3,8,4,1,6,5]=>[7,2,6,1,5,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,3,1,5,4,8,7]=>[7,3,6,8,4,5,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,1,5,4,8,6]=>[7,2,6,8,4,5,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,8,3,4,7,2,6]=>[8,4,1,6,5,2,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,8,1,4,6,2,7]=>[4,6,1,8,5,3,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,8,1,3,6,2,7]=>[5,4,1,8,6,3,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,8,5,7,6,2]=>[5,8,6,1,4,2,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,3,7,2,8,6,5]=>[5,8,6,2,7,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,3,1,7,2,8,5]=>[5,3,6,8,2,7,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,1,7,5,4,6,3]=>[7,1,8,2,4,5,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,3,1,5,7,2,4]=>[3,1,6,8,4,2,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,6,2,5,7,4,3]=>[8,1,3,7,4,2,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,3,6,4,2,7,5]=>[1,8,6,3,5,7,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,8,2,5,7,4,3]=>[3,8,1,7,4,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,6,8,5,2,1,3]=>[5,2,3,1,4,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,6,8,5,2,3,1]=>[5,2,3,1,4,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,1,2,6,3,8]=>[2,5,4,8,7,3,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,6,1,8,2,7,3]=>[4,5,3,8,1,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,4,7,1,5,8,2,3]=>[3,5,2,8,4,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,4,2,8,1,7,3]=>[4,3,5,7,1,8,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,7,1,5,3,8]=>[7,5,3,2,8,4,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,2,7,5,8,1,4,6]=>[6,7,2,4,1,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,2,7,8,5,6,1,4]=>[6,7,2,1,4,3,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,2,1,7,5,6]=>[5,1,6,7,8,2,4,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,1,2,6,4,7,8,3]=>[4,8,7,3,5,2,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,4,5,6,3,2,7]=>[8,1,5,4,3,6,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,1,5,8,2,3]=>[5,2,3,8,4,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,6,5,1,8,2,3]=>[5,2,3,4,8,1,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,7,4,6,5,8,2,1]=>[6,2,5,3,4,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,6,5,8,7,2,3]=>[8,5,3,4,1,2,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,8,1,6,7,2,5]=>[6,5,1,8,3,2,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,7,8,4,1,5,2]=>[6,3,2,1,5,8,4,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,7,8,4,6,2,5]=>[8,6,2,1,5,3,7,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,1,7,8,4,6,2,5]=>[6,8,2,1,5,3,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,7,3,6,1,2,5]=>[5,1,2,6,3,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,4,3,7,1,2,6]=>[4,1,5,6,2,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,8,3,7,5,2,6]=>[5,8,1,6,2,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,8,3,6,7,1,5]=>[7,5,1,6,3,2,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,5,8,7,3,2,4]=>[8,3,4,1,2,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,4,8,7,2,1,3]=>[4,3,5,1,2,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,6,8,3,5,1,4]=>[2,7,3,1,6,4,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,8,6,5,3,1,4]=>[2,7,1,3,4,6,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,8,3,7,6,1,2,5]=>[5,1,6,2,3,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,8,4,7,1,3,6,5]=>[7,1,5,2,8,6,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,1,4,5,6,2,8]=>[6,2,8,5,4,3,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,8,2,4,5,1,7,6]=>[6,1,7,5,4,8,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,1,5,6,4,8]=>[6,2,7,8,4,3,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,8,1,5,4,7,2]=>[6,3,1,8,4,5,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,5,6,4,3,8]=>[8,2,7,4,3,5,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,7,8,4,3,1,6]=>[7,4,2,1,5,6,8,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [6,5,8,4,2,1,3,7]=>[3,4,1,5,7,8,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,8,5,3,2,4,1,7]=>[3,1,4,6,7,5,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,6,8,5,3,2,7,4]=>[8,3,1,4,6,7,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,1,8,7,5,3,2]=>[5,3,8,1,2,4,6,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,8,5,1,2,7,6,4]=>[6,1,4,8,7,2,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,3,7,6,8,5,2,4]=>[8,6,2,3,1,4,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,1,7,2,4,6,5]=>[6,1,8,2,7,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,7,6,8,5,3,2]=>[5,8,2,3,1,4,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,7,6,8,5,3,4,2]=>[8,2,3,1,4,6,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,7,8,6,5,2,3]=>[5,8,2,1,3,4,7,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,3,7,6,5,8,1,2]=>[5,6,2,3,4,1,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,4,8,3,5,7,1]=>[3,7,5,1,6,4,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,8,5,2,3,6,1]=>[5,2,1,4,7,6,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,7,6,1,2,3,8,5]=>[5,2,3,8,7,6,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,7,8,6,5,2,4]=>[6,8,2,1,3,4,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,5,2,6,7,8,1,3]=>[5,4,7,3,2,1,8,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,1,7,8,4,5]=>[6,3,7,8,2,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,6,2,3,8,5,4]=>[8,2,3,7,6,1,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,2,8,7,3,6,4]=>[8,4,7,1,2,6,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,1,3,7,6,2,8]=>[5,4,8,6,2,3,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,4,3,8,6,2,7]=>[8,4,5,6,1,3,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,4,5,8,2,3,6]=>[8,2,5,4,1,7,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,3,7,5,8,4,6,2]=>[8,6,2,4,1,5,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,2,5,4,3,8,7]=>[8,3,7,4,5,6,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,4,5,6,2,3,8]=>[8,2,5,4,3,7,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,5,6,4,2,3,8]=>[8,2,4,3,5,7,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,6,4,2,3,8,5]=>[8,2,3,5,7,6,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,6,2,5,7,4,3,8]=>[8,3,7,4,2,5,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,5,3,4,6,2]=>[2,1,8,4,6,5,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,4,1,6,2,8]=>[2,6,4,5,8,3,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,7,1,6,4,2,8]=>[6,4,2,8,3,5,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,5,6,1,4,2,8]=>[6,2,4,3,8,5,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,5,6,3,4,8,2]=>[8,2,4,3,6,5,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,3,7,8,2,6,4]=>[4,8,6,2,1,7,3,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,6,8,4,3,1]=>[4,2,7,3,1,5,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,6,8,1,7,4,2]=>[6,4,3,1,8,2,5,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,8,1,2,7,6,4,3]=>[4,1,8,7,2,3,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,6,7,4,5,3,2,8]=>[8,3,2,5,4,6,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,7,5,6,3,2,8]=>[8,5,2,4,3,6,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,3,5,4,1,8]=>[2,7,3,6,4,5,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,5,6,2,4,3,1,8]=>[2,4,3,7,5,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,2,6,7,5,3,8]=>[8,5,7,3,2,4,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,4,6,5,3,7]=>[8,1,7,5,3,4,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,5,4,2,8,6,7]=>[8,6,4,5,7,1,3,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,2,7,6,4,3,5,1]=>[1,7,2,3,5,6,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,8,3,7,4,5,2,6]=>[8,1,6,2,5,4,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,7,3,2,6,4,1]=>[1,4,2,6,7,3,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,7,1,5,3,4,6]=>[7,1,2,8,4,6,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,5,2,4,3,6,7]=>[1,8,4,7,5,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,2,6,4,3,8,5]=>[8,2,7,3,5,6,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,2,3,1,7,6,4]=>[4,1,7,6,8,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,2,1,3,7,4,5]=>[3,1,7,8,6,2,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,1,8,2,4,5,3]=>[3,2,8,1,7,5,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,7,8,2,3,5,4]=>[3,8,2,1,7,6,4,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,8,7,2,3,6,5]=>[8,5,1,2,7,6,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,5,6,3,1,4,7,2]=>[1,4,3,6,8,5,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,5,6,2,3,7,1,4]=>[1,4,3,7,6,2,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,4,6,2,3,7,5]=>[8,1,5,3,7,6,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,3,2,6,5,7,4]=>[8,1,6,7,3,4,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,7,8,1,5,3,6]=>[5,7,2,1,8,4,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,3,6,5,8,2,7]=>[5,8,6,3,4,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,1,5,8,2,6]=>[5,6,2,8,4,1,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,6,8,7,1,3,4]=>[7,4,3,1,2,8,6,5]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,8,4,5,7,6,1,2]=>[6,1,5,4,2,3,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,3,4,6,1,7,5]=>[7,1,6,5,3,8,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,6,4,7,8,2,3]=>[8,4,3,5,2,1,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,4,5,7,6,1,3]=>[7,1,5,4,2,3,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,4,8,7,5,6,3]=>[8,7,5,1,2,4,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,4,7,1,8,6,3,5]=>[7,5,2,8,1,3,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,6,5,2,7,4,3]=>[8,1,3,4,7,2,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,8,6,2,7,4,3,5]=>[8,1,3,7,2,5,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,3,4,8,6,1,5]=>[7,2,6,5,1,3,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,4,1,8,5,3]=>[2,7,3,5,8,1,4,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,4,8,6,5,3,7,2]=>[8,5,1,3,4,6,2,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,7,2,8,6,5,4,3]=>[8,2,7,1,3,4,5,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,4,2,7,5,6,8,1]=>[6,5,7,2,4,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,4,2,1,6,8,5]=>[6,2,5,7,8,3,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,2,4,5,1,8,6,3]=>[2,7,5,4,8,1,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,1,8,5,3,6,7]=>[7,5,8,1,4,6,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,7,4,3,5,1,8]=>[3,7,2,5,6,4,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,2,3,4,5,7,1]=>[3,1,7,6,5,4,2,8]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [2,1,7,3,4,6,5,8]=>[7,8,2,6,5,3,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,2,7,1,4,6,3]=>[4,1,7,2,8,5,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,8,2,4,5,1,6]=>[2,6,1,7,5,4,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,4,1,7,8,6,2]=>[6,4,5,8,2,1,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,7,2,1,5,4,3]=>[3,1,2,7,8,4,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,7,3,5,4,2,8,1]=>[3,2,6,4,5,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,5,4,3,8,1]=>[3,7,2,4,5,6,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,8,6,2,5,4,3,1]=>[2,1,3,7,4,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,1,8,3,7,5,4,2]=>[3,8,1,6,2,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,2,8,3,7,5,4,1]=>[3,7,1,6,2,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,1,2,8,7,5,4,3]=>[3,8,7,1,2,4,5,6]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,1,6,3,7,5,4,2]=>[1,8,3,6,2,4,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,8,4,6,5,3,2,1]=>[2,1,5,3,4,6,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,3,6,5,4,2,1,7]=>[1,6,3,4,5,7,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [6,2,3,5,7,1,8,4]=>[3,7,6,4,2,8,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,2,7,1,8,5]=>[3,6,5,7,2,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,3,5,7,2,8,4]=>[3,8,6,4,2,7,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,6,7,2,8,4]=>[4,8,6,3,2,7,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,6,7,1,8,5]=>[6,7,5,3,2,8,1,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,1,5,6,4,3,7]=>[7,1,8,4,3,5,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,8,3,4,7,5,1]=>[7,3,1,6,5,2,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,5,7,4,3,8,2]=>[3,8,4,2,5,6,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,3,4,7,5,1,2]=>[3,1,6,5,2,4,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,4,7,5,6,1,3]=>[1,7,5,2,4,3,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,7,5,8,4,1,3]=>[7,3,2,4,1,5,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,8,3,1,6,7,2]=>[4,5,1,6,8,3,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,5,8,1,4,7,6,2]=>[6,4,1,8,5,2,3,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,4,7,3,2,5,1]=>[3,1,5,2,6,7,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,7,2,6,4,3,1]=>[4,1,2,7,3,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,7,3,5,1,4,2]=>[3,1,2,6,4,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,8,5,2,6,1]=>[2,6,5,1,4,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,5,8,6,1,3,7]=>[5,7,4,1,3,8,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,5,7,8,3,1,4]=>[3,7,4,2,1,6,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,5,7,8,3,2,4]=>[8,3,4,2,1,6,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,6,7,2,3,5,4,1]=>[1,3,2,7,6,4,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,3,6,4,2,1,8,5]=>[2,6,3,5,7,8,1,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,8,5,2,7,3,1,6]=>[5,1,4,7,2,6,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,5,2,6,7,3,1]=>[5,1,4,7,3,2,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,7,2,4,3,8,6]=>[8,4,2,7,5,6,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,7,5,8,4,3,6]=>[8,7,2,4,1,5,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,8,2,7,4,6]=>[4,8,6,1,7,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,3,2,8,4,6]=>[4,2,8,6,7,1,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,3,2,8,4,5]=>[2,8,3,6,7,1,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,7,2,3,6,5,4]=>[1,8,2,7,6,3,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,2,6,4,3,8,5]=>[2,8,7,3,5,6,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,7,8,3,2,5,6]=>[8,5,2,1,6,7,4,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [8,1,6,3,2,4,7,5]=>[1,8,3,6,7,5,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,8,2,7,6,3,5,4]=>[8,1,7,2,3,6,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,4,3,5,1,2,7]=>[3,1,5,6,4,8,7,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,8,5,7,2,1,4]=>[3,6,1,4,2,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,7,4,6,1,3,8]=>[4,7,2,5,3,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,5,2,8,1,4,7]=>[3,6,4,7,1,8,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,8,3,6,5,1,4,7]=>[7,1,6,3,4,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,4,2,6,5,1,8]=>[6,2,5,7,3,4,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,5,2,3,1,8]=>[5,2,3,4,7,6,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,7,6,1,2,5,4,8]=>[6,2,3,8,7,4,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,1,3,8,7,6,4]=>[7,4,8,6,1,2,3,5]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,7,6,1,3,8,5,2]=>[5,2,3,8,6,1,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,6,2,3,1,5,8]=>[5,2,3,7,6,8,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,2,6,8,3,1]=>[4,2,5,7,3,1,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,1,6,4,8,7,2,3]=>[4,8,3,5,1,2,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,6,4,3,8,1,5]=>[7,2,3,5,6,1,8,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,7,1,5,3,2,8,6]=>[5,2,8,4,6,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,3,5,6,4,7]=>[7,1,8,6,4,3,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,6,3,4,7,8,5,1]=>[7,3,6,5,2,1,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,6,4,7,8,5,3,2]=>[8,3,5,2,1,4,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,1,6,4,2,7,8,3]=>[4,8,3,5,7,2,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,3,6,2,5,8,7]=>[5,8,6,3,7,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,4,6,3,2,5,8]=>[2,8,5,3,6,7,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,4,6,3,5,2,8]=>[2,8,5,3,6,4,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,3,6,5,2,4,8]=>[2,8,6,3,4,7,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,2,6,5,4,8,7]=>[6,8,7,3,4,5,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,5,6,8,4,3,7]=>[8,7,4,3,1,5,6,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,5,6,4,7,8,1,3]=>[7,4,3,5,2,1,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,5,2,1,7,8,4]=>[3,6,4,7,8,2,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,5,3,2,7,8,4]=>[3,8,4,6,7,2,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,3,4,7,2,8,6,5]=>[8,6,5,2,7,1,3,4]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,5,2,8,7,4,1,6]=>[6,4,7,1,2,5,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,4,1,5,2,8,6]=>[6,2,5,8,4,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,5,1,4,8,6]=>[7,2,6,4,8,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,5,8,6,2,3,1]=>[2,5,4,1,3,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,4,7,8,5,1,6]=>[7,6,5,2,1,4,8,3]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [5,1,6,4,7,8,3,2]=>[4,8,3,5,2,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,4,7,8,1,3,2,5]=>[3,5,2,1,8,6,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,3,8,4,1,5]=>[3,2,7,6,1,5,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,7,5,8,3,2]=>[3,8,5,2,4,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,8,1,5,4,3,6]=>[7,2,1,8,4,5,6,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,4,8,1,5,2,6]=>[2,6,5,1,8,4,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,6,8,7,4,3]=>[8,4,7,3,1,2,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,3,7,5,2,6,4]=>[8,1,6,2,4,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,3,6,5,2,7,4]=>[1,8,6,3,4,7,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,3,8,5,2,6,4]=>[2,8,6,1,4,7,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,1,5,2,6,8,3]=>[5,2,8,4,7,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,6,7,5,2,8,4]=>[6,8,3,2,4,7,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,6,7,5,2,1,4,3]=>[1,3,2,4,7,8,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,4,5,2,6,8,3]=>[2,8,5,4,7,3,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,2,3,8,7,5]=>[5,8,3,7,6,1,2,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,7,4,2,8,5,6]=>[6,8,2,5,7,1,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,6,4,2,8,7,5]=>[6,8,3,5,7,1,2,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,1,7,6,5,2,8,3]=>[5,8,2,3,4,7,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,7,4,6,3,2,8,1]=>[4,2,5,3,6,7,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,3,5,4,1,6,8]=>[7,2,6,4,5,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,4,5,1,7,3,8]=>[3,7,5,4,8,2,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,1,5,7,4,8]=>[7,6,3,8,4,2,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,3,4,8,7,1]=>[4,3,7,6,5,1,2,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,5,6,2,3,8,1,4]=>[2,4,3,7,6,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,5,4,6,1,7,2]=>[6,1,4,5,3,8,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,4,7,3,2,5,8]=>[3,8,5,2,6,7,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,5,3,6,1,7,2]=>[1,5,4,6,3,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,3,1,6,7,4,8]=>[4,7,6,8,3,2,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,4,7,3,5,6,1]=>[7,1,5,2,6,4,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,4,8,3,2,6,7]=>[8,4,5,1,6,7,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,3,1,7,8,4,5]=>[7,3,6,8,2,1,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,5,8,6,7,4,2,3]=>[8,4,1,3,2,5,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,5,8,1,3,2]=>[5,2,3,4,1,8,6,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,6,2,1,5,3]=>[5,2,1,3,7,8,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,8,6,3,2,1,7,5]=>[5,1,3,6,7,8,2,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,1,4,7,6,8,3,2]=>[4,8,5,2,3,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,4,7,1,8,3,2]=>[4,3,5,2,8,1,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,7,4,6,1,8,2]=>[4,6,2,5,3,8,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,5,7,8,6,3,2]=>[5,8,4,2,1,3,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,6,7,1,5,4,8,2]=>[6,3,2,8,4,5,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,7,5,8,2,1]=>[6,3,5,2,4,1,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,7,3,2,4,5,6]=>[1,8,2,6,7,5,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,7,4,5,3,8,2,6]=>[8,2,5,4,6,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,7,4,1,8,3,2]=>[4,3,2,5,8,1,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,5,7,3,1,8,2,4]=>[3,4,2,6,8,1,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,4,7,1,5,2,8,3]=>[3,5,2,8,4,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,7,4,2,1,8,3]=>[4,3,2,5,7,8,1,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,3,4,7,8,2,6,1]=>[4,6,5,2,1,7,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,8,2,5,3,7]=>[5,3,8,1,7,4,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,6,1,8,5,4,7]=>[6,7,3,8,1,4,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,3,1,4,2,8,6]=>[4,2,6,8,5,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,8,4,2,1,6]=>[4,2,6,1,5,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,8,4,5,1,7,6]=>[6,7,1,5,4,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,1,3,5,2,7,6]=>[5,1,8,6,4,7,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,6,8,2,5,3,7]=>[5,8,3,1,7,4,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,7,4,5,1,8,6]=>[6,7,2,5,4,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,4,3,5,8,2,6]=>[8,2,5,6,4,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,4,8,5,2,3,6,1]=>[2,5,1,4,7,6,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,2,8,5,4,3,1,6]=>[2,7,1,4,5,6,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,3,7,1,4,6,2,8]=>[4,6,2,8,5,3,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,1,5,4,6,3,8]=>[7,2,8,4,5,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,7,4,8,1,5,6]=>[7,6,2,5,1,8,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,5,2,3,6,7,1]=>[5,1,4,7,6,3,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,4,6,8,2,5,1,7]=>[6,5,3,1,7,4,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,7,2,5,4,6,8,1]=>[6,2,7,4,5,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,6,5,7,4,2,1]=>[6,1,3,4,2,5,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,1,7,2,5,8,3,6]=>[5,8,2,7,4,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,1,7,4,2,8,5]=>[6,3,8,2,5,7,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,7,5,2,8,6,4]=>[6,8,2,4,7,1,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,3,2,8,7,4,1]=>[4,3,6,7,1,2,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,6,1,7,8,4,3,5]=>[7,3,8,2,1,5,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,8,6,4,1,7]=>[6,7,4,1,3,5,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,5,8,6,1,7,4]=>[6,7,4,1,3,8,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,2,5,8,6,1,7]=>[6,5,7,4,1,3,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,7,2,8,6,3]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,3,1,8,7,5,4]=>[7,3,6,8,1,2,4,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,5,2,8,6,4,1]=>[6,2,4,7,1,3,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,5,3,6,7,4,1]=>[7,1,4,6,3,2,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,6,3,7,1,2,5]=>[5,1,3,6,2,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,8,5,3,6,2]=>[5,2,8,1,4,6,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,6,4,7,2,5,3]=>[8,1,3,5,2,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,6,4,1,8,2,5]=>[2,6,3,5,8,1,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,6,1,5,7,2,4]=>[6,1,3,8,4,2,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,6,1,5,8,2,4]=>[2,6,3,8,4,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,7,2,5,3,1,8]=>[3,5,2,7,4,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,2,4,8,3,1,6]=>[4,2,7,5,1,6,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,4,3,6,8,2,5]=>[2,8,5,6,3,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,6,1,7,5,4,2]=>[6,1,3,8,2,4,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,8,6,3,5,4,7,2]=>[8,1,3,6,4,5,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,4,1,8,7,2]=>[3,6,4,5,8,1,2,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,2,4,3,8,5,7]=>[3,8,7,5,6,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,8,4,1,7,2]=>[3,6,4,1,5,8,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,3,7,5,4,8,2]=>[8,3,6,2,4,5,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,3,8,5,4,2,6]=>[2,8,6,1,4,5,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,2,7,3,4,5,1]=>[3,1,7,2,6,5,4,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,7,3,5,1,6,2]=>[5,1,2,6,4,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,7,1,6,2,4]=>[4,6,1,2,8,3,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,6,7,2,5,3,8]=>[5,8,3,2,7,4,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,7,8,2,6,3]=>[5,4,8,2,1,7,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,7,4,2,8,6]=>[6,4,8,2,5,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,5,7,1,3,8,6]=>[5,7,4,2,8,6,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,2,7,6,1,8,5]=>[6,5,7,2,3,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,2,6,1,8,4,7]=>[6,4,7,3,8,1,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,7,4,3,1,8]=>[4,7,3,2,5,6,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,4,6,2,1,5,7,3]=>[1,5,3,7,8,4,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,2,8,5,4,6,3]=>[8,2,7,1,4,5,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,1,4,8,5,3,2]=>[3,2,8,5,1,4,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,3,7,8,6,1,5,2]=>[5,6,2,1,3,8,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,6,3,7,8,5,4]=>[8,7,3,6,2,1,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,3,7,8,5,4,2]=>[3,8,6,2,1,4,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,3,5,7,8,2,1,6]=>[5,6,4,2,1,7,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,8,5,4,2,1,7]=>[6,3,1,4,5,7,8,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [8,2,7,6,3,5,1,4]=>[1,7,2,3,6,4,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,7,3,5,8,2,4]=>[8,3,2,6,4,1,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,5,2,3,1,7,8]=>[5,3,4,7,6,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,7,1,3,2,8,6]=>[5,4,2,8,6,7,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,8,3,4,7,2]=>[8,3,4,1,6,5,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,4,7,6,1,3,8]=>[4,7,5,2,3,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,8,4,7,5,2,3]=>[3,8,1,5,2,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,6,2,5,7,3,1,8]=>[5,3,7,4,2,6,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,4,2,8,7,1,5]=>[3,6,5,7,1,2,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,3,7,2,8,4,1]=>[4,3,6,2,7,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,1,8,6,2,7,3]=>[5,4,8,1,3,7,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,1,8,7,2,3,4]=>[4,3,8,1,2,7,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,2,8,7,1,3,5]=>[5,3,7,1,2,8,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,6,7,8,5,1,3]=>[5,7,3,2,1,4,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,6,8,7,3,2]=>[5,4,8,3,1,2,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,8,3,4,5,6,1,7]=>[7,1,6,5,4,3,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,8,6,1,5,2,4,7]=>[6,1,3,8,4,7,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,8,1,5,6,4,7]=>[6,7,1,8,4,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,7,3,2,1,4,6]=>[4,1,2,6,7,8,5,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,4,7,6,8,2,1,5]=>[6,5,2,3,1,7,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,1,3,7,5,6,4]=>[7,1,8,6,2,4,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,6,4,7,8,1,5]=>[7,6,3,5,2,1,8,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,7,4,5,8,1,6]=>[7,6,2,5,4,1,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,7,1,5,8,2,6]=>[6,5,2,8,4,1,7,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,6,3,5,1,7,8]=>[7,5,3,6,4,8,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,6,2,5,8,3,7]=>[5,8,3,7,4,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,2,5,7,3,4,6]=>[8,1,7,4,2,6,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,6,3,8,5,2,7]=>[8,5,3,6,1,4,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,6,3,1,7,2,8]=>[5,4,3,6,8,2,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,6,2,5,1,7,8]=>[6,5,3,7,4,8,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,6,5,8,2,3,7]=>[8,5,3,4,1,7,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,5,3,7,2,6,8]=>[8,5,4,6,2,7,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,7,3,8,6,1,4]=>[7,4,2,6,1,3,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,7,8,3,6,1,5]=>[7,5,2,1,6,3,8,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,5,7,6,8,3,4,1]=>[7,4,2,3,1,6,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,7,6,8,3,1,4]=>[7,4,2,3,1,6,8,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,6,7,1,3,4,5]=>[7,1,3,2,8,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,4,8,5,2,1,7]=>[3,6,5,1,4,7,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,1,3,5,4,8,2]=>[3,2,8,6,4,5,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,6,7,2,8,5,4]=>[6,8,3,2,7,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,8,5,3,4,7,2]=>[8,3,1,4,6,5,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,3,6,4,7,1,5,2]=>[1,6,3,5,2,8,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,3,6,8,4,7,2]=>[4,8,6,3,1,5,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,6,5,1,7,2]=>[6,1,5,3,4,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,4,8,5,3,2,6]=>[8,2,5,1,4,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,4,5,1,6,7,3,2]=>[1,5,4,8,3,2,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,4,7,5,6,8,2,1]=>[6,5,2,4,3,1,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,7,8,5,2,6,1]=>[6,5,2,1,4,7,3,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,8,6,1,7,2,3]=>[5,4,1,3,8,2,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,5,6,1,7,2,3]=>[5,1,4,3,8,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,8,6,3,7,4,1]=>[7,4,1,3,6,2,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,7,2,8,6,5,1]=>[6,5,2,7,1,3,4,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,8,4,7,5,1,6]=>[7,6,1,5,2,4,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,4,5,1,7,6,2]=>[6,1,5,4,8,2,3,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,5,1,2,6,8]=>[5,6,2,4,8,7,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,5,3,1,6,2,7,8]=>[5,4,6,8,3,7,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,7,5,4,2,1,8]=>[3,6,2,4,5,7,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,7,3,1,4,6,5,8]=>[7,2,6,8,5,3,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,1,7,6,4,8]=>[7,4,6,8,2,3,5,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,3,6,2,7,8]=>[5,4,8,6,3,7,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,4,1,3,2,7,8]=>[4,3,5,8,6,7,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,4,3,1,5,6,8]=>[2,7,5,6,8,4,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,3,5,4,8,7,1,2]=>[3,6,4,5,1,2,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,4,3,1,7,5,8]=>[7,3,5,6,8,2,4,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,1,7,5,6,3,2]=>[5,1,8,2,4,3,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,7,2,8,4,6,3]=>[8,4,2,7,1,5,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,1,2,3,7,8]=>[5,3,4,8,7,6,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,8,7,5,2,6,3,4]=>[8,1,2,4,7,3,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,7,4,5,6,2,3]=>[8,1,2,5,4,3,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,8,7,3,6,4,2,5]=>[8,1,2,6,3,5,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,7,5,8,2,6,3]=>[8,5,2,4,1,7,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,5,8,3,4,7]=>[8,7,3,4,1,6,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,8,2,6,3,4,7]=>[8,4,1,7,3,6,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,5,1,4,2,7,8]=>[3,6,4,8,5,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,6,7,3,5,2,4]=>[1,8,3,2,6,4,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,3,6,8,1,2,5,4]=>[2,6,3,1,8,7,4,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,6,8,2,4,1]=>[2,6,4,3,1,7,5,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,6,4,8,1,5,3]=>[2,7,3,5,1,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,5,7,2,6,3,8]=>[5,8,4,2,7,3,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,2,1,3,6,4,8]=>[4,2,7,8,6,3,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,8,7,2,5,3,4]=>[3,8,1,2,7,4,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,5,8,6,4,3,1]=>[2,7,4,1,3,5,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,5,4,1,7,6,3,8]=>[7,4,5,8,2,3,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,8,3,2,4,7]=>[4,8,3,1,6,7,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,8,7,3,5,4,1]=>[7,3,1,2,6,4,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,1,8,6,5,3,4,7]=>[7,8,1,3,4,6,5,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,5,6,7,2,4,1,8]=>[6,4,3,2,7,5,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,4,7,5,2,3,1,8]=>[3,5,2,4,7,6,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,6,4,8,3,2,7]=>[8,4,3,5,1,6,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,5,6,4,8,3,7]=>[7,8,4,3,5,1,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,7,8,6,2,3]=>[4,8,5,2,1,3,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,7,2,8,5,4,3]=>[8,3,2,7,1,4,5,6]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,7,1,5,8,6,2]=>[5,6,2,8,4,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,4,5,3,1,7,6]=>[1,7,5,4,6,8,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,3,2,7,5,8,6]=>[8,5,6,7,2,4,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,2,6,1,3,5]=>[5,1,2,7,3,8,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,2,1,7,3,6]=>[5,4,1,7,8,2,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,4,1,7,3,2,5]=>[3,1,5,8,2,6,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,2,1,7,6,4]=>[6,1,4,7,8,2,3,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,4,8,7,5,1,6,3]=>[7,5,1,2,4,8,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,1,7,8,3,2,5,6]=>[5,8,2,1,6,7,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,7,1,3,6,2,8]=>[4,5,2,8,6,3,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,2,4,5,3,6,7]=>[8,1,7,5,4,6,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,8,2,4,5,3,7,6]=>[8,1,7,5,4,6,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,6,2,1,7,4]=>[6,4,1,3,7,8,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,8,6,1,3,4,7,5]=>[7,1,3,8,6,5,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,5,7,2,3,8,4,1]=>[3,4,2,7,6,1,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,6,8,2,7,4,3,1]=>[4,3,1,7,2,5,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,8,2,1,3,6,4,7]=>[4,1,7,8,6,3,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,2,1,7,4,6,3]=>[4,1,7,8,2,5,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,2,8,4,3,1]=>[4,2,3,7,1,5,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,6,1,7,5,4,3]=>[7,1,3,8,2,4,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [8,2,4,3,7,1,5,6]=>[1,7,5,6,2,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,4,8,5,7,3,2,6]=>[8,5,1,4,2,6,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,3,7,1,6,4,5]=>[1,7,6,2,8,3,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,5,4,1,7,3,8]=>[3,7,4,5,8,2,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,8,7,4,1,5,3]=>[3,7,1,2,5,8,4,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,4,6,1,5,3,7,2]=>[1,5,3,8,4,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,2,6,5,7,3,8]=>[5,8,7,3,4,2,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,6,3,4,1,8,2]=>[4,2,3,6,5,8,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,5,6,4,1,7,2]=>[1,6,4,3,5,8,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,5,7,3,6,4,8]=>[7,8,4,2,6,3,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,8,2,1,3,7]=>[3,5,4,1,7,8,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,6,2,8,5,7,4]=>[8,6,3,7,1,4,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,6,1,7,2,4]=>[4,6,1,3,8,2,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,3,6,8,1,7,4]=>[7,4,6,3,1,8,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,5,6,4,8,2,3]=>[2,8,4,3,5,1,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,6,2,5,7,4]=>[8,1,6,3,7,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,8,6,2,5,7,4]=>[6,8,1,3,7,4,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,8,3,5,2,6,4,7]=>[8,1,6,4,7,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,4,6,1,8,5,7,2]=>[6,5,3,8,1,4,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,7,4,5,1,6]=>[7,6,1,2,5,4,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,3,5,7,4,2,6]=>[8,1,6,4,2,5,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,8,4,6,7,1,3]=>[7,4,1,5,3,2,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,2,6,4,3,5,8]=>[2,8,7,3,5,6,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,2,6,5,3,4,8]=>[2,8,7,3,4,6,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,6,2,7,1,8,5]=>[6,5,3,7,2,8,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,7,4,3,8,6]=>[4,8,7,2,5,6,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,4,7,3,8,6,5]=>[7,8,5,2,6,1,3,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,8,3,7,1,2]=>[4,5,3,1,6,2,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,4,6,3,5,8,1]=>[7,2,5,3,6,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,4,6,3,5,8,2]=>[2,8,5,3,6,4,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,7,2,5,8,1]=>[5,6,3,2,7,4,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,6,8,2,5,1,7]=>[5,6,3,1,7,4,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,8,6,2,3,5,1]=>[5,2,1,3,7,6,4,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,8,6,4,7,5,1]=>[6,7,1,3,5,2,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,4,7,3,1,5,6]=>[7,1,5,2,6,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,1,4,8,7,5,6]=>[7,6,8,5,1,2,4,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,8,2,6,4,7]=>[6,8,4,1,7,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,2,4,8,6,5,3]=>[2,8,7,5,1,3,4,6]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,4,1,8,7,6,2]=>[6,4,5,8,1,2,3,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,2,4,1,8,7,6,3]=>[4,7,5,8,1,2,3,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,3,4,1,8,7,6,2]=>[4,6,5,8,1,2,3,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,1,3,2,8,6,5,4]=>[2,8,6,7,1,3,4,5]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,5,3,1,8,7,6,4]=>[7,4,6,8,1,2,3,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,3,5,1,8,7,6,2]=>[5,6,4,8,1,2,3,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,6,1,8,7,2,3,5]=>[5,3,8,1,2,7,6,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,5,6,4,8,1,3]=>[7,2,4,3,5,1,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,3,5,6,1,8,4]=>[7,2,6,4,3,8,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,2,5,6,1,7,3]=>[5,1,7,4,3,8,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,7,1,5,6,2]=>[6,1,5,2,8,4,3,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