=>

[1]=>[1]=>[1,0]=>[1]=>1 [1,2]=>[2,1]=>[1,1,0,0]=>[2]=>2 [2,1]=>[1,2]=>[1,0,1,0]=>[1,1]=>1 [1,2,3]=>[3,2,1]=>[1,1,1,0,0,0]=>[3]=>3 [1,3,2]=>[2,3,1]=>[1,1,0,1,0,0]=>[2,1]=>2 [2,1,3]=>[3,1,2]=>[1,1,1,0,0,0]=>[3]=>3 [2,3,1]=>[1,3,2]=>[1,0,1,1,0,0]=>[1,2]=>1 [3,1,2]=>[2,1,3]=>[1,1,0,0,1,0]=>[2,1]=>2 [3,2,1]=>[1,2,3]=>[1,0,1,0,1,0]=>[1,1,1]=>1 [1,2,3,4]=>[4,3,2,1]=>[1,1,1,1,0,0,0,0]=>[4]=>4 [1,2,4,3]=>[3,4,2,1]=>[1,1,1,0,1,0,0,0]=>[3,1]=>3 [1,3,2,4]=>[4,2,3,1]=>[1,1,1,1,0,0,0,0]=>[4]=>4 [1,3,4,2]=>[2,4,3,1]=>[1,1,0,1,1,0,0,0]=>[2,2]=>2 [1,4,2,3]=>[3,2,4,1]=>[1,1,1,0,0,1,0,0]=>[3,1]=>3 [1,4,3,2]=>[2,3,4,1]=>[1,1,0,1,0,1,0,0]=>[2,1,1]=>2 [2,1,3,4]=>[4,3,1,2]=>[1,1,1,1,0,0,0,0]=>[4]=>4 [2,1,4,3]=>[3,4,1,2]=>[1,1,1,0,1,0,0,0]=>[3,1]=>3 [2,3,1,4]=>[4,1,3,2]=>[1,1,1,1,0,0,0,0]=>[4]=>4 [2,3,4,1]=>[1,4,3,2]=>[1,0,1,1,1,0,0,0]=>[1,3]=>1 [2,4,1,3]=>[3,1,4,2]=>[1,1,1,0,0,1,0,0]=>[3,1]=>3 [2,4,3,1]=>[1,3,4,2]=>[1,0,1,1,0,1,0,0]=>[1,2,1]=>1 [3,1,2,4]=>[4,2,1,3]=>[1,1,1,1,0,0,0,0]=>[4]=>4 [3,1,4,2]=>[2,4,1,3]=>[1,1,0,1,1,0,0,0]=>[2,2]=>2 [3,2,1,4]=>[4,1,2,3]=>[1,1,1,1,0,0,0,0]=>[4]=>4 [3,2,4,1]=>[1,4,2,3]=>[1,0,1,1,1,0,0,0]=>[1,3]=>1 [3,4,1,2]=>[2,1,4,3]=>[1,1,0,0,1,1,0,0]=>[2,2]=>2 [3,4,2,1]=>[1,2,4,3]=>[1,0,1,0,1,1,0,0]=>[1,1,2]=>1 [4,1,2,3]=>[3,2,1,4]=>[1,1,1,0,0,0,1,0]=>[3,1]=>3 [4,1,3,2]=>[2,3,1,4]=>[1,1,0,1,0,0,1,0]=>[2,1,1]=>2 [4,2,1,3]=>[3,1,2,4]=>[1,1,1,0,0,0,1,0]=>[3,1]=>3 [4,2,3,1]=>[1,3,2,4]=>[1,0,1,1,0,0,1,0]=>[1,2,1]=>1 [4,3,1,2]=>[2,1,3,4]=>[1,1,0,0,1,0,1,0]=>[2,1,1]=>2 [4,3,2,1]=>[1,2,3,4]=>[1,0,1,0,1,0,1,0]=>[1,1,1,1]=>1 [1,2,3,4,5]=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [1,2,3,5,4]=>[4,5,3,2,1]=>[1,1,1,1,0,1,0,0,0,0]=>[4,1]=>4 [1,2,4,3,5]=>[5,3,4,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [1,2,4,5,3]=>[3,5,4,2,1]=>[1,1,1,0,1,1,0,0,0,0]=>[3,2]=>3 [1,2,5,3,4]=>[4,3,5,2,1]=>[1,1,1,1,0,0,1,0,0,0]=>[4,1]=>4 [1,2,5,4,3]=>[3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0]=>[3,1,1]=>3 [1,3,2,4,5]=>[5,4,2,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [1,3,2,5,4]=>[4,5,2,3,1]=>[1,1,1,1,0,1,0,0,0,0]=>[4,1]=>4 [1,3,4,2,5]=>[5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [1,3,4,5,2]=>[2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>[2,3]=>2 [1,3,5,2,4]=>[4,2,5,3,1]=>[1,1,1,1,0,0,1,0,0,0]=>[4,1]=>4 [1,3,5,4,2]=>[2,4,5,3,1]=>[1,1,0,1,1,0,1,0,0,0]=>[2,2,1]=>2 [1,4,2,3,5]=>[5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [1,4,2,5,3]=>[3,5,2,4,1]=>[1,1,1,0,1,1,0,0,0,0]=>[3,2]=>3 [1,4,3,2,5]=>[5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [1,4,3,5,2]=>[2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0]=>[2,3]=>2 [1,4,5,2,3]=>[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>[3,2]=>3 [1,4,5,3,2]=>[2,3,5,4,1]=>[1,1,0,1,0,1,1,0,0,0]=>[2,1,2]=>2 [1,5,2,3,4]=>[4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>[4,1]=>4 [1,5,2,4,3]=>[3,4,2,5,1]=>[1,1,1,0,1,0,0,1,0,0]=>[3,1,1]=>3 [1,5,3,2,4]=>[4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>[4,1]=>4 [1,5,3,4,2]=>[2,4,3,5,1]=>[1,1,0,1,1,0,0,1,0,0]=>[2,2,1]=>2 [1,5,4,2,3]=>[3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0]=>[3,1,1]=>3 [1,5,4,3,2]=>[2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0]=>[2,1,1,1]=>2 [2,1,3,4,5]=>[5,4,3,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [2,1,3,5,4]=>[4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>[4,1]=>4 [2,1,4,3,5]=>[5,3,4,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [2,1,4,5,3]=>[3,5,4,1,2]=>[1,1,1,0,1,1,0,0,0,0]=>[3,2]=>3 [2,1,5,3,4]=>[4,3,5,1,2]=>[1,1,1,1,0,0,1,0,0,0]=>[4,1]=>4 [2,1,5,4,3]=>[3,4,5,1,2]=>[1,1,1,0,1,0,1,0,0,0]=>[3,1,1]=>3 [2,3,1,4,5]=>[5,4,1,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [2,3,1,5,4]=>[4,5,1,3,2]=>[1,1,1,1,0,1,0,0,0,0]=>[4,1]=>4 [2,3,4,1,5]=>[5,1,4,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [2,3,4,5,1]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,4]=>1 [2,3,5,1,4]=>[4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>[4,1]=>4 [2,3,5,4,1]=>[1,4,5,3,2]=>[1,0,1,1,1,0,1,0,0,0]=>[1,3,1]=>1 [2,4,1,3,5]=>[5,3,1,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [2,4,1,5,3]=>[3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>[3,2]=>3 [2,4,3,1,5]=>[5,1,3,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [2,4,3,5,1]=>[1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>[1,4]=>1 [2,4,5,1,3]=>[3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>[3,2]=>3 [2,4,5,3,1]=>[1,3,5,4,2]=>[1,0,1,1,0,1,1,0,0,0]=>[1,2,2]=>1 [2,5,1,3,4]=>[4,3,1,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>[4,1]=>4 [2,5,1,4,3]=>[3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0]=>[3,1,1]=>3 [2,5,3,1,4]=>[4,1,3,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>[4,1]=>4 [2,5,3,4,1]=>[1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0]=>[1,3,1]=>1 [2,5,4,1,3]=>[3,1,4,5,2]=>[1,1,1,0,0,1,0,1,0,0]=>[3,1,1]=>3 [2,5,4,3,1]=>[1,3,4,5,2]=>[1,0,1,1,0,1,0,1,0,0]=>[1,2,1,1]=>1 [3,1,2,4,5]=>[5,4,2,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [3,1,2,5,4]=>[4,5,2,1,3]=>[1,1,1,1,0,1,0,0,0,0]=>[4,1]=>4 [3,1,4,2,5]=>[5,2,4,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [3,1,4,5,2]=>[2,5,4,1,3]=>[1,1,0,1,1,1,0,0,0,0]=>[2,3]=>2 [3,1,5,2,4]=>[4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>[4,1]=>4 [3,1,5,4,2]=>[2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0]=>[2,2,1]=>2 [3,2,1,4,5]=>[5,4,1,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [3,2,1,5,4]=>[4,5,1,2,3]=>[1,1,1,1,0,1,0,0,0,0]=>[4,1]=>4 [3,2,4,1,5]=>[5,1,4,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [3,2,4,5,1]=>[1,5,4,2,3]=>[1,0,1,1,1,1,0,0,0,0]=>[1,4]=>1 [3,2,5,1,4]=>[4,1,5,2,3]=>[1,1,1,1,0,0,1,0,0,0]=>[4,1]=>4 [3,2,5,4,1]=>[1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0]=>[1,3,1]=>1 [3,4,1,2,5]=>[5,2,1,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [3,4,1,5,2]=>[2,5,1,4,3]=>[1,1,0,1,1,1,0,0,0,0]=>[2,3]=>2 [3,4,2,1,5]=>[5,1,2,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [3,4,2,5,1]=>[1,5,2,4,3]=>[1,0,1,1,1,1,0,0,0,0]=>[1,4]=>1 [3,4,5,1,2]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>[2,3]=>2 [3,4,5,2,1]=>[1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>[1,1,3]=>1 [3,5,1,2,4]=>[4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>[4,1]=>4 [3,5,1,4,2]=>[2,4,1,5,3]=>[1,1,0,1,1,0,0,1,0,0]=>[2,2,1]=>2 [3,5,2,1,4]=>[4,1,2,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>[4,1]=>4 [3,5,2,4,1]=>[1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>[1,3,1]=>1 [3,5,4,1,2]=>[2,1,4,5,3]=>[1,1,0,0,1,1,0,1,0,0]=>[2,2,1]=>2 [3,5,4,2,1]=>[1,2,4,5,3]=>[1,0,1,0,1,1,0,1,0,0]=>[1,1,2,1]=>1 [4,1,2,3,5]=>[5,3,2,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [4,1,2,5,3]=>[3,5,2,1,4]=>[1,1,1,0,1,1,0,0,0,0]=>[3,2]=>3 [4,1,3,2,5]=>[5,2,3,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [4,1,3,5,2]=>[2,5,3,1,4]=>[1,1,0,1,1,1,0,0,0,0]=>[2,3]=>2 [4,1,5,2,3]=>[3,2,5,1,4]=>[1,1,1,0,0,1,1,0,0,0]=>[3,2]=>3 [4,1,5,3,2]=>[2,3,5,1,4]=>[1,1,0,1,0,1,1,0,0,0]=>[2,1,2]=>2 [4,2,1,3,5]=>[5,3,1,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [4,2,1,5,3]=>[3,5,1,2,4]=>[1,1,1,0,1,1,0,0,0,0]=>[3,2]=>3 [4,2,3,1,5]=>[5,1,3,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [4,2,3,5,1]=>[1,5,3,2,4]=>[1,0,1,1,1,1,0,0,0,0]=>[1,4]=>1 [4,2,5,1,3]=>[3,1,5,2,4]=>[1,1,1,0,0,1,1,0,0,0]=>[3,2]=>3 [4,2,5,3,1]=>[1,3,5,2,4]=>[1,0,1,1,0,1,1,0,0,0]=>[1,2,2]=>1 [4,3,1,2,5]=>[5,2,1,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [4,3,1,5,2]=>[2,5,1,3,4]=>[1,1,0,1,1,1,0,0,0,0]=>[2,3]=>2 [4,3,2,1,5]=>[5,1,2,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>[5]=>5 [4,3,2,5,1]=>[1,5,2,3,4]=>[1,0,1,1,1,1,0,0,0,0]=>[1,4]=>1 [4,3,5,1,2]=>[2,1,5,3,4]=>[1,1,0,0,1,1,1,0,0,0]=>[2,3]=>2 [4,3,5,2,1]=>[1,2,5,3,4]=>[1,0,1,0,1,1,1,0,0,0]=>[1,1,3]=>1 [4,5,1,2,3]=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>[3,2]=>3 [4,5,1,3,2]=>[2,3,1,5,4]=>[1,1,0,1,0,0,1,1,0,0]=>[2,1,2]=>2 [4,5,2,1,3]=>[3,1,2,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>[3,2]=>3 [4,5,2,3,1]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>[1,2,2]=>1 [4,5,3,1,2]=>[2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0]=>[2,1,2]=>2 [4,5,3,2,1]=>[1,2,3,5,4]=>[1,0,1,0,1,0,1,1,0,0]=>[1,1,1,2]=>1 [5,1,2,3,4]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4,1]=>4 [5,1,2,4,3]=>[3,4,2,1,5]=>[1,1,1,0,1,0,0,0,1,0]=>[3,1,1]=>3 [5,1,3,2,4]=>[4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4,1]=>4 [5,1,3,4,2]=>[2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0]=>[2,2,1]=>2 [5,1,4,2,3]=>[3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0]=>[3,1,1]=>3 [5,1,4,3,2]=>[2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0]=>[2,1,1,1]=>2 [5,2,1,3,4]=>[4,3,1,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4,1]=>4 [5,2,1,4,3]=>[3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0]=>[3,1,1]=>3 [5,2,3,1,4]=>[4,1,3,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4,1]=>4 [5,2,3,4,1]=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>[1,3,1]=>1 [5,2,4,1,3]=>[3,1,4,2,5]=>[1,1,1,0,0,1,0,0,1,0]=>[3,1,1]=>3 [5,2,4,3,1]=>[1,3,4,2,5]=>[1,0,1,1,0,1,0,0,1,0]=>[1,2,1,1]=>1 [5,3,1,2,4]=>[4,2,1,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4,1]=>4 [5,3,1,4,2]=>[2,4,1,3,5]=>[1,1,0,1,1,0,0,0,1,0]=>[2,2,1]=>2 [5,3,2,1,4]=>[4,1,2,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>[4,1]=>4 [5,3,2,4,1]=>[1,4,2,3,5]=>[1,0,1,1,1,0,0,0,1,0]=>[1,3,1]=>1 [5,3,4,1,2]=>[2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>[2,2,1]=>2 [5,3,4,2,1]=>[1,2,4,3,5]=>[1,0,1,0,1,1,0,0,1,0]=>[1,1,2,1]=>1 [5,4,1,2,3]=>[3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>[3,1,1]=>3 [5,4,1,3,2]=>[2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0]=>[2,1,1,1]=>2 [5,4,2,1,3]=>[3,1,2,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>[3,1,1]=>3 [5,4,2,3,1]=>[1,3,2,4,5]=>[1,0,1,1,0,0,1,0,1,0]=>[1,2,1,1]=>1 [5,4,3,1,2]=>[2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0]=>[2,1,1,1]=>2 [5,4,3,2,1]=>[1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1]=>1 [1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[4,1,1]=>4 [1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,1]=>3 [1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[3,1,2]=>3 [1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[4,1,1]=>4 [1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,1]=>3 [1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,1]=>4 [1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1]=>3 [1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[4,1,1]=>4 [1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,1]=>2 [1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2]=>2 [1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[4,1,1]=>4 [1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,1]=>2 [1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,1]=>4 [1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[2,2,1,1]=>2 [1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,1]=>3 [1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,1]=>2 [1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,3]=>2 [1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,1]=>3 [1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,1]=>2 [1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,1]=>3 [1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,2,1]=>2 [1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[3,1,2]=>3 [1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2]=>2 [1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,3]=>2 [1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,2]=>3 [1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2]=>2 [1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,2]=>3 [1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,2]=>2 [1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1,1]=>4 [1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,1]=>3 [1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,1]=>4 [1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1]=>3 [1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1,1]=>4 [1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1]=>2 [1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,1]=>4 [1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[2,2,1,1]=>2 [1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,1]=>3 [1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1]=>2 [1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,1]=>3 [1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,2,1]=>2 [1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,1]=>4 [1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1]=>3 [1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,1]=>4 [1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[2,2,1,1]=>2 [1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1]=>3 [1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1]=>2 [2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[4,1,1]=>4 [2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,1]=>3 [2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[3,1,2]=>3 [2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[4,1,1]=>4 [2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,1]=>3 [2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,1]=>4 [2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1]=>3 [2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[4,1,1]=>4 [2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,4,1]=>1 [2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2]=>1 [2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[4,1,1]=>4 [2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,4,1]=>1 [2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,1]=>4 [2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,1,1]=>1 [2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,1]=>3 [2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,4,1]=>1 [2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3]=>1 [2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,1]=>3 [2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,4,1]=>1 [2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,1]=>3 [2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,2,1]=>1 [2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[3,1,2]=>3 [2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2]=>1 [2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3]=>1 [2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,2]=>3 [2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2]=>1 [2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,2]=>3 [2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,1,2]=>1 [2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1,1]=>4 [2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,1]=>3 [2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,1]=>4 [2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1]=>3 [2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1,1]=>4 [2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,4,1]=>1 [2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,1]=>4 [2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,1,1]=>1 [2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,1]=>3 [2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,4,1]=>1 [2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,1]=>3 [2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,2,1]=>1 [2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,1]=>4 [2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1]=>3 [2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,1]=>4 [2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,1,1]=>1 [2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1]=>3 [2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1]=>1 [3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[4,1,1]=>4 [3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,1]=>2 [3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2]=>2 [3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[4,1,1]=>4 [3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,1]=>2 [3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,1]=>4 [3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>[2,2,1,1]=>2 [3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>[4,1,1]=>4 [3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,4,1]=>1 [3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2]=>1 [3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>[4,1,1]=>4 [3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,4,1]=>1 [3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,1]=>4 [3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,1,1]=>1 [3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,1]=>2 [3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,4,1]=>1 [3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4]=>2 [3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,4]=>1 [3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,1]=>2 [3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,4,1]=>1 [3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1]=>2 [3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,3,1]=>1 [3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2]=>2 [3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2]=>1 [3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4]=>2 [3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,4]=>1 [3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2]=>2 [3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2]=>1 [3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,2]=>2 [3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,2,2]=>1 [3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1,1]=>4 [3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1]=>2 [3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,1]=>4 [3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>[2,2,1,1]=>2 [3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1,1]=>4 [3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,4,1]=>1 [3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,1]=>4 [3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,1,1]=>1 [3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1]=>2 [3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,4,1]=>1 [3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1]=>2 [3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,3,1]=>1 [3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,1]=>4 [3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>[2,2,1,1]=>2 [3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,1]=>4 [3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,1,1]=>1 [3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>[2,2,1,1]=>2 [3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,2,1,1]=>1 [4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,1]=>3 [4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,1]=>2 [4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,3]=>2 [4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,1]=>3 [4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,1]=>2 [4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,1]=>3 [4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,2,1]=>2 [4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,1]=>3 [4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,4,1]=>1 [4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3]=>1 [4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,1]=>3 [4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,4,1]=>1 [4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,1]=>3 [4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,2,1]=>1 [4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,1]=>2 [4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>5 [4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>5 [4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>[1,4,1]=>1 [4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4]=>2 [4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,4]=>1 [4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,1]=>2 [4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>5 [4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>[1,4,1]=>1 [4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1]=>2 [4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,3,1]=>1 [4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,3]=>2 [4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3]=>1 [4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4]=>2 [4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,4]=>1 [4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3]=>3 [4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,3]=>2 [4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3]=>3 [4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3]=>1 [4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3]=>2 [4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,3]=>1 [4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,1]=>3 [4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1]=>2 [4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,1]=>3 [4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,2,1]=>2 [4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,1]=>3 [4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,4,1]=>1 [4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,1]=>3 [4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,2,1]=>1 [4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1]=>2 [4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>5 [4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>[1,4,1]=>1 [4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1]=>2 [4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,3,1]=>1 [4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1]=>3 [4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,2,1]=>2 [4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1]=>3 [4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,2,1]=>1 [4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,2,1]=>2 [4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,2,1]=>1 [5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[3,1,2]=>3 [5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2]=>2 [5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,3]=>2 [5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,2]=>3 [5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2]=>2 [5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,2]=>3 [5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,2]=>2 [5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>[3,1,2]=>3 [5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2]=>1 [5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3]=>1 [5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,2]=>3 [5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2]=>1 [5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,2]=>3 [5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,1,2]=>1 [5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2]=>2 [5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>4 [5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>4 [5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2]=>1 [5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4]=>2 [5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,4]=>1 [5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2]=>2 [5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>4 [5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2]=>1 [5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,2]=>2 [5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,2,2]=>1 [5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,3]=>2 [5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>3 [5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>3 [5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3]=>1 [5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>2 [5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>6 [5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>1 [5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4]=>2 [5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,4]=>1 [5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3]=>3 [5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,3]=>2 [5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3]=>3 [5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3]=>1 [5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3]=>2 [5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,3]=>1 [5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,2]=>4 [5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[3,1,2]=>3 [5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,2]=>4 [5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[2,2,2]=>2 [5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,2]=>3 [5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,2]=>2 [5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,2]=>4 [5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>[3,1,2]=>3 [5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,2]=>4 [5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2]=>1 [5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,2]=>3 [5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,1,2]=>1 [5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,2]=>4 [5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>[2,2,2]=>2 [5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>[4,2]=>4 [5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2]=>1 [5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2]=>2 [5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,2,2]=>1 [5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2]=>3 [5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,2]=>2 [5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2]=>3 [5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,1,2]=>1 [5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,2]=>2 [5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,2]=>1 [6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,1]=>4 [6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,1]=>3 [6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,1]=>4 [6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1]=>3 [6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,1]=>4 [6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,1]=>2 [6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,1]=>4 [6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[2,2,1,1]=>2 [6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,1]=>3 [6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,1]=>2 [6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,1]=>3 [6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,2,1]=>2 [6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,1]=>4 [6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1]=>3 [6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,1]=>4 [6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[2,2,1,1]=>2 [6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1]=>3 [6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1]=>2 [6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,1]=>4 [6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,1]=>3 [6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,1]=>4 [6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1]=>3 [6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,1]=>4 [6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,4,1]=>1 [6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,1]=>4 [6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,1,1]=>1 [6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,1]=>3 [6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,4,1]=>1 [6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,1]=>3 [6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,2,1]=>1 [6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,1]=>4 [6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1]=>3 [6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,1]=>4 [6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,1,1]=>1 [6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1]=>3 [6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1]=>1 [6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,1]=>4 [6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,1]=>2 [6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,1]=>4 [6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>[2,2,1,1]=>2 [6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,1]=>4 [6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,4,1]=>1 [6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,1]=>4 [6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,1,1]=>1 [6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,1]=>2 [6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,4,1]=>1 [6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1]=>2 [6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,3,1]=>1 [6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,1]=>4 [6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>[2,2,1,1]=>2 [6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,1]=>4 [6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,1,1]=>1 [6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>[2,2,1,1]=>2 [6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,2,1,1]=>1 [6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,1]=>3 [6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,1]=>2 [6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,1]=>3 [6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,2,1]=>2 [6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,1]=>3 [6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,4,1]=>1 [6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,1]=>3 [6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,2,1]=>1 [6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,1]=>2 [6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>5 [6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>[1,4,1]=>1 [6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1]=>2 [6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,3,1]=>1 [6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1]=>3 [6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,2,1]=>2 [6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1]=>3 [6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,1]=>1 [6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,2,1]=>2 [6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,2,1]=>1 [6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,1]=>4 [6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1]=>3 [6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,1]=>4 [6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[2,2,1,1]=>2 [6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1]=>3 [6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1]=>2 [6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,1]=>4 [6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1]=>3 [6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,1]=>4 [6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,1,1]=>1 [6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1]=>3 [6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1]=>1 [6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,1]=>4 [6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>[2,2,1,1]=>2 [6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,1]=>4 [6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,1,1]=>1 [6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>[2,2,1,1]=>2 [6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,2,1,1]=>1 [6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1]=>3 [6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1]=>2 [6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1]=>3 [6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1]=>1 [6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1]=>2 [6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1]=>1 [1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1]=>4 [1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>3 [1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,2,1]=>3 [1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,2]=>3 [1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1]=>4 [1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,1,1]=>3 [1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,2,1]=>3 [1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1]=>3 [1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1]=>4 [1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,1]=>2 [1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,2,2,1]=>2 [1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,2]=>2 [1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1]=>4 [1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,1]=>2 [1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,2,2,1]=>2 [1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,1,1]=>2 [1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1]=>2 [1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>3 [1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,1]=>2 [1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,3,1]=>2 [1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,2,2]=>2 [1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,1,1]=>3 [1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,1]=>2 [1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,3,1]=>2 [1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,1,1]=>2 [1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,2,1,1]=>2 [1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,2,1]=>3 [1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,2,2,1]=>2 [1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,3,1]=>2 [1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,3]=>2 [1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,2,1]=>3 [1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,2,2,1]=>2 [1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,3,1]=>2 [1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>3 [1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>2 [1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>3 [1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,2,1]=>2 [1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,2]=>3 [1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,2]=>2 [1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,2,2]=>2 [1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,3]=>2 [1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,2]=>3 [1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,2]=>2 [1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>3 [1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,2,2]=>2 [1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>3 [1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>2 [1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>3 [1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,2]=>2 [1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1]=>4 [1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,2,1,1]=>3 [1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,2,1]=>3 [1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1]=>3 [1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1]=>4 [1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,1]=>2 [1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,2,2,1]=>2 [1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,1]=>2 [1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1]=>2 [1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,2,1,1]=>3 [1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,1]=>2 [1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,3,1]=>2 [1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,1]=>2 [1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,2,1,1]=>2 [1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,2,1]=>3 [1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,2,2,1]=>2 [1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,3,1]=>2 [1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>3 [1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>2 [1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>3 [1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,2,1]=>2 [1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1]=>3 [1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,1]=>2 [1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,2,1,1,1]=>2 [1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,1]=>2 [1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,2,1,1]=>2 [1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1]=>4 [1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1]=>3 [1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1]=>4 [1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,2,1,1,1]=>2 [1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1]=>3 [1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1]=>2 [2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1]=>4 [2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>3 [2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,2,1]=>3 [2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,2]=>3 [2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1]=>4 [2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,1,1]=>3 [2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,2,1]=>3 [2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1]=>3 [2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1]=>4 [2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,1,1]=>1 [2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,2,1]=>1 [2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,2]=>1 [2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1]=>4 [2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,1,1]=>1 [2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,2,1]=>1 [2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,1,1]=>1 [2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1]=>1 [2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>3 [2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,1,1]=>1 [2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,1]=>1 [2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,2,2]=>1 [2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,1,1]=>3 [2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,1,1]=>1 [2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,3,1]=>1 [2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,1,1]=>1 [2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,2,1,1]=>1 [2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,2,1]=>3 [2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,2,1]=>1 [2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,1]=>1 [2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,3]=>1 [2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,2,1]=>3 [2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,2,1]=>1 [2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,3,1]=>1 [2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>3 [2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,2,1]=>1 [2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>3 [2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,2,1]=>1 [2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,2]=>3 [2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,2]=>1 [2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,2,2]=>1 [2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,3]=>1 [2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,2]=>3 [2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,2]=>1 [2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>3 [2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,2,2]=>1 [2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>3 [2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,2]=>1 [2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>3 [2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,2]=>1 [2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1]=>4 [2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,2,1,1]=>3 [2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,2,1]=>3 [2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1]=>3 [2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1]=>4 [2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,1,1]=>1 [2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,1]=>1 [2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,1,1]=>1 [2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,1,1,1]=>1 [2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,2,1,1]=>3 [2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,1,1]=>1 [2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,1]=>1 [2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,1,1]=>1 [2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,2,1,1]=>1 [2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,2,1]=>3 [2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,1]=>1 [2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,1]=>1 [2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>3 [2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,1]=>1 [2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>3 [2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,1,2,1]=>1 [2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1]=>3 [2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,1,1]=>1 [2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,1,1,1]=>1 [2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,1,1]=>1 [2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,2,1,1]=>1 [2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1]=>4 [2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1]=>3 [2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1]=>4 [2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1]=>1 [2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1]=>3 [2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1]=>1 [3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1]=>4 [3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,1]=>2 [3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,2,2,1]=>2 [3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,2]=>2 [3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1]=>4 [3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,1]=>2 [3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,2,2,1]=>2 [3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,1,1]=>2 [3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1]=>2 [3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1]=>4 [3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,1,1]=>1 [3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,2,1]=>1 [3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,2]=>1 [3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1]=>4 [3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,1,1]=>1 [3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,2,1]=>1 [3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,1,1]=>1 [3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1]=>4 [3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1]=>1 [3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,1]=>2 [3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,1,1]=>1 [3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,1]=>2 [3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,4,1]=>1 [3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,2]=>2 [3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,3,2]=>1 [3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,1]=>2 [3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,1,1]=>1 [3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,1]=>2 [3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,4,1]=>1 [3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,1,1]=>2 [3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,1,1]=>1 [3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,1]=>2 [3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,3,1,1]=>1 [3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,2,2,1]=>2 [3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,2,1]=>1 [3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,1]=>2 [3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,4,1]=>1 [3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,2,3]=>1 [3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,2,2,1]=>2 [3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,2,1]=>1 [3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,1]=>2 [3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,4,1]=>1 [3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>2 [3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,2,1]=>1 [3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>2 [3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,2,2,1]=>1 [3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,2]=>2 [3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,2]=>1 [3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,2]=>2 [3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,3,2]=>1 [3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,2,3]=>1 [3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,2]=>2 [3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,2]=>1 [3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,2]=>2 [3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,3,2]=>1 [3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>2 [3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,2]=>1 [3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>2 [3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,2,1,2]=>1 [3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1]=>4 [3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,1]=>2 [3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,2,2,1]=>2 [3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,1]=>2 [3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1]=>2 [3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1]=>4 [3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,1,1]=>1 [3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,1]=>1 [3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,1,1]=>1 [3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1]=>4 [3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,1,1,1]=>1 [3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,1]=>2 [3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,1,1]=>1 [3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1]=>2 [3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,4,1]=>1 [3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,1]=>2 [3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,1,1]=>1 [3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,1]=>2 [3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,3,1,1]=>1 [3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,2,2,1]=>2 [3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,1]=>1 [3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1]=>2 [3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,4,1]=>1 [3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>2 [3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,1]=>1 [3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>2 [3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,2,2,1]=>1 [3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,1]=>2 [3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,2,1,1,1]=>2 [3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,1,1]=>1 [3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1]=>4 [3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,1,1,1]=>1 [3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,1]=>2 [3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,1,1]=>1 [3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,1]=>2 [3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,3,1,1]=>1 [3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1]=>4 [3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,2,1,1,1]=>2 [3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1]=>4 [3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1]=>1 [3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1]=>2 [3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1]=>1 [4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>3 [4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,1]=>2 [4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,3,1]=>2 [4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,2,2]=>2 [4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,1,1]=>3 [4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,1]=>2 [4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,3,1]=>2 [4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,1,1]=>2 [4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,2,1,1]=>2 [4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>3 [4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,1,1]=>1 [4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,1]=>1 [4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,2,2]=>1 [4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,1,1]=>3 [4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,1,1]=>1 [4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,3,1]=>1 [4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,1,1]=>1 [4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,1,1]=>3 [4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,2,1,1]=>1 [4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,1]=>2 [4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>5 [4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>5 [4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>5 [4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,1,1]=>1 [4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,1]=>2 [4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,4,1]=>1 [4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,2]=>2 [4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,3,2]=>1 [4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,1]=>2 [4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>5 [4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>5 [4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,1,1]=>1 [4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,1]=>2 [4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,4,1]=>1 [4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,1,1]=>2 [4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>5 [4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,1,1]=>1 [4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,1]=>2 [4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,3,1,1]=>1 [4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,3,1]=>2 [4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,1]=>1 [4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,1]=>2 [4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,4,1]=>1 [4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4]=>1 [4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,4]=>1 [4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,3,1]=>2 [4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,3,1]=>1 [4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,1]=>2 [4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,4,1]=>1 [4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,3,1]=>3 [4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,3,1]=>2 [4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,3,1]=>3 [4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,3,1]=>1 [4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,1]=>2 [4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,3,1]=>1 [4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,2,2]=>2 [4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,2,2]=>1 [4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,2]=>2 [4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,3,2]=>1 [4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4]=>1 [4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,4]=>1 [4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>3 [4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,2,2]=>2 [4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>3 [4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,2,2]=>1 [4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,2]=>2 [4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,3,2]=>1 [4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,2]=>3 [4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,2,2]=>2 [4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,2]=>3 [4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,2,2]=>1 [4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,2,2]=>2 [4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,2,2]=>1 [4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,2,1,1]=>3 [4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,1]=>2 [4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,3,1]=>2 [4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,1]=>2 [4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,2,1,1]=>2 [4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,2,1,1]=>3 [4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,1,1]=>1 [4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,1]=>1 [4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,1,1]=>1 [4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,1,1]=>3 [4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,2,1,1]=>1 [4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,1]=>2 [4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>5 [4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,1,1]=>1 [4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1]=>2 [4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,4,1]=>1 [4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,1]=>2 [4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>5 [4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,1,1]=>1 [4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,1]=>2 [4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,3,1,1]=>1 [4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,3,1]=>2 [4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,1]=>1 [4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1]=>2 [4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,4,1]=>1 [4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,3,1]=>3 [4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,3,1]=>2 [4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,3,1]=>3 [4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,3,1]=>1 [4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,1]=>2 [4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,3,1]=>1 [4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,1]=>2 [4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,2,1,1]=>2 [4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,1,1]=>1 [4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,1,1]=>3 [4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,2,1,1]=>1 [4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,1]=>2 [4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>5 [4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,1,1]=>1 [4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,1]=>2 [4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,3,1,1]=>1 [4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,1]=>3 [4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,2,1,1]=>2 [4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,1]=>3 [4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,2,1,1]=>1 [4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,2,1,1]=>2 [4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,2,1,1]=>1 [5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,2,1]=>3 [5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,2,2,1]=>2 [5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,3,1]=>2 [5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,3]=>2 [5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,2,1]=>3 [5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,2,2,1]=>2 [5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,3,1]=>2 [5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>3 [5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>2 [5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>3 [5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,2,1]=>2 [5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,2,1]=>3 [5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,2,1]=>1 [5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,1]=>1 [5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,3]=>1 [5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,2,1]=>3 [5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,2,1]=>1 [5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,3,1]=>1 [5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>3 [5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,2,1]=>1 [5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>3 [5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,2,1]=>1 [5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,2,2,1]=>2 [5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>4 [5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>4 [5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>4 [5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,2,1]=>1 [5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,1]=>2 [5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,4,1]=>1 [5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,2,3]=>1 [5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,2,2,1]=>2 [5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>4 [5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>4 [5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,2,1]=>1 [5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,1]=>2 [5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,4,1]=>1 [5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>2 [5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>4 [5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,2,1]=>1 [5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>2 [5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,2,2,1]=>1 [5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,3,1]=>2 [5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>3 [5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>3 [5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>3 [5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,1]=>1 [5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>2 [5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>6 [5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>6 [5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>1 [5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>2 [5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>6 [5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>1 [5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,1]=>2 [5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,4,1]=>1 [5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4]=>1 [5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,4]=>1 [5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,3,1]=>2 [5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>3 [5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>3 [5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,3,1]=>1 [5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>2 [5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>6 [5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>1 [5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,1]=>2 [5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,4,1]=>1 [5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,3,1]=>3 [5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,3,1]=>2 [5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,3,1]=>3 [5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,3,1]=>1 [5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,1]=>2 [5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,3,1]=>1 [5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,3]=>2 [5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,3]=>1 [5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,2,3]=>1 [5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4]=>1 [5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,4]=>1 [5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,3]=>3 [5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,2,3]=>2 [5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,3]=>3 [5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,1,3]=>2 [5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,3]=>3 [5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,3]=>1 [5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,3]=>3 [5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,1,3]=>1 [5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,2,3]=>2 [5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,3]=>1 [5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,2,3]=>2 [5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,2,3]=>1 [5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,3]=>3 [5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,1,3]=>2 [5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,3]=>3 [5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,1,3]=>1 [5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,3]=>2 [5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,3]=>1 [5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,2,1]=>3 [5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,2,2,1]=>2 [5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,3,1]=>2 [5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>3 [5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>2 [5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>3 [5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,2,1]=>2 [5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,2,1]=>3 [5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,1]=>1 [5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,1]=>1 [5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>3 [5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,1]=>1 [5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>3 [5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,1,2,1]=>1 [5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,2,2,1]=>2 [5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>4 [5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,1]=>1 [5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1]=>2 [5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,4,1]=>1 [5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>2 [5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>4 [5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,1]=>1 [5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>2 [5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,2,2,1]=>1 [5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,3,1]=>2 [5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>3 [5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,1]=>1 [5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>2 [5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>6 [5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>1 [5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1]=>2 [5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,4,1]=>1 [5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,3,1]=>3 [5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,3,1]=>2 [5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,3,1]=>3 [5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,3,1]=>1 [5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,1]=>2 [5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,3,1]=>1 [5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,1]=>4 [5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,1]=>3 [5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,1]=>4 [5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,2,2,1]=>2 [5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,2,1]=>3 [5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,1,2,1]=>2 [5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,1]=>4 [5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,1]=>3 [5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,1]=>4 [5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,2,1]=>1 [5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,2,1]=>3 [5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,1,2,1]=>1 [5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,1]=>4 [5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,2,2,1]=>2 [5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,1]=>4 [5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,2,1]=>1 [5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,2,2,1]=>2 [5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,2,2,1]=>1 [5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,1]=>3 [5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,1,2,1]=>2 [5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,1]=>3 [5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,1,2,1]=>1 [5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,2,1]=>2 [5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,2,1]=>1 [6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,2]=>3 [6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,2]=>2 [6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,2,2]=>2 [6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,3]=>2 [6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,2]=>3 [6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,2]=>2 [6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,2,2]=>2 [6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>3 [6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>2 [6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>3 [6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,2]=>2 [6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,2]=>3 [6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,2]=>1 [6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,2,2]=>1 [6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,3]=>1 [6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,2]=>3 [6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,2]=>1 [6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,2,2]=>1 [6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>3 [6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,2]=>1 [6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>3 [6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,2]=>1 [6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,2]=>2 [6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>4 [6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>4 [6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,2]=>1 [6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,2]=>2 [6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,3,2]=>1 [6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,2,3]=>1 [6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,2]=>2 [6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>4 [6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,2]=>1 [6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,2]=>2 [6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,3,2]=>1 [6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>2 [6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>4 [6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,2]=>1 [6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>2 [6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,2,1,2]=>1 [6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,2,2]=>2 [6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>3 [6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>3 [6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,2,2]=>1 [6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>2 [6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>5 [6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>5 [6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>1 [6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>2 [6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>5 [6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>1 [6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,2]=>2 [6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,3,2]=>1 [6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4]=>1 [6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,4]=>1 [6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,2,2]=>2 [6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>3 [6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,2,2]=>1 [6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>2 [6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>5 [6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>1 [6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,2]=>2 [6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,3,2]=>1 [6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,2]=>3 [6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,2,2]=>2 [6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,2]=>3 [6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,2,2]=>1 [6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,2,2]=>2 [6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,2,2]=>1 [6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,3]=>2 [6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>3 [6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>3 [6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,3]=>1 [6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>2 [6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>4 [6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>4 [6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>1 [6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>4 [6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>1 [6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,3]=>2 [6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,2,3]=>1 [6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>2 [6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>3 [6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>3 [6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>1 [6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>2 [6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>7 [6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1 [6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>2 [6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1 [6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>3 [6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4]=>1 [6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>2 [6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,4]=>1 [6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,3]=>3 [6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,2,3]=>2 [6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,3]=>3 [6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,1,3]=>2 [6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,3]=>3 [6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,3]=>1 [6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,3]=>3 [6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,1,3]=>1 [6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,2,3]=>2 [6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>4 [6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,3]=>1 [6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,2,3]=>2 [6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,2,3]=>1 [6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,3]=>3 [6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,1,3]=>2 [6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,3]=>3 [6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,1,3]=>1 [6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,3]=>2 [6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,3]=>1 [6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,2]=>2 [6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,2,1,2]=>2 [6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,2]=>2 [6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,2,2]=>2 [6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,2,1,2]=>2 [6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,2]=>2 [6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2]=>1 [6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,1,2]=>1 [6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2]=>1 [6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,2,2]=>1 [6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,1,2]=>1 [6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,1,1,2]=>1 [6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,2]=>2 [6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,2,1,2]=>2 [6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2]=>1 [6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,1,2]=>1 [6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,2]=>2 [6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2]=>1 [6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,2]=>2 [6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,3,2]=>1 [6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,2,1,2]=>2 [6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2]=>4 [6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,1,2]=>1 [6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,2,1,2]=>2 [6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,2,1,2]=>1 [6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,2]=>2 [6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,2,2]=>2 [6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2]=>1 [6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,2,2]=>1 [6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,2]=>2 [6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>5 [6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2]=>1 [6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,2]=>2 [6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,3,2]=>1 [6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,2,2]=>2 [6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,2]=>3 [6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,2,2]=>1 [6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,2,2]=>2 [6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,2,2]=>1 [6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>4 [6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>4 [6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,2,1,2]=>2 [6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>2 [6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>4 [6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>4 [6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,1,2]=>1 [6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,1,1,2]=>1 [6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>4 [6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,2,1,2]=>2 [6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>4 [6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,1,2]=>1 [6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,2,1,2]=>2 [6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,2,1,2]=>1 [6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>2 [6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,2]=>3 [6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,2]=>1 [6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>2 [6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,2]=>1 [7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1]=>4 [7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,2,1,1]=>3 [7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,1]=>3 [7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1]=>3 [7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1]=>4 [7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,1,1]=>2 [7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,2,2,1]=>2 [7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,1]=>2 [7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1]=>2 [7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,2,1,1]=>3 [7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,1,1]=>2 [7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,1]=>2 [7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,1]=>2 [7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,2,1,1]=>2 [7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,1]=>3 [7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,2,2,1]=>2 [7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,1]=>2 [7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>3 [7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>2 [7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>3 [7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,2,1]=>2 [7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1,1]=>3 [7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,1,1]=>2 [7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,2,1,1,1]=>2 [7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,1,1]=>2 [7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,2,1,1]=>2 [7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1,1]=>3 [7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,2,1,1,1]=>2 [7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1]=>3 [7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1]=>2 [7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1]=>4 [7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,2,1,1]=>3 [7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,1]=>3 [7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1]=>3 [7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1]=>4 [7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,1,1]=>1 [7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,2,1]=>1 [7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,1,1]=>1 [7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,1,1,1]=>1 [7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,2,1,1]=>3 [7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,1,1]=>1 [7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,3,1]=>1 [7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,1,1]=>1 [7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,2,1,1]=>1 [7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,1]=>3 [7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,2,1]=>1 [7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,3,1]=>1 [7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>3 [7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,2,1]=>1 [7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>3 [7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,1,2,1]=>1 [7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1,1]=>3 [7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,4,1,1]=>1 [7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,1,1,1]=>1 [7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,4,1,1]=>1 [7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,2,1,1]=>1 [7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1,1]=>3 [7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,1,1,1]=>1 [7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1]=>3 [7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1]=>1 [7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1]=>4 [7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,1,1]=>2 [7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,2,2,1]=>2 [7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,1]=>2 [7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1]=>2 [7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1]=>4 [7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,1,1]=>1 [7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,2,1]=>1 [7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,1,1]=>1 [7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1]=>4 [7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,1,1,1]=>1 [7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,1,1]=>2 [7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,1,1]=>1 [7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1]=>2 [7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,4,1]=>1 [7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,1]=>2 [7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,1,1]=>1 [7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,1]=>2 [7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,3,1,1]=>1 [7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,2,2,1]=>2 [7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,2,1]=>1 [7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1]=>2 [7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,4,1]=>1 [7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>2 [7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,2,1]=>1 [7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>2 [7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,2,2,1]=>1 [7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,1,1]=>2 [7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,2,1,1,1]=>2 [7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,4,1,1]=>1 [7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,1,1,1]=>1 [7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,1,1]=>2 [7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,4,1,1]=>1 [7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,1]=>2 [7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,3,1,1]=>1 [7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,2,1,1,1]=>2 [7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1]=>4 [7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,1,1,1]=>1 [7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1]=>2 [7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,2,1,1,1]=>1 [7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,2,1,1]=>3 [7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,1,1]=>2 [7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,1]=>2 [7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,1]=>2 [7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,2,1,1]=>2 [7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,2,1,1]=>3 [7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,1,1]=>1 [7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,3,1]=>1 [7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,1,1]=>1 [7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,1,1]=>3 [7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,2,1,1]=>1 [7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,1,1]=>2 [7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>5 [7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,1,1]=>1 [7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1]=>2 [7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,4,1]=>1 [7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,1]=>2 [7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>5 [7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,1,1]=>1 [7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,1]=>2 [7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,3,1,1]=>1 [7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,1]=>2 [7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,3,1]=>1 [7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1]=>2 [7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,4,1]=>1 [7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,3,1]=>3 [7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,3,1]=>2 [7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,3,1]=>3 [7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,3,1]=>1 [7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,1]=>2 [7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,3,1]=>1 [7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,1,1]=>2 [7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,2,1,1]=>2 [7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,4,1,1]=>1 [7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,2,1,1]=>1 [7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,1,1]=>2 [7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>5 [7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,4,1,1]=>1 [7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,1]=>2 [7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,3,1,1]=>1 [7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,2,1,1]=>2 [7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,1]=>3 [7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,2,1,1]=>1 [7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,2,1,1]=>2 [7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,2,1,1]=>1 [7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,1]=>3 [7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,2,2,1]=>2 [7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,1]=>2 [7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>3 [7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>2 [7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>3 [7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,2,1]=>2 [7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,1]=>3 [7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,2,1]=>1 [7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,3,1]=>1 [7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>3 [7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,2,1]=>1 [7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>3 [7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,1,2,1]=>1 [7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,2,2,1]=>2 [7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>4 [7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,2,1]=>1 [7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1]=>2 [7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,4,1]=>1 [7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>2 [7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>4 [7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,2,1]=>1 [7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>2 [7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,2,2,1]=>1 [7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,1]=>2 [7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>3 [7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,3,1]=>1 [7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>2 [7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>6 [7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1 [7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1]=>2 [7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,4,1]=>1 [7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,3,1]=>3 [7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,3,1]=>2 [7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,3,1]=>3 [7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,3,1]=>1 [7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,1]=>2 [7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,3,1]=>1 [7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>4 [7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,1]=>3 [7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>4 [7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,2,2,1]=>2 [7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,2,1]=>3 [7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>2 [7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>4 [7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,1]=>3 [7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>4 [7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,2,1]=>1 [7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,2,1]=>3 [7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,1,2,1]=>1 [7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>4 [7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,2,2,1]=>2 [7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>4 [7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,2,1]=>1 [7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,2,2,1]=>2 [7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,2,2,1]=>1 [7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,1]=>3 [7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>2 [7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,1]=>3 [7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,1,2,1]=>1 [7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>2 [7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,2,1]=>1 [7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,1]=>2 [7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,2,1,1,1]=>2 [7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,1]=>2 [7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,2,1,1]=>2 [7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,2,1,1,1]=>2 [7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1]=>2 [7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,1,1]=>1 [7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,1,1,1]=>1 [7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,1,1]=>1 [7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,2,1,1]=>1 [7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,1,1,1]=>1 [7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1,1]=>1 [7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,1]=>2 [7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,2,1,1,1]=>2 [7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,1,1]=>1 [7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,1,1,1]=>1 [7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,1]=>2 [7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,1,1]=>1 [7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,1]=>2 [7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,3,1,1]=>1 [7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,2,1,1,1]=>2 [7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,1,1,1]=>1 [7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1]=>2 [7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,2,1,1,1]=>1 [7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,1]=>2 [7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,2,1,1]=>2 [7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,1,1]=>1 [7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,2,1,1]=>1 [7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,1]=>2 [7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>5 [7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,1,1]=>1 [7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,1]=>2 [7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,3,1,1]=>1 [7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,2,1,1]=>2 [7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,1]=>3 [7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,2,1,1]=>1 [7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,2,1,1]=>2 [7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,2,1,1]=>1 [7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,2,1,1,1]=>2 [7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>2 [7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1]=>1 [7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1,1]=>1 [7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,2,1,1,1]=>2 [7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>4 [7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1]=>1 [7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1]=>2 [7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,2,1,1,1]=>1 [7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>2 [7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>3 [7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1]=>1 [7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>2 [7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1]=>1 [8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1]=>1 [7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,2]=>1 [8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,2,1]=>1 [7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,3]=>1 [6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,3]=>1 [8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,2,1,1]=>1 [7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,2,2]=>1 [8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,3,1]=>1 [8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,3,1]=>1 [7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,4]=>1 [6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,4]=>1 [7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,4]=>1 [6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,4]=>1 [5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,4]=>1 [8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1]=>1 [7,8,6,4,5,3,2,1]=>[1,2,3,5,4,6,8,7]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,2,1,2]=>1 [8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,2,2,1]=>1 [7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,2,3]=>1 [6,7,8,4,5,3,2,1]=>[1,2,3,5,4,8,7,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,2,3]=>1 [8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,3,1,1]=>1 [7,8,5,4,6,3,2,1]=>[1,2,3,6,4,5,8,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,3,2]=>1 [8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,3,1,1]=>1 [7,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,3,2]=>1 [8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,4,1]=>1 [8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,4,1]=>1 [8,6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6,8]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,4,1]=>1 [8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,4,1]=>1 [8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,4,1]=>1 [7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [7,6,4,5,8,3,2,1]=>[1,2,3,8,5,4,6,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [6,7,4,5,8,3,2,1]=>[1,2,3,8,5,4,7,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [7,5,4,6,8,3,2,1]=>[1,2,3,8,6,4,5,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [7,4,5,6,8,3,2,1]=>[1,2,3,8,6,5,4,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [6,4,5,7,8,3,2,1]=>[1,2,3,8,7,5,4,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>1 [7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,2,1,1,2]=>1 [8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,2,1,2,1]=>1 [7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,2,1,3]=>1 [6,7,8,5,3,4,2,1]=>[1,2,4,3,5,8,7,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,2,1,3]=>1 [8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,2,2,1,1]=>1 [7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,2,2,2]=>1 [8,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,8]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,2,3,1]=>1 [7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,4]=>1 [6,7,5,8,3,4,2,1]=>[1,2,4,3,8,5,7,6]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,4]=>1 [7,5,6,8,3,4,2,1]=>[1,2,4,3,8,6,5,7]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,4]=>1 [6,5,7,8,3,4,2,1]=>[1,2,4,3,8,7,5,6]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,4]=>1 [5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,4]=>1 [8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,3,1,1,1]=>1 [7,8,6,4,3,5,2,1]=>[1,2,5,3,4,6,8,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,3,1,2]=>1 [8,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,8]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,3,2,1]=>1 [7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,3,3]=>1 [6,7,8,4,3,5,2,1]=>[1,2,5,3,4,8,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,3,3]=>1 [8,7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7,8]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,3,1,1,1]=>1 [7,8,6,3,4,5,2,1]=>[1,2,5,4,3,6,8,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,3,1,2]=>1 [7,6,8,3,4,5,2,1]=>[1,2,5,4,3,8,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,3,3]=>1 [6,7,8,3,4,5,2,1]=>[1,2,5,4,3,8,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,3,3]=>1 [8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>1 [7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,4,2]=>1 [8,7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7,8]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>1 [8,7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7,8]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>1 [8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>1 [8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>1 [8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [8,5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [8,6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [8,5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [8,6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [8,6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [8,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [8,5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,5,6,4,3,8,2,1]=>[1,2,8,3,4,6,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,6,7,4,3,8,2,1]=>[1,2,8,3,4,7,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,6,4,5,3,8,2,1]=>[1,2,8,3,5,4,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,7,4,5,3,8,2,1]=>[1,2,8,3,5,4,7,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,5,4,6,3,8,2,1]=>[1,2,8,3,6,4,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,4,5,6,3,8,2,1]=>[1,2,8,3,6,5,4,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,6,4,7,3,8,2,1]=>[1,2,8,3,7,4,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,4,5,7,3,8,2,1]=>[1,2,8,3,7,5,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,6,5,3,4,8,2,1]=>[1,2,8,4,3,5,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,7,5,3,4,8,2,1]=>[1,2,8,4,3,5,7,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,5,6,3,4,8,2,1]=>[1,2,8,4,3,6,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,5,7,3,4,8,2,1]=>[1,2,8,4,3,7,5,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,6,7,3,4,8,2,1]=>[1,2,8,4,3,7,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,6,4,3,5,8,2,1]=>[1,2,8,5,3,4,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,6,3,4,5,8,2,1]=>[1,2,8,5,4,3,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,5,4,3,6,8,2,1]=>[1,2,8,6,3,4,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,5,3,4,6,8,2,1]=>[1,2,8,6,4,3,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,3,4,5,6,8,2,1]=>[1,2,8,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,6,4,3,7,8,2,1]=>[1,2,8,7,3,4,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,4,5,3,7,8,2,1]=>[1,2,8,7,3,5,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,6,3,4,7,8,2,1]=>[1,2,8,7,4,3,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,3,4,5,7,8,2,1]=>[1,2,8,7,5,4,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,3,4,6,7,8,2,1]=>[1,2,8,7,6,4,3,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>1 [7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>1 [8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>1 [7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>1 [6,7,8,5,4,2,3,1]=>[1,3,2,4,5,8,7,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>1 [8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,1,2,1,1]=>1 [7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,1,2,2]=>1 [8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,1,3,1]=>1 [7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [6,7,5,8,4,2,3,1]=>[1,3,2,4,8,5,7,6]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [7,5,6,8,4,2,3,1]=>[1,3,2,4,8,6,5,7]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,2,1]=>1 [7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,2,3]=>1 [6,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,2,3]=>1 [8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>1 [8,7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7,8]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>1 [7,8,4,5,6,2,3,1]=>[1,3,2,6,5,4,8,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,2]=>1 [8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4,8]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,1]=>1 [7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [6,7,5,4,8,2,3,1]=>[1,3,2,8,4,5,7,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [7,6,4,5,8,2,3,1]=>[1,3,2,8,5,4,6,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [6,7,4,5,8,2,3,1]=>[1,3,2,8,5,4,7,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [7,5,4,6,8,2,3,1]=>[1,3,2,8,6,4,5,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [7,4,5,6,8,2,3,1]=>[1,3,2,8,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [6,5,4,7,8,2,3,1]=>[1,3,2,8,7,4,5,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [5,6,4,7,8,2,3,1]=>[1,3,2,8,7,4,6,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [6,4,5,7,8,2,3,1]=>[1,3,2,8,7,5,4,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [5,4,6,7,8,2,3,1]=>[1,3,2,8,7,6,4,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>1 [8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>1 [7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [6,7,8,5,3,2,4,1]=>[1,4,2,3,5,8,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [8,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,8]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,2]=>1 [8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,3,3,1]=>1 [7,6,5,8,3,2,4,1]=>[1,4,2,3,8,5,6,7]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [6,7,5,8,3,2,4,1]=>[1,4,2,3,8,5,7,6]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [7,5,6,8,3,2,4,1]=>[1,4,2,3,8,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [6,5,7,8,3,2,4,1]=>[1,4,2,3,8,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [5,6,7,8,3,2,4,1]=>[1,4,2,3,8,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>1 [7,6,8,5,2,3,4,1]=>[1,4,3,2,5,8,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,3,3,1]=>1 [7,6,5,8,2,3,4,1]=>[1,4,3,2,8,5,6,7]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [7,5,6,8,2,3,4,1]=>[1,4,3,2,8,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>1 [7,8,6,4,3,2,5,1]=>[1,5,2,3,4,6,8,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>1 [8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>1 [7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [6,7,8,4,3,2,5,1]=>[1,5,2,3,4,8,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>1 [7,8,6,3,4,2,5,1]=>[1,5,2,4,3,6,8,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>1 [8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>1 [7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [6,7,8,3,4,2,5,1]=>[1,5,2,4,3,8,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [8,7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7,8]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>1 [7,8,6,4,2,3,5,1]=>[1,5,3,2,4,6,8,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>1 [8,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>1 [7,6,8,4,2,3,5,1]=>[1,5,3,2,4,8,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [6,7,8,4,2,3,5,1]=>[1,5,3,2,4,8,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [8,7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7,8]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>1 [7,8,6,3,2,4,5,1]=>[1,5,4,2,3,6,8,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>1 [8,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>1 [7,6,8,3,2,4,5,1]=>[1,5,4,2,3,8,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [6,7,8,3,2,4,5,1]=>[1,5,4,2,3,8,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [8,7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7,8]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>1 [8,6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6,8]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>1 [6,7,8,2,3,4,5,1]=>[1,5,4,3,2,8,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [7,8,5,4,3,2,6,1]=>[1,6,2,3,4,5,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [7,8,5,3,4,2,6,1]=>[1,6,2,4,3,5,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [7,8,4,3,5,2,6,1]=>[1,6,2,5,3,4,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [8,7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [8,7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [8,7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [7,8,5,3,2,4,6,1]=>[1,6,4,2,3,5,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [8,7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [7,8,4,3,2,5,6,1]=>[1,6,5,2,3,4,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [8,7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [7,8,4,2,3,5,6,1]=>[1,6,5,3,2,4,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [7,8,3,2,4,5,6,1]=>[1,6,5,4,2,3,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [8,7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [7,8,2,3,4,5,6,1]=>[1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,7,4,3,2,8,1]=>[1,8,2,3,4,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,4,5,3,2,8,1]=>[1,8,2,3,5,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,5,6,3,2,8,1]=>[1,8,2,3,6,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,6,7,3,2,8,1]=>[1,8,2,3,7,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,7,3,4,2,8,1]=>[1,8,2,4,3,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,4,3,5,2,8,1]=>[1,8,2,5,3,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,3,4,6,2,8,1]=>[1,8,2,6,4,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,3,5,6,2,8,1]=>[1,8,2,6,5,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,4,3,7,2,8,1]=>[1,8,2,7,3,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,3,4,7,2,8,1]=>[1,8,2,7,4,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,3,4,7,2,8,1]=>[1,8,2,7,4,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,3,5,7,2,8,1]=>[1,8,2,7,5,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,4,5,7,2,8,1]=>[1,8,2,7,5,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,4,6,7,2,8,1]=>[1,8,2,7,6,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,5,4,2,3,8,1]=>[1,8,3,2,4,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,7,4,2,3,8,1]=>[1,8,3,2,4,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,4,5,2,3,8,1]=>[1,8,3,2,5,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,4,5,2,3,8,1]=>[1,8,3,2,5,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,4,6,2,3,8,1]=>[1,8,3,2,6,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,5,7,2,3,8,1]=>[1,8,3,2,7,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,6,7,2,3,8,1]=>[1,8,3,2,7,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,5,3,2,4,8,1]=>[1,8,4,2,3,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,5,3,2,4,8,1]=>[1,8,4,2,3,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,6,3,2,4,8,1]=>[1,8,4,2,3,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,7,3,2,4,8,1]=>[1,8,4,2,3,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,7,3,2,4,8,1]=>[1,8,4,2,3,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,5,2,3,4,8,1]=>[1,8,4,3,2,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,5,2,3,4,8,1]=>[1,8,4,3,2,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,7,2,3,4,8,1]=>[1,8,4,3,2,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,7,2,3,4,8,1]=>[1,8,4,3,2,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,4,3,2,5,8,1]=>[1,8,5,2,3,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,4,2,3,5,8,1]=>[1,8,5,3,2,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,4,2,3,5,8,1]=>[1,8,5,3,2,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,3,2,4,5,8,1]=>[1,8,5,4,2,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,3,2,4,5,8,1]=>[1,8,5,4,2,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,4,3,2,6,8,1]=>[1,8,6,2,3,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,3,4,2,6,8,1]=>[1,8,6,2,4,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,3,5,2,6,8,1]=>[1,8,6,2,5,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,4,2,3,6,8,1]=>[1,8,6,3,2,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,5,2,3,6,8,1]=>[1,8,6,3,2,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,3,2,4,6,8,1]=>[1,8,6,4,2,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,2,3,5,6,8,1]=>[1,8,6,5,3,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,3,2,4,5,6,8,1]=>[1,8,6,5,4,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,2,3,4,5,6,8,1]=>[1,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,4,3,2,7,8,1]=>[1,8,7,2,3,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,5,3,2,7,8,1]=>[1,8,7,2,3,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,3,5,2,7,8,1]=>[1,8,7,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,4,5,2,7,8,1]=>[1,8,7,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,4,2,3,7,8,1]=>[1,8,7,3,2,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,5,2,3,7,8,1]=>[1,8,7,3,2,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,3,2,4,7,8,1]=>[1,8,7,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,3,2,4,7,8,1]=>[1,8,7,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,2,3,4,7,8,1]=>[1,8,7,4,3,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,3,2,5,7,8,1]=>[1,8,7,5,2,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,2,3,5,7,8,1]=>[1,8,7,5,3,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,3,4,5,7,8,1]=>[1,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,2,3,6,7,8,1]=>[1,8,7,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,2,3,6,7,8,1]=>[1,8,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,2,4,6,7,8,1]=>[1,8,7,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,2,5,6,7,8,1]=>[1,8,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,3,5,6,7,8,1]=>[1,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>2 [7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>2 [8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>2 [7,6,8,5,4,3,1,2]=>[2,1,3,4,5,8,6,7]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>2 [6,7,8,5,4,3,1,2]=>[2,1,3,4,5,8,7,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>2 [8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>2 [7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>2 [8,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,8]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>2 [7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [6,7,5,8,4,3,1,2]=>[2,1,3,4,8,5,7,6]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [7,5,6,8,4,3,1,2]=>[2,1,3,4,8,6,5,7]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [6,5,7,8,4,3,1,2]=>[2,1,3,4,8,7,5,6]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [8,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,8]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>2 [7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,2,1,2]=>2 [6,7,8,4,5,3,1,2]=>[2,1,3,5,4,8,7,6]=>[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>2 [8,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,8]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>2 [7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,2]=>2 [7,8,4,5,6,3,1,2]=>[2,1,3,6,5,4,8,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,2]=>2 [7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [6,7,5,4,8,3,1,2]=>[2,1,3,8,4,5,7,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [7,5,6,4,8,3,1,2]=>[2,1,3,8,4,6,5,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [6,5,7,4,8,3,1,2]=>[2,1,3,8,4,7,5,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,6,7,4,8,3,1,2]=>[2,1,3,8,4,7,6,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [7,6,4,5,8,3,1,2]=>[2,1,3,8,5,4,6,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [6,7,4,5,8,3,1,2]=>[2,1,3,8,5,4,7,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [7,5,4,6,8,3,1,2]=>[2,1,3,8,6,4,5,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [7,4,5,6,8,3,1,2]=>[2,1,3,8,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [6,5,4,7,8,3,1,2]=>[2,1,3,8,7,4,5,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,6,4,7,8,3,1,2]=>[2,1,3,8,7,4,6,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [6,4,5,7,8,3,1,2]=>[2,1,3,8,7,5,4,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,4,6,7,8,3,1,2]=>[2,1,3,8,7,6,4,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [4,5,6,7,8,3,1,2]=>[2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>2 [7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [6,7,8,5,3,4,1,2]=>[2,1,4,3,5,8,7,6]=>[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [8,7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7,8]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>2 [7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,1,2]=>2 [8,7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7,8]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>2 [7,8,6,3,4,5,1,2]=>[2,1,5,4,3,6,8,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,1,2]=>2 [8,6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6,8]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,2,1]=>2 [6,7,8,3,4,5,1,2]=>[2,1,5,4,3,8,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [8,7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7,8]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,6,7,4,3,8,1,2]=>[2,1,8,3,4,7,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,5,4,6,3,8,1,2]=>[2,1,8,3,6,4,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,5,4,7,3,8,1,2]=>[2,1,8,3,7,4,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,4,5,7,3,8,1,2]=>[2,1,8,3,7,5,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,5,6,7,3,8,1,2]=>[2,1,8,3,7,6,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,7,5,3,4,8,1,2]=>[2,1,8,4,3,5,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,5,7,3,4,8,1,2]=>[2,1,8,4,3,7,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,6,7,3,4,8,1,2]=>[2,1,8,4,3,7,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,6,4,3,5,8,1,2]=>[2,1,8,5,3,4,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,7,4,3,5,8,1,2]=>[2,1,8,5,3,4,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,6,3,4,5,8,1,2]=>[2,1,8,5,4,3,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,4,5,3,6,8,1,2]=>[2,1,8,6,3,5,4,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,4,6,8,1,2]=>[2,1,8,6,4,3,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,3,4,5,6,8,1,2]=>[2,1,8,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,6,4,3,7,8,1,2]=>[2,1,8,7,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,4,5,3,7,8,1,2]=>[2,1,8,7,3,5,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,4,6,3,7,8,1,2]=>[2,1,8,7,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,5,6,3,7,8,1,2]=>[2,1,8,7,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,5,3,4,7,8,1,2]=>[2,1,8,7,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,5,3,6,7,8,1,2]=>[2,1,8,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,3,4,6,7,8,1,2]=>[2,1,8,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [7,8,6,5,4,2,1,3]=>[3,1,2,4,5,6,8,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>3 [8,6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6,8]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>3 [7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>3 [8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>3 [7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [6,7,5,8,4,2,1,3]=>[3,1,2,4,8,5,7,6]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [7,5,6,8,4,2,1,3]=>[3,1,2,4,8,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [6,5,7,8,4,2,1,3]=>[3,1,2,4,8,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [5,6,7,8,4,2,1,3]=>[3,1,2,4,8,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>3 [8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,3,2]=>3 [8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>3 [8,5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>3 [7,6,5,4,8,2,1,3]=>[3,1,2,8,4,5,6,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,7,5,4,8,2,1,3]=>[3,1,2,8,4,5,7,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,5,7,4,8,2,1,3]=>[3,1,2,8,4,7,5,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,7,4,5,8,2,1,3]=>[3,1,2,8,5,4,7,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [7,5,4,6,8,2,1,3]=>[3,1,2,8,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [7,4,5,6,8,2,1,3]=>[3,1,2,8,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,5,4,7,8,2,1,3]=>[3,1,2,8,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,6,4,7,8,2,1,3]=>[3,1,2,8,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,4,5,7,8,2,1,3]=>[3,1,2,8,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,4,6,7,8,2,1,3]=>[3,1,2,8,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [4,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [7,8,6,5,4,1,2,3]=>[3,2,1,4,5,6,8,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>3 [8,6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6,8]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>3 [7,6,8,5,4,1,2,3]=>[3,2,1,4,5,8,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>3 [7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [6,7,5,8,4,1,2,3]=>[3,2,1,4,8,5,7,6]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [7,5,6,8,4,1,2,3]=>[3,2,1,4,8,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [6,5,7,8,4,1,2,3]=>[3,2,1,4,8,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [8,7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7,8]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,3,2]=>3 [8,6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>3 [8,5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>3 [8,5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>3 [8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>3 [7,6,5,4,8,1,2,3]=>[3,2,1,8,4,5,6,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,7,5,4,8,1,2,3]=>[3,2,1,8,4,5,7,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [7,5,6,4,8,1,2,3]=>[3,2,1,8,4,6,5,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,5,7,4,8,1,2,3]=>[3,2,1,8,4,7,5,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,6,7,4,8,1,2,3]=>[3,2,1,8,4,7,6,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [7,6,4,5,8,1,2,3]=>[3,2,1,8,5,4,6,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [7,5,4,6,8,1,2,3]=>[3,2,1,8,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [7,4,5,6,8,1,2,3]=>[3,2,1,8,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,6,4,7,8,1,2,3]=>[3,2,1,8,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,4,5,7,8,1,2,3]=>[3,2,1,8,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,4,6,7,8,1,2,3]=>[3,2,1,8,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,7,8,5,3,2,1,4]=>[4,1,2,3,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>4 [8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>4 [7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>4 [8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>4 [8,5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>4 [7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6,8]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>4 [7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,5,7,8,2,3,1,4]=>[4,1,3,2,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,8,6,5,3,1,2,4]=>[4,2,1,3,5,6,8,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [8,6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6,8]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [7,6,8,5,3,1,2,4]=>[4,2,1,3,5,8,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,7,8,5,3,1,2,4]=>[4,2,1,3,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>4 [8,7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7,8]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>4 [7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>4 [8,6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>4 [8,5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>4 [7,6,5,8,3,1,2,4]=>[4,2,1,3,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,5,7,8,3,1,2,4]=>[4,2,1,3,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,8,6,5,2,1,3,4]=>[4,3,1,2,5,6,8,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [8,6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6,8]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [6,7,8,5,2,1,3,4]=>[4,3,1,2,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>4 [8,7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7,8]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>4 [7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>4 [7,6,5,8,2,1,3,4]=>[4,3,1,2,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,7,5,8,2,1,3,4]=>[4,3,1,2,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>4 [8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>4 [7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>4 [8,6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>4 [8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>4 [7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [7,6,8,4,3,2,1,5]=>[5,1,2,3,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,4,3,2,1,5]=>[5,1,2,3,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,8,6,3,4,2,1,5]=>[5,1,2,4,3,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [8,6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [6,7,8,3,4,2,1,5]=>[5,1,2,4,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,8,6,4,2,3,1,5]=>[5,1,3,2,4,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [8,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [7,6,8,4,2,3,1,5]=>[5,1,3,2,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,4,2,3,1,5]=>[5,1,3,2,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,6,8,3,2,4,1,5]=>[5,1,4,2,3,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,3,2,4,1,5]=>[5,1,4,2,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,8,6,2,3,4,1,5]=>[5,1,4,3,2,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [6,7,8,2,3,4,1,5]=>[5,1,4,3,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [6,7,8,4,3,1,2,5]=>[5,2,1,3,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,8,6,3,4,1,2,5]=>[5,2,1,4,3,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [8,6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [7,6,8,3,4,1,2,5]=>[5,2,1,4,3,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,3,4,1,2,5]=>[5,2,1,4,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,8,6,4,2,1,3,5]=>[5,3,1,2,4,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [8,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [7,6,8,4,2,1,3,5]=>[5,3,1,2,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,4,2,1,3,5]=>[5,3,1,2,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,8,6,4,1,2,3,5]=>[5,3,2,1,4,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [8,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [7,6,8,4,1,2,3,5]=>[5,3,2,1,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,4,1,2,3,5]=>[5,3,2,1,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,6,8,3,2,1,4,5]=>[5,4,1,2,3,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,3,2,1,4,5]=>[5,4,1,2,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,6,8,2,3,1,4,5]=>[5,4,1,3,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,2,3,1,4,5]=>[5,4,1,3,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [6,7,8,3,1,2,4,5]=>[5,4,2,1,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [8,6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [7,6,8,2,1,3,4,5]=>[5,4,3,1,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,2,1,3,4,5]=>[5,4,3,1,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [7,8,6,1,2,3,4,5]=>[5,4,3,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,3,4,2,1,6]=>[6,1,2,4,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,3,4,5,2,1,6]=>[6,1,2,5,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,5,4,2,3,1,6]=>[6,1,3,2,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,3,2,4,1,6]=>[6,1,4,2,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,4,3,2,5,1,6]=>[6,1,5,2,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,3,2,4,5,1,6]=>[6,1,5,4,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,3,4,5,1,6]=>[6,1,5,4,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,4,3,5,1,2,6]=>[6,2,1,5,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,3,4,5,1,2,6]=>[6,2,1,5,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,4,2,1,3,6]=>[6,3,1,2,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,4,5,2,1,3,6]=>[6,3,1,2,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,4,1,2,3,6]=>[6,3,2,1,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,4,5,1,2,3,6]=>[6,3,2,1,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,2,3,1,4,6]=>[6,4,1,3,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,3,1,2,4,6]=>[6,4,2,1,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,2,1,3,4,6]=>[6,4,3,1,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,5,1,2,3,4,6]=>[6,4,3,2,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,4,3,2,1,5,6]=>[6,5,1,2,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,3,4,2,1,5,6]=>[6,5,1,2,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,3,2,4,1,5,6]=>[6,5,1,4,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,2,3,4,1,5,6]=>[6,5,1,4,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,4,3,1,2,5,6]=>[6,5,2,1,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,4,1,2,3,5,6]=>[6,5,3,2,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,3,2,1,4,5,6]=>[6,5,4,1,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,3,1,4,5,6]=>[6,5,4,1,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,3,1,2,4,5,6]=>[6,5,4,2,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,2,1,3,4,5,6]=>[6,5,4,3,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,4,3,2,1,8]=>[8,1,2,3,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,6,3,2,1,8]=>[8,1,2,3,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,7,3,2,1,8]=>[8,1,2,3,7,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,3,4,2,1,8]=>[8,1,2,4,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,3,4,2,1,8]=>[8,1,2,4,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,3,4,2,1,8]=>[8,1,2,4,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,3,4,2,1,8]=>[8,1,2,4,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,3,5,2,1,8]=>[8,1,2,5,3,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,3,6,2,1,8]=>[8,1,2,6,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,5,6,2,1,8]=>[8,1,2,6,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,3,7,2,1,8]=>[8,1,2,7,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,4,7,2,1,8]=>[8,1,2,7,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,5,7,2,1,8]=>[8,1,2,7,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,5,7,2,1,8]=>[8,1,2,7,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,4,2,3,1,8]=>[8,1,3,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,4,2,3,1,8]=>[8,1,3,2,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,5,2,3,1,8]=>[8,1,3,2,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,6,2,3,1,8]=>[8,1,3,2,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,7,2,3,1,8]=>[8,1,3,2,7,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,7,2,3,1,8]=>[8,1,3,2,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,7,2,3,1,8]=>[8,1,3,2,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,3,2,4,1,8]=>[8,1,4,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,3,2,4,1,8]=>[8,1,4,2,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,3,2,4,1,8]=>[8,1,4,2,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,3,2,4,1,8]=>[8,1,4,2,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,2,3,4,1,8]=>[8,1,4,3,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,2,3,4,1,8]=>[8,1,4,3,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,2,3,4,1,8]=>[8,1,4,3,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,2,3,4,1,8]=>[8,1,4,3,2,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,3,2,5,1,8]=>[8,1,5,2,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,2,3,5,1,8]=>[8,1,5,3,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,2,4,5,1,8]=>[8,1,5,4,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,3,4,5,1,8]=>[8,1,5,4,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,2,3,4,5,1,8]=>[8,1,5,4,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,3,2,6,1,8]=>[8,1,6,2,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,5,2,6,1,8]=>[8,1,6,2,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,2,3,6,1,8]=>[8,1,6,3,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,2,4,6,1,8]=>[8,1,6,4,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,3,2,7,1,8]=>[8,1,7,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,4,2,7,1,8]=>[8,1,7,2,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,5,2,7,1,8]=>[8,1,7,2,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,2,3,7,1,8]=>[8,1,7,3,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,2,3,7,1,8]=>[8,1,7,3,2,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,2,3,7,1,8]=>[8,1,7,3,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,2,3,7,1,8]=>[8,1,7,3,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,2,4,7,1,8]=>[8,1,7,4,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,2,4,7,1,8]=>[8,1,7,4,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,3,4,7,1,8]=>[8,1,7,4,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,2,5,7,1,8]=>[8,1,7,5,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,2,5,7,1,8]=>[8,1,7,5,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,3,5,7,1,8]=>[8,1,7,5,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,4,5,7,1,8]=>[8,1,7,5,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,2,6,7,1,8]=>[8,1,7,6,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,3,6,7,1,8]=>[8,1,7,6,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,4,6,7,1,8]=>[8,1,7,6,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,4,6,7,1,8]=>[8,1,7,6,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,5,6,7,1,8]=>[8,1,7,6,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,5,6,7,1,8]=>[8,1,7,6,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,4,3,1,2,8]=>[8,2,1,3,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,4,3,1,2,8]=>[8,2,1,3,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,6,3,1,2,8]=>[8,2,1,3,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,7,3,1,2,8]=>[8,2,1,3,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,7,3,1,2,8]=>[8,2,1,3,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,7,3,1,2,8]=>[8,2,1,3,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,3,4,1,2,8]=>[8,2,1,4,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,3,4,1,2,8]=>[8,2,1,4,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,3,4,1,2,8]=>[8,2,1,4,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,3,6,1,2,8]=>[8,2,1,6,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,4,6,1,2,8]=>[8,2,1,6,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,5,6,1,2,8]=>[8,2,1,6,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,3,7,1,2,8]=>[8,2,1,7,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,4,7,1,2,8]=>[8,2,1,7,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,4,7,1,2,8]=>[8,2,1,7,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,5,7,1,2,8]=>[8,2,1,7,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,6,7,1,2,8]=>[8,2,1,7,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,6,7,1,2,8]=>[8,2,1,7,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,6,7,1,2,8]=>[8,2,1,7,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,6,7,1,2,8]=>[8,2,1,7,6,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,4,2,1,3,8]=>[8,3,1,2,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,4,2,1,3,8]=>[8,3,1,2,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,4,2,1,3,8]=>[8,3,1,2,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,5,2,1,3,8]=>[8,3,1,2,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,5,2,1,3,8]=>[8,3,1,2,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,6,2,1,3,8]=>[8,3,1,2,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,6,2,1,3,8]=>[8,3,1,2,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,7,2,1,3,8]=>[8,3,1,2,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,7,2,1,3,8]=>[8,3,1,2,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,7,2,1,3,8]=>[8,3,1,2,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,4,1,2,3,8]=>[8,3,2,1,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,4,1,2,3,8]=>[8,3,2,1,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,4,1,2,3,8]=>[8,3,2,1,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,7,1,2,3,8]=>[8,3,2,1,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,7,1,2,3,8]=>[8,3,2,1,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,3,2,1,4,8]=>[8,4,1,2,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,2,3,1,4,8]=>[8,4,1,3,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,2,3,1,4,8]=>[8,4,1,3,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,2,3,1,4,8]=>[8,4,1,3,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,2,3,1,4,8]=>[8,4,1,3,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,3,1,2,4,8]=>[8,4,2,1,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,3,1,2,4,8]=>[8,4,2,1,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,3,1,2,4,8]=>[8,4,2,1,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,3,1,2,4,8]=>[8,4,2,1,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,2,1,3,4,8]=>[8,4,3,1,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,2,1,3,4,8]=>[8,4,3,1,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,2,1,3,4,8]=>[8,4,3,1,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,1,2,3,4,8]=>[8,4,3,2,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,1,2,3,4,8]=>[8,4,3,2,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,4,2,1,5,8]=>[8,5,1,2,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,4,2,1,5,8]=>[8,5,1,2,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,2,3,1,5,8]=>[8,5,1,3,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,2,3,1,5,8]=>[8,5,1,3,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,2,4,1,5,8]=>[8,5,1,4,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,2,4,1,5,8]=>[8,5,1,4,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,4,1,2,5,8]=>[8,5,2,1,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,2,1,3,5,8]=>[8,5,3,1,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,1,2,3,5,8]=>[8,5,3,2,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,2,1,4,5,8]=>[8,5,4,1,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,3,1,4,5,8]=>[8,5,4,1,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,2,3,1,4,5,8]=>[8,5,4,1,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,1,2,4,5,8]=>[8,5,4,2,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,1,2,4,5,8]=>[8,5,4,2,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,2,3,4,5,8]=>[8,5,4,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,3,2,1,6,8]=>[8,6,1,2,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,4,2,1,6,8]=>[8,6,1,2,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,5,2,1,6,8]=>[8,6,1,2,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,5,2,1,6,8]=>[8,6,1,2,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,2,3,1,6,8]=>[8,6,1,3,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,2,4,1,6,8]=>[8,6,1,4,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,3,4,1,6,8]=>[8,6,1,4,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,2,5,1,6,8]=>[8,6,1,5,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,2,5,1,6,8]=>[8,6,1,5,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,3,5,1,6,8]=>[8,6,1,5,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,3,1,2,6,8]=>[8,6,2,1,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,5,1,2,6,8]=>[8,6,2,1,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,5,1,2,6,8]=>[8,6,2,1,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,2,1,3,6,8]=>[8,6,3,1,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,2,1,5,6,8]=>[8,6,5,1,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,3,1,5,6,8]=>[8,6,5,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,4,1,5,6,8]=>[8,6,5,1,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,1,2,5,6,8]=>[8,6,5,2,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,1,2,5,6,8]=>[8,6,5,2,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,1,4,5,6,8]=>[8,6,5,4,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,1,4,5,6,8]=>[8,6,5,4,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,4,2,1,7,8]=>[8,7,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,5,2,1,7,8]=>[8,7,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,5,2,1,7,8]=>[8,7,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,6,2,1,7,8]=>[8,7,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,2,3,1,7,8]=>[8,7,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,2,3,1,7,8]=>[8,7,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,2,3,1,7,8]=>[8,7,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,2,4,1,7,8]=>[8,7,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,3,4,1,7,8]=>[8,7,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,3,4,1,7,8]=>[8,7,1,4,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,2,6,1,7,8]=>[8,7,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,4,6,1,7,8]=>[8,7,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,5,6,1,7,8]=>[8,7,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,5,6,1,7,8]=>[8,7,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,3,1,2,7,8]=>[8,7,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,3,1,2,7,8]=>[8,7,2,1,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,3,1,2,7,8]=>[8,7,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,4,1,2,7,8]=>[8,7,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,5,1,2,7,8]=>[8,7,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,5,1,2,7,8]=>[8,7,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,2,1,3,7,8]=>[8,7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,1,2,3,7,8]=>[8,7,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,1,2,3,7,8]=>[8,7,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,2,1,4,7,8]=>[8,7,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,3,1,4,7,8]=>[8,7,4,1,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,1,2,4,7,8]=>[8,7,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,1,2,4,7,8]=>[8,7,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,2,1,5,7,8]=>[8,7,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,4,1,5,7,8]=>[8,7,5,1,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,4,1,5,7,8]=>[8,7,5,1,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,1,4,5,7,8]=>[8,7,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,3,1,6,7,8]=>[8,7,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,3,1,6,7,8]=>[8,7,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,1,2,6,7,8]=>[8,7,6,2,1,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,2,3,6,7,8]=>[8,7,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,2,1]=>1 [5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,2,1,1]=>1 [5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,2,2]=>1 [6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,3,1]=>1 [5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,3,1]=>1 [5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,4]=>1 [4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,2,1,1,1]=>1 [4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,2,1,2]=>1 [4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,2,2,1]=>1 [4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,2,3]=>1 [4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,2,3]=>1 [5,4,8,7,6,3,2,1]=>[1,2,3,6,7,8,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,3,1,1]=>1 [5,4,7,8,6,3,2,1]=>[1,2,3,6,8,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,3,2]=>1 [4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,3,1,1]=>1 [4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,3,2]=>1 [6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,4,1]=>1 [5,6,4,8,7,3,2,1]=>[1,2,3,7,8,4,6,5]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,4,1]=>1 [4,6,5,8,7,3,2,1]=>[1,2,3,7,8,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,4,1]=>1 [5,4,6,8,7,3,2,1]=>[1,2,3,7,8,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,4,1]=>1 [4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,4,1]=>1 [5,7,6,4,8,3,2,1]=>[1,2,3,8,4,6,7,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [4,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [4,6,7,5,8,3,2,1]=>[1,2,3,8,5,7,6,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [5,4,7,6,8,3,2,1]=>[1,2,3,8,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [4,5,7,6,8,3,2,1]=>[1,2,3,8,6,7,5,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1,1]=>1 [3,7,8,6,5,4,2,1]=>[1,2,4,5,6,8,7,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,2,1,1,2]=>1 [3,6,8,7,5,4,2,1]=>[1,2,4,5,7,8,6,3]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,2,1,2,1]=>1 [3,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,3]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,2,1,3]=>1 [3,6,7,8,5,4,2,1]=>[1,2,4,5,8,7,6,3]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,2,1,3]=>1 [3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,2,2,1,1]=>1 [3,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,3]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,2,2,2]=>1 [3,6,5,8,7,4,2,1]=>[1,2,4,7,8,5,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,2,3,1]=>1 [3,5,6,8,7,4,2,1]=>[1,2,4,7,8,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,2,3,1]=>1 [3,7,6,5,8,4,2,1]=>[1,2,4,8,5,6,7,3]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,3,1,1,1]=>1 [4,3,7,8,6,5,2,1]=>[1,2,5,6,8,7,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,3,1,2]=>1 [4,3,6,8,7,5,2,1]=>[1,2,5,7,8,6,3,4]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,3,2,1]=>1 [4,3,7,6,8,5,2,1]=>[1,2,5,8,6,7,3,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [4,3,6,7,8,5,2,1]=>[1,2,5,8,7,6,3,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,3,1,1,1]=>1 [3,4,7,8,6,5,2,1]=>[1,2,5,6,8,7,4,3]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,3,1,2]=>1 [3,4,7,6,8,5,2,1]=>[1,2,5,8,6,7,4,3]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [3,4,6,7,8,5,2,1]=>[1,2,5,8,7,6,4,3]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,4,1,1]=>1 [5,4,3,7,8,6,2,1]=>[1,2,6,8,7,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [4,5,3,8,7,6,2,1]=>[1,2,6,7,8,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,4,1,1]=>1 [4,5,3,7,8,6,2,1]=>[1,2,6,8,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [3,5,4,8,7,6,2,1]=>[1,2,6,7,8,4,5,3]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,4,1,1]=>1 [3,5,4,7,8,6,2,1]=>[1,2,6,8,7,4,5,3]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [4,3,5,8,7,6,2,1]=>[1,2,6,7,8,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,4,1,1]=>1 [4,3,5,7,8,6,2,1]=>[1,2,6,8,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,4,1,1]=>1 [6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [5,6,4,3,8,7,2,1]=>[1,2,7,8,3,4,6,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [4,6,5,3,8,7,2,1]=>[1,2,7,8,3,5,6,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [5,4,6,3,8,7,2,1]=>[1,2,7,8,3,6,4,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [4,5,6,3,8,7,2,1]=>[1,2,7,8,3,6,5,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [3,6,5,4,8,7,2,1]=>[1,2,7,8,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [3,4,6,5,8,7,2,1]=>[1,2,7,8,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [5,4,3,6,8,7,2,1]=>[1,2,7,8,6,3,4,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [4,5,3,6,8,7,2,1]=>[1,2,7,8,6,3,5,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [3,5,4,6,8,7,2,1]=>[1,2,7,8,6,4,5,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [4,3,5,6,8,7,2,1]=>[1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [3,4,5,6,8,7,2,1]=>[1,2,7,8,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [5,7,6,4,3,8,2,1]=>[1,2,8,3,4,6,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,7,6,5,3,8,2,1]=>[1,2,8,3,5,6,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,6,7,5,3,8,2,1]=>[1,2,8,3,5,7,6,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,4,7,6,3,8,2,1]=>[1,2,8,3,6,7,4,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,5,7,6,4,8,2,1]=>[1,2,8,4,6,7,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,5,6,7,4,8,2,1]=>[1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,3,7,6,5,8,2,1]=>[1,2,8,5,6,7,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,4,7,6,5,8,2,1]=>[1,2,8,5,6,7,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,5,3,7,6,8,2,1]=>[1,2,8,6,7,3,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,3,5,7,6,8,2,1]=>[1,2,8,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,4,5,7,6,8,2,1]=>[1,2,8,6,7,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,5,6,4,7,8,2,1]=>[1,2,8,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,3,6,5,7,8,2,1]=>[1,2,8,7,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,4,6,5,7,8,2,1]=>[1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1,1]=>1 [2,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,1,2]=>1 [2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,1,2,1]=>1 [2,7,6,8,5,4,3,1]=>[1,3,4,5,8,6,7,2]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,3]=>1 [2,6,7,8,5,4,3,1]=>[1,3,4,5,8,7,6,2]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,3]=>1 [2,5,8,7,6,4,3,1]=>[1,3,4,6,7,8,5,2]=>[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,1,2,1,1]=>1 [2,7,6,5,8,4,3,1]=>[1,3,4,8,5,6,7,2]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [2,5,7,6,8,4,3,1]=>[1,3,4,8,6,7,5,2]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,2,1,1,1]=>1 [2,4,7,8,6,5,3,1]=>[1,3,5,6,8,7,4,2]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,2,1,2]=>1 [2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,2,2,1]=>1 [2,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [2,5,4,7,8,6,3,1]=>[1,3,6,8,7,4,5,2]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [2,4,5,8,7,6,3,1]=>[1,3,6,7,8,5,4,2]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,1,1]=>1 [2,4,5,7,8,6,3,1]=>[1,3,6,8,7,5,4,2]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [2,6,5,4,8,7,3,1]=>[1,3,7,8,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [2,5,6,4,8,7,3,1]=>[1,3,7,8,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [2,4,6,5,8,7,3,1]=>[1,3,7,8,5,6,4,2]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [2,4,5,6,8,7,3,1]=>[1,3,7,8,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [2,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,5,7,6,4,8,3,1]=>[1,3,8,4,6,7,5,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,4,7,6,5,8,3,1]=>[1,3,8,5,6,7,4,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,4,6,7,5,8,3,1]=>[1,3,8,5,7,6,4,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,5,4,7,6,8,3,1]=>[1,3,8,6,7,4,5,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,6,5,4,7,8,3,1]=>[1,3,8,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,5,6,4,7,8,3,1]=>[1,3,8,7,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,4,6,5,7,8,3,1]=>[1,3,8,7,5,6,4,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1,1]=>1 [3,2,7,8,6,5,4,1]=>[1,4,5,6,8,7,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,1,2]=>1 [3,2,6,7,8,5,4,1]=>[1,4,5,8,7,6,2,3]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [3,2,6,5,8,7,4,1]=>[1,4,7,8,5,6,2,3]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [3,2,7,6,5,8,4,1]=>[1,4,8,5,6,7,2,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,2,6,7,5,8,4,1]=>[1,4,8,5,7,6,2,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,2,5,7,6,8,4,1]=>[1,4,8,6,7,5,2,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,3,8,7,6,5,4,1]=>[1,4,5,6,7,8,3,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1,1]=>1 [2,3,6,8,7,5,4,1]=>[1,4,5,7,8,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,3,1,2,1]=>1 [2,3,7,6,8,5,4,1]=>[1,4,5,8,6,7,3,2]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [2,3,6,7,8,5,4,1]=>[1,4,5,8,7,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [2,3,5,8,7,6,4,1]=>[1,4,6,7,8,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,3,2,1,1]=>1 [2,3,5,7,8,6,4,1]=>[1,4,6,8,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [2,3,6,5,8,7,4,1]=>[1,4,7,8,5,6,3,2]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [2,3,7,6,5,8,4,1]=>[1,4,8,5,6,7,3,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,3,6,7,5,8,4,1]=>[1,4,8,5,7,6,3,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,3,5,7,6,8,4,1]=>[1,4,8,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1]=>1 [4,3,2,7,8,6,5,1]=>[1,5,6,8,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [4,3,2,6,8,7,5,1]=>[1,5,7,8,6,2,3,4]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [4,3,2,6,7,8,5,1]=>[1,5,8,7,6,2,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,4,2,8,7,6,5,1]=>[1,5,6,7,8,2,4,3]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1]=>1 [3,4,2,6,8,7,5,1]=>[1,5,7,8,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [3,4,2,6,7,8,5,1]=>[1,5,8,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [2,4,3,8,7,6,5,1]=>[1,5,6,7,8,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1]=>1 [2,4,3,6,8,7,5,1]=>[1,5,7,8,6,3,4,2]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [2,4,3,7,6,8,5,1]=>[1,5,8,6,7,3,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [2,4,3,6,7,8,5,1]=>[1,5,8,7,6,3,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,2,4,8,7,6,5,1]=>[1,5,6,7,8,4,2,3]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1]=>1 [3,2,4,7,8,6,5,1]=>[1,5,6,8,7,4,2,3]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [3,2,4,6,8,7,5,1]=>[1,5,7,8,6,4,2,3]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [3,2,4,7,6,8,5,1]=>[1,5,8,6,7,4,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1]=>1 [2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,5,3,2,8,7,6,1]=>[1,6,7,8,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [4,5,3,2,7,8,6,1]=>[1,6,8,7,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,5,4,2,8,7,6,1]=>[1,6,7,8,2,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [4,3,5,2,8,7,6,1]=>[1,6,7,8,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [4,3,5,2,7,8,6,1]=>[1,6,8,7,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,4,5,2,7,8,6,1]=>[1,6,8,7,2,5,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [2,4,5,3,7,8,6,1]=>[1,6,8,7,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,3,5,4,8,7,6,1]=>[1,6,7,8,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [2,3,5,4,7,8,6,1]=>[1,6,8,7,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,3,2,5,8,7,6,1]=>[1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [4,3,2,5,7,8,6,1]=>[1,6,8,7,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,4,2,5,7,8,6,1]=>[1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,4,3,5,8,7,6,1]=>[1,6,7,8,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [2,4,3,5,7,8,6,1]=>[1,6,8,7,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [4,6,5,3,2,8,7,1]=>[1,7,8,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,4,6,3,2,8,7,1]=>[1,7,8,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [4,5,6,3,2,8,7,1]=>[1,7,8,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,6,5,4,2,8,7,1]=>[1,7,8,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [4,3,6,5,2,8,7,1]=>[1,7,8,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,5,4,6,2,8,7,1]=>[1,7,8,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,6,5,4,3,8,7,1]=>[1,7,8,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,5,4,6,3,8,7,1]=>[1,7,8,3,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,4,5,6,3,8,7,1]=>[1,7,8,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,2,5,6,4,8,7,1]=>[1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,4,3,6,5,8,7,1]=>[1,7,8,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,2,4,6,5,8,7,1]=>[1,7,8,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,3,4,6,5,8,7,1]=>[1,7,8,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [4,5,3,2,6,8,7,1]=>[1,7,8,6,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,4,5,2,6,8,7,1]=>[1,7,8,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,4,5,3,6,8,7,1]=>[1,7,8,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,3,5,4,6,8,7,1]=>[1,7,8,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,4,2,5,6,8,7,1]=>[1,7,8,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,4,3,5,6,8,7,1]=>[1,7,8,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,2,4,5,6,8,7,1]=>[1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,7,6,4,3,2,8,1]=>[1,8,2,3,4,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,6,5,3,2,8,1]=>[1,8,2,3,5,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,7,6,3,2,8,1]=>[1,8,2,3,6,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,7,5,4,2,8,1]=>[1,8,2,4,5,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,7,6,4,2,8,1]=>[1,8,2,4,6,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,5,7,4,2,8,1]=>[1,8,2,4,7,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,6,7,4,2,8,1]=>[1,8,2,4,7,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,7,6,5,2,8,1]=>[1,8,2,5,6,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,6,7,5,2,8,1]=>[1,8,2,5,7,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,7,6,5,2,8,1]=>[1,8,2,5,6,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,6,7,5,2,8,1]=>[1,8,2,5,7,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,3,7,6,2,8,1]=>[1,8,2,6,7,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,4,7,6,2,8,1]=>[1,8,2,6,7,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,5,7,6,2,8,1]=>[1,8,2,6,7,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,5,4,7,2,8,1]=>[1,8,2,7,4,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,6,4,7,2,8,1]=>[1,8,2,7,4,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,4,6,7,2,8,1]=>[1,8,2,7,6,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,7,6,5,4,3,8,1]=>[1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,7,6,4,3,8,1]=>[1,8,3,4,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,6,7,4,3,8,1]=>[1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,7,6,5,3,8,1]=>[1,8,3,5,6,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,6,7,5,3,8,1]=>[1,8,3,5,7,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,5,7,6,3,8,1]=>[1,8,3,6,7,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,5,4,7,3,8,1]=>[1,8,3,7,4,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,6,4,7,3,8,1]=>[1,8,3,7,4,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,6,5,7,3,8,1]=>[1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,4,6,7,3,8,1]=>[1,8,3,7,6,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,5,6,7,3,8,1]=>[1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,6,7,5,4,8,1]=>[1,8,4,5,7,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,5,7,6,4,8,1]=>[1,8,4,6,7,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,5,6,7,4,8,1]=>[1,8,4,7,6,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,5,7,6,4,8,1]=>[1,8,4,6,7,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,2,7,6,5,8,1]=>[1,8,5,6,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,2,6,7,5,8,1]=>[1,8,5,7,6,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,2,7,6,5,8,1]=>[1,8,5,6,7,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,2,6,7,5,8,1]=>[1,8,5,7,6,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,3,7,6,5,8,1]=>[1,8,5,6,7,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,4,7,6,5,8,1]=>[1,8,5,6,7,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,4,7,6,5,8,1]=>[1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,4,6,7,5,8,1]=>[1,8,5,7,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,5,2,7,6,8,1]=>[1,8,6,7,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,2,5,7,6,8,1]=>[1,8,6,7,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,3,5,7,6,8,1]=>[1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,4,5,7,6,8,1]=>[1,8,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,6,5,3,2,7,8,1]=>[1,8,7,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,5,4,2,7,8,1]=>[1,8,7,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,6,5,2,7,8,1]=>[1,8,7,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,6,5,2,7,8,1]=>[1,8,7,2,5,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,4,6,2,7,8,1]=>[1,8,7,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,6,4,3,7,8,1]=>[1,8,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,5,6,3,7,8,1]=>[1,8,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,6,5,4,7,8,1]=>[1,8,7,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,2,6,5,7,8,1]=>[1,8,7,5,6,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,3,6,5,7,8,1]=>[1,8,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,4,6,5,7,8,1]=>[1,8,7,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,4,2,6,7,8,1]=>[1,8,7,6,2,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,5,3,6,7,8,1]=>[1,8,7,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,5,4,6,7,8,1]=>[1,8,7,6,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,5,4,6,7,8,1]=>[1,8,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,3,5,6,7,8,1]=>[1,8,7,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1,1]=>2 [1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,2]=>2 [1,6,8,7,5,4,3,2]=>[2,3,4,5,7,8,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,1,2,1]=>2 [1,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,3]=>2 [1,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,3]=>2 [1,5,8,7,6,4,3,2]=>[2,3,4,6,7,8,5,1]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,1,2,1,1]=>2 [1,5,7,8,6,4,3,2]=>[2,3,4,6,8,7,5,1]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,2,2]=>2 [1,6,5,8,7,4,3,2]=>[2,3,4,7,8,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,3,1]=>2 [1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [1,6,7,5,8,4,3,2]=>[2,3,4,8,5,7,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [1,5,7,6,8,4,3,2]=>[2,3,4,8,6,7,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [1,6,5,7,8,4,3,2]=>[2,3,4,8,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,2,1,1,1]=>2 [1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,2,1,2]=>2 [1,4,6,8,7,5,3,2]=>[2,3,5,7,8,6,4,1]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,2,2,1]=>2 [1,4,7,6,8,5,3,2]=>[2,3,5,8,6,7,4,1]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [1,4,6,7,8,5,3,2]=>[2,3,5,8,7,6,4,1]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [1,5,4,7,8,6,3,2]=>[2,3,6,8,7,4,5,1]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [1,4,5,8,7,6,3,2]=>[2,3,6,7,8,5,4,1]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,3,1,1]=>2 [1,5,4,6,8,7,3,2]=>[2,3,7,8,6,4,5,1]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,5,7,6,4,8,3,2]=>[2,3,8,4,6,7,5,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,6,5,7,4,8,3,2]=>[2,3,8,4,7,5,6,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,4,7,6,5,8,3,2]=>[2,3,8,5,6,7,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,4,6,7,5,8,3,2]=>[2,3,8,5,7,6,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,4,5,7,6,8,3,2]=>[2,3,8,6,7,5,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,3,8,7,6,5,4,2]=>[2,4,5,6,7,8,3,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1,1]=>2 [1,3,7,8,6,5,4,2]=>[2,4,5,6,8,7,3,1]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,1,2]=>2 [1,3,6,8,7,5,4,2]=>[2,4,5,7,8,6,3,1]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,2,1,2,1]=>2 [1,3,5,8,7,6,4,2]=>[2,4,6,7,8,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,2,2,1,1]=>2 [1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [1,3,6,5,8,7,4,2]=>[2,4,7,8,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [1,3,5,6,8,7,4,2]=>[2,4,7,8,6,5,3,1]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [1,3,7,6,5,8,4,2]=>[2,4,8,5,6,7,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,3,6,7,5,8,4,2]=>[2,4,8,5,7,6,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,3,5,7,6,8,4,2]=>[2,4,8,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,3,6,5,7,8,4,2]=>[2,4,8,7,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,4,3,8,7,6,5,2]=>[2,5,6,7,8,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1]=>2 [1,4,3,7,8,6,5,2]=>[2,5,6,8,7,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [1,4,3,6,8,7,5,2]=>[2,5,7,8,6,3,4,1]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [1,4,3,7,6,8,5,2]=>[2,5,8,6,7,3,4,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1]=>2 [1,3,4,7,6,8,5,2]=>[2,5,8,6,7,4,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,3,4,6,7,8,5,2]=>[2,5,8,7,6,4,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,5,4,3,7,8,6,2]=>[2,6,8,7,3,4,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,3,5,4,7,8,6,2]=>[2,6,8,7,4,5,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,4,3,5,8,7,6,2]=>[2,6,7,8,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [1,4,3,5,7,8,6,2]=>[2,6,8,7,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,3,4,5,8,7,6,2]=>[2,6,7,8,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,6,5,4,3,8,7,2]=>[2,7,8,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,5,6,4,3,8,7,2]=>[2,7,8,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,5,4,6,3,8,7,2]=>[2,7,8,3,6,4,5,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,3,6,5,4,8,7,2]=>[2,7,8,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,4,5,3,6,8,7,2]=>[2,7,8,6,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,3,4,5,6,8,7,2]=>[2,7,8,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,7,5,4,3,8,2]=>[2,8,3,4,5,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,5,7,4,3,8,2]=>[2,8,3,4,7,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,7,6,5,3,8,2]=>[2,8,3,5,6,7,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,6,7,5,3,8,2]=>[2,8,3,5,7,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,4,7,6,3,8,2]=>[2,8,3,6,7,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,5,7,6,3,8,2]=>[2,8,3,6,7,5,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,5,4,7,3,8,2]=>[2,8,3,7,4,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,6,5,7,3,8,2]=>[2,8,3,7,5,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,5,6,7,3,8,2]=>[2,8,3,7,6,5,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,7,6,5,4,8,2]=>[2,8,4,5,6,7,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,5,7,6,4,8,2]=>[2,8,4,6,7,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,5,6,7,4,8,2]=>[2,8,4,7,6,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,3,6,7,5,8,2]=>[2,8,5,7,6,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,4,7,6,5,8,2]=>[2,8,5,6,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,4,6,7,5,8,2]=>[2,8,5,7,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,5,4,7,6,8,2]=>[2,8,6,7,4,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,3,5,7,6,8,2]=>[2,8,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,4,5,7,6,8,2]=>[2,8,6,7,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,5,4,3,7,8,2]=>[2,8,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,6,4,3,7,8,2]=>[2,8,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,6,5,4,7,8,2]=>[2,8,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,5,6,4,7,8,2]=>[2,8,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,3,6,5,7,8,2]=>[2,8,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,4,6,5,7,8,2]=>[2,8,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,4,3,6,7,8,2]=>[2,8,7,6,3,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,5,4,6,7,8,2]=>[2,8,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1]=>3 [2,1,7,8,6,5,4,3]=>[3,4,5,6,8,7,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,2]=>3 [2,1,6,8,7,5,4,3]=>[3,4,5,7,8,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,1,2,1]=>3 [2,1,7,6,8,5,4,3]=>[3,4,5,8,6,7,1,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [2,1,6,7,8,5,4,3]=>[3,4,5,8,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [2,1,5,8,7,6,4,3]=>[3,4,6,7,8,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,1,2,1,1]=>3 [2,1,5,7,8,6,4,3]=>[3,4,6,8,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [2,1,6,5,8,7,4,3]=>[3,4,7,8,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [2,1,5,6,8,7,4,3]=>[3,4,7,8,6,5,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [2,1,7,6,5,8,4,3]=>[3,4,8,5,6,7,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,1,6,7,5,8,4,3]=>[3,4,8,5,7,6,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,1,6,5,7,8,4,3]=>[3,4,8,7,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,1,5,6,7,8,4,3]=>[3,4,8,7,6,5,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>3 [2,1,4,7,8,6,5,3]=>[3,5,6,8,7,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [2,1,4,6,8,7,5,3]=>[3,5,7,8,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [2,1,4,7,6,8,5,3]=>[3,5,8,6,7,4,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,1,4,6,7,8,5,3]=>[3,5,8,7,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,1,4,5,8,7,6,3]=>[3,6,7,8,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [2,1,4,5,7,8,6,3]=>[3,6,8,7,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [2,1,6,5,4,8,7,3]=>[3,7,8,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,1,4,6,5,8,7,3]=>[3,7,8,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,5,6,7,4,8,3]=>[3,8,4,7,6,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,4,7,6,5,8,3]=>[3,8,5,6,7,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,4,5,7,6,8,3]=>[3,8,6,7,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,6,5,4,7,8,3]=>[3,8,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,5,6,4,7,8,3]=>[3,8,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,4,6,5,7,8,3]=>[3,8,7,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,5,4,6,7,8,3]=>[3,8,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1]=>3 [1,2,7,8,6,5,4,3]=>[3,4,5,6,8,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,2]=>3 [1,2,6,8,7,5,4,3]=>[3,4,5,7,8,6,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,1,2,1]=>3 [1,2,7,6,8,5,4,3]=>[3,4,5,8,6,7,2,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [1,2,5,8,7,6,4,3]=>[3,4,6,7,8,5,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,1,2,1,1]=>3 [1,2,7,6,5,8,4,3]=>[3,4,8,5,6,7,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,2,6,5,7,8,4,3]=>[3,4,8,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>3 [1,2,4,7,8,6,5,3]=>[3,5,6,8,7,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [1,2,4,7,6,8,5,3]=>[3,5,8,6,7,4,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [1,2,5,4,8,7,6,3]=>[3,6,7,8,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [1,2,4,5,7,8,6,3]=>[3,6,8,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,2,6,5,4,8,7,3]=>[3,7,8,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,2,4,6,5,8,7,3]=>[3,7,8,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,2,4,5,6,8,7,3]=>[3,7,8,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,2,7,6,5,4,8,3]=>[3,8,4,5,6,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,6,5,7,4,8,3]=>[3,8,4,7,5,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,4,6,7,5,8,3]=>[3,8,5,7,6,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,4,5,7,6,8,3]=>[3,8,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,6,5,4,7,8,3]=>[3,8,7,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,4,6,5,7,8,3]=>[3,8,7,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1]=>4 [3,2,1,7,8,6,5,4]=>[4,5,6,8,7,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [3,2,1,6,8,7,5,4]=>[4,5,7,8,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [3,2,1,7,6,8,5,4]=>[4,5,8,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,2,1,6,7,8,5,4]=>[4,5,8,7,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,2,1,5,8,7,6,4]=>[4,6,7,8,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [3,2,1,5,7,8,6,4]=>[4,6,8,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,2,1,5,6,8,7,4]=>[4,7,8,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,2,1,7,6,5,8,4]=>[4,8,5,6,7,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,1,6,7,5,8,4]=>[4,8,5,7,6,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,1,5,7,6,8,4]=>[4,8,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,1,6,5,7,8,4]=>[4,8,7,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,1,5,6,7,8,4]=>[4,8,7,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1]=>4 [2,3,1,7,6,8,5,4]=>[4,5,8,6,7,1,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,3,1,6,7,8,5,4]=>[4,5,8,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,3,1,5,8,7,6,4]=>[4,6,7,8,5,1,3,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [2,3,1,6,5,8,7,4]=>[4,7,8,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [2,3,1,5,6,8,7,4]=>[4,7,8,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [2,3,1,7,6,5,8,4]=>[4,8,5,6,7,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,1,6,7,5,8,4]=>[4,8,5,7,6,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,1,5,7,6,8,4]=>[4,8,6,7,5,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,1,6,5,7,8,4]=>[4,8,7,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,1,5,6,7,8,4]=>[4,8,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1]=>4 [1,3,2,7,6,8,5,4]=>[4,5,8,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,3,2,5,8,7,6,4]=>[4,6,7,8,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [1,3,2,5,7,8,6,4]=>[4,6,8,7,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,3,2,6,5,8,7,4]=>[4,7,8,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [1,3,2,7,6,5,8,4]=>[4,8,5,6,7,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,2,5,7,6,8,4]=>[4,8,6,7,5,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,2,6,5,7,8,4]=>[4,8,7,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,2,5,6,7,8,4]=>[4,8,7,6,5,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1]=>4 [2,1,3,7,8,6,5,4]=>[4,5,6,8,7,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [2,1,3,6,8,7,5,4]=>[4,5,7,8,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [2,1,3,6,7,8,5,4]=>[4,5,8,7,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,1,3,5,7,8,6,4]=>[4,6,8,7,5,3,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,1,3,7,6,5,8,4]=>[4,8,5,6,7,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,3,6,7,5,8,4]=>[4,8,5,7,6,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,3,5,7,6,8,4]=>[4,8,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,3,6,5,7,8,4]=>[4,8,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,3,5,6,7,8,4]=>[4,8,7,6,5,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1]=>4 [1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [1,2,3,6,8,7,5,4]=>[4,5,7,8,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [1,2,3,7,6,8,5,4]=>[4,5,8,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,2,3,6,7,8,5,4]=>[4,5,8,7,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,2,3,5,8,7,6,4]=>[4,6,7,8,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [1,2,3,5,7,8,6,4]=>[4,6,8,7,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,2,3,6,5,8,7,4]=>[4,7,8,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [1,2,3,5,6,8,7,4]=>[4,7,8,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [1,2,3,7,6,5,8,4]=>[4,8,5,6,7,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,3,6,7,5,8,4]=>[4,8,5,7,6,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,3,5,7,6,8,4]=>[4,8,6,7,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,4,2,1,6,8,7,5]=>[5,7,8,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,4,2,1,7,6,8,5]=>[5,8,6,7,1,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,2,1,6,7,8,5]=>[5,8,7,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [2,4,3,1,7,8,6,5]=>[5,6,8,7,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,3,1,6,7,8,5]=>[5,8,7,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [3,2,4,1,7,8,6,5]=>[5,6,8,7,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,4,1,6,7,8,5]=>[5,8,7,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [2,3,4,1,7,8,6,5]=>[5,6,8,7,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,3,4,1,6,8,7,5]=>[5,7,8,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,3,4,1,7,6,8,5]=>[5,8,6,7,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [1,4,3,2,6,8,7,5]=>[5,7,8,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,4,3,2,7,6,8,5]=>[5,8,6,7,2,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,3,2,6,7,8,5]=>[5,8,7,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [1,3,4,2,7,8,6,5]=>[5,6,8,7,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,3,4,2,7,6,8,5]=>[5,8,6,7,2,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [1,2,4,3,6,8,7,5]=>[5,7,8,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,2,4,3,7,6,8,5]=>[5,8,6,7,3,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [3,2,1,4,7,8,6,5]=>[5,6,8,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,2,1,4,6,8,7,5]=>[5,7,8,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,2,1,4,7,6,8,5]=>[5,8,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,1,4,6,7,8,5]=>[5,8,7,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [2,3,1,4,7,6,8,5]=>[5,8,6,7,4,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [1,3,2,4,6,8,7,5]=>[5,7,8,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,3,2,4,7,6,8,5]=>[5,8,6,7,4,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [2,1,3,4,7,8,6,5]=>[5,6,8,7,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,1,3,4,7,6,8,5]=>[5,8,6,7,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [1,2,3,4,7,8,6,5]=>[5,6,8,7,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,2,3,4,6,8,7,5]=>[5,7,8,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,3,2,1,8,7,6]=>[6,7,8,1,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,5,4,2,1,8,7,6]=>[6,7,8,1,2,4,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,4,5,2,1,8,7,6]=>[6,7,8,1,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,5,4,3,1,8,7,6]=>[6,7,8,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,5,4,3,1,7,8,6]=>[6,8,7,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,5,3,1,8,7,6]=>[6,7,8,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,4,5,3,1,7,8,6]=>[6,8,7,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,2,5,4,1,7,8,6]=>[6,8,7,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,5,4,1,8,7,6]=>[6,7,8,1,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,3,2,5,1,8,7,6]=>[6,7,8,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,3,2,5,1,7,8,6]=>[6,8,7,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,2,5,1,8,7,6]=>[6,7,8,1,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,4,3,5,1,8,7,6]=>[6,7,8,1,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,2,4,5,1,8,7,6]=>[6,7,8,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,2,4,5,1,7,8,6]=>[6,8,7,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,4,5,1,8,7,6]=>[6,7,8,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,3,4,5,1,7,8,6]=>[6,8,7,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,5,4,3,2,7,8,6]=>[6,8,7,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,5,3,2,8,7,6]=>[6,7,8,2,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,3,5,4,2,8,7,6]=>[6,7,8,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,3,5,4,2,7,8,6]=>[6,8,7,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,4,5,2,8,7,6]=>[6,7,8,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,3,4,5,2,7,8,6]=>[6,8,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,5,4,3,8,7,6]=>[6,7,8,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,1,5,4,3,7,8,6]=>[6,8,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,2,5,4,3,7,8,6]=>[6,8,7,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,4,5,3,8,7,6]=>[6,7,8,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,2,4,5,3,7,8,6]=>[6,8,7,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,3,1,5,4,7,8,6]=>[6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,3,2,5,4,7,8,6]=>[6,8,7,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,3,5,4,8,7,6]=>[6,7,8,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,1,3,5,4,7,8,6]=>[6,8,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,5,4,8,7,6]=>[6,7,8,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,2,3,5,4,7,8,6]=>[6,8,7,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,2,1,5,8,7,6]=>[6,7,8,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,4,2,1,5,7,8,6]=>[6,8,7,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,3,1,5,7,8,6]=>[6,8,7,5,1,3,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,4,1,5,8,7,6]=>[6,7,8,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,2,4,1,5,7,8,6]=>[6,8,7,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,4,1,5,8,7,6]=>[6,7,8,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,3,4,1,5,7,8,6]=>[6,8,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,1,4,3,5,7,8,6]=>[6,8,7,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,4,3,5,7,8,6]=>[6,8,7,5,3,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,2,1,4,5,7,8,6]=>[6,8,7,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,3,4,5,8,7,6]=>[6,7,8,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,1,3,4,5,7,8,6]=>[6,8,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,4,3,2,1,8,7]=>[7,8,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,3,2,1,8,7]=>[7,8,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,6,5,4,2,1,8,7]=>[7,8,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,6,5,2,1,8,7]=>[7,8,1,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,6,5,2,1,8,7]=>[7,8,1,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,3,6,2,1,8,7]=>[7,8,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,3,6,2,1,8,7]=>[7,8,1,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,6,2,1,8,7]=>[7,8,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,5,6,2,1,8,7]=>[7,8,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,5,4,3,1,8,7]=>[7,8,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,5,3,1,8,7]=>[7,8,1,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,5,4,6,3,1,8,7]=>[7,8,1,3,6,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,6,5,4,1,8,7]=>[7,8,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,6,5,4,1,8,7]=>[7,8,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,5,6,4,1,8,7]=>[7,8,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,6,5,1,8,7]=>[7,8,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,3,6,5,1,8,7]=>[7,8,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,4,6,5,1,8,7]=>[7,8,1,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,6,5,1,8,7]=>[7,8,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,3,2,6,1,8,7]=>[7,8,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,3,2,6,1,8,7]=>[7,8,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,5,2,6,1,8,7]=>[7,8,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,5,4,3,6,1,8,7]=>[7,8,1,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,3,6,1,8,7]=>[7,8,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,2,5,6,1,8,7]=>[7,8,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,3,5,6,1,8,7]=>[7,8,1,6,5,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,5,6,4,3,2,8,7]=>[7,8,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,5,4,6,3,2,8,7]=>[7,8,2,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,5,3,6,2,8,7]=>[7,8,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,5,4,6,2,8,7]=>[7,8,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,4,5,6,2,8,7]=>[7,8,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,6,5,4,3,8,7]=>[7,8,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,5,6,4,3,8,7]=>[7,8,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,1,6,5,4,8,7]=>[7,8,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,2,6,5,4,8,7]=>[7,8,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,5,6,4,8,7]=>[7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,4,2,6,5,8,7]=>[7,8,5,6,2,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,1,4,6,5,8,7]=>[7,8,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,4,6,5,8,7]=>[7,8,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,4,2,1,6,8,7]=>[7,8,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,5,4,3,1,6,8,7]=>[7,8,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,3,1,6,8,7]=>[7,8,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,5,4,1,6,8,7]=>[7,8,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,5,4,1,6,8,7]=>[7,8,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,5,1,6,8,7]=>[7,8,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,3,5,1,6,8,7]=>[7,8,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,5,1,6,8,7]=>[7,8,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,5,3,2,6,8,7]=>[7,8,6,2,3,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,5,4,3,6,8,7]=>[7,8,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,5,3,6,8,7]=>[7,8,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,2,1,5,6,8,7]=>[7,8,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,4,1,5,6,8,7]=>[7,8,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,1,5,6,8,7]=>[7,8,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,4,2,5,6,8,7]=>[7,8,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,3,5,6,8,7]=>[7,8,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,1,4,5,6,8,7]=>[7,8,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,7,6,4,3,2,1,8]=>[8,1,2,3,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,7,5,3,2,1,8]=>[8,1,2,3,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,7,6,3,2,1,8]=>[8,1,2,3,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,6,3,2,1,8]=>[8,1,2,3,6,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,7,3,2,1,8]=>[8,1,2,3,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,6,5,4,2,1,8]=>[8,1,2,4,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,6,4,2,1,8]=>[8,1,2,4,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,7,4,2,1,8]=>[8,1,2,4,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,6,5,2,1,8]=>[8,1,2,5,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,7,6,2,1,8]=>[8,1,2,6,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,7,6,2,1,8]=>[8,1,2,6,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,7,6,2,1,8]=>[8,1,2,6,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,7,6,2,1,8]=>[8,1,2,6,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,3,7,2,1,8]=>[8,1,2,7,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,4,7,2,1,8]=>[8,1,2,7,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,4,7,2,1,8]=>[8,1,2,7,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,5,7,2,1,8]=>[8,1,2,7,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,6,7,2,1,8]=>[8,1,2,7,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,6,5,4,3,1,8]=>[8,1,3,4,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,5,4,3,1,8]=>[8,1,3,4,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,6,5,3,1,8]=>[8,1,3,5,6,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,7,5,3,1,8]=>[8,1,3,5,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,7,6,3,1,8]=>[8,1,3,6,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,7,6,3,1,8]=>[8,1,3,6,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,4,7,3,1,8]=>[8,1,3,7,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,4,7,3,1,8]=>[8,1,3,7,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,5,7,3,1,8]=>[8,1,3,7,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,6,7,3,1,8]=>[8,1,3,7,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,6,7,3,1,8]=>[8,1,3,7,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,7,6,4,1,8]=>[8,1,4,6,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,6,7,4,1,8]=>[8,1,4,7,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,6,5,4,1,8]=>[8,1,4,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,7,5,4,1,8]=>[8,1,4,5,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,6,7,4,1,8]=>[8,1,4,7,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,7,6,5,1,8]=>[8,1,5,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,6,7,5,1,8]=>[8,1,5,7,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,7,6,5,1,8]=>[8,1,5,6,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,6,7,5,1,8]=>[8,1,5,7,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,7,6,5,1,8]=>[8,1,5,6,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,7,6,5,1,8]=>[8,1,5,6,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,7,6,5,1,8]=>[8,1,5,6,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,6,7,5,1,8]=>[8,1,5,7,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,2,7,6,1,8]=>[8,1,6,7,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,2,7,6,1,8]=>[8,1,6,7,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,4,7,6,1,8]=>[8,1,6,7,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,5,7,6,1,8]=>[8,1,6,7,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,5,7,6,1,8]=>[8,1,6,7,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,5,7,6,1,8]=>[8,1,6,7,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,5,7,6,1,8]=>[8,1,6,7,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,3,2,7,1,8]=>[8,1,7,2,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,4,2,7,1,8]=>[8,1,7,2,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,4,2,7,1,8]=>[8,1,7,2,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,5,2,7,1,8]=>[8,1,7,2,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,5,2,7,1,8]=>[8,1,7,2,5,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,6,2,7,1,8]=>[8,1,7,2,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,4,3,7,1,8]=>[8,1,7,3,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,5,3,7,1,8]=>[8,1,7,3,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,6,3,7,1,8]=>[8,1,7,3,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,5,4,7,1,8]=>[8,1,7,4,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,6,4,7,1,8]=>[8,1,7,4,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,6,5,7,1,8]=>[8,1,7,5,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,6,5,7,1,8]=>[8,1,7,5,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,6,5,7,1,8]=>[8,1,7,5,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,6,5,7,1,8]=>[8,1,7,5,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,3,6,7,1,8]=>[8,1,7,6,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,3,6,7,1,8]=>[8,1,7,6,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,4,6,7,1,8]=>[8,1,7,6,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,4,6,7,1,8]=>[8,1,7,6,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,5,6,7,1,8]=>[8,1,7,6,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,5,4,3,2,8]=>[8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,6,7,4,3,2,8]=>[8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,7,6,5,3,2,8]=>[8,2,3,5,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,6,7,5,3,2,8]=>[8,2,3,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,7,6,3,2,8]=>[8,2,3,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,4,7,3,2,8]=>[8,2,3,7,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,6,5,7,3,2,8]=>[8,2,3,7,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,6,7,3,2,8]=>[8,2,3,7,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,6,7,3,2,8]=>[8,2,3,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,7,6,5,4,2,8]=>[8,2,4,5,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,7,5,4,2,8]=>[8,2,4,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,5,7,4,2,8]=>[8,2,4,7,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,6,7,4,2,8]=>[8,2,4,7,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,7,6,5,2,8]=>[8,2,5,6,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,6,7,5,2,8]=>[8,2,5,7,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,4,7,6,2,8]=>[8,2,6,7,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,5,7,6,2,8]=>[8,2,6,7,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,5,7,6,2,8]=>[8,2,6,7,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,6,4,3,7,2,8]=>[8,2,7,3,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,6,3,7,2,8]=>[8,2,7,3,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,6,5,7,2,8]=>[8,2,7,5,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,6,5,7,2,8]=>[8,2,7,5,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,3,6,7,2,8]=>[8,2,7,6,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,4,6,7,2,8]=>[8,2,7,6,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,5,6,7,2,8]=>[8,2,7,6,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,6,7,5,4,3,8]=>[8,3,4,5,7,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,7,6,4,3,8]=>[8,3,4,6,7,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,6,5,4,7,3,8]=>[8,3,7,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,6,4,7,3,8]=>[8,3,7,4,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,4,6,7,3,8]=>[8,3,7,6,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,7,5,4,3,8]=>[8,3,4,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,6,7,4,3,8]=>[8,3,4,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,6,7,5,3,8]=>[8,3,5,7,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,6,5,7,3,8]=>[8,3,7,5,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,5,6,7,3,8]=>[8,3,7,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,5,6,7,4,8]=>[8,4,7,6,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,6,7,5,4,8]=>[8,4,5,7,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,6,5,7,4,8]=>[8,4,7,5,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,6,7,5,4,8]=>[8,4,5,7,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,5,7,6,4,8]=>[8,4,6,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,6,5,7,4,8]=>[8,4,7,5,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,5,6,7,4,8]=>[8,4,7,6,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,5,7,6,4,8]=>[8,4,6,7,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,5,6,7,4,8]=>[8,4,7,6,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,6,7,5,4,8]=>[8,4,5,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,5,7,6,4,8]=>[8,4,6,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,5,6,7,4,8]=>[8,4,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,1,6,7,5,8]=>[8,5,7,6,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,1,7,6,5,8]=>[8,5,6,7,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,1,6,7,5,8]=>[8,5,7,6,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,1,7,6,5,8]=>[8,5,6,7,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,1,6,7,5,8]=>[8,5,7,6,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,2,6,7,5,8]=>[8,5,7,6,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,2,7,6,5,8]=>[8,5,6,7,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,4,3,7,6,5,8]=>[8,5,6,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,4,3,6,7,5,8]=>[8,5,7,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,4,6,7,5,8]=>[8,5,7,6,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,4,6,7,5,8]=>[8,5,7,6,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,6,7,5,8]=>[8,5,7,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,2,1,7,6,8]=>[8,6,7,1,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,4,1,7,6,8]=>[8,6,7,1,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,5,1,7,6,8]=>[8,6,7,1,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,5,1,7,6,8]=>[8,6,7,1,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,5,1,7,6,8]=>[8,6,7,1,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,5,1,7,6,8]=>[8,6,7,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,3,2,7,6,8]=>[8,6,7,2,3,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,4,2,7,6,8]=>[8,6,7,2,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,5,2,7,6,8]=>[8,6,7,2,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,4,3,7,6,8]=>[8,6,7,3,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,5,4,7,6,8]=>[8,6,7,4,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,5,4,7,6,8]=>[8,6,7,4,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,1,5,7,6,8]=>[8,6,7,5,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,1,5,7,6,8]=>[8,6,7,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,2,5,7,6,8]=>[8,6,7,5,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,4,5,7,6,8]=>[8,6,7,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,4,2,1,7,8]=>[8,7,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,4,2,1,7,8]=>[8,7,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,4,3,1,7,8]=>[8,7,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,6,3,1,7,8]=>[8,7,1,3,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,5,4,1,7,8]=>[8,7,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,6,4,1,7,8]=>[8,7,1,4,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,5,4,1,7,8]=>[8,7,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,6,4,1,7,8]=>[8,7,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,6,5,1,7,8]=>[8,7,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,6,5,1,7,8]=>[8,7,1,5,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,3,6,1,7,8]=>[8,7,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,4,6,1,7,8]=>[8,7,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,6,3,2,7,8]=>[8,7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,6,4,2,7,8]=>[8,7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,6,5,2,7,8]=>[8,7,2,5,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,4,6,2,7,8]=>[8,7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,6,4,3,7,8]=>[8,7,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,6,4,3,7,8]=>[8,7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,6,5,3,7,8]=>[8,7,3,5,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,4,6,3,7,8]=>[8,7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,6,5,4,7,8]=>[8,7,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,5,6,4,7,8]=>[8,7,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,5,6,4,7,8]=>[8,7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,1,6,5,7,8]=>[8,7,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,1,6,5,7,8]=>[8,7,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,1,6,5,7,8]=>[8,7,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,4,6,5,7,8]=>[8,7,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,2,1,6,7,8]=>[8,7,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,3,1,6,7,8]=>[8,7,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,3,1,6,7,8]=>[8,7,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,4,1,6,7,8]=>[8,7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,5,2,6,7,8]=>[8,7,6,2,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,4,5,3,6,7,8]=>[8,7,6,3,5,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,1,5,6,7,8]=>[8,7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,2,3,5,8,6,7,4]=>[4,7,6,8,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,2,3,7,5,6,8,4]=>[4,8,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,2,3,8,6,7,5,4]=>[4,5,7,6,8,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,2,4,5,8,6,7,3]=>[3,7,6,8,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,2,4,8,5,6,7,3]=>[3,7,6,5,8,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,2,4,8,5,7,6,3]=>[3,6,7,5,8,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,2,4,8,6,5,7,3]=>[3,7,5,6,8,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,2,4,8,6,7,5,3]=>[3,5,7,6,8,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,2,5,4,8,6,7,3]=>[3,7,6,8,4,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,4,5,7,3,8]=>[8,3,7,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,4,5,7,8,3]=>[3,8,7,5,4,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,4,6,5,8,3]=>[3,8,5,6,4,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,8,4,6,7,5,3]=>[3,5,7,6,4,8,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,2,1,1,1]=>3 [1,2,7,5,4,6,3,8]=>[8,3,6,4,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,5,4,6,8,3]=>[3,8,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,2,8,5,4,7,6,3]=>[3,6,7,4,5,8,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [1,2,8,5,6,7,4,3]=>[3,4,7,6,5,8,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [1,2,8,5,7,6,4,3]=>[3,4,6,7,5,8,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,1,2,1,1]=>3 [1,2,8,6,5,4,7,3]=>[3,7,4,5,6,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,2,8,6,5,7,4,3]=>[3,4,7,5,6,8,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,3,2,8,5,7,6,4]=>[4,6,7,5,8,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,3,4,5,8,6,7,2]=>[2,7,6,8,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,3,4,7,5,6,8,2]=>[2,8,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,4,8,5,7,6,2]=>[2,6,7,5,8,4,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [1,3,4,8,6,5,7,2]=>[2,7,5,6,8,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [1,3,6,4,5,7,2,8]=>[8,2,7,5,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,4,5,7,8,2]=>[2,8,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,6,4,5,8,7,2]=>[2,7,8,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,3,7,4,5,6,2,8]=>[8,2,6,5,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,8,4,5,6,7,2]=>[2,7,6,5,4,8,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,3,8,4,5,7,6,2]=>[2,6,7,5,4,8,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,3,8,4,7,6,5,2]=>[2,5,6,7,4,8,3,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,1,1,1]=>2 [1,3,7,5,4,6,2,8]=>[8,2,6,4,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,8,5,4,6,7,2]=>[2,7,6,4,5,8,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,3,8,5,4,7,6,2]=>[2,6,7,4,5,8,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,3,8,5,6,4,7,2]=>[2,7,4,6,5,8,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,3,8,5,6,7,4,2]=>[2,4,7,6,5,8,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [1,3,8,5,7,6,4,2]=>[2,4,6,7,5,8,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,2,2,1,1]=>2 [1,3,8,6,5,7,4,2]=>[2,4,7,5,6,8,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [1,3,8,7,5,6,4,2]=>[2,4,6,5,7,8,3,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,4,3,5,8,6,7,2]=>[2,7,6,8,5,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,4,3,8,5,6,7,2]=>[2,7,6,5,8,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [1,4,3,8,6,5,7,2]=>[2,7,5,6,8,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [1,4,3,8,6,7,5,2]=>[2,5,7,6,8,3,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [1,5,3,4,2,7,8,6]=>[6,8,7,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,5,3,4,6,2,8,7]=>[7,8,2,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,5,3,4,6,7,8,2]=>[2,8,7,6,4,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,3,4,7,6,8,2]=>[2,8,6,7,4,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,3,4,8,6,7,2]=>[2,7,6,8,4,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,5,3,4,8,7,6,2]=>[2,6,7,8,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,4,5,2,8,7]=>[7,8,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,6,3,4,5,7,2,8]=>[8,2,7,5,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,3,1,1,1]=>2 [1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,5,4,7,2,8]=>[8,2,7,4,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,5,4,8,7,2]=>[2,7,8,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,7,3,5,6,4,8,2]=>[2,8,4,6,5,3,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,8,3,5,6,4,7,2]=>[2,7,4,6,5,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,3,5,7,6,4,2]=>[2,4,6,7,5,3,8,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,2,2,1,1]=>2 [1,7,3,6,5,4,2,8]=>[8,2,4,5,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,6,5,4,8,2]=>[2,8,4,5,6,3,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,8,3,6,5,4,7,2]=>[2,7,4,5,6,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,3,6,5,7,4,2]=>[2,4,7,5,6,3,8,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1,1]=>2 [1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,4,3,5,7,6,2]=>[2,6,7,5,3,4,8,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [1,7,4,3,6,5,8,2]=>[2,8,5,6,3,4,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,4,5,3,2,7,8]=>[8,7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,4,5,3,2,8,7]=>[7,8,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,7,4,5,3,6,8,2]=>[2,8,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,7,4,5,6,3,2,8]=>[8,2,3,6,5,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,4,5,6,7,3,2]=>[2,3,7,6,5,4,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [1,8,4,6,5,3,7,2]=>[2,7,3,5,6,4,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,4,6,5,7,3,2]=>[2,3,7,5,6,4,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [1,8,4,7,6,5,3,2]=>[2,3,5,6,7,4,8,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,2,1,1,1]=>2 [1,7,5,4,3,6,2,8]=>[8,2,6,3,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,5,4,3,6,8,2]=>[2,8,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,7,5,4,6,3,8,2]=>[2,8,3,6,4,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,8,5,4,6,7,3,2]=>[2,3,7,6,4,5,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [1,8,5,4,7,6,3,2]=>[2,3,6,7,4,5,8,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,3,1,1]=>2 [1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,6,4,5,7,3,2]=>[2,3,7,5,4,6,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>2 [1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>2 [1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>2 [1,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>2 [2,1,3,5,8,6,7,4]=>[4,7,6,8,5,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,1,3,8,6,5,7,4]=>[4,7,5,6,8,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,1,3,8,6,7,5,4]=>[4,5,7,6,8,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [2,1,4,3,8,6,7,5]=>[5,7,6,8,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,1,4,5,8,6,7,3]=>[3,7,6,8,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,1,4,7,5,6,8,3]=>[3,8,6,5,7,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,4,8,5,7,6,3]=>[3,6,7,5,8,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [2,1,4,8,6,5,7,3]=>[3,7,5,6,8,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,1,5,4,8,6,7,3]=>[3,7,6,8,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,6,4,5,7,8,3]=>[3,8,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,1,7,4,6,5,8,3]=>[3,8,5,6,4,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,1,8,4,6,7,5,3]=>[3,5,7,6,4,8,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [2,1,7,5,4,6,8,3]=>[3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,8,5,4,6,7,3]=>[3,7,6,4,5,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,1,7,5,6,4,8,3]=>[3,8,4,6,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,8,5,6,4,7,3]=>[3,7,4,6,5,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,1,8,5,7,6,4,3]=>[3,4,6,7,5,8,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,1,2,1,1]=>3 [2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [2,3,1,4,8,6,7,5]=>[5,7,6,8,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,3,1,5,8,6,7,4]=>[4,7,6,8,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,3,1,7,5,6,4,8]=>[8,4,6,5,7,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,8,5,6,7,4]=>[4,7,6,5,8,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,3,1,8,6,5,7,4]=>[4,7,5,6,8,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,3,1,8,6,7,5,4]=>[4,5,7,6,8,1,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [2,3,4,1,8,6,7,5]=>[5,7,6,8,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,3,4,7,5,6,1,8]=>[8,1,6,5,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,3,4,8,5,7,6,1]=>[1,6,7,5,8,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [2,3,4,8,6,5,7,1]=>[1,7,5,6,8,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,3,4,8,6,7,5,1]=>[1,5,7,6,8,4,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [2,3,5,4,8,6,7,1]=>[1,7,6,8,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,3,6,4,5,1,7,8]=>[8,7,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,4,5,1,8,7]=>[7,8,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,6,4,5,7,8,1]=>[1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,6,4,5,8,7,1]=>[1,7,8,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,8,4,5,6,7,1]=>[1,7,6,5,4,8,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,3,7,4,6,5,1,8]=>[8,1,5,6,4,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,4,6,5,8,1]=>[1,8,5,6,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,8,4,6,5,7,1]=>[1,7,5,6,4,8,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,3,7,5,4,6,8,1]=>[1,8,6,4,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,8,5,4,6,7,1]=>[1,7,6,4,5,8,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,3,7,5,6,4,8,1]=>[1,8,4,6,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,8,5,6,4,7,1]=>[1,7,4,6,5,8,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,3,8,5,6,7,4,1]=>[1,4,7,6,5,8,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [2,3,8,5,7,6,4,1]=>[1,4,6,7,5,8,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,2,1,1]=>1 [2,3,8,6,5,4,7,1]=>[1,7,4,5,6,8,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,3,8,6,5,7,4,1]=>[1,4,7,5,6,8,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [2,4,3,7,5,6,1,8]=>[8,1,6,5,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,7,5,6,8,1]=>[1,8,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,3,8,5,6,7,1]=>[1,7,6,5,8,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,4,3,8,5,7,6,1]=>[1,6,7,5,8,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [2,4,3,8,6,5,7,1]=>[1,7,5,6,8,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,4,3,8,6,7,5,1]=>[1,5,7,6,8,3,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [2,5,3,4,1,6,7,8]=>[8,7,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,4,1,6,8,7]=>[7,8,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,5,3,4,1,7,6,8]=>[8,6,7,1,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,4,1,8,7,6]=>[6,7,8,1,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,5,3,4,6,1,7,8]=>[8,7,1,6,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,4,6,7,1,8]=>[8,1,7,6,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,4,6,7,8,1]=>[1,8,7,6,4,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,3,4,8,6,7,1]=>[1,7,6,8,4,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,5,3,4,8,7,6,1]=>[1,6,7,8,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [2,6,3,4,5,1,8,7]=>[7,8,1,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,3,4,5,8,7,1]=>[1,7,8,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,7,3,4,5,6,8,1]=>[1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,8,3,4,5,6,7,1]=>[1,7,6,5,4,3,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,8,3,4,5,7,6,1]=>[1,6,7,5,4,3,8,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [2,7,3,4,6,5,8,1]=>[1,8,5,6,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,3,5,4,1,7,8]=>[8,7,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,5,4,1,8,7]=>[7,8,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,3,5,4,7,8,1]=>[1,8,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,3,5,4,8,7,1]=>[1,7,8,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,7,3,5,4,6,8,1]=>[1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,8,3,5,4,7,6,1]=>[1,6,7,4,5,3,8,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [2,7,3,5,6,4,1,8]=>[8,1,4,6,5,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,3,5,6,4,8,1]=>[1,8,4,6,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,8,3,5,7,6,4,1]=>[1,4,6,7,5,3,8,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,1,1]=>1 [2,7,3,6,5,4,1,8]=>[8,1,4,5,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,3,6,5,4,7,1]=>[1,7,4,5,6,3,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,8,3,7,5,6,4,1]=>[1,4,6,5,7,3,8,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>1 [2,8,3,7,6,5,4,1]=>[1,4,5,6,7,3,8,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,3,1,1,1,1]=>1 [2,5,4,3,8,6,7,1]=>[1,7,6,8,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,6,4,3,5,1,8,7]=>[7,8,1,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,3,5,7,8,1]=>[1,8,7,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,4,3,5,8,7,1]=>[1,7,8,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,7,4,3,5,6,1,8]=>[8,1,6,5,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,4,3,5,7,6,1]=>[1,6,7,5,3,4,8,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [2,8,4,3,6,5,7,1]=>[1,7,5,6,3,4,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,8,4,3,6,7,5,1]=>[1,5,7,6,3,4,8,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [2,8,4,3,7,6,5,1]=>[1,5,6,7,3,4,8,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,1,1,1]=>1 [2,6,4,5,3,1,7,8]=>[8,7,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,4,5,3,1,8,7]=>[7,8,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,5,3,7,1,8]=>[8,1,7,3,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,4,5,3,7,8,1]=>[1,8,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,4,5,3,8,7,1]=>[1,7,8,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,7,4,5,3,6,1,8]=>[8,1,6,3,5,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,4,5,3,6,7,1]=>[1,7,6,3,5,4,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,8,4,5,3,7,6,1]=>[1,6,7,3,5,4,8,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [2,7,4,5,6,3,8,1]=>[1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,8,4,5,6,3,7,1]=>[1,7,3,6,5,4,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,7,4,6,5,3,1,8]=>[8,1,3,5,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,4,6,5,3,8,1]=>[1,8,3,5,6,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,8,4,7,5,6,3,1]=>[1,3,6,5,7,4,8,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>1 [2,8,4,7,6,5,3,1]=>[1,3,5,6,7,4,8,2]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,2,1,1,1]=>1 [2,7,5,4,3,6,1,8]=>[8,1,6,3,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,5,4,3,6,7,1]=>[1,7,6,3,4,5,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,8,5,4,3,7,6,1]=>[1,6,7,3,4,5,8,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [2,7,5,4,6,3,8,1]=>[1,8,3,6,4,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,8,5,4,6,3,7,1]=>[1,7,3,6,4,5,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,8,5,4,7,6,3,1]=>[1,3,6,7,4,5,8,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,3,1,1]=>1 [2,7,6,4,5,3,8,1]=>[1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,8,7,4,6,5,3,1]=>[1,3,5,6,4,7,8,2]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>1 [2,8,6,5,4,3,7,1]=>[1,7,3,4,5,6,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,8,6,5,4,7,3,1]=>[1,3,7,4,5,6,8,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [2,8,7,5,4,6,3,1]=>[1,3,6,4,5,7,8,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>1 [2,8,7,5,6,4,3,1]=>[1,3,4,6,5,7,8,2]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,1,2,1,1]=>1 [3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,2,1,5,8,6,7,4]=>[4,7,6,8,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,7,5,6,8,4]=>[4,8,6,5,7,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,2,1,8,6,7,5,4]=>[4,5,7,6,8,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [3,2,4,1,8,6,7,5]=>[5,7,6,8,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [3,2,4,8,5,6,7,1]=>[1,7,6,5,8,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [3,2,4,8,5,7,6,1]=>[1,6,7,5,8,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [3,2,4,8,6,7,5,1]=>[1,5,7,6,8,4,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [3,2,5,4,8,6,7,1]=>[1,7,6,8,4,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [3,2,6,4,5,1,7,8]=>[8,7,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,4,5,1,8,7]=>[7,8,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,6,4,5,7,1,8]=>[8,1,7,5,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,4,5,7,8,1]=>[1,8,7,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,6,4,5,8,7,1]=>[1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,2,7,4,5,6,1,8]=>[8,1,6,5,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,8,4,5,6,7,1]=>[1,7,6,5,4,8,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,2,8,4,5,7,6,1]=>[1,6,7,5,4,8,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [3,2,7,4,6,5,1,8]=>[8,1,5,6,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,4,6,5,8,1]=>[1,8,5,6,4,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,8,4,6,5,7,1]=>[1,7,5,6,4,8,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,2,8,4,7,6,5,1]=>[1,5,6,7,4,8,2,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,4,1,1,1]=>1 [3,2,7,5,4,6,1,8]=>[8,1,6,4,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,5,4,6,8,1]=>[1,8,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,7,5,6,4,1,8]=>[8,1,4,6,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,5,6,4,8,1]=>[1,8,4,6,5,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,8,5,6,4,7,1]=>[1,7,4,6,5,8,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,2,8,5,6,7,4,1]=>[1,4,7,6,5,8,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [3,2,8,6,5,4,7,1]=>[1,7,4,5,6,8,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,2,8,6,5,7,4,1]=>[1,4,7,5,6,8,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [4,2,3,1,5,7,6,8]=>[8,6,7,5,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,1,5,7,8,6]=>[6,8,7,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,2,3,1,6,5,8,7]=>[7,8,5,6,1,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,3,1,6,7,5,8]=>[8,5,7,6,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,1,6,7,8,5]=>[5,8,7,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,3,1,6,8,7,5]=>[5,7,8,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,1,7,6,8,5]=>[5,8,6,7,1,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [4,2,3,5,1,6,8,7]=>[7,8,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,3,5,1,7,8,6]=>[6,8,7,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,3,5,1,8,7,6]=>[6,7,8,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,2,3,5,6,1,8,7]=>[7,8,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,3,5,6,8,7,1]=>[1,7,8,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [4,2,3,5,7,6,1,8]=>[8,1,6,7,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,5,7,6,8,1]=>[1,8,6,7,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,3,6,5,1,7,8]=>[8,7,1,5,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,7,5,6,1,8]=>[8,1,6,5,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,7,5,6,8,1]=>[1,8,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,3,8,5,7,6,1]=>[1,6,7,5,8,3,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,2,3,7,6,5,1,8]=>[8,1,5,6,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,7,6,5,8,1]=>[1,8,5,6,7,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,3,8,7,6,5,1]=>[1,5,6,7,8,3,2,4]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1]=>1 [5,2,3,4,1,6,8,7]=>[7,8,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,3,4,1,7,6,8]=>[8,6,7,1,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,4,1,7,8,6]=>[6,8,7,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,2,3,4,6,8,7,1]=>[1,7,8,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,2,3,4,7,6,1,8]=>[8,1,6,7,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,4,8,6,7,1]=>[1,7,6,8,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,2,3,4,8,7,6,1]=>[1,6,7,8,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [6,2,3,4,5,8,7,1]=>[1,7,8,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,4,6,5,8,1]=>[1,8,5,6,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,4,1,1,1]=>1 [6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,5,4,1,8,7]=>[7,8,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,3,5,4,7,1,8]=>[8,1,7,4,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,5,4,7,8,1]=>[1,8,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,3,5,4,8,7,1]=>[1,7,8,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [7,2,3,5,6,4,1,8]=>[8,1,4,6,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,5,6,4,8,1]=>[1,8,4,6,5,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [8,2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2,8]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,3,2,1,1]=>1 [7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,6,5,4,8,1]=>[1,8,4,5,6,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,3,1,7,8,6]=>[6,8,7,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,2,4,3,6,1,7,8]=>[8,7,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,3,6,1,8,7]=>[7,8,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,4,3,6,7,1,8]=>[8,1,7,6,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,3,6,7,8,1]=>[1,8,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,4,3,6,8,7,1]=>[1,7,8,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,2,4,3,7,6,1,8]=>[8,1,6,7,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,3,7,6,8,1]=>[1,8,6,7,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,4,3,8,6,7,1]=>[1,7,6,8,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,2,4,3,8,7,6,1]=>[1,6,7,8,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [6,2,4,3,5,7,8,1]=>[1,8,7,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,4,3,5,8,7,1]=>[1,7,8,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,2,4,3,6,5,8,1]=>[1,8,5,6,3,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,4,1,1,1]=>1 [6,2,4,5,3,7,1,8]=>[8,1,7,3,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,5,3,7,8,1]=>[1,8,7,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,4,5,3,8,7,1]=>[1,7,8,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,2,4,5,3,6,8,1]=>[1,8,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,2,4,5,6,3,1,8]=>[8,1,3,6,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2,8]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,2,3,1,1]=>1 [7,2,4,6,5,3,1,8]=>[8,1,3,5,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2,8]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>1 [8,2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2,8]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,2,1,1,1]=>1 [6,2,5,4,3,1,7,8]=>[8,7,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,5,4,3,7,1,8]=>[8,1,7,3,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,4,3,7,8,1]=>[1,8,7,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,5,4,3,8,7,1]=>[1,7,8,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,2,5,4,3,6,1,8]=>[8,1,6,3,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,5,4,3,6,8,1]=>[1,8,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,2,5,4,6,3,1,8]=>[8,1,3,6,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,5,4,6,3,8,1]=>[1,8,3,6,4,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>1 [8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>1 [7,2,6,5,4,3,8,1]=>[1,8,3,4,5,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>1 [8,2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2,8]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>1 [8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1,1]=>1 [4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,3,2,7,5,6,8,1]=>[1,8,6,5,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,2,8,5,6,7,1]=>[1,7,6,5,8,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,3,2,8,5,7,6,1]=>[1,6,7,5,8,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,3,2,8,6,7,5,1]=>[1,5,7,6,8,2,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,2,4,1,7,6,8]=>[8,6,7,1,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,3,2,4,6,1,8,7]=>[7,8,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,2,4,7,6,1,8]=>[8,1,6,7,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,4,7,6,8,1]=>[1,8,6,7,4,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,2,4,8,6,7,1]=>[1,7,6,8,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,3,2,4,8,7,6,1]=>[1,6,7,8,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,2,4,5,8,7,1]=>[1,7,8,5,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,4,6,5,8,1]=>[1,8,5,6,4,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,4,1,1,1]=>1 [6,3,2,5,4,1,7,8]=>[8,7,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,2,5,4,7,1,8]=>[8,1,7,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,5,4,7,8,1]=>[1,8,7,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,2,5,4,8,7,1]=>[1,7,8,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,3,2,5,4,6,1,8]=>[8,1,6,4,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,5,4,6,8,1]=>[1,8,6,4,5,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,3,1,1,1,1]=>1 [5,3,4,2,1,7,8,6]=>[6,8,7,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,3,4,2,1,8,7,6]=>[6,7,8,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,3,4,2,6,1,8,7]=>[7,8,1,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,4,2,6,8,7,1]=>[1,7,8,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,3,4,2,7,6,1,8]=>[8,1,6,7,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,2,7,6,8,1]=>[1,8,6,7,2,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,4,2,8,6,7,1]=>[1,7,6,8,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,3,4,2,8,7,6,1]=>[1,6,7,8,2,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [6,3,4,2,5,1,8,7]=>[7,8,1,5,2,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,3,4,2,6,5,1,8]=>[8,1,5,6,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,2,6,5,8,1]=>[1,8,5,6,2,4,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [8,3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3,8]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,4,1,1,1]=>1 [6,3,4,5,2,1,8,7]=>[7,8,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,4,5,2,8,7,1]=>[1,7,8,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [8,3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,4,1,1]=>1 [7,3,4,6,5,2,1,8]=>[8,1,2,5,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,6,5,2,8,1]=>[1,8,2,5,6,4,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3,8]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,3,1,1,1]=>1 [6,3,5,4,2,1,7,8]=>[8,7,1,2,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,4,2,7,1,8]=>[8,1,7,2,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,4,2,7,8,1]=>[1,8,7,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,5,4,2,8,7,1]=>[1,7,8,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,3,5,4,2,6,1,8]=>[8,1,6,2,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,3,5,4,6,2,1,8]=>[8,1,2,6,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,4,1,1]=>1 [7,3,6,4,5,2,1,8]=>[8,1,2,5,4,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [8,3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3,8]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,3,1,1,1]=>1 [7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3,8]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,2,2,1,1]=>1 [8,3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3,8]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,2,1,1,1,1]=>1 [5,4,3,2,8,6,7,1]=>[1,7,6,8,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [7,4,3,2,6,5,8,1]=>[1,8,5,6,2,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,4,1,1,1]=>1 [6,4,3,5,2,1,8,7]=>[7,8,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,3,5,2,8,7,1]=>[1,7,8,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [8,4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,4,1,1]=>1 [7,4,3,6,5,2,1,8]=>[8,1,2,5,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,6,5,2,8,1]=>[1,8,2,5,6,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,3,4,2,8,7,1]=>[1,7,8,2,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [8,5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,4,1,1]=>1 [8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,3,1,1,1]=>1 [7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>1 [8,7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7,8]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,2,2,1,1]=>1 [8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>1 [8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,4,1,1]=>1 [8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,3,1,1,1]=>1 [8,7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7,8]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,2,1,1,1]=>1 [2,4,1,3,6,5,8,7]=>[7,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,6,3,5,8,7]=>[7,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,1,3,5,8,7]=>[7,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,3,6,8,5,7]=>[7,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,6,3,8,5,7]=>[7,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,1,3,8,5,7]=>[7,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,6,8,3,5,7]=>[7,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,1,6,8,3,5,7]=>[7,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,1,3,6,5,7,8]=>[8,7,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,4,6,3,5,7,8]=>[8,7,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,3,6,7,5,8]=>[8,5,7,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,6,3,7,5,8]=>[8,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,1,3,7,5,8]=>[8,5,7,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,6,7,3,5,8]=>[8,5,3,7,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,1,7,3,5,8]=>[8,5,3,7,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,3,6,7,8,5]=>[5,8,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,1,6,3,7,8,5]=>[5,8,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,6,1,3,7,8,5]=>[5,8,7,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,4,6,7,3,8,5]=>[5,8,3,7,6,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,1,6,7,3,8,5]=>[5,8,3,7,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,6,1,7,3,8,5]=>[5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,6,7,1,3,8,5]=>[5,8,3,1,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,4,6,7,8,3,5]=>[5,3,8,7,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,1,6,7,8,3,5]=>[5,3,8,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,6,1,7,8,3,5]=>[5,3,8,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,6,7,1,8,3,5]=>[5,3,8,1,7,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,6,7,8,1,3,5]=>[5,3,1,8,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,7,1,3,5,8,6]=>[6,8,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,1,3,7,8,5,6]=>[6,5,8,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,4,7,3,8,5,6]=>[6,5,8,3,7,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,1,7,3,8,5,6]=>[6,5,8,3,7,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,7,1,3,8,5,6]=>[6,5,8,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,4,7,8,3,5,6]=>[6,5,3,8,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,4,1,7,8,3,5,6]=>[6,5,3,8,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,4,7,8,1,3,5,6]=>[6,5,3,1,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,1,4,3,7,5,6,8]=>[8,6,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,3,5,7,6,8]=>[8,6,7,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,5,3,7,6,8]=>[8,6,7,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,5,7,3,6,8]=>[8,6,3,7,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,1,7,3,6,8]=>[8,6,3,7,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,7,1,3,6,8]=>[8,6,3,1,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,3,5,7,8,6]=>[6,8,7,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,1,5,3,7,8,6]=>[6,8,7,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,5,1,3,7,8,6]=>[6,8,7,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,4,5,7,3,8,6]=>[6,8,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,1,5,7,3,8,6]=>[6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,5,1,7,3,8,6]=>[6,8,3,7,1,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,5,7,1,3,8,6]=>[6,8,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,4,5,7,8,3,6]=>[6,3,8,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,1,5,7,8,3,6]=>[6,3,8,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,5,1,7,8,3,6]=>[6,3,8,7,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,5,7,1,8,3,6]=>[6,3,8,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,5,7,8,1,3,6]=>[6,3,1,8,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,1,3,8,5,6,7]=>[7,6,5,8,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,1,4,8,3,5,6,7]=>[7,6,5,3,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,8,1,3,5,6,7]=>[7,6,5,3,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,1,4,3,5,8,6,7]=>[7,6,8,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,5,3,8,6,7]=>[7,6,8,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,1,3,8,6,7]=>[7,6,8,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,5,8,3,6,7]=>[7,6,3,8,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,1,5,8,3,6,7]=>[7,6,3,8,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,5,1,8,3,6,7]=>[7,6,3,8,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,1,5,3,6,8,7]=>[7,8,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,1,3,6,8,7]=>[7,8,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,5,6,3,8,7]=>[7,8,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,1,6,3,8,7]=>[7,8,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,6,1,3,8,7]=>[7,8,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,5,6,8,3,7]=>[7,3,8,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,5,6,8,3,7]=>[7,3,8,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,1,6,8,3,7]=>[7,3,8,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,6,1,8,3,7]=>[7,3,8,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,6,8,1,3,7]=>[7,3,1,8,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,1,3,6,7,8]=>[8,7,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,5,6,3,7,8]=>[8,7,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,1,6,3,7,8]=>[8,7,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,6,1,3,7,8]=>[8,7,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,5,6,7,3,8]=>[8,3,7,6,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,1,6,7,3,8]=>[8,3,7,6,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,6,1,7,3,8]=>[8,3,7,1,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,5,6,7,8,3]=>[3,8,7,6,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,5,1,6,7,8,3]=>[3,8,7,6,1,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,5,6,1,7,8,3]=>[3,8,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,5,1,6,3,4,8,7]=>[7,8,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,5,3,6,8,4,7]=>[7,4,8,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,5,6,3,8,4,7]=>[7,4,8,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,6,1,3,8,4,7]=>[7,4,8,3,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,1,6,8,3,4,7]=>[7,4,3,8,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,1,5,3,6,4,7,8]=>[8,7,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,6,3,4,7,8]=>[8,7,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,6,3,4,7,8]=>[8,7,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,3,6,7,4,8]=>[8,4,7,6,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,6,3,7,4,8]=>[8,4,7,3,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,6,3,7,4,8]=>[8,4,7,3,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,1,3,7,4,8]=>[8,4,7,3,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,6,7,3,4,8]=>[8,4,3,7,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,6,7,3,4,8]=>[8,4,3,7,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,1,7,3,4,8]=>[8,4,3,7,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,7,1,3,4,8]=>[8,4,3,1,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,3,6,7,8,4]=>[4,8,7,6,3,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,5,6,3,7,8,4]=>[4,8,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,1,6,3,7,8,4]=>[4,8,7,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,6,1,3,7,8,4]=>[4,8,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,5,6,7,3,8,4]=>[4,8,3,7,6,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,1,6,7,3,8,4]=>[4,8,3,7,6,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,6,1,7,3,8,4]=>[4,8,3,7,1,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,6,7,1,3,8,4]=>[4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,5,6,7,8,3,4]=>[4,3,8,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,5,1,6,7,8,3,4]=>[4,3,8,7,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,5,6,1,7,8,3,4]=>[4,3,8,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,5,6,7,1,8,3,4]=>[4,3,8,1,7,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,5,6,7,8,1,3,4]=>[4,3,1,8,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,5,1,3,7,4,8,6]=>[6,8,4,7,3,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,5,7,3,4,8,6]=>[6,8,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,5,7,1,3,4,8,6]=>[6,8,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,5,3,7,8,4,6]=>[6,4,8,7,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,1,3,7,8,4,6]=>[6,4,8,7,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,1,7,3,8,4,6]=>[6,4,8,3,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,7,1,3,8,4,6]=>[6,4,8,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,5,7,8,3,4,6]=>[6,4,3,8,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,1,7,8,3,4,6]=>[6,4,3,8,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,7,1,8,3,4,6]=>[6,4,3,8,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,7,8,1,3,4,6]=>[6,4,3,1,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,1,5,3,7,4,6,8]=>[8,6,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,3,7,4,6,8]=>[8,6,4,7,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,7,3,4,6,8]=>[8,6,4,3,7,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,3,4,7,6,8]=>[8,6,7,4,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,1,4,7,6,8]=>[8,6,7,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,5,7,4,6,8]=>[8,6,4,7,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,5,7,4,6,8]=>[8,6,4,7,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,1,7,4,6,8]=>[8,6,4,7,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,7,1,4,6,8]=>[8,6,4,1,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,3,4,7,8,6]=>[6,8,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,3,5,7,4,8,6]=>[6,8,4,7,5,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,1,5,7,4,8,6]=>[6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,5,1,7,4,8,6]=>[6,8,4,7,1,5,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,5,7,1,4,8,6]=>[6,8,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,3,5,7,8,4,6]=>[6,4,8,7,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,5,7,1,8,4,6]=>[6,4,8,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,5,7,8,1,4,6]=>[6,4,1,8,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,1,3,8,4,6,7]=>[7,6,4,8,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,1,5,8,3,4,6,7]=>[7,6,4,3,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,1,8,3,4,6,7]=>[7,6,4,3,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,8,1,3,4,6,7]=>[7,6,4,3,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,5,1,3,4,8,6,7]=>[7,6,8,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,5,1,4,8,6,7]=>[7,6,8,4,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,5,8,4,6,7]=>[7,6,4,8,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,1,5,8,4,6,7]=>[7,6,4,8,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,1,3,4,6,8,7]=>[7,8,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,5,6,1,4,8,7]=>[7,8,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,5,6,8,4,7]=>[7,4,8,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,1,5,6,8,4,7]=>[7,4,8,6,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,5,1,6,8,4,7]=>[7,4,8,6,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,5,6,1,8,4,7]=>[7,4,8,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,5,6,8,1,4,7]=>[7,4,1,8,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,1,3,4,6,7,8]=>[8,7,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,1,4,6,7,8]=>[8,7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,1,6,4,7,8]=>[8,7,4,6,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,6,1,4,7,8]=>[8,7,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,6,1,7,4,8]=>[8,4,7,1,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,6,7,1,4,8]=>[8,4,1,7,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,1,6,7,8,4]=>[4,8,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,5,6,7,1,8,4]=>[4,8,1,7,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,1,3,7,4,8,5]=>[5,8,4,7,3,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,6,7,3,4,8,5]=>[5,8,4,3,7,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,1,7,3,4,8,5]=>[5,8,4,3,7,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,6,3,7,8,4,5]=>[5,4,8,7,3,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,1,6,7,3,8,4,5]=>[5,4,8,3,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,6,1,7,3,8,4,5]=>[5,4,8,3,7,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,6,7,1,3,8,4,5]=>[5,4,8,3,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,6,1,7,8,3,4,5]=>[5,4,3,8,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,6,7,1,8,3,4,5]=>[5,4,3,8,1,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,6,7,8,1,3,4,5]=>[5,4,3,1,8,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,6,7,3,4,5,8]=>[8,5,4,3,7,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,1,3,4,5,8]=>[8,5,4,3,1,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,6,3,4,7,5,8]=>[8,5,7,4,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,3,4,7,5,8]=>[8,5,7,4,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,6,4,7,5,8]=>[8,5,7,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,1,4,7,5,8]=>[8,5,7,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,6,7,4,5,8]=>[8,5,4,7,6,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,6,7,4,5,8]=>[8,5,4,7,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,1,7,4,5,8]=>[8,5,4,7,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,7,1,4,5,8]=>[8,5,4,1,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,6,3,4,7,8,5]=>[5,8,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,1,3,4,7,8,5]=>[5,8,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,3,6,4,7,8,5]=>[5,8,7,4,6,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,1,6,4,7,8,5]=>[5,8,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,6,1,4,7,8,5]=>[5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,3,6,7,4,8,5]=>[5,8,4,7,6,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,6,1,7,4,8,5]=>[5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,6,7,1,4,8,5]=>[5,8,4,1,7,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,3,6,7,8,4,5]=>[5,4,8,7,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,1,6,7,8,4,5]=>[5,4,8,7,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,6,1,7,8,4,5]=>[5,4,8,7,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,6,7,1,8,4,5]=>[5,4,8,1,7,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,6,7,8,1,4,5]=>[5,4,1,8,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,6,1,8,3,4,5,7]=>[7,5,4,3,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,8,1,3,4,5,7]=>[7,5,4,3,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,1,3,4,8,5,7]=>[7,5,8,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,6,4,8,5,7]=>[7,5,8,4,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,1,6,4,8,5,7]=>[7,5,8,4,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,6,1,4,8,5,7]=>[7,5,8,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,6,8,4,5,7]=>[7,5,4,8,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,1,6,8,4,5,7]=>[7,5,4,8,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,6,1,8,4,5,7]=>[7,5,4,8,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,6,8,1,4,5,7]=>[7,5,4,1,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,1,3,4,5,8,7]=>[7,8,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,6,1,4,5,8,7]=>[7,8,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,6,1,5,8,7]=>[7,8,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,1,4,6,8,5,7]=>[7,5,8,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,1,6,8,5,7]=>[7,5,8,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,6,1,8,5,7]=>[7,5,8,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,6,8,1,5,7]=>[7,5,1,8,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,6,4,5,7,8]=>[8,7,5,4,6,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,6,4,5,7,8]=>[8,7,5,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,1,4,5,7,8]=>[8,7,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,6,1,5,7,8]=>[8,7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,6,7,1,5,8]=>[8,5,1,7,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,6,1,7,8,5]=>[5,8,7,1,6,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,4,6,7,1,8,5]=>[5,8,1,7,6,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,4,6,7,8,1,5]=>[5,1,8,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,1,7,3,8,4,5,6]=>[6,5,4,8,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,1,7,8,3,4,5,6]=>[6,5,4,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,7,1,8,3,4,5,6]=>[6,5,4,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,7,8,1,3,4,5,6]=>[6,5,4,3,1,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,1,7,3,4,8,5,6]=>[6,5,8,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,1,3,4,8,5,6]=>[6,5,8,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,1,7,4,8,5,6]=>[6,5,8,4,7,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,7,1,4,8,5,6]=>[6,5,8,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,3,7,8,4,5,6]=>[6,5,4,8,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,3,1,7,8,4,5,6]=>[6,5,4,8,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,3,7,8,1,4,5,6]=>[6,5,4,1,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,1,7,3,4,5,8,6]=>[6,8,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,1,3,4,5,8,6]=>[6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,1,7,4,5,8,6]=>[6,8,5,4,7,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,4,1,7,5,8,6]=>[6,8,5,7,1,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,4,7,1,5,8,6]=>[6,8,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,3,4,7,8,5,6]=>[6,5,8,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,1,4,7,8,5,6]=>[6,5,8,7,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,4,1,7,8,5,6]=>[6,5,8,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,4,7,1,8,5,6]=>[6,5,8,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,4,7,8,1,5,6]=>[6,5,1,8,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,1,7,3,4,5,6,8]=>[8,6,5,4,3,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,7,4,5,6,8]=>[8,6,5,4,7,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,4,7,5,6,8]=>[8,6,5,7,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,4,7,5,6,8]=>[8,6,5,7,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,1,7,5,6,8]=>[8,6,5,7,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,7,1,5,6,8]=>[8,6,5,1,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,5,7,1,6,8]=>[8,6,1,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,4,5,7,8,1,6]=>[6,1,8,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,1,3,8,4,5,6,7]=>[7,6,5,4,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,1,8,4,5,6,7]=>[7,6,5,4,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,8,1,4,5,6,7]=>[7,6,5,4,1,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,1,3,4,8,5,6,7]=>[7,6,5,8,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,1,4,8,5,6,7]=>[7,6,5,8,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,1,3,4,5,8,6,7]=>[7,6,8,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,1,4,5,8,6,7]=>[7,6,8,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,1,5,8,6,7]=>[7,6,8,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,5,1,8,6,7]=>[7,6,8,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,5,8,1,6,7]=>[7,6,1,8,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,6,1,2,5,8,7]=>[7,8,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,1,2,6,8,5,7]=>[7,5,8,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,4,6,2,8,5,7]=>[7,5,8,2,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,1,6,2,8,5,7]=>[7,5,8,2,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,6,1,2,8,5,7]=>[7,5,8,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,4,6,8,2,5,7]=>[7,5,2,8,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,1,6,8,2,5,7]=>[7,5,2,8,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,6,1,8,2,5,7]=>[7,5,2,8,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,6,8,1,2,5,7]=>[7,5,2,1,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,4,2,6,5,7,8]=>[8,7,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,2,6,5,7,8]=>[8,7,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,1,2,5,7,8]=>[8,7,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,2,6,7,5,8]=>[8,5,7,6,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,6,2,7,5,8]=>[8,5,7,2,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,1,2,7,5,8]=>[8,5,7,2,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,6,7,2,5,8]=>[8,5,2,7,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,1,7,2,5,8]=>[8,5,2,7,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,7,1,2,5,8]=>[8,5,2,1,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,2,6,7,8,5]=>[5,8,7,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,1,2,6,7,8,5]=>[5,8,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,4,6,2,7,8,5]=>[5,8,7,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,1,6,2,7,8,5]=>[5,8,7,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,6,1,2,7,8,5]=>[5,8,7,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,4,6,7,2,8,5]=>[5,8,2,7,6,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,1,6,7,2,8,5]=>[5,8,2,7,6,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,6,1,7,2,8,5]=>[5,8,2,7,1,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,6,7,1,2,8,5]=>[5,8,2,1,7,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,4,6,7,8,2,5]=>[5,2,8,7,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,4,1,6,7,8,2,5]=>[5,2,8,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,4,6,1,7,8,2,5]=>[5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,4,6,7,1,8,2,5]=>[5,2,8,1,7,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,4,6,7,8,1,2,5]=>[5,2,1,8,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,2,7,5,8,6]=>[6,8,5,7,2,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,7,2,5,8,6]=>[6,8,5,2,7,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,7,1,2,5,8,6]=>[6,8,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,2,7,8,5,6]=>[6,5,8,7,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,7,2,8,5,6]=>[6,5,8,2,7,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,7,1,2,8,5,6]=>[6,5,8,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,7,8,2,5,6]=>[6,5,2,8,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,1,4,2,7,5,6,8]=>[8,6,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,2,7,5,6,8]=>[8,6,5,7,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,7,2,5,6,8]=>[8,6,5,2,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,1,2,5,6,8]=>[8,6,5,2,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,2,5,7,6,8]=>[8,6,7,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,5,2,7,6,8]=>[8,6,7,2,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,5,7,2,6,8]=>[8,6,2,7,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,5,7,2,6,8]=>[8,6,2,7,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,1,7,2,6,8]=>[8,6,2,7,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,2,5,7,8,6]=>[6,8,7,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,2,5,7,8,6]=>[6,8,7,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,5,2,7,8,6]=>[6,8,7,2,5,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,5,1,2,7,8,6]=>[6,8,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,5,7,2,8,6]=>[6,8,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,5,7,2,8,6]=>[6,8,2,7,5,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,5,1,7,2,8,6]=>[6,8,2,7,1,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,5,7,1,2,8,6]=>[6,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,5,7,8,2,6]=>[6,2,8,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,5,7,8,2,6]=>[6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,5,1,7,8,2,6]=>[6,2,8,7,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,5,7,1,8,2,6]=>[6,2,8,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,5,7,8,1,2,6]=>[6,2,1,8,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,4,2,8,5,6,7]=>[7,6,5,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,1,2,8,5,6,7]=>[7,6,5,8,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,4,8,2,5,6,7]=>[7,6,5,2,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,1,8,2,5,6,7]=>[7,6,5,2,8,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,8,1,2,5,6,7]=>[7,6,5,2,1,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,4,2,5,8,6,7]=>[7,6,8,5,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,1,2,5,8,6,7]=>[7,6,8,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,1,5,2,8,6,7]=>[7,6,8,2,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,1,5,8,2,6,7]=>[7,6,2,8,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,1,2,5,6,8,7]=>[7,8,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,5,1,2,6,8,7]=>[7,8,6,2,1,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,4,5,6,2,8,7]=>[7,8,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,1,5,6,2,8,7]=>[7,8,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,5,1,6,2,8,7]=>[7,8,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,5,6,1,2,8,7]=>[7,8,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,4,5,6,8,2,7]=>[7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,1,5,6,8,2,7]=>[7,2,8,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,5,6,1,8,2,7]=>[7,2,8,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,5,6,8,1,2,7]=>[7,2,1,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,5,2,6,7,8]=>[8,7,6,2,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,5,6,2,7,8]=>[8,7,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,5,6,2,7,8]=>[8,7,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,1,6,2,7,8]=>[8,7,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,5,6,7,2,8]=>[8,2,7,6,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,5,6,7,2,8]=>[8,2,7,6,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,1,6,7,2,8]=>[8,2,7,6,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,6,1,7,2,8]=>[8,2,7,1,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,1,5,6,7,8,2]=>[2,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,5,1,6,7,8,2]=>[2,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,5,6,1,7,8,2]=>[2,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,5,6,7,1,8,2]=>[2,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,5,6,2,4,8,7]=>[7,8,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,6,1,2,4,8,7]=>[7,8,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,1,2,6,8,4,7]=>[7,4,8,6,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,5,1,6,2,8,4,7]=>[7,4,8,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,5,6,8,2,4,7]=>[7,4,2,8,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,1,6,8,2,4,7]=>[7,4,2,8,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,6,1,8,2,4,7]=>[7,4,2,8,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,6,8,1,2,4,7]=>[7,4,2,1,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,5,2,6,4,7,8]=>[8,7,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,2,6,4,7,8]=>[8,7,4,6,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,6,2,4,7,8]=>[8,7,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,6,2,4,7,8]=>[8,7,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,1,2,4,7,8]=>[8,7,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,2,6,7,4,8]=>[8,4,7,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,2,6,7,4,8]=>[8,4,7,6,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,6,2,7,4,8]=>[8,4,7,2,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,6,2,7,4,8]=>[8,4,7,2,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,1,2,7,4,8]=>[8,4,7,2,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,6,7,2,4,8]=>[8,4,2,7,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,1,7,2,4,8]=>[8,4,2,7,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,7,1,2,4,8]=>[8,4,2,1,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,2,6,7,8,4]=>[4,8,7,6,2,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,5,6,2,7,8,4]=>[4,8,7,2,6,5,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,1,6,2,7,8,4]=>[4,8,7,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,6,1,2,7,8,4]=>[4,8,7,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,5,6,7,2,8,4]=>[4,8,2,7,6,5,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,1,6,7,2,8,4]=>[4,8,2,7,6,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,6,1,7,2,8,4]=>[4,8,2,7,1,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,6,7,1,2,8,4]=>[4,8,2,1,7,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,5,6,7,8,2,4]=>[4,2,8,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,5,1,6,7,8,2,4]=>[4,2,8,7,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,5,6,1,7,8,2,4]=>[4,2,8,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,5,6,7,1,8,2,4]=>[4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,5,6,7,8,1,2,4]=>[4,2,1,8,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,1,2,7,4,8,6]=>[6,8,4,7,2,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,1,7,2,4,8,6]=>[6,8,4,2,7,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,7,1,2,4,8,6]=>[6,8,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,5,2,7,8,4,6]=>[6,4,8,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,5,7,2,8,4,6]=>[6,4,8,2,7,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,7,1,2,8,4,6]=>[6,4,8,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,5,7,8,2,4,6]=>[6,4,2,8,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,5,1,7,8,2,4,6]=>[6,4,2,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,7,2,4,6,8]=>[8,6,4,2,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,2,4,7,6,8]=>[8,6,7,4,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,5,7,4,6,8]=>[8,6,4,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,5,7,4,6,8]=>[8,6,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,2,7,4,6,8]=>[8,6,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,2,4,7,8,6]=>[6,8,7,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,1,2,4,7,8,6]=>[6,8,7,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,2,4,7,8,6]=>[6,8,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,5,7,4,8,6]=>[6,8,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,5,7,4,8,6]=>[6,8,4,7,5,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,7,2,4,8,6]=>[6,8,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,5,7,8,4,6]=>[6,4,8,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,5,7,8,4,6]=>[6,4,8,7,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,2,7,8,4,6]=>[6,4,8,7,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,7,2,8,4,6]=>[6,4,8,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,7,8,2,4,6]=>[6,4,2,8,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,5,2,8,4,6,7]=>[7,6,4,8,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,1,2,8,4,6,7]=>[7,6,4,8,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,5,8,2,4,6,7]=>[7,6,4,2,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,1,8,2,4,6,7]=>[7,6,4,2,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,2,5,4,8,6,7]=>[7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,2,5,4,8,6,7]=>[7,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,5,2,4,8,6,7]=>[7,6,8,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,2,5,8,4,6,7]=>[7,6,4,8,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,2,5,8,4,6,7]=>[7,6,4,8,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,5,2,4,6,8,7]=>[7,8,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,5,2,4,6,8,7]=>[7,8,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,5,6,2,4,8,7]=>[7,8,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,2,5,6,8,4,7]=>[7,4,8,6,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,2,5,6,8,4,7]=>[7,4,8,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,5,2,6,8,4,7]=>[7,4,8,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,5,6,2,8,4,7]=>[7,4,8,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,5,6,8,2,4,7]=>[7,4,2,8,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,5,2,4,6,7,8]=>[8,7,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,2,4,6,7,8]=>[8,7,6,4,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,5,4,6,7,8]=>[8,7,6,4,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,2,4,6,7,8]=>[8,7,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,6,2,4,7,8]=>[8,7,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,2,6,7,4,8]=>[8,4,7,6,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,5,6,7,8,4]=>[4,8,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,5,2,6,7,8,4]=>[4,8,7,6,2,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,5,6,2,7,8,4]=>[4,8,7,2,6,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,5,6,7,2,8,4]=>[4,8,2,7,6,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,5,6,7,8,2,4]=>[4,2,8,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,1,2,7,4,8,5]=>[5,8,4,7,2,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,1,7,2,4,8,5]=>[5,8,4,2,7,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,7,1,2,4,8,5]=>[5,8,4,2,1,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,6,2,7,8,4,5]=>[5,4,8,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,6,7,2,8,4,5]=>[5,4,8,2,7,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,6,7,8,2,4,5]=>[5,4,2,8,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,6,7,1,8,2,4,5]=>[5,4,2,8,1,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,6,7,8,1,2,4,5]=>[5,4,2,1,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,7,2,4,5,8]=>[8,5,4,2,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,7,1,2,4,5,8]=>[8,5,4,2,1,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,2,4,7,5,8]=>[8,5,7,4,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,6,4,7,5,8]=>[8,5,7,4,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,6,4,7,5,8]=>[8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,2,4,7,5,8]=>[8,5,7,4,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,6,7,4,5,8]=>[8,5,4,7,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,2,7,4,5,8]=>[8,5,4,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,7,2,4,5,8]=>[8,5,4,2,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,2,4,7,8,5]=>[5,8,7,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,1,2,4,7,8,5]=>[5,8,7,4,2,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,2,6,4,7,8,5]=>[5,8,7,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,2,6,4,7,8,5]=>[5,8,7,4,6,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,6,2,4,7,8,5]=>[5,8,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,2,6,7,4,8,5]=>[5,8,4,7,6,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,2,6,7,4,8,5]=>[5,8,4,7,6,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,6,2,7,4,8,5]=>[5,8,4,7,2,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,2,6,7,8,4,5]=>[5,4,8,7,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,3,2,6,7,8,4,5]=>[5,4,8,7,6,2,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,3,6,2,7,8,4,5]=>[5,4,8,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,3,6,7,2,8,4,5]=>[5,4,8,2,7,6,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,6,2,8,4,5,7]=>[7,5,4,8,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,6,8,2,4,5,7]=>[7,5,4,2,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,6,1,8,2,4,5,7]=>[7,5,4,2,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,6,8,1,2,4,5,7]=>[7,5,4,2,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,6,2,4,8,5,7]=>[7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,1,2,4,8,5,7]=>[7,5,8,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,2,6,4,8,5,7]=>[7,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,6,2,4,8,5,7]=>[7,5,8,4,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,2,6,8,4,5,7]=>[7,5,4,8,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,6,2,8,4,5,7]=>[7,5,4,8,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,6,1,2,4,5,8,7]=>[7,8,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,2,4,6,5,8,7]=>[7,8,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,4,6,2,5,8,7]=>[7,8,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,2,4,6,8,5,7]=>[7,5,8,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,4,6,8,2,5,7]=>[7,5,2,8,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,6,2,4,5,7,8]=>[8,7,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,2,4,5,7,8]=>[8,7,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,6,4,5,7,8]=>[8,7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,4,6,5,7,8]=>[8,7,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,4,6,7,5,8]=>[8,5,7,6,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,6,2,7,5,8]=>[8,5,7,2,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,4,6,7,8,5]=>[5,8,7,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,4,6,2,7,8,5]=>[5,8,7,2,6,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,4,6,7,2,8,5]=>[5,8,2,7,6,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,4,6,7,8,2,5]=>[5,2,8,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,7,2,8,4,5,6]=>[6,5,4,8,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,1,2,8,4,5,6]=>[6,5,4,8,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,7,8,2,4,5,6]=>[6,5,4,2,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,1,2,4,8,5,6]=>[6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,7,4,8,5,6]=>[6,5,8,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,7,4,8,5,6]=>[6,5,8,4,7,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,7,8,4,5,6]=>[6,5,4,8,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,2,7,8,4,5,6]=>[6,5,4,8,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,7,2,8,4,5,6]=>[6,5,4,8,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,7,2,4,5,8,6]=>[6,8,5,4,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,1,2,4,5,8,6]=>[6,8,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,7,4,5,8,6]=>[6,8,5,4,7,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,7,2,4,5,8,6]=>[6,8,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,4,7,5,8,6]=>[6,8,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,4,7,5,8,6]=>[6,8,5,7,4,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,4,7,2,5,8,6]=>[6,8,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,4,7,8,5,6]=>[6,5,8,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,4,7,8,5,6]=>[6,5,8,7,4,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,4,2,7,8,5,6]=>[6,5,8,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,4,7,8,2,5,6]=>[6,5,2,8,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,1,2,4,5,6,8]=>[8,6,5,4,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,7,4,5,6,8]=>[8,6,5,4,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,4,7,5,6,8]=>[8,6,5,7,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,4,5,7,6,8]=>[8,6,7,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,5,7,2,6,8]=>[8,6,2,7,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,4,5,7,8,6]=>[6,8,7,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,4,5,7,2,8,6]=>[6,8,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,8,2,4,5,6,7]=>[7,6,5,4,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,1,2,8,4,5,6,7]=>[7,6,5,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,3,2,8,4,5,6,7]=>[7,6,5,4,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,3,8,2,4,5,6,7]=>[7,6,5,4,2,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,2,4,8,5,6,7]=>[7,6,5,8,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,2,4,8,5,6,7]=>[7,6,5,8,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,4,2,8,5,6,7]=>[7,6,5,8,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,2,4,5,8,6,7]=>[7,6,8,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,4,2,5,8,6,7]=>[7,6,8,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,2,4,5,6,8,7]=>[7,8,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,4,5,6,8,2,7]=>[7,2,8,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,1,2,6,3,8,7]=>[7,8,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,2,6,8,3,7]=>[7,3,8,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,6,2,8,3,7]=>[7,3,8,2,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,1,6,2,8,3,7]=>[7,3,8,2,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,6,1,2,8,3,7]=>[7,3,8,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,1,6,8,2,3,7]=>[7,3,2,8,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,6,1,8,2,3,7]=>[7,3,2,8,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,6,8,1,2,3,7]=>[7,3,2,1,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,5,2,6,3,7,8]=>[8,7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,2,6,3,7,8]=>[8,7,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,6,2,3,7,8]=>[8,7,3,2,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,6,2,3,7,8]=>[8,7,3,2,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,2,6,7,3,8]=>[8,3,7,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,2,6,7,3,8]=>[8,3,7,6,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,6,2,7,3,8]=>[8,3,7,2,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,1,2,7,3,8]=>[8,3,7,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,6,7,2,3,8]=>[8,3,2,7,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,6,7,2,3,8]=>[8,3,2,7,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,1,7,2,3,8]=>[8,3,2,7,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,2,6,7,8,3]=>[3,8,7,6,2,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,1,2,6,7,8,3]=>[3,8,7,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,5,6,2,7,8,3]=>[3,8,7,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,1,6,2,7,8,3]=>[3,8,7,2,6,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,6,1,2,7,8,3]=>[3,8,7,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,5,6,7,2,8,3]=>[3,8,2,7,6,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,1,6,7,2,8,3]=>[3,8,2,7,6,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,6,1,7,2,8,3]=>[3,8,2,7,1,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,6,7,1,2,8,3]=>[3,8,2,1,7,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,5,6,7,8,2,3]=>[3,2,8,7,6,5,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,5,1,6,7,8,2,3]=>[3,2,8,7,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,5,6,1,7,8,2,3]=>[3,2,8,7,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,5,6,7,1,8,2,3]=>[3,2,8,1,7,6,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,1,2,7,3,8,6]=>[6,8,3,7,2,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,5,7,2,3,8,6]=>[6,8,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,1,7,2,3,8,6]=>[6,8,3,2,7,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,1,2,7,8,3,6]=>[6,3,8,7,2,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,5,7,8,2,3,6]=>[6,3,2,8,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,5,7,1,8,2,3,6]=>[6,3,2,8,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,5,7,8,1,2,3,6]=>[6,3,2,1,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,1,5,2,7,3,6,8]=>[8,6,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,2,7,3,6,8]=>[8,6,3,7,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,7,2,3,6,8]=>[8,6,3,2,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,7,2,3,6,8]=>[8,6,3,2,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,1,2,3,6,8]=>[8,6,3,2,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,5,3,7,6,8]=>[8,6,7,3,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,5,3,7,6,8]=>[8,6,7,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,5,7,3,6,8]=>[8,6,3,7,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,5,7,3,6,8]=>[8,6,3,7,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,7,2,3,6,8]=>[8,6,3,2,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,2,3,7,8,6]=>[6,8,7,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,1,2,3,7,8,6]=>[6,8,7,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,5,3,7,8,6]=>[6,8,7,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,2,5,3,7,8,6]=>[6,8,7,3,5,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,5,7,3,8,6]=>[6,8,3,7,5,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,2,5,7,3,8,6]=>[6,8,3,7,5,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,5,2,7,3,8,6]=>[6,8,3,7,2,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,5,7,2,3,8,6]=>[6,8,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,5,7,8,3,6]=>[6,3,8,7,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,2,5,7,8,3,6]=>[6,3,8,7,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,5,2,7,8,3,6]=>[6,3,8,7,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,5,7,8,2,3,6]=>[6,3,2,8,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,1,5,2,8,3,6,7]=>[7,6,3,8,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,1,2,8,3,6,7]=>[7,6,3,8,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,5,8,2,3,6,7]=>[7,6,3,2,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,1,8,2,3,6,7]=>[7,6,3,2,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,8,1,2,3,6,7]=>[7,6,3,2,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,1,5,2,3,8,6,7]=>[7,6,8,3,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,1,2,3,8,6,7]=>[7,6,8,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,5,3,8,6,7]=>[7,6,8,3,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,2,5,3,8,6,7]=>[7,6,8,3,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,5,2,3,8,6,7]=>[7,6,8,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,5,8,3,6,7]=>[7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,2,5,8,3,6,7]=>[7,6,3,8,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,5,8,2,3,6,7]=>[7,6,3,2,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,1,2,3,6,8,7]=>[7,8,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,5,2,3,6,8,7]=>[7,8,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,5,6,3,8,7]=>[7,8,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,5,2,6,3,8,7]=>[7,8,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,5,6,2,3,8,7]=>[7,8,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,5,6,8,3,7]=>[7,3,8,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,5,6,2,8,3,7]=>[7,3,8,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,5,6,8,2,3,7]=>[7,3,2,8,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,5,3,6,7,8]=>[8,7,6,3,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,5,6,3,7,8]=>[8,7,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,5,6,3,7,8]=>[8,7,3,6,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,5,6,7,3,8]=>[8,3,7,6,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,2,6,7,3,8]=>[8,3,7,6,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,6,2,7,3,8]=>[8,3,7,2,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,5,6,7,8,3]=>[3,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,2,5,6,7,8,3]=>[3,8,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,5,2,6,7,8,3]=>[3,8,7,6,2,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,5,6,2,7,8,3]=>[3,8,7,2,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,5,6,7,2,8,3]=>[3,8,2,7,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,6,1,2,7,3,8,5]=>[5,8,3,7,2,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,6,1,7,2,3,8,5]=>[5,8,3,2,7,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,6,7,1,2,3,8,5]=>[5,8,3,2,1,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,1,6,7,2,8,3,5]=>[5,3,8,2,7,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,6,7,1,2,8,3,5]=>[5,3,8,2,1,7,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,6,1,7,8,2,3,5]=>[5,3,2,8,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [4,1,6,2,7,3,5,8]=>[8,5,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,2,7,3,5,8]=>[8,5,3,7,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,7,2,3,5,8]=>[8,5,3,2,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,7,2,3,5,8]=>[8,5,3,2,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,7,1,2,3,5,8]=>[8,5,3,2,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,2,3,7,5,8]=>[8,5,7,3,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,6,7,3,5,8]=>[8,5,3,7,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,2,3,7,8,5]=>[5,8,7,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,6,1,2,3,7,8,5]=>[5,8,7,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,2,6,3,7,8,5]=>[5,8,7,3,6,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,6,2,3,7,8,5]=>[5,8,7,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,2,6,7,3,8,5]=>[5,8,3,7,6,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,2,6,7,3,8,5]=>[5,8,3,7,6,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,6,2,7,3,8,5]=>[5,8,3,7,2,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,6,7,2,3,8,5]=>[5,8,3,2,7,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,2,6,7,8,3,5]=>[5,3,8,7,6,2,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,4,2,6,7,8,3,5]=>[5,3,8,7,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,4,6,2,7,8,3,5]=>[5,3,8,7,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,4,6,7,2,8,3,5]=>[5,3,8,2,7,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,4,6,7,8,2,3,5]=>[5,3,2,8,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,6,1,2,8,3,5,7]=>[7,5,3,8,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,6,8,2,3,5,7]=>[7,5,3,2,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,1,8,2,3,5,7]=>[7,5,3,2,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,1,6,2,3,8,5,7]=>[7,5,8,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,1,2,3,8,5,7]=>[7,5,8,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,6,2,3,8,5,7]=>[7,5,8,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,6,8,3,5,7]=>[7,5,3,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,2,6,8,3,5,7]=>[7,5,3,8,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,6,2,8,3,5,7]=>[7,5,3,8,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,6,2,3,5,8,7]=>[7,8,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,1,2,3,5,8,7]=>[7,8,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,6,3,5,8,7]=>[7,8,5,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,2,6,3,5,8,7]=>[7,8,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,6,2,3,5,8,7]=>[7,8,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,6,3,5,8,7]=>[7,8,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,3,6,8,5,7]=>[7,5,8,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,2,3,6,8,5,7]=>[7,5,8,6,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,3,6,8,5,7]=>[7,5,8,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,6,3,8,5,7]=>[7,5,8,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,6,8,3,5,7]=>[7,5,3,8,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,6,2,3,5,7,8]=>[8,7,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,2,3,5,7,8]=>[8,7,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,6,3,5,7,8]=>[8,7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,3,6,5,7,8]=>[8,7,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,3,6,5,7,8]=>[8,7,5,6,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,3,6,7,5,8]=>[8,5,7,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,6,3,7,5,8]=>[8,5,7,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,6,7,3,5,8]=>[8,5,3,7,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,2,3,6,7,8,5]=>[5,8,7,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,4,6,3,7,8,5]=>[5,8,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,4,6,7,3,8,5]=>[5,8,3,7,6,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,1,7,2,8,3,5,6]=>[6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,1,2,8,3,5,6]=>[6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,7,8,1,2,3,5,6]=>[6,5,3,2,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,1,7,2,3,8,5,6]=>[6,5,8,3,2,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,1,2,3,8,5,6]=>[6,5,8,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,7,3,8,5,6]=>[6,5,8,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,2,7,3,8,5,6]=>[6,5,8,3,7,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,7,8,3,5,6]=>[6,5,3,8,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,4,2,7,8,3,5,6]=>[6,5,3,8,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,4,7,2,8,3,5,6]=>[6,5,3,8,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,1,7,2,3,5,8,6]=>[6,8,5,3,2,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,7,3,5,8,6]=>[6,8,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,2,7,3,5,8,6]=>[6,8,5,3,7,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,3,7,5,8,6]=>[6,8,5,7,3,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,4,3,7,5,8,6]=>[6,8,5,7,3,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,4,7,3,5,8,6]=>[6,8,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,3,7,8,5,6]=>[6,5,8,7,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,2,3,7,8,5,6]=>[6,5,8,7,3,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,4,3,7,8,5,6]=>[6,5,8,7,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,4,7,3,8,5,6]=>[6,5,8,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,7,2,3,5,6,8]=>[8,6,5,3,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,2,3,5,6,8]=>[8,6,5,3,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,7,3,5,6,8]=>[8,6,5,3,7,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,7,3,5,6,8]=>[8,6,5,3,7,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,7,3,5,6,8]=>[8,6,5,3,7,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,3,5,7,6,8]=>[8,6,7,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,3,5,7,6,8]=>[8,6,7,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,3,5,7,8,6]=>[6,8,7,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,4,5,7,3,8,6]=>[6,8,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,4,5,7,8,3,6]=>[6,3,8,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,4,2,8,3,5,6,7]=>[7,6,5,3,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,8,2,3,5,6,7]=>[7,6,5,3,2,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,2,3,8,5,6,7]=>[7,6,5,8,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,4,3,8,5,6,7]=>[7,6,5,8,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,4,8,3,5,6,7]=>[7,6,5,3,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,2,3,5,8,6,7]=>[7,6,8,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,2,3,5,8,6,7]=>[7,6,8,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,3,5,8,6,7]=>[7,6,8,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,5,3,8,6,7]=>[7,6,8,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,5,8,3,6,7]=>[7,6,3,8,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,2,3,5,6,8,7]=>[7,8,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,2,3,5,6,8,7]=>[7,8,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,5,6,8,3,7]=>[7,3,8,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,1,2,7,3,8,4]=>[4,8,3,7,2,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,1,7,2,3,8,4]=>[4,8,3,2,7,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,7,1,2,3,8,4]=>[4,8,3,2,1,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,6,2,7,8,3,4]=>[4,3,8,7,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,1,6,7,2,8,3,4]=>[4,3,8,2,7,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,7,1,2,8,3,4]=>[4,3,8,2,1,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,1,6,7,8,2,3,4]=>[4,3,2,8,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,6,1,7,8,2,3,4]=>[4,3,2,8,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,1,6,2,7,3,4,8]=>[8,4,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,2,7,3,4,8]=>[8,4,3,7,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,7,2,3,4,8]=>[8,4,3,2,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,7,2,3,4,8]=>[8,4,3,2,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,2,3,7,4,8]=>[8,4,7,3,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,6,3,7,4,8]=>[8,4,7,3,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,6,7,3,4,8]=>[8,4,3,7,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,2,3,7,8,4]=>[4,8,7,3,2,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,1,2,3,7,8,4]=>[4,8,7,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,2,6,3,7,8,4]=>[4,8,7,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,6,2,3,7,8,4]=>[4,8,7,3,2,6,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,2,6,7,3,8,4]=>[4,8,3,7,6,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,6,7,2,3,8,4]=>[4,8,3,2,7,6,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,5,2,6,7,8,3,4]=>[4,3,8,7,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,5,6,2,7,8,3,4]=>[4,3,8,7,2,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,5,6,7,2,8,3,4]=>[4,3,8,2,7,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,1,6,2,8,3,4,7]=>[7,4,3,8,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,1,2,8,3,4,7]=>[7,4,3,8,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,6,8,2,3,4,7]=>[7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,1,8,2,3,4,7]=>[7,4,3,2,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,8,1,2,3,4,7]=>[7,4,3,2,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,6,2,3,8,4,7]=>[7,4,8,3,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,1,2,3,8,4,7]=>[7,4,8,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,2,6,3,8,4,7]=>[7,4,8,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,6,3,8,4,7]=>[7,4,8,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,6,2,3,8,4,7]=>[7,4,8,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,2,6,8,3,4,7]=>[7,4,3,8,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,2,6,8,3,4,7]=>[7,4,3,8,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,6,2,8,3,4,7]=>[7,4,3,8,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,1,2,3,4,8,7]=>[7,8,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,2,6,3,4,8,7]=>[7,8,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,6,3,4,8,7]=>[7,8,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,5,6,2,3,4,8,7]=>[7,8,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,2,3,6,4,8,7]=>[7,8,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,5,6,3,4,8,7]=>[7,8,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,5,3,6,8,4,7]=>[7,4,8,6,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,5,6,3,8,4,7]=>[7,4,8,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,6,2,3,4,7,8]=>[8,7,4,3,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,6,3,4,7,8]=>[8,7,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,6,3,4,7,8]=>[8,7,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,3,6,4,7,8]=>[8,7,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,3,6,4,7,8]=>[8,7,4,6,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,3,6,7,4,8]=>[8,4,7,6,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,6,3,7,4,8]=>[8,4,7,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,6,7,3,4,8]=>[8,4,3,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,2,3,6,7,8,4]=>[4,8,7,6,3,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,5,3,6,7,8,4]=>[4,8,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,5,6,3,7,8,4]=>[4,8,7,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,5,6,7,3,8,4]=>[4,8,3,7,6,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,1,7,2,8,3,4,6]=>[6,4,3,8,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,7,1,2,8,3,4,6]=>[6,4,3,8,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,1,7,8,2,3,4,6]=>[6,4,3,2,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,1,8,2,3,4,6]=>[6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,8,1,2,3,4,6]=>[6,4,3,2,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,1,7,2,3,8,4,6]=>[6,4,8,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,7,1,2,3,8,4,6]=>[6,4,8,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,1,2,7,3,8,4,6]=>[6,4,8,3,7,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,5,2,7,3,8,4,6]=>[6,4,8,3,7,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,1,2,7,8,3,4,6]=>[6,4,3,8,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,2,7,8,3,4,6]=>[6,4,3,8,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,7,2,8,3,4,6]=>[6,4,3,8,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,7,8,2,3,4,6]=>[6,4,3,2,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,1,7,2,3,4,8,6]=>[6,8,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,7,1,2,3,4,8,6]=>[6,8,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,2,7,3,4,8,6]=>[6,8,4,3,7,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,7,2,3,4,8,6]=>[6,8,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,2,3,7,4,8,6]=>[6,8,4,7,3,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,2,3,7,4,8,6]=>[6,8,4,7,3,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,5,3,7,4,8,6]=>[6,8,4,7,3,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,5,7,3,4,8,6]=>[6,8,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,2,3,7,8,4,6]=>[6,4,8,7,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,5,2,3,7,8,4,6]=>[6,4,8,7,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,5,3,7,8,4,6]=>[6,4,8,7,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,5,7,3,8,4,6]=>[6,4,8,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,7,3,4,6,8]=>[8,6,4,3,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,3,7,4,6,8]=>[8,6,4,7,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,7,3,4,6,8]=>[8,6,4,3,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,3,4,7,6,8]=>[8,6,7,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,3,4,7,6,8]=>[8,6,7,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,3,4,7,6,8]=>[8,6,7,4,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,3,4,7,8,6]=>[6,8,7,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,2,3,4,7,8,6]=>[6,8,7,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,5,3,4,7,8,6]=>[6,8,7,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,5,7,4,8,6]=>[6,8,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,5,7,8,4,6]=>[6,4,8,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,1,8,2,3,4,6,7]=>[7,6,4,3,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,2,8,3,4,6,7]=>[7,6,4,3,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,8,2,3,4,6,7]=>[7,6,4,3,2,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,2,3,8,4,6,7]=>[7,6,4,8,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,2,3,8,4,6,7]=>[7,6,4,8,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,5,3,8,4,6,7]=>[7,6,4,8,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,5,8,3,4,6,7]=>[7,6,4,3,8,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,1,2,3,4,8,6,7]=>[7,6,8,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,3,4,8,6,7]=>[7,6,8,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,5,3,4,8,6,7]=>[7,6,8,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,3,5,4,8,6,7]=>[7,6,8,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,3,5,8,4,6,7]=>[7,6,4,8,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,3,4,6,8,7]=>[7,8,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,5,3,4,6,8,7]=>[7,8,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,2,8,3,4,5]=>[5,4,3,8,2,7,1,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,7,1,2,8,3,4,5]=>[5,4,3,8,2,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,1,7,8,2,3,4,5]=>[5,4,3,2,8,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,7,1,8,2,3,4,5]=>[5,4,3,2,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,1,7,2,3,8,4,5]=>[5,4,8,3,2,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,7,1,2,3,8,4,5]=>[5,4,8,3,2,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,1,2,7,3,8,4,5]=>[5,4,8,3,7,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,6,2,7,3,8,4,5]=>[5,4,8,3,7,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,6,7,2,3,8,4,5]=>[5,4,8,3,2,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,6,7,2,8,3,4,5]=>[5,4,3,8,2,7,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,1,7,2,3,4,8,5]=>[5,8,4,3,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,1,2,3,4,8,5]=>[5,8,4,3,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,2,7,3,4,8,5]=>[5,8,4,3,7,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,6,2,7,3,4,8,5]=>[5,8,4,3,7,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,6,7,2,3,4,8,5]=>[5,8,4,3,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,2,3,7,4,8,5]=>[5,8,4,7,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,6,2,3,7,4,8,5]=>[5,8,4,7,3,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,6,3,7,4,8,5]=>[5,8,4,7,3,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,6,7,3,4,8,5]=>[5,8,4,3,7,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,2,3,7,8,4,5]=>[5,4,8,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,6,2,3,7,8,4,5]=>[5,4,8,7,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,2,6,3,7,8,4,5]=>[5,4,8,7,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,2,6,7,8,3,4,5]=>[5,4,3,8,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,1,7,2,3,4,5,8]=>[8,5,4,3,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,7,3,4,5,8]=>[8,5,4,3,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,2,7,3,4,5,8]=>[8,5,4,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,3,7,4,5,8]=>[8,5,4,7,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,3,7,4,5,8]=>[8,5,4,7,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,7,3,4,5,8]=>[8,5,4,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,3,4,7,5,8]=>[8,5,7,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,3,4,7,5,8]=>[8,5,7,4,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,6,4,7,5,8]=>[8,5,7,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,3,4,7,8,5]=>[5,8,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,6,3,4,7,8,5]=>[5,8,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,3,6,4,7,8,5]=>[5,8,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,3,6,7,4,8,5]=>[5,8,4,7,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,2,8,3,4,5,7]=>[7,5,4,3,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,2,8,3,4,5,7]=>[7,5,4,3,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,8,2,3,4,5,7]=>[7,5,4,3,2,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,2,3,8,4,5,7]=>[7,5,4,8,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,6,3,8,4,5,7]=>[7,5,4,8,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,6,8,3,4,5,7]=>[7,5,4,3,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,1,2,3,4,8,5,7]=>[7,5,8,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,2,3,4,8,5,7]=>[7,5,8,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,6,3,4,8,5,7]=>[7,5,8,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,3,6,4,8,5,7]=>[7,5,8,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,3,6,8,4,5,7]=>[7,5,4,8,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,6,2,3,4,5,8,7]=>[7,8,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,6,3,4,5,8,7]=>[7,8,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,3,4,6,8,5,7]=>[7,5,8,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,2,3,8,4,5,6]=>[6,5,4,8,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,7,2,3,8,4,5,6]=>[6,5,4,8,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,2,7,3,8,4,5,6]=>[6,5,4,8,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,7,2,3,4,8,5,6]=>[6,5,8,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,7,4,8,5,6]=>[6,5,8,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,7,8,4,5,6]=>[6,5,4,8,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,7,2,3,4,5,8,6]=>[6,8,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,7,3,4,5,8,6]=>[6,8,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,7,4,5,8,6]=>[6,8,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,4,7,5,8,6]=>[6,8,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,2,3,1]=>2 [5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,2,3,1]=>2 [4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>1 [7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>1 [5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1,1]=>2 [4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>2 [5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>2 [6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>2 [2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [6,3,2,5,4,1,8,7,10,9]=>[9,10,7,8,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [8,3,2,5,4,7,6,1,10,9]=>[9,10,1,6,7,4,5,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [10,3,2,5,4,7,6,9,8,1]=>[1,8,9,6,7,4,5,2,3,10]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,7,1,1]=>1 [2,1,6,5,4,3,8,7,10,9]=>[9,10,7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [8,5,4,3,2,7,6,1,10,9]=>[9,10,1,6,7,2,3,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [10,5,4,3,2,7,6,9,8,1]=>[1,8,9,6,7,2,3,4,5,10]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,7,1,1]=>1 [2,1,8,5,4,7,6,3,10,9]=>[9,10,3,6,7,4,5,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [8,7,4,3,6,5,2,1,10,9]=>[9,10,1,2,5,6,3,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [10,7,4,3,6,5,2,9,8,1]=>[1,8,9,2,5,6,3,4,7,10]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,7,1,1]=>1 [8,9,5,6,3,4,10,1,2,7]=>[7,2,1,10,4,3,6,5,9,8]=>[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[7,3]=>7 [2,1,4,3,8,7,6,5,10,9]=>[9,10,5,6,7,8,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [8,3,2,7,6,5,4,1,10,9]=>[9,10,1,4,5,6,7,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [10,3,2,7,6,5,4,9,8,1]=>[1,8,9,4,5,6,7,2,3,10]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,7,1,1]=>1 [2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [9,7,6,5,4,3,2,10,1,8]=>[8,1,10,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,2]=>8 [10,7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7,10]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,7,1,1]=>1 [10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,2,2,1]=>1 [6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,5]=>5 [7,3,2,8,9,10,1,4,5,6]=>[6,5,4,1,10,9,8,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[6,4]=>6 [8,5,4,3,2,9,10,1,6,7]=>[7,6,1,10,9,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[7,3]=>7 [2,1,4,3,6,5,10,9,8,7]=>[7,8,9,10,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1,1]=>7 [4,3,2,1,6,5,10,9,8,7]=>[7,8,9,10,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1,1]=>7 [6,3,2,5,4,1,10,9,8,7]=>[7,8,9,10,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1,1]=>7 [2,1,6,5,4,3,10,9,8,7]=>[7,8,9,10,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1,1]=>7 [6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1,1]=>7 [9,7,5,10,3,8,2,6,1,4]=>[4,1,6,2,8,3,10,5,7,9]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2,2]=>4 [2,1,4,3,10,9,8,7,6,5]=>[5,6,7,8,9,10,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1,1,1]=>5 [4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1,1,1]=>5 [2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1,1,1]=>3 [9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,1,2]=>2 [10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,1]=>1 [3,2,5,1,4,6,7,8]=>[8,7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,1,4,5,7,8]=>[8,7,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,1,3,4,7,8]=>[8,7,4,3,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,1,2,4,7,8]=>[8,7,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,1,3,5,7,8]=>[8,7,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,1,3,4,7,8]=>[8,7,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,1,2,4,7,8]=>[8,7,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,1,4,5,6,8]=>[8,6,5,4,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,1,3,4,6,8]=>[8,6,4,3,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,7,1,2,3,6,8]=>[8,6,3,2,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,1,3,4,5,8]=>[8,5,4,3,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,7,1,2,4,5,8]=>[8,5,4,2,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,1,2,4,6,8]=>[8,6,4,2,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,1,2,4,5,8]=>[8,5,4,2,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,6,1,2,3,5,8]=>[8,5,3,2,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,8,1,4,5,6,7]=>[7,6,5,4,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,2,8,1,3,5,6,7]=>[7,6,5,3,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,8,1,3,4,6,7]=>[7,6,4,3,1,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,8,1,2,4,6,7]=>[7,6,4,2,1,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,8,1,2,3,6,7]=>[7,6,3,2,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,8,1,3,4,5,7]=>[7,5,4,3,1,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,8,1,2,4,5,7]=>[7,5,4,2,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,4,8,1,2,3,5,7]=>[7,5,3,2,1,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,5,8,1,2,3,4,6]=>[6,4,3,2,1,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [3,2,5,7,1,4,6,8]=>[8,6,4,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,7,1,3,6,8]=>[8,6,3,1,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,7,1,3,6,8]=>[8,6,3,1,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,7,1,4,5,8]=>[8,5,4,1,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,7,1,2,5,8]=>[8,5,2,1,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,7,1,3,5,8]=>[8,5,3,1,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,7,1,3,4,8]=>[8,4,3,1,7,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,6,1,2,5,8]=>[8,5,2,1,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,6,1,2,4,8]=>[8,4,2,1,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,8,1,4,6,7]=>[7,6,4,1,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,5,8,1,3,6,7]=>[7,6,3,1,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,5,8,1,2,6,7]=>[7,6,2,1,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,4,8,1,3,6,7]=>[7,6,3,1,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,4,8,1,2,6,7]=>[7,6,2,1,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,6,8,1,3,5,7]=>[7,5,3,1,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,6,8,1,2,5,7]=>[7,5,2,1,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,6,8,1,3,4,7]=>[7,4,3,1,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,6,8,1,2,4,7]=>[7,4,2,1,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,6,8,1,2,3,7]=>[7,3,2,1,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,2,4,8,1,3,5,7]=>[7,5,3,1,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,4,8,1,2,5,7]=>[7,5,2,1,8,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,2,5,8,1,3,4,7]=>[7,4,3,1,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,5,8,1,2,3,7]=>[7,3,2,1,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,3,7,8,1,2,5,6]=>[6,5,2,1,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,3,7,8,1,2,4,6]=>[6,4,2,1,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,4,7,8,1,2,3,6]=>[6,3,2,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,3,7,8,1,2,4,5]=>[5,4,2,1,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,2,4,8,1,3,5,6]=>[6,5,3,1,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,3,4,8,1,2,5,6]=>[6,5,2,1,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,5,8,1,3,4,6]=>[6,4,3,1,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,3,5,8,1,2,4,6]=>[6,4,2,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,4,5,8,1,2,3,6]=>[6,3,2,1,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,4,6,8,1,2,3,5]=>[5,3,2,1,8,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [8,2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [8,3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [8,4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [3,6,2,5,1,4,7,8]=>[8,7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,5,1,3,7,8]=>[8,7,3,1,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,5,1,2,7,8]=>[8,7,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,4,1,3,7,8]=>[8,7,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,5,1,4,6,8]=>[8,6,4,1,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,2,4,1,3,6,8]=>[8,6,3,1,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,6,1,4,5,8]=>[8,5,4,1,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,6,1,2,3,8]=>[8,3,2,1,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,5,1,2,4,8]=>[8,4,2,1,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,2,5,1,4,6,7]=>[7,6,4,1,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,2,5,1,3,6,7]=>[7,6,3,1,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,2,4,1,3,6,7]=>[7,6,3,1,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,3,4,1,2,6,7]=>[7,6,2,1,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,2,6,1,4,5,7]=>[7,5,4,1,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,2,6,1,3,4,7]=>[7,4,3,1,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,4,6,1,2,3,7]=>[7,3,2,1,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,3,4,1,2,5,7]=>[7,5,2,1,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,4,5,1,2,3,7]=>[7,3,2,1,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,2,7,1,4,5,6]=>[6,5,4,1,7,2,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,8,2,7,1,3,5,6]=>[6,5,3,1,7,2,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [6,8,2,7,1,3,4,5]=>[5,4,3,1,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [6,8,4,7,1,2,3,5]=>[5,3,2,1,7,4,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [7,8,2,4,1,3,5,6]=>[6,5,3,1,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,5,1,3,4,6]=>[6,4,3,1,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,6,1,3,4,5]=>[5,4,3,1,6,2,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,4,6,1,2,3,5]=>[5,3,2,1,6,4,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [4,3,2,6,1,5,7,8]=>[8,7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,6,1,3,7,8]=>[8,7,3,1,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,5,1,4,7,8]=>[8,7,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,5,1,3,7,8]=>[8,7,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,4,1,3,7,8]=>[8,7,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,7,1,5,6,8]=>[8,6,5,1,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,7,1,4,6,8]=>[8,6,4,1,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,7,1,3,6,8]=>[8,6,3,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,7,1,2,6,8]=>[8,6,2,1,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,7,1,4,5,8]=>[8,5,4,1,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,7,1,2,5,8]=>[8,5,2,1,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,5,1,4,6,8]=>[8,6,4,1,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,5,1,3,6,8]=>[8,6,3,1,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,4,1,3,6,8]=>[8,6,3,1,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,6,1,4,5,8]=>[8,5,4,1,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,6,1,3,5,8]=>[8,5,3,1,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,6,1,2,5,8]=>[8,5,2,1,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,6,1,3,4,8]=>[8,4,3,1,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,6,1,2,4,8]=>[8,4,2,1,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,5,1,2,4,8]=>[8,4,2,1,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,8,1,5,6,7]=>[7,6,5,1,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,2,8,1,4,6,7]=>[7,6,4,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,2,8,1,3,6,7]=>[7,6,3,1,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,3,8,1,2,6,7]=>[7,6,2,1,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,2,8,1,4,5,7]=>[7,5,4,1,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,3,8,1,2,5,7]=>[7,5,2,1,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,2,8,1,3,4,7]=>[7,4,3,1,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,3,8,1,2,4,7]=>[7,4,2,1,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,4,8,1,2,3,7]=>[7,3,2,1,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,4,2,8,1,3,5,6]=>[6,5,3,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,5,2,8,1,3,4,6]=>[6,4,3,1,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,5,3,8,1,2,4,6]=>[6,4,2,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,5,4,8,1,2,3,6]=>[6,3,2,1,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,6,3,8,1,2,4,5]=>[5,4,2,1,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,6,4,8,1,2,3,5]=>[5,3,2,1,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [8,3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [8,6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [8,7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [3,6,2,5,8,1,4,7]=>[7,4,1,8,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,2,4,8,1,3,7]=>[7,3,1,8,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,7,2,5,8,1,4,6]=>[6,4,1,8,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,2,5,8,1,3,6]=>[6,3,1,8,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,3,5,8,1,2,6]=>[6,2,1,8,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,7,2,4,8,1,3,6]=>[6,3,1,8,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,7,3,4,8,1,2,6]=>[6,2,1,8,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,2,6,8,1,4,5]=>[5,4,1,8,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,7,2,6,8,1,3,5]=>[5,3,1,8,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,7,3,6,8,1,2,5]=>[5,2,1,8,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,7,2,6,8,1,3,4]=>[4,3,1,8,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,7,3,6,8,1,2,4]=>[4,2,1,8,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,7,4,6,8,1,2,3]=>[3,2,1,8,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,7,2,5,8,1,3,4]=>[4,3,1,8,5,2,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,8,2,5,7,1,4,6]=>[6,4,1,7,5,2,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,2,5,7,1,3,6]=>[6,3,1,7,5,2,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,3,5,7,1,2,6]=>[6,2,1,7,5,3,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,3,4,7,1,2,6]=>[6,2,1,7,4,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,8,2,6,7,1,4,5]=>[5,4,1,7,6,2,8,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [4,8,3,6,7,1,2,5]=>[5,2,1,7,6,3,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [5,8,2,6,7,1,3,4]=>[4,3,1,7,6,2,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [5,8,4,6,7,1,2,3]=>[3,2,1,7,6,4,8,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [6,8,3,4,7,1,2,5]=>[5,2,1,7,4,3,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,2,5,7,1,3,4]=>[4,3,1,7,5,2,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [6,8,4,5,7,1,2,3]=>[3,2,1,7,5,4,8,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,3,5,6,1,2,4]=>[4,2,1,6,5,3,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [4,3,2,6,8,1,5,7]=>[7,5,1,8,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,2,6,8,1,4,7]=>[7,4,1,8,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,2,6,8,1,3,7]=>[7,3,1,8,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,3,6,8,1,2,7]=>[7,2,1,8,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,3,2,5,8,1,4,7]=>[7,4,1,8,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,3,5,8,1,2,7]=>[7,2,1,8,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,2,4,8,1,3,7]=>[7,3,1,8,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,3,4,8,1,2,7]=>[7,2,1,8,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,2,7,8,1,5,6]=>[6,5,1,8,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,4,2,7,8,1,3,6]=>[6,3,1,8,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,4,3,7,8,1,2,6]=>[6,2,1,8,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,4,2,7,8,1,3,5]=>[5,3,1,8,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,4,3,7,8,1,2,5]=>[5,2,1,8,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,5,2,7,8,1,3,4]=>[4,3,1,8,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,5,3,7,8,1,2,4]=>[4,2,1,8,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,3,2,5,8,1,4,6]=>[6,4,1,8,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,5,3,4,8,1,2,6]=>[6,2,1,8,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,2,6,8,1,3,5]=>[5,3,1,8,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,5,2,6,8,1,3,4]=>[4,3,1,8,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,5,3,6,8,1,2,4]=>[4,2,1,8,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,6,2,4,8,1,3,5]=>[5,3,1,8,4,2,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,6,2,5,8,1,3,4]=>[4,3,1,8,5,2,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,6,3,5,8,1,2,4]=>[4,2,1,8,5,3,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [8,6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [8,6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [4,3,7,2,6,1,5,8]=>[8,5,1,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,2,6,1,4,8]=>[8,4,1,6,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,7,2,6,1,3,8]=>[8,3,1,6,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,7,2,5,1,4,8]=>[8,4,1,5,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,7,3,5,1,2,8]=>[8,2,1,5,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,2,4,1,3,8]=>[8,3,1,4,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,8,2,6,1,5,7]=>[7,5,1,6,2,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,8,2,6,1,4,7]=>[7,4,1,6,2,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,8,2,6,1,3,7]=>[7,3,1,6,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,4,8,2,5,1,3,7]=>[7,3,1,5,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,4,8,3,5,1,2,7]=>[7,2,1,5,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,8,2,7,1,5,6]=>[6,5,1,7,2,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [6,4,8,2,7,1,3,5]=>[5,3,1,7,2,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [6,4,8,3,7,1,2,5]=>[5,2,1,7,3,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [6,5,8,2,7,1,3,4]=>[4,3,1,7,2,8,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [6,5,8,3,7,1,2,4]=>[4,2,1,7,3,8,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [6,5,8,4,7,1,2,3]=>[3,2,1,7,4,8,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>3 [7,3,8,2,5,1,4,6]=>[6,4,1,5,2,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,4,8,2,5,1,3,6]=>[6,3,1,5,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,4,8,3,5,1,2,6]=>[6,2,1,5,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,5,8,2,4,1,3,6]=>[6,3,1,4,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,5,8,3,4,1,2,6]=>[6,2,1,4,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,3,8,2,6,1,4,5]=>[5,4,1,6,2,8,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,4,8,2,6,1,3,5]=>[5,3,1,6,2,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,4,8,3,6,1,2,5]=>[5,2,1,6,3,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,5,8,3,6,1,2,4]=>[4,2,1,6,3,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,5,8,4,6,1,2,3]=>[3,2,1,6,4,8,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,6,8,2,4,1,3,5]=>[5,3,1,4,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [7,6,8,2,5,1,3,4]=>[4,3,1,5,2,8,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [8,3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5,8]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5,8]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5,8]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [8,6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6,8]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [8,6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6,8]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,2,7,1,4,8]=>[8,4,1,7,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,2,7,1,3,8]=>[8,3,1,7,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,2,6,1,5,8]=>[8,5,1,6,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,2,6,1,4,8]=>[8,4,1,6,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,2,6,1,3,8]=>[8,3,1,6,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,2,5,1,4,8]=>[8,4,1,5,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,2,5,1,3,8]=>[8,3,1,5,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,3,2,8,1,5,7]=>[7,5,1,8,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,3,2,8,1,4,7]=>[7,4,1,8,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,4,2,8,1,3,7]=>[7,3,1,8,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,4,3,8,1,2,7]=>[7,2,1,8,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,4,3,2,8,1,5,6]=>[6,5,1,8,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,5,3,2,8,1,4,6]=>[6,4,1,8,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,5,4,2,8,1,3,6]=>[6,3,1,8,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,6,3,2,8,1,4,5]=>[5,4,1,8,2,3,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,6,4,2,8,1,3,5]=>[5,3,1,8,2,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,6,4,3,8,1,2,5]=>[5,2,1,8,3,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,6,5,2,8,1,3,4]=>[4,3,1,8,2,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,6,5,3,8,1,2,4]=>[4,2,1,8,3,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [8,5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [8,7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,2,3,1]=>2 [7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>3 [7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>2 [7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>3 [5,4,3,8,2,7,1,6]=>[6,1,7,2,8,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,5,4,8,2,7,1,3]=>[3,1,7,2,8,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,5,4,8,3,7,1,2]=>[2,1,7,3,8,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,5,4,8,3,6,1,2]=>[2,1,6,3,8,4,5,7]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [7,6,3,8,2,5,1,4]=>[4,1,5,2,8,3,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [7,6,4,8,3,5,1,2]=>[2,1,5,3,8,4,6,7]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [7,6,5,8,2,4,1,3]=>[3,1,4,2,8,5,6,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [8,4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5,8]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5,8]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [8,6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6,8]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6,8]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>3 [8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7,8]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>3 [6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,6,4,3,2,8,1,5]=>[5,1,8,2,3,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,6,5,3,2,8,1,4]=>[4,1,8,2,3,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7,8]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [5,1,2,3,8,7,4,6]=>[6,4,7,8,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [8,1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,1,2,8,3,7,5,6]=>[6,5,7,3,8,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,1,2,6,3,4,8,5]=>[5,8,4,3,6,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,1,2,5,3,7,8,4]=>[4,8,7,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,2,8,6,3,5,7]=>[7,5,3,6,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,2,8,7,3,5,6]=>[6,5,3,7,8,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,1,2,7,6,3,8,5]=>[5,8,3,6,7,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [7,1,2,5,6,3,8,4]=>[4,8,3,6,5,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,2,5,8,7,3,6]=>[6,3,7,8,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,2,8,6,7,3,5]=>[5,3,7,6,8,2,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [8,1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [3,1,8,2,6,4,5,7]=>[7,5,4,6,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,7,2,6,4,8,5]=>[5,8,4,6,2,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,5,2,8,7,4,6]=>[6,4,7,8,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,1,8,2,6,7,4,5]=>[5,4,7,6,2,8,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,1,4,2,3,5,8,6]=>[6,8,5,3,2,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,1,4,2,3,8,5,7]=>[7,5,8,3,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,1,4,2,3,7,8,5]=>[5,8,7,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [6,1,5,2,3,8,4,7]=>[7,4,8,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,1,8,2,3,7,4,5]=>[5,4,7,3,2,8,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,1,5,2,3,7,8,4]=>[4,8,7,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,4,2,8,3,6,7]=>[7,6,3,8,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,4,2,7,3,8,6]=>[6,8,3,7,2,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,1,4,2,6,3,8,5]=>[5,8,3,6,2,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,1,5,2,6,3,8,4]=>[4,8,3,6,2,5,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,4,2,6,8,3,7]=>[7,3,8,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,2,8,7,3,6]=>[6,3,7,8,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [8,1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,1,4,2,6,7,8,3]=>[3,8,7,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,4,8,2,7,5,6]=>[6,5,7,2,8,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,1,8,6,2,4,5,7]=>[7,5,4,2,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,7,6,2,4,8,5]=>[5,8,4,2,6,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,6,5,2,8,4,7]=>[7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,8,5,2,7,4,6]=>[6,4,7,2,5,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,1,8,6,2,7,4,5]=>[5,4,7,2,6,8,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,1,6,5,2,7,8,4]=>[4,8,7,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,1,4,8,2,3,5,6]=>[6,5,3,2,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,1,4,6,2,3,8,5]=>[5,8,3,2,6,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,1,8,5,2,3,4,6]=>[6,4,3,2,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,8,6,2,3,4,5]=>[5,4,3,2,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [7,1,6,5,2,3,8,4]=>[4,8,3,2,5,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,4,5,2,8,3,7]=>[7,3,8,2,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,1,4,5,2,7,8,3]=>[3,8,7,2,5,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,4,8,6,2,5,7]=>[7,5,2,6,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,4,8,7,2,5,6]=>[6,5,2,7,8,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,1,8,5,7,2,4,6]=>[6,4,2,7,5,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,1,8,7,6,2,4,5]=>[5,4,2,6,7,8,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,1,7,5,6,2,8,4]=>[4,8,2,6,5,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1,8]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [7,1,4,5,6,2,8,3]=>[3,8,2,6,5,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,4,5,8,7,2,6]=>[6,2,7,8,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,1,4,8,6,7,2,5]=>[5,2,7,6,8,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,1,8,5,6,7,2,4]=>[4,2,7,6,5,8,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,8,1,3,4,7,5,6]=>[6,5,7,4,3,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,5,1,3,8,7,4,6]=>[6,4,7,8,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,4,1,8,3,7,5,6]=>[6,5,7,3,8,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,7,1,5,3,4,8,6]=>[6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,8,1,6,3,4,5,7]=>[7,5,4,3,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,1,6,3,4,8,5]=>[5,8,4,3,6,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,1,5,3,7,4,6]=>[6,4,7,3,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,1,6,3,7,4,5]=>[5,4,7,3,6,1,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,6,1,5,3,7,8,4]=>[4,8,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,4,1,8,6,3,5,7]=>[7,5,3,6,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,8,1,5,7,3,4,6]=>[6,4,3,7,5,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,1,7,6,3,4,5]=>[5,4,3,6,7,1,8,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,7,1,5,6,3,8,4]=>[4,8,3,6,5,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,1,5,6,7,3,4]=>[4,3,7,6,5,1,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,3,1,2,4,7,8,5]=>[5,8,7,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,1,2,8,4,6,7]=>[7,6,4,8,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,1,2,7,4,8,6]=>[6,8,4,7,2,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,3,1,2,6,8,4,7]=>[7,4,8,6,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,1,2,8,7,4,6]=>[6,4,7,8,2,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,3,1,2,6,7,8,4]=>[4,8,7,6,2,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,4,1,2,3,5,8,6]=>[6,8,5,3,2,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,4,1,2,3,7,8,5]=>[5,8,7,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,6,1,2,3,4,8,5]=>[5,8,4,3,2,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,8,1,2,3,7,4,6]=>[6,4,7,3,2,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,4,1,2,8,3,6,7]=>[7,6,3,8,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,1,2,7,3,8,6]=>[6,8,3,7,2,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,4,1,2,6,3,8,5]=>[5,8,3,6,2,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,8,1,2,6,3,4,7]=>[7,4,3,6,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,1,2,7,3,4,6]=>[6,4,3,7,2,1,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [5,7,1,2,6,3,8,4]=>[4,8,3,6,2,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,4,1,2,6,8,3,7]=>[7,3,8,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,1,2,8,7,3,6]=>[6,3,7,8,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [8,4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,8,1,2,6,7,3,4]=>[4,3,7,6,2,1,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,4,1,2,6,7,8,3]=>[3,8,7,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,1,8,2,5,6,7]=>[7,6,5,2,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,1,7,2,5,8,6]=>[6,8,5,2,7,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,1,6,2,8,5,7]=>[7,5,8,2,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,1,8,2,7,5,6]=>[6,5,7,2,8,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,1,6,2,7,8,5]=>[5,8,7,2,6,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,1,5,2,4,8,6]=>[6,8,4,2,5,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,3,1,8,2,4,5,6]=>[6,5,4,2,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,3,1,6,2,4,8,5]=>[5,8,4,2,6,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,3,1,5,2,7,8,4]=>[4,8,7,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,4,1,5,2,3,8,6]=>[6,8,3,2,5,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,4,1,8,2,3,5,6]=>[6,5,3,2,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,4,1,6,2,3,8,5]=>[5,8,3,2,6,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,8,1,5,2,3,4,7]=>[7,4,3,2,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [6,7,1,5,2,3,8,4]=>[4,8,3,2,5,1,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,4,1,5,2,8,3,7]=>[7,3,8,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,8,1,5,2,7,3,4]=>[4,3,7,2,5,1,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,4,1,5,2,7,8,3]=>[3,8,7,2,5,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,1,5,8,2,6,7]=>[7,6,2,8,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,1,8,6,2,5,7]=>[7,5,2,6,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,1,8,7,2,5,6]=>[6,5,2,7,8,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,1,7,6,2,8,5]=>[5,8,2,6,7,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [7,3,1,5,6,2,8,4]=>[4,8,2,6,5,1,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [7,8,1,5,6,2,3,4]=>[4,3,2,6,5,1,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,4,1,5,6,2,8,3]=>[3,8,2,6,5,1,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,1,5,6,8,2,7]=>[7,2,8,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,1,5,8,7,2,6]=>[6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,3,1,8,6,7,2,5]=>[5,2,7,6,8,1,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [8,3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [4,3,1,5,6,7,8,2]=>[2,8,7,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,3,7,1,6,4,8,5]=>[5,8,4,6,1,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,5,1,8,7,4,6]=>[6,4,7,8,1,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,3,8,1,6,7,4,5]=>[5,4,7,6,1,8,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,6,4,1,3,8,5,7]=>[7,5,8,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,1,3,7,8,5]=>[5,8,7,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,5,1,3,4,6,7]=>[7,6,4,3,1,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,5,1,3,4,8,6]=>[6,8,4,3,1,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,8,7,1,3,4,5,6]=>[6,5,4,3,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [2,6,5,1,3,8,4,7]=>[7,4,8,3,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,8,5,1,3,7,4,6]=>[6,4,7,3,1,5,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,6,8,1,3,7,4,5]=>[5,4,7,3,1,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,6,5,1,3,7,8,4]=>[4,8,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,4,1,8,3,6,7]=>[7,6,3,8,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,8,4,1,6,3,5,7]=>[7,5,3,6,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,4,1,7,3,5,6]=>[6,5,3,7,1,4,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [2,7,4,1,6,3,8,5]=>[5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,5,1,7,3,4,6]=>[6,4,3,7,1,5,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [2,7,8,1,6,3,4,5]=>[5,4,3,6,1,8,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,5,1,6,3,8,4]=>[4,8,3,6,1,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,4,1,8,7,3,6]=>[6,3,7,8,1,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,8,4,1,6,7,3,5]=>[5,3,7,6,1,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,8,5,1,6,7,3,4]=>[4,3,7,6,1,5,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,5,4,1,6,7,8,3]=>[3,8,7,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,4,1,2,8,5,7]=>[7,5,8,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,5,1,2,4,8,6]=>[6,8,4,2,1,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,3,7,1,2,4,8,5]=>[5,8,4,2,1,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,3,5,1,2,8,4,7]=>[7,4,8,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,3,5,1,2,7,8,4]=>[4,8,7,2,1,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,4,1,2,3,8,6]=>[6,8,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,7,4,1,2,3,8,5]=>[5,8,3,2,1,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,8,5,1,2,3,4,7]=>[7,4,3,2,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,7,5,1,2,3,8,4]=>[4,8,3,2,1,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,5,4,1,2,8,3,7]=>[7,3,8,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,8,4,1,2,7,3,5]=>[5,3,7,2,1,4,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,5,1,2,7,3,4]=>[4,3,7,2,1,5,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,5,4,1,2,7,8,3]=>[3,8,7,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,3,4,1,8,2,6,7]=>[7,6,2,8,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,4,1,7,2,8,6]=>[6,8,2,7,1,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,3,4,1,6,2,8,5]=>[5,8,2,6,1,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,3,8,1,6,2,4,5]=>[5,4,2,6,1,8,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,3,5,1,6,2,8,4]=>[4,8,2,6,1,5,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,5,1,6,2,3,4]=>[4,3,2,6,1,5,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,5,4,1,6,2,8,3]=>[3,8,2,6,1,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,3,4,1,6,8,2,7]=>[7,2,8,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,4,1,8,7,2,6]=>[6,2,7,8,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [8,3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,3,4,1,6,7,8,2]=>[2,8,7,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,3,4,8,1,7,5,6]=>[6,5,7,1,8,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,3,7,5,1,4,8,6]=>[6,8,4,1,5,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,7,6,1,4,8,5]=>[5,8,4,1,6,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,6,5,1,8,4,7]=>[7,4,8,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,8,5,1,7,4,6]=>[6,4,7,1,5,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,3,8,6,1,7,4,5]=>[5,4,7,1,6,8,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,3,6,5,1,7,8,4]=>[4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,4,5,1,3,6,7]=>[7,6,3,1,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,4,5,1,3,8,6]=>[6,8,3,1,5,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,8,4,6,1,3,5,7]=>[7,5,3,1,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,4,8,1,3,5,6]=>[6,5,3,1,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,7,4,6,1,3,8,5]=>[5,8,3,1,6,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,6,5,1,3,4,7]=>[7,4,3,1,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,8,5,1,3,4,6]=>[6,4,3,1,5,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,7,8,6,1,3,4,5]=>[5,4,3,1,6,8,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,6,5,1,3,8,4]=>[4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,6,4,5,1,8,3,7]=>[7,3,8,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,8,4,5,1,7,3,6]=>[6,3,7,1,5,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,4,6,1,7,3,5]=>[5,3,7,1,6,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,8,6,5,1,7,3,4]=>[4,3,7,1,5,6,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,6,4,5,1,7,8,3]=>[3,8,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,3,4,5,1,2,8,6]=>[6,8,2,1,5,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,3,4,6,1,2,8,5]=>[5,8,2,1,6,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,3,8,5,1,2,4,6]=>[6,4,2,1,5,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,3,8,6,1,2,4,5]=>[5,4,2,1,6,8,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [7,3,6,5,1,2,8,4]=>[4,8,2,1,5,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,6,4,5,1,2,8,3]=>[3,8,2,1,5,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,4,5,1,8,2,7]=>[7,2,8,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [6,3,4,5,1,7,8,2]=>[2,8,7,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,3,4,8,6,1,5,7]=>[7,5,1,6,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,4,8,7,1,5,6]=>[6,5,1,7,8,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,3,4,7,6,1,8,5]=>[5,8,1,6,7,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,8,5,6,1,4,7]=>[7,4,1,6,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,3,8,5,7,1,4,6]=>[6,4,1,7,5,8,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [2,3,8,7,6,1,4,5]=>[5,4,1,6,7,8,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [2,3,7,5,6,1,8,4]=>[4,8,1,6,5,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,4,5,6,1,3,7]=>[7,3,1,6,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,4,5,7,1,3,6]=>[6,3,1,7,5,4,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,4,7,6,1,3,5]=>[5,3,1,6,7,4,8,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,7,5,6,1,3,4]=>[4,3,1,6,5,7,8,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [2,7,4,5,6,1,8,3]=>[3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3,8]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [7,3,4,5,6,1,8,2]=>[2,8,1,6,5,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,3,4,5,8,7,1,6]=>[6,1,7,8,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,3,4,8,6,7,1,5]=>[5,1,7,6,8,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,3,8,5,6,7,1,4]=>[4,1,7,6,5,8,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,8,4,5,6,7,1,3]=>[3,1,7,6,5,4,8,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [8,1,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [9,1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>7 [7,1,2,3,4,5,8,9,6]=>[6,9,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [9,1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [9,1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1,9]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[7,1,1]=>7 [6,1,2,3,4,9,8,5,7]=>[7,5,8,9,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[7,1,1]=>7 [9,1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1,9]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[6,2,1]=>6 [6,1,2,3,4,7,8,9,5]=>[5,9,8,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>5 [8,1,2,3,9,4,5,6,7]=>[7,6,5,4,9,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[7,2]=>7 [5,1,2,3,9,8,4,6,7]=>[7,6,4,8,9,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[7,1,1]=>7 [9,1,2,3,6,8,4,5,7]=>[7,5,4,8,6,3,2,1,9]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[7,1,1]=>7 [5,1,2,3,6,9,8,4,7]=>[7,4,8,9,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[7,1,1]=>7 [5,1,2,3,6,7,8,9,4]=>[4,9,8,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,5]=>4 [9,1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [9,1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[7,1,1]=>7 [4,1,2,8,9,3,5,6,7]=>[7,6,5,3,9,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[7,2]=>7 [8,1,2,5,9,3,4,6,7]=>[7,6,4,3,9,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[7,2]=>7 [4,1,2,5,9,8,3,6,7]=>[7,6,3,8,9,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[7,1,1]=>7 [4,1,2,5,6,7,8,9,3]=>[3,9,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [9,1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,1,1]=>7 [3,1,9,8,2,4,5,6,7]=>[7,6,5,4,2,8,9,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[7,1,1]=>7 [9,1,4,8,2,3,5,6,7]=>[7,6,5,3,2,8,4,1,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[7,1,1]=>7 [3,1,4,8,9,2,5,6,7]=>[7,6,5,2,9,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[7,2]=>7 [7,1,4,5,6,2,8,9,3]=>[3,9,8,2,6,5,4,1,7]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [8,1,4,5,6,7,2,9,3]=>[3,9,2,7,6,5,4,1,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [3,1,4,9,6,7,8,2,5]=>[5,2,8,7,6,9,4,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,3,1]=>5 [3,1,9,5,6,7,8,2,4]=>[4,2,8,7,6,5,9,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[4,4,1]=>4 [9,1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1,9]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,5,1]=>3 [3,1,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [2,9,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,9,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [2,4,1,6,3,8,5,9,7]=>[7,9,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [9,3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [9,4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [5,9,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [9,6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>7 [8,7,1,2,3,4,5,9,6]=>[6,9,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [7,6,1,2,3,4,9,5,8]=>[8,5,9,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [9,7,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,7,9]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[6,2,1]=>6 [7,6,1,2,3,4,8,9,5]=>[5,9,8,4,3,2,1,6,7]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>5 [5,6,1,2,3,9,4,7,8]=>[8,7,4,9,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [9,6,1,2,3,7,4,5,8]=>[8,5,4,7,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [5,6,1,2,3,7,9,4,8]=>[8,4,9,7,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [5,4,1,2,9,3,6,7,8]=>[8,7,6,3,9,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [5,9,1,2,6,3,4,7,8]=>[8,7,4,3,6,2,1,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [5,4,1,2,6,9,3,7,8]=>[8,7,3,9,6,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [4,3,1,9,2,5,6,7,8]=>[8,7,6,5,2,9,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [8,3,1,5,2,7,4,9,6]=>[6,9,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [9,4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [8,7,1,9,2,3,4,5,6]=>[6,5,4,3,2,9,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[6,3]=>6 [4,3,1,5,9,2,6,7,8]=>[8,7,6,2,9,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [2,3,9,1,4,5,6,7,8]=>[8,7,6,5,4,1,9,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [2,9,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,9,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,1,1]=>7 [9,3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [9,3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,1,1]=>7 [9,8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1]=>7 [9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[6,2,1]=>6 [9,8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8,9]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[6,1,1,1]=>6 [2,3,4,9,1,5,6,7,8]=>[8,7,6,5,1,9,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [2,3,9,8,1,4,5,6,7]=>[7,6,5,4,1,8,9,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0,0]=>[7,1,1]=>7 [6,3,4,5,1,7,9,2,8]=>[8,2,9,7,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [2,3,4,5,9,1,6,7,8]=>[8,7,6,1,9,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [9,7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [7,3,4,5,6,1,9,2,8]=>[8,2,9,1,6,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [2,3,4,5,6,9,1,7,8]=>[8,7,1,9,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [2,3,9,5,6,7,1,4,8]=>[8,4,1,7,6,5,9,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [2,9,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,9,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [9,3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [2,3,4,5,6,7,9,1,8]=>[8,1,9,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [9,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,9]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,6,1]=>2 [2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [3,5,2,6,1,4,8,7]=>[7,8,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,2,6,4,1,8,7]=>[7,8,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,2,7,4,8,6,1]=>[1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,5,7,2,3,8,6,1]=>[1,6,8,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,5,7,2,3,8,1,6]=>[6,1,8,3,2,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,6,2,3,1,8,7]=>[7,8,1,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,6,2,1,3,8,7]=>[7,8,3,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,1,6,4,2,8,7]=>[7,8,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,6,1,3,2,8,7]=>[7,8,2,3,1,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,6,3,1,2,8,7]=>[7,8,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,7,3,2,8,1,6]=>[6,1,8,2,3,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,7,3,2,8,6,1]=>[1,6,8,2,3,7,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,6,7,3,8,2,5,1]=>[1,5,2,8,3,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [4,6,7,3,8,2,1,5]=>[5,1,2,8,3,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,6,7,3,8,1,2,5]=>[5,2,1,8,3,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,5,7,3,1,8,2,6]=>[6,2,8,1,3,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,7,1,3,8,2,6]=>[6,2,8,3,1,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,1,7,4,8,2,6]=>[6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,5,7,4,8,3,6]=>[6,3,8,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,5,7,4,8,6,3]=>[3,6,8,4,7,5,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,5,1,7,4,8,6,2]=>[2,6,8,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,5,7,1,3,8,6,2]=>[2,6,8,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,5,7,3,1,8,6,2]=>[2,6,8,1,3,7,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,6,7,3,8,1,5,2]=>[2,5,1,8,3,7,6,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,6,7,3,8,5,2,1]=>[1,2,5,8,3,7,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [5,6,7,8,3,1,4,2]=>[2,4,1,3,8,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [5,6,7,8,1,3,4,2]=>[2,4,3,1,8,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [4,6,7,1,8,3,5,2]=>[2,5,3,8,1,7,6,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [3,6,1,7,8,4,5,2]=>[2,5,4,8,7,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [2,1,6,7,8,4,5,3]=>[3,5,4,8,7,6,1,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,1,6,7,8,4,3,5]=>[5,3,4,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,6,1,7,8,4,2,5]=>[5,2,4,8,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,6,7,1,8,3,2,5]=>[5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,6,7,8,1,3,2,4]=>[4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [4,5,7,2,1,8,3,6]=>[6,3,8,1,2,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,6,7,2,8,1,3,5]=>[5,3,1,8,2,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,6,7,2,8,3,1,5]=>[5,1,3,8,2,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,6,7,2,8,3,5,1]=>[1,5,3,8,2,7,6,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,6,2,7,8,4,5,1]=>[1,5,4,8,7,2,6,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,6,2,7,8,4,1,5]=>[5,1,4,8,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,6,2,7,8,1,4,5]=>[5,4,1,8,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,5,2,7,1,8,4,6]=>[6,4,8,1,7,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,2,1,7,8,5,6]=>[6,5,8,7,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,2,7,8,6,5]=>[5,6,8,7,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,6,2,7,8,1,5,4]=>[4,5,1,8,7,2,6,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,6,2,7,8,5,1,4]=>[4,1,5,8,7,2,6,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,6,2,7,8,5,4,1]=>[1,4,5,8,7,2,6,3]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [4,6,7,2,8,5,3,1]=>[1,3,5,8,2,7,6,4]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [4,6,7,2,8,5,1,3]=>[3,1,5,8,2,7,6,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [4,5,7,2,1,8,6,3]=>[3,6,8,1,2,7,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,5,7,1,2,8,6,3]=>[3,6,8,2,1,7,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,5,1,7,2,8,6,4]=>[4,6,8,2,7,1,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,1,5,7,3,8,6,4]=>[4,6,8,3,7,5,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,1,6,7,8,3,5,4]=>[4,5,3,8,7,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,6,1,7,8,2,5,4]=>[4,5,2,8,7,1,6,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,6,7,1,8,2,5,3]=>[3,5,2,8,1,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,6,7,8,1,2,4,3]=>[3,4,2,1,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [5,6,7,8,2,4,1,3]=>[3,1,4,2,8,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [5,6,7,8,2,4,3,1]=>[1,3,4,2,8,7,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [4,6,7,1,8,5,2,3]=>[3,2,5,8,1,7,6,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,6,1,7,8,5,2,4]=>[4,2,5,8,7,1,6,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,1,6,7,8,5,3,4]=>[4,3,5,8,7,6,1,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,6,1,7,8,5,4,2]=>[2,4,5,8,7,1,6,3]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [4,6,7,1,8,5,3,2]=>[2,3,5,8,1,7,6,4]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [5,6,7,8,1,4,3,2]=>[2,3,4,1,8,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [5,6,7,8,4,1,3,2]=>[2,3,1,4,8,7,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [3,4,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [3,5,2,6,4,1,8,7,10,9]=>[9,10,7,8,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [3,5,2,7,4,8,6,1,10,9]=>[9,10,1,6,8,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [3,5,2,7,4,9,6,10,8,1]=>[1,8,10,6,9,4,7,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,7,2]=>1 [2,1,5,6,4,3,8,7,10,9]=>[9,10,7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,5,6,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,5,7,3,2,8,6,1,10,9]=>[9,10,1,6,8,2,3,7,5,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,5,7,3,2,9,6,10,8,1]=>[1,8,10,6,9,2,3,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,7,2]=>1 [2,1,5,7,4,8,6,3,10,9]=>[9,10,3,6,8,4,7,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,6,7,3,8,5,2,1,10,9]=>[9,10,1,2,5,8,3,7,6,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,6,7,3,9,5,2,10,8,1]=>[1,8,10,2,5,9,3,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,7,2]=>1 [2,1,4,3,7,8,6,5,10,9]=>[9,10,5,6,8,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [3,4,2,1,7,8,6,5,10,9]=>[9,10,5,6,8,7,1,2,4,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [3,6,2,7,8,5,4,1,10,9]=>[9,10,1,4,5,8,7,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [3,6,2,7,9,5,4,10,8,1]=>[1,8,10,4,5,9,7,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,7,2]=>1 [2,1,6,7,8,5,4,3,10,9]=>[9,10,3,4,5,8,7,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [5,6,7,8,4,3,2,1,10,9]=>[9,10,1,2,3,4,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [5,6,7,9,4,3,2,10,8,1]=>[1,8,10,2,3,4,9,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,7,2]=>1 [3,5,2,8,4,9,10,7,6,1]=>[1,6,7,10,9,4,8,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,5,1,3]=>1 [4,5,8,3,2,9,10,7,6,1]=>[1,6,7,10,9,2,3,8,5,4]=>[1,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,5,1,3]=>1 [6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,5]=>1 [6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>2 [3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,3,1,5,6,4]=>[4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>3 [6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,1,8,3,4,7,6]=>[6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,1,6,2,4,8,7]=>[7,8,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,1,5,2,4,8,7]=>[7,8,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,3,1,5,2,8,4,6]=>[6,4,8,2,5,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,4,5,1,2,8,3,6]=>[6,3,8,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,4,5,1,2,3,8,7]=>[7,8,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,1,2,3,8,7]=>[7,8,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,6,5,3,4,8,7]=>[7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,6,1,5,2,4,8,7]=>[7,8,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,1,2,3,8,7]=>[7,8,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,4,1,2,3,8,7]=>[7,8,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,5,4,1,2,8,3,6]=>[6,3,8,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [7,6,4,1,8,2,3,5]=>[5,3,2,8,1,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,7,4,1,8,2,3,5]=>[5,3,2,8,1,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,7,4,1,2,8,3,6]=>[6,3,8,2,1,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,5,1,2,8,3,6]=>[6,3,8,2,1,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,7,1,5,2,8,4,6]=>[6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,7,5,3,8,4,6]=>[6,4,8,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,8,5,3,7,4,6]=>[6,4,7,3,5,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,1,5,2,7,4,6]=>[6,4,7,2,5,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,5,1,2,7,3,6]=>[6,3,7,2,1,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,4,1,2,7,3,6]=>[6,3,7,2,1,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,4,1,7,2,3,5]=>[5,3,2,7,1,4,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [5,8,6,7,1,2,3,4]=>[4,3,2,1,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [4,8,6,1,7,2,3,5]=>[5,3,2,7,1,6,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,1,6,7,2,4,5]=>[5,4,2,7,6,1,8,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [2,1,8,6,7,3,4,5]=>[5,4,3,7,6,8,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [2,1,7,6,8,3,4,5]=>[5,4,3,8,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,7,1,6,8,2,4,5]=>[5,4,2,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,7,6,1,8,2,3,5]=>[5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,7,6,8,1,2,3,4]=>[4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [5,4,7,1,2,8,3,6]=>[6,3,8,2,1,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,4,7,1,8,2,3,5]=>[5,3,2,8,1,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,4,6,1,8,2,3,5]=>[5,3,2,8,1,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [7,3,1,6,8,2,4,5]=>[5,4,2,8,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,3,1,7,8,2,4,5]=>[5,4,2,8,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,3,1,7,2,8,4,6]=>[6,4,8,2,7,1,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,3,1,2,7,8,5,6]=>[6,5,8,7,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,4,1,2,8,7,5,6]=>[6,5,7,8,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [7,3,1,8,6,2,4,5]=>[5,4,2,6,8,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [8,4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [7,4,8,1,6,2,3,5]=>[5,3,2,6,1,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [5,4,8,1,2,7,3,6]=>[6,3,7,2,1,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,8,1,2,7,3,6]=>[6,3,7,2,1,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,5,1,8,2,7,4,6]=>[6,4,7,2,8,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,1,5,8,3,7,4,6]=>[6,4,7,3,8,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,1,6,8,7,3,4,5]=>[5,4,3,7,8,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [3,6,1,8,7,2,4,5]=>[5,4,2,7,8,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [4,6,8,1,7,2,3,5]=>[5,3,2,7,1,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [7,5,8,6,1,2,3,4]=>[4,3,2,1,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [8,5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5,8]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,2,1,1]=>4 [5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [4,7,8,1,6,2,3,5]=>[5,3,2,6,1,8,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [3,7,1,8,6,2,4,5]=>[5,4,2,6,8,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,1,7,8,6,3,4,5]=>[5,4,3,6,8,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,8,1,7,6,2,4,5]=>[5,4,2,6,7,1,8,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,7,1,6,2,3,5]=>[5,3,2,6,1,7,8,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,8,7,6,1,2,3,4]=>[4,3,2,1,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,1,1]=>4 [6,8,7,5,1,2,3,4]=>[4,3,2,1,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [6,4,7,3,8,5,1,2]=>[2,1,5,8,3,7,4,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,4,7,3,5,8,1,2]=>[2,1,8,5,3,7,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,4,7,2,5,1,8,3]=>[3,8,1,5,2,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,2,7,6,1,3,8]=>[8,3,1,6,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,7,6,1,8,3]=>[3,8,1,6,7,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,3,7,6,8,1,2]=>[2,1,8,6,7,3,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,4,3,7,8,6,1,2]=>[2,1,6,8,7,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [6,4,8,3,5,7,1,2]=>[2,1,7,5,3,8,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,4,3,8,6,7,1,2]=>[2,1,7,6,8,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,4,3,6,8,7,1,2]=>[2,1,7,8,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,4,2,6,7,1,8,3]=>[3,8,1,7,6,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,2,6,7,1,3,8]=>[8,3,1,7,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,6,1,7,4,8]=>[8,4,7,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,6,1,7,8,4]=>[4,8,7,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,3,2,6,1,8,7,4]=>[4,7,8,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,4,2,6,8,1,7,3]=>[3,7,1,8,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,4,2,8,6,1,7,3]=>[3,7,1,6,8,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [7,8,4,2,5,1,6,3]=>[3,6,1,5,2,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [5,4,2,8,6,1,3,7]=>[7,3,1,6,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,2,6,1,8,4,7]=>[7,4,8,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,1,6,8,5,7]=>[7,5,8,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,2,8,1,6,4,7]=>[7,4,6,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,8,2,1,5,4,7]=>[7,4,5,1,2,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,8,3,2,1,5,4,6]=>[6,4,5,1,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,3,2,1,5,6,4]=>[4,6,5,1,2,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,3,8,2,1,5,7,4]=>[4,7,5,1,2,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,4,2,7,8,1,6,3]=>[3,6,1,8,7,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,3,2,7,1,8,6,4]=>[4,6,8,1,7,2,3,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [5,3,2,7,1,6,8,4]=>[4,8,6,1,7,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,7,2,1,5,4,8]=>[8,4,5,1,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,7,2,1,5,8,4]=>[4,8,5,1,2,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,7,2,1,8,5,4]=>[4,5,8,1,2,7,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,4,7,2,8,1,5,3]=>[3,5,1,8,2,7,4,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [6,5,7,8,2,1,4,3]=>[3,4,1,2,8,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [6,5,8,7,2,1,3,4]=>[4,3,1,2,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [6,3,7,2,1,8,4,5]=>[5,4,8,1,2,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,7,2,1,4,8,5]=>[5,8,4,1,2,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,3,7,2,1,4,5,8]=>[8,5,4,1,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,7,1,4,8,6]=>[6,8,4,1,7,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,2,8,7,1,3,6]=>[6,3,1,7,8,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [7,8,4,2,6,1,3,5]=>[5,3,1,6,2,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,3,2,1,6,4,5]=>[5,4,6,1,2,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,3,8,2,1,7,4,5]=>[5,4,7,1,2,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,3,2,8,1,7,4,6]=>[6,4,7,1,8,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,3,2,1,7,5,8,6]=>[6,8,5,7,1,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,1,8,5,7,6]=>[6,7,5,8,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,3,2,8,1,4,7,6]=>[6,7,4,1,8,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,3,8,2,1,4,7,5]=>[5,7,4,1,2,8,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,8,3,2,1,4,6,5]=>[5,6,4,1,2,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,3,8,2,1,4,5,7]=>[7,5,4,1,2,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>3 [7,8,4,1,6,2,5,3]=>[3,5,2,6,1,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [7,8,1,4,6,2,5,3]=>[3,5,2,6,4,1,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [6,1,8,4,7,2,5,3]=>[3,5,2,7,4,8,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [1,6,8,3,2,7,5,4]=>[4,5,7,2,3,8,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [6,1,8,3,2,7,5,4]=>[4,5,7,2,3,8,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [7,8,1,3,2,6,5,4]=>[4,5,6,2,3,1,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,3,1,2,6,5,4]=>[4,5,6,2,1,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [7,8,2,4,6,1,5,3]=>[3,5,1,6,4,2,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [7,8,2,3,1,6,5,4]=>[4,5,6,1,3,2,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,2,1,3,6,5,4]=>[4,5,6,3,1,2,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,1,2,3,6,5,4]=>[4,5,6,3,2,1,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [6,1,8,2,3,7,5,4]=>[4,5,7,3,2,8,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [5,1,2,8,3,7,6,4]=>[4,6,7,3,8,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [5,2,1,8,3,7,6,4]=>[4,6,7,3,8,1,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [6,2,8,1,3,7,5,4]=>[4,5,7,3,1,8,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [6,2,8,3,1,7,5,4]=>[4,5,7,1,3,8,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [6,3,8,4,7,5,1,2]=>[2,1,5,7,4,8,3,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [3,6,8,4,7,5,1,2]=>[2,1,5,7,4,8,6,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [2,6,8,4,7,1,5,3]=>[3,5,1,7,4,8,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [2,6,8,3,1,7,5,4]=>[4,5,7,1,3,8,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [2,6,8,1,3,7,5,4]=>[4,5,7,3,1,8,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [2,5,1,8,3,7,6,4]=>[4,6,7,3,8,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,4,1,3,8,7,6,5]=>[5,6,7,8,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [2,5,3,8,1,7,6,4]=>[4,6,7,1,8,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,5,4,8,7,1,6,3]=>[3,6,1,7,8,4,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [3,5,4,8,7,6,1,2]=>[2,1,6,7,8,4,5,3]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [5,3,4,8,7,6,1,2]=>[2,1,6,7,8,4,3,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [5,2,4,8,7,1,6,3]=>[3,6,1,7,8,4,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [4,1,3,2,8,7,6,5]=>[5,6,7,8,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [6,3,8,1,2,7,5,4]=>[4,5,7,2,1,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [5,3,1,8,2,7,6,4]=>[4,6,7,2,8,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [5,1,3,8,2,7,6,4]=>[4,6,7,2,8,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,5,4,8,7,2,6,3]=>[3,6,2,7,8,4,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [5,1,4,8,7,2,6,3]=>[3,6,2,7,8,4,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [5,4,1,8,7,2,6,3]=>[3,6,2,7,8,1,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [6,4,8,1,7,2,5,3]=>[3,5,2,7,1,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [6,5,8,7,1,2,4,3]=>[3,4,2,1,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [5,6,8,7,3,4,1,2]=>[2,1,4,3,7,8,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>2 [5,6,8,7,2,1,4,3]=>[3,4,1,2,7,8,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [4,5,1,8,7,2,6,3]=>[3,6,2,7,8,1,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,1,5,8,7,2,6,3]=>[3,6,2,7,8,5,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,4,5,8,7,2,6,3]=>[3,6,2,7,8,5,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,3,5,8,2,7,6,4]=>[4,6,7,2,8,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,1,5,8,2,7,6,4]=>[4,6,7,2,8,5,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,6,8,1,2,7,5,4]=>[4,5,7,2,1,8,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [3,6,8,2,1,7,5,4]=>[4,5,7,1,2,8,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [4,6,8,2,7,1,5,3]=>[3,5,1,7,2,8,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [4,6,8,3,7,5,1,2]=>[2,1,5,7,3,8,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [4,5,3,8,7,6,1,2]=>[2,1,6,7,8,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [4,5,2,8,7,1,6,3]=>[3,6,1,7,8,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [3,5,2,8,1,7,6,4]=>[4,6,7,1,8,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,1,4,2,8,7,6,5]=>[5,6,7,8,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>5 [3,2,5,8,1,7,6,4]=>[4,6,7,1,8,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [4,2,5,8,7,1,6,3]=>[3,6,1,7,8,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,3,5,8,7,6,1,2]=>[2,1,6,7,8,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [3,4,5,8,7,6,1,2]=>[2,1,6,7,8,5,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [2,4,5,8,7,1,6,3]=>[3,6,1,7,8,5,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [2,3,5,8,1,7,6,4]=>[4,6,7,1,8,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [4,1,3,2,6,5,8,7]=>[7,8,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,3,2,6,4,8,7]=>[7,8,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,1,3,2,5,4,8,6]=>[6,8,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,1,4,2,5,3,8,6]=>[6,8,3,5,2,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,1,4,2,5,3,8,7]=>[7,8,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,2,6,3,8,7]=>[7,8,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,6,3,5,4,8,7]=>[7,8,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,6,2,5,4,8,7]=>[7,8,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,6,2,5,3,8,7]=>[7,8,3,5,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,5,1,4,3,8,7]=>[7,8,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,6,1,4,3,8,7]=>[7,8,3,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,7,1,4,3,8,6]=>[6,8,3,4,1,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,2,8,1,4,3,7,6]=>[6,7,3,4,1,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,2,8,1,4,3,7,5]=>[5,7,3,4,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,2,7,1,4,3,8,5]=>[5,8,3,4,1,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,6,1,4,3,8,5]=>[5,8,3,4,1,6,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,5,1,4,3,8,6]=>[6,8,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,7,2,5,3,8,6]=>[6,8,3,5,2,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,7,2,5,4,8,6]=>[6,8,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,7,3,5,4,8,6]=>[6,8,4,5,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,8,3,5,4,7,6]=>[6,7,4,5,3,8,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,1,8,2,5,4,7,6]=>[6,7,4,5,2,8,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,1,8,2,5,3,7,6]=>[6,7,3,5,2,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,1,4,3,8,2,6,5]=>[5,6,2,8,3,4,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [7,1,5,3,8,2,6,4]=>[4,6,2,8,3,5,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,1,8,2,6,3,7,4]=>[4,7,3,6,2,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,1,8,2,6,3,7,5]=>[5,7,3,6,2,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,1,8,2,6,4,7,5]=>[5,7,4,6,2,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,1,8,3,6,4,7,5]=>[5,7,4,6,3,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,1,7,3,6,4,8,5]=>[5,8,4,6,3,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,7,2,6,3,8,5]=>[5,8,3,6,2,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,7,2,6,3,8,4]=>[4,8,3,6,2,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,2,6,1,5,3,8,4]=>[4,8,3,5,1,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,7,1,5,3,8,4]=>[4,8,3,5,1,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,8,1,5,3,7,4]=>[4,7,3,5,1,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,1,5,2,7,3,8,4]=>[4,8,3,7,2,5,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,4,2,7,3,8,5]=>[5,8,3,7,2,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,1,3,2,6,4,8,5]=>[5,8,4,6,2,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,3,2,7,4,8,5]=>[5,8,4,7,2,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,3,2,7,4,8,6]=>[6,8,4,7,2,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,3,2,7,5,8,6]=>[6,8,5,7,2,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,4,3,8,5,7,6]=>[6,7,5,8,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,1,4,2,8,5,7,6]=>[6,7,5,8,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,3,2,8,5,7,6]=>[6,7,5,8,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,1,3,2,8,4,7,6]=>[6,7,4,8,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,1,3,2,8,4,7,5]=>[5,7,4,8,2,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [7,4,8,1,3,2,6,5]=>[5,6,2,3,1,8,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,3,8,1,4,2,6,5]=>[5,6,2,4,1,8,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [8,3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [6,1,4,2,8,3,7,5]=>[5,7,3,8,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,1,4,2,8,3,7,6]=>[6,7,3,8,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,5,2,8,3,7,6]=>[6,7,3,8,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,1,5,2,8,4,7,6]=>[6,7,4,8,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,1,5,3,8,4,7,6]=>[6,7,4,8,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,1,6,3,8,4,7,5]=>[5,7,4,8,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,1,6,2,8,4,7,5]=>[5,7,4,8,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,1,6,2,8,3,7,5]=>[5,7,3,8,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,1,6,2,8,3,7,4]=>[4,7,3,8,2,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,1,5,2,8,3,7,4]=>[4,7,3,8,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [7,3,8,1,5,2,6,4]=>[4,6,2,5,1,8,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,2,7,3,8,1,5,4]=>[4,5,1,8,3,7,2,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,2,8,3,7,1,5,4]=>[4,5,1,7,3,8,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [8,3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [5,1,8,3,7,2,6,4]=>[4,6,2,7,3,8,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [4,1,8,3,7,2,6,5]=>[5,6,2,7,3,8,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,1,8,4,7,2,6,5]=>[5,6,2,7,4,8,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,1,8,4,7,3,6,5]=>[5,6,3,7,4,8,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,1,7,4,8,3,6,5]=>[5,6,3,8,4,7,1,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,1,7,4,8,2,6,5]=>[5,6,2,8,4,7,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [4,1,7,3,8,2,6,5]=>[5,6,2,8,3,7,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,1,7,3,8,2,6,4]=>[4,6,2,8,3,7,1,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,3,8,2,6,1,5,4]=>[4,5,1,6,2,8,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [7,2,6,3,8,1,5,4]=>[4,5,1,8,3,6,2,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,4,2,6,8,1,5,7]=>[7,5,1,8,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,6,2,8,1,4,7]=>[7,4,1,8,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,6,2,4,8,1,7]=>[7,1,8,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,7,3,8,2,4,1,6]=>[6,1,4,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,3,8,2,4,6,1]=>[1,6,4,2,8,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,4,2,5,8,3,6,1]=>[1,6,3,8,5,2,4,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [7,4,2,5,8,3,1,6]=>[6,1,3,8,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,5,2,6,3,8,1,7]=>[7,1,8,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,2,1,6,8,3,7]=>[7,3,8,6,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,1,6,8,2,4,7]=>[7,4,2,8,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,2,8,1,3,4,7]=>[7,4,3,1,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,6,1,4,8,2,7]=>[7,2,8,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,6,3,8,2,7]=>[7,2,8,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,1,6,3,8,2,7]=>[7,2,8,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,6,3,2,8,1,7]=>[7,1,8,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,4,5,3,8,2,1,6]=>[6,1,2,8,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,5,3,8,2,6,1]=>[1,6,2,8,3,5,4,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [6,7,4,8,3,2,5,1]=>[1,5,2,3,8,4,7,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [6,7,4,8,3,2,1,5]=>[5,1,2,3,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,7,4,1,8,3,2,5]=>[5,2,3,8,1,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,4,5,3,1,8,2,6]=>[6,2,8,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,1,5,8,3,2,6]=>[6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,7,8,1,4,2,6]=>[6,2,4,1,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,5,8,2,4,6,1,3]=>[3,1,6,4,2,8,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,5,1,7,8,3,6,2]=>[2,6,3,8,7,1,5,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,4,1,5,8,3,6,2]=>[2,6,3,8,5,1,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [6,7,4,3,8,1,5,2]=>[2,5,1,8,3,4,7,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,7,4,8,3,1,5,2]=>[2,5,1,3,8,4,7,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [6,7,4,8,3,5,2,1]=>[1,2,5,3,8,4,7,6]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [5,6,7,3,8,4,2,1]=>[1,2,4,8,3,7,6,5]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [5,6,7,3,1,8,4,2]=>[2,4,8,1,3,7,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,6,1,7,3,8,4,2]=>[2,4,8,3,7,1,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,1,6,7,3,8,4,2]=>[2,4,8,3,7,6,1,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,4,7,1,8,3,5,2]=>[2,5,3,8,1,7,4,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,7,8,3,1,4,5,2]=>[2,5,4,1,3,8,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [6,7,2,8,4,5,1,3]=>[3,1,5,4,8,2,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,7,2,8,4,1,3,5]=>[5,3,1,4,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,1,7,4,8,3,2,5]=>[5,2,3,8,4,7,1,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,1,6,7,3,2,8,4]=>[4,8,2,3,7,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,1,7,3,2,8,4]=>[4,8,2,3,7,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,7,3,2,1,8,4]=>[4,8,1,2,3,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,7,3,2,8,4,1]=>[1,4,8,2,3,7,6,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,6,2,7,3,8,4,1]=>[1,4,8,3,7,2,6,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,6,2,7,3,1,8,4]=>[4,8,1,3,7,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,2,1,7,3,8,4]=>[4,8,3,7,1,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,7,4,2,8,3,5]=>[5,3,8,2,4,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,7,2,1,8,3,4,5]=>[5,4,3,8,1,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,5,8,2,1,3,4,6]=>[6,4,3,1,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,7,3,1,8,2,4,6]=>[6,4,2,8,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,1,5,2,8,3,6]=>[6,3,8,2,5,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,4,2,5,1,8,3,6]=>[6,3,8,1,5,2,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,4,2,1,8,3,5]=>[5,3,8,1,2,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,7,4,2,8,3,1,5]=>[5,1,3,8,2,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,7,4,2,8,3,5,1]=>[1,5,3,8,2,4,7,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,6,7,2,8,4,5,1]=>[1,5,4,8,2,7,6,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,6,7,2,8,4,1,5]=>[5,1,4,8,2,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,6,7,2,1,8,4,5]=>[5,4,8,1,2,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,7,3,8,2,1,4,6]=>[6,4,1,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,4,7,8,2,1,5,6]=>[6,5,1,2,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,8,1,4,6,2,5]=>[5,2,6,4,1,8,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [3,4,7,8,2,6,1,5]=>[5,1,6,2,8,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,7,3,8,2,6,1,4]=>[4,1,6,2,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,6,7,2,8,5,1,4]=>[4,1,5,8,2,7,6,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,6,7,8,5,2,1,4]=>[4,1,2,5,8,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [3,6,7,8,5,2,4,1]=>[1,4,2,5,8,7,6,3]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [6,4,7,8,2,5,3,1]=>[1,3,5,2,8,7,4,6]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [6,4,7,8,2,1,5,3]=>[3,5,1,2,8,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [4,1,5,7,8,2,6,3]=>[3,6,2,8,7,5,1,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,3,7,8,1,6,2,4]=>[4,2,6,1,8,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,7,2,8,5,1,3,4]=>[4,3,1,5,8,2,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,4,1,7,8,2,5,3]=>[3,5,2,8,7,1,4,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,1,6,2,7,8,4,3]=>[3,4,8,7,2,6,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,6,2,1,7,8,4,3]=>[3,4,8,7,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,6,2,7,1,8,4,3]=>[3,4,8,1,7,2,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,6,2,7,8,4,3,1]=>[1,3,4,8,7,2,6,5]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [5,6,7,2,8,4,3,1]=>[1,3,4,8,2,7,6,5]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [5,6,7,2,1,8,4,3]=>[3,4,8,1,2,7,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,6,1,7,2,8,4,3]=>[3,4,8,2,7,1,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,1,6,7,2,8,4,3]=>[3,4,8,2,7,6,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,6,7,1,8,5,2,4]=>[4,2,5,8,1,7,6,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,7,8,5,2,4,1,3]=>[3,1,4,2,5,8,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [6,7,8,3,5,1,4,2]=>[2,4,1,5,3,8,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [4,6,7,8,1,5,3,2]=>[2,3,5,1,8,7,6,4]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [5,1,6,7,8,4,3,2]=>[2,3,4,8,7,6,1,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [5,6,1,7,8,4,3,2]=>[2,3,4,8,7,1,6,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [5,6,7,1,8,4,3,2]=>[2,3,4,8,1,7,6,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [8,6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,3,2,7,4,1,8,6]=>[6,8,1,4,7,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,5,3,8,2,4,6,1]=>[1,6,4,2,8,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,2,4,5,8,3,6,1]=>[1,6,3,8,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [2,4,5,3,7,1,8,6]=>[6,8,1,7,3,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,5,3,7,2,1,8,6]=>[6,8,1,2,7,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,5,8,3,2,6,1]=>[1,6,2,3,8,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,3,6,7,2,8,5,1]=>[1,5,8,2,7,6,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,3,6,7,2,8,1,5]=>[5,1,8,2,7,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,4,3,6,7,2,8,5]=>[5,8,2,7,6,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,5,3,7,1,8,2,6]=>[6,2,8,1,7,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,5,3,7,2,8,6]=>[6,8,2,7,3,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,3,4,7,1,2,8,6]=>[6,8,2,1,7,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,5,8,2,1,4,6,3]=>[3,6,4,1,2,8,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,5,3,8,4,1,6,2]=>[2,6,1,4,8,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [7,4,5,8,3,6,1,2]=>[2,1,6,3,8,5,4,7]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,3,6,7,8,1,5,2]=>[2,5,1,8,7,6,3,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [1,6,4,7,8,3,5,2]=>[2,5,3,8,7,4,6,1]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,4,7,8,3,5,2,1]=>[1,2,5,3,8,7,4,6]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [3,5,6,7,8,4,1,2]=>[2,1,4,8,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,1,5,6,7,8,4,2]=>[2,4,8,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [4,6,1,7,8,3,5,2]=>[2,5,3,8,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [3,6,7,1,4,8,5,2]=>[2,5,8,4,1,7,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [6,2,4,1,7,8,5,3]=>[3,5,8,7,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,6,7,1,4,8,3,5]=>[5,3,8,4,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,6,7,8,1,2,5]=>[5,2,1,8,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,5,3,6,7,8,2,4]=>[4,2,8,7,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,5,6,7,8,2,1,4]=>[4,1,2,8,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,5,6,7,8,2,4,1]=>[1,4,2,8,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [5,2,7,1,3,8,4,6]=>[6,4,8,3,1,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,3,1,7,8,2,4,6]=>[6,4,2,8,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,5,2,7,8,1,3,6]=>[6,3,1,8,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,2,6,7,8,3,1,5]=>[5,1,3,8,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,2,6,7,8,3,5,1]=>[1,5,3,8,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,6,2,7,4,8,5,1]=>[1,5,8,4,7,2,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,6,2,7,4,8,1,5]=>[5,1,8,4,7,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,2,1,6,4,7,8,5]=>[5,8,7,4,6,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,4,2,1,5,8,6]=>[6,8,5,1,2,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,7,3,4,2,5,8,6]=>[6,8,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,7,2,1,3,5,8,6]=>[6,8,5,3,1,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,8,4,2,1,3,6,5]=>[5,6,3,1,2,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,1,3,4,2,6,5]=>[5,6,2,4,3,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,3,4,2,1,6,5]=>[5,6,1,2,4,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,3,2,7,1,8,5,4]=>[4,5,8,1,7,2,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,6,2,7,1,8,5,4]=>[4,5,8,1,7,2,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,7,3,8,2,5,4,1]=>[1,4,5,2,8,3,7,6]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [6,4,7,8,5,2,3,1]=>[1,3,2,5,8,7,4,6]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [2,6,4,7,8,1,5,3]=>[3,5,1,8,7,4,6,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [4,6,2,7,8,1,5,3]=>[3,5,1,8,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,4,5,8,6,2,1,3]=>[3,1,2,6,8,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,4,1,5,8,6,2,3]=>[3,2,6,8,5,1,4,7]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,5,3,8,6,1,2,4]=>[4,2,1,6,8,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,5,8,2,1,6,3,4]=>[4,3,6,1,2,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,2,7,1,3,8,5,4]=>[4,5,8,3,1,7,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,3,1,7,8,2,5,4]=>[4,5,2,8,7,1,3,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,6,1,7,8,5,2,3]=>[3,2,5,8,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,1,2,6,7,8,4,3]=>[3,4,8,7,6,2,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,2,6,7,8,4,1,3]=>[3,1,4,8,7,6,2,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [5,2,6,7,8,4,3,1]=>[1,3,4,8,7,6,2,5]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [2,5,6,7,8,4,1,3]=>[3,1,4,8,7,6,5,2]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [1,5,2,6,7,8,4,3]=>[3,4,8,7,6,2,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,6,4,7,8,5,2,3]=>[3,2,5,8,7,4,6,1]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,6,7,1,3,8,5,4]=>[4,5,8,3,1,7,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,7,8,2,1,5,4,3]=>[3,4,5,1,2,8,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [6,7,3,8,5,1,4,2]=>[2,4,1,5,8,3,7,6]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [6,4,7,8,5,3,1,2]=>[2,1,3,5,8,7,4,6]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [4,5,2,3,7,6,1,8]=>[8,1,6,7,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,7,2,5,1,8]=>[8,1,5,2,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,5,6,3,4,8,7,2]=>[2,7,8,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,2,4,3,1,8]=>[8,1,3,4,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,5,4,8,3,6,2]=>[2,6,3,8,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [8,7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [6,8,5,4,2,1,3,7]=>[7,3,1,2,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,6,2,4,1,3,7]=>[7,3,1,4,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,2,6,5,1,3,7]=>[7,3,1,5,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,2,8,6,5,1,4,7]=>[7,4,1,5,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,1,2,6,5,8,7,3]=>[3,7,8,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,1,6,2,4,8,7,3]=>[3,7,8,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [6,1,5,4,2,8,7,3]=>[3,7,8,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [7,1,5,4,8,2,6,3]=>[3,6,2,8,4,5,1,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [1,8,6,7,4,5,3,2]=>[2,3,5,4,7,6,8,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>2 [8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [7,1,6,8,4,2,5,3]=>[3,5,2,4,8,6,1,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,1,7,8,2,4,5,3]=>[3,5,4,2,8,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [5,1,7,2,8,4,6,3]=>[3,6,4,8,2,7,1,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,1,2,7,8,5,6,3]=>[3,6,5,8,7,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,2,1,7,8,5,6,4]=>[4,6,5,8,7,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,2,8,7,1,5,4,6]=>[6,4,5,1,7,8,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,8,2,7,1,5,3,6]=>[6,3,5,1,7,2,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [5,8,7,2,1,4,3,6]=>[6,3,4,1,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [6,8,7,1,2,4,3,5]=>[5,3,4,2,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [7,8,6,1,4,2,3,5]=>[5,3,2,4,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [1,7,6,8,4,3,5,2]=>[2,5,3,4,8,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [8,6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [7,6,8,1,3,2,4,5]=>[5,4,2,3,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [5,7,8,2,1,3,4,6]=>[6,4,3,1,2,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,7,2,8,1,3,5,6]=>[6,5,3,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,2,6,8,4,1,5,7]=>[7,5,1,4,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,8,2,3,1,4,7]=>[7,4,1,3,2,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,5,8,3,2,1,4,7]=>[7,4,1,2,3,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,5,8,3,1,2,4,6]=>[6,4,2,1,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [1,5,7,3,8,4,6,2]=>[2,6,4,8,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,4,3,7,8,5,6,2]=>[2,6,5,8,7,3,4,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [8,4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [6,4,3,8,2,1,5,7]=>[7,5,1,2,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,2,3,8,1,6,7]=>[7,6,1,8,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,5,4,8,1,6,7]=>[7,6,1,8,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,2,3,1,8,7,6]=>[6,7,8,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,4,3,1,8,2,6,5]=>[5,6,2,8,1,3,4,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [1,5,8,3,7,6,4,2]=>[2,4,6,7,3,8,5,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,2,2,1,1]=>2 [8,5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,5,1,3,2,8,7,4]=>[4,7,8,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,6,1,2,3,8,7,4]=>[4,7,8,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [4,6,2,1,3,8,7,5]=>[5,7,8,3,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,2,6,1,4,8,7,5]=>[5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,2,7,1,8,4,6,5]=>[5,6,4,8,1,7,2,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [4,7,2,1,8,3,6,5]=>[5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,7,1,2,8,3,6,4]=>[4,6,3,8,2,1,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,7,1,8,2,3,5,4]=>[4,5,3,2,8,1,7,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [8,6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6,8]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [1,6,8,7,3,5,4,2]=>[2,4,5,3,7,8,6,1]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>2 [1,7,8,6,5,3,4,2]=>[2,4,3,5,6,8,7,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [8,7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7,8]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,8,1,6,5,2,3,4]=>[4,3,2,5,6,1,8,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [5,8,1,2,7,6,3,4]=>[4,3,6,7,2,1,8,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,8,2,1,7,6,3,5]=>[5,3,6,7,1,2,8,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,2,8,1,7,6,4,5]=>[5,4,6,7,1,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>3 [5,1,8,2,7,6,4,3]=>[3,4,6,7,2,8,1,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,1,2,1,1]=>3 [6,1,8,7,2,5,4,3]=>[3,4,5,2,7,8,1,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>3 [7,1,8,6,5,2,4,3]=>[3,4,2,5,6,8,1,7]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>3 [3,1,2,6,5,8,7,4]=>[4,7,8,5,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,1,6,2,4,8,7,5]=>[5,7,8,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,1,5,2,4,8,7,6]=>[6,7,8,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,5,1,2,3,8,7,6]=>[6,7,8,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,6,1,2,3,8,7,5]=>[5,7,8,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,6,5,3,4,8,7,2]=>[2,7,8,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,1,5,2,4,8,7,3]=>[3,7,8,4,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [6,5,1,2,3,8,7,4]=>[4,7,8,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [6,4,1,2,3,8,7,5]=>[5,7,8,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,4,1,2,7,3,6,8]=>[8,6,3,7,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,7,2,3,5,8]=>[8,5,3,2,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,8,2,3,5,7]=>[7,5,3,2,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,4,1,2,8,3,6,5]=>[5,6,3,8,2,1,4,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,5,1,2,8,3,6,4]=>[4,6,3,8,2,1,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,1,5,2,8,4,6,3]=>[3,6,4,8,2,5,1,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,7,5,3,8,4,6,2]=>[2,6,4,8,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,8,5,3,7,4,6,2]=>[2,6,4,7,3,5,8,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [8,1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,4,1,6,2,3,5,8]=>[8,5,3,2,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [8,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [1,8,6,7,3,4,5,2]=>[2,5,4,3,7,6,8,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [1,7,6,8,3,4,5,2]=>[2,5,4,3,8,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [7,1,6,8,2,4,5,3]=>[3,5,4,2,8,6,1,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [7,6,1,8,2,3,5,4]=>[4,5,3,2,8,1,6,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [4,7,1,2,8,3,6,5]=>[5,6,3,8,2,1,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,1,7,2,8,4,6,5]=>[5,6,4,8,2,7,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,1,2,7,8,5,6,4]=>[4,6,5,8,7,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,4,3,8,7,5,6,2]=>[2,6,5,7,8,3,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [4,1,2,8,7,5,6,3]=>[3,6,5,7,8,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [3,1,2,8,7,5,6,4]=>[4,6,5,7,8,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,1,8,2,7,4,6,5]=>[5,6,4,7,2,8,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,1,8,7,2,4,5,6]=>[6,5,4,2,7,8,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,6,2,3,5,8]=>[8,5,3,2,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,1,6,2,3,5,7]=>[7,5,3,2,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,1,7,2,3,5,6]=>[6,5,3,2,7,1,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,8,1,2,7,3,6,5]=>[5,6,3,7,2,1,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [5,8,1,2,7,3,6,4]=>[4,6,3,7,2,1,8,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [5,1,8,2,7,4,6,3]=>[3,6,4,7,2,8,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [1,5,8,3,7,4,6,2]=>[2,6,4,7,3,8,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,6,8,7,3,4,5,2]=>[2,5,4,3,7,8,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [6,1,8,7,2,4,5,3]=>[3,5,4,2,7,8,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [6,8,1,7,2,3,5,4]=>[4,5,3,2,7,1,8,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [6,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [5,8,7,1,2,3,4,6]=>[6,4,3,2,1,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,8,6,1,2,3,4,7]=>[7,4,3,2,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,7,6,1,2,3,4,8]=>[8,4,3,2,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,1,6,2,3,5,4]=>[4,5,3,2,6,1,8,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,1,8,6,2,4,5,3]=>[3,5,4,2,6,8,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [1,7,8,6,3,4,5,2]=>[2,5,4,3,6,8,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [1,8,7,6,3,4,5,2]=>[2,5,4,3,6,7,8,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [8,1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1,8]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7,8]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [3,2,5,1,6,4,8,7]=>[7,8,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,5,4,7,1,8,6]=>[6,8,1,7,4,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,5,3,7,6,8,1]=>[1,8,6,7,3,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,5,3,7,1,8,6]=>[6,8,1,7,3,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,5,3,6,1,8,7]=>[7,8,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,5,1,6,3,8,7]=>[7,8,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,5,4,6,2,8,7]=>[7,8,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,3,6,2,8,7]=>[7,8,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,1,6,2,8,7]=>[7,8,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,6,2,7,5,8,1]=>[1,8,5,7,2,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,6,2,7,1,8,5]=>[5,8,1,7,2,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,6,1,7,2,8,5]=>[5,8,2,7,1,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,5,1,7,2,8,6]=>[6,8,2,7,1,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,5,4,7,2,8,6]=>[6,8,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,5,4,7,3,8,6]=>[6,8,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,5,4,7,6,8,2]=>[2,8,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,1,5,3,7,6,8,2]=>[2,8,6,7,3,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,5,1,7,6,8,2]=>[2,8,6,7,1,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,6,1,7,5,8,2]=>[2,8,5,7,1,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,6,4,7,2,8,1]=>[1,8,2,7,4,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,6,4,7,1,8,2]=>[2,8,1,7,4,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,6,1,7,4,8,2]=>[2,8,4,7,1,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,6,3,7,4,8,2]=>[2,8,4,7,3,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,1,6,3,7,5,8,2]=>[2,8,5,7,3,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,1,6,4,7,5,8,2]=>[2,8,5,7,4,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,1,6,4,7,5,8,3]=>[3,8,5,7,4,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,6,4,7,3,8,5]=>[5,8,3,7,4,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,6,4,7,2,8,5]=>[5,8,2,7,4,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,6,3,7,2,8,5]=>[5,8,2,7,3,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,6,3,7,2,8,4]=>[4,8,2,7,3,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,3,6,1,7,2,8,4]=>[4,8,2,7,1,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,3,6,2,7,1,8,4]=>[4,8,1,7,2,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,3,6,2,7,4,8,1]=>[1,8,4,7,2,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,6,3,7,4,8,1]=>[1,8,4,7,3,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,6,3,7,1,8,4]=>[4,8,1,7,3,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,6,1,7,3,8,4]=>[4,8,3,7,1,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,5,1,7,3,8,6]=>[6,8,3,7,1,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,6,1,7,3,8,5]=>[5,8,3,7,1,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,6,3,7,1,8,5]=>[5,8,1,7,3,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,6,3,7,5,8,1]=>[1,8,5,7,3,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,6,4,7,5,8,1]=>[1,8,5,7,4,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,6,4,7,1,8,5]=>[5,8,1,7,4,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,6,1,7,4,8,5]=>[5,8,4,7,1,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,5,1,7,4,8,6]=>[6,8,4,7,1,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,4,1,7,5,8,6]=>[6,8,5,7,1,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,2,7,6,8,5]=>[5,8,6,7,2,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,5,1,7,6,8,4]=>[4,8,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,6,5,7,1,8,4]=>[4,8,1,7,5,6,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,6,5,7,3,8,1]=>[1,8,3,7,5,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,6,5,7,1,8,3]=>[3,8,1,7,5,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,6,1,7,5,8,3]=>[3,8,5,7,1,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,5,2,7,6,8,3]=>[3,8,6,7,2,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,5,2,7,6,8,4]=>[4,8,6,7,2,5,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,5,3,7,6,8,4]=>[4,8,6,7,3,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,6,3,7,5,8,4]=>[4,8,5,7,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,6,2,7,5,8,4]=>[4,8,5,7,2,6,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,6,2,7,5,8,3]=>[3,8,5,7,2,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,6,2,7,4,8,3]=>[3,8,4,7,2,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,2,6,1,7,4,8,3]=>[3,8,4,7,1,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,2,6,4,7,1,8,3]=>[3,8,1,7,4,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,2,6,4,7,3,8,1]=>[1,8,3,7,4,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,6,2,7,3,8,1]=>[1,8,3,7,2,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,6,2,7,1,8,3]=>[3,8,1,7,2,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,6,1,7,2,8,3]=>[3,8,2,7,1,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,6,4,7,2,8,3]=>[3,8,2,7,4,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,6,5,7,2,8,3]=>[3,8,2,7,5,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,6,5,7,2,8,4]=>[4,8,2,7,5,6,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,6,5,7,3,8,4]=>[4,8,3,7,5,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,6,5,7,4,8,2]=>[2,8,4,7,5,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,1,6,5,7,3,8,2]=>[2,8,3,7,5,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,6,4,7,3,8,2]=>[2,8,3,7,4,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,6,1,7,3,8,2]=>[2,8,3,7,1,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,6,3,7,1,8,2]=>[2,8,1,7,3,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,7,5,2,4,1,8,6]=>[6,8,1,4,2,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [8,2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [2,4,5,7,3,1,8,6]=>[6,8,1,3,7,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,7,4,3,2,1,8,6]=>[6,8,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [4,6,8,3,2,7,5,1]=>[1,5,7,2,3,8,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [4,7,6,3,2,8,1,5]=>[5,1,8,2,3,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,4,6,7,3,2,8,5]=>[5,8,2,3,7,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,7,3,1,8,2,6]=>[6,2,8,1,3,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,7,4,5,3,2,8,6]=>[6,8,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,5,1,4,2,8,6]=>[6,8,2,4,1,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,7,4,2,1,3,8,6]=>[6,8,3,1,2,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3,8]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>2 [8,4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [4,6,3,8,7,1,5,2]=>[2,5,1,7,8,3,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [1,7,4,8,6,3,5,2]=>[2,5,3,6,8,4,7,1]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [8,4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4,8]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,3,1,1,1]=>1 [3,6,5,8,7,4,1,2]=>[2,1,4,7,8,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [3,1,5,8,6,7,4,2]=>[2,4,7,6,8,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,8,1,6,7,3,5,2]=>[2,5,3,7,6,1,8,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [3,6,4,1,8,7,5,2]=>[2,5,7,8,1,4,6,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [8,2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [2,7,6,8,1,4,3,5]=>[5,3,4,1,8,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [3,7,1,6,4,8,2,5]=>[5,2,8,4,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,3,5,6,8,2,4]=>[4,2,8,6,5,3,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,3,6,7,5,8,2,4]=>[4,2,8,5,7,6,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,7,6,5,8,2,1,4]=>[4,1,2,8,5,6,7,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,6,8,5,7,2,4,1]=>[1,4,2,7,5,8,6,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [2,3,5,7,6,8,1,4]=>[4,1,8,6,7,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,6,5,7,8,3,4]=>[4,3,8,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,2,7,6,8,3,1,5]=>[5,1,3,8,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,2,6,8,7,3,5,1]=>[1,5,3,7,8,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [3,8,2,4,6,7,5,1]=>[1,5,7,6,4,2,8,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [3,7,2,6,4,8,1,5]=>[5,1,8,4,6,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,2,6,1,4,7,8,5]=>[5,8,7,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,7,2,1,8,4,6]=>[6,4,8,1,2,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,3,2,1,5,8,6]=>[6,8,5,1,2,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [8,5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [3,7,8,6,2,1,5,4]=>[4,5,1,2,6,8,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [2,7,4,8,1,6,5,3]=>[3,5,6,1,8,4,7,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [4,6,8,2,1,7,5,3]=>[3,5,7,1,2,8,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [8,4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [8,3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [4,6,1,8,7,2,5,3]=>[3,5,2,7,8,1,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [8,1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [8,2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2,8]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>3 [2,1,7,8,5,6,4,3]=>[3,4,6,5,8,7,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [8,2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2,8]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,1,2,1,1]=>1 [2,7,6,8,5,4,1,3]=>[3,1,4,5,8,6,7,2]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [1,7,2,5,8,6,4,3]=>[3,4,6,8,5,2,7,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [1,7,4,8,2,6,5,3]=>[3,5,6,2,8,4,7,1]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [3,7,8,1,6,5,2,4]=>[4,2,5,6,1,8,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [2,7,8,6,1,3,5,4]=>[4,5,3,1,6,8,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [8,4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4,8]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>2 [8,7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7,8]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>2 [8,1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1,8]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,1,2,1]=>2 [6,5,3,1,2,4,8,7]=>[7,8,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,3,5,1,2,8,7]=>[7,8,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [6,8,1,4,5,7,3,2]=>[2,3,7,5,4,1,8,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [8,7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [3,6,2,4,5,1,8,7]=>[7,8,1,5,4,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,1,4,5,3,8,7]=>[7,8,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,2,4,5,3,8,7]=>[7,8,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,3,2,1,4,8,7]=>[7,8,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,3,6,1,2,8,7]=>[7,8,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,1,4,5,2,8,7]=>[7,8,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,6,4,5,2,8,7]=>[7,8,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [5,8,7,4,2,6,3,1]=>[1,3,6,2,4,7,8,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>1 [2,8,7,4,1,6,3,5]=>[5,3,6,1,4,7,8,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,1,8,7,5,3,4,6]=>[6,4,3,5,7,8,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,1,6,8,5,7,3,4]=>[4,3,7,5,8,6,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,6,3,8,1,7,2,4]=>[4,2,7,1,8,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [3,7,6,4,5,8,2,1]=>[1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [8,5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5,8]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>2 [5,1,8,4,7,6,2,3]=>[3,2,6,7,4,8,1,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,5,8,4,7,6,1,3]=>[3,1,6,7,4,8,5,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,4,8,3,5,6,7,1]=>[1,7,6,5,3,8,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,1,8,3,5,6,7,2]=>[2,7,6,5,3,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,8,4,2,5,6,7,1]=>[1,7,6,5,2,4,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [8,4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,5,8,4,3,6,1,2]=>[2,1,6,3,4,8,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [6,5,3,8,4,1,7,2]=>[2,7,1,4,8,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,1,5,8,4,6,7,3]=>[3,7,6,4,8,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,1,4,8,3,6,7,5]=>[5,7,6,3,8,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,3,8,2,1,7,5]=>[5,7,1,2,8,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,3,8,4,2,6,1,5]=>[5,1,6,2,4,8,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [8,3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [3,1,8,2,5,6,7,4]=>[4,7,6,5,2,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,3,8,1,5,6,7,4]=>[4,7,6,5,1,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,3,8,2,5,6,7,1]=>[1,7,6,5,2,8,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,8,2,3,5,6,7,1]=>[1,7,6,5,3,2,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [3,8,2,1,5,6,7,4]=>[4,7,6,5,1,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,8,1,3,5,6,7,4]=>[4,7,6,5,3,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,8,2,4,3,6,1,5]=>[5,1,6,3,4,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,8,3,2,4,1,7,5]=>[5,7,1,4,2,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,1,8,3,4,6,7,5]=>[5,7,6,4,3,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,1,7,8,5,4,3,6]=>[6,3,4,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,3,8,1,4,2,6]=>[6,2,4,1,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,1,8,4,5,3,2,6]=>[6,2,3,5,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,7,8,4,5,3,1,6]=>[6,1,3,5,4,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [3,8,7,4,2,6,1,5]=>[5,1,6,2,4,7,8,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,7,8,4,3,6,2,1]=>[1,2,6,3,4,8,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [5,6,3,8,4,2,7,1]=>[1,7,2,4,8,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,8,3,6,2,1,7,5]=>[5,7,1,2,6,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,5,3,8,2,4,1,6]=>[6,1,4,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,4,3,1,8,5,7,6]=>[6,7,5,8,1,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,3,2,6,8,7,5]=>[5,7,8,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,5,3,6,2,8,1,4]=>[4,1,8,2,6,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,8,3,2,6,1,7,4]=>[4,7,1,6,2,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,5,3,8,6,2,7,1]=>[1,7,2,6,8,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [3,5,8,4,7,6,2,1]=>[1,2,6,7,4,8,5,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,4,1,1]=>1 [5,8,2,4,7,6,1,3]=>[3,1,6,7,4,2,8,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [8,7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7,8]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [2,7,6,4,5,8,1,3]=>[3,1,8,5,4,6,7,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,1,6,4,5,8,2,3]=>[3,2,8,5,4,6,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,7,3,6,1,8,2,4]=>[4,2,8,1,6,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,7,6,5,8,3,4]=>[4,3,8,5,6,7,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,8,5,3,6,7,4]=>[4,7,6,3,5,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,8,3,5,2,1,7,4]=>[4,7,1,2,5,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,8,5,4,2,6,1,3]=>[3,1,6,2,4,5,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [8,1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,8,4,1,5,6,7,3]=>[3,7,6,5,1,4,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,8,1,2,5,6,7,3]=>[3,7,6,5,2,1,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,4,8,1,5,6,7,2]=>[2,7,6,5,1,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,4,2,8,5,6,7,1]=>[1,7,6,5,8,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,4,1,8,5,6,7,3]=>[3,7,6,5,8,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,1,2,8,5,6,7,3]=>[3,7,6,5,8,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,5,2,4,8,6,1,3]=>[3,1,6,8,4,2,5,7]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [6,5,3,2,8,1,7,4]=>[4,7,1,8,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,1,5,3,8,6,7,4]=>[4,7,6,8,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,4,3,5,8,1,7,2]=>[2,7,1,8,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [7,3,5,4,8,6,1,2]=>[2,1,6,8,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [8,3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [4,3,1,8,5,6,7,2]=>[2,7,6,5,8,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,1,4,8,5,6,7,2]=>[2,7,6,5,8,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,5,3,7,2,8,4,1]=>[1,4,8,2,7,3,5,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [6,3,7,4,5,8,2,1]=>[1,2,8,5,4,7,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,7,2,4,5,8,3,1]=>[1,3,8,5,4,2,7,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,1,7,4,8,6,3,2]=>[2,3,6,8,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [2,5,7,4,8,6,3,1]=>[1,3,6,8,4,7,5,2]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [5,6,3,7,1,8,4,2]=>[2,4,8,1,7,3,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,7,5,4,8,6,2,1]=>[1,2,6,8,4,5,7,3]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [5,7,1,4,8,6,2,3]=>[3,2,6,8,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,6,3,1,8,2,7,4]=>[4,7,2,8,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,6,3,5,8,2,7,1]=>[1,7,2,8,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,6,3,8,1,2,7,5]=>[5,7,2,1,8,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,7,8,4,1,6,2,5]=>[5,2,6,1,4,8,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [3,2,5,1,6,8,4,7]=>[7,4,8,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,2,5,4,8,1,7]=>[7,1,8,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,5,2,4,7,1,8,6]=>[6,8,1,7,4,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,8,2,4,7,6,1]=>[1,6,7,4,2,8,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [4,2,5,8,3,7,6,1]=>[1,6,7,3,8,5,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,2,6,5,3,8,1,7]=>[7,1,8,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,2,1,6,8,3,7]=>[7,3,8,6,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,5,1,4,8,2,7]=>[7,2,8,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,1,5,3,8,2,7]=>[7,2,8,3,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,6,4,3,8,2,7]=>[7,2,8,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,3,2,7,1,8,6]=>[6,8,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,3,8,2,7,6,1]=>[1,6,7,2,8,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,3,6,2,8,7,5,1]=>[1,5,7,8,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [4,3,7,6,2,1,8,5]=>[5,8,1,2,6,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,3,1,7,2,8,5]=>[5,8,2,7,1,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,5,4,3,1,8,2,6]=>[6,2,8,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,7,5,8,3,2,6]=>[6,2,3,8,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,3,5,8,4,2,6]=>[6,2,4,8,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,2,5,8,4,1,3,6]=>[6,3,1,4,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [3,5,8,7,1,4,6,2]=>[2,6,4,1,7,8,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [1,4,5,8,7,3,6,2]=>[2,6,3,7,8,5,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [1,5,4,8,7,3,6,2]=>[2,6,3,7,8,4,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [6,4,3,8,1,7,5,2]=>[2,5,7,1,8,3,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [4,3,7,1,8,6,5,2]=>[2,5,6,8,1,7,3,4]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [4,8,3,7,6,5,2,1]=>[1,2,5,6,7,3,8,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,3,1,1,1]=>1 [5,3,8,7,6,4,2,1]=>[1,2,4,6,7,8,3,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,2,2,1,1]=>1 [7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [1,8,6,5,3,7,4,2]=>[2,4,7,3,5,6,8,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [1,5,8,6,3,7,4,2]=>[2,4,7,3,6,8,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [4,6,1,8,7,3,5,2]=>[2,5,3,7,8,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [6,8,7,3,1,4,5,2]=>[2,5,4,1,3,7,8,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,2,1]=>2 [6,2,8,7,4,5,1,3]=>[3,1,5,4,7,8,2,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [7,6,2,8,4,1,3,5]=>[5,3,1,4,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,3,1,6,8,4,2,5]=>[5,2,4,8,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,7,1,6,3,2,8,4]=>[4,8,2,3,6,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,7,5,3,2,8,4]=>[4,8,2,3,5,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,6,5,3,2,1,8,4]=>[4,8,1,2,3,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,5,3,2,8,7,4,1]=>[1,4,7,8,2,3,5,6]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [5,2,6,3,8,7,4,1]=>[1,4,7,8,3,6,2,5]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [5,2,7,6,3,1,8,4]=>[4,8,1,3,6,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,5,2,1,7,3,8,4]=>[4,8,3,7,1,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,2,6,3,1,8,5]=>[5,8,1,3,6,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,8,6,3,7,5,1]=>[1,5,7,3,6,8,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [3,8,6,2,4,7,5,1]=>[1,5,7,4,2,6,8,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [7,3,6,2,4,1,8,5]=>[5,8,1,4,2,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,7,2,1,4,8,5]=>[5,8,4,1,2,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,7,8,2,1,5,6]=>[6,5,1,2,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [3,8,2,5,7,1,6,4]=>[4,6,1,7,5,2,8,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [8,3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [7,8,3,6,2,1,5,4]=>[4,5,1,2,6,3,8,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [8,7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7,8]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [4,7,8,2,1,6,5,3]=>[3,5,6,1,2,8,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [4,2,6,8,1,7,5,3]=>[3,5,7,1,8,6,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [5,4,8,2,7,1,6,3]=>[3,6,1,7,2,8,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [4,8,1,5,7,2,6,3]=>[3,6,2,7,5,1,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [5,8,7,2,6,1,3,4]=>[4,3,1,6,2,7,8,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [8,6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6,8]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [3,6,8,1,7,5,2,4]=>[4,2,5,7,1,8,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [5,1,6,8,2,7,4,3]=>[3,4,7,2,8,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [5,2,7,1,8,6,4,3]=>[3,4,6,8,1,7,2,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [5,8,2,7,6,4,3,1]=>[1,3,4,6,7,2,8,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,1,2,1,1]=>1 [6,2,8,7,5,4,3,1]=>[1,3,4,5,7,8,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,1,2,1]=>1 [7,6,2,1,8,5,4,3]=>[3,4,5,8,1,2,6,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [6,1,7,2,8,5,4,3]=>[3,4,5,8,2,7,1,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [7,5,1,8,2,6,4,3]=>[3,4,6,2,8,1,5,7]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [4,7,1,8,6,2,5,3]=>[3,5,2,6,8,1,7,4]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [7,8,3,1,6,5,2,4]=>[4,2,5,6,1,3,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [8,7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7,8]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>2 [8,5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5,8]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>2 [6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,1,2,1]=>2 [7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,2]=>2 [5,4,2,3,7,6,1,8]=>[8,1,6,7,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,7,3,5,1,8]=>[8,1,5,3,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,6,3,5,1,8]=>[8,1,5,3,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,2,7,6,4,5,1,8]=>[8,1,5,4,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,2,6,3,5,1,8]=>[8,1,5,3,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,2,3,4,1,8]=>[8,1,4,3,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,2,3,8,4,7]=>[7,4,8,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,7,5,2,8,3,4,6]=>[6,4,3,8,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,8,5,2,3,1,4,7]=>[7,4,1,3,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,6,2,3,1,4,7]=>[7,4,1,3,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,2,6,3,1,5,7]=>[7,5,1,3,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,2,8,6,4,1,5,7]=>[7,5,1,4,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,1,6,4,8,5,7]=>[7,5,8,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,1,5,2,8,3,4,6]=>[6,4,3,8,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,8,5,2,7,3,4,6]=>[6,4,3,7,2,5,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,6,7,2,3,4,5]=>[5,4,3,2,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [7,1,6,8,2,3,4,5]=>[5,4,3,2,8,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [3,2,1,7,8,4,5,6]=>[6,5,4,8,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,2,8,7,1,4,5,6]=>[6,5,4,1,7,8,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,8,7,2,1,3,4,6]=>[6,4,3,1,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,7,6,8,2,3,4,5]=>[5,4,3,2,8,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,5,8,2,3,1,4,7]=>[7,4,1,3,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [6,4,2,8,3,1,5,7]=>[7,5,1,3,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,2,3,8,1,6,7]=>[7,6,1,8,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,5,4,1,8,6,7]=>[7,6,8,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,2,3,1,8,6,7]=>[7,6,8,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,2,3,1,8,6,7]=>[7,6,8,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,4,2,1,3,8,5,7]=>[7,5,8,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,4,2,1,8,3,5,6]=>[6,5,3,8,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [1,4,2,8,7,3,5,6]=>[6,5,3,7,8,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,5,8,2,7,3,4,6]=>[6,4,3,7,2,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,5,1,2,3,8,4,7]=>[7,4,8,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,2,1,3,8,5,7]=>[7,5,8,3,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,6,1,4,8,5,7]=>[7,5,8,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,7,1,8,4,5,6]=>[6,5,4,8,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,2,1,8,3,5,6]=>[6,5,3,8,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,6,1,8,2,3,4,5]=>[5,4,3,2,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [8,6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [1,6,8,7,2,3,4,5]=>[5,4,3,2,7,8,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [1,7,8,6,2,3,4,5]=>[5,4,3,2,6,8,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [7,8,1,6,2,3,4,5]=>[5,4,3,2,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [4,8,2,1,7,3,5,6]=>[6,5,3,7,1,2,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,2,8,1,7,4,5,6]=>[6,5,4,7,1,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,1,8,2,7,3,4,6]=>[6,4,3,7,2,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [6,1,8,7,2,3,4,5]=>[5,4,3,2,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [6,3,5,1,2,4,8,7]=>[7,8,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,6,1,2,8,7]=>[7,8,2,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [6,3,7,5,1,8,4,2]=>[2,4,8,1,5,7,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,5,2,7,1,8,3,4]=>[4,3,8,1,7,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [2,6,1,5,4,3,8,7]=>[7,8,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,3,5,1,2,8,7]=>[7,8,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,1,4,6,2,8,7]=>[7,8,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,4,6,5,2,8,7]=>[7,8,2,5,6,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,7,4,6,2,8,3,1]=>[1,3,8,2,6,4,7,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [8,1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [3,4,7,8,5,2,1,6]=>[6,1,2,5,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,1,8,5,7,3,4,6]=>[6,4,3,7,5,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>2 [5,8,2,4,6,7,3,1]=>[1,3,7,6,4,2,8,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [3,4,8,6,5,7,1,2]=>[2,1,7,5,6,8,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [7,5,4,8,1,6,3,2]=>[2,3,6,1,8,4,5,7]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [5,1,4,6,8,2,7,3]=>[3,7,2,8,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,5,4,6,7,1,8,3]=>[3,8,1,7,6,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,6,3,7,5,8,1]=>[1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,1,6,3,8,5,7,2]=>[2,7,5,8,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,7,4,2,8,6,5,1]=>[1,5,6,8,2,4,7,3]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [7,4,1,3,5,8,6,2]=>[2,6,8,5,3,1,4,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [6,5,8,4,1,7,3,2]=>[2,3,7,1,4,8,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [8,5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [2,1,4,8,3,7,6,5]=>[5,6,7,3,8,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [7,4,3,8,2,1,6,5]=>[5,6,1,2,8,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,3,7,4,1,8,2,5]=>[5,2,8,1,4,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [3,1,8,2,7,6,5,4]=>[4,5,6,7,2,8,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1]=>4 [2,3,8,1,6,7,5,4]=>[4,5,7,6,1,8,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [4,3,7,2,6,8,5,1]=>[1,5,8,6,2,7,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,7,2,3,8,5,6,1]=>[1,6,5,8,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,8,2,1,7,5,6,4]=>[4,6,5,7,1,2,8,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [2,8,1,3,6,5,7,4]=>[4,7,5,6,3,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,7,8,5,4,3,1,6]=>[6,1,3,4,5,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [3,8,6,7,2,4,1,5]=>[5,1,4,2,7,6,8,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [5,3,8,7,4,2,6,1]=>[1,6,2,4,7,8,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [8,3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,3,5,8,2,4,1,6]=>[6,1,4,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,3,4,1,8,5,7,6]=>[6,7,5,8,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,3,2,6,7,8,5]=>[5,8,7,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,3,6,1,8,7,2,4]=>[4,2,7,8,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,6,2,8,7,4,1,3]=>[3,1,4,7,8,2,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>3 [2,8,6,5,4,7,1,3]=>[3,1,7,4,5,6,8,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [8,1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,8,3,6,1,7,2,4]=>[4,2,7,1,6,3,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,1,8,6,5,7,3,4]=>[4,3,7,5,6,8,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,1,7,5,3,6,8,4]=>[4,8,6,3,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,7,3,5,2,1,8,4]=>[4,8,1,2,5,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,1,4,2,5,6,8,3]=>[3,8,6,5,2,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,7,4,1,6,5,8,3]=>[3,8,5,6,1,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,1,2,8,7,3,5]=>[5,3,7,8,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,1,5,8,7,6,3]=>[3,6,7,8,5,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [4,1,2,5,8,6,7,3]=>[3,7,6,8,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,4,2,1,5,8,7,3]=>[3,7,8,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [8,5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,5,3,2,6,8,1,4]=>[4,1,8,6,2,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,5,3,6,8,7,4]=>[4,7,8,6,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [7,3,5,4,6,1,8,2]=>[2,8,1,6,4,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,4,1,5,7,8,2]=>[2,8,7,5,1,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,1,5,7,6,8,2]=>[2,8,6,7,5,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,1,4,5,6,8,7,2]=>[2,7,8,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [4,5,2,6,3,1,8,7]=>[7,8,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,2,7,4,8,3,1]=>[1,3,8,4,7,2,5,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [8,5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [6,3,7,5,2,8,4,1]=>[1,4,8,2,5,7,3,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,1,6,5,4,2,8,7]=>[7,8,2,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,3,2,4,1,8,7]=>[7,8,1,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,6,2,4,1,5,8,7]=>[7,8,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,1,3,5,4,8,7]=>[7,8,4,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,7,2,3,4,8,5,1]=>[1,5,8,4,3,2,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [5,1,7,3,8,4,6,2]=>[2,6,4,8,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [2,5,7,3,8,6,4,1]=>[1,4,6,8,3,7,5,2]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [7,6,1,3,5,8,4,2]=>[2,4,8,5,3,1,6,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [3,6,7,4,1,8,5,2]=>[2,5,8,1,4,7,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,6,3,7,4,8,1,2]=>[2,1,8,4,7,3,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [2,1,6,7,4,8,5,3]=>[3,5,8,4,7,6,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [5,8,3,7,4,2,6,1]=>[1,6,2,4,7,3,8,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [3,8,7,4,1,2,6,5]=>[5,6,2,1,4,7,8,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [7,8,1,3,5,2,6,4]=>[4,6,2,5,3,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [5,8,7,3,2,6,1,4]=>[4,1,6,2,3,7,8,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [2,8,6,3,1,5,7,4]=>[4,7,5,1,3,6,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,8,4,1,6,3,7,5]=>[5,7,3,6,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,8,1,2,7,6,3,5]=>[5,3,6,7,2,1,8,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,8,4,2,5,7,1,6]=>[6,1,7,5,2,4,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,3,5,2,7,4,1]=>[1,4,7,2,5,3,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [2,1,5,3,8,7,6,4]=>[4,6,7,8,3,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [6,5,3,2,8,7,1,4]=>[4,1,7,8,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [7,5,2,4,8,1,6,3]=>[3,6,1,8,4,2,5,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,4,2,8,5,7,6,1]=>[1,6,7,5,8,2,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [2,4,1,8,7,6,5,3]=>[3,5,6,7,8,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>3 [8,4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [4,3,1,8,6,7,5,2]=>[2,5,7,6,8,1,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [3,1,4,8,6,5,7,2]=>[2,7,5,6,8,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,1,6,5,4,8,2,3]=>[3,2,8,4,5,6,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,7,5,6,8,4,2,1]=>[1,2,4,8,6,5,7,3]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [5,7,1,6,8,2,4,3]=>[3,4,2,8,6,1,7,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,6,2,5,8,3,7,1]=>[1,7,3,8,5,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [7,5,2,6,3,8,1,4]=>[4,1,8,3,6,2,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,1,2,3,6,8,7,5]=>[5,7,8,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,4,3,1,8,5,6,7]=>[7,6,5,8,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,5,2,8,3,4,6,1]=>[1,6,4,3,8,2,5,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [5,6,2,8,4,3,1,7]=>[7,1,3,4,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,7,2,8,1,5,3,6]=>[6,3,5,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [3,6,8,7,1,5,4,2]=>[2,4,5,1,7,8,6,3]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>2 [5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,1,8,5,4,3,6,2]=>[2,6,3,4,5,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [2,7,8,4,5,3,6,1]=>[1,6,3,5,4,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [5,7,3,8,1,4,6,2]=>[2,6,4,1,8,3,7,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [2,1,7,8,5,4,6,3]=>[3,6,4,5,8,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [2,1,5,8,4,6,3,7]=>[7,3,6,4,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,3,8,4,1,2,7]=>[7,2,1,4,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,5,8,4,3,6,2,1]=>[1,2,6,3,4,8,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [2,4,8,3,5,6,1,7]=>[7,1,6,5,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,1,8,3,6,5,2,7]=>[7,2,5,6,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,4,8,1,7,2,5,6]=>[6,5,2,7,1,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [3,1,8,2,4,7,6,5]=>[5,6,7,4,2,8,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,3,8,1,4,6,7,5]=>[5,7,6,4,1,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,3,8,2,5,1,7,6]=>[6,7,1,5,2,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,3,8,4,2,5,7,1]=>[1,7,5,2,4,8,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,4,3,8,2,5,1,6]=>[6,1,5,2,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,1,4,8,3,5,7,6]=>[6,7,5,3,8,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,8,2,4,3,5,1,7]=>[7,1,5,3,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,2,3,5,1,6,7]=>[7,6,1,5,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,2,1,4,6,5,7]=>[7,5,6,4,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,1,3,4,5,7,6]=>[6,7,5,4,3,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,4,1,6,5,3,7]=>[7,3,5,6,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,4,1,6,5,7,3]=>[3,7,5,6,1,4,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,8,7,6,1,4,3,5]=>[5,3,4,1,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [2,8,5,6,7,4,3,1]=>[1,3,4,7,6,5,8,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,1,3,1]=>1 [7,5,8,6,1,4,2,3]=>[3,2,4,1,6,8,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [3,5,7,6,1,4,2,8]=>[8,2,4,1,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,2,4,1,6,8]=>[8,6,1,4,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,8,2,4,1,6,3]=>[3,6,1,4,2,8,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [2,8,5,3,4,7,6,1]=>[1,6,7,4,3,5,8,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [2,8,5,3,4,1,7,6]=>[6,7,1,4,3,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,5,3,4,1,6,7]=>[7,6,1,4,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,7,6,1,4,5,3]=>[3,5,4,1,6,7,8,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [2,8,5,3,6,1,7,4]=>[4,7,1,6,3,5,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,8,5,6,7,4,1,3]=>[3,1,4,7,6,5,8,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [2,8,5,3,4,7,1,6]=>[6,1,7,4,3,5,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,5,3,4,6,1,7]=>[7,1,6,4,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,5,3,4,6,7,1]=>[1,7,6,4,3,5,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [3,5,7,2,4,6,1,8]=>[8,1,6,4,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,7,3,1,4,8]=>[8,4,1,3,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,8,3,1,7,4]=>[4,7,1,3,8,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,5,2,8,3,1,4,7]=>[7,4,1,3,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,5,8,2,4,6,3,1]=>[1,3,6,4,2,8,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [7,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,7]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,1,2,2]=>2 [6,5,8,2,1,3,7,4]=>[4,7,3,1,2,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,5,6,2,1,8,7,4]=>[4,7,8,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,5,7,6,1,4,8,2]=>[2,8,4,1,6,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,7,2,4,1,8,6]=>[6,8,1,4,2,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,7,2,4,6,8,1]=>[1,8,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,2,7,3,1,8,4]=>[4,8,1,3,7,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,5,2,6,3,1,7,8]=>[8,7,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,3,7,6,8,5]=>[5,8,6,7,3,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,5,2,7,3,4,8,1]=>[1,8,4,3,7,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,1,6,7,4,3,8,2]=>[2,8,3,4,7,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,2,6,4,8,7,3]=>[3,7,8,4,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,1,2,8,6,4,7,3]=>[3,7,4,6,8,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,1,6,8,7,3,4,2]=>[2,4,3,7,8,6,1,5]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [6,5,2,8,3,7,4,1]=>[1,4,7,3,8,2,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [4,1,2,3,8,7,5,6]=>[6,5,7,8,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,2,3,8,6,5,7]=>[7,5,6,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,2,3,8,6,7,5]=>[5,7,6,8,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,1,2,3,7,6,5,8]=>[8,5,6,7,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,3,8,5,7,6]=>[6,7,5,8,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [7,1,6,8,4,3,5,2]=>[2,5,3,4,8,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [6,1,2,8,4,5,7,3]=>[3,7,5,4,8,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,6,8,2,3,1,7,4]=>[4,7,1,3,2,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,5,8,2,4,3,1,7]=>[7,1,3,4,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,5,8,2,4,3,7,1]=>[1,7,3,4,2,8,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,5,2,8,3,4,1,6]=>[6,1,4,3,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,5,2,8,3,7,1,4]=>[4,1,7,3,8,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,5,2,7,3,4,1,8]=>[8,1,4,3,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,7,4,3,2,8]=>[8,2,3,4,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,8,7,3,2,4]=>[4,2,3,7,8,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [7,1,6,8,4,3,2,5]=>[5,2,3,4,8,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [5,7,8,6,3,4,2,1]=>[1,2,4,3,6,8,7,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,2,2,2]=>1 [4,1,8,3,6,5,7,2]=>[2,7,5,6,3,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,1,8,3,6,2,7,5]=>[5,7,2,6,3,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,1,4,8,6,2,7,5]=>[5,7,2,6,8,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,1,4,8,6,5,2,7]=>[7,2,5,6,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,1,6,5,8,3,2,4]=>[4,2,3,8,5,6,1,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,1,6,7,8,3,2,5]=>[5,2,3,8,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,1,6,5,7,3,2,8]=>[8,2,3,7,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,6,3,7,1,8]=>[8,1,7,3,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,7,3,8,1,6]=>[6,1,8,3,7,2,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,6,2,4,8,7,1]=>[1,7,8,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,5,6,2,4,8,1,7]=>[7,1,8,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,7,5,6,8,4,1,2]=>[2,1,4,8,6,5,7,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,6,5,2,8,1,7,4]=>[4,7,1,8,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,1,2,5,8,4,7,3]=>[3,7,4,8,5,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,1,6,5,8,3,4,2]=>[2,4,3,8,5,6,1,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,5,2,6,3,8,4,1]=>[1,4,8,3,6,2,5,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [4,1,2,3,5,8,7,6]=>[6,7,8,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,1,2,3,7,8,6,5]=>[5,6,8,7,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [4,5,2,7,3,8,6,1]=>[1,6,8,3,7,2,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,1,6,7,8,3,5,2]=>[2,5,3,8,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,1,2,6,8,5,7,3]=>[3,7,5,8,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,1,2,5,6,8,7,3]=>[3,7,8,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,5,2,6,3,7,8,1]=>[1,8,7,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>2 [7,8,4,2,1,5,3,6]=>[6,3,5,1,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,1,6,5,3,4]=>[4,3,5,6,1,2,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [6,4,1,2,5,7,3,8]=>[8,3,7,5,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,8,1,5,7,3,6]=>[6,3,7,5,1,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,8,1,7,2,5,6]=>[6,5,2,7,1,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [6,3,1,4,7,2,5,8]=>[8,5,2,7,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,3,4,5,1,6,2]=>[2,6,1,5,4,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,8,3,5,4,2,1,6]=>[6,1,2,4,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,4,1,2,3,6,5]=>[5,6,3,2,1,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>2 [7,8,2,1,5,3,4,6]=>[6,4,3,5,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,6,4,1,3,5]=>[5,3,1,4,6,2,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,2,5,6,4,1,3]=>[3,1,4,6,5,2,8,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,2]=>3 [7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,1,2]=>2 [2,1,8,7,5,4,3,6]=>[6,3,4,5,7,8,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,3,8,2,6,4,7,5]=>[5,7,4,6,2,8,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,3,7,1,6,4,8,2]=>[2,8,4,6,1,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,6,2,7,4,1,8]=>[8,1,4,7,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,5,8,7,4,3]=>[3,4,7,8,5,2,1,6]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [6,3,1,8,4,2,7,5]=>[5,7,2,4,8,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,2,1,5,3,8,7]=>[7,8,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,3,7,5,8,1,2]=>[2,1,8,5,7,3,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,3,8,7,5,6,1,2]=>[2,1,6,5,7,8,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [2,4,7,1,5,3,6,8]=>[8,6,3,5,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,7,6,4,2,8,5]=>[5,8,2,4,6,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,7,5,6,8,4,3]=>[3,4,8,6,5,7,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [3,7,2,8,6,4,1,5]=>[5,1,4,6,8,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,8,1,7,6,4,5,2]=>[2,5,4,6,7,1,8,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>2 [1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [2,7,5,8,3,6,1,4]=>[4,1,6,3,8,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,5,6,8,2,4,7,3]=>[3,7,4,2,8,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,6,8,5,3,1,4,7]=>[7,4,1,3,5,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,1,4,7,3,5,8]=>[8,5,3,7,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,3,8,4,1,2]=>[2,1,4,8,3,7,6,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [5,2,8,1,4,7,3,6]=>[6,3,7,4,1,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,6,7,5,2,1,3,8]=>[8,3,1,2,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,7,2,8,1,3]=>[3,1,8,2,7,6,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,5,7,6,1,8,3,2]=>[2,3,8,1,6,7,5,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,5,8,6,2,7,3,4]=>[4,3,7,2,6,8,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,6,5,7,1,2,8,3]=>[3,8,2,1,7,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,5,6,3,1,8,2]=>[2,8,1,3,6,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,6,3,4,2,8,7]=>[7,8,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,7,1,4,2,3,8,6]=>[6,8,3,2,4,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,7,6,4,3,8,1,2]=>[2,1,8,3,4,6,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,3,4,5,8,7,1,2]=>[2,1,7,8,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,2,4,1,8,3,7,5]=>[5,7,3,8,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,2,3,5,4,8,1,7]=>[7,1,8,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,1,3,4,5,8,7,2]=>[2,7,8,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,1,4,2,7,6,8,3]=>[3,8,6,7,2,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,6,2,4,7,8,3,5]=>[5,3,8,7,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,7,2,4,1,6,3,8]=>[8,3,6,1,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,4,2,8,5,3,7]=>[7,3,5,8,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,7,5,8,1,4,3,2]=>[2,3,4,1,8,5,7,6]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [5,8,7,6,2,3,1,4]=>[4,1,3,2,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,1,1]=>4 [4,1,7,2,6,5,3,8]=>[8,3,5,6,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,2,1,5,6,3,7]=>[7,3,6,5,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,2,7,8,1,6,3,5]=>[5,3,6,1,8,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [3,1,4,7,8,2,6,5]=>[5,6,2,8,7,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,1,7,4,5,6,8,2]=>[2,8,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,7,5,6,8,1,2]=>[2,1,8,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,8,6,3,5,7,1,2]=>[2,1,7,5,3,6,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,8,1,2,5,3,7,6]=>[6,7,3,5,2,1,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,8,6,5,2,4,1,7]=>[7,1,4,2,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,5,6,1,4,7,2]=>[2,7,4,1,6,5,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,3,7,8,2,1,6,4]=>[4,6,1,2,8,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>3 [3,6,7,8,5,1,4,2]=>[2,4,1,5,8,7,6,3]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [3,7,6,8,5,2,1,4]=>[4,1,2,5,8,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [3,7,8,5,1,2,4,6]=>[6,4,2,1,5,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [3,7,1,6,4,2,5,8]=>[8,5,2,4,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,8,6,2,3,5,7]=>[7,5,3,2,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,7,8,6,3,5,1,2]=>[2,1,5,3,6,8,7,4]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>2 [2,1,7,6,5,3,4,8]=>[8,4,3,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,1,6,4,5,3,7]=>[7,3,5,4,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,7,5,1,4,3,6]=>[6,3,4,1,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [2,8,6,7,5,1,3,4]=>[4,3,1,5,7,6,8,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [2,7,8,6,5,4,1,3]=>[3,1,4,5,6,8,7,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [6,3,1,2,7,4,8,5]=>[5,8,4,7,2,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,2,7,1,3,8,5]=>[5,8,3,1,7,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,4,2,5,1,3,8,6]=>[6,8,3,1,5,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,5,3,6,1,8,2,4]=>[4,2,8,1,6,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,3,6,2,4,8,1,5]=>[5,1,8,4,2,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,7,1,2,5,8,6]=>[6,8,5,2,1,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,6,2,7,1,4,8,5]=>[5,8,4,1,7,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,6,7,1,2,8,4]=>[4,8,2,1,7,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,7,4,1,2,8,5]=>[5,8,2,1,4,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,7,1,5,2,3,8,6]=>[6,8,3,2,5,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,5,1,2,4,8,6]=>[6,8,4,2,1,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,6,4,2,3,8,1,5]=>[5,1,8,3,2,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,7,6,3,8,1,2,5]=>[5,2,1,8,3,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,7,4,2,3,8,1,6]=>[6,1,8,3,2,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,7,6,1,4,8,2,5]=>[5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,7,2,6,1,8,3,4]=>[4,3,8,1,6,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,4,7,5,2,8,1,3]=>[3,1,8,2,5,7,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,4,8,5,2,6,1,3]=>[3,1,6,2,5,8,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,6,1,2,7,4,5]=>[5,4,7,2,1,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,6,2,4,7,1,5]=>[5,1,7,4,2,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,4,3,7,1,2,5]=>[5,2,1,7,3,4,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,5,3,7,1,2,4]=>[4,2,1,7,3,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,5,7,1,2,4,6]=>[6,4,2,1,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,8,5,7,1,3,4,6]=>[6,4,3,1,7,5,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,8,6,2,7,1,3,5]=>[5,3,1,7,2,6,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [7,3,8,5,6,1,2,4]=>[4,2,1,6,5,8,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,3,7,5,8,1,2,4]=>[4,2,1,8,5,7,3,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,7,6,4,8,1,3,5]=>[5,3,1,8,4,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,6,5,8,1,3,4,7]=>[7,4,3,1,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,6,5,8,1,2,4,7]=>[7,4,2,1,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,7,4,8,1,3,6]=>[6,3,1,8,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,4,6,7,2,8,1,3]=>[3,1,8,2,7,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,6,3,7,1,8,2,5]=>[5,2,8,1,7,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,5,7,1,4,8,2,6]=>[6,2,8,4,1,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,3,7,2,4,8,1,6]=>[6,1,8,4,2,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,4,7,3,8,1,2,6]=>[6,2,1,8,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,6,3,8,1,2,5]=>[5,2,1,8,3,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [7,4,1,6,8,2,3,5]=>[5,3,2,8,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,4,1,7,8,2,3,6]=>[6,3,2,8,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,5,3,7,1,8,2,4]=>[4,2,8,1,7,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,1,2,7,8,3,4]=>[4,3,8,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,3,6,4,7,8,1,2]=>[2,1,8,7,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,3,7,4,8,5,1,2]=>[2,1,5,8,4,7,3,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,7,1,5,8,6,2,3]=>[3,2,6,8,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,5,1,2,8,6,3,4]=>[4,3,6,8,2,1,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,5,3,8,1,6,2,4]=>[4,2,6,1,8,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,4,1,8,6,2,3,5]=>[5,3,2,6,8,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,6,1,8,5,2,3,4]=>[4,3,2,5,8,1,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [8,6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6,8]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [5,7,2,8,1,6,3,4]=>[4,3,6,1,8,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,4,7,8,2,5,1,3]=>[3,1,5,2,8,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,3,7,8,5,1,2,4]=>[4,2,1,5,8,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [3,6,8,2,7,1,4,5]=>[5,4,1,7,2,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [2,4,8,7,1,3,5,6]=>[6,5,3,1,7,8,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,3,8,7,1,2,5,6]=>[6,5,2,1,7,8,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,3,8,7,1,2,4,6]=>[6,4,2,1,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [8,3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [5,4,8,7,1,2,3,6]=>[6,3,2,1,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [3,5,8,7,1,2,4,6]=>[6,4,2,1,7,8,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,5,8,7,1,3,4,6]=>[6,4,3,1,7,8,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,6,8,2,7,1,3,5]=>[5,3,1,7,2,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [4,7,1,8,6,2,3,5]=>[5,3,2,6,8,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,5,8,6,4,1,2,3]=>[3,2,1,4,6,8,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [6,8,4,7,5,1,2,3]=>[3,2,1,5,7,4,8,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [5,8,7,1,6,2,3,4]=>[4,3,2,6,1,7,8,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [2,8,7,6,1,3,4,5]=>[5,4,3,1,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [3,8,7,6,1,2,4,5]=>[5,4,2,1,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,8,7,6,1,2,3,5]=>[5,3,2,1,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [7,5,3,8,2,1,6,4]=>[4,6,1,2,8,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,8,7,4,5,1,6,2]=>[2,6,1,5,4,7,8,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [6,7,1,4,5,8,2,3]=>[3,2,8,5,4,1,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,1,7,8,5,3,6,4]=>[4,6,3,5,8,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,7,3,8,1,2,6,4]=>[4,6,2,1,8,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [2,7,8,4,1,6,5,3]=>[3,5,6,1,4,8,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,1,8,4,2,6,5,3]=>[3,5,6,2,4,8,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [6,5,3,1,8,4,7,2]=>[2,7,4,8,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,4,3,8,1,5,7,2]=>[2,7,5,1,8,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [8,6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7,8]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [7,3,8,4,1,6,5,2]=>[2,5,6,1,4,8,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [2,3,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,6,8,9,1,7]=>[7,1,9,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>7 [2,3,4,5,7,8,9,1,6]=>[6,1,9,8,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[6,3]=>6 [2,3,5,6,7,8,9,1,4]=>[4,1,9,8,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5]=>4 [2,4,5,6,7,8,9,1,3]=>[3,1,9,8,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,6]=>3 [3,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>2 [2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [2,3,4,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,3,4,5,6,7,1,8,9]=>[9,8,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,6,7,8,10,1,9]=>[9,1,10,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,3,4,5,6,1,9,7,8]=>[8,7,9,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [2,3,4,5,6,7,9,10,1,8]=>[8,1,10,9,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,2]=>8 [2,3,4,5,1,8,9,6,7]=>[7,6,9,8,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>7 [2,3,4,5,6,8,9,10,1,7]=>[7,1,10,9,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0]=>[7,3]=>7 [2,3,4,1,7,8,9,5,6]=>[6,5,9,8,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0]=>[6,3]=>6 [2,1,5,6,7,8,9,3,4]=>[4,3,9,8,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5]=>4 [2,3,5,6,7,8,9,10,1,4]=>[4,1,10,9,8,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,6]=>4 [1,4,5,6,7,8,9,2,3]=>[3,2,9,8,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,6]=>3 [2,4,5,6,7,8,9,10,1,3]=>[3,1,10,9,8,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,7]=>3 [3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,8]=>2 [3,6,4,5,7,2,8,1]=>[1,8,2,7,5,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,2,7,4,6,8,1]=>[1,8,6,4,7,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,3,6,2,4,8,1]=>[1,8,4,2,6,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,2,5,1,8,4,7]=>[7,4,8,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,2,6,3,4,5,8,1]=>[1,8,5,4,3,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,7,3,4,5,8,1]=>[1,8,5,4,3,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,2,7,4,5,8,1]=>[1,8,5,4,7,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,5,7,3,6,8,1]=>[1,8,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,7,6,2,3,8,1]=>[1,8,3,2,6,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,3,5,2,4,8,1]=>[1,8,4,2,5,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,7,6,2,4,5,8,1]=>[1,8,5,4,2,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,7,6,3,4,5,8,1]=>[1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,3,1,2,8,4,7]=>[7,4,8,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,5,2,1,8,3,4,6]=>[6,4,3,8,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,6,3,2,8,4,5,7]=>[7,5,4,8,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,2,3,1,8,4,7]=>[7,4,8,1,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,8,6,2,7,1,3]=>[3,1,7,2,6,8,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,8,3,5,2,7,1,4]=>[4,1,7,2,5,3,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,8,5,2,3,6,1,4]=>[4,1,6,3,2,5,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [1,8,6,3,7,2,4,5]=>[5,4,2,7,3,6,8,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,8,1,7,3,4,5,6]=>[6,5,4,3,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,8,1,5,7,2,3,6]=>[6,3,2,7,5,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [4,2,8,3,7,1,5,6]=>[6,5,1,7,3,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,1,7,5,8,2,3,6]=>[6,3,2,8,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [4,2,5,7,1,8,3,6]=>[6,3,8,1,7,5,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,7,1,2,8,4,5]=>[5,4,8,2,1,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,3,1,5,8,2,4,6]=>[6,4,2,8,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,2,1,5,8,4,6,7]=>[7,6,4,8,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,1,3,6,8,2,7]=>[7,2,8,6,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,3,4,6,8,2,7]=>[7,2,8,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,1,6,8,2,7]=>[7,2,8,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,3,8,7,1,2]=>[2,1,7,8,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,6,4,5,8,7,1,2]=>[2,1,7,8,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,5,3,4,8,7,1,2]=>[2,1,7,8,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,3,2,8,7,1,4,6]=>[6,4,1,7,8,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,3,1,8,7,2,4,6]=>[6,4,2,7,8,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [8,5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [6,1,8,3,7,2,4,5]=>[5,4,2,7,3,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [6,3,8,1,7,2,4,5]=>[5,4,2,7,1,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [7,6,8,2,3,5,1,4]=>[4,1,5,3,2,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [3,7,8,2,4,6,1,5]=>[5,1,6,4,2,8,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [6,7,3,8,2,5,1,4]=>[4,1,5,2,8,3,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,4,7,8,2,6,1,3]=>[3,1,6,2,8,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,2,5,8,7,1,3,6]=>[6,3,1,7,8,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,3,8,7,1,4,5,6]=>[6,5,4,1,7,8,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [7,2,8,6,1,3,4,5]=>[5,4,3,1,6,8,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [2,1,8,7,3,4,5,6]=>[6,5,4,3,7,8,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [8,2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,3,8,7,2,4,5,6]=>[6,5,4,2,7,8,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,7,8,3,6,2,4,5]=>[5,4,2,6,3,8,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,1,5,8,7,2,3,6]=>[6,3,2,7,8,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,4,8,7,6,1,2,3]=>[3,2,1,6,7,8,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [6,8,3,7,5,1,2,4]=>[4,2,1,5,7,3,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [7,8,6,2,5,1,3,4]=>[4,3,1,5,2,6,8,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [8,1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [8,1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [8,1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,5,1,3,6,2,4,8]=>[8,4,2,6,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [7,4,8,3,2,6,5,1]=>[1,5,6,2,3,8,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [7,4,1,3,2,6,5,8]=>[8,5,6,2,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,4,1,3,2,5,6,8]=>[8,6,5,2,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [6,4,3,8,2,5,7,1]=>[1,7,5,2,8,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,4,3,1,2,5,8,7]=>[7,8,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,4,1,3,2,5,8,6]=>[6,8,5,2,3,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,1,3,2,6,8,5]=>[5,8,6,2,3,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,5,1,3,6,2,8,4]=>[4,8,2,6,3,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,1,4,6,8,2,3]=>[3,2,8,6,4,1,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,4,8,3,2,6,1,5]=>[5,1,6,2,3,8,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,4,8,3,2,5,1,6]=>[6,1,5,2,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,4,3,8,2,5,1,7]=>[7,1,5,2,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,3,2,8,6,1,7]=>[7,1,6,8,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,3,2,8,7,1,6]=>[6,1,7,8,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,5,3,8,7,2,1,4]=>[4,1,2,7,8,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [6,5,4,8,7,1,2,3]=>[3,2,1,7,8,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>3 [6,5,4,1,7,8,2,3]=>[3,2,8,7,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,5,3,1,7,2,8,4]=>[4,8,2,7,1,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,4,3,1,2,7,8,5]=>[5,8,7,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,3,1,8,2,7,4]=>[4,7,2,8,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,5,4,1,8,7,2,3]=>[3,2,7,8,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,4,1,3,2,8,6,5]=>[5,6,8,2,3,1,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [6,4,3,1,2,8,5,7]=>[7,5,8,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,4,3,1,2,7,5,8]=>[8,5,7,2,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,8,2,7,5,1]=>[1,5,7,2,8,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [6,5,3,8,7,2,4,1]=>[1,4,2,7,8,3,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [6,5,3,1,7,2,4,8]=>[8,4,2,7,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,1,8,2,4,7]=>[7,4,2,8,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,5,1,3,8,2,4,6]=>[6,4,2,8,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,6,1,8,3,2,4,5]=>[5,4,2,3,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,6,1,8,4,5,2,3]=>[3,2,5,4,8,1,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [7,6,8,1,4,5,2,3]=>[3,2,5,4,1,8,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [7,6,8,1,3,2,5,4]=>[4,5,2,3,1,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,6]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [6,4,3,7,2,8,5,1]=>[1,5,8,2,7,3,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,4,3,7,2,1,5,8]=>[8,5,1,2,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,8,3,2,1,5,6]=>[6,5,1,2,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,4,8,3,2,1,6,5]=>[5,6,1,2,3,8,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,5,8,3,1,2,6,4]=>[4,6,2,1,3,8,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,5,8,4,1,6,2,3]=>[3,2,6,1,4,8,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [6,5,4,8,1,7,2,3]=>[3,2,7,1,8,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,5,3,8,1,2,7,4]=>[4,7,2,1,8,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,4,3,2,8,1,7,6]=>[6,7,1,8,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,4,3,7,2,1,8,5]=>[5,8,1,2,7,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,5,3,7,1,2,8,4]=>[4,8,2,1,7,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,5,4,7,1,8,2,3]=>[3,2,8,1,7,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,5,3,7,8,2,1,4]=>[4,1,2,8,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,4,3,7,2,8,1,5]=>[5,1,8,2,7,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,3,2,7,8,1,6]=>[6,1,8,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,4,3,2,6,8,1,7]=>[7,1,8,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,8,2,7,4,1,3,6]=>[6,3,1,4,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [5,3,7,8,2,1,4,6]=>[6,4,1,2,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,6,1,2,5,8,3,4]=>[4,3,8,5,2,1,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,7,8,4,3,5,6]=>[6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,8,1,2,5,4,6,3]=>[3,6,4,5,2,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [6,1,8,3,2,4,5,7]=>[7,5,4,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,7,4,2,1,6,3]=>[3,6,1,2,4,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [4,7,2,8,1,3,6,5]=>[5,6,3,1,8,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,3,8,6,1,2,5,4]=>[4,5,2,1,6,8,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [3,4,7,1,8,2,6,5]=>[5,6,2,8,1,7,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,8,2,4,3,5,6,7]=>[7,6,5,3,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,2,4,3,5,6,8]=>[8,6,5,3,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,2,4,3,5,7,8]=>[8,7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,4,3,6,7,8]=>[8,7,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,2,5,3,4,7,8]=>[8,7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,5,3,4,6,8]=>[8,6,4,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,5,3,4,6,7]=>[7,6,4,3,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,2,6,3,4,5,7]=>[7,5,4,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,2,6,3,4,5,8]=>[8,5,4,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,2,8,3,6,5,7]=>[7,5,6,3,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,3,2,8,4,6,5,7]=>[7,5,6,4,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,3,8,4,6,5,7]=>[7,5,6,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,3,7,4,6,5,8]=>[8,5,6,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,7,4,6,5,8]=>[8,5,6,4,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,7,3,6,4,8]=>[8,4,6,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,2,7,3,5,4,8]=>[8,4,5,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,2,5,3,6,4,7]=>[7,4,6,3,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,2,5,3,6,4,8]=>[8,4,6,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,2,5,3,7,4,8]=>[8,4,7,3,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,4,3,7,6,8]=>[8,6,7,3,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,2,4,3,7,5,8]=>[8,5,7,3,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,4,3,6,5,8]=>[8,5,6,3,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,4,3,6,5,7]=>[7,5,6,3,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,2,3,4,6,5,7]=>[7,5,6,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,2,3,4,6,5,8]=>[8,5,6,4,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,2,4,3,7,5,6]=>[6,5,7,3,4,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,7,2,4,3,8,5,6]=>[6,5,8,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,6,2,4,3,8,5,7]=>[7,5,8,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,4,3,8,6,7]=>[7,6,8,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,7,2,5,3,8,4,6]=>[6,4,8,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,8,2,5,3,7,4,6]=>[6,4,7,3,5,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,2,6,3,7,4,5]=>[5,4,7,3,6,2,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,3,2,8,4,7,5,6]=>[6,5,7,4,8,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,4,2,8,3,7,5,6]=>[6,5,7,3,8,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,5,2,8,3,7,4,6]=>[6,4,7,3,8,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,6,2,8,3,7,4,5]=>[5,4,7,3,8,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,7,2,8,3,6,4,5]=>[5,4,6,3,8,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,6,3,7,2,5,1,8]=>[8,1,5,2,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,7,5,2,1,8]=>[8,1,2,5,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,8,5,1,7,2]=>[2,7,1,5,8,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,6,3,8,5,1,2,7]=>[7,2,1,5,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,8,3,4,1,2,7]=>[7,2,1,4,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,8,3,4,1,7,2]=>[2,7,1,4,3,8,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,6,2,7,5,3,1,8]=>[8,1,3,5,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,2,4,3,1,8]=>[8,1,3,4,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,8,4,3,1,7,2]=>[2,7,1,3,4,8,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,6,8,4,3,1,2,7]=>[7,2,1,3,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [5,7,8,4,1,6,3,2]=>[2,3,6,1,4,8,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [5,7,8,4,1,3,6,2]=>[2,6,3,1,4,8,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [5,6,8,4,2,1,7,3]=>[3,7,1,2,4,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,6,8,2,4,1,7,3]=>[3,7,1,4,2,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,6,2,8,5,1,7,3]=>[3,7,1,5,8,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,2,6,8,5,1,7,4]=>[4,7,1,5,8,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,2,6,8,5,1,4,7]=>[7,4,1,5,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,2,8,5,1,3,7]=>[7,3,1,5,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,8,2,4,1,3,7]=>[7,3,1,4,2,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,8,4,2,1,3,7]=>[7,3,1,2,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,7,8,4,1,3,2,6]=>[6,2,3,1,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,7,8,4,1,2,6,3]=>[3,6,2,1,4,8,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [5,7,8,4,1,2,3,6]=>[6,3,2,1,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,7,8,1,5,2,3,4]=>[4,3,2,5,1,8,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [6,7,8,1,5,3,2,4]=>[4,2,3,5,1,8,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,7,8,1,3,5,2,4]=>[4,2,5,3,1,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [5,7,8,2,1,6,3,4]=>[4,3,6,1,2,8,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [4,7,2,8,1,6,3,5]=>[5,3,6,1,8,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,2,7,8,1,6,4,5]=>[5,4,6,1,8,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,2,7,8,1,6,5,4]=>[4,5,6,1,8,7,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [4,7,2,8,1,6,5,3]=>[3,5,6,1,8,2,7,4]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [5,7,8,2,1,6,4,3]=>[3,4,6,1,2,8,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [6,7,8,1,3,5,4,2]=>[2,4,5,3,1,8,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [6,7,8,1,5,3,4,2]=>[2,4,3,5,1,8,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>2 [6,7,8,1,5,4,2,3]=>[3,2,4,5,1,8,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [6,7,8,1,4,5,3,2]=>[2,3,5,4,1,8,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>2 [6,7,8,1,4,3,5,2]=>[2,5,3,4,1,8,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [6,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [5,7,8,2,1,4,6,3]=>[3,6,4,1,2,8,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [4,7,2,8,1,5,6,3]=>[3,6,5,1,8,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,2,7,8,1,5,6,4]=>[4,6,5,1,8,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,2,6,8,4,1,7,5]=>[5,7,1,4,8,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,6,2,8,3,1,7,5]=>[5,7,1,3,8,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,6,8,3,2,1,7,4]=>[4,7,1,2,3,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,7,8,3,1,4,6,2]=>[2,6,4,1,3,8,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [5,7,8,3,1,6,4,2]=>[2,4,6,1,3,8,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [5,7,8,3,1,6,2,4]=>[4,2,6,1,3,8,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,7,3,8,1,6,5,2]=>[2,5,6,1,8,3,7,4]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [4,7,3,8,1,5,6,2]=>[2,6,5,1,8,3,7,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,5,3,2,8,1,7,6]=>[6,7,1,8,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,5,2,3,8,1,7,6]=>[6,7,1,8,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,2,5,4,8,1,7,6]=>[6,7,1,8,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,5,3,2,8,1,6,7]=>[7,6,1,8,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,6,3,8,2,1,5,7]=>[7,5,1,2,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,7,3,8,1,5,2,6]=>[6,2,5,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,7,3,8,1,2,6,5]=>[5,6,2,1,8,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,7,3,8,1,2,5,6]=>[6,5,2,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,8,3,1,2,4,6]=>[6,4,2,1,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,7,8,3,1,2,6,4]=>[4,6,2,1,3,8,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,7,8,3,1,4,2,6]=>[6,2,4,1,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,6,8,3,2,1,4,7]=>[7,4,1,2,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,7,8,1,5,4,6]=>[6,4,5,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,8,2,1,4,3,6]=>[6,3,4,1,2,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,7,8,1,3,4,2,5]=>[5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,1,4,3,2,5]=>[5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,1,4,2,5,3]=>[3,5,2,4,1,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [6,7,8,1,4,2,3,5]=>[5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,1,2,5,3,4]=>[4,3,5,2,1,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,7,8,1,2,5,4,3]=>[3,4,5,2,1,8,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [6,7,8,1,2,4,5,3]=>[3,5,4,2,1,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [6,7,8,1,3,2,5,4]=>[4,5,2,3,1,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [5,7,8,2,1,3,6,4]=>[4,6,3,1,2,8,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [3,2,7,8,1,4,6,5]=>[5,6,4,1,8,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,7,8,1,3,2,4,5]=>[5,4,2,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,1,2,4,3,5]=>[5,3,4,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,1,2,3,5,4]=>[4,5,3,2,1,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [7,2,8,5,1,6,4,3]=>[3,4,6,1,5,8,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [1,3,7,5,2,6,4,8]=>[8,4,6,2,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,7,5,4,2,6,8]=>[8,6,2,4,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,8,5,4,1,6,3]=>[3,6,1,4,5,8,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [2,8,5,4,3,1,7,6]=>[6,7,1,3,4,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,4,5,6,1,7,3]=>[3,7,1,6,5,4,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,8,6,5,7,3,1,4]=>[4,1,3,7,5,6,8,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [2,8,4,5,3,7,1,6]=>[6,1,7,3,5,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,4,3,5,6,1,7]=>[7,1,6,5,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,3,2,8,5,1,4,7]=>[7,4,1,5,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,4,8,2,5,6,3,1]=>[1,3,6,5,2,8,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [7,4,8,5,2,1,3,6]=>[6,3,1,2,5,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,4,8,5,1,3,7,2]=>[2,7,3,1,5,8,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,3,7,5,2,1,8,4]=>[4,8,1,2,5,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,3,7,5,1,2,8,6]=>[6,8,2,1,5,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,7,1,5,6,8,2]=>[2,8,6,5,1,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,1,7,5,2,8,4]=>[4,8,2,5,7,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,4,1,2,7,6,8,5]=>[5,8,6,7,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,2,1,7,5,8,6]=>[6,8,5,7,1,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,6,5,7,1,4,8,2]=>[2,8,4,1,7,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,5,2,7,4,1,8,3]=>[3,8,1,4,7,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,5,2,6,4,8,7,1]=>[1,7,8,4,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,3,1,8,6,4,7,2]=>[2,7,4,6,8,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,6,1,8,7,2,4,3]=>[3,4,2,7,8,1,6,5]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [6,3,5,8,2,7,4,1]=>[1,4,7,2,8,5,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [6,5,8,4,2,3,7,1]=>[1,7,3,2,4,8,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,2,5,8,3,7,1,4]=>[4,1,7,3,8,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,6,5,7,3,4,2,8]=>[8,2,4,3,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,7,4,6,3,8]=>[8,3,6,4,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,8,7,6,3,4]=>[4,3,6,7,8,1,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [7,1,3,8,4,6,2,5]=>[5,2,6,4,8,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,3,4,8,6,1,7,5]=>[5,7,1,6,8,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,3,4,8,6,5,1,7]=>[7,1,5,6,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,3,5,8,6,1,4]=>[4,1,6,8,5,3,7,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,2,4,7,8,6,1,5]=>[5,1,6,8,7,4,2,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,5,4,6,2,7,3,8]=>[8,3,7,2,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,7,1,8,3,6]=>[6,3,8,1,7,4,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,3,6,4,1,8,7,2]=>[2,7,8,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,3,6,1,4,8,2,7]=>[7,2,8,4,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,3,5,6,8,4,2,1]=>[1,2,4,8,6,5,3,7]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [6,3,5,1,8,2,7,4]=>[4,7,2,8,1,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,6,1,5,8,4,7,3]=>[3,7,4,8,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,7,6,5,8,3,4,1]=>[1,4,3,8,5,6,7,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [5,7,1,6,3,8,4,2]=>[2,4,8,3,6,1,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [3,2,4,1,7,8,5,6]=>[6,5,8,7,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,2,7,8,6,5]=>[5,6,8,7,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [5,1,4,7,2,8,6,3]=>[3,6,8,2,7,4,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,6,4,7,8,2,5,1]=>[1,5,2,8,7,4,6,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,1,4,6,8,5,7,2]=>[2,7,5,8,6,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,3,4,5,7,1,8,2]=>[2,8,1,7,5,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,5,4,6,1,7,8,3]=>[3,8,7,1,6,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,1,2,6,5,8]=>[8,5,6,2,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,2,5,4,1,8]=>[8,1,4,5,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,2,5,4,8,1]=>[1,8,4,5,2,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,8,3,2,5,4,7,6]=>[6,7,4,5,2,3,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,4,5,2,3,7,6]=>[6,7,3,2,5,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,3,5,1,6,2,4,8]=>[8,4,2,6,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,1,5,6,3,4,8]=>[8,4,3,6,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,1,6,5,4,3,8]=>[8,3,4,5,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,1,5,4,2,8]=>[8,2,4,5,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,6,5,1,3,2,8]=>[8,2,3,1,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,6,4,3,7,2,5]=>[5,2,7,3,4,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,5,7,4,3,1,8,2]=>[2,8,1,3,4,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,7,5,1,3,8,2]=>[2,8,3,1,5,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,7,1,5,4,8,2]=>[2,8,4,5,1,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,1,7,5,4,8,3]=>[3,8,4,5,7,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,3,8,1,5,4,7,6]=>[6,7,4,5,1,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,4,8,5,1,3,7,6]=>[6,7,3,1,5,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,5,8,4,3,1,7,6]=>[6,7,1,3,4,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,6,8,4,3,7,1,5]=>[5,1,7,3,4,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [1,8,7,4,3,6,5,2]=>[2,5,6,3,4,7,8,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [1,8,7,5,6,3,4,2]=>[2,4,3,6,5,7,8,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [2,6,8,5,7,3,1,4]=>[4,1,3,7,5,8,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [2,5,8,6,7,1,3,4]=>[4,3,1,7,6,8,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [2,4,8,6,1,7,3,5]=>[5,3,7,1,6,8,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,2,1,8,6,7,4,5]=>[5,4,7,6,8,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,2,1,7,6,8,4,3]=>[3,4,8,6,7,1,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,3,7,1,6,8,4,2]=>[2,4,8,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,4,7,6,1,8,3,2]=>[2,3,8,1,6,7,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,5,7,6,8,1,3,2]=>[2,3,1,8,6,7,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [4,6,7,5,8,3,1,2]=>[2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [1,8,6,5,7,3,2,4]=>[4,2,3,7,5,6,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [1,8,5,6,7,2,3,4]=>[4,3,2,7,6,5,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [4,7,5,6,8,2,3,1]=>[1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [4,6,5,7,8,2,1,3]=>[3,1,2,8,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,3,6,1,7,8,2,4]=>[4,2,8,7,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,2,1,6,7,8,3,4]=>[4,3,8,7,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,2,1,5,7,3,8,4]=>[4,8,3,7,5,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,5,1,7,2,8,4]=>[4,8,2,7,1,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,4,5,7,1,2,8,3]=>[3,8,2,1,7,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,4,7,2,1,8,3]=>[3,8,1,2,7,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,6,4,7,2,8,1,3]=>[3,1,8,2,7,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,8,4,6,2,7,3,5]=>[5,3,7,2,6,4,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,7,3,2,6,8,4,1]=>[1,4,8,6,2,3,7,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,6,3,2,7,8,1,4]=>[4,1,8,7,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,3,2,7,1,8,4]=>[4,8,1,7,2,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,4,3,2,1,7,8,5]=>[5,8,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,1,4,3,7,8,5]=>[5,8,7,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,2,1,4,3,8,7,6]=>[6,7,8,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,3,4,1,2,8,7,6]=>[6,7,8,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,6,3,2,8,7,1,5]=>[5,1,7,8,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,7,3,2,8,6,5,1]=>[1,5,6,8,2,3,7,4]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [1,8,3,2,7,6,5,4]=>[4,5,6,7,2,3,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>4 [1,8,4,7,2,6,5,3]=>[3,5,6,2,7,4,8,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [3,7,4,8,2,6,5,1]=>[1,5,6,2,8,4,7,3]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [3,6,4,8,2,7,1,5]=>[5,1,7,2,8,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,5,4,8,2,1,7,6]=>[6,7,1,2,8,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,5,8,1,2,7,6]=>[6,7,2,1,8,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,5,1,8,2,7,6]=>[6,7,2,8,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,2,1,5,8,3,7,6]=>[6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,2,1,6,8,7,3,5]=>[5,3,7,8,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,3,6,1,8,7,2,5]=>[5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,4,6,8,1,7,2,5]=>[5,2,7,1,8,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,5,6,8,7,1,2,4]=>[4,2,1,7,8,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [3,6,5,8,7,2,1,4]=>[4,1,2,7,8,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [3,7,5,8,6,2,4,1]=>[1,4,2,6,8,5,7,3]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [1,8,5,7,6,2,4,3]=>[3,4,2,6,7,5,8,1]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>3 [1,8,6,7,5,4,2,3]=>[3,2,4,5,7,6,8,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>3 [3,6,7,8,5,4,1,2]=>[2,1,4,5,8,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [3,5,7,8,6,1,4,2]=>[2,4,1,6,8,7,5,3]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [3,4,7,8,1,6,5,2]=>[2,5,6,1,8,7,4,3]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [4,2,1,7,8,6,5,3]=>[3,5,6,8,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [2,3,8,1,7,6,5,4]=>[4,5,6,7,1,8,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1]=>4 [2,4,8,7,1,6,5,3]=>[3,5,6,1,7,8,4,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [2,5,8,7,6,1,4,3]=>[3,4,1,6,7,8,5,2]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [2,6,8,7,5,4,1,3]=>[3,1,4,5,7,8,6,2]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>3 [7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [8,3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [8,3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [4,8,3,1,7,5,6,2]=>[2,6,5,7,1,3,8,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [4,6,2,1,7,5,8,3]=>[3,8,5,7,1,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,6,2,7,5,8,3]=>[3,8,5,7,2,6,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,7,5,2,6,8,4,3]=>[3,4,8,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [7,5,2,1,6,8,4,3]=>[3,4,8,6,1,2,5,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [6,8,4,3,1,7,5,2]=>[2,5,7,1,3,4,8,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [3,6,8,4,1,7,5,2]=>[2,5,7,1,4,8,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [3,6,7,5,1,8,4,2]=>[2,4,8,1,5,7,6,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,4,6,5,7,1,8,2]=>[2,8,1,7,5,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,7,5,6,1,8,3,2]=>[2,3,8,1,6,5,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,7,5,1,8,4,3,2]=>[2,3,4,8,1,5,7,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [6,8,4,1,7,5,3,2]=>[2,3,5,7,1,4,8,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,2,2,1]=>2 [6,7,5,3,1,8,4,2]=>[2,4,8,1,3,5,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [8,4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [1,8,4,2,6,7,5,3]=>[3,5,7,6,2,4,8,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [1,5,3,2,7,6,8,4]=>[4,8,6,7,2,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,3,2,1,7,6,8,4]=>[4,8,6,7,1,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,3,1,7,6,8,4]=>[4,8,6,7,1,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,4,1,6,7,5,3]=>[3,5,7,6,1,4,8,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [2,7,5,1,6,8,4,3]=>[3,4,8,6,1,5,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,4,6,1,7,5,8,3]=>[3,8,5,7,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,1,6,5,8,2,3]=>[3,2,8,5,6,1,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,8,2,6,5,7,1,3]=>[3,1,7,5,6,2,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,6,1,2,7,5,8,3]=>[3,8,5,7,2,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,5,1,2,6,8,4,3]=>[3,4,8,6,2,1,5,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [8,4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [5,3,1,2,7,6,8,4]=>[4,8,6,7,2,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,5,3,7,6,8,4]=>[4,8,6,7,3,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,3,1,2,7,6,8,5]=>[5,8,6,7,2,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,5,1,2,7,6,8,4]=>[4,8,6,7,2,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,7,1,5,8,2,3,4]=>[4,3,2,8,5,1,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,7,6,1,5,8,3,4]=>[4,3,8,5,1,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,3,5,1,7,6,8,4]=>[4,8,6,7,1,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,6,1,5,8,3,2,4]=>[4,2,3,8,5,1,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,6,7,1,5,8,2,4]=>[4,2,8,5,1,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,1,6,5,8,2,4,3]=>[3,4,2,8,5,6,1,7]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [7,5,1,6,8,4,2,3]=>[3,2,4,8,6,1,5,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [5,2,3,1,7,6,8,4]=>[4,8,6,7,1,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,2,1,7,6,8,4]=>[4,8,6,7,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,5,2,7,6,8,4]=>[4,8,6,7,2,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,6,2,5,8,3,4]=>[4,3,8,5,2,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,6,2,1,5,8,3,4]=>[4,3,8,5,1,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [6,2,4,1,7,5,8,3]=>[3,8,5,7,1,4,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,2,5,1,7,4,8,3]=>[3,8,4,7,1,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,1,6,4,8,2,5,3]=>[3,5,2,8,4,6,1,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [8,2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,6,2,5,8,3,1,4]=>[4,1,3,8,5,2,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [8,3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [1,8,3,5,7,6,2,4]=>[4,2,6,7,5,3,8,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [1,5,2,3,7,6,8,4]=>[4,8,6,7,3,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,1,3,7,6,8,4]=>[4,8,6,7,3,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,2,6,8,4,1,3]=>[3,1,4,8,6,2,5,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2,8]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>3 [3,6,8,2,5,7,1,4]=>[4,1,7,5,2,8,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,1,3,7,6,8,5]=>[5,8,6,7,3,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,2,3,7,6,8,5]=>[5,8,6,7,3,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,1,3,7,6,8,5]=>[5,8,6,7,3,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,5,1,3,7,6,8,4]=>[4,8,6,7,3,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,3,5,7,6,1,4]=>[4,1,6,7,5,3,8,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [6,8,2,3,5,7,1,4]=>[4,1,7,5,3,2,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,7,1,3,5,8,2,4]=>[4,2,8,5,3,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [5,1,2,3,7,6,8,4]=>[4,8,6,7,3,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,2,4,7,6,8,5]=>[5,8,6,7,4,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [10,8,9,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,9,8,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[7,2,1]=>7 [10,7,8,5,6,9,1,2,3,4]=>[4,3,2,1,9,6,5,8,7,10]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[4,5,1]=>4 [10,6,7,4,5,8,1,2,3,9]=>[9,3,2,1,8,5,4,7,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [10,6,7,3,4,8,1,2,5,9]=>[9,5,2,1,8,4,3,7,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [9,8,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,8,9]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,3,3]=>4 [9,8,10,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,10,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,3]=>7 [9,6,10,4,5,7,1,2,3,8]=>[8,3,2,1,7,5,4,10,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,2]=>8 [9,6,10,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,10,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,2]=>8 [8,7,9,5,6,10,1,2,3,4]=>[4,3,2,1,10,6,5,9,7,8]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,6]=>4 [8,7,9,4,5,10,1,2,3,6]=>[6,3,2,1,10,5,4,9,7,8]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[6,4]=>6 [8,6,9,4,5,10,1,2,3,7]=>[7,3,2,1,10,5,4,9,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[7,3]=>7 [7,6,8,4,5,9,1,2,3,10]=>[10,3,2,1,9,5,4,8,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,7,9,3,4,10,1,2,5,6]=>[6,5,2,1,10,4,3,9,7,8]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[6,4]=>6 [8,6,9,3,4,10,1,2,5,7]=>[7,5,2,1,10,4,3,9,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[7,3]=>7 [7,6,8,3,4,9,1,2,5,10]=>[10,5,2,1,9,4,3,8,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,5,10,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,10,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,2]=>8 [9,5,10,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,10,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,2]=>8 [8,6,9,5,7,10,1,2,3,4]=>[4,3,2,1,10,7,5,9,6,8]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,6]=>4 [8,6,9,4,7,10,1,2,3,5]=>[5,3,2,1,10,7,4,9,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,5]=>5 [8,5,9,4,6,10,1,2,3,7]=>[7,3,2,1,10,6,4,9,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[7,3]=>7 [7,5,8,4,6,9,1,2,3,10]=>[10,3,2,1,9,6,4,8,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,6,9,3,7,10,1,2,4,5]=>[5,4,2,1,10,7,3,9,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,5]=>5 [8,5,9,3,6,10,1,2,4,7]=>[7,4,2,1,10,6,3,9,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[7,3]=>7 [7,5,8,3,6,9,1,2,4,10]=>[10,4,2,1,9,6,3,8,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,4,9,3,5,10,1,2,6,7]=>[7,6,2,1,10,5,3,9,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[7,3]=>7 [7,4,8,3,5,9,1,2,6,10]=>[10,6,2,1,9,5,3,8,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,5,10,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,10,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,2]=>8 [8,6,9,2,7,10,1,3,4,5]=>[5,4,3,1,10,7,2,9,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,5]=>5 [8,5,9,2,6,10,1,3,4,7]=>[7,4,3,1,10,6,2,9,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[7,3]=>7 [7,5,8,2,6,9,1,3,4,10]=>[10,4,3,1,9,6,2,8,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,4,9,2,5,10,1,3,6,7]=>[7,6,3,1,10,5,2,9,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[7,3]=>7 [7,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [2,6,3,8,4,5,7,1]=>[1,7,5,4,8,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,3,1,4,2,6,8,5]=>[5,8,6,2,4,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,4,1,5,6,8,2,3]=>[3,2,8,6,5,1,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,3,2]=>3 [3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [3,7,8,4,2,6,1,5]=>[5,1,6,2,4,8,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [3,7,8,2,4,5,1,6]=>[6,1,5,4,2,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [3,6,2,8,4,5,1,7]=>[7,1,5,4,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,2,4,8,6,1,7]=>[7,1,6,8,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,4,2,8,7,1,6]=>[6,1,7,8,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,6,5,8,7,1,2,3]=>[3,2,1,7,8,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>3 [6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,4,1,2,3,8,5,6]=>[6,5,8,3,2,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,2,4,1,3,7,5,8]=>[8,5,7,3,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [2,6,5,8,7,3,4,1]=>[1,4,3,7,8,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [6,2,5,1,7,3,4,8]=>[8,4,3,7,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,1,8,3,4,7]=>[7,4,3,8,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,2,6,7,3,1,5,8]=>[8,5,1,3,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,8,2,3,1,5,6]=>[6,5,1,3,2,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [5,6,4,8,1,7,2,3]=>[3,2,7,1,8,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,2,5,3,7,1,6,8]=>[8,6,1,7,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,6,7,2,8,1,5]=>[5,1,8,2,7,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,2,5,6,8,1,7]=>[7,1,8,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,7,8,6,4,1,3]=>[3,1,4,6,8,7,2,5]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [5,1,2,7,8,6,4,3]=>[3,4,6,8,7,2,1,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [4,7,1,8,6,5,2,3]=>[3,2,5,6,8,1,7,4]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [4,7,1,2,8,6,5,3]=>[3,5,6,8,2,1,7,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [4,6,8,1,2,7,5,3]=>[3,5,7,2,1,8,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [6,8,7,1,5,3,2,4]=>[4,2,3,5,1,7,8,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [6,8,7,3,5,1,2,4]=>[4,2,1,5,3,7,8,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,1,3,6,5,2,4]=>[4,2,5,6,3,1,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,3,6,5,2,1,4]=>[4,1,2,5,6,3,8,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [4,7,2,8,6,1,5,3]=>[3,5,1,6,8,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [1,7,3,4,8,6,5,2]=>[2,5,6,8,4,3,7,1]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [4,2,7,1,8,6,5,3]=>[3,5,6,8,1,7,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [7,8,2,3,6,5,1,4]=>[4,1,5,6,3,2,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [8,5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5,8]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [6,8,2,7,1,3,5,4]=>[4,5,3,1,7,2,8,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [6,8,7,2,5,3,1,4]=>[4,1,3,5,2,7,8,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [6,2,4,8,7,1,5,3]=>[3,5,1,7,8,4,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,6,8,3,7,4,5,2]=>[2,5,4,7,3,8,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [1,6,8,3,4,7,5,2]=>[2,5,7,4,3,8,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,2,4,8,1,7,5,3]=>[3,5,7,1,8,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [6,8,7,2,3,5,1,4]=>[4,1,5,3,2,7,8,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [6,8,2,1,7,3,5,4]=>[4,5,3,7,1,2,8,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [8,5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [8,5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [5,8,4,2,7,1,6,3]=>[3,6,1,7,2,4,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [1,8,7,5,3,4,6,2]=>[2,6,4,3,5,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [1,8,7,3,5,4,6,2]=>[2,6,4,5,3,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [8,2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [5,8,4,7,2,1,6,3]=>[3,6,1,2,7,4,8,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [1,8,7,5,4,3,6,2]=>[2,6,3,4,5,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [1,6,8,4,3,7,5,2]=>[2,5,7,3,4,8,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,8,7,3,2,5,1,4]=>[4,1,5,2,3,7,8,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [6,8,1,7,3,2,5,4]=>[4,5,2,3,7,1,8,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [8,5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [5,8,4,7,1,2,6,3]=>[3,6,2,1,7,4,8,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [5,8,4,1,7,2,6,3]=>[3,6,2,7,1,4,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [8,1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [8,2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2,8]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>3 [4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [4,8,5,7,1,2,6,3]=>[3,6,2,1,7,5,8,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [4,8,5,1,7,2,6,3]=>[3,6,2,7,1,5,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [8,5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [6,8,1,3,7,2,5,4]=>[4,5,2,7,3,1,8,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [4,6,2,8,1,7,5,3]=>[3,5,7,1,8,2,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,6,4,8,3,7,5,2]=>[2,5,7,3,8,4,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [1,8,7,4,5,3,6,2]=>[2,6,3,5,4,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [4,8,5,7,2,1,6,3]=>[3,6,1,2,7,5,8,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [8,5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>5 [8,5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [4,8,5,2,7,1,6,3]=>[3,6,1,7,2,5,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [1,8,7,4,3,5,6,2]=>[2,6,5,3,4,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [1,8,7,3,4,5,6,2]=>[2,6,5,4,3,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [8,2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [6,3,1,5,4,2,8,7]=>[7,8,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>3 [6,5,4,2,1,3,8,7]=>[7,8,3,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,4,2,3,1,8,7]=>[7,8,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,2,5,1,4,8,7]=>[7,8,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,4,3,1,2,8,7]=>[7,8,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,4,1,3,2,8,7]=>[7,8,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7,8]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7,8]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>2 [8,5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [8,5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [8,3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [2,1,8,5,3,7,6,4]=>[4,6,7,3,5,8,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [8,3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7,8]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7,8]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [8,7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [2,1,8,7,6,4,3,5]=>[5,3,4,6,7,8,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [2,1,8,7,6,4,5,3]=>[3,5,4,6,7,8,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [8,3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3,8]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>1 [8,5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7,8]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [8,7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [8,7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3,8]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [8,3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3,8]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1,1]=>2 [8,3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [8,3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3,8]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [8,3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3,8]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [8,7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7,8]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7,8]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,1,8,5,4,7,3,6]=>[6,3,7,4,5,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3,8]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [8,7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7,8]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>2 [8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>2 [8,7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7,8]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3,8]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [2,1,8,7,6,3,5,4]=>[4,5,3,6,7,8,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [8,3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [8,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,8]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,5,6,2,1,8,7,3]=>[3,7,8,1,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [7,6,4,1,8,5,3,2]=>[2,3,5,8,1,4,6,7]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [2,5,3,1,7,8,6,4]=>[4,6,8,7,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,6,4,1,7,8,5,3]=>[3,5,8,7,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,6,5,1,7,8,4,3]=>[3,4,8,7,1,5,6,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [4,5,7,1,6,8,2,3]=>[3,2,8,6,1,7,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,5,1,2,8,4,3,7]=>[7,3,4,8,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,1,2,8,5,3,7]=>[7,3,5,8,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,1,2,8,6,4,7]=>[7,4,6,8,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,1,2,8,6,5,7]=>[7,5,6,8,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,1,2,5,8,3,4,7]=>[7,4,3,8,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,1,3,4,8,2,5,6]=>[6,5,2,8,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,5,6,8,2,3,4]=>[4,3,2,8,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,6,1,5,7,8,3,4]=>[4,3,8,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,4,1,6,8,5,2,3]=>[3,2,5,8,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,5,2,1,6,8,7,4]=>[4,7,8,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [1,6,2,5,7,3,4,8]=>[8,4,3,7,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,5,8,7,3,4]=>[4,3,7,8,5,1,2,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [7,3,1,5,8,6,2,4]=>[4,2,6,8,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,3,1,4,8,6,2,5]=>[5,2,6,8,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [6,2,1,4,8,7,3,5]=>[5,3,7,8,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,6,2,4,7,3,5,8]=>[8,5,3,7,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,3,8,7,4,6]=>[6,4,7,8,3,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [7,4,1,3,8,5,2,6]=>[6,2,5,8,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,5,1,3,8,4,2,6]=>[6,2,4,8,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,6,7,1,4,8,2,5]=>[5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,6,1,4,8,3,2,5]=>[5,2,3,8,4,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,2,1,3,8,7,5,6]=>[6,5,7,8,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,6,1,4,7,8,3,5]=>[5,3,8,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,1,4,6,8,2,3,5]=>[5,3,2,8,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,1,3,5,8,2,4,6]=>[6,4,2,8,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,1,2,4,8,3,5,7]=>[7,5,3,8,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,3,1,6,4,8,7]=>[7,8,4,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,4,5,2,3,1,8,6]=>[6,8,1,3,2,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>1 [7,3,5,2,4,1,8,6]=>[6,8,1,4,2,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,3,5,2,4,1,8,7]=>[7,8,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,4,1,6,3,8,7]=>[7,8,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,6,3,5,2,8,7]=>[7,8,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,4,1,5,2,8,7]=>[7,8,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,6,3,4,1,8,7]=>[7,8,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,7,3,4,1,8,6]=>[6,8,1,4,3,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,2,8,6,7,3,4,1]=>[1,4,3,7,6,8,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,2,8,5,7,3,4,1]=>[1,4,3,7,5,8,2,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,2,7,3,4,1,8,5]=>[5,8,1,4,3,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,4,1,5,2,8,6]=>[6,8,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,7,3,5,2,8,6]=>[6,8,2,5,3,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,7,4,5,3,8,6]=>[6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,8,6,7,4,5,2]=>[2,5,4,7,6,8,1,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [4,1,8,6,7,3,5,2]=>[2,5,3,7,6,8,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [8,6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6,8]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,3,2,1]=>2 [8,5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5,8]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>2 [8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,3,3,1]=>1 [8,4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4,8]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>2 [5,1,8,4,7,3,6,2]=>[2,6,3,7,4,8,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,1,8,5,7,3,6,2]=>[2,6,3,7,5,8,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [3,1,8,5,7,4,6,2]=>[2,6,4,7,5,8,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [2,1,8,5,7,4,6,3]=>[3,6,4,7,5,8,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,1,7,4,6,3,8,5]=>[5,8,3,6,4,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,7,4,6,2,8,5]=>[5,8,2,6,4,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,7,3,5,1,8,4]=>[4,8,1,5,3,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,8,4,7,3,5,1]=>[1,5,3,7,4,8,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [7,3,6,2,5,1,8,4]=>[4,8,1,5,2,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,5,1,7,3,8,4]=>[4,8,3,7,1,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,4,1,7,3,8,6]=>[6,8,3,7,1,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,2,4,1,7,3,8,5]=>[5,8,3,7,1,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>1 [7,4,6,2,3,1,8,5]=>[5,8,1,3,2,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,3,1,7,4,8,5]=>[5,8,4,7,1,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,2,3,1,7,4,8,6]=>[6,8,4,7,1,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,3,1,7,5,8,6]=>[6,8,5,7,1,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,2,8,6,7,5]=>[5,7,6,8,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,2,3,1,8,5,7,4]=>[4,7,5,8,1,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,4,8,5,6,2,3,1]=>[1,3,2,6,5,8,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [7,3,8,5,6,2,4,1]=>[1,4,2,6,5,8,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [8,5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,2,4,1,8,6,7,3]=>[3,7,6,8,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,1,5,2,8,6,7,3]=>[3,7,6,8,2,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [3,1,5,2,8,6,7,4]=>[4,7,6,8,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,1,6,3,8,5,7,4]=>[4,7,5,8,3,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,1,6,2,8,5,7,4]=>[4,7,5,8,2,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,1,6,2,8,5,7,3]=>[3,7,5,8,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,1,6,2,8,4,7,3]=>[3,7,4,8,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [8,4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,3,8,4,6,2,5,1]=>[1,5,2,6,4,8,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [6,2,7,3,8,4,5,1]=>[1,5,4,8,3,7,2,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [8,4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,1,8,4,6,2,7,3]=>[3,7,2,6,4,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,1,8,5,6,2,7,3]=>[3,7,2,6,5,8,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,1,8,5,6,2,7,4]=>[4,7,2,6,5,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,1,8,5,6,3,7,4]=>[4,7,3,6,5,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,1,7,4,8,5,6,3]=>[3,6,5,8,4,7,1,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,1,7,4,8,5,6,2]=>[2,6,5,8,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,1,7,3,8,5,6,2]=>[2,6,5,8,3,7,1,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [8,4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [7,3,6,2,8,4,5,1]=>[1,5,4,8,2,6,3,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,8,5,6,1,3,4,2]=>[2,4,3,1,6,5,8,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,8,1,3,6,2,5,4]=>[4,5,2,6,3,1,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [1,3,8,4,7,2,5,6]=>[6,5,2,7,4,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,2,5,7,3,8]=>[8,3,7,5,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,8,2,5,7,3,6]=>[6,3,7,5,2,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,8,1,5,4,6,3,2]=>[2,3,6,4,5,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,2]=>2 [7,8,2,1,6,3,4,5]=>[5,4,3,6,1,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,3,5,6,4,1,2]=>[2,1,4,6,5,3,8,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,8,1,4,2,3,6,5]=>[5,6,3,2,4,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,5,1,4,2,6,3]=>[3,6,2,4,1,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,8,4,5,3,1,6,2]=>[2,6,1,3,5,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [1,5,8,4,3,2,7,6]=>[6,7,2,3,4,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,4,6,8,3,7,5,2]=>[2,5,7,3,8,6,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [2,4,8,5,3,1,6,7]=>[7,6,1,3,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,5,8,1,4,7,6,3]=>[3,6,7,4,1,8,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [3,5,8,4,7,6,1,2]=>[2,1,6,7,4,8,5,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,6,2,4,7,3,8,5]=>[5,8,3,7,4,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,6,2,1,4,7,8,3]=>[3,8,7,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,2,5,3,1,8,7]=>[7,8,1,3,5,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,7,5,1,3,6,8,2]=>[2,8,6,3,1,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,6,1,4,8,2]=>[2,8,4,1,6,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,6,7,2,1,8,4]=>[4,8,1,2,7,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,7,5,2,4,8,3]=>[3,8,4,2,5,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,7,2,5,3,8,6]=>[6,8,3,5,2,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,6,7,8,3,5,1,2]=>[2,1,5,3,8,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [3,6,1,8,4,2,5,7]=>[7,5,2,4,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,7,5,8,2,4,3]=>[3,4,2,8,5,7,6,1]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,6,5,7,8,2,1,4]=>[4,1,2,8,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,7,6,8,1,3,4]=>[4,3,1,8,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,7,5,6,8,4,1,3]=>[3,1,4,8,6,5,7,2]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [2,1,6,8,4,5,3,7]=>[7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,6,8,5,4,1,2]=>[2,1,4,5,8,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [4,3,8,5,6,7,1,2]=>[2,1,7,6,5,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,2,8,1,6,3,7,5]=>[5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,1,8,5,4,6,7,2]=>[2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,2,8,4,5,6,1,7]=>[7,1,6,5,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,4,2,8,6,1,7,5]=>[5,7,1,6,8,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,7,3,8,5,2,6,4]=>[4,6,2,5,8,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [4,1,8,3,6,2,5,7]=>[7,5,2,6,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,7,8,6,3,2,1,4]=>[4,1,2,3,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [5,7,8,6,1,3,4,2]=>[2,4,3,1,6,8,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,6,5,8,1,3,4,2]=>[2,4,3,1,8,5,6,7]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,1,3,4,8,2,6,5]=>[5,6,2,8,4,3,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,6,5,4,1,2,7,8]=>[8,7,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,1,7,8,6,3]=>[3,6,8,7,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [2,6,3,4,5,8,1,7]=>[7,1,8,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,1,8,3,7,5]=>[5,7,3,8,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,3,6,4,8,5,1,2]=>[2,1,5,8,4,6,3,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,2,1,4,8,3,5,6]=>[6,5,3,8,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,6,5,3,8,4,2]=>[2,4,8,3,5,6,1,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,2,5,6,3,8,1,4]=>[4,1,8,3,6,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,2,7,1,8,4,3]=>[3,4,8,1,7,2,5,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,6,2,7,3,1,4,8]=>[8,4,1,3,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,7,4,2,8,1,3]=>[3,1,8,2,4,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,7,6,4,1,8,3,2]=>[2,3,8,1,4,6,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,7,5,2,4,8,3,6]=>[6,3,8,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,1,5,2,8,3,4,7]=>[7,4,3,8,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,7,5,3,8,4,1,2]=>[2,1,4,8,3,5,7,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,6,5,4,2,3,8,7]=>[7,8,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,1,5,3,4,2,8,6]=>[6,8,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,6,1,5,3,2,8,4]=>[4,8,2,3,5,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,6,4,1,2,8,3]=>[3,8,2,1,4,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,5,4,3,1,8,2]=>[2,8,1,3,4,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,2,4,3,1,6,8]=>[8,6,1,3,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,6,1,2,5,3,8]=>[8,3,5,2,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,1,4,2,5,7,3]=>[3,7,5,2,4,1,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,6,4,2,5,7,3,8]=>[8,3,7,5,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,7,5,4,2,8]=>[8,2,4,5,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,1,3,7,5,4,2]=>[2,4,5,7,3,1,8,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,2,1,2,1]=>2 [7,1,3,5,6,4,2,8]=>[8,2,4,6,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,1,6,4,5,2,8]=>[8,2,5,4,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,1,5,3,6,8]=>[8,6,3,5,1,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,5,4,1,6,8]=>[8,6,1,4,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,1,2,3,4,7,5]=>[5,7,4,3,2,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,5,7,2,3,8,6,4]=>[4,6,8,3,2,7,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [5,1,8,2,3,6,7,4]=>[4,7,6,3,2,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,8,2,3,7,6,4,1]=>[1,4,6,7,3,2,8,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,1,1]=>1 [6,2,8,1,3,7,4,5]=>[5,4,7,3,1,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,8,2,3,5,4,7,1]=>[1,7,4,5,3,2,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,8,2,4,1,5,7,3]=>[3,7,5,1,4,2,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,8,3,1,2,4,7,5]=>[5,7,4,2,1,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,6,4,1,5,7,3,8]=>[8,3,7,5,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,5,7,1,4,8]=>[8,4,1,7,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,7,8,3,6,4]=>[4,6,3,8,7,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,5,3,6,8,4,7,1]=>[1,7,4,8,6,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,1,4,7,8,5,6,3]=>[3,6,5,8,7,4,1,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,4,7,6,8,5,1,3]=>[3,1,5,8,6,7,4,2]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,5,3,7,6,1,8,4]=>[4,8,1,6,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,7,8,1,4,6,3]=>[3,6,4,1,8,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,5,7,4,1,6,2,8]=>[8,2,6,1,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,1,8,6,7,2]=>[2,7,6,8,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,2,8,4,6,1,7,3]=>[3,7,1,6,4,8,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,2,8,6,5,3,7,1]=>[1,7,3,5,6,8,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,2,8,5,7,6,3,1]=>[1,3,6,7,5,8,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,3,1,1]=>1 [1,4,2,7,5,8,6,3]=>[3,6,8,5,7,2,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,1,8,6,7,5,3,2]=>[2,3,5,7,6,8,1,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,2,2,1]=>2 [5,3,8,7,6,2,4,1]=>[1,4,2,6,7,8,3,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,3,2,1,1]=>1 [5,8,4,7,6,2,1,3]=>[3,1,2,6,7,4,8,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [6,4,8,3,1,7,2,5]=>[5,2,7,1,3,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [5,1,3,8,6,7,2,4]=>[4,2,7,6,8,3,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,5,3,7,8,6,2,4]=>[4,2,6,8,7,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,5,7,6,4,2,8,3]=>[3,8,2,4,6,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,8,7,4,1,6,2,3]=>[3,2,6,1,4,7,8,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [6,4,8,1,2,7,3,5]=>[5,3,7,2,1,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,8,5,1,2,3,7,4]=>[4,7,3,2,1,5,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,8,5,2,4,3,7,1]=>[1,7,3,4,2,5,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,8,5,3,1,2,7,4]=>[4,7,2,1,3,5,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,5,1,2,7,6,3,8]=>[8,3,6,7,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,2,6,8,7,3]=>[3,7,8,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [3,5,6,1,8,4,7,2]=>[2,7,4,8,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,5,7,1,2,8,6,4]=>[4,6,8,2,1,7,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,6,2,7,5,1,4,8]=>[8,4,1,5,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,1,2,7,5,8]=>[8,5,7,2,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,1,7,6,2,8]=>[8,2,6,7,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,7,8,1,6,4]=>[4,6,1,8,7,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,1,4,7,5,6,2,8]=>[8,2,6,5,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,5,8,7,1,2]=>[2,1,7,8,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,1,4,5,8,6,7,2]=>[2,7,6,8,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [3,5,6,2,8,4,7,1]=>[1,7,4,8,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,2,5,6,1,8,7,3]=>[3,7,8,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,5,3,1,6,8,7,2]=>[2,7,8,6,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [2,1,7,5,8,6,4,3]=>[3,4,6,8,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [1,2,7,5,3,8,6,4]=>[4,6,8,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,1,2,7,3,8,6,5]=>[5,6,8,3,7,2,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [6,4,1,7,5,2,3,8]=>[8,3,2,5,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,7,5,2,4,8]=>[8,4,2,5,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,6,8,5,4,7]=>[7,4,5,8,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,7,1,2,5,4,8,6]=>[6,8,4,5,2,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,7,2,4,8,6,5]=>[5,6,8,4,2,7,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,4,1,7,8,6,5,3]=>[3,5,6,8,7,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [3,4,7,5,1,8,6,2]=>[2,6,8,1,5,7,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [2,7,4,1,5,8,6,3]=>[3,6,8,5,1,4,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [2,3,7,1,5,8,6,4]=>[4,6,8,5,1,7,3,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [5,2,8,1,3,7,4,6]=>[6,4,7,3,1,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,1,6,8,3,4,7,5]=>[5,7,4,3,8,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,6,8,3,1,5,7,4]=>[4,7,5,1,3,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,8,6,4,1,5,7,3]=>[3,7,5,1,4,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,6,4,8,5,1,7,2]=>[2,7,1,5,8,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,3,7,4,5,1,8,2]=>[2,8,1,5,4,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,6,3,7,5,8,1,4]=>[4,1,8,5,7,3,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,2,1,7,8,3,4,6]=>[6,4,3,8,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,2,3,6,8,1,5]=>[5,1,8,6,3,2,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,2,7,3,6,8,1,4]=>[4,1,8,6,3,7,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,4,6,2,8,1,3]=>[3,1,8,2,6,4,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,7,3,4,6,1,8,2]=>[2,8,1,6,4,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,8,4,6,1,7,2]=>[2,7,1,6,4,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [8,5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,2,8,3,6,7,1,5]=>[5,1,7,6,3,8,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,4,8,1,7,3,5,6]=>[6,5,3,7,1,8,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,8,3,1,7,2,5,6]=>[6,5,2,7,1,3,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [5,2,8,4,7,1,6,3]=>[3,6,1,7,4,8,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [5,8,4,7,3,1,6,2]=>[2,6,1,3,7,4,8,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [4,6,8,3,1,7,5,2]=>[2,5,7,1,3,8,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,3,8,2,7,1,5,4]=>[4,5,1,7,2,8,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [6,3,1,8,2,4,7,5]=>[5,7,4,2,8,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,3,8,1,2,6,4,7]=>[7,4,6,2,1,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,7,4,1,6,2,3,8]=>[8,3,2,6,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,1,8,4,2,7,3,6]=>[6,3,7,2,4,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,6,2,8,5,3,7,4]=>[4,7,3,5,8,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,8,5,3,1,7,4,2]=>[2,4,7,1,3,5,8,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [8,4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,7,2,8,4,5]=>[5,4,8,2,7,3,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,2,7,8,5,1,4]=>[4,1,5,8,7,2,3,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,5,7,8,3,1,6,2]=>[2,6,1,3,8,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,7,2,5,8,1,6,3]=>[3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [8,1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,8,2,4,6,7,1,5]=>[5,1,7,6,4,2,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,5,6,8,2,7,1,4]=>[4,1,7,2,8,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,4,5,6,8,1,7,3]=>[3,7,1,8,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,8,3,5,6,1,7,2]=>[2,7,1,6,5,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,6,2,3,7,8,1,4]=>[4,1,8,7,3,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,8,7,3,4,1,2,6]=>[6,2,1,4,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [6,8,7,3,4,1,2,5]=>[5,2,1,4,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [6,8,4,7,1,5,3,2]=>[2,3,5,1,7,4,8,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>2 [6,8,4,7,2,5,3,1]=>[1,3,5,2,7,4,8,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>1 [5,4,8,7,2,6,3,1]=>[1,3,6,2,7,8,4,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>1 [5,4,8,7,1,6,3,2]=>[2,3,6,1,7,8,4,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>2 [5,3,8,7,6,1,2,4]=>[4,2,1,6,7,8,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,3,8,7,6,1,2,5]=>[5,2,1,6,7,8,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [4,8,3,7,5,1,2,6]=>[6,2,1,5,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,8,4,7,5,1,2,6]=>[6,2,1,5,7,4,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,4,8,7,6,1,2,5]=>[5,2,1,6,7,8,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,5,8,7,6,1,2,4]=>[4,2,1,6,7,8,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,5,8,7,6,1,2,3]=>[3,2,1,6,7,8,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [4,5,8,7,1,6,3,2]=>[2,3,6,1,7,8,5,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>2 [4,5,8,7,2,6,3,1]=>[1,3,6,2,7,8,5,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>1 [3,5,8,2,7,6,4,1]=>[1,4,6,7,2,8,5,3]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,2,1,1]=>1 [3,5,8,1,7,6,4,2]=>[2,4,6,7,1,8,5,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,2,2,1,1]=>2 [2,5,8,1,7,6,4,3]=>[3,4,6,7,1,8,5,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,1,2,1,1]=>3 [2,5,8,7,1,6,3,4]=>[4,3,6,1,7,8,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [2,4,8,7,1,6,3,5]=>[5,3,6,1,7,8,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [2,8,4,7,1,5,3,6]=>[6,3,5,1,7,4,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,8,4,7,2,5,3,6]=>[6,3,5,2,7,4,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [1,4,8,7,2,6,3,5]=>[5,3,6,2,7,8,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [1,5,8,7,2,6,3,4]=>[4,3,6,2,7,8,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [1,5,8,2,7,6,4,3]=>[3,4,6,7,2,8,5,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,1,2,1,1]=>3 [2,5,8,3,7,6,4,1]=>[1,4,6,7,3,8,5,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,2,1,1]=>1 [1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>3 [1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,8,3,2,7,5,4,6]=>[6,4,5,7,2,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,8,3,1,7,5,4,6]=>[6,4,5,7,1,3,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [2,3,8,1,7,6,4,5]=>[5,4,6,7,1,8,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,4,1,8,7,6,5,2]=>[2,5,6,7,8,1,4,3]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1]=>2 [4,3,1,8,7,6,5,2]=>[2,5,6,7,8,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1]=>2 [4,2,1,8,7,6,5,3]=>[3,5,6,7,8,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>3 [3,8,2,1,7,5,4,6]=>[6,4,5,7,1,2,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,2,8,7,1,6,3,5]=>[5,3,6,1,7,8,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [5,2,8,7,1,6,3,4]=>[4,3,6,1,7,8,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [5,2,8,1,7,6,4,3]=>[3,4,6,7,1,8,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,1,2,1,1]=>3 [5,3,8,1,7,6,4,2]=>[2,4,6,7,1,8,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,2,2,1,1]=>2 [5,3,8,2,7,6,4,1]=>[1,4,6,7,2,8,3,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,2,1,1]=>1 [6,8,3,2,7,5,4,1]=>[1,4,5,7,2,3,8,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,1,2,1]=>1 [6,8,3,1,7,5,4,2]=>[2,4,5,7,1,3,8,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,2,1,2,1]=>2 [6,8,2,1,7,5,4,3]=>[3,4,5,7,1,2,8,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,1,2,1]=>3 [6,8,2,7,1,5,3,4]=>[4,3,5,1,7,2,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [6,8,7,2,1,4,3,5]=>[5,3,4,1,2,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [8,5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,8,7,1,2,4,3,6]=>[6,3,4,2,1,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [6,8,1,2,7,5,4,3]=>[3,4,5,7,2,1,8,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,1,2,1]=>3 [6,8,2,3,7,5,4,1]=>[1,4,5,7,3,2,8,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,1,2,1]=>1 [5,2,8,3,7,6,4,1]=>[1,4,6,7,3,8,2,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,2,1,1]=>1 [5,1,8,3,7,6,4,2]=>[2,4,6,7,3,8,1,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,2,2,1,1]=>2 [5,1,8,7,2,6,3,4]=>[4,3,6,2,7,8,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,1,8,7,2,6,3,5]=>[5,3,6,2,7,8,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [4,8,1,7,2,5,3,6]=>[6,3,5,2,7,1,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,8,1,2,7,5,4,6]=>[6,4,5,7,2,1,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,1,8,2,7,6,4,5]=>[5,4,6,7,2,8,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1]=>4 [4,1,3,8,7,6,5,2]=>[2,5,6,7,8,3,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1]=>2 [3,1,4,8,7,6,5,2]=>[2,5,6,7,8,4,1,3]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1]=>2 [2,1,8,3,7,6,4,5]=>[5,4,6,7,3,8,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,8,1,3,7,5,4,6]=>[6,4,5,7,3,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,8,2,3,7,5,4,6]=>[6,4,5,7,3,2,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,4,3,6,8,2,5,7]=>[7,5,2,8,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,6,2,5,8,4,7]=>[7,4,8,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,5,1,8,2,4,7,6]=>[6,7,4,2,8,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,4,2,6,5,8,3,7]=>[7,3,8,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,4,2,6,8,3,7]=>[7,3,8,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,6,5,8,2,4,7]=>[7,4,2,8,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,4,2,5,8,3,7]=>[7,3,8,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,6,4,8,3,7]=>[7,3,8,4,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,6,5,4,8,3,7]=>[7,3,8,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,5,4,7,3,8,6]=>[6,8,3,7,4,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,6,3,8,7,5]=>[5,7,8,3,6,2,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,1,5,4,2,8,3,6]=>[6,3,8,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,7,5,2,8,3,6]=>[6,3,8,2,5,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,1,3,5,2,8,4,6]=>[6,4,8,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,2,5,1,8,3,4,6]=>[6,4,3,8,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,4,5,2,8,7,3,6]=>[6,3,7,8,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,4,2,8,3,7,6,5]=>[5,6,7,3,8,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,2,5,3,8,7,6,4]=>[4,6,7,8,3,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [1,2,8,6,5,3,7,4]=>[4,7,3,5,6,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,5,2,8,6,3,7,4]=>[4,7,3,6,8,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,6,4,2,8,7,3,5]=>[5,3,7,8,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,2,1,8,7,3,4,5]=>[5,4,3,7,8,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [7,6,2,1,8,3,4,5]=>[5,4,3,8,1,2,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,3,1,6,2,8,4,5]=>[5,4,8,2,6,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,6,4,2,8,3,5]=>[5,3,8,2,4,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,5,2,6,3,8,4]=>[4,8,3,6,2,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,2,7,5,3,8,4]=>[4,8,3,5,7,2,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,7,6,5,3,8,4]=>[4,8,3,5,6,7,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,6,5,3,8,7,4]=>[4,7,8,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [1,5,2,6,3,8,7,4]=>[4,7,8,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [1,5,2,7,6,3,8,4]=>[4,8,3,6,7,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,5,2,7,3,8,4]=>[4,8,3,7,2,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,7,4,2,8,3,6]=>[6,3,8,2,4,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,2,8,6,3,7,5]=>[5,7,3,6,8,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,1,8,6,2,4,7,5]=>[5,7,4,2,6,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,3,7,1,8,2,5,6]=>[6,5,2,8,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,1,8,3,2,4,6,5]=>[5,6,4,2,3,8,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,8,7,3,2,4,6,5]=>[5,6,4,2,3,7,8,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [1,4,2,8,7,3,6,5]=>[5,6,3,7,8,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,7,4,2,8,3,6,5]=>[5,6,3,8,2,4,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [1,4,8,5,2,7,3,6]=>[6,3,7,2,5,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [1,8,6,4,2,7,3,5]=>[5,3,7,2,4,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,5,2,6,3,7,4]=>[4,7,3,6,2,5,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,5,2,7,3,8,6,4]=>[4,6,8,3,7,2,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,2,8,5,3,7,6,4]=>[4,6,7,3,5,8,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [1,2,6,3,8,7,5,4]=>[4,5,7,8,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [1,2,7,6,3,8,5,4]=>[4,5,8,3,6,7,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,6,2,7,3,8,5,4]=>[4,5,8,3,7,2,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,7,2,8,5,3,6,4]=>[4,6,3,5,8,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,7,4,2,8,6,3,5]=>[5,3,6,8,2,4,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,1,8,3,2,6,4,5]=>[5,4,6,2,3,8,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,2,1,8,6,3,4,5]=>[5,4,3,6,8,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,8,7,3,2,6,4,5]=>[5,4,6,2,3,7,8,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [1,4,2,8,7,6,3,5]=>[5,3,6,7,8,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,2,8,7,5,3,6,4]=>[4,6,3,5,7,8,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [1,2,8,6,3,7,5,4]=>[4,5,7,3,6,8,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [1,2,7,3,8,6,5,4]=>[4,5,6,8,3,7,2,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [4,1,7,3,6,5,8,2]=>[2,8,5,6,3,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,8,7,6,2,4,3]=>[3,4,2,6,7,8,1,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [8,1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1,8]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [5,7,8,6,2,4,1,3]=>[3,1,4,2,6,8,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [5,7,1,6,2,4,3,8]=>[8,3,4,2,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,5,2,7,3,8]=>[8,3,7,2,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [6,1,4,5,3,8,7,2]=>[2,7,8,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,1,4,5,3,7,8,2]=>[2,8,7,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,7,8,6,2,4,3]=>[3,4,2,6,8,7,1,5]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [6,1,4,8,3,5,7,2]=>[2,7,5,3,8,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,1,8,6,3,4,5,2]=>[2,5,4,3,6,8,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [7,1,4,5,3,8,6,2]=>[2,6,8,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,1,4,5,3,6,8,2]=>[2,8,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,4,1,5,2,6,3,8]=>[8,3,6,2,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,7,2,1,4,8]=>[8,4,1,2,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,8,2,1,7,4]=>[4,7,1,2,8,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,3,5,7,2,1,8,4]=>[4,8,1,2,7,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4,8]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [6,4,5,8,3,7,2,1]=>[1,2,7,3,8,5,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [5,8,7,6,2,4,1,3]=>[3,1,4,2,6,7,8,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [5,4,8,6,3,1,7,2]=>[2,7,1,3,6,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,4,1,8,2,3,7,6]=>[6,7,3,2,8,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,1,6,2,4,3,7]=>[7,3,4,2,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,3,5,8,2,1,4,7]=>[7,4,1,2,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,4,1,8,6,5,7]=>[7,5,6,8,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,3,8,5,1,4,7,6]=>[6,7,4,1,5,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,3,8,6,1,5,7,4]=>[4,7,5,1,6,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,8,6,7,1,3,5,4]=>[4,5,3,1,7,6,8,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [8,3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [2,3,8,5,6,1,7,4]=>[4,7,1,6,5,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,4,5,6,3,1,8,2]=>[2,8,1,3,6,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,3,5,6,2,8,1,4]=>[4,1,8,2,6,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,3,5,8,2,1,6,4]=>[4,6,1,2,8,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,3,5,6,2,1,4,8]=>[8,4,1,2,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,6,5,1,3,4,8]=>[8,4,3,1,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,6,8,1,3,5,4]=>[4,5,3,1,8,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,7,6,5,8,3,1,4]=>[4,1,3,8,5,6,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [8,7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7,8]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>3 [2,6,4,1,8,5,7,3]=>[3,7,5,8,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,6,1,3,8,5,7,4]=>[4,7,5,8,3,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,7,1,3,6,5,8,4]=>[4,8,5,6,3,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,6,8,4,3,1,5]=>[5,1,3,4,8,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [2,7,6,1,8,3,4,5]=>[5,4,3,8,1,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,7,6,1,4,3,5,8]=>[8,5,3,4,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,1,2,8,4,6]=>[6,4,8,2,1,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,8,1,6,3,4,2,5]=>[5,2,4,3,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [6,4,1,8,3,2,7,5]=>[5,7,2,3,8,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,3,8,6,4,1,7,5]=>[5,7,1,4,6,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,8,6,7,4,3,1,5]=>[5,1,3,4,7,6,8,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [8,3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [2,3,4,1,8,7,5,6]=>[6,5,7,8,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,8,6,1,7,3,4,5]=>[5,4,3,7,1,6,8,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [2,3,8,1,6,4,7,5]=>[5,7,4,6,1,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,3,8,1,4,5,7,6]=>[6,7,5,4,1,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,8,6,1,4,3,5,7]=>[7,5,3,4,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,2,3,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[10,1]=>10 [9,1,2,3,4,5,6,7,10,8]=>[8,10,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [1,8,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [7,1,2,3,4,5,6,9,8]=>[8,9,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,1,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [2,8,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,10,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,10,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [8,4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [1,7,6,5,4,2,3,8]=>[8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,5,2,7,3,4]=>[4,3,7,2,5,6,8,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7,8]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>2 [7,8,5,4,1,3,6,2]=>[2,6,3,1,4,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [6,8,5,4,2,1,7,3]=>[3,7,1,2,4,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,8,6,2,4,1,7,3]=>[3,7,1,4,2,6,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,8,2,6,5,1,7,3]=>[3,7,1,5,6,2,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,2,8,6,5,1,7,4]=>[4,7,1,5,6,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,2,1,7,6,4,5,8]=>[8,5,4,6,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,3,7,6,2,5,8]=>[8,5,2,6,7,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,7,3,6,2,4,8]=>[8,4,2,6,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,5,3,2,4,8]=>[8,4,2,3,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,6,5,2,4,3,8]=>[8,3,4,2,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [1,2,7,6,3,4,5,8]=>[8,5,4,3,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [7,1,8,2,6,4,3,5]=>[5,3,4,6,2,8,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [6,1,8,2,4,7,3,5]=>[5,3,7,4,2,8,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,1,8,3,2,7,4,6]=>[6,4,7,2,3,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,1,3,8,2,7,5,6]=>[6,5,7,2,8,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,2,1,8,4,7,5,6]=>[6,5,7,4,8,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,2,8,7,1,6,5,4]=>[4,5,6,1,7,8,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [4,8,2,7,1,6,5,3]=>[3,5,6,1,7,2,8,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [5,8,7,2,1,6,4,3]=>[3,4,6,1,2,7,8,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [6,8,7,1,3,5,4,2]=>[2,4,5,3,1,7,8,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>2 [7,8,6,1,5,3,4,2]=>[2,4,3,5,1,6,8,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>2 [8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>2 [1,8,7,2,6,5,3,4]=>[4,3,5,6,2,7,8,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [1,7,8,2,5,6,3,4]=>[4,3,6,5,2,8,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6,8]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>2 [7,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [6,5,8,3,2,1,7,4]=>[4,7,1,2,3,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,5,8,3,1,4,6,2]=>[2,6,4,1,3,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [8,5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5,8]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [1,6,8,4,2,7,3,5]=>[5,3,7,2,4,8,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,5,4,8,2,7,3,6]=>[6,3,7,2,8,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4,8]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [7,4,3,8,1,5,6,2]=>[2,6,5,1,8,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [6,4,3,1,5,2,7,8]=>[8,7,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [1,5,4,2,3,6,7,8]=>[8,7,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,5,1,4,2,6,3,8]=>[8,3,6,2,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,4,3,2,7,8]=>[8,7,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,3,4,2,7,8]=>[8,7,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,1,5,3,7,8]=>[8,7,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,1,5,4,7,8]=>[8,7,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,1,4,6,5,8]=>[8,5,6,4,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,2,1,3,6,5,8]=>[8,5,6,3,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,3,2,6,4,8]=>[8,4,6,2,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,2,4,5,3,8]=>[8,3,5,4,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,2,5,4,3,8]=>[8,3,4,5,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [1,7,2,3,6,4,5,8]=>[8,5,4,6,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7,8]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,8,1,2,3,5,6,4]=>[4,6,5,3,2,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,8,1,2,4,3,7,5]=>[5,7,3,4,2,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,8,1,3,2,4,7,6]=>[6,7,4,2,3,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,2,1,3,5,7,6]=>[6,7,5,3,1,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,2,8,1,4,5,7,6]=>[6,7,5,4,1,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,4,3,6,7,8]=>[8,7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,3,5,4,7,8]=>[8,7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,3,4,6,5,8]=>[8,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,4,5,1,8,3,2]=>[2,3,8,1,5,4,7,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,4,7,6,8,1,2,3]=>[3,2,1,8,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,3,7,8,6,1,2,4]=>[4,2,1,6,8,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,8,4,5,7,1,2,6]=>[6,2,1,7,5,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,4,8,6,7,1,2,5]=>[5,2,1,7,6,8,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [4,5,6,7,1,8,3,2]=>[2,3,8,1,7,6,5,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [3,5,6,2,7,4,8,1]=>[1,8,4,7,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,6,1,7,8,4,2]=>[2,4,8,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [2,5,6,1,8,7,4,3]=>[3,4,7,8,1,6,5,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [8,2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,4,8,6,2,3,7,5]=>[5,7,3,2,6,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,5,6,2,8,4,7,3]=>[3,7,4,8,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,5,6,3,4,7,8,1]=>[1,8,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,4,2,6,8,5,7,3]=>[3,7,5,8,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [8,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,8,3,1,5,7,4,6]=>[6,4,7,5,1,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,4,1,6,8,7,5,3]=>[3,5,7,8,6,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [3,4,1,6,7,8,5,2]=>[2,5,8,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,3,1,7,6,8,5,2]=>[2,5,8,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,3,7,2,6,4,8,1]=>[1,8,4,6,2,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,3,1,5,8,4,2]=>[2,4,8,5,1,3,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,7,2,1,8,5,4,3]=>[3,4,5,8,1,2,7,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [6,7,2,8,1,5,3,4]=>[4,3,5,1,8,2,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,8,2,1,4,3,5]=>[5,3,4,1,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,1,2,8,4,5,3]=>[3,5,4,8,2,1,7,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [6,7,1,3,4,8,5,2]=>[2,5,8,4,3,1,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,2,7,3,4,6,8,1]=>[1,8,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,1,7,3,4,8,6,2]=>[2,6,8,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [5,1,7,8,2,3,6,4]=>[4,6,3,2,8,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [4,1,8,7,2,3,6,5]=>[5,6,3,2,7,8,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,8,1,2,7,4,5,6]=>[6,5,4,7,2,1,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [4,1,3,7,5,8,6,2]=>[2,6,8,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,1,4,5,7,8,6,2]=>[2,6,8,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [2,1,8,3,4,7,6,5]=>[5,6,7,4,3,8,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [8,2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,8,2,3,4,5,7,6]=>[6,7,5,4,3,2,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,2,8,3,4,6,7,5]=>[5,7,6,4,3,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,2,1,6,5,8,7,3]=>[3,7,8,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,2,6,4,1,8,7,3]=>[3,7,8,1,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,2,7,4,8,1,6,3]=>[3,6,1,8,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,2,7,4,8,6,1,3]=>[3,1,6,8,4,7,2,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,7,2,3,8,6,1,4]=>[4,1,6,8,3,2,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,7,2,3,8,1,6,4]=>[4,6,1,8,3,2,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,6,2,3,1,8,7,4]=>[4,7,8,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,6,2,1,3,8,7,4]=>[4,7,8,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,1,6,4,2,8,7,3]=>[3,7,8,2,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,6,1,3,2,8,7,4]=>[4,7,8,2,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,6,3,1,2,8,7,4]=>[4,7,8,2,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,6,3,2,1,8,7,4]=>[4,7,8,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,7,3,2,8,1,6,4]=>[4,6,1,8,2,3,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,7,3,2,8,6,1,4]=>[4,1,6,8,2,3,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,7,3,8,2,1,5,4]=>[4,5,1,2,8,3,7,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,3,8,1,2,5,4]=>[4,5,2,1,8,3,7,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,7,3,1,8,2,6,4]=>[4,6,2,8,1,3,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,7,1,3,8,2,6,4]=>[4,6,2,8,3,1,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,1,7,4,8,2,6,3]=>[3,6,2,8,4,7,1,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,5,7,4,8,3,6,2]=>[2,6,3,8,4,7,5,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,5,7,4,8,6,3,2]=>[2,3,6,8,4,7,5,1]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [5,1,7,4,8,6,2,3]=>[3,2,6,8,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,7,1,3,8,6,2,4]=>[4,2,6,8,3,1,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,7,3,8,1,5,2,4]=>[4,2,5,1,8,3,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,3,8,5,2,1,4]=>[4,1,2,5,8,3,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,8,3,1,4,2,5]=>[5,2,4,1,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,1,8,3,5,2,4]=>[4,2,5,3,8,1,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,1,7,8,4,5,2,3]=>[3,2,5,4,8,7,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [1,6,7,8,4,5,3,2]=>[2,3,5,4,8,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [1,6,7,8,4,3,5,2]=>[2,5,3,4,8,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [6,1,7,8,4,2,5,3]=>[3,5,2,4,8,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,7,1,8,3,2,5,4]=>[4,5,2,3,8,1,7,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,7,2,1,8,3,6,4]=>[4,6,3,8,1,2,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,7,2,8,1,3,5,4]=>[4,5,3,1,8,2,7,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,2,8,3,1,5,4]=>[4,5,1,3,8,2,7,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,2,8,3,5,1,4]=>[4,1,5,3,8,2,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,2,7,8,4,5,1,3]=>[3,1,5,4,8,7,2,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,2,7,8,4,1,5,3]=>[3,5,1,4,8,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,2,7,8,1,4,5,3]=>[3,5,4,1,8,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [5,2,7,1,8,4,6,3]=>[3,6,4,8,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,2,1,7,8,5,6,3]=>[3,6,5,8,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,1,2,7,8,6,5,3]=>[3,5,6,8,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [6,2,7,8,1,5,4,3]=>[3,4,5,1,8,7,2,6]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [6,2,7,8,5,1,4,3]=>[3,4,1,5,8,7,2,6]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [6,2,7,8,5,4,1,3]=>[3,1,4,5,8,7,2,6]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [6,7,2,8,5,3,1,4]=>[4,1,3,5,8,2,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,7,2,1,8,6,3,4]=>[4,3,6,8,1,2,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,7,1,2,8,6,3,4]=>[4,3,6,8,2,1,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,1,7,2,8,6,4,3]=>[3,4,6,8,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [1,5,7,3,8,6,4,2]=>[2,4,6,8,3,7,5,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [1,6,7,8,3,5,4,2]=>[2,4,5,3,8,7,6,1]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [6,1,7,8,2,5,4,3]=>[3,4,5,2,8,7,1,6]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [6,7,1,8,2,5,3,4]=>[4,3,5,2,8,1,7,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,8,2,4,1,3,5]=>[5,3,1,4,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,8,2,4,3,1,5]=>[5,1,3,4,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,7,1,8,5,2,3,4]=>[4,3,2,5,8,1,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,1,7,8,5,2,4,3]=>[3,4,2,5,8,7,1,6]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [1,6,7,8,5,3,4,2]=>[2,4,3,5,8,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [6,1,7,8,5,4,2,3]=>[3,2,4,5,8,7,1,6]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [6,7,1,8,5,3,2,4]=>[4,2,3,5,8,1,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,8,4,1,3,2,5]=>[5,2,3,1,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [6,3,8,5,2,7,4,1]=>[1,4,7,2,5,8,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,5,2,8,4,7,3,1]=>[1,3,7,4,8,2,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [6,3,4,5,8,7,2,1]=>[1,2,7,8,5,4,3,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [5,6,1,4,8,7,3,2]=>[2,3,7,8,4,1,6,5]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [3,6,4,8,5,7,1,2]=>[2,1,7,5,8,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,4,7,1,8,6,5,2]=>[2,5,6,8,1,7,4,3]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [3,6,8,7,1,4,2,5]=>[5,2,4,1,7,8,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [5,3,7,1,6,8,2,4]=>[4,2,8,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,3,8,5,6,7,2,1]=>[1,2,7,6,5,8,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [3,6,4,2,8,7,5,1]=>[1,5,7,8,2,4,6,3]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [6,3,7,5,2,8,1,4]=>[4,1,8,2,5,7,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,2,7,4,8,1,3]=>[3,1,8,4,7,2,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,7,1,4,8,3,2,6]=>[6,2,3,8,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,8,3,5,1,4,6,2]=>[2,6,4,1,5,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [5,8,1,4,6,7,2,3]=>[3,2,7,6,4,1,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,5,8,4,3,7,2,1]=>[1,2,7,3,4,8,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [6,3,7,4,2,8,5,1]=>[1,5,8,2,4,7,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7,8]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [3,8,6,7,1,4,5,2]=>[2,5,4,1,7,6,8,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [5,3,8,7,4,1,2,6]=>[6,2,1,4,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,3,8,7,1,5,6,2]=>[2,6,5,1,7,8,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [8,3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,6,1,8,7,3,2,4]=>[4,2,3,7,8,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [5,4,2,7,3,6,8,1]=>[1,8,6,3,7,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,3,6,4,2,8,1]=>[1,8,2,4,6,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,1,5,3,8,2,7]=>[7,2,8,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [7,2,6,3,5,4,8,1]=>[1,8,4,5,3,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,7,4,3,5,8,1]=>[1,8,5,3,4,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,3,6,4,2,8,1]=>[1,8,2,4,6,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,7,6,4,5,2,8,1]=>[1,8,2,5,4,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,7,6,5,3,4,8,1]=>[1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,4,3,1,8,2,7]=>[7,2,8,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [7,5,4,1,8,3,2,6]=>[6,2,3,8,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,6,5,2,8,3,4,7]=>[7,4,3,8,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,7,4,2,1,8,3,6]=>[6,3,8,1,2,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,6,5,3,4,8,2,7]=>[7,2,8,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,3,1,8,2,7]=>[7,2,8,1,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,8,4,2,7,3,1]=>[1,3,7,2,4,8,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [5,8,2,6,4,7,3,1]=>[1,3,7,4,6,2,8,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [3,8,6,2,5,7,4,1]=>[1,4,7,5,2,6,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [7,8,5,3,2,6,4,1]=>[1,4,6,2,3,5,8,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,3,2,2]=>1 [6,8,3,1,7,2,5,4]=>[4,5,2,7,1,3,8,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [8,7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7,8]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,1,2,1,1]=>1 [8,7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7,8]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [7,8,1,6,3,2,5,4]=>[4,5,2,3,6,1,8,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [2,8,1,7,3,5,6,4]=>[4,6,5,3,7,1,8,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [3,8,6,1,7,4,5,2]=>[2,5,4,7,1,6,8,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [4,8,1,3,7,2,6,5]=>[5,6,2,7,3,1,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,2,8,5,7,3,6,1]=>[1,6,3,7,5,8,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [5,1,7,6,8,3,2,4]=>[4,2,3,8,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,7,1,5,8,4,2,6]=>[6,2,4,8,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,7,3,1,8,4,2,5]=>[5,2,4,8,1,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,7,3,8,4,5,2,6]=>[6,2,5,4,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,7,2,8,5,3,4,6]=>[6,4,3,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,6,1,8,4,3,2,5]=>[5,2,3,4,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [8,6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [8,1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [7,1,2,8,3,5,4,6]=>[6,4,5,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,6,1,8,4,3,5]=>[5,3,4,8,1,6,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [7,3,1,5,8,4,2,6]=>[6,2,4,8,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,2,1,5,8,3,6,7]=>[7,6,3,8,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,2,7,1,8,3,6]=>[6,3,8,1,7,2,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,4,3,1,6,8,2,7]=>[7,2,8,6,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,7,5,6,8,3,2,1]=>[1,2,3,8,6,5,7,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [6,5,4,8,2,7,3,1]=>[1,3,7,2,8,4,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [6,5,2,8,7,3,4,1]=>[1,4,3,7,8,2,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [6,5,1,8,7,4,2,3]=>[3,2,4,7,8,1,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [8,6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6,8]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,2,2,1]=>1 [5,1,8,3,7,6,2,4]=>[4,2,6,7,3,8,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,4,8,1,7,2,6,3]=>[3,6,2,7,1,8,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [7,5,8,3,2,6,4,1]=>[1,4,6,2,3,8,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [3,6,8,2,4,7,5,1]=>[1,5,7,4,2,8,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [5,7,3,8,2,6,4,1]=>[1,4,6,2,8,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [5,4,6,8,2,7,3,1]=>[1,3,7,2,8,6,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [5,2,6,8,7,3,4,1]=>[1,4,3,7,8,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [4,7,2,8,6,3,5,1]=>[1,5,3,6,8,2,7,4]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [3,6,8,1,7,2,5,4]=>[4,5,2,7,1,8,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [2,3,8,7,4,5,6,1]=>[1,6,5,4,7,8,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [7,2,8,6,4,3,5,1]=>[1,5,3,4,6,8,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [2,1,8,7,5,6,3,4]=>[4,3,6,5,7,8,1,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [8,2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2,8]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>1 [8,1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1,8]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>3 [7,1,8,6,5,3,2,4]=>[4,2,3,5,6,8,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [1,2,8,7,6,3,4,5]=>[5,4,3,6,7,8,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [1,3,8,7,4,6,2,5]=>[5,2,6,4,7,8,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [1,5,8,3,7,6,2,4]=>[4,2,6,7,3,8,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,1,6,8,7,4,2,3]=>[3,2,4,7,8,6,1,5]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [6,8,4,7,5,3,2,1]=>[1,2,3,5,7,4,8,6]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,2,2,1]=>1 [6,8,7,2,5,4,3,1]=>[1,3,4,5,2,7,8,6]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,1,1,2,1]=>1 [3,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,3,1,1,1]=>1 [2,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>1 [1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>3 [5,8,6,7,3,4,1,2]=>[2,1,4,3,7,6,8,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,2,3,1]=>2 [4,8,6,7,3,5,1,2]=>[2,1,5,3,7,6,8,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [2,8,6,7,4,5,1,3]=>[3,1,5,4,7,6,8,2]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [1,8,5,7,4,6,2,3]=>[3,2,6,4,7,5,8,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [3,8,5,7,4,6,1,2]=>[2,1,6,4,7,5,8,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [4,8,5,7,3,6,1,2]=>[2,1,6,3,7,5,8,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>2 [6,8,3,7,4,5,1,2]=>[2,1,5,4,7,3,8,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [5,8,3,7,4,6,1,2]=>[2,1,6,4,7,3,8,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [3,7,4,8,5,6,1,2]=>[2,1,6,5,8,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,7,3,8,5,6,1,2]=>[2,1,6,5,8,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,7,2,8,5,6,1,3]=>[3,1,6,5,8,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,7,1,8,5,6,2,3]=>[3,2,6,5,8,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,7,2,8,5,6,1,4]=>[4,1,6,5,8,2,7,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,7,3,8,5,6,1,4]=>[4,1,6,5,8,3,7,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,7,4,8,5,6,1,3]=>[3,1,6,5,8,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,8,2,7,4,6,1,3]=>[3,1,6,4,7,2,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [6,8,2,7,4,5,1,3]=>[3,1,5,4,7,2,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [7,8,2,6,4,5,1,3]=>[3,1,5,4,6,2,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>3 [7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>3 [6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [1,7,4,8,5,6,2,3]=>[3,2,6,5,8,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,8,5,6,1,7,3,4]=>[4,3,7,1,6,5,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,8,5,6,2,7,3,4]=>[4,3,7,2,6,5,8,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,7,3,8,4,6,2,5]=>[5,2,6,4,8,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [6,8,1,7,3,5,2,4]=>[4,2,5,3,7,1,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [7,8,2,6,3,5,1,4]=>[4,1,5,3,6,2,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [5,8,2,7,3,6,1,4]=>[4,1,6,3,7,2,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [4,8,2,7,3,6,1,5]=>[5,1,6,3,7,2,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,7,3,8,4,6,1,5]=>[5,1,6,4,8,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,7,2,8,4,6,1,5]=>[5,1,6,4,8,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,7,1,8,4,6,2,5]=>[5,2,6,4,8,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,4,7,3,6,1,5]=>[5,1,6,3,7,4,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [3,8,4,7,2,6,1,5]=>[5,1,6,2,7,4,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,5,7,2,6,1,3]=>[3,1,6,2,7,5,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [1,8,5,7,3,6,2,4]=>[4,2,6,3,7,5,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [2,8,6,7,3,5,1,4]=>[4,1,5,3,7,6,8,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [4,8,6,7,2,5,1,3]=>[3,1,5,2,7,6,8,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [5,8,6,7,2,4,1,3]=>[3,1,4,2,7,6,8,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [6,8,5,7,1,4,2,3]=>[3,2,4,1,7,5,8,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [4,8,6,7,1,5,2,3]=>[3,2,5,1,7,6,8,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [3,8,6,7,1,5,2,4]=>[4,2,5,1,7,6,8,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [1,5,2,8,6,7,3,4]=>[4,3,7,6,8,2,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,5,1,8,6,7,3,4]=>[4,3,7,6,8,1,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,1,8,5,7,3,4]=>[4,3,7,5,8,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,6,2,8,5,7,3,4]=>[4,3,7,5,8,2,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [7,8,4,6,1,5,2,3]=>[3,2,5,1,6,4,8,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>3 [7,8,3,6,1,5,2,4]=>[4,2,5,1,6,3,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [6,8,3,7,1,5,2,4]=>[4,2,5,1,7,3,8,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [4,8,3,7,1,6,2,5]=>[5,2,6,1,7,3,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [3,8,4,7,1,6,2,5]=>[5,2,6,1,7,4,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [1,6,2,8,4,7,3,5]=>[5,3,7,4,8,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,6,1,8,4,7,3,5]=>[5,3,7,4,8,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,7,2,6,1,8,4,5]=>[5,4,8,1,6,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,7,1,6,2,8,4,5]=>[5,4,8,2,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,8,1,6,2,7,3,5]=>[5,3,7,2,6,1,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,8,1,6,2,7,3,4]=>[4,3,7,2,6,1,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,8,1,5,2,6,3,4]=>[4,3,6,2,5,1,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,2,5,1,6,3,4]=>[4,3,6,1,5,2,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,8,2,5,1,7,3,4]=>[4,3,7,1,5,2,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,8,2,6,1,7,3,4]=>[4,3,7,1,6,2,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,8,2,6,1,7,3,5]=>[5,3,7,1,6,2,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,7,3,6,2,8,4,5]=>[5,4,8,2,6,3,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,3,6,1,8,4,5]=>[5,4,8,1,6,3,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,4,5,6,8,9,7]=>[7,9,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [1,2,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [1,2,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>5 [1,2,3,5,6,7,8,9,4]=>[4,9,8,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,5]=>4 [1,2,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1]=>7 [1,2,3,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [1,2,3,4,5,8,7,9,6]=>[6,9,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [1,2,3,4,5,6,8,9,10,7]=>[7,10,9,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,3]=>7 [1,2,3,4,7,6,8,9,5]=>[5,9,8,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>5 [1,2,3,4,5,7,8,9,10,6]=>[6,10,9,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,4]=>6 [1,2,3,6,5,7,8,9,4]=>[4,9,8,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,5]=>4 [1,2,3,4,6,7,8,9,10,5]=>[5,10,9,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [1,2,5,4,6,7,8,9,3]=>[3,9,8,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [1,2,3,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[4,6]=>4 [1,4,3,5,6,7,8,9,2]=>[2,9,8,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [1,2,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,7]=>3 [3,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [6,7,4,8,3,5,1,2]=>[2,1,5,3,8,4,7,6]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [6,7,4,5,2,8,1,3]=>[3,1,8,2,5,4,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,7,4,6,2,3,1,8]=>[8,1,3,2,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,6,3,8,1,2]=>[2,1,8,3,6,4,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,7,4,8,3,6,1,2]=>[2,1,6,3,8,4,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [6,8,4,5,3,7,1,2]=>[2,1,7,3,5,4,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,8,4,6,3,7,1,2]=>[2,1,7,3,6,4,8,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,6,4,8,3,7,1,2]=>[2,1,7,3,8,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,6,3,7,2,4,1,8]=>[8,1,4,2,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,7,2,8,1,4]=>[4,1,8,2,7,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,3,8,2,7,1,4]=>[4,1,7,2,8,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,6,4,8,2,7,1,3]=>[3,1,7,2,8,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,8,4,6,2,7,1,3]=>[3,1,7,2,6,4,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,8,4,5,2,7,1,3]=>[3,1,7,2,5,4,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,8,4,5,2,6,1,3]=>[3,1,6,2,5,4,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [6,8,4,5,2,3,1,7]=>[7,1,3,2,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,4,6,2,3,1,7]=>[7,1,3,2,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,6,4,8,2,3,1,7]=>[7,1,3,2,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,3,8,2,4,1,7]=>[7,1,4,2,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,3,4,2,8,1,7]=>[7,1,8,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,3,5,2,7,1,8]=>[8,1,7,2,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,5,2,8,1,7]=>[7,1,8,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,3,8,2,5,1,7]=>[7,1,5,2,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,8,3,6,2,5,1,7]=>[7,1,5,2,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,3,6,2,4,1,7]=>[7,1,4,2,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,3,5,2,4,1,7]=>[7,1,4,2,5,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,8,3,5,2,4,1,6]=>[6,1,4,2,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,3,5,2,6,1,4]=>[4,1,6,2,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [5,8,3,6,2,7,1,4]=>[4,1,7,2,6,3,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,8,3,6,2,7,1,5]=>[5,1,7,2,6,3,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,6,3,8,2,7,1,5]=>[5,1,7,2,8,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,6,3,7,2,8,1,5]=>[5,1,8,2,7,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,7,3,6,2,5,1,8]=>[8,1,5,2,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,6,2,8,1,5]=>[5,1,8,2,6,3,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,7,3,8,2,6,1,5]=>[5,1,6,2,8,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,7,4,8,2,6,1,3]=>[3,1,6,2,8,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,7,3,6,2,8,1,4]=>[4,1,8,2,6,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,3,6,2,4,1,8]=>[8,1,4,2,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,5,2,4,1,8]=>[8,1,4,2,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,5,2,8,1,4]=>[4,1,8,2,5,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,7,4,8,2,5,1,3]=>[3,1,5,2,8,4,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,7,5,8,2,4,1,3]=>[3,1,4,2,8,5,7,6]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [6,8,5,7,2,3,1,4]=>[4,1,3,2,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [6,7,4,8,2,3,1,5]=>[5,1,3,2,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,7,3,8,2,4,1,5]=>[5,1,4,2,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,7,3,4,2,8,1,5]=>[5,1,8,2,4,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,7,3,4,2,6,1,8]=>[8,1,6,2,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,4,2,8,1,6]=>[6,1,8,2,4,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,7,4,8,2,3,1,6]=>[6,1,3,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,8,4,7,2,3,1,6]=>[6,1,3,2,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [6,8,4,7,2,3,1,5]=>[5,1,3,2,7,4,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [7,8,4,6,2,3,1,5]=>[5,1,3,2,6,4,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,3,6,2,4,1,5]=>[5,1,4,2,6,3,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [6,8,3,7,2,4,1,5]=>[5,1,4,2,7,3,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [5,8,3,7,2,4,1,6]=>[6,1,4,2,7,3,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,8,3,7,2,5,1,6]=>[6,1,5,2,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,7,3,8,2,5,1,6]=>[6,1,5,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,7,3,5,2,8,1,6]=>[6,1,8,2,5,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,3,5,2,6,1,8]=>[8,1,6,2,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,7,2,6,1,8]=>[8,1,6,2,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,7,2,8,1,6]=>[6,1,8,2,7,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,3,8,2,7,1,6]=>[6,1,7,2,8,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,8,3,5,2,7,1,6]=>[6,1,7,2,5,3,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,3,4,2,7,1,6]=>[6,1,7,2,4,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,3,4,2,7,1,5]=>[5,1,7,2,4,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [7,8,3,4,2,6,1,5]=>[5,1,6,2,4,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,8,3,4,2,5,1,7]=>[7,1,5,2,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,3,4,2,6,1,7]=>[7,1,6,2,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,3,5,2,6,1,7]=>[7,1,6,2,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,3,8,2,6,1,7]=>[7,1,6,2,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,3,6,2,8,1,7]=>[7,1,8,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,7,5,2,1,8,3,6]=>[6,3,8,1,2,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,8,5,2,1,7,6,3]=>[3,6,7,1,2,5,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [4,6,5,2,1,3,8,7]=>[7,8,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,4,2,3,1,8,7]=>[7,8,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,5,3,1,2,8,7]=>[7,8,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,1,3,2,8,7]=>[7,8,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,8,1,7,3,2,5]=>[5,2,3,7,1,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [4,7,8,1,6,3,5,2]=>[2,5,3,6,1,8,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [7,4,8,1,6,5,3,2]=>[2,3,5,6,1,8,4,7]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,2,1,2]=>2 [5,4,8,1,3,7,6,2]=>[2,6,7,3,1,8,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [8,4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [5,4,7,1,3,8,2,6]=>[6,2,8,3,1,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,4,8,1,7,5,2,3]=>[3,2,5,7,1,8,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [5,6,8,7,2,1,3,4]=>[4,3,1,2,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [8,5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5,8]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [8,4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [6,3,2,8,7,4,1,5]=>[5,1,4,7,8,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [2,1,6,8,7,4,3,5]=>[5,3,4,7,8,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [2,1,7,8,6,4,5,3]=>[3,5,4,6,8,7,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [7,3,2,8,6,4,5,1]=>[1,5,4,6,8,2,3,7]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [7,6,8,5,2,4,3,1]=>[1,3,4,2,5,8,6,7]=>[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>1 [5,7,8,6,2,3,1,4]=>[4,1,3,2,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,1,1]=>4 [6,8,7,5,3,2,4,1]=>[1,4,2,3,5,7,8,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>1 [5,8,4,2,3,7,6,1]=>[1,6,7,3,2,4,8,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [7,8,4,2,6,5,3,1]=>[1,3,5,6,2,4,8,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,2,2,1,2]=>1 [4,8,7,2,6,3,5,1]=>[1,5,3,6,2,7,8,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [3,6,1,8,7,4,2,5]=>[5,2,4,7,8,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [3,7,1,8,6,4,5,2]=>[2,5,4,6,8,1,7,3]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [3,8,1,6,7,5,2,4]=>[4,2,5,7,6,1,8,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [3,7,1,6,8,2,5,4]=>[4,5,2,8,6,1,7,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,7,6,2,8,1,3,5]=>[5,3,1,8,2,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,7,4,2,8,1,5,3]=>[3,5,1,8,2,4,7,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [2,1,8,6,7,5,3,4]=>[4,3,5,7,6,8,1,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [8,3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6,8]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>2 [5,8,6,7,3,1,2,4]=>[4,2,1,3,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [6,7,5,8,1,3,4,2]=>[2,4,3,1,8,5,7,6]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [8,6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6,8]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>2 [7,6,4,3,8,1,5,2]=>[2,5,1,8,3,4,6,7]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,3,2,6,8,1,5,4]=>[4,5,1,8,6,2,3,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,1,7,6,8,3,5,4]=>[4,5,3,8,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,5,6,8,1,4,2,3]=>[3,2,4,1,8,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [8,1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1,8]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [5,2,8,7,4,6,1,3]=>[3,1,6,4,7,8,2,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,5,4,8,3,1]=>[1,3,8,4,5,7,2,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [8,1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [6,1,5,4,3,8,7,2]=>[2,7,8,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,1,8,3,4,5,7,2]=>[2,7,5,4,3,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [7,1,5,3,4,8,6,2]=>[2,6,8,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,1,4,3,5,6,8,2]=>[2,8,6,5,3,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [1,7,2,4,5,6,3,8]=>[8,3,6,5,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,7,5,1,8,4]=>[4,8,1,5,7,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [6,5,8,2,4,7,3,1]=>[1,3,7,4,2,8,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [8,5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,5,2,8,4,1,3,7]=>[7,3,1,4,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,2,1,4,8,3,7]=>[7,3,8,4,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,1,8,5,2,4,7]=>[7,4,2,5,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,6,3,5,4,7,8]=>[8,7,4,5,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,2,8,6,5,7]=>[7,5,6,8,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,1,2,6,8,5,7]=>[7,5,8,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,8,1,6,3,2,4,7]=>[7,4,2,3,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,3,8,5,2,1,4,7]=>[7,4,1,2,5,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [3,8,2,6,1,5,7,4]=>[4,7,5,1,6,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,6,7,2,1,5,4]=>[4,5,1,2,7,6,8,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [8,5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,2,5,8,3,1,6,4]=>[4,6,1,3,8,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,7,5,6,3,2,4,8]=>[8,4,2,3,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,3,8,5,7,4]=>[4,7,5,8,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [7,1,2,3,6,5,8,4]=>[4,8,5,6,3,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,2,1,3,8,6,4,5]=>[5,4,6,8,3,1,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,5,7,3,2,4,6,8]=>[8,6,4,2,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,3,1,8,4,6]=>[6,4,8,1,3,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,8,2,4,1,3,7,6]=>[6,7,3,1,4,2,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [4,8,1,6,3,2,7,5]=>[5,7,2,3,6,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,1,8,6,4,2,7,5]=>[5,7,2,4,6,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [3,5,8,7,2,4,1,6]=>[6,1,4,2,7,8,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,2,1,3,7,8,5,6]=>[6,5,8,7,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,1,3,8,7,5,6]=>[6,5,7,8,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,5,8,3,1,7,4,6]=>[6,4,7,1,3,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [2,8,1,3,6,4,7,5]=>[5,7,4,6,3,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,2,3,4,1,5,7]=>[7,5,1,4,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,1,8,3,2,4,6,7]=>[7,6,4,2,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1]=>1 [8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,2]=>1 [8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,3]=>1 [8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,4]=>1 [8,7,6,5,9,4,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,5]=>1 [8,7,6,5,4,9,3,2,1]=>[1,2,3,9,4,5,6,7,8]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,6]=>1 [8,7,6,5,4,3,9,2,1]=>[1,2,9,3,4,5,6,7,8]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,7]=>1 [8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,2]=>1 [7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,3]=>1 [9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,3]=>1 [8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,9,7,6,8]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,4]=>1 [9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,4]=>1 [8,7,5,6,9,4,3,2,1]=>[1,2,3,4,9,6,5,7,8]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,5]=>1 [9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,5]=>1 [8,7,6,4,5,9,3,2,1]=>[1,2,3,9,5,4,6,7,8]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,6]=>1 [9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,6]=>1 [8,7,6,5,3,4,9,2,1]=>[1,2,9,4,3,5,6,7,8]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,7]=>1 [9,8,7,6,5,4,10,3,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,7]=>1 [8,7,6,5,4,2,3,9,1]=>[1,9,3,2,4,5,6,7,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [9,8,7,6,5,4,3,10,2,1]=>[1,2,10,3,4,5,6,7,8,9]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,8]=>1 [8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,4,2,7,8,6,3,5]=>[5,3,6,8,7,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,6,2,4,8,5,3,7]=>[7,3,5,8,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,2,4,7,5,3,8]=>[8,3,5,7,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,8,5,2,4,6]=>[6,4,2,5,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,7,3,2,8,6,4,5]=>[5,4,6,8,2,3,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [4,2,5,7,8,6,1,3]=>[3,1,6,8,7,5,2,4]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,2,3,1,8,5,6,4]=>[4,6,5,8,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [6,2,1,8,3,4,7,5]=>[5,7,4,3,8,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,2,8,3,5,1,7,4]=>[4,7,1,5,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,2,4,8,5,7,1,3]=>[3,1,7,5,8,4,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,3,6,4,8,5,7,2]=>[2,7,5,8,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,3,6,4,7,5,8,2]=>[2,8,5,7,4,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,4,7,5,8,1,3]=>[3,1,8,5,7,4,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,2,1,3,7,8,4,5]=>[5,4,8,7,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,8,2,1,4,3,5,6]=>[6,5,3,4,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,6,4,2,3,1,8,5]=>[5,8,1,3,2,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,2,3,1,6,8,4]=>[4,8,6,1,3,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,4,2,6,8,1,3]=>[3,1,8,6,2,4,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,7,5,3,4,6,8,2]=>[2,8,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,2,6,3,1,8,7,4]=>[4,7,8,1,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [8,2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,7,4,2,3,5,6,8]=>[8,6,5,3,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,4,1,3,2,5,7]=>[7,5,2,3,1,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,7,4,3,2,5,6]=>[6,5,2,3,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,6,3,8,2,4,7,5]=>[5,7,4,2,8,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,3,8,1,2,7,4,6]=>[6,4,7,2,1,8,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,1,8,3,2,6,4,7]=>[7,4,6,2,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,7,3,1,2,6,4,8]=>[8,4,6,2,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,5,4,2,6,3,8]=>[8,3,6,2,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,8,2,4,6,3,7]=>[7,3,6,4,2,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,8,4,2,7,3,6]=>[6,3,7,2,4,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,3,1,6,7,2,4,8]=>[8,4,2,7,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,1,2,8,4,7]=>[7,4,8,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,3,2,7,8,4,5]=>[5,4,8,7,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,4,5,3,8,6,2]=>[2,6,8,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [6,3,4,1,2,5,8,7]=>[7,8,5,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,1,4,2,7,5,8]=>[8,5,7,2,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,3,2,4,5,6,7]=>[7,6,5,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,5,2,6,8,1,7,3]=>[3,7,1,8,6,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,2,5,6,7,8,1,3]=>[3,1,8,7,6,5,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,2,3,6,7,1,8,4]=>[4,8,1,7,6,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,3,4,1,7,8,5]=>[5,8,7,1,4,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,3,1,4,5,8,6]=>[6,8,5,4,1,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,7,5,1,8,2,4,6]=>[6,4,2,8,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,1,5,2,8,7,3,6]=>[6,3,7,8,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [8,1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,7,5,4,2,8,3,6]=>[6,3,8,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,1,4,8,2,7,3,6]=>[6,3,7,2,8,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,4,6,8,2,7,3,5]=>[5,3,7,2,8,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,4,7,6,2,8,3,5]=>[5,3,8,2,6,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,1,4,7,2,8,3,6]=>[6,3,8,2,7,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,7,4,5,2,8,3,6]=>[6,3,8,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,7,5,1,2,8,4,6]=>[6,4,8,2,1,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,7,2,8,1,3,4,6]=>[6,4,3,1,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,2,8,7,1,3,4,6]=>[6,4,3,1,7,8,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,1,5,8,2,7,3,6]=>[6,3,7,2,8,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,4,6,2,8,7,3,5]=>[5,3,7,8,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,4,2,8,6,7,3,5]=>[5,3,7,6,8,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,1,2,6,4,8,7,5]=>[5,7,8,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,1,7,6,3,4,8,5]=>[5,8,4,3,6,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,2,7,4,6,8,5]=>[5,8,6,4,7,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,7,2,6,8,3,5]=>[5,3,8,6,2,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,2,3,6,8,5,7,4]=>[4,7,5,8,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,1,4,2,7,8,3,6]=>[6,3,8,7,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,2,7,6,8,3,5]=>[5,3,8,6,7,2,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,4,2,6,8,7,3,5]=>[5,3,7,8,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,1,2,8,4,6,7,5]=>[5,7,6,4,8,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,1,2,7,6,4,8,5]=>[5,8,4,6,7,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,7,1,8,2,4,6]=>[6,4,2,8,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,7,4,3,2,5,8,6]=>[6,8,5,2,3,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,8,7,2,1,3,5,6]=>[6,5,3,1,2,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,8,7,3,4,2,5,6]=>[6,5,2,4,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,1,7,8,2,6,4,5]=>[5,4,6,2,8,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,4,2,7,8,3,6,5]=>[5,6,3,8,7,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,2,8,1,3,4,7,6]=>[6,7,4,3,1,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,1,8,6,3,4,7,5]=>[5,7,4,3,6,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,4,2,6,8,3,7,5]=>[5,7,3,8,6,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,2,3,7,8,5,6,4]=>[4,6,5,8,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,2,3,7,5,8,6,4]=>[4,6,8,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,4,2,7,3,8,6,5]=>[5,6,8,3,7,2,4,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,1,7,2,8,6,4,5]=>[5,4,6,8,2,7,1,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,1,7,8,3,4,6,5]=>[5,6,4,3,8,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,2,3,8,7,5,6,4]=>[4,6,5,7,8,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [10,1,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,1]=>8 [10,1,2,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0]=>[8,1,1]=>8 [9,1,2,3,4,10,5,6,7,8]=>[8,7,6,5,10,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[8,2]=>8 [10,1,2,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,2,1,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[8,1,1]=>8 [10,1,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,1,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[8,1,1]=>8 [9,1,10,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,10,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,2]=>8 [10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,1,1]=>8 [11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1]=>10 [8,1,2,3,4,5,6,9,10,7]=>[7,10,9,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,3]=>7 [7,1,2,3,4,5,10,9,6,8]=>[8,6,9,10,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[8,1,1]=>8 [5,1,2,3,9,10,4,6,7,8]=>[8,7,6,4,10,9,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[8,2]=>8 [2,9,10,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,10,9,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,2]=>8 [4,7,8,5,6,2,1,3]=>[3,1,2,6,5,8,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,3,2]=>3 [5,7,8,4,2,6,1,3]=>[3,1,6,2,4,8,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [6,7,8,4,2,5,1,3]=>[3,1,5,2,4,8,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [8,6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [7,6,3,8,2,1,5,4]=>[4,5,1,2,8,3,6,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,8,3,2,1,5,4]=>[4,5,1,2,3,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [5,7,8,3,2,1,6,4]=>[4,6,1,2,3,8,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [2,7,8,4,3,5,6,1]=>[1,6,5,3,4,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [3,7,8,4,2,5,1,6]=>[6,1,5,2,4,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,7,8,3,2,1,5,6]=>[6,5,1,2,3,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,7,8,3,2,1,4,6]=>[6,4,1,2,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,6,3,8,2,1,4,5]=>[5,4,1,2,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [8,6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [5,6,3,8,2,1,4,7]=>[7,4,1,2,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,6,4,8,2,5,1,7]=>[7,1,5,2,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,4,8,3,5,7,1]=>[1,7,5,3,8,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,6,4,7,3,5,8,1]=>[1,8,5,3,7,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,4,7,2,5,1,8]=>[8,1,5,2,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,7,2,1,5,8]=>[8,5,1,2,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,7,2,1,4,8]=>[8,4,1,2,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,4,3,2,1,7,5,8]=>[8,5,7,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,2,7,1,6,8]=>[8,6,1,7,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,2,8,6,1,7]=>[7,1,6,8,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,3,2,1,8,5,7]=>[7,5,8,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,4,3,2,1,8,5,6]=>[6,5,8,1,2,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [7,4,3,2,1,8,6,5]=>[5,6,8,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [6,4,3,2,1,8,7,5]=>[5,7,8,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [5,6,3,8,2,1,7,4]=>[4,7,1,2,8,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [7,5,3,2,8,1,6,4]=>[4,6,1,8,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [7,5,4,2,8,6,1,3]=>[3,1,6,8,2,4,5,7]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [6,5,4,2,8,7,1,3]=>[3,1,7,8,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,6,5,8,7,2,1,3]=>[3,1,2,7,8,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>3 [2,6,5,7,8,3,4,1]=>[1,4,3,8,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [6,5,4,2,7,8,1,3]=>[3,1,8,7,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,5,3,2,6,1,8,4]=>[4,8,1,6,2,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,3,7,2,1,8,4]=>[4,8,1,2,7,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,6,3,7,2,1,8,5]=>[5,8,1,2,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,4,7,2,8,1,5]=>[5,1,8,2,7,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,6,4,7,3,8,5,1]=>[1,5,8,3,7,4,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,5,4,2,7,8,1,6]=>[6,1,8,7,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,3,2,7,1,8,6]=>[6,8,1,7,2,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,3,2,1,6,8,5]=>[5,8,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,4,3,2,1,5,8,6]=>[6,8,5,1,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,4,2,6,8,1,7]=>[7,1,8,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>1 [7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>2 [5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,2,6,4,8,5,1,7]=>[7,1,5,8,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,5,8,4,6,1,7]=>[7,1,6,4,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,2,4,1,7,6,8]=>[8,6,7,1,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,5,7,3,6,8]=>[8,6,3,7,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,3,7,1,6,8]=>[8,6,1,7,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,3,8,1,6,7]=>[7,6,1,8,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,5,8,3,1,6,7]=>[7,6,1,3,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,5,4,2,8,6,7]=>[7,6,8,2,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,3,8,2,6,7]=>[7,6,2,8,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,5,8,3,2,6,7]=>[7,6,2,3,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,8,5,2,1,6,7]=>[7,6,1,2,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,7,3,5,2,1,6,8]=>[8,6,1,2,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,7,5,1,6,8]=>[8,6,1,5,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,2,5,1,7,8]=>[8,7,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,2,5,1,7,8]=>[8,7,1,5,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,7,1,3,2,5,8]=>[8,5,2,3,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,7,3,2,6,8]=>[8,6,2,3,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,3,7,2,6,8]=>[8,6,2,7,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,4,2,7,6,8]=>[8,6,7,2,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,4,3,7,8,6]=>[6,8,7,3,4,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,2,1,4,3,7,8,6]=>[6,8,7,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,3,1,4,2,7,6,8]=>[8,6,7,2,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,5,7,2,6,8]=>[8,6,2,7,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,7,5,2,6,8]=>[8,6,2,5,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,1,5,2,7,8]=>[8,7,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,4,1,2,7,8]=>[8,7,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,1,7,2,5,8]=>[8,5,2,7,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,1,2,7,5,8]=>[8,5,7,2,1,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,1,3,7,8,5]=>[5,8,7,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,4,1,2,7,5,8]=>[8,5,7,2,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,1,7,2,5,8]=>[8,5,2,7,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,2,1,4,7,8]=>[8,7,4,1,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,7,1,3,4,8]=>[8,4,3,1,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,7,3,1,6,8]=>[8,6,1,3,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,7,2,3,1,5,8]=>[8,5,1,3,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,1,7,3,5,8]=>[8,5,3,7,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,1,4,7,5,8]=>[8,5,7,4,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,1,4,7,5,8]=>[8,5,7,4,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,7,2,4,5,1,8]=>[8,1,5,4,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,7,4,6,1,8]=>[8,1,6,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,4,8,5,1,6]=>[6,1,5,8,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,2,1,4,6,3,8,5]=>[5,8,3,6,4,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,1,4,6,8,2,5]=>[5,2,8,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,2,6,1,5,7,4,8]=>[8,4,7,5,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,1,5,7,4,8]=>[8,4,7,5,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,1,5,7,4,8]=>[8,4,7,5,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,1,5,3,7,8]=>[8,7,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,7,5,3,6,8]=>[8,6,3,5,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,1,5,6,2,3,8]=>[8,3,2,6,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,1,5,2,6,4,8]=>[8,4,6,2,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,1,5,3,6,8,4]=>[4,8,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,5,1,3,7,8,4]=>[4,8,7,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,5,1,2,7,4,8]=>[8,4,7,2,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,1,7,2,3,8]=>[8,3,2,7,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,1,7,2,3,8]=>[8,3,2,7,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,1,2,7,4,8]=>[8,4,7,2,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,1,4,7,8,3]=>[3,8,7,4,1,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,3,1,4,7,2,8]=>[8,2,7,4,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,8,5,4,7,6]=>[6,7,4,5,8,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,4,1,5,8,3,7,6]=>[6,7,3,8,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,4,1,5,3,8,7,6]=>[6,7,8,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,4,5,1,2,8,7,6]=>[6,7,8,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,4,5,1,8,2,7,6]=>[6,7,2,8,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,8,4,5,3,2,7,6]=>[6,7,2,3,5,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,4,8,5,3,1,7,6]=>[6,7,1,3,5,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,4,5,8,2,1,7,6]=>[6,7,1,2,8,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,5,2,8,1,7,6]=>[6,7,1,8,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,4,6,2,1,7,8,5]=>[5,8,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,6,2,1,7,5,8]=>[8,5,7,1,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,2,7,1,4,8]=>[8,4,1,7,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,2,7,1,8,4]=>[4,8,1,7,2,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,6,2,7,8,1,4]=>[4,1,8,7,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,4,6,2,8,7,1,5]=>[5,1,7,8,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,4,6,8,2,7,1,5]=>[5,1,7,2,8,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,8,6,3,7,1,5]=>[5,1,7,3,6,8,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,8,4,6,3,7,2,5]=>[5,2,7,3,6,4,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,4,6,3,7,5,2]=>[2,5,7,3,6,4,8,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [3,4,6,8,2,7,5,1]=>[1,5,7,2,8,6,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [3,4,6,2,8,7,5,1]=>[1,5,7,8,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [3,5,6,2,7,8,4,1]=>[1,4,8,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,5,6,2,7,4,1,8]=>[8,1,4,7,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,7,2,8,3,1]=>[1,3,8,2,7,6,5,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [3,5,6,8,7,2,4,1]=>[1,4,2,7,8,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [2,5,8,6,7,3,4,1]=>[1,4,3,7,6,8,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [1,8,5,6,7,3,4,2]=>[2,4,3,7,6,5,8,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [1,8,5,6,7,3,2,4]=>[4,2,3,7,6,5,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [2,5,8,6,7,3,1,4]=>[4,1,3,7,6,8,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [3,5,6,8,7,2,1,4]=>[4,1,2,7,8,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [4,5,6,7,2,1,8,3]=>[3,8,1,2,7,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,4,6,1,8,7,2,5]=>[5,2,7,8,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,1,6,8,7,3,5]=>[5,3,7,8,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,3,1,8,6,7,4,5]=>[5,4,7,6,8,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,8,3,2,6,7,5,4]=>[4,5,7,6,2,3,8,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [2,5,1,6,7,8,4,3]=>[3,4,8,7,6,1,5,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,5,1,6,7,4,8,3]=>[3,8,4,7,6,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,5,1,6,7,4,3,8]=>[8,3,4,7,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,1,7,4,2,8]=>[8,2,4,7,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,1,7,4,8,2]=>[2,8,4,7,1,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,6,1,8,7,5,2]=>[2,5,7,8,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [2,4,8,6,1,7,5,3]=>[3,5,7,1,6,8,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [1,8,4,6,2,7,5,3]=>[3,5,7,2,6,4,8,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [1,8,5,6,7,2,4,3]=>[3,4,2,7,6,5,8,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [2,5,8,6,7,1,4,3]=>[3,4,1,7,6,8,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [3,5,6,8,7,1,4,2]=>[2,4,1,7,8,6,5,3]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [4,5,6,7,1,3,8,2]=>[2,8,3,1,7,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,5,6,7,1,3,2,8]=>[8,2,3,1,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,7,3,1,8,2]=>[2,8,1,3,7,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,6,8,7,4,1,2]=>[2,1,4,7,8,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [2,5,8,6,7,4,1,3]=>[3,1,4,7,6,8,5,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [1,8,5,6,7,4,2,3]=>[3,2,4,7,6,5,8,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [1,8,5,6,7,4,3,2]=>[2,3,4,7,6,5,8,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,3,1]=>2 [2,5,8,6,7,4,3,1]=>[1,3,4,7,6,8,5,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,1,3,1]=>1 [8,2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [5,8,2,4,3,7,1,6]=>[6,1,7,3,4,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,2,5,6,1,8,3,7]=>[7,3,8,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,5,6,1,7,3,8]=>[8,3,7,1,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,5,7,3,2,4,8]=>[8,4,2,3,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,5,8,3,2,4,7]=>[7,4,2,3,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,8,2,4,7,1,5,6]=>[6,5,1,7,4,2,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,6,8,2,4,7,1,5]=>[5,1,7,4,2,8,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,3,5,6,7,1,8,2]=>[2,8,1,7,6,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,7,1,5,6,8,2,4]=>[4,2,8,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,7,1,5,8,2,4,6]=>[6,4,2,8,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,3,2,4,6,1,5,8]=>[8,5,1,6,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,1,7,4,6,8]=>[8,6,4,7,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,1,8,4,6,7]=>[7,6,4,8,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,5,1,7,8,4,6]=>[6,4,8,7,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,8,3,2,4,6,1,5]=>[5,1,6,4,2,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,1,5,7,8,3,2,4]=>[4,2,3,8,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,2,5,6,1,7,8,3]=>[3,8,7,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,6,1,8,3,4,2]=>[2,4,3,8,1,6,7,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [5,8,6,1,7,3,4,2]=>[2,4,3,7,1,6,8,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [6,1,5,8,7,3,2,4]=>[4,2,3,7,8,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [8,7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [3,2,5,1,8,7,4,6]=>[6,4,7,8,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,2,5,1,6,4,7,8]=>[8,7,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,1,8,7,5,6]=>[6,5,7,8,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,2,5,1,6,8,7,4]=>[4,7,8,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,8,6,5,1,7,4,2]=>[2,4,7,1,5,6,8,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [3,7,6,5,1,8,4,2]=>[2,4,8,1,5,6,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,5,1,7,8,4,2,3]=>[3,2,4,8,7,1,5,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,2,5,1,6,7,8,4]=>[4,8,7,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,4,1,8,5,6,7]=>[7,6,5,8,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,4,1,7,5,6,8]=>[8,6,5,7,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,1,6,8,5,7]=>[7,5,8,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [8,3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,2,5,1,6,7,4,8]=>[8,4,7,6,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,7,4,2,3,8]=>[8,3,2,4,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,8,4,2,3,7]=>[7,3,2,4,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4,8]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>2 [5,2,6,1,8,4,7,3]=>[3,7,4,8,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,4,2,3,8,5,1,6]=>[6,1,5,8,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,5,1,6,4,2,3,8]=>[8,3,2,4,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,1,7,6,4,8]=>[8,4,6,7,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,1,8,6,4,7]=>[7,4,6,8,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,2,4,8,6,1,5]=>[5,1,6,8,4,2,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [4,2,6,1,8,5,7,3]=>[3,7,5,8,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [8,5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5,8]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,2,3,1]=>2 [3,6,8,5,1,7,4,2]=>[2,4,7,1,5,8,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [8,5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5,8]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>3 [3,2,5,1,8,6,7,4]=>[4,7,6,8,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,2,4,1,8,6,5,7]=>[7,5,6,8,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,4,1,5,8,6,7]=>[7,6,8,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,5,1,7,8,6,4]=>[4,6,8,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,8,5,1,6,4,2,3]=>[3,2,4,6,1,5,8,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,2]=>3 [3,8,5,1,7,6,4,2]=>[2,4,6,7,1,5,8,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,2,2,1,1]=>2 [3,7,5,1,8,6,4,2]=>[2,4,6,8,1,5,7,3]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [8,7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7,8]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>3 [3,2,5,1,8,7,6,4]=>[4,6,7,8,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [6,5,7,3,1,8,4,2]=>[2,4,8,1,3,7,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [4,6,3,7,1,8,5,2]=>[2,5,8,1,7,3,6,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,6,3,7,5,1,8,2]=>[2,8,1,5,7,3,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,2,6,1,7,5,3,8]=>[8,3,5,7,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,7,4,1,6,3,8]=>[8,3,6,1,4,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,7,4,1,6,8,3]=>[3,8,6,1,4,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,7,3,6,1,8,2]=>[2,8,1,6,3,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,7,8,3,1,6,2]=>[2,6,1,3,8,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,3,7,5,1,8,6,2]=>[2,6,8,1,5,7,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [6,4,3,8,5,1,7,2]=>[2,7,1,5,8,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,8,4,3,6,1,7,2]=>[2,7,1,6,3,4,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,4,8,3,6,1,7,2]=>[2,7,1,6,3,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,4,3,6,7,1,8,2]=>[2,8,1,7,6,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,5,4,6,1,7,3,8]=>[8,3,7,1,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,8,1,6,7,4]=>[4,7,6,1,8,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,5,4,6,8,1,7,3]=>[3,7,1,8,6,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,6,2,1,8,5,7,3]=>[3,7,5,8,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,4,1,7,5,8,6,3]=>[3,6,8,5,7,1,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [2,4,1,7,5,3,8,6]=>[6,8,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,8,2,1,6,3,7]=>[7,3,6,1,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,5,8,4,1,6,3,7]=>[7,3,6,1,4,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,5,6,1,8,4,7]=>[7,4,8,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,8,3,2,6,1,5,7]=>[7,5,1,6,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,5,2,8,1,6,4,7]=>[7,4,6,1,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,1,6,8,5,4,7]=>[7,4,5,8,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,7,1,5,4,8,6]=>[6,8,4,5,1,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,7,1,5,8,6,4]=>[4,6,8,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,8,2,5,1,6,7,4]=>[4,7,6,1,5,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,8,3,2,6,7,1,5]=>[5,1,7,6,2,3,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,3,8,2,6,7,1,5]=>[5,1,7,6,2,8,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,3,2,6,7,8,1,5]=>[5,1,8,7,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,2,6,7,1,5,8]=>[8,5,1,7,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,2,6,8,1,5]=>[5,1,8,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,7,8,2,6,1,5]=>[5,1,6,2,8,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,5,7,4,8,1,6,3]=>[3,6,1,8,4,7,5,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,2,5,7,8,1,6,4]=>[4,6,1,8,7,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,2,5,7,1,6,8,4]=>[4,8,6,1,7,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,5,7,1,6,4,8]=>[8,4,6,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,7,1,5,4,8]=>[8,4,5,1,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,7,1,5,8,4]=>[4,8,5,1,7,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,2,7,8,1,5,4]=>[4,5,1,8,7,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,2,6,1,7,8,5,3]=>[3,5,8,7,1,6,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [6,5,2,1,7,8,4,3]=>[3,4,8,7,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,1,7,5,3,8,6,4]=>[4,6,8,3,5,7,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,2,1,8,5,3,7,4]=>[4,7,3,5,8,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,3,2,7,1,4,8,5]=>[5,8,4,1,7,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,3,2,1,4,7,8,5]=>[5,8,7,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,3,2,1,4,7,5,8]=>[8,5,7,4,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,1,7,4,6,8]=>[8,6,4,7,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,1,7,8,4,6]=>[6,4,8,7,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,8,4,2,1,7,3,6]=>[6,3,7,1,2,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,6,2,1,8,3,7,5]=>[5,7,3,8,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,1,7,3,8,6,5]=>[5,6,8,3,7,1,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,2,7,1,4,8,6,5]=>[5,6,8,4,1,7,2,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,5,8,2,1,7,4,6]=>[6,4,7,1,2,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,8,3,7,2,1,5,6]=>[6,5,1,2,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,3,7,2,8,1,5,6]=>[6,5,1,8,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,3,7,2,1,5,6,8]=>[8,6,5,1,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,3,2,7,1,5,6]=>[6,5,1,7,2,3,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,3,2,8,1,4,7,5]=>[5,7,4,1,8,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,2,1,4,7,5,8,6]=>[6,8,5,7,4,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,3,2,1,8,4,6,7]=>[7,6,4,8,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,8,3,2,1,5,6,7]=>[7,6,5,1,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,3,8,2,1,5,6,7]=>[7,6,5,1,2,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1,1,1]=>2 [8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>2 [1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1,1,1,1]=>2 [9,8,7,5,6,4,3,2,1,10]=>[10,1,2,3,4,6,5,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,7,5,4,6,3,2,1,9]=>[9,1,2,3,6,4,5,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,4,6,5,3,2,1,9]=>[9,1,2,3,5,6,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,9,8,6,5,7,4,3,2]=>[2,3,4,7,5,6,8,9,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,1,3,1,1]=>2 [1,9,8,5,7,6,4,3,2]=>[2,3,4,6,7,5,8,9,1]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>2 [6,2,3,1,5,4,8,7]=>[7,8,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6,8]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>1 [8,2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,2,5,3,4,1,8,7]=>[7,8,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,5,2,4,3,8,7]=>[7,8,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,5,1,3,2,8,7]=>[7,8,2,3,1,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,5,3,4,2,8,7]=>[7,8,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,5,1,4,2,8,7]=>[7,8,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [8,3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,1,8,4,5,3,7,6]=>[6,7,3,5,4,8,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>2 [8,6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6,8]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>2 [8,6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6,8]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>2 [8,3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [8,5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [8,3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3,8]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [8,3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3,8]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [8,3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3,8]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [8,1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1,8]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [8,1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [8,4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4,8]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>2 [2,1,8,4,7,5,6,3]=>[3,6,5,7,4,8,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [8,1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3,8]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [8,2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2,8]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [8,2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [2,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [8,1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [8,4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4,8]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>1 [8,4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,2,3,1,8,5,7,6]=>[6,7,5,8,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,3,2,8,6,7,5]=>[5,7,6,8,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6,8]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [8,2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [8,5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5,8]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [8,2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2,8]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [8,6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6,8]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>3 [8,6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6,8]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>3 [8,6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6,8]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [2,1,8,6,7,3,5,4]=>[4,5,3,7,6,8,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [2,1,8,3,7,5,6,4]=>[4,6,5,7,3,8,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [8,1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1,8]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [8,1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1,8]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2,8]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2,8]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2,8]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [8,4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4,8]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [8,4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4,8]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4,8]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1,8]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5,8]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [2,1,8,5,7,3,6,4]=>[4,6,3,7,5,8,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [8,5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5,8]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>2 [8,5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [8,1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1,8]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [8,4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4,8]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [8,4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4,8]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [2,4,8,3,6,1,7,5]=>[5,7,1,6,3,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,5,8,1,3,2,7,4]=>[4,7,2,3,1,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,5,8,6,3,2,7,1]=>[1,7,2,3,6,8,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,5,8,7,3,1,2,4]=>[4,2,1,3,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [1,5,8,7,3,6,2,4]=>[4,2,6,3,7,8,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [1,7,2,8,4,6,5,3]=>[3,5,6,4,8,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [6,7,2,8,4,1,5,3]=>[3,5,1,4,8,2,7,6]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [3,6,2,8,4,5,7,1]=>[1,7,5,4,8,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,6,1,8,4,5,7,3]=>[3,7,5,4,8,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,8,4,6,1,5,7,3]=>[3,7,5,1,6,4,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,3,1,8,4,5,7,2]=>[2,7,5,4,8,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,1,6,8,4,5,7,2]=>[2,7,5,4,8,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,3,6,8,4,5,7,1]=>[1,7,5,4,8,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,3,7,8,4,1,5,2]=>[2,5,1,4,8,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [1,3,7,8,4,6,5,2]=>[2,5,6,4,8,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [1,5,7,8,2,4,6,3]=>[3,6,4,2,8,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,1,7,8,2,4,6,3]=>[3,6,4,2,8,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,6,7,8,4,2,5,1]=>[1,5,2,4,8,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [7,6,1,8,4,2,5,3]=>[3,5,2,4,8,1,6,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [5,6,8,7,3,2,1,4]=>[4,1,2,3,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [2,8,3,7,1,6,5,4]=>[4,5,6,1,7,3,8,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [5,2,8,7,3,6,1,4]=>[4,1,6,3,7,8,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [7,2,1,8,4,6,5,3]=>[3,5,6,4,8,1,2,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [3,2,7,8,4,6,5,1]=>[1,5,6,4,8,7,2,3]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [5,2,7,8,1,4,6,3]=>[3,6,4,1,8,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [1,2,7,8,5,4,6,3]=>[3,6,4,5,8,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,2,1,3,8,5,6,7]=>[7,6,5,8,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,2,5,8,3,4,6,1]=>[1,6,4,3,8,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,2,8,5,4,3,1,7]=>[7,1,3,4,5,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,8,3,5,4,1,6,7]=>[7,6,1,4,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,4,5,3,1,6,7]=>[7,6,1,3,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,8,5,2,3,1,7]=>[7,1,3,2,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,3,5,8,2,4,6,1]=>[1,6,4,2,8,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,3,1,2,8,5,6,7]=>[7,6,5,8,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,2,1,8,5,6,7]=>[7,6,5,8,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,7,6,8,4,3,5,1]=>[1,5,3,4,8,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [5,7,1,8,3,4,6,2]=>[2,6,4,3,8,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,7,5,8,1,4,6,2]=>[2,6,4,1,8,5,7,3]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,7,5,8,3,4,6,2]=>[2,6,4,3,8,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,6,8,5,4,3,2,7]=>[7,2,3,4,5,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,6,8,5,1,3,2,7]=>[7,2,3,1,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,8,1,4,3,2,7]=>[7,2,3,4,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,5,8,6,3,4,2,1]=>[1,2,4,3,6,8,5,7]=>[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,2,2,2]=>1 [2,4,8,3,6,5,1,7]=>[7,1,5,6,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,8,4,1,5,6,3,7]=>[7,3,6,5,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,1,8,3,5,6,2,7]=>[7,2,6,5,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,8,4,1,3,2,7]=>[7,2,3,1,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,6,8,1,5,3,2,7]=>[7,2,3,5,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,8,4,5,3,2,7]=>[7,2,3,5,4,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,7,3,8,5,4,6,2]=>[2,6,4,5,8,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,7,1,8,5,4,6,2]=>[2,6,4,5,8,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [2,7,3,8,4,6,5,1]=>[1,5,6,4,8,3,7,2]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [7,1,3,8,4,6,5,2]=>[2,5,6,4,8,3,1,7]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [5,7,8,4,3,6,1,2]=>[2,1,6,3,4,8,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [2,8,7,4,1,6,5,3]=>[3,5,6,1,4,7,8,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [2,8,5,4,3,1,6,7]=>[7,6,1,3,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,5,8,4,2,3,1,7]=>[7,1,3,2,4,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,1,3,2,8,5,6,7]=>[7,6,5,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,3,2,8,5,6,7]=>[7,6,5,8,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,2,8,5,4,6,1]=>[1,6,4,5,8,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,4,8,2,5,3,1,7]=>[7,1,3,5,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,8,4,3,5,1,6,7]=>[7,6,1,5,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,3,4,5,1,6,7]=>[7,6,1,5,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,2,8,4,5,3,1,7]=>[7,1,3,5,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,2,3,8,5,4,6,1]=>[1,6,4,5,8,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,2,3,1,8,5,6,7]=>[7,6,5,8,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,1,4,8,5,6,7]=>[7,6,5,8,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,3,2,4,8,6,7]=>[7,6,8,4,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,8,1,5,3,4,7,6]=>[6,7,4,3,5,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,2,8,4,5,3,7,6]=>[6,7,3,5,4,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,4,2,8,5,3,6,7]=>[7,6,3,5,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,8,4,2,5,3,6,7]=>[7,6,3,5,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,8,1,5,2,4,6,7]=>[7,6,4,2,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,5,1,4,8,2,6,7]=>[7,6,2,8,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,5,4,3,8,6,7]=>[7,6,8,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,4,8,5,3,7,6]=>[6,7,3,5,8,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,7,4,8,5,3,6]=>[6,3,5,8,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,2,7,8,4,3,6]=>[6,3,4,8,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,1,2,7,4,8,3,6]=>[6,3,8,4,7,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,8,1,5,4,7,3,6]=>[6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,2,8,5,7,4,3,6]=>[6,3,4,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,2,4,8,7,5,3,6]=>[6,3,5,7,8,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,8,1,4,3,7,6,5]=>[5,6,7,3,4,1,8,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [6,1,2,8,7,4,3,5]=>[5,3,4,7,8,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,1,2,8,7,3,5]=>[5,3,7,8,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,6,4,8,1,7,2,5]=>[5,2,7,1,8,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,6,1,4,2,8,3,5]=>[5,3,8,2,4,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,1,6,2,8,4,3,5]=>[5,3,4,8,2,6,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,6,7,2,8,4,3,5]=>[5,3,4,8,2,7,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,7,1,4,2,8,3,5]=>[5,3,8,2,4,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,7,1,4,8,2,5]=>[5,2,8,4,1,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,7,8,1,5,2,4,6]=>[6,4,2,5,1,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,2,8,5,3,4,6]=>[6,4,3,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,7,2,8,4,5,3,6]=>[6,3,5,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,4,2,7,8,5,3,6]=>[6,3,5,8,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,1,2,8,4,3,7,5]=>[5,7,3,4,8,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,1,2,8,3,7,5]=>[5,7,3,8,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,6,1,3,2,4,8,5]=>[5,8,4,2,3,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,1,3,2,4,8,5]=>[5,8,4,2,3,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,7,3,5,8,4,6]=>[6,4,8,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,7,5,8,3,4,6]=>[6,4,3,8,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,8,1,3,7,2,4,6]=>[6,4,2,7,3,1,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [1,2,5,8,7,3,4,6]=>[6,4,3,7,8,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,5,8,3,7,4,6]=>[6,4,7,3,8,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,8,1,7,3,5,4,6]=>[6,4,5,3,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,2,8,1,7,3,6,5]=>[5,6,3,7,1,8,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,8,1,7,4,3,6,5]=>[5,6,3,4,7,1,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [7,1,2,8,4,3,6,5]=>[5,6,3,4,8,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,2,8,4,7,5,3,6]=>[6,3,5,7,4,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,2,8,7,4,5,3,6]=>[6,3,5,4,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,8,1,7,5,3,4,6]=>[6,4,3,5,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [3,8,6,1,4,7,2,5]=>[5,2,7,4,1,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [7,1,2,8,6,4,3,5]=>[5,3,4,6,8,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,4,1,2,8,6,3,5]=>[5,3,6,8,2,1,4,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,7,4,8,1,6,2,5]=>[5,2,6,1,8,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,4,8,7,1,6,2,5]=>[5,2,6,1,7,8,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [4,2,8,1,7,6,3,5]=>[5,3,6,7,1,8,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,8,1,7,6,4,3,5]=>[5,3,4,6,7,1,8,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [7,8,3,4,1,5,2,6]=>[6,2,5,1,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,3,4,1,6,2,5]=>[5,2,6,1,4,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,8,3,4,1,7,2,5]=>[5,2,7,1,4,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,7,3,4,1,8,2,5]=>[5,2,8,1,4,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,8,3,4,1,7,2,6]=>[6,2,7,1,4,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,3,4,1,6,2,7]=>[7,2,6,1,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,3,4,1,5,2,7]=>[7,2,5,1,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,7,3,4,1,5,2,8]=>[8,2,5,1,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,8,3,4,1,7]=>[7,1,4,3,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,2,7,3,4,1,8]=>[8,1,4,3,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,8,3,5,1,7]=>[7,1,5,3,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,7,3,5,1,6,2,8]=>[8,2,6,1,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,3,5,1,6,2,7]=>[7,2,6,1,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,3,5,1,7,2,6]=>[6,2,7,1,5,3,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,7,3,5,1,8,2,6]=>[6,2,8,1,5,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,6,2,3,1,7,4,8]=>[8,4,7,1,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,4,1,8,3,7]=>[7,3,8,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,2,4,1,7,3,8]=>[8,3,7,1,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,5,1,7,3,8]=>[8,3,7,1,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,5,1,8,3,7]=>[7,3,8,1,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,1,8,3,7,2,6]=>[6,2,7,3,8,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,5,1,7,3,8,2,6]=>[6,2,8,3,7,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,6,2,7,3,8,1,5]=>[5,1,8,3,7,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,6,2,7,3,8,1,4]=>[4,1,8,3,7,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,2,7,4,8,1,3]=>[3,1,8,4,7,2,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,6,3,8,4,7,1,2]=>[2,1,7,4,8,3,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,6,2,8,4,7,1,3]=>[3,1,7,4,8,2,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,6,2,8,3,7,1,4]=>[4,1,7,3,8,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,6,2,8,3,7,1,5]=>[5,1,7,3,8,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,5,1,8,3,6,2,7]=>[7,2,6,3,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [10,2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [4,2,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [3,4,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [3,2,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,10]=>1 [6,5,3,2,1,4,8,7]=>[7,8,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,3,5,2,1,8,7]=>[7,8,1,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [6,8,2,4,5,7,3,1]=>[1,3,7,5,4,2,8,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [8,7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [3,6,1,4,5,2,8,7]=>[7,8,2,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [6,3,8,4,5,7,2,1]=>[1,2,7,5,4,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [5,8,7,4,3,6,2,1]=>[1,2,6,3,4,7,8,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,4,1,1]=>1 [2,8,7,4,3,6,1,5]=>[5,1,6,3,4,7,8,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [2,1,6,8,5,7,4,3]=>[3,4,7,5,8,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [6,8,3,5,1,7,4,2]=>[2,4,7,1,5,3,8,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [5,1,8,4,7,6,3,2]=>[2,3,6,7,4,8,1,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,3,1,1]=>2 [2,5,8,4,7,6,3,1]=>[1,3,6,7,4,8,5,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,3,1,1]=>1 [4,3,8,1,5,6,7,2]=>[2,7,6,5,1,8,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,8,1,3,5,6,7,2]=>[2,7,6,5,3,1,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>2 [5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,8,3,6,1,2,7,5]=>[5,7,2,1,6,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,7,4,1,6,2,5]=>[5,2,6,1,4,7,8,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [3,8,1,2,5,6,7,4]=>[4,7,6,5,2,1,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [2,8,7,4,5,1,3,6]=>[6,3,1,5,4,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [8,7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [5,8,3,6,2,4,7,1]=>[1,7,4,2,6,3,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [8,6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [5,8,3,6,2,1,7,4]=>[4,7,1,2,6,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,8,7,4,2,6,1,3]=>[3,1,6,2,4,7,8,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [2,6,8,4,5,7,1,3]=>[3,1,7,5,4,8,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,1,8,4,5,7,2,3]=>[3,2,7,5,4,8,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,8,3,5,1,7,2,4]=>[4,2,7,1,5,3,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,1,5,8,3,6,7,4]=>[4,7,6,3,8,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,8,3,6,1,2,7,4]=>[4,7,2,1,6,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,1,8,2,5,6,7,3]=>[3,7,6,5,2,8,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,4,8,1,5,6,7,3]=>[3,7,6,5,1,8,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,8,2,1,5,6,7,3]=>[3,7,6,5,1,2,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,4,8,2,5,6,7,1]=>[1,7,6,5,2,8,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,8,1,4,7,6,2,3]=>[3,2,6,7,4,1,8,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,8,3,1,6,2,7,4]=>[4,7,2,6,1,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,5,3,8,6,1,7,2]=>[2,7,1,6,8,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,4,1,8,5,6,7,2]=>[2,7,6,5,8,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [2,4,6,9,10,1,3,5,7,8]=>[8,7,5,3,1,10,9,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [2,4,7,8,10,1,3,5,6,9]=>[9,6,5,3,1,10,8,7,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [2,4,7,9,10,1,3,5,6,8]=>[8,6,5,3,1,10,9,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [2,5,6,8,10,1,3,4,7,9]=>[9,7,4,3,1,10,8,6,5,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [2,5,6,9,10,1,3,4,7,8]=>[8,7,4,3,1,10,9,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [2,5,7,8,10,1,3,4,6,9]=>[9,6,4,3,1,10,8,7,5,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [2,5,7,9,10,1,3,4,6,8]=>[8,6,4,3,1,10,9,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [2,6,7,8,10,1,3,4,5,9]=>[9,5,4,3,1,10,8,7,6,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [2,6,7,9,10,1,3,4,5,8]=>[8,5,4,3,1,10,9,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [2,7,8,9,10,1,3,4,5,6]=>[6,5,4,3,1,10,9,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[6,4]=>6 [3,4,6,8,10,1,2,5,7,9]=>[9,7,5,2,1,10,8,6,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [3,4,6,9,10,1,2,5,7,8]=>[8,7,5,2,1,10,9,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [3,4,7,8,10,1,2,5,6,9]=>[9,6,5,2,1,10,8,7,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [3,4,7,9,10,1,2,5,6,8]=>[8,6,5,2,1,10,9,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [3,5,6,8,10,1,2,4,7,9]=>[9,7,4,2,1,10,8,6,5,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [3,5,6,9,10,1,2,4,7,8]=>[8,7,4,2,1,10,9,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [3,5,7,8,10,1,2,4,6,9]=>[9,6,4,2,1,10,8,7,5,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [3,5,7,9,10,1,2,4,6,8]=>[8,6,4,2,1,10,9,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [3,6,7,8,10,1,2,4,5,9]=>[9,5,4,2,1,10,8,7,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [3,6,7,9,10,1,2,4,5,8]=>[8,5,4,2,1,10,9,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [3,7,8,9,10,1,2,4,5,6]=>[6,5,4,2,1,10,9,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[6,4]=>6 [4,5,6,8,10,1,2,3,7,9]=>[9,7,3,2,1,10,8,6,5,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [4,5,6,9,10,1,2,3,7,8]=>[8,7,3,2,1,10,9,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [4,5,7,8,10,1,2,3,6,9]=>[9,6,3,2,1,10,8,7,5,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [4,5,7,9,10,1,2,3,6,8]=>[8,6,3,2,1,10,9,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [4,6,7,8,10,1,2,3,5,9]=>[9,5,3,2,1,10,8,7,6,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [4,6,7,9,10,1,2,3,5,8]=>[8,5,3,2,1,10,9,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [4,7,8,9,10,1,2,3,5,6]=>[6,5,3,2,1,10,9,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[6,4]=>6 [5,6,7,8,10,1,2,3,4,9]=>[9,4,3,2,1,10,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [5,6,7,9,10,1,2,3,4,8]=>[8,4,3,2,1,10,9,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [5,7,8,9,10,1,2,3,4,6]=>[6,4,3,2,1,10,9,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[6,4]=>6 [4,5,7,6,2,3,8,1]=>[1,8,3,2,6,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,7,2,6,4,8,1]=>[1,8,4,6,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,7,3,6,4,8,1]=>[1,8,4,6,3,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,5,7,3,6,8,4,2]=>[2,4,8,6,3,7,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [8,4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4,8]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [6,7,2,3,5,4,8,1]=>[1,8,4,5,3,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,7,3,6,4,8,1]=>[1,8,4,6,3,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3,8]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [8,2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2,8]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>3 [3,1,4,7,6,8,5,2]=>[2,5,8,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,1,3,7,6,8,5,2]=>[2,5,8,6,7,3,1,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,1,7,3,6,8,4,2]=>[2,4,8,6,3,7,1,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,7,1,3,5,8,4,2]=>[2,4,8,5,3,1,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,8,7,3,6,1,4,2]=>[2,4,1,6,3,7,8,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [4,8,3,7,6,1,5,2]=>[2,5,1,6,7,3,8,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>2 [3,8,4,7,6,1,5,2]=>[2,5,1,6,7,4,8,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>2 [2,8,4,7,1,6,5,3]=>[3,5,6,1,7,4,8,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [8,1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1,8]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>3 [8,1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1]=>4 [2,8,3,1,7,6,5,4]=>[4,5,6,7,1,3,8,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>4 [3,8,2,1,7,6,5,4]=>[4,5,6,7,1,2,8,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>4 [6,7,1,2,8,5,4,3]=>[3,4,5,8,2,1,7,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [8,2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1]=>4 [8,3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1]=>4 [3,4,1,7,6,8,5,2]=>[2,5,8,6,7,1,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,4,2,7,8,6,5,3]=>[3,5,6,8,7,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [8,4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4,8]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>3 [8,5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5,8]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [1,5,7,2,8,6,4,3]=>[3,4,6,8,2,7,5,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [2,5,7,1,8,6,4,3]=>[3,4,6,8,1,7,5,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [3,5,7,1,6,8,4,2]=>[2,4,8,6,1,7,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,7,4,5,8,1,3,2]=>[2,3,1,8,5,4,7,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,4,7,6,8,1,3,2]=>[2,3,1,8,6,7,4,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [2,5,7,8,1,6,4,3]=>[3,4,6,1,8,7,5,2]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [1,5,7,8,2,6,4,3]=>[3,4,6,2,8,7,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [8,5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5,8]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [8,4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4,8]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>3 [1,4,8,7,2,6,5,3]=>[3,5,6,2,7,8,4,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [3,4,8,7,6,1,5,2]=>[2,5,1,6,7,8,4,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [4,3,8,7,6,1,5,2]=>[2,5,1,6,7,8,3,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [5,3,7,8,6,1,4,2]=>[2,4,1,6,8,7,3,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [6,7,2,8,1,5,4,3]=>[3,4,5,1,8,2,7,6]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [5,2,7,8,1,6,4,3]=>[3,4,6,1,8,7,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [4,2,8,7,1,6,5,3]=>[3,5,6,1,7,8,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [3,2,8,1,7,6,5,4]=>[4,5,6,7,1,8,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1]=>4 [1,3,8,2,7,6,5,4]=>[4,5,6,7,2,8,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1]=>4 [8,3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1]=>4 [8,2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1]=>4 [1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1]=>4 [2,1,8,3,7,6,5,4]=>[4,5,6,7,3,8,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1]=>4 [5,1,7,8,2,6,4,3]=>[3,4,6,2,8,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [6,7,1,8,2,5,4,3]=>[3,4,5,2,8,1,7,6]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [5,8,7,1,2,6,4,3]=>[3,4,6,2,1,7,8,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [4,8,1,7,2,6,5,3]=>[3,5,6,2,7,1,8,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [3,8,1,2,7,6,5,4]=>[4,5,6,7,2,1,8,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>4 [2,8,1,3,7,6,5,4]=>[4,5,6,7,3,1,8,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>4 [1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>4 [8,1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1,8]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1]=>4 [3,1,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [2,3,4,5,6,7,8,9,11,1,10]=>[10,1,11,9,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[10,1]=>10 [10,3,4,5,6,7,8,1,2,9]=>[9,2,1,8,7,6,5,4,3,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [11,3,4,5,6,7,8,9,1,2,10]=>[10,2,1,9,8,7,6,5,4,3,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1]=>10 [2,10,4,5,6,7,8,1,3,9]=>[9,3,1,8,7,6,5,4,10,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [8,3,4,5,6,7,1,10,2,9]=>[9,2,10,1,7,6,5,4,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [9,1,4,5,6,7,8,2,10,3]=>[3,10,2,8,7,6,5,4,1,9]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,7]=>3 [6,7,1,8,4,5,2,3]=>[3,2,5,4,8,1,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [3,7,1,5,8,2,6,4]=>[4,6,2,8,5,1,7,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,6,5,1,8,3,7,4]=>[4,7,3,8,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,6,5,1,8,2,7,4]=>[4,7,2,8,1,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,6,5,1,8,7,2,3]=>[3,2,7,8,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,6,4,1,8,7,2,3]=>[3,2,7,8,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [8,1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [6,4,5,1,8,7,2,3]=>[3,2,7,8,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,4,6,1,8,7,2,3]=>[3,2,7,8,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,5,6,1,8,7,2,3]=>[3,2,7,8,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [3,5,6,1,8,2,7,4]=>[4,7,2,8,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,5,6,1,8,3,7,4]=>[4,7,3,8,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,4,6,1,3,8,7,5]=>[5,7,8,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,4,6,1,2,8,7,5]=>[5,7,8,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,3,6,1,2,8,7,5]=>[5,7,8,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [5,3,6,1,8,2,7,4]=>[4,7,2,8,1,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [7,3,1,5,8,2,6,4]=>[4,6,2,8,5,1,3,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [7,2,1,5,8,3,6,4]=>[4,6,3,8,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,2,5,1,8,3,7,4]=>[4,7,3,8,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,2,6,1,3,8,7,5]=>[5,7,8,3,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,3,6,1,4,8,7,5]=>[5,7,8,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,2,5,3,1,8,7,6]=>[6,7,8,1,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [6,2,4,1,3,8,7,5]=>[5,7,8,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,2,1,4,3,8,6,5]=>[5,6,8,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [8,1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [7,3,1,4,2,8,6,5]=>[5,6,8,2,4,1,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [6,3,4,1,2,8,7,5]=>[5,7,8,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,6,3,1,2,8,7,5]=>[5,7,8,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,6,4,1,2,8,7,5]=>[5,7,8,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,6,4,1,3,8,7,5]=>[5,7,8,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,7,1,4,3,8,6,5]=>[5,6,8,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,7,1,4,2,8,6,5]=>[5,6,8,2,4,1,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [4,7,1,3,2,8,6,5]=>[5,6,8,2,3,1,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [8,1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [4,7,1,2,3,8,6,5]=>[5,6,8,3,2,1,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,7,1,2,4,8,6,5]=>[5,6,8,4,2,1,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,7,1,3,4,8,6,5]=>[5,6,8,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,6,3,1,4,8,7,5]=>[5,7,8,4,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,6,2,1,4,8,7,5]=>[5,7,8,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [5,6,2,1,8,3,7,4]=>[4,7,3,8,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,5,2,1,8,3,7,4]=>[4,7,3,8,1,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [7,4,1,2,3,8,6,5]=>[5,6,8,3,2,1,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [6,4,2,1,3,8,7,5]=>[5,7,8,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [5,4,2,3,1,8,7,6]=>[6,7,8,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,5,2,4,1,8,7,6]=>[6,7,8,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [6,3,2,1,4,8,7,5]=>[5,7,8,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,3,1,2,4,8,6,5]=>[5,6,8,4,2,1,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [8,1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [7,2,1,3,4,8,6,5]=>[5,6,8,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [6,2,3,1,4,8,7,5]=>[5,7,8,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,4,3,6,1,5,8,7]=>[7,8,5,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,3,6,5,8,1,7]=>[7,1,8,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,3,5,8,7,1]=>[1,7,8,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,4,6,3,5,8,1,7]=>[7,1,8,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,3,5,1,8,7]=>[7,8,1,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,3,1,5,8,7]=>[7,8,5,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,6,5,3,8,7]=>[7,8,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,1,5,3,8,7]=>[7,8,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,6,5,3,1,8,7]=>[7,8,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,6,5,1,3,8,7]=>[7,8,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,6,5,1,8,7,3]=>[3,7,8,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,2,6,5,8,1,7,3]=>[3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,2,6,5,8,1,3,7]=>[7,3,1,8,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,6,1,5,8,3,7]=>[7,3,8,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,6,5,8,3,7]=>[7,3,8,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,6,5,8,3,7]=>[7,3,8,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,6,5,8,7,3]=>[3,7,8,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,4,6,1,5,8,7,3]=>[3,7,8,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,2,6,5,3,8,7,1]=>[1,7,8,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [4,2,6,5,8,3,7,1]=>[1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,6,4,3,8,7,5,1]=>[1,5,7,8,3,4,6,2]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [4,2,6,8,5,3,7,1]=>[1,7,3,5,8,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,4,6,8,1,5,7,3]=>[3,7,5,1,8,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,4,6,1,8,5,7,3]=>[3,7,5,8,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,4,1,6,8,5,7,3]=>[3,7,5,8,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,1,4,6,8,5,7,3]=>[3,7,5,8,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,1,4,6,8,5,3,7]=>[7,3,5,8,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,1,6,8,5,3,7]=>[7,3,5,8,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,6,1,8,5,3,7]=>[7,3,5,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,6,8,1,5,3,7]=>[7,3,5,1,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,6,8,5,3,1,7]=>[7,1,3,5,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,6,8,5,1,3,7]=>[7,3,1,5,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,6,8,3,5,7,1]=>[1,7,5,3,8,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,4,6,8,3,5,1,7]=>[7,1,5,3,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,6,8,3,1,5,7]=>[7,5,1,3,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,6,3,1,8,5,7]=>[7,5,8,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,3,8,1,5,7]=>[7,5,1,8,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,6,3,8,5,1,7]=>[7,1,5,8,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,6,3,8,5,7,1]=>[1,7,5,8,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,4,3,6,8,5,7,1]=>[1,7,5,8,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,4,3,6,8,5,1,7]=>[7,1,5,8,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,3,6,8,1,5,7]=>[7,5,1,8,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,3,6,1,8,5,7]=>[7,5,8,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,3,1,6,8,5,7]=>[7,5,8,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,1,3,6,8,7,5]=>[5,7,8,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,4,3,6,1,8,7,5]=>[5,7,8,1,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,4,3,6,8,1,7,5]=>[5,7,1,8,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,6,5,2,8,7,3,1]=>[1,3,7,8,2,5,6,4]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [4,6,5,2,8,7,1,3]=>[3,1,7,8,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,6,2,5,8,7,1,3]=>[3,1,7,8,5,2,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,6,2,5,8,7,3,1]=>[1,3,7,8,5,2,6,4]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [2,4,6,3,8,1,7,5]=>[5,7,1,8,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,6,3,1,8,7,5]=>[5,7,8,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,4,1,6,3,8,7,5]=>[5,7,8,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,1,4,6,3,8,7,5]=>[5,7,8,3,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,1,4,6,8,3,7,5]=>[5,7,3,8,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,1,6,8,3,7,5]=>[5,7,3,8,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,6,1,8,3,7,5]=>[5,7,3,8,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,6,8,1,3,7,5]=>[5,7,3,1,8,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,6,8,3,1,7,5]=>[5,7,1,3,8,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,6,2,8,5,7,3,1]=>[1,3,7,5,8,2,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [4,6,2,8,5,7,1,3]=>[3,1,7,5,8,2,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,2,4,8,7,1,3,5]=>[5,3,1,7,8,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,2,8,7,5,3,1]=>[1,3,5,7,8,2,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,2,2,1]=>1 [2,6,4,8,1,7,5,3]=>[3,5,7,1,8,4,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [2,6,4,1,8,7,5,3]=>[3,5,7,8,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [2,6,1,4,8,7,5,3]=>[3,5,7,8,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [2,1,6,4,8,7,5,3]=>[3,5,7,8,4,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [2,1,6,4,8,7,3,5]=>[5,3,7,8,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,6,4,8,1,7,3,5]=>[5,3,7,1,8,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,2,8,7,5,1,3]=>[3,1,5,7,8,2,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [6,2,4,8,7,3,5,1]=>[1,5,3,7,8,4,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [6,2,4,8,7,3,1,5]=>[5,1,3,7,8,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [1,6,4,7,3,8,2,5]=>[5,2,8,3,7,4,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,3,7,4,5,8,2,6]=>[6,2,8,5,4,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,2,4,7,3,6,8,1]=>[1,8,6,3,7,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,7,6,3,4,8,2,5]=>[5,2,8,4,3,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [7,1,6,3,8,2,4,5]=>[5,4,2,8,3,6,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,2,7,4,8,3,5,6]=>[6,5,3,8,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,1,7,3,4,8,2,5]=>[5,2,8,4,3,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,1,7,4,5,8,3,6]=>[6,3,8,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,1,4,7,3,8,2,6]=>[6,2,8,3,7,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,3,1,7,5,8,2,6]=>[6,2,8,5,7,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,8,6,3,7,1,4,5]=>[5,4,1,7,3,6,8,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,1,3,7,2,4,5]=>[5,4,2,7,3,1,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [5,8,2,1,7,3,4,6]=>[6,4,3,7,1,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [5,7,2,1,8,3,4,6]=>[6,4,3,8,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,7,1,3,8,2,4,5]=>[5,4,2,8,3,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,1,2,4,8,3,6,7]=>[7,6,3,8,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,6,1,5,8,2,7]=>[7,2,8,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,1,4,5,8,3,7]=>[7,3,8,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,1,3,4,8,2,7]=>[7,2,8,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,2,4,8,3,5,7]=>[7,5,3,8,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,2,1,5,8,3,7]=>[7,3,8,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,3,4,1,8,6,7]=>[7,6,8,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,2,1,8,6,7]=>[7,6,8,1,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,8,7,1,3,5]=>[5,3,1,7,8,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [1,6,4,8,7,2,3,5]=>[5,3,2,7,8,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [2,7,8,3,6,1,4,5]=>[5,4,1,6,3,8,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,3,2,8,7,1,5,6]=>[6,5,1,7,8,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,2,4,8,7,1,3,6]=>[6,3,1,7,8,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [6,2,8,3,7,1,4,5]=>[5,4,1,7,3,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [5,1,4,8,7,2,3,6]=>[6,3,2,7,8,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,8,2,5,1,3,7,6]=>[6,7,3,1,5,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,7,2,5,1,3,8,6]=>[6,8,3,1,5,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,2,1,5,4,8,6]=>[6,8,4,5,1,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,8,2,1,5,4,7,6]=>[6,7,4,5,1,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,8,2,1,4,5,7,6]=>[6,7,5,4,1,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,7,2,1,4,5,8,6]=>[6,8,5,4,1,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,7,1,4,6,8,5]=>[5,8,6,4,1,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,8,1,4,6,7,5]=>[5,7,6,4,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,2,8,1,4,7,6,5]=>[5,6,7,4,1,8,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,8,2,1,4,7,5,6]=>[6,5,7,4,1,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,8,2,1,5,7,4,6]=>[6,4,7,5,1,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,2,5,1,7,3,6]=>[6,3,7,1,5,2,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,7,2,1,5,8,4,6]=>[6,4,8,5,1,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,7,2,1,4,8,5,6]=>[6,5,8,4,1,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,2,1,7,5,8,6,4]=>[4,6,8,5,7,1,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,2,7,1,6,8,4,5]=>[5,4,8,6,1,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,2,7,6,1,8,3,5]=>[5,3,8,1,6,7,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,7,6,8,1,2,5]=>[5,2,1,8,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,3,8,6,7,1,2,5]=>[5,2,1,7,6,8,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [4,2,8,6,1,7,3,5]=>[5,3,7,1,6,8,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,2,8,1,6,7,4,5]=>[5,4,7,6,1,8,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,2,1,8,7,5,6,4]=>[4,6,5,7,8,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,2,8,1,7,4,6,5]=>[5,6,4,7,1,8,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,2,8,1,6,4,7,5]=>[5,7,4,6,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,2,7,1,6,4,8,5]=>[5,8,4,6,1,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,7,6,1,3,8,5]=>[5,8,3,1,6,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,8,6,1,3,7,5]=>[5,7,3,1,6,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,2,8,7,1,3,6,5]=>[5,6,3,1,7,8,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [5,7,8,3,4,1,2,6]=>[6,2,1,4,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,2,7,8,1,3,6,5]=>[5,6,3,1,8,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,2,6,7,1,3,8,5]=>[5,8,3,1,7,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,6,1,8,4,7,5]=>[5,7,4,8,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,7,2,1,8,4,5,6]=>[6,5,4,8,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,2,1,8,5,4,6]=>[6,4,5,8,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,3,8,5,1,2,6]=>[6,2,1,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,3,7,8,6,1,2,5]=>[5,2,1,6,8,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,2,7,1,8,6,4,5]=>[5,4,6,8,1,7,2,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,2,1,6,8,5,7,4]=>[4,7,5,8,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,2,6,1,8,7,4,5]=>[5,4,7,8,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,2,6,8,1,7,3,5]=>[5,3,7,1,8,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,3,6,8,7,1,2,5]=>[5,2,1,7,8,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [4,2,6,7,1,8,3,5]=>[5,3,8,1,7,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,2,6,1,7,8,4,5]=>[5,4,8,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,4,6,8,7,5,1,2]=>[2,1,5,7,8,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [5,3,6,4,8,7,1,2]=>[2,1,7,8,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,4,6,2,7,8,5,3]=>[3,5,8,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [3,1,8,5,4,2,6,7]=>[7,6,2,4,5,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,7,5,4,8,6,3]=>[3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [6,3,7,5,4,8,1,2]=>[2,1,8,4,5,7,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,3,8,5,4,6,1,2]=>[2,1,6,4,5,8,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [3,8,7,5,4,6,1,2]=>[2,1,6,4,5,7,8,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [4,3,6,7,8,5,1,2]=>[2,1,5,8,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,5,6,3,8,7,1,2]=>[2,1,7,8,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,6,8,5,4,7,1,2]=>[2,1,7,4,5,8,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,8,3,5,4,7,1,2]=>[2,1,7,4,5,3,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [7,6,3,5,4,8,1,2]=>[2,1,8,4,5,3,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [1,6,2,5,4,8,7,3]=>[3,7,8,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [7,1,2,5,8,3,6,4]=>[4,6,3,8,5,2,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,8,2,5,7,3,6,4]=>[4,6,3,7,5,2,8,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,1,6,2,8,7,5,3]=>[3,5,7,8,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [7,8,1,2,4,6,5,3]=>[3,5,6,4,2,1,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [7,8,3,1,4,2,6,5]=>[5,6,2,4,1,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [4,3,6,1,8,2,7,5]=>[5,7,2,8,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,8,1,5,2,3,7,6]=>[6,7,3,2,5,1,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,5,1,6,4,3,2,8]=>[8,2,3,4,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,1,6,4,3,2,7]=>[7,2,3,4,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,5,7,4,3,2,8]=>[8,2,3,4,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,8,6,4,3,2,7]=>[7,2,3,4,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,4,6,1,5,8,2,7]=>[7,2,8,5,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,8,4,1,5,3,2,6]=>[6,2,3,5,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,5,1,6,3,2,4]=>[4,2,3,6,1,5,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [2,6,1,5,7,3,8,4]=>[4,8,3,7,5,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,8,7,4,3,2,5]=>[5,2,3,4,7,8,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [6,8,1,7,4,3,2,5]=>[5,2,3,4,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [5,6,1,7,4,3,2,8]=>[8,2,3,4,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,7,6,4,3,2,8]=>[8,2,3,4,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,8,4,3,2,5]=>[5,2,3,4,8,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,1,8,6,4,3,2,5]=>[5,2,3,4,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [2,1,7,5,6,3,8,4]=>[4,8,3,6,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,6,7,5,8,2,4]=>[4,2,8,5,7,6,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,8,1,6,5,3,2,4]=>[4,2,3,5,6,1,8,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,2,1,4,5,6,3]=>[3,6,5,4,1,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [2,8,1,5,4,6,7,3]=>[3,7,6,4,5,1,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,2,1,5,4,6,8,3]=>[3,8,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,8,5,6,3,7,4]=>[4,7,3,6,5,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,1,2,5,7,3,8,4]=>[4,8,3,7,5,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,1,5,6,3,7,8]=>[8,7,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,1,5,7,2,8]=>[8,2,7,5,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,3,7,8,2,4]=>[4,2,8,7,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,3,6,8,5,7,2,4]=>[4,2,7,5,8,6,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,4,6,3,7,1,8,5]=>[5,8,1,7,3,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,6,4,8,7,2,5]=>[5,2,7,8,4,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,1,6,7,3,8,2,5]=>[5,2,8,3,7,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,6,1,3,7,2,8]=>[8,2,7,3,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,5,2,3,7,8]=>[8,7,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,7,5,2,3,8,6]=>[6,8,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,4,5,8,3,7,6]=>[6,7,3,8,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [7,2,3,5,4,1,8,6]=>[6,8,1,4,5,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,8,3,5,4,1,7,6]=>[6,7,1,4,5,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,2,6,3,8,1,7,5]=>[5,7,1,8,3,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,8,2,3,4,1,6,5]=>[5,6,1,4,3,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,1,4,6,3,2,5]=>[5,2,3,6,4,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [3,1,6,4,7,8,2,5]=>[5,2,8,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,8,5,7,4,3,2,6]=>[6,2,3,4,7,5,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [7,1,5,8,4,3,2,6]=>[6,2,3,4,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,1,8,7,4,3,2,6]=>[6,2,3,4,7,8,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [6,5,1,8,4,3,2,7]=>[7,2,3,4,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,7,1,4,3,2,8]=>[8,2,3,4,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,8,1,4,3,2,6]=>[6,2,3,4,1,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,8,7,1,4,3,2,6]=>[6,2,3,4,1,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,5,7,8,4,3,2,6]=>[6,2,3,4,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,4,7,5,1,3,8,6]=>[6,8,3,1,5,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,8,4,6,1,3,2,5]=>[5,2,3,1,6,4,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,5,4,1,3,2,6]=>[6,2,3,1,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [3,5,6,4,1,8,2,7]=>[7,2,8,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,5,1,3,8,7]=>[7,8,3,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,6,5,8,4,3,2,7]=>[7,2,3,4,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,8,5,1,4,3,2,7]=>[7,2,3,4,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [1,2,3,4,5,8,6,9,7]=>[7,9,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [1,2,3,4,7,5,8,9,6]=>[6,9,8,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [1,2,3,6,4,7,8,9,5]=>[5,9,8,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>5 [1,2,5,3,6,7,8,9,4]=>[4,9,8,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,5]=>4 [1,4,2,5,6,7,8,9,3]=>[3,9,8,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1]=>7 [7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,3]=>6 [9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,1,1]=>6 [6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4]=>5 [9,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,9]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,3,1]=>5 [9,8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[5,2,1,1]=>5 [9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [9,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,9]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[4,4,1]=>4 [8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[4,3,2]=>4 [9,8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8,9]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[4,3,1,1]=>4 [9,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,9]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,2,2,1]=>4 [9,8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8,9]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[4,2,1,1,1]=>4 [9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3,3]=>3 [9,8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8,9]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[3,3,1,1,1]=>3 [8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,2,2]=>3 [9,8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8,9]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,1,1,1]=>3 [9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>3 [9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,2,2,2,1]=>2 [9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>2 [9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>2 [9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,2]=>8 [8,9,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,3]=>7 [10,8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[7,2,1]=>7 [10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,1,1,1]=>7 [7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,4]=>6 [10,7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[6,3,1]=>6 [10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,1,1,1,1]=>6 [10,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,10]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[5,4,1]=>5 [10,8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8,10]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[5,2,2,1]=>5 [10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1,1]=>5 [9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4,2]=>4 [10,9,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,9,10]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[4,4,1,1]=>4 [8,9,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,9,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,3,3]=>4 [9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,2,2,2]=>4 [10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1,1]=>4 [9,10,7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7,10,9]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,3,2,2]=>3 [10,8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8,10]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,2,2,1]=>3 [10,9,8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8,9,10]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,1,1,1,1]=>3 [10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>3 [9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2,2]=>2 [10,9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9,10]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1,1]=>2 [10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>2 [3,4,6,2,7,1,5,8]=>[8,5,1,7,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,5,4,1,7,8]=>[8,7,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,5,4,1,6,8]=>[8,6,1,4,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,2,8,1,5,7]=>[7,5,1,8,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,2,4,5,1,3,7,8]=>[8,7,3,1,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,8,5,1,3,7,6]=>[6,7,3,1,5,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,6,8,1,7,2,5]=>[5,2,7,1,8,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,3,6,4,1,7,2,8]=>[8,2,7,1,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,5,8,3,7,4]=>[4,7,3,8,5,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,6,7,4,8,3,5,2]=>[2,5,3,8,4,7,6,1]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [1,4,6,3,7,5,8,2]=>[2,8,5,7,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,7,2,5,8,1,3]=>[3,1,8,5,2,7,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,4,6,1,7,5,3,8]=>[8,3,5,7,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,4,1,6,3,8]=>[8,3,6,1,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,6,2,8,1,3]=>[3,1,8,2,6,4,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,7,5,4,3,8,6,2]=>[2,6,8,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,4,6,3,5,8,7,2]=>[2,7,8,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,5,8,4,3,6,7,2]=>[2,7,6,3,4,8,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,4,6,2,7,8,1,3]=>[3,1,8,7,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,5,4,1,6,7,3,8]=>[8,3,7,6,1,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,2,7,1,4,8]=>[8,4,1,7,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,2,7,1,8,4]=>[4,8,1,7,2,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,4,6,2,8,1,7,3]=>[3,7,1,8,2,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,4,1,7,8,5,3,6]=>[6,3,5,8,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,4,1,6,3,8,7]=>[7,8,3,6,1,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,3,2,1,8,4,7]=>[7,4,8,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,5,2,1,6,4,7,8]=>[8,7,4,6,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,4,3,2,1,5,7]=>[7,5,1,2,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,3,8,2,1,6,4,7]=>[7,4,6,1,2,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,7,5,8,2,1,4,6]=>[6,4,1,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,3,2,8,5,1,6,4]=>[4,6,1,5,8,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,6,4,3,2,1,8,5]=>[5,8,1,2,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,8,4,3,2,1,6,5]=>[5,6,1,2,3,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [5,4,7,2,1,8,6,3]=>[3,6,8,1,2,7,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,5,8,3,2,6,1,4]=>[4,1,6,2,3,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,7,3,2,1,6,8,4]=>[4,8,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,7,3,2,1,6,4,8]=>[8,4,6,1,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,7,2,5,1,8,4]=>[4,8,1,5,2,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,7,8,3,5,2,1,4]=>[4,1,2,5,3,8,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,2,5,7,8,4,1,3]=>[3,1,4,8,7,5,2,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [2,1,5,7,8,6,3,4]=>[4,3,6,8,7,5,1,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,6,7,2,8,1,4,5]=>[5,4,1,8,2,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,3,7,2,8,1,4,5]=>[5,4,1,8,2,7,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,2,6,1,7,4,5,8]=>[8,5,4,7,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,1,4,7,6,8]=>[8,6,7,4,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,2,1,8,4,6]=>[6,4,8,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,4,1,3,7,8,6]=>[6,8,7,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,5,8,4,1,3,7,6]=>[6,7,3,1,4,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,4,1,7,8,3,6,5]=>[5,6,3,8,7,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,7,2,8,6,1,4,5]=>[5,4,1,6,8,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,6,8,2,1,7,4,5]=>[5,4,7,1,2,8,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,3,8,2,1,4,7,6]=>[6,7,4,1,2,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,8,7,3,2,1,5,6]=>[6,5,1,2,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,7,3,2,1,5,6,8]=>[8,6,5,1,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,3,2,8,6,1,4,5]=>[5,4,1,6,8,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,5,2,1,4,6,8,7]=>[7,8,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,8,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,1,2]=>2 [8,9,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,6,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,8,7,5,4,3,2,1,9]=>[9,1,2,3,4,5,7,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,8,7,9,6,5,4,3,2]=>[2,3,4,5,6,9,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,1,3]=>2 [1,7,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,1,1,2,1]=>2 [1,9,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,1,1,2]=>2 [7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,3,1,2,1]=>1 [5,4,1,6,3,2,8,7]=>[7,8,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,1,6,2,3,8,7]=>[7,8,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,7,1,6,2,8,3,4]=>[4,3,8,2,6,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,1,6,2,8,4,3]=>[3,4,8,2,6,1,7,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,7,6,5,1,8,3,4]=>[4,3,8,1,5,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,7,6,5,1,8,4,3]=>[3,4,8,1,5,6,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,3,6,5,1,4,8,7]=>[7,8,4,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,6,4,1,5,8,7]=>[7,8,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,3,6,1,5,4,8,7]=>[7,8,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,7,6,1,4,8,5,3]=>[3,5,8,4,1,6,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,7,6,1,4,8,3,5]=>[5,3,8,4,1,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,3,5,1,8,4,2,6]=>[6,2,4,8,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,3,5,1,8,6,4,2]=>[2,4,6,8,1,5,3,7]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [2,7,6,1,5,8,4,3]=>[3,4,8,5,1,6,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,7,6,4,1,8,5,3]=>[3,5,8,1,4,6,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,1,7,6,3,8,5,4]=>[4,5,8,3,6,7,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,1,7,6,3,8,4,5]=>[5,4,8,3,6,7,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,7,3,6,2,8,4,1]=>[1,4,8,2,6,3,7,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,7,6,4,1,8,3,5]=>[5,3,8,1,4,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,3,5,1,8,6,2,4]=>[4,2,6,8,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,3,5,1,8,2,4,7]=>[7,4,2,8,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,4,8,7,6,1,5]=>[5,1,6,7,8,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,3,4,8,5,7,1,6]=>[6,1,7,5,8,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,3,5,4,8,1,2,6]=>[6,2,1,8,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,4,3,5,8,7,2,1]=>[1,2,7,8,5,3,4,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [2,1,4,5,8,7,3,6]=>[6,3,7,8,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,4,3,5,8,7,1,2]=>[2,1,7,8,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [7,3,5,4,8,1,6,2]=>[2,6,1,8,4,5,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [2,3,4,8,7,5,6,1]=>[1,6,5,7,8,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [2,3,4,8,7,5,1,6]=>[6,1,5,7,8,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,7,6,5,4,8,1,3]=>[3,1,8,4,5,6,7,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,3,5,6,8,4,1,2]=>[2,1,4,8,6,5,3,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,3,5,6,8,1,4,2]=>[2,4,1,8,6,5,3,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,3,5,6,8,1,2,4]=>[4,2,1,8,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,4,1,5,8,7,2,3]=>[3,2,7,8,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,4,1,5,8,7,3,2]=>[2,3,7,8,5,1,4,6]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [6,4,1,5,8,3,7,2]=>[2,7,3,8,5,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,7,1,6,3,8,2,4]=>[4,2,8,3,6,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,4,1,5,8,3,2,7]=>[7,2,3,8,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,4,1,5,8,2,3,6]=>[6,3,2,8,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,1,5,8,2,6,3]=>[3,6,2,8,5,1,4,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [6,3,5,7,8,2,1,4]=>[4,1,2,8,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,3,5,7,8,2,4,1]=>[1,4,2,8,7,5,3,6]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [2,7,6,4,5,8,3,1]=>[1,3,8,5,4,6,7,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,7,3,6,1,8,4,2]=>[2,4,8,1,6,3,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [2,1,4,5,8,6,3,7]=>[7,3,6,8,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,5,4,8,6,2,1]=>[1,2,6,8,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [2,3,4,8,5,6,1,7]=>[7,1,6,5,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,4,8,7,1,6,5]=>[5,6,1,7,8,4,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,3,4,8,1,7,6,5]=>[5,6,7,1,8,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,3,4,8,1,6,7,5]=>[5,7,6,1,8,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,3,4,8,5,1,7,6]=>[6,7,1,5,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,3,5,4,8,2,7,1]=>[1,7,2,8,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [7,4,3,5,8,2,1,6]=>[6,1,2,8,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,1,4,5,8,3,7,6]=>[6,7,3,8,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [7,4,3,5,8,2,6,1]=>[1,6,2,8,5,3,4,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [6,3,5,4,8,2,1,7]=>[7,1,2,8,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,4,8,5,1,6,7]=>[7,6,1,5,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,4,8,1,6,5,7]=>[7,5,6,1,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,4,8,1,5,7,6]=>[6,7,5,1,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,8,2,6,1,5,3,4]=>[4,3,5,1,6,2,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [1,8,5,7,2,6,3,4]=>[4,3,6,2,7,5,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [5,8,1,7,2,6,3,4]=>[4,3,6,2,7,1,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [5,8,2,7,1,6,3,4]=>[4,3,6,1,7,2,8,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [2,8,6,7,1,5,3,4]=>[4,3,5,1,7,6,8,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [2,8,5,7,1,6,3,4]=>[4,3,6,1,7,5,8,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [2,8,1,7,5,6,3,4]=>[4,3,6,5,7,1,8,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [1,8,2,7,4,6,3,5]=>[5,3,6,4,7,2,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,1,7,4,6,3,5]=>[5,3,6,4,7,1,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,4,7,1,6,3,5]=>[5,3,6,1,7,4,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,2,7,1,6,3,5]=>[5,3,6,1,7,2,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,1,7,2,6,3,5]=>[5,3,6,2,7,1,8,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [1,8,4,7,2,6,3,5]=>[5,3,6,2,7,4,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,1,7,5,6,2,3]=>[3,2,6,5,7,1,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [1,8,4,7,5,6,2,3]=>[3,2,6,5,7,4,8,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [1,8,3,7,5,6,2,4]=>[4,2,6,5,7,3,8,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [3,8,1,7,5,6,2,4]=>[4,2,6,5,7,1,8,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [3,8,1,7,4,6,2,5]=>[5,2,6,4,7,1,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [1,8,3,7,4,6,2,5]=>[5,2,6,4,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [1,8,3,7,2,6,4,5]=>[5,4,6,2,7,3,8,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [3,8,2,7,1,6,4,5]=>[5,4,6,1,7,2,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [3,8,2,7,4,6,1,5]=>[5,1,6,4,7,2,8,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [3,8,2,7,5,6,1,4]=>[4,1,6,5,7,2,8,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [4,8,2,7,5,6,1,3]=>[3,1,6,5,7,2,8,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [4,8,3,7,5,6,1,2]=>[2,1,6,5,7,3,8,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [3,8,4,7,5,6,1,2]=>[2,1,6,5,7,4,8,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [2,8,4,7,5,6,1,3]=>[3,1,6,5,7,4,8,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [2,8,3,7,4,6,1,5]=>[5,1,6,4,7,3,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,3,7,1,6,4,5]=>[5,4,6,1,7,3,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,1,7,3,6,4,5]=>[5,4,6,3,7,1,8,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [7,5,2,8,6,4,1,3]=>[3,1,4,6,8,2,5,7]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [7,5,1,8,6,2,3,4]=>[4,3,2,6,8,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,4,8,6,1,5,2,3]=>[3,2,5,1,6,8,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,1,8,4,5,2,6,3]=>[3,6,2,5,4,8,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [6,8,1,7,4,2,5,3]=>[3,5,2,4,7,1,8,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [1,6,7,4,2,8,5,3]=>[3,5,8,2,4,7,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [1,6,7,3,8,5,2,4]=>[4,2,5,8,3,7,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,1,8,3,5,6,2,4]=>[4,2,6,5,3,8,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,3,8,6,2,5,1,4]=>[4,1,5,2,6,8,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,4,2,8,6,1,3,5]=>[5,3,1,6,8,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,3,1,8,4,2,5,6]=>[6,5,2,4,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,8,4,1,5,3,6]=>[6,3,5,1,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,2,8,3,5,1,6,4]=>[4,6,1,5,3,8,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,2,8,3,4,6,1,5]=>[5,1,6,4,3,8,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,2,3,8,5,7,4,1]=>[1,4,7,5,8,3,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [6,2,4,8,5,3,1,7]=>[7,1,3,5,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,1,4,8,5,2,7]=>[7,2,5,8,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,6,3,7,8,5,4,1]=>[1,4,5,8,7,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [2,6,3,7,8,4,5,1]=>[1,5,4,8,7,3,6,2]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [2,4,7,3,5,6,8,1]=>[1,8,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,7,3,6,8,5,1]=>[1,5,8,6,3,7,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [2,5,3,7,8,1,6,4]=>[4,6,1,8,7,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,1,5,4,7,8,2,6]=>[6,2,8,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,3,1,4,8,2,6,7]=>[7,6,2,8,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,4,8,6,1,3,7]=>[7,3,1,6,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,3,8,4,6,7,1]=>[1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,8,2,3,6,1,7,5]=>[5,7,1,6,3,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,8,2,3,5,7,1,6]=>[6,1,7,5,3,2,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,4,7,8,3,6,2,5]=>[5,2,6,3,8,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,8,1,3,6,7,2,5]=>[5,2,7,6,3,1,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,3,8,2,4,7,1,6]=>[6,1,7,4,2,8,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,4,3,8,1,2,7,6]=>[6,7,2,1,8,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,4,2,8,1,3,7,5]=>[5,7,3,1,8,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,3,8,2,5,1,7,4]=>[4,7,1,5,2,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,3,8,1,4,7,2,5]=>[5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,8,1,3,6,2,7,4]=>[4,7,2,6,3,1,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,5,7,4,2,6,8,3]=>[3,8,6,2,4,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,8,1,4,2,6,3,7]=>[7,3,6,2,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,4,1,2,7,6,3]=>[3,6,7,2,1,4,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [6,5,1,2,8,7,3,4]=>[4,3,7,8,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,5,3,1,4,2,8,7]=>[7,8,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,1,6,4,2,7,8]=>[8,7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,4,1,7,3,8]=>[8,3,7,1,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,7,5,2,8,3]=>[3,8,2,5,7,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,1,7,2,6,3,8]=>[8,3,6,2,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,1,2,8,7,4]=>[4,7,8,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,5,7,1,8,6,2,4]=>[4,2,6,8,1,7,5,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,6,2,7,5,1,8,4]=>[4,8,1,5,7,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,5,7,1,8,6,3]=>[3,6,8,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,4,7,2,8,6,1,5]=>[5,1,6,8,2,7,4,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,6,2,8,1,5,7]=>[7,5,1,8,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,2,6,8,1,7,4]=>[4,7,1,8,6,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,2,5,6,1,3,8,7]=>[7,8,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,1,2,5,6,8,7]=>[7,8,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,6,8,4,7,2,1]=>[1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [3,7,2,5,4,8,6,1]=>[1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [8,4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [4,7,2,5,8,3,6,1]=>[1,6,3,8,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,2,6,8,4,3,7,1]=>[1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [3,1,6,5,4,8,2,7]=>[7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,6,5,8,3,2,7]=>[7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,6,8,4,3,2,7]=>[7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,3,1,1]=>1 [5,7,1,8,4,3,2,6]=>[6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,7,1,5,4,3,8,6]=>[6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5,8]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>4 [8,4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,7,6,1,4,3,8,5]=>[5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,8,5,1,3,2,4]=>[4,2,3,1,5,8,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>4 [5,7,6,8,2,3,4,1]=>[1,4,3,2,8,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>1 [5,7,2,8,4,3,6,1]=>[1,6,3,4,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,7,8,2,4,3,5,1]=>[1,5,3,4,2,8,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>1 [4,7,6,2,8,3,5,1]=>[1,5,3,8,2,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [8,3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [3,7,6,2,4,8,5,1]=>[1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,7,3,8,4,6,2,1]=>[1,2,6,4,8,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [4,7,3,5,8,6,2,1]=>[1,2,6,8,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7,8]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [8,7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>3 [5,7,6,8,4,1,2,3]=>[3,2,1,4,8,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [4,7,6,5,8,1,2,3]=>[3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [3,7,6,5,1,8,2,4]=>[4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,8,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,8,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,2]=>7 [1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [8,9,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,1,8,2,3,4,5,6,9]=>[9,6,5,4,3,2,8,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,8,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,8,2,9,3,4,5,6,7]=>[7,6,5,4,3,9,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[7,2]=>7 [1,7,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [1,9,10,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,10,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,2]=>8 [1,11,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,11,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1]=>10 [3,6,4,8,7,5,1,2]=>[2,1,5,7,8,4,6,3]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [5,6,4,3,8,7,1,2]=>[2,1,7,8,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,6,2,4,7,8,5,3]=>[3,5,8,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [3,6,2,4,8,1,5,7]=>[7,5,1,8,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,7,2,8,1,6,5]=>[5,6,1,8,2,7,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,4,7,2,5,8,6,3]=>[3,6,8,5,2,7,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,3,8,4,5,6,1,2]=>[2,1,6,5,4,8,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [3,5,6,4,8,7,1,2]=>[2,1,7,8,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,6,8,5,3,7,1,2]=>[2,1,7,3,5,8,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,8,5,3,4,7,1,2]=>[2,1,7,4,3,5,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,6,5,4,2,8,7,3]=>[3,7,8,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,8,5,2,7,3,6,4]=>[4,6,3,7,2,5,8,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,2,7,5,1,8,6,3]=>[3,6,8,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,8,1,4,2,6,5,3]=>[3,5,6,2,4,1,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [1,3,6,4,8,2,5,7]=>[7,5,2,8,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,7,5,3,2,6,8]=>[8,6,2,3,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,3,4,2,8,7]=>[7,8,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,8,5,3,1,7,2,6]=>[6,2,7,1,3,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,4,5,3,2,8,1,6]=>[6,1,8,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,8,3,6,1,4,2,7]=>[7,2,4,1,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,5,8,6,4,1,3,7]=>[7,3,1,4,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,4,6,2,5,8,3,7]=>[7,3,8,5,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,2,5,8,1,7,4]=>[4,7,1,8,5,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,6,8,7,4,2,3,5]=>[5,3,2,4,7,8,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [6,1,7,8,2,4,3,5]=>[5,3,4,2,8,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,1,8,6,3,4,2,5]=>[5,2,4,3,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [7,2,1,4,5,6,8,3]=>[3,8,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,8,3,6,5,7,4]=>[4,7,5,6,3,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,1,3,2,7,5,8,4]=>[4,8,5,7,2,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,3,8,5,7,2,4]=>[4,2,7,5,8,3,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,4,1,7,5,8,3]=>[3,8,5,7,1,4,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,6,5,8,1,4,2,3]=>[3,2,4,1,8,5,6,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [5,8,6,7,3,2,1,4]=>[4,1,2,3,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [1,6,4,3,7,2,8,5]=>[5,8,2,7,3,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,3,4,8,7,1,5]=>[5,1,7,8,4,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,1,3,4,5,2,8,6]=>[6,8,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,8,3,5,4,2,7,6]=>[6,7,2,4,5,3,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,1,6,3,8,2,7,5]=>[5,7,2,8,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,8,2,4,6,3,1,5]=>[5,1,3,6,4,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [3,2,6,4,7,8,1,5]=>[5,1,8,7,4,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,8,5,7,4,3,1,6]=>[6,1,3,4,7,5,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [7,2,5,8,3,4,1,6]=>[6,1,4,3,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,3,8,7,1,2,6,4]=>[4,6,2,1,7,8,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [7,5,8,4,1,2,3,6]=>[6,3,2,1,4,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,8,7,4,1,3,2,6]=>[6,2,3,1,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,5,7,8,4,1,2,6]=>[6,2,1,4,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,4,7,5,3,8,2,6]=>[6,2,8,3,5,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,6,7,3,1,8,5]=>[5,8,1,3,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,8,4,6,3,1,2,5]=>[5,2,1,3,6,4,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [2,6,4,5,3,8,1,7]=>[7,1,8,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,5,8,4,2,1,7]=>[7,1,2,4,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,8,4,2,3,1,7]=>[7,1,3,2,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,5,4,3,1,2,7]=>[7,2,1,3,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,4,2,8,5,7,3]=>[3,7,5,8,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,8,6,5,3,2,7,1]=>[1,7,2,3,5,6,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [8,6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [6,7,5,8,2,1,4,3]=>[3,4,1,2,8,5,7,6]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [1,7,5,8,2,6,4,3]=>[3,4,6,2,8,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [1,3,8,5,7,6,2,4]=>[4,2,6,7,5,8,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [6,3,8,5,7,1,2,4]=>[4,2,1,7,5,8,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [8,3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,8,5,2,1,4,7,3]=>[3,7,4,1,2,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,8,2,5,6,1,7,4]=>[4,7,1,6,5,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,8,1,5,6,3,7,4]=>[4,7,3,6,5,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [1,8,2,5,7,6,3,4]=>[4,3,6,7,5,2,8,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [5,1,8,6,2,7,3,4]=>[4,3,7,2,6,8,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,5,8,6,1,7,3,4]=>[4,3,7,1,6,8,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [3,8,6,5,7,1,2,4]=>[4,2,1,7,5,6,8,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [7,6,5,8,1,2,4,3]=>[3,4,2,1,8,5,6,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [5,1,7,6,8,4,2,3]=>[3,2,4,8,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [5,1,3,7,8,6,2,4]=>[4,2,6,8,7,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,2,5,8,1,6,4,3]=>[3,4,6,1,8,5,2,7]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [3,2,8,5,7,6,1,4]=>[4,1,6,7,5,8,2,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [8,2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [5,2,8,6,1,7,3,4]=>[4,3,7,1,6,8,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,2,8,6,5,7,3,4]=>[4,3,7,5,6,8,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,2,1,3,6,7,8,5]=>[5,8,7,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,2,6,5,4,1,8,3]=>[3,8,1,4,5,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,1,3,5,4,7,8,2]=>[2,8,7,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,5,3,4,7,8,2]=>[2,8,7,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,6,2,4,1,8,3]=>[3,8,1,4,2,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,3,1,2,6,7,8,5]=>[5,8,7,6,2,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [3,5,8,6,2,7,1,4]=>[4,1,7,2,6,8,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,8,1,6,3,7,2,4]=>[4,2,7,3,6,1,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,8,5,6,3,7,2,4]=>[4,2,7,3,6,5,8,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,7,6,5,4,2,8,3]=>[3,8,2,4,5,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,6,1,4,2,8,3]=>[3,8,2,4,1,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,1,4,2,6,5,8,3]=>[3,8,5,6,2,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,7,3,5,6,8,2]=>[2,8,6,5,3,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,7,4,1,5,6,8,3]=>[3,8,6,5,1,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,6,4,1,2,8,3]=>[3,8,2,1,4,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,6,1,5,2,8,3]=>[3,8,2,5,1,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,7,6,4,5,2,8,3]=>[3,8,2,5,4,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,8,3,6,5,7,2,4]=>[4,2,7,5,6,3,8,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,1,6,5,7,2,4]=>[4,2,7,5,6,1,8,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [7,8,5,4,1,6,2,3]=>[3,2,6,1,4,5,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [6,1,5,4,3,7,8,2]=>[2,8,7,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,6,4,2,1,8,3]=>[3,8,1,2,4,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,4,6,2,5,1,8,3]=>[3,8,1,5,2,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,1,4,3,5,7,8,2]=>[2,8,7,5,3,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,3,4,5,7,8,2]=>[2,8,7,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,2,6,4,5,1,8,3]=>[3,8,1,5,4,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,4,7,3,6,8,1,2]=>[2,1,8,6,3,7,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,4,7,8,5,6,1,2]=>[2,1,6,5,8,7,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,4,7,2,5,1,6,8]=>[8,6,1,5,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,6,2,4,7,1,5,8]=>[8,5,1,7,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,3,4,5,7,1,2]=>[2,1,7,5,4,3,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,3,6,7,5,8,1,2]=>[2,1,8,5,7,6,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,3,7,5,8,4,1,2]=>[2,1,4,8,5,7,3,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,3,8,6,4,5,1,2]=>[2,1,5,4,6,8,3,7]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [3,2,7,6,5,1,4,8]=>[8,4,1,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,6,5,8,3,4]=>[4,3,8,5,6,7,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,8,2,6,1,5,3,7]=>[7,3,5,1,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,3,8,6,4,1,5,7]=>[7,5,1,4,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,6,2,5,1,8,7]=>[7,8,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,8,3,2,5,1,4,6]=>[6,4,1,5,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,1,2,5,6,3,4]=>[4,3,6,5,2,1,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [4,1,6,2,5,7,3,8]=>[8,3,7,5,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,5,8,7,3,4]=>[4,3,7,8,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,1,8,6,4,7,3,5]=>[5,3,7,4,6,8,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,1,3,6,8,4,2,5]=>[5,2,4,8,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [7,1,5,8,3,6,2,4]=>[4,2,6,3,8,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,1,8,7,2,3,6,4]=>[4,6,3,2,7,8,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [6,1,5,7,4,2,8,3]=>[3,8,2,4,7,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,6,4,7,2,5,8]=>[8,5,2,7,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,5,1,8,3,6]=>[6,3,8,1,5,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,5,7,1,4,2,3,8]=>[8,3,2,4,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,8,1,3,2,4,7]=>[7,4,2,3,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,5,1,3,4,2,7]=>[7,2,4,3,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,3,4,5,1,7,6]=>[6,7,1,5,4,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,2,4,3,1,5,7,8]=>[8,7,5,1,3,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,8,3,1,7,5,6]=>[6,5,7,1,3,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,3,7,4,8,2,5,6]=>[6,5,2,8,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,7,4,1,6,2,8]=>[8,2,6,1,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,3,6,1,8,5]=>[5,8,1,6,3,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,8,7,6,3,1,2,4]=>[4,2,1,3,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,1,1]=>4 [7,5,6,8,1,4,3,2]=>[2,3,4,1,8,6,5,7]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [2,4,7,1,6,5,3,8]=>[8,3,5,6,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,8,5,4,3,6]=>[6,3,4,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,3,1,2,8,4,5,7]=>[7,5,4,8,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,1,3,6,5,8,7]=>[7,8,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,8,1,4,5,6,3,7]=>[7,3,6,5,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,2,1,5,4,6,3,8]=>[8,3,6,4,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,1,8,5,3,7]=>[7,3,5,8,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,8,2,1,4,5,3,6]=>[6,3,5,4,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,4,1,5,3,6,2]=>[2,6,3,5,1,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [3,4,6,1,5,8,7,2]=>[2,7,8,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [7,5,1,6,4,3,8,2]=>[2,8,3,4,6,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,8,1,6,3,4,7,2]=>[2,7,4,3,6,1,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,5,1,8,2,7,4,3]=>[3,4,7,2,8,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [6,8,1,7,5,2,3,4]=>[4,3,2,5,7,1,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [7,6,1,8,5,3,2,4]=>[4,2,3,5,8,1,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,6,1,7,4,8,2,3]=>[3,2,8,4,7,1,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,6,1,5,7,4,2,8]=>[8,2,4,7,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,1,7,4,8,3]=>[3,8,4,7,1,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,7,5,6,4,8,2]=>[2,8,4,6,5,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,7,6,4,8,3,2]=>[2,3,8,4,6,7,1,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,1,7,8,5,3,4,2]=>[2,4,3,5,8,7,1,6]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [7,1,8,6,5,4,2,3]=>[3,2,4,5,6,8,1,7]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [2,6,5,7,3,4,8,1]=>[1,8,4,3,7,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,6,4,7,5,8,2,3]=>[3,2,8,5,7,4,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [1,3,7,4,6,8,2,5]=>[5,2,8,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,7,5,6,3,2,8,1]=>[1,8,2,3,6,5,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,7,6,5,4,8,2,3]=>[3,2,8,4,5,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1,8]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>3 [1,2,7,6,8,3,4,5]=>[5,4,3,8,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,1,7,5,3,8,2,4]=>[4,2,8,3,5,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,7,5,6,8,3,4]=>[4,3,8,6,5,7,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,4,1,7,6,8,2,3]=>[3,2,8,6,7,1,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,8,5,6,2,7,3,1]=>[1,3,7,2,6,5,8,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [3,8,6,4,2,7,5,1]=>[1,5,7,2,4,6,8,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [7,8,5,2,4,6,3,1]=>[1,3,6,4,2,5,8,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,2]=>1 [2,8,6,3,7,4,5,1]=>[1,5,4,7,3,6,8,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [7,8,1,6,2,4,5,3]=>[3,5,4,2,6,1,8,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>3 [6,8,1,4,7,2,5,3]=>[3,5,2,7,4,1,8,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [3,8,4,1,7,2,6,5]=>[5,6,2,7,1,4,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [5,4,7,1,8,3,2,6]=>[6,2,3,8,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,4,1,8,5,2,6]=>[6,2,5,8,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,7,1,4,8,3,2,5]=>[5,2,3,8,4,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,7,1,8,4,5,3,6]=>[6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,1,2,8,4,3,5,7]=>[7,5,3,4,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,1,4,3,8,2,7]=>[7,2,8,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,2,5,8,3,4,7]=>[7,4,3,8,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [7,4,2,1,8,5,3,6]=>[6,3,5,8,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,4,2,8,3,6,7]=>[7,6,3,8,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,3,1,5,8,2,7]=>[7,2,8,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,7,6,8,4,5,2,1]=>[1,2,5,4,8,6,7,3]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [2,7,6,8,5,3,4,1]=>[1,4,3,5,8,6,7,2]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [1,7,6,8,5,4,2,3]=>[3,2,4,5,8,6,7,1]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [1,4,8,6,7,5,2,3]=>[3,2,5,7,6,8,4,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [2,4,8,6,7,3,5,1]=>[1,5,3,7,6,8,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [7,3,8,5,4,6,2,1]=>[1,2,6,4,5,8,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [3,4,8,5,6,7,2,1]=>[1,2,7,6,5,8,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [6,3,5,8,4,7,2,1]=>[1,2,7,4,8,5,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [5,4,3,8,6,7,2,1]=>[1,2,7,6,8,3,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [5,4,2,8,7,3,6,1]=>[1,6,3,7,8,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [6,2,5,8,7,3,4,1]=>[1,4,3,7,8,5,2,6]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [3,2,8,5,7,4,6,1]=>[1,6,4,7,5,8,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [1,3,8,7,5,6,2,4]=>[4,2,6,5,7,8,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [2,1,8,7,4,6,3,5]=>[5,3,6,4,7,8,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,1,8,5,7,6,2,4]=>[4,2,6,7,5,8,1,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [6,1,5,8,7,4,2,3]=>[3,2,4,7,8,5,1,6]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [5,4,1,8,7,6,2,3]=>[3,2,6,7,8,1,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,3,1]=>1 [4,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,3,1,1]=>1 [4,2,1,6,3,5,8,7]=>[7,8,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,1,4,3,5,8,7]=>[7,8,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,1,4,3,8,5,7]=>[7,5,8,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,4,1,3,8,5,7]=>[7,5,8,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,2,4,1,3,5,8,7]=>[7,8,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,6,1,3,5,8,7]=>[7,8,5,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,1,6,4,3,5,8,7]=>[7,8,5,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,1,4,3,5,8,7]=>[7,8,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,1,3,5,8,7]=>[7,8,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,2,1,3,5,8,7]=>[7,8,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,4,2,1,8,3,5,7]=>[7,5,3,8,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,6,1,4,3,8,5,7]=>[7,5,8,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,6,4,3,8,5,7]=>[7,5,8,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,8,4,3,6,5,7]=>[7,5,6,3,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,8,1,4,3,6,5,7]=>[7,5,6,3,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,4,1,3,6,5,7]=>[7,5,6,3,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,2,1,3,6,5,7]=>[7,5,6,3,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,2,1,6,3,5,7]=>[7,5,3,6,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,8,1,4,6,3,5,7]=>[7,5,3,6,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,1,8,4,6,3,5,7]=>[7,5,3,6,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,1,6,4,8,3,5,7]=>[7,5,3,8,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,6,1,4,8,3,5,7]=>[7,5,3,8,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,6,4,1,8,3,5,7]=>[7,5,3,8,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,6,4,8,1,3,5,7]=>[7,5,3,1,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,2,8,1,3,5,7]=>[7,5,3,1,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,6,1,3,8,5,7]=>[7,5,8,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,6,1,8,3,5,7]=>[7,5,3,8,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,4,1,8,3,5,7]=>[7,5,3,8,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,1,4,8,3,5,7]=>[7,5,3,8,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,1,6,8,3,5,7]=>[7,5,3,8,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,1,6,3,8,5,7]=>[7,5,8,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,1,3,6,8,5,7]=>[7,5,8,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,4,3,8,6,5,7]=>[7,5,6,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,1,3,8,6,5,7]=>[7,5,6,8,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,1,3,8,6,5,7]=>[7,5,6,8,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,1,8,3,6,5,7]=>[7,5,6,3,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,1,8,6,3,5,7]=>[7,5,3,6,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,8,1,4,3,5,7]=>[7,5,3,4,1,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,2,8,1,6,3,5,7]=>[7,5,3,6,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,2,8,1,3,6,5,7]=>[7,5,6,3,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,4,8,1,3,6,5,7]=>[7,5,6,3,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,4,1,8,3,6,5,7]=>[7,5,6,3,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,1,4,8,3,6,5,7]=>[7,5,6,3,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,1,4,8,6,3,5,7]=>[7,5,3,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,8,1,6,3,5,7]=>[7,5,3,6,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,4,8,6,1,3,5,7]=>[7,5,3,1,6,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,2,8,6,1,3,5,7]=>[7,5,3,1,6,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,4,8,2,1,3,5,7]=>[7,5,3,1,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,6,8,2,1,3,5,7]=>[7,5,3,1,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,8,4,1,3,5,7]=>[7,5,3,1,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,1,8,4,3,5,7]=>[7,5,3,4,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,1,8,6,4,3,5,7]=>[7,5,3,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,8,6,4,1,3,5,7]=>[7,5,3,1,4,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,2,6,1,5,4,8,7]=>[7,8,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,4,3,8,1,7,6]=>[6,7,1,8,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,2,4,1,5,3,8,7]=>[7,8,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,6,1,5,2,8,7]=>[7,8,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,2,8,1,7,6]=>[6,7,1,8,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,3,7,2,6,5,8,1]=>[1,8,5,6,2,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,8,2,6,1,7,5]=>[5,7,1,6,2,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,3,8,1,7,2,6,5]=>[5,6,2,7,1,8,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,3,8,1,5,2,7,6]=>[6,7,2,5,1,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,1,8,3,4,2,7,6]=>[6,7,2,4,3,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,4,8,1,3,2,7,6]=>[6,7,2,3,1,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,1,5,4,8,3,7,6]=>[6,7,3,8,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,1,7,6,8,3,4,2]=>[2,4,3,8,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [4,3,7,6,8,1,5,2]=>[2,5,1,8,6,7,3,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,3,7,1,8,5,6,2]=>[2,6,5,8,1,7,3,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,3,6,5,8,1,7,2]=>[2,7,1,8,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,3,5,4,7,2,8,1]=>[1,8,2,7,4,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,5,4,8,1,7,2]=>[2,7,1,8,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [7,1,6,3,8,4,5,2]=>[2,5,4,8,3,6,1,7]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,4,6,5,8,1,3,2]=>[2,3,1,8,5,6,4,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [2,1,8,4,6,3,7,5]=>[5,7,3,6,4,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,3,5,2,6,4,8,1]=>[1,8,4,6,2,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,2,8,4,6,1,7,5]=>[5,7,1,6,4,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,2,8,1,5,4,7,6]=>[6,7,4,5,1,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,2,7,6,8,1,5,4]=>[4,5,1,8,6,7,2,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,2,7,1,8,5,6,4]=>[4,6,5,8,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,2,6,5,8,1,7,4]=>[4,7,1,8,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,5,7,2,4,3,8,1]=>[1,8,3,4,2,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,8,2,4,1,7,3]=>[3,7,1,4,2,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [7,2,4,1,8,5,6,3]=>[3,6,5,8,1,4,2,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,6,8,2,4,1,5,3]=>[3,5,1,4,2,8,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [7,6,8,1,5,2,4,3]=>[3,4,2,5,1,8,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [2,1,7,3,8,5,6,4]=>[4,6,5,8,3,7,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,1,3,2,8,5,6,4]=>[4,6,5,8,2,3,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,1,8,5,6,2,4,3]=>[3,4,2,6,5,8,1,7]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [7,1,8,2,6,4,5,3]=>[3,5,4,6,2,8,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,2,8,1,5,4,6,3]=>[3,6,4,5,1,8,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [6,2,7,4,5,3,8,1]=>[1,8,3,5,4,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,7,2,6,3,8,1]=>[1,8,3,6,2,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,8,2,6,1,7,3]=>[3,7,1,6,2,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,5,8,1,7,2,4,3]=>[3,4,2,7,1,8,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [2,1,6,5,8,3,7,4]=>[4,7,3,8,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,5,7,4,8,1,3,2]=>[2,3,1,8,4,7,5,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [6,5,7,1,8,3,4,2]=>[2,4,3,8,1,7,5,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,1,7,4,8,3,5,2]=>[2,5,3,8,4,7,1,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [5,4,7,1,8,3,6,2]=>[2,6,3,8,1,7,4,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,4,6,3,8,1,7,2]=>[2,7,1,8,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [2,8,3,1,5,4,6,7]=>[7,6,4,5,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,5,3,4,7,1,8,6]=>[6,8,1,7,4,3,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,8,3,5,7,6,1]=>[1,6,7,5,3,8,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [4,2,5,3,1,8,6,7]=>[7,6,8,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,1,8,5,3,6,7]=>[7,6,3,5,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,1,3,8,2,6,7]=>[7,6,2,8,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,4,8,3,2,6,7]=>[7,6,2,3,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,8,4,3,2,6,7]=>[7,6,2,3,4,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,8,5,4,3,2,6,7]=>[7,6,2,3,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,4,3,8,5,2,6]=>[6,2,5,8,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,7,3,8,4,2,6]=>[6,2,4,8,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,1,4,7,8,3,2,6]=>[6,2,3,8,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,8,1,5,7,3,6,2]=>[2,6,3,7,5,1,8,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [8,1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [3,8,4,7,6,5,2,1]=>[1,2,5,6,7,4,8,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,3,1,1,1]=>1 [1,6,8,5,3,7,4,2]=>[2,4,7,3,5,8,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [6,8,1,7,4,3,5,2]=>[2,5,3,4,7,1,8,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [6,4,8,1,7,3,5,2]=>[2,5,3,7,1,8,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,4,8,7,1,5,2,3]=>[3,2,5,1,7,8,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [7,6,4,1,3,8,2,5]=>[5,2,8,3,1,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,5,6,3,2,8,4]=>[4,8,2,3,6,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,1,7,8,5,3,6]=>[6,3,5,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,4,6,3,1,8,5]=>[5,8,1,3,6,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,8,4,3,7,5,1]=>[1,5,7,3,4,8,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [6,2,4,8,3,7,5,1]=>[1,5,7,3,8,4,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [7,2,6,3,4,1,8,5]=>[5,8,1,4,3,6,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,7,3,1,4,8,5]=>[5,8,4,1,3,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,7,1,8,3,5,4,6]=>[6,4,5,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,1,7,3,5,8,4,6]=>[6,4,8,5,3,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [7,8,2,6,3,1,5,4]=>[4,5,1,3,6,2,8,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [8,7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7,8]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [1,2,8,7,4,5,6,3]=>[3,6,5,4,7,8,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [8,3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [1,8,5,2,6,7,4,3]=>[3,4,7,6,2,5,8,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [5,2,1,8,6,7,4,3]=>[3,4,7,6,8,1,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [2,8,5,7,6,4,3,1]=>[1,3,4,6,7,5,8,2]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,1,2,1,1]=>1 [1,7,8,5,2,6,4,3]=>[3,4,6,2,5,8,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [7,8,1,6,4,2,5,3]=>[3,5,2,4,6,1,8,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>3 [7,8,6,1,5,3,2,4]=>[4,2,3,5,1,6,8,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [7,3,8,6,1,5,2,4]=>[4,2,5,1,6,8,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7,8]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [8,7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7,8]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>2 [8,1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1,8]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>2 [1,8,6,7,5,4,3,2]=>[2,3,4,5,7,6,8,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,1,2,1]=>2 [6,3,5,2,1,4,8,7]=>[7,8,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,5,7,2,8,4,1]=>[1,4,8,2,7,5,3,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [8,5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [4,5,3,6,1,2,8,7]=>[7,8,2,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,1,4,6,2,8,7]=>[7,8,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [5,7,4,6,3,8,2,1]=>[1,2,8,3,6,4,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [2,8,4,6,3,7,1,5]=>[5,1,7,3,6,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [2,1,8,5,7,4,3,6]=>[6,3,4,7,5,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [6,5,3,7,1,8,4,2]=>[2,4,8,1,7,3,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,5,1,4,7,8,3,2]=>[2,3,8,7,4,1,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,3,4,7,5,8,1,2]=>[2,1,8,5,7,4,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,1,4,6,8,3,7,2]=>[2,7,3,8,6,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,7,1,3,5,8,6,2]=>[2,6,8,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,8,3,7,1,2,6,5]=>[5,6,2,1,7,3,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [3,8,6,4,1,7,2,5]=>[5,2,7,1,4,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,1,2,5,7,6,4]=>[4,6,7,5,2,1,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [2,8,7,5,4,1,3,6]=>[6,3,1,4,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [8,7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [3,8,6,7,4,2,1,5]=>[5,1,2,4,7,6,8,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [5,7,6,8,4,2,3,1]=>[1,3,2,4,8,6,7,5]=>[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [5,3,7,8,2,4,6,1]=>[1,6,4,2,8,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [8,3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,3,7,6,2,1,8,4]=>[4,8,1,2,6,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,3,6,2,8,7,1,4]=>[4,1,7,8,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,7,8,6,4,2,1,3]=>[3,1,2,4,6,8,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [2,6,7,5,4,8,1,3]=>[3,1,8,4,5,7,6,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,1,7,4,5,8,2,3]=>[3,2,8,5,4,7,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,7,3,5,1,8,2,4]=>[4,2,8,1,5,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,6,7,5,8,3,4]=>[4,3,8,5,7,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,5,7,3,6,8,4]=>[4,8,6,3,7,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,7,3,6,1,2,8,4]=>[4,8,2,1,6,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,7,2,5,6,8,3]=>[3,8,6,5,2,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,7,1,6,5,8,3]=>[3,8,5,6,1,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,2,1,8,7,5,3]=>[3,5,7,8,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [3,4,6,2,7,8,5,1]=>[1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,6,1,2,5,8,7,3]=>[3,7,8,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,6,1,4,8,2,7,3]=>[3,7,2,8,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,6,3,1,8,7,2,4]=>[4,2,7,8,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,5,6,4,7,1,8,2]=>[2,8,1,7,4,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,6,1,5,7,8,2]=>[2,8,7,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,1,5,7,6,8,2]=>[2,8,6,7,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,8,2,7,1,6,5,4]=>[4,5,6,1,7,2,8,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [3,8,2,7,6,1,5,4]=>[4,5,1,6,7,2,8,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [3,8,2,7,6,5,1,4]=>[4,1,5,6,7,2,8,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [3,8,2,7,6,5,4,1]=>[1,4,5,6,7,2,8,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,3,1,1,1,1]=>1 [4,8,7,2,6,5,3,1]=>[1,3,5,6,2,7,8,4]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>1 [4,8,7,2,6,5,1,3]=>[3,1,5,6,2,7,8,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [4,8,7,2,6,1,5,3]=>[3,5,1,6,2,7,8,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [4,8,7,2,1,6,5,3]=>[3,5,6,1,2,7,8,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [4,8,7,3,1,6,5,2]=>[2,5,6,1,3,7,8,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [4,8,7,3,2,1,6,5]=>[5,6,1,2,3,7,8,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,8,7,3,2,6,1,5]=>[5,1,6,2,3,7,8,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,8,7,3,2,6,5,1]=>[1,5,6,2,3,7,8,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [4,8,7,3,6,2,5,1]=>[1,5,2,6,3,7,8,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [4,8,7,3,6,2,1,5]=>[5,1,2,6,3,7,8,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,8,7,3,6,1,5,2]=>[2,5,1,6,3,7,8,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [4,8,7,3,6,5,1,2]=>[2,1,5,6,3,7,8,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [4,8,7,3,6,5,2,1]=>[1,2,5,6,3,7,8,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,3,1,1,1]=>1 [5,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,2,2,1,1]=>1 [5,8,7,6,3,1,4,2]=>[2,4,1,3,6,7,8,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [5,8,7,6,3,2,4,1]=>[1,4,2,3,6,7,8,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [5,8,7,6,2,4,3,1]=>[1,3,4,2,6,7,8,5]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,1,2,1,1]=>1 [5,8,7,6,2,1,4,3]=>[3,4,1,2,6,7,8,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [5,8,7,6,4,2,3,1]=>[1,3,2,4,6,7,8,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,1,2,1,1]=>1 [5,8,7,6,4,2,1,3]=>[3,1,2,4,6,7,8,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [5,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,5]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>2 [5,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,5]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>2 [7,3,4,2,1,6,5,8]=>[8,5,6,1,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,2,6,1,4,8]=>[8,4,1,6,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,2,6,4,1,8]=>[8,1,4,6,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,2,7,4,8,1]=>[1,8,4,7,2,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,2,1,5,6,4,3,8]=>[8,3,4,6,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,1,6,4,2,8]=>[8,2,4,6,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,6,1,3,2,8]=>[8,2,3,1,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,7,3,2,8,6]=>[6,8,2,3,7,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,6,7,3,8,2,5]=>[5,2,8,3,7,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,4,5,7,3,1,8,2]=>[2,8,1,3,7,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,5,7,1,3,8,2]=>[2,8,3,1,7,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,5,1,7,4,8,2]=>[2,8,4,7,1,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,1,5,7,4,8,3]=>[3,8,4,7,5,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,1,5,7,4,8,6]=>[6,8,4,7,5,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,6,7,3,8,1,5]=>[5,1,8,3,7,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,4,6,7,3,8,5,2]=>[2,5,8,3,7,6,4,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,5,6,7,8,3,4,2]=>[2,4,3,8,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [2,5,6,7,8,3,1,4]=>[4,1,3,8,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,2,1,6,7,8,4,5]=>[5,4,8,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,2,1,6,7,8,4,3]=>[3,4,8,7,6,1,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,3,6,1,7,8,4,2]=>[2,4,8,7,1,6,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,4,6,7,1,8,3,2]=>[2,3,8,1,7,6,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,5,6,7,8,3,2,4]=>[4,2,3,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,4,5,7,2,1,8,3]=>[3,8,1,2,7,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,6,7,2,8,3,1]=>[1,3,8,2,7,6,4,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,3,6,2,7,8,4,1]=>[1,4,8,7,2,6,3,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,3,6,2,7,8,1,4]=>[4,1,8,7,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,5,2,7,1,8,4]=>[4,8,1,7,2,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,4,2,1,7,8,5]=>[5,8,7,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,4,1,2,7,8,6]=>[6,8,7,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,6,2,7,8,1,5]=>[5,1,8,7,2,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,6,2,7,8,5,1]=>[1,5,8,7,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [1,3,6,2,7,8,5,4]=>[4,5,8,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,4,6,7,2,8,5,3]=>[3,5,8,2,7,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [3,4,6,7,2,8,5,1]=>[1,5,8,2,7,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,4,5,7,2,1,8,6]=>[6,8,1,2,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,1,5,7,3,8,6]=>[6,8,3,7,5,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,1,6,7,8,3,5]=>[5,3,8,7,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,6,1,7,8,2,5]=>[5,2,8,7,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,5,6,7,8,2,4,3]=>[3,4,2,8,7,6,5,1]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [1,5,6,7,8,4,2,3]=>[3,2,4,8,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,4,6,7,1,8,5,2]=>[2,5,8,1,7,6,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,3,6,1,7,8,5,2]=>[2,5,8,7,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,2,1,6,7,8,5,3]=>[3,5,8,7,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,3,6,1,7,8,5,4]=>[4,5,8,7,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,4,6,7,1,8,5,3]=>[3,5,8,1,7,6,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,5,6,7,8,1,4,3]=>[3,4,1,8,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,1,3,6,5,8,7,9]=>[9,7,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,1,6,3,5,8,7,9]=>[9,7,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,1,6,3,8,5,7,9]=>[9,7,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,1,6,3,7,5,9,8]=>[8,9,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,4,1,5,3,7,6,9,8]=>[8,9,6,7,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,3,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [1,3,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,4,1,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,1,3,5,8,7,9]=>[9,7,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,1,6,3,5,8,7,10,9]=>[9,10,7,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,6,8,3,5,7,9]=>[9,7,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,1,6,3,8,5,7,10,9]=>[9,10,7,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,6,3,8,9,5,7]=>[7,5,9,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>7 [2,4,1,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,6,3,7,5,8,9]=>[9,8,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,1,6,3,8,5,9,7,10]=>[10,7,9,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,4,1,5,3,8,6,9,7]=>[7,9,6,8,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [2,4,1,6,3,7,5,9,8,10]=>[10,8,9,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,3,1,6,4,7,5,9,8]=>[8,9,5,7,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,4,1,5,3,7,6,9,8,10]=>[10,8,9,6,7,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,4,2,5,3,7,6,9,8]=>[8,9,6,7,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,3,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,3,2,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,4,3,6,2,5,7,8]=>[8,7,5,2,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,7,2,5,6,8]=>[8,6,5,2,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,7,6,8,2,5]=>[5,2,8,6,7,3,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,4,3,7,5,8,2,6]=>[6,2,8,5,7,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,3,7,2,6,5,8]=>[8,5,6,2,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,7,4,8,2,6]=>[6,2,8,4,7,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,6,5,8,4,7]=>[7,4,8,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,4,8,2,6,3,7]=>[7,3,6,2,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,4,8,3,7,2,6]=>[6,2,7,3,8,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,3,6,5,8,4,7]=>[7,4,8,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,8,2,4,5,7,1,3]=>[3,1,7,5,4,2,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,7,8,4,5,2,6,1]=>[1,6,2,5,4,8,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [7,8,1,4,5,3,6,2]=>[2,6,3,5,4,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [3,8,7,4,1,6,5,2]=>[2,5,6,1,4,7,8,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [4,8,3,6,1,5,7,2]=>[2,7,5,1,6,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,8,3,1,6,4,7,2]=>[2,7,4,6,1,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,8,1,4,7,6,3,2]=>[2,3,6,7,4,1,8,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,3,1,1]=>2 [7,5,1,8,6,2,4,3]=>[3,4,2,6,8,1,5,7]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [7,4,1,8,2,6,3,5]=>[5,3,6,2,8,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,1,8,4,2,6,3,5]=>[5,3,6,2,4,8,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,1,3,8,5,2,4,7]=>[7,4,2,5,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,1,8,3,6,2,5,4]=>[4,5,2,6,3,8,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,3,1,8,4,2,6,5]=>[5,6,2,4,8,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,2,8,4,1,6,5,3]=>[3,5,6,1,4,8,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,2,8,3,6,5,1,4]=>[4,1,5,6,3,8,2,7]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,2,8,3,6,1,5,4]=>[4,5,1,6,3,8,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,1,8,2,3,6,5,4]=>[4,5,6,3,2,8,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [6,1,2,8,3,5,4,7]=>[7,4,5,3,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,1,2,3,8,4,7,6]=>[6,7,4,8,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,3,8,1,4,7,6]=>[6,7,4,1,8,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,2,8,1,3,5,4,7]=>[7,4,5,3,1,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,4,1,8,7,3,5]=>[5,3,7,8,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,3,1,4,2,8,5,7]=>[7,5,8,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,6,4,2,8,5,7]=>[7,5,8,2,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,3,8,7,1,5,4]=>[4,5,1,7,8,3,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [2,6,3,8,5,1,4,7]=>[7,4,1,5,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,1,8,3,4,7,6]=>[6,7,4,3,8,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,5,1,3,8,4,7,6]=>[6,7,4,8,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,2,4,8,3,7,6,5]=>[5,6,7,3,8,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,4,8,1,3,7,6,5]=>[5,6,7,3,1,8,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,4,8,3,7,1,6,5]=>[5,6,1,7,3,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,4,8,3,7,6,1,5]=>[5,1,6,7,3,8,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,5,3,8,1,7,4,6]=>[6,4,7,1,8,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,5,4,1,3,8,7,6]=>[6,7,8,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,1,5,4,8,2,7,6]=>[6,7,2,8,4,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,3,1,4,8,2,7,6]=>[6,7,2,8,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,3,8,4,7,1,6]=>[6,1,7,4,8,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,8,2,3,7,6,1,5]=>[5,1,6,7,3,2,8,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,2,3,7,1,6,5]=>[5,6,1,7,3,2,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,1,2,3,7,6,5]=>[5,6,7,3,2,1,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [1,4,8,2,3,7,6,5]=>[5,6,7,3,2,8,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,4,8,3,7,2,6,5]=>[5,6,2,7,3,8,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [6,3,8,1,5,2,4,7]=>[7,4,2,5,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,8,1,2,4,7,6]=>[6,7,4,2,1,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,1,3,8,2,4,7,6]=>[6,7,4,2,8,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,5,3,8,2,4,7,6]=>[6,7,4,2,8,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,5,4,8,2,7,6,3]=>[3,6,7,2,8,4,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [5,1,4,8,2,7,6,3]=>[3,6,7,2,8,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [5,4,8,1,2,7,6,3]=>[3,6,7,2,1,8,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [6,5,1,2,8,7,4,3]=>[3,4,7,8,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [5,3,1,6,4,2,8,7]=>[7,8,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,6,2,8,7,4,3]=>[3,4,7,8,2,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [4,1,5,8,2,7,6,3]=>[3,6,7,2,8,5,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,1,2,5,8,7,6,3]=>[3,6,7,8,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [1,3,5,2,8,7,4,6]=>[6,4,7,8,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,5,1,2,8,7,4,6]=>[6,4,7,8,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,6,2,8,7,5,1,4]=>[4,1,5,7,8,2,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [4,2,6,1,8,7,3,5]=>[5,3,7,8,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,3,1,5,8,2,7,6]=>[6,7,2,8,5,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,5,2,8,7,1,4,6]=>[6,4,1,7,8,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,8,7,1,2,6,5]=>[5,6,2,1,7,8,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,4,8,1,7,2,6,5]=>[5,6,2,7,1,8,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,3,4,8,7,2,6,5]=>[5,6,2,7,8,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,3,4,8,2,7,6,5]=>[5,6,7,2,8,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [3,4,8,1,2,7,6,5]=>[5,6,7,2,1,8,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,4,8,2,7,1,6,5]=>[5,6,1,7,2,8,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,4,8,2,7,6,1,5]=>[5,1,6,7,2,8,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,2,5,8,1,7,6,3]=>[3,6,7,1,8,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,3,1,2,5,8,7,6]=>[6,7,8,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,1,4,2,5,8,7,6]=>[6,7,8,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [7,8,2,1,5,3,6,4]=>[4,6,3,5,1,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,4,1,2,7,3,5,8]=>[8,5,3,7,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,5,4,1,8,6]=>[6,8,1,4,5,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,3,1,5,4,2,7,8]=>[8,7,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,1,5,4,2,6,3]=>[3,6,2,4,5,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,8,3,5,4,1,6,2]=>[2,6,1,4,5,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,8,2,5,4,1,3,6]=>[6,3,1,4,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,5,4,6,1,3]=>[3,1,6,4,5,2,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [5,3,6,1,4,7,8,2]=>[2,8,7,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,6,2,4,7,1,8]=>[8,1,7,4,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,1,7,3,8,5]=>[5,8,3,7,1,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,7,5,8,6,1,2]=>[2,1,6,8,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,2,7,1,8,3,6,5]=>[5,6,3,8,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,2,6,7,4,8,1,5]=>[5,1,8,4,7,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,6,7,4,8,5,2]=>[2,5,8,4,7,6,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,7,6,5,3,8,4,2]=>[2,4,8,3,5,6,7,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [2,7,6,5,3,8,1,4]=>[4,1,8,3,5,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,7,6,5,2,4,8,3]=>[3,8,4,2,5,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,7,6,5,3,1,4,8]=>[8,4,1,3,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,4,8,3,5,6]=>[6,5,3,8,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,6,4,8,5,1,2]=>[2,1,5,8,4,6,7,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [5,7,6,3,8,4,1,2]=>[2,1,4,8,3,6,7,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [5,1,6,2,4,8,3,7]=>[7,3,8,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,7,6,5,2,1,3,8]=>[8,3,1,2,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,5,2,8,1,3]=>[3,1,8,2,5,6,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,7,6,5,1,8,3,2]=>[2,3,8,1,5,6,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,7,6,5,2,8,3,4]=>[4,3,8,2,5,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,7,6,5,3,2,8,4]=>[4,8,2,3,5,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,6,5,1,2,8,3]=>[3,8,2,1,5,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,6,5,3,1,8,2]=>[2,8,1,3,5,6,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,3,5,4,8,7,2]=>[2,7,8,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,2,6,3,4,1,7,8]=>[8,7,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,2,4,7,8,3]=>[3,8,7,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,6,3,4,8,7,5]=>[5,7,8,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,7,2,4,8,3,6,5]=>[5,6,3,8,4,2,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [6,1,4,2,8,3,5,7]=>[7,5,3,8,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,8,2,6,3,5,7]=>[7,5,3,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,7,2,1,5,3,6,8]=>[8,6,3,5,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,6,2,3,8,5]=>[5,8,3,2,6,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,2,6,8,3,5,4]=>[4,5,3,8,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,2,6,7,4,8,5,3]=>[3,5,8,4,7,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [3,1,6,7,4,2,8,5]=>[5,8,2,4,7,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,8,5,4,6,1,7]=>[7,1,6,4,5,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,7,6,3,5,8,1,2]=>[2,1,8,5,3,6,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,7,1,2,5,3,8,6]=>[6,8,3,5,2,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,6,5,2,4,1,8]=>[8,1,4,2,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,6,5,1,4,8,2]=>[2,8,4,1,5,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,7,6,5,2,1,8,4]=>[4,8,1,2,5,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,6,5,8,2,4,3]=>[3,4,2,8,5,6,7,1]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,7,6,5,8,1,4,2]=>[2,4,1,8,5,6,7,3]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,7,6,5,1,2,4,8]=>[8,4,2,1,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,8,4,2,5,7]=>[7,5,2,4,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,7,6,8,3,5,1,2]=>[2,1,5,3,8,6,7,4]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [2,7,6,5,1,4,3,8]=>[8,3,4,1,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,6,5,8,1,3,4]=>[4,3,1,8,5,6,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,7,6,5,8,4,1,3]=>[3,1,4,8,5,6,7,2]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [6,3,2,1,7,4,8,5]=>[5,8,4,7,1,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,1,7,3,5,8,6]=>[6,8,5,3,7,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,3,1,5,4,2,8,6]=>[6,8,2,4,5,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [4,3,7,2,1,5,8,6]=>[6,8,5,1,2,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,3,7,4,2,1,8,5]=>[5,8,1,2,4,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,7,2,5,3,1,8,6]=>[6,8,1,3,5,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,5,4,1,3,8,6]=>[6,8,3,1,4,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [6,5,2,1,8,4,3,7]=>[7,3,4,8,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,6,3,2,8,1,5,7]=>[7,5,1,8,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,7,4,3,2,8,1,6]=>[6,1,8,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,7,6,2,4,8,3,5]=>[5,3,8,4,2,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,3,6,4,8,1,5]=>[5,1,8,4,6,3,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,2,7,5,3,8,1,4]=>[4,1,8,3,5,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,1,8,5,3,6,4,2]=>[2,4,6,3,5,8,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [5,8,1,6,2,7,4,3]=>[3,4,7,2,6,1,8,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [1,8,6,2,3,7,5,4]=>[4,5,7,3,2,6,8,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [1,8,6,3,2,7,5,4]=>[4,5,7,2,3,6,8,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [5,8,3,2,7,1,6,4]=>[4,6,1,7,2,3,8,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [8,7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7,8]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [8,7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7,8]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [1,8,5,7,4,3,6,2]=>[2,6,3,4,7,5,8,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [1,8,5,7,2,4,6,3]=>[3,6,4,2,7,5,8,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [3,8,6,1,7,2,5,4]=>[4,5,2,7,1,6,8,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [5,8,4,6,7,1,3,2]=>[2,3,1,7,6,4,8,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,1]=>2 [7,2,8,5,6,1,4,3]=>[3,4,1,6,5,8,2,7]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [6,3,7,5,8,2,1,4]=>[4,1,2,8,5,7,3,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,7,2,6,8,4,1,5]=>[5,1,4,8,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,6,5,8,1,4,2,7]=>[7,2,4,1,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,5,8,4,1,3,7]=>[7,3,1,4,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,4,8,3,2,1,7]=>[7,1,2,3,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [6,2,5,8,1,4,3,7]=>[7,3,4,1,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,6,8,2,1,5,7]=>[7,5,1,2,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,5,1,8,4,2,7]=>[7,2,4,8,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [6,4,2,5,8,3,1,7]=>[7,1,3,8,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,1,6,8,2,3,7]=>[7,3,2,8,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,2,1,7,8,3,4]=>[4,3,8,7,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,7,4,8,5,2,1]=>[1,2,5,8,4,7,3,6]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [4,7,2,5,8,6,3,1]=>[1,3,6,8,5,2,7,4]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [6,3,1,8,4,7,5,2]=>[2,5,7,4,8,1,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [6,4,2,8,7,3,5,1]=>[1,5,3,7,8,2,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [6,5,3,8,7,4,1,2]=>[2,1,4,7,8,3,5,6]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [8,5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5,8]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,2,2,1,1]=>1 [5,4,8,1,7,6,2,3]=>[3,2,6,7,1,8,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [5,2,8,1,7,3,6,4]=>[4,6,3,7,1,8,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [6,4,8,2,1,7,5,3]=>[3,5,7,1,2,8,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [3,6,8,1,4,7,5,2]=>[2,5,7,4,1,8,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [5,7,3,8,1,6,4,2]=>[2,4,6,1,8,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [6,4,7,8,1,5,3,2]=>[2,3,5,1,8,7,4,6]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [6,3,7,8,5,2,4,1]=>[1,4,2,5,8,7,3,6]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [2,5,8,7,1,3,6,4]=>[4,6,3,1,7,8,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [5,3,8,7,2,1,6,4]=>[4,6,1,2,7,8,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [8,3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3,8]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>2 [8,2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2,8]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>3 [4,3,8,7,6,2,1,5]=>[5,1,2,6,7,8,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [2,4,8,7,6,1,3,5]=>[5,3,1,6,7,8,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,5,8,7,2,6,1,4]=>[4,1,6,2,7,8,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,7,3,8,6,5,1,2]=>[2,1,5,6,8,3,7,4]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [7,5,8,6,4,3,2,1]=>[1,2,3,4,6,8,5,7]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,2,2]=>1 [5,8,7,3,6,4,2,1]=>[1,2,4,6,3,7,8,5]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,2,2,1,1]=>1 [4,8,7,6,2,5,3,1]=>[1,3,5,2,6,7,8,4]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>1 [3,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>2 [2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>3 [3,4,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,5,6,1,2,3,7,8,9]=>[9,8,7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,2,5,1,3,6,7,8,9]=>[9,8,7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,2,6,7,1,3,4,8,9]=>[9,8,4,3,1,7,6,2,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,6,3,4,1,2,7,8,9]=>[9,8,7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,3,2,6,1,4,7,8,9]=>[9,8,7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,2,7,8,9,1,3,4,5]=>[5,4,3,1,9,8,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,4]=>5 [6,7,3,4,8,1,2,5,9]=>[9,5,2,1,8,4,3,7,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,3,2,7,8,1,4,5,9]=>[9,5,4,1,8,7,2,3,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,4,7,2,5,1,3,8,9]=>[9,8,3,1,5,2,7,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,4,3,2,7,1,5,8,9]=>[9,8,5,1,7,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,4,8,2,5,9,1,3,6]=>[6,3,1,9,5,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[6,3]=>6 [7,4,3,2,8,9,1,5,6]=>[6,5,1,9,8,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[6,3]=>6 [7,8,5,6,3,4,1,2,9]=>[9,2,1,4,3,6,5,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,5,3,8,2,6,1,4,9]=>[9,4,1,6,2,8,3,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,5,4,3,2,8,1,6,9]=>[9,6,1,8,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2,2]=>3 [8,6,4,3,9,2,7,1,5]=>[5,1,7,2,9,3,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[5,2,2]=>5 [8,6,5,4,3,2,9,1,7]=>[7,1,9,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>7 [3,4,1,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,5,6,1,2,3,7,8,9,10]=>[10,9,8,7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,2,5,1,3,6,7,8,9,10]=>[10,9,8,7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,6,7,8,1,2,3,4,9,10]=>[10,9,4,3,2,1,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,2,6,7,1,3,4,8,9,10]=>[10,9,8,4,3,1,7,6,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,6,3,4,1,2,7,8,9,10]=>[10,9,8,7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,3,2,6,1,4,7,8,9,10]=>[10,9,8,7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,2,7,8,9,1,3,4,5,10]=>[10,5,4,3,1,9,8,7,2,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,7,3,4,8,1,2,5,9,10]=>[10,9,5,2,1,8,4,3,7,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,3,2,7,8,1,4,5,9,10]=>[10,9,5,4,1,8,7,2,3,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,4,7,2,5,1,3,8,9,10]=>[10,9,8,3,1,5,2,7,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,4,3,2,7,1,5,8,9,10]=>[10,9,8,5,1,7,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,8,3,4,9,10,1,2,5,6]=>[6,5,2,1,10,9,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[6,4]=>6 [7,8,9,4,5,6,1,2,3,10]=>[10,3,2,1,6,5,4,9,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,4,3,2,8,9,1,5,6,10]=>[10,6,5,1,9,8,2,3,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,8,5,6,3,4,1,2,9,10]=>[10,9,2,1,4,3,6,5,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,5,3,8,2,6,1,4,9,10]=>[10,9,4,1,6,2,8,3,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,5,4,3,2,8,1,6,9,10]=>[10,9,6,1,8,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,5,9,10,2,6,7,1,3,4]=>[4,3,1,7,6,2,10,9,5,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,3]=>4 [8,5,3,9,2,6,10,1,4,7]=>[7,4,1,10,6,2,9,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[7,3]=>7 [8,6,9,4,7,2,5,1,3,10]=>[10,3,1,5,2,7,4,9,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,6,4,3,9,2,7,1,5,10]=>[10,5,1,7,2,9,3,4,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,6,5,4,3,2,9,1,7,10]=>[10,7,1,9,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,6,5,1,2,4,8,7]=>[7,8,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,7,5,8,2,4,1,6]=>[6,1,4,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [5,1,7,8,4,3,2,6]=>[6,2,3,4,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,1,2,6,4,3,8,7]=>[7,8,3,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,2,5,4,3,8,7]=>[7,8,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,2,4,6,3,8,7]=>[7,8,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,6,5,3,8,7]=>[7,8,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,7,8,3,2,6]=>[6,2,3,8,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,1,5,8,7,3,2,6]=>[6,2,3,7,8,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,7,1,8,3,6,2,5]=>[5,2,6,3,8,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,1,7,8,5,2,3,6]=>[6,3,2,5,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,1,7,4,8,2,3,6]=>[6,3,2,8,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,5,3,8,1,4,2,6]=>[6,2,4,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,1,5,8,7,3,4,6]=>[6,4,3,7,8,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,1,8,4,7,2,3,6]=>[6,3,2,7,4,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,1,8,7,5,2,3,6]=>[6,3,2,5,7,8,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,7,1,6,3,2,8,5]=>[5,8,2,3,6,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,2,3,7,5,8,4]=>[4,8,5,7,3,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,1,2,3,8,6,5,4]=>[4,5,6,8,3,2,1,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [7,1,2,3,5,8,6,4]=>[4,6,8,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,8,1,4,3,7,2,5]=>[5,2,7,3,4,1,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [2,1,7,3,4,8,6,5]=>[5,6,8,4,3,7,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [7,8,3,2,4,1,6,5]=>[5,6,1,4,2,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,7,1,4,3,8,2,5]=>[5,2,8,3,4,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>4 [7,1,2,3,6,8,5,4]=>[4,5,8,6,3,2,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [7,1,2,3,8,5,6,4]=>[4,6,5,8,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,1,8,5,4,3,2,6]=>[6,2,3,4,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,8,2,6,3,4,1,5]=>[5,1,4,3,6,2,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [6,8,2,7,3,4,1,5]=>[5,1,4,3,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [6,7,2,8,3,4,1,5]=>[5,1,4,3,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [3,8,7,1,4,2,6,5]=>[5,6,2,4,1,7,8,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [3,7,8,1,4,2,6,5]=>[5,6,2,4,1,8,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [3,6,8,1,4,2,7,5]=>[5,7,2,4,1,8,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,5,7,8,2,4,1,6]=>[6,1,4,2,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,6,7,1,4,2,8,5]=>[5,8,2,4,1,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,6,2,8,3,1,4,5]=>[5,4,1,3,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [8,6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [8,1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [5,8,3,7,1,4,2,6]=>[6,2,4,1,7,3,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,1,7,3,4,6,8,5]=>[5,8,6,4,3,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,3,2,4,1,8,5]=>[5,8,1,4,2,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [7,1,2,3,5,6,8,4]=>[4,8,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,2,3,8,7,4,5]=>[5,4,7,8,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,1,2,3,7,8,6,4]=>[4,6,8,7,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [5,1,2,3,8,7,6,4]=>[4,6,7,8,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [5,1,2,3,8,6,7,4]=>[4,7,6,8,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,1,2,3,5,8,7,4]=>[4,7,8,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [8,6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,6,3,2,4,8,1,5]=>[5,1,8,4,2,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,1,6,3,4,8,7,5]=>[5,7,8,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [8,6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,6,2,4,3,1,8,5]=>[5,8,1,3,4,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,2,3,5,7,8,4]=>[4,8,7,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,2,3,6,8,7,4]=>[4,7,8,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [7,8,1,2,6,3,5,4]=>[4,5,3,6,2,1,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,2,8,5,4,7,3,6]=>[6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,3,8,5,4,2,7,6]=>[6,7,2,4,5,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,3,6,8,4,7,1,5]=>[5,1,7,4,8,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,3,6,8,4,7,5,2]=>[2,5,7,4,8,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [2,4,8,1,7,3,6,5]=>[5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,4,8,5,7,6,1,2]=>[2,1,6,7,5,8,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,2,6,8,4,5,7,3]=>[3,7,5,4,8,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,5,1,2,4,3,6,8]=>[8,6,3,4,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,6,1,5,2,3,8]=>[8,3,2,5,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,4,2,6,3,5,8]=>[8,5,3,6,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,1,4,7,2,3,5]=>[5,3,2,7,4,1,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,8,1,7,3,5,4,2]=>[2,4,5,3,7,1,8,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>2 [7,1,3,6,5,4,2,8]=>[8,2,4,5,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,1,6,5,4,2,8]=>[8,2,4,5,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,1,4,6,3,5,8]=>[8,5,3,6,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,3,6,5,4,8]=>[8,4,5,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,1,2,7,3,5,4]=>[4,5,3,7,2,1,8,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,8,2,7,6,3,4]=>[4,3,6,7,2,8,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,1,8,2,7,6,3,4]=>[4,3,6,7,2,8,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,8,2,7,6,3,4,1]=>[1,4,3,6,7,2,8,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>1 [6,2,8,1,7,3,5,4]=>[4,5,3,7,1,8,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [6,8,2,1,7,4,3,5]=>[5,3,4,7,1,2,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [3,6,4,1,2,8,5,7]=>[7,5,8,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,6,3,8,5,4,7]=>[7,4,5,8,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,1,8,7,6,3,4]=>[4,3,6,7,8,1,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,5,3,8,7,4,6,1]=>[1,6,4,7,8,3,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,4,8,7,6,5,1,3]=>[3,1,5,6,7,8,4,2]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [2,5,3,8,7,1,6,4]=>[4,6,1,7,8,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,5,8,4,1,7,6,3]=>[3,6,7,1,4,8,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [3,5,8,7,1,4,2,6]=>[6,2,4,1,7,8,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,3,8,4,1,7,6,2]=>[2,6,7,1,4,8,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,2,8,7,6,3,5,1]=>[1,5,3,6,7,8,2,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [4,2,8,7,6,5,3,1]=>[1,3,5,6,7,8,2,4]=>[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,2,1,1,1]=>1 [4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,2,1,1,1]=>2 [4,3,8,7,6,5,1,2]=>[2,1,5,6,7,8,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [6,3,1,8,7,2,5,4]=>[4,5,2,7,8,1,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [5,8,3,7,6,1,4,2]=>[2,4,1,6,7,3,8,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [5,1,3,8,7,6,2,4]=>[4,2,6,7,8,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,5,3,8,7,6,2,4]=>[4,2,6,7,8,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,5,8,4,7,2,6,3]=>[3,6,2,7,4,8,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [5,1,8,4,7,2,6,3]=>[3,6,2,7,4,8,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [5,8,7,4,6,1,2,3]=>[3,2,1,6,4,7,8,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [6,8,5,1,2,4,7,3]=>[3,7,4,2,1,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,6,3,1,2,4,8,7]=>[7,8,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,2,4,3,1,8,7]=>[7,8,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,1,2,4,3,8,7]=>[7,8,3,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,8,1,7,2,3,6]=>[6,3,2,7,1,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,8,1,7,2,6,3]=>[3,6,2,7,1,8,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,5,1,8,7,4,6,2]=>[2,6,4,7,8,1,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [3,5,1,8,7,2,6,4]=>[4,6,2,7,8,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [4,3,6,1,2,8,5,7]=>[7,5,8,2,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,8,3,1,7,2,6]=>[6,2,7,1,3,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,2,8,7,1,3,6]=>[6,3,1,7,8,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,2,5,8,7,1,6,4]=>[4,6,1,7,8,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,4,8,7,6,2,1,5]=>[5,1,2,6,7,8,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,1,4,8,7,6,2,5]=>[5,2,6,7,8,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [3,4,8,7,6,5,1,2]=>[2,1,5,6,7,8,4,3]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [1,3,4,8,7,6,2,5]=>[5,2,6,7,8,4,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [3,4,8,7,6,2,5,1]=>[1,5,2,6,7,8,4,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [3,2,5,8,7,4,6,1]=>[1,6,4,7,8,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,5,8,3,1,7,6,2]=>[2,6,7,1,3,8,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [2,1,3,5,8,7,4,6]=>[6,4,7,8,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,2,7,5,8,6,4,3]=>[3,4,6,8,5,7,2,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [7,1,4,8,2,6,5,3]=>[3,5,6,2,8,4,1,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [6,8,1,3,7,5,2,4]=>[4,2,5,7,3,1,8,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [3,7,8,1,2,6,5,4]=>[4,5,6,2,1,8,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [1,3,7,8,2,6,5,4]=>[4,5,6,2,8,7,3,1]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [2,3,7,8,1,6,5,4]=>[4,5,6,1,8,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [2,7,8,1,3,6,5,4]=>[4,5,6,3,1,8,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [2,8,1,6,7,3,5,4]=>[4,5,3,7,6,1,8,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [2,6,8,3,7,1,5,4]=>[4,5,1,7,3,8,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [2,8,6,4,7,1,5,3]=>[3,5,1,7,4,6,8,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [6,8,3,4,1,7,5,2]=>[2,5,7,1,4,3,8,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [6,8,3,7,4,1,5,2]=>[2,5,1,4,7,3,8,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [2,6,8,3,7,5,1,4]=>[4,1,5,7,3,8,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [2,8,1,6,7,5,3,4]=>[4,3,5,7,6,1,8,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [8,2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [8,5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [1,6,8,3,7,2,5,4]=>[4,5,2,7,3,8,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [8,3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [5,8,7,1,3,6,2,4]=>[4,2,6,3,1,7,8,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [8,5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5,8]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [1,4,6,8,2,7,5,3]=>[3,5,7,2,8,6,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,6,5,8,2,7,4,3]=>[3,4,7,2,8,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [8,5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>2 [5,6,2,8,1,7,4,3]=>[3,4,7,1,8,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [1,8,4,5,7,2,6,3]=>[3,6,2,7,5,4,8,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,8,7,3,6,1,2,4]=>[4,2,1,6,3,7,8,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [8,3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [1,6,8,3,7,5,2,4]=>[4,2,5,7,3,8,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [6,3,8,2,7,5,1,4]=>[4,1,5,7,2,8,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [6,8,4,2,7,1,5,3]=>[3,5,1,7,2,4,8,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [8,6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6,8]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,3,2,1]=>2 [8,4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [8,4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [2,8,4,5,7,1,6,3]=>[3,6,1,7,5,4,8,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [8,7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [8,7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7,8]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [5,8,7,2,3,6,1,4]=>[4,1,6,3,2,7,8,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [8,7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [1,3,2,8,5,4,7,6]=>[6,7,4,5,8,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,2,8,5,3,7,1,6]=>[6,1,7,3,5,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,2,1,8,4,3,7,6]=>[6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,2,8,4,3,7,5,1]=>[1,5,7,3,4,8,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [7,3,4,8,2,1,6,5]=>[5,6,1,2,8,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,3,4,8,2,7,5,1]=>[1,5,7,2,8,4,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [5,3,4,1,8,2,7,6]=>[6,7,2,8,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [8,1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,4,3,2,8,7,5,1]=>[1,5,7,8,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [5,6,3,2,7,8,4,1]=>[1,4,8,7,2,3,6,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [4,1,6,3,2,7,8,5]=>[5,8,7,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1,8]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [6,7,3,2,5,4,1,8]=>[8,1,4,5,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,2,1,5,4,8]=>[8,4,5,1,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,7,1,3,8,4]=>[4,8,3,1,7,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,6,5,7,2,8,1,3]=>[3,1,8,2,7,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,6,4,7,2,8,3,1]=>[1,3,8,2,7,4,6,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,5,4,1,7,2,8,3]=>[3,8,2,7,1,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,5,7,1,8,2,3]=>[3,2,8,1,7,5,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,4,6,1,7,8,2,3]=>[3,2,8,7,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,1,4,6,8,7,3,5]=>[5,3,7,8,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,3,6,8,7,2,4,1]=>[1,4,2,7,8,6,3,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [7,3,5,8,6,2,1,4]=>[4,1,2,6,8,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,2,8,5,6,3,1,4]=>[4,1,3,6,5,8,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,2,8,5,1,7,3,4]=>[4,3,7,1,5,8,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,2,1,8,6,7,3,5]=>[5,3,7,6,8,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,3,2,8,6,7,4,5]=>[5,4,7,6,8,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,3,8,6,7,1,4,5]=>[5,4,1,7,6,8,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [8,1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,3,8,7,1,6,5,4]=>[4,5,6,1,7,8,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [4,2,8,7,6,1,5,3]=>[3,5,1,6,7,8,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [5,2,8,7,6,4,1,3]=>[3,1,4,6,7,8,2,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [7,2,1,8,6,5,4,3]=>[3,4,5,6,8,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,2]=>3 [7,3,6,1,8,5,4,2]=>[2,4,5,8,1,6,3,7]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [6,3,7,8,5,4,2,1]=>[1,2,4,5,8,7,3,6]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,2,1,3]=>1 [5,3,7,8,6,4,1,2]=>[2,1,4,6,8,7,3,5]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [8,1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1,8]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>3 [3,5,7,6,8,1,4,2]=>[2,4,1,8,6,7,5,3]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [4,5,7,6,8,3,1,2]=>[2,1,3,8,6,7,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,4,1,7,6,8,3,2]=>[2,3,8,6,7,1,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,4,7,5,8,3,2,1]=>[1,2,3,8,5,7,4,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [7,4,6,5,1,8,3,2]=>[2,3,8,1,5,6,4,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,5,1,7,4,3,8,2]=>[2,8,3,4,7,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,7,5,3,8,1,2]=>[2,1,8,3,5,7,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,6,7,5,1,4,8,2]=>[2,8,4,1,5,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1,1]=>2 [2,7,6,1,5,4,3,8]=>[8,3,4,5,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,6,5,1,4,2,8]=>[8,2,4,1,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,5,3,1,2,8]=>[8,2,1,3,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [5,1,4,2,7,3,6,8]=>[8,6,3,7,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,5,8,2,6,3,4]=>[4,3,6,2,8,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,7,8,1,3,4,6,2]=>[2,6,4,3,1,8,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [5,8,1,7,3,4,6,2]=>[2,6,4,3,7,1,8,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [6,1,2,4,8,7,5,3]=>[3,5,7,8,4,2,1,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [7,1,2,4,6,8,5,3]=>[3,5,8,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [6,1,2,7,4,8,5,3]=>[3,5,8,4,7,2,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [3,1,6,4,7,8,5,2]=>[2,5,8,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,7,1,3,8,4,6,2]=>[2,6,4,8,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,7,1,8,4,2,6,3]=>[3,6,2,4,8,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,1,5,3,2,8,6,4]=>[4,6,8,2,3,5,1,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,7,3,1,5,8,6,2]=>[2,6,8,5,1,3,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,8,7,3,1,5,6,2]=>[2,6,5,1,3,7,8,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [8,1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [3,1,2,8,4,7,5,6]=>[6,5,7,4,8,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,1,2,8,6,4,5,7]=>[7,5,4,6,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,7,2,6,4,5,8]=>[8,5,4,6,2,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,3,8,5,7,6]=>[6,7,5,8,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,1,8,6,4,7,5,2]=>[2,5,7,4,6,8,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [8,1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [1,2,3,5,8,4,7,6]=>[6,7,4,8,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,2,3,5,8,6,4,7]=>[7,4,6,8,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,1,2,8,3,6,5,4]=>[4,5,6,3,8,2,1,7]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [7,1,2,8,6,4,5,3]=>[3,5,4,6,8,2,1,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [8,1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1,8]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>3 [1,2,3,5,8,7,4,6]=>[6,4,7,8,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,2,3,6,8,5,4,7]=>[7,4,5,8,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,8,5,3,6,1,2,4]=>[4,2,1,6,3,5,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,5,6,3,1,4,2,8]=>[8,2,4,1,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,8,3,1,4,2,6]=>[6,2,4,1,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,8,5,3,1,4,2,6]=>[6,2,4,1,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,5,3,1,6,2,4]=>[4,2,6,1,3,5,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,8,5,3,4,1,6,2]=>[2,6,1,4,3,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,8,5,3,1,4,6,2]=>[2,6,4,1,3,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,8,5,3,1,2,6,4]=>[4,6,2,1,3,5,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,5,3,8,1,2,6,4]=>[4,6,2,1,8,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,5,8,3,4,1,6,2]=>[2,6,1,4,3,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [7,5,8,3,4,6,1,2]=>[2,1,6,4,3,8,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [7,5,6,3,4,1,8,2]=>[2,8,1,4,3,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,6,3,1,4,8,2]=>[2,8,4,1,3,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,6,3,1,2,8,4]=>[4,8,2,1,3,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,3,6,1,2,8,4]=>[4,8,2,1,6,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,3,4,1,2,8,6]=>[6,8,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,5,3,1,4,2,6,8]=>[8,6,2,4,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,1,4,2,8,6]=>[6,8,2,4,1,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,5,3,1,6,2,8,4]=>[4,8,2,6,1,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,3,1,6,4,8,2]=>[2,8,4,6,1,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,6,1,4,8,2]=>[2,8,4,1,6,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,6,4,1,8,2]=>[2,8,1,4,6,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,6,4,8,1,2]=>[2,1,8,4,6,3,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,8,4,6,1,2]=>[2,1,6,4,8,3,5,7]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [7,5,3,8,1,4,6,2]=>[2,6,4,1,8,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [7,5,3,1,8,4,6,2]=>[2,6,4,8,1,3,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,5,3,1,8,2,6,4]=>[4,6,2,8,1,3,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,5,3,1,8,2,4,6]=>[6,4,2,8,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,5,3,1,6,2,4,8]=>[8,4,2,6,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,1,6,4,2,8]=>[8,2,4,6,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,1,8,4,2,6]=>[6,2,4,8,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,5,3,1,8,6,2,4]=>[4,2,6,8,1,3,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,7]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,5,8,3,1,6,2,4]=>[4,2,6,1,3,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,5,3,6,1,4,2,8]=>[8,2,4,1,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,6,4,1,2,8]=>[8,2,1,4,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,8,4,1,2,6]=>[6,2,1,4,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,5,8,6,3,1,2,4]=>[4,2,1,3,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,5,6,8,3,1,4,2]=>[2,4,1,3,8,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [7,5,6,3,8,1,2,4]=>[4,2,1,8,3,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,5,3,4,1,6,2,8]=>[8,2,6,1,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,4,1,8,2,6]=>[6,2,8,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,5,6,3,1,8,2,4]=>[4,2,8,1,3,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,5,6,3,1,8,4,2]=>[2,4,8,1,3,6,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,5,6,3,8,1,4,2]=>[2,4,1,8,3,6,5,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,5,6,3,8,4,1,2]=>[2,1,4,8,3,6,5,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,5,3,6,8,4,1,2]=>[2,1,4,8,6,3,5,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,5,3,6,8,1,4,2]=>[2,4,1,8,6,3,5,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,5,3,6,1,8,4,2]=>[2,4,8,1,6,3,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,5,3,1,6,8,4,2]=>[2,4,8,6,1,3,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,5,3,1,6,8,2,4]=>[4,2,8,6,1,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,5,3,1,4,8,2,6]=>[6,2,8,4,1,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,5,3,1,4,6,2,8]=>[8,2,6,4,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,1,2,6,4,8]=>[8,4,6,2,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,1,2,8,4,6]=>[6,4,8,2,1,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,5,3,1,2,8,6,4]=>[4,6,8,2,1,3,5,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,5,3,1,4,8,6,2]=>[2,6,8,4,1,3,5,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,5,3,4,1,8,6,2]=>[2,6,8,1,4,3,5,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,5,3,4,8,1,6,2]=>[2,6,1,8,4,3,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,5,3,4,8,6,1,2]=>[2,1,6,8,4,3,5,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,5,3,4,6,1,8,2]=>[2,8,1,6,4,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,4,1,6,8,2]=>[2,8,6,1,4,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,1,4,6,8,2]=>[2,8,6,4,1,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,1,2,6,8,4]=>[4,8,6,2,1,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,3,1,2,4,8,6]=>[6,8,4,2,1,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,6,2,5,4,1,8,7]=>[7,8,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,2,8,4,7,6,1]=>[1,6,7,4,8,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [5,4,7,3,2,8,6,1]=>[1,6,8,2,3,7,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,4,8,3,2,7,6,1]=>[1,6,7,2,3,8,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [6,4,5,3,2,1,8,7]=>[7,8,1,2,3,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,2,6,4,1,8,7]=>[7,8,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,8,3,2,7,6,1]=>[1,6,7,2,3,8,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [4,7,6,3,8,5,2,1]=>[1,2,5,8,3,6,7,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [4,8,6,3,7,5,2,1]=>[1,2,5,7,3,6,8,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,3,2,1]=>1 [4,8,5,3,2,7,6,1]=>[1,6,7,2,3,5,8,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [5,8,4,3,2,7,6,1]=>[1,6,7,2,3,4,8,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [5,3,2,8,4,7,6,1]=>[1,6,7,4,8,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [2,1,5,8,4,7,6,3]=>[3,6,7,4,8,5,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [5,3,2,7,4,8,6,1]=>[1,6,8,4,7,2,3,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,7,4,3,2,8,6,1]=>[1,6,8,2,3,4,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,7,5,3,2,8,6,1]=>[1,6,8,2,3,5,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,7,8,3,6,5,2,1]=>[1,2,5,6,3,8,7,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,3,1,2]=>1 [4,6,8,3,7,5,2,1]=>[1,2,5,7,3,8,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,3,2,1]=>1 [7,6,4,3,8,5,2,1]=>[1,2,5,8,3,4,6,7]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [7,3,2,6,8,5,4,1]=>[1,4,5,8,6,2,3,7]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [2,1,8,6,7,5,4,3]=>[3,4,5,7,6,8,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,1,2,1]=>3 [8,3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3,8]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,3,1,2,1]=>1 [8,6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,3,2,1]=>1 [8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,2,1,1]=>1 [8,4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4,8]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,3,1,1,1]=>1 [8,4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,3,2,1]=>1 [7,4,6,3,8,5,2,1]=>[1,2,5,8,3,6,4,7]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [3,7,2,6,8,5,4,1]=>[1,4,5,8,6,2,7,3]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [3,8,2,6,7,5,4,1]=>[1,4,5,7,6,2,8,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,1,2,1]=>1 [3,8,2,5,4,7,6,1]=>[1,6,7,4,5,2,8,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [3,7,2,8,6,5,4,1]=>[1,4,5,6,8,2,7,3]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,1,2]=>1 [3,6,2,8,7,5,4,1]=>[1,4,5,7,8,2,6,3]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,3,1,2,1]=>1 [6,4,7,3,8,5,2,1]=>[1,2,5,8,3,7,4,6]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [6,4,8,3,7,5,2,1]=>[1,2,5,7,3,8,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,3,2,1]=>1 [7,4,8,3,6,5,2,1]=>[1,2,5,6,3,8,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,3,1,2]=>1 [7,4,5,3,2,8,6,1]=>[1,6,8,2,3,5,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [7,5,4,3,2,8,6,1]=>[1,6,8,2,3,4,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [7,3,2,5,4,8,6,1]=>[1,6,8,4,5,2,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,1,7,5,4,8,6,3]=>[3,6,8,4,5,7,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,3,2,8,6,5,4,1]=>[1,4,5,6,8,2,3,7]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,1,2]=>1 [7,8,4,3,6,5,2,1]=>[1,2,5,6,3,4,8,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,3,1,2]=>1 [6,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,3,1]=>1 [6,8,4,3,7,5,2,1]=>[1,2,5,7,3,4,8,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,3,2,1]=>1 [6,3,2,8,7,5,4,1]=>[1,4,5,7,8,2,3,6]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,3,1,2,1]=>1 [6,3,2,7,8,5,4,1]=>[1,4,5,8,7,2,3,6]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [6,7,4,3,8,5,2,1]=>[1,2,5,8,3,4,7,6]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [2,3,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,1,5,6,7,8,9]=>[9,8,7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,1,6,7,8,9]=>[9,8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,6,1,7,8,9]=>[9,8,7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,4,3,1,5,6,7,8,9]=>[9,8,7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,3,5,4,1,6,7,8,9]=>[9,8,7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,1,6,7,8,9,10]=>[10,9,8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,3,4,6,5,1,7,8,9]=>[9,8,7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,6,1,7,8,9,10]=>[10,9,8,7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,3,4,5,7,6,1,8,9]=>[9,8,1,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,6,7,1,8,9,10]=>[10,9,8,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,3,4,5,6,8,7,1,9]=>[9,1,7,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,6,7,8,1,9,10]=>[10,9,1,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,7,1]=>1 [4,6,8,3,5,7,1,2]=>[2,1,7,5,3,8,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,8,1,2,4,5,7,3]=>[3,7,5,4,2,1,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,5,8,2,4,7,1,6]=>[6,1,7,4,2,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,2,8,3,1,6,7]=>[7,6,1,3,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,5,8,3,7,1,6]=>[6,1,7,3,8,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,1,6,8,4,7,3,5]=>[5,3,7,4,8,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,2,5,8,3,6,7,4]=>[4,7,6,3,8,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,3,6,8,4,7,1,2]=>[2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,1,2,6,8,5,7,4]=>[4,7,5,8,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,4,3,8,2,6,7,5]=>[5,7,6,2,8,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,4,8,3,2,1,6,7]=>[7,6,1,2,3,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,3,7,2,6,1,8]=>[8,1,6,2,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,2,1,8,5,7]=>[7,5,8,1,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,1,7,8,2,6,5]=>[5,6,2,8,7,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,5,1,2,7,8,6,4]=>[4,6,8,7,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [5,4,7,3,8,6,1,2]=>[2,1,6,8,3,7,4,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,8,4,7,6,3,1,2]=>[2,1,3,6,7,4,8,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>2 [8,3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [4,8,3,1,7,2,6,5]=>[5,6,2,7,1,3,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,7,3,6,5,2,1,8]=>[8,1,2,5,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,6,4,2,1,8]=>[8,1,2,4,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,4,2,8,7,5]=>[5,7,8,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,8,3,6,2,7,5,4]=>[4,5,7,2,6,3,8,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [1,6,8,7,4,2,5,3]=>[3,5,2,4,7,8,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [7,6,4,3,8,5,1,2]=>[2,1,5,8,3,4,6,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [1,7,6,2,8,4,5,3]=>[3,5,4,8,2,6,7,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [6,3,2,1,8,5,4,7]=>[7,4,5,8,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,6,3,7,4,1,8]=>[8,1,4,7,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,7,3,8,5,4,6]=>[6,4,5,8,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,6,7,2,8,4,5,3]=>[3,5,4,8,2,7,6,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,7,1,8,2,4,6,3]=>[3,6,4,2,8,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,1,2,7,8,3,6,4]=>[4,6,3,8,7,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,4,1,7,8,6,3,5]=>[5,3,6,8,7,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,3,2,1,8,4,5,6]=>[6,5,4,8,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,8,3,2,5,6,1,4]=>[4,1,6,5,2,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,1,8,2,4,5,6,3]=>[3,6,5,4,2,8,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [8,7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7,8]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [3,2,8,7,5,1,4,6]=>[6,4,1,5,7,8,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [8,3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,6,3,5,2,4,1,8]=>[8,1,4,2,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,6,2,5,3,1,8]=>[8,1,3,5,2,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5,8]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [6,8,3,7,5,4,1,2]=>[2,1,4,5,7,3,8,6]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>2 [8,1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1,8]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>3 [2,8,1,7,5,4,3,6]=>[6,3,4,5,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,5,1,8,6,4,3,7]=>[7,3,4,6,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,1,8,6,5,4,3,7]=>[7,3,4,5,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,7,5,4,3,8,6]=>[6,8,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,7,2,4,3,8,6,5]=>[5,6,8,3,4,2,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,7,2,8,3,6,5,4]=>[4,5,6,3,8,2,7,1]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [1,7,8,6,5,2,4,3]=>[3,4,2,5,6,8,7,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [7,3,8,6,5,4,1,2]=>[2,1,4,5,6,8,3,7]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>3 [5,1,4,3,2,8,7,6]=>[6,7,8,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [8,6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [4,6,3,2,7,5,1,8]=>[8,1,5,7,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,7,2,5,8,6]=>[6,8,5,2,7,3,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,5,8,3,2,6,4]=>[4,6,2,3,8,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,8,5,3,7,2,6,4]=>[4,6,2,7,3,5,8,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,3,1,8,7,5,2,6]=>[6,2,5,7,8,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,5,4,8,7,1,2,6]=>[6,2,1,7,8,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,1,4,6,8,7,2,5]=>[5,2,7,8,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,6,2,4,8,7,5,3]=>[3,5,7,8,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [7,1,6,4,8,5,2,3]=>[3,2,5,8,4,6,1,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,3,6,8,5,1,2,4]=>[4,2,1,5,8,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,3,7,2,6,8,4,5]=>[5,4,8,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,6,5,2,8,1,4,7]=>[7,4,1,8,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,6,5,7,2,4,1,8]=>[8,1,4,2,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,7,3,5,1,8]=>[8,1,5,3,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,4,7,5,1,8]=>[8,1,5,7,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,2,1,8,6,4]=>[4,6,8,1,2,5,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [8,7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7,8]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>3 [3,8,7,2,1,4,6,5]=>[5,6,4,1,2,7,8,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [3,8,2,7,1,5,4,6]=>[6,4,5,1,7,2,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,6,8,2,1,5,4,7]=>[7,4,5,1,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,4,8,1,6,5,3,7]=>[7,3,5,6,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,2,8,1,5,7,3,6]=>[6,3,7,5,1,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5,8]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [1,6,2,8,7,3,5,4]=>[4,5,3,7,8,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [2,1,5,8,6,4,3,7]=>[7,3,4,6,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,2,5,6,4,3,1,8]=>[8,1,3,4,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,2,7,8,3,6,5,4]=>[4,5,6,3,8,7,2,1]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [7,1,8,6,3,5,4,2]=>[2,4,5,3,6,8,1,7]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [1,8,7,6,3,5,2,4]=>[4,2,5,3,6,7,8,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [7,1,5,8,3,4,6,2]=>[2,6,4,3,8,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [7,1,6,4,2,3,5,8]=>[8,5,3,2,4,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [7,1,4,5,6,8,2,3]=>[3,2,8,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,1,5,4,3,8,2,6]=>[6,2,8,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,1,6,5,4,3,2,8]=>[8,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,4,8,6,2,7]=>[7,2,6,8,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,8,7,2,3,1,4]=>[4,1,3,2,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [3,4,7,2,5,8,1,6]=>[6,1,8,5,2,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,6,8,1,3,5,2,7]=>[7,2,5,3,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,8,1,2,7,5,6]=>[6,5,7,2,1,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,8,3,1,5,6,4,7]=>[7,4,6,5,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,7,1,5,4,2,6]=>[6,2,4,5,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,3,1,7,6,8,2,5]=>[5,2,8,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,4,1,7,5,6,8,2]=>[2,8,6,5,7,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,7,4,1,6,2,8,5]=>[5,8,2,6,1,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [4,7,8,1,2,3,6,5]=>[5,6,3,2,1,8,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,6,5,1,3,8,2,4]=>[4,2,8,3,1,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,6,5,1,3,4,8,2]=>[2,8,4,3,1,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,5,2,1,3,8,4]=>[4,8,3,1,2,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [7,3,8,4,1,5,2,6]=>[6,2,5,1,4,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,2,3,4,1,6,5,8]=>[8,5,6,1,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,8,3,6,1,5,7]=>[7,5,1,6,3,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,8,5,2,7,1,3,6]=>[6,3,1,7,2,5,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,3,5,2,1,7,4,8]=>[8,4,7,1,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,4,2,8,1,7]=>[7,1,8,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,4,7,2,5,3,8]=>[8,3,5,2,7,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,4,8,2,5,3,7]=>[7,3,5,2,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,5,8,2,4,3,7]=>[7,3,4,2,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,8,2,4,3,7,5]=>[5,7,3,4,2,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,6,2,4,3,7,8,5]=>[5,8,7,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,5,6,2,4,7,3,8]=>[8,3,7,4,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,6,2,4,7,8,3]=>[3,8,7,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,5,8,2,4,7,3,6]=>[6,3,7,4,2,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,5,7,2,4,8,3,6]=>[6,3,8,4,2,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,6,5,7,2,4,3,8]=>[8,3,4,2,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,2,4,3,8,5]=>[5,8,3,4,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,5,6,7,2,4,8,3]=>[3,8,4,2,7,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,5,8,2,4,6,7,3]=>[3,7,6,4,2,8,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,5,7,2,4,6,8,3]=>[3,8,6,4,2,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,5,7,8,3,2,4,6]=>[6,4,2,3,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,5,8,3,2,4,6,7]=>[7,6,4,2,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,6,2,4,8,3,7]=>[7,3,8,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,7,6,2,8,3,4,5]=>[5,4,3,8,2,6,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,7,3,4,2,8,6,5]=>[5,6,8,2,4,3,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,6,2,4,3,8,7,5]=>[5,7,8,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,5,6,2,4,8,7,3]=>[3,7,8,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,5,8,7,3,2,4,6]=>[6,4,2,3,7,8,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,4,2,3,5,8,7,6]=>[6,7,8,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,5,2,3,4,8,7,6]=>[6,7,8,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,6,5,2,3,8,7,4]=>[4,7,8,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [1,7,4,2,8,6,5,3]=>[3,5,6,8,2,4,7,1]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [1,7,6,5,2,8,4,3]=>[3,4,8,2,5,6,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,6,7,5,2,3,8,4]=>[4,8,3,2,5,7,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,5,2,8,4,3,6]=>[6,3,4,8,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,7,5,6,2,8,3,4]=>[4,3,8,2,6,5,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,5,7,6,2,4,8,3]=>[3,8,4,2,6,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,5,8,3,2,4,7,6]=>[6,7,4,2,3,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,6,5,2,3,7,4,8]=>[8,4,7,3,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,2,3,7,8,4]=>[4,8,7,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,8,4,2,3,7,5]=>[5,7,3,2,4,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,7,4,6,2,8,3,5]=>[5,3,8,2,6,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,3,5,2,8,4,6]=>[6,4,8,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,6,8,5,2,3,7,4]=>[4,7,3,2,5,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,6,4,2,3,7,8,5]=>[5,8,7,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,6,4,2,3,7,5,8]=>[8,5,7,3,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,8,6,2,4,7,3]=>[3,7,4,2,6,8,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,5,7,3,2,4,8,6]=>[6,8,4,2,3,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,7,3,4,2,8,5,6]=>[6,5,8,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,7,4,2,8,5,3,6]=>[6,3,5,8,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,6,7,4,2,3,8,5]=>[5,8,3,2,4,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,6,4,2,3,8,5,7]=>[7,5,8,3,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,7,6,4,2,8,5,3]=>[3,5,8,2,4,6,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [1,7,5,2,8,6,4,3]=>[3,4,6,8,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [1,6,4,2,3,8,7,5]=>[5,7,8,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,3,5,6,1,4,8,2]=>[2,8,4,1,6,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,7,5,6,1,4,8,2]=>[2,8,4,1,6,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [3,6,1,4,2,8,5,7]=>[7,5,8,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,7,4,3,5,8,2]=>[2,8,5,3,4,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,1,4,3,5,8,2]=>[2,8,5,3,4,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,1,4,3,5,8,2]=>[2,8,5,3,4,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,4,1,6,7,8,2]=>[2,8,7,6,1,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,7,1,6,3,5,8,2]=>[2,8,5,3,6,1,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,1,4,7,6,5,8,2]=>[2,8,5,6,7,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,7,4,3,5,8,2]=>[2,8,5,3,4,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,6,4,3,5,8,2]=>[2,8,5,3,4,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,7,6,4,3,5,8,2]=>[2,8,5,3,4,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [4,7,1,3,8,2,5,6]=>[6,5,2,8,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,1,3,8,2,5,6]=>[6,5,2,8,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,6,4,2,8,5,7]=>[7,5,8,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,7,3,1,2,8,5,6]=>[6,5,8,2,1,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,8,1,2,6,5,3]=>[3,5,6,2,1,8,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [6,8,1,4,2,7,5,3]=>[3,5,7,2,4,1,8,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [1,8,6,4,2,7,5,3]=>[3,5,7,2,4,6,8,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [4,8,1,3,7,2,5,6]=>[6,5,2,7,3,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7,8]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [6,8,5,7,3,2,1,4]=>[4,1,2,3,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [1,8,4,3,7,2,5,6]=>[6,5,2,7,3,4,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,3,4,7,6,1,5]=>[5,1,6,7,4,3,8,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,7,8,4,6,2,1,5]=>[5,1,2,6,4,8,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [3,7,4,6,8,2,1,5]=>[5,1,2,8,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,4,3,7,8,6,1,5]=>[5,1,6,8,7,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,4,7,3,8,2,5,6]=>[6,5,2,8,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,7,6,8,3,2,1,4]=>[4,1,2,3,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [2,5,3,4,8,6,1,7]=>[7,1,6,8,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,7,5,4,8,2,1,6]=>[6,1,2,8,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,3,4,2,8,5,6]=>[6,5,8,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,1,4,3,8,2,5,7]=>[7,5,2,8,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,7,3,8,2,5,6]=>[6,5,2,8,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [4,2,3,7,8,6,1,5]=>[5,1,6,8,7,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,2,3,4,8,6,1,7]=>[7,1,6,8,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,7,5,6,3,8,1,4]=>[4,1,8,3,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,2,6,3,8,1,4]=>[4,1,8,3,6,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,2,6,8,4,1,3]=>[3,1,4,8,6,2,7,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [7,2,5,6,8,4,1,3]=>[3,1,4,8,6,5,2,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [4,2,3,8,5,6,1,7]=>[7,1,6,5,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,3,8,7,6,1,4]=>[4,1,6,7,8,3,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [8,2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [6,1,8,3,7,2,5,4]=>[4,5,2,7,3,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [1,7,8,4,2,6,5,3]=>[3,5,6,2,4,8,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [4,7,1,8,2,5,6,3]=>[3,6,5,2,8,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,7,4,8,5,2,1,6]=>[6,1,2,5,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,4,3,8,5,6,1,7]=>[7,1,6,5,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,8,3,6,2,5,7]=>[7,5,2,6,3,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,5,8,6,3,2,1,4]=>[4,1,2,3,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [6,5,8,7,3,2,1,4]=>[4,1,2,3,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [8,5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5,8]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,2,1,1]=>4 [2,5,3,8,7,6,1,4]=>[4,1,6,7,8,3,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,7,5,8,6,2,1,4]=>[4,1,2,6,8,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,7,8,6,5,2,1,4]=>[4,1,2,5,6,8,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [1,8,7,3,6,2,5,4]=>[4,5,2,6,3,7,8,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [6,8,7,5,3,2,1,4]=>[4,1,2,3,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [5,7,6,8,3,4,1,2]=>[2,1,4,3,8,6,7,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [3,7,6,8,4,5,1,2]=>[2,1,5,4,8,6,7,3]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [1,5,4,7,6,8,2,3]=>[3,2,8,6,7,4,5,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,7,4,6,5,8,2,3]=>[3,2,8,5,6,4,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,7,4,6,5,8,1,2]=>[2,1,8,5,6,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,5,4,8,6,7,1,2]=>[2,1,7,6,8,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,8,4,6,5,7,1,2]=>[2,1,7,5,6,4,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,6,4,7,5,8,1,2]=>[2,1,8,5,7,4,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [1,6,2,7,5,8,3,4]=>[4,3,8,5,7,2,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,4,8,5,7,2,3]=>[3,2,7,5,8,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,8,4,6,5,7,2,3]=>[3,2,7,5,6,4,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,5,4,8,6,7,2,3]=>[3,2,7,6,8,4,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,8,1,5,4,6,2,3]=>[3,2,6,4,5,1,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,8,1,5,2,4,3,6]=>[6,3,4,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [1,8,2,6,5,7,3,4]=>[4,3,7,5,6,2,8,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,7,2,8,5,6,3,4]=>[4,3,6,5,8,2,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,7,2,6,5,8,3,4]=>[4,3,8,5,6,2,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,5,2,7,6,8,3,4]=>[4,3,8,6,7,2,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,7,6,8,2,5,3,4]=>[4,3,5,2,8,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,7,6,8,4,5,2,3]=>[3,2,5,4,8,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [5,7,6,8,1,4,2,3]=>[3,2,4,1,8,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [7,8,5,6,1,3,2,4]=>[4,2,3,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>4 [5,8,6,7,1,3,2,4]=>[4,2,3,1,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [1,3,2,7,6,8,4,5]=>[5,4,8,6,7,2,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,6,8,2,4,3,5]=>[5,3,4,2,8,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,8,1,3,2,6,4,5]=>[5,4,6,2,3,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,1,6,2,4,3,5]=>[5,3,4,2,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [1,8,6,7,2,4,3,5]=>[5,3,4,2,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [7,8,1,4,2,6,3,5]=>[5,3,6,2,4,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,1,4,2,5,3,6]=>[6,3,5,2,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,1,4,3,6,5]=>[5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,1,2,4,3,5,6]=>[6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [4,3,6,5,8,7,1,2]=>[2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,4,6,5,7,8,1,2]=>[2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,4,1,5,6,7,8,9,2]=>[2,9,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [3,4,5,1,6,7,8,9,2]=>[2,9,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [3,4,5,6,1,7,8,9,2]=>[2,9,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [3,4,5,6,7,1,8,9,2]=>[2,9,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [3,4,5,6,7,8,1,9,2]=>[2,9,1,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [3,1,2,5,6,7,8,9,4]=>[4,9,8,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,5]=>4 [3,4,1,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [3,4,1,2,6,7,8,9,5]=>[5,9,8,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>5 [3,4,5,1,6,7,8,9,10,2]=>[2,10,9,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [3,4,5,1,2,7,8,9,6]=>[6,9,8,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [3,4,5,6,1,7,8,9,10,2]=>[2,10,9,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [3,4,5,6,1,2,8,9,7]=>[7,9,8,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [3,4,5,6,7,1,8,9,10,2]=>[2,10,9,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [3,4,5,6,7,1,2,9,8]=>[8,9,2,1,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [3,4,5,6,7,8,1,9,10,2]=>[2,10,9,1,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [3,4,5,6,7,8,1,2,9]=>[9,2,1,8,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,4,5,6,7,8,9,1,10,2]=>[2,10,1,9,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [1,6,2,3,8,7,4,5]=>[5,4,7,8,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,7,4,3,2,8,6,5]=>[5,6,8,2,3,4,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,4,7,6,2,5,8,3]=>[3,8,5,2,6,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,6,5,3,7,4,8]=>[8,4,7,3,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,5,3,7,8,4]=>[4,8,7,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,7,5,2,6,8,4]=>[4,8,6,2,5,7,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,7,4,2,6,8,5]=>[5,8,6,2,4,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,6,4,3,7,8,5]=>[5,8,7,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,6,4,3,7,5,8]=>[8,5,7,3,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,7,3,2,5,8,6]=>[6,8,5,2,3,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,3,2,5,8,6,7]=>[7,6,8,5,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,3,2,4,8,6,7]=>[7,6,8,4,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,7,5,3,2,8,6,4]=>[4,6,8,2,3,5,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,5,3,2,4,8,7,6]=>[6,7,8,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,7,6,5,4,3,1,9,2]=>[2,9,1,3,4,5,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [7,9,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [9,8,7,6,5,4,3,1,10,2]=>[2,10,1,3,4,5,6,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [8,10,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [7,6,1,4,3,8,5,2]=>[2,5,8,3,4,1,6,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [3,8,5,4,7,2,1,6]=>[6,1,2,7,4,5,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [9,11,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,11,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1]=>10 [7,6,5,1,3,8,4,2]=>[2,4,8,3,1,5,6,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,6,3,4,8,7,5,2]=>[2,5,7,8,4,3,6,1]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [1,4,5,8,3,7,6,2]=>[2,6,7,3,8,5,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [6,8,5,4,1,2,7,3]=>[3,7,2,1,4,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,8,5,2,3,7,6,4]=>[4,6,7,3,2,5,8,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [6,8,2,4,3,7,1,5]=>[5,1,7,3,4,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,3,4,7,2,6,5]=>[5,6,2,7,4,3,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [7,5,8,4,3,2,1,6]=>[6,1,2,3,4,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,8,5,7,3,2,1,6]=>[6,1,2,3,7,5,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [5,1,7,6,8,4,3,2]=>[2,3,4,8,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [6,4,8,5,2,7,1,3]=>[3,1,7,2,5,8,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,1,8,6,7,4,3,2]=>[2,3,4,7,6,8,1,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,1,3,1]=>2 [6,4,5,8,1,2,7,3]=>[3,7,2,1,8,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,4,6,5,2,1,8,3]=>[3,8,1,2,5,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,6,5,2,4,1,8,7]=>[7,8,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,3,6,4,1,8,7]=>[7,8,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,4,5,3,2,8,7]=>[7,8,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,8,7,1,4,6,5,2]=>[2,5,6,4,1,7,8,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [5,7,1,2,4,3,8,6]=>[6,8,3,4,2,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,7,6,8,2,5,1]=>[1,5,2,8,6,7,3,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [5,3,6,8,1,7,2,4]=>[4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,2,6,8,5,7,1,4]=>[4,1,7,5,8,6,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,3,7,2,4,8,5,1]=>[1,5,8,4,2,7,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,4,8,6,5,2,1,3]=>[3,1,2,5,6,8,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [2,5,3,7,4,1,8,6]=>[6,8,1,4,7,3,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [7,4,3,8,2,5,6,1]=>[1,6,5,2,8,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,4,1,5,8,2,7,3]=>[3,7,2,8,5,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,5,8,7,3,6,1,4]=>[4,1,6,3,7,8,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [2,1,5,8,7,4,6,3]=>[3,6,4,7,8,5,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [7,4,3,2,8,5,6,1]=>[1,6,5,8,2,3,4,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [4,2,7,1,8,5,6,3]=>[3,6,5,8,1,7,2,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,7,8,3,1,5,6,2]=>[2,6,5,1,3,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [3,4,7,2,8,5,6,1]=>[1,6,5,8,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [7,2,3,4,8,5,6,1]=>[1,6,5,8,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [6,1,8,5,2,7,4,3]=>[3,4,7,2,5,8,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [2,1,7,4,5,8,6,3]=>[3,6,8,5,4,7,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [8,2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [7,8,2,6,4,1,5,3]=>[3,5,1,4,6,2,8,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>3 [5,1,6,8,4,7,2,3]=>[3,2,7,4,8,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [2,6,4,8,5,3,7,1]=>[1,7,3,5,8,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [7,3,5,8,4,2,1,6]=>[6,1,2,4,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [4,8,7,5,6,1,2,3]=>[3,2,1,6,5,7,8,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [7,2,8,4,3,5,6,1]=>[1,6,5,3,4,8,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [4,7,8,1,3,5,6,2]=>[2,6,5,3,1,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [3,1,8,7,2,5,6,4]=>[4,6,5,2,7,8,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [6,4,8,7,1,3,2,5]=>[5,2,3,1,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [2,8,4,6,7,3,1,5]=>[5,1,3,7,6,4,8,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [4,3,8,2,7,6,1,5]=>[5,1,6,7,2,8,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [6,8,4,2,1,3,7,5]=>[5,7,3,1,2,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,8,3,7,1,5,6,4]=>[4,6,5,1,7,3,8,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [6,4,1,3,2,8,5,7]=>[7,5,8,2,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,8,6,2,1,4,7]=>[7,4,1,2,6,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,7,5,1,8,2,6]=>[6,2,8,1,5,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,8,5,2,7,4,3,1]=>[1,3,4,7,2,5,8,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,1,3,1]=>1 [7,2,5,4,3,8,1,6]=>[6,1,8,3,4,5,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,6,8,1,4,5,2,7]=>[7,2,5,4,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,1,2,4,5,3,7]=>[7,3,5,4,2,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,1,6,5,8,2,3,7]=>[7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,8,6,2,5,1,7]=>[7,1,5,2,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,3,6,8,4,5,1,7]=>[7,1,5,4,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,5,4,3,8,1,6]=>[6,1,8,3,4,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,8,4,3,7,6,1,2]=>[2,1,6,7,3,4,8,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [1,7,4,3,8,6,2,5]=>[5,2,6,8,3,4,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,1,5,3,4,8,2,6]=>[6,2,8,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,8,6,1,7,4,5,3]=>[3,5,4,7,1,6,8,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [4,8,6,5,7,2,1,3]=>[3,1,2,7,5,6,8,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [8,5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [2,5,8,6,3,4,7,1]=>[1,7,4,3,6,8,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,1,3,8,5,6,7,2]=>[2,7,6,5,8,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,2,8,1,3,6,4,5]=>[5,4,6,3,1,8,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,8,3,2,5,6,7,4]=>[4,7,6,5,2,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,8,3,1,5,6,7,4]=>[4,7,6,5,1,3,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [3,1,2,7,8,6,4,5]=>[5,4,6,8,7,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,5,8,1,2,4,7,6]=>[6,7,4,2,1,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,8,1,2,3,7,6]=>[6,7,3,2,1,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,2,7,1,8,6,3,5]=>[5,3,6,8,1,7,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,4,8,2,3,6,7,1]=>[1,7,6,3,2,8,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,8,3,6,7,4,1,2]=>[2,1,4,7,6,3,8,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [2,3,1,6,8,4,7,5]=>[5,7,4,8,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,3,7,1,8,5,6]=>[6,5,8,1,7,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,1,4,3,8,5,6]=>[6,5,8,3,4,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,8,5,1,7,2,3,4]=>[4,3,2,7,1,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [7,6,3,5,8,2,1,4]=>[4,1,2,8,5,3,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [8,2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,6,1,8,3,7,5,4]=>[4,5,7,3,8,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [4,7,1,6,2,8,5,3]=>[3,5,8,2,6,1,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [3,6,8,5,1,2,7,4]=>[4,7,2,1,5,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,5,2,4,8,1,7,3]=>[3,7,1,8,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,8,2,5,1,6,7,3]=>[3,7,6,1,5,2,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,4,8,5,2,6,7,1]=>[1,7,6,2,5,8,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,2,1,8,5,6,7,3]=>[3,7,6,5,8,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,5,4,8,2,6,7,3]=>[3,7,6,2,8,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,2,1,5,8,6,3,4]=>[4,3,6,8,5,1,2,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,4,8,3,7,6,1,2]=>[2,1,6,7,3,8,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [6,3,4,8,5,1,7,2]=>[2,7,1,5,8,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,3,4,8,1,6,7,2]=>[2,7,6,1,8,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,6,1,2,8,3,5,4]=>[4,5,3,8,2,1,6,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,5,8,4,1,2,6,3]=>[3,6,2,1,4,8,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,7]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [6,5,4,8,7,1,3,2]=>[2,3,1,7,8,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>2 [6,5,4,8,1,2,7,3]=>[3,7,2,1,8,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,5,1,6,2,3,8,4]=>[4,8,3,2,6,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,1,6,8,2,4,3]=>[3,4,2,8,6,1,5,7]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [6,5,4,1,8,2,7,3]=>[3,7,2,8,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,5,4,7,1,2,8,3]=>[3,8,2,1,7,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,4,7,8,1,3,2]=>[2,3,1,8,7,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [6,5,3,7,1,4,2,8]=>[8,2,4,1,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,1,8,4,2,7]=>[7,2,4,8,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,5,1,4,8,3,2,6]=>[6,2,3,8,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1,8]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>2 [7,5,1,4,8,3,6,2]=>[2,6,3,8,4,1,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [6,5,3,7,1,4,8,2]=>[2,8,4,1,7,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,3,1,5,8,7,2]=>[2,7,8,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [7,4,1,5,3,8,6,2]=>[2,6,8,3,5,1,4,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [8,1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [8,1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,4,1,5,3,8,2,6]=>[6,2,8,3,5,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,4,1,5,3,2,6,8]=>[8,6,2,3,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,5,3,1,2,7,4,8]=>[8,4,7,2,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,8,1,4,2,7]=>[7,2,4,1,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,6,8,1,4,3,2,5]=>[5,2,3,4,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [7,6,1,2,5,4,8,3]=>[3,8,4,5,2,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,3,8,1,4,7,2]=>[2,7,4,1,8,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,5,3,1,2,7,8,4]=>[4,8,7,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,1,4,2,6,8,3]=>[3,8,6,2,4,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,4,1,5,3,2,8,6]=>[6,8,2,3,5,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,4,3,1,5,2,8,7]=>[7,8,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,3,1,5,7,2,8]=>[8,2,7,5,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,1,5,3,6,2,8]=>[8,2,6,3,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,4,1,5,3,6,8,2]=>[2,8,6,3,5,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,3,1,5,7,8,2]=>[2,8,7,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,3,8,4,5,1,2]=>[2,1,5,4,8,3,7,6]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [4,7,5,6,2,3,1,8]=>[8,1,3,2,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,6,1,8,2,3]=>[3,2,8,1,6,5,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,7,5,6,3,8,1,2]=>[2,1,8,3,6,5,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,7,5,8,4,6,1,2]=>[2,1,6,4,8,5,7,3]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,5,3,8,6,7,1,2]=>[2,1,7,6,8,3,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,8,3,6,5,7,1,2]=>[2,1,7,5,6,3,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,6,4,7,1,8,2,3]=>[3,2,8,1,7,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,6,1,7,3,8,2,4]=>[4,2,8,3,7,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,1,8,2,7,3,4]=>[4,3,7,2,8,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,6,1,8,4,7,2,3]=>[3,2,7,4,8,1,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,8,1,6,5,7,2,3]=>[3,2,7,5,6,1,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,5,1,8,6,7,2,3]=>[3,2,7,6,8,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,8,4,5,1,6,2,3]=>[3,2,6,1,5,4,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [4,8,2,3,1,6,5,7]=>[7,5,6,1,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,6,2,8,1,4,3,7]=>[7,3,4,1,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,3,4,1,8,2,7]=>[7,2,8,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,4,5,2,7,1,8]=>[8,1,7,2,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,4,5,1,8,2,7]=>[7,2,8,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,8,3,6,1,5,4,7]=>[7,4,5,1,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,3,4,1,6,5,7]=>[7,5,6,1,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,8,2,5,3,4,1,6]=>[6,1,4,3,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,1,5,3,6,2,4]=>[4,2,6,3,5,1,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [1,5,3,8,6,7,2,4]=>[4,2,7,6,8,3,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,8,3,6,2,7,4,5]=>[5,4,7,2,6,3,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,6,4,8,2,7,3,5]=>[5,3,7,2,8,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,6,4,7,3,5,1,8]=>[8,1,5,3,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,3,6,4,5,1,8]=>[8,1,5,4,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,6,4,8,2,5]=>[5,2,8,4,6,3,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,2,8,4,6,3,5]=>[5,3,6,4,8,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,7,5,8,4,6,2,3]=>[3,2,6,4,8,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [1,7,5,8,2,6,3,4]=>[4,3,6,2,8,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,7,5,6,3,8,2,4]=>[4,2,8,3,6,5,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,7,5,6,3,4,1,8]=>[8,1,4,3,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,2,5,3,4,1,8]=>[8,1,4,3,5,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,5,3,8,2,4]=>[4,2,8,3,5,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,7,5,8,1,4,2,3]=>[3,2,4,1,8,5,7,6]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [5,8,6,7,2,3,1,4]=>[4,1,3,2,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [6,7,2,3,1,8,4,5]=>[5,4,8,1,3,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,7,2,8,1,4,3,5]=>[5,3,4,1,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [3,4,2,7,5,6,1,8]=>[8,1,6,5,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,7,5,8,2,6]=>[6,2,8,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,5,8,1,4,3,6]=>[6,3,4,1,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,3,1,7,5,8,4,6]=>[6,4,8,5,7,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,1,8,4,7,5,6]=>[6,5,7,4,8,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,8,2,3,1,6,4,5]=>[5,4,6,1,3,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,2,6,1,4,3,5]=>[5,3,4,1,6,2,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [2,8,6,7,1,4,3,5]=>[5,3,4,1,7,6,8,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [2,8,1,4,3,7,5,6]=>[6,5,7,3,4,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,7,2,5,4,6,1,8]=>[8,1,6,4,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,7,3,6,1,8]=>[8,1,6,3,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,8,2,7,3,6]=>[6,3,7,2,8,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,1,8,2,7,5,6]=>[6,5,7,2,8,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,1,8,6,7,2,5]=>[5,2,7,6,8,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,4,2,5,1,8,6,7]=>[7,6,8,1,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,2,8,1,6,5,7]=>[7,5,6,1,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,8,2,5,1,6,4,7]=>[7,4,6,1,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,2,8,1,6,3,7]=>[7,3,6,1,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,3,6,1,8,2,7]=>[7,2,8,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,1,5,8,4,6,2,3]=>[3,2,6,4,8,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [8,6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6,8]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [8,6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6,8]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [8,6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [7,6,1,8,3,5,2,4]=>[4,2,5,3,8,1,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,6,1,3,8,5,2,4]=>[4,2,5,8,3,1,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,6,8,2,4,5,1,3]=>[3,1,5,4,2,8,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [7,6,2,8,3,5,1,4]=>[4,1,5,3,8,2,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,6,2,3,8,5,1,4]=>[4,1,5,8,3,2,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [8,7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [8,6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6,8]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [6,8,7,3,4,1,5,2]=>[2,5,1,4,3,7,8,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,2,1]=>2 [8,7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [5,8,7,3,1,4,2,6]=>[6,2,4,1,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,8,7,3,1,4,6,2]=>[2,6,4,1,3,7,8,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [8,5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [6,1,5,8,4,2,7,3]=>[3,7,2,4,8,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,8,3,6,4,1,2,7]=>[7,2,1,4,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,2,8,6,4,1,3,7]=>[7,3,1,4,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,8,6,3,5,1,2,7]=>[7,2,1,5,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,7,3,1,5,2,6]=>[6,2,5,1,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [8,4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [3,8,7,4,1,2,5,6]=>[6,5,2,1,4,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [8,7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [3,6,5,4,1,2,8,7]=>[7,8,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,8,5,6,7,4,1,2]=>[2,1,4,7,6,5,8,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [4,7,5,8,6,2,1,3]=>[3,1,2,6,8,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>3 [2,5,7,8,6,3,4,1]=>[1,4,3,6,8,7,5,2]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [5,8,1,3,7,6,4,2]=>[2,4,6,7,3,1,8,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,2,2,1,1]=>2 [4,2,6,8,5,7,3,1]=>[1,3,7,5,8,6,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [2,1,5,8,7,6,3,4]=>[4,3,6,7,8,5,1,2]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,1,4,7,6,3,8,5]=>[5,8,3,6,7,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,7,8,5,3,2,1]=>[1,2,3,5,8,7,4,6]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,2,3]=>1 [6,3,7,1,5,2,8,4]=>[4,8,2,5,1,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,6,8,4,7,5,1]=>[1,5,7,4,8,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [8,4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,4,3,8,2,1,5,6]=>[6,5,1,2,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,7,5,8,1,6,3,2]=>[2,3,6,1,8,5,7,4]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [6,4,3,2,7,8,1,5]=>[5,1,8,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,7,1,4,6,8,5,2]=>[2,5,8,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,4,3,8,7,5,6,1]=>[1,6,5,7,8,3,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [2,6,7,3,5,1,8,4]=>[4,8,1,5,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,6,8,4,2,5,3,1]=>[1,3,5,2,4,8,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,2,3]=>1 [6,5,7,2,8,4,3,1]=>[1,3,4,8,2,7,5,6]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [6,5,8,2,1,7,3,4]=>[4,3,7,1,2,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,4,3,5,1,6,8,2]=>[2,8,6,1,5,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,1,6,3,5,8,7,2]=>[2,7,8,5,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,2,5,8,4,3,7,1]=>[1,7,3,4,8,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [8,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,8]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>2 [2,1,6,5,8,4,7,3]=>[3,7,4,8,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,1,6,8,5,4,3,7]=>[7,3,4,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,8,5,6,2,3,7]=>[7,3,2,6,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,4,8,7,3,5,1]=>[1,5,3,7,8,4,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [6,2,8,4,3,5,1,7]=>[7,1,5,3,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,8,2,7,5,4,6]=>[6,4,5,7,2,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,1,2,6,7,4,5]=>[5,4,7,6,2,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,8,4,3,2,7,1,6]=>[6,1,7,2,3,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,4,8,6,3,2,5,1]=>[1,5,2,3,6,8,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [5,8,4,7,2,1,3,6]=>[6,3,1,2,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [6,3,8,2,4,5,7,1]=>[1,7,5,4,2,8,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,8,4,2,3,6,1,7]=>[7,1,6,3,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,2,4,3,1,6,7]=>[7,6,1,3,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,8,3,4,5,7,6]=>[6,7,5,4,3,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,2,3,8,4,6,7,5]=>[5,7,6,4,8,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,8,2,3,5,4,6,7]=>[7,6,4,5,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,8,2,3,6,4,5]=>[5,4,6,3,2,8,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,6,7,8,2,3,5,4]=>[4,5,3,2,8,7,6,1]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,7,8,2,5,3,6,4]=>[4,6,3,5,2,8,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,7,8,2,4,5,3,6]=>[6,3,5,4,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,2,8,3,6,4,5,7]=>[7,5,4,6,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,8,3,5,4,6,7]=>[7,6,4,5,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,2,7,8,3,6,4]=>[4,6,3,8,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,8,2,3,4,6,7,5]=>[5,7,6,4,3,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,7,8,2,4,3,6,5]=>[5,6,3,4,2,8,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,6,3,1,5,2,4,8]=>[8,4,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,1,5,2,8,4]=>[4,8,2,5,1,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,8,3,1,5,2,7,4]=>[4,7,2,5,1,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,8,4,5,1,2,7,3]=>[3,7,2,1,5,4,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,7,4,5,1,2,8,3]=>[3,8,2,1,5,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,2,1,6,5,3,4,8]=>[8,4,3,5,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,1,5,2,4,8]=>[8,4,2,5,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,6,5,1,2,3,8]=>[8,3,2,1,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,4,1,2,8,3]=>[3,8,2,1,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,8,6,4,1,7,2,3]=>[3,2,7,1,4,6,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,7,6,4,1,8,2,3]=>[3,2,8,1,4,6,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,6,7,4,1,8,2,3]=>[3,2,8,1,4,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,5,7,4,1,2,8,3]=>[3,8,2,1,4,7,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,7,5,1,2,8,3]=>[3,8,2,1,5,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,2,1,7,5,3,8,4]=>[4,8,3,5,7,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,8,1,5,2,7,4]=>[4,7,2,5,1,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,4,8,5,1,2,7,3]=>[3,7,2,1,5,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,5,8,4,1,2,7,3]=>[3,7,2,1,4,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,6,8,4,1,7,2,3]=>[3,2,7,1,4,8,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,6,8,5,7,1,2,3]=>[3,2,1,7,5,8,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>3 [4,5,8,6,7,1,2,3]=>[3,2,1,7,6,8,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>3 [5,4,8,6,1,7,2,3]=>[3,2,7,1,6,8,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,3,8,1,6,7,2,4]=>[4,2,7,6,1,8,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,2,1,8,6,7,3,4]=>[4,3,7,6,8,1,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,2,1,7,6,8,3,4]=>[4,3,8,6,7,1,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,4,7,6,1,8,2,3]=>[3,2,8,1,6,7,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,5,7,6,8,1,2,3]=>[3,2,1,8,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [4,6,7,5,8,1,2,3]=>[3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [4,8,6,5,7,1,2,3]=>[3,2,1,7,5,6,8,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [4,8,5,6,7,1,2,3]=>[3,2,1,7,6,5,8,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [4,7,5,6,8,1,2,3]=>[3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [4,6,5,7,8,1,2,3]=>[3,2,1,8,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,7,4,6,1,8,2,3]=>[3,2,8,1,6,4,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,8,4,6,1,7,2,3]=>[3,2,7,1,6,4,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,8,3,1,6,7,2,4]=>[4,2,7,6,1,3,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,7,3,1,6,8,2,4]=>[4,2,8,6,1,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,3,1,7,8,2,4]=>[4,2,8,7,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,2,1,4,3,8,7,5]=>[5,7,8,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [5,8,3,1,7,6,2,4]=>[4,2,6,7,1,3,8,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [5,7,4,8,1,6,2,3]=>[3,2,6,1,8,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,2,1,6,8,7,3,4]=>[4,3,7,8,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,4,6,8,1,7,2,3]=>[3,2,7,1,8,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,5,6,8,7,1,2,3]=>[3,2,1,7,8,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>3 [4,7,5,8,6,1,2,3]=>[3,2,1,6,8,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,8,5,7,6,1,2,3]=>[3,2,1,6,7,5,8,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [4,8,6,7,5,1,2,3]=>[3,2,1,5,7,6,8,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [4,7,6,8,5,1,2,3]=>[3,2,1,5,8,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [4,6,7,8,5,1,2,3]=>[3,2,1,5,8,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [4,5,7,8,6,1,2,3]=>[3,2,1,6,8,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,4,7,8,1,6,2,3]=>[3,2,6,1,8,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,3,7,1,8,6,2,4]=>[4,2,6,8,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,2,1,7,8,6,3,4]=>[4,3,6,8,7,1,2,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,3,8,1,7,6,2,4]=>[4,2,6,7,1,8,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,4,8,7,1,6,2,3]=>[3,2,6,1,7,8,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [4,6,8,7,5,1,2,3]=>[3,2,1,5,7,8,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [4,7,8,6,5,1,2,3]=>[3,2,1,5,6,8,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [4,8,7,6,5,1,2,3]=>[3,2,1,5,6,7,8,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [2,5,4,7,3,6,1,8]=>[8,1,6,3,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,3,7,5,1,8]=>[8,1,5,7,3,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,1,6,4,8,7]=>[7,8,4,6,1,3,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,5,3,7,6,4,1,8]=>[8,1,4,6,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,3,7,4,1,8]=>[8,1,4,7,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,7,6,3,5,1,8]=>[8,1,5,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,3,6,4,1,8]=>[8,1,4,6,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,7,5,4,1,8]=>[8,1,4,5,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,8,6,5,4,7]=>[7,4,5,6,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,2,8,3,4,7,6]=>[6,7,4,3,8,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,6,3,8,7,4,5]=>[5,4,7,8,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,2,8,3,6,4,7,5]=>[5,7,4,6,3,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,2,7,6,3,4,8,5]=>[5,8,4,3,6,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,3,8,6,4,7,5]=>[5,7,4,6,8,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,2,3,7,4,8,6,5]=>[5,6,8,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,2,3,6,4,8,7,5]=>[5,7,8,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,6,3,1,8,5,4,7]=>[7,4,5,8,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,1,3,8,5,4,7,6]=>[6,7,4,5,8,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,1,8,4,2,3,5,6]=>[6,5,3,2,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,2,6,3,1,8,5,7]=>[7,5,8,1,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,2,8,3,1,6,7]=>[7,6,1,3,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,8,2,4,1,6,7]=>[7,6,1,4,2,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,2,1,8,3,5,7,6]=>[6,7,5,3,8,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,8,7,4,2,3,5,6]=>[6,5,3,2,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,5,2,8,7,3,4,6]=>[6,4,3,7,8,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,8,6,3,7,4,5]=>[5,4,7,3,6,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,2,7,3,4,8,6,5]=>[5,6,8,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,5,2,3,8,7,4,6]=>[6,4,7,8,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,8,4,2,7,3,5,6]=>[6,5,3,7,2,4,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [1,2,8,6,3,4,7,5]=>[5,7,4,3,6,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,2,7,3,8,4,6,5]=>[5,6,4,8,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,5,3,8,1,6,4,7]=>[7,4,6,1,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,4,7,1,5,3,8]=>[8,3,5,1,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,7,1,4,3,8]=>[8,3,4,1,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,5,7,2,6,4,1]=>[1,4,6,2,7,5,8,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>1 [3,4,8,6,1,2,5,7]=>[7,5,2,1,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,5,7,1,4,8,6,3]=>[3,6,8,4,1,7,5,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [2,4,8,1,5,7,6,3]=>[3,6,7,5,1,8,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,8,1,7,5,6,4,3]=>[3,4,6,5,7,1,8,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>3 [2,3,8,1,6,5,7,4]=>[4,7,5,6,1,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,4,8,1,3,5,7,6]=>[6,7,5,3,1,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,5,7,6,1,2,4,8]=>[8,4,2,1,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,6,2,4,8,1]=>[1,8,4,2,6,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,8,6,7,2,3,5,1]=>[1,5,3,2,7,6,8,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,1]=>1 [4,8,6,7,1,2,3,5]=>[5,3,2,1,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [4,8,6,7,1,3,5,2]=>[2,5,3,1,7,6,8,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [3,4,8,6,1,5,7,2]=>[2,7,5,1,6,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,8,5,7,1,6,4,2]=>[2,4,6,1,7,5,8,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [3,2,8,5,6,1,7,4]=>[4,7,1,6,5,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,8,5,7,2,1,6,4]=>[4,6,1,2,7,5,8,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [3,4,8,6,2,1,5,7]=>[7,5,1,2,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,5,7,6,2,1,4,8]=>[8,4,1,2,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,6,7,2,1,3,5]=>[5,3,1,2,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [4,8,6,7,3,5,2,1]=>[1,2,5,3,7,6,8,4]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,3,2,1]=>1 [5,8,6,7,3,4,2,1]=>[1,2,4,3,7,6,8,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,2,3,1]=>1 [5,8,6,7,2,1,3,4]=>[4,3,1,2,7,6,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [5,8,6,7,2,1,4,3]=>[3,4,1,2,7,6,8,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [4,8,6,7,2,1,5,3]=>[3,5,1,2,7,6,8,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [4,3,1,7,5,2,8,6]=>[6,8,2,5,7,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,2,8,5,1,7,6]=>[6,7,1,5,8,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,8,5,1,6,7,2]=>[2,7,6,1,5,8,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,8,6,7,1,5,3,2]=>[2,3,5,1,7,6,8,4]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>2 [5,8,6,7,1,4,3,2]=>[2,3,4,1,7,6,8,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>2 [5,8,6,7,2,3,4,1]=>[1,4,3,2,7,6,8,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,3,3,1]=>1 [5,8,6,7,2,4,3,1]=>[1,3,4,2,7,6,8,5]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,1,3,1]=>1 [5,8,6,7,1,2,4,3]=>[3,4,2,1,7,6,8,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [4,2,3,8,5,1,6,7]=>[7,6,1,5,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,8,5,1,7,6,3]=>[3,6,7,1,5,8,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [3,4,2,8,5,6,1,7]=>[7,1,6,5,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,4,8,6,1,5,7]=>[7,5,1,6,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,5,7,6,1,4,8]=>[8,4,1,6,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,6,7,1,3,2,5]=>[5,2,3,1,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [4,8,6,7,1,2,5,3]=>[3,5,2,1,7,6,8,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [4,8,6,7,2,5,3,1]=>[1,3,5,2,7,6,8,4]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>1 [4,3,8,5,2,6,7,1]=>[1,7,6,2,5,8,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,3,8,5,1,2,6,7]=>[7,6,2,1,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,2,6,7,5,1,3,8]=>[8,3,1,5,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,5,7,1,4,2,6]=>[6,2,4,1,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,8,4,7,1,5,2,6]=>[6,2,5,1,7,4,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,5,2,8,4,6,1,7]=>[7,1,6,4,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,1,7,4,6,2,8]=>[8,2,6,4,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,4,7,2,5,1,6]=>[6,1,5,2,7,4,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,1,3,8,5,2,6,7]=>[7,6,2,5,8,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,2,6,7,5,3,8]=>[8,3,5,7,6,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,7,5,3,8,1]=>[1,8,3,5,7,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,8,6,7,3,2,5,1]=>[1,5,2,3,7,6,8,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,1]=>1 [4,8,6,7,3,1,2,5]=>[5,2,1,3,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [3,1,5,7,6,2,4,8]=>[8,4,2,6,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,7,5,6,2,8]=>[8,2,6,5,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,7,5,2,8,6,3]=>[3,6,8,2,5,7,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,1,6,7,5,2,3,8]=>[8,3,2,5,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,6,7,2,3,1,5]=>[5,1,3,2,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [5,8,6,7,3,2,4,1]=>[1,4,2,3,7,6,8,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,3,3,1]=>1 [5,8,6,7,4,2,3,1]=>[1,3,2,4,7,6,8,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,1,3,1]=>1 [5,8,6,7,4,1,2,3]=>[3,2,1,4,7,6,8,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [5,8,6,7,4,1,3,2]=>[2,3,1,4,7,6,8,5]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>2 [5,8,6,7,3,1,4,2]=>[2,4,1,3,7,6,8,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,2,3,1]=>2 [4,8,6,7,3,1,5,2]=>[2,5,1,3,7,6,8,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [4,1,6,7,5,3,8,2]=>[2,8,3,5,7,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,1,7,5,3,2,8,6]=>[6,8,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,8,5,3,1,7,6]=>[6,7,1,3,5,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,2,1,6,7,5,3,8]=>[8,3,5,7,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,6,7,3,2,1,5]=>[5,1,2,3,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [5,8,6,7,4,2,1,3]=>[3,1,2,4,7,6,8,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [5,8,6,7,4,3,1,2]=>[2,1,3,4,7,6,8,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>2 [7,3,5,8,1,4,2,6]=>[6,2,4,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,8,7,6,1,4,2,5]=>[5,2,4,1,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,1,8,3,6,7,2,4]=>[4,2,7,6,3,8,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,4,7,1,5,8,6,2]=>[2,6,8,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,6,1,4,7,8,5,2]=>[2,5,8,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,6,8,4,7,5,2,3]=>[3,2,5,7,4,8,6,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [6,8,1,3,5,7,2,4]=>[4,2,7,5,3,1,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,6,1,4,3,8,2,5]=>[5,2,8,3,4,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,1,3,7,5,8,2,6]=>[6,2,8,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,7,6,5,8,4,2]=>[2,4,8,5,6,7,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [8,2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2,8]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>1 [8,4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4,8]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,2,2,1]=>1 [7,4,1,6,8,2,5,3]=>[3,5,2,8,6,1,4,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [6,1,3,2,7,8,4,5]=>[5,4,8,7,2,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,8,6,2,5,3,4,7]=>[7,4,3,5,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,7,8,6,2,1,4,3]=>[3,4,1,2,6,8,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [2,7,4,1,6,8,3,5]=>[5,3,8,6,1,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,7,2,4,5,1,6,8]=>[8,6,1,5,4,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,7,5,2,6,8]=>[8,6,2,5,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,8,6,1,2,4,3]=>[3,4,2,1,6,8,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [5,6,8,7,3,1,4,2]=>[2,4,1,3,7,8,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>2 [2,5,4,3,6,8,1,7]=>[7,1,8,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,8,5,4,6,2,1,7]=>[7,1,2,6,4,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [4,3,7,8,5,1,6,2]=>[2,6,1,5,8,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [5,4,8,2,7,6,1,3]=>[3,1,6,7,2,8,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [4,1,7,5,8,6,2,3]=>[3,2,6,8,5,7,1,4]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,1,7,8,4,3,6,2]=>[2,6,3,4,8,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [6,3,8,1,4,7,5,2]=>[2,5,7,4,1,8,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,5,8,7,1,3,4,2]=>[2,4,3,1,7,8,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>2 [3,6,7,2,4,8,1,5]=>[5,1,8,4,2,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,8,6,5,4,3,2,7]=>[7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,5,2,8,4,7,3]=>[3,7,4,8,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,6,1,8,5,7,2,3]=>[3,2,7,5,8,1,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,7,1,2,8,5,6,3]=>[3,6,5,8,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,4,7,2,8,5,6,3]=>[3,6,5,8,2,7,4,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,7,3,5,8,6,2,4]=>[4,2,6,8,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,3,5,8,6,1,2,4]=>[4,2,1,6,8,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,6,8,1,5,7,2,4]=>[4,2,7,5,1,8,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,4,6,5,8,1,7,2]=>[2,7,1,8,5,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,8,1,5,7,2,3,4]=>[4,3,2,7,5,1,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [7,1,2,5,8,6,3,4]=>[4,3,6,8,5,2,1,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,7,2,5,8,6,3,4]=>[4,3,6,8,5,2,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,7,6,8,2,3,5,4]=>[4,5,3,2,8,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,6,8,1,2,3,5,4]=>[4,5,3,2,1,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [2,7,1,5,8,6,3,4]=>[4,3,6,8,5,1,7,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,4,7,1,8,5,6,3]=>[3,6,5,8,1,7,4,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,7,5,8,3,1,6,2]=>[2,6,1,3,8,5,7,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,7,2,1,8,5,6,3]=>[3,6,5,8,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,6,8,2,1,3,5,4]=>[4,5,3,1,2,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [1,2,7,6,8,3,5,4]=>[4,5,3,8,6,7,2,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,7,6,8,2,1,5,4]=>[4,5,1,2,8,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,4,2,1,6,8,5,3]=>[3,5,8,6,1,2,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [6,7,4,1,8,5,3,2]=>[2,3,5,8,1,4,7,6]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [6,7,4,3,1,8,5,2]=>[2,5,8,1,3,4,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,7,4,1,6,8,5,3]=>[3,5,8,6,1,4,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,3,7,6,8,1,5,4]=>[4,5,1,8,6,7,3,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,4,2,6,8,5,1,3]=>[3,1,5,8,6,2,4,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,3,2,5,8,6,1,4]=>[4,1,6,8,5,2,3,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,1,7,6,8,2,5,4]=>[4,5,2,8,6,7,1,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,7,6,8,1,2,5,4]=>[4,5,2,1,8,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,3,7,6,8,2,5,4]=>[4,5,2,8,6,7,3,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,7,4,2,6,8,5,3]=>[3,5,8,6,2,4,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,4,1,2,6,8,5,3]=>[3,5,8,6,2,1,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,1,4,2,8,5,6,3]=>[3,6,5,8,2,4,1,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,1,8,2,5,4,6,3]=>[3,6,4,5,2,8,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,3,8,4,6,1,5,2]=>[2,5,1,6,4,8,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [7,2,8,1,6,4,5,3]=>[3,5,4,6,1,8,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,1,6,8,5,4,2,3]=>[3,2,4,5,8,6,1,7]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [7,1,2,6,8,5,4,3]=>[3,4,5,8,6,2,1,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [1,7,2,6,8,5,4,3]=>[3,4,5,8,6,2,7,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [1,7,6,8,3,2,5,4]=>[4,5,2,3,8,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,6,8,3,1,2,5,4]=>[4,5,2,1,3,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [7,1,5,8,6,3,2,4]=>[4,2,3,6,8,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,2,5,8,6,3,1,4]=>[4,1,3,6,8,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,6,7,1,8,5,4,2]=>[2,4,5,8,1,7,6,3]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [7,2,6,8,5,4,1,3]=>[3,1,4,5,8,6,2,7]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [7,6,8,2,3,1,5,4]=>[4,5,1,3,2,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [2,7,6,8,3,1,5,4]=>[4,5,1,3,8,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,7,1,6,8,5,4,3]=>[3,4,5,8,6,1,7,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [6,7,3,1,8,5,4,2]=>[2,4,5,8,1,3,7,6]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [6,7,1,8,5,4,3,2]=>[2,3,4,5,8,1,7,6]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,3]=>2 [7,2,1,6,8,5,4,3]=>[3,4,5,8,6,1,2,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [7,6,8,3,2,1,5,4]=>[4,5,1,2,3,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [4,7,8,5,6,1,3,2]=>[2,3,1,6,5,8,7,4]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [4,6,5,8,7,1,3,2]=>[2,3,1,7,8,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>2 [5,6,4,8,1,2,7,3]=>[3,7,2,1,8,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1,8]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>3 [6,4,5,1,8,2,7,3]=>[3,7,2,8,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,4,6,7,1,2,8,3]=>[3,8,2,1,7,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,6,7,2,1,5,8]=>[8,5,1,2,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,7,1,4,2,8]=>[8,2,4,1,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1,8]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>2 [7,2,1,6,8,4,5,3]=>[3,5,4,8,6,1,2,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,2,6,7,1,4,8,3]=>[3,8,4,1,7,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,6,7,3,1,8,5]=>[5,8,1,3,7,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,4,1,5,8,7,3]=>[3,7,8,5,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [7,2,1,5,4,8,6,3]=>[3,6,8,4,5,1,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [8,1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,3,1,5,4,8,2,6]=>[6,2,8,4,5,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,3,4,1,5,8,2,7]=>[7,2,8,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,4,2,1,8,6,7]=>[7,6,8,1,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,2,7,1,6,8]=>[8,6,1,7,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,8,1,4,2,7]=>[7,2,4,1,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [7,6,1,2,4,5,8,3]=>[3,8,5,4,2,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,8,2,3,1,6,5]=>[5,6,1,3,2,8,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [5,6,2,8,1,4,7,3]=>[3,7,4,1,8,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,5,2,1,3,7,8,4]=>[4,8,7,3,1,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,1,3,2,6,8,4]=>[4,8,6,2,3,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,4,1,3,5,2,8,6]=>[6,8,2,5,3,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,2,3,1,6,8,7]=>[7,8,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,3,1,4,5,6,2,8]=>[8,2,6,5,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,3,1,5,7,8,4]=>[4,8,7,5,1,3,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,4,2,1,6,5,3]=>[3,5,6,1,2,4,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [7,8,4,2,1,5,6,3]=>[3,6,5,1,2,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [6,2,3,4,8,7,1,5]=>[5,1,7,8,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,2,3,4,7,8,1,5]=>[5,1,8,7,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,8,3,4,6,2,1,5]=>[5,1,2,6,4,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,3,6,4,2,1,5]=>[5,1,2,4,6,3,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,3,5,6,2,1,4]=>[4,1,2,6,5,3,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,2,3,8,7,5,1,4]=>[4,1,5,7,8,3,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [6,2,3,7,8,5,1,4]=>[4,1,5,8,7,3,2,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [5,2,6,3,8,1,7,4]=>[4,7,1,8,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,3,2,5,8,7,1,4]=>[4,1,7,8,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,3,2,8,4,7,1,5]=>[5,1,7,4,8,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,3,8,7,5,1,2]=>[2,1,5,7,8,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [6,4,3,7,8,5,1,2]=>[2,1,5,8,7,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,2,4,1,7,3,5,8]=>[8,5,3,7,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,7,4,8,1,5]=>[5,1,8,4,7,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,2,5,7,8,1,4]=>[4,1,8,7,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,2,3,6,1,8,4]=>[4,8,1,6,3,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,2,3,6,1,7,4]=>[4,7,1,6,3,2,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,7,5,8,3,2,1,6]=>[6,1,2,3,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,5,6,8,3,2,1,7]=>[7,1,2,3,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,8,5,3,2,1,7]=>[7,1,2,3,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,1,4,2,3,7,8]=>[8,7,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,8,4,3,7,1,2]=>[2,1,7,3,4,8,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,6,1,4,2,3,8,7]=>[7,8,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,8,3,4,1,7,6]=>[6,7,1,4,3,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,8,6,3,2,1,7]=>[7,1,2,3,6,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,6,5,8,3,2,1,7]=>[7,1,2,3,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,7,5,6,3,2,1,8]=>[8,1,2,3,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,4,5,8,1,7]=>[7,1,8,5,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,3,6,2,8,7]=>[7,8,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,3,7,2,8,6]=>[6,8,2,7,3,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,4,3,8,2,7,6]=>[6,7,2,8,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,6,2,4,1,7,8,3]=>[3,8,7,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,6,2,4,1,8,7,3]=>[3,7,8,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,7,2,4,1,8,6,3]=>[3,6,8,1,4,2,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [6,1,4,2,8,7,5,3]=>[3,5,7,8,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [6,1,4,2,7,8,5,3]=>[3,5,8,7,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,8,2,4,1,7,6,3]=>[3,6,7,1,4,2,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,2,7,4,1,6,8,3]=>[3,8,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,1,3,7,2,6,8]=>[8,6,2,7,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,6,4,3,7,1,2]=>[2,1,7,3,4,6,8,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,8,1,4,2,3,7,6]=>[6,7,3,2,4,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,1,6,3,4,2,7,8]=>[8,7,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,6,5,3,2,1,7]=>[7,1,2,3,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,5,6,3,2,1,7]=>[7,1,2,3,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,4,7,8,3,2,1,6]=>[6,1,2,3,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,4,8,7,3,2,1,6]=>[6,1,2,3,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,6,8,7,3,2,1,5]=>[5,1,2,3,7,8,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [4,6,7,8,3,2,1,5]=>[5,1,2,3,8,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [4,7,6,8,3,2,1,5]=>[5,1,2,3,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [4,7,8,5,3,2,1,6]=>[6,1,2,3,5,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,7,1,3,4,2,6,8]=>[8,6,2,4,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,8,4,2,3,6,7]=>[7,6,3,2,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,7,4,2,3,6,8]=>[8,6,3,2,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,1,3,4,2,6,7]=>[7,6,2,4,3,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,7,5,3,2,1,6]=>[6,1,2,3,5,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,7,8,6,3,2,1,5]=>[5,1,2,3,6,8,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,8,2,6,3,7,5,1]=>[1,5,7,3,6,2,8,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [4,8,2,3,6,7,5,1]=>[1,5,7,6,3,2,8,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [4,3,8,7,2,5,1,6]=>[6,1,5,2,7,8,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,8,4,3,7,1,6,2]=>[2,6,1,7,3,4,8,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [5,8,1,4,7,2,6,3]=>[3,6,2,7,4,1,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,8,1,7,4,2,3,6]=>[6,3,2,4,7,1,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,8,7,6,3,1,2,5]=>[5,2,1,3,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,8,4,7,3,1,2,6]=>[6,2,1,3,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,3,8,2,7,5,6,1]=>[1,6,5,7,2,8,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [1,4,8,3,7,5,6,2]=>[2,6,5,7,3,8,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,4,3,8,2,6,5,7]=>[7,5,6,2,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,3,8,2,6,5,7]=>[7,5,6,2,8,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,8,3,7,5,6,2]=>[2,6,5,7,3,8,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [3,7,8,1,5,4,2,6]=>[6,2,4,5,1,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,3,8,1,5,4,6,2]=>[2,6,4,5,1,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [3,4,8,1,6,2,5,7]=>[7,5,2,6,1,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,4,8,7,2,5,1,6]=>[6,1,5,2,7,8,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [3,4,8,2,7,5,6,1]=>[1,6,5,7,2,8,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [1,2,4,8,3,6,5,7]=>[7,5,6,3,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,2,8,3,6,5,7]=>[7,5,6,3,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,3,1,8,6,5,7]=>[7,5,6,8,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,7,6,8,4,2,1,5]=>[5,1,2,4,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [4,7,1,8,5,2,3,6]=>[6,3,2,5,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,8,6,2,4,1,5]=>[5,1,4,2,6,8,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [3,7,8,2,6,4,5,1]=>[1,5,4,6,2,8,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [4,2,3,8,1,6,5,7]=>[7,5,6,1,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,7,8,5,2,1,6]=>[6,1,2,5,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,2,8,4,6,5,1]=>[1,5,6,4,8,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [7,3,6,8,4,2,1,5]=>[5,1,2,4,8,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,6,2,8,3,5,4,1]=>[1,4,5,3,8,2,6,7]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [1,7,3,8,4,6,5,2]=>[2,5,6,4,8,3,7,1]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [1,3,4,8,2,6,5,7]=>[7,5,6,2,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,4,8,1,6,5,7]=>[7,5,6,1,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,3,8,6,2,4,1,5]=>[5,1,4,2,6,8,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [7,3,8,2,6,4,5,1]=>[1,5,4,6,2,8,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [2,4,8,3,6,1,5,7]=>[7,5,1,6,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,8,7,4,3,5,1]=>[1,5,3,4,7,8,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>1 [7,4,1,8,5,2,6,3]=>[3,6,2,5,8,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,3,2,8,4,6,5,1]=>[1,5,6,4,8,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [2,4,3,1,8,6,5,7]=>[7,5,6,8,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,2,4,8,6,5,7]=>[7,5,6,8,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,1,4,8,6,5,7]=>[7,5,6,8,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,2,4,8,6,5,7]=>[7,5,6,8,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,4,2,8,6,5,7]=>[7,5,6,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,7,4,8,5,1,2,6]=>[6,2,1,5,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,7,2,8,3,5,4,1]=>[1,4,5,3,8,2,7,6]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [2,3,1,4,8,6,5,7]=>[7,5,6,8,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,1,3,4,8,6,5,7]=>[7,5,6,8,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,3,4,8,6,5,7]=>[7,5,6,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,8,2,6,1,4,7]=>[7,4,1,6,2,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,6,5,8,2,4,1,7]=>[7,1,4,2,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,8,7,2,4,6,1]=>[1,6,4,2,7,8,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [4,8,1,2,5,6,3,7]=>[7,3,6,5,2,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,6,1,5,8,4,2,7]=>[7,2,4,8,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,1,4,5,8,3,2,7]=>[7,2,3,8,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,4,8,1,3,2,7]=>[7,2,3,1,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,4,3,8,2,1,7]=>[7,1,2,8,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,3,7,2,8,1,6]=>[6,1,8,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,8,4,3,7,2,6,1]=>[1,6,2,7,3,4,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [4,6,8,3,7,2,5,1]=>[1,5,2,7,3,8,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [4,7,8,5,3,1,2,6]=>[6,2,1,3,5,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,7,3,4,1,2,8,6]=>[6,8,2,1,4,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,8,6,4,7,5,2]=>[2,5,7,4,6,8,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [8,6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [7,6,2,1,4,3,8,5]=>[5,8,3,4,1,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,6,1,3,4,2,8,5]=>[5,8,2,4,3,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,5,7,3,2,6,8,4]=>[4,8,6,2,3,7,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,6,8,5,7,4,1]=>[1,4,7,5,8,6,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [7,5,2,3,1,6,8,4]=>[4,8,6,1,3,2,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,4,7,2,3,8,5]=>[5,8,3,2,7,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,7,5,2,8,4,6]=>[6,4,8,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,7,4,1,8,3,6]=>[6,3,8,1,4,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,2,6,1,7,8,3,5]=>[5,3,8,7,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,2,7,6,3,8,1,5]=>[5,1,8,3,6,7,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,4,8,7,2,3,5,1]=>[1,5,3,2,7,8,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>1 [3,2,6,8,7,4,5,1]=>[1,5,4,7,8,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [6,3,2,1,7,8,4,5]=>[5,4,8,7,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,7,1,8,4,2,5,6]=>[6,5,2,4,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,2,1,3,7,5,8,6]=>[6,8,5,7,3,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [7,3,2,8,1,6,5,4]=>[4,5,6,1,8,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [3,8,7,2,6,5,4,1]=>[1,4,5,6,2,7,8,3]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>1 [4,2,7,8,6,1,5,3]=>[3,5,1,6,8,7,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [5,2,1,8,7,3,6,4]=>[4,6,3,7,8,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [8,2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6,8]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>1 [8,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,8]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1,1]=>3 [8,1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1,8]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,2,1,1,1]=>2 [8,6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6,8]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>2 [7,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>2 [5,8,4,3,2,1,6,7]=>[7,6,1,2,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,7,3,2,1,8,5]=>[5,8,1,2,3,7,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,7,3,2,1,6,8]=>[8,6,1,2,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,3,6,2,1,4,7]=>[7,4,1,2,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,3,7,8,2,1,4,5]=>[5,4,1,2,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [5,3,7,6,2,1,4,8]=>[8,4,1,2,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,7,6,2,1,4,5]=>[5,4,1,2,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,8,4,2,6,1,3,7]=>[7,3,1,6,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,7,2,5,1,3,6]=>[6,3,1,5,2,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,8,3,2,6,1,4,7]=>[7,4,1,6,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,3,2,5,1,7,6]=>[6,7,1,5,2,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,3,7,2,5,1,8,6]=>[6,8,1,5,2,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,8,7,2,5,1,4,6]=>[6,4,1,5,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [6,4,2,7,5,1,3,8]=>[8,3,1,5,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,6,7,1,4,8]=>[8,4,1,7,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,2,6,5,1,4,7]=>[7,4,1,5,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,2,7,6,8,1,3,4]=>[4,3,1,8,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,2,7,6,5,1,3,8]=>[8,3,1,5,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,7,6,5,1,3,4]=>[4,3,1,5,6,7,8,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [6,5,4,3,1,7,8,2]=>[2,8,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,7,3,1,5,8,2]=>[2,8,5,1,3,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,7,3,1,8,6,2]=>[2,6,8,1,3,7,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [6,4,3,7,1,5,8,2]=>[2,8,5,1,7,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,3,6,1,8,7,2]=>[2,7,8,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,3,7,8,1,4,5,2]=>[2,5,4,1,8,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [5,3,7,6,1,4,8,2]=>[2,8,4,1,6,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,7,6,1,5,8,2]=>[2,8,5,1,6,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,8,7,6,1,4,5,2]=>[2,5,4,1,6,7,8,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [6,5,4,2,1,7,3,8]=>[8,3,7,1,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,7,2,1,5,3,8]=>[8,3,5,1,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,7,2,1,5,3,6]=>[6,3,5,1,2,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,8,3,2,1,4,7,6]=>[6,7,4,1,2,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,3,2,1,5,7,6]=>[6,7,5,1,2,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,3,7,2,1,4,8,6]=>[6,8,4,1,2,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,8,7,2,1,4,5,6]=>[6,5,4,1,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [6,5,2,7,1,4,3,8]=>[8,3,4,1,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,2,6,1,4,3,7]=>[7,3,4,1,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,2,7,1,5,3,8]=>[8,3,5,1,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,6,1,8,3,7]=>[7,3,8,1,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,6,1,5,8,7]=>[7,8,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,7,8,1,4,3,5]=>[5,3,4,1,8,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [4,2,7,6,1,5,3,8]=>[8,3,5,1,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,6,1,4,5,8]=>[8,5,4,1,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,1,8,7,3,2]=>[2,3,7,8,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [5,8,4,1,6,7,3,2]=>[2,3,7,6,1,4,8,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [6,4,7,1,5,8,3,2]=>[2,3,8,5,1,7,4,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,4,7,1,6,8,3,2]=>[2,3,8,6,1,7,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>2 [5,4,3,1,6,8,7,2]=>[2,7,8,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,8,7,1,5,4,6,2]=>[2,6,4,5,1,7,8,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [5,8,2,1,6,4,3,7]=>[7,3,4,6,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,3,2,1,5,4,8,7]=>[7,8,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,2,1,6,4,8,7]=>[7,8,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,8,2,1,5,4,6,7]=>[7,6,4,5,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,2,7,1,5,4,3,8]=>[8,3,4,5,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,1,6,4,3,8]=>[8,3,4,6,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,1,5,4,6,8]=>[8,6,4,5,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,7,1,5,4,3,6]=>[6,3,4,5,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [6,5,1,7,8,4,3,2]=>[2,3,4,8,7,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [5,8,1,6,7,4,3,2]=>[2,3,4,7,6,1,8,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,3,1]=>2 [6,4,1,7,5,8,3,2]=>[2,3,8,5,7,1,4,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,4,1,6,7,8,3,2]=>[2,3,8,7,6,1,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,8,1,6,5,7,3,2]=>[2,3,7,5,6,1,8,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [6,3,1,7,5,4,8,2]=>[2,8,4,5,7,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,1,6,7,4,8,2]=>[2,8,4,7,6,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,1,6,5,7,8,2]=>[2,8,7,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,2,1,6,7,4,3,8]=>[8,3,4,7,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,6,5,7,3,8]=>[8,3,7,5,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,1,6,5,4,3,7]=>[7,3,4,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,7,8,5,4,3,2]=>[2,3,4,5,8,7,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,3]=>2 [4,1,7,6,5,8,3,2]=>[2,3,8,5,6,7,1,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [3,1,7,6,5,4,8,2]=>[2,8,4,5,6,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,5,8,1,2,6,3,7]=>[7,3,6,2,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,4,5,7,2,6,3,8]=>[8,3,6,2,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,5,6,2,4,8]=>[8,4,2,6,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [3,6,8,1,7,2,4,5]=>[5,4,2,7,1,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [3,4,5,6,8,1,7,2]=>[2,7,1,8,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,5,8,2,6,7,1,3]=>[3,1,7,6,2,8,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [8,2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [1,7,2,3,5,4,6,8]=>[8,6,4,5,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,7,8,1,3,5,4,6]=>[6,4,5,3,1,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,7,8,3,5,6,1,4]=>[4,1,6,5,3,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [2,4,5,7,8,1,6,3]=>[3,6,1,8,7,5,4,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,5,8,1,7,6,3,2]=>[2,3,6,7,1,8,5,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,3,1,1]=>2 [4,5,8,7,2,1,6,3]=>[3,6,1,2,7,8,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [8,7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [3,6,8,7,2,1,5,4]=>[4,5,1,2,7,8,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [8,6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6,8]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,2,2,1]=>2 [7,6,4,3,1,8,5,2]=>[2,5,8,1,3,4,6,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,3,6,7,8,1,5,4]=>[4,5,1,8,7,6,3,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,6,8,1,2,5,4,7]=>[7,4,5,2,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,3,6,7,2,5,4,8]=>[8,4,5,2,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,1,8,5,2,3,6]=>[6,3,2,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,1,4,2,8,3,6,5]=>[5,6,3,8,2,4,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,1,8,2,5,3,6,4]=>[4,6,3,5,2,8,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [1,7,2,6,5,4,3,8]=>[8,3,4,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,3,2,5,4,8]=>[8,4,5,2,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [3,6,8,1,7,5,4,2]=>[2,4,5,7,1,8,6,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,2,1,2,1]=>2 [8,2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2,8]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>3 [2,7,8,6,3,1,5,4]=>[4,5,1,3,6,8,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [2,7,8,1,6,5,4,3]=>[3,4,5,6,1,8,7,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [7,3,1,8,6,5,4,2]=>[2,4,5,6,8,1,3,7]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,1,2]=>2 [8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [8,7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7,8]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [2,1,8,6,3,7,4,5]=>[5,4,7,3,6,8,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [8,5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [2,1,7,5,4,3,8,6]=>[6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,8,4,5,3,6,7]=>[7,6,3,5,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,1,7,8,3,6,5,4]=>[4,5,6,3,8,7,1,2]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [2,1,8,5,7,6,3,4]=>[4,3,6,7,5,8,1,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [2,1,4,8,5,7,3,6]=>[6,3,7,5,8,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,1,5,4,6,8,3,7]=>[7,3,8,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,5,1,4,6,8,3,2]=>[2,3,8,6,4,1,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,4,1,5,2,3,8,7]=>[7,8,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [5,3,7,4,6,8,1,2]=>[2,1,8,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,8,3,7,6,2,1,4]=>[4,1,2,6,7,3,8,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [5,2,4,8,6,3,1,7]=>[7,1,3,6,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,6,3,8,5,1,7]=>[7,1,5,8,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,8,2,4,7,5,1,6]=>[6,1,5,7,4,2,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,6,8,7,5,4,1,2]=>[2,1,4,5,7,8,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>2 [8,5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5,8]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [5,8,2,1,7,6,4,3]=>[3,4,6,7,1,2,8,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,1,2,1,1]=>3 [6,3,8,1,5,7,4,2]=>[2,4,7,5,1,8,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [8,3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,2,4,3,1,5,8,6]=>[6,8,5,1,3,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,8,3,1,5,4,6,2]=>[2,6,4,5,1,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,2,8,1,4,6,5,3]=>[3,5,6,4,1,8,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [6,2,3,1,4,5,8,7]=>[7,8,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,1,4,3,2,8,7]=>[7,8,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,7,1,8,3,6,2,4]=>[4,2,6,3,8,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,8,1,4,5,3,2,7]=>[7,2,3,5,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,7,1,5,4,3,8,2]=>[2,8,3,4,5,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [6,5,7,1,3,8,2,4]=>[4,2,8,3,1,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,8,1,6,3,7,4,2]=>[2,4,7,3,6,1,8,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [8,3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>2 [7,5,4,8,2,1,3,6]=>[6,3,1,2,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,3,6,5,4,1,8,2]=>[2,8,1,4,5,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,3,5,8,1,6,2,4]=>[4,2,6,1,8,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,3,5,4,1,2,8,7]=>[7,8,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,3,5,1,4,8,7]=>[7,8,4,1,5,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,7,8,5,1,6,4,3]=>[3,4,6,1,5,8,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [8,7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7,8]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [2,8,3,4,6,1,5,7]=>[7,5,1,6,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,4,3,6,1,8,5]=>[5,8,1,6,3,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,7,2,8,1,5,6]=>[6,5,1,8,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,3,2,5,7,1,8,6]=>[6,8,1,7,5,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,3,5,8,1,6,7]=>[7,6,1,8,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,8,4,7,1,6,5]=>[5,6,1,7,4,8,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [8,2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [3,8,4,7,1,6,5,2]=>[2,5,6,1,7,4,8,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>2 [3,2,4,6,1,5,8,7]=>[7,8,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3,8]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [2,8,4,6,5,7,1,3]=>[3,1,7,5,6,4,8,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,3,8,4,6,7,1,5]=>[5,1,7,6,4,8,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,4,3,5,8,7,1,6]=>[6,1,7,8,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,2,4,5,6,8,1,7]=>[7,1,8,6,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,8,1,4,2,7,3]=>[3,7,2,4,1,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,5,7,8,4,6,2,3]=>[3,2,6,4,8,7,5,1]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [1,3,5,7,8,6,2,4]=>[4,2,6,8,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,5,7,8,6,1,2,4]=>[4,2,1,6,8,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,5,1,6,8,2,7,4]=>[4,7,2,8,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,1,5,6,8,2,7,4]=>[4,7,2,8,6,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,3,5,6,8,1,7,4]=>[4,7,1,8,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,6,4,8,2,1,7,3]=>[3,7,1,2,8,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,1,6,3,8,4,7,2]=>[2,7,4,8,3,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [2,5,1,6,8,3,7,4]=>[4,7,3,8,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,1,2,6,8,3,7,4]=>[4,7,3,8,6,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,7,1,8,6,2,3,4]=>[4,3,2,6,8,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,5,2,7,8,6,3,4]=>[4,3,6,8,7,2,5,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,6,7,5,2,8,3,4]=>[4,3,8,2,5,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,1,7,5,2,8,3,4]=>[4,3,8,2,5,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,6,7,5,1,8,3,4]=>[4,3,8,1,5,7,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,2,8,6,1,3,4]=>[4,3,1,6,8,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,5,7,8,6,2,1,4]=>[4,1,2,6,8,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,1,7,8,6,3,4,2]=>[2,4,3,6,8,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [5,1,3,7,8,6,4,2]=>[2,4,6,8,7,3,1,5]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [5,2,7,8,4,6,1,3]=>[3,1,6,4,8,7,2,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,2,5,7,8,6,1,4]=>[4,1,6,8,7,5,2,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,2,7,5,1,8,3,4]=>[4,3,8,1,5,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,2,6,7,5,8,3,4]=>[4,3,8,5,7,6,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,2,7,5,4,1,8,3]=>[3,8,1,4,5,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,5,2,4,1,8,3]=>[3,8,1,4,2,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,2,5,3,8,1,4]=>[4,1,8,3,5,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,7,4,5,2,1,8,3]=>[3,8,1,2,5,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,7,8,6,4,3,2]=>[2,3,4,6,8,7,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,2,2]=>2 [2,5,7,8,6,3,1,4]=>[4,1,3,6,8,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,1,7,8,6,3,2,4]=>[4,2,3,6,8,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,3,7,5,1,8,2,4]=>[4,2,8,1,5,7,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,7,5,3,8,2,4]=>[4,2,8,3,5,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,7,5,4,2,8,3]=>[3,8,2,4,5,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,5,1,4,2,8,3]=>[3,8,2,4,1,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,8,6,4,1,2,3]=>[3,2,1,4,6,8,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [4,1,7,2,6,5,8,3]=>[3,8,5,6,2,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,7,1,5,6,8,3]=>[3,8,6,5,1,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,4,1,5,2,8,3]=>[3,8,2,5,1,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,6,7,4,5,2,8,3]=>[3,8,2,5,4,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,6,3,7,5,8,2,4]=>[4,2,8,5,7,3,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,1,7,5,8,2,4]=>[4,2,8,5,7,1,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,5,3,7,8,6,1,4]=>[4,1,6,8,7,3,5,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,7,5,4,2,1,8,3]=>[3,8,1,2,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,2,7,5,8,1,4]=>[4,1,8,5,7,2,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,7,4,2,5,1,8,3]=>[3,8,1,5,2,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,2,7,4,5,1,8,3]=>[3,8,1,5,4,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,2,3,7,5,8,1,4]=>[4,1,8,5,7,3,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,5,1,6,3,2,8,7]=>[7,8,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,5,1,6,3,8,2,4]=>[4,2,8,3,6,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,5,1,6,3,8,4,2]=>[2,4,8,3,6,1,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [2,7,6,1,3,8,5,4]=>[4,5,8,3,1,6,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [7,3,5,1,8,2,6,4]=>[4,6,2,8,1,5,3,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,6,7,1,5,8,3,4]=>[4,3,8,5,1,7,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,6,7,4,1,8,3,5]=>[5,3,8,1,4,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,1,6,7,3,8,5,4]=>[4,5,8,3,7,6,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,6,5,1,8,4,7,2]=>[2,7,4,8,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,6,5,1,8,4,2,7]=>[7,2,4,8,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,7,5,4,8,1,6,2]=>[2,6,1,8,4,5,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,6,1,5,8,7,3,2]=>[2,3,7,8,5,1,6,4]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [4,6,1,5,8,7,2,3]=>[3,2,7,8,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,5,1,6,2,8,3,4]=>[4,3,8,2,6,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,6,1,5,8,2,3,7]=>[7,3,2,8,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,7,1,5,8,3,6,2]=>[2,6,3,8,5,1,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [6,8,5,4,3,2,7,1]=>[1,7,2,3,4,5,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [10,11,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,1,2]=>1 [7,9,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,9,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,7,1]=>1 [8,9,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>7 [6,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [5,8,4,3,2,1,7,6]=>[6,7,1,2,3,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,5,4,3,1,8,7,2]=>[2,7,8,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [8,7,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,7,8]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>2 [8,7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [9,7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7,9]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,6,1]=>2 [3,5,2,6,8,4,1,7]=>[7,1,4,8,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,5,3,2,8,4,1,6]=>[6,1,4,8,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,5,3,2,8,4,6,1]=>[1,6,4,8,2,3,5,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [2,5,6,1,8,4,3,7]=>[7,3,4,8,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,6,8,1,3,2,7]=>[7,2,3,1,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,6,3,8,2,1,7]=>[7,1,2,8,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,7,3,2,8,5,1]=>[1,5,8,2,3,7,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,1,4,7,3,2,8,5]=>[5,8,2,3,7,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,7,3,8,4,2,6]=>[6,2,4,8,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,1,7,4,3,8,6]=>[6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,5,7,4,1,8,6,3]=>[3,6,8,1,4,7,5,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [5,3,7,1,4,8,6,2]=>[2,6,8,4,1,7,3,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [6,4,3,1,7,8,5,2]=>[2,5,8,7,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,6,3,7,8,4,2,1]=>[1,2,4,8,7,3,6,5]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [5,6,1,3,7,8,4,2]=>[2,4,8,7,3,1,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,6,1,7,8,3,4,2]=>[2,4,3,8,7,1,6,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,6,3,7,4,8,5,2]=>[2,5,8,4,7,3,6,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [6,7,2,4,1,8,5,3]=>[3,5,8,1,4,2,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,6,3,2,1,7,8,4]=>[4,8,7,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,6,3,7,8,4,1]=>[1,4,8,7,3,6,5,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [6,3,7,2,8,4,5,1]=>[1,5,4,8,2,7,3,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [6,3,7,2,8,4,1,5]=>[5,1,4,8,2,7,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,5,3,2,1,8,4,6]=>[6,4,8,1,2,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,3,8,4,2,1,5,6]=>[6,5,1,2,4,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,7,2,1,3,8,6,5]=>[5,6,8,3,1,2,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,3,7,8,6,4,2,5]=>[5,2,4,6,8,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,3,8,4,6,2,1,5]=>[5,1,2,6,4,8,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [5,7,3,8,2,1,6,4]=>[4,6,1,2,8,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,3,7,8,5,2,1,4]=>[4,1,2,5,8,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [4,6,2,7,8,5,3,1]=>[1,3,5,8,7,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [4,6,2,1,7,8,5,3]=>[3,5,8,7,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,4,5,8,1,2,6,3]=>[3,6,2,1,8,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [2,5,1,7,3,8,6,4]=>[4,6,8,3,7,1,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,7,2,1,3,8,5,4]=>[4,5,8,3,1,2,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [5,1,6,7,8,2,4,3]=>[3,4,2,8,7,6,1,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [6,3,7,1,8,5,2,4]=>[4,2,5,8,1,7,3,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,2,1,7,3,8,5,4]=>[4,5,8,3,7,1,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,2,7,1,8,5,4,3]=>[3,4,5,8,1,7,2,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [6,3,1,7,8,5,4,2]=>[2,4,5,8,7,1,3,6]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [4,1,3,6,8,2,5,7]=>[7,5,2,8,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,3,6,8,1,5,7]=>[7,5,1,8,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,2,1,8,4,7,6]=>[6,7,4,8,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,6,5,8,2,1,7,4]=>[4,7,1,2,8,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,4,6,5,8,1,3,7]=>[7,3,1,8,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,2,1,6,8,4,7]=>[7,4,8,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,4,6,5,8,2,7]=>[7,2,8,5,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,3,4,5,8,2,7]=>[7,2,8,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,1,8,5,2,7,6]=>[6,7,2,5,8,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [1,5,3,2,8,7,4,6]=>[6,4,7,8,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [8,2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [1,7,6,4,5,8,3,2]=>[2,3,8,5,4,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,8,7,4,1,2,6,3]=>[3,6,2,1,4,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [5,8,7,4,6,2,1,3]=>[3,1,2,6,4,7,8,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [3,4,2,5,8,6,7,1]=>[1,7,6,8,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,1,3,5,6,8,7,2]=>[2,7,8,6,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [4,3,6,2,8,1,7,5]=>[5,7,1,8,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,7,4,8,2,1,6,5]=>[5,6,1,2,8,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,2,5,6,8,7,1,4]=>[4,1,7,8,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,2,8,3,5,6,7,4]=>[4,7,6,5,3,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,2,3,7,1,8,6,5]=>[5,6,8,1,7,3,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,2,6,4,8,1,7,5]=>[5,7,1,8,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [4,7,5,3,1,2,8,6]=>[6,8,2,1,3,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,8,3,1,2,7,6,5]=>[5,6,7,2,1,3,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,5,2,7,4,1,8,6]=>[6,8,1,4,7,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [3,5,2,7,6,1,8,4]=>[4,8,1,6,7,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,3,2,1,6,7,4]=>[4,7,6,1,2,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,8,7,3,4,6,2,1]=>[1,2,6,4,3,7,8,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,4,1,1]=>1 [5,8,2,7,4,1,6,3]=>[3,6,1,4,7,2,8,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [5,1,4,2,8,7,6,3]=>[3,6,7,8,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [4,7,6,5,8,2,1,3]=>[3,1,2,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,3,7,1,6,2,8,4]=>[4,8,2,6,1,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,2,1,8,5,7,4]=>[4,7,5,8,1,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,8,4,2,5,6,7,3]=>[3,7,6,5,2,4,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,2,8,5,6,7,1,3]=>[3,1,7,6,5,8,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,2,4,7,1,8,6,3]=>[3,6,8,1,7,4,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [8,6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,6,5,2,1,8,7,4]=>[4,7,8,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [8,3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,8,4,7,6,2,3,1]=>[1,3,2,6,7,4,8,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>1 [1,3,5,2,4,8,7,6]=>[6,7,8,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,6,5,1,3,8,7,4]=>[4,7,8,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [4,7,1,6,5,8,3,2]=>[2,3,8,5,6,1,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,4,8,7,6,3,1,2]=>[2,1,3,6,7,8,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>2 [2,8,5,1,4,7,6,3]=>[3,6,7,4,1,5,8,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [4,3,1,5,8,6,7,2]=>[2,7,6,8,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,1,3,5,8,6,7,2]=>[2,7,6,8,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,5,3,8,4,7,1,2]=>[2,1,7,4,8,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,8,4,3,2,7,1,5]=>[5,1,7,2,3,4,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,4,7,8,2,1,6,5]=>[5,6,1,2,8,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,1,3,2,8,6,7,4]=>[4,7,6,8,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,2,1,3,6,8,7,4]=>[4,7,8,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [6,3,8,2,7,4,1,5]=>[5,1,4,7,2,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [3,5,1,7,8,4,2,6]=>[6,2,4,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,4,5,8,3,1,6]=>[6,1,3,8,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,8,4,3,7,2,6,5]=>[5,6,2,7,3,4,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,4,8,7,2,1,6,5]=>[5,6,1,2,7,8,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [5,4,7,8,3,6,2,1]=>[1,2,6,3,8,7,4,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [6,4,3,8,7,2,1,5]=>[5,1,2,7,8,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [6,3,8,7,4,1,2,5]=>[5,2,1,4,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [8,4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,1,3,8,5,7,2,4]=>[4,2,7,5,8,3,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,5,8,7,4,6,2,3]=>[3,2,6,4,7,8,5,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [1,7,2,4,6,5,8,3]=>[3,8,5,6,4,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,5,1,7,6,8,2,4]=>[4,2,8,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,5,8,7,2,1,4]=>[4,1,2,7,8,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,2,8,5,1,6,7,3]=>[3,7,6,1,5,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,1,8,5,2,6,7,3]=>[3,7,6,2,5,8,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,8,6,2,1,3,7,4]=>[4,7,3,1,2,6,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [1,7,8,3,5,4,6,2]=>[2,6,4,5,3,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [3,4,5,1,8,6,7,2]=>[2,7,6,8,1,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,4,5,6,8,2,1,7]=>[7,1,2,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,5,7,1,8,6,2]=>[2,6,8,1,7,5,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,4,5,7,8,2,6,1]=>[1,6,2,8,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,4,6,2,8,5,1,7]=>[7,1,5,8,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,6,8,1,5,2,7]=>[7,2,5,1,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,7,2,1,8,6,5]=>[5,6,8,1,2,7,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,4,7,8,1,5,6,2]=>[2,6,5,1,8,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,4,8,2,1,5,6,7]=>[7,6,5,1,2,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,5,2,6,7,8,1,4]=>[4,1,8,7,6,2,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,5,2,7,8,4,6,1]=>[1,6,4,8,7,2,5,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,5,2,8,4,1,6,7]=>[7,6,1,4,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,6,2,8,4,1,7]=>[7,1,4,8,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,6,8,4,1,2,7]=>[7,2,1,4,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,7,2,4,8,6,1]=>[1,6,8,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,5,7,2,8,4,6,1]=>[1,6,4,8,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,5,7,8,4,1,6,2]=>[2,6,1,4,8,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,6,2,1,7,8,5,4]=>[4,5,8,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,6,2,1,8,5,4,7]=>[7,4,5,8,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,6,7,2,4,8,5,1]=>[1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,6,7,2,8,5,4,1]=>[1,4,5,8,2,7,6,3]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [3,6,7,8,4,5,1,2]=>[2,1,5,4,8,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [3,6,8,2,4,5,1,7]=>[7,1,5,4,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,7,2,1,4,8,6,5]=>[5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,7,2,1,8,5,6,4]=>[4,6,5,8,1,2,7,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,7,2,8,4,5,6,1]=>[1,6,5,4,8,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [3,7,8,2,4,5,6,1]=>[1,6,5,4,2,8,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [3,8,2,1,4,5,6,7]=>[7,6,5,4,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,1,5,6,7,8,3,2]=>[2,3,8,7,6,5,1,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,1,5,7,3,8,6,2]=>[2,6,8,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,1,6,3,7,8,5,2]=>[2,5,8,7,3,6,1,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,1,6,3,8,5,2,7]=>[7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,6,7,3,8,5,2]=>[2,5,8,3,7,6,1,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,1,6,7,8,5,2,3]=>[3,2,5,8,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [4,1,6,8,3,5,2,7]=>[7,2,5,3,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,7,3,2,8,6,5]=>[5,6,8,2,3,7,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [4,1,7,8,3,5,6,2]=>[2,6,5,3,8,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,1,8,3,2,5,6,7]=>[7,6,5,2,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,5,2,6,7,8,3,1]=>[1,3,8,7,6,2,5,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,5,2,6,8,1,3,7]=>[7,3,1,8,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,6,3,8,1,2,7]=>[7,2,1,8,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,6,8,3,1,2,7]=>[7,2,1,3,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,7,3,8,1,6,2]=>[2,6,1,8,3,7,5,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,5,8,3,2,1,6,7]=>[7,6,1,2,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,6,2,3,7,8,5,1]=>[1,5,8,7,3,2,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,6,2,3,8,5,1,7]=>[7,1,5,8,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,6,2,7,3,8,5,1]=>[1,5,8,3,7,2,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,6,2,7,8,5,1,3]=>[3,1,5,8,7,2,6,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [4,6,7,3,2,8,5,1]=>[1,5,8,2,3,7,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,6,8,3,2,5,1,7]=>[7,1,5,2,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,7,2,3,1,8,6,5]=>[5,6,8,1,3,2,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [4,7,2,8,3,5,6,1]=>[1,6,5,3,8,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,7,8,3,2,5,6,1]=>[1,6,5,2,3,8,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [4,8,2,3,1,5,6,7]=>[7,6,5,1,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,1,2,6,8,4,3,7]=>[7,3,4,8,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,2,7,4,8,6,3]=>[3,6,8,4,7,2,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [5,1,2,8,4,3,6,7]=>[7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,1,6,3,8,4,2,7]=>[7,2,4,8,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,6,7,4,8,2,3]=>[3,2,8,4,7,6,1,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,1,6,7,8,4,2,3]=>[3,2,4,8,7,6,1,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [5,1,8,3,4,2,6,7]=>[7,6,2,4,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,2,3,8,4,1,7]=>[7,1,4,8,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,2,7,8,4,1,3]=>[3,1,4,8,7,2,6,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [5,6,8,3,4,2,1,7]=>[7,1,2,4,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,7,2,3,4,8,6,1]=>[1,6,8,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,7,8,3,4,2,6,1]=>[1,6,2,4,3,8,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [5,8,2,3,4,1,6,7]=>[7,6,1,4,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,2,3,7,8,5,4]=>[4,5,8,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,1,2,3,8,5,4,7]=>[7,4,5,8,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,1,2,7,8,5,4,3]=>[3,4,5,8,7,2,1,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [6,1,2,8,4,5,3,7]=>[7,3,5,4,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,1,7,3,4,8,5,2]=>[2,5,8,4,3,7,1,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [6,1,7,3,8,5,4,2]=>[2,4,5,8,3,7,1,6]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [6,1,7,8,4,5,3,2]=>[2,3,5,4,8,7,1,6]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [6,1,8,3,4,5,2,7]=>[7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,7,2,3,8,5,4,1]=>[1,4,5,8,3,2,7,6]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [6,7,2,8,4,5,3,1]=>[1,3,5,4,8,2,7,6]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [6,8,2,3,4,5,1,7]=>[7,1,5,4,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,1,2,3,4,8,6,5]=>[5,6,8,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [7,1,2,8,4,5,6,3]=>[3,6,5,4,8,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,1,8,3,4,5,6,2]=>[2,6,5,4,3,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [6,4,1,8,2,3,7,5]=>[5,7,3,2,8,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,8,1,2,4,3,7,6]=>[6,7,3,4,2,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,3,5,7,2,6,4,8]=>[8,4,6,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,8,6,1,2,4,7]=>[7,4,2,1,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,6,8,2,4,7,5]=>[5,7,4,2,8,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,6,2,8,1,5,7,4]=>[4,7,5,1,8,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,1,3,8,4,7,5]=>[5,7,4,8,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,7,5,2,3,4,6,8]=>[8,6,4,3,2,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,1,3,8,4,6]=>[6,4,8,3,1,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2,8]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,6,5,2,4,8,1,3]=>[3,1,8,4,2,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,8,2,5,3,1,6,4]=>[4,6,1,3,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,1,8,6,3,2,4,5]=>[5,4,2,3,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [6,8,1,5,3,2,4,7]=>[7,4,2,3,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,6,7,5,3,2,4,8]=>[8,4,2,3,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,2,4,8,3,7]=>[7,3,8,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,8,1,6,4,2,3,5]=>[5,3,2,4,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [8,4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,7,3,6,5,2,4,8]=>[8,4,2,5,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [7,3,2,6,5,1,8,4]=>[4,8,1,5,6,2,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,4,2,5,6,1,3]=>[3,1,6,5,2,4,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [8,2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,2,1]=>1 [6,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,2,1,1]=>1 [5,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,2,1,1,1]=>1 [4,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,2,1,1,1,1]=>1 [3,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1,1,1]=>1 [2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1,1,1]=>1 [8,10,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,10,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,1,2,1]=>1 [6,9,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,9,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,3,1]=>1 [7,10,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,10,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,2,1,1]=>1 [4,8,6,5,7,3,2,1]=>[1,2,3,7,5,6,8,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,4,1]=>1 [5,9,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,9,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,3,1,1]=>1 [6,10,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,10,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,2,1,1,1]=>1 [3,8,7,5,4,6,2,1]=>[1,2,6,4,5,7,8,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,4,1,1]=>1 [4,8,5,6,7,3,2,1]=>[1,2,3,7,6,5,8,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,4,1]=>1 [4,9,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,9,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,3,1,1,1]=>1 [5,10,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,10,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,2,1,1,1,1]=>1 [2,8,7,6,4,3,5,1]=>[1,5,3,4,6,7,8,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [3,8,7,4,5,6,2,1]=>[1,2,6,5,4,7,8,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,4,1,1]=>1 [3,9,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,9,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,3,1,1,1,1]=>1 [4,10,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,10,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,2,1,1,1,1,1]=>1 [1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [2,8,7,6,3,4,5,1]=>[1,5,4,3,6,7,8,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [2,9,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,9,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1,1]=>1 [3,10,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,10,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1,1,1,1]=>1 [1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>3 [2,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1,1,1,1]=>1 [7,2,8,6,5,4,1,3]=>[3,1,4,5,6,8,2,7]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [7,2,8,5,4,6,1,3]=>[3,1,6,4,5,8,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [6,3,2,8,5,1,7,4]=>[4,7,1,5,8,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [8,4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4,8]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>1 [6,8,5,4,3,1,7,2]=>[2,7,1,3,4,5,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,8,6,4,1,3,7,2]=>[2,7,3,1,4,6,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,8,6,1,5,3,7,2]=>[2,7,3,5,1,6,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,4,1,2,8,6,7,5]=>[5,7,6,8,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,8,3,5,4,1,7,2]=>[2,7,1,4,5,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [7,2,5,8,3,6,1,4]=>[4,1,6,3,8,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,6,8,5,3,1,4]=>[4,1,3,5,8,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,6,3,8,5,2,1,4]=>[4,1,2,5,8,3,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,2,6,4,8,3,1,5]=>[5,1,3,8,4,6,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,1,7,8,5,6]=>[6,5,8,7,1,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [8,6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,3,7,1,5,8,4,2]=>[2,4,8,5,1,7,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [4,3,1,6,5,8,2,7]=>[7,2,8,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,5,4,2,6,8,3,1]=>[1,3,8,6,2,4,5,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [7,3,8,4,5,2,1,6]=>[6,1,2,5,4,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,7,3,2,5,4,8,6]=>[6,8,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [5,4,6,8,1,2,7,3]=>[3,7,2,1,8,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,4,7,2,3,5,8,1]=>[1,8,5,3,2,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,8,4,1,3,5,7,2]=>[2,7,5,3,1,4,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,4,7,8,6,2,5,1]=>[1,5,2,6,8,7,4,3]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [4,1,3,5,7,8,6,2]=>[2,6,8,7,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [5,3,1,8,4,7,6,2]=>[2,6,7,4,8,1,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [8,2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [4,7,3,2,8,1,6,5]=>[5,6,1,8,2,3,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [6,3,1,4,7,2,8,5]=>[5,8,2,7,4,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7,8]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,4,3,6,8,2,5,1]=>[1,5,2,8,6,3,4,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [2,4,7,3,8,5,6,1]=>[1,6,5,8,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [8,5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [5,7,3,2,4,1,8,6]=>[6,8,1,4,2,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,8,3,4,7,1,5,6]=>[6,5,1,7,4,3,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,8,1,5,6,2,7,4]=>[4,7,2,6,5,1,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,5,4,8,7,2,1,3]=>[3,1,2,7,8,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>3 [3,6,2,1,7,5,8,4]=>[4,8,5,7,1,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,4,1,8,7,6,3]=>[3,6,7,8,1,4,5,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [4,7,2,6,5,8,1,3]=>[3,1,8,5,6,2,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,8,1,4,2,7,3,5]=>[5,3,7,2,4,1,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,3,4,7,1,8,2,5]=>[5,2,8,1,7,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,4,7,8,2,5,6,1]=>[1,6,5,2,8,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [5,2,4,1,6,8,7,3]=>[3,7,8,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,3,5,6,1,8,7,2]=>[2,7,8,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,3,4,1,7,6,8,2]=>[2,8,6,7,1,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,1,4,6,5,7,8,2]=>[2,8,7,5,6,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,3,6,4,8,7,2]=>[2,7,8,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,3,2,7,5,8,6,4]=>[4,6,8,5,7,2,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,4,2,5,8,3,7,6]=>[6,7,3,8,5,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,4,2,7,8,5,6,3]=>[3,6,5,8,7,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,1,2,6,8,4,7,3]=>[3,7,4,8,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [3,1,2,6,5,8,4,7]=>[7,4,8,5,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,6,8,5,3,7]=>[7,3,5,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,2,4,8,7,6,3]=>[3,6,7,8,4,2,5,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [1,2,6,4,8,7,5,3]=>[3,5,7,8,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [1,2,7,4,8,6,5,3]=>[3,5,6,8,4,7,2,1]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [1,3,2,7,5,8,4,6]=>[6,4,8,5,7,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,1,7,5,4,8,6]=>[6,8,4,5,7,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,8,5,7,4,6]=>[6,4,7,5,8,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,4,2,5,8,7,3,6]=>[6,3,7,8,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,5,2,4,8,7,3,6]=>[6,3,7,8,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,2,6,4,8,7,3,5]=>[5,3,7,8,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,2,6,8,5,7,3,4]=>[4,3,7,5,8,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,5,6,8,2,7,3,4]=>[4,3,7,2,8,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,3,8,2,6,7,4,5]=>[5,4,7,6,2,8,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,4,7,2,8,6,3,5]=>[5,3,6,8,2,7,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,6,7,8,2,5,3,4]=>[4,3,5,2,8,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,2,6,8,3,7,5,4]=>[4,5,7,3,8,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [1,5,7,8,2,3,6,4]=>[4,6,3,2,8,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,5,2,7,8,4,6,3]=>[3,6,4,8,7,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,4,7,2,8,3,6,5]=>[5,6,3,8,2,7,4,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,3,6,2,4,8,7,5]=>[5,7,8,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,6,7,3,4,8,5,2]=>[2,5,8,4,3,7,6,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,5,3,7,4,8,6,2]=>[2,6,8,4,7,3,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [2,8,4,1,5,3,7,6]=>[6,7,3,5,1,4,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,8,4,1,5,7,2,6]=>[6,2,7,5,1,4,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,3,6,4,2,8,7,5]=>[5,7,8,2,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,3,7,4,2,8,6,5]=>[5,6,8,2,4,7,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,3,8,4,2,7,6,5]=>[5,6,7,2,4,8,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,2,8,4,7,3,6,5]=>[5,6,3,7,4,8,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,2,7,4,8,3,6,5]=>[5,6,3,8,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,5,2,4,8,3,7,6]=>[6,7,3,8,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,8,4,5,7,2,3,6]=>[6,3,2,7,5,4,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,3,5,2,7,4,6]=>[6,4,7,2,5,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,3,5,1,4,7,6]=>[6,7,4,1,5,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,3,8,6,1,4,7,5]=>[5,7,4,1,6,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,3,8,6,2,7,4,5]=>[5,4,7,2,6,8,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,4,8,6,7,2,3,5]=>[5,3,2,7,6,8,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [1,5,6,8,7,2,3,4]=>[4,3,2,7,8,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,2,7,8,5,3,6,4]=>[4,6,3,5,8,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,2,5,8,7,3,6,4]=>[4,6,3,7,8,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [1,2,7,8,6,3,5,4]=>[4,5,3,6,8,7,2,1]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,5,7,8,6,2,3,4]=>[4,3,2,6,8,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,4,7,6,8,2,3,5]=>[5,3,2,8,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,3,7,6,2,8,4,5]=>[5,4,8,2,6,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,8,7,4,1,6,5]=>[5,6,1,4,7,8,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [1,2,8,4,7,6,3,5]=>[5,3,6,7,4,8,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,2,5,8,7,6,3,4]=>[4,3,6,7,8,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,2,6,8,7,5,3,4]=>[4,3,5,7,8,6,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [5,2,6,7,3,4,8,1]=>[1,8,4,3,7,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,4,7,6,3,8,1]=>[1,8,3,6,7,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,2,1,7,8,3,4]=>[4,3,8,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,2,1,4,8,7,3]=>[3,7,8,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,6,1,4,5,8,7,3]=>[3,7,8,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,4,2,7,6,3,8,1]=>[1,8,3,6,7,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,7,6,4,5,8,1]=>[1,8,5,4,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,1,7,5,8,3,4]=>[4,3,8,5,7,1,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,6,1,7,4,8,5,3]=>[3,5,8,4,7,1,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,1,2,7,8,4,3,6]=>[6,3,4,8,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,6,1,7,4,8,3,5]=>[5,3,8,4,7,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,6,4,1,7,8,2,5]=>[5,2,8,7,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,6,1,3,8,7,2]=>[2,7,8,3,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [3,6,4,1,5,8,7,2]=>[2,7,8,5,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [2,6,1,5,4,8,7,3]=>[3,7,8,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,6,1,4,7,8,5,3]=>[3,5,8,7,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,1,2,4,8,6,7,3]=>[3,7,6,8,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,1,2,4,8,7,3,6]=>[6,3,7,8,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,1,2,4,8,7,6,3]=>[3,6,7,8,4,2,1,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [1,2,3,8,5,4,7,6]=>[6,7,4,5,8,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,1,2,8,5,7,6]=>[6,7,5,8,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,1,5,3,8,6,4,7]=>[7,4,6,8,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,3,8,5,6,4,7]=>[7,4,6,5,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,3,8,5,4,6,7]=>[7,6,4,5,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,2,4,8,6,3,7]=>[7,3,6,8,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,2,4,8,3,7,6]=>[6,7,3,8,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,6,3,1,4,8,2,7]=>[7,2,8,4,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,4,3,1,8,6,7]=>[7,6,8,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,3,1,8,7,2]=>[2,7,8,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [3,6,4,5,1,8,7,2]=>[2,7,8,1,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [3,6,5,4,1,8,7,2]=>[2,7,8,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,2,6,1,7,8,4,3]=>[3,4,8,7,1,6,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,1,6,2,8,7,3,4]=>[4,3,7,8,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,1,3,7,8,6,4,5]=>[5,4,6,8,7,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,1,3,7,8,5,6,4]=>[4,6,5,8,7,3,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,2,4,1,7,8,6,3]=>[3,6,8,7,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,3,1,2,8,6,7,5]=>[5,7,6,8,2,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,1,4,2,8,6,7,3]=>[3,7,6,8,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,1,3,6,8,5,7,4]=>[4,7,5,8,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,2,3,8,6,7,4,5]=>[5,4,7,6,8,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,3,8,5,7,4,6]=>[6,4,7,5,8,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,1,3,6,8,7,4,5]=>[5,4,7,8,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,4,1,2,8,7,6,3]=>[3,6,7,8,2,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [3,1,6,2,8,7,5,4]=>[4,5,7,8,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [1,2,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [1,2,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [1,2,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [1,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [1,2,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [1,2,3,4,5,9,7,6,8]=>[8,6,7,9,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [1,2,3,4,5,6,10,7,8,9]=>[9,8,7,10,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [1,2,3,4,9,6,5,7,8]=>[8,7,5,6,9,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [1,2,3,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [1,2,3,9,5,4,6,7,8]=>[8,7,6,4,5,9,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [1,2,3,4,10,5,6,7,8,9]=>[9,8,7,6,5,10,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [1,2,9,4,3,5,6,7,8]=>[8,7,6,5,3,4,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [1,2,3,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[9,1]=>9 [1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,9,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [1,2,10,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,10,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,1]=>9 [8,4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4,8]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,2,1,1,1]=>1 [8,4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4,8]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,3,1,1]=>1 [8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,3,1,1]=>1 [8,7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7,8]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>1 [8,6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6,8]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,2,1,2,1]=>1 [8,5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5,8]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,2,2,1,1]=>1 [8,1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1,8]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>2 [8,1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1,8]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>2 [8,2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2,8]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>1 [8,3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3,8]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>1 [8,5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5,8]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>1 [8,6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6,8]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>1 [8,7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7,8]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>1 [8,4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4,8]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>2 [8,3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3,8]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>2 [8,2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2,8]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>3 [8,1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1,8]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>3 [8,7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7,8]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [8,1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1,8]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>2 [8,3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3,8]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>1 [8,4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4,8]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>1 [8,5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5,8]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>1 [8,6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6,8]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>2 [8,5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5,8]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>2 [8,3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3,8]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>2 [8,7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7,8]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>2 [8,7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7,8]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [6,8,1,3,2,5,4,7]=>[7,4,5,2,3,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,8,2,5,3,6,1,4]=>[4,1,6,3,5,2,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,1,4,3,6,2,5]=>[5,2,6,3,4,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [5,8,1,4,3,7,2,6]=>[6,2,7,3,4,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,2,5,3,7,1,4]=>[4,1,7,3,5,2,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,8,2,5,4,7,1,3]=>[3,1,7,4,5,2,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,5,4,7,6,8,1,3]=>[3,1,8,6,7,4,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,5,3,7,6,8,1,4]=>[4,1,8,6,7,3,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,6,1,4,3,7,5,8]=>[8,5,7,3,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,8,1,4,3,7]=>[7,3,4,1,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,1,5,3,7,4,8]=>[8,4,7,3,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,2,6,3,7,1,5]=>[5,1,7,3,6,2,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,8,1,5,3,7,2,6]=>[6,2,7,3,5,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,1,5,2,6,3,7]=>[7,3,6,2,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,3,7,1,5,2,6]=>[6,2,5,1,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [6,8,3,7,1,4,2,5]=>[5,2,4,1,7,3,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [6,8,5,7,1,3,2,4]=>[4,2,3,1,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [5,7,6,8,2,4,1,3]=>[3,1,4,2,8,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [4,7,6,8,1,3,2,5]=>[5,2,3,1,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [4,7,1,3,2,6,5,8]=>[8,5,6,2,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,7,6,8,2,5,1,3]=>[3,1,5,2,8,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [4,7,5,8,3,6,1,2]=>[2,1,6,3,8,5,7,4]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,7,5,8,2,6,1,3]=>[3,1,6,2,8,5,7,4]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,7,5,8,2,6,1,4]=>[4,1,6,2,8,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,7,4,8,2,6,1,5]=>[5,1,6,2,8,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,7,4,8,1,5,2,6]=>[6,2,5,1,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,2,6,5,8,1,4]=>[4,1,8,5,6,2,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,6,5,8,4,7,1,2]=>[2,1,7,4,8,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,6,5,8,3,7,1,4]=>[4,1,7,3,8,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,3,7,1,5,4,8]=>[8,4,5,1,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [7,6,4,3,8,2,5,1]=>[1,5,2,8,3,4,6,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,6,4,8,5,2,3,1]=>[1,3,2,5,8,4,6,7]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [6,8,4,3,7,2,1,5]=>[5,1,2,7,3,4,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [6,7,4,3,5,1,8,2]=>[2,8,1,5,3,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,3,5,4,8,2,1]=>[1,2,8,4,5,3,7,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,8,3,7,5,2,4,1]=>[1,4,2,5,7,3,8,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,1,2,1]=>1 [7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [7,6,3,5,8,2,4,1]=>[1,4,2,8,5,3,6,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [7,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,4,2,5,1,8,3]=>[3,8,1,5,2,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,6,2,8,4,1,5,3]=>[3,5,1,4,8,2,6,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [7,6,3,8,2,4,1,5]=>[5,1,4,2,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,6,3,4,8,2,5,1]=>[1,5,2,8,4,3,6,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [6,8,3,7,4,5,2,1]=>[1,2,5,4,7,3,8,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,3,2,1]=>1 [6,7,3,5,8,4,2,1]=>[1,2,4,8,5,3,7,6]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [5,7,8,3,6,2,1,4]=>[4,1,2,6,3,8,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,8,3,6,7,2,1,4]=>[4,1,2,7,6,3,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [6,3,4,8,7,2,5,1]=>[1,5,2,7,8,4,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [6,3,8,4,7,2,1,5]=>[5,1,2,7,4,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [6,2,8,4,1,7,5,3]=>[3,5,7,1,4,8,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [6,2,7,4,1,5,3,8]=>[8,3,5,1,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,7,5,8,2,1]=>[1,2,8,5,7,4,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,3,5,7,8,4,2,1]=>[1,2,4,8,7,5,3,6]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [5,7,3,6,8,2,1,4]=>[4,1,2,8,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,6,8,3,7,2,1,4]=>[4,1,2,7,3,8,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [5,6,7,3,4,1,8,2]=>[2,8,1,4,3,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,7,8,3,5,2,1]=>[1,2,5,3,8,7,6,4]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [4,6,8,3,5,7,2,1]=>[1,2,7,5,3,8,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [4,7,3,5,6,8,2,1]=>[1,2,8,6,5,3,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,7,3,5,8,2,6,1]=>[1,6,2,8,5,3,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,3,4,7,8,2,1,6]=>[6,1,2,8,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,8,2,4,1,6,7]=>[7,6,1,4,2,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,4,8,2,6,1,7]=>[7,1,6,2,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,8,3,6,2,5,7,1]=>[1,7,5,2,6,3,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,8,3,5,7,2,6,1]=>[1,6,2,7,5,3,8,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [4,8,3,5,6,7,2,1]=>[1,2,7,6,5,3,8,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [4,7,8,3,5,6,2,1]=>[1,2,6,5,3,8,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [4,7,8,3,6,2,5,1]=>[1,5,2,6,3,8,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [4,8,3,6,7,2,5,1]=>[1,5,2,7,6,3,8,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [4,8,3,7,2,5,6,1]=>[1,6,5,2,7,3,8,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [5,3,4,8,2,7,6,1]=>[1,6,7,2,8,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [5,3,8,2,4,1,7,6]=>[6,7,1,4,2,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,2,8,4,1,7,3,6]=>[6,3,7,1,4,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,4,2,5,1,8,7,3]=>[3,7,8,1,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [6,4,3,5,8,2,1,7]=>[7,1,2,8,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,3,5,8,7,2,4,1]=>[1,4,2,7,8,5,3,6]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [5,8,3,7,2,6,4,1]=>[1,4,6,2,7,3,8,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>1 [5,7,3,4,8,2,1,6]=>[6,1,2,8,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,8,4,2,3,1,6,7]=>[7,6,1,3,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,4,2,3,1,7,6]=>[6,7,1,3,2,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,4,5,3,8,2,1,7]=>[7,1,2,8,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,8,5,3,7,2,1]=>[1,2,7,3,5,8,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [6,4,3,8,5,7,2,1]=>[1,2,7,5,8,3,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [6,4,2,8,5,3,1,7]=>[7,1,3,5,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,2,7,3,1,8,5]=>[5,8,1,3,7,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,3,7,8,5,2,1]=>[1,2,5,8,7,3,4,6]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [6,4,5,3,7,1,8,2]=>[2,8,1,7,3,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,4,2,3,1,6,8]=>[8,6,1,3,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,7,1,8,2,4]=>[4,2,8,1,7,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,3,4,7,1,8,2]=>[2,8,1,7,4,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,6,3,4,8,2,1,7]=>[7,1,2,8,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,3,5,7,4,8,2,1]=>[1,2,8,4,7,5,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,3,5,4,7,8,2,1]=>[1,2,8,7,4,5,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,4,3,5,7,1,8,2]=>[2,8,1,7,5,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,2,5,1,7,3,8]=>[8,3,7,1,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,2,4,1,6,8]=>[8,6,1,4,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,7,2,6,1,8]=>[8,1,6,2,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,6,2,5,8,1]=>[1,8,5,2,6,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,3,6,8,2,5,1]=>[1,5,2,8,6,3,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [4,6,7,3,5,8,2,1]=>[1,2,8,5,3,7,6,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,5,7,8,3,6,2,1]=>[1,2,6,3,8,7,5,4]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [4,5,8,3,6,7,2,1]=>[1,2,7,6,3,8,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [4,5,8,3,7,2,6,1]=>[1,6,2,7,3,8,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [5,3,4,6,8,2,1,7]=>[7,1,2,8,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,6,8,2,1,4,7]=>[7,4,1,2,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,6,7,1,8,2,4]=>[4,2,8,1,7,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,3,4,6,7,1,8,2]=>[2,8,1,7,6,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,3,5,7,8,2,1]=>[1,2,8,7,5,3,6,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,5,7,3,6,8,2,1]=>[1,2,8,6,3,7,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,5,6,8,3,7,2,1]=>[1,2,7,3,8,6,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [5,7,4,8,6,3,2,1]=>[1,2,3,6,8,4,7,5]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,3,2]=>1 [3,2,6,5,1,8,7,4]=>[4,7,8,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,5,6,7,2,8,4,1]=>[1,4,8,2,7,6,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [7,6,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,3,1]=>1 [6,7,8,9,5,4,3,2,1]=>[1,2,3,4,5,9,8,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,4]=>1 [5,4,3,2,9,8,7,6,1]=>[1,6,7,8,9,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1,1]=>1 [5,6,7,8,9,4,3,2,1]=>[1,2,3,4,9,8,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,5]=>1 [4,5,6,7,8,9,3,2,1]=>[1,2,3,9,8,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,6]=>1 [3,2,1,6,5,4,9,8,7]=>[7,8,9,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1]=>7 [3,2,5,4,7,6,9,8,1]=>[1,8,9,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,7,1]=>1 [3,5,7,2,8,4,9,6,1]=>[1,6,9,4,8,2,7,5,3]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,5,3]=>1 [3,4,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,7]=>1 [2,4,5,6,7,8,1,9,3]=>[3,9,1,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [8,9,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,9,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,3]=>1 [7,8,9,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,9,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,4]=>1 [5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1,1]=>6 [5,6,7,8,9,10,4,3,2,1]=>[1,2,3,4,10,9,8,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,6]=>1 [4,3,2,7,6,5,10,9,8,1]=>[1,8,9,10,5,6,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,7,1,1]=>1 [4,5,6,7,8,9,10,3,2,1]=>[1,2,3,10,9,8,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,7]=>1 [3,4,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,8]=>1 [2,4,6,1,8,3,9,5,10,7]=>[7,10,5,9,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,3]=>7 [1,6,2,5,3,4,8,7]=>[7,8,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,7,2,3,6,4,8,5]=>[5,8,4,6,3,2,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,5,2,8,4,7,6]=>[6,7,4,8,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,6,1,2,4,8,7]=>[7,8,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,1,5,8,4,2,3,6]=>[6,3,2,4,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,1,4,5,8,2,3,6]=>[6,3,2,8,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,1,6,2,8,3,5]=>[5,3,8,2,6,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [2,1,7,5,8,3,4,6]=>[6,4,3,8,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,5,4,8,2,3,6]=>[6,3,2,8,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,4,8,5,2,3,6]=>[6,3,2,5,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,4,1,7,2,3,8,5]=>[5,8,3,2,7,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,8,3,1,2,4,6,5]=>[5,6,4,2,1,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [8,7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [7,6,1,8,4,2,3,5]=>[5,3,2,4,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,3,8,1,2,4,6,5]=>[5,6,4,2,1,8,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [8,3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [7,3,6,1,2,4,8,5]=>[5,8,4,2,1,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,1,8,4,2,3,5]=>[5,3,2,4,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,8,1,7,4,2,3,5]=>[5,3,2,4,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [7,1,8,5,4,2,3,6]=>[6,3,2,4,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,8,4,5,2,3,6]=>[6,3,2,5,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,1,7,8,5,3,4,6]=>[6,4,3,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,6,3,1,2,4,8,5]=>[5,8,4,2,1,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,2,3,8,7,5,4]=>[4,5,7,8,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [6,8,1,4,2,3,7,5]=>[5,7,3,2,4,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,3,1,2,7,4,5]=>[5,4,7,2,1,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,7,3,1,2,8,4,5]=>[5,4,8,2,1,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,7,1,4,2,3,8,5]=>[5,8,3,2,4,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,6,8,5,7,1,2]=>[2,1,7,5,8,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,1,2,5,4,8,3,7]=>[7,3,8,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,8,5,4,1,7,6]=>[6,7,1,4,5,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [7,8,2,1,4,6,3,5]=>[5,3,6,4,1,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,2,1,5,8,3,4,6]=>[6,4,3,8,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,4,8,5,1,3,6,7]=>[7,6,3,1,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,3,6,8,7,4,2,5]=>[5,2,4,7,8,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [1,2,8,5,7,3,4,6]=>[6,4,3,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,7,1,6,8,4,3,2]=>[2,3,4,8,6,1,7,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [4,8,1,2,5,7,3,6]=>[6,3,7,5,2,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [3,8,1,4,7,2,5,6]=>[6,5,2,7,4,1,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [1,7,8,4,6,2,5,3]=>[3,5,2,6,4,8,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [3,7,4,8,5,1,6,2]=>[2,6,1,5,8,4,7,3]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,7,1,6,5,4,8,2]=>[2,8,4,5,6,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,7,3,1,5,8,4,6]=>[6,4,8,5,1,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,4,6,8,1,3,5]=>[5,3,1,8,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,7,5,8,6,4,1,3]=>[3,1,4,6,8,5,7,2]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [8,2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2,8]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,1,1,2,1]=>1 [3,8,7,1,6,4,5,2]=>[2,5,4,6,1,7,8,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [3,6,8,2,7,4,1,5]=>[5,1,4,7,2,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [1,5,2,8,7,4,6,3]=>[3,6,4,7,8,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [3,4,2,7,8,1,6,5]=>[5,6,1,8,7,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [4,1,3,7,5,6,8,2]=>[2,8,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,8,1,7,4,2,5]=>[5,2,4,7,1,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [6,5,8,7,1,4,2,3]=>[3,2,4,1,7,8,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [4,1,7,3,8,5,2,6]=>[6,2,5,8,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,6,1,4,5,8,2,7]=>[7,2,8,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,7,4,5,3,8,2]=>[2,8,3,5,4,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,7,3,5,4,8,2]=>[2,8,4,5,3,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,1,2,5,8,4,7]=>[7,4,8,5,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,7,2,8,5,3,6]=>[6,3,5,8,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,6,8,7,2,4,1,3]=>[3,1,4,2,7,8,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [6,8,5,7,1,2,4,3]=>[3,4,2,1,7,5,8,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [2,8,4,1,7,5,6,3]=>[3,6,5,7,1,4,8,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [8,2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [6,8,2,1,5,7,3,4]=>[4,3,7,5,1,2,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,2,8,4,1,6,3,5]=>[5,3,6,1,4,8,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,2,4,8,6,5,3,7]=>[7,3,5,6,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,1,5,6,8,4,3,2]=>[2,3,4,8,6,5,1,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [2,7,8,1,4,6,3,5]=>[5,3,6,4,1,8,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,8,2,5,7,1,6,3]=>[3,6,1,7,5,2,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [4,1,6,8,5,3,7,2]=>[2,7,3,5,8,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,2,6,4,8,3,1,7]=>[7,1,3,8,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,7,1,3,4,5,8,2]=>[2,8,5,4,3,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,7,3,2,4,8,5,6]=>[6,5,8,4,2,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,6,5,2,8,4,7]=>[7,4,8,2,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,1,6,5,3,4,8,2]=>[2,8,4,3,5,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,4,2,8,7,5,1]=>[1,5,7,8,2,4,3,6]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [6,8,7,4,2,3,5,1]=>[1,5,3,2,4,7,8,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,4,2,1]=>1 [8,6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,5,6,3,4,8,7,1]=>[1,7,8,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,5,3,6,8,7,4,1]=>[1,4,7,8,6,3,5,2]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [3,8,7,2,6,4,5,1]=>[1,5,4,6,2,7,8,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [6,3,5,4,8,7,2,1]=>[1,2,7,8,4,5,3,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [4,3,8,6,1,5,2,7]=>[7,2,5,1,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,7,2,4,3,8,6]=>[6,8,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,3,4,8,6,2,7]=>[7,2,6,8,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,2,8,3,7,6,1]=>[1,6,7,3,8,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [8,2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2,8]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [5,8,2,4,7,6,3,1]=>[1,3,6,7,4,2,8,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,3,1,1]=>1 [6,8,2,5,3,4,7,1]=>[1,7,4,3,5,2,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [1,6,7,4,8,2,3,5]=>[5,3,2,8,4,7,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,3,1,4,7,5,8,2]=>[2,8,5,7,4,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,1,3,8,2,6,7,5]=>[5,7,6,2,8,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,6,1,4,7,2,8,5]=>[5,8,2,7,4,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,7,4,5,8,1,3]=>[3,1,8,5,4,7,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,1,8,4,5,7,3,6]=>[6,3,7,5,4,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,8,5,7,3,2,4,6]=>[6,4,2,3,7,5,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,1,8,5,4,3,6,7]=>[7,6,3,4,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,7,4,1,5,3,8,6]=>[6,8,3,5,1,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,8,6,2,3,1,5]=>[5,1,3,2,6,8,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,1,4,6,3,8,5]=>[5,8,3,6,4,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,1,3,2,8,5,4,6]=>[6,4,5,8,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,8,5,4,1,3,6,7]=>[7,6,3,1,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,1,7,4,2,3,8,6]=>[6,8,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [7,5,2,8,4,6,1,3]=>[3,1,6,4,8,2,5,7]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,7,4,3,6,2,8,1]=>[1,8,2,6,3,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,5,1,2,8,3,4]=>[4,3,8,2,1,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,2,6,8,3,4,7,1]=>[1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [7,6,2,4,5,8,3,1]=>[1,3,8,5,4,2,6,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [3,6,8,4,7,2,5,1]=>[1,5,2,7,4,8,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [7,6,3,8,4,2,5,1]=>[1,5,2,4,8,3,6,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [2,6,3,8,4,7,5,1]=>[1,5,7,4,8,3,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [2,1,5,6,8,3,7,4]=>[4,7,3,8,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,8,1,2,6,4,7,3]=>[3,7,4,6,2,1,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,5,7,2,8,4,1,3]=>[3,1,4,8,2,7,5,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [7,5,1,2,8,4,6,3]=>[3,6,4,8,2,1,5,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,4,8,3,6,2,7,1]=>[1,7,2,6,3,8,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,4,5,8,2,7,3,1]=>[1,3,7,2,8,5,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [1,5,6,4,8,2,7,3]=>[3,7,2,8,4,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,4,6,3,5,7,8,2]=>[2,8,7,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,1,4,2,7,8,5]=>[5,8,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,6,3,1,7,8,5]=>[5,8,7,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,6,4,3,8,5,7]=>[7,5,8,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,5,1,8,4,7,6]=>[6,7,4,8,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,3,6,1,8,5,4,7]=>[7,4,5,8,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,7,4,6,8,3,5]=>[5,3,8,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,7,5,1,8,4,6]=>[6,4,8,1,5,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,2,5,3,8,6,1]=>[1,6,8,3,5,2,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,1,7,5,4,8,6,2]=>[2,6,8,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,2,7,6,4,8,5,3]=>[3,5,8,4,6,7,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,3,6,1,8,5,7,4]=>[4,7,5,8,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,2,5,8,4,7,3,6]=>[6,3,7,4,8,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,6,8,5,4,7,3]=>[3,7,4,5,8,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,3,6,8,5,2,7,4]=>[4,7,2,5,8,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,4,7,6,8,3,1,5]=>[5,1,3,8,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,4,6,8,3,5,2,7]=>[7,2,5,3,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,3,6,8,5,2,4,7]=>[7,4,2,5,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,6,8,5,4,3,7]=>[7,3,4,5,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,5,8,4,3,7,6]=>[6,7,3,4,8,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,3,5,8,2,4,7,6]=>[6,7,4,2,8,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,3,6,8,2,5,4,7]=>[7,4,5,2,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,6,8,3,2,5,7]=>[7,5,2,3,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,7,4,8,1,2,6]=>[6,2,1,8,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,6,1,7,5,8,2,3]=>[3,2,8,5,7,1,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,3,6,7,5,8,1,4]=>[4,1,8,5,7,6,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,3,7,5,6,8,2,4]=>[4,2,8,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,5,4,6,8,2,1,7]=>[7,1,2,8,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,4,6,8,1,2,7]=>[7,2,1,8,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,4,7,5,8,3,6]=>[6,3,8,5,7,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,5,7,3,8,6,4]=>[4,6,8,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,1,5,7,6,8,4,2]=>[2,4,8,6,7,5,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [3,1,6,5,8,7,4,2]=>[2,4,7,8,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [2,3,6,5,8,7,1,4]=>[4,1,7,8,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,2,7,5,6,8,4,3]=>[3,4,8,6,5,7,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [4,6,2,7,5,8,3,1]=>[1,3,8,5,7,2,6,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [3,5,7,4,8,2,6,1]=>[1,6,2,8,4,7,5,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [2,4,7,6,8,3,5,1]=>[1,5,3,8,6,7,4,2]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [1,4,6,8,3,5,7,2]=>[2,7,5,3,8,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [1,3,6,8,2,5,7,4]=>[4,7,5,2,8,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,3,5,8,2,7,4,6]=>[6,4,7,2,8,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,5,8,4,7,6,3]=>[3,6,7,4,8,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,2,4,8,7,3,6,5]=>[5,6,3,7,8,4,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,2,5,8,7,4,3,6]=>[6,3,4,7,8,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,3,5,8,7,2,4,6]=>[6,4,2,7,8,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,3,7,6,8,5,1,4]=>[4,1,5,8,6,7,3,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [5,7,1,2,8,6,4,3]=>[3,4,6,8,2,1,7,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [3,1,7,6,8,5,4,2]=>[2,4,5,8,6,7,1,3]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [1,2,6,8,5,7,4,3]=>[3,4,7,5,8,6,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [1,2,5,8,7,4,6,3]=>[3,6,4,7,8,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,2,4,8,7,6,3,5]=>[5,3,6,7,8,4,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [6,4,5,7,2,8,1,3]=>[3,1,8,2,7,5,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,2,7,4,6,8,1,5]=>[5,1,8,6,4,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,3,6,2,7,1,4,8]=>[8,4,1,7,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,4,7,1,5,8]=>[8,5,1,7,4,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,4,5,6,8,1,2]=>[2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [2,5,7,3,6,8,1,4]=>[4,1,8,6,3,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,7,6,2,3,8,1,5]=>[5,1,8,3,2,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,6,2,4,5,8,1,3]=>[3,1,8,5,4,2,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,3,1,2,8,4,7,6]=>[6,7,4,8,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,5,2,3,7,1,4,8]=>[8,4,1,7,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,7,3,4,6,8]=>[8,6,4,3,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,8,3,4,6,7]=>[7,6,4,3,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,2,3,1,8,4,7,5]=>[5,7,4,8,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6,8]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,4,2,1]=>1 [7,1,6,2,3,4,5,8]=>[8,5,4,3,2,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [8,1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [1,7,5,8,2,3,6,4]=>[4,6,3,2,8,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,2,1,8,3,4,5,6]=>[6,5,4,3,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,8,3,4,5,6,1]=>[1,6,5,4,3,8,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [1,7,8,3,4,5,6,2]=>[2,6,5,4,3,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [1,4,5,8,3,6,7,2]=>[2,7,6,3,8,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,5,7,1,8,3,6,4]=>[4,6,3,8,1,7,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,2,7,1,8,4,5,3]=>[3,5,4,8,1,7,2,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [4,7,1,3,8,5,6,2]=>[2,6,5,8,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,6,2,8,4,5,7,3]=>[3,7,5,4,8,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,4,5,8,7,1,2,3]=>[3,2,1,7,8,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>3 [5,3,4,8,7,1,2,6]=>[6,2,1,7,8,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,1,8,7,2,4,6,5]=>[5,6,4,2,7,8,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [6,8,2,3,5,1,4,7]=>[7,4,1,5,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,7,8,2,6,1,3,5]=>[5,3,1,6,2,8,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [6,2,8,7,1,4,5,3]=>[3,5,4,1,7,8,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [2,7,6,1,3,4,5,8]=>[8,5,4,3,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,2,3,4,5,8]=>[8,5,4,3,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,2,3,4,5,7]=>[7,5,4,3,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,7,3,4,5,6,1]=>[1,6,5,4,3,7,8,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [3,8,7,2,4,5,6,1]=>[1,6,5,4,2,7,8,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [7,8,3,6,2,4,5,1]=>[1,5,4,2,6,3,8,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,4,1,2]=>1 [1,5,8,7,2,3,6,4]=>[4,6,3,2,7,8,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [8,7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>2 [3,6,2,4,7,1,8,5]=>[5,8,1,7,4,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,7,2,5,1,8,6]=>[6,8,1,5,2,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,6,4,8,5,3,7]=>[7,3,5,8,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,8,5,3,2,7,6]=>[6,7,2,3,5,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,6,2,5,7,1,4,8]=>[8,4,1,7,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [6,1,3,2,8,5,4,7]=>[7,4,5,8,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,1,2,8,4,3,7]=>[7,3,4,8,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,3,8,7,4,2,5]=>[5,2,4,7,8,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [4,3,8,1,2,6,7,5]=>[5,7,6,2,1,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1,1]=>6 [11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2,2,2]=>2 [3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,5,1,4,6,7,8,9]=>[9,8,7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,6,1,5,7,8,9]=>[9,8,7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,7,1,6,8,9]=>[9,8,6,1,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,4,5,6,8,1,7,9]=>[9,7,1,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,4,1,6,5,8,7,2]=>[2,7,8,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [3,5,1,2,4,8,7,6]=>[6,7,8,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,7,5,2,1,4,6,8]=>[8,6,4,1,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,5,2,7,4,1,6]=>[6,1,4,7,2,5,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [5,2,8,4,7,3,1,6]=>[6,1,3,7,4,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,2,7,4,1,3,6,8]=>[8,6,3,1,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,1,2,8,7,6]=>[6,7,8,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,1,4,6,2,8,7,5]=>[5,7,8,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,4,5,6,1,8,7,2]=>[2,7,8,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [3,4,5,8,7,2,1,6]=>[6,1,2,7,8,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,4,7,2,6,3,5,8]=>[8,5,3,6,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [1,8,5,7,3,4,6,2]=>[2,6,4,3,7,5,8,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [6,4,8,5,7,1,2,3]=>[3,2,1,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>3 [5,4,8,1,6,3,2,7]=>[7,2,3,6,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,7,6,3,8,1,2]=>[2,1,8,3,6,7,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,6,3,7,5,8,1,2]=>[2,1,8,5,7,3,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,1,3,5,8,6,2,7]=>[7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,7,4,3,8,1,2,6]=>[6,2,1,8,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,8,4,2,7,1,5,6]=>[6,5,1,7,2,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,1,2,5,7,6,4,8]=>[8,4,6,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,7,6,5,4,3]=>[3,4,5,6,7,2,8,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1]=>3 [7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2,8]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>3 [1,7,8,5,4,3,6,2]=>[2,6,3,4,5,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [1,8,4,5,3,2,6,7]=>[7,6,2,3,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,8,5,4,3,1,6,2]=>[2,6,1,3,4,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,1,6,3,4,2,5,8]=>[8,5,2,4,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,7,1,4,2,5,3]=>[3,5,2,4,1,7,8,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>3 [3,6,1,4,2,7,5,8]=>[8,5,7,2,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,1,2,8,4,7]=>[7,4,8,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,8,5,6,7,2,1,4]=>[4,1,2,7,6,5,8,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [1,8,6,5,7,3,4,2]=>[2,4,3,7,5,6,8,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [7,4,1,6,5,8,3,2]=>[2,3,8,5,6,1,4,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,1,5,8,7,6,3,2]=>[2,3,6,7,8,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,3,1,1]=>2 [4,2,1,5,8,7,3,6]=>[6,3,7,8,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,4,6,1,7,3,8]=>[8,3,7,1,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,6,1,8,2,7]=>[7,2,8,1,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,5,7,6,8,2,4]=>[4,2,8,6,7,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,4,6,3,7,2,8,5]=>[5,8,2,7,3,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,3,6,5,2,8,4]=>[4,8,2,5,6,3,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,7,2,6,5,4,1,8]=>[8,1,4,5,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,5,4,3,1,8]=>[8,1,3,4,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,2,6,3,1,8]=>[8,1,3,6,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,4,7,5,1,8]=>[8,1,5,7,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,7,5,4,1,8]=>[8,1,4,5,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,7,6,2,8,5]=>[5,8,2,6,7,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,3,6,1,7,5,4]=>[4,5,7,1,6,3,8,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [8,7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7,8]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>3 [3,8,2,6,5,1,7,4]=>[4,7,1,5,6,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,8,2,5,4,1,6,3]=>[3,6,1,4,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [4,8,5,2,6,1,7,3]=>[3,7,1,6,2,5,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,5,1,3,7,2,8,6]=>[6,8,2,7,3,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,1,3,7,5,2,8,4]=>[4,8,2,5,7,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,1,3,6,2,8,5,4]=>[4,5,8,2,6,3,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [8,1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>4 [1,2,4,7,3,8,6,5]=>[5,6,8,3,7,4,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [7,1,8,2,6,5,4,3]=>[3,4,5,6,2,8,1,7]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [3,1,8,6,2,7,5,4]=>[4,5,7,2,6,8,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [4,1,7,8,2,6,5,3]=>[3,5,6,2,8,7,1,4]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [5,6,1,8,2,7,4,3]=>[3,4,7,2,8,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [4,2,7,8,1,6,5,3]=>[3,5,6,1,8,7,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [3,2,8,6,1,7,5,4]=>[4,5,7,1,6,8,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [7,2,8,1,6,5,4,3]=>[3,4,5,6,1,8,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [1,8,7,2,6,5,4,3]=>[3,4,5,6,2,7,8,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>3 [2,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>3 [3,8,7,1,6,5,4,2]=>[2,4,5,6,1,7,8,3]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>2 [4,8,7,5,1,6,3,2]=>[2,3,6,1,5,7,8,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>2 [6,7,8,5,1,4,3,2]=>[2,3,4,1,5,8,7,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>2 [5,6,3,8,4,1,7,2]=>[2,7,1,4,8,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [3,4,8,6,5,1,7,2]=>[2,7,1,5,6,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [8,3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3,8]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [1,4,8,6,2,7,5,3]=>[3,5,7,2,6,8,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [8,4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4,8]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,2,2,1]=>2 [5,6,4,7,8,1,3,2]=>[2,3,1,8,7,4,6,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [3,4,6,5,1,2,8,7]=>[7,8,2,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,3,5,1,2,8,6,4]=>[4,6,8,2,1,5,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,4,6,2,3,8,7,5]=>[5,7,8,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,3,2,7,4,8,6,5]=>[5,6,8,4,7,2,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [7,2,1,6,3,8,5,4]=>[4,5,8,3,6,1,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,3,1,7,6,4,8,5]=>[5,8,4,6,7,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,5,2,1,7,3,8,6]=>[6,8,3,7,1,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,6,7,1,2,8,4,3]=>[3,4,8,2,1,7,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [4,7,5,1,2,8,6,3]=>[3,6,8,2,1,5,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,7,1,6,2,8,5,4]=>[4,5,8,2,6,1,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [7,6,1,2,8,5,4,3]=>[3,4,5,8,2,1,6,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [2,7,1,3,8,6,5,4]=>[4,5,6,8,3,1,7,2]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [8,6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6,8]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,1,2,1]=>3 [1,7,2,3,8,6,5,4]=>[4,5,6,8,3,2,7,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [8,7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7,8]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [7,8,1,2,6,5,4,3]=>[3,4,5,6,2,1,8,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,1,2]=>3 [3,8,1,6,2,7,5,4]=>[4,5,7,2,6,1,8,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [4,8,5,1,2,7,6,3]=>[3,6,7,2,1,5,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,6,8,1,2,7,4,3]=>[3,4,7,2,1,8,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [2,1,3,7,4,8,6,5]=>[5,6,8,4,7,3,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [5,3,6,4,2,8,1,7]=>[7,1,8,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,3,8,2,7,6]=>[6,7,2,8,3,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,6,3,5,4,8,1,7]=>[7,1,8,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,7,4,3,5,8,1,6]=>[6,1,8,5,3,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,3,6,4,2,8,1,5]=>[5,1,8,2,4,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,6,4,5,2,8,1,3]=>[3,1,8,2,5,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,4,3,1,8,2,7,6]=>[6,7,2,8,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,5,4,2,7,3,1,8]=>[8,1,3,7,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,8,3,2,6,7]=>[7,6,2,3,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,2,8,3,4,7,1]=>[1,7,4,3,8,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,5,3,4,8,2,7,1]=>[1,7,2,8,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,1,5,3,8,2,7,4]=>[4,7,2,8,3,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,6,3,1,8,2,7,5]=>[5,7,2,8,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,5,2,6,4,3,1,8]=>[8,1,3,4,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [8,1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1,8]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [7,3,8,4,5,2,6,1]=>[1,6,2,5,4,8,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [7,2,8,5,3,4,6,1]=>[1,6,4,3,5,8,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [6,1,8,4,3,2,5,7]=>[7,5,2,3,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,1,7,4,2,5,3,8]=>[8,3,5,2,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,8,4,3,5,6,2]=>[2,6,5,3,4,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [1,6,2,8,3,5,7,4]=>[4,7,5,3,8,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,1,5,8,4,2,6,7]=>[7,6,2,4,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,1,6,8,2,7,5]=>[5,7,2,8,6,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,7,4,8,3,2,1,6]=>[6,1,2,3,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,4,8,2,7,3,1,6]=>[6,1,3,7,2,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,2,8,7,3,4,1,6]=>[6,1,4,3,7,8,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [6,4,7,5,3,2,1,8]=>[8,1,2,3,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,3,7,6,2,4,5]=>[5,4,2,6,7,3,8,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [5,8,3,2,6,4,1,7]=>[7,1,4,6,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,6,8,7,3,4,1,5]=>[5,1,4,3,7,8,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [7,2,8,6,3,5,1,4]=>[4,1,5,3,6,8,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [2,7,6,3,5,4,1,8]=>[8,1,4,5,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,5,2,4,3,8]=>[8,3,4,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,5,3,2,4,7]=>[7,4,2,3,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,7,4,6,2,5,1]=>[1,5,2,6,4,7,8,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [7,1,8,6,5,2,3,4]=>[4,3,2,5,6,8,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [6,8,4,5,2,3,7,1]=>[1,7,3,2,5,4,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,2,1,8,5,4,7,3]=>[3,7,4,5,8,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,6,5,7,4,1,3,8]=>[8,3,1,4,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,8,4,3,7,1]=>[1,7,3,4,8,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,4,7,5,8,1,6,3]=>[3,6,1,8,5,7,4,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,2,1,8,7,6,4,3]=>[3,4,6,7,8,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,1,2,1,1]=>3 [4,8,5,7,6,1,3,2]=>[2,3,1,6,7,5,8,4]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>2 [4,8,7,5,6,2,3,1]=>[1,3,2,6,5,7,8,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>1 [6,5,4,8,2,1,7,3]=>[3,7,1,2,8,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,8,4,7,2,6,3,1]=>[1,3,6,2,7,4,8,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>1 [1,5,7,4,8,2,6,3]=>[3,6,2,8,4,7,5,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,5,7,3,2,8,6,4]=>[4,6,8,2,3,7,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [5,2,1,4,3,6,7,8]=>[8,7,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,4,2,6,1,8]=>[8,1,6,2,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,4,5,1,2,7,8]=>[8,7,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,6,5,3,7,8]=>[8,7,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,5,7,6,3,8]=>[8,3,6,7,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,5,6,1,2,8]=>[8,2,1,6,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,8,6,7,1,2]=>[2,1,7,6,8,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,2,1,5,6,8,7,3]=>[3,7,8,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,3,2,1,7,6,5,9,8,10]=>[10,8,9,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,3,1,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [6,3,1,5,2,4,8,7,10,9]=>[9,10,7,8,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [8,3,1,5,2,7,4,6,10,9]=>[9,10,6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [10,3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3,10]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,1]=>8 [7,6,5,4,3,2,9,1,8]=>[8,1,9,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [6,5,4,3,9,2,8,1,7]=>[7,1,8,2,9,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[7,1,1]=>7 [6,5,4,3,2,8,1,7,9]=>[9,7,1,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[6,1,1,1]=>6 [5,4,3,8,2,7,1,6,9]=>[9,6,1,7,2,8,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,4,3,2,7,9,1,6,8]=>[8,6,1,9,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [5,4,3,2,7,1,6,8,9]=>[9,8,6,1,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,8,3,7,2,6,1,5,9]=>[9,5,1,6,2,7,3,8,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,3,7,2,6,9,1,5,8]=>[8,5,1,9,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [4,3,7,2,6,1,5,8,9]=>[9,8,5,1,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,3,2,6,8,1,5,7,9]=>[9,7,5,1,8,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,3,2,6,1,5,7,8,9]=>[9,8,7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0,0]=>[7,1,1]=>7 [3,6,2,5,8,1,4,7,9]=>[9,7,4,1,8,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,6,2,5,1,4,7,8,9]=>[9,8,7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,2,5,7,9,1,4,6,8]=>[8,6,4,1,9,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [3,2,5,7,1,4,6,8,9]=>[9,8,6,4,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,2,5,1,4,6,7,8,9]=>[9,8,7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,4,6,1,3,5,7,8,9]=>[9,8,7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,6,5,4,3,2,10,1,9]=>[9,1,10,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [7,6,5,4,3,10,2,9,1,8]=>[8,1,9,2,10,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[8,1,1]=>8 [7,6,5,4,3,2,9,1,8,10]=>[10,8,1,9,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,5,4,3,9,2,8,1,7,10]=>[10,7,1,8,2,9,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,5,4,3,2,8,10,1,7,9]=>[9,7,1,10,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [6,5,4,3,2,8,1,7,9,10]=>[10,9,7,1,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[6,1,1,1,1]=>6 [5,4,9,3,8,2,7,1,6,10]=>[10,6,1,7,2,8,3,9,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,4,3,8,2,7,10,1,6,9]=>[9,6,1,10,7,2,8,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [5,4,3,8,2,7,1,6,9,10]=>[10,9,6,1,7,2,8,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,4,3,2,7,9,1,6,8,10]=>[10,8,6,1,9,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,4,3,2,7,1,6,8,9,10]=>[10,9,8,6,1,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,8,3,7,2,6,10,1,5,9]=>[9,5,1,10,6,2,7,3,8,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [4,8,3,7,2,6,1,5,9,10]=>[10,9,5,1,6,2,7,3,8,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,3,7,2,6,9,1,5,8,10]=>[10,8,5,1,9,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,3,7,2,6,1,5,8,9,10]=>[10,9,8,5,1,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,3,2,6,8,10,1,5,7,9]=>[9,7,5,1,10,8,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [4,3,2,6,8,1,5,7,9,10]=>[10,9,7,5,1,8,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,3,2,6,1,5,7,8,9,10]=>[10,9,8,7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,6,9,2,5,8,1,4,7,10]=>[10,7,4,1,8,5,2,9,6,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,6,2,5,8,10,1,4,7,9]=>[9,7,4,1,10,8,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [3,6,2,5,8,1,4,7,9,10]=>[10,9,7,4,1,8,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,6,2,5,1,4,7,8,9,10]=>[10,9,8,7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,2,5,7,9,1,4,6,8,10]=>[10,8,6,4,1,9,7,5,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,2,5,7,1,4,6,8,9,10]=>[10,9,8,6,4,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,2,5,1,4,6,7,8,9,10]=>[10,9,8,7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,4,6,8,1,3,5,7,9,10]=>[10,9,7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,4,6,1,3,5,7,8,9,10]=>[10,9,8,7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,4,1,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,1,7,3,8,4,6,5]=>[5,6,4,8,3,7,1,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [4,1,8,2,7,3,6,5]=>[5,6,3,7,2,8,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,1,7,2,8,3,6,5]=>[5,6,3,8,2,7,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,1,3,2,8,4,6,5]=>[5,6,4,8,2,3,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,1,8,2,4,3,6,5]=>[5,6,3,4,2,8,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [8,1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [7,1,5,2,8,3,6,4]=>[4,6,3,8,2,5,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,1,7,2,8,3,6,4]=>[4,6,3,8,2,7,1,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,1,8,2,7,3,6,4]=>[4,6,3,7,2,8,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,1,8,2,4,3,7,6]=>[6,7,3,4,2,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,1,8,2,4,3,7,5]=>[5,7,3,4,2,8,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,1,8,2,5,3,7,4]=>[4,7,3,5,2,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [6,1,8,2,7,3,5,4]=>[4,5,3,7,2,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [6,1,7,2,8,3,5,4]=>[4,5,3,8,2,7,1,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,1,7,2,5,3,8,4]=>[4,8,3,5,2,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,7,2,4,3,8,5]=>[5,8,3,4,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,6,2,4,3,8,7]=>[7,8,3,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,1,5,2,4,3,8,6]=>[6,8,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,6,2,4,3,8,5]=>[5,8,3,4,2,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,1,6,2,5,3,8,4]=>[4,8,3,5,2,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,1,6,2,8,3,5,4]=>[4,5,3,8,2,6,1,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,1,8,2,6,3,5,4]=>[4,5,3,6,2,8,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [1,8,6,4,7,2,3,5]=>[5,3,2,7,4,6,8,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,4,8,1,5,2,3,6]=>[6,3,2,5,1,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,1,7,2,6,3,5,8]=>[8,5,3,6,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,8,3,2,4,1,6]=>[6,1,4,2,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,8,5,4,3,6,2,7]=>[7,2,6,3,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,5,4,3,7,2,6]=>[6,2,7,3,4,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,5,4,7,2,6,3]=>[3,6,2,7,4,5,8,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,5,4,2,6,7,3]=>[3,7,6,2,4,5,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,4,8,2,1,3,5,6]=>[6,5,3,1,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,1,7,3,2,5,6,8]=>[8,6,5,2,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,8,2,3,6,1]=>[1,6,3,2,8,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,4,8,2,1,3,7,5]=>[5,7,3,1,2,8,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,3,8,1,5,6,2,4]=>[4,2,6,5,1,8,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [3,1,7,2,6,8,4,5]=>[5,4,8,6,2,7,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,1,7,4,2,6,8,3]=>[3,8,6,2,4,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,6,3,2,5,8,7]=>[7,8,5,2,3,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,3,7,1,2,8,6]=>[6,8,2,1,7,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,1,6,2,5,7,8]=>[8,7,5,2,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,3,7,1,8,2]=>[2,8,1,7,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,2,7,1,6,8,3]=>[3,8,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,1,7,3,8,2,4]=>[4,2,8,3,7,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,2,8,5,7,1,4]=>[4,1,7,5,8,2,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,5,4,2,8,3,7,1]=>[1,7,3,8,2,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,5,4,3,8,7,1,2]=>[2,1,7,8,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [7,5,4,8,6,1,3,2]=>[2,3,1,6,8,4,5,7]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [7,6,3,8,5,4,1,2]=>[2,1,4,5,8,3,6,7]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [6,3,8,1,7,5,2,4]=>[4,2,5,7,1,8,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [6,5,8,3,1,7,4,2]=>[2,4,7,1,3,8,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [5,4,8,2,1,7,3,6]=>[6,3,7,1,2,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,4,3,8,1,6,2,7]=>[7,2,6,1,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,3,7,1,6,2,8]=>[8,2,6,1,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,8,5,1,3,7]=>[7,3,1,5,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,6,4,8,5,1,2,3]=>[3,2,1,5,8,4,6,7]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [7,2,8,6,3,1,4,5]=>[5,4,1,3,6,8,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [7,2,8,6,1,5,3,4]=>[4,3,5,1,6,8,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [2,1,7,8,3,6,4,5]=>[5,4,6,3,8,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,4,1,7,8,2,3,5]=>[5,3,2,8,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,2,1,6,7,3,5,8]=>[8,5,3,7,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,5,2,7,6,8]=>[8,6,7,2,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,7,3,8,1,6]=>[6,1,8,3,7,2,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,5,3,2,8,6,7]=>[7,6,8,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,6,2,8,7,4,5]=>[5,4,7,8,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,3,1,7,8,5,2,4]=>[4,2,5,8,7,1,3,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [5,4,1,7,8,2,6,3]=>[3,6,2,8,7,1,4,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,4,2,6,1,8,7,3]=>[3,7,8,1,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [6,5,4,1,7,8,3,2]=>[2,3,8,7,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,4,3,1,6,7,2,8]=>[8,2,7,6,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,2,7,8,3,1]=>[1,3,8,7,2,4,5,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,4,2,6,3,8,7,1]=>[1,7,8,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [4,3,1,5,2,6,8,7]=>[7,8,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,2,1,6,7,8,3]=>[3,8,7,6,1,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,3,1,6,7,8,2]=>[2,8,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,8,1,2,5,7,4]=>[4,7,5,2,1,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,6,7,1,2,5,8,4]=>[4,8,5,2,1,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,3,1,2,5,6,4]=>[4,6,5,2,1,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,1,3,2,4,6,5]=>[5,6,4,2,3,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,2,1,3,5,4,6]=>[6,4,5,3,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [5,2,3,7,1,8,6,4]=>[4,6,8,1,7,3,2,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,5,3,6,1,8,7,4]=>[4,7,8,1,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [2,6,7,3,1,8,4,5]=>[5,4,8,1,3,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,6,7,1,3,5,4,8]=>[8,4,5,3,1,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,8,3,1,7,4,5]=>[5,4,7,1,3,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,2,5,7,1,8,4,6]=>[6,4,8,1,7,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,3,1,2,7,8,6,5]=>[5,6,8,7,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [5,1,2,7,3,6,4,8]=>[8,4,6,3,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,4,7,8,2,3,6]=>[6,3,2,8,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,4,7,8,6,1,2]=>[2,1,6,8,7,4,3,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [3,5,4,6,8,7,1,2]=>[2,1,7,8,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,5,4,6,8,2,3,7]=>[7,3,2,8,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,7,3,2,4,8,5]=>[5,8,4,2,3,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,5,3,6,2,7,8,4]=>[4,8,7,2,6,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,3,7,2,6,8,4]=>[4,8,6,2,7,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,4,7,8,1,6,3]=>[3,6,1,8,7,4,2,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,2,5,7,6,1,8,3]=>[3,8,1,6,7,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,2,8,6,1,7,3]=>[3,7,1,6,8,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,3,1,8,2,6,7,4]=>[4,7,6,2,8,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,1,8,3,2,4,7,5]=>[5,7,4,2,3,8,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,3,5,7,6,8,1,2]=>[2,1,8,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,1,5,7,6,2,3,8]=>[8,3,2,6,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,8,6,2,3,7]=>[7,3,2,6,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,1,8,3,6,4,7]=>[7,4,6,3,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [7,6,5,4,2,1,8,3]=>[3,8,1,2,4,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,6,5,4,8,1,3,2]=>[2,3,1,8,4,5,6,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [8,7,6,5,4,2,1,9,3]=>[3,9,1,2,4,5,6,7,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [7,6,5,8,2,1,4,3]=>[3,4,1,2,8,5,6,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,6,5,4,3,2,1,9,7]=>[7,9,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [7,6,5,4,1,8,3,2]=>[2,3,8,1,4,5,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [7,6,5,2,8,1,4,3]=>[3,4,1,8,2,5,6,7]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [7,6,5,8,4,1,3,2]=>[2,3,1,4,8,5,6,7]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [7,6,8,5,2,1,4,3]=>[3,4,1,2,5,8,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [9,7,6,5,4,3,2,1,10,8]=>[8,10,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [7,8,2,4,5,1,3,6]=>[6,3,1,5,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [4,6,7,2,5,1,3,8]=>[8,3,1,5,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,1,3,2,4,5,6]=>[6,5,4,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,4,1,5,2,3,6]=>[6,3,2,5,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [3,6,7,2,1,4,5,8]=>[8,5,4,1,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,6,1,4,7,8]=>[8,7,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,3,1,4,5,8]=>[8,5,4,1,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,7,1,5,2,3,8]=>[8,3,2,5,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,7,3,5,8,1,2]=>[2,1,8,5,3,7,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,4,7,1,5,2,3,8]=>[8,3,2,5,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,3,1,4,5,8]=>[8,5,4,1,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,6,1,4,7,8]=>[8,7,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,6,1,4,7,8]=>[8,7,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,4,6,7,2,3,8]=>[8,3,2,7,6,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,6,7,8,1,2]=>[2,1,8,7,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [1,5,4,6,7,2,3,8]=>[8,3,2,7,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,3,2,4,5,8]=>[8,5,4,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,6,2,4,7,8]=>[8,7,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,6,7,1,3,8]=>[8,3,1,7,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,6,7,1,3,8]=>[8,3,1,7,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,4,5,1,3,8]=>[8,3,1,5,4,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,6,7,1,3,8]=>[8,3,1,7,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,6,7,1,3,8]=>[8,3,1,7,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,6,2,4,7,8]=>[8,7,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,3,2,4,5,8]=>[8,5,4,2,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,4,5,2,3,8]=>[8,3,2,5,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,7,4,5,8,1,2]=>[2,1,8,5,4,7,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,4,1,6,7,2,3,8]=>[8,3,2,7,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,6,3,4,7,8]=>[8,7,4,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,5,4,1,6,8]=>[8,6,1,4,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,2,4,1,6,8]=>[8,6,1,4,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,2,1,4,3,8]=>[8,3,4,1,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,7,5,2,8,4]=>[4,8,2,5,7,6,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,3,4,1,6,2,5,8]=>[8,5,2,6,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,1,5,6,2,8]=>[8,2,6,5,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,5,1,6,4,8]=>[8,4,6,1,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,7,2,5,8,4]=>[4,8,5,2,7,6,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,1,4,7,3,8,2]=>[2,8,3,7,4,1,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,2,5,6,8,1,7]=>[7,1,8,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,7,5,4,6,8,1,2]=>[2,1,8,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [2,3,4,5,8,6,1,7]=>[7,1,6,8,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,4,5,8,1,7,6]=>[6,7,1,8,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,7,5,4,6,8,2,1]=>[1,2,8,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,3,1,7,5,6,8,2]=>[2,8,6,5,7,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,1,7,6,5,8,2]=>[2,8,5,6,7,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,7,5,2,6,8,1,4]=>[4,1,8,6,2,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,5,2,4,7,8,1]=>[1,8,7,4,2,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,1,2,4,7,8,6]=>[6,8,7,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,5,2,6,8,3,4]=>[4,3,8,6,2,5,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,7,4,6,5,8,3,2]=>[2,3,8,5,6,4,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [2,3,6,7,1,5,8,4]=>[4,8,5,1,7,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,6,7,5,1,8,4]=>[4,8,1,5,7,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,3,2,6,7,1,8,5]=>[5,8,1,7,6,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,1,5,4,6,8,2,3]=>[3,2,8,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,3,4,5,8,6,1,2]=>[2,1,6,8,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,3,4,5,8,1,6,2]=>[2,6,1,8,5,4,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,3,4,5,8,6,2,7]=>[7,2,6,8,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,3,4,5,8,2,7,1]=>[1,7,2,8,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [7,3,4,5,8,6,2,1]=>[1,2,6,8,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [5,7,4,6,1,8,3,2]=>[2,3,8,1,6,4,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [7,3,4,5,8,2,6,1]=>[1,6,2,8,5,4,3,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [4,7,6,1,8,2,5,3]=>[3,5,2,8,1,6,7,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [4,8,6,1,7,5,2,3]=>[3,2,5,7,1,6,8,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [4,7,8,2,6,1,5,3]=>[3,5,1,6,2,8,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,6,4,2,8,3,5,1]=>[1,5,3,8,2,4,6,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,2,2,1]=>1 [8,4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4,8]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [8,4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4,8]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,2,2,1]=>2 [6,4,7,1,8,3,2,5]=>[5,2,3,8,1,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,4,8,3,6,1,5,2]=>[2,5,1,6,3,8,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [7,8,4,3,6,2,5,1]=>[1,5,2,6,3,4,8,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,4,1,2]=>1 [8,10,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,10,8]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,2,2,3,1]=>2 [8,10,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,10,8]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,3,2,1]=>2 [8,10,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,10,8]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,2,2,1]=>2 [8,10,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,10,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,2,1]=>3 [7,10,5,9,4,8,2,6,1,3]=>[3,1,6,2,8,4,9,5,10,7]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,3,2,1,1]=>3 [7,10,5,9,3,8,2,6,1,4]=>[4,1,6,2,8,3,9,5,10,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,2,1,1]=>4 [6,10,5,9,3,8,2,7,1,4]=>[4,1,7,2,8,3,9,5,10,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[4,3,1,1,1]=>4 [6,10,4,9,3,8,2,7,1,5]=>[5,1,7,2,8,3,9,4,10,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,2,1,1,1]=>5 [10,12,9,11,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,11,9,12,10]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,2,2,2,3,1]=>2 [10,12,8,11,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,11,8,12,10]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,3,2,1]=>2 [11,12,8,10,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,10,8,12,11]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,2,3,2,1,2]=>2 [10,12,8,11,6,9,5,7,3,4,1,2]=>[2,1,4,3,7,5,9,6,11,8,12,10]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,3,2,2,1]=>2 [9,12,8,11,6,10,5,7,3,4,1,2]=>[2,1,4,3,7,5,10,6,11,8,12,9]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,2,3,3,1,1]=>2 [10,12,8,11,6,9,4,7,3,5,1,2]=>[2,1,5,3,7,4,9,6,11,8,12,10]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,2,2,2,1]=>2 [11,12,8,10,7,9,5,6,2,4,1,3]=>[3,1,4,2,6,5,9,7,10,8,12,11]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,2,3,1,2]=>3 [9,12,8,11,7,10,5,6,2,4,1,3]=>[3,1,4,2,6,5,10,7,11,8,12,9]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,2,4,1,1]=>3 [11,12,9,10,7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7,10,9,12,11]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,2,2,2]=>3 [11,12,8,10,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,10,8,12,11]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,2,2,1,2]=>3 [10,12,8,11,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,11,8,12,10]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,2,2,1]=>3 [9,12,8,11,6,10,4,7,2,5,1,3]=>[3,1,5,2,7,4,10,6,11,8,12,9]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,2,3,1,1]=>3 [11,12,9,10,5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5,10,9,12,11]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,3,1,1,2,2]=>3 [11,12,7,10,5,9,4,8,2,6,1,3]=>[3,1,6,2,8,4,9,5,10,7,12,11]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,3,2,1,1,2]=>3 [9,12,7,11,5,10,4,8,2,6,1,3]=>[3,1,6,2,8,4,10,5,11,7,12,9]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,3,2,2,1,1]=>3 [11,12,8,10,7,9,3,6,2,5,1,4]=>[4,1,5,2,6,3,9,7,10,8,12,11]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,3,1,2]=>4 [9,12,8,11,7,10,3,6,2,5,1,4]=>[4,1,5,2,6,3,10,7,11,8,12,9]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,1,4,1,1]=>4 [11,12,8,10,5,9,3,7,2,6,1,4]=>[4,1,6,2,7,3,9,5,10,8,12,11]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[4,2,1,2,1,2]=>4 [9,12,8,11,5,10,3,7,2,6,1,4]=>[4,1,6,2,7,3,10,5,11,8,12,9]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,3,1,1]=>4 [11,12,6,10,5,9,3,8,2,7,1,4]=>[4,1,7,2,8,3,9,5,10,6,12,11]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,1,1,1,2]=>4 [9,12,6,11,5,10,3,8,2,7,1,4]=>[4,1,7,2,8,3,10,5,11,6,12,9]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,1,2,1,1]=>4 [7,12,6,11,5,10,3,9,2,8,1,4]=>[4,1,8,2,9,3,10,5,11,6,12,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[4,4,1,1,1,1]=>4 [6,2,1,7,3,5,4,8]=>[8,4,5,3,7,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,8,6,3,5,4,7]=>[7,4,5,3,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,1,7,3,5,8,6,4]=>[4,6,8,5,3,7,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,7,3,1,5,4,6,8]=>[8,6,4,5,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,1,4,8,5,7]=>[7,5,8,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,1,8,3,6,7,5]=>[5,7,6,3,8,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,1,8,6,3,5,7,4]=>[4,7,5,3,6,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,2,1,7,3,5,8,4]=>[4,8,5,3,7,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,3,1,4,8,5,6]=>[6,5,8,4,1,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,2,1,6,4,5,7,8]=>[8,7,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,5,7,8,4,6]=>[6,4,8,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,7,3,6,8,4,5]=>[5,4,8,6,3,7,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,3,1,5,6,8,4]=>[4,8,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,4,7,5,1,6,8,3]=>[3,8,6,1,5,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,7,5,6,1,8,2]=>[2,8,1,6,5,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,6,8,5,1,7,2]=>[2,7,1,5,8,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,6,1,8,3,5,7,4]=>[4,7,5,3,8,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,1,6,8,3,7,4,5]=>[5,4,7,3,8,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,1,8,3,5,7,4,6]=>[6,4,7,5,3,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,2,1,5,6,8,4,7]=>[7,4,8,6,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,1,5,7,4,6,8]=>[8,6,4,7,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,7,3,6,4,5,8]=>[8,5,4,6,3,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,6,3,5,8,4,7]=>[7,4,8,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [3,8,4,7,5,1,6,2]=>[2,6,1,5,7,4,8,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [8,4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [8,2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [2,6,1,8,3,5,4,7]=>[7,4,5,3,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,3,1,5,6,4,8]=>[8,4,6,5,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,5,1,6,3,8]=>[8,3,6,1,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [5,8,6,3,1,7,4,2]=>[2,4,7,1,3,6,8,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [2,4,7,1,8,5,3,6]=>[6,3,5,8,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,4,8,5,1,6,3,7]=>[7,3,6,1,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,1,7,3,4,8,5]=>[5,8,4,3,7,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,1,7,8,3,5,4]=>[4,5,3,8,7,1,2,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,7,1,8,3,5,6,4]=>[4,6,5,3,8,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,1,8,3,6,4,5,7]=>[7,5,4,6,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,1,6,7,4,5,8]=>[8,5,4,7,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,7,4,5,6,8]=>[8,6,5,4,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,6,8,4,5,7]=>[7,5,4,8,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,1,8,3,7,4,5,6]=>[6,5,4,7,3,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [2,1,8,3,6,7,4,5]=>[5,4,7,6,3,8,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,4,8,5,1,6,7,3]=>[3,7,6,1,5,8,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,3,8,5,6,1,7,2]=>[2,7,1,6,5,8,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,2,1,8,4,5,6,7]=>[7,6,5,4,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,8,3,7,2,4,5]=>[5,4,2,7,3,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [1,2,6,8,4,7,3,5]=>[5,3,7,4,8,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,1,5,8,2,4,7,3]=>[3,7,4,2,8,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,1,2,7,8,3,6,5]=>[5,6,3,8,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,5,7,4,8,6,1,2]=>[2,1,6,8,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,3,8,4,7,6,1,2]=>[2,1,6,7,4,8,3,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [8,7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [7,1,6,2,8,4,5,3]=>[3,5,4,8,2,6,1,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [1,2,6,3,8,5,4,7]=>[7,4,5,8,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,7,3,8,5,4,6]=>[6,4,5,8,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,6,4,2,7,3,5,8]=>[8,5,3,7,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,3,2,4,5,7]=>[7,5,4,2,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,1,7,8,6,2,4,5]=>[5,4,2,6,8,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,8,7,2,4,5,6,3]=>[3,6,5,4,2,7,8,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [1,8,3,2,6,4,5,7]=>[7,5,4,6,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [5,3,8,7,4,6,1,2]=>[2,1,6,4,7,8,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [3,8,6,4,7,5,1,2]=>[2,1,5,7,4,6,8,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [1,2,6,3,7,5,4,8]=>[8,4,5,7,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,4,8,6,5,1,2]=>[2,1,5,6,8,4,7,3]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [1,8,2,7,6,4,5,3]=>[3,5,4,6,7,2,8,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [2,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>3 [2,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>3 [7,1,6,3,2,5,4,8]=>[8,4,5,2,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,6,3,1,5,8,4]=>[4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,8,4,3,6,5,2,7]=>[7,2,5,6,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,4,2,1,6,5,3,8]=>[8,3,5,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,1,3,5,2,6,8]=>[8,6,2,5,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,1,2,4,6,5,8]=>[8,5,6,4,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,7,4,2,5,3]=>[3,5,2,4,7,6,8,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [3,6,2,1,4,8,5,7]=>[7,5,8,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,7,1,5,2,8,6]=>[6,8,2,5,1,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,6,7,4,1,5,8,2]=>[2,8,5,1,4,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,2,7,1,5,8,6]=>[6,8,5,1,7,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,8,6,5,4,7]=>[7,4,5,6,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,8,7,4,3,1,2]=>[2,1,3,4,7,8,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>2 [1,8,2,7,4,3,6,5]=>[5,6,3,4,7,2,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [6,5,8,2,3,7,1,4]=>[4,1,7,3,2,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,7,8,6,1,3,2,4]=>[4,2,3,1,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [2,4,8,1,6,3,7,5]=>[5,7,3,6,1,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,3,2,6,4,8,1,7]=>[7,1,8,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,8,5,3,2,7,6,4]=>[4,6,7,2,3,5,8,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,1,2,7,6,5,8,3]=>[3,8,5,6,7,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,8,4,3,6,2,7,5]=>[5,7,2,6,3,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,6,7,3,2,8,1,4]=>[4,1,8,2,3,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,3,2,1,4,8,6,7]=>[7,6,8,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,6,1,3,8,5,4,2]=>[2,4,5,8,3,1,6,7]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [3,6,7,8,1,4,5,2]=>[2,5,4,1,8,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [2,3,6,8,5,1,4,7]=>[7,4,1,5,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,6,4,8,2,5,7]=>[7,5,2,8,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,2,6,8,5,1,4]=>[4,1,5,8,6,2,3,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,3,5,8,4,6,1,2]=>[2,1,6,4,8,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,8,4,2,3,5,7,6]=>[6,7,5,3,2,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,3,4,8,2,5,7,1]=>[1,7,5,2,8,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [7,5,4,8,3,6,2,1]=>[1,2,6,3,8,4,5,7]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [8,4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [7,4,6,3,8,5,1,2]=>[2,1,5,8,3,6,4,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [2,5,6,8,3,4,1,7]=>[7,1,4,3,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4,8]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,2,2,1]=>1 [2,5,6,8,4,3,1,7]=>[7,1,3,4,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,7,8,4,1,3,6]=>[6,3,1,4,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,5,6,8,2,4,1,3]=>[3,1,4,2,8,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [4,3,2,6,8,5,1,7]=>[7,1,5,8,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,6,8,2,4,1,7]=>[7,1,4,2,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,6,8,4,2,1,7]=>[7,1,2,4,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,7,8,2,1,4,6]=>[6,4,1,2,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,5,7,8,3,1,4,2]=>[2,4,1,3,8,7,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [2,5,7,8,3,1,4,6]=>[6,4,1,3,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,4,7,3,8,1,5,6]=>[6,5,1,8,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,4,7,3,8,1,5,2]=>[2,5,1,8,3,7,4,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,3,2,5,4,8,1,7]=>[7,1,8,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,4,5,2,3,8,1,7]=>[7,1,8,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,3,8,2,1,7]=>[7,1,2,8,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,7,3,8,1,6,2]=>[2,6,1,8,3,7,4,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [2,5,7,8,3,1,6,4]=>[4,6,1,3,8,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [4,5,7,8,3,1,2,6]=>[6,2,1,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,4,6,2,8,3,1,7]=>[7,1,3,8,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,2,6,8,4,1,7]=>[7,1,4,8,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,7,2,8,1,3,6]=>[6,3,1,8,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,5,7,8,2,1,3,6]=>[6,3,1,2,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,6,7,8,1,3,5,4]=>[4,5,3,1,8,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [4,6,7,8,1,5,2,3]=>[3,2,5,1,8,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [4,6,7,8,1,2,5,3]=>[3,5,2,1,8,7,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [4,3,2,7,8,1,6,5]=>[5,6,1,8,7,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,6,7,8,1,2,5,4]=>[4,5,2,1,8,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [3,6,7,8,1,5,2,4]=>[4,2,5,1,8,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,6,7,8,1,5,4,3]=>[3,4,5,1,8,7,6,2]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [3,4,5,6,7,8,9,1,2,10]=>[10,2,1,9,8,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,4,5,6,7,8,1,3,9]=>[9,3,1,8,7,6,5,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,4,5,6,7,1,8,2,9]=>[9,2,8,1,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,3,5,6,7,8,9,2,4]=>[4,2,9,8,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5]=>4 [1,4,5,6,7,8,2,9,3]=>[3,9,2,8,7,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [1,4,5,6,7,8,9,10,2,3]=>[3,2,10,9,8,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,7]=>3 [4,2,7,1,5,3,8,6]=>[6,8,3,5,1,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,8,6,1,5,3,7]=>[7,3,5,1,6,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,6,7,5,1,4,8]=>[8,4,1,5,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,3,5,4,8,6]=>[6,8,4,5,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,7,2,1,5,8,6,3]=>[3,6,8,5,1,2,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,2,1,3,5,8,6,4]=>[4,6,8,5,3,1,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,3,6,4,7,1,5,8]=>[8,5,1,7,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,8,2,7,5,6]=>[6,5,7,2,8,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,1,4,8,2,6,7,5]=>[5,7,6,2,8,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [8,3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,8,6,2,1,5,7,3]=>[3,7,5,1,2,6,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,8,3,6,5,1,7,2]=>[2,7,1,5,6,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,4,7,3,5,1,8,2]=>[2,8,1,5,3,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,7,5,1,8,2,3]=>[3,2,8,1,5,7,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,6,1,7,5,8,2,4]=>[4,2,8,5,7,1,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,3,5,1,6,8,2,4]=>[4,2,8,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,7,3,5,6,1,8,2]=>[2,8,1,6,5,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,6,8,5,1,7,2]=>[2,7,1,5,8,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,6,8,2,1,5,7,3]=>[3,7,5,1,2,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,8,2,1,3,5,7,4]=>[4,7,5,3,1,2,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,8,2,3,5,7,4,6]=>[6,4,7,5,3,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,7,3,6,1,4,5,8]=>[8,5,4,1,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,3,5,8,4,7]=>[7,4,8,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,3,2,5,6,1,4,8]=>[8,4,1,6,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,2,6,1,3,8]=>[8,3,1,6,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,8,1,5,3,7]=>[7,3,5,1,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [4,5,6,2,7,1,3,8]=>[8,3,1,7,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,6,2,7,4,8,3,5]=>[5,3,8,4,7,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,2,1,7,8,5,3,4]=>[4,3,5,8,7,1,2,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,7,3,8,4,1,5,2]=>[2,5,1,4,8,3,7,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [2,7,8,4,1,5,6,3]=>[3,6,5,1,4,8,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [2,7,1,8,5,6,3,4]=>[4,3,6,5,8,1,7,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,8,4,5,6,1,7,2]=>[2,7,1,6,5,4,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,5,8,3,6,7,1,2]=>[2,1,7,6,3,8,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,5,8,3,7,6,1,2]=>[2,1,6,7,3,8,5,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,2,8,3,7,1,6,5]=>[5,6,1,7,3,8,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [7,2,3,4,8,1,6,5]=>[5,6,1,8,4,3,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,2,3,4,8,1,5,6]=>[6,5,1,8,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,6,3,4,8,5,1,2]=>[2,1,5,8,4,3,6,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,6,3,5,8,4,1,2]=>[2,1,4,8,5,3,6,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,6,3,8,4,5,1,2]=>[2,1,5,4,8,3,6,7]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [7,2,3,8,5,1,4,6]=>[6,4,1,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,6,4,8,1,5,7,3]=>[3,7,5,1,8,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,2,3,8,4,1,5,6]=>[6,5,1,4,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,3,5,8,1,4,6]=>[6,4,1,8,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,8,2,3,6,1,4,5]=>[5,4,1,6,3,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,2,3,6,1,5,4]=>[4,5,1,6,3,2,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,2,3,5,8,1,6,4]=>[4,6,1,8,5,3,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,6,4,8,1,3,7,5]=>[5,7,3,1,8,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,6,5,1,2,3,8,4]=>[4,8,3,2,1,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,6,4,5,1,8,7,3]=>[3,7,8,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [7,8,5,4,1,2,6,3]=>[3,6,2,1,4,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [3,5,6,4,1,2,8,7]=>[7,8,2,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,6,5,1,2,4,3,8]=>[8,3,4,2,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,1,2,4,8,3]=>[3,8,4,2,1,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,6,5,1,3,2,8,4]=>[4,8,2,3,1,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,6,5,1,3,2,4,8]=>[8,4,2,3,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,4,3,1,5,8,7]=>[7,8,5,1,3,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,3,1,8,7,5]=>[5,7,8,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,2,8,3,6,1,7,5]=>[5,7,1,6,3,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,5,8,4,1,6,7,2]=>[2,7,6,1,4,8,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,5,8,4,1,7,3,6]=>[6,3,7,1,4,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,6,4,2,1,7,8,5]=>[5,8,7,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,4,2,1,7,5,8]=>[8,5,7,1,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,1,4,3,8,2]=>[2,8,3,4,1,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,5,1,2,8,4,3]=>[3,4,8,2,1,5,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [7,6,5,1,2,8,3,4]=>[4,3,8,2,1,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,6,5,1,8,2,4,3]=>[3,4,2,8,1,5,6,7]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [7,6,5,1,8,2,3,4]=>[4,3,2,8,1,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,6,5,1,8,3,2,4]=>[4,2,3,8,1,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,6,5,1,4,8,2,3]=>[3,2,8,4,1,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,6,4,5,1,7,2,8]=>[8,2,7,1,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,4,1,7,8,3]=>[3,8,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,8,5,4,1,6,3,2]=>[2,3,6,1,4,5,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,2]=>2 [2,5,6,4,1,7,3,8]=>[8,3,7,1,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,1,4,8,3,2]=>[2,3,8,4,1,5,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [7,6,5,1,8,3,4,2]=>[2,4,3,8,1,5,6,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,6,5,1,8,4,2,3]=>[3,2,4,8,1,5,6,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [7,8,6,2,1,3,5,4]=>[4,5,3,1,2,6,8,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [2,6,5,3,1,4,8,7]=>[7,8,4,1,3,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,6,1,4,2,5,8,7]=>[7,8,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7,8]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [6,1,3,4,2,8,7,5]=>[5,7,8,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,7,8,5,1,6,3,2]=>[2,3,6,1,5,8,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [8,2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [4,8,6,1,7,3,2,5]=>[5,2,3,7,1,6,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,5,1,7,2,4,6]=>[6,4,2,7,1,5,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,7,1,3,2,4,5]=>[5,4,2,3,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [2,5,1,8,7,4,6,3]=>[3,6,4,7,8,1,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [3,7,1,8,4,5,6,2]=>[2,6,5,4,8,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [6,2,3,8,4,7,5,1]=>[1,5,7,4,8,3,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [8,6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [7,4,2,1,8,6,5,3]=>[3,5,6,8,1,2,4,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [4,6,7,2,5,8,3,1]=>[1,3,8,5,2,7,6,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [7,6,2,5,3,8,1,4]=>[4,1,8,3,5,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,2,1,3,4,8,7,5]=>[5,7,8,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [6,5,4,2,8,3,1,7]=>[7,1,3,8,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,3,1,8,7,2,6]=>[6,2,7,8,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,1,4,3,8,5,2,7]=>[7,2,5,8,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,5,1,7,8,3,2]=>[2,3,8,7,1,5,4,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,2,3,1,7,8,6,5]=>[5,6,8,7,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,4,2,1,8,6,7,5]=>[5,7,6,8,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,7,6,8,1,5,3,4]=>[4,3,5,1,8,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,4,5,8,3,1,2,7]=>[7,2,1,3,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,6,8,1,5,2,4,7]=>[7,4,2,5,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,8,5,7,4,2,1]=>[1,2,4,7,5,8,3,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,2,3,1]=>1 [7,4,6,8,5,1,2,3]=>[3,2,1,5,8,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [2,1,6,8,3,7,5,4]=>[4,5,7,3,8,6,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [3,6,8,2,4,1,5,7]=>[7,5,1,4,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,8,1,7,5,4,3]=>[3,4,5,7,1,8,2,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,1,2,1]=>3 [2,6,5,4,8,1,3,7]=>[7,3,1,8,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,3,4,8,1,7,2]=>[2,7,1,8,4,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,1,8,2,6,4,3,7]=>[7,3,4,6,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,4,8,6,2,1,3,5]=>[5,3,1,2,6,8,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [4,6,2,8,3,7,5,1]=>[1,5,7,3,8,2,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [2,1,5,8,3,6,4,7]=>[7,4,6,3,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,8,5,6,4,1,3,2]=>[2,3,1,4,6,5,8,7]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>2 [3,8,1,4,5,6,2,7]=>[7,2,6,5,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,9,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,9,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,2,1]=>2 [7,6,8,3,5,1,4,2]=>[2,4,1,5,3,8,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [8,9,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,9,8]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,2,2,2]=>2 [8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,2,2,2]=>1 [9,10,7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7,10,9]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2,2]=>2 [9,10,7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7,10,9]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2,2]=>2 [9,10,7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7,10,9]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2,2]=>2 [9,7,10,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,10,7,9]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2,2]=>2 [7,8,6,3,5,1,4,2]=>[2,4,1,5,3,6,8,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>2 [5,3,8,7,6,1,4,2]=>[2,4,1,6,7,8,3,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [6,5,8,4,7,1,3,2]=>[2,3,1,7,4,8,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>2 [7,6,4,8,3,1,5,2]=>[2,5,1,3,8,4,6,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [7,4,2,5,6,3,1,8]=>[8,1,3,6,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,5,6,2,1,8]=>[8,1,2,6,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,5,6,2,1,8]=>[8,1,2,6,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,5,6,4,1,8]=>[8,1,4,6,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,3,5,6,1,4,2]=>[2,4,1,6,5,3,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [1,6,8,5,2,7,4,3]=>[3,4,7,2,5,8,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [6,2,8,5,1,7,4,3]=>[3,4,7,1,5,8,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [6,7,4,8,2,1,5,3]=>[3,5,1,2,8,4,7,6]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [3,2,7,8,6,1,5,4]=>[4,5,1,6,8,7,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [3,8,1,5,2,7,6,4]=>[4,6,7,2,5,1,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,1,5,3,6,7,8,2]=>[2,8,7,6,3,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,4,6,3,2,8,5]=>[5,8,2,3,6,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,6,4,1,7,8,5]=>[5,8,7,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,6,4,3,1,2,8,5]=>[5,8,2,1,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,5,2,1,6,7,8,4]=>[4,8,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,3,1,6,7,8,4]=>[4,8,7,6,1,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,3,2,6,7,8,4]=>[4,8,7,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,4,6,1,2,8,3]=>[3,8,2,1,6,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,8,7,6,1,4,5]=>[5,4,1,6,7,8,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [6,8,4,7,2,1,3,5]=>[5,3,1,2,7,4,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [3,8,7,5,6,1,2,4]=>[4,2,1,6,5,7,8,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [7,6,4,2,1,5,8,3]=>[3,8,5,1,2,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,4,6,1,3,8,2]=>[2,8,3,1,6,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,2,4,3,7,1,8,6]=>[6,8,1,7,3,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,7,4,1,5,3,8,2]=>[2,8,3,5,1,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,4,1,2,6,8,3]=>[3,8,6,2,1,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,8,1,6,5,4,7]=>[7,4,5,6,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,6,1,5,7,8,4]=>[4,8,7,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,1,4,6,7,8,3]=>[3,8,7,6,4,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,1,3,6,7,8,2]=>[2,8,7,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,5,4,1,3,2,8,6]=>[6,8,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,5,1,4,7,8,6]=>[6,8,7,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,4,3,5,2,8,6]=>[6,8,2,5,3,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [5,1,3,4,6,7,8,2]=>[2,8,7,6,4,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,1,8,2,5,7,4,6]=>[6,4,7,5,2,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,8,1,6,4,3,7,5]=>[5,7,3,4,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,6,1,3,8,7,5,4]=>[4,5,7,8,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [2,5,7,1,3,8,6,4]=>[4,6,8,3,1,7,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,6,8,1,5,7,4,3]=>[3,4,7,5,1,8,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [2,7,1,5,8,4,6,3]=>[3,6,4,8,5,1,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,7,1,6,4,8,3,5]=>[5,3,8,4,6,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,1,6,5,3,8,4]=>[4,8,3,5,6,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1]=>3 [8,3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3,8]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [4,1,8,7,3,2,6,5]=>[5,6,2,3,7,8,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [4,1,7,2,8,6,5,3]=>[3,5,6,8,2,7,1,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [3,7,1,8,6,5,4,2]=>[2,4,5,6,8,1,7,3]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,1,2]=>2 [3,7,6,1,4,2,5,8]=>[8,5,2,4,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,1,4,6,8,2]=>[2,8,6,4,1,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,8,5,1,4,7,2]=>[2,7,4,1,5,8,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [7,3,5,8,2,1,4,6]=>[6,4,1,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,3,6,2,1,4,5,8]=>[8,5,4,1,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,2,1,5,4,8]=>[8,4,5,1,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,8,1,6,5,3]=>[3,5,6,1,8,2,4,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [8,7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [7,5,2,6,3,1,4,8]=>[8,4,1,3,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,6,2,1,8,3,5]=>[5,3,8,1,2,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,8,4,5,2,1,7,3]=>[3,7,1,2,5,4,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,6,8,5,1,7,3,2]=>[2,3,7,1,5,8,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [4,7,5,1,3,8,6,2]=>[2,6,8,3,1,5,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,7,6,3,8,2,4]=>[4,2,8,3,6,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,1,7,6,4,2,8,3]=>[3,8,2,4,6,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,8,7,6,4,3,2]=>[2,3,4,6,7,8,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,1,2,1,1]=>2 [8,5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5,8]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,1,1]=>3 [8,5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,1,8,6,3,2,7,4]=>[4,7,2,3,6,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,6,1,7,4,8,2,5]=>[5,2,8,4,7,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,1,8,6,3,7,2,5]=>[5,2,7,3,6,8,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [3,4,6,8,5,7,1,2]=>[2,1,7,5,8,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,4,8,2,7,3,6,1]=>[1,6,3,7,2,8,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [5,4,8,7,3,6,1,2]=>[2,1,6,3,7,8,4,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [8,5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5,8]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,4,1,1]=>1 [6,4,3,8,7,1,2,5]=>[5,2,1,7,8,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [6,3,7,2,4,8,1,5]=>[5,1,8,4,2,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,6,8,4,2,7,3,1]=>[1,3,7,2,4,8,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [5,7,4,2,8,1,3,6]=>[6,3,1,8,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,5,2,7,1,3,8,4]=>[4,8,3,1,7,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [6,4,7,3,1,8,2,5]=>[5,2,8,1,3,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,7,4,3,8,6,1,2]=>[2,1,6,8,3,4,7,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,7]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,3,2]=>1 [7,6,4,8,3,5,2,1]=>[1,2,5,3,8,4,6,7]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [7,6,5,3,8,2,4,1]=>[1,4,2,8,3,5,6,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1]=>7 [6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1]=>6 [5,4,3,2,1,8,7,6,9]=>[9,6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,2,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,1,4,3,6,5,7,8,9]=>[9,8,7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,1,1]=>8 [6,5,4,3,2,1,9,8,7,10]=>[10,7,8,9,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,4,3,2,1,9,8,7,6,10]=>[10,6,7,8,9,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,4,3,2,1,8,7,6,10,9]=>[9,10,6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,3,2,1,7,6,5,10,9,8]=>[8,9,10,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,1,1]=>8 [3,2,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,1,4,3,6,5,8,7,9,10]=>[10,9,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,1,4,3,6,5,7,8,9,10]=>[10,9,8,7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,1,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,6,3,8,5,1,4,2]=>[2,4,1,5,8,3,6,7]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [4,2,7,6,5,3,1,8]=>[8,1,3,5,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,8,4,1,5,7,3]=>[3,7,5,1,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,2,7,8,5,1,6,4]=>[4,6,1,5,8,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,2,8,1,5,4,6,7]=>[7,6,4,5,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,4,8,5,2,6,7,3]=>[3,7,6,2,5,8,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,1,8,4,3,7,2,5]=>[5,2,7,3,4,8,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,7,1,4,2,5,8,6]=>[6,8,5,2,4,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,2,1,4,3,5,6,8]=>[8,6,5,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,3,6,8,2,7]=>[7,2,8,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,6,4,1,8,7,5]=>[5,7,8,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,6,4,3,1,8,2,5]=>[5,2,8,1,3,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,5,2,1,8,7,6,4]=>[4,6,7,8,1,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [8,6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [7,6,3,2,1,8,5,4]=>[4,5,8,1,2,3,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [5,2,3,4,7,1,8,6]=>[6,8,1,7,4,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [6,7,3,1,5,4,2,8]=>[8,2,4,5,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,3,1,2,4,7,6]=>[6,7,4,2,1,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [3,8,1,5,6,4,7,2]=>[2,7,4,6,5,1,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,2,8,1,6,5,7,4]=>[4,7,5,6,1,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,6,4,1,5,2,3,8]=>[8,3,2,5,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,4,6,7,2,8]=>[8,2,7,6,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,2,3,1,4,6,7]=>[7,6,4,1,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,1,3,2,5,7,6,8]=>[8,6,7,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [3,1,5,2,6,4,8,7,10,9]=>[9,10,7,8,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [3,1,5,2,7,4,8,6,10,9]=>[9,10,6,8,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [3,1,5,2,7,4,9,6,10,8]=>[8,10,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [6,8,2,4,5,1,3,7]=>[7,3,1,5,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,6,7,2,5,1,4,8]=>[8,4,1,5,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,7,3,1,5,2,8]=>[8,2,5,1,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,1,2,4,7,3,6]=>[6,3,7,4,2,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,1,3,5,2,7,4]=>[4,7,2,5,3,1,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,8,3,1,4,5,7,2]=>[2,7,5,4,1,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [7,5,1,8,2,3,6,4]=>[4,6,3,2,8,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,1,8,2,3,4,7,5]=>[5,7,4,3,2,8,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,3,8,4,2,6,7,1]=>[1,7,6,2,4,8,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,1,8,4,6,3,7,2]=>[2,7,3,6,4,8,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,1,8,3,5,7,2,6]=>[6,2,7,5,3,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,4,7,2,6,1,8,5]=>[5,8,1,6,2,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,5,7,3,2,6,8,1]=>[1,8,6,2,3,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,7,2,3,6,8,1]=>[1,8,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,3,4,7,5,8,1]=>[1,8,5,7,4,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,4,2,7,5,8,1]=>[1,8,5,7,2,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,2,7,1,6,8,3]=>[3,8,6,1,7,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,4,1,6,5,8,2,7]=>[7,2,8,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,8,5,7,3,6]=>[6,3,7,5,8,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,1,4,8,6,2,7,3]=>[3,7,2,6,8,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,3,1,4,8,5,6,2]=>[2,6,5,8,4,1,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,6,3,1,7,4,2,8]=>[8,2,4,7,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,1,8,5,2,6]=>[6,2,5,8,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,4,2,8,7,1,5,3]=>[3,5,1,7,8,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [7,2,4,8,1,5,3,6]=>[6,3,5,1,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,6,3,7,5,1,4,8]=>[8,4,1,5,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,3,8,5,2,4,6]=>[6,4,2,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,5,3,7,8,2,4,6]=>[6,4,2,8,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,2,6,7,1,8,4,5]=>[5,4,8,1,7,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,6,3,1,7,8,5,2]=>[2,5,8,7,1,3,6,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,3,1,6,7,8,4,2]=>[2,4,8,7,6,1,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [4,1,6,2,7,8,5,3]=>[3,5,8,7,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,1,3,4,8,7,5,6]=>[6,5,7,8,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,5,6,7,8,9,1,2,3]=>[3,2,1,9,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,6]=>3 [4,5,6,7,8,9,2,3,1]=>[1,3,2,9,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,6]=>1 [5,6,7,8,9,1,2,3,4]=>[4,3,2,1,9,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5]=>4 [5,6,7,8,9,3,4,1,2]=>[2,1,4,3,9,8,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,2,5]=>2 [5,6,7,8,9,3,4,2,1]=>[1,2,4,3,9,8,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,2,5]=>1 [6,7,8,9,2,3,4,5,1]=>[1,5,4,3,2,9,8,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,4]=>1 [6,7,8,9,4,5,3,2,1]=>[1,2,3,5,4,9,8,7,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,2,4]=>1 [7,8,9,4,5,6,3,2,1]=>[1,2,3,6,5,4,9,8,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,3,3]=>1 [7,8,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,8,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,2,2,3]=>2 [7,8,9,5,6,4,3,2,1]=>[1,2,3,4,6,5,9,8,7]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,2,3]=>1 [8,9,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,9,8]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,1,2,2,2]=>1 [8,9,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,9,8]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,2,2]=>1 [4,5,6,7,8,9,10,1,2,3]=>[3,2,1,10,9,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,7]=>3 [4,5,6,7,8,9,10,2,3,1]=>[1,3,2,10,9,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,7]=>1 [5,6,7,8,9,10,1,2,3,4]=>[4,3,2,1,10,9,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,6]=>4 [7,8,9,10,3,4,5,6,1,2]=>[2,1,6,5,4,3,10,9,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,4]=>2 [7,8,9,10,3,4,5,6,2,1]=>[1,2,6,5,4,3,10,9,8,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,4,4]=>1 [7,8,9,10,4,5,6,1,2,3]=>[3,2,1,6,5,4,10,9,8,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,3,4]=>3 [8,9,10,5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5,10,9,8]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,2,3,3]=>2 [8,9,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,9,8]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,2,2,3]=>1 [9,10,7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7,10,9]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,2,2,2,2]=>1 [9,10,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,10,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,1,2,2]=>1 [4,8,3,7,6,5,1,2]=>[2,1,5,6,7,3,8,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>2 [6,3,8,7,5,4,1,2]=>[2,1,4,5,7,8,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>2 [5,3,8,7,6,4,1,2]=>[2,1,4,6,7,8,3,5]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>3 [5,2,8,7,6,1,4,3]=>[3,4,1,6,7,8,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [6,2,8,7,5,1,4,3]=>[3,4,1,5,7,8,2,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>3 [7,8,2,6,5,1,4,3]=>[3,4,1,5,6,2,8,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>3 [6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,1,2,1]=>2 [3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1,1]=>2 [7,8,2,6,1,5,4,3]=>[3,4,5,1,6,2,8,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>3 [6,2,8,7,1,5,4,3]=>[3,4,5,1,7,8,2,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>3 [4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,2,1,1,1]=>3 [4,8,2,7,6,1,5,3]=>[3,5,1,6,7,2,8,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [3,8,7,2,1,6,5,4]=>[4,5,6,1,2,7,8,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [6,5,8,7,1,4,3,2]=>[2,3,4,1,7,8,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>2 [4,8,1,7,6,5,3,2]=>[2,3,5,6,7,1,8,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,2,1,1,1]=>2 [5,4,1,8,7,6,3,2]=>[2,3,6,7,8,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,3,1,1]=>2 [6,4,8,1,7,5,3,2]=>[2,3,5,7,1,8,4,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,2,2,1]=>2 [7,8,4,1,6,5,3,2]=>[2,3,5,6,1,4,8,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,2,1,2]=>2 [7,8,3,1,6,5,4,2]=>[2,4,5,6,1,3,8,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[2,2,1,1,2]=>2 [6,3,8,1,7,5,4,2]=>[2,4,5,7,1,8,3,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,2,1,2,1]=>2 [5,3,1,8,7,6,4,2]=>[2,4,6,7,8,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,2,2,1,1]=>2 [7,8,2,1,6,5,4,3]=>[3,4,5,6,1,2,8,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,1,2]=>3 [6,5,3,1,8,7,4,2]=>[2,4,7,8,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [6,4,3,1,8,7,5,2]=>[2,5,7,8,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [5,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [7,5,2,1,8,6,4,3]=>[3,4,6,8,1,2,5,7]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [5,4,2,1,8,7,6,3]=>[3,6,7,8,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [7,3,2,1,8,6,5,4]=>[4,5,6,8,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [6,3,2,1,8,7,5,4]=>[4,5,7,8,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [9,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,9]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[2,2,2,2,2]=>2 [8,6,4,2,1,10,9,7,5,3]=>[3,5,7,9,10,1,2,4,6,8]=>[1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,2,2,2,1]=>3 [11,9,7,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,2,2,2,2,2]=>2 [8,6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,8,1,4,2,3,5,7]=>[7,5,3,2,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,3,8,1,4,5,7]=>[7,5,4,1,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,2,3,8,1,5,7]=>[7,5,1,8,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,8,2,3,6,1,5,7]=>[7,5,1,6,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,2,3,8,4,1,5,7]=>[7,5,1,4,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,6,4,3,8,1,5,7]=>[7,5,1,8,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,8,4,3,6,1,5,7]=>[7,5,1,6,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,6,3,8,4,1,5,7]=>[7,5,1,4,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,8,3,6,1,4,5,7]=>[7,5,4,1,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,4,3,8,1,5,7]=>[7,5,1,8,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,6,4,7,8,5,1,2]=>[2,1,5,8,7,4,6,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [1,6,4,2,7,5,8,3]=>[3,8,5,7,2,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,6,4,2,7,1,5,8]=>[8,5,1,7,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,7,2,5,6,8,3]=>[3,8,6,5,2,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,8,5,3,7,1,2]=>[2,1,7,3,5,8,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,6,5,4,2,7,8,3]=>[3,8,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,5,3,6,1,7,8]=>[8,7,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,5,3,6,2,8,4]=>[4,8,2,6,3,5,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,5,2,4,8,7,3]=>[3,7,8,4,2,5,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,4,6,2,8,5,7,3]=>[3,7,5,8,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,8,1,4,2,5,6,3]=>[3,6,5,2,4,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [3,4,8,5,2,1,6,7]=>[7,6,1,2,5,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,8,5,3,1,6,2,7]=>[7,2,6,1,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,3,5,8,2,7,4]=>[4,7,2,8,5,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,1,8,7,4,2,3,5]=>[5,3,2,4,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [1,2,8,5,7,3,6,4]=>[4,6,3,7,5,8,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [1,3,6,8,7,5,2,4]=>[4,2,5,7,8,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [1,8,2,5,4,7,6,3]=>[3,6,7,4,5,2,8,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [7,1,2,4,5,8,6,3]=>[3,6,8,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,2,7,3,5,8,6,4]=>[4,6,8,5,3,7,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,1,3,2,5,7,8,4]=>[4,8,7,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,6,2,1,7,5,3,8]=>[8,3,5,7,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,7,8,5,2,4]=>[4,2,5,8,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,6,2,3,7,8,1,5]=>[5,1,8,7,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,6,3,7,1,2,8,5]=>[5,8,2,1,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,1,3,5,7,8,6]=>[6,8,7,5,3,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,3,2,4,5,1,8,6]=>[6,8,1,5,4,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,8,2,5,4,1,7,6]=>[6,7,1,4,5,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,8,4,2,6,3,1,5]=>[5,1,3,6,2,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [4,2,6,3,8,7,1,5]=>[5,1,7,8,3,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,8,2,7,4,3,1,6]=>[6,1,3,4,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,3,8,5,1,7,2,6]=>[6,2,7,1,5,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,6,8,1,2,7,5]=>[5,7,2,1,8,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,3,5,2,8,1,7]=>[7,1,8,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,3,8,4,2,1,7]=>[7,1,2,4,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,1,7,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,1,7,2,8,9,3,4,10,5]=>[5,10,4,3,9,8,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,1,7,8,2,3,9,4,10,5]=>[5,10,4,9,3,2,8,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,1,7,8,2,9,3,4,10,5]=>[5,10,4,3,9,2,8,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,1,7,8,9,2,3,4,10,5]=>[5,10,4,3,2,9,8,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,1,7,8,9,10,2,3,4,5]=>[5,4,3,2,10,9,8,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,5]=>5 [6,7,1,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,7,1,2,8,9,3,4,10,5]=>[5,10,4,3,9,8,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,7,1,8,2,3,9,4,10,5]=>[5,10,4,9,3,2,8,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,7,1,8,2,9,3,4,10,5]=>[5,10,4,3,9,2,8,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,7,1,8,9,2,3,4,10,5]=>[5,10,4,3,2,9,8,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,7,1,8,9,10,2,3,4,5]=>[5,4,3,2,10,9,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,5]=>5 [6,7,8,1,2,3,9,4,10,5]=>[5,10,4,9,3,2,1,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,7,8,1,2,9,3,4,10,5]=>[5,10,4,3,9,2,1,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,7,8,1,9,2,3,4,10,5]=>[5,10,4,3,2,9,1,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,7,8,1,9,10,2,3,4,5]=>[5,4,3,2,10,9,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,5]=>5 [6,7,8,9,1,2,3,4,10,5]=>[5,10,4,3,2,1,9,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [6,7,8,9,1,10,2,3,4,5]=>[5,4,3,2,10,1,9,8,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,5]=>5 [3,8,1,7,5,6,4,2]=>[2,4,6,5,7,1,8,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [8,2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2,8]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>2 [8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,3,1,2,1]=>1 [1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [5,4,8,6,2,3,7,1]=>[1,7,3,2,6,8,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,7,6,1,3,5,4,8]=>[8,4,5,3,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,8,2,5,7,3]=>[3,7,5,2,8,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,8,6,1,3,5,4,7]=>[7,4,5,3,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,4,1,3,8,5,7,6]=>[6,7,5,8,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,4,1,3,5,8,7,6]=>[6,7,8,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [6,2,1,3,5,8,7,4]=>[4,7,8,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [4,2,1,3,6,5,7,8]=>[8,7,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,6,3,5,7,8]=>[8,7,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,8,3,5,7,4]=>[4,7,5,3,8,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,2,1,3,8,5,7,4]=>[4,7,5,8,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,1,4,3,8,5,7,2]=>[2,7,5,8,3,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [8,1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,2,1,4,3,5,7,8]=>[8,7,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [1,8,4,6,3,5,7,2]=>[2,7,5,3,6,4,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,4,1,8,3,5,7,2]=>[2,7,5,3,8,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,4,8,1,3,5,7,2]=>[2,7,5,3,1,8,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,6,8,1,3,5,7,4]=>[4,7,5,3,1,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,6,8,1,3,5,7,2]=>[2,7,5,3,1,8,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,4,6,3,8,5,7,2]=>[2,7,5,8,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,4,3,6,8,5,7,2]=>[2,7,5,8,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,1,3,8,6,5,7,2]=>[2,7,5,6,8,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,1,8,3,6,5,7,4]=>[4,7,5,6,3,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,6,1,4,3,5,7,8]=>[8,7,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,8,3,6,5,7,2]=>[2,7,5,6,3,8,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,1,8,6,3,5,7,2]=>[2,7,5,3,6,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,6,4,1,3,5,7,8]=>[8,7,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,1,3,5,7,8]=>[8,7,5,3,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,8,4,3,5,7,2]=>[2,7,5,3,4,8,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [7,8,6,5,2,1,4,3]=>[3,4,1,2,5,6,8,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>3 [5,7,4,1,8,6,3,2]=>[2,3,6,8,1,4,7,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [5,6,4,2,8,3,7,1]=>[1,7,3,8,2,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,6,4,2,7,3,1,8]=>[8,1,3,7,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,4,6,3,2,8]=>[8,2,3,6,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,1,4,6,3,7,2]=>[2,7,3,6,4,1,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,6,7,4,5,8,2,1]=>[1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,5,7,4,6,8,2,1]=>[1,2,8,6,4,7,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,8,4,1,7,2,5,3]=>[3,5,2,7,1,4,8,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [5,4,6,1,7,8,3,2]=>[2,3,8,7,1,6,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,6,4,1,8,7,3,2]=>[2,3,7,8,1,4,6,5]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [3,5,8,4,6,7,2,1]=>[1,2,7,6,4,8,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [3,6,8,4,5,7,2,1]=>[1,2,7,5,4,8,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [3,7,8,4,5,6,2,1]=>[1,2,6,5,4,8,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [6,8,1,4,5,3,7,2]=>[2,7,3,5,4,1,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,7,1,4,5,3,2,8]=>[8,2,3,5,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,5,4,6,2,8]=>[8,2,6,4,5,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,1,5,4,6,7,2]=>[2,7,6,4,5,1,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,7,1,5,4,6,8,2]=>[2,8,6,4,5,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,1,4,5,3,8,2]=>[2,8,3,5,4,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,1,4,6,3,8,2]=>[2,8,3,6,4,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,6,4,2,7,3,8,1]=>[1,8,3,7,2,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,7,2,8,3,1,6]=>[6,1,3,8,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,4,7,2,8,3,6,1]=>[1,6,3,8,2,7,4,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,6,4,2,8,3,1,7]=>[7,1,3,8,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,8,1,4,6,3,2,7]=>[7,2,3,6,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,1,5,4,6,2,7]=>[7,2,6,4,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,6,1,5,4,2,7,8]=>[8,7,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,5,4,8,2,7]=>[7,2,8,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,8,3,1,4,2,5,7]=>[7,5,2,4,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,3,8,1,4,2,5,6]=>[6,5,2,4,1,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,7,3,1,4,2,8,5]=>[5,8,2,4,1,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,1,5,4,7,8,2]=>[2,8,7,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,1,2,7,6,5,8]=>[8,5,6,7,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,2,6,8,7,5]=>[5,7,8,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [6,8,3,1,4,7,2,5]=>[5,2,7,4,1,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,4,7,2,8,5,1,3]=>[3,1,5,8,2,7,4,6]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,8,1,4,7,3,2,6]=>[6,2,3,7,4,1,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [7,8,1,4,5,3,2,6]=>[6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [3,8,1,5,4,7,2,6]=>[6,2,7,4,5,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,6,1,5,4,8,7,2]=>[2,7,8,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [3,6,1,5,4,7,2,8]=>[8,2,7,4,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,1,4,2,5,8]=>[8,5,2,4,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,3,1,4,2,7,5]=>[5,7,2,4,1,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [7,8,3,1,4,6,2,5]=>[5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,4,2,6,5,1,3]=>[3,1,5,6,2,4,8,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [6,5,8,7,3,4,2,1]=>[1,2,4,3,7,8,5,6]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,2,3,1]=>1 [7,8,3,1,4,6,5,2]=>[2,5,6,4,1,3,8,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [6,7,3,1,4,5,2,8]=>[8,2,5,4,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,5,4,2,6,8]=>[8,6,2,4,5,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,1,5,4,2,7,6]=>[6,7,2,4,5,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,1,4,7,3,6,2]=>[2,6,3,7,4,1,8,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [6,8,4,2,7,5,3,1]=>[1,3,5,7,2,4,8,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,2,2,1]=>1 [6,4,7,2,8,5,3,1]=>[1,3,5,8,2,7,4,6]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [6,3,7,1,4,8,5,2]=>[2,5,8,4,1,7,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [6,8,3,1,4,7,5,2]=>[2,5,7,4,1,3,8,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [3,7,1,5,4,8,6,2]=>[2,6,8,4,5,1,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,4,1,2,8,5,7,6]=>[6,7,5,8,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,4,1,2,5,8,7,6]=>[6,7,8,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,7,1,5,4,2,8,6]=>[6,8,2,4,5,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,7,3,1,4,5,8,2]=>[2,8,5,4,1,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,3,8,1,4,5,2,6]=>[6,2,5,4,1,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,3,8,1,4,5,6,2]=>[2,6,5,4,1,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [6,8,3,1,4,5,2,7]=>[7,2,5,4,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,1,5,4,2,6,7]=>[7,6,2,4,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>3 [9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [8,7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [8,7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,1,1]=>6 [8,5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1]=>7 [9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>2 [10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>3 [9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>3 [10,9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1,1]=>4 [9,8,7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7,8,9]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9,10]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1,1]=>5 [8,7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7,8]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [9,8,7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7,8,9]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [10,9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,1,1,1,1]=>6 [8,7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7,8]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [9,8,5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,1,1]=>6 [10,9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,1,1,1]=>7 [6,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [9,6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,1,1]=>7 [10,9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,1,1]=>8 [5,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [5,8,6,2,3,4,7,1]=>[1,7,4,3,2,6,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,5,2,7,3,1,8,6]=>[6,8,1,3,7,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,8,2,6,3,5,7,1]=>[1,7,5,3,6,2,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,3,7,8,6,5,1,2]=>[2,1,5,6,8,7,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [7,8,2,1,5,6,4,3]=>[3,4,6,5,1,2,8,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,1,2,2]=>3 [1,5,8,6,2,3,7,4]=>[4,7,3,2,6,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,4,8,3,1,6,5,7]=>[7,5,6,1,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,7,1,8,6,3,4]=>[4,3,6,8,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,6,1,3,8,7,4,5]=>[5,4,7,8,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,5,2,8,1,7,3,4]=>[4,3,7,1,8,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,8,3,5,1,7,4,6]=>[6,4,7,1,5,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,4,3,8,7,1,6,2]=>[2,6,1,7,8,3,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [8,5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3,8]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [2,8,6,5,1,7,4,3]=>[3,4,7,1,5,6,8,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [6,3,2,8,4,1,7,5]=>[5,7,1,4,8,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,8,3,4,1,7,5,6]=>[6,5,7,1,4,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,4,2,8,3,1,7,6]=>[6,7,1,3,8,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,8,5,3,1,7,6,4]=>[4,6,7,1,3,5,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [2,8,6,4,1,7,5,3]=>[3,5,7,1,4,6,8,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [8,4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4,8]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>1 [4,8,7,6,1,5,3,2]=>[2,3,5,1,6,7,8,4]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>2 [7,4,8,6,2,1,5,3]=>[3,5,1,2,6,8,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,3,8,5,2,1,6,4]=>[4,6,1,2,5,8,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,3,8,4,2,1,6,5]=>[5,6,1,2,4,8,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,5,4,3,8,2,1,6]=>[6,1,2,8,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,8,4,1,2,6,5]=>[5,6,2,1,4,8,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [3,7,8,5,1,2,6,4]=>[4,6,2,1,5,8,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [4,7,8,6,1,2,5,3]=>[3,5,2,1,6,8,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [8,7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7,8]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,3,1,1,1]=>1 [5,7,8,6,1,2,4,3]=>[3,4,2,1,6,8,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [6,4,7,8,3,1,2,5]=>[5,2,1,3,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,3,4,8,2,1,5,6]=>[6,5,1,2,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,6,4,8,3,2,1,5]=>[5,1,2,3,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,5,8,6,2,1,4,3]=>[3,4,1,2,6,8,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [6,5,8,7,3,1,4,2]=>[2,4,1,3,7,8,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>2 [2,3,8,5,1,6,7,4]=>[4,7,6,1,5,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,4,8,7,3,1,5,2]=>[2,5,1,3,7,8,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [8,6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6,8]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,4,2,1]=>1 [8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [3,4,8,7,1,5,6,2]=>[2,6,5,1,7,8,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [2,4,8,6,1,5,7,3]=>[3,7,5,1,6,8,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,5,8,6,1,4,7,3]=>[3,7,4,1,6,8,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [8,3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [8,4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4,8]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,4,2,1]=>1 [4,6,8,7,1,3,5,2]=>[2,5,3,1,7,8,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [2,6,8,5,1,3,7,4]=>[4,7,3,1,5,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,6,8,4,1,3,7,5]=>[5,7,3,1,4,8,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,6,8,7,1,3,4,2]=>[2,4,3,1,7,8,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>2 [7,4,6,8,2,1,3,5]=>[5,3,1,2,8,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [2,3,6,4,8,1,5,7]=>[7,5,1,8,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,6,1,4,7,8,3]=>[3,8,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,5,6,1,4,7,3,8]=>[8,3,7,4,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,6,1,8,5,4,3]=>[3,4,5,8,1,6,7,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [1,8,7,6,3,2,5,4]=>[4,5,2,3,6,7,8,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [1,8,7,6,3,2,4,5]=>[5,4,2,3,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,7,8,6,2,3,4,1]=>[1,4,3,2,6,8,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,2]=>1 [7,3,5,8,4,1,2,6]=>[6,2,1,4,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,8,4,5,2,7,3,6]=>[6,3,7,2,5,4,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,3,5,8,4,1,6,2]=>[2,6,1,4,8,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [6,3,5,4,7,1,8,2]=>[2,8,1,7,4,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,3,1,8,6,4,7,5]=>[5,7,4,6,8,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,8,4,3,6,2,5,7]=>[7,5,2,6,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,3,5,4,7,2,1,8]=>[8,1,2,7,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,4,6,8,2,1]=>[1,2,8,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [2,7,6,4,8,5,3,1]=>[1,3,5,8,4,6,7,2]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [1,8,4,5,2,6,3,7]=>[7,3,6,2,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,8,5,3,1,2,7]=>[7,2,1,3,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,5,8,4,2,7,1]=>[1,7,2,4,8,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [7,4,8,5,3,2,1,6]=>[6,1,2,3,5,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,4,8,5,3,2,6,1]=>[1,6,2,3,5,8,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [5,2,4,6,8,3,7,1]=>[1,7,3,8,6,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [1,5,7,4,6,3,2,8]=>[8,2,3,6,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,8,4,6,3,7,1]=>[1,7,3,6,4,8,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,8,5,4,6,7,2,1]=>[1,2,7,6,4,5,8,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [6,8,3,4,5,7,2,1]=>[1,2,7,5,4,3,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [2,5,7,4,6,3,8,1]=>[1,8,3,6,4,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,1,7,8,3,2,6]=>[6,2,3,8,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,4,2,7,8,3,6,1]=>[1,6,3,8,7,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,1,4,6,8,3,2,7]=>[7,2,3,8,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,8,4,6,3,2,7]=>[7,2,3,6,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7,8]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [8,2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [1,7,6,3,4,5,2,8]=>[8,2,5,4,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,5,4,3,6,8]=>[8,6,3,4,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [5,8,2,4,7,3,6,1]=>[1,6,3,7,4,2,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [6,8,3,2,4,7,5,1]=>[1,5,7,4,2,3,8,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [8,7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,2,8,6,1,5,4,7]=>[7,4,5,1,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [5,3,6,2,4,8,7,1]=>[1,7,8,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,5,2,8,6,1,4,7]=>[7,4,1,6,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,7,2,5,1,4,8,6]=>[6,8,4,1,5,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,6,1,8,2,5,4]=>[4,5,2,8,1,6,7,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [8,2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,5,4,1,3,8,2,6]=>[6,2,8,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,5,8,3,4,1,6]=>[6,1,4,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,3,6,1,4,8,5]=>[5,8,4,1,6,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,2,3,5,8,4,6]=>[6,4,8,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,1,2,3,5,8,4,6]=>[6,4,8,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [2,3,1,8,5,4,6,7]=>[7,6,4,5,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5,8]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>2 [3,5,2,6,7,1,8,4]=>[4,8,1,7,6,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,2,8,3,4,7,5]=>[5,7,4,3,8,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,7,2,5,6,1,8,4]=>[4,8,1,6,5,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,5,3,8,4,1,6]=>[6,1,4,8,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,8,3,2,5,7,4,6]=>[6,4,7,5,2,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,5,1,7,4,2,8,3]=>[3,8,2,4,7,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,1,7,3,5,2,8]=>[8,2,5,3,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,3,4,2,8,5]=>[5,8,2,4,3,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,8,1,6,5,2,4]=>[4,2,5,6,1,8,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3,8]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [5,1,7,4,2,8,6,3]=>[3,6,8,2,4,7,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [2,8,1,7,6,5,3,4]=>[4,3,5,6,7,1,8,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [4,2,8,6,5,1,7,3]=>[3,7,1,5,6,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,4,2,8,5,1,7,3]=>[3,7,1,5,8,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [7,6,4,8,1,5,2,3]=>[3,2,5,1,8,4,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [5,1,6,4,2,3,8,7]=>[7,8,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,3,8,7,5,1,6]=>[6,1,5,7,8,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,8,7,1,6,5,2,4]=>[4,2,5,6,1,7,8,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [2,4,3,8,1,6,7,5]=>[5,7,6,1,8,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,3,7,1,6,8,5]=>[5,8,6,1,7,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,3,7,8,5,1,6]=>[6,1,5,8,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,1,6,4,2,3,7,8]=>[8,7,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,7,8,1,5,2,3]=>[3,2,5,1,8,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [8,7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7,8]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [6,5,7,8,1,4,2,3]=>[3,2,4,1,8,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [4,7,8,6,1,5,2,3]=>[3,2,5,1,6,8,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [3,2,4,7,8,1,5,6]=>[6,5,1,8,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,2,4,8,7,1,5,6]=>[6,5,1,7,8,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,8,7,6,1,5,2,3]=>[3,2,5,1,6,7,8,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [5,8,7,6,1,4,2,3]=>[3,2,4,1,6,7,8,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [8,6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6,8]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>3 [5,1,6,7,4,2,3,8]=>[8,3,2,4,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [8,4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4,8]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,3,2,4,8,1,5,6]=>[6,5,1,8,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,3,7,1,6,4,8]=>[8,4,6,1,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [7,4,6,8,1,5,2,3]=>[3,2,5,1,8,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [5,1,6,8,4,2,3,7]=>[7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,3,7,5,1,6,8]=>[8,6,1,5,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,8,1,6,2,4]=>[4,2,6,1,8,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,4,3,7,1,6,5,8]=>[8,5,6,1,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,1,5,8,6,3]=>[3,6,8,5,1,7,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,2,4,7,6,1,5,8]=>[8,5,1,6,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,8,1,5,2,3]=>[3,2,5,1,8,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [8,5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5,8]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>3 [8,6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6,8]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>3 [7,6,8,5,1,4,2,3]=>[3,2,4,1,5,8,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [6,8,7,5,1,4,2,3]=>[3,2,4,1,5,7,8,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>3 [5,6,8,7,1,4,2,3]=>[3,2,4,1,7,8,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [4,6,8,7,1,5,2,3]=>[3,2,5,1,7,8,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [2,4,6,7,1,5,8,3]=>[3,8,5,1,7,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,4,6,1,5,7,8]=>[8,7,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,8,5,1,4,2,3]=>[3,2,4,1,5,8,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [7,8,6,5,1,4,2,3]=>[3,2,4,1,5,6,8,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>3 [3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,8,5,4,6,3,7]=>[7,3,6,4,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,1,8,5,2,3,6,7]=>[7,6,3,2,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,1,3,6,7,2,8]=>[8,2,7,6,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,2,7,1,5,8,4,6]=>[6,4,8,5,1,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,3,7,1,5,4,2,8]=>[8,2,4,5,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,8,1,5,4,2,6]=>[6,2,4,5,1,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,5,1,3,6,8,2,7]=>[7,2,8,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,8,2,1,7,5,3,6]=>[6,3,5,7,1,2,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [7,1,3,2,8,6,4,5]=>[5,4,6,8,2,3,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [4,7,1,2,6,3,8,5]=>[5,8,3,6,2,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>2 [5,7,8,6,1,4,3,2]=>[2,3,4,1,6,8,7,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,1,2,2]=>2 [2,7,4,1,6,5,3,8]=>[8,3,5,6,1,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,8,7,1,4,3,2]=>[2,3,4,1,7,8,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>2 [6,8,5,7,1,4,3,2]=>[2,3,4,1,7,5,8,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>2 [8,6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6,8]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>2 [8,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,8]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>2 [6,5,7,8,1,4,3,2]=>[2,3,4,1,8,7,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [7,2,3,1,5,6,4,8]=>[8,4,6,5,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,8,1,6,5,3,7]=>[7,3,5,6,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,4,1,8,5,3,7]=>[7,3,5,8,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,5,1,6,3,4,8,2]=>[2,8,4,3,6,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,1,8,4,6,7,2]=>[2,7,6,4,8,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [8,3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,8,6,1,5,3,4,7]=>[7,4,3,5,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,2,1,5,6,3,8,7]=>[7,8,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,1,2,5,8,3,4,6]=>[6,4,3,8,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5,8]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>2 [7,6,8,5,1,4,3,2]=>[2,3,4,1,5,8,6,7]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>2 [6,8,7,5,1,4,3,2]=>[2,3,4,1,5,7,8,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>2 [3,5,1,7,4,6,8,2]=>[2,8,6,4,7,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,7,6,1,4,5,3,8]=>[8,3,5,4,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,8,1,4,3,2]=>[2,3,4,1,8,6,7,5]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [7,8,6,5,1,4,3,2]=>[2,3,4,1,5,6,8,7]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>2 [4,3,1,6,5,8,7,2]=>[2,7,8,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,3,1,2,4,8,7,6]=>[6,7,8,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,3,6,2,1,8,7,4]=>[4,7,8,1,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,3,7,2,1,4,6,8]=>[8,6,4,1,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,2,8,4,1,6]=>[6,1,4,8,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,2,4,5,1,3,6,8]=>[8,6,3,1,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,5,1,8,7,3]=>[3,7,8,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,6,4,5,2,8,7,3]=>[3,7,8,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [3,7,4,5,8,2,1,6]=>[6,1,2,8,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,7,4,2,6,3,5,8]=>[8,5,3,6,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,1,6,3,2,8]=>[8,2,3,6,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,4,8,6,3,2,5]=>[5,2,3,6,8,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,8,3,5,6,7,1,2]=>[2,1,7,6,5,3,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,8,4,3,6,1,2,7]=>[7,2,1,6,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,4,8,3,6,7,5,2]=>[2,5,7,6,3,8,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [4,3,8,2,1,7,5,6]=>[6,5,7,1,2,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,4,2,6,1,5,7]=>[7,5,1,6,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,2,5,6,7,4,3]=>[3,4,7,6,5,2,8,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [3,8,2,5,6,7,1,4]=>[4,1,7,6,5,2,8,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [4,3,1,8,5,7,6,2]=>[2,6,7,5,8,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [6,3,1,8,2,7,4,5]=>[5,4,7,2,8,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,3,5,8,2,7,1,4]=>[4,1,7,2,8,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [7,1,4,8,6,2,3,5]=>[5,3,2,6,8,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,5,4,1,6,2,3,8]=>[8,3,2,6,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,5,8,1,3,2]=>[2,3,1,8,5,4,6,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [1,6,4,5,8,2,3,7]=>[7,3,2,8,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,6,1,8,2,4,5]=>[5,4,2,8,1,6,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,7,6,5,8,3,4,2]=>[2,4,3,8,5,6,7,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [8,3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>2 [4,1,8,5,6,7,3,2]=>[2,3,7,6,5,8,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [1,2,8,5,6,7,3,4]=>[4,3,7,6,5,8,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,5,3,8,6,7,4,2]=>[2,4,7,6,8,3,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,3,5,8,1,7,2,6]=>[6,2,7,1,8,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,5,4,8,6,1,2,7]=>[7,2,1,6,8,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,8,5,6,7,1,2]=>[2,1,7,6,5,8,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,7,1,5,6,3,4,8]=>[8,4,3,6,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,4,3,6,5,8]=>[8,5,6,3,4,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,2,5,6,8,1]=>[1,8,6,5,2,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,3,1,4,5,8,7]=>[7,8,5,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,7,1,4,2,6,8,5]=>[5,8,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,1,5,6,2,8,4]=>[4,8,2,6,5,1,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,1,5,6,8,2,3]=>[3,2,8,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [8,4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,7,3,2,5,6,1,8]=>[8,1,6,5,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,6,2,8,1,7]=>[7,1,8,2,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,7,4,2,8,1,6]=>[6,1,8,2,4,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,4,7,2,3,8,1,5]=>[5,1,8,3,2,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,5,7,2,8,3,1,4]=>[4,1,3,8,2,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,3,7,2,4,8,6,1]=>[1,6,8,4,2,7,3,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,6,5,1,8,3,4,7]=>[7,4,3,8,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7,8]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,8]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7,8]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [5,7,3,4,2,1,8,6]=>[6,8,1,2,4,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,7,4,2,3,1,8,5]=>[5,8,1,3,2,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,5,3,1,2,8,4]=>[4,8,2,1,3,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,7,5,4,1,8,2,3]=>[3,2,8,1,4,5,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [10,3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [10,4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [5,10,1,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,1,10,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [10,6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [10,7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [8,10,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [2,11,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,11,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1]=>10 [2,3,10,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,10,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,1]=>9 [11,3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1]=>10 [4,3,1,10,2,5,6,7,8,9]=>[9,8,7,6,5,2,10,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[9,1]=>9 [11,4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1]=>10 [5,4,1,2,10,3,6,7,8,9]=>[9,8,7,6,3,10,2,1,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>9 [5,11,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,11,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1]=>10 [5,6,1,2,3,10,4,7,8,9]=>[9,8,7,4,10,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [11,6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1]=>10 [7,6,1,2,3,4,10,5,8,9]=>[9,8,5,10,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [11,7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1]=>10 [8,7,1,2,3,4,5,10,6,9]=>[9,6,10,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [8,11,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,11,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1]=>10 [8,9,1,2,3,4,5,6,10,7]=>[7,10,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,3]=>7 [11,9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1]=>10 [6,2,4,3,8,7,5,1]=>[1,5,7,8,3,4,2,6]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [5,2,7,1,3,4,8,6]=>[6,8,4,3,1,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,6,5,7,3,1,4,8]=>[8,4,1,3,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,7,3,1,8,4]=>[4,8,1,3,7,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,1,4,7,8,5,2]=>[2,5,8,7,4,1,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [6,3,2,4,7,5,8,1]=>[1,8,5,7,4,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,2,4,7,5,1,8]=>[8,1,5,7,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,6,3,7,8,5]=>[5,8,7,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,4,3,5,8,6,1,2]=>[2,1,6,8,5,3,4,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,4,3,5,8,6,2,1]=>[1,2,6,8,5,3,4,7]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [4,2,1,3,7,8,6,5]=>[5,6,8,7,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [5,8,1,7,4,3,2,6]=>[6,2,3,4,7,1,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,2,1,8,3,5,6,7]=>[7,6,5,3,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,1,3,7,5,6,8]=>[8,6,5,7,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,3,6,8,7,5]=>[5,7,8,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,3,2,4,8,6,5,1]=>[1,5,6,8,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [4,2,1,6,3,8,7,5]=>[5,7,8,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,2,1,7,3,5,6,8]=>[8,6,5,3,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,2,6,8,5,1]=>[1,5,8,6,2,4,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,8,6,2,7,3,5,1]=>[1,5,3,7,2,6,8,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [7,3,4,2,6,8,1,5]=>[5,1,8,6,2,4,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,6,7,5,2,4,8,1]=>[1,8,4,2,5,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,7,5,2,4,1,8]=>[8,1,4,2,5,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,7,3,6,8,5]=>[5,8,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,6,8,4,2,5,1]=>[1,5,2,4,8,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [5,8,1,7,4,2,6,3]=>[3,6,2,4,7,1,8,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [3,7,8,6,2,4,5,1]=>[1,5,4,2,6,8,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [4,2,1,3,8,6,7,5]=>[5,7,6,8,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,2,1,3,5,7,6,8]=>[8,6,7,5,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,1,3,5,8,6,7]=>[7,6,8,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,7,8,6,3,5,2,1]=>[1,2,5,3,6,8,7,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,3,1,2]=>1 [4,2,1,8,3,7,6,5]=>[5,6,7,3,8,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,2,1,3,5,6,8,7]=>[7,8,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,8,2,4,1,3,6,5]=>[5,6,3,1,4,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [2,6,1,5,4,7,8,3]=>[3,8,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,3,5,8,7,1,2]=>[2,1,7,8,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,5,6,1,4,8,7,2]=>[2,7,8,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [2,3,6,8,4,1,5,7]=>[7,5,1,4,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,5,1,8,3,4,6]=>[6,4,3,8,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,5,2,1,3,6,8]=>[8,6,3,1,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,2,4,1,7,8]=>[8,7,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,1,4,8,3,7]=>[7,3,8,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,7,8,4,1,5,3,2]=>[2,3,5,1,4,8,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>2 [7,1,6,8,4,5,3,2]=>[2,3,5,4,8,6,1,7]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [7,4,6,5,2,8,1,3]=>[3,1,8,2,5,6,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,7,8,1,4,6,3,2]=>[2,3,6,4,1,8,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [8,1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1,8]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>2 [1,8,4,6,7,5,3,2]=>[2,3,5,7,6,4,8,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,2,2,1]=>2 [6,1,8,4,7,5,3,2]=>[2,3,5,7,4,8,1,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,2,2,1]=>2 [4,5,8,6,1,7,3,2]=>[2,3,7,1,6,8,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [4,8,5,1,6,7,3,2]=>[2,3,7,6,1,5,8,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [8,1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>2 [5,6,7,1,4,2,3,8]=>[8,3,2,4,1,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [4,8,5,2,1,6,7,3]=>[3,7,6,1,2,5,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,1,8,4,2,6,3,7]=>[7,3,6,2,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,8,4,6,2,5,3,7]=>[7,3,5,2,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,5,2,3,4,7,8]=>[8,7,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,1,8,2,5,6,4,7]=>[7,4,6,5,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,5,1,8,2,6,4,7]=>[7,4,6,2,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,1,2,8,4,7,6]=>[6,7,4,8,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,3,5,8,6,1,7,4]=>[4,7,1,6,8,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [8,2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,2,8,5,7,1,6,4]=>[4,6,1,7,5,8,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [3,6,2,8,5,1,7,4]=>[4,7,1,5,8,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,2,1,8,4,7,5,3]=>[3,5,7,4,8,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [2,8,7,1,4,6,5,3]=>[3,5,6,4,1,7,8,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [8,2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [7,2,5,3,6,8,1,4]=>[4,1,8,6,3,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,3,1,5,6,2,4,8]=>[8,4,2,6,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,1,6,2,4,8]=>[8,4,2,6,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,3,6,5,8,1,4]=>[4,1,8,5,6,3,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7,8]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [1,8,7,2,3,6,5,4]=>[4,5,6,3,2,7,8,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [1,7,8,2,6,4,3,5]=>[5,3,4,6,2,8,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,7,3,8,2,6,4,5]=>[5,4,6,2,8,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,2,7,3,6,4,5,8]=>[8,5,4,6,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,5,8,3,2,4,6]=>[6,4,2,3,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,6,2,8,4,3,7,5]=>[5,7,3,4,8,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,3,8,7,2,4,6,5]=>[5,6,4,2,7,8,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [1,8,3,7,2,5,4,6]=>[6,4,5,2,7,3,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [4,7,8,1,3,2,5,6]=>[6,5,2,3,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,4,2,3,5,6,8]=>[8,6,5,3,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [2,1,3,8,4,6,7,5]=>[5,7,6,4,8,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,4,7,5,6,8,3,1]=>[1,3,8,6,5,7,4,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,4,8,7,5,6,3,1]=>[1,3,6,5,7,8,4,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>1 [2,5,3,8,4,7,6,1]=>[1,6,7,4,8,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [2,8,5,7,3,6,4,1]=>[1,4,6,3,7,5,8,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>1 [3,1,8,5,2,7,6,4]=>[4,6,7,2,5,8,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [8,3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3,8]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>2 [8,3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [2,8,6,3,4,5,7,1]=>[1,7,5,4,3,6,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,6,8,3,4,5,7,1]=>[1,7,5,4,3,8,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,5,7,3,4,8,6,1]=>[1,6,8,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,7,8,5,3,6,4,1]=>[1,4,6,3,5,8,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [2,7,6,3,4,8,5,1]=>[1,5,8,4,3,6,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,1,8,7,2,6,4,5]=>[5,4,6,2,7,8,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [8,3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3,8]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [4,8,1,7,2,3,6,5]=>[5,6,3,2,7,1,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,1,7,2,3,6,5,8]=>[8,5,6,3,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,8,2,6,4,5]=>[5,4,6,2,8,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,1,7,8,2,5,6,4]=>[4,6,5,2,8,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,1,6,5,8,2,7,4]=>[4,7,2,8,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,3,5,8,7,1,4,2]=>[2,4,1,7,8,5,3,6]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [7,3,8,5,1,6,4,2]=>[2,4,6,1,5,8,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,3,6,1,4,8,5,2]=>[2,5,8,4,1,6,3,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [7,8,3,6,1,4,5,2]=>[2,5,4,1,6,3,8,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>2 [7,4,8,1,2,3,6,5]=>[5,6,3,2,1,8,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [8,7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7,8]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [7,5,1,2,3,4,8,6]=>[6,8,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,6,1,2,8,3,5]=>[5,3,8,2,1,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,4,1,2,8,5,7,3]=>[3,7,5,8,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,7,1,2,3,6,4,8]=>[8,4,6,3,2,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,8,1,2,7,4,5]=>[5,4,7,2,1,8,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,8,6,1,2,3,7,5]=>[5,7,3,2,1,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,8,1,5,2,7,3,6]=>[6,3,7,2,5,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,1,2,5,3,8,7,6]=>[6,7,8,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,1,4,8,7,5,2,6]=>[6,2,5,7,8,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,6,8,7,5,1,2]=>[2,1,5,7,8,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [5,4,1,8,2,7,6,3]=>[3,6,7,2,8,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [5,4,1,8,2,7,3,6]=>[6,3,7,2,8,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6,8]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [6,4,8,1,2,5,3,7]=>[7,3,5,2,1,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,7,3,1,4,8,5,2]=>[2,5,8,4,1,3,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,6,3,8,7,1,4,2]=>[2,4,1,7,8,3,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [5,4,1,6,8,2,7,3]=>[3,7,2,8,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,4,7,1,2,8,6,3]=>[3,6,8,2,1,7,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [6,7,4,1,2,8,3,5]=>[5,3,8,2,1,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,5,1,2,3,7,8,4]=>[4,8,7,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,5,1,2,3,4,8,7]=>[7,8,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,5,1,2,3,7,4,8]=>[8,4,7,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,1,2,5,3,8]=>[8,3,5,2,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,6,4,1,2,5,3]=>[3,5,2,1,4,6,8,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>3 [2,4,6,3,5,7,1,8]=>[8,1,7,5,3,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,6,3,7,2,5,8]=>[8,5,2,7,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [1,8,3,4,2,7,5,6]=>[6,5,7,2,4,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,3,4,1,6,7,5]=>[5,7,6,1,4,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7,8]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [3,8,2,4,6,1,7,5]=>[5,7,1,6,4,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [7,8,2,4,3,1,6,5]=>[5,6,1,3,4,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [4,5,8,2,3,1,7,6]=>[6,7,1,3,2,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,1,4,3,7,2,6,8]=>[8,6,2,7,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,5,7,2,4,8]=>[8,4,2,7,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,4,7,5,3,6,8]=>[8,6,3,5,7,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,3,6,2,5,4,8]=>[8,4,5,2,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,1,8,3,7,5,4,6]=>[6,4,5,7,3,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [7,1,8,2,5,6,3,4]=>[4,3,6,5,2,8,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,1,5,8,2,7,3,4]=>[4,3,7,2,8,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,5,2,8,1,6,7,3]=>[3,7,6,1,8,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,2,8,5,1,6,7,4]=>[4,7,6,1,5,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [1,3,8,2,5,7,4,6]=>[6,4,7,5,2,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,8,7,1,6,4,5,3]=>[3,5,4,6,1,7,8,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [3,8,7,1,5,6,4,2]=>[2,4,6,5,1,7,8,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [3,4,8,5,6,1,7,2]=>[2,7,1,6,5,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [8,3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3,8]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [1,4,8,6,2,7,3,5]=>[5,3,7,2,6,8,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4,8]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>2 [3,5,6,8,4,1,7,2]=>[2,7,1,4,8,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,2,3,1,5,4,7,8]=>[8,7,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,1,4,6,5,8]=>[8,5,6,4,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,5,1,3,2,6,4,8]=>[8,4,6,2,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,4,5,3,7,8]=>[8,7,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,4,1,5,2,7,8]=>[8,7,2,5,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,1,2,6,3,8]=>[8,3,6,2,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,4,1,2,6,5,8]=>[8,5,6,2,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,4,2,5,3,8]=>[8,3,5,2,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,3,5,6,4,8]=>[8,4,6,5,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,8,1,3,4,6,7,5]=>[5,7,6,4,3,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [7,8,1,2,5,3,6,4]=>[4,6,3,5,2,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [3,8,4,1,2,5,7,6]=>[6,7,5,2,1,4,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,2,6,7,5,3,8,4]=>[4,8,3,5,7,6,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,5,3,2,8,4,6]=>[6,4,8,2,3,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,6,7,5,3,8,4,2]=>[2,4,8,3,5,7,6,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,6,5,7,2,3,8,4]=>[4,8,3,2,7,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,8,2,6,5,7,4]=>[4,7,5,6,2,8,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,2,5,7,6,3,4,8]=>[8,4,3,6,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,8,2,5,7,6]=>[6,7,5,2,8,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,5,7,6,2,3,4,8]=>[8,4,3,2,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,8,2,6,4,7]=>[7,4,6,2,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,8,3,2,5,7,6]=>[6,7,5,2,3,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,4,8,3,5,7,6,2]=>[2,6,7,5,3,8,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,2,4,8,3,5,7,6]=>[6,7,5,3,8,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,3,8,4,2,6,7,5]=>[5,7,6,2,4,8,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,4,8,2,3,5,7,6]=>[6,7,5,3,2,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,5,7,3,8,2,4,1]=>[1,4,2,8,3,7,5,6]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [4,2,6,7,5,8,3,1]=>[1,3,8,5,7,6,2,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,7,5,2,1,8,4,3]=>[3,4,8,1,2,5,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [3,4,8,7,5,2,1,6]=>[6,1,2,5,7,8,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,7,5,2,8,4,6,3]=>[3,6,4,8,2,5,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,6,8,3,1,7,2,4]=>[4,2,7,1,3,8,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,4,7,1,8,6,2,5]=>[5,2,6,8,1,7,4,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,4,6,8,2,1,5,7]=>[7,5,1,2,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,8,2,5,6,1,4,7]=>[7,4,1,6,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,2,5,7,3,8,6,1]=>[1,6,8,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,2,6,8,4,1,3,7]=>[7,3,1,4,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,1,6,8,3,2,7]=>[7,2,3,8,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,3,7,8,2,5,1]=>[1,5,2,8,7,3,4,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [6,4,3,1,7,8,2,5]=>[5,2,8,7,1,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,1,3,5,4,8,2,6]=>[6,2,8,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,7,3,8,4,6,1,2]=>[2,1,6,4,8,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,6,3,7,8,5,2,1]=>[1,2,5,8,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [5,3,6,7,8,4,2,1]=>[1,2,4,8,7,6,3,5]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [1,5,3,6,7,8,4,2]=>[2,4,8,7,6,3,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [4,6,1,7,3,8,5,2]=>[2,5,8,3,7,1,6,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [6,3,7,1,8,4,5,2]=>[2,5,4,8,1,7,3,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,7,2,4,8,1,5,3]=>[3,5,1,8,4,2,7,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,6,1,4,7,3,8,5]=>[5,8,3,7,4,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,5,6,7,8,1,4]=>[4,1,8,7,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,7,1,3,2,8,4,5]=>[5,4,8,2,3,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,2,7,1,3,4,8,5]=>[5,8,4,3,1,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,2,1,7,3,8,4,6]=>[6,4,8,3,7,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,4,2,7,1,8,3,5]=>[5,3,8,1,7,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,2,6,3,7,8,5,1]=>[1,5,8,7,3,6,2,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,7,3,8,2,4,5,1]=>[1,5,4,2,8,3,7,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [3,6,2,7,4,1,8,5]=>[5,8,1,4,7,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,3,2,1,4,8,5]=>[5,8,4,1,2,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,4,1,8,3,5,6]=>[6,5,3,8,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,3,4,8,6,2,1,5]=>[5,1,2,6,8,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,5,7,2,1,8,6,4]=>[4,6,8,1,2,7,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,7,8,3,2,5,1,4]=>[4,1,5,2,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,3,7,8,2,5,4,1]=>[1,4,5,2,8,7,3,6]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [6,2,4,7,1,8,5,3]=>[3,5,8,1,7,4,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [4,6,2,7,1,8,5,3]=>[3,5,8,1,7,2,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [1,3,7,8,5,2,6,4]=>[4,6,2,5,8,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,5,7,8,1,6,3,4]=>[4,3,6,1,8,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,3,7,1,8,2,5,4]=>[4,5,2,8,1,7,3,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,5,6,1,7,8,4,3]=>[3,4,8,7,1,6,5,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,6,1,2,7,8,4,3]=>[3,4,8,7,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [6,7,2,1,8,5,3,4]=>[4,3,5,8,1,2,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,8,2,4,6,3,5,7]=>[7,5,3,6,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,2,8,3,5,1,4,6]=>[6,4,1,5,3,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,3,7,4,6,2,5,8]=>[8,5,2,6,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,7,4,3,6,2,8]=>[8,2,6,3,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,4,5,3,6,2,7]=>[7,2,6,3,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,5,3,4,7,2,6]=>[6,2,7,4,3,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,2,4,6,3,7,5]=>[5,7,3,6,4,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,2,5,4,6,7,3]=>[3,7,6,4,5,2,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,6,2,7,1,4,5,8]=>[8,5,4,1,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,8,1,2,4,7,5]=>[5,7,4,2,1,8,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,3,7,4,6,2,8,5]=>[5,8,2,6,4,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,7,5,2,6,8,3]=>[3,8,6,2,5,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,2,7,1,3,8,6]=>[6,8,3,1,7,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,2,3,6,1,8,7]=>[7,8,1,6,3,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,3,7,1,8,2]=>[2,8,1,7,3,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,5,4,7,1,6,8,3]=>[3,8,6,1,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,3,8,6,7,1,5]=>[5,1,7,6,8,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,2,4,8,5,1,7,3]=>[3,7,1,5,8,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,2,4,8,1,3,7,6]=>[6,7,3,1,8,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,2,5,4,8,3,7,1]=>[1,7,3,8,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,4,3,5,8,2,7,1]=>[1,7,2,8,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,2,3,4,8,1,6,7]=>[7,6,1,8,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,2,4,7,1,6,8]=>[8,6,1,7,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,8,1,6,2,7]=>[7,2,6,1,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,3,7,1,6,2,8]=>[8,2,6,1,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,8,5,1,3,7]=>[7,3,1,5,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,6,3,8,5,1,2,4]=>[4,2,1,5,8,3,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,4,3,7,8,2,5,6]=>[6,5,2,8,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,2,6,7,3,8,1,5]=>[5,1,8,3,7,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,5,7,4,2,8,6,3]=>[3,6,8,2,4,7,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,3,7,2,8,6,4,5]=>[5,4,6,8,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,4,3,7,8,6,2,5]=>[5,2,6,8,7,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,5,3,6,8,2,7,4]=>[4,7,2,8,6,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,5,2,7,1,8,6,3]=>[3,6,8,1,7,2,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,3,6,5,7,8,1,2]=>[2,1,8,7,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,2,3,5,6,8,1,7]=>[7,1,8,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,6,4,7,8,3,1]=>[1,3,8,7,4,6,2,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,2,6,7,3,8,5,1]=>[1,5,8,3,7,6,2,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,2,5,6,8,1,7,4]=>[4,7,1,8,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4,8]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>1 [6,4,2,5,3,1,8,7]=>[7,8,1,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,2,5,3,8,7,1]=>[1,7,8,3,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [8,6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6,8]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>1 [8,6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6,8]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>1 [6,8,7,4,5,2,3,1]=>[1,3,2,5,4,7,8,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,2,2,1]=>1 [4,8,6,7,5,2,3,1]=>[1,3,2,5,7,6,8,4]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>1 [6,8,4,7,5,2,3,1]=>[1,3,2,5,7,4,8,6]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>1 [6,8,2,7,4,5,3,1]=>[1,3,5,4,7,2,8,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>1 [8,6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6,8]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>1 [8,6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6,8]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,2,2,1]=>1 [6,8,2,4,7,5,3,1]=>[1,3,5,7,4,2,8,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,2,2,1]=>1 [4,8,2,6,7,5,3,1]=>[1,3,5,7,6,2,8,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,2,2,1]=>1 [2,8,4,6,7,5,3,1]=>[1,3,5,7,6,4,8,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,2,2,1]=>1 [2,8,6,7,4,5,3,1]=>[1,3,5,4,7,6,8,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>1 [6,8,7,2,4,5,3,1]=>[1,3,5,4,2,7,8,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,2,2,1]=>1 [2,6,4,5,8,7,3,1]=>[1,3,7,8,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [2,6,4,8,7,5,3,1]=>[1,3,5,7,8,4,6,2]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,2,2,1]=>1 [4,6,2,8,7,5,3,1]=>[1,3,5,7,8,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,2,2,1]=>1 [8,2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2,8]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,2,2,1]=>1 [6,2,4,8,7,5,3,1]=>[1,3,5,7,8,4,2,6]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,2,2,1]=>1 [4,2,6,8,7,5,3,1]=>[1,3,5,7,8,6,2,4]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,2,2,1]=>1 [4,2,6,5,8,7,3,1]=>[1,3,7,8,5,6,2,4]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [8,2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2,8]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>1 [8,6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6,8]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,2,2,1]=>1 [6,4,5,8,7,2,3,1]=>[1,3,2,7,8,5,4,6]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,4,1]=>1 [8,6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6,8]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,2,2,1]=>1 [8,4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4,8]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>1 [6,4,8,7,2,5,3,1]=>[1,3,5,2,7,8,4,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>1 [6,2,8,7,4,5,3,1]=>[1,3,5,4,7,8,2,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>1 [6,4,8,7,5,2,3,1]=>[1,3,2,5,7,8,4,6]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>1 [4,6,8,7,5,2,3,1]=>[1,3,2,5,7,8,6,4]=>[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>1 [4,6,5,8,7,2,3,1]=>[1,3,2,7,8,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,4,1]=>1 [2,6,8,7,4,5,3,1]=>[1,3,5,4,7,8,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>1 [2,4,8,6,7,5,3,1]=>[1,3,5,7,6,8,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,2,2,1]=>1 [4,2,8,6,7,5,3,1]=>[1,3,5,7,6,8,2,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,2,2,1]=>1 [6,2,8,4,7,5,3,1]=>[1,3,5,7,4,8,2,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,2,2,1]=>1 [8,2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2,8]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,2,2,1]=>1 [6,4,8,2,7,5,3,1]=>[1,3,5,7,2,8,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,2,2,1]=>1 [4,6,8,2,7,5,3,1]=>[1,3,5,7,2,8,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,2,2,1]=>1 [2,6,8,4,7,5,3,1]=>[1,3,5,7,4,8,6,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,2,2,1]=>1 [4,6,8,7,2,5,3,1]=>[1,3,5,2,7,8,6,4]=>[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>1 [4,6,5,8,2,7,3,1]=>[1,3,7,2,8,5,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [2,1,6,8,4,7,5,3]=>[3,5,7,4,8,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [2,1,8,6,4,7,5,3]=>[3,5,7,4,6,8,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [6,8,7,4,2,5,3,1]=>[1,3,5,2,4,7,8,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,2,2,1]=>1 [2,8,6,4,7,5,3,1]=>[1,3,5,7,4,6,8,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,2,2,1]=>1 [4,8,6,2,7,5,3,1]=>[1,3,5,7,2,6,8,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,2,2,1]=>1 [9,8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8,9]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1,1]=>5 [9,8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8,9]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,1,1,1,1]=>5 [9,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,9]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [9,8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8,9]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [5,9,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,9,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[6,1,1,1]=>6 [9,8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8,9]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[6,1,1,1]=>6 [9,8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,1,1]=>6 [6,9,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,9,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0]=>[7,1,1]=>7 [6,9,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,9,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[7,1,1]=>7 [9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0]=>[7,1,1]=>7 [9,4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[7,1,1]=>7 [9,6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,1,1]=>7 [3,5,7,9,1,2,4,6,8]=>[8,6,4,2,1,9,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [5,7,9,1,2,3,4,6,8]=>[8,6,4,3,2,1,9,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [7,9,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [10,9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9,10]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>3 [7,10,6,9,1,2,3,4,5,8]=>[8,5,4,3,2,1,9,6,10,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]=>[8,1,1]=>8 [10,3,5,7,9,1,2,4,6,8]=>[8,6,4,2,1,9,7,5,3,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[8,1,1]=>8 [10,5,7,9,1,2,3,4,6,8]=>[8,6,4,3,2,1,9,7,5,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[8,1,1]=>8 [10,7,9,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,9,7,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[8,1,1]=>8 [4,6,8,10,1,2,3,5,7,9]=>[9,7,5,3,2,1,10,8,6,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[9,1]=>9 [6,8,10,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,10,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,1]=>9 [6,2,5,7,4,8,3,1]=>[1,3,8,4,7,5,2,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [8,5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>3 [6,7,3,2,5,8,4,1]=>[1,4,8,5,2,3,7,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,3,6,4,7,8,5,1]=>[1,5,8,7,4,6,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,5,1,8,3,4,6,2]=>[2,6,4,3,8,1,5,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [6,3,2,8,5,7,4,1]=>[1,4,7,5,8,2,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [3,8,4,7,2,5,6,1]=>[1,6,5,2,7,4,8,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [3,4,8,1,6,2,7,5]=>[5,7,2,6,1,8,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,8,4,6,7,3,5,2]=>[2,5,3,7,6,4,8,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [7,6,5,4,1,2,8,3]=>[3,8,2,1,4,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,6,8,3,4,2,1]=>[1,2,4,3,8,6,7,5]=>[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,4]=>1 [2,8,1,6,5,7,4,3]=>[3,4,7,5,6,1,8,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [4,6,8,2,5,3,7,1]=>[1,7,3,5,2,8,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [8,1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,2,3,7,4,8,6,1]=>[1,6,8,4,7,3,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [7,2,4,8,5,3,6,1]=>[1,6,3,5,8,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [3,7,5,1,8,4,6,2]=>[2,6,4,8,1,5,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [2,7,8,5,4,6,1,3]=>[3,1,6,4,5,8,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [5,7,4,3,8,6,2,1]=>[1,2,6,8,3,4,7,5]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [8,3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [4,3,2,8,5,7,1,6]=>[6,1,7,5,8,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,6,4,2,8,5,7,1]=>[1,7,5,8,2,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,4,3,5,1,8,6,7]=>[7,6,8,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,7,8,5,6,1,2,4]=>[4,2,1,6,5,8,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [3,6,1,8,4,7,2,5]=>[5,2,7,4,8,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,1,6,8,4,7,2,5]=>[5,2,7,4,8,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,1,6,8,3,2,7,5]=>[5,7,2,3,8,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,6,1,8,3,2,7,5]=>[5,7,2,3,8,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,7,8,1,3,2,6,5]=>[5,6,2,3,1,8,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,7,8,3,1,2,6,5]=>[5,6,2,1,3,8,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,8,3,4,6,5,1]=>[1,5,6,4,3,8,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [4,7,8,2,1,3,6,5]=>[5,6,3,1,2,8,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,6,1,8,2,3,7,5]=>[5,7,3,2,8,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,1,6,8,2,3,7,5]=>[5,7,3,2,8,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,5,1,2,8,3,7,6]=>[6,7,3,8,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,5,2,1,8,3,7,6]=>[6,7,3,8,1,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,6,2,8,1,3,7,5]=>[5,7,3,1,8,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,6,2,8,4,7,1,5]=>[5,1,7,4,8,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,3,6,8,4,7,5,1]=>[1,5,7,4,8,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [3,2,6,8,4,7,1,5]=>[5,1,7,4,8,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,2,6,8,3,1,7,5]=>[5,7,1,3,8,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,2,5,1,8,3,7,6]=>[6,7,3,8,1,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,2,5,8,3,7,6]=>[6,7,3,8,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,1,2,4,3,8,7,6]=>[6,7,8,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,2,4,1,3,8,7,6]=>[6,7,8,3,1,4,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,2,5,3,8,1,7,6]=>[6,7,1,8,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,2,5,4,8,7,1,6]=>[6,1,7,8,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,5,2,4,8,7,1,6]=>[6,1,7,8,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,4,2,1,3,8,7,6]=>[6,7,8,3,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,1,4,2,3,8,7,6]=>[6,7,8,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,4,1,3,2,8,7,6]=>[6,7,8,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,4,3,1,2,8,7,6]=>[6,7,8,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,5,3,1,8,2,7,6]=>[6,7,2,8,1,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,5,1,3,8,2,7,6]=>[6,7,2,8,3,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,1,5,4,8,7,2,6]=>[6,2,7,8,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,5,1,4,8,7,2,6]=>[6,2,7,8,4,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,5,4,1,8,7,2,6]=>[6,2,7,8,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,6,5,8,7,1,2,4]=>[4,2,1,7,8,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [2,5,6,8,7,3,4,1]=>[1,4,3,7,8,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [3,4,5,1,8,7,2,6]=>[6,2,7,8,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,4,1,5,8,7,2,6]=>[6,2,7,8,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,3,5,8,2,7,6]=>[6,7,2,8,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,3,6,8,2,1,7,5]=>[5,7,1,2,8,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,6,8,3,7,5,1]=>[1,5,7,3,8,6,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [3,4,5,2,8,7,1,6]=>[6,1,7,8,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,3,1,4,2,8,7,6]=>[6,7,8,2,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,1,3,4,2,8,7,6]=>[6,7,8,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,1,3,2,4,8,7,6]=>[6,7,8,4,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,3,2,1,4,8,7,6]=>[6,7,8,4,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,3,2,5,8,1,7,6]=>[6,7,1,8,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,4,2,5,8,7,1,6]=>[6,1,7,8,5,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,2,4,5,8,7,1,6]=>[6,1,7,8,5,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,2,3,5,8,1,7,6]=>[6,7,1,8,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,3,1,4,8,7,6]=>[6,7,8,4,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,2,1,3,4,8,7,6]=>[6,7,8,4,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,1,2,3,4,8,7,6]=>[6,7,8,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [8,6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,5,7,4,2,8,3,1]=>[1,3,8,2,4,7,5,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,7,5,3,8,2,4,1]=>[1,4,2,8,3,5,7,6]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [8,3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,3,7,8,4,5,1]=>[1,5,4,8,7,3,2,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,3,1,6,5,8,4,2]=>[2,4,8,5,6,1,3,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,5,6,7,3,4,8,2]=>[2,8,4,3,7,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,8,4,7,2,6,1]=>[1,6,2,7,4,8,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [5,3,1,7,8,6,2,4]=>[4,2,6,8,7,1,3,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,4,2,8,5,1,7,6]=>[6,7,1,5,8,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,8,6,5,2,1,7,4]=>[4,7,1,2,5,6,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [3,4,1,8,2,6,7,5]=>[5,7,6,2,8,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,1,7,6,2,8,4,3]=>[3,4,8,2,6,7,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [6,8,2,5,7,4,1,3]=>[3,1,4,7,5,2,8,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [2,8,5,6,7,1,3,4]=>[4,3,1,7,6,5,8,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [2,5,7,6,3,1,8,4]=>[4,8,1,3,6,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,8,3,1,5,6,7]=>[7,6,5,1,3,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,5,7,3,8,4,6,1]=>[1,6,4,8,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [8,3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3,8]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[2,2,1,2,1]=>2 [1,3,7,5,8,6,4,2]=>[2,4,6,8,5,7,3,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [3,5,7,1,4,8,6,2]=>[2,6,8,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [5,7,4,8,3,6,2,1]=>[1,2,6,3,8,4,7,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [1,8,3,2,4,7,5,6]=>[6,5,7,4,2,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [3,6,4,8,2,5,7,1]=>[1,7,5,2,8,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,3,7,2,5,8,1,6]=>[6,1,8,5,2,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,2,4,7,8,5,6,1]=>[1,6,5,8,7,4,2,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [2,6,4,3,8,5,1,7]=>[7,1,5,8,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,8,2,1,6,4,5,7]=>[7,5,4,6,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,6,8,3,2,1,5,7]=>[7,5,1,2,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,6,8,5,4,1,7]=>[7,1,4,5,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,3,8,2,5,4,1,6]=>[6,1,4,5,2,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,8,2,6,5,3,1,7]=>[7,1,3,5,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,1,8,6,5,4,2,7]=>[7,2,4,5,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,8,7,3,2,6,1]=>[1,6,2,3,7,8,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [6,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [4,7,3,6,2,1,8,5]=>[5,8,1,2,6,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,8,7,6,2,1,3]=>[3,1,2,6,7,8,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [4,7,8,3,1,6,5,2]=>[2,5,6,1,3,8,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [8,7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7,8]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,2,2,1,1]=>1 [4,6,1,3,8,7,5,2]=>[2,5,7,8,3,1,6,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [6,8,2,1,7,4,5,3]=>[3,5,4,7,1,2,8,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [3,1,2,7,5,6,8,4]=>[4,8,6,5,7,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,6,1,2,7,5,8,4]=>[4,8,5,7,2,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,6,2,5,8,1,4]=>[4,1,8,5,2,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [6,3,2,4,8,7,5,1]=>[1,5,7,8,4,2,3,6]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [7,3,8,2,6,5,1,4]=>[4,1,5,6,2,8,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [6,4,8,7,2,5,1,3]=>[3,1,5,2,7,8,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [5,2,8,1,7,6,3,4]=>[4,3,6,7,1,8,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [6,2,1,3,8,7,5,4]=>[4,5,7,8,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [3,6,1,8,7,5,2,4]=>[4,2,5,7,8,1,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [5,6,1,2,8,7,4,3]=>[3,4,7,8,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [2,7,6,8,1,5,4,3]=>[3,4,5,1,8,6,7,2]=>[1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [7,4,8,6,1,2,5,3]=>[3,5,2,1,6,8,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [5,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>2 [7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,7,1]=>1 [11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1]=>10 [8,5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [6,5,4,8,3,2,7,1]=>[1,7,2,3,8,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [10,9,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,10]=>1 [7,3,1,4,8,2,5,6]=>[6,5,2,8,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,1,2,5,8,3,6]=>[6,3,8,5,2,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,4,2,5,1,3,8]=>[8,3,1,5,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,2,4,6,8,1,3]=>[3,1,8,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,7,5,1,6,2,8,3]=>[3,8,2,6,1,5,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,4,6,3,1,8,2]=>[2,8,1,3,6,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,1,4,3,2,8,6]=>[6,8,2,3,4,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [6,4,7,1,3,8,5,2]=>[2,5,8,3,1,7,4,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,4,2,7,3,1,6,8]=>[8,6,1,3,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,2,7,6,8,3]=>[3,8,6,7,2,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,6,8,3,1,2,7]=>[7,2,1,3,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,8,1,3,7,2,5]=>[5,2,7,3,1,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,6,1,3,8,5,2,7]=>[7,2,5,8,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,8,4,5,7,2,6]=>[6,2,7,5,4,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,6,7,4,5,3,1,8]=>[8,1,3,5,4,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,8,4,3,5,1,7]=>[7,1,5,3,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,3,7,4,2,8,5,6]=>[6,5,8,2,4,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,5,8,6,2,1,3,4]=>[4,3,1,2,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [2,8,1,3,6,5,4,7]=>[7,4,5,6,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,7,3,5,4,1,6]=>[6,1,4,5,3,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,4,2,6,8,7,1,5]=>[5,1,7,8,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,3,8,4,1,2,6,5]=>[5,6,2,1,4,8,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [6,8,3,2,7,1,5,4]=>[4,5,1,7,2,3,8,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [2,8,5,6,3,7,1,4]=>[4,1,7,3,6,5,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,4,2,5,8,1,6,3]=>[3,6,1,8,5,2,4,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,7,8,3,4,5,1,6]=>[6,1,5,4,3,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [3,7,1,2,4,6,5,8]=>[8,5,6,4,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,8,2,1,4,3]=>[3,4,1,2,8,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [3,1,6,5,2,7,4,8]=>[8,4,7,2,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,6,5,3,4,1,7]=>[7,1,4,3,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,2,3,5,6,8,4]=>[4,8,6,5,3,2,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,4,6,2,8,5,7,1]=>[1,7,5,8,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,2,1,7,5,8,3,6]=>[6,3,8,5,7,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,2,6,5,1,3,8]=>[8,3,1,5,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,4,1,2,5,8,6]=>[6,8,5,2,1,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,7,1,6,5,2,8,3]=>[3,8,2,5,6,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,3,6,5,1,8,2]=>[2,8,1,5,6,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,7,1,6,8,5,2]=>[2,5,8,6,1,7,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,2,1,7,5,6,8,3]=>[3,8,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,4,8,6,7,1,5]=>[5,1,7,6,8,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,2,6,8,7,3,1,5]=>[5,1,3,7,8,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [3,4,6,1,8,5,2,7]=>[7,2,5,8,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,6,7,5,8,2,3]=>[3,2,8,5,7,6,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,3,7,1,6,8,2,5]=>[5,2,8,6,1,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,7,5,6,8,2,1]=>[1,2,8,6,5,7,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,1,7,3,6,5,2,8]=>[8,2,5,6,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,7,4,5,3,1,6]=>[6,1,3,5,4,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [2,8,7,4,3,5,1,6]=>[6,1,5,3,4,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,8,1,4,2,6,5,7]=>[7,5,6,2,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,1,7,3,6,2,5,8]=>[8,5,2,6,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,7,6,1,2,4,3]=>[3,4,2,1,6,7,8,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [5,8,7,6,2,1,3,4]=>[4,3,1,2,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,1,1]=>4 [4,1,7,2,6,8,5,3]=>[3,5,8,6,2,7,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [4,2,7,3,6,1,8,5]=>[5,8,1,6,3,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,7,3,6,5,8,1]=>[1,8,5,6,3,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,8,2,4,5,6,7,1]=>[1,7,6,5,4,2,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [3,8,2,4,1,6,7,5]=>[5,7,6,1,4,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,5,6,2,4,1,7]=>[7,1,4,2,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,6,5,3,7,1,4]=>[4,1,7,3,5,6,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,6,5,1,4,7,2]=>[2,7,4,1,5,6,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,8,2,1,4,6,7,5]=>[5,7,6,4,1,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,2,5,4,6,7,1]=>[1,7,6,4,5,2,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,2,7,5,6,3,8,1]=>[1,8,3,6,5,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,7,5,6,1,8,3]=>[3,8,1,6,5,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,6,7,5,3,1,8]=>[8,1,3,5,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,1,4,5,8,7]=>[7,8,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,8,7,3,4,5,1,6]=>[6,1,5,4,3,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,8,1,2,4,6,5,7]=>[7,5,6,4,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,7,6,1,3,4,2]=>[2,4,3,1,6,7,8,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [5,8,7,6,2,3,4,1]=>[1,4,3,2,6,7,8,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [3,8,1,5,2,6,4,7]=>[7,4,6,2,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,7,5,3,4,1,6]=>[6,1,4,3,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [2,8,7,5,4,3,1,6]=>[6,1,3,4,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,8,7,6,1,3,2,4]=>[4,2,3,1,6,7,8,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,1,1]=>4 [5,8,7,6,4,1,2,3]=>[3,2,1,4,6,7,8,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [5,4,2,3,7,6,8,1]=>[1,8,6,7,3,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,3,5,2,8,1,6]=>[6,1,8,2,5,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,4,6,2,3,5,8,1]=>[1,8,5,3,2,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,1,7,2,4,6,8,3]=>[3,8,6,4,2,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,1,7,3,6,8,2]=>[2,8,6,3,7,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,7,6,2,5,8,1]=>[1,8,5,2,6,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,5,6,1,3,8,2]=>[2,8,3,1,6,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,6,4,3,1,8,2]=>[2,8,1,3,4,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,6,3,1,4,8,2]=>[2,8,4,1,3,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,2,3,4,8,1,6]=>[6,1,8,4,3,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [3,2,8,6,7,1,4,5]=>[5,4,1,7,6,8,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [4,8,3,6,5,2,1,7]=>[7,1,2,5,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,6,5,4,2,3,7]=>[7,3,2,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,6,8,5,1,2,4,7]=>[7,4,2,1,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,1,2,8,3,5,6,4]=>[4,6,5,3,8,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,1,7,8,2,5,3,4]=>[4,3,5,2,8,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,1,4,5,8,6,2,3]=>[3,2,6,8,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,5,6,1,2,8,4,3]=>[3,4,8,2,1,6,5,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,7,6,8,4,2,1,3]=>[3,1,2,4,8,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [5,1,6,8,4,2,7,3]=>[3,7,2,4,8,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,4,8,2,3,6,5,1]=>[1,5,6,3,2,8,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [5,6,8,4,7,3,2,1]=>[1,2,3,7,4,8,6,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,4,1]=>1 [6,4,7,8,5,2,1,3]=>[3,1,2,5,8,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [3,6,4,8,5,1,2,7]=>[7,2,1,5,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,7,4,8,1,2,5,6]=>[6,5,2,1,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,4,3,8,2,6,5,1]=>[1,5,6,2,8,3,4,7]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [7,6,8,3,2,5,4,1]=>[1,4,5,2,3,8,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [8,7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [7,1,8,3,4,2,6,5]=>[5,6,2,4,3,8,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,6,8,3,1,4,5,2]=>[2,5,4,1,3,8,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [6,8,2,3,7,4,1,5]=>[5,1,4,7,3,2,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [7,8,2,3,4,6,5,1]=>[1,5,6,4,3,2,8,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,4,1,2]=>1 [8,1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,2,1,6,3,5,4,8]=>[8,4,5,3,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,6,3,5,4,8]=>[8,4,5,3,6,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,5,4,3,6,8]=>[8,6,3,4,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,1,5,4,3,6,8]=>[8,6,3,4,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,2,1,4,5,3,6,8]=>[8,6,3,5,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,4,5,3,6,8]=>[8,6,3,5,4,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,1,5,4,7,8]=>[8,7,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,1,5,4,7,8]=>[8,7,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,1,4,5,2,6,8]=>[8,6,2,5,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,1,5,4,2,6,8]=>[8,6,2,4,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,1,6,2,5,4,8]=>[8,4,5,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,6,2,5,4,8]=>[8,4,5,2,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,4,5,2,6,8]=>[8,6,2,5,4,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,1,5,4,7,8]=>[8,7,4,5,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,1,5,4,7,8]=>[8,7,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,4,1,6,7,8]=>[8,7,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,1,5,2,7,8]=>[8,7,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,1,5,3,7,8]=>[8,7,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,4,1,5,3,7,8]=>[8,7,3,5,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,1,3,7,4,8]=>[8,4,7,3,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,1,3,7,4,8]=>[8,4,7,3,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,1,3,7,4,8]=>[8,4,7,3,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,2,4,5,3,8]=>[8,3,5,4,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,2,8,3,5,4]=>[4,5,3,8,2,1,7,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,7,1,2,5,4,3,8]=>[8,3,4,5,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,1,3,7,4,8]=>[8,4,7,3,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,1,3,7,4,8]=>[8,4,7,3,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,1,5,3,7,8]=>[8,7,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,3,5,2,6,8]=>[8,6,2,5,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,5,3,2,6,8]=>[8,6,2,3,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,4,2,6,3,8]=>[8,3,6,2,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,6,2,3,8,4]=>[4,8,3,2,6,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,3,1,2,7,4,8]=>[8,4,7,2,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,3,1,6,7,8]=>[8,7,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,1,2,7,4,8]=>[8,4,7,2,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,1,5,2,7,8]=>[8,7,2,5,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,8,7,3,4,2]=>[2,4,3,7,8,1,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [6,8,5,2,3,4,1,7]=>[7,1,4,3,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,6,8,7,1,5,3,4]=>[4,3,5,1,7,8,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [6,5,1,2,7,8,4,3]=>[3,4,8,7,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,7,6,4,1,3,8,2]=>[2,8,3,1,4,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,7,5,3,8,4,2]=>[2,4,8,3,5,7,1,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [3,4,6,1,7,8,5,2]=>[2,5,8,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,8,5,6,7,2,3,1]=>[1,3,2,7,6,5,8,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,4,1]=>1 [5,8,6,1,7,2,4,3]=>[3,4,2,7,1,6,8,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [5,8,7,3,2,6,4,1]=>[1,4,6,2,3,7,8,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [6,8,7,2,5,1,3,4]=>[4,3,1,5,2,7,8,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [5,8,7,2,1,6,3,4]=>[4,3,6,1,2,7,8,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,7,8,5,1,6,2,4]=>[4,2,6,1,5,8,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,1,2,8,5,6,3,4]=>[4,3,6,5,8,2,1,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [7,1,3,5,8,6,2,4]=>[4,2,6,8,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [4,5,3,6,8,2,7,1]=>[1,7,2,8,6,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,1,8,6,3,4,7,2]=>[2,7,4,3,6,8,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,4,5,8,3,2,7,1]=>[1,7,2,3,8,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [3,6,4,8,7,1,5,2]=>[2,5,1,7,8,4,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [5,6,8,3,1,2,7,4]=>[4,7,2,1,3,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,1,8,3,5,2,7,4]=>[4,7,2,5,3,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,6,8,3,5,2,1,4]=>[4,1,2,5,3,8,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [8,7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [5,8,2,4,3,6,7,1]=>[1,7,6,3,4,2,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [5,8,2,3,1,6,7,4]=>[4,7,6,1,3,2,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [2,4,8,6,1,3,7,5]=>[5,7,3,1,6,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,7,1,8,4,3,5,2]=>[2,5,3,4,8,1,7,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [2,7,8,4,1,6,3,5]=>[5,3,6,1,4,8,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,1,7,6,3,8,2,5]=>[5,2,8,3,6,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,8,2,5,7,6,3,1]=>[1,3,6,7,5,2,8,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,3,1,1]=>1 [3,4,6,5,1,8,2,7]=>[7,2,8,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,5,3,4,1,8,7]=>[7,8,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,3,5,1,4,8,7]=>[7,8,4,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,7,5,1,8,4,3]=>[3,4,8,1,5,7,6,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [8,6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,5,1,8,3,4,7]=>[7,4,3,8,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,6,5,2,8,3,4,1]=>[1,4,3,8,2,5,6,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [7,4,6,8,5,3,2,1]=>[1,2,3,5,8,6,4,7]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,2,3]=>1 [8,1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [3,8,5,1,6,7,2,4]=>[4,2,7,6,1,5,8,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,2,3,8,6,7,4,1]=>[1,4,7,6,8,3,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [5,1,3,8,6,7,4,2]=>[2,4,7,6,8,3,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [8,1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,6,2,8,5,1,4,3]=>[3,4,1,5,8,2,6,7]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [3,4,8,7,5,1,6,2]=>[2,6,1,5,7,8,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [6,3,8,1,4,2,5,7]=>[7,5,2,4,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,8,5,7,4,1,2]=>[2,1,4,7,5,8,3,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [7,4,6,8,5,1,3,2]=>[2,3,1,5,8,6,4,7]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [7,1,5,8,2,6,4,3]=>[3,4,6,2,8,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [4,5,8,2,6,7,3,1]=>[1,3,7,6,2,8,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [2,5,8,4,6,7,3,1]=>[1,3,7,6,4,8,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [2,4,8,1,6,7,3,5]=>[5,3,7,6,1,8,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,4,8,7,2,1,5,6]=>[6,5,1,2,7,8,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [7,8,5,3,6,4,2,1]=>[1,2,4,6,3,5,8,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,2,2,2]=>1 [2,8,5,7,4,1,3,6]=>[6,3,1,4,7,5,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,2,7,3,8,4,1,5]=>[5,1,4,8,3,7,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,4,3,2,8,5,1,6]=>[6,1,5,8,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,2,8,4,6,1,7]=>[7,1,6,4,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,4,2,5,3,1,6,8]=>[8,6,1,3,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,8,3,2,6,1,7]=>[7,1,6,2,3,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,5,8,2,4,6,1,7]=>[7,1,6,4,2,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,4,7,8,2,3,1,5]=>[5,1,3,2,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [5,8,3,6,4,2,1,7]=>[7,1,2,4,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,5,3,2,8,4,7,6]=>[6,7,4,8,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,1,2,7,3,8,5,4]=>[4,5,8,3,7,2,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [5,1,3,2,8,7,4,6]=>[6,4,7,8,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,8,4,2,7,6,5,3]=>[3,5,6,7,2,4,8,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,2,1,1,1]=>3 [1,8,3,7,2,6,5,4]=>[4,5,6,2,7,3,8,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [5,1,4,8,3,7,2,6]=>[6,2,7,3,8,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,1,5,7,8,2,4,3]=>[3,4,2,8,7,5,1,6]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [3,7,6,1,5,2,4,8]=>[8,4,2,5,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,8,3,2,7,6]=>[6,7,2,3,8,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,3,6,1,2,5,4,8]=>[8,4,5,2,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,7,1,3,2,6,8]=>[8,6,2,3,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,8,2,1,3,6]=>[6,3,1,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,6,8,2,5,1,3,7]=>[7,3,1,5,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,4,6,2,1,5,3,8]=>[8,3,5,1,2,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,3,8,5,7,4]=>[4,7,5,8,3,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,5,2,6,8,4,7,3]=>[3,7,4,8,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,7,2,3,8,1,4,6]=>[6,4,1,8,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,4,7,5,8,1,2,3]=>[3,2,1,8,5,7,4,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [7,4,8,5,1,6,3,2]=>[2,3,6,1,5,8,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [5,8,3,6,1,7,4,2]=>[2,4,7,1,6,3,8,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [8,6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [7,4,2,1,5,8,6,3]=>[3,6,8,5,1,2,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,6,4,1,8,5,2,3]=>[3,2,5,8,1,4,6,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [1,6,4,8,7,5,3,2]=>[2,3,5,7,8,4,6,1]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,2,2,1]=>2 [6,3,1,2,8,4,7,5]=>[5,7,4,8,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,7,1,2,5,8,6,3]=>[3,6,8,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [6,8,4,1,2,7,5,3]=>[3,5,7,2,1,4,8,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [7,5,8,1,2,6,4,3]=>[3,4,6,2,1,8,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [7,4,8,1,6,3,5,2]=>[2,5,3,6,1,8,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [5,8,2,1,7,3,6,4]=>[4,6,3,7,1,2,8,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [3,6,1,8,2,4,7,5]=>[5,7,4,2,8,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,4,1,8,7,3,2,6]=>[6,2,3,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [7,6,8,1,5,4,2,3]=>[3,2,4,5,1,8,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [8,6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6,8]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,1,2,1]=>2 [7,1,5,8,6,4,3,2]=>[2,3,4,6,8,5,1,7]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,2,2]=>2 [5,1,8,7,3,6,4,2]=>[2,4,6,3,7,8,1,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [3,1,8,7,6,5,2,4]=>[4,2,5,6,7,8,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [1,6,4,5,2,3,7,8]=>[8,7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,4,5,2,3,6,8]=>[8,6,3,2,5,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,5,2,4,6,8]=>[8,6,4,2,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,5,2,4,7,8]=>[8,7,4,2,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,4,2,5,7,8]=>[8,7,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,4,2,5,6,8]=>[8,6,5,2,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,7,3,4,2,5]=>[5,2,4,3,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [1,8,5,7,3,4,2,6]=>[6,2,4,3,7,5,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [1,7,3,4,2,6,5,8]=>[8,5,6,2,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,8,4,7,3,6]=>[6,3,7,4,8,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,4,2,8,5,7,3,6]=>[6,3,7,5,8,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,7,3,5,2,6,4,8]=>[8,4,6,2,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,4,7,3,5,2,6]=>[6,2,5,3,7,4,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [1,7,3,6,2,5,4,8]=>[8,4,5,2,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,6,2,4,5,8]=>[8,5,4,2,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,4,6,2,3,5,8]=>[8,5,3,2,6,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,5,6,2,3,4,7]=>[7,4,3,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,5,6,2,4,3,7]=>[7,3,4,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,3,2,8,5,6,4,7]=>[7,4,6,5,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,2,8,5,6,3,7]=>[7,3,6,5,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,2,8,4,6,3,7]=>[7,3,6,4,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,2,8,4,5,3,7]=>[7,3,5,4,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [9,1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [8,1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,3,4,6,5,7,8,9,1]=>[1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [10,1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [2,3,4,5,7,6,8,9,10,1]=>[1,10,9,8,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [7,8,9,10,5,6,1,2,3,4]=>[4,3,2,1,6,5,10,9,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,2,4]=>4 [8,6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [5,4,8,2,3,6,1,7]=>[7,1,6,3,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,8,6,2,3,5,1,7]=>[7,1,5,3,2,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,7,4,1,2,3,6]=>[6,3,2,1,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [6,8,5,3,4,1,2,7]=>[7,2,1,4,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,3,7,2,1,4,5]=>[5,4,1,2,7,3,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [6,1,3,7,4,8,2,5]=>[5,2,8,4,7,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,1,6,4,8,2,3,5]=>[5,3,2,8,4,6,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,1,5,8,2,3,4,7]=>[7,4,3,2,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,4,8,6,1,2,3,5]=>[5,3,2,1,6,8,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [3,7,6,1,2,4,5,8]=>[8,5,4,2,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,1,2,3,5,8]=>[8,5,3,2,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,8,2,3,4,7]=>[7,4,3,2,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [7,6,4,8,2,1,3,5]=>[5,3,1,2,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,6,2,3,8,1,4,5]=>[5,4,1,8,3,2,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,4,8,5,1,6,2,3]=>[3,2,6,1,5,8,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [8,6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,7,2,8,6,3,4,5]=>[5,4,3,6,8,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,6,1,3,8,2,4,5]=>[5,4,2,8,3,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,5,8,1,3,6,2,4]=>[4,2,6,3,1,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,4,1,8,2,3,6,7]=>[7,6,3,2,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,8,7,2,3,4,6]=>[6,4,3,2,7,8,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,7,1,3,8,2,4,6]=>[6,4,2,8,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,6,8,1,5,2,3,4]=>[4,3,2,5,1,8,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [7,1,5,8,6,2,3,4]=>[4,3,2,6,8,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,1,8,2,7,3,4,5]=>[5,4,3,7,2,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [4,1,8,7,2,3,5,6]=>[6,5,3,2,7,8,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,1,8,7,2,3,4,6]=>[6,4,3,2,7,8,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,8,7,6,4,5,3,2]=>[2,3,5,4,6,7,8,1]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>2 [9,8,7,6,4,5,3,2,1,10]=>[10,1,2,3,5,4,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,7,6,4,3,5,2,1,9]=>[9,1,2,5,3,4,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,6,3,5,4,2,1,9]=>[9,1,2,4,5,3,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,9,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,9,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,1,3,1,1,1]=>2 [1,8,7,3,6,5,4,2]=>[2,4,5,6,3,7,8,1]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>2 [1,9,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,9,1]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>2 [1,10,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,10,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1,1]=>2 [7,1,5,8,3,4,2,6]=>[6,2,4,3,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,1,4,3,2,5,6,8]=>[8,6,5,2,3,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,7,5,8,3,6]=>[6,3,8,5,7,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,1,4,6,3,8,2,5]=>[5,2,8,3,6,4,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,1,4,3,2,5,8,6]=>[6,8,5,2,3,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,4,6,5,3,8,2]=>[2,8,3,5,6,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,2,7,5,3,8,1]=>[1,8,3,5,7,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,7,2,6,8,5,1]=>[1,5,8,6,2,7,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,4,7,1,6,8,5,2]=>[2,5,8,6,1,7,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [6,4,2,3,8,5,1,7]=>[7,1,5,8,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,2,7,5,8,1,3]=>[3,1,8,5,7,2,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,4,2,7,5,3,1,8]=>[8,1,3,5,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,2,6,8,1,5]=>[5,1,8,6,2,7,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,7,3,6,8,2,1]=>[1,2,8,6,3,7,4,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,8,3,2,5,6,1,7]=>[7,1,6,5,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,7,3,5,1,2,6]=>[6,2,1,5,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,8,3,1,2,6,5,7]=>[7,5,6,2,1,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,4,7,1,6,2,8,5]=>[5,8,2,6,1,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,7,2,6,5,8,1]=>[1,8,5,6,2,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,8,3,1,2,6,7,5]=>[5,7,6,2,1,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,8,1,6,3,4,2,7]=>[7,2,4,3,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,3,4,2,6,7,1]=>[1,7,6,2,4,3,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [5,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,3,7,5,1,2,8]=>[8,2,1,5,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,7,5,1,8,2]=>[2,8,1,5,7,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,8,3,2,1,6,4,7]=>[7,4,6,1,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,7,4,3,1,2,6]=>[6,2,1,3,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,4,7,3,6,2,1,8]=>[8,1,2,6,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,8,2,1,6,5,4]=>[4,5,6,1,2,8,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,4,3,8,5,2,1,6]=>[6,1,2,5,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,5,2,8,4,3,1,7]=>[7,1,3,4,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,2,8,6,5,1,7]=>[7,1,5,6,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,8,7,5,1,6,2]=>[2,6,1,5,7,8,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [3,2,5,8,6,1,4,7]=>[7,4,1,6,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [4,3,7,8,5,1,2,6]=>[6,2,1,5,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,3,7,8,4,1,2,6]=>[6,2,1,4,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,2,5,8,3,1,4,7]=>[7,4,1,3,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,2,4,8,3,1,5,7]=>[7,5,1,3,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,3,8,4,1,6,7]=>[7,6,1,4,8,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,8,7,4,1,6,2]=>[2,6,1,4,7,8,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [5,3,2,8,6,4,1,7]=>[7,1,4,6,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,5,3,8,4,2,1,6]=>[6,1,2,4,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7,8]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [8,6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6,8]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,3,3,1]=>1 [7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [6,4,5,3,8,2,7,1]=>[1,7,2,8,3,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [7,4,6,3,8,2,5,1]=>[1,5,2,8,3,6,4,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,5,6,3,8,2,4,1]=>[1,4,2,8,3,6,5,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [8,5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5,8]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,3,3,1]=>1 [7,4,6,3,5,2,8,1]=>[1,8,2,5,3,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [8,5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [7,5,8,4,3,2,6,1]=>[1,6,2,3,4,8,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [6,5,8,4,3,2,7,1]=>[1,7,2,3,4,8,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,5,8,3,4,2,7,1]=>[1,7,2,4,3,8,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,5,8,3,4,2,6,1]=>[1,6,2,4,3,8,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [7,4,8,3,5,2,6,1]=>[1,6,2,5,3,8,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [6,4,8,3,5,2,7,1]=>[1,7,2,5,3,8,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [6,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,1]=>1 [6,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,4,1]=>1 [6,4,7,3,8,2,5,1]=>[1,5,2,8,3,7,4,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [5,4,7,3,8,2,6,1]=>[1,6,2,8,3,7,4,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,4,6,3,8,2,7,1]=>[1,7,2,8,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,3,6,2,4,7,8,1]=>[1,8,7,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,6,1,4,8,7,2]=>[2,7,8,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,3,7,2,4,6,8,1]=>[1,8,6,4,2,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,3,1,5,6,8,7,2]=>[2,7,8,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [4,2,1,5,8,6,3,7]=>[7,3,6,8,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,1,5,8,6,7,3]=>[3,7,6,8,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,2,1,5,8,7,6,3]=>[3,6,7,8,5,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [4,3,1,5,7,8,6,2]=>[2,6,8,7,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,3,1,7,5,8,6,2]=>[2,6,8,5,7,1,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [6,7,3,1,4,8,2,5]=>[5,2,8,4,1,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,3,7,1,4,8,2,6]=>[6,2,8,4,1,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,3,1,5,7,8,2,6]=>[6,2,8,7,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,2,1,8,5,4,6,7]=>[7,6,4,5,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,1,8,5,7,4,6]=>[6,4,7,5,8,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,2,1,8,7,5,4,6]=>[6,4,5,7,8,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,2,7,1,8,4,3,6]=>[6,3,4,8,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,7,2,1,8,4,3,5]=>[5,3,4,8,1,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,7,2,1,8,4,5,3]=>[3,5,4,8,1,2,7,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,2,1,8,5,6,4,7]=>[7,4,6,5,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,1,8,6,5,4,7]=>[7,4,5,6,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,1,6,7,8,5,2]=>[2,5,8,7,6,1,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,2,1,6,8,7,5,3]=>[3,5,7,8,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [4,2,1,6,8,5,3,7]=>[7,3,5,8,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,6,1,8,4,3,7]=>[7,3,4,8,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,6,1,8,7,4,3]=>[3,4,7,8,1,6,2,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [5,2,6,1,8,7,3,4]=>[4,3,7,8,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,2,6,1,8,3,4,7]=>[7,4,3,8,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,1,6,8,3,7,5]=>[5,7,3,8,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,3,1,6,7,8,2,5]=>[5,2,8,7,6,1,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,7,3,1,5,8,2,4]=>[4,2,8,5,1,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,2,1,7,8,6,3,5]=>[5,3,6,8,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,2,1,8,7,6,4,5]=>[5,4,6,7,8,1,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [3,2,1,8,6,4,7,5]=>[5,7,4,6,8,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,2,1,8,6,4,5,7]=>[7,5,4,6,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,1,8,4,6,5,7]=>[7,5,6,4,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,1,8,4,6,7,5]=>[5,7,6,4,8,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,2,1,8,4,7,6,5]=>[5,6,7,4,8,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [3,2,1,8,7,4,6,5]=>[5,6,4,7,8,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,2,1,7,8,3,6,5]=>[5,6,3,8,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,2,7,1,8,3,6,4]=>[4,6,3,8,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,7,2,1,8,3,5,4]=>[4,5,3,8,1,2,7,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [5,2,7,1,8,3,4,6]=>[6,4,3,8,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,2,1,7,8,3,5,6]=>[6,5,3,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,2,1,8,4,5,7,6]=>[6,7,5,4,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,5,2,8,6,3,4,1]=>[1,4,3,6,8,2,5,7]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [7,4,8,6,2,5,3,1]=>[1,3,5,2,6,8,4,7]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,2,1,2]=>1 [7,3,8,6,2,4,5,1]=>[1,5,4,2,6,8,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [7,4,3,1,8,2,5,6]=>[6,5,2,8,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,2,8,5,6,1,3]=>[3,1,6,5,8,2,4,7]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,3,8,5,2,4,6,1]=>[1,6,4,2,5,8,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [7,3,8,4,5,6,2,1]=>[1,2,6,5,4,8,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [6,3,8,2,4,5,1,7]=>[7,1,5,4,2,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,8,2,5,7,4,1]=>[1,4,7,5,2,8,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,4,3,8,1,5,2,7]=>[7,2,5,1,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,7,8,2,4,1,5]=>[5,1,4,2,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [5,6,7,3,8,2,4,1]=>[1,4,2,8,3,7,6,5]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [5,4,7,2,6,8,1,3]=>[3,1,8,6,2,7,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,3,8,2,4,6,7,1]=>[1,7,6,4,2,8,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,3,8,2,4,7,5,1]=>[1,5,7,4,2,8,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [5,7,4,2,6,8,1,3]=>[3,1,8,6,2,4,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,4,8,2,7,5,1,3]=>[3,1,5,7,2,8,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [6,5,3,1,4,2,7,8]=>[8,7,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,2,6,1,3,8]=>[8,3,1,6,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,2,3,8,1,7]=>[7,1,8,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,3,7,8,2,4,1]=>[1,4,2,8,7,3,6,5]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [5,6,3,8,2,4,7,1]=>[1,7,4,2,8,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,3,7,2,4,5,1,8]=>[8,1,5,4,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,7,2,5,8,4,1]=>[1,4,8,5,2,7,3,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,3,6,8,2,4,7,1]=>[1,7,4,2,8,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,3,6,7,8,2,4,1]=>[1,4,2,8,7,6,3,5]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [3,5,8,6,4,2,1,7]=>[7,1,2,4,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,3,4,2,1,8,7]=>[7,8,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,4,2,1,5,8,7]=>[7,8,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,6,4,2,1,3,8,7]=>[7,8,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,3,8,5,4,1,7]=>[7,1,4,5,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,8,6,3,5,4,1,7]=>[7,1,4,5,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,6,4,2,1,3,7]=>[7,3,1,2,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,8,6,3,5,4,1]=>[1,4,5,3,6,8,7,2]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [4,3,8,5,7,6,2,1]=>[1,2,6,7,5,8,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,4,1,1]=>1 [2,5,6,3,8,4,1,7]=>[7,1,4,8,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,7,8,5,6,4,2,1]=>[1,2,4,6,5,8,7,3]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,2,2,2]=>1 [3,6,4,2,1,8,5,7]=>[7,5,8,1,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,8,6,4,2,1,5,7]=>[7,5,1,2,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5,8]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [7,6,2,3,8,5,4,1]=>[1,4,5,8,3,2,6,7]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [2,1,6,4,3,7,8,5]=>[5,8,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,2,1,3,7,8,5]=>[5,8,7,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,3,7,8,4,2,1,5]=>[5,1,2,4,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,8,4,2,1,6,3,5]=>[5,3,6,1,2,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [2,6,1,8,4,3,7,5]=>[5,7,3,4,8,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [8,5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5,8]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [4,8,5,7,6,2,1,3]=>[3,1,2,6,7,5,8,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [7,5,6,1,8,4,2,3]=>[3,2,4,8,1,6,5,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [6,4,7,8,3,2,1,5]=>[5,1,2,3,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,6,5,8,4,3,2,1,9]=>[9,1,2,3,4,8,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,6,5,4,3,8,2,1,9]=>[9,1,2,8,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,6,5,4,3,2,8,1,9]=>[9,1,8,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,9,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,9,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,1,1]=>7 [8,7,9,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,9,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,7,6,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,4,3,7,5,2,1,8]=>[8,1,2,5,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,2,8,4,1,7]=>[7,1,4,8,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,7,6,5,4,9,3,2,1,10]=>[10,1,2,3,9,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,5,2,7,8,4,1,3]=>[3,1,4,8,7,2,5,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,7,6,5,4,3,9,2,1,10]=>[10,1,2,9,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,10,9,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,10,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[8,1,1]=>8 [6,5,8,7,4,3,2,1,9]=>[9,1,2,3,4,7,8,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,9,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,9,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[6,1,1,1]=>6 [6,4,3,2,5,8,1,7]=>[7,1,8,5,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,7,2,5,4,1,8]=>[8,1,4,5,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,7,5,4,1,8]=>[8,1,4,5,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,5,3,7,4,2,8,6]=>[6,8,2,4,7,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,6,7,3,4,2,8,5]=>[5,8,2,4,3,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [1,7,6,3,4,2,8,5]=>[5,8,2,4,3,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,8,6,3,2,5,7,4]=>[4,7,5,2,3,6,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [7,8,5,2,1,4,6,3]=>[3,6,4,1,2,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [6,8,5,2,3,1,7,4]=>[4,7,1,3,2,5,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,8,6,2,3,1,7,4]=>[4,7,1,3,2,6,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,8,2,6,3,1,7,5]=>[5,7,1,3,6,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,2,8,6,4,1,7,5]=>[5,7,1,4,6,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,2,1,7,5,4,8,6]=>[6,8,4,5,7,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,3,7,5,2,8,6]=>[6,8,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,7,3,4,2,8,6]=>[6,8,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,6,3,2,5,8,4]=>[4,8,5,2,3,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,7,4,3,6,8,5]=>[5,8,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,8,2,4,5,7,3]=>[3,7,5,4,2,8,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,1,8,3,2,6,7,4]=>[4,7,6,2,3,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,2,8,7,1,5,6,4]=>[4,6,5,1,7,8,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,8,2,7,1,5,6,3]=>[3,6,5,1,7,2,8,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [5,8,7,2,1,4,6,3]=>[3,6,4,1,2,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [6,8,7,1,3,4,5,2]=>[2,5,4,3,1,7,8,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,2,1]=>2 [7,8,6,1,3,4,5,2]=>[2,5,4,3,1,6,8,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,3,1,2]=>2 [1,7,8,2,4,5,6,3]=>[3,6,5,4,2,8,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [8,6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6,8]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,3,2,1]=>2 [7,6,8,1,3,4,5,2]=>[2,5,4,3,1,8,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [6,5,8,2,3,1,7,4]=>[4,7,1,3,2,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,6,8,3,2,5,7,4]=>[4,7,5,2,3,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [8,4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [7,4,2,8,1,5,6,3]=>[3,6,5,1,8,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [6,4,2,8,3,1,7,5]=>[5,7,1,3,8,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,4,2,3,8,1,7,6]=>[6,7,1,8,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,5,2,3,1,6,8,7]=>[7,8,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,4,2,1,3,6,8,5]=>[5,8,6,3,1,2,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,5,3,2,4,7,8,6]=>[6,8,7,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,6,1,3,4,2,8,7]=>[7,8,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,2,1,5,3,8,7]=>[7,8,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,7,2,1,3,6,8,5]=>[5,8,6,3,1,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,1,3,2,6,8,4]=>[4,8,6,2,3,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,7,1,2,4,5,8,3]=>[3,8,5,4,2,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [1,8,2,3,5,6,7,4]=>[4,7,6,5,3,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [7,8,1,2,4,5,6,3]=>[3,6,5,4,2,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [5,8,1,3,2,6,7,4]=>[4,7,6,2,3,1,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,8,2,1,3,6,7,5]=>[5,7,6,3,1,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,1,3,2,5,7,8,6]=>[6,8,7,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,2,4,3,7,8,6]=>[6,8,7,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,8,1,2,3,7,6]=>[6,7,3,2,1,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,4,7,6,3,2,5,8]=>[8,5,2,3,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,3,2,7,6,1,5]=>[5,1,6,7,2,3,8,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,4,7,3,6,2,5,8]=>[8,5,2,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,1,8,7,3,2,5,6]=>[6,5,2,3,7,8,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,7,8,1,2,5,3,6]=>[6,3,5,2,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [3,4,2,7,1,6,8,5]=>[5,8,6,1,7,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,6,7,4,1,8,5]=>[5,8,1,4,7,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,7,8,4,2,5,6]=>[6,5,2,4,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,1,3,2,8,7,5,6]=>[6,5,7,8,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,7,8,2,6,4,1,5]=>[5,1,4,6,2,8,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,2,3,8,1,6,7,5]=>[5,7,6,1,8,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,7,2,4,8,6,1,5]=>[5,1,6,8,4,2,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,2,7,4,8,1,6,5]=>[5,6,1,8,4,7,2,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,3,6,4,7,2,5,8]=>[8,5,2,7,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,5,8,2,3,6]=>[6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,7,4,8,2,5,6]=>[6,5,2,8,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,6,7,3,8,4,1,5]=>[5,1,4,8,3,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7,8]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [8,6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6,8]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,3,3,1]=>1 [7,4,8,5,6,3,2,1]=>[1,2,3,6,5,8,4,7]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,3,2]=>1 [3,4,6,7,8,5,1,2]=>[2,1,5,8,7,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [1,2,6,4,7,5,8,3]=>[3,8,5,7,4,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,7,5,4,2,6,8]=>[8,6,2,4,5,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,8,5,4,7,1,2]=>[2,1,7,4,5,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,6,2,5,4,7,8,3]=>[3,8,7,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,8,2,5,6,3,7,4]=>[4,7,3,6,5,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,2,6,4,8,5,7,3]=>[3,7,5,8,4,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,8,3,1,4,2,5,6]=>[6,5,2,4,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [4,8,1,5,2,3,6,7]=>[7,6,3,2,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,4,1,5,2,3,6,8]=>[8,6,3,2,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,8,4,3,2,7]=>[7,2,3,4,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,1,8,6,4,3,2,7]=>[7,2,3,4,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,6,3,8,7,2,4]=>[4,2,7,8,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,1,2,5,8,3,7,4]=>[4,7,3,8,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,1,8,7,4,3,2,5]=>[5,2,3,4,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [7,1,2,5,4,8,6,3]=>[3,6,8,4,5,2,1,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,2,7,5,8,3,6,4]=>[4,6,3,8,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [4,1,6,3,7,5,2,8]=>[8,2,5,7,3,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,7,8,5,2,4]=>[4,2,5,8,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,2,6,4,7,8,5,3]=>[3,5,8,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [4,1,6,3,7,8,2,5]=>[5,2,8,7,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,6,4,8,2,7,5]=>[5,7,2,8,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,8,4,1,6,3,2,5]=>[5,2,3,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [4,1,6,3,8,7,2,5]=>[5,2,7,8,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,5,1,8,4,3,2,6]=>[6,2,3,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,5,1,7,4,3,2,8]=>[8,2,3,4,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,8,5,2,3,7,6]=>[6,7,3,2,5,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,1,6,8,3,7,2,5]=>[5,2,7,3,8,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,4,6,1,3,8,2,7]=>[7,2,8,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,8,1,4,3,2,7]=>[7,2,3,4,1,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,3,5,7,6,8,2,4]=>[4,2,8,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,3,5,7,6,2,8,4]=>[4,8,2,6,7,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,5,7,2,6,8,4]=>[4,8,6,2,7,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,5,2,7,6,4,8]=>[8,4,6,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,7,6,2,4,8]=>[8,4,2,6,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,7,4,6,8,2]=>[2,8,6,4,7,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,5,7,4,6,2,8]=>[8,2,6,4,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,7,4,2,6,8]=>[8,6,2,4,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,4,7,2,6,8]=>[8,6,2,7,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,4,7,8,2,6]=>[6,2,8,7,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,4,7,2,8,6]=>[6,8,2,7,4,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,7,4,2,8,6]=>[6,8,2,4,7,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,7,4,8,2,6]=>[6,2,8,4,7,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,7,4,8,6,2]=>[2,6,8,4,7,5,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,3,5,7,8,4,6,2]=>[2,6,4,8,7,5,3,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,3,5,7,8,4,2,6]=>[6,2,4,8,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,5,2,7,8,6,4]=>[4,6,8,7,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,3,5,7,2,8,6,4]=>[4,6,8,2,7,5,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,3,5,7,8,2,6,4]=>[4,6,2,8,7,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,6,3,2,7,4,8,5]=>[5,8,4,7,2,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,5,1,6,2,8,7,4]=>[4,7,8,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [1,3,7,2,5,4,8,6]=>[6,8,4,5,2,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,6,1,7,4,3,8,5]=>[5,8,3,4,7,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,7,3,5,2,8,6]=>[6,8,2,5,3,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,7,5,2,4,8,6]=>[6,8,4,2,5,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,5,7,4,3,8,1,6]=>[6,1,8,3,4,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,3,7,4,8,1,6]=>[6,1,8,4,7,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,7,2,3,8,6,5]=>[5,6,8,3,2,7,4,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,4,7,3,1,8,6,5]=>[5,6,8,1,3,7,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,4,6,3,8,2,7,5]=>[5,7,2,8,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,3,5,2,8,7,6,4]=>[4,6,7,8,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [1,4,7,3,8,2,6,5]=>[5,6,2,8,3,7,4,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,5,1,7,8,4,6,3]=>[3,6,4,8,7,1,5,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,2,6,7,8,1,5,4]=>[4,5,1,8,7,6,2,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,3,6,7,8,2,1,5]=>[5,1,2,8,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,5,2,7,8,4,1,6]=>[6,1,4,8,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,7,4,8,3,2,6]=>[6,2,3,8,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,1,6,8,4,7,3]=>[3,7,4,8,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,6,2,1,7,8,3,5]=>[5,3,8,7,1,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,3,6,4,7,8,2,1]=>[1,2,8,7,4,6,3,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,5,2,6,8,4,7,1]=>[1,7,4,8,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,5,4,6,8,7,1,3]=>[3,1,7,8,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,3,6,2,8,7,5,4]=>[4,5,7,8,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [1,4,6,3,8,7,2,5]=>[5,2,7,8,3,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,5,7,4,3,8,6,1]=>[1,6,8,3,4,7,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [1,5,7,2,4,8,6,3]=>[3,6,8,4,2,7,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,6,3,7,2,8,5,1]=>[1,5,8,2,7,3,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,3,6,7,8,2,5,1]=>[1,5,2,8,7,6,3,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [1,4,7,3,8,6,2,5]=>[5,2,6,8,3,7,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,5,4,7,8,6,1,3]=>[3,1,6,8,7,4,5,2]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,2,6,7,8,5,1,4]=>[4,1,5,8,7,6,2,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,3,7,2,8,6,5,4]=>[4,5,6,8,2,7,3,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [5,3,7,8,2,4,1,6]=>[6,1,4,2,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,3,1,5,8,2,4,7]=>[7,4,2,8,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,4,8,1,5,6,7]=>[7,6,5,1,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,2,4,8,3,1,5,6]=>[6,5,1,3,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,3,8,7,2,4,1,6]=>[6,1,4,2,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,4,8,7,3,1,5,6]=>[6,5,1,3,7,8,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,6,8,7,2,3,1,5]=>[5,1,3,2,7,8,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [6,4,8,7,2,3,1,5]=>[5,1,3,2,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [3,1,7,4,2,8,6,5]=>[5,6,8,2,4,7,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [5,7,6,8,2,3,1,4]=>[4,1,3,2,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [4,7,6,8,2,3,1,5]=>[5,1,3,2,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [8,6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [2,3,7,8,4,1,6,5]=>[5,6,1,4,8,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,7,4,8,2,5,1,6]=>[6,1,5,2,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,7,8,6,2,3,1,5]=>[5,1,3,2,6,8,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [6,3,1,7,4,2,8,5]=>[5,8,2,4,7,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,1,6,4,2,3,8,5]=>[5,8,3,2,4,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,7,6,4,2,8,5]=>[5,8,2,4,6,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,8,7,6,2,3,1,5]=>[5,1,3,2,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [6,8,7,5,2,3,1,4]=>[4,1,3,2,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [4,3,6,5,1,8,7,2]=>[2,7,8,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [4,6,3,1,5,8,7,2]=>[2,7,8,5,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [4,1,6,5,3,8,7,2]=>[2,7,8,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [2,6,5,3,1,8,7,4]=>[4,7,8,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [2,6,5,8,1,7,3,4]=>[4,3,7,1,8,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,5,8,1,3,7,4]=>[4,7,3,1,8,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,5,8,3,1,7,4]=>[4,7,1,3,8,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,6,1,5,8,3,7,2]=>[2,7,3,8,5,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,1,6,5,8,3,7,2]=>[2,7,3,8,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,4,6,5,8,3,7,2]=>[2,7,3,8,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,1,6,5,8,7,3,2]=>[2,3,7,8,5,6,1,4]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [6,4,3,8,7,1,5,2]=>[2,5,1,7,8,3,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [6,4,8,3,7,1,5,2]=>[2,5,1,7,3,8,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [2,6,8,5,3,7,1,4]=>[4,1,7,3,5,8,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,6,8,1,5,7,3,2]=>[2,3,7,5,1,8,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [4,1,6,8,5,7,3,2]=>[2,3,7,5,8,6,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>2 [2,6,8,5,3,1,7,4]=>[4,7,1,3,5,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,6,8,5,1,7,3,4]=>[4,3,7,1,5,8,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,6,8,3,5,1,7,2]=>[2,7,1,5,3,8,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,6,8,3,1,5,7,2]=>[2,7,5,1,3,8,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,6,3,1,8,5,7,2]=>[2,7,5,8,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,6,3,8,1,5,7,2]=>[2,7,5,1,8,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,6,3,8,5,7,1,2]=>[2,1,7,5,8,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,3,6,8,1,5,7,2]=>[2,7,5,1,8,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,3,6,1,8,5,7,2]=>[2,7,5,8,1,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,1,3,6,8,7,5,2]=>[2,5,7,8,6,3,1,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [4,3,6,1,8,7,5,2]=>[2,5,7,8,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [4,3,6,8,1,7,5,2]=>[2,5,7,1,8,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [6,2,5,8,7,1,3,4]=>[4,3,1,7,8,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [6,2,5,8,7,3,1,4]=>[4,1,3,7,8,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [4,6,3,8,1,7,5,2]=>[2,5,7,1,8,3,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [4,1,6,3,8,7,5,2]=>[2,5,7,8,3,6,1,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [4,6,8,1,3,7,5,2]=>[2,5,7,3,1,8,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,2,8,5,7,3,1,4]=>[4,1,3,7,5,8,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [6,2,8,5,7,1,3,4]=>[4,3,1,7,5,8,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [1,6,4,8,7,3,5,2]=>[2,5,3,7,8,4,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [2,3,4,5,6,8,9,7,1]=>[1,7,9,8,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,6,2]=>1 [2,3,4,7,1,8,6,5]=>[5,6,8,1,7,4,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,3,4,5,7,8,9,6,1]=>[1,6,9,8,7,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,5,3]=>1 [2,3,5,6,7,8,9,4,1]=>[1,4,9,8,7,6,5,3,2]=>[1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,5]=>1 [2,4,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,6]=>1 [2,3,4,5,6,7,9,10,8,1]=>[1,8,10,9,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,7,2]=>1 [2,3,4,7,8,5,6,1]=>[1,6,5,8,7,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [2,3,4,5,6,8,9,10,7,1]=>[1,7,10,9,8,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,6,3]=>1 [2,3,6,7,4,8,5,1]=>[1,5,8,4,7,6,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [2,5,6,3,7,8,1,4]=>[4,1,8,7,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,3,7,1,4,8,6,5]=>[5,6,8,4,1,7,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,3,4,6,7,8,9,10,5,1]=>[1,5,10,9,8,7,6,4,3,2]=>[1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,4,5]=>1 [2,6,1,3,7,8,5,4]=>[4,5,8,7,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,3,5,6,7,8,9,10,4,1]=>[1,4,10,9,8,7,6,5,3,2]=>[1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,6]=>1 [4,1,5,6,7,8,9,3,2]=>[2,3,9,8,7,6,5,1,4]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,6]=>2 [2,3,4,5,6,7,10,1,8,9]=>[9,8,1,10,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,3,4,5,6,7,8,10,11,9,1]=>[1,9,11,10,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,8,2]=>1 [2,3,4,5,6,7,9,10,11,8,1]=>[1,8,11,10,9,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,7,3]=>1 [2,5,6,7,4,8,1,3]=>[3,1,8,4,7,6,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,3,7,8,4,5,6,1]=>[1,6,5,4,8,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [2,6,7,3,4,8,5,1]=>[1,5,8,4,3,7,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,1,5,6,7,8,9,10,2,3]=>[3,2,10,9,8,7,6,5,1,4]=>[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,7]=>3 [1,7,3,2,8,5,4,6]=>[6,4,5,8,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,7,3,2,5,8,4,6]=>[6,4,8,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,2,7,5,4,8,6]=>[6,8,4,5,7,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,4,2,5,3,7,1,8]=>[8,1,7,3,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,7,6,2,3,1,8]=>[8,1,3,2,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,4,8,2,1,5,7]=>[7,5,1,2,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,2,8,5,3,4,7]=>[7,4,3,5,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,2,3,7,5,1,8]=>[8,1,5,7,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,7,4,6,1,8]=>[8,1,6,4,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,6,4,7,1,8]=>[8,1,7,4,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,3,5,7,1,8]=>[8,1,7,5,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,1,6,8,4,7]=>[7,4,8,6,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,6,8,4,3,7]=>[7,3,4,8,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,7,2,8,4,3,6]=>[6,3,4,8,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,6,8,4,2,1,5,7]=>[7,5,1,2,4,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,2,6,1,8,5,7]=>[7,5,8,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,8,2,7,4,3,6]=>[6,3,4,7,2,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,7,2,3,4,8,6,5]=>[5,6,8,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,3,1,8,4,5,7,6]=>[6,7,5,4,8,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,8,1,4,3,5,2,6]=>[6,2,5,3,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,1,2,3,4,6,8,5]=>[5,8,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,2,3,4,8,7,5]=>[5,7,8,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,8,2,1,6,5,4,7]=>[7,4,5,6,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,8,3,5,4,2,6]=>[6,2,4,5,3,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,4,1,8,3,5,2,6]=>[6,2,5,3,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,3,2,5,1,8,6,7]=>[7,6,8,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,1,2,8,5,3,4,7]=>[7,4,3,5,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,2,1,8,4,5,7]=>[7,5,4,8,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,7,8,4,3,5,1,6]=>[6,1,5,3,4,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,8,3,5,4,2,6]=>[6,2,4,5,3,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,8,2,3,4,6,1,5]=>[5,1,6,4,3,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,7,1,3,4,8,2,5]=>[5,2,8,4,3,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,6,2,3,4,8,7,5]=>[5,7,8,4,3,2,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,6,2,3,4,1,8,5]=>[5,8,1,4,3,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [6,7,2,3,4,1,8,5]=>[5,8,1,4,3,2,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,6,2,3,4,8,1,5]=>[5,1,8,4,3,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,4,8,7,5,1,2]=>[2,1,5,7,8,4,3,6]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [4,8,7,3,5,6,1,2]=>[2,1,6,5,3,7,8,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [4,8,7,5,3,6,1,2]=>[2,1,6,3,5,7,8,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [5,8,7,3,4,6,1,2]=>[2,1,6,4,3,7,8,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [5,8,4,2,1,6,7,3]=>[3,7,6,1,2,4,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,8,4,1,2,6,7,3]=>[3,7,6,2,1,4,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,3,7,2,6,1,8,4]=>[4,8,1,6,2,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,2,1,4,7,6,3]=>[3,6,7,4,1,2,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [4,8,2,5,1,7,6,3]=>[3,6,7,1,5,2,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [7,8,4,1,2,6,5,3]=>[3,5,6,2,1,4,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [4,8,1,5,2,7,6,3]=>[3,6,7,2,5,1,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,2,8,3,6,7,1,4]=>[4,1,7,6,3,8,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,8,7,6,2,4,1,5]=>[5,1,4,2,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [2,8,7,6,4,1,3,5]=>[5,3,1,4,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [7,8,2,6,5,1,3,4]=>[4,3,1,5,6,2,8,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [1,8,7,6,4,2,3,5]=>[5,3,2,4,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [2,8,7,6,3,1,4,5]=>[5,4,1,3,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [1,8,7,6,2,4,3,5]=>[5,3,4,2,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [2,8,1,4,5,6,7,3]=>[3,7,6,5,4,1,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,1,2,8,5,7,3,4]=>[4,3,7,5,8,2,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,3,1,8,5,7,2,4]=>[4,2,7,5,8,1,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,4,2,1,7,5,8,3]=>[3,8,5,7,1,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,1,3,8,5,2,7,4]=>[4,7,2,5,8,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,3,7,1,6,8,5,4]=>[4,5,8,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,3,7,2,6,8,5,4]=>[4,5,8,6,2,7,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [7,8,2,6,5,3,1,4]=>[4,1,3,5,6,2,8,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [3,2,6,7,5,8,1,4]=>[4,1,8,5,7,6,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,8,7,6,4,3,1,5]=>[5,1,3,4,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [3,8,7,6,1,2,5,4]=>[4,5,2,1,6,7,8,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [3,8,7,6,2,1,5,4]=>[4,5,1,2,6,7,8,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [4,8,7,6,2,1,3,5]=>[5,3,1,2,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,8,7,6,1,3,2,5]=>[5,2,3,1,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [3,8,7,6,4,1,2,5]=>[5,2,1,4,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [7,8,3,6,5,1,2,4]=>[4,2,1,5,6,3,8,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [3,8,7,6,4,2,1,5]=>[5,1,2,4,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,1,4,6,8,2,3,7]=>[7,3,2,8,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,7,6,3,5,4,8,2]=>[2,8,4,5,3,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,6,1,5,7,2,8]=>[8,2,7,5,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,5,8,6,3,7]=>[7,3,6,8,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,6,1,2,5,8,3,7]=>[7,3,8,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,7,2,1,4,8,3]=>[3,8,4,1,2,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,4,8,5,3,1,6,2]=>[2,6,1,3,5,8,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [6,8,5,2,4,1,7,3]=>[3,7,1,4,2,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,3,2,5,1,4,8,6]=>[6,8,4,1,5,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,8,3,4,6,7,2]=>[2,7,6,4,3,8,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,3,8,1,6,5,4,7]=>[7,4,5,6,1,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [3,5,2,4,1,7,8,6]=>[6,8,7,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,8,2,1,6,7,3,4]=>[4,3,7,6,1,2,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,3,2,8,6,4,1,5]=>[5,1,4,6,8,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,7,8,4,6,3,1,5]=>[5,1,3,6,4,8,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,4,5,7,2,6,8,3]=>[3,8,6,2,7,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,3,5,2,6,1,8,4]=>[4,8,1,6,2,5,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [2,8,6,4,3,7,1,5]=>[5,1,7,3,4,6,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,3,8,7,6,5,1,4]=>[4,1,5,6,7,8,3,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [4,2,8,7,3,6,1,5]=>[5,1,6,3,7,8,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [4,5,8,7,1,2,6,3]=>[3,6,2,1,7,8,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [1,5,8,7,3,2,6,4]=>[4,6,2,3,7,8,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,5,8,7,3,2,1,6]=>[6,1,2,3,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [3,6,8,4,7,2,1,5]=>[5,1,2,7,4,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [2,5,8,3,7,6,1,4]=>[4,1,6,7,3,8,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [3,2,8,4,7,6,1,5]=>[5,1,6,7,4,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,5,8,4,7,2,1,6]=>[6,1,2,7,4,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,6,8,2,3,7,1,4]=>[4,1,7,3,2,8,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,6,8,4,2,7,5,3]=>[3,5,7,2,4,8,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [1,5,8,2,3,7,6,4]=>[4,6,7,3,2,8,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,6,8,4,1,2,7,3]=>[3,7,2,1,4,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,6,8,4,3,2,7,5]=>[5,7,2,3,4,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,6,8,4,3,2,1,7]=>[7,1,2,3,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,1,4,8,6,2,5,3]=>[3,5,2,6,8,4,1,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [7,3,1,8,6,2,5,4]=>[4,5,2,6,8,1,3,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [7,2,4,8,3,6,1,5]=>[5,1,6,3,8,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,1,4,8,3,2,6,5]=>[5,6,2,3,8,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,4,5,8,3,2,1,6]=>[6,1,2,3,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,6,2,8,7,5,4,3]=>[3,4,5,7,8,2,6,1]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,1,2,1]=>3 [1,6,4,8,7,2,5,3]=>[3,5,2,7,8,4,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [3,2,5,8,7,6,1,4]=>[4,1,6,7,8,5,2,3]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,1,5,8,7,2,6,4]=>[4,6,2,7,8,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,1,4,8,7,2,6,5]=>[5,6,2,7,8,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,6,4,8,2,7,5,3]=>[3,5,7,2,8,4,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,4,5,8,2,7,6,3]=>[3,6,7,2,8,5,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [2,4,5,8,3,7,1,6]=>[6,1,7,3,8,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,4,5,8,3,2,7,6]=>[6,7,2,3,8,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,6,1,3,8,2,5,4]=>[4,5,2,8,3,1,6,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,6,3,4,8,2,1,5]=>[5,1,2,8,4,3,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,2,5,1,8,6,4,3]=>[3,4,6,8,1,5,2,7]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [7,2,5,3,8,6,1,4]=>[4,1,6,8,3,5,2,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,2,1,4,8,6,5,3]=>[3,5,6,8,4,1,2,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,6,5,1,8,7,4,3]=>[3,4,7,8,1,5,6,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [2,3,5,4,8,7,1,6]=>[6,1,7,8,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,6,5,4,8,2,7,3]=>[3,7,2,8,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,3,5,4,8,2,7,6]=>[6,7,2,8,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,6,5,4,8,2,1,7]=>[7,1,2,8,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,6,5,2,3,8,1,4]=>[4,1,8,3,2,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,6,1,4,2,8,5,3]=>[3,5,8,2,4,1,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,6,1,2,3,8,5,4]=>[4,5,8,3,2,1,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [7,1,5,4,2,8,6,3]=>[3,6,8,2,4,5,1,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,1,2,4,3,8,6,5]=>[5,6,8,3,4,2,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,6,5,4,3,8,1,7]=>[7,1,8,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,6,1,4,3,2,8,5]=>[5,8,2,3,4,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,2,6,7,8,1,5]=>[5,1,8,7,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,4,2,6,8,7,5]=>[5,7,8,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [8,3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,6,7,3,5,4,1,8]=>[8,1,4,5,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,8,3,5,4,1,6]=>[6,1,4,5,3,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,6,8,3,5,4,1,7]=>[7,1,4,5,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,7,1,2,8,5,3,6]=>[6,3,5,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,8,1,2,7,5,3,6]=>[6,3,5,7,2,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [2,1,6,3,7,5,4,8]=>[8,4,5,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,3,6,8,4,5]=>[5,4,8,6,3,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,7,3,2,8,1,4,5]=>[5,4,1,8,2,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,3,4,2,6,1,8,5]=>[5,8,1,6,2,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,4,1,2,8,5,3,6]=>[6,3,5,8,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,4,1,2,6,5,3,8]=>[8,3,5,6,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,1,5,6,8,2]=>[2,8,6,5,1,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,4,1,5,8,3,2]=>[2,3,8,5,1,4,7,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,7,5,1,6,8,3,2]=>[2,3,8,6,1,5,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,5,3,1,7,6,8,2]=>[2,8,6,7,1,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,1,2,7,5,3,8]=>[8,3,5,7,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,3,6,5,4,8]=>[8,4,5,6,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,8,2,6,5,3,7]=>[7,3,5,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,6,1,2,8,5,3,7]=>[7,3,5,8,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [4,5,3,1,8,6,7,2]=>[2,7,6,8,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,8,5,6,3,1,7,2]=>[2,7,1,3,6,5,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,1,3,4,8,6,7,2]=>[2,7,6,8,4,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,4,3,8,1,6,7,2]=>[2,7,6,1,8,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [8,5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [6,4,8,2,1,5,3,7]=>[7,3,5,1,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,7,3,2,5,1,4,8]=>[8,4,1,5,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,3,2,5,1,4,7]=>[7,4,1,5,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,7,1,4,6,8,3,2]=>[2,3,8,6,4,1,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,1,3,4,7,6,8,2]=>[2,8,6,7,4,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,4,2,7,5,3,8]=>[8,3,5,7,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,7,1,6,8,2]=>[2,8,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,5,4,1,8,3,2]=>[2,3,8,1,4,5,7,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [7,6,4,2,1,5,3,8]=>[8,3,5,1,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2,8]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>3 [7,2,8,6,5,4,3,1]=>[1,3,4,5,6,8,2,7]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,1,2]=>1 [8,1,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,1,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,1,2]=>2 [2,10,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,10,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>3 [9,2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2,9]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>3 [3,9,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,9,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>2 [3,2,8,7,6,5,1,4]=>[4,1,5,6,7,8,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [4,8,7,6,5,3,1,2]=>[2,1,3,5,6,7,8,4]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>2 [7,8,6,1,5,4,3,2]=>[2,3,4,5,1,6,8,7]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>2 [8,9,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,9,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>2 [7,3,8,6,5,4,2,1]=>[1,2,4,5,6,8,3,7]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,2,1,1,2]=>1 [8,2,9,7,6,5,4,3,1]=>[1,3,4,5,6,7,9,2,8]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,1,1,2]=>1 [9,1,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,1,1,2]=>2 [4,8,5,7,6,3,2,1]=>[1,2,3,6,7,5,8,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,3,1,1]=>1 [2,8,7,6,3,5,4,1]=>[1,4,5,3,6,7,8,2]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>1 [8,6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,8,1,5,3,2,4,6]=>[6,4,2,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,8,3,1,5,2,4,6]=>[6,4,2,5,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,7,6,1,8,2,3,4]=>[4,3,2,8,1,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,7,2,5,1,8,3,4]=>[4,3,8,1,5,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,5,1,6,8,2,3,4]=>[4,3,2,8,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,5,7,1,8,2,3,4]=>[4,3,2,8,1,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,7,3,8,1,2,4,5]=>[5,4,2,1,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,5,4,1,8,2,3,6]=>[6,3,2,8,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,3,1,8,6,4,2,5]=>[5,2,4,6,8,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [8,4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,3,1,8,5,6,2,4]=>[4,2,6,5,8,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,2,7,8,3,1,5,4]=>[4,5,1,3,8,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,8,1,7,3,2,6,4]=>[4,6,2,3,7,1,8,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [7,4,3,8,1,2,6,5]=>[5,6,2,1,8,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [8,2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [7,8,5,2,3,6,4,1]=>[1,4,6,3,2,5,8,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,3,2,2]=>1 [6,8,5,2,3,4,7,1]=>[1,7,4,3,2,5,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,4,5,7,3,6,8,1]=>[1,8,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,5,3,6,8,1,7]=>[7,1,8,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,4,6,8,1,3,7]=>[7,3,1,8,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,3,4,6,8,2,7]=>[7,2,8,6,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,2,6,8,1,7]=>[7,1,8,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,5,7,2,8,1,6]=>[6,1,8,2,7,5,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,6,3,7,2,5,8,1]=>[1,8,5,2,7,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,1,3,4,8,2,6]=>[6,2,8,4,3,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,7,1,3,4,6,8,2]=>[2,8,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,3,5,7,2,8,1]=>[1,8,2,7,5,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,6,4,1,7,8,2]=>[2,8,7,1,4,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,6,7,3,4,8,2]=>[2,8,4,3,7,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,7,1,3,5,8,2]=>[2,8,5,3,1,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,7,3,4,5,8,2]=>[2,8,5,4,3,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,6,7,4,5,8,1,3]=>[3,1,8,5,4,7,6,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,6,7,4,8,1,3,5]=>[5,3,1,8,4,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,3,6,1,2,7,8,4]=>[4,8,7,2,1,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,2,6,7,4,8,1]=>[1,8,4,7,6,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,3,6,1,7,8,4]=>[4,8,7,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,6,1,3,7,8,4]=>[4,8,7,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,6,7,3,5,8,1]=>[1,8,5,3,7,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,7,2,4,5,8,1]=>[1,8,5,4,2,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,7,2,8,1,4,6]=>[6,4,1,8,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,2,4,6,8,1,3,5]=>[5,3,1,8,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,7,2,4,6,8,1,5]=>[5,1,8,6,4,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,5,7,2,6,8,1,4]=>[4,1,8,6,2,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,5,7,2,8,1,4]=>[4,1,8,2,7,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,5,7,2,4,8,1]=>[1,8,4,2,7,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,4,5,1,7,8,3]=>[3,8,7,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,1,2,5,6,8,3]=>[3,8,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,6,7,5,8,1,3,4]=>[4,3,1,8,5,7,6,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,4,2,6,7,3,8,1]=>[1,8,3,7,6,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,5,4,6,2,7,8,3]=>[3,8,7,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,6,4,1,2,7,8,3]=>[3,8,7,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,5,1,2,7,8,3]=>[3,8,7,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,5,1,7,8,2,4]=>[4,2,8,7,1,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,7,2,8,1,3,4]=>[4,3,1,8,2,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,4,6,3,1,7,8,2]=>[2,8,7,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,2,4,8,1,6]=>[6,1,8,4,2,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,5,4,2,1,8,3,6]=>[6,3,8,1,2,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,5,4,2,1,6,8,3]=>[3,8,6,1,2,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,6,7,3,1,4,8,2]=>[2,8,4,1,3,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,3,4,1,5,8,2]=>[2,8,5,1,4,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,4,2,1,5,8,3]=>[3,8,5,1,2,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,6,7,3,1,8,2,4]=>[4,2,8,1,3,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,3,7,2,4,8,1]=>[1,8,4,2,7,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,7,2,3,8,1,4]=>[4,1,8,3,2,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,7,3,2,4,8,1,5]=>[5,1,8,4,2,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,6,4,2,1,3,8,5]=>[5,8,3,1,2,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,6,3,4,1,2,8,5]=>[5,8,2,1,4,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,6,3,2,4,1,8,5]=>[5,8,1,4,2,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,3,2,5,1,8,4]=>[4,8,1,5,2,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,5,3,2,7,8,1,4]=>[4,1,8,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,3,2,7,4,8,1]=>[1,8,4,7,2,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,5,2,7,3,8,1]=>[1,8,3,7,2,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,5,6,1,2,8,3]=>[3,8,2,1,6,5,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,5,6,2,1,3,8,4]=>[4,8,3,1,2,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,4,2,7,8,1,3]=>[3,1,8,7,2,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,5,7,2,1,8,3,4]=>[4,3,8,1,2,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,8,3,6,4,1,2]=>[2,1,4,6,3,8,7,5]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [3,7,8,5,6,4,1,2]=>[2,1,4,6,5,8,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [3,7,8,5,6,1,4,2]=>[2,4,1,6,5,8,7,3]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [1,7,8,5,6,3,4,2]=>[2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [1,7,5,8,6,3,4,2]=>[2,4,3,6,8,5,7,1]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [3,7,5,8,6,1,4,2]=>[2,4,1,6,8,5,7,3]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [3,7,5,8,6,4,1,2]=>[2,1,4,6,8,5,7,3]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [5,7,3,8,6,4,1,2]=>[2,1,4,6,8,3,7,5]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,3,8,5,6,4,1,2]=>[2,1,4,6,5,8,3,7]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,3,5,8,6,4,1,2]=>[2,1,4,6,8,5,3,7]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [3,5,7,8,6,4,1,2]=>[2,1,4,6,8,7,5,3]=>[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [1,5,7,8,6,3,4,2]=>[2,4,3,6,8,7,5,1]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [1,5,7,8,3,6,4,2]=>[2,4,6,3,8,7,5,1]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [3,5,7,8,1,6,4,2]=>[2,4,6,1,8,7,5,3]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [5,3,7,8,1,6,4,2]=>[2,4,6,1,8,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,3,5,8,6,1,4,2]=>[2,4,1,6,8,5,3,7]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,3,8,5,6,1,4,2]=>[2,4,1,6,5,8,3,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,8,1,5,6,3,4,2]=>[2,4,3,6,5,1,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,1,8,5,6,3,4,2]=>[2,4,3,6,5,8,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,1,5,8,6,3,4,2]=>[2,4,3,6,8,5,1,7]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [5,1,7,8,3,6,4,2]=>[2,4,6,3,8,7,1,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [3,1,7,8,5,6,4,2]=>[2,4,6,5,8,7,1,3]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [1,3,7,8,5,6,4,2]=>[2,4,6,5,8,7,3,1]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [3,1,7,5,8,6,4,2]=>[2,4,6,8,5,7,1,3]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [5,1,7,3,8,6,4,2]=>[2,4,6,8,3,7,1,5]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [7,1,5,3,8,6,4,2]=>[2,4,6,8,3,5,1,7]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [7,1,5,8,3,6,4,2]=>[2,4,6,3,8,5,1,7]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,8,1,5,3,6,4,2]=>[2,4,6,3,5,1,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,8,3,5,1,6,4,2]=>[2,4,6,1,5,3,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,3,5,8,1,6,4,2]=>[2,4,6,1,8,5,3,7]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [5,3,7,1,8,6,4,2]=>[2,4,6,8,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [3,5,7,1,8,6,4,2]=>[2,4,6,8,1,7,5,3]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [1,7,5,3,8,6,4,2]=>[2,4,6,8,3,5,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [5,7,3,1,8,6,4,2]=>[2,4,6,8,1,3,7,5]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [5,7,3,8,6,1,4,2]=>[2,4,1,6,8,3,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [3,7,5,8,1,6,4,2]=>[2,4,6,1,8,5,7,3]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [1,7,5,8,3,6,4,2]=>[2,4,6,3,8,5,7,1]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [1,7,8,5,3,6,4,2]=>[2,4,6,3,5,8,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [3,7,8,5,1,6,4,2]=>[2,4,6,1,5,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [5,7,8,3,6,1,4,2]=>[2,4,1,6,3,8,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [5,7,8,6,3,1,4,2]=>[2,4,1,3,6,8,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,5,8,6,1,3,4,2]=>[2,4,3,1,6,8,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>2 [5,7,8,1,6,3,4,2]=>[2,4,3,6,1,8,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [5,7,8,1,3,6,4,2]=>[2,4,6,3,1,8,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [3,7,8,1,5,6,4,2]=>[2,4,6,5,1,8,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [1,7,8,3,5,6,4,2]=>[2,4,6,5,3,8,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [1,7,3,8,5,6,4,2]=>[2,4,6,5,8,3,7,1]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [3,7,1,8,5,6,4,2]=>[2,4,6,5,8,1,7,3]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [5,7,1,8,3,6,4,2]=>[2,4,6,3,8,1,7,5]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [5,7,1,8,6,3,4,2]=>[2,4,3,6,8,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,5,1,8,6,3,4,2]=>[2,4,3,6,8,1,5,7]=>[1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,5,8,1,6,3,4,2]=>[2,4,3,6,1,8,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,8,5,1,6,3,4,2]=>[2,4,3,6,1,5,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,8,5,1,3,6,4,2]=>[2,4,6,3,1,5,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,5,8,1,3,6,4,2]=>[2,4,6,3,1,8,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,5,1,8,3,6,4,2]=>[2,4,6,3,8,1,5,7]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,5,1,3,8,6,4,2]=>[2,4,6,8,3,1,5,7]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [5,7,1,3,8,6,4,2]=>[2,4,6,8,3,1,7,5]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [3,7,1,5,8,6,4,2]=>[2,4,6,8,5,1,7,3]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [1,7,3,5,8,6,4,2]=>[2,4,6,8,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [1,5,3,7,8,6,4,2]=>[2,4,6,8,7,3,5,1]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [3,5,1,7,8,6,4,2]=>[2,4,6,8,7,1,5,3]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [5,3,1,7,8,6,4,2]=>[2,4,6,8,7,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [7,3,1,5,8,6,4,2]=>[2,4,6,8,5,1,3,7]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [7,3,1,8,5,6,4,2]=>[2,4,6,5,8,1,3,7]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,3,8,1,5,6,4,2]=>[2,4,6,5,1,8,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,8,3,1,5,6,4,2]=>[2,4,6,5,1,3,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,8,1,3,5,6,4,2]=>[2,4,6,5,3,1,8,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,2,2,2]=>2 [7,1,8,3,5,6,4,2]=>[2,4,6,5,3,8,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>2 [7,1,3,8,5,6,4,2]=>[2,4,6,5,8,3,1,7]=>[1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>2 [7,1,3,5,8,6,4,2]=>[2,4,6,8,5,3,1,7]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [3,1,5,7,8,6,4,2]=>[2,4,6,8,7,5,1,3]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>2 [5,7,3,4,6,8,1,2]=>[2,1,8,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,7,3,4,8,6,1,2]=>[2,1,6,8,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,7,3,4,8,1,6,2]=>[2,6,1,8,4,3,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,7,3,4,1,8,6,2]=>[2,6,8,1,4,3,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [5,7,3,1,4,6,2,8]=>[8,2,6,4,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,1,4,6,8,2]=>[2,8,6,4,1,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,3,1,4,8,6,2]=>[2,6,8,4,1,3,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [5,3,7,1,4,2,8,6]=>[6,8,2,4,1,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,5,1,2,8,6,4]=>[4,6,8,2,1,5,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,8,3,5,1,2,6,4]=>[4,6,2,1,5,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,3,8,5,1,2,6,4]=>[4,6,2,1,5,8,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [3,7,5,1,2,6,4,8]=>[8,4,6,2,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,1,2,6,8,4]=>[4,8,6,2,1,5,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,4,3,5,2,8,7]=>[7,8,2,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,7,8,6,1,3,2]=>[2,3,1,6,8,7,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [7,5,6,2,8,3,1,4]=>[4,1,3,8,2,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,7,2,5,8,3,1,6]=>[6,1,3,8,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,5,6,2,4,1,8,7]=>[7,8,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,5,3,4,8,1,7,6]=>[6,7,1,8,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,4,7,6,2,8,1,3]=>[3,1,8,2,6,7,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,7,8,1,5,4,6,2]=>[2,6,4,5,1,8,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [8,3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3,8]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,2,3,1]=>2 [5,8,7,1,4,6,2,3]=>[3,2,6,4,1,7,8,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [4,7,6,1,8,3,5,2]=>[2,5,3,8,1,6,7,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,7,2,6,3,8,5,1]=>[1,5,8,3,6,2,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,7,8,6,3,1,2,5]=>[5,2,1,3,6,8,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [2,8,3,6,7,5,1,4]=>[4,1,5,7,6,3,8,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [3,2,4,5,8,1,7,6]=>[6,7,1,8,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,7,3,2,1,8,6,5]=>[5,6,8,1,2,3,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [6,4,7,5,2,3,8,1]=>[1,8,3,2,5,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,8,1,7,3,2,5]=>[5,2,3,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [7,6,8,1,3,5,2,4]=>[4,2,5,3,1,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,7,5,2,3,1,8,4]=>[4,8,1,3,2,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,2,6,5,1,8,3]=>[3,8,1,5,6,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,2,1,8,5,7,3]=>[3,7,5,8,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [8,7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7,8]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [2,1,5,7,8,4,6,3]=>[3,6,4,8,7,5,1,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,5,7,8,3,6,1,4]=>[4,1,6,3,8,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,4,8,1,2,5,6,3]=>[3,6,5,2,1,8,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [4,2,7,8,6,3,5,1]=>[1,5,3,6,8,7,2,4]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [6,1,7,4,3,2,8,5]=>[5,8,2,3,4,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,8,3,4,2,1,7,5]=>[5,7,1,2,4,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,2,6,1,5,7,8,3]=>[3,8,7,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,1,4,8,3,5,6,2]=>[2,6,5,3,8,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [6,8,7,5,3,4,1,2]=>[2,1,4,3,5,7,8,6]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>2 [2,5,7,4,8,6,1,3]=>[3,1,6,8,4,7,5,2]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,6,3,7,5,1,8,4]=>[4,8,1,5,7,3,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,6,4,8,7,5,1,3]=>[3,1,5,7,8,4,6,2]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [6,3,7,2,8,5,1,4]=>[4,1,5,8,2,7,3,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,2,4,8,7,5,1,3]=>[3,1,5,7,8,4,2,6]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [2,3,5,7,6,1,8,4]=>[4,8,1,6,7,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,3,6,1,8,7,4]=>[4,7,8,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [4,2,7,3,8,1,6,5]=>[5,6,1,8,3,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,5,1,4,7,3,8,6]=>[6,8,3,7,4,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,4,2,8,6,5,3]=>[3,5,6,8,2,4,1,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [5,1,3,7,2,8,6,4]=>[4,6,8,2,7,3,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,6,2,4,1,8,7,5]=>[5,7,8,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,2,3,5,1,8,6,4]=>[4,6,8,1,5,3,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,4,5,1,8,7,6,2]=>[2,6,7,8,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [1,6,4,2,8,7,5,3]=>[3,5,7,8,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [5,6,3,1,8,7,4,2]=>[2,4,7,8,1,3,6,5]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [7,4,2,5,1,8,6,3]=>[3,6,8,1,5,2,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [5,3,6,2,8,1,7,4]=>[4,7,1,8,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,6,2,7,5,1,8,3]=>[3,8,1,5,7,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,5,8,3,2,7,6,4]=>[4,6,7,2,3,8,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [2,5,8,3,1,7,6,4]=>[4,6,7,1,3,8,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,2,8,4,1,3,7,6]=>[6,7,3,1,4,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,4,8,7,1,3,6,5]=>[5,6,3,1,7,8,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [2,5,8,1,3,7,6,4]=>[4,6,7,3,1,8,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [1,3,8,2,4,7,6,5]=>[5,6,7,4,2,8,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,5,2,1,7,4,8,6]=>[6,8,4,7,1,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,5,1,2,8,6,4,3]=>[3,4,6,8,2,1,5,7]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [4,6,1,2,8,7,5,3]=>[3,5,7,8,2,1,6,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [6,4,1,2,8,7,5,3]=>[3,5,7,8,2,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [7,4,1,2,8,6,5,3]=>[3,5,6,8,2,1,4,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [5,3,1,7,2,8,6,4]=>[4,6,8,2,7,1,3,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,1,2,8,3,7,6,5]=>[5,6,7,3,8,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,7,5,6,8,3,1,2]=>[2,1,3,8,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [7,5,2,6,4,1,3,8]=>[8,3,1,4,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,7,5,8,4,2]=>[2,4,8,5,7,3,6,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,3,7,4,5,8,6,2]=>[2,6,8,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,8,7,6,4,5,1,2]=>[2,1,5,4,6,7,8,3]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [1,6,5,2,8,3,7,4]=>[4,7,3,8,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,7,6,3,1,4,5,8]=>[8,5,4,1,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,5,3,2,1,4,7]=>[7,4,1,2,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,6,4,5,1,3,8]=>[8,3,1,5,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,2,6,4,1,3,8]=>[8,3,1,4,6,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,8,6,3,7,5,4,2]=>[2,4,5,7,3,6,8,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,2,1,2,1]=>2 [1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [2,1,3,8,4,7,5,6]=>[6,5,7,4,8,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,2,8,7,1,4,3,5]=>[5,3,4,1,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [8,2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,4,8,3,1,5,6,7]=>[7,6,5,1,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,4,2,7,1,5,6,8]=>[8,6,5,1,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,8,2,1,5,6]=>[6,5,1,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,2,7,3,1,4,6,8]=>[8,6,4,1,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [1,3,7,2,8,4,6,5]=>[5,6,4,8,2,7,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,4,2,5,8,6,7,3]=>[3,7,6,8,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,5,3,8,2,1,4,7]=>[7,4,1,2,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,4,5,7,1,3,8]=>[8,3,1,7,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,2,7,1,3,8]=>[8,3,1,7,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,1,8,5,3,4]=>[4,3,5,8,1,2,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,7,5,8,6,4,3,2]=>[2,3,4,6,8,5,7,1]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,2,2]=>2 [6,5,1,2,8,3,7,4]=>[4,7,3,8,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [6,8,4,1,3,7,5,2]=>[2,5,7,3,1,4,8,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [6,5,7,1,3,8,4,2]=>[2,4,8,3,1,7,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,8,3,1,7,4,6,2]=>[2,6,4,7,1,3,8,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [8,3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [1,3,8,7,4,6,5,2]=>[2,5,6,4,7,8,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [2,3,1,8,7,4,5,6]=>[6,5,4,7,8,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [6,2,7,1,8,5,3,4]=>[4,3,5,8,1,7,2,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>2 [7,1,8,3,6,5,4,2]=>[2,4,5,6,3,8,1,7]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [4,1,8,7,5,6,3,2]=>[2,3,6,5,7,8,1,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>2 [8,1,2,3,4,5,9,6,7]=>[7,6,9,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>7 [8,1,2,3,4,9,5,6,7]=>[7,6,5,9,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[7,2]=>7 [8,1,2,9,3,4,5,6,7]=>[7,6,5,4,3,9,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[7,2]=>7 [8,1,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,2]=>7 [6,1,2,3,4,5,8,9,7]=>[7,9,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [9,1,2,3,4,5,6,10,7,8]=>[8,7,10,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,2]=>8 [5,1,2,3,4,8,9,6,7]=>[7,6,9,8,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>7 [9,1,2,3,4,5,10,6,7,8]=>[8,7,6,10,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[8,2]=>8 [4,1,2,3,8,9,5,6,7]=>[7,6,5,9,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[7,2]=>7 [3,1,2,8,9,4,5,6,7]=>[7,6,5,4,9,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[7,2]=>7 [9,1,2,3,10,4,5,6,7,8]=>[8,7,6,5,4,10,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [2,1,8,9,3,4,5,6,7]=>[7,6,5,4,3,9,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[7,2]=>7 [9,1,2,10,3,4,5,6,7,8]=>[8,7,6,5,4,3,10,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]=>[8,2]=>8 [2,1,7,8,4,6,3,5]=>[5,3,6,4,8,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,5,8,7,2,6,4,1]=>[1,4,6,2,7,8,5,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,3,2,1,1]=>1 [5,8,2,7,1,6,4,3]=>[3,4,6,1,7,2,8,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>3 [2,1,6,4,5,8,3,7]=>[7,3,8,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6,8]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [4,6,3,8,5,2,1,7]=>[7,1,2,5,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,3,7,5,2,8,1]=>[1,8,2,5,7,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,7,8,2,6,1,4]=>[4,1,6,2,8,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,6,2,4,1,3,8,7]=>[7,8,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,6,3,8,5,2,4,1]=>[1,4,2,5,8,3,6,7]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [8,2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,2,3,4,6,1,8,5]=>[5,8,1,6,4,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,2,3,4,6,8,5,1]=>[1,5,8,6,4,3,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,8,3,6,5,1,4,2]=>[2,4,1,5,6,3,8,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>2 [4,2,3,6,1,5,8,7]=>[7,8,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,8,3,7,5,1,6,2]=>[2,6,1,5,7,3,8,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [5,2,3,4,7,8,6,1]=>[1,6,8,7,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [8,2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [5,2,3,4,8,7,1,6]=>[6,1,7,8,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,3,4,6,8,1,7]=>[7,1,8,6,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,8,5,7,6,1,3]=>[3,1,6,7,5,8,2,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [3,7,6,4,5,1,8,2]=>[2,8,1,5,4,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,8,6,4,5,1,2,7]=>[7,2,1,5,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,7,3,6,5,8,2,1]=>[1,2,8,5,6,3,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,8,3,7,5,2,1,6]=>[6,1,2,5,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7,8]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [4,2,7,5,8,6,3,1]=>[1,3,6,8,5,7,2,4]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [5,8,1,7,3,6,4,2]=>[2,4,6,3,7,1,8,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [5,2,7,8,4,6,3,1]=>[1,3,6,4,8,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [5,2,8,3,7,6,1,4]=>[4,1,6,7,3,8,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [8,2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [6,8,3,2,5,7,1,4]=>[4,1,7,5,2,3,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,7,3,8,5,4,2,1]=>[1,2,4,5,8,3,7,6]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,2,1,3]=>1 [6,2,3,4,7,5,8,1]=>[1,8,5,7,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,3,4,8,5,1,7]=>[7,1,5,8,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,2,3,4,1,8,5,7]=>[7,5,8,1,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,2,3,4,8,7,5,1]=>[1,5,7,8,4,3,2,6]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [6,8,3,1,5,7,4,2]=>[2,4,7,5,1,3,8,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [7,2,3,4,1,8,6,5]=>[5,6,8,1,4,3,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [7,2,3,4,1,5,8,6]=>[6,8,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,2,8,5,3,4,6,7]=>[7,6,4,3,5,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,8,4,2,3,5,6,7]=>[7,6,5,3,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6,8]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>2 [4,8,6,7,5,1,3,2]=>[2,3,1,5,7,6,8,4]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>2 [7,1,8,4,6,5,2,3]=>[3,2,5,6,4,8,1,7]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [8,7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7,8]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5,8]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>2 [6,4,8,5,1,7,3,2]=>[2,3,7,1,5,8,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [4,8,5,7,1,6,3,2]=>[2,3,6,1,7,5,8,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>2 [8,4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4,8]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>2 [8,7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7,8]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>2 [8,7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7,8]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>2 [8,7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7,8]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [4,8,7,2,5,1,6,3]=>[3,6,1,5,2,7,8,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [1,6,4,8,5,2,7,3]=>[3,7,2,5,8,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [7,1,8,5,6,2,3,4]=>[4,3,2,6,5,8,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [3,8,7,1,2,5,6,4]=>[4,6,5,2,1,7,8,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,5,8,7,1,2,6,4]=>[4,6,2,1,7,8,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [2,3,8,5,7,1,6,4]=>[4,6,1,7,5,8,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [3,8,7,1,5,6,2,4]=>[4,2,6,5,1,7,8,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,5,8,7,1,6,2,4]=>[4,2,6,1,7,8,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [2,3,8,6,7,5,1,4]=>[4,1,5,7,6,8,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [3,2,8,6,7,5,1,4]=>[4,1,5,7,6,8,2,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [4,1,8,6,2,7,5,3]=>[3,5,7,2,6,8,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [8,7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7,8]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [1,3,8,6,7,5,2,4]=>[4,2,5,7,6,8,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [5,7,1,8,2,6,3,4]=>[4,3,6,2,8,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,8,7,1,5,6,3,4]=>[4,3,6,5,1,7,8,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [7,1,8,2,4,6,5,3]=>[3,5,6,4,2,8,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [1,6,2,8,4,7,5,3]=>[3,5,7,4,8,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,3,8,5,7,2,6,4]=>[4,6,2,7,5,8,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [1,8,3,7,2,5,6,4]=>[4,6,5,2,7,3,8,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [2,8,7,1,3,5,6,4]=>[4,6,5,3,1,7,8,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [5,7,1,8,2,3,6,4]=>[4,6,3,2,8,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,1,8,2,3,5,6,4]=>[4,6,5,3,2,8,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6,8]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,3,2,1]=>2 [4,2,8,6,7,5,1,3]=>[3,1,5,7,6,8,2,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [8,4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4,8]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [4,8,3,6,1,7,5,2]=>[2,5,7,1,6,3,8,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [8,3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [8,3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3,8]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>2 [8,7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7,8]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [4,8,6,1,7,2,5,3]=>[3,5,2,7,1,6,8,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [4,7,1,8,2,6,5,3]=>[3,5,6,2,8,1,7,4]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [4,2,8,6,7,1,5,3]=>[3,5,1,7,6,8,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [8,7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [2,8,3,6,7,1,5,4]=>[4,5,1,7,6,3,8,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [8,7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [1,8,7,2,3,6,4,5]=>[5,4,6,3,2,7,8,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [1,8,7,2,6,3,4,5]=>[5,4,3,6,2,7,8,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [1,8,7,3,6,2,4,5]=>[5,4,2,6,3,7,8,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [1,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [8,2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [2,8,7,3,5,6,1,4]=>[4,1,6,5,3,7,8,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [8,3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [1,5,2,8,6,7,4,3]=>[3,4,7,6,8,2,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [1,2,8,6,7,5,3,4]=>[4,3,5,7,6,8,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [1,8,3,6,7,5,2,4]=>[4,2,5,7,6,3,8,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [8,2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [8,1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [1,2,8,6,7,3,5,4]=>[4,5,3,7,6,8,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [8,1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [1,8,3,6,7,2,5,4]=>[4,5,2,7,6,3,8,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [1,7,8,2,3,6,5,4]=>[4,5,6,3,2,8,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [2,8,5,7,4,6,3,1]=>[1,3,6,4,7,5,8,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>1 [3,1,8,5,7,4,2,6]=>[6,2,4,7,5,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [8,3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [2,8,6,4,3,5,7,1]=>[1,7,5,3,4,6,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,6,8,3,5,4,7,1]=>[1,7,4,5,3,8,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,7,5,8,4,6,3,1]=>[1,3,6,4,8,5,7,2]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [8,4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [4,8,1,7,6,3,2,5]=>[5,2,3,6,7,1,8,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,1,7,6,2,3,5,8]=>[8,5,3,2,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,8,6,2,5,4]=>[4,5,2,6,8,1,7,3]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [3,1,7,6,4,5,2,8]=>[8,2,5,4,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,7,5,8,4,2,6]=>[6,2,4,8,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,6,8,7,5,2,4]=>[4,2,5,7,8,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [6,3,8,7,5,2,4,1]=>[1,4,2,5,7,8,3,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>1 [7,3,5,8,4,2,6,1]=>[1,6,2,4,8,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,3,6,4,2,8,5,1]=>[1,5,8,2,4,6,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,8,3,6,2,5,4,1]=>[1,4,5,2,6,3,8,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,3,1,1,2]=>1 [7,4,8,2,1,6,3,5]=>[5,3,6,1,2,8,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [8,7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [7,8,5,2,1,4,3,6]=>[6,3,4,1,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,5,2,3,1,4,8,6]=>[6,8,4,1,3,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,6,2,3,8,1,5]=>[5,1,8,3,2,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,4,2,5,8,3,7,1]=>[1,7,3,8,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,7,1,5,3,8,2,6]=>[6,2,8,3,5,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,8,1,3,6,2,5]=>[5,2,6,3,1,8,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [5,7,1,3,4,6,2,8]=>[8,2,6,4,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,4,2,3,6,8]=>[8,6,3,2,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,1,3,2,4,6,7]=>[7,6,4,2,3,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,6,1,3,2,7,5]=>[5,7,2,3,1,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,4,8,7,2,3,6,1]=>[1,6,3,2,7,8,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [5,4,8,7,3,1,2,6]=>[6,2,1,3,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [6,8,3,7,2,5,4,1]=>[1,4,5,2,7,3,8,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,3,1,2,1]=>1 [5,4,6,8,2,3,7,1]=>[1,7,3,2,8,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,7,4,2,8,3,6,1]=>[1,6,3,8,2,4,7,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [6,4,7,2,1,8,3,5]=>[5,3,8,1,2,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,5,3,4,1,2,8,7]=>[7,8,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,8,5,4,1,3,2,7]=>[7,2,3,1,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,3,7,1,5,2,8]=>[8,2,5,1,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [9,8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [9,8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [9,8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,1,1]=>6 [9,8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1]=>7 [9,6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [7,4,2,6,1,5,3,8]=>[8,3,5,1,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,5,6,1,3,8]=>[8,3,1,6,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,8,1,5,7,3]=>[3,7,5,1,8,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,3,7,8,2,5,1,4]=>[4,1,5,2,8,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,3,5,6,4,2,1,8]=>[8,1,2,4,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,1,5,6,2,8]=>[8,2,6,5,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,2,6,1,3,8]=>[8,3,1,6,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,2,8,6,4,1]=>[1,4,6,8,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [5,3,8,2,6,7,4,1]=>[1,4,7,6,2,8,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,3,8,2,5,4,7,1]=>[1,7,4,5,2,8,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,4,8,2,1,5,7,3]=>[3,7,5,1,2,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,4,3,1,8,2,7,5]=>[5,7,2,8,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,3,7,8,2,6,4,1]=>[1,4,6,2,8,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [4,7,8,5,6,3,2,1]=>[1,2,3,6,5,8,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,3,2]=>1 [5,3,7,6,8,2,4,1]=>[1,4,2,8,6,7,3,5]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [5,7,8,4,6,2,1,3]=>[3,1,2,6,4,8,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,3,2]=>3 [5,8,4,3,6,7,1,2]=>[2,1,7,6,3,4,8,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,8,6,4,7,2,1,3]=>[3,1,2,7,4,6,8,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [5,3,8,6,2,7,4,1]=>[1,4,7,2,6,8,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [4,7,5,8,6,3,2,1]=>[1,2,3,6,8,5,7,4]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,3,2]=>1 [4,8,6,7,5,3,2,1]=>[1,2,3,5,7,6,8,4]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,2,2,1]=>1 [6,3,8,7,2,4,1,5]=>[5,1,4,2,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [5,3,8,7,2,6,4,1]=>[1,4,6,2,7,8,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,3,2,1,1]=>1 [5,3,8,6,7,2,4,1]=>[1,4,2,7,6,8,3,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [5,3,7,8,6,2,4,1]=>[1,4,2,6,8,7,3,5]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [5,7,6,4,8,2,1,3]=>[3,1,2,8,4,6,7,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [5,8,4,6,7,2,1,3]=>[3,1,2,7,6,4,8,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [6,4,2,8,1,7,3,5]=>[5,3,7,1,8,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,5,2,4,3,7,8,1]=>[1,8,7,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,6,2,8,7,1,3]=>[3,1,7,8,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,6,3,8,7,2,4,1]=>[1,4,2,7,8,3,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [6,7,4,3,1,8,2,5]=>[5,2,8,1,3,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,7,4,3,6,8,1,2]=>[2,1,8,6,3,4,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,7,3,8,6,2,4,1]=>[1,4,2,6,8,3,7,5]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [4,5,8,6,7,3,2,1]=>[1,2,3,7,6,8,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,4,1]=>1 [4,6,8,5,7,3,2,1]=>[1,2,3,7,5,8,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,4,1]=>1 [5,6,8,3,7,2,4,1]=>[1,4,2,7,3,8,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [5,4,6,8,2,7,1,3]=>[3,1,7,2,8,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,6,7,8,2,5,1,4]=>[4,1,5,2,8,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,7,8,2,6,4,1,3]=>[3,1,4,6,2,8,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [3,6,8,5,7,1,4,2]=>[2,4,1,7,5,8,6,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [1,7,4,8,6,2,3,5]=>[5,3,2,6,8,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,2,7,4,6,8,1,3]=>[3,1,8,6,4,7,2,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,1,3,8,2,7,4,5]=>[5,4,7,2,8,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,2,7,3,1,5,8,4]=>[4,8,5,1,3,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,4,1,8,5,7,2]=>[2,7,5,8,1,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,6,3,1,7,8,4,2]=>[2,4,8,7,1,3,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [3,6,4,8,1,5,7,2]=>[2,7,5,1,8,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,5,7,4,1,6,8,2]=>[2,8,6,1,4,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,7,1,8,2,6,3,5]=>[5,3,6,2,8,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,3,1,8,5,2,4,7]=>[7,4,2,5,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,2,1,8,4,6,7]=>[7,6,4,8,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,5,1,2,3,8,6,4]=>[4,6,8,3,2,1,5,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,4,1,2,7,3,8,5]=>[5,8,3,7,2,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,8,4,5,1,3,2,6]=>[6,2,3,1,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [6,7,1,3,2,5,4,8]=>[8,4,5,2,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,4,3,5,2,8]=>[8,2,5,3,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,2,3,1,5,4,6]=>[6,4,5,1,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,4,3,5,1,6]=>[6,1,5,3,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,2,4,1,5,3,6]=>[6,3,5,1,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [1,4,2,6,5,7,3,8]=>[8,3,7,5,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,4,2,7,3,8]=>[8,3,7,2,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,2,4,1,5,3,8]=>[8,3,5,1,4,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,2,4,3,5,1,8]=>[8,1,5,3,4,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,2,3,1,5,4,8]=>[8,4,5,1,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,5,4,8,1,2]=>[2,1,8,4,5,3,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [2,4,1,6,5,7,3,8]=>[8,3,7,5,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,6,4,7,3,8]=>[8,3,7,4,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,6,4,7,3,8]=>[8,3,7,4,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,7,4,8,1,2]=>[2,1,8,4,7,5,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,6,2,4,3,7,1,8]=>[8,1,7,3,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,6,1,7,3,8]=>[8,3,7,1,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,6,3,7,2,8]=>[8,2,7,3,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,6,1,7,2,8]=>[8,2,7,1,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,4,1,7,2,8]=>[8,2,7,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,4,3,7,2,8]=>[8,2,7,3,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,3,2,7,4,8]=>[8,4,7,2,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,7,1,3,2,8]=>[8,2,3,1,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,8,1,3,2,4]=>[4,2,3,1,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [4,5,1,3,2,7,6,8]=>[8,6,7,2,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,7,1,3,2,8]=>[8,2,3,1,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,3,2,7,5,8]=>[8,5,7,2,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,6,2,7,5,8]=>[8,5,7,2,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,6,5,7,2,8]=>[8,2,7,5,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,3,1,7,6,8]=>[8,6,7,1,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,7,6,8,1,2]=>[2,1,8,6,7,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,6,5,7,3,8,1,2]=>[2,1,8,3,7,5,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,6,5,7,2,3,1,8]=>[8,1,3,2,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,6,4,7,2,8]=>[8,2,7,4,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,6,4,7,2,8]=>[8,2,7,4,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,6,2,7,4,8]=>[8,4,7,2,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,6,1,7,4,8]=>[8,4,7,1,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,6,4,7,1,8]=>[8,1,7,4,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,6,1,7,5,8]=>[8,5,7,1,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,3,1,7,5,8]=>[8,5,7,1,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,6,1,7,5,8]=>[8,5,7,1,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,6,4,7,1,8]=>[8,1,7,4,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,6,1,7,4,8]=>[8,4,7,1,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,7,3,5,8,1]=>[1,8,5,3,7,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,2,7,5,4,8,1]=>[1,8,4,5,7,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,6,1,7,3,8,2,5]=>[5,2,8,3,7,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,7,1,3,8,6,5]=>[5,6,8,3,1,7,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [5,2,6,7,4,3,8,1]=>[1,8,3,4,7,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,2,7,6,4,8,1]=>[1,8,4,6,7,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,5,7,4,3,8,2,6]=>[6,2,8,3,4,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,7,3,1,8,6,4]=>[4,6,8,1,3,7,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,5,7,2,8,3,6,4]=>[4,6,3,8,2,7,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,5,7,3,1,8,4,6]=>[6,4,8,1,3,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,5,7,3,4,8,2,6]=>[6,2,8,4,3,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,2,6,7,1,8,4,3]=>[3,4,8,1,7,6,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,3,7,2,8,5,6,4]=>[4,6,5,8,2,7,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,3,1,5,8,4,7,6]=>[6,7,4,8,5,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,1,5,6,8,4,3,7]=>[7,3,4,8,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,1,5,8,6,4,7]=>[7,4,6,8,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,7,2,8,5,4,6]=>[6,4,5,8,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,3,1,6,8,5,4,7]=>[7,4,5,8,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,6,2,7,1,8,3,5]=>[5,3,8,1,7,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,5,4,3,6,8,2,7]=>[7,2,8,6,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,6,4,5,7,8,3,2]=>[2,3,8,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [2,5,1,7,8,6,3,4]=>[4,3,6,8,7,1,5,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,3,6,2,8,7,4,5]=>[5,4,7,8,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,1,5,6,8,4,7,3]=>[3,7,4,8,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,4,1,7,8,5,6,3]=>[3,6,5,8,7,1,4,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,3,6,2,8,4,7,5]=>[5,7,4,8,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,1,5,6,8,7,3,4]=>[4,3,7,8,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,2,4,7,5,8,3,1]=>[1,3,8,5,7,4,2,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [3,4,6,8,5,7,2,1]=>[1,2,7,5,8,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [4,2,5,7,3,1,8,6]=>[6,8,1,3,7,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,6,2,8,7,3,1]=>[1,3,7,8,2,6,5,4]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [2,5,6,8,1,7,4,3]=>[3,4,7,1,8,6,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [4,5,6,1,8,7,3,2]=>[2,3,7,8,1,6,5,4]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [4,5,6,3,1,8,7,2]=>[2,7,8,1,3,6,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [4,3,6,2,1,7,5,8]=>[8,5,7,1,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,2,1,7,5,8]=>[8,5,7,1,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,1,7,5,2,8]=>[8,2,5,7,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,7,6,1,8,2]=>[2,8,1,6,7,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,5,1,7,3,8,6,2]=>[2,6,8,3,7,1,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [2,5,7,1,4,3,8,6]=>[6,8,3,4,1,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,5,7,6,1,8,2]=>[2,8,1,6,7,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,2,6,1,7,5,8]=>[8,5,7,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,1,6,4,7,8]=>[8,7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,6,2,7,4,8]=>[8,4,7,2,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,3,2,7,4,8]=>[8,4,7,2,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,4,7,5,3,8]=>[8,3,5,7,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,7,4,2,5,8]=>[8,5,2,4,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,7,5,3,2,8]=>[8,2,3,5,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,3,7,4,2,8]=>[8,2,4,7,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,4,2,1,7,8]=>[8,7,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,6,4,1,7,8]=>[8,7,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,6,3,7,4,8]=>[8,4,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,3,1,7,4,8]=>[8,4,7,1,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,3,1,7,8,5]=>[5,8,7,1,3,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,2,1,7,4,5,8]=>[8,5,4,7,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,7,4,1,5,8]=>[8,5,1,4,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,2,8,6,4,1]=>[1,4,6,8,2,7,5,3]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [2,4,7,1,3,6,5,8]=>[8,5,6,3,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,3,7,5,4,8]=>[8,4,5,7,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,7,5,2,4,8]=>[8,4,2,5,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,2,7,4,3,8]=>[8,3,4,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,4,3,1,7,8]=>[8,7,1,3,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,6,4,3,7,8]=>[8,7,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,1,6,3,7,8]=>[8,7,3,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,6,2,7,3,8]=>[8,3,7,2,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,4,2,7,3,8]=>[8,3,7,2,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,7,5,4,8,2]=>[2,8,4,5,7,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,6,1,5,4,3,7,8]=>[8,7,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,2,5,4,7,8]=>[8,7,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,4,3,2,7,8]=>[8,7,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,6,3,2,7,8]=>[8,7,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,1,6,2,7,8]=>[8,7,2,6,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,1,7,6,5,4,3,9]=>[9,3,4,5,6,7,1,2,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,3,1,6,5,4,8,2]=>[2,8,4,5,6,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,2,8,1,5,4,3,6]=>[6,3,4,5,1,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,2,7,6,5,8,1,3]=>[3,1,8,5,6,7,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,8,2,6,5,4,1,7]=>[7,1,4,5,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [9,2,1,8,7,6,5,4,3,10]=>[10,3,4,5,6,7,8,1,2,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,3,2,1,5,4,6,8]=>[8,6,4,5,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,8,6,1,4,3,5]=>[5,3,4,1,6,8,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [5,2,7,6,8,4,1,3]=>[3,1,4,8,6,7,2,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,8,7,2,5,4,1,6]=>[6,1,4,5,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,2,9,8,7,6,5,4,1,10]=>[10,1,4,5,6,7,8,9,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [11,1,12,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,12,1,11]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,1,1,1,1,2]=>2 [7,5,1,6,8,4,3,2]=>[2,3,4,8,6,1,5,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [7,4,2,1,5,6,3,8]=>[8,3,6,5,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,8,6,5,1,3,4]=>[4,3,1,5,6,8,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [5,3,2,6,7,4,1,8]=>[8,1,4,7,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,2,5,6,1,8]=>[8,1,6,5,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,6,5,2,4,8]=>[8,4,2,5,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,2,4,7,1,8]=>[8,1,7,4,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,8,2,5,4,3,6]=>[6,3,4,5,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [1,4,5,3,7,8,2,6]=>[6,2,8,7,3,5,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,8,2,7,6,3,5]=>[5,3,6,7,2,8,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,7,3,5,1,8,6,2]=>[2,6,8,1,5,3,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [8,7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7,8]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [2,5,8,7,4,6,1,3]=>[3,1,6,4,7,8,5,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [8,3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>4 [2,3,1,8,4,7,6,5]=>[5,6,7,4,8,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [8,5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [6,3,7,2,8,5,4,1]=>[1,4,5,8,2,7,3,6]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [1,6,3,8,2,7,5,4]=>[4,5,7,2,8,3,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [1,7,5,3,8,2,6,4]=>[4,6,2,8,3,5,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [2,7,5,1,3,8,6,4]=>[4,6,8,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,7,6,4,3,8,2,5]=>[5,2,8,3,4,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,7,2,4,8,6,5,1]=>[1,5,6,8,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [3,4,2,8,7,6,1,5]=>[5,1,6,7,8,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [5,1,4,3,2,7,8,6]=>[6,8,7,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,8,5,2,4,1,6]=>[6,1,4,2,5,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,7,2,5,8,4,3,1]=>[1,3,4,8,5,2,7,6]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [5,3,1,7,8,4,2,6]=>[6,2,4,8,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,6,4,1,3,8,5]=>[5,8,3,1,4,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,3,1,7,5,2,8,4]=>[4,8,2,5,7,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,7,5,3,1,8,4]=>[4,8,1,3,5,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,8,2,7,4,6,3]=>[3,6,4,7,2,8,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [5,7,2,8,4,6,3,1]=>[1,3,6,4,8,2,7,5]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [5,7,3,1,8,4,6,2]=>[2,6,4,8,1,3,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [8,4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4,8]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [6,5,2,1,7,4,8,3]=>[3,8,4,7,1,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,6,4,8,3,7,2,1]=>[1,2,7,3,8,4,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [6,7,1,8,3,4,2,5]=>[5,2,4,3,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,8,3,5,1,4,2,6]=>[6,2,4,1,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [5,6,2,7,1,8,3,4]=>[4,3,8,1,7,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,7,2,4,3,8,1,5]=>[5,1,8,3,4,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,3,8,6,7,1,5]=>[5,1,7,6,8,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,5,4,8,3,6,1,7]=>[7,1,6,3,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,1,8,5,6,4,7]=>[7,4,6,5,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,7,3,6,4,8,1,2]=>[2,1,8,4,6,3,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,7,2,3,1,6,4,8]=>[8,4,6,1,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,2,4,3,6,1,8]=>[8,1,6,3,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,7,1,5,3,8]=>[8,3,5,1,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,6,2,5,3,8]=>[8,3,5,2,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,5,3,6,2,8]=>[8,2,6,3,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,5,1,7,2,8]=>[8,2,7,1,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,5,1,4,2,8]=>[8,2,4,1,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,7,1,4,2,8]=>[8,2,4,1,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,6,3,4,2,8]=>[8,2,4,3,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,5,6,3,4,2,7]=>[7,2,4,3,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,5,6,4,7,2,3]=>[3,2,7,4,6,5,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,7,1,6,4,8,2,3]=>[3,2,8,4,6,1,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,6,5,8,1,7,2,3]=>[3,2,7,1,8,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,7,1,4,2,8,5,6]=>[6,5,8,2,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,1,4,2,8,6,7]=>[7,6,8,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,8,3,7,1,2]=>[2,1,7,3,8,5,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,6,5,8,2,3,1,7]=>[7,1,3,2,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,2,6,5,8,1,7]=>[7,1,8,5,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,5,4,6,2,8,1,7]=>[7,1,8,2,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,8,3,5,4,7,2,6]=>[6,2,7,4,5,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,4,2,7,1,8,5,6]=>[6,5,8,1,7,2,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,2,3,1,8,5,6]=>[6,5,8,1,3,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,3,8,1,7,5,6]=>[6,5,7,1,8,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,5,3,8,4,7,1,6]=>[6,1,7,4,8,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,6,3,8,1,7,4,5]=>[5,4,7,1,8,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,7,1,8,3,6,4,5]=>[5,4,6,3,8,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,2,8,7,4,6,3,5]=>[5,3,6,4,7,8,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,7,4,8,6,1,5,2]=>[2,5,1,6,8,4,7,3]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [4,5,1,8,7,6,2,3]=>[3,2,6,7,8,1,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,5,2,8,7,6,3,4]=>[4,3,6,7,8,2,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [5,1,2,8,7,6,3,4]=>[4,3,6,7,8,2,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [4,1,5,8,7,6,2,3]=>[3,2,6,7,8,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [2,3,6,8,7,4,5,1]=>[1,5,4,7,8,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [2,3,7,8,6,4,5,1]=>[1,5,4,6,8,7,3,2]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [4,5,7,8,2,6,3,1]=>[1,3,6,2,8,7,5,4]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [4,5,6,8,2,7,3,1]=>[1,3,7,2,8,6,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [5,2,6,8,3,7,4,1]=>[1,4,7,3,8,6,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [3,1,6,8,7,4,5,2]=>[2,5,4,7,8,6,1,3]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [6,1,4,8,7,2,5,3]=>[3,5,2,7,8,4,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [6,1,8,4,7,3,5,2]=>[2,5,3,7,4,8,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [5,8,3,4,7,1,6,2]=>[2,6,1,7,4,3,8,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [6,8,3,5,7,1,4,2]=>[2,4,1,7,5,3,8,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [3,1,7,8,6,4,5,2]=>[2,5,4,6,8,7,1,3]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [5,2,7,8,3,6,4,1]=>[1,4,6,3,8,7,2,5]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [4,6,7,8,2,5,3,1]=>[1,3,5,2,8,7,6,4]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [7,4,5,2,8,6,3,1]=>[1,3,6,8,2,5,4,7]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [7,5,8,4,2,6,3,1]=>[1,3,6,2,4,8,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [6,8,4,5,2,7,3,1]=>[1,3,7,2,5,4,8,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [6,8,2,5,3,7,4,1]=>[1,4,7,3,5,2,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [6,3,8,4,2,7,5,1]=>[1,5,7,2,4,8,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [7,2,5,3,8,6,4,1]=>[1,4,6,8,3,5,2,7]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [3,4,7,5,8,6,2,1]=>[1,2,6,8,5,7,4,3]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [3,6,7,4,8,5,2,1]=>[1,2,5,8,4,7,6,3]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [6,7,4,2,8,5,3,1]=>[1,3,5,8,2,4,7,6]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [4,7,5,2,8,6,3,1]=>[1,3,6,8,2,5,7,4]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [2,7,5,3,8,6,4,1]=>[1,4,6,8,3,5,7,2]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [5,6,2,8,3,7,4,1]=>[1,4,7,3,8,2,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [5,7,8,3,2,6,4,1]=>[1,4,6,2,3,8,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [5,6,8,3,2,7,4,1]=>[1,4,7,2,3,8,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [3,6,8,4,2,7,5,1]=>[1,5,7,2,4,8,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [1,5,8,2,7,3,6,4]=>[4,6,3,7,2,8,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,8,4,7,2,3,6,1]=>[1,6,3,2,7,4,8,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [5,6,8,1,3,7,4,2]=>[2,4,7,3,1,8,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [6,7,4,8,1,5,3,2]=>[2,3,5,1,8,4,7,6]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [5,7,2,8,3,6,4,1]=>[1,4,6,3,8,2,7,5]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [1,7,4,8,6,2,5,3]=>[3,5,2,6,8,4,7,1]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [7,4,2,8,6,1,5,3]=>[3,5,1,6,8,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [6,8,5,3,7,2,4,1]=>[1,4,2,7,3,5,8,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,3,1]=>1 [6,8,5,2,3,7,4,1]=>[1,4,7,3,2,5,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [7,5,3,8,2,6,4,1]=>[1,4,6,2,8,3,5,7]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [7,5,2,3,8,6,4,1]=>[1,4,6,8,3,2,5,7]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [3,7,4,5,8,6,2,1]=>[1,2,6,8,5,4,7,3]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [6,7,3,4,8,5,2,1]=>[1,2,5,8,4,3,7,6]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [3,6,4,7,8,5,2,1]=>[1,2,5,8,7,4,6,3]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [6,4,2,7,8,5,3,1]=>[1,3,5,8,7,2,4,6]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [7,4,2,5,8,6,3,1]=>[1,3,6,8,5,2,4,7]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [6,1,8,3,4,7,5,2]=>[2,5,7,4,3,8,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,8,4,2,5,7,3,1]=>[1,3,7,5,2,4,8,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [7,5,8,3,4,6,2,1]=>[1,2,6,4,3,8,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [7,4,5,8,1,6,3,2]=>[2,3,6,1,8,5,4,7]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [6,3,4,7,8,5,2,1]=>[1,2,5,8,7,4,3,6]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [7,8,2,3,4,5,6,9,1]=>[1,9,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [6,1,7,3,4,5,8,2]=>[2,8,5,4,3,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,2,3,4,1,8,6]=>[6,8,1,4,3,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,1,8,4,5,6,3]=>[3,6,5,4,8,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [2,6,8,3,4,5,1,7]=>[7,1,5,4,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,9,2,3,4,5,6,7,10,1]=>[1,10,7,6,5,4,3,2,9,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [6,1,2,7,4,5,8,3]=>[3,8,5,4,7,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,2,3,1,5,8,6]=>[6,8,5,1,3,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,1,3,8,5,6,4]=>[4,6,5,8,3,1,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,6,7,8,4,5,3,1]=>[1,3,5,4,8,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [2,5,8,3,4,1,6,7]=>[7,6,1,4,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,2,7,4,3,8,1]=>[1,8,3,4,7,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,6,7,3,2,5,8,1]=>[1,8,5,2,3,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,7,3,8,5,4,1]=>[1,4,5,8,3,7,6,2]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [2,6,1,8,4,5,3,7]=>[7,3,5,4,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,7,8,4,3,6,1]=>[1,6,3,4,8,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [3,6,8,4,5,7,1,2]=>[2,1,7,5,4,8,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,6,8,4,7,2,3,5]=>[5,3,2,7,4,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [1,4,5,7,8,2,6,3]=>[3,6,2,8,7,5,4,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,4,5,7,8,6,1,2]=>[2,1,6,8,7,5,4,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [3,4,5,7,6,8,1,2]=>[2,1,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,6,7,4,8,5,1,2]=>[2,1,5,8,4,7,6,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [3,4,5,6,8,7,1,2]=>[2,1,7,8,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,4,5,8,7,2,3,6]=>[6,3,2,7,8,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,5,8,3,6,4,7]=>[7,4,6,3,8,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,5,8,6,2,3,7]=>[7,3,2,6,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,8,1,4,6,2,3,5]=>[5,3,2,6,4,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [1,6,7,4,8,2,5,3]=>[3,5,2,8,4,7,6,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [1,4,5,6,8,2,7,3]=>[3,7,2,8,6,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,4,5,8,6,2,7,3]=>[3,7,2,6,8,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,2,5,8,3,4,7,6]=>[6,7,4,3,8,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,6,7,2,3,5,8,4]=>[4,8,5,3,2,7,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,1,2,3,5,4,6]=>[6,4,5,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [1,6,7,2,3,5,4,8]=>[8,4,5,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,7,6,2,3,8]=>[8,3,2,6,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,7,3,6,4,8]=>[8,4,6,3,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,7,3,6,8,4]=>[4,8,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,8,2,3,5,7,4]=>[4,7,5,3,2,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,6,8,4,5,2,3,7]=>[7,3,2,5,4,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,6,8,2,3,4,7,5]=>[5,7,4,3,2,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,6,8,2,3,7,4,5]=>[5,4,7,3,2,8,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,4,5,7,6,2,8,3]=>[3,8,2,6,7,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,8,1,4,5,2,6,3]=>[3,6,2,5,4,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,8,1,2,3,4,6,5]=>[5,6,4,3,2,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,1,2,3,6,4,5]=>[5,4,6,3,2,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [1,6,7,2,3,8,5,4]=>[4,5,8,3,2,7,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,2,5,6,3,8,7,4]=>[4,7,8,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [4,2,1,6,5,3,8,7]=>[7,8,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,4,3,1,8,7,5]=>[5,7,8,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,2,6,3,5,1,8,7]=>[7,8,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,2,1,5,8,7,3]=>[3,7,8,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,6,5,2,1,8,7,3]=>[3,7,8,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,1,6,4,3,8,7,5]=>[5,7,8,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,8,2,1,6,7,3,5]=>[5,3,7,6,1,2,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,2,1,4,3,7,5]=>[5,7,3,4,1,2,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,2,4,3,1,7,5]=>[5,7,1,3,4,2,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,7,2,4,3,1,5]=>[5,1,3,4,2,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [2,1,8,4,6,5,3,7]=>[7,3,5,6,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,1,6,4,8,5,7,3]=>[3,7,5,8,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,6,4,5,8,3,7,1]=>[1,7,3,8,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,4,2,8,3,5,7,1]=>[1,7,5,3,8,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [8,4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,2,6,3,8,7,5,1]=>[1,5,7,8,3,6,2,4]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [6,2,1,4,8,5,7,3]=>[3,7,5,8,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,2,1,8,7,4,3,5]=>[5,3,4,7,8,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [6,2,1,8,4,3,7,5]=>[5,7,3,4,8,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [8,4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,4,8,5,7,2,1,3]=>[3,1,2,7,5,8,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>3 [4,6,8,7,5,2,1,3]=>[3,1,2,5,7,8,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [2,1,4,8,6,7,3,5]=>[5,3,7,6,8,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,6,8,7,4,5,1,3]=>[3,1,5,4,7,8,6,2]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [2,4,8,6,7,5,1,3]=>[3,1,5,7,6,8,4,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [4,2,8,6,5,7,1,3]=>[3,1,7,5,6,8,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [8,4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,6,8,7,2,1,5,3]=>[3,5,1,2,7,8,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [4,6,5,8,2,1,7,3]=>[3,7,1,2,8,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,1,6,8,4,3,7,5]=>[5,7,3,4,8,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,8,7,4,2,1,3,5]=>[5,3,1,2,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [2,8,6,4,7,1,3,5]=>[5,3,1,7,4,6,8,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [2,8,5,3,1,4,6,7]=>[7,6,4,1,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,4,8,3,5,1,6]=>[6,1,5,3,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,7,4,8,3,5,6,1]=>[1,6,5,3,8,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,2,8,4,3,5,1,6]=>[6,1,5,3,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,7,3,8,4,2,5,1]=>[1,5,2,4,8,3,7,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [6,7,3,8,4,2,1,5]=>[5,1,2,4,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,1,8,4,3,5,2,6]=>[6,2,5,3,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,7,8,4,3,5,2,6]=>[6,2,5,3,4,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,4,8,3,5,2,6]=>[6,2,5,3,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,4,8,1,5,6,2,3]=>[3,2,6,5,1,8,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,1,8,4,3,5,6,2]=>[2,6,5,3,4,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [6,7,3,1,8,4,5,2]=>[2,5,4,8,1,3,7,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,7,3,8,4,5,2,1]=>[1,2,5,4,8,3,7,6]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [6,7,1,4,8,3,5,2]=>[2,5,3,8,4,1,7,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,7,4,1,3,8,2,5]=>[5,2,8,3,1,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,6,7,8,4,3,2,5]=>[5,2,3,4,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,2,1,8,4,5,3,6]=>[6,3,5,4,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,2,7,1,8,4,3,5]=>[5,3,4,8,1,7,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,2,7,8,4,3,1,5]=>[5,1,3,4,8,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,2,7,8,4,3,5,1]=>[1,5,3,4,8,7,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [2,6,7,4,8,3,5,1]=>[1,5,3,8,4,7,6,2]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [2,6,7,4,8,3,1,5]=>[5,1,3,8,4,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,8,1,3,6,2,4,5]=>[5,4,2,6,3,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [1,2,7,8,6,3,4,5]=>[5,4,3,6,8,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,6,7,1,8,5,3,4]=>[4,3,5,8,1,7,6,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,6,7,8,5,3,1,4]=>[4,1,3,5,8,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,6,7,8,5,3,4,1]=>[1,4,3,5,8,7,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [6,2,7,8,4,5,3,1]=>[1,3,5,4,8,7,2,6]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [7,2,1,8,4,5,6,3]=>[3,6,5,4,8,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [1,7,2,8,4,5,6,3]=>[3,6,5,4,8,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,7,8,1,5,6,2,4]=>[4,2,6,5,1,8,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,3,7,8,1,5,2,4]=>[4,2,5,1,8,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,7,1,2,8,5,3,4]=>[4,3,5,8,2,1,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,6,7,8,4,2,5,3]=>[3,5,2,4,8,7,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [3,1,2,7,6,5,8,4]=>[4,8,5,6,7,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,2,4,7,3,8,5]=>[5,8,3,7,4,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,5,7,3,2,6,8]=>[8,6,2,3,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,7,3,2,5,8]=>[8,5,2,3,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,8,3,2,5,7]=>[7,5,2,3,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,7,8,6,2,3,5]=>[5,3,2,6,8,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,6,5,7,8,3,4,2]=>[2,4,3,8,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,6,5,8,7,3,4,2]=>[2,4,3,7,8,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,8,1,7,3,5,2,6]=>[6,2,5,3,7,1,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,7,1,6,3,2,5,8]=>[8,5,2,3,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,7,3,4,8,6,2]=>[2,6,8,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,5,8,3,4,7,6,2]=>[2,6,7,4,3,8,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [7,8,5,2,4,1,6,3]=>[3,6,1,4,2,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,1,2,3,5,6,4,8]=>[8,4,6,5,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [3,8,1,2,4,5,7,6]=>[6,7,5,4,2,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,6,4,3,7,5,8,2]=>[2,8,5,7,3,4,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,1,2,6,7,5,8,4]=>[4,8,5,7,6,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [6,1,2,3,5,8,4,7]=>[7,4,8,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,1,2,3,5,7,4,8]=>[8,4,7,5,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,2,3,8,6,1]=>[1,6,8,3,2,5,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,6,2,3,1,5,8,7]=>[7,8,5,1,3,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,2,3,4,5,8,6,1]=>[1,6,8,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [7,3,4,6,8,5,1,2]=>[2,1,5,8,6,4,3,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [3,7,4,5,1,8,6,2]=>[2,6,8,1,5,4,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,8,2,6,7,4,5,1]=>[1,5,4,7,6,2,8,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [4,8,1,5,6,7,3,2]=>[2,3,7,6,5,1,8,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [5,8,2,4,6,7,1,3]=>[3,1,7,6,4,2,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,7,6,1,8,5,2,4]=>[4,2,5,8,1,6,7,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,7,2,3,8,5,1,6]=>[6,1,5,8,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,2,3,8,4,5,1,7]=>[7,1,5,4,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,2,3,6,8,4,1,5]=>[5,1,4,8,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [5,4,8,3,6,7,1,2]=>[2,1,7,6,3,8,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,5,1,8,4,6,7,2]=>[2,7,6,4,8,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,6,1,8,4,5,2,7]=>[7,2,5,4,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,8,3,5,2,7,1]=>[1,7,2,5,3,8,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,8,2,3,1,4,5,7]=>[7,5,4,1,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,2,3,4,8,5,1,6]=>[6,1,5,8,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,7,3,1,4,2,6,8]=>[8,6,2,4,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,3,2,4,5,7,6]=>[6,7,5,4,2,3,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [1,5,3,8,7,6,4,2]=>[2,4,6,7,8,3,5,1]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,2,2,1,1]=>2 [1,2,8,7,5,6,3,4]=>[4,3,6,5,7,8,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [1,4,8,6,5,7,2,3]=>[3,2,7,5,6,8,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,1,6,8,3,4,2,7]=>[7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,2,8,4,3,1,7,5]=>[5,7,1,3,4,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,2,8,1,3,6,5,4]=>[4,5,6,3,1,8,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [1,7,8,5,4,6,3,2]=>[2,3,6,4,5,8,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [5,8,4,3,6,2,1,7]=>[7,1,2,6,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,3,6,5,2,7,4]=>[4,7,2,5,6,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,8,2,4,7,6,5,3]=>[3,5,6,7,4,2,8,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,2,1,1,1]=>3 [3,8,1,4,6,7,5,2]=>[2,5,7,6,4,1,8,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [8,1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [4,1,8,5,2,7,6,3]=>[3,6,7,2,5,8,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [4,8,5,1,3,6,2,7]=>[7,2,6,3,1,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,6,1,5,7,2,8,4]=>[4,8,2,7,5,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,1,2,8,5,7,4]=>[4,7,5,8,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,3,8,7,2,1,4,6]=>[6,4,1,2,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [6,7,3,5,1,4,8,2]=>[2,8,4,1,5,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,7,5,8,2,3,1]=>[1,3,2,8,5,7,4,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [5,7,8,4,2,6,3,1]=>[1,3,6,2,4,8,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [5,4,7,6,2,8,3,1]=>[1,3,8,2,6,7,4,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,7,4,1,6,8,3,2]=>[2,3,8,6,1,4,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,8,4,5,7,1,3,2]=>[2,3,1,7,5,4,8,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,1]=>2 [5,8,4,6,1,7,3,2]=>[2,3,7,1,6,4,8,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [5,6,1,4,7,8,3,2]=>[2,3,8,7,4,1,6,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,6,7,2,4,8,3,1]=>[1,3,8,4,2,7,6,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,6,3,7,4,8,2,1]=>[1,2,8,4,7,3,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,3,6,7,4,8,2,1]=>[1,2,8,4,7,6,3,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,3,2,8,6,7,4,1]=>[1,4,7,6,8,2,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [5,4,8,2,6,7,3,1]=>[1,3,7,6,2,8,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [5,4,8,6,2,7,3,1]=>[1,3,7,2,6,8,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [6,4,8,5,7,2,3,1]=>[1,3,2,7,5,8,4,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,1]=>1 [7,4,8,5,6,2,1,3]=>[3,1,2,6,5,8,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,3,2]=>3 [4,6,8,5,7,2,3,1]=>[1,3,2,7,5,8,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,1]=>1 [5,6,3,8,4,7,2,1]=>[1,2,7,4,8,3,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [4,6,3,5,8,7,2,1]=>[1,2,7,8,5,3,6,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [4,6,3,2,8,7,5,1]=>[1,5,7,8,2,3,6,4]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [5,6,3,8,2,7,4,1]=>[1,4,7,2,8,3,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [3,6,5,8,7,2,4,1]=>[1,4,2,7,8,5,6,3]=>[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>1 [5,3,6,8,2,7,4,1]=>[1,4,7,2,8,6,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [4,3,7,2,8,6,5,1]=>[1,5,6,8,2,7,3,4]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [5,4,7,2,6,8,3,1]=>[1,3,8,6,2,7,4,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,3,2,7,6,8,4,1]=>[1,4,8,6,7,2,3,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [6,7,3,8,5,2,4,1]=>[1,4,2,5,8,3,7,6]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [6,3,2,7,5,4,8,1]=>[1,8,4,5,7,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,7,2,5,3,8,1]=>[1,8,3,5,2,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,7,5,1,4,8,3]=>[3,8,4,1,5,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,7,8,5,3,6,1,4]=>[4,1,6,3,5,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,3,7,8,4,2,5,1]=>[1,5,2,4,8,7,3,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [3,5,7,8,4,6,2,1]=>[1,2,6,4,8,7,5,3]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [5,3,7,8,4,6,2,1]=>[1,2,6,4,8,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [5,7,8,2,4,6,3,1]=>[1,3,6,4,2,8,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [2,5,8,4,3,7,6,1]=>[1,6,7,3,4,8,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [2,6,8,4,7,3,5,1]=>[1,5,3,7,4,8,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [3,7,4,8,6,2,1,5]=>[5,1,2,6,8,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,6,4,8,7,2,5,1]=>[1,5,2,7,8,4,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [3,5,4,8,2,7,6,1]=>[1,6,7,2,8,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,3,7,5,8,6,2,1]=>[1,2,6,8,5,7,3,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [4,5,7,3,8,6,2,1]=>[1,2,6,8,3,7,5,4]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [3,5,6,8,4,7,2,1]=>[1,2,7,4,8,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [6,3,1,8,7,5,4,2]=>[2,4,5,7,8,1,3,6]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,2,1,2,1]=>2 [5,4,8,1,7,6,3,2]=>[2,3,6,7,1,8,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,3,1,1]=>2 [5,8,4,1,7,6,3,2]=>[2,3,6,7,1,4,8,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,3,1,1]=>2 [7,5,4,1,8,6,3,2]=>[2,3,6,8,1,4,5,7]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [8,5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5,8]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,3,1,1]=>2 [1,8,2,5,6,3,4,7]=>[7,4,3,6,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,2,8,4,5,1,3,6]=>[6,3,1,5,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,3,7,5,6,2,4,8]=>[8,4,2,6,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,4,3,5,2,8]=>[8,2,5,3,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,5,2,3,7,4,6]=>[6,4,7,3,2,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,2,5,3,6,7,4]=>[4,7,6,3,5,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,6,8,4,3,5,7,1]=>[1,7,5,3,4,8,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,5,8,3,2,1,6,4]=>[4,6,1,2,3,8,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,2,8,4,1,5,6,3]=>[3,6,5,1,4,8,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,5,8,1,2,6,3,4]=>[4,3,6,2,1,8,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,6,7,4,3,2,8,5]=>[5,8,2,3,4,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,5,2,6,4,7,8,3]=>[3,8,7,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,5,4,6,2,3,7,8]=>[8,7,3,2,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,7,1,4,8,3]=>[3,8,4,1,7,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,4,3,8,1,7,2]=>[2,7,1,8,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [7,3,6,8,5,2,4,1]=>[1,4,2,5,8,6,3,7]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [2,7,8,3,6,5,1,4]=>[4,1,5,6,3,8,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [2,7,8,5,4,6,3,1]=>[1,3,6,4,5,8,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [2,6,5,8,3,4,1,7]=>[7,1,4,3,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,5,7,3,4,1,8]=>[8,1,4,3,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,7,4,1,3,8]=>[8,3,1,4,7,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,8,4,1,3,7]=>[7,3,1,4,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,8,4,6,1,3,5]=>[5,3,1,6,4,8,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [6,1,2,8,3,7,4,5]=>[5,4,7,3,8,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,1,2,8,5,4,7,3]=>[3,7,4,5,8,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,2,5,7,8,1,3,4]=>[4,3,1,8,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [1,5,4,2,6,7,3,8]=>[8,3,7,6,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,7,3,8,1,4]=>[4,1,8,3,7,5,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,2,7,5,8,4,3]=>[3,4,8,5,7,2,6,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,3,2,7,8,5,6,4]=>[4,6,5,8,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,6,2,4,8,7,3,5]=>[5,3,7,8,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,5,2,1,8,7,3,4]=>[4,3,7,8,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,6,5,3,7,8,4,1]=>[1,4,8,7,3,5,6,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [6,2,5,3,8,4,7,1]=>[1,7,4,8,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,5,2,3,8,7,1,4]=>[4,1,7,8,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,4,1,2,3,8,6,7]=>[7,6,8,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,2,3,7,8,6]=>[6,8,7,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,4,2,6,3,8,7]=>[7,8,3,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,6,3,8,2,7,4]=>[4,7,2,8,3,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,6,5,4,1,3,2,9]=>[9,2,3,1,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,9,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,9,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>4 [1,8,7,6,2,5,4,3]=>[3,4,5,2,6,7,8,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>3 [1,10,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,10,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>3 [2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1,1]=>3 [1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1,1]=>3 [3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1]=>4 [1,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1]=>4 [1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1]=>4 [4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1,1]=>5 [1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1,1]=>5 [1,5,4,3,2,9,8,7,6]=>[6,7,8,9,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1]=>6 [1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1]=>6 [1,2,3,5,4,7,6,9,8]=>[8,9,6,7,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [1,2,3,4,5,7,6,9,8]=>[8,9,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1,1,1]=>3 [3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>4 [1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>4 [1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1,1,1]=>5 [1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1,1]=>7 [1,2,3,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,1,1]=>8 [1,2,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [1,2,3,4,6,5,8,7,10,9]=>[9,10,7,8,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [1,2,3,4,5,6,8,7,10,9]=>[9,10,7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7,8]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>3 [9,8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8,9]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1,1]=>5 [9,8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8,9]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [9,8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8,9]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>[6,1,1,1]=>6 [9,2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2,9]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,1,1]=>7 [7,1,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [10,9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9,10]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>3 [10,9,8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8,9,10]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1,1]=>4 [10,9,2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2,9,10]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1,1]=>7 [10,7,1,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,1,7,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0]=>[8,1,1]=>8 [8,1,10,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,1]=>9 [3,4,6,8,2,1,7,5]=>[5,7,1,2,8,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,5,6,2,1,7,8,4]=>[4,8,7,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,4,6,2,7,8,1,5]=>[5,1,8,7,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,5,6,2,1,7,4,8]=>[8,4,7,1,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,1,8,7,2,4]=>[4,2,7,8,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,1,3,8,6,7,4,5]=>[5,4,7,6,8,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,1,8,6,7,5,3]=>[3,5,7,6,8,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [2,5,8,6,1,7,4,3]=>[3,4,7,1,6,8,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [3,5,6,1,8,7,4,2]=>[2,4,7,8,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [3,4,1,6,8,7,5,2]=>[2,5,7,8,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [3,4,6,8,7,1,5,2]=>[2,5,1,7,8,6,4,3]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [8,1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [3,5,1,6,7,8,4,2]=>[2,4,8,7,6,1,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [4,5,6,1,7,8,3,2]=>[2,3,8,7,1,6,5,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,5,6,1,7,3,8,2]=>[2,8,3,7,1,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,1,6,7,4,8,2]=>[2,8,4,7,6,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,1,3,1]=>2 [4,5,6,1,7,3,2,8]=>[8,2,3,7,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,8,7,4,3,1,2]=>[2,1,3,4,7,8,5,6]=>[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>2 [6,4,2,7,8,5,1,3]=>[3,1,5,8,7,2,4,6]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [6,1,4,8,7,5,2,3]=>[3,2,5,7,8,4,1,6]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,6,4,8,7,5,2,3]=>[3,2,5,7,8,4,6,1]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,8,6,2,4,7,3,5]=>[5,3,7,4,2,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,6,2,1,4,8,3,5]=>[5,3,8,4,1,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,4,1,7,8,5,2,3]=>[3,2,5,8,7,1,4,6]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,6,1,2,4,8,3,5]=>[5,3,8,4,2,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,6,1,3,4,8,2,5]=>[5,2,8,4,3,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,8,6,3,4,7,2,5]=>[5,2,7,4,3,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,7,2,5,4,8,3,6]=>[6,3,8,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,1,2,5,4,8,3,6]=>[6,3,8,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,1,5,4,8,3,6]=>[6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,8,6,3,4,7,1,5]=>[5,1,7,4,3,6,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,8,6,1,4,7,3,5]=>[5,3,7,4,1,6,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [7,2,1,5,4,8,3,6]=>[6,3,8,4,5,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,2,7,5,4,8,1,6]=>[6,1,8,4,5,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,8,4,7,3,1,6]=>[6,1,3,7,4,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [2,3,7,5,4,8,1,6]=>[6,1,8,4,5,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,8,3,2,4,7,1,5]=>[5,1,7,4,2,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,7,2,5,4,8,1,6]=>[6,1,8,4,5,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,7,5,4,8,2,6]=>[6,2,8,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,7,5,4,8,2,6]=>[6,2,8,4,5,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,5,8,4,7,3,2,6]=>[6,2,3,7,4,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,1,8,4,7,3,2,6]=>[6,2,3,7,4,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,8,2,4,7,3,1,6]=>[6,1,3,7,4,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,4,3,7,5,1,2]=>[2,1,5,7,3,4,8,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [8,7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7,8]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>3 [8,5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [1,8,5,4,7,3,2,6]=>[6,2,3,7,4,5,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [1,7,3,5,4,8,2,6]=>[6,2,8,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [5,3,7,4,6,8,2,1]=>[1,2,8,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,1,3,2,7,8,5,6]=>[6,5,8,7,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,3,2,7,8,5,6]=>[6,5,8,7,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,3,1,7,8,5,6]=>[6,5,8,7,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,3,5,4,8,1,6]=>[6,1,8,4,5,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,8,5,4,7,3,1,6]=>[6,1,3,7,4,5,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [5,7,3,4,6,8,2,1]=>[1,2,8,6,4,3,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [8,2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,2,3,5,4,8,1,6]=>[6,1,8,4,5,3,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,2,1,4,7,8,5,6]=>[6,5,8,7,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1,8]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [8,6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,1,8,6,4,3,5,2]=>[2,5,3,4,6,8,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [7,4,2,5,1,6,3,8]=>[8,3,6,1,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,5,2,1,4,8]=>[8,4,1,2,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,3,6,5,2,1,8,4]=>[4,8,1,2,5,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,8,6,4,2,1,3]=>[3,1,2,4,6,8,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>3 [5,4,2,8,1,3,7,6]=>[6,7,3,1,8,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,2,6,4,1,3,7]=>[7,3,1,4,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,2,5,1,8,3,7]=>[7,3,8,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,5,2,1,4,7,8]=>[8,7,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,8,6,3,1,4,7]=>[7,4,1,3,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,3,5,8,1,4,7,6]=>[6,7,4,1,8,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,3,6,8,1,5,7,4]=>[4,7,5,1,8,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,3,8,5,2,7,1,4]=>[4,1,7,2,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,3,7,5,2,1,4,8]=>[8,4,1,2,5,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,7,6,3,1,4,8]=>[8,4,1,3,6,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,7,6,3,1,5,4]=>[4,5,1,3,6,7,8,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [2,5,8,7,6,3,1,4]=>[4,1,3,6,7,8,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [2,4,8,1,6,5,7,3]=>[3,7,5,6,1,8,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,8,7,3,6,1,4,5]=>[5,4,1,6,3,7,8,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [7,3,5,2,1,4,6,8]=>[8,6,4,1,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,3,6,8,1,4,7,5]=>[5,7,4,1,8,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,7,8,6,3,1,4,5]=>[5,4,1,3,6,8,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [7,3,8,5,2,1,4,6]=>[6,4,1,2,5,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,3,6,1,8,4,7,5]=>[5,7,4,8,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,8,6,3,1,4,5,7]=>[7,5,4,1,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,4,8,1,3,7,5,6]=>[6,5,7,3,1,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,5,8,1,7,3,6,4]=>[4,6,3,7,1,8,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [2,8,1,5,7,3,6,4]=>[4,6,3,7,5,1,8,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [8,3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [3,8,6,1,4,7,5,2]=>[2,5,7,4,1,6,8,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [2,6,8,1,5,7,3,4]=>[4,3,7,5