,7,1,5,8,4,2]=>[6,3,2,8,4,1,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,3,6,5,7,1,4]=>[7,1,6,3,4,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,1,8,6,2,5]=>[5,6,2,8,1,3,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,1,6,2,4,7,5]=>[6,1,8,3,7,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,8,4,1,6,7,3]=>[7,4,1,5,8,3,2,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,5,1,2,6,8,7,4]=>[6,4,8,7,3,1,2,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,1,2,4,8,7,5,6]=>[6,8,7,5,1,2,4,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,8,3,1,4,7,2]=>[4,3,1,6,8,5,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,5,6,8,3,4,7,2]=>[8,4,3,1,6,5,2,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,6,8,5,4,7,2]=>[8,6,3,1,4,5,2,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,6,7,1,4,8,3,2]=>[4,3,2,8,5,1,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,7,2,5,8,3,4]=>[8,3,2,7,4,1,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,4,6,3,8,1,5]=>[7,2,5,3,6,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,4,8,3,1,5,6]=>[7,2,5,1,6,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,2,3,6,4,5,1]=>[2,1,7,6,3,5,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,8,1,3,7,5,6]=>[5,7,1,8,6,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,4,1,3,7,5,6]=>[1,7,5,8,6,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,6,2,3,7,4,5]=>[1,8,3,7,6,2,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,8,2,3,6,4,5]=>[2,8,1,7,6,3,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,2,5,3,8,1,6]=>[5,2,7,4,6,1,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,7,4,2,8,1,6]=>[6,4,2,5,7,1,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,7,6,3,8,1,5]=>[7,5,2,3,6,1,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,4,7,6,1,8,2,5]=>[6,5,2,3,8,1,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,8,6,1,4,2,3,7]=>[4,1,3,8,5,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,2,4,1,6,8,3]=>[4,2,7,5,8,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,6,2,1,8,7,4,3]=>[4,3,7,8,1,2,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,6,5,8,3,2,4,7]=>[8,3,4,1,6,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,8,5,3,2,4,6]=>[2,8,1,4,6,7,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,2,7,5,4,1,6,3]=>[1,7,2,4,5,8,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,6,1,8,7,4,5,3]=>[7,3,8,1,2,5,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,8,5,7,1,6,3]=>[5,7,1,4,2,8,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,5,1,2,6,3,7]=>[5,1,4,8,7,3,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,2,5,7,3,4,1]=>[3,1,7,4,2,6,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,6,7,2,4,3,5,1]=>[1,3,2,7,5,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,5,8,4,6,3,1]=>[2,7,4,1,5,3,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,7,4,5,3,2,1]=>[3,1,2,5,4,6,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,3,7,6,2,8,1,4]=>[4,6,2,3,7,1,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,6,7,4,8,3,1]=>[4,7,3,2,5,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,5,8,3,7,4,1]=>[7,3,4,1,6,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,6,5,7,8,1,4,2]=>[6,3,4,2,1,8,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,1,8,6,3,2]=>[5,4,2,8,1,3,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,6,5,4,1,2,8]=>[6,2,3,4,5,8,7,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [7,6,8,3,1,4,2,5]=>[2,3,1,6,8,5,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,4,7,5,1,3,8]=>[7,3,5,2,4,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,8,1,7,3,2,4]=>[3,4,1,8,2,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,8,1,5,2,3,7]=>[3,5,1,8,4,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,4,1,6,3,5,8]=>[2,7,5,8,3,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,4,1,3,6,8,7]=>[4,7,5,8,6,3,1,2]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,6,1,5,3,4,8,7]=>[7,3,8,4,6,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,7,3,1,4,5,6]=>[7,1,2,6,8,5,4,3]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,6,1,2,4,7,8,3]=>[4,3,8,7,5,2,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [7,8,5,1,4,6,2,3]=>[2,1,4,8,5,3,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,7,5,4,6,1,3]=>[1,7,2,4,5,3,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,7,6,3,1,2,5]=>[1,5,2,3,6,8,7,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,6,7,1,3,2,8,5]=>[5,3,2,8,6,7,1,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,6,3,1,5,7,2]=>[1,5,3,6,8,4,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,1,2,4,5,3,6]=>[2,1,8,7,5,4,6,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,8,5,7,3,2,6,4]=>[8,1,4,2,6,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,5,8,3,2,6,4]=>[8,2,4,1,6,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,4,3,6,1,5,8]=>[2,7,5,6,3,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,3,4,2,1,8,5]=>[3,2,6,5,7,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,8,3,1,5,7,2]=>[3,5,1,6,8,4,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,6,5,2,4,8,7]=>[6,8,3,4,7,5,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,6,8,7,4,5,1,2]=>[6,3,1,2,5,4,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,3,8,6,4,1,7]=>[7,4,6,1,3,5,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,3,2,7,4,1,5]=>[3,1,6,7,2,5,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,8,3,6,4,1,5]=>[2,7,1,6,3,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,3,8,6,4,1,7]=>[4,7,6,1,3,5,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,5,8,6,3,1,7]=>[5,7,4,1,3,6,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,3,4,6,2,1,7]=>[4,1,6,5,3,7,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,7,4,1,8,3,6,2]=>[4,2,5,8,1,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,7,3,4,5,2]=>[3,1,8,2,6,5,4,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,1,5,4,3,2,8]=>[3,2,8,4,5,6,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,4,1,3,2,7,6]=>[4,1,5,8,6,7,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,1,3,2,6,7]=>[4,1,5,8,6,7,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,6,5,1,7,2,8]=>[5,6,3,4,8,2,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,4,3,1,7,8,2]=>[4,3,5,6,8,2,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,1,6,3,8,2]=>[4,2,5,8,3,6,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,4,1,3,6,2,7]=>[4,1,5,8,6,3,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,1,5,3,7,4,2]=>[3,1,8,4,6,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,1,3,4,2,5,6]=>[2,1,8,6,5,7,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,1,4,3,5,2,7]=>[3,1,8,5,6,4,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,6,3,1,8,5,2]=>[5,2,3,6,8,1,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,3,4,7,6,1,8,2]=>[4,6,5,2,3,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,5,3,6,7,1,8]=>[5,7,4,6,3,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,6,5,3,7,1,4]=>[1,7,3,4,6,2,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,3,5,1,7,4,8]=>[3,7,6,4,8,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,6,2,7,1,5,3]=>[1,5,3,7,2,8,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,4,6,3,5,2,8,7]=>[8,5,3,6,4,7,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,1,4,8,3,6]=>[4,2,7,8,5,1,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,4,8,3,1,6,5]=>[7,2,5,1,6,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,2,1,6,3,8,7]=>[5,4,7,8,3,6,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,1,6,7,3,8]=>[5,4,7,8,3,2,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,8,6,2,4,7,1]=>[4,6,1,3,7,5,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,5,1,6,4,3,8,7]=>[7,4,8,3,5,6,1,2]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,2,8,5,7,1,4]=>[6,3,7,1,4,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,5,8,1,7,3,2]=>[5,3,4,1,8,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,3,6,4,8,7,5]=>[7,8,6,3,5,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,1,2,7,5,6,3]=>[5,1,8,7,2,4,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,2,4,6,3,8,1]=>[4,2,7,5,3,6,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,6,7,3,1,5,4,2]=>[1,3,2,6,8,4,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,5,2,7,8,3,1]=>[3,5,4,7,2,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,4,3,8,7,5,2]=>[8,3,5,6,1,2,4,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,2,3,8,1,5,7,6]=>[5,7,6,1,8,4,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,3,6,5,7,2,4]=>[1,8,6,3,4,2,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,6,8,7,2,3]=>[5,4,8,3,1,2,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,4,7,2,5,8,6,1]=>[6,5,2,7,4,1,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,3,5,2,4,7,1]=>[3,1,6,4,7,5,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,5,3,1,4,6,8]=>[2,7,4,6,8,5,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [3,8,7,6,1,5,2,4]=>[6,1,2,3,8,4,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,1,5,8,2,4,7,6]=>[6,8,4,1,7,5,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,8,6,4,5,7,2]=>[8,6,1,3,5,4,2,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,1,8,6,4,7,3]=>[7,4,8,1,3,5,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,2,8,5,4,6,7]=>[6,8,7,1,4,5,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,8,7,3,1,4,6]=>[7,4,1,2,6,8,5,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,2,5,3,8,1,6,4]=>[2,7,4,6,1,8,3,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,4,8,5,1,6,3]=>[7,2,5,1,4,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,3,7,4,6,8,2]=>[4,8,6,2,5,3,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,2,6,4,8,5,3]=>[2,8,7,3,5,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,7,2,6,1,4,5]=>[6,1,2,7,3,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,5,7,2,3,4,6]=>[1,8,4,2,7,6,5,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,8,4,2,1,7,5,6]=>[6,1,5,7,8,2,4,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,4,5,1,6,7,2,3]=>[1,5,4,8,3,2,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,4,7,3,1,5,2,6]=>[1,5,2,6,8,4,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,6,3,8,2,5,7]=>[5,8,3,6,1,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,8,7,4,1,3,6]=>[4,7,1,2,5,8,6,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,1,8,3,6,4,7]=>[7,4,8,1,6,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,8,1,6,2,7,4]=>[4,6,1,8,3,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,8,7,1,3,6,4]=>[4,7,1,2,8,6,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,5,8,2,3,7,6]=>[5,8,4,1,7,6,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,1,2,6,3,5,7]=>[5,1,8,7,3,6,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,2,5,4,3,6,1,7]=>[1,7,4,5,6,3,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,1,4,6,8,3,7]=>[7,4,8,5,3,1,6,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,8,4,7,3,2,1,6]=>[4,1,5,2,6,7,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,8,4,2,7,1,3]=>[4,3,1,5,7,2,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,3,8,6,1,2,5,7]=>[5,6,1,3,8,7,4,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,8,6,5,7,1,3,2]=>[5,1,3,4,2,8,6,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,3,4,7,2,6]=>[4,1,8,6,5,2,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,8,6,3,2,5]=>[5,2,8,1,3,6,7,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,3,7,6,1,4,5]=>[1,7,6,2,3,8,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,3,5,6,1,8,4]=>[2,7,6,4,3,8,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,3,4,2,7,6,1,5]=>[1,6,5,7,2,3,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,4,5,3,1,6,8]=>[2,7,5,4,6,8,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,4,1,7,2,5,8]=>[3,6,5,8,2,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,4,3,6,8,1,5]=>[2,7,5,6,3,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,6,2,8,5,3,1,7]=>[5,3,7,1,4,6,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,5,8,2,7,1,3]=>[3,5,4,1,7,2,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,7,3,4,8,2,5]=>[8,3,2,6,5,1,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,8,5,7,2,6]=>[5,8,6,1,4,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,6,2,1,8,5]=>[6,2,5,3,7,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,8,1,2,5,4,6]=>[6,2,1,8,7,4,5,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,3,6,4,7,8,2]=>[4,8,6,3,5,2,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,3,4,7,8,1,6,2]=>[4,6,5,2,1,8,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,1,7,3,6,5,8]=>[7,5,8,2,6,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,8,2,3,7,6]=>[4,8,5,1,7,6,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,4,1,3,5,6,8]=>[7,2,5,8,6,4,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,7,8,4,5,1,3,2]=>[3,2,1,5,4,8,6,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,6,7,1,4,2]=>[6,1,4,3,2,8,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,5,6,1,4,2,3,8]=>[2,4,3,8,5,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,4,2,3,8,5,6]=>[2,8,5,7,6,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,7,6,3,8,1,4]=>[7,4,2,3,6,1,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,7,6,3,4,2,8]=>[8,4,2,3,6,5,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,1,8,6,2,7,4]=>[6,4,8,1,3,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,5,6,3,7,2,1]=>[5,1,4,3,6,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,5,7,2,1,4,6]=>[6,1,4,2,7,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,7,2,6,8,3,1]=>[5,4,2,7,3,1,6,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,5,3,6,8,1,7]=>[5,7,4,6,3,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,2,7,3,5,4,6]=>[1,8,7,2,6,4,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,2,6,3,4,8]=>[4,2,8,7,3,6,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,7,5,6,3,4,8]=>[8,7,2,4,3,6,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,4,7,2,3,6,8]=>[4,8,5,2,7,6,3,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,8,1,2,3,6,5,7]=>[5,1,8,7,6,3,4,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,2,3,8,7,1,4,5]=>[3,7,6,1,2,8,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,3,6,4,7,5,1]=>[1,7,6,3,5,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,6,4,8,1,5]=>[2,7,6,3,5,1,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,1,3,2,6,8,7]=>[5,4,8,6,7,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,2,4,1,8,3,5]=>[3,2,7,5,8,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,3,2,7,8,4]=>[4,8,3,6,7,2,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,4,2,5,8,3,6]=>[2,8,5,7,4,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,4,5,7,6,1,3,8]=>[7,5,4,2,3,8,6,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [6,3,5,7,4,1,8,2]=>[3,6,4,2,5,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,3,6,7,8,4,2]=>[4,8,6,3,2,1,5,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,3,5,4,2,8,6]=>[2,8,6,4,5,7,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,5,2,1,8,3,6]=>[2,5,4,7,8,1,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,2,3,8,1,5,4]=>[3,2,7,6,1,8,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,6,8,2,4,5,3,1]=>[2,3,1,7,5,4,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,8,6,5,1,3,7]=>[5,7,1,3,4,8,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,8,5,4,7,1,2,6]=>[6,1,4,5,2,8,7,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,8,3,6,2,7,5]=>[8,5,1,6,3,7,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,5,8,6,4,3]=>[7,2,8,4,1,3,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,4,1,6,8,5,3]=>[2,7,5,8,3,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,4,7,2,3,8,5,1]=>[3,5,2,7,6,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,8,5,7,4,2,3]=>[3,8,1,4,2,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,4,3,6,5,8,2]=>[2,8,5,6,3,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,6,7,5,3,1,8,2]=>[5,3,2,4,6,8,1,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,4,6,2,8,7,3,1]=>[4,5,3,7,1,2,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,5,8,6,7,2,3,1]=>[5,4,1,3,2,7,6,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,6,1,2,8,3]=>[5,4,2,3,8,7,1,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,5,7,2,1,8,3]=>[5,3,4,2,7,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,2,4,8,5,6,3,7]=>[8,7,5,1,4,3,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,8,3,4,2,6,5,7]=>[8,1,6,5,7,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,8,6,3,4,1,7]=>[4,7,1,3,6,5,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,4,6,7,1,8,3]=>[4,7,5,3,2,8,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,8,6,3,5,1,2]=>[2,5,1,3,6,4,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,4,6,1,5,7,2]=>[1,6,5,3,8,4,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,4,5,6,1,7,2,3]=>[1,5,4,3,8,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,4,2,3,8,6]=>[2,8,4,5,7,6,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,2,4,3,6,1,8,5]=>[2,7,5,6,3,8,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,4,7,3,1,8,5]=>[3,7,5,2,6,8,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,8,4,2,5,7,3]=>[3,8,1,5,7,4,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,8,1,4,5,7,3]=>[3,7,1,8,5,4,2,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,4,8,1,5,2,7,3]=>[3,5,1,8,4,7,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,4,7,8,6,1,5]=>[7,6,5,2,1,3,8,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,4,8,7,5,1,2,6]=>[6,5,1,2,4,8,7,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,8,6,4,2,7,3,1]=>[4,1,3,5,7,2,6,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,3,7,1,4,2,8,5]=>[3,6,2,8,5,7,1,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,7,5,1,8,4,2,6]=>[6,2,4,8,1,5,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,4,6,7,3,1,5]=>[1,7,5,3,2,6,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,1,6,7,2,3,5]=>[5,1,8,3,2,7,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,1,5,8,3,6]=>[5,2,7,8,4,1,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,2,1,3,4,8,6]=>[4,2,7,8,6,5,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,2,3,1,4,8,7]=>[4,3,7,6,8,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,6,1,2,8,7]=>[4,6,5,3,8,7,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,5,7,6,2,3,4,1]=>[1,4,2,3,7,6,5,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,8,5,2,6,1,4,3]=>[2,1,4,7,3,8,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,4,8,7,6,2]=>[6,4,8,5,1,2,3,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,4,6,5,2,7,3]=>[8,1,5,3,4,7,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,6,7,8,2,5,1]=>[6,5,3,2,1,7,4,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,5,6,7,3,8,1,4]=>[7,4,3,2,6,1,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,7,5,4,6,8,3,2]=>[8,2,4,5,3,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,3,7,8,6,1,4]=>[4,7,6,2,1,3,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,4,8,5,3,1]=>[2,7,3,5,1,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,8,3,4,7,1,6,5]=>[7,1,6,5,2,8,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,8,5,7,6,3,4]=>[8,7,1,4,2,3,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,4,3,6,8,2]=>[4,2,8,5,6,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,4,6,2,1,7,3]=>[4,1,5,3,7,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,2,6,7,4,1,5]=>[6,1,7,3,2,5,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,3,4,7,2,5]=>[8,3,1,6,5,2,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,4,7,5,8,6,3,1]=>[7,5,2,4,1,3,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [5,7,4,6,2,3,8,1]=>[4,2,5,3,7,6,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,8,3,4,1,7,5]=>[7,3,1,6,5,8,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,8,4,2,3,7,6]=>[8,4,1,5,7,6,2,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,1,8,2,7,5,3,6]=>[5,8,1,7,2,4,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,7,2,8,5,3,6]=>[5,8,2,7,1,4,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,6,3,7,4,8,1]=>[7,4,3,6,2,5,1,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,3,8,4,7,1]=>[7,3,4,6,1,5,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,3,7,4,8,1]=>[7,3,4,6,2,5,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,2,8,4,1,6]=>[4,2,6,7,1,5,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,6,1,7,5,3,4]=>[7,1,3,8,2,4,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,5,2,7,4,3,6]=>[1,8,4,7,2,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,4,2,8,5,3,6]=>[2,8,5,7,1,4,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,8,1,7,5,3,4]=>[7,3,1,8,2,4,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,6,5,3,8,2,7]=>[8,5,3,4,6,1,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,5,8,7,1,3,6]=>[7,5,4,1,2,8,6,3]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,1,6,8,7,5,4,2]=>[6,8,3,1,2,4,5,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,1,8,7,5,6,4,2]=>[6,8,1,2,4,3,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,1,8,7,6,3,4,2]=>[4,8,1,2,3,6,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,2,7,5,3,6,4,1]=>[1,7,2,4,6,3,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,5,7,6,1,3,4]=>[7,1,4,2,3,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,7,2,6,4,5,3]=>[8,1,2,7,3,5,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,7,6,2,5,3]=>[8,1,5,2,3,7,4,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,5,8,4,2,6,7]=>[8,6,4,1,5,7,3,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,3,8,1,7,5,2,6]=>[5,6,1,8,2,4,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,7,8,2,1,5,6,4]=>[6,2,1,7,8,4,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,2,5,7,1,6,4,3]=>[1,7,4,2,8,3,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,6,2,1,5,4,7]=>[1,6,3,7,8,4,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,8,1,4,5,7,2]=>[3,6,1,8,5,4,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,3,8,5,2,7,6,1]=>[5,6,1,4,7,2,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,4,6,7,3,5,1,8]=>[7,5,3,2,6,4,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,7,3,6,8,2,5,4]=>[8,2,6,3,1,7,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,3,7,6,2,5,8,1]=>[5,6,2,3,7,4,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,4,5,8,7,2,6,1]=>[6,5,4,1,2,7,3,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,8,4,6,2,7,5,1]=>[6,1,5,3,7,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,5,2,6,7,4,1]=>[6,1,4,7,3,2,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,6,5,8,3,4,7,1]=>[7,3,4,1,6,5,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,8,5,2,6,1,7]=>[5,6,1,4,7,3,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,5,4,1,8,2,7]=>[6,3,4,5,8,1,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,6,4,7,5,2,1,8]=>[6,3,5,2,4,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,4,5,3,1,7,6]=>[7,1,5,4,6,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,5,3,4,1,8,6]=>[2,7,4,6,5,8,1,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,5,4,1,8,7,3]=>[7,3,4,5,8,1,2,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,6,5,4,1,7,3,8]=>[7,3,4,5,8,2,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,6,4,1,2,8,7,3]=>[4,3,5,8,7,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,4,1,2,6,8,3]=>[4,2,5,8,7,3,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,4,1,5,2,3,8]=>[3,2,5,8,4,7,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,6,7,5,3,1,4]=>[7,1,3,2,4,6,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,4,5,2,6,3,1,8]=>[2,5,4,7,3,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,7,3,1,2,5,6]=>[1,5,2,6,8,7,4,3]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [4,8,3,2,6,1,7,5]=>[5,1,6,7,3,8,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,7,6,1,5,2,8]=>[5,6,2,3,8,4,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,8,5,3,1,2,7]=>[5,3,1,4,6,8,7,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,8,4,3,7,2,1]=>[4,3,1,5,6,2,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,5,8,4,2,1,6,3]=>[2,4,1,5,7,8,3,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,4,8,7,6,2,5,3]=>[8,5,1,2,3,7,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,8,5,4,3,6,1,7]=>[7,1,4,5,6,3,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,6,5,3,2,8,1]=>[2,5,3,4,6,7,1,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,6,7,2,3,8,4,1]=>[4,3,2,7,6,1,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,5,7,1,4,3,8]=>[3,7,4,2,8,5,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,5,3,1,2,6,7]=>[5,1,4,6,8,7,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,5,3,4,7,2,6,8]=>[8,4,6,5,2,7,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,4,6,1,5,7,3,2]=>[1,5,3,8,4,2,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,3,1,2,4,8,5]=>[3,2,6,8,7,5,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,1,8,7,6,2,5,4]=>[6,8,1,2,3,7,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,3,8,6,7,2,5,4]=>[8,6,1,3,2,7,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,6,1,8,4,7]=>[4,7,6,3,8,1,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,2,5,7,8,4,1]=>[6,3,7,4,2,1,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,7,4,6,8,3,5,1]=>[7,2,5,3,1,6,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,8,1,5,4,2]=>[6,2,3,1,8,4,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,7,6,8,4,2,3]=>[8,4,2,3,1,5,7,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,6,8,5,3,1]=>[7,2,5,3,1,4,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,7,6,8,5,1,4,2]=>[6,2,3,1,4,8,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,3,8,6,2,4,5]=>[2,8,6,1,3,7,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,1,8,6,5,3,4]=>[7,2,8,1,3,4,6,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,3,4,1,5,8,7]=>[3,7,6,5,8,4,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,6,5,4,3,7,2]=>[1,8,3,4,5,6,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,5,2,6,4,7,3]=>[1,8,4,7,3,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,7,2,5,3,6,8]=>[5,8,2,7,4,6,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,4,1,8,6,2,7]=>[4,6,5,8,1,3,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,7,3,6,2,4,8,5]=>[8,2,6,3,7,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,7,5,1,2,3,8]=>[5,3,2,4,8,7,6,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [5,3,4,7,6,2,1,8]=>[4,6,5,2,3,7,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,3,4,6,1,7,2,8]=>[4,6,5,3,8,2,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,8,2,1,7,5]=>[3,6,5,1,7,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,5,6,8,1,4,3]=>[2,7,4,3,1,8,5,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,8,4,7,2,6]=>[6,8,4,1,5,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,5,7,2,6,3]=>[5,8,1,4,2,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,8,2,7,5,6,3]=>[5,8,1,7,2,4,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,6,8,2,4,3,5,1]=>[2,3,1,7,5,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,2,4,8,6,3]=>[4,8,2,7,5,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,5,8,4,1,3,2,7]=>[3,4,1,5,8,6,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,2,3,6,5,1,7]=>[5,1,7,6,3,4,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,8,1,6,3,7]=>[5,7,4,1,8,3,6,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,8,2,3,1,6,7]=>[4,5,1,7,6,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,4,8,3,5,1,7]=>[7,3,5,1,6,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,8,5,3,2,7,6]=>[8,5,1,4,6,7,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,5,8,4,6,7,1,2]=>[6,4,1,5,3,2,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,4,8,5,7,3,6]=>[8,7,5,1,4,2,6,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,3,1,8,2,4,7]=>[4,3,6,8,1,7,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,6,5,1,8,4,2]=>[2,6,3,4,8,1,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,5,2,7,1,8,4]=>[6,3,4,7,2,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,7,4,1,8,6,2]=>[6,4,2,5,8,1,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,5,7,2,1,3,8,4]=>[3,4,2,7,8,6,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,2,6,7,5,8,3]=>[5,8,7,3,2,4,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,5,6,4,1,8,3,2]=>[2,4,3,5,8,1,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,1,3,5,6,8,4,2]=>[2,8,6,4,3,1,5,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,1,3,5,6,8,2,4]=>[2,8,6,4,3,1,7,5]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,4,3,8,1,7,6]=>[7,4,5,6,1,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,2,8,4,6,5,7]=>[6,8,7,1,5,3,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,4,3,8,6,1,7]=>[7,4,5,6,1,3,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,8,1,7,4,3,5]=>[3,7,1,8,2,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,8,3,1,2,7,6]=>[4,5,1,6,8,7,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,4,6,8,5,3,2]=>[2,8,5,3,1,4,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,5,1,6,4,8,3]=>[2,7,4,8,3,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,1,5,6,4,8,3]=>[7,2,8,4,3,5,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,8,4,6,3,2]=>[8,4,2,1,5,3,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,4,8,5,7,6,3,2]=>[8,5,1,4,2,3,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,1,5,6,4,7,3]=>[7,1,8,4,3,5,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,8,1,5,6,4]=>[6,2,7,1,8,4,3,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,2,1,8,4,7,5]=>[6,3,7,8,1,5,2,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,1,7,6,4,8,2]=>[6,4,8,2,3,5,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,6,2,1,8,3]=>[4,5,2,3,7,8,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,5,2,8,7,1,6,4]=>[6,4,7,1,2,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,6,5,4,1,8,2]=>[6,2,3,4,5,8,1,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [4,6,5,3,1,8,7,2]=>[5,3,4,6,8,1,2,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,5,2,6,7,3,8,1]=>[5,4,7,3,2,6,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,6,7,4,3,1,5,2]=>[1,3,2,5,6,8,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,7,1,8,5,3,2,6]=>[5,2,8,1,4,6,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,8,4,3,6,2,7]=>[4,8,1,5,6,3,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,6,7,1,4,3,5,2]=>[1,3,2,8,5,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,4,1,2,7,6,5]=>[1,6,5,8,7,2,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,5,6,1,7,4,2,3]=>[1,4,3,8,2,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,6,8,2,7,5,3]=>[5,8,3,1,7,2,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,5,4,2,7,3,8]=>[3,8,4,5,7,2,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,4,6,1,8,2,7,5]=>[6,5,3,8,1,7,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,2,7,1,3,8]=>[3,5,4,7,2,8,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,2,7,6,4,5,8]=>[6,8,7,2,3,5,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,1,7,2,4,3,8]=>[4,3,8,2,7,5,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,6,8,1,2,7,4]=>[6,4,3,1,8,7,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,3,7,1,5,6,4,8]=>[7,6,2,8,4,3,5,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,5,3,4,1,7,8]=>[7,3,4,6,5,8,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,3,5,4,7,8]=>[7,3,8,6,4,5,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,4,2,7,8,3]=>[3,8,4,5,7,2,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,6,1,5,2,7,8,3]=>[5,3,8,4,7,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,6,5,1,3,7,4]=>[7,1,3,4,8,6,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,1,8,6,2,7,4,3]=>[4,8,1,3,7,2,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,6,4,1,7,2,8,3]=>[4,3,5,8,2,7,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,5,3,8,7,2,6]=>[8,5,4,6,1,2,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,1,6,8,5,7,2]=>[6,5,8,3,1,4,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,1,5,7,4,2]=>[6,1,3,8,4,2,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,6,7,1,3,5,4,2]=>[1,3,2,8,6,4,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,5,8,2,1,6,4,7]=>[6,4,1,7,8,3,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,1,3,8,5,7,4,2]=>[3,8,6,1,4,2,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,6,3,4,2,5,7]=>[1,8,3,6,5,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,1,5,8,7,6,2]=>[6,5,8,4,1,2,3,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,1,5,7,8,6,2]=>[6,5,8,4,2,1,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,4,1,5,8,6,7,2]=>[6,5,8,4,1,3,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,3,6,1,7,4]=>[7,4,1,6,3,8,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,2,4,7,3,8]=>[4,8,3,7,5,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,4,7,2,5,3,8]=>[3,8,5,2,7,4,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,7,3,6,1,4,8]=>[7,4,2,6,3,8,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,4,5,1,8,2,6]=>[6,2,5,4,8,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,2,5,4,3,8,1]=>[3,2,7,4,5,6,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,5,6,8,4,1,7]=>[7,6,4,3,1,5,8,2]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [3,7,5,6,4,1,2,8]=>[6,2,4,3,5,8,7,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,1,5,3,4,2,8]=>[3,2,8,4,6,5,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,6,2,5,8,1,7]=>[5,6,3,7,4,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,6,4,5,7,3,2,8]=>[8,3,5,4,2,6,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,4,5,7,2,8,3]=>[8,3,5,4,2,7,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,6,7,3,2,4,8]=>[8,4,3,2,6,7,5,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [3,1,5,4,2,7,8,6]=>[6,8,4,5,7,2,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,7,6,1,3,2,8]=>[4,5,2,3,8,6,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,7,6,1,5,3,4]=>[1,7,2,3,8,4,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,6,5,8,3,2,7]=>[8,5,3,4,1,6,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,4,3,8,7,1,6]=>[4,7,5,6,1,2,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,2,8,4,1,7,5,6]=>[6,7,1,5,8,2,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,4,3,1,7,5,6]=>[1,7,5,6,8,2,4,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,6,8,2,1,5,3,4]=>[2,3,1,7,8,4,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,4,6,7,2,1,8,3]=>[4,5,3,2,7,8,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,2,5,4,1,8,3]=>[3,2,7,4,5,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,8,4,7,5,6,2]=>[6,8,1,5,2,4,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,2,4,1,6,5,7]=>[6,1,7,5,8,3,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,5,8,6,1,7]=>[7,5,6,4,1,3,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,6,8,3,2,4,5]=>[2,8,3,1,6,7,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,3,6,1,2,5,4]=>[2,1,6,3,8,7,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,2,6,4,1,8,3]=>[4,2,7,3,5,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,7,6,2,3,5,4]=>[1,8,2,3,7,6,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,5,7,4,2,8,1]=>[3,6,4,2,5,7,1,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,8,6,5,2,7,4]=>[8,6,1,3,4,7,2,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,7,3,8,5,6,4,1]=>[7,2,6,1,4,3,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,2,8,5,7,4,6,3]=>[8,7,1,4,2,5,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,5,6,7,1,2]=>[6,1,5,4,3,2,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,1,3,7,4,6,8,5]=>[7,8,6,2,5,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,1,8,3,2,6,4]=>[4,2,8,1,6,7,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,4,1,8,6,5,3]=>[2,7,5,8,1,3,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,2,3,5,1,6,4,8]=>[2,7,6,4,8,3,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,3,8,6,4,7,5]=>[7,8,6,1,3,5,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,8,1,3,2,5,6]=>[2,5,1,8,6,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,6,1,3,2,5,8]=>[5,2,3,8,6,7,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,4,3,7,6,2,1]=>[4,1,5,6,2,3,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [8,1,5,3,4,7,2,6]=>[1,8,4,6,5,2,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,8,6,4,3,7,2]=>[8,4,1,3,5,6,2,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,8,6,4,2,1,7,3]=>[4,1,3,5,7,8,2,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,6,1,8,4,7,5,3]=>[7,3,8,1,5,2,4,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,8,6,1,2,7,4]=>[4,6,1,3,8,7,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,1,4,6,2,7,3]=>[4,1,8,5,3,7,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,6,2,1,4,8,5]=>[6,2,3,7,8,5,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,6,7,4,2,1,8,5]=>[6,3,2,5,7,8,1,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,8,5,6,3,7,1,2]=>[5,1,4,3,6,2,8,7]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,6,5,7,2,1]=>[5,1,6,3,4,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,7,5,1,3,4,2]=>[3,1,2,4,8,6,5,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,7,6,1,5,3,8,4]=>[7,2,3,8,4,6,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,8,7,1,3,2]=>[3,5,4,1,2,8,6,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,6,3,2,1,8,4]=>[2,4,3,6,7,8,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,5,6,2,3,1,8,4]=>[2,4,3,7,6,8,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,4,6,2,5,8,3]=>[8,2,5,3,7,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,2,5,7,6,1,4]=>[6,1,7,4,2,3,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,3,8,2,7,4,6,1]=>[4,6,1,7,2,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,8,5,3,7,4,1]=>[3,7,1,4,6,2,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,4,7,2,1,3,8,6]=>[4,5,2,7,8,6,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,6,4,5,7,1,8,3]=>[7,3,5,4,2,8,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,6,1,5,8,2]=>[6,2,5,3,8,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,6,5,2,8,1,7]=>[6,5,3,4,7,1,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,6,7,5,8,2,1,3]=>[5,3,2,4,1,7,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,1,4,7,2,8]=>[4,3,6,8,5,2,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,5,8,4,7,6,1]=>[7,6,4,1,5,2,3,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [8,2,6,5,1,4,7,3]=>[1,7,3,4,8,5,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,3,1,8,4,2,7]=>[4,3,6,8,1,5,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,6,4,3,8,2,5]=>[2,8,3,5,6,1,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,2,1,4,8,3,5]=>[3,2,7,8,5,1,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,6,7,3,2,5,4,1]=>[1,3,2,6,7,4,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,1,4,6,2,7,8,3]=>[4,8,5,3,7,2,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,2,5,3,7,8,6,4]=>[8,7,4,6,2,1,3,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,3,5,1,2,7,6]=>[5,1,6,4,8,7,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,3,7,2,8,4,5]=>[3,8,6,2,7,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,5,8,2,6,7,4]=>[6,8,4,1,7,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,5,3,1,7,4,6]=>[7,1,4,6,8,2,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,1,3,7,5,8,4,6]=>[7,8,6,2,4,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,5,7,1,8,3]=>[3,7,5,4,2,8,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,7,1,4,6,5]=>[7,6,1,2,8,5,3,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,2,7,5,6,8,1,3]=>[5,7,2,4,3,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,4,7,6,5,2,3,8]=>[8,5,2,3,4,7,6,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [2,7,3,5,1,4,6,8]=>[7,2,6,4,8,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,7,8,3,5,1,4,6]=>[7,2,1,6,4,8,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,5,1,3,6,8,2]=>[2,5,4,8,6,3,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,2,7,4,5,1,3,6]=>[1,7,2,5,4,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,1,3,7,6,5,8]=>[7,5,8,6,2,3,4,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,5,4,7,3,1,8]=>[3,7,4,5,2,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,8,3,5,6,4,1]=>[2,7,1,6,4,3,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,2,5,4,7,3,1]=>[3,1,7,4,5,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,8,1,4,7,3,2]=>[4,3,1,8,5,2,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,1,3,8,6,5,2,4]=>[2,8,6,1,3,4,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,3,4,1,8,2,5,7]=>[3,6,5,8,1,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,8,7,3,6,2,4]=>[4,8,1,2,6,3,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,8,2,3,1,7,5]=>[5,3,1,7,6,8,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,3,5,1,8,6]=>[5,2,7,6,4,8,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,2,6,1,8,3]=>[4,2,5,7,3,8,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,1,6,2,8,3]=>[4,5,2,8,3,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,5,8,7,6,2,1,3]=>[5,4,1,2,3,7,8,6]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,7,1,8,2,4,3,6]=>[4,2,8,1,7,5,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,1,2,5,8,4,3]=>[3,2,8,7,4,1,5,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,1,4,6,5,2,3,7]=>[1,8,5,3,4,7,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,6,3,7,2,5,1]=>[5,1,3,6,2,7,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,1,6,4,7,5]=>[1,7,6,8,3,5,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,8,3,7,6,2,5,4]=>[8,1,6,2,3,7,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,3,2,7,4,6,8,5]=>[8,6,7,2,5,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,8,4,6,2,7,5]=>[8,6,1,5,3,7,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,5,8,4,1,6,7]=>[7,6,4,1,5,8,3,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,8,4,3,6,7,1]=>[7,4,1,5,6,3,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,8,4,6,7,2,3,1]=>[4,1,5,3,2,7,6,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,8,6,7,3,1]=>[5,7,4,1,3,2,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,8,5,4,2,7]=>[3,8,6,1,4,5,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,6,1,2,5,4,7,8]=>[6,3,8,7,4,5,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,6,4,2,1,7,3,8]=>[4,3,5,7,8,2,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,2,7,6,5,1,8,4]=>[6,7,2,3,4,8,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,3,7,6,4,8,5,1]=>[7,6,2,3,5,1,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,7,8,6,2,3,1]=>[5,4,2,1,3,7,6,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,4,7,1,2,5,3,8]=>[3,5,2,8,7,4,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,6,7,5,4,1,8,2]=>[6,3,2,4,5,8,1,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,2,3,6,4,7,1,5]=>[1,7,6,3,5,2,8,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,6,5,2,7,1,3]=>[1,5,3,4,7,2,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,5,1,2,3,7,6]=>[1,5,4,8,7,6,2,3]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,1,7,2,3,8,6,5]=>[5,8,2,7,6,1,3,4]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,5,2,7,8,3,4]=>[8,3,4,7,2,1,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,2,7,5,8,6,3,4]=>[8,7,2,4,1,3,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,5,1,6,8,2,3]=>[2,5,4,8,3,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,7,8,4,2,6,3,5]=>[8,2,1,5,7,3,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,2,8,4,6,3,1,7]=>[4,7,1,5,3,6,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,8,5,2,7,3,1]=>[3,5,1,4,7,2,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,2,3,1,8,4,5,7]=>[3,7,6,8,1,5,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,1,5,2,4,8,6]=>[6,2,8,4,7,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,7,5,1,2,3,8]=>[3,5,2,4,8,7,6,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,7,5,8,3,2,4,6]=>[8,2,4,1,6,7,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,8,5,7,2,4,6]=>[8,6,1,4,2,7,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,8,5,6,4,1,7]=>[6,7,1,4,3,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,2,5,6,4,1,7]=>[6,1,7,4,3,5,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,2,6,8,7,1,4,3]=>[4,7,3,1,2,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,5,6,2,7,4,3]=>[1,8,4,3,7,2,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,4,3,1,5,8,6]=>[7,2,5,6,8,4,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [3,8,1,6,2,7,4,5]=>[6,1,8,3,7,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,2,7,3,6,8,4]=>[8,4,7,2,6,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,7,6,2,8,5,3]=>[8,5,2,3,7,1,4,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,5,8,3,2,6,4,7]=>[8,4,1,6,7,3,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,2,5,1,3,8,7,4]=>[3,7,4,8,6,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,8,5,1,3,7,4]=>[3,7,1,4,8,6,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,7,8,3,6,5,2]=>[5,8,2,1,6,3,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,8,4,2,1,3,6,7]=>[4,1,5,7,8,6,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [6,7,1,4,8,2,3,5]=>[3,2,8,5,1,7,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,1,2,3,5,4,7]=>[3,1,8,7,6,4,5,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,3,5,7,1,8,2,4]=>[3,6,4,2,8,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,5,7,1,8,4,2]=>[3,6,4,2,8,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,6,2,4,1,5,8]=>[2,6,3,7,5,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,5,8,4,3,6,2]=>[8,2,4,1,5,6,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,8,3,5,1,6,4]=>[7,2,1,6,4,8,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,5,8,1,6,4]=>[7,6,2,4,1,8,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,7,8,1,3,6,4]=>[7,4,2,1,8,6,3,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [2,5,7,8,3,6,4,1]=>[7,4,2,1,6,3,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [5,8,1,6,4,7,2,3]=>[4,1,8,3,5,2,7,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,7,5,1,8,6,3]=>[7,5,2,4,8,1,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,3,7,1,8,5,6,4]=>[7,6,2,8,1,4,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,5,1,8,7,4,2]=>[6,3,4,8,1,2,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,4,5,8,1,3,2,6]=>[2,5,4,1,8,6,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,2,1,6,4,3,8]=>[4,2,7,8,3,5,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,1,2,5,4,3,6]=>[2,1,8,7,4,5,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,7,2,6,5,3,4]=>[1,8,2,7,3,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,7,8,6,5,3,1]=>[5,7,2,1,3,4,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,1,2,7,6,5,4,8]=>[6,8,7,2,3,4,5,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,7,8,1,6,4,3,5]=>[7,2,1,8,3,5,6,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,7,6,1,5,2,8]=>[6,5,2,3,8,4,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,1,6,8,4,2,3]=>[4,2,8,3,1,5,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,7,6,8,5,2,3]=>[5,8,2,3,1,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,7,6,5,8,1,2]=>[6,5,2,3,4,1,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,4,3,5,1,7,6]=>[7,1,5,6,4,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,2,6,5,7,1]=>[6,1,5,7,3,4,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,5,3,6,8,7,1]=>[5,7,4,6,3,1,2,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,4,1,6,5,7,2]=>[6,1,5,8,3,4,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,5,2,6,4,7,3]=>[8,1,4,7,3,5,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,1,6,4,7,2]=>[6,1,4,8,3,5,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,1,6,3,7,2]=>[5,1,4,8,3,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,1,5,8,6,3,7,2]=>[5,8,4,1,3,6,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,3,6,2,7,8]=>[5,8,4,6,3,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,5,7,4,8,6,2]=>[6,8,4,2,5,1,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,6,4,1,5,3,8]=>[2,7,3,5,8,4,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,2,6,5,8,3,7,4]=>[8,7,3,4,1,6,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,6,1,4,2,8]=>[2,6,4,3,8,5,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,3,1,6,7,4,2]=>[4,1,6,8,3,2,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,8,1,7,3,6,2]=>[5,4,1,8,2,6,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,6,8,5,2,3]=>[5,2,8,3,1,4,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,7,1,6,4,2,3]=>[4,1,2,8,3,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,8,3,2,5,7,6]=>[5,8,1,6,7,4,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,3,8,2,5,4,6]=>[8,2,6,1,7,4,5,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,1,5,7,4,3]=>[1,7,3,8,4,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,6,1,3,7,5,8,4]=>[7,3,8,6,2,4,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,7,6,3,8,4]=>[7,4,8,2,3,6,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,2,4,6,1,7,3]=>[4,1,7,5,3,8,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,7,8,5,2,6,3]=>[8,5,2,1,4,7,3,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,8,5,2,6,4,1,7]=>[6,1,4,7,3,5,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,5,7,6,1,4,3]=>[1,7,4,2,3,8,5,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,1,6,4,2,8,3]=>[4,2,8,3,5,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,1,6,5,8,4,3]=>[7,2,8,3,4,1,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,6,1,7,5,4,8]=>[7,6,3,8,2,4,5,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,4,8,6,5,3]=>[7,2,8,5,1,3,4,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,7,5,4,1,3,2,8]=>[3,2,4,5,8,6,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,3,2,1,4,8,6]=>[4,2,6,7,8,5,1,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,6,3,2,4,7,1]=>[4,1,3,6,7,5,2,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,2,7,1,4,3,5,8]=>[3,7,2,8,5,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,2,3,8,4,6,5]=>[2,8,7,6,1,5,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,1,3,5,2,7,6,8]=>[5,8,6,4,7,2,3,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,7,6,2,8,3,1]=>[5,4,2,3,7,1,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,8,5,4,3,7,1]=>[3,7,1,4,5,6,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,8,4,7,6,1,2,3]=>[4,1,5,2,3,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,6,7,4,8,1,5,3]=>[7,3,2,5,1,8,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,5,4,1,3,7]=>[7,1,3,4,5,8,6,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [8,3,4,2,1,6,7,5]=>[1,6,5,7,8,3,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,8,4,3,1,2,7,5]=>[3,1,5,6,8,7,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,3,7,1,4,6,8]=>[7,4,6,2,8,5,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,6,8,4,7,1,3,5]=>[7,3,1,5,2,8,6,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,8,4,1,5,3,6]=>[7,2,1,5,8,4,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,3,4,2,1,5,7,6]=>[1,6,5,7,8,4,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,3,8,4,7,5,2]=>[3,8,6,1,5,2,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,1,7,8,6,3,2]=>[5,4,8,2,1,3,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,2,5,6,8,3,7,1]=>[5,7,4,3,1,6,2,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,4,8,1,2,6,5,3]=>[2,5,1,8,7,3,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,4,8,2,3,5,7]=>[8,3,5,1,7,6,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,8,3,7,5,4,2]=>[8,3,1,6,2,4,5,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [7,3,6,5,1,8,2,4]=>[2,6,3,4,8,1,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,4,1,8,6,3,5]=>[2,7,5,8,1,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,8,2,7,3,5,4]=>[8,3,1,7,2,6,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,7,2,1,3,6,5]=>[5,1,2,7,8,6,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,4,8,1,7,2,3,6]=>[4,5,1,8,2,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,8,5,6,4,1,7,3]=>[7,1,4,3,5,8,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,8,2,5,1,6,4]=>[6,2,1,7,4,8,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,8,2,4,1,5,6]=>[2,6,1,7,5,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,7,8,1,2,5,4]=>[3,6,2,1,8,7,4,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,8,6,7,2,3,4]=>[4,8,1,3,2,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,7,1,6,8,2,3,4]=>[4,2,8,3,1,7,6,5]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,8,4,2,1,7,3,5]=>[3,1,5,7,8,2,6,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,5,6,3,7,4,2]=>[8,1,4,3,6,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,7,8,2,4,1,5,3]=>[3,2,1,7,5,8,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,1,7,4,6,5,8]=>[7,6,8,2,5,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,7,5,4,6,1]=>[7,1,6,2,4,5,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,5,4,3,7,1,2]=>[3,1,4,5,6,2,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,3,2,7,4,5,6]=>[8,1,6,7,2,5,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,7,3,2,8,6]=>[5,4,8,2,6,7,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,6,7,4,3,5,2]=>[8,1,3,2,5,6,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,8,2,3,4,6,5]=>[8,2,1,7,6,5,3,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,2,1,6,5,8,4]=>[6,2,7,8,3,4,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,4,2,8,5,7]=>[8,3,6,5,7,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,3,8,1,6,4,7]=>[4,7,6,1,8,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,8,4,3,1,5,6]=>[7,2,1,5,6,8,4,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,5,8,4,2,7,1,6]=>[6,4,1,5,7,2,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,6,7,4,1,2,8]=>[6,4,3,2,5,8,7,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,1,3,6,8,4,2,7]=>[4,8,6,3,1,5,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,8,7,1,2,3]=>[4,3,5,1,2,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,5,2,7,6,3,4]=>[8,1,4,7,2,3,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,4,6,3,1,5,7]=>[1,7,5,3,6,8,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,8,3,1,5,2,7]=>[5,3,1,6,8,4,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,3,6,4,8,1,2,7]=>[4,6,3,5,1,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,6,5,2,1,7,8,4]=>[6,3,4,7,8,2,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,8,3,1,2,6]=>[4,2,5,1,6,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,7,2,8,1,4,6,5]=>[6,2,7,1,8,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,8,3,6,2,1,7]=>[5,4,1,6,3,7,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,7,5,1,2,4,8]=>[3,6,2,4,8,7,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,1,2,6,4,7,3,8]=>[4,8,7,3,5,2,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,4,8,3,7,5]=>[3,8,7,5,1,6,2,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,8,1,4,5,3]=>[3,2,7,1,8,5,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,4,5,6,3,8,2]=>[2,8,5,4,3,6,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,6,3,1,4,7,8]=>[7,4,3,6,8,5,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,7,1,3,5,2,4,8]=>[3,2,8,6,4,7,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,4,5,6,2,3,8]=>[2,8,5,4,3,7,6,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,5,6,8,1,4,7,3]=>[7,4,3,1,8,5,2,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,1,6,5,2,3,8,7]=>[5,8,3,4,7,6,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,5,1,7,8,6,2,3]=>[5,4,8,2,1,3,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,7,4,3,5,2,1]=>[3,1,2,5,6,4,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,8,6,2,4,7,3,1]=>[4,1,3,7,5,2,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,6,2,5,7,3,1]=>[5,1,3,7,4,2,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,8,7,4,5,3,2]=>[8,3,1,2,5,4,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,4,7,5,3,2,6,8]=>[8,5,2,4,6,7,3,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,7,5,4,3,2,8,6]=>[8,2,4,5,6,7,1,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,8,7,2,3,5,4,1]=>[3,1,2,7,6,4,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,7,6,1,8,2,4,3]=>[4,2,3,8,1,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,5,7,2,3,1]=>[5,1,3,4,2,7,6,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,4,8,1,2,5,7]=>[6,3,5,1,8,7,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,2,1,6,4,8,3]=>[4,2,7,8,3,5,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,6,1,4,8,3]=>[7,2,4,3,8,5,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,1,7,6,8,3,5]=>[7,5,8,2,3,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,7,6,8,1,5]=>[7,5,6,2,3,1,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,4,3,7,8,2]=>[4,8,3,5,6,2,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,6,1,3,7,5,2]=>[1,5,3,8,6,2,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,3,6,4,5,2,7]=>[1,8,6,3,5,4,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,4,7,8,2,6,3]=>[8,4,5,2,1,7,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,4,8,3,5,6]=>[2,8,7,5,1,6,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,5,8,2,3,4,6]=>[2,8,4,1,7,6,5,3]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,6,8,5,1,4,2,7]=>[6,3,1,4,8,5,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,2,4,1,6,8,3,7]=>[4,7,5,8,3,1,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,5,2,3,4,6,8]=>[2,8,4,7,6,5,3,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [5,7,4,8,1,6,3,2]=>[4,2,5,1,8,3,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,3,4,6,2,1,8]=>[4,2,6,5,3,7,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,3,5,6,2,4,1,8]=>[2,6,4,3,7,5,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,2,5,6,1,4,8]=>[6,2,7,4,3,8,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,2,7,5,8,6,4]=>[6,8,7,2,4,1,3,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,2,5,1,6,4,8]=>[6,2,7,4,8,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,8,2,7,6,3,1]=>[5,4,1,7,2,3,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,5,7,2,6,4,3,8]=>[8,4,2,7,3,5,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,5,1,4,7,2,8]=>[3,6,4,8,5,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,4,6,1,5,2,8]=>[2,6,5,3,8,4,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,8,1,7,4,2]=>[4,6,3,1,8,2,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,7,2,3,5,1,6]=>[1,5,2,7,6,4,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,3,7,8,1,6,4,5]=>[7,6,2,1,8,3,5,4]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,3,7,6,5,4,1,2]=>[1,6,2,3,4,5,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,2,4,7,8,5,6,3]=>[8,7,5,2,1,4,3,6]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [8,3,6,5,7,4,2,1]=>[1,6,3,4,2,5,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,4,7,1,5,2,6,3]=>[1,5,2,8,4,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,5,3,7,6,4,1]=>[1,7,4,6,2,3,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,5,7,1,4,3,6,2]=>[1,4,2,8,5,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,1,5,3,2,6,7,8]=>[5,8,4,6,7,3,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,1,2,6,4,3,7,8]=>[4,8,7,3,5,6,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,2,7,4,3,6,8]=>[4,8,7,2,5,6,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,8,1,7,4,2,6]=>[4,6,1,8,2,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,7,2,4,6,3,1]=>[4,1,2,7,5,3,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,3,1,2,8,4,7]=>[4,3,6,8,7,1,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,8,4,6,1,2,7]=>[4,6,1,5,3,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,3,1,6,2,4,7]=>[4,1,6,8,3,7,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,8,3,1,4,2,7]=>[4,3,1,6,8,5,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,4,7,8,1,6,2]=>[6,4,5,2,1,8,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,3,6,8,7,1,2]=>[5,4,6,3,1,2,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,7,2,8,5,3]=>[5,8,3,2,7,1,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,5,8,7,3,4]=>[7,8,3,4,1,2,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,4,5,7,1,8,3,2]=>[3,5,4,2,8,1,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,2,5,7,3,6,1]=>[5,1,7,4,2,6,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,2,7,8,3,1,6]=>[5,4,7,2,1,6,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,6,8,1,4,3,7]=>[7,4,3,1,8,5,6,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,7,8,2,5,4,1]=>[6,3,2,1,7,4,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,7,8,1,6,2,5,4]=>[6,2,1,8,3,7,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,2,6,3,5,1]=>[5,2,1,7,3,6,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,8,2,7,1,4,3]=>[4,3,1,7,2,8,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,2,7,1,3,6]=>[5,4,1,7,2,8,6,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,4,7,3,8,2]=>[3,8,4,5,2,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,2,5,6,7,1,8,4]=>[6,7,4,3,2,8,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,1,7,3,8,2]=>[3,5,4,8,2,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,5,3,7,2,8,4]=>[3,8,4,6,2,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,1,7,6,3,2,4,8]=>[4,8,2,3,6,7,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,5,7,6,1,3,4,2]=>[1,4,2,3,8,6,5,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,2,6,1,5,3,4,7]=>[1,7,3,8,4,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,7,5,1,8,3,4,2]=>[3,2,4,8,1,6,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,1,5,3,4,8]=>[7,3,2,8,4,6,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,5,7,1,3,4,2]=>[3,1,4,2,8,6,5,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,4,7,6,1,5,3,2]=>[1,5,2,3,8,4,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,1,8,4,2,7,6,5]=>[6,8,1,5,7,2,3,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,7,4,1,3,6,5]=>[7,1,2,5,8,6,3,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,2,3,1,7,6,4,5]=>[1,7,6,8,2,3,5,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,5,8,3,1,4,6]=>[2,7,4,1,6,8,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,2,3,1,7,4,5]=>[3,1,7,6,8,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,5,7,3,1,4,6]=>[1,7,4,2,6,8,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,1,6,2,7,8,5,4]=>[6,8,3,7,2,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,4,3,8,5,1,2]=>[3,2,5,6,1,4,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,7,1,8,5,4]=>[3,7,6,2,8,1,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,6,7,4,1,3,5,2]=>[1,3,2,5,8,6,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,6,3,2,5,1,8,7]=>[5,3,6,7,4,8,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,3,2,6,5,7,1]=>[5,1,6,7,3,4,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,6,2,5,4,7,3]=>[1,8,3,7,4,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,3,8,6,1,7,5]=>[7,5,6,1,3,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,3,8,5,4,7,1]=>[7,3,6,1,4,5,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,4,6,5,3,7,2]=>[1,8,5,3,4,6,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,4,6,1,2,8,7]=>[6,4,5,3,8,7,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,6,1,8,2,4]=>[2,6,4,3,8,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,7,2,3,5,8,1]=>[5,3,2,7,6,4,1,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,4,1,7,5,6,2]=>[6,1,5,8,2,4,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,5,2,3,7,8]=>[5,3,8,4,7,6,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,4,3,6,2,1,8]=>[4,2,5,6,3,7,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,1,2,6,8,5,3]=>[5,2,8,7,3,1,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,4,6,8,1,5,3]=>[2,7,5,3,1,8,4,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,5,4,7,8,1,3]=>[3,7,4,5,2,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,2,6,1,7,4,5]=>[6,1,7,3,8,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,8,5,2,6,1]=>[5,6,2,1,4,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,6,1,8,4,2,3,7]=>[4,3,8,1,5,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,7,4,2,3,8,5]=>[3,8,2,5,7,6,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,3,7,5,2,8,6,1]=>[5,6,2,4,7,1,3,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,1,7,6,2,4,3,8]=>[4,8,2,3,7,5,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,4,8,1,5,3,6,2]=>[2,5,1,8,4,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,1,6,8,3,5,4,7]=>[7,8,3,1,6,4,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,4,1,7,5,8]=>[3,7,6,5,8,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,7,6,3,5,4,8]=>[7,8,2,3,6,4,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,1,6,4,3,5,8]=>[7,2,8,3,5,6,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,1,6,4,5,7,2]=>[6,1,8,3,5,4,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,8,3,6,1,7,2]=>[5,4,1,6,3,8,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,4,2,5,6,8]=>[6,2,8,5,7,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,5,3,2,6,8,1]=>[5,2,4,6,7,3,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,6,3,4,1,5,7,8]=>[7,3,6,5,8,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,4,6,8,1,2,5]=>[6,2,5,3,1,8,7,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,8,7,2,3,1,6]=>[5,4,1,2,7,6,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,1,3,7,8,2,4]=>[4,3,8,6,2,1,7,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,8,4,6,5,7,2,1]=>[6,1,5,3,4,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,6,4,3,7,5,1]=>[1,7,3,5,6,2,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,3,6,8,7,4,5,2]=>[8,6,3,1,2,5,4,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,7,1,3,6,2,4,8]=>[4,2,8,6,3,7,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,3,2,5,8,6]=>[5,2,8,6,7,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,1,3,6,2,8,4]=>[4,2,8,6,3,7,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,5,7,3,1,4]=>[3,1,7,4,2,6,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,6,3,4,7,2,1]=>[4,1,3,6,5,2,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,5,4,2,8,1,6]=>[6,2,4,5,7,1,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,6,5,1,7,8,2,3]=>[5,3,4,8,2,1,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,1,3,2,8,5,6]=>[5,2,8,6,7,1,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,5,1,8,2,4,7]=>[6,3,4,8,1,7,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,7,3,4,2,6,1]=>[4,1,2,6,5,7,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,8,6,2,4,3]=>[4,2,8,1,3,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,5,6,4,1,7,2]=>[6,1,4,3,5,8,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,8,1,6,7,4,3]=>[4,7,1,8,3,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,8,4,2,1,6,3]=>[4,2,1,5,7,8,3,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,4,6,8,7,5,2,3]=>[8,5,3,1,2,4,7,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [4,7,2,6,8,5,3,1]=>[5,2,7,3,1,4,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,7,2,4,5,8,6,1]=>[6,2,7,5,4,1,3,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,8,2,5,6,7,3,1]=>[5,1,7,4,3,2,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,8,3,2,6,7,1]=>[5,4,1,6,7,3,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,8,5,2,7,4,6,1]=>[6,1,4,7,2,5,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,7,6,8,5,3,1]=>[5,7,2,3,1,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,2,6,8,7,4,3,1]=>[4,7,3,1,2,5,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [4,7,6,3,5,2,8,1]=>[5,2,3,6,4,7,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,8,5,7,2,6,1]=>[6,5,1,4,2,7,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,3,5,1,7,6,4]=>[7,1,6,4,8,2,3,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,3,4,1,7,6,5,2]=>[1,6,5,8,2,3,4,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,3,8,6,1,7,5,4]=>[7,6,1,3,8,2,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,1,6,8,3,2,5,4]=>[2,8,3,1,6,7,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,5,4,6,2,3,7]=>[1,8,4,5,3,7,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,6,3,1,5,4,7]=>[1,7,3,6,8,4,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,1,6,4,3,8,5]=>[7,2,8,3,5,6,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,6,8,1,3,4,5]=>[7,2,3,1,8,6,5,4]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,7,3,6,8,2,4,1]=>[4,2,6,3,1,7,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,8,4,5,1,7,6]=>[7,6,1,5,4,8,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,5,7,8,1,2,6,3]=>[5,4,2,1,8,7,3,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [7,2,6,4,5,8,3,1]=>[2,7,3,5,4,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,3,5,4,6,2,1]=>[2,1,6,4,5,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,7,5,2,8,1,6]=>[5,6,2,4,7,1,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,8,5,6,2,4,1]=>[6,2,1,4,3,7,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,5,7,1,6,2,8]=>[6,5,4,2,8,3,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,5,6,1,8,3,7,2]=>[5,4,3,8,1,6,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,2,1,7,6,4]=>[6,4,1,7,8,2,3,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,8,7,1,6,2,5]=>[5,6,1,2,8,3,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,3,1,6,5,7,4]=>[1,7,6,8,3,4,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,8,2,6,4,7,1,5]=>[6,1,7,3,5,2,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,5,8,6,2,4,3]=>[8,2,4,1,3,7,5,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,6,1,8,4,7,2]=>[4,6,3,8,1,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,8,6,3,7,1,5]=>[5,7,1,3,6,2,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,2,8,6,4,7,5]=>[8,6,7,1,3,5,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,2,6,7,3,1,5]=>[5,1,7,3,2,6,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,2,1,5,6,3,4]=>[2,1,7,8,4,3,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,6,4,8,5,1,3]=>[2,7,3,5,1,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,7,1,6,4,3,8]=>[7,4,2,8,3,5,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,4,6,3,8,7,2]=>[4,8,5,3,6,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,4,3,7,1,8]=>[4,7,3,5,6,2,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,8,7,5,6,3,2]=>[8,5,1,2,4,3,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,1,7,4,2,6,5,8]=>[6,8,2,5,7,3,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,7,1,3,5,2,8]=>[5,3,2,8,6,4,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,1,4,8,5,7,2]=>[6,3,8,5,1,4,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,7,5,3,4,8,1]=>[3,7,2,4,6,5,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,6,1,7,4,5,2]=>[1,6,3,8,2,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,2,6,4,8,3,5]=>[2,8,7,3,5,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,1,8,6,2,4,7]=>[6,4,8,1,3,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,4,6,2,1,8,3,7]=>[4,5,3,7,8,1,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,4,8,1,2,3,7]=>[4,3,5,1,8,7,6,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,1,3,7,8,2,5]=>[5,3,8,6,2,1,7,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,4,7,3,8,6,2,1]=>[4,5,2,6,1,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,7,5,6,1,3,8,4]=>[7,2,4,3,8,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,4,5,1,6,8,3]=>[2,7,5,4,8,3,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,2,5,8,6,1,3]=>[5,2,7,4,1,3,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,8,7,5,4,6,2,3]=>[8,1,2,4,5,3,7,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,8,1,4,7,5,6,2]=>[6,1,8,5,2,4,3,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,6,7,4,5,3,2]=>[1,8,3,2,5,4,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,7,2,3,5,1,8]=>[5,3,2,7,6,4,8,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,4,8,1,5,3,7,2]=>[3,5,1,8,4,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,6,3,8,1,5,7,4]=>[7,3,6,1,8,4,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,6,1,3,7,5,2]=>[5,1,3,8,6,2,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,2,4,7,5,1,3,8]=>[3,7,5,2,4,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,2,4,5,7,1,3,6]=>[1,7,5,4,2,8,6,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,8,6,3,7,2,4]=>[4,8,1,3,6,2,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,3,7,4,6,2,5]=>[1,8,6,2,5,3,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,6,2,7,1,4,5]=>[1,6,3,7,2,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,4,6,2,3,5,8]=>[2,8,5,3,7,6,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,6,4,3,5,8,2,7]=>[8,3,5,6,4,1,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,1,4,3,7,8,6,2]=>[4,8,5,6,2,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,7,1,8,6,3,2,4]=>[4,2,8,1,3,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,8,1,6,3,2,7,4]=>[4,1,8,3,6,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,6,8,2,5,1,3]=>[2,5,3,1,7,4,8,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,6,3,5,1,8,4]=>[7,2,3,6,4,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,7,3,4,2,6,8]=>[8,4,2,6,5,7,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,6,5,1,7,8,3,2]=>[5,3,4,8,2,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,1,6,4,3,7,5,8]=>[7,8,3,5,6,2,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,7,3,5,1,4,8]=>[7,3,2,6,4,8,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,4,7,6,1,3,2,5]=>[1,5,2,3,8,6,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,2,4,7,1,3,8]=>[4,3,7,5,2,8,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,8,1,3,6,2,4]=>[4,2,1,8,6,3,7,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,3,7,6,5,2,8]=>[5,8,6,2,3,4,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,4,1,7,2,6,5,8]=>[6,5,8,2,7,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,5,1,6,7,4]=>[7,1,6,4,8,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,6,2,7,5,1,8]=>[6,5,3,7,2,4,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,6,1,2,7,8,5]=>[5,6,3,8,7,2,1,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,7,6,2,5,1,8,4]=>[6,2,3,7,4,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,1,8,7,2,5,6]=>[6,5,8,1,2,7,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,8,6,4,3,1,5]=>[7,2,1,3,5,6,8,4]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [2,7,4,3,6,1,5,8]=>[7,2,5,6,3,8,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,5,3,1,6,8]=>[5,2,7,4,6,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,8,3,5,1,6,2,4]=>[2,1,6,4,8,3,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,8,2,6,3,4]=>[4,8,2,1,7,3,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,5,7,3,2,1,8,4]=>[3,4,2,6,7,8,1,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,5,8,7,1,4,6,3]=>[7,4,1,2,8,5,3,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,7,3,4,6,1]=>[7,4,1,2,6,5,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,3,8,7,1,4,6,2]=>[4,6,1,2,8,5,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,1,4,3,6,8,2,7]=>[4,8,5,6,3,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,6,5,1,3,2,7]=>[5,1,3,4,8,6,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,5,6,1,8,3,2,7]=>[5,4,3,8,1,6,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,6,5,2,3,1,7]=>[5,1,3,4,7,6,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,5,6,2,8,3,1,7]=>[5,4,3,7,1,6,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,1,3,5,8,4]=>[2,7,3,8,6,4,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,2,7,1,5,8,3,4]=>[3,7,2,8,4,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,5,3,2,4,7,1]=>[3,1,4,6,7,5,2,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,7,4,6,1,8,3]=>[7,4,2,5,3,8,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,6,1,5,4,2,3]=>[2,1,3,8,4,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,3,6,1,5,2,8,4]=>[2,6,3,8,4,7,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,3,6,7,2,4,1]=>[4,1,6,3,2,7,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,6,2,5,7,4,3]=>[1,8,3,7,4,2,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,8,6,2,4,7,5,3]=>[8,1,3,7,5,2,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,1,6,3,2,8,7,5]=>[5,8,3,6,7,1,2,4]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,4,1,8,7,5,6,3]=>[7,5,8,1,2,4,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,7,5,1,4,6,3]=>[7,1,2,4,8,5,3,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,3,6,4,2,1,8]=>[4,2,6,3,5,7,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,3,6,4,1,8,2]=>[4,2,6,3,5,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,5,6,4,1,8,2]=>[6,2,4,3,5,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,4,5,3,6,7]=>[7,1,8,5,4,6,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,4,6,5,3,2,1,8]=>[2,5,3,4,6,7,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,8,5,7,3,4,6,1]=>[7,1,4,2,6,5,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,5,3,4,2,7,8]=>[3,8,4,6,5,7,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,3,6,4,7,1,8]=>[4,7,6,3,5,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,8,4,5,3,2,1,7]=>[3,1,5,4,6,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,8,7,4,3,6,5,1]=>[7,1,2,5,6,3,4,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,7,2,3,5,8,1,4]=>[3,2,7,6,4,1,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,4,5,8,2,3,1,6]=>[2,5,4,1,7,6,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,3,8,5,4,6,7]=>[7,8,6,1,4,5,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,6,8,2,4,1,7]=>[4,6,3,1,7,5,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,8,6,3,2,4,5]=>[8,2,1,3,6,7,5,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,1,2,5,3,8,4,6]=>[2,8,7,4,6,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,2,5,1,8,6]=>[6,2,5,7,4,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,5,8,2,3,4,6,1]=>[2,4,1,7,6,5,3,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,5,2,6,8,3,1,7]=>[5,4,7,3,1,6,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,5,2,1,4,3,8]=>[3,2,4,7,8,5,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,1,2,5,8,6,7,4]=>[6,8,7,4,1,3,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,6,7,3,5,4,1]=>[1,7,3,2,6,4,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,2,5,7,8,6,3]=>[5,8,7,4,2,1,3,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,7,6,2,1,3,8]=>[5,4,2,3,7,8,6,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,8,2,6,5,4,3,1]=>[2,1,7,3,4,5,6,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,3,7,8,4,2,1,6]=>[4,6,2,1,5,7,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,3,6,8,1,5,4,2]=>[2,6,3,1,8,4,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,6,7,2,5,1,8]=>[6,5,3,2,7,4,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [7,5,8,2,4,3,6,1]=>[2,4,1,7,5,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,5,8,2,3,4,1,7]=>[3,4,1,7,6,5,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,5,3,4,6,2,7]=>[1,8,4,6,5,3,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,7,2,4,3,6,1]=>[4,1,2,7,5,6,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,2,3,5,4,6,1]=>[2,1,7,6,4,5,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,1,8,5,6,4]=>[7,2,6,8,1,4,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,2,1,6,7,4]=>[6,1,4,7,8,3,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,4,5,2,1,8,7,3]=>[3,5,4,7,8,1,2,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,1,2,4,7,8,5,3]=>[3,8,7,5,2,1,4,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,3,8,2,1,7,4,6]=>[4,6,1,7,8,2,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,3,4,2,8,6,7]=>[8,4,6,5,7,1,3,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,5,3,7,6,4,8]=>[7,8,4,6,2,3,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,4,7,2,6,8,5]=>[6,8,5,2,7,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,1,7,3,5,4,6,8]=>[7,8,2,6,4,5,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,8,6,1,5,7,4,3]=>[7,1,3,8,4,2,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,3,5,1,7,6,4,2]=>[1,6,4,8,2,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,3,5,4,7,1,6,2]=>[1,6,4,5,2,8,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,7,1,2,5,3,6]=>[5,1,2,8,7,4,6,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,1,8,6,4,2,3,5]=>[2,8,1,3,5,7,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,5,6,4,3,8,2,7]=>[8,4,3,5,6,1,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,8,2,6,4,3,7,5]=>[8,1,7,3,5,6,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,4,3,8,7,2,5]=>[8,3,5,6,1,2,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,4,6,1,5,7,2,3]=>[1,5,3,8,4,2,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,7,1,4,2,3,5]=>[3,1,2,8,5,7,6,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,8,5,7,4,6,3,2]=>[8,1,4,2,5,3,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,7,6,8,3,5,2]=>[8,5,2,3,1,6,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,8,6,5,3,4]=>[8,2,7,1,3,4,6,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,1,6,4,2,3,8]=>[4,2,8,3,5,7,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,2,7,5,1,6,3]=>[5,1,7,2,4,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,6,2,5,3,8,4]=>[8,2,3,7,4,6,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,2,4,3,8,6]=>[8,2,4,7,5,6,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,1,4,3,6,7]=>[7,1,4,8,5,6,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,4,5,3,8,6]=>[2,8,7,5,4,6,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,6,8,1,2,4,5,3]=>[2,3,1,8,7,5,4,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,3,5,2,4,8,6]=>[2,8,6,4,7,5,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,7,1,3,6,8,4]=>[7,4,2,8,6,3,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,5,2,8,4,7,1]=>[6,3,4,7,1,5,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,1,4,6,2,5]=>[6,1,2,8,5,3,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,8,6,1,7,2,5]=>[6,5,1,3,8,2,7,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,2,3,5,8,1]=>[5,2,3,7,6,4,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,7,1,6,2,5,8,3]=>[5,2,8,3,7,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,6,1,5,3,4,8]=>[7,2,3,8,4,6,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,7,1,4,6,5,8,3]=>[7,2,8,5,3,4,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,3,5,7,8,4,1,2]=>[3,6,4,2,1,5,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,8,3,7,5,1]=>[5,7,3,1,6,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,8,1,3,6,2,7]=>[4,5,1,8,6,3,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,2,5,7,1,6,8]=>[6,5,7,4,2,8,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,4,6,1,7,5,8]=>[6,7,5,3,8,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,6,2,1,5,4,8]=>[6,2,3,7,8,4,5,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,6,8,3,4,1,5,7]=>[7,3,1,6,5,8,4,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,6,5,8,4,2,7]=>[6,8,3,4,1,5,7,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,1,4,8,5,3,6]=>[7,2,8,5,1,4,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,8,6,4,7,2]=>[4,8,6,1,3,5,2,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,6,7,4,2,8,3]=>[8,4,3,2,5,7,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,1,7,8,3,5,4,2]=>[3,8,2,1,6,4,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,7,8,6,1,2]=>[5,6,4,2,1,3,8,7]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,7,6,1,4,5,8]=>[7,6,2,3,8,5,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,8,2,1,3,5,6,4]=>[2,1,7,8,6,4,3,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,6,2,1,5,7,8,4]=>[6,3,7,8,4,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [7,2,4,1,5,6,3,8]=>[2,7,5,8,4,3,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,2,5,7,6,8,4]=>[6,8,7,4,2,3,1,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,1,7,3,2,6,8,4]=>[4,8,2,6,7,3,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,8,2,3,7,5,1,6]=>[5,1,7,6,2,4,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,2,4,7,3,5,6]=>[1,8,7,5,2,6,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,2,6,4,3,7,1,5]=>[1,7,3,5,6,2,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,3,6,1,5,7,8]=>[7,5,6,3,8,4,2,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,1,5,7,4,6,3,8]=>[7,8,4,2,5,3,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,3,5,7,6,1,4]=>[1,7,6,4,2,3,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,4,8,6,1,3,7,2]=>[4,5,1,3,8,6,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,5,6,7,1,3,2]=>[1,5,4,3,2,8,6,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,6,4,1,5,8,3]=>[2,7,3,5,8,4,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,7,1,6,3,8,4]=>[4,7,2,8,3,6,1,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,2,5,3,6,8,4]=>[8,2,7,4,6,3,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,4,6,3,2,5,1,8]=>[2,5,3,6,7,4,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,2,5,7,1,8,3,4]=>[3,7,4,2,8,1,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,3,5,7,2,6,8]=>[5,8,6,4,2,7,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,8,2,7,6,5,3]=>[5,8,1,7,2,3,4,6]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,5,8,4,3,6,2,7]=>[8,4,1,5,6,3,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,5,2,6,7,4,8,3]=>[8,4,7,3,2,5,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,7,3,2,5,4,8]=>[3,8,2,6,7,4,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,5,3,8,7,4,2]=>[8,3,4,6,1,2,5,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,1,7,5,6,8,2,3]=>[5,8,2,4,3,1,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,2,3,1,4,6,5]=>[2,1,7,6,8,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,3,8,1,4,7,5]=>[3,7,6,1,8,5,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,7,6,1,4,8,3]=>[4,7,2,3,8,5,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,7,6,2,1,4,5,8]=>[6,2,3,7,8,5,4,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [5,1,7,6,4,3,8,2]=>[4,8,2,3,5,6,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,5,8,3,7,2,4,6]=>[8,4,1,6,2,7,5,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,2,6,7,3,1,4]=>[4,1,7,3,2,6,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,2,3,6,1,5,8]=>[5,2,7,6,3,8,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,7,6,8,2,4]=>[4,8,6,2,3,1,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,6,8,7,2,5,4,3]=>[8,3,1,2,7,4,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,2,3,6,1,7,5,8]=>[5,7,6,3,8,2,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,8,5,3,7,6,2]=>[5,8,1,4,6,2,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,8,4,5,2,6,1,7]=>[6,1,5,4,7,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,8,7,4,3,2]=>[4,8,3,1,2,5,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,8,2,4,5,6,1,7]=>[6,1,7,5,4,3,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,6,3,7,5,2,4]=>[1,8,3,6,2,4,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,8,6,2,3,1,7]=>[5,4,1,3,7,6,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,7,1,8,2,3,6]=>[4,5,2,8,1,7,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,3,6,2,8,4,7]=>[4,8,6,3,7,1,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,2,1,6,5,7]=>[5,1,6,7,8,3,4,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,4,3,2,7,5,6,8]=>[8,5,6,7,2,4,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,3,6,1,4,8,7]=>[7,4,6,3,8,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,2,1,5,8,6,7]=>[6,5,7,8,4,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,7,1,4,8,6]=>[7,4,6,2,8,5,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,3,6,1,7,8,4]=>[7,4,6,3,8,2,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,2,7,1,8,3,6]=>[5,4,7,2,8,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,8,4,5,2,7,6]=>[6,8,1,5,4,7,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,5,2,1,3,7,6]=>[5,1,4,7,8,6,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,8,4,2,1,3,7,6]=>[4,1,5,7,8,6,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,6,7,5,2,3,1,8]=>[5,3,2,4,7,6,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,2,5,3,1,8,7,4]=>[3,7,4,6,8,1,2,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [6,4,5,3,8,7,1,2]=>[3,5,4,6,1,2,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,4,5,8,7,3,2]=>[8,3,5,4,1,2,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,4,7,5,2,3,1,6]=>[1,5,2,4,7,6,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,7,4,5,3,1,6]=>[1,7,2,5,4,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,6,7,5,3,1,4]=>[1,7,3,2,4,6,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,5,8,7,3,1,2]=>[3,5,4,1,2,6,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,2,8,7,5,3,1,4]=>[3,7,1,2,4,6,8,5]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [4,6,5,3,8,7,1,2]=>[5,3,4,6,1,2,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,7,4,5,3,1,2]=>[3,1,2,5,4,6,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,7,5,3,1,6]=>[7,1,5,2,4,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,5,8,4,7,2,1,3]=>[3,4,1,5,2,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,6,2,5,7,3,4]=>[1,8,3,7,4,2,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,8,1,2,4,7,3,5]=>[3,1,8,7,5,2,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,1,5,3,2,7,4,6]=>[1,8,4,6,7,2,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,8,6,1,4,7,3]=>[4,7,1,3,8,5,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,1,2,8,3,7,5,4]=>[3,8,7,1,6,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,6,2,3,8,7,1,5]=>[5,3,7,6,1,2,8,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,4,2,8,5,1,3]=>[3,2,5,7,1,4,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,3,7,6,2,5,4,1]=>[1,6,2,3,7,4,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,1,3,5,8,2,7]=>[5,3,8,6,4,1,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,5,1,3,8,7,2,6]=>[5,4,8,6,1,2,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,8,1,7,2,3]=>[3,5,4,1,8,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,8,5,1,4,7,3]=>[3,7,1,4,8,5,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,4,7,6,1,8,3,5]=>[7,5,2,3,8,1,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,4,5,8,6,3,2,1]=>[2,5,4,1,3,6,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,1,3,4,5,2,6,8]=>[2,8,6,5,4,7,3,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,3,6,5,8,4,1]=>[7,2,6,3,4,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,7,5,3,2,8,4]=>[8,3,2,4,6,7,1,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,3,4,6,1,8,2,5]=>[2,6,5,3,8,1,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,4,1,2,8,6,5]=>[6,2,5,8,7,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,4,1,2,6,8,5]=>[6,2,5,8,7,3,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,1,2,4,6,8,3]=>[4,2,8,7,5,3,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,6,8,5,7,4,3,2]=>[8,3,1,4,2,5,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,8,1,2,4,7,6,5]=>[6,1,8,7,5,2,3,4]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,4,5,7,3,6,8,2]=>[8,5,4,2,6,3,1,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [4,6,8,7,1,5,3,2]=>[5,3,1,2,8,4,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,8,7,5,2,6,4]=>[8,6,1,2,4,7,3,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,2,4,5,7,1,8,6]=>[6,7,5,4,2,8,1,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,2,4,6,1,7,8,5]=>[6,7,5,3,8,2,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,4,6,1,8,5,7]=>[6,7,5,3,8,1,4,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,5,7,3,6,2,8]=>[8,5,4,2,6,3,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,2,4,7,5,8,1]=>[6,3,7,5,2,4,1,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,8,4,6,2,5,7]=>[6,8,1,5,3,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,2,7,3,5,8,1,6]=>[5,7,2,6,4,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,2,7,8,6,3,1,5]=>[5,7,2,1,3,6,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,4,2,8,6,3,5]=>[2,8,5,7,1,3,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,3,6,8,4,5,2]=>[2,8,6,3,1,5,4,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,6,3,5,8,7,4,2]=>[8,3,6,4,1,2,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,4,6,3,5,1,7,2]=>[1,5,3,6,4,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,5,7,1,6,8,3]=>[7,5,4,2,8,3,1,6]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,4,2,7,5,6,3,8]=>[8,5,7,2,4,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,7,6,3,5,2,4]=>[1,8,2,3,6,4,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,8,7,4,5,2,6]=>[8,6,1,2,5,4,7,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,2,4,6,3,5,8]=>[2,8,7,5,3,6,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,6,5,2,4,3,7,8]=>[8,3,4,7,5,6,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,5,3,4,7,2,8]=>[8,3,4,6,5,2,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,3,5,4,7,2,8]=>[3,8,6,4,5,2,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,5,7,8,6,2,3]=>[5,8,4,2,1,3,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,8,2,3,7,5]=>[3,8,5,1,7,6,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,5,7,8,6,4,1,3]=>[7,4,2,1,3,5,8,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [8,1,7,4,6,5,2,3]=>[1,8,2,5,3,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,1,7,4,8,5,2,3]=>[3,8,2,5,1,4,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,4,6,3,1,7,5]=>[1,7,5,3,6,8,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,8,6,2,7,5,3,4]=>[8,1,3,7,2,4,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,5,1,7,6,3,4]=>[7,1,4,8,2,3,6,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,7,1,6,2,5,3]=>[5,1,2,8,3,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,6,4,3,1,7]=>[4,7,1,3,5,6,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,8,3,7,5,4,2,6]=>[8,1,6,2,4,5,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,8,7,1,6,2,4,5]=>[6,1,2,8,3,7,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,8,4,3,1,7,5,6]=>[7,1,5,6,8,2,4,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,3,6,8,5,4,2,1]=>[2,6,3,1,4,5,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,6,2,4,8,7,3,1]=>[4,3,7,5,1,2,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,6,5,8,4,1,2,7]=>[6,3,4,1,5,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,5,6,2,3,7,4,1]=>[1,4,3,7,6,2,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,1,4,5,6,2,3]=>[2,1,8,5,4,3,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,2,6,7,8,3,5,4]=>[8,7,3,2,1,6,4,5]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [7,1,2,6,5,8,3,4]=>[2,8,7,3,4,1,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,1,4,5,6,8,3]=>[7,2,8,5,4,3,1,6]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [5,4,7,8,6,2,3,1]=>[4,5,2,1,3,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,4,8,3,5,6,2,1]=>[2,5,1,6,4,3,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,5,7,2,6,8,4]=>[6,8,4,2,7,3,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,7,5,2,6,8,4]=>[6,8,2,4,7,3,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,2,7,5,1,6,8,4]=>[6,7,2,4,8,3,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,7,3,1,6,8,4]=>[4,7,2,6,8,3,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,6,3,1,2,7,8,5]=>[5,3,6,8,7,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,3,4,6,8,1,7,2]=>[4,6,5,3,1,8,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,6,8,2,7,1,3]=>[5,4,3,1,7,2,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,7,2,5,8,4,6,3]=>[8,2,7,4,1,5,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,1,3,8,5,2,6]=>[5,2,8,6,1,4,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,8,7,1,4,6]=>[7,4,6,1,2,8,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,3,7,6,8,4,2]=>[4,8,6,2,3,1,5,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,2,6,4,3,1,5,7]=>[1,7,3,5,6,8,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,3,8,1,5,4,6,7]=>[7,6,1,8,4,5,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,5,6,8,4,7,1]=>[7,6,4,3,1,5,2,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [2,4,5,8,3,6,7,1]=>[7,5,4,1,6,3,2,8]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [3,1,6,4,2,7,5,8]=>[6,8,3,5,7,2,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,7,5,3,6,8,2]=>[5,8,2,4,6,3,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,3,8,5,1,6,2,4]=>[2,6,1,4,8,3,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,3,1,2,5,8,7]=>[5,3,6,8,7,4,1,2]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,6,5,3,4,2,7,8]=>[8,3,4,6,5,7,2,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,6,5,4,2,3,7]=>[1,8,3,4,5,7,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,7,3,6,2,4,8,1]=>[4,2,6,3,7,5,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,7,1,4,6,8,5]=>[7,6,2,8,5,3,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [2,6,5,1,7,4,8,3]=>[7,3,4,8,2,5,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,6,2,4,8,3]=>[4,2,8,3,7,5,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,2,4,7,5,8,3]=>[3,8,7,5,2,4,1,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,6,1,7,5,3,8,2]=>[5,3,8,2,4,6,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,8,7,6,3,1,2]=>[5,4,1,2,3,6,8,7]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [5,2,8,3,6,1,7,4]=>[4,7,1,6,3,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,1,4,3,6,2,5,7]=>[1,8,5,6,3,7,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,3,6,8,1,4,7]=>[4,7,6,3,1,8,5,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,7,8,2,3,1,6]=>[5,4,2,1,7,6,8,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,7,1,2,4,3,5,8]=>[3,2,8,7,5,6,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,7,2,1,6,4,8]=>[4,6,2,7,8,3,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,1,2,8,6,3,4,5]=>[2,8,7,1,3,6,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,4,6,7,5,3,2]=>[1,8,5,3,2,4,6,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,6,8,1,7,5,3,2]=>[5,3,1,8,2,4,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [8,1,5,7,6,4,3,2]=>[1,8,4,2,3,5,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [6,1,5,7,4,2,3,8]=>[3,8,4,2,5,7,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,4,7,8,3,6,5,2]=>[8,5,2,1,6,3,4,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,7,1,3,5,2,8,6]=>[5,2,8,6,4,7,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,4,6,7,2,1]=>[4,6,1,5,3,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,3,5,8,6,7,2,1]=>[5,6,4,1,3,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,3,8,5,6,2,1]=>[5,2,6,1,4,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,1,4,8,5,6,3,2]=>[2,8,5,1,4,3,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,3,8,6,4,5,2]=>[8,2,6,1,3,5,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,8,2,6,7,5,1]=>[6,5,1,7,3,2,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,6,3,8,7,4,5,2]=>[8,3,6,1,2,5,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,5,8,7,6,2,3]=>[8,5,4,1,2,3,7,6]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,3,5,8,2,6,7]=>[8,5,6,4,1,7,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,1,3,8,6,4,5,7]=>[7,8,6,1,3,5,4,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,6,4,5,8,2,7]=>[8,6,3,5,4,1,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,4,3,5,8,2,7]=>[3,8,5,6,4,1,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,5,6,2,1,7,4]=>[1,6,4,3,7,8,2,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,8,7,6,1,4,2]=>[6,4,1,2,3,8,5,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,1,5,4,6,3,8,2]=>[2,8,4,5,3,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,6,5,4,8,2,1]=>[2,6,3,4,5,1,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,7,6,1,4,8,5,2]=>[6,2,3,8,5,1,4,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,4,7,1,5,6,2,3]=>[1,5,2,8,4,3,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,3,1,4,6,7,8]=>[7,4,6,8,5,3,2,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [2,7,8,3,6,1,5,4]=>[7,2,1,6,3,8,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,8,3,6,2,5,4]=>[8,2,1,6,3,7,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,4,3,8,5,2]=>[2,8,3,5,6,1,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,2,6,4,3,8,5,1]=>[2,7,3,5,6,1,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,7,5,4,3,8,2,6]=>[8,2,4,5,6,1,7,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,4,5,1,8,2,6,3]=>[2,5,4,8,1,7,3,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,6,4,8,5,2,3,7]=>[8,3,5,1,4,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,8,5,3,6,1,4]=>[2,7,1,4,6,3,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,6,4,2,7,1,3]=>[4,1,3,5,7,2,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,5,3,8,2,4,6]=>[2,8,4,6,1,7,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,3,8,7,6,4,5,2]=>[8,6,1,2,3,5,4,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,6,4,5,2,8,3,7]=>[8,3,5,4,7,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,3,4,6,7,1,5]=>[7,1,6,5,3,2,8,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,2,3,4,6,1,5,8]=>[2,7,6,5,3,8,4,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,5,1,6,3,8,7,2]=>[5,4,8,3,6,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,8,1,7,3,2,6]=>[5,4,1,8,2,6,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,7,1,3,8,2,5]=>[5,3,2,8,6,1,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,3,1,4,7,8,5]=>[7,3,6,8,5,2,1,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,8,7,1,5,6,2,3]=>[5,1,2,8,4,3,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,6,8,5,3,4,1]=>[2,7,3,1,4,6,5,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,2,6,5,3,4,1]=>[2,1,7,3,4,6,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,7,8,3,5,4,1]=>[7,3,2,1,6,4,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,4,8,5,3,6,1,2]=>[2,5,1,4,6,3,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,6,5,1,3,7,2]=>[1,5,3,4,8,6,2,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,5,3,8,7,1,2,6]=>[5,4,6,1,2,8,7,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,5,8,2,4,3,1,6]=>[2,4,1,7,5,6,8,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,8,6,1,5,3,2]=>[5,2,1,3,8,4,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,8,2,1,6,5,3,7]=>[5,1,7,8,3,4,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,6,2,1,8,5,3,7]=>[5,3,7,8,1,4,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,3,8,2,4,6,5]=>[2,8,6,1,7,5,3,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,6,4,1,8,5]=>[2,7,6,3,5,8,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,2,4,1,3,8,6]=>[4,2,7,5,8,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,5,4,1,8,3,7]=>[3,7,4,5,8,1,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,2,6,3,5,8,1,7]=>[5,7,3,6,4,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,8,6,3,5,1,4]=>[7,2,1,3,6,4,8,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,8,7,3,1,6,4]=>[7,4,1,2,6,8,3,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,1,2,5,4,3,7,6]=>[1,8,7,4,5,6,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,2,1,4,5,8,3]=>[3,2,7,8,5,4,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,2,5,6,4,8,3]=>[8,2,7,4,3,5,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,4,1,6,8,5,2]=>[2,6,5,8,3,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,3,4,8,5,1,2,7]=>[3,6,5,1,4,8,7,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,6,8,3,4,5,1]=>[2,7,3,1,6,5,4,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,8,4,6,2,7,1]=>[6,4,1,5,3,7,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,5,8,4,2,7,6,1]=>[6,4,1,5,7,2,3,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,4,6,2,5,3,8,1]=>[2,5,3,7,4,6,1,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,6,5,8,3,1,4]=>[2,7,3,4,1,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,8,5,4,2,6,3,7]=>[8,1,4,5,7,3,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,6,7,4,8,1,2]=>[6,4,3,2,5,1,8,7]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,2,4,5,1,3,6,7]=>[1,7,5,4,8,6,3,2]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,3,5,8,1,2,7,4]=>[3,6,4,1,8,7,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,8,5,4,6,1,7]=>[7,6,1,4,5,3,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,3,5,7,1,4,6,2]=>[1,6,4,2,8,5,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,3,4,6,1,8,5]=>[7,2,6,5,3,8,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,4,1,8,2,6]=>[2,6,4,5,8,1,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,7,1,4,5,3,2]=>[3,1,2,8,5,4,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,3,6,4,7,5,2]=>[1,8,6,3,5,2,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,7,1,2,5,4,3]=>[3,1,2,8,7,4,5,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,7,2,5,6,1,3,8]=>[5,2,7,4,3,8,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,3,5,4,1,2,6,7]=>[1,6,4,5,8,7,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,3,5,4,2,6,8]=>[2,8,6,4,5,7,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,6,1,2,4,3,7]=>[4,1,3,8,7,5,6,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,7,3,6,8,2]=>[5,8,4,2,6,3,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,4,5,7,6,8,2,3]=>[8,5,4,2,3,1,7,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,6,1,8,7,4,5,2]=>[6,3,8,1,2,5,4,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,7,5,1,6,3,8]=>[5,7,2,4,8,3,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,1,3,5,7,6,8,2]=>[5,8,6,4,2,3,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,7,6,1,4,2,3,8]=>[4,2,3,8,5,7,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,7,5,2,1,6,3]=>[5,1,2,4,7,8,3,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,7,1,2,6,4,5,8]=>[6,2,8,7,3,5,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,7,6,3,5,8,2]=>[5,8,2,3,6,4,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,5,6,2,1,4,3,8]=>[2,4,3,7,8,5,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,1,3,5,6,8,2]=>[5,2,8,6,4,3,1,7]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [4,3,5,7,8,2,6,1]=>[5,6,4,2,1,7,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,2,5,8,4,3]=>[2,8,3,7,4,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,6,3,1,2,8,5,7]=>[5,3,6,8,7,1,4,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,1,8,2,7,3,5]=>[5,3,8,1,7,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,8,1,6,5,3]=>[2,7,5,1,8,3,4,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,7,3,5,2,8]=>[5,8,3,2,6,4,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,4,7,6,3,8]=>[7,4,8,5,2,3,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,5,1,6,2,3,8]=>[5,2,4,8,3,7,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,1,4,6,2,7,5]=>[6,1,8,5,3,7,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,4,2,5,1,6]=>[6,1,2,5,7,4,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,7,3,2,1,8,6,4]=>[4,2,6,7,8,1,3,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,7,6,3,2,1,8,4]=>[4,2,3,6,7,8,1,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,7,3,5,4,2,6,8]=>[8,2,6,4,5,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,3,7,4,1,8,6,2]=>[4,6,2,5,8,1,3,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,3,5,4,1,6,8,2]=>[2,6,4,5,8,3,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,3,6,2,5,4,7,8]=>[8,6,3,7,4,5,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,5,7,3,4,1,8]=>[3,7,4,2,6,5,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,4,1,7,6,2,5]=>[1,6,5,8,2,3,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,6,1,5,2,3,7]=>[5,1,3,8,4,7,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,8,4,3,5,6]=>[2,8,7,1,5,6,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,2,1,4,7,3,8]=>[4,3,7,8,5,2,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,6,2,5,4,8,7,1]=>[6,3,7,4,5,1,2,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,5,8,4,2,7,6]=>[6,8,4,1,5,7,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,2,1,4,8,5]=>[2,6,3,7,8,5,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,1,3,4,8,6,2,7]=>[4,8,6,5,1,3,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,4,1,8,5,3,6]=>[7,2,5,8,1,4,6,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,2,4,3,6,8]=>[2,8,4,7,5,6,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,6,1,5,2,4,3]=>[2,1,3,8,4,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,5,7,4,1,3,2,6]=>[1,4,2,5,8,6,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,8,7,3,2,1,5,4]=>[3,1,2,6,7,8,4,5]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,6,8,7,2,4,1,5]=>[6,3,1,2,7,5,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,7,3,6,2,1,8,4]=>[4,2,6,3,7,8,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,5,2,4,8,1,7]=>[6,3,4,7,5,1,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,6,1,7,4,3,8]=>[4,7,3,8,2,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,4,5,1,7,2,8]=>[3,6,5,4,8,2,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,1,7,5,3,8,4]=>[7,3,8,2,4,6,1,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,5,8,2,3,6,1,4]=>[2,4,1,7,6,3,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,4,8,3,6,7,2]=>[8,4,5,1,6,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,3,5,2,8,6,1,4]=>[2,6,4,7,1,3,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,8,3,6,2,4,7,5]=>[8,1,6,3,7,5,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,7,5,6,4,2,3]=>[8,1,2,4,3,5,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,2,1,5,4,3,7]=>[3,1,7,8,4,5,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,6,5,8,7,2,4]=>[8,6,3,4,1,2,7,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,4,8,7,6,2,3,5]=>[8,5,1,2,3,7,6,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,7,6,2,5,3,8]=>[8,5,2,3,7,4,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,7,2,6,5,4,8]=>[8,6,2,7,3,4,5,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,6,2,8,1,7]=>[5,6,4,3,7,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,3,1,6,8,2,7]=>[5,4,6,8,3,1,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,6,7,5,1,8,2]=>[6,5,3,2,4,8,1,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,8,2,6,7,1,5,3]=>[5,1,7,3,2,8,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,5,8,3,7,1,4,2]=>[3,4,1,6,2,8,5,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,7,1,2,4,3,8]=>[4,3,2,8,7,5,6,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,6,5,3,7,1,2]=>[5,1,3,4,6,2,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,8,6,5,3,7,2,1]=>[5,1,3,4,6,2,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,1,5,7,6,2,8,3]=>[5,8,4,2,3,7,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,4,7,1,5,8,6]=>[6,7,5,2,8,4,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,5,8,6,2,3,1]=>[5,2,4,1,3,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,8,7,5,1,4]=>[6,7,3,1,2,4,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,2,4,5,8,1,6,3]=>[2,7,5,4,1,8,3,6]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,5,7,8,6,1]=>[5,7,6,4,2,1,3,8]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,6,1,3,8,4,7,2]=>[4,3,8,6,1,5,2,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,1,6,2,3,8]=>[4,5,2,8,3,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,7,4,6,5,2,8]=>[6,8,2,5,3,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,4,3,5,1,8,6]=>[7,2,5,6,4,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,8,5,2,4,1,7]=>[6,3,1,4,7,5,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,6,7,1,4,5,3]=>[7,1,3,2,8,5,4,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,4,7,2,6,3,8]=>[4,8,5,2,7,3,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,1,5,6,2,3,8]=>[5,2,8,4,3,7,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,5,6,3,7,1,8]=>[5,7,4,3,6,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,1,6,5,2,8]=>[5,2,6,8,3,4,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,6,4,3,5,1,8]=>[2,7,3,5,6,4,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,8,5,7,1,2,4]=>[6,3,1,4,2,8,7,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,1,8,7,3,5,4]=>[7,3,8,1,2,6,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,8,7,4,2,5,1]=>[6,3,1,2,5,7,4,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,8,4,7,2,5,6,3]=>[8,1,5,2,7,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,5,6,1,3,8,2,4]=>[2,4,3,8,6,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,8,3,6,7,2,1]=>[4,5,1,6,3,2,7,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,8,4,6,3,7,2,1]=>[4,1,5,3,6,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,4,8,5,1,2,6]=>[2,6,5,1,4,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,4,8,1,3,5,2,6]=>[2,5,1,8,6,4,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,5,4,6,1,7,3]=>[1,7,4,5,3,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,8,4,1,7,3,5,2]=>[3,1,5,8,2,6,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,6,1,3,4,7]=>[7,1,4,3,8,6,5,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,6,8,5,1,2,4,3]=>[2,3,1,4,8,7,5,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,5,3,6,4,1,7]=>[7,1,4,6,3,5,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,4,5,1,6,3,7,2]=>[1,5,4,8,3,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,8,4,2,3,7,5]=>[3,8,1,5,7,6,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,1,8,5,2,6,3,4]=>[2,8,1,4,7,3,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,4,3,7,1,6,5]=>[7,1,5,6,2,8,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,5,2,4,7,6,8,3]=>[8,4,7,5,2,3,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,5,4,3,8,2,7,6]=>[8,4,5,6,1,7,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,6,8,1,7,5]=>[6,5,7,3,1,8,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,2,7,5,1,3]=>[5,1,3,7,2,4,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,5,3,2,6,8,4]=>[8,2,4,6,7,3,1,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,2,6,5,1,3,4,8]=>[2,7,3,4,8,6,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,1,7,2,4,5,8,3]=>[3,8,2,7,5,4,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,5,4,7,1,8,3,6]=>[7,4,5,2,8,1,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,7,4,3,8,5,1]=>[3,7,2,5,6,1,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,5,4,7,3,8,2,6]=>[8,4,5,2,6,1,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,2,6,7,3,5,4,8]=>[8,7,3,2,6,4,5,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,6,8,7,4,2,3,1]=>[4,3,1,2,5,7,6,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,3,8,5,7,4,1,6]=>[7,6,1,4,2,5,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,6,3,1,7,8]=>[5,7,4,3,6,8,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,3,7,6,8,4,1]=>[4,7,6,2,3,1,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,2,4,6,3,5,7]=>[1,8,7,5,3,6,4,2]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,2,5,6,3,7,8,1]=>[5,7,4,3,6,2,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,8,4,5,6,1,2]=>[6,2,1,5,4,3,8,7]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,5,7,4,8,1,2]=>[3,6,4,2,5,1,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,3,8,1,7,4,2]=>[4,3,6,1,8,2,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,2,1,8,3,6,7]=>[5,4,7,8,1,6,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,4,1,7,2,8,6]=>[6,4,5,8,2,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,5,3,7,1,8,4]=>[7,3,4,6,2,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,1,3,6,4,8,2]=>[4,2,8,6,3,5,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,7,6,4,2,3,5]=>[1,8,2,3,5,7,6,4]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,6,8,4,5,3,7,1]=>[7,3,1,5,4,6,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,2,8,5,7,1,6]=>[6,5,7,1,4,2,8,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,1,6,2,5,8,7,3]=>[5,8,3,7,4,1,2,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,8,6,3,7,4,5,2]=>[8,1,3,6,2,5,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,2,3,8,1,5,4,7]=>[3,7,6,1,8,4,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,5,4,7,1,2]=>[6,1,3,4,5,2,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,4,1,5,6,8,7,3]=>[7,5,8,4,3,1,2,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,7,1,6,2,8,3]=>[5,4,2,8,3,7,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,3,4,2,8,6,1]=>[4,2,6,5,7,1,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,7,4,2,6,8,5,1]=>[6,2,5,7,3,1,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,4,8,7,3,2,5,1]=>[3,5,1,2,6,7,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,5,7,6,4,8,1,3]=>[7,4,2,3,5,1,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,2,8,3,7,4,5,1]=>[3,7,1,6,2,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,2,3,8,6,1,4,7]=>[4,7,6,1,3,8,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,4,3,8,5,6,2,7]=>[8,5,6,1,4,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,8,7,2,3,6,1]=>[5,4,1,2,7,6,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,8,6,1,4,2,5,3]=>[2,1,3,8,5,7,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,6,4,7,2,1,5]=>[1,6,3,5,2,7,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,1,4,6,8,5,3]=>[7,2,8,5,3,1,4,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,5,1,6,8,4,3]=>[2,7,4,8,3,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,8,7,2,4,3,6]=>[4,8,1,2,7,5,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,6,8,1,5,2,7,4]=>[6,3,1,8,4,7,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,3,6,8,1,5,2,4]=>[2,6,3,1,8,4,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,6,4,2,7,8]=>[4,8,6,3,5,7,2,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,5,1,4,6,2,7]=>[6,1,4,8,5,3,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,8,5,7,4,1,3]=>[3,7,1,4,2,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,8,5,6,4,3,1]=>[7,2,1,4,3,5,6,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [8,4,6,7,1,3,5,2]=>[1,5,3,2,8,6,4,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,8,7,4,2,6]=>[6,8,4,1,2,5,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,8,4,5,2,6,7]=>[8,6,1,5,4,7,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,8,5,1,2,6,3,4]=>[2,1,4,8,7,3,6,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,2,8,4,6,5,3,1]=>[2,7,1,5,3,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,8,6,3,1,7,2,5]=>[5,1,3,6,8,2,7,4]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,5,8,3,4,6,1,7]=>[7,4,1,6,5,3,8,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,3,6,1,2,5]=>[2,1,5,6,3,8,7,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,6,1,2,4,8,7,3]=>[4,3,8,7,5,1,2,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,3,6,2,5,7,1,8]=>[5,6,3,7,4,2,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,8,6,7,4,1,3]=>[4,7,1,3,2,5,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,7,2,6,5,4,8,3]=>[8,2,7,3,4,5,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,8,3,7,6,2,1]=>[4,5,1,6,2,3,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [8,1,5,2,3,6,4,7]=>[1,8,4,7,6,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,2,1,3,8,5,6]=>[5,2,7,8,6,1,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,2,8,1,3,6,7]=>[5,4,7,1,8,6,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,5,1,6,3,4,7]=>[1,7,4,8,3,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,5,8,3,1,2,6,7]=>[5,4,1,6,8,7,3,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [8,2,6,5,1,7,4,3]=>[1,7,3,4,8,2,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,4,5,7,3,2,6]=>[8,1,5,4,2,6,7,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,8,6,2,7,3,5]=>[5,8,1,3,7,2,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,5,4,8,7,1,3]=>[7,3,4,5,1,2,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,7,1,3,2,4,8]=>[4,3,2,8,6,7,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,1,8,4,3,2,6,5]=>[2,8,1,5,6,7,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,1,5,4,2,6,7,3]=>[1,8,4,5,7,3,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,5,7,4,6,2,1]=>[1,6,4,2,5,3,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,6,2,5,1,3,7]=>[5,1,3,7,4,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,2,5,7,6,4,1]=>[6,1,7,4,2,3,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,7,8,4,5,6,2]=>[6,8,2,1,5,4,3,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,3,8,2,6,7,5,4]=>[8,6,1,7,3,2,4,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,1,7,2,6,8,5,4]=>[6,8,2,7,3,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,8,3,4,5,7,1,6]=>[7,1,6,5,4,2,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,8,5,2,7,6,4,3]=>[8,1,4,7,2,3,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,7,8,6,2,5,4,3]=>[8,2,1,3,7,4,5,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,2,5,6,4,8,3,1]=>[2,7,4,3,5,1,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,4,6,2,8,5,3,1]=>[2,5,3,7,1,4,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [5,3,4,7,6,8,2,1]=>[4,6,5,2,3,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,4,8,2,1,7,6]=>[4,6,5,1,7,8,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,3,6,1,7,4,8]=>[4,7,6,3,8,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,4,6,5,1,2,3]=>[2,1,5,3,4,8,7,6]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,7,5,4,1,2,8]=>[3,6,2,4,5,8,7,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,5,7,6,2,3,8,4]=>[8,4,2,3,7,6,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,3,7,6,2,5,8]=>[8,5,6,2,3,7,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,7,4,6,8,5,2]=>[8,6,2,5,3,1,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,3,4,7,2,8,6]=>[8,4,6,5,2,7,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,2,1,7,4,3,8]=>[4,3,7,8,2,5,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,5,6,2,8,7,3]=>[5,8,4,3,7,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,7,8,1,5,2,6]=>[6,5,2,1,8,4,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,8,3,1,7,6,2,5]=>[5,1,6,8,2,3,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,1,7,5,6,8,3]=>[7,5,8,2,4,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,6,3,2,1,5,8]=>[5,2,3,6,7,8,4,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [3,2,6,1,7,5,4,8]=>[6,7,3,8,2,4,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,3,7,4,6,8,2]=>[8,4,6,2,5,3,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,4,5,6,2,8,3]=>[8,2,5,4,3,7,1,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,4,5,8,6,2]=>[6,8,2,5,4,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,1,5,2,8,6,3]=>[5,2,8,4,7,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,1,5,8,6,3,2]=>[5,2,8,4,1,3,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,5,2,8,3,6,7,1]=>[5,4,7,1,6,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,5,1,2,3,8,6]=>[5,2,4,8,7,6,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,2,8,6,4,3,7,1]=>[4,7,1,3,5,6,2,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,5,7,3,6,1,8,4]=>[7,4,2,6,3,8,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,5,1,2,8,6]=>[6,2,5,4,8,7,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,6,1,8,5,3,2]=>[5,2,3,8,1,4,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,1,8,6,5,3,4,2]=>[2,8,1,3,4,6,5,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,6,2,1,8,7,5,4]=>[6,3,7,8,1,2,4,5]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,5,7,3,1,6,4]=>[7,1,4,2,6,8,3,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,4,6,1,2,5,3,7]=>[1,5,3,8,7,4,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,1,4,5,3,7,6]=>[7,1,8,5,4,6,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,6,8,3,4,1,5]=>[7,2,3,1,6,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,6,7,5,2,1,3]=>[5,1,3,2,4,7,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,8,7,3,6,2,5]=>[5,8,1,2,6,3,7,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,7,4,3,8,1,6]=>[4,7,2,5,6,1,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,6,5,8,4,2,3,7]=>[8,3,4,1,5,7,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,5,4,1,8,3,6]=>[2,7,4,5,8,1,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,6,2,1,5,3,7]=>[5,1,3,7,8,4,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,5,3,1,2,7,8,6]=>[5,4,6,8,7,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,7,6,8,4,5,1,3]=>[7,2,3,1,5,4,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,1,3,8,7,4]=>[4,7,3,8,6,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,1,4,8,5,7,2,6]=>[6,8,5,1,4,2,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,7,4,3,5,1]=>[1,7,3,2,5,6,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,5,8,1,4,7,6]=>[6,7,4,1,8,5,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,5,7,6,4,1,3]=>[1,7,4,2,3,5,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,2,8,7,4,6,1,5]=>[6,7,1,2,5,3,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,1,4,2,7,6,3]=>[4,1,8,5,7,2,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,5,7,2,1,4,3,8]=>[3,4,2,7,8,5,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,8,3,4,2,6,5]=>[8,2,1,6,5,7,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,3,4,8,1,6,5]=>[7,2,6,5,1,8,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,6,7,4,5,3,8]=>[7,8,3,2,5,4,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,4,6,2,3,8]=>[4,2,8,5,3,7,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,7,1,5,6,2,8]=>[5,6,2,8,4,3,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,2,4,6,1,8,7,3]=>[4,7,5,3,8,1,2,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,6,2,7,1,4,5]=>[6,1,3,7,2,8,5,4]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,7,5,2,6,4,8]=>[6,8,2,4,7,3,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,2,8,7,6,1,4]=>[6,4,7,1,2,3,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,6,5,3,7,2,8]=>[5,8,3,4,6,2,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,3,6,5,8,4,2,7]=>[8,6,3,4,1,5,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,6,1,4,3,8,7]=>[7,4,3,8,5,6,1,2]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,4,8,5,7,1,2]=>[3,6,5,1,4,2,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,3,7,8,1,6,5]=>[7,5,6,2,1,8,3,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,2,4,5,8,3]=>[2,8,3,7,5,4,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,7,1,2,6,8,3,5]=>[5,2,8,7,3,1,6,4]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,1,5,6,2,4,8,3]=>[2,8,4,3,7,5,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,8,1,2,5,4,6,7]=>[6,1,8,7,4,5,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,2,1,7,5,6,8]=>[6,5,7,8,2,4,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,8,1,4,6,7]=>[6,4,7,1,8,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,8,7,2,3,5,1]=>[5,3,1,2,7,6,4,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,8,7,2,6,5,1]=>[6,5,1,2,7,3,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,4,7,8,3,1,5]=>[3,7,5,2,1,6,8,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,2,3,5,1,7,6]=>[5,1,7,6,4,8,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,6,3,4,8,7,1,2]=>[4,3,6,5,1,2,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,4,8,7,2,5]=>[8,3,6,5,1,2,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,6,5,2,3,8,7]=>[8,5,3,4,7,6,1,2]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,2,7,5,3,8,1,6]=>[5,7,2,4,6,1,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,7,6,3,5,8,2]=>[8,5,2,3,6,4,1,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,2,3,8,5,1,7,6]=>[5,7,6,1,4,8,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,7,6,5,2,8,3]=>[8,5,2,3,4,7,1,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,3,6,1,5,8,2]=>[5,2,6,3,8,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,8,2,5,7,3]=>[8,3,5,1,7,4,2,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,8,5,3,4,7,1]=>[3,7,1,4,6,5,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,6,8,5,4,1,7,3]=>[7,3,1,4,5,8,2,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,6,7,5,4,1,8,3]=>[7,3,2,4,5,8,1,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,7,8,1,5,6,3,2]=>[5,2,1,8,4,3,6,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,8,1,5,6,3,4]=>[2,7,1,8,4,3,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,7,1,5,3,8,4]=>[7,3,2,8,4,6,1,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,8,1,7,3,2]=>[3,5,4,1,8,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,3,5,4,2,6,1]=>[2,1,6,4,5,7,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,3,2,5,6,4,1]=>[2,1,6,7,4,3,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,6,3,4,1,5,2]=>[2,1,3,6,5,8,4,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,6,7,3,1,4,5,2]=>[1,3,2,6,8,5,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,6,3,5,7,2,4,8]=>[8,3,6,4,2,7,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,7,8,2,6,5,4,1]=>[6,2,1,7,3,4,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [8,3,6,7,4,5,1,2]=>[1,6,3,2,5,4,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,6,8,4,1,5,3,7]=>[7,3,1,5,8,4,6,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,7,4,6,8,5,1,3]=>[7,2,5,3,1,4,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,1,3,7,5,8,2]=>[5,3,8,6,2,4,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,6,8,2,1,3]=>[5,2,4,3,1,7,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,5,2,6,1,3]=>[5,2,1,4,7,3,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,6,4,8,5,7,1]=>[7,6,3,5,1,4,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,5,8,4,7,3,1,2]=>[3,4,1,5,2,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,6,4,8,7,5,1]=>[7,6,3,5,1,2,4,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,7,4,6,8,5,1]=>[7,6,2,5,3,1,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,5,7,6,3,4,2]=>[1,8,4,2,3,6,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,5,3,1,2,4,7]=>[3,1,4,6,8,7,5,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,5,2,3,6,8,1,7]=>[5,4,7,6,3,1,8,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,8,6,1,4,7]=>[7,4,6,1,3,8,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,3,1,5,4,6,8]=>[2,7,6,8,4,5,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,3,6,1,4,2,5,8]=>[2,6,3,8,5,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,4,1,6,8,2,5]=>[6,2,5,8,3,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,4,1,8,6,3,7]=>[4,7,5,8,1,3,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,4,2,8,3,1,6]=>[4,2,5,7,1,6,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,8,5,7,6,2,1]=>[6,5,1,4,2,3,7,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [4,2,3,6,7,5,8,1]=>[5,7,6,3,2,4,1,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,6,3,7,1,4,2]=>[4,1,3,6,2,8,5,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,6,7,5,1,4,2]=>[1,6,3,2,4,8,5,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,7,4,3,5,2,6]=>[1,8,2,5,6,4,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,2,5,1,3,8,4,6]=>[2,7,4,8,6,1,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,4,5,1,8,3,6,2]=>[2,5,4,8,1,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,5,3,8,6,2,4]=>[2,8,4,6,1,3,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,8,6,1,3,7,2,4]=>[4,1,3,8,6,2,7,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,3,6,4,8,7,1,5]=>[7,6,3,5,1,2,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,4,8,5,2,7]=>[6,3,8,5,1,4,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,2,5,8,3,6,4]=>[8,2,7,4,1,6,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,7,5,6,1,3,8]=>[7,5,2,4,3,8,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [7,4,6,3,1,5,8,2]=>[2,5,3,6,8,4,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,7,1,5,6,3,8,2]=>[5,2,8,4,3,6,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,1,2,5,7,8,4]=>[6,3,8,7,4,2,1,5]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [8,2,7,1,3,5,4,6]=>[1,7,2,8,6,4,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,4,2,8,6,1,5]=>[6,2,5,7,1,3,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,5,8,6,4,2,3,1]=>[2,4,1,3,5,7,6,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,2,7,1,3,5,4,8]=>[3,7,2,8,6,4,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,8,7,4,2,1,6,5]=>[6,1,2,5,7,8,3,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [3,1,5,4,8,2,6,7]=>[6,8,4,5,1,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,8,6,2,5,3,7,1]=>[5,1,3,7,4,6,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,1,5,4,6,8]=>[7,6,2,8,4,5,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,4,2,8,1,7,6]=>[4,6,5,7,1,8,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,6,7,5,4,2,1]=>[1,6,3,2,4,5,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,2,7,6,1,3,5,4]=>[1,7,2,3,8,6,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,3,5,4,7,1,6,8]=>[7,6,4,5,2,8,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,4,3,5,1,6,7]=>[1,7,5,6,4,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,4,6,5,1,3,7]=>[1,7,5,3,4,8,6,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,3,4,7,6,2,1]=>[4,1,6,5,2,3,7,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,5,2,3,8,7,6,1]=>[5,4,7,6,1,2,3,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,8,7,6,3,5,1,2]=>[5,1,2,3,6,4,8,7]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,3,5,4,6,8,2]=>[2,8,6,4,5,3,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,8,5,1,3,4,7]=>[7,3,1,4,8,6,5,2]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,1,6,8,2,5,7,4]=>[6,8,3,1,7,4,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,6,1,2,8,4,7,5]=>[6,3,8,7,1,5,2,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,5,4,3,7,2]=>[3,1,8,4,5,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,5,4,2,6,8,3]=>[8,2,4,5,7,3,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,7,4,1,5,3,2,8]=>[3,2,5,8,4,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,6,1,2,8,5,3]=>[5,2,3,8,7,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,5,4,6,8,2,7,3]=>[8,4,5,3,1,7,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,4,6,7,2,5,3,8]=>[8,5,3,2,7,4,6,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,5,4,6,8,3,2,7]=>[8,4,5,3,1,6,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,3,4,5,2,7]=>[8,3,1,6,5,4,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,4,6,8,7,2,5]=>[8,6,5,3,1,2,7,4]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [2,4,5,7,8,3,6,1]=>[7,5,4,2,1,6,3,8]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [4,7,1,3,6,2,8,5]=>[5,2,8,6,3,7,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,8,1,4,3,5,6]=>[2,7,1,8,5,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,2,5,8,4,3,6]=>[2,8,7,4,1,5,6,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,3,1,5,7,2,8]=>[5,3,6,8,4,2,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,6,8,5,7,2,3]=>[5,8,3,1,4,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,7,4,6,3,2,8]=>[4,8,2,5,3,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,6,3,5,2,7,8]=>[8,5,3,6,4,7,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,6,7,5,2,8,3]=>[8,5,3,2,4,7,1,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [6,4,5,1,3,7,2,8]=>[3,5,4,8,6,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,4,8,1,3,5,2,7]=>[3,5,1,8,6,4,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,1,2,8,7,4,3,6]=>[4,8,7,1,2,5,6,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,4,5,1,3,6,2,7]=>[1,5,4,8,6,3,7,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,1,5,4,2,8,3]=>[3,2,8,4,5,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,1,7,5,4,6,2]=>[6,1,8,2,4,5,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,2,6,1,8,5,7]=>[6,5,7,3,8,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,3,7,1,8,5,6]=>[5,7,6,2,8,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,6,7,4,3,5]=>[1,8,7,3,2,5,6,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,2,6,7,1,5,3,8]=>[5,7,3,2,8,4,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,7,3,1,2,5,8,6]=>[5,2,6,8,7,4,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,2,3,6,1,8,7,5]=>[5,7,6,3,8,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,8,6,2,7,5,1]=>[6,5,1,3,7,2,4,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,7,4,2,3,1,8,6]=>[4,2,5,7,6,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,8,1,4,2,5,6]=>[6,2,1,8,5,7,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,5,4,2,7,1]=>[3,1,6,4,5,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,3,1,5,2,6,8]=>[5,2,6,8,4,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,8,6,4,3,7,2,1]=>[4,1,3,5,6,2,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,6,2,4,5,1,7,8]=>[6,3,7,5,4,8,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,3,7,2,5,6,4,1]=>[1,6,2,7,4,3,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,8,1,6,5,3,7,2]=>[5,1,8,3,4,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,6,4,7,3,1,2]=>[4,1,3,5,2,6,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,6,8,4,1,2,5,3]=>[2,3,1,5,8,7,4,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,6,1,5,4,7,2]=>[6,1,3,8,4,5,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,6,3,1,7,5,2]=>[5,1,3,6,8,2,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [2,5,3,6,8,7,1,4]=>[7,4,6,3,1,2,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,2,4,5,8,7,3]=>[3,8,7,5,4,1,2,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,6,8,1,2,7,3,4]=>[4,3,1,8,7,2,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,4,2,5,3,8,7]=>[8,3,5,7,4,6,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,6,2,5,8,7,1]=>[5,6,3,7,4,1,2,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,4,7,1,6,8,5,3]=>[7,5,2,8,3,1,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,6,5,1,7,8,4,2]=>[6,3,4,8,2,1,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,2,3,7,6,5,1,4]=>[1,7,6,2,3,4,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,6,1,8,7,5,4,3]=>[7,3,8,1,2,4,5,6]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,6,1,7,3,2,4,8]=>[4,3,8,2,6,7,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,2,6,8,3,5,7,1]=>[5,7,3,1,6,4,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,6,1,3,7,2,8]=>[5,4,3,8,6,2,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,3,7,5,2,6,8]=>[8,5,6,2,4,7,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,4,3,1,6,5,8]=>[7,2,5,6,8,3,4,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,2,5,3,1,8,4,7]=>[3,7,4,6,8,1,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,4,8,5,2,6,7]=>[6,8,5,1,4,7,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,8,1,3,7,2,5]=>[5,3,1,8,6,2,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,6,5,1,2,8]=>[6,2,5,3,4,8,7,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,7,5,3,6,2,1]=>[5,1,2,4,6,3,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,8,4,6,5,1,2,7]=>[6,1,5,3,4,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,8,3,5,1,4,2,7]=>[3,1,6,4,8,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,7,1,2,6,5,4]=>[6,1,2,8,7,3,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,2,3,1,5,4,6,7]=>[1,7,6,8,4,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,8,4,5,1,7,2,6]=>[6,1,5,4,8,2,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,5,6,2,4,8,1]=>[6,2,4,3,7,5,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,3,8,7,1,6,5]=>[5,7,6,1,2,8,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,4,5,2,6,1,8]=>[6,2,5,4,7,3,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,4,5,8,2,6,3]=>[8,2,5,4,1,7,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,6,2,1,3,4,7]=>[4,1,3,7,8,6,5,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [2,7,3,8,6,1,4,5]=>[7,2,6,1,3,8,5,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,7,1,2,3,5,4,8]=>[3,2,8,7,6,4,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,8,5,4,2,3,7]=>[3,8,1,4,5,7,6,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,1,7,8,4,6,2,3]=>[4,8,2,1,5,3,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,2,5,7,4,3,8]=>[3,8,7,4,2,5,6,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,2,7,5,6,3,1]=>[5,1,7,2,4,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,2,4,8,7,3,5]=>[3,8,7,5,1,2,6,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,4,1,7,3,8,5]=>[7,3,5,8,2,6,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,2,5,4,8,3,1]=>[3,2,7,4,5,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,2,4,5,7,6,3]=>[1,8,7,5,4,2,3,6]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,3,5,8,7,4,2,6]=>[8,6,4,1,2,5,7,3]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,4,7,5,6,3,8,2]=>[8,5,2,4,3,6,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,4,2,5,6,8,1]=>[6,2,5,7,4,3,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,8,5,3,7,6,1,4]=>[7,1,4,6,2,3,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,3,5,2,4,7,6,1]=>[1,6,4,7,5,2,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,6,2,7,5,1,3]=>[1,5,3,7,2,4,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,4,8,5,6,3,1]=>[7,2,5,1,4,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,3,1,5,8,4,7]=>[3,7,6,8,4,1,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,3,6,2,8,7,5]=>[5,8,6,3,7,1,2,4]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,4,7,1,3,8,6]=>[4,7,5,2,8,6,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,5,4,3,6,8,2]=>[2,8,4,5,6,3,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,4,6,3,1,8,7]=>[4,7,5,3,6,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,6,1,7,8,5,4,3]=>[7,3,8,2,1,4,5,6]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,1,7,3,2,8,6,4]=>[4,8,2,6,7,1,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,3,5,6,7,2,1,4]=>[1,6,4,3,2,7,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,7,4,5,1,8]=>[7,3,6,2,5,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,3,4,7,5,1,8]=>[3,7,6,5,2,4,8,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,8,2,5,1,4,6,3]=>[2,1,7,4,8,5,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,7,1,3,2,6,8]=>[5,4,2,8,6,7,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,1,3,8,7,2,5,6]=>[5,8,6,1,2,7,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,7,3,5,6,4,8]=>[7,8,2,6,4,3,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,3,6,2,7,5,1]=>[5,1,6,3,7,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,5,3,6,8,2,1]=>[5,2,4,6,3,1,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,8,2,6,4,1,7,5]=>[6,1,7,3,5,8,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,5,6,4,7,3,1]=>[7,1,4,3,5,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,5,2,1,3,6,4]=>[2,1,4,7,8,6,3,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,1,4,7,3,8,5,2]=>[3,8,5,2,6,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,7,4,8,1,5,3,6]=>[7,2,5,1,8,4,6,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,8,3,5,6,1,7]=>[5,7,1,6,4,3,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,2,6,7,1,4,3]=>[4,1,7,3,2,8,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,4,2,8,6,1,7]=>[4,6,5,7,1,3,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,5,3,1,6,7,4]=>[1,7,4,6,8,3,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,3,6,5,1,7,4]=>[7,1,6,3,4,8,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,3,5,2,6,7,4]=>[1,8,6,4,7,3,2,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,1,6,3,5,4,7]=>[7,1,8,3,6,4,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,1,7,5,3,8]=>[3,7,5,8,2,4,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,6,3,4,7,2,5,8]=>[8,3,6,5,2,7,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,3,7,8,6,2,1,4]=>[4,6,2,1,3,7,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,7,6,8,2,4,5]=>[8,6,2,3,1,7,5,4]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,8,6,3,2,4,7]=>[8,4,1,3,6,7,5,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,2,6,5,3,7,8]=>[8,5,7,3,4,6,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,8,7,5,6,2,4,3]=>[8,1,2,4,3,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,7,3,5,2,4,6]=>[8,1,2,6,4,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,1,5,4,3,7,2,8]=>[3,8,4,5,6,2,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,7,6,4,2,5,1]=>[1,6,2,3,5,7,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [8,3,7,6,4,1,5,2]=>[1,6,2,3,5,8,4,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,8,7,5,1,3,6,4]=>[7,1,2,4,8,6,3,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,3,2,4,7,6,5]=>[8,1,6,7,5,2,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,3,4,6,1,7,5,2]=>[1,6,5,3,8,2,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,8,6,4,7,3,2]=>[4,8,1,3,5,2,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,3,6,7,2,5,4,1]=>[1,6,3,2,7,4,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,5,3,7,8,1,4]=>[7,3,4,6,2,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,6,4,2,5,8,7,3]=>[8,3,5,7,4,1,2,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,3,6,8,1,5,4]=>[7,2,6,3,1,8,4,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,2,6,8,3,5,7,4]=>[8,7,3,1,6,4,2,5]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,3,7,6,2,5,8,4]=>[8,6,2,3,7,4,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,6,4,8,2,3,7,5]=>[8,3,5,1,7,6,2,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,7,3,8,1,4,6]=>[4,7,2,6,1,8,5,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,2,3,7,8,1,4,6]=>[4,7,6,2,1,8,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,5,2,1,8,7,4,6]=>[6,4,7,8,1,2,5,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,6,7,1,2,4,3,5]=>[1,3,2,8,7,5,6,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,2,5,8,1,7,4,6]=>[6,7,4,1,8,2,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,4,7,6,3,1,8]=>[4,7,5,2,3,6,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,6,4,5,7,3,2]=>[1,8,3,5,4,2,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,6,5,1,7,3,4,8]=>[7,3,4,8,2,6,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,2,8,1,4,5,7]=>[6,3,7,1,8,5,4,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,6,2,1,8,7,3,5]=>[5,3,7,8,1,2,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,5,4,1,2,7]=>[3,1,6,4,5,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,1,8,4,2,6,7]=>[6,4,8,1,5,7,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,3,2,1,7,8,5]=>[5,3,6,7,8,2,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,5,2,8,7,6,1,3]=>[5,4,7,1,2,3,8,6]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,1,8,3,4,7,2,6]=>[4,8,1,6,5,2,7,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,1,4,5,7,3,8]=>[7,3,8,5,4,2,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,3,8,7,1,4]=>[4,3,7,6,1,2,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,8,4,3,5,7,2,1]=>[3,1,5,6,4,2,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,4,7,5,2,6,8,1]=>[6,5,2,4,7,3,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,7,4,5,8,6,3,2]=>[8,2,5,4,1,3,6,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,8,4,1,5,6,2,7]=>[6,1,5,8,4,3,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,8,6,4,3,5,2]=>[8,2,1,3,5,6,4,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [2,3,8,1,7,4,6,5]=>[7,6,1,8,2,5,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,5,6,2,8,4,3]=>[2,8,4,3,7,1,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,5,2,8,3,1,6]=>[5,2,4,7,1,6,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,2,5,7,1,4,3,6]=>[1,7,4,2,8,5,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,4,6,8,7,3]=>[7,4,8,5,3,1,2,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [3,5,2,7,8,6,1,4]=>[6,4,7,2,1,3,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,3,5,2,8,4,1]=>[3,2,6,4,7,1,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,2,3,7,1,4,8,5]=>[3,7,6,2,8,5,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,7,5,3,6,2,4]=>[8,1,2,4,6,3,7,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,3,4,6,7,1,2,5]=>[1,6,5,3,2,8,7,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,2,4,3,6,8,5]=>[8,2,7,5,6,3,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,4,7,2,3,6,8]=>[8,4,5,2,7,6,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,7,2,5,8,3,4,1]=>[3,2,7,4,1,6,5,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,6,7,4,1,2,5]=>[6,1,3,2,5,8,7,4]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,2,7,5,6,4,3]=>[1,8,7,2,4,3,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,1,4,7,5,3,6]=>[7,1,8,5,2,4,6,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,2,4,7,3,5]=>[8,3,1,7,5,2,6,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,4,1,2,5,6,8]=>[6,2,5,8,7,4,3,1]=>[1,3,1,1,1,1]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [6,3,4,7,2,5,1,8]=>[3,6,5,2,7,4,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,4,5,7,1,3,8]=>[3,7,5,4,2,8,6,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,4,1,8,3,7,6]=>[4,7,5,8,1,6,2,3]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,7,6,8,4,1,5]=>[7,6,2,3,1,5,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,6,3,2,1,4,8]=>[4,2,3,6,7,8,5,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [6,1,4,7,5,2,3,8]=>[3,8,5,2,4,7,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,8,4,2,6,7,3]=>[4,8,1,5,7,3,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,4,6,8,2,3,5]=>[8,2,5,3,1,7,6,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,7,8,4,6,3,1,2]=>[4,2,1,5,3,6,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,7,5,4,1,2,8]=>[6,3,2,4,5,8,7,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,2,3,8,1,7,4]=>[4,3,7,6,1,8,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,6,4,5,7,1]=>[1,7,6,3,5,4,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,3,6,2,5,1,7,4]=>[1,6,3,7,4,8,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,8,5,1,7,6,3]=>[7,5,1,4,8,2,3,6]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,6,4,7,2,1,5,8]=>[6,3,5,2,7,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,7,1,2,5,4,8]=>[3,6,2,8,7,4,5,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,7,2,1,4,3,5,8]=>[3,2,7,8,5,6,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,7,6,2,8,5,4,1]=>[6,2,3,7,1,4,5,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,3,6,7,4,1,5,8]=>[7,6,3,2,5,8,4,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [5,7,2,6,8,3,1,4]=>[4,2,7,3,1,6,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,8,3,4,1,7,5]=>[3,7,1,6,5,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,4,8,5,3,6,2]=>[2,8,5,1,4,6,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,8,4,6,1,5,7]=>[6,7,1,5,3,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,8,5,4,2,1,7]=>[3,6,1,4,5,7,8,2]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,4,3,8,1,7,6,5]=>[7,5,6,1,8,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,4,8,1,6,7,5]=>[6,7,5,1,8,3,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,4,1,8,6,5,3]=>[7,2,5,8,1,3,4,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,8,6,5,4,7,2,1]=>[6,1,3,4,5,2,7,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,8,5,1,4,7,2,3]=>[3,1,4,8,5,2,7,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,4,6,7,5,1,3]=>[7,1,5,3,2,4,8,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,7,4,6,2,8,3]=>[4,8,2,5,3,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,8,7,6,1,5,4]=>[7,6,1,2,3,8,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,1,8,2,4,7,5,3]=>[3,8,1,7,5,2,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,8,2,6,5,7,3,1]=>[5,1,7,3,4,2,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,3,1,6,4,5,8]=>[2,7,6,8,3,5,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,3,1,6,4,5,7]=>[1,7,6,8,3,5,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,2,5,1,4,7,6,3]=>[1,7,4,8,5,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,2,7,3,8,4,6,1]=>[4,7,2,6,1,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,5,1,6,2,7,4]=>[1,6,4,8,3,7,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,8,3,1,5,2,4]=>[3,2,1,6,8,4,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,1,3,4,5,6,2,7]=>[1,8,6,5,4,3,7,2]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,8,1,5,2,3,4,6]=>[2,1,8,4,7,6,5,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [3,7,6,5,2,8,4,1]=>[6,2,3,4,7,1,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,6,4,2,8,7,3,1]=>[4,3,5,7,1,2,6,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,5,8,7,6,2,1,4]=>[6,4,1,2,3,7,8,5]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,5,8,1,6,2,4,7]=>[6,4,1,8,3,7,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,4,2,6,5,1,7]=>[6,1,5,7,3,4,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,6,8,7,2,3,1]=>[5,4,3,1,2,7,6,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [5,2,7,6,1,3,4,8]=>[4,7,2,3,8,6,5,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,4,5,3,2,1,8,6]=>[2,5,4,6,7,8,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,8,4,1,3,5,2,6]=>[2,1,5,8,6,4,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,7,5,3,4,8]=>[7,3,8,2,4,6,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,5,2,4,6,7,1]=>[1,6,4,7,5,3,2,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,7,2,6,5,4,8,1]=>[6,2,7,3,4,5,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,5,2,7,8,6,3]=>[8,5,4,7,2,1,3,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [3,5,6,4,7,1,2,8]=>[6,4,3,5,2,8,7,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,1,5,6,4,7,2,8]=>[6,8,4,3,5,2,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,3,4,1,5,7,2,8]=>[3,6,5,8,4,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,8,6,3,2,5,7]=>[5,8,1,3,6,7,4,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,1,8,5,2,4,3,6]=>[2,8,1,4,7,5,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,7,3,1,6,8,5,4]=>[7,2,6,8,3,1,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,5,6,8,2,1,4]=>[6,2,4,3,1,7,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,8,3,5,4,6,1,7]=>[7,1,6,4,5,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,7,1,6,8,4,3]=>[7,4,2,8,3,1,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,6,4,5,1,3,2]=>[2,1,3,5,4,8,6,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,8,2,7,5,6]=>[8,5,6,1,7,2,4,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,3,5,2,4,6,7]=>[8,1,6,4,7,5,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [5,1,4,7,6,2,8,3]=>[4,8,5,2,3,7,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,5,4,1,6,2,7]=>[6,1,4,5,8,3,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [5,8,1,3,6,2,4,7]=>[4,1,8,6,3,7,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,8,3,6,2,4,7]=>[4,8,1,6,3,7,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,6,1,3,2,4,7]=>[4,1,3,8,6,7,5,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,6,8,1,4,2,5]=>[2,6,3,1,8,5,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,6,8,4,5,2,7]=>[6,8,3,1,5,4,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,7,5,4,2,8]=>[3,8,6,2,4,5,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,1,7,5,3,4,8,6]=>[7,8,2,4,6,5,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,7,5,6,4,1,2]=>[1,6,2,4,3,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,7,6,2,4,1,5]=>[1,6,2,3,7,5,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,8,7,2,4,3,5]=>[3,8,1,2,7,5,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,4,7,3,6,1,8]=>[4,7,5,2,6,3,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,6,7,2,1,5,3,4]=>[1,3,2,7,8,4,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,6,3,5,4,1,2]=>[2,1,3,6,4,5,8,7]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,8,6,1,2,7,5]=>[5,6,1,3,8,7,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,5,4,7,1,3,8,6]=>[7,4,5,2,8,6,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,6,8,4,5,1,7]=>[6,7,3,1,5,4,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,3,6,2,7,8,4]=>[4,8,6,3,7,2,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,8,5,6,2,4,3]=>[8,2,1,4,3,7,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,6,3,4,8,7,2]=>[4,8,3,6,5,1,2,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,1,7,6,8,3,5,2]=>[5,8,2,3,1,6,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,1,8,2,4,3,7]=>[4,3,8,1,7,5,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,6,4,1,2,8,5]=>[6,2,3,5,8,7,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,7,2,6,4,8,3,5]=>[8,2,7,3,5,1,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,5,6,2,4,8,3]=>[8,2,4,3,7,5,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,4,8,2,3,6,5]=>[8,2,5,1,7,6,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,4,8,2,3,5,6]=>[8,2,5,1,7,6,4,3]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,3,8,5,6,1,2,7]=>[5,6,1,4,3,8,7,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,6,7,5,2,4,1,3]=>[1,3,2,4,7,5,8,6]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,1,3,2,8,7,6]=>[5,4,8,6,7,1,2,3]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,5,8,3,4,7,1,2]=>[3,4,1,6,5,2,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,2,6,1,3,5,4]=>[2,1,7,3,8,6,4,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,8,7,1,2,3,6,4]=>[4,1,2,8,7,6,3,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,2,7,1,4,6,5]=>[6,1,7,2,8,5,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,2,8,7,3,6,4]=>[4,8,7,1,2,6,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,4,6,1,8,3,7]=>[7,4,5,3,8,1,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,3,6,5,1,4,8]=>[7,2,6,3,4,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,1,8,5,6,2,7]=>[6,5,8,1,4,3,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,6,8,4,3,7]=>[7,4,8,3,1,5,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,3,7,2,5,4,8]=>[3,8,6,2,7,4,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,1,3,4,6,2,7]=>[4,1,8,6,5,3,7,2]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,8,1,2,6,5,7,4]=>[6,1,8,7,3,4,2,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,6,8,2,7,4,5,1]=>[6,3,1,7,2,5,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,8,7,5,3,6,2]=>[8,5,1,2,4,6,3,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,6,5,1,8,2,7,3]=>[5,3,4,8,1,7,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,6,4,1,8,3]=>[7,2,4,3,5,8,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,3,6,7,5,1,2]=>[5,1,6,3,2,4,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,2,7,8,5,4]=>[8,3,6,7,2,1,4,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,7,6,4,8,5,2,3]=>[8,2,3,5,1,4,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,6,2,5,3,4,8]=>[8,2,3,7,4,6,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,6,4,2,8,5,7,3]=>[8,3,5,7,1,4,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,4,3,8,6,7,2,5]=>[8,5,6,1,3,2,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,7,5,4,2,1,6]=>[1,6,2,4,5,7,8,3]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [2,5,3,6,4,1,7,8]=>[7,4,6,3,5,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,2,5,3,1,4,7,8]=>[3,7,4,6,8,5,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [2,3,8,5,1,6,4,7]=>[7,6,1,4,8,3,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,3,7,6,4,1,8,5]=>[7,6,2,3,5,8,1,4]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,3,4,6,7,2,5,1]=>[1,6,5,3,2,7,4,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,4,6,8,2,5]=>[6,8,2,5,3,1,7,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,3,4,1,2,8,5,6]=>[2,6,5,8,7,1,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,2,8,6,5,3,4]=>[2,8,7,1,3,4,6,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,7,3,5,6,4,1]=>[1,7,2,6,4,3,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,7,8,5,4,1,3,2]=>[3,2,1,4,5,8,6,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [8,3,5,4,7,2,6,1]=>[1,6,4,5,2,7,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,6,7,4,8,2,5,1]=>[6,3,2,5,1,7,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,8,4,5,2,7,1]=>[6,3,1,5,4,7,2,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,7,1,4,8,6]=>[4,7,6,2,8,5,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,2,3,8,1,5,6]=>[5,2,7,6,1,8,4,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,7,4,5,1,6,8,3]=>[7,2,5,4,8,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,4,7,1,5,8,2]=>[3,6,5,2,8,4,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,7,5,4,1,8,2]=>[3,6,2,4,5,8,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,3,7,5,1,6,8,4]=>[7,6,2,4,8,3,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,7,3,5,1,6,4,8]=>[7,2,6,4,8,3,5,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,1,4,5,2,6,7]=>[6,1,8,5,4,7,3,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,4,6,1,7,3,2,8]=>[4,5,3,8,2,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,3,1,8,6,2,7]=>[5,4,6,8,1,3,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,3,5,4,2,7,6]=>[1,8,6,4,5,7,2,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,8,6,1,5,2,4]=>[6,2,1,3,8,4,7,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,6,4,5,1,7,3,8]=>[7,3,5,4,8,2,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,2,5,7,6,4]=>[1,8,6,7,4,2,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,1,6,7,4,3,5,2]=>[1,8,3,2,5,6,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,7,3,4,5,1,8,2]=>[3,2,6,5,4,8,1,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,5,1,6,4,7]=>[1,7,6,4,8,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,1,2,8,7,4,5]=>[6,3,8,7,1,2,5,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,2,8,5,4,7]=>[6,3,8,7,1,4,5,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,1,2,7,5,4,8]=>[6,3,8,7,2,4,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,5,6,2,4,3,8]=>[2,8,4,3,7,5,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,4,8,3,6,5,1]=>[7,2,5,1,6,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,2,4,5,7,3,8]=>[8,3,7,5,4,2,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,7,8,4,6,2,3,1]=>[4,2,1,5,3,7,6,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,3,5,2,6,1]=>[5,2,1,6,4,7,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,8,5,7,3,4,1]=>[7,3,1,4,2,6,5,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,4,5,1,8,3,7,2]=>[3,5,4,8,1,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,3,4,6,8,7,2,1]=>[4,6,5,3,1,2,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,3,5,1,4,7,8,2]=>[3,6,4,8,5,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,7,5,1,4,2,6,8]=>[6,2,4,8,5,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,6,1,7,4,5,8,2]=>[6,3,8,2,5,4,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,6,4,7,3,2,5,8]=>[8,3,5,2,6,7,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,6,8,7,2,4,3]=>[8,4,3,1,2,7,5,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,3,6,4,2,7,8,5]=>[8,6,3,5,7,2,1,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,4,3,8,5,2,6,7]=>[8,5,6,1,4,7,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,4,2,7,8,6,3]=>[8,4,5,7,2,1,3,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,4,3,2,8,5,1]=>[3,2,5,6,7,1,4,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,7,6,3,2,1,8,5]=>[5,2,3,6,7,8,1,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,3,6,8,7,4,2,1]=>[4,6,3,1,2,5,7,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [2,7,3,5,6,8,1,4]=>[7,2,6,4,3,1,8,5]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,6,5,7,3,1,8,2]=>[5,3,4,2,6,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,1,6,8,5,2,7]=>[6,5,8,3,1,4,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,3,5,6,4,8,1,7]=>[7,6,4,3,5,1,8,2]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,6,7,5,2,8,1,3]=>[5,3,2,4,7,1,8,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,6,3,5,1,2,8]=>[5,2,3,6,4,8,7,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,8,3,1,6,5,2,7]=>[5,1,6,8,3,4,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,2,4,6,5,1,7]=>[6,1,7,5,3,4,8,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,5,2,6,3,1]=>[5,2,1,4,7,3,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,8,1,5,3,6,4,7]=>[7,1,8,4,6,3,5,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,4,1,5,8,3,6]=>[2,7,5,8,4,1,6,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,4,6,8,5,2,7]=>[6,8,5,3,1,4,7,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,1,8,4,3,6,7]=>[7,4,8,1,5,6,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,2,3,1,8,5,7]=>[5,3,7,6,8,1,4,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,3,8,6,7,1,4]=>[4,7,6,1,3,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,2,5,8,6,7,1,4]=>[6,7,4,1,3,2,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,8,4,6,5,3,2]=>[8,2,1,5,3,4,6,7]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [2,1,5,8,6,3,4,7]=>[7,8,4,1,3,6,5,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,4,8,6,7,2,3]=>[4,8,5,1,3,2,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,3,5,8,6,4,7]=>[7,8,6,4,1,3,5,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,6,7,8,4,5,2]=>[8,6,3,2,1,5,4,7]=>[1,1,1,1,2,2]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,3,7,8,4,5,2,6]=>[8,6,2,1,5,4,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [8,4,6,5,1,2,3,7]=>[1,5,3,4,8,7,6,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,5,7,3,1,4,6,2]=>[1,4,2,6,8,5,3,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,4,7,1,6,3,2,5]=>[1,5,2,8,3,6,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,1,2,7,6,5,3,4]=>[1,8,7,2,3,4,6,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,4,6,8,5,1,2]=>[6,2,5,3,1,4,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,6,4,8,1,7]=>[7,4,6,3,5,1,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,8,1,4,3,6,7]=>[7,4,1,8,5,6,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,3,8,1,7,5,4,6]=>[7,6,1,8,2,4,5,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,7,3,4,6,2,8]=>[4,8,2,6,5,3,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,3,7,6,1,5,4]=>[1,7,6,2,3,8,4,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,1,5,3,7,2,8]=>[5,3,8,4,6,2,7,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,5,3,6,1,7]=>[5,1,7,4,6,3,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,4,3,1,2,6,7]=>[4,1,5,6,8,7,3,2]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [8,2,6,4,5,7,1,3]=>[1,7,3,5,4,2,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,1,8,3,5,4,6,7]=>[7,8,1,6,4,5,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,3,5,8,4,7,2]=>[3,8,6,4,1,5,2,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,5,4,6,1,3,8]=>[7,2,4,5,3,8,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,3,6,1,2,8,5,4]=>[2,6,3,8,7,1,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,4,5,3,2,7,1,6]=>[1,5,4,6,7,2,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,4,8,5,1,6,7]=>[6,7,5,1,4,8,3,2]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,3,1,6,2,5,7]=>[5,1,6,8,3,7,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,3,4,2,6,1,5,7]=>[1,6,5,7,3,8,4,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,7,2,1,3,6,8]=>[4,5,2,7,8,6,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,8,3,2,4,6,7,1]=>[4,1,6,7,5,3,2,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [8,1,2,6,4,7,3,5]=>[1,8,7,3,5,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,7,8,1,3,2,6]=>[5,4,2,1,8,6,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [4,1,7,5,3,8,2,6]=>[5,8,2,4,6,1,7,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,2,5,8,1,6,4,7]=>[6,7,4,1,8,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,2,4,5,8,7,6]=>[6,8,7,5,4,1,2,3]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,2,7,5,3,1,6,8]=>[5,7,2,4,6,8,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,3,6,2,5,8,4,1]=>[2,6,3,7,4,1,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,3,8,5,1,2,7,4]=>[3,6,1,4,8,7,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,4,5,8,3,7,2,6]=>[8,5,4,1,6,2,7,3]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,7,2,6,1,4,8,5]=>[6,2,7,3,8,5,1,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,7,4,6,5,1,3]=>[7,1,2,5,3,4,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,6,4,8,5,1,7]=>[7,6,3,5,1,4,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,5,1,8,6,3,4]=>[2,7,4,8,1,3,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,8,1,5,3,4,2,6]=>[2,1,8,4,6,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,7,2,6,8,1]=>[4,6,5,2,7,3,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,5,1,4,6,3,7]=>[1,7,4,8,5,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,4,8,6,7,3,2]=>[8,4,5,1,3,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,6,8,2,5,3,1,4]=>[2,3,1,7,4,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,8,5,4,1,7,6]=>[7,6,1,4,5,8,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,1,4,5,8,7,6,2]=>[6,8,5,4,1,2,3,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,8,7,5,6,3,2,4]=>[8,1,2,4,3,6,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,5,1,3,6,4,7]=>[7,1,4,8,6,3,5,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,4,6,1,8,5,2]=>[2,6,5,3,8,1,4,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,7,6,3,4,8,2,1]=>[4,2,3,6,5,1,7,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,6,8,3,4,7,2,1]=>[4,3,1,6,5,2,7,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,3,4,8,5,2,7,1]=>[3,6,5,1,4,7,2,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,7,2,8,6,3,1]=>[4,5,2,7,1,3,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,6,7,3,4,5,2,8]=>[8,3,2,6,5,4,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,6,3,4,2,7,1]=>[4,1,3,6,5,7,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,8,6,1,4,3,7,2]=>[4,1,3,8,5,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,5,2,4,6,1,3]=>[2,1,4,7,5,3,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,1,6,3,2,4,8]=>[4,2,8,3,6,7,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,6,2,4,3,7,1]=>[4,1,3,7,5,6,2,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,6,4,8,3,2,7,1]=>[4,3,5,1,6,7,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,6,5,8,3,7,2,1]=>[5,3,4,1,6,2,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,7,1,8,3,2,6]=>[5,4,2,8,1,6,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,5,8,6,7,3,1,2]=>[5,4,1,3,2,6,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,8,3,1,7,6,4]=>[4,7,1,6,8,2,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,4,3,6,5,1,7]=>[7,1,5,6,3,4,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,1,4,6,5,3,7]=>[7,1,8,5,3,4,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,8,3,1,5,4,7]=>[3,7,1,6,8,4,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,6,2,1,7,3,4]=>[1,4,3,7,8,2,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,6,2,1,7,4,3]=>[4,1,3,7,8,2,5,6]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,8,3,5,2,1,7,6]=>[5,1,6,4,7,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,8,7,4,3,1,5]=>[3,7,1,2,5,6,8,4]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,4,8,7,3,2,5,6]=>[8,5,1,2,6,7,4,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,8,2,6,5,4,7,1]=>[6,1,7,3,4,5,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,3,8,7,5,2,6]=>[8,5,6,1,2,4,7,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,8,7,2,3,5,6,1]=>[5,1,2,7,6,4,3,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,1,5,4,2,8,3,7]=>[3,8,4,5,7,1,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,6,7,3,1,8,4]=>[4,7,3,2,6,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,3,8,5,4,1,7]=>[3,7,6,1,4,5,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,5,6,1,8,2,4]=>[6,2,4,3,8,1,7,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,2,6,4,3,1,5]=>[2,1,7,3,5,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,6,1,4,7,2,8]=>[6,4,3,8,5,2,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,4,2,7,1,3,6]=>[4,1,5,7,2,8,6,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,2,5,1,8,6,3]=>[5,2,7,4,8,1,3,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,4,3,7,1,8,6]=>[7,4,5,6,2,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,8,4,3,6,7,2,5]=>[8,1,5,6,3,2,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,3,4,2,8,5,1]=>[3,2,6,5,7,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,7,3,2,1,6,5]=>[1,5,2,6,7,8,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,4,6,5,7,8,2,3]=>[8,5,3,4,2,1,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,5,7,4,1,3,2]=>[3,1,4,2,5,8,6,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,1,7,5,3,2,4]=>[3,1,8,2,4,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,2,5,1,3,8,4]=>[3,2,7,4,8,6,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,4,6,8,5,1,3]=>[2,7,5,3,1,4,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,3,4,7,5,2,6]=>[1,8,6,5,2,4,7,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,8,7,2,3,6,5,1]=>[5,1,2,7,6,3,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,5,1,6,3,4,8]=>[7,2,4,8,3,6,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,4,6,3,7,1,5,8]=>[7,5,3,6,2,8,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,5,3,8,6,2,7,4]=>[8,4,6,1,3,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,6,5,1,8,7,2,4]=>[6,3,4,8,1,2,7,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,6,3,8,5,7,1,4]=>[7,3,6,1,4,2,8,5]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,6,8,2,1,4,3,5]=>[2,3,1,7,8,5,6,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,4,2,1,6,8,5]=>[2,6,5,7,8,3,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,7,2,4,3,1,8,5]=>[3,2,7,5,6,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,7,2,1,8,6,3,5]=>[5,2,7,8,1,3,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,2,5,8,6,3,7]=>[5,8,7,4,1,3,6,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,6,2,8,5,3,7]=>[5,8,3,7,1,4,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,6,4,7,8,1,3]=>[4,7,3,5,2,1,8,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,5,4,7,8,2,3,6]=>[8,4,5,2,1,7,6,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,5,7,8,1,4,6]=>[6,7,4,2,1,8,5,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,4,6,3,7,8,2,5]=>[8,5,3,6,2,1,7,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,3,5,2,7,8,1,4]=>[3,6,4,7,2,1,8,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,1,7,8,6,2,5,3]=>[5,8,2,1,3,7,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,8,3,4,2,7,5,1]=>[3,1,6,5,7,2,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,2,7,3,1,6,5]=>[5,1,7,2,6,8,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,8,3,4,7,6,1]=>[7,4,1,6,5,2,3,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,8,6,5,2,1,3,7]=>[5,1,3,4,7,8,6,2]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,5,3,6,7,2,4,8]=>[8,4,6,3,2,7,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,3,6,2,1,5,7,4]=>[1,6,3,7,8,4,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,8,6,4,3,5,2,7]=>[8,1,3,5,6,4,7,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,6,2,5,3,7,1,8]=>[5,3,7,4,6,2,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,1,3,7,8,2]=>[3,5,4,8,6,2,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [7,1,4,3,6,8,5,2]=>[2,8,5,6,3,1,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,1,8,2,4,7,6,3]=>[4,8,1,7,5,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,5,2,8,3,6,1]=>[5,2,4,7,1,6,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,3,8,6,4,1]=>[4,7,2,6,1,3,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [2,4,3,7,1,5,8,6]=>[7,5,6,2,8,4,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,2,5,6,3,8,7,1]=>[5,7,4,3,6,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,7,8,6,2,5]=>[6,8,5,2,1,3,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,6,8,2,4,3,1,5]=>[2,3,1,7,5,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,7,4,3,1,6,5]=>[1,7,2,5,6,8,3,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,7,4,1,3,8,6,5]=>[7,2,5,8,6,1,3,4]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,6,7,5,8,1,3,2]=>[5,3,2,4,1,8,6,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,4,8,3,5,1,7,6]=>[7,5,1,6,4,8,2,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,2,8,3,4,7,6]=>[4,8,7,1,6,5,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,6,3,2,5,7,1,8]=>[5,3,6,7,4,2,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,2,3,7,1,8,4,5]=>[3,7,6,2,8,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,6,7,1,5,2,4,8]=>[6,3,2,8,4,7,5,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,5,7,2,3,1,6,8]=>[5,4,2,7,6,8,3,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,2,7,4,1,3,5,8]=>[3,7,2,5,8,6,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,8,3,6,5,2,4,7]=>[8,1,6,3,4,7,5,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,5,7,3,1,2,6,8]=>[5,4,2,6,8,7,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,7,1,2,5,3,4,8]=>[3,2,8,7,4,6,5,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,1,5,2,8,6,4,7]=>[6,8,4,7,1,3,5,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,7,6,3,1,8,5,4]=>[7,2,3,6,8,1,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,2,7,1,6,8,4,3]=>[4,7,2,8,3,1,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,2,4,7,1,5,3,8]=>[3,7,5,2,8,4,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,5,2,4,3,6,7]=>[8,1,4,7,5,6,3,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,6,7,1,2,4,5,3]=>[1,3,2,8,7,5,4,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,2,3,5,7,4,6,1]=>[1,7,6,4,2,5,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,2,4,5,7,8]=>[3,8,6,7,5,4,2,1]=>[2,2,1,1,1,1]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>4 [2,8,1,7,3,6,5,4]=>[7,1,8,2,6,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,6,3,8,5,1,4]=>[2,7,3,6,1,4,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,3,6,1,4,5,8]=>[2,7,6,3,8,5,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,7,1,5,6,3,4]=>[1,7,2,8,4,3,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,3,4,2,7,5,6]=>[1,8,6,5,7,2,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,3,6,2,7,4,5]=>[1,8,6,3,7,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,6,7,3,1,4,5]=>[1,7,3,2,6,8,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,1,7,8,5,6,2,3]=>[5,8,2,1,4,3,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,1,3,8,5,6,4,7]=>[7,8,6,1,4,3,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,6,2,5,8,3,1]=>[2,5,3,7,4,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,5,7,1,3,4,2,8]=>[3,4,2,8,6,5,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,4,3,8,6,5,1]=>[7,2,5,6,1,3,4,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,7,5,3,2,1,8,6]=>[5,2,4,6,7,8,1,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [2,7,5,8,4,6,1,3]=>[7,2,4,1,5,3,8,6]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,4,7,3,1,6,2,8]=>[4,5,2,6,8,3,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,6,5,7,2,1,4]=>[1,6,3,4,2,7,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,6,8,5,4,7,1]=>[7,6,3,1,4,5,2,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,5,1,6,3,7,8,2]=>[5,4,8,3,6,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,5,6,8,1,4,2]=>[6,2,4,3,1,8,5,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,6,3,7,1,8]=>[4,7,5,3,6,2,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,8,4,6,1,3,2]=>[4,2,1,5,3,8,6,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,5,3,1,8,6]=>[2,7,5,4,6,8,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,4,5,3,1,8,6]=>[7,2,5,4,6,8,1,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,4,5,3,2,8,6]=>[2,8,5,4,6,7,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,3,7,1,5,4,8,6]=>[7,6,2,8,4,5,1,3]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,1,2,4,3,8,5,6]=>[2,8,7,5,6,1,4,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,7,6,5,1,3,8]=>[7,5,2,3,4,8,6,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,4,3,8,2,7,6,5]=>[8,5,6,1,7,2,3,4]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,2,7,8,6,5,4]=>[6,8,7,2,1,3,4,5]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,1,5,4,2,8,7,6]=>[6,8,4,5,7,1,2,3]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,7,5,1,8,3,2,6]=>[5,2,4,8,1,6,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,8,3,2,6,4]=>[8,4,2,1,6,7,3,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [8,2,4,3,1,6,7,5]=>[1,7,5,6,8,3,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,6,4,2,1,7,5]=>[1,6,3,5,7,8,2,4]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,2,3,7,8,4,6,1]=>[4,7,6,2,1,5,3,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,7,6,2,5,4,8]=>[6,8,2,3,7,4,5,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,7,6,2,5,3,4]=>[1,8,2,3,7,4,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,2,1,3,7,8,4]=>[4,3,7,8,6,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,6,2,8,7,3,5,1]=>[5,3,7,1,2,6,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,7,8,3,4,6,5,2]=>[8,2,1,6,5,3,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,8,6,1,4,5,3]=>[7,2,1,3,8,5,4,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,5,6,8,4,7,3,1]=>[7,4,3,1,5,2,6,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,3,6,1,2,5,8,4]=>[2,6,3,8,7,4,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,6,5,1,2,7,8,4]=>[6,3,4,8,7,2,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,3,8,6,7,2,5]=>[5,8,6,1,3,2,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,1,7,6,3,5,8]=>[7,5,8,2,3,6,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,7,5,6,1,2,3]=>[1,5,2,4,3,8,7,6]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,6,3,4,7,1,2]=>[4,1,3,6,5,2,8,7]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,7,4,6,1,2,8,3]=>[4,2,5,3,8,7,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,7,6,1,3,8,2]=>[4,5,2,3,8,6,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,4,7,1,6,3,8,2]=>[4,5,2,8,3,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,4,5,1,6,2,3,8]=>[2,5,4,8,3,7,6,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,5,2,1,6,4,8,7]=>[6,4,7,8,3,5,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,5,4,7,1,3,6]=>[1,7,4,5,2,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,2,6,8,1,4,5,3]=>[2,7,3,1,8,5,4,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,4,7,5,3,2,6]=>[1,8,5,2,4,6,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,7,3,2,6,1,5,8]=>[5,2,6,7,3,8,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,4,8,3,1,6,5]=>[2,7,5,1,6,8,3,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,7,4,6,2,3,8]=>[8,4,2,5,3,7,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,3,5,4,6,1,7]=>[1,7,6,4,5,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,7,4,6,1,5,8]=>[7,6,2,5,3,8,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,6,3,5,7,2,8]=>[8,5,3,6,4,2,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,5,4,8,7,3,1,6]=>[7,4,5,1,2,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,4,3,8,2,6,5]=>[8,2,5,6,1,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [7,4,6,1,5,8,3,2]=>[2,5,3,8,4,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,5,8,4,3,7,2]=>[8,3,4,1,5,6,2,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,1,6,4,7,8,3]=>[7,4,8,3,5,2,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,4,1,5,7,8,6,3]=>[7,5,8,4,2,1,3,6]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,1,6,8,5,3,2,7]=>[5,8,3,1,4,6,7,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,8,7,4,1,2,5,3]=>[3,1,2,5,8,7,4,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,3,8,6,5,1,7,2]=>[5,6,1,3,4,8,2,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,4,5,8,6,3,7,1]=>[7,5,4,1,3,6,2,8]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,3,7,8,5,6,1,2]=>[5,6,2,1,4,3,8,7]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,6,4,8,1,7,2]=>[4,6,3,5,1,8,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,8,4,6,3,1,5]=>[2,7,1,5,3,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,7,2,4,5,1,6]=>[1,6,2,7,5,4,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,6,4,1,2,5,8]=>[6,2,3,5,8,7,4,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,5,7,3,4,6,2,8]=>[8,4,2,6,5,3,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,4,7,5,3,1,2,6]=>[1,5,2,4,6,8,7,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,8,4,6,2,3,7,1]=>[4,1,5,3,7,6,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,7,8,2,3,5,1,6]=>[5,2,1,7,6,4,8,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,5,2,4,1,3,7]=>[3,1,4,7,5,8,6,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [7,2,6,1,5,4,8,3]=>[2,7,3,8,4,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,3,6,2,1,5,8,4]=>[2,6,3,7,8,4,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [7,2,6,5,1,8,4,3]=>[2,7,3,4,8,1,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,2,4,1,8,7,3,6]=>[4,7,5,8,1,2,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,1,7,4,6,8,3]=>[7,4,8,2,5,3,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,5,7,2,3,4,1]=>[3,1,4,2,7,6,5,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,5,7,8,1,6,2]=>[5,6,4,2,1,8,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,5,8,2,7,1,6,3]=>[5,4,1,7,2,8,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,5,8,2,4,6]=>[8,2,6,4,1,7,5,3]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,8,7,1,2,5,3]=>[5,3,1,2,8,7,4,6]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,7,8,6,1,2,5,4]=>[6,2,1,3,8,7,4,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,8,2,3,6,1]=>[4,2,5,1,7,6,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,7,6,8,4,5,2]=>[6,8,2,3,1,5,4,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,3,7,6,8,4,5,1]=>[7,6,2,3,1,5,4,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,5,7,1,3,6,4,2]=>[1,4,2,8,6,3,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,3,5,1,4,6,8,2]=>[2,6,4,8,5,3,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,5,7,1,8,4,2,3]=>[3,4,2,8,1,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,6,4,2,1,5,8]=>[2,6,3,5,7,8,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,2,3,7,1,5,8,4]=>[3,7,6,2,8,4,1,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,8,3,2,7,4,5,1]=>[3,1,6,7,2,5,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,4,7,6,2,8]=>[4,8,6,5,2,3,7,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,6,2,1,5,8]=>[5,2,6,3,7,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,8,6,1,3,7,4,2]=>[4,1,3,8,6,2,5,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,4,5,8,6,3,1]=>[7,2,5,4,1,3,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [6,1,5,2,4,7,3,8]=>[3,8,4,7,5,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,3,8,6,4,7,1,2]=>[4,6,1,3,5,2,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,7,3,4,5,8,6,2]=>[8,2,6,5,4,1,3,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [6,1,4,5,7,8,3,2]=>[3,8,5,4,2,1,6,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,6,4,8,5,1,3,7]=>[7,3,5,1,4,8,6,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,6,5,1,4,7,8]=>[7,6,3,4,8,5,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [2,6,5,3,7,1,4,8]=>[7,3,4,6,2,8,5,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [8,3,5,2,6,4,7,1]=>[1,6,4,7,3,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,3,8,6,7,4,2,5]=>[8,6,1,3,2,5,7,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,6,2,1,8,4,5,7]=>[6,3,7,8,1,5,4,2]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,7,4,2,8,6]=>[4,8,6,2,5,7,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,7,4,6,8,5,1]=>[6,7,2,5,3,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,3,7,1,8,2,6,5]=>[5,6,2,8,1,7,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,7,5,4,3,1,8,6]=>[7,2,4,5,6,8,1,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,3,7,4,2,5,1,6]=>[1,6,2,5,7,4,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,6,7,1,2,5,4]=>[1,6,3,2,8,7,4,5]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,8,7,3,6,4,1,5]=>[7,1,2,6,3,5,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,6,8,7,2,4]=>[4,8,6,3,1,2,7,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,1,4,7,8,2]=>[4,3,6,8,5,2,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,7,2,1,5,4,3,8]=>[3,2,7,8,4,5,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,7,3,4,1,6,8]=>[4,7,2,6,5,8,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,4,5,1,2,7,6]=>[1,6,5,4,8,7,2,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,6,8,5,3,7,4,1]=>[7,3,1,4,6,2,5,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,7,3,4,6,8,5,1]=>[7,2,6,5,3,1,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [4,5,3,7,2,6,8,1]=>[5,4,6,2,7,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,4,7,5,1,2,6,8]=>[6,5,2,4,8,7,3,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,3,8,7,2,6,5,4]=>[8,6,1,2,7,3,4,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,3,7,4,2,6,5,8]=>[8,6,2,5,7,3,4,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,1,6,2,4,8,5,3]=>[2,8,3,7,5,1,4,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,4,5,7,3,2,8]=>[3,8,5,4,2,6,7,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,7,5,8,4,2,6]=>[8,6,2,4,1,5,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,4,7,1,5,6,3]=>[7,1,5,2,8,4,3,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,7,8,1,4,3,5,6]=>[7,2,1,8,5,6,4,3]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,8,3,5,7,2,1,4]=>[3,1,6,4,2,7,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,3,8,4,5,1,6]=>[2,7,6,1,5,4,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,2,8,7,3,1,5,4]=>[3,7,1,2,6,8,4,5]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,4,6,2,8,1,3,7]=>[4,5,3,7,1,8,6,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,7,1,4,8,5,3]=>[7,3,2,8,5,1,4,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,4,7,5,6,1,8,3]=>[7,5,2,4,3,8,1,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,7,1,6,4,2,5]=>[6,1,2,8,3,5,7,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,6,3,2,8,1,7]=>[4,5,3,6,7,1,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,3,2,4,8,1,7]=>[4,3,6,7,5,1,8,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,3,8,4,5,6,2,7]=>[8,6,1,5,4,3,7,2]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,3,8,6,2,7,5]=>[8,5,6,1,3,7,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,5,1,4,3,6,8]=>[7,2,4,8,5,6,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,3,8,4,6,2,1,7]=>[4,6,1,5,3,7,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,4,6,5,1,3,8]=>[2,7,5,3,4,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,4,2,8,7,5,6,1]=>[6,5,7,1,2,4,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,6,5,1,3,7,8]=>[7,5,3,4,8,6,2,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,5,8,6,4,3,1,2]=>[2,4,1,3,5,6,8,7]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [5,8,1,7,6,3,2,4]=>[4,1,8,2,3,6,7,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,6,8,3,5,7,4,2]=>[8,3,1,6,4,2,5,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [7,8,2,1,6,4,3,5]=>[2,1,7,8,3,5,6,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,3,8,2,7,5,4,1]=>[3,6,1,7,2,4,5,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,7,5,3,4,2,6,8]=>[8,2,4,6,5,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,7,5,3,4,2,8,6]=>[8,2,4,6,5,7,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,5,3,4,6,2,8]=>[8,2,4,6,5,3,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,7,5,3,6,4,2,8]=>[8,2,4,6,3,5,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,7,8,5,3,2,4,6]=>[8,2,1,4,6,7,5,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,8,1,4,7,2,3]=>[4,3,1,8,5,2,7,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,4,8,6,5,3,2,7]=>[8,5,1,3,4,6,7,2]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,5,8,4,6,3,2,7]=>[8,4,1,5,3,6,7,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,5,3,4,7,2,8]=>[3,8,4,6,5,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,8,4,6,7,3,2,5]=>[8,1,5,3,2,6,7,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,2,7,4,6,3,5,8]=>[8,7,2,5,3,6,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,2,7,1,5,6,4,3]=>[1,7,2,8,4,3,5,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,5,3,7,4,6,1]=>[1,7,4,6,2,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,5,2,3,1,8,6]=>[5,2,4,7,6,8,1,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,8,1,5,7,6,2,3]=>[5,1,8,4,2,3,7,6]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,5,8,7,1,3,4]=>[7,3,4,1,2,8,6,5]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,6,8,2,7,4,1]=>[6,4,3,1,7,2,5,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,6,8,1,7,3,2]=>[5,4,3,1,8,2,6,7]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [3,4,7,6,8,5,1,2]=>[6,5,2,3,1,4,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,7,1,8,2,4,3]=>[4,3,2,8,1,7,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,8,2,7,5,4,1]=>[6,3,1,7,2,4,5,8]=>[1,1,2,4]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [3,1,6,7,5,4,2,8]=>[6,8,3,2,4,5,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,6,2,5,3,7,8,1]=>[5,3,7,4,6,2,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,8,2,1,3,5,4]=>[3,2,1,7,8,6,4,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,1,6,4,7,3,5,8]=>[7,8,3,5,2,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,5,3,4,6,2,8]=>[2,8,4,6,5,3,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,4,8,1,2,6,3,7]=>[4,5,1,8,7,3,6,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,4,3,1,2,7,6]=>[4,1,5,6,8,7,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,8,1,3,5,4,2,7]=>[3,1,8,6,4,5,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,7,5,2,8,3,4,1]=>[3,2,4,7,1,6,5,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,6,7,4,2,5,1]=>[1,6,3,2,5,7,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,5,4,3,8,6,7]=>[7,8,4,5,6,1,3,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,6,1,5,4,2,7]=>[6,1,3,8,4,5,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,4,1,5,3,2,7]=>[3,1,5,8,4,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,6,4,1,7,8,3,2]=>[4,3,5,8,2,1,6,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,1,6,4,7,3,5]=>[7,1,8,3,5,2,6,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,6,2,4,3,7,8]=>[8,4,3,7,5,6,2,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,4,2,8,6,3,7,5]=>[8,5,7,1,3,6,2,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,8,7,5,3,6,1]=>[7,5,1,2,4,6,3,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,7,4,6,1,8,2,5]=>[6,2,5,3,8,1,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,7,3,6,8,1,4,5]=>[7,2,6,3,1,8,5,4]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,2,3,8,5,1,4]=>[3,2,7,6,1,4,8,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,1,2,8,6,3,7]=>[5,4,8,7,1,3,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,2,7,3,6,8,1]=>[5,4,7,2,6,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,7,2,3,5,1,6]=>[5,1,2,7,6,4,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,7,2,1,4,3,8]=>[4,3,2,7,8,5,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,1,6,5,3,4,2,7]=>[1,8,3,4,6,5,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,8,4,5,2,6,3,1]=>[2,1,5,4,7,3,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,5,3,7,1,6,4]=>[7,1,4,6,2,8,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,2,6,1,8,5,7,4]=>[6,7,3,8,1,4,2,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,2,6,1,4,5,8,3]=>[2,7,3,8,5,4,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [8,2,4,3,5,7,1,6]=>[1,7,5,6,4,2,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,1,8,4,3,6,7,5]=>[7,8,1,5,6,3,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,1,8,4,7,5,3,6]=>[7,8,1,5,2,4,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,2,7,4,6,8,3]=>[4,8,7,2,5,3,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,1,2,5,7,3,4,8]=>[3,8,7,4,2,6,5,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,1,2,6,7,4,3,8]=>[4,8,7,3,2,5,6,1]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,1,7,5,2,8]=>[6,3,5,8,2,4,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,7,2,6,4,8,5,1]=>[6,2,7,3,5,1,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,8,2,3,6,5,4,1]=>[2,1,7,6,3,4,5,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [7,2,8,6,3,5,4,1]=>[2,7,1,3,6,4,5,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,7,5,2,4,3,6]=>[8,1,2,4,7,5,6,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,5,2,6,4,8,3]=>[2,8,4,7,3,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,5,4,8,3,7,2]=>[3,8,4,5,1,6,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,3,6,4,2,5,1,7]=>[1,6,3,5,7,4,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,4,2,6,5,1,7]=>[1,6,5,7,3,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,4,6,8,7,2,3,1]=>[4,5,3,1,2,7,6,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,6,8,7,1,3,2]=>[5,4,3,1,2,8,6,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [7,2,6,8,1,5,3,4]=>[2,7,3,1,8,4,6,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,2,3,6,5,8]=>[2,8,5,7,6,3,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,7,2,1,6,8,5,3]=>[5,2,7,8,3,1,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,4,1,5,6,3,8]=>[7,2,5,8,4,3,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,7,8,3,4,1,6]=>[4,7,2,1,6,5,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,4,5,3,1,8,2,7]=>[3,5,4,6,8,1,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,7,6,3,1,2,8]=>[5,4,2,3,6,8,7,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,6,2,8,1,7,5,4]=>[6,3,7,1,8,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,7,4,3,5,1,8]=>[7,3,2,5,6,4,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,2,6,1,3,7,5,4]=>[1,7,3,8,6,2,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,7,5,6,4,3,1,8]=>[7,2,4,3,5,6,8,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,7,4,6,2,5,1,8]=>[6,2,5,3,7,4,8,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,5,1,7,4,3,6]=>[1,7,4,8,2,5,6,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,8,7,4,5,6,1,3]=>[7,1,2,5,4,3,8,6]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,7,2,8,4,3,5,1]=>[3,2,7,1,5,6,4,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,2,7,5,4,8]=>[6,8,3,7,2,4,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,2,8,6,3,5,4,7]=>[8,7,1,3,6,4,5,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,4,3,7,6,1,5,8]=>[7,5,6,2,3,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,2,8,7,3,4,6]=>[4,8,7,1,2,6,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,3,4,8,2,5,7]=>[8,3,6,5,1,7,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,8,1,4,6,7,3,2]=>[4,1,8,5,3,2,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,3,6,4,1,5,8,2]=>[2,6,3,5,8,4,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,6,1,7,8,4,5,3]=>[7,3,8,2,1,5,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,1,8,4,6,5]=>[7,6,2,8,1,5,3,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [3,1,5,7,4,6,2,8]=>[6,8,4,2,5,3,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,8,3,6,7,4]=>[7,4,8,1,6,3,2,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [2,3,7,1,4,6,5,8]=>[7,6,2,8,5,3,4,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,4,7,5,1,3,6]=>[7,1,5,2,4,8,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,7,6,4,3,5,1,8]=>[7,2,3,5,6,4,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,6,4,3,1,8,5]=>[7,2,3,5,6,8,1,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,1,8,6,2,3,7,4]=>[4,8,1,3,7,6,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,7,5,8,4,6,2]=>[6,8,2,4,1,5,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,7,1,2,3,6,5,8]=>[5,2,8,7,6,3,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,1,5,6,3,7,2,8]=>[5,8,4,3,6,2,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,4,1,6,8,2,7]=>[6,4,5,8,3,1,7,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,3,6,5,8,4,1,2]=>[2,6,3,4,1,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,2,6,5,8,1,4,3]=>[2,7,3,4,1,8,5,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,4,6,3,2,5,8]=>[8,2,5,3,6,7,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,6,2,7,3,5,8,4]=>[8,3,7,2,6,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,7,4,3,2,6,8]=>[8,4,2,5,6,7,3,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,6,8,4,2,3,7,1]=>[4,3,1,5,7,6,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [5,2,3,6,8,7,1,4]=>[4,7,6,3,1,2,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,2,1,7,4,6]=>[6,1,4,7,8,2,5,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [8,1,4,7,6,3,5,2]=>[1,8,5,2,3,6,4,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,5,7,4,2,3,6,1]=>[1,4,2,5,7,6,3,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,7,6,3,2,8,5,4]=>[8,2,3,6,7,1,4,5]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,7,6,1,3,8,2,5]=>[5,2,3,8,6,1,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,8,4,1,2,5,6]=>[6,2,1,5,8,7,4,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,6,4,5,7,8,1,2]=>[6,3,5,4,2,1,8,7]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [8,2,3,4,6,5,1,7]=>[1,7,6,5,3,4,8,2]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,3,7,6,4,1,5]=>[1,7,6,2,3,5,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,7,2,3,4,8,1,6]=>[4,2,7,6,5,1,8,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,5,8,1,6,4]=>[6,2,7,4,1,8,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,1,8,4,2,5,7,6]=>[6,8,1,5,7,4,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,2,4,7,1,6,3]=>[4,1,7,5,2,8,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,7,1,6,5,4,2,8]=>[6,2,8,3,4,5,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,4,7,1,6,3,8]=>[7,4,5,2,8,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,1,8,4,2,6,5]=>[6,2,8,1,5,7,3,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,8,6,7,2,1,3]=>[5,4,1,3,2,7,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [8,1,5,3,2,7,6,4]=>[1,8,4,6,7,2,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,7,3,6,8,5,1,2]=>[5,2,6,3,1,4,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,3,6,1,7,4,5]=>[1,7,6,3,8,2,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,7,1,5,2,4,6]=>[6,1,2,8,4,7,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [4,7,1,6,3,8,5,2]=>[5,2,8,3,6,1,4,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,8,7,4,1,5,3]=>[7,3,1,2,5,8,4,6]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,5,1,6,8,7,4,2]=>[6,4,8,3,1,2,5,7]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,5,2,4,1,6,8,7]=>[6,4,7,5,8,3,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,3,8,1,7,6,2,5]=>[5,6,1,8,2,3,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,7,2,1,3,5,8,4]=>[3,2,7,8,6,4,1,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,2,5,8,4,1,6]=>[6,2,7,4,1,5,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,6,3,1,8,5,2,7]=>[5,3,6,8,1,4,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,3,1,6,4,7,8]=>[4,7,6,8,3,5,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,4,6,2,1,8,7]=>[4,6,5,3,7,8,1,2]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,4,5,2,3,7,8]=>[3,8,5,4,7,6,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,5,4,2,3,7,8]=>[3,8,4,5,7,6,2,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [6,1,5,4,3,2,7,8]=>[3,8,4,5,6,7,2,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,7,6,4,5,2,1,8]=>[6,2,3,5,4,7,8,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,2,4,6,3,1,5,8]=>[2,7,5,3,6,8,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,7,5,1,4,6,2]=>[6,1,2,4,8,5,3,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,8,6,3,2,5,7,1]=>[5,1,3,6,7,4,2,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,5,8,7,3,4,1,6]=>[7,4,1,2,6,5,8,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,3,1,2,7,5,6]=>[5,1,6,8,7,2,4,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,7,3,1,2,5,8]=>[5,3,2,6,8,7,4,1]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [3,5,2,6,4,1,7,8]=>[6,4,7,3,5,8,2,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,7,4,2,5,6,3,8]=>[8,2,5,7,4,3,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,3,4,6,7,5,2,1]=>[1,6,5,3,2,4,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,1,2,5,4,6,7,3]=>[1,8,7,4,5,3,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,5,3,1,4,6,7]=>[1,7,4,6,8,5,3,2]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [5,7,3,2,4,8,1,6]=>[4,2,6,7,5,1,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,4,5,7,6,3,1,2]=>[1,5,4,2,3,6,8,7]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,4,5,2,1,7,8,3]=>[3,5,4,7,8,2,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,8,6,7,2,3,5]=>[5,8,1,3,2,7,6,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,4,8,6,2,1,7,3]=>[4,5,1,3,7,8,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,1,8,6,7,4,3,5]=>[7,8,1,3,2,5,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,6,3,4,1,7,5,8]=>[7,3,6,5,8,2,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,5,1,4,6,3,7,8]=>[7,4,8,5,3,6,2,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [7,1,2,8,5,3,6,4]=>[2,8,7,1,4,6,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,8,5,2,4,1,7]=>[3,6,1,4,7,5,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,3,8,7,2,4,6]=>[8,4,6,1,2,7,5,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,6,5,2,3,1,7]=>[1,5,3,4,7,6,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,2,6,5,3,4,1,7]=>[1,7,3,4,6,5,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,5,3,6,7,4,2]=>[1,8,4,6,3,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,6,8,7,3,2,5,4]=>[8,3,1,2,6,7,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [5,7,2,1,8,6,4,3]=>[4,2,7,8,1,3,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,2,4,6,3,8,1,7]=>[4,7,5,3,6,1,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,5,6,4,1,2,7,3]=>[1,4,3,5,8,7,2,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,6,2,5,4,7,1]=>[1,6,3,7,4,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,4,7,1,8,5,2,6]=>[6,5,2,8,1,4,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,4,1,3,2,6,5]=>[2,1,5,8,6,7,3,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,1,6,5,7,4]=>[6,1,7,8,3,4,2,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,1,3,8,7,2,4,6]=>[4,8,6,1,2,7,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,7,6,1,4,3,8]=>[7,4,2,3,8,5,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,6,3,4,1,8,7,2]=>[4,3,6,5,8,1,2,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,1,6,7,4,3,5]=>[7,1,8,3,2,5,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,1,6,5,7,4,2,3]=>[1,8,3,4,2,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,1,8,2,3,7,4,6]=>[4,8,1,7,6,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,7,6,4,2,1,8,3]=>[4,2,3,5,7,8,1,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,2,3,1,7,8,6,4]=>[4,7,6,8,2,1,3,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,6,5,1,8,7,3,2]=>[5,3,4,8,1,2,6,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [4,1,7,5,6,3,8,2]=>[5,8,2,4,3,6,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,8,6,2,5,3,4]=>[8,2,1,3,7,4,6,5]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,4,6,2,1,5,8,3]=>[2,5,3,7,8,4,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,2,7,8,6,4,3,1]=>[4,7,2,1,3,5,6,8]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,6,8,1,7,2,4,3]=>[4,3,1,8,2,7,5,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,2,3,5,6,1,4,8]=>[2,7,6,4,3,8,5,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,5,1,3,7,2,8]=>[5,3,4,8,6,2,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,5,1,7,3,6,2]=>[5,1,4,8,2,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,6,5,7,2,8,3,1]=>[5,3,4,2,7,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,4,6,8,5,2,1]=>[2,6,5,3,1,4,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,3,7,8,4,6,5,1]=>[7,6,2,1,5,3,4,8]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [7,2,6,3,8,4,5,1]=>[2,7,3,6,1,5,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,8,7,4,5,3,6,1]=>[7,1,2,5,4,6,3,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,1,7,6,3,8]=>[4,7,5,8,2,3,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,3,4,2,1,7,5,8]=>[3,6,5,7,8,2,4,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,6,4,2,5,1,7]=>[6,1,3,5,7,4,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,1,5,7,6,4,8,2]=>[6,8,4,2,3,5,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,7,6,4,1,5,3,8]=>[7,2,3,5,8,4,6,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,2,4,7,1,8,3,5]=>[3,7,5,2,8,1,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,6,7,3,1,5,2,4]=>[1,3,2,6,8,4,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,8,3,7,4,1,2]=>[4,3,1,6,2,5,8,7]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,6,8,4,5,2,3]=>[2,8,3,1,5,4,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,7,8,1,2,6,4,5]=>[6,2,1,8,7,3,5,4]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,4,5,3,6,1,7]=>[1,7,5,4,6,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,3,8,2,4,7,5]=>[3,8,6,1,7,5,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,1,4,7,6,2,3,8]=>[4,8,5,2,3,7,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,3,5,6,1,8,7,4]=>[7,6,4,3,8,1,2,5]=>[1,1,1,2,3]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [4,5,6,2,8,1,3,7]=>[5,4,3,7,1,8,6,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [6,4,8,2,7,3,5,1]=>[3,5,1,7,2,6,4,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,3,6,2,5,8,4]=>[8,2,6,3,7,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,4,6,8,3,1,2]=>[4,2,5,3,1,6,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,4,8,7,5,6,2,3]=>[8,5,1,2,4,3,7,6]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,5,7,4,3,1,2]=>[3,1,4,2,5,6,8,7]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,4,7,6,1,5,3,8]=>[7,5,2,3,8,4,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,6,7,3,1,2,5,4]=>[1,3,2,6,8,7,4,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,8,2,7,4,1,5,6]=>[6,1,7,2,5,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,8,7,2,5,6,4,1]=>[6,1,2,7,4,3,5,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,7,3,5,2,1,4,8]=>[3,2,6,4,7,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,3,4,2,8,5,7,1]=>[3,6,5,7,1,4,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,2,7,6,1,3,5,8]=>[5,7,2,3,8,6,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [7,1,4,6,2,5,3,8]=>[2,8,5,3,7,4,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,6,3,2,5,7,1]=>[1,5,3,6,7,4,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,4,6,2,5,7,1]=>[1,6,5,3,7,4,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,2,4,5,7,3,6]=>[1,8,7,5,4,2,6,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [7,4,6,5,2,3,8,1]=>[2,5,3,4,7,6,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,8,6,3,1,4,7,2]=>[4,1,3,6,8,5,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [5,7,4,6,2,1,3,8]=>[4,2,5,3,7,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,7,5,4,6,1,2]=>[1,6,2,4,5,3,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,7,1,4,6,2,3]=>[1,4,2,8,5,3,7,6]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,1,2,5,3,4,8,7]=>[3,8,7,4,6,5,1,2]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,5,7,3,1,6,4]=>[1,7,4,2,6,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,7,6,3,1,5,8]=>[7,5,2,3,6,8,4,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,3,5,8,7,4,6,2]=>[8,6,4,1,2,5,3,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,1,8,7,3,5,6,4]=>[7,8,1,2,6,4,3,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,1,5,6,8,7,4,2]=>[6,8,4,3,1,2,5,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [4,7,8,2,3,5,6,1]=>[5,2,1,7,6,4,3,8]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [6,2,5,7,8,3,4,1]=>[3,7,4,2,1,6,5,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,2,4,7,3,5,8,1]=>[3,7,5,2,6,4,1,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,2,6,4,5,8,1]=>[6,2,7,3,5,4,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,3,6,8,1,7,4]=>[4,7,6,3,1,8,2,5]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,2,3,7,5,1,8,6]=>[5,7,6,2,4,8,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,7,6,3,1,4,2,8]=>[4,2,3,6,8,5,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,8,4,6,2,5,3]=>[2,8,1,5,3,7,4,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,8,4,6,3,1,2,7]=>[4,1,5,3,6,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,1,4,6,3,2,7,5]=>[1,8,5,3,6,7,2,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,1,5,4,6,3,7]=>[7,1,8,4,5,3,6,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,7,2,4,8,1,3]=>[4,3,2,7,5,1,8,6]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,2,8,7,4,3,6,1]=>[4,7,1,2,5,6,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [1,7,4,6,5,2,8,3]=>[8,2,5,3,4,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,8,6,4,7,3,2]=>[8,4,1,3,5,2,6,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,4,7,5,3,2,6,1]=>[1,5,2,4,6,7,3,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,3,6,4,8,1,7,5]=>[7,6,3,5,1,8,2,4]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,3,7,6,4,8,1,5]=>[7,6,2,3,5,1,8,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [5,4,8,7,3,1,6,2]=>[4,5,1,2,6,8,3,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,1,3,2,4,8,5,7]=>[3,8,6,7,5,1,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,5,8,7,1,6,2]=>[6,5,4,1,2,8,3,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,7,2,6,8,4,3,5]=>[8,2,7,3,1,5,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,7,1,3,2,6,4]=>[4,1,2,8,6,7,3,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,4,7,1,6,2]=>[6,1,4,5,2,8,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,4,7,5,1,2,8,6]=>[6,5,2,4,8,7,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,8,1,7,5,2,6]=>[6,5,1,8,2,4,7,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,6,5,3,1,2,8]=>[2,5,3,4,6,8,7,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,4,8,6,1,2,7,5]=>[6,5,1,3,8,7,2,4]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,8,2,5,4,3,7,6]=>[8,1,7,4,5,6,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,5,6,4,8,2,1]=>[2,6,4,3,5,1,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,8,5,3,7,6,2,1]=>[5,1,4,6,2,3,7,8]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,8,6,7,3,5,4,1]=>[7,1,3,2,6,4,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,5,2,6,8,4,1]=>[2,6,4,7,3,1,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,1,5,6,8,3,2]=>[5,2,8,4,3,1,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,3,5,6,7,4,2,1]=>[1,6,4,3,2,5,7,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [3,4,8,1,2,7,5,6]=>[6,5,1,8,7,2,4,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,5,2,4,3,1,6]=>[2,1,4,7,5,6,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,7,1,2,4,3,6,8]=>[4,2,8,7,5,6,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,2,5,8,1,7,3]=>[5,3,7,4,1,8,2,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,8,5,2,1,6,3,7]=>[5,1,4,7,8,3,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [3,5,4,6,7,1,2,8]=>[6,4,5,3,2,8,7,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,4,6,8,1,7,3,2]=>[4,5,3,1,8,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,7,8,5,1,3,6]=>[5,7,2,1,4,8,6,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,1,7,4,3,5,6,8]=>[7,8,2,5,6,4,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,3,5,6,7,2,4,1]=>[1,6,4,3,2,7,5,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [8,1,3,6,4,5,7,2]=>[1,8,6,3,5,4,2,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,5,7,4,2,1,8]=>[3,6,4,2,5,7,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,1,4,3,7,6,2,5]=>[1,8,5,6,2,3,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,2,3,7,8,1,5,6]=>[5,7,6,2,1,8,4,3]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [2,8,7,3,1,5,6,4]=>[7,1,2,6,8,4,3,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,2,3,7,8,6,5,1]=>[5,7,6,2,1,3,4,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [2,4,3,1,7,5,6,8]=>[7,5,6,8,2,4,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,7,5,2,4,6,1]=>[6,1,2,4,7,5,3,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,3,5,4,1,2,8,6]=>[2,6,4,5,8,7,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,6,4,3,1,5,8]=>[7,2,3,5,6,8,4,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [4,1,6,5,7,8,3,2]=>[5,8,3,4,2,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,1,7,2,4,5,3,8]=>[3,8,2,7,5,4,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,6,4,2,5,1,8]=>[6,2,3,5,7,4,8,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,6,8,2,5,4,3,7]=>[8,3,1,7,4,5,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,8,1,7,3,2,6]=>[4,5,1,8,2,6,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,7,1,8,3,4,2,6]=>[4,2,8,1,6,5,7,3]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,3,4,6,2,5,8]=>[8,2,6,5,3,7,4,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [5,2,8,1,3,6,4,7]=>[4,7,1,8,6,3,5,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,1,4,3,5,6,8]=>[7,2,8,5,6,4,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,4,3,7,2,5,8]=>[3,8,5,6,2,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,7,4,2,3,6,1]=>[4,1,2,5,7,6,3,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,1,3,4,7,6,5,2]=>[1,8,6,5,2,3,4,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,2,3,1,5,7,4,6]=>[1,7,6,8,4,2,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [6,3,5,2,8,4,1,7]=>[3,6,4,7,1,5,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,3,7,5,1,4,6]=>[1,7,6,2,4,8,5,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,6,3,8,1,4,5]=>[2,7,3,6,1,8,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,8,5,2,1,6,3,4]=>[2,1,4,7,8,3,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,8,1,5,7,2,4,3]=>[3,1,8,4,2,7,5,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,2,5,7,4,3,1]=>[3,1,7,4,2,5,6,8]=>[1,2,1,4]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,2,7,3,5,4,6,1]=>[1,7,2,6,4,5,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [2,4,6,5,1,7,3,8]=>[7,5,3,4,8,2,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,2,4,3,8,1,6,5]=>[2,7,5,6,1,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,3,2,4,7,5,8]=>[3,8,6,7,5,2,4,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,4,7,3,5,1,6]=>[1,7,5,2,6,4,8,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,5,6,2,7,4,3,8]=>[8,4,3,7,2,5,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,2,8,5,4,3,7,6]=>[8,7,1,4,5,6,2,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [7,8,6,2,5,4,1,3]=>[2,1,3,7,4,5,8,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,4,5,7,6,1,2,8]=>[6,5,4,2,3,8,7,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,5,4,2,6,7,8,3]=>[8,4,5,7,3,2,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,7,4,3,5,8,6,2]=>[8,2,5,6,4,1,3,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [5,2,7,6,4,1,3,8]=>[4,7,2,3,5,8,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [7,1,4,2,8,3,5,6]=>[2,8,5,7,1,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,3,6,4,8,2,7]=>[4,8,6,3,5,1,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,3,8,7,6,1,5]=>[5,7,6,1,2,3,8,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,2,3,7,1,6,8,5]=>[5,7,6,2,8,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,5,8,7,3,6,2]=>[5,8,4,1,2,6,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,3,8,7,6,2,5]=>[5,8,6,1,2,3,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [7,1,4,3,6,5,2,8]=>[2,8,5,6,3,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,8,3,1,6,4,7]=>[4,7,1,6,8,3,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,2,1,4,6,3,8]=>[4,2,7,8,5,3,6,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,1,3,5,8,6,4]=>[7,2,8,6,4,1,3,5]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,2,5,6,3,1,4,8]=>[2,7,4,3,6,8,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,8,6,2,5,7,4]=>[8,6,1,3,7,4,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,8,6,5,4,2,7,3]=>[8,1,3,4,5,7,2,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,5,7,4,2,1,8,3]=>[3,4,2,5,7,8,1,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,4,5,7,8,6,1,3]=>[7,5,4,2,1,3,8,6]=>[1,1,1,1,3,1]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [4,5,8,6,3,1,2,7]=>[5,4,1,3,6,8,7,2]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [3,6,5,1,2,8,7,4]=>[6,3,4,8,7,1,2,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [2,7,4,5,1,6,3,8]=>[7,2,5,4,8,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,6,3,2,7,4,1]=>[4,1,3,6,7,2,5,8]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [3,4,8,7,2,5,6,1]=>[6,5,1,2,7,4,3,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,3,6,5,1,4,2,7]=>[1,6,3,4,8,5,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,8,7,3,4,2,1,6]=>[4,1,2,6,5,7,8,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,5,8,7,4,2,1,6]=>[6,4,1,2,5,7,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [3,1,6,5,4,7,8,2]=>[6,8,3,4,5,2,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,4,8,5,7,3,2,1]=>[3,5,1,4,2,6,7,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [6,7,3,2,1,5,4,8]=>[3,2,6,7,8,4,5,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [6,1,4,2,5,7,3,8]=>[3,8,5,7,4,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,1,3,4,7,6,2,5]=>[1,8,6,5,2,3,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,5,8,2,7,1]=>[6,3,5,4,1,7,2,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,5,1,6,8,7,3,4]=>[7,4,8,3,1,2,6,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,2,3,4,1,7,6]=>[4,1,7,6,5,8,2,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,3,8,6,7,1,2,4]=>[4,6,1,3,2,8,7,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,7,1,2,3,6,8,5]=>[5,2,8,7,6,3,1,4]=>[1,2,1,1,1,2]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [8,6,7,2,1,5,4,3]=>[1,3,2,7,8,4,5,6]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,3,5,7,4,1,6,8]=>[7,6,4,2,5,8,3,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [4,2,3,7,1,6,5,8]=>[5,7,6,2,8,3,4,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,5,2,1,7,6,4,8]=>[6,4,7,8,2,3,5,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,3,7,6,1,4,8]=>[7,4,6,2,3,8,5,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,3,5,6,2,7,4,1]=>[1,6,4,3,7,2,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,3,5,8,2,6,4,1]=>[2,6,4,1,7,3,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,7,1,4,3,8,2]=>[4,3,2,8,5,6,1,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,2,3,6,1,5,4,7]=>[1,7,6,3,8,4,5,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,7,8,4,5,2,6,3]=>[8,2,1,5,4,7,3,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,3,7,4,2,5,1,8]=>[3,6,2,5,7,4,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,6,4,2,7,8,1]=>[4,6,3,5,7,2,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,1,7,6,5,3,8,2]=>[5,8,2,3,4,6,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,1,2,6,8,3,4,5]=>[2,8,7,3,1,6,5,4]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,2,8,4,5,1,6,7]=>[6,7,1,5,4,8,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,3,4,2,8,1,7,5]=>[3,6,5,7,1,8,2,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,5,4,1,7,6,8,2]=>[6,4,5,8,2,3,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,2,8,5,7,4,3]=>[3,8,7,1,4,2,5,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,7,2,5,4,8,3]=>[3,8,2,7,4,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,7,2,5,4,3,8]=>[3,8,2,7,4,5,6,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,3,7,1,2,6,5,4]=>[1,6,2,8,7,3,4,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,7,8,6,1,2,3,5]=>[5,2,1,3,8,7,6,4]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [6,3,4,7,5,2,1,8]=>[3,6,5,2,4,7,8,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,6,1,8,4,7,3,2]=>[4,3,8,1,5,2,6,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,5,1,6,3,2,8]=>[5,2,4,8,3,6,7,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,7,1,6,5,4,8]=>[6,7,2,8,3,4,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,1,2,7,4,3,8]=>[4,3,8,7,2,5,6,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,8,4,5,2,1,7,6]=>[6,1,5,4,7,8,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,4,7,1,2,8,5]=>[3,6,5,2,8,7,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,1,6,2,8,7,3,5]=>[5,8,3,7,1,2,6,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,2,3,6,1,7,5,4]=>[1,7,6,3,8,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,6,2,1,7,4,8,3]=>[4,3,7,8,2,5,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,3,4,7,5,2,6,1]=>[1,6,5,2,4,7,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,1,2,7,5,3,6,4]=>[1,8,7,2,4,6,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,1,6,2,5,4,8,3]=>[2,8,3,7,4,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [5,6,1,4,8,2,3,7]=>[4,3,8,5,1,7,6,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,6,8,7,5,1,3,2]=>[5,3,1,2,4,8,6,7]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,8,4,3,5,7,2,6]=>[8,1,5,6,4,2,7,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,8,6,1,2,4,7,5]=>[6,1,3,8,7,5,2,4]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,7,6,2,3,1,8,4]=>[4,2,3,7,6,8,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,8,5,3,6,4,7]=>[7,8,1,4,6,3,5,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,5,1,8,2,4,3]=>[3,2,4,8,1,7,5,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,8,6,7,4,3,1]=>[4,7,1,3,2,5,6,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [7,3,4,5,1,8,2,6]=>[2,6,5,4,8,1,7,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,4,3,5,8,6,2]=>[2,8,5,6,4,1,3,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [4,2,6,5,3,7,1,8]=>[5,7,3,4,6,2,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,6,7,3,1,5,4]=>[7,1,3,2,6,8,4,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,2,6,1,7,5,4]=>[6,1,7,3,8,2,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,7,8,5,6,2]=>[6,8,5,2,1,4,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,7,1,4,2,5,8,3]=>[3,2,8,5,7,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,8,2,6,5,7,4,3]=>[8,1,7,3,4,2,5,6]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,1,2,5,4,7,3,6]=>[1,8,7,4,5,2,6,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,1,4,7,5,6,8,2]=>[6,8,5,2,4,3,1,7]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,1,6,2,4,3,5,8]=>[2,8,3,7,5,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,8,2,1,6,4,7,3]=>[4,1,7,8,3,5,2,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,3,5,7,4,1,8]=>[7,3,6,4,2,5,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,5,8,1,7,4,2,3]=>[3,4,1,8,2,5,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,4,6,2,1,3,5,8]=>[2,5,3,7,8,6,4,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [8,3,6,1,7,2,5,4]=>[1,6,3,8,2,7,4,5]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,7,1,4,5,2,3,8]=>[3,2,8,5,4,7,6,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,3,8,1,2,6,5,7]=>[5,6,1,8,7,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,8,1,2,6,4,5,3]=>[2,1,8,7,3,5,4,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,1,3,2,7,4,5]=>[3,1,8,6,7,2,5,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,3,4,8,1,7,6,2]=>[4,6,5,1,8,2,3,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,7,5,8,4,1,6]=>[7,6,2,4,1,5,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,1,4,8,6,3,5]=>[7,2,8,5,1,3,6,4]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,2,8,3,1,5,4,6]=>[2,7,1,6,8,4,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,7,5,2,6,1,3]=>[5,1,2,4,7,3,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,8,3,4,6,2,5,7]=>[8,1,6,5,3,7,4,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,8,6,5,1,2,7,4]=>[6,1,3,4,8,7,2,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,2,3,1,4,6,7,5]=>[1,7,6,8,5,3,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,2,8,4,7,3,6,1]=>[4,7,1,5,2,6,3,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,5,8,6,2,4,3,1]=>[2,4,1,3,7,5,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [4,6,8,5,2,3,7,1]=>[5,3,1,4,7,6,2,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,8,5,2,7,6,1]=>[6,5,1,4,7,2,3,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,6,8,7,3,4,2,1]=>[4,3,1,2,6,5,7,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [7,1,5,3,2,8,4,6]=>[2,8,4,6,7,1,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,1,4,8,5,7,3,2]=>[3,8,5,1,4,2,6,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,7,6,4,8,3,1]=>[4,7,2,3,5,1,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,8,3,5,2,4,7,6]=>[8,1,6,4,7,5,2,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,2,8,6,7,3,1,4]=>[4,7,1,3,2,6,8,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,1,4,7,8,6,5,2]=>[6,8,5,2,1,3,4,7]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [8,2,5,4,3,1,6,7]=>[1,7,4,5,6,8,3,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [6,5,7,1,4,8,3,2]=>[3,4,2,8,5,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [5,3,7,1,8,4,2,6]=>[4,6,2,8,1,5,7,3]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,5,1,7,4,2,6]=>[6,1,4,8,2,5,7,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,7,2,6,8,3,4]=>[8,4,2,7,3,1,6,5]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [5,6,4,1,3,2,8,7]=>[4,3,5,8,6,7,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,2,3,6,5,4,8]=>[8,2,7,6,3,4,5,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,7,6,2,5,4,3,8]=>[8,2,3,7,4,5,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,2,6,5,4,7,3]=>[8,1,7,3,4,5,2,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,8,2,5,3,6,7]=>[5,8,1,7,4,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,1,5,7,3,2,8,4]=>[3,8,4,2,6,7,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,4,2,3,6,1,5]=>[2,1,5,7,6,3,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,3,4,7,2,1,8,6]=>[4,6,5,2,7,8,1,3]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,5,3,1,8,4,6]=>[2,7,4,6,8,1,5,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,6,7,2,1,4,8]=>[6,4,3,2,7,8,5,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,4,7,6,8,2,5,3]=>[8,5,2,3,1,7,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,8,2,5,7,3,4]=>[3,8,1,7,4,2,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,8,3,6,2,7,4,1]=>[4,1,6,3,7,2,5,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,6,7,5,3,4,2,8]=>[8,3,2,4,6,5,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,5,8,3,7,4,1,6]=>[7,4,1,6,2,5,8,3]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,8,5,3,4,2,7]=>[8,3,1,4,6,5,7,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,8,6,3,2,5,1,7]=>[5,1,3,6,7,4,8,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [4,2,6,8,7,5,1,3]=>[5,7,3,1,2,4,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,3,4,6,1,2,7,5]=>[1,6,5,3,8,7,2,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,7,2,1,3,8,6]=>[5,4,2,7,8,6,1,3]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,2,4,3,7,1,5,8]=>[3,7,5,6,2,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,5,7,2,4,8,3,1]=>[3,4,2,7,5,1,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,1,2,4,8,3,6,5]=>[2,8,7,5,1,6,3,4]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,3,5,1,2,6,8,4]=>[2,6,4,8,7,3,1,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,7,8,2,5,3,6,1]=>[5,2,1,7,4,6,3,8]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,8,3,6,1,7]=>[4,7,5,1,6,3,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,2,6,7,3,4,1,8]=>[4,7,3,2,6,5,8,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,4,5,1,3,2,6,8]=>[2,5,4,8,6,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,2,4,5,8,3,6]=>[2,8,7,5,4,1,6,3]=>[2,1,1,1,2,1]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,7,6,1,8,3,5,4]=>[7,2,3,8,1,6,4,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,3,8,6,2,5,7,1]=>[5,6,1,3,7,4,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,8,6,4,3,7,5,2]=>[8,1,3,5,6,2,4,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,4,7,1,3,6,8,2]=>[4,5,2,8,6,3,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [6,4,7,1,3,2,5,8]=>[3,5,2,8,6,7,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,1,8,7,2,6,5,4]=>[6,8,1,2,7,3,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,2,6,5,3,4,7,1]=>[1,7,3,4,6,5,2,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,3,4,8,5,7,2,1]=>[3,6,5,1,4,2,7,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,7,3,1,2,8,6]=>[4,5,2,6,8,7,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [6,2,4,3,7,8,1,5]=>[3,7,5,6,2,1,8,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,5,8,6,3,4,1,7]=>[7,4,1,3,6,5,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [6,8,1,7,5,3,4,2]=>[3,1,8,2,4,6,5,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,8,6,4,1,7,3,2]=>[4,1,3,5,8,2,6,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [7,2,5,6,8,3,1,4]=>[2,7,4,3,1,6,8,5]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,2,7,5,1,4,3,6]=>[1,7,2,4,8,5,6,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,7,1,3,5,4,2,8]=>[3,2,8,6,4,5,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,3,7,6,4,2,8]=>[4,8,6,2,3,5,7,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,7,6,4,3,1,8]=>[4,7,2,3,5,6,8,1]=>[2,5,1]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,7,6,4,3,5,2,8]=>[8,2,3,5,6,4,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,3,5,1,6,8,7,4]=>[7,6,4,8,3,1,2,5]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,5,6,8,4,7,1,3]=>[7,4,3,1,5,2,8,6]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [2,8,3,7,6,5,1,4]=>[7,1,6,2,3,4,8,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [2,5,8,1,6,3,7,4]=>[7,4,1,8,3,6,2,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,8,6,1,3,5,2]=>[5,2,1,3,8,6,4,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [8,4,6,7,2,1,5,3]=>[1,5,3,2,7,8,4,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,8,5,3,7,6,2]=>[8,5,1,4,6,2,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,3,4,2,7,8,6,1]=>[4,6,5,7,2,1,3,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [7,8,6,5,3,1,4,2]=>[2,1,3,4,6,8,5,7]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [8,2,4,1,5,3,6,7]=>[1,7,5,8,4,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,2,8,1,6,5,4]=>[6,2,7,1,8,3,4,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,6,7,1,8,3,5,4]=>[7,3,2,8,1,6,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,2,3,1,7,4,6,8]=>[4,7,6,8,2,5,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,6,5,8,4,3,1,7]=>[7,3,4,1,5,6,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,4,6,2,1,7,8,3]=>[4,5,3,7,8,2,1,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,1,8,4,7,3,5,6]=>[7,8,1,5,2,6,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,8,7,3,2,4,6]=>[4,8,1,2,6,7,5,3]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,8,5,3,2,1,7,6]=>[5,1,4,6,7,8,2,3]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [5,8,3,4,7,2,6,1]=>[4,1,6,5,2,7,3,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,8,6,5,1,4,3,7]=>[7,1,3,4,8,5,6,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,1,7,4,6,3,5,8]=>[7,8,2,5,3,6,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [4,6,3,7,8,5,1,2]=>[5,3,6,2,1,4,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [3,6,4,5,7,8,2,1]=>[6,3,5,4,2,1,7,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [2,1,7,5,4,3,6,8]=>[7,8,2,4,5,6,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,6,8,7,3,2,5,1]=>[5,3,1,2,6,7,4,8]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,1,2,8,4,7,3,5]=>[3,8,7,1,5,2,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,4,6,7,8,3,2]=>[4,8,5,3,2,1,6,7]=>[2,1,1,1,3]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,8,2,7,6,5,3,4]=>[8,1,7,2,3,4,6,5]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,8,4,2,5,3,6]=>[8,2,1,5,7,4,6,3]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,8,7,5,4,3,6,1]=>[7,1,2,4,5,6,3,8]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,1,3,6,2,4,5,8]=>[2,8,6,3,7,5,4,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [6,1,2,7,5,3,4,8]=>[3,8,7,2,4,6,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,1,6,4,5,3,2,8]=>[2,8,3,5,4,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,6,1,8,3,4,2,7]=>[4,3,8,1,6,5,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,3,2,6,5,1,4]=>[2,1,6,7,3,4,8,5]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,2,3,1,6,5,8]=>[5,2,7,6,8,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,5,7,6,1,3,2,8]=>[5,4,2,3,8,6,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,1,7,4,6,5,8,2]=>[6,8,2,5,3,4,1,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,2,7,3,5,6,8,4]=>[8,7,2,6,4,3,1,5]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [7,8,2,1,6,4,5,3]=>[2,1,7,8,3,5,4,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,6,5,4,8,3,7,2]=>[8,3,4,5,1,6,2,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,5,8,6,1,3,7,4]=>[7,4,1,3,8,6,2,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,1,7,6,5,2,3,8]=>[5,8,2,3,4,7,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,5,6,1,3,4,7,2]=>[1,4,3,8,6,5,2,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,4,8,3,1,6,2,7]=>[4,5,1,6,8,3,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,3,8,2,1,6,7,4]=>[4,6,1,7,8,3,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,3,7,2,1,6,8,5]=>[5,6,2,7,8,3,1,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,4,8,5,6,3,7,2]=>[8,5,1,4,3,6,2,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,7,4,3,2,1,6,8]=>[4,2,5,6,7,8,3,1]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,7,8,3,2,6,4,5]=>[8,2,1,6,7,3,5,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,3,6,7,4,5,2,8]=>[8,6,3,2,5,4,7,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [3,8,6,4,1,2,7,5]=>[6,1,3,5,8,7,2,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,2,3,8,7,5,6,1]=>[5,7,6,1,2,4,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,8,7,1,3,6,2]=>[5,4,1,2,8,6,3,7]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [3,2,4,8,7,5,1,6]=>[6,7,5,1,2,4,8,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,4,1,7,3,6,8]=>[4,7,5,8,2,6,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,6,4,8,1,3,7,2]=>[4,3,5,1,8,6,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,4,1,5,2,6,8]=>[6,2,5,8,4,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [6,3,4,2,5,8,1,7]=>[3,6,5,7,4,1,8,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,1,8,3,2,7,4]=>[4,3,8,1,6,7,2,5]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,4,6,1,5,3,8]=>[2,7,5,3,8,4,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,3,6,8,5,4,1,7]=>[7,6,3,1,4,5,8,2]=>[1,1,1,4,1]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,6,4,5,2,3,8,7]=>[8,3,5,4,7,6,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,6,2,3,4,8,1]=>[4,2,3,7,6,5,1,8]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [6,2,4,7,8,5,1,3]=>[3,7,5,2,1,4,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,7,8,4,6,1,5,3]=>[7,2,1,5,3,8,4,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [7,8,6,2,4,3,1,5]=>[2,1,3,7,5,6,8,4]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,8,6,5,2,4,1,3]=>[2,1,3,4,7,5,8,6]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,3,4,5,1,6,2,8]=>[2,6,5,4,8,3,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,7,1,8,4,2,3,6]=>[4,2,8,1,5,7,6,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,3,7,2,4,6,8,5]=>[8,6,2,7,5,3,1,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,1,3,6,8,7,2,5]=>[5,8,6,3,1,2,7,4]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,4,8,7,1,3,5,2]=>[3,5,1,2,8,6,4,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,8,7,4,6,5,2,3]=>[8,1,2,5,3,4,7,6]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,8,6,7,3,4,1,5]=>[7,1,3,2,6,5,8,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,4,6,2,5,1,7]=>[6,1,5,3,7,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,2,5,7,4,6,3,1]=>[1,7,4,2,5,3,6,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,1,4,7,3,5,2,8]=>[3,8,5,2,6,4,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,6,8,3,5,2,4]=>[2,8,3,1,6,4,7,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,7,2,4,6,5,3]=>[8,1,2,7,5,3,4,6]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [8,1,6,5,4,7,3,2]=>[1,8,3,4,5,2,6,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [8,5,7,2,3,4,1,6]=>[1,4,2,7,6,5,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,5,7,2,3,4,6,1]=>[1,4,2,7,6,5,3,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [4,6,1,5,7,8,3,2]=>[5,3,8,4,2,1,6,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,3,4,8,6,2,1,7]=>[4,6,5,1,3,7,8,2]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,7,3,5,6,2,8]=>[5,8,2,6,4,3,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,6,3,7,1,5,8,4]=>[7,3,6,2,8,4,1,5]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,3,4,8,2,5,1,7]=>[3,6,5,1,7,4,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,1,7,5,4,2,3,8]=>[3,8,2,4,5,7,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,6,1,4,7,8,2,3]=>[4,3,8,5,2,1,7,6]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [6,8,2,5,4,3,7,1]=>[3,1,7,4,5,6,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,6,8,3,7,1,4]=>[7,4,3,1,6,2,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,7,5,4,1,3,8,2]=>[3,2,4,5,8,6,1,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [4,2,7,8,3,1,5,6]=>[5,7,2,1,6,8,4,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,6,2,8,7,3,1,5]=>[5,3,7,1,2,6,8,4]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,6,5,4,1,7,3]=>[1,7,3,4,5,8,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [3,4,8,2,6,5,1,7]=>[6,5,1,7,3,4,8,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,6,5,3,1,8,2]=>[2,5,3,4,6,8,1,7]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,1,8,3,5,7,4,2]=>[3,8,1,6,4,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,2,8,4,1,6,7,5]=>[6,7,1,5,8,3,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,3,7,2,1,6,4,5]=>[1,6,2,7,8,3,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,3,1,6,7,2,8]=>[5,4,6,8,3,2,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,8,2,7,3,1,5,6]=>[5,1,7,2,6,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,1,4,3,5,7,2,8]=>[3,8,5,6,4,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,5,7,6,4,1,2,8]=>[6,4,2,3,5,8,7,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [7,4,6,5,2,1,3,8]=>[2,5,3,4,7,8,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [4,8,5,6,1,3,2,7]=>[5,1,4,3,8,6,7,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,8,4,7,5,1,6,3]=>[7,1,5,2,4,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,6,7,2,4,3,1,5]=>[1,3,2,7,5,6,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,6,1,2,7,3,5]=>[5,1,3,8,7,2,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,6,8,1,2,3,7,5]=>[5,3,1,8,7,6,2,4]=>[1,1,2,1,1,2]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [4,5,3,8,7,1,6,2]=>[5,4,6,1,2,8,3,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,7,6,4,2,1,8,5]=>[6,2,3,5,7,8,1,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,7,8,5,2,3,6,4]=>[8,2,1,4,7,6,3,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [7,1,5,3,4,2,6,8]=>[2,8,4,6,5,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [6,1,7,5,2,4,3,8]=>[3,8,2,4,7,5,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,1,7,5,4,6,8,2]=>[6,8,2,4,5,3,1,7]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,6,7,3,2,5,1,4]=>[1,3,2,6,7,4,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,5,4,1,8,2,7]=>[3,6,4,5,8,1,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,1,3,7,2,5,4,6]=>[1,8,6,2,7,4,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,3,6,2,7,4,1,5]=>[1,6,3,7,2,5,8,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,3,7,6,2,5,1,8]=>[5,6,2,3,7,4,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,4,6,5,3,7,2,1]=>[1,5,3,4,6,2,7,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,1,8,3,4,6,5,7]=>[7,8,1,6,5,3,4,2]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,8,7,2,3,6,1,5]=>[5,1,2,7,6,3,8,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,8,2,1,3,6,7,4]=>[4,1,7,8,6,3,2,5]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,8,4,2,1,5,7,6]=>[6,1,5,7,8,4,2,3]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [2,1,6,7,5,3,4,8]=>[7,8,3,2,4,6,5,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,5,6,4,2,7,3,8]=>[8,4,3,5,7,2,6,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,6,7,2,8,1,4]=>[6,4,3,2,7,1,8,5]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [5,3,7,4,8,1,2,6]=>[4,6,2,5,1,8,7,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [2,4,7,5,3,1,8,6]=>[7,5,2,4,6,8,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [3,2,8,6,1,7,4,5]=>[6,7,1,3,8,2,5,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,3,4,6,2,5,1,7]=>[1,6,5,3,7,4,8,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,2,3,5,1,8,4,6]=>[2,7,6,4,8,1,5,3]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [2,4,8,3,6,7,5,1]=>[7,5,1,6,3,2,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [5,4,7,6,2,1,3,8]=>[4,5,2,3,7,8,6,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,1,2,6,5,7,4,8]=>[6,8,7,3,4,2,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,3,7,5,2,6,8,1]=>[5,6,2,4,7,3,1,8]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [3,7,4,6,5,1,8,2]=>[6,2,5,3,4,8,1,7]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,4,5,2,1,7,3,8]=>[3,5,4,7,8,2,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,7,3,8,6,1,5]=>[7,5,2,6,1,3,8,4]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,4,7,1,6,8,5]=>[6,7,5,2,8,3,1,4]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [7,2,3,6,5,1,8,4]=>[2,7,6,3,4,8,1,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,6,1,8,5,3,4]=>[2,7,3,8,1,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [6,7,2,1,3,5,4,8]=>[3,2,7,8,6,4,5,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,7,8,3,6,2,5]=>[5,8,2,1,6,3,7,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [6,7,5,2,3,8,1,4]=>[3,2,4,7,6,1,8,5]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,7,5,1,3,2,6,8]=>[5,2,4,8,6,7,3,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,8,7,4,6,1,2]=>[6,4,1,2,5,3,8,7]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [2,1,3,7,8,5,4,6]=>[7,8,6,2,1,4,5,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [8,4,5,7,1,6,2,3]=>[1,5,4,2,8,3,7,6]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,8,7,3,4,6,2,5]=>[8,1,2,6,5,3,7,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,8,1,6,3,5,4]=>[7,2,1,8,3,6,4,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [8,5,6,4,2,7,3,1]=>[1,4,3,5,7,2,6,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [2,8,4,7,5,3,6,1]=>[7,1,5,2,4,6,3,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,8,5,7,3,6,2,1]=>[5,1,4,2,6,3,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,7,6,4,3,5,8]=>[7,8,2,3,5,6,4,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,8,6,5,3,4,7,1]=>[7,1,3,4,6,5,2,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,6,3,5,8,7,2,4]=>[8,3,6,4,1,2,7,5]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,3,6,4,7,8,5,2]=>[8,6,3,5,2,1,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,3,2,5,4,1,7]=>[3,1,6,7,4,5,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,8,7,6,2,5,3,4]=>[8,1,2,3,7,4,6,5]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,5,7,1,4,8,3,6]=>[7,4,2,8,5,1,6,3]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [4,1,2,7,6,5,3,8]=>[5,8,7,2,3,4,6,1]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,3,7,5,2,4,1,6]=>[1,6,2,4,7,5,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [6,3,8,5,1,7,2,4]=>[3,6,1,4,8,2,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,6,2,3,7,8,4,1]=>[4,3,7,6,2,1,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,8,3,7,2,4,6,1]=>[4,1,6,2,7,5,3,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,7,2,5,6,8,4,1]=>[6,2,7,4,3,1,5,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,3,5,2,1,7,6,4]=>[1,6,4,7,8,2,3,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,3,7,4,2,1,8,6]=>[4,6,2,5,7,8,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [6,3,7,1,4,5,8,2]=>[3,6,2,8,5,4,1,7]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,7,1,3,6,4,2,8]=>[4,2,8,6,3,5,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,5,1,2,3,6]=>[5,2,1,4,8,7,6,3]=>[1,1,3,1,1,1]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [7,1,4,6,8,5,2,3]=>[2,8,5,3,1,4,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [7,1,2,5,3,6,4,8]=>[2,8,7,4,6,3,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,8,3,6,2,4,5]=>[2,8,1,6,3,7,5,4]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,1,7,4,3,2,8,6]=>[4,8,2,5,6,7,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,7,8,6,2,5,3,1]=>[5,2,1,3,7,4,6,8]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,1,5,3,7,6,4,2]=>[1,8,4,6,2,3,5,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,5,6,2,3,8,7,1]=>[5,4,3,7,6,1,2,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,2,1,8,6,3,7]=>[5,4,7,8,1,3,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,8,3,5,7,4,1,2]=>[3,1,6,4,2,5,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,1,3,7,8,5,6,2]=>[5,8,6,2,1,4,3,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,1,6,3,2,8,5,4]=>[2,8,3,6,7,1,4,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,4,1,7,6,2,5,8]=>[6,5,8,2,3,7,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [8,4,5,2,6,7,3,1]=>[1,5,4,7,3,2,6,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,5,1,4,2,6,7]=>[1,6,4,8,5,7,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,4,2,3,6,5,8]=>[8,2,5,7,6,3,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [7,8,4,2,3,6,5,1]=>[2,1,5,7,6,3,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,1,6,5,8,2,3,4]=>[2,8,3,4,1,7,6,5]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,4,3,8,6,5,2]=>[8,2,5,6,1,3,4,7]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,5,4,1,6,2,8]=>[6,2,4,5,8,3,7,1]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,2,4,6,8,3,5,1]=>[2,7,5,3,1,6,4,8]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [7,2,4,3,6,8,5,1]=>[2,7,5,6,3,1,4,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [6,8,4,5,3,1,2,7]=>[3,1,5,4,6,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,1,5,3,2,6,7]=>[5,1,8,4,6,7,3,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [2,5,8,7,4,3,1,6]=>[7,4,1,2,5,6,8,3]=>[1,1,5,1]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [7,8,3,6,4,5,2,1]=>[2,1,6,3,5,4,7,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,8,6,5,3,4,7,2]=>[8,1,3,4,6,5,2,7]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [6,1,8,7,3,5,4,2]=>[3,8,1,2,6,4,5,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [5,7,2,6,4,3,8,1]=>[4,2,7,3,5,6,1,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,6,4,7,5,2,8,3]=>[8,3,5,2,4,7,1,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,1,4,5,3,7,2,8]=>[3,8,5,4,6,2,7,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,5,6,1,4,2,8,3]=>[2,4,3,8,5,7,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,8,3,6,5,2,4,1]=>[2,1,6,3,4,7,5,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,6,8,2,5,4,1]=>[2,6,3,1,7,4,5,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,7,5,2,6,4,3,8]=>[8,2,4,7,3,5,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,4,5,2,7,3,1,8]=>[3,5,4,7,2,6,8,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,4,5,6,1,2,7,3]=>[1,5,4,3,8,7,2,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,8,3,5,1,6,7,2]=>[5,1,6,4,8,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,5,1,6,4,7,3]=>[1,7,4,8,3,5,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,4,5,7,2,3,6,1]=>[1,5,4,2,7,6,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,6,5,1,7,3,4]=>[1,7,3,4,8,2,6,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,2,7,1,4,8,6,3]=>[4,7,2,8,5,1,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,2,4,5,1,7,6,3]=>[1,7,5,4,8,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,6,8,4,1,3,7]=>[7,4,3,1,5,8,6,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [8,4,5,1,7,6,3,2]=>[1,5,4,8,2,3,6,7]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [4,7,6,1,3,5,2,8]=>[5,2,3,8,6,4,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,4,6,3,2,5,1,7]=>[1,5,3,6,7,4,8,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,7,8,1,6,4,5,2]=>[6,2,1,8,3,5,4,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [5,4,7,2,3,6,1,8]=>[4,5,2,7,6,3,8,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,2,4,3,1,5,7,6]=>[1,7,5,6,8,4,2,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [8,1,7,4,5,3,6,2]=>[1,8,2,5,4,6,3,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,4,5,7,6,1,3]=>[1,7,5,4,2,3,8,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,5,3,6,2,4,8,7]=>[8,4,6,3,7,5,1,2]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,1,3,7,6,5,2,4]=>[1,8,6,2,3,4,7,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,5,7,3,2,4,1,6]=>[1,4,2,6,7,5,8,3]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,6,8,7,2,1,3,5]=>[5,3,1,2,7,8,6,4]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,3,4,6,1,8,7,2]=>[4,6,5,3,8,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,5,4,8,6,7,2]=>[6,8,4,5,1,3,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [1,7,3,6,5,8,4,2]=>[8,2,6,3,4,1,5,7]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [6,8,1,2,5,3,4,7]=>[3,1,8,7,4,6,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [6,7,1,3,4,5,2,8]=>[3,2,8,6,5,4,7,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,8,3,4,6,5,2,7]=>[8,1,6,5,3,4,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,2,3,8,1,7,5,4]=>[3,7,6,1,8,2,4,5]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,8,2,7,6,1,3]=>[5,4,1,7,2,3,8,6]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,8,7,1,6,2]=>[5,6,4,1,2,8,3,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,2,7,4,3,6,5,1]=>[1,7,2,5,6,3,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,5,3,6,4,7,8,2]=>[8,4,6,3,5,2,1,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,7,5,2,4,3,8,1]=>[3,2,4,7,5,6,1,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,7,1,2,6,5]=>[6,1,5,2,8,7,3,4]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,4,8,6,7,2,1,3]=>[4,5,1,3,2,7,8,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,8,3,7,6,2,5]=>[5,8,1,6,2,3,7,4]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [5,2,4,1,6,3,7,8]=>[4,7,5,8,3,6,2,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,7,4,6,2,1,5,8]=>[6,2,5,3,7,8,4,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,7,6,1,2,8,4]=>[6,4,2,3,8,7,1,5]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [6,2,3,5,1,4,7,8]=>[3,7,6,4,8,5,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,2,8,5,6,1,7,3]=>[5,7,1,4,3,8,2,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [8,2,6,1,3,4,7,5]=>[1,7,3,8,6,5,2,4]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [5,8,1,2,6,4,3,7]=>[4,1,8,7,3,5,6,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,4,7,1,2,6,8,3]=>[4,5,2,8,7,3,1,6]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,7,4,6,5,1,3,8]=>[7,2,5,3,4,8,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [6,5,7,1,8,3,2,4]=>[3,4,2,8,1,6,7,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,7,3,6,8,1,5,2]=>[5,2,6,3,1,8,4,7]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,4,6,5,7,1,3,8]=>[7,5,3,4,2,8,6,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,5,8,2,6,7,4,1]=>[6,4,1,7,3,2,5,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [2,8,3,6,4,5,1,7]=>[7,1,6,3,5,4,8,2]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,8,6,4,2,1,5,3]=>[2,1,3,5,7,8,4,6]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [7,2,6,1,3,8,4,5]=>[2,7,3,8,6,1,5,4]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,7,1,2,6,4,8,5]=>[6,2,8,7,3,5,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,4,6,3,8,7,1]=>[4,7,5,3,6,1,2,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [7,2,4,6,8,5,3,1]=>[2,7,5,3,1,4,6,8]=>[2,1,1,4]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [5,7,2,6,4,8,3,1]=>[4,2,7,3,5,1,6,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,7,3,6,4,5,1]=>[7,1,2,6,3,5,4,8]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,4,5,7,6,2,1,3]=>[1,5,4,2,3,7,8,6]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,7,8,3,1,6,4]=>[4,7,2,1,6,8,3,5]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,8,4,5,2,1,6,3]=>[2,1,5,4,7,8,3,6]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,5,7,1,6,8]=>[7,5,6,4,2,8,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [8,3,5,6,2,4,7,1]=>[1,6,4,3,7,5,2,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,2,6,7,3,5,1,4]=>[1,7,3,2,6,4,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4,8]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [2,7,3,6,8,4,5,1]=>[7,2,6,3,1,5,4,8]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,2,7,6,3,4,1,8]=>[4,7,2,3,6,5,8,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,7,4,3,6,1,8]=>[7,4,2,5,6,3,8,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [7,4,6,5,3,8,1,2]=>[2,5,3,4,6,1,8,7]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,8,6,4,2,1,7,5]=>[6,1,3,5,7,8,2,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [6,1,8,3,5,7,2,4]=>[3,8,1,6,4,2,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,7,4,5,1,3,6,8]=>[7,2,5,4,8,6,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,7,1,5,2,3,6,8]=>[5,2,8,4,7,6,3,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [7,8,3,6,5,4,2,1]=>[2,1,6,3,4,5,7,8]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [3,7,2,1,6,5,4,8]=>[6,2,7,8,3,4,5,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,3,4,1,6,5,8]=>[7,2,6,5,8,3,4,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,2,3,6,1,5,7,8]=>[5,7,6,3,8,4,2,1]=>[2,1,2,1,1,1]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>4 [4,1,6,5,8,7,2,3]=>[5,8,3,4,1,2,7,6]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,1,8,6,2,5,3,7]=>[5,8,1,3,7,4,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,1,8,7,6,4,2]=>[6,4,8,1,2,3,5,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [7,4,5,3,1,6,2,8]=>[2,5,4,6,8,3,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,1,2,4,6,3,8]=>[4,2,8,7,5,3,6,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [2,5,3,8,6,4,7,1]=>[7,4,6,1,3,5,2,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,3,2,6,4,8,7]=>[8,4,6,7,3,5,1,2]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,1,3,7,6,4,8,5]=>[7,8,6,2,3,5,1,4]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,2,8,3,4,1,6,5]=>[2,7,1,6,5,8,3,4]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [7,1,4,6,2,5,8,3]=>[2,8,5,3,7,4,1,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,2,8,1,5,3,4,7]=>[3,7,1,8,4,6,5,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,3,6,5,2,8,7,4]=>[8,6,3,4,7,1,2,5]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,1,8,4,2,6,7,5]=>[6,8,1,5,7,3,2,4]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [4,7,1,3,6,8,5,2]=>[5,2,8,6,3,1,4,7]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,1,4,7,6,3,8,2]=>[4,8,5,2,3,6,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,7,1,2,5,4,6]=>[1,6,2,8,7,4,5,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [2,8,1,4,3,5,6,7]=>[7,1,8,5,6,4,3,2]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,3,6,5,7,4,1,2]=>[1,6,3,4,2,5,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,7,3,2,5,8,6,4]=>[8,2,6,7,4,1,3,5]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,7,2,4,5,1,8,6]=>[6,2,7,5,4,8,1,3]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,1,7,5,3,4,6,8]=>[7,8,2,4,6,5,3,1]=>[2,3,1,1,1]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,8,5,3,4,2,7,6]=>[8,1,4,6,5,7,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,5,2,4,7,6,3]=>[1,8,4,7,5,2,3,6]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,3,8,7,4,2,5,6]=>[8,6,1,2,5,7,4,3]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [5,2,7,6,3,1,4,8]=>[4,7,2,3,6,8,5,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [8,2,3,5,7,4,1,6]=>[1,7,6,4,2,5,8,3]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,1,6,3,4,7,2,8]=>[4,8,3,6,5,2,7,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,1,5,8,2,4,6,3]=>[2,8,4,1,7,5,3,6]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [6,4,5,1,7,3,2,8]=>[3,5,4,8,2,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,8,6,2,1,5,4,7]=>[6,1,3,7,8,4,5,2]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [7,1,8,2,6,5,3,4]=>[2,8,1,7,3,4,6,5]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [8,5,7,3,4,6,1,2]=>[1,4,2,6,5,3,8,7]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,1,2,5,8,4,7,6]=>[6,8,7,4,1,5,2,3]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [4,7,5,6,1,2,3,8]=>[5,2,4,3,8,7,6,1]=>[1,2,2,1,1,1]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [8,2,4,7,6,3,5,1]=>[1,7,5,2,3,6,4,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,8,6,2,5,4,1,7]=>[6,1,3,7,4,5,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [6,1,8,7,5,2,4,3]=>[3,8,1,2,4,7,5,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,7,5,2,1,6,8,3]=>[5,2,4,7,8,3,1,6]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,8,3,2,6,5,4,7]=>[8,1,6,7,3,4,5,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [7,1,4,8,6,5,3,2]=>[2,8,5,1,3,4,6,7]=>[2,1,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [8,3,4,2,7,1,5,6]=>[1,6,5,7,2,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,3,4,6,2,7,5,1]=>[1,6,5,3,7,2,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,7,5,1,8,3,6,2]=>[5,2,4,8,1,6,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,7,5,1,4,2,3,8]=>[3,2,4,8,5,7,6,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,6,4,2,3,8,1]=>[4,2,3,5,7,6,1,8]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [8,5,7,4,6,3,1,2]=>[1,4,2,5,3,6,8,7]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,7,8,6,1,3,2]=>[5,4,2,1,3,8,6,7]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [2,7,8,1,5,6,4,3]=>[7,2,1,8,4,3,5,6]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,8,5,2,3,7,4]=>[3,8,1,4,7,6,2,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,8,6,1,3,7,4,5]=>[7,1,3,8,6,2,5,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,6,1,3,5,7,4,8]=>[7,3,8,6,4,2,5,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [4,6,2,5,7,8,3,1]=>[5,3,7,4,2,1,6,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [5,2,8,1,4,3,6,7]=>[4,7,1,8,5,6,3,2]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [5,3,8,4,2,1,7,6]=>[4,6,1,5,7,8,2,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [5,6,1,3,8,2,4,7]=>[4,3,8,6,1,7,5,2]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,2,8,3,7,5,6,4]=>[8,7,1,6,2,4,3,5]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [4,7,2,5,3,6,8,1]=>[5,2,7,4,6,3,1,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [8,4,7,3,2,6,5,1]=>[1,5,2,6,7,3,4,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,7,4,5,1,2,8]=>[6,3,2,5,4,8,7,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [5,7,4,2,3,6,1,8]=>[4,2,5,7,6,3,8,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,4,8,2,5,1,6,7]=>[6,5,1,7,4,8,3,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [4,3,8,2,6,5,1,7]=>[5,6,1,7,3,4,8,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,5,2,4,6,8,1]=>[2,6,4,7,5,3,1,8]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [2,1,7,3,6,5,4,8]=>[7,8,2,6,3,4,5,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,3,4,2,5,8,1,6]=>[2,6,5,7,4,1,8,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [3,4,1,7,6,5,2,8]=>[6,5,8,2,3,4,7,1]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [3,5,8,6,7,1,2,4]=>[6,4,1,3,2,8,7,5]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [3,2,7,8,6,5,1,4]=>[6,7,2,1,3,4,8,5]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [6,7,4,1,3,5,2,8]=>[3,2,5,8,6,4,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [3,2,8,6,5,7,1,4]=>[6,7,1,3,4,2,8,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,7,2,4,3,1,6,8]=>[4,2,7,5,6,8,3,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [7,2,3,6,1,5,4,8]=>[2,7,6,3,8,4,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [8,1,2,7,4,6,3,5]=>[1,8,7,2,5,3,6,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,2,5,4,3,6,8]=>[2,8,7,4,5,6,3,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,1,5,3,2,7,6]=>[5,1,8,4,6,7,2,3]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,6,3,2,7,4,8]=>[8,4,3,6,7,2,5,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,3,7,1,4,2,5,6]=>[1,6,2,8,5,7,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [7,1,3,5,2,6,4,8]=>[2,8,6,4,7,3,5,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [7,1,5,4,3,2,6,8]=>[2,8,4,5,6,7,3,1]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,4,6,8,1,2,7,5]=>[6,5,3,1,8,7,2,4]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [7,3,4,2,8,6,5,1]=>[2,6,5,7,1,3,4,8]=>[2,2,4]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [3,5,8,4,1,7,6,2]=>[6,4,1,5,8,2,3,7]=>[1,1,3,3]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [8,4,6,3,2,7,1,5]=>[1,5,3,6,7,2,8,4]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [8,5,6,3,1,7,2,4]=>[1,4,3,6,8,2,7,5]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,8,7,1,3,2,5,6]=>[5,1,2,8,6,7,4,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [3,8,5,2,4,1,7,6]=>[6,1,4,7,5,8,2,3]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,6,2,5,7,4,1,8]=>[6,3,7,4,2,5,8,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,3,7,8,4,1,2]=>[4,3,6,2,1,5,8,7]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,3,7,1,5,8,2,4]=>[3,6,2,8,4,1,7,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [5,6,3,1,4,8,7,2]=>[4,3,6,8,5,1,2,7]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [6,1,8,4,3,7,5,2]=>[3,8,1,5,6,2,4,7]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [7,5,6,1,4,8,3,2]=>[2,4,3,8,5,1,6,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [2,7,1,6,4,5,3,8]=>[7,2,8,3,5,4,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [3,8,6,7,1,4,2,5]=>[6,1,3,2,8,5,7,4]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,1,6,7,2,4,3,8]=>[4,8,3,2,7,5,6,1]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,8,2,3,7,1,6,4]=>[4,1,7,6,2,8,3,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [5,8,1,2,7,4,6,3]=>[4,1,8,7,2,5,3,6]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,2,5,7,4,1,6]=>[6,1,7,4,2,5,8,3]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [4,5,2,1,3,7,8,6]=>[5,4,7,8,6,2,1,3]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [3,7,2,6,4,1,8,5]=>[6,2,7,3,5,8,1,4]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,2,7,5,1,4,3,8]=>[3,7,2,4,8,5,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [5,1,4,6,8,7,2,3]=>[4,8,5,3,1,2,7,6]=>[2,1,1,3,1]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [2,6,8,7,1,4,3,5]=>[7,3,1,2,8,5,6,4]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [8,2,4,7,5,3,6,1]=>[1,7,5,2,4,6,3,8]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [8,3,6,2,5,7,4,1]=>[1,6,3,7,4,2,5,8]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [8,3,6,1,5,4,7,2]=>[1,6,3,8,4,5,2,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [4,8,1,5,6,3,2,7]=>[5,1,8,4,3,6,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,8,7,3,1,2,6,4]=>[4,1,2,6,8,7,3,5]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [7,2,5,4,3,1,8,6]=>[2,7,4,5,6,8,1,3]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [7,4,5,2,1,6,3,8]=>[2,5,4,7,8,3,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,6,1,5,3,8,7,4]=>[7,3,8,4,6,1,2,5]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,3,7,5,8,6,1]=>[5,7,6,2,4,1,3,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,8,6,4,5,2,7]=>[6,8,1,3,5,4,7,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [7,3,4,8,2,5,6,1]=>[2,6,5,1,7,4,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [4,5,7,1,8,3,6,2]=>[5,4,2,8,1,6,3,7]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,6,4,5,8,3]=>[7,2,8,3,5,4,1,6]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,2,7,4,6,1,5,8]=>[6,7,2,5,3,8,4,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,8,6,2,7,5,4,3]=>[8,1,3,7,2,4,5,6]=>[1,3,4]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,5,8,1,6,3,4,7]=>[7,4,1,8,3,6,5,2]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [8,1,6,5,4,2,7,3]=>[1,8,3,4,5,7,2,6]=>[2,4,2]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>5 [4,2,7,3,8,1,5,6]=>[5,7,2,6,1,8,4,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,7,8,2,6,5,3,4]=>[8,2,1,7,3,4,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,3,2,1,6,8,5]=>[5,2,6,7,8,3,1,4]=>[1,4,1,2]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,3,7,8,6,2,5,4]=>[8,6,2,1,3,7,4,5]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [3,6,4,1,7,5,8,2]=>[6,3,5,8,2,4,1,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [8,1,6,3,5,7,4,2]=>[1,8,3,6,4,2,5,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,2,4,8,5,3,6,7]=>[8,7,5,1,4,6,3,2]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [7,4,5,1,6,3,2,8]=>[2,5,4,8,3,6,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,6,7,2,5,4,1,8]=>[6,3,2,7,4,5,8,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,7,8,2,3,6,5,1]=>[5,2,1,7,6,3,4,8]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [6,8,4,3,5,2,1,7]=>[3,1,5,6,4,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,7,5,1,6,4,8,3]=>[7,2,4,8,3,5,1,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [6,1,3,8,7,4,2,5]=>[3,8,6,1,2,5,7,4]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [8,2,5,1,6,4,3,7]=>[1,7,4,8,3,5,6,2]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,8,5,3,6,2,1,7]=>[5,1,4,6,3,7,8,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,8,3,2,5,7,1,6]=>[5,1,6,7,4,2,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [5,4,8,6,7,1,3,2]=>[4,5,1,3,2,8,6,7]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [3,1,6,7,5,4,8,2]=>[6,8,3,2,4,5,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,2,1,4,8,6,7]=>[6,4,7,8,5,1,3,2]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [8,2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2,8]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,1,4,3,7,5,2,8]=>[3,8,5,6,2,4,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,2,4,6,8,7,1]=>[6,4,7,5,3,1,2,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [7,3,6,8,2,1,4,5]=>[2,6,3,1,7,8,5,4]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [4,8,3,5,2,6,7,1]=>[5,1,6,4,7,3,2,8]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,5,7,2,8,6,3,4]=>[8,4,2,7,1,3,6,5]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [7,4,5,8,3,1,2,6]=>[2,5,4,1,6,8,7,3]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,2,6,1,7,8,3,4]=>[4,7,3,8,2,1,6,5]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [7,2,4,5,6,1,3,8]=>[2,7,5,4,3,8,6,1]=>[2,1,1,2,1,1]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>4 [3,4,8,5,2,6,1,7]=>[6,5,1,4,7,3,8,2]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [4,7,8,1,3,6,5,2]=>[5,2,1,8,6,3,4,7]=>[1,1,2,1,3]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [4,2,5,1,6,7,3,8]=>[5,7,4,8,3,2,6,1]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [4,5,6,1,8,2,7,3]=>[5,4,3,8,1,7,2,6]=>[1,1,2,2,2]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [2,8,5,3,7,1,4,6]=>[7,1,4,6,2,8,5,3]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [5,1,3,8,7,4,2,6]=>[4,8,6,1,2,5,7,3]=>[2,1,4,1]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [5,2,7,8,3,4,6,1]=>[4,7,2,1,6,5,3,8]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,5,2,4,6,7,1,8]=>[6,4,7,5,3,2,8,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [3,2,7,5,1,4,8,6]=>[6,7,2,4,8,5,1,3]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,7,4,8,6,2,3,1]=>[4,2,5,1,3,7,6,8]=>[1,2,3,2]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [6,3,4,5,1,8,7,2]=>[3,6,5,4,8,1,2,7]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [8,4,5,2,7,1,3,6]=>[1,5,4,7,2,8,6,3]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [3,4,1,6,7,5,2,8]=>[6,5,8,3,2,4,7,1]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [6,1,4,7,5,2,8,3]=>[3,8,5,2,4,7,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [7,3,4,6,5,1,8,2]=>[2,6,5,3,4,8,1,7]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,8,5,4,7,1,6,3]=>[7,1,4,5,2,8,3,6]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,8,4,5,2,7,6,1]=>[6,1,5,4,7,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,7,6,3,4,8,1]=>[7,4,2,3,6,5,1,8]=>[1,1,3,1,2]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [4,6,5,8,3,1,2,7]=>[5,3,4,1,6,8,7,2]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,1,6,4,2,8,3,7]=>[4,8,3,5,7,1,6,2]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,8,7,4,3,1,6,5]=>[7,1,2,5,6,8,3,4]=>[1,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,7,5,4,2,3,6,8]=>[8,2,4,5,7,6,3,1]=>[1,4,1,1,1]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [4,6,2,1,7,3,8,5]=>[5,3,7,8,2,6,1,4]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [3,7,2,1,6,4,5,8]=>[6,2,7,8,3,5,4,1]=>[1,3,2,1,1]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [2,6,8,7,3,1,5,4]=>[7,3,1,2,6,8,4,5]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [6,4,5,8,1,3,2,7]=>[3,5,4,1,8,6,7,2]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [5,6,4,1,3,7,8,2]=>[4,3,5,8,6,2,1,7]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [2,1,3,7,6,8,4,5]=>[7,8,6,2,3,1,5,4]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,3,2,6,7,5,1]=>[5,1,6,7,3,2,4,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,4,7,6,3,5,2,8]=>[8,5,2,3,6,4,7,1]=>[1,1,3,2,1]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [3,5,6,8,1,4,7,2]=>[6,4,3,1,8,5,2,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [8,1,7,3,4,6,5,2]=>[1,8,2,6,5,3,4,7]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,8,2,7,4,6,5,1]=>[6,1,7,2,5,3,4,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,8,4,7,2,1,5,6]=>[6,1,5,2,7,8,4,3]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,4,1,3,7,2,8]=>[4,3,5,8,6,2,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,8,7,4,3,1,5,6]=>[7,1,2,5,6,8,4,3]=>[1,5,1,1]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [4,2,3,7,6,8,5,1]=>[5,7,6,2,3,1,4,8]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,8,4,6,5,3,1,7]=>[7,1,5,3,4,6,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,4,3,8,5,6,2]=>[8,2,5,6,1,4,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [4,2,8,7,1,5,6,3]=>[5,7,1,2,8,4,3,6]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [5,6,4,2,3,8,7,1]=>[4,3,5,7,6,1,2,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [7,2,5,6,4,1,3,8]=>[2,7,4,3,5,8,6,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,6,2,5,7,1,8,4]=>[6,3,7,4,2,8,1,5]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [3,8,5,4,2,7,1,6]=>[6,1,4,5,7,2,8,3]=>[1,4,2,1]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [2,7,1,3,4,6,5,8]=>[7,2,8,6,5,3,4,1]=>[1,2,1,1,2,1]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [5,6,2,1,8,4,3,7]=>[4,3,7,8,1,5,6,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,6,3,8,7,5,4,2]=>[8,3,6,1,2,4,5,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [5,3,4,1,7,6,2,8]=>[4,6,5,8,2,3,7,1]=>[2,2,3,1]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [7,1,5,6,4,2,8,3]=>[2,8,4,3,5,7,1,6]=>[2,1,3,2]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,5,7,2,6,1,8]=>[6,5,4,2,7,3,8,1]=>[1,1,1,2,2,1]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [6,1,7,5,2,3,8,4]=>[3,8,2,4,7,6,1,5]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,5,3,4,7,1,6,8]=>[7,4,6,5,2,8,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [4,1,7,6,2,5,3,8]=>[5,8,2,3,7,4,6,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,7,6,1,2,8,3,5]=>[5,2,3,8,7,1,6,4]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [2,7,5,8,4,3,1,6]=>[7,2,4,1,5,6,8,3]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [4,1,5,3,7,2,6,8]=>[5,8,4,6,2,7,3,1]=>[2,2,2,1,1]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [8,1,3,2,4,7,5,6]=>[1,8,6,7,5,2,4,3]=>[2,2,1,2,1]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [8,3,5,1,2,6,7,4]=>[1,6,4,8,7,3,2,5]=>[2,2,1,1,2]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [3,4,6,1,7,5,2,8]=>[6,5,3,8,2,4,7,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,5,2,4,3,7,8,6]=>[8,4,7,5,6,2,1,3]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [3,1,5,4,2,6,8,7]=>[6,8,4,5,7,3,1,2]=>[2,3,1,2]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [2,7,5,1,6,4,3,8]=>[7,2,4,8,3,5,6,1]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,7,1,2,8,6]=>[5,6,4,2,8,7,1,3]=>[2,1,2,1,2]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [5,7,6,1,3,4,2,8]=>[4,2,3,8,6,5,7,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,8,3,5,4,2,1,7]=>[3,1,6,4,5,7,8,2]=>[1,2,4,1]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,7,4,6,5,2,3,8]=>[8,2,5,3,4,7,6,1]=>[1,2,3,1,1]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [5,6,4,3,1,8,7,2]=>[4,3,5,6,8,1,2,7]=>[1,4,3]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,2,7,1,5,4,8,3]=>[3,7,2,8,4,5,1,6]=>[2,2,2,2]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>7 [6,2,3,1,5,8,7,4]=>[3,7,6,8,4,1,2,5]=>[2,2,1,3]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [3,7,2,4,6,8,5,1]=>[6,2,7,5,3,1,4,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [8,1,4,5,2,7,6,3]=>[1,8,5,4,7,2,3,6]=>[2,1,2,3]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,3,7,6,8,1,4]=>[4,7,6,2,3,1,8,5]=>[2,1,2,2,1]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,8,2,5,3,7,6,1]=>[5,1,7,4,6,2,3,8]=>[1,2,2,3]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,4,3,8,7,1]=>[4,7,3,5,6,1,2,8]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [3,6,7,2,4,1,5,8]=>[6,3,2,7,5,8,4,1]=>[1,1,2,2,1,1]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,5,3,1,8,7,4,6]=>[7,4,6,8,1,2,5,3]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [2,5,6,8,4,1,7,3]=>[7,4,3,1,5,8,2,6]=>[1,1,1,3,2]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [4,1,6,7,3,2,5,8]=>[5,8,3,2,6,7,4,1]=>[2,1,3,1,1]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [3,5,2,1,4,8,7,6]=>[6,4,7,8,5,1,2,3]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [3,8,7,2,4,5,1,6]=>[6,1,2,7,5,4,8,3]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [4,5,2,3,6,8,7,1]=>[5,4,7,6,3,1,2,8]=>[1,2,1,1,3]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,7,4,5,2,6,3,8]=>[8,2,5,4,7,3,6,1]=>[1,2,2,2,1]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [4,6,7,5,3,1,2,8]=>[5,3,2,4,6,8,7,1]=>[1,1,4,1,1]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [4,5,7,8,1,3,6,2]=>[5,4,2,1,8,6,3,7]=>[1,1,1,2,1,2]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [6,1,5,3,2,8,7,4]=>[3,8,4,6,7,1,2,5]=>[2,3,3]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,2,8,4,6,5,3,7]=>[8,7,1,5,3,4,6,2]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,3,4,7,6,2,5,8]=>[8,6,5,2,3,7,4,1]=>[1,1,1,3,1,1]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,5,7,4,3,1,8,6]=>[7,4,2,5,6,8,1,3]=>[1,1,4,2]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [4,3,8,6,5,1,2,7]=>[5,6,1,3,4,8,7,2]=>[2,4,1,1]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,1,4,5,7,6,8,2]=>[6,8,5,4,2,3,1,7]=>[2,1,1,2,2]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [6,8,5,2,4,7,3,1]=>[3,1,4,7,5,2,6,8]=>[1,3,1,3]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [4,5,3,8,1,6,7,2]=>[5,4,6,1,8,3,2,7]=>[1,2,2,1,2]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,7,3,8,6,5,4,2]=>[8,2,6,1,3,4,5,7]=>[1,2,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,8,6,4,5,3,2,7]=>[8,1,3,5,4,6,7,2]=>[1,3,3,1]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,8,5,1,7,4,6,2]=>[6,1,4,8,2,5,3,7]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,7,3,2,6,5,8,4]=>[8,2,6,7,3,4,1,5]=>[1,3,2,2]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [2,6,7,1,5,4,3,8]=>[7,3,2,8,4,5,6,1]=>[1,1,2,3,1]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,6,7,1,8,5]=>[7,5,6,3,2,8,1,4]=>[1,2,1,2,2]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [2,7,1,3,5,4,6,8]=>[7,2,8,6,4,5,3,1]=>[1,2,1,2,1,1]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,7,5,2,4,6,8,3]=>[8,2,4,7,5,3,1,6]=>[1,3,1,1,2]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [5,6,1,3,8,4,2,7]=>[4,3,8,6,1,5,7,2]=>[1,2,1,3,1]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [5,6,7,1,3,4,2,8]=>[4,3,2,8,6,5,7,1]=>[1,1,2,1,2,1]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [3,7,2,1,4,6,5,8]=>[6,2,7,8,5,3,4,1]=>[1,3,1,2,1]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [6,1,7,5,3,4,2,8]=>[3,8,2,4,6,5,7,1]=>[2,3,2,1]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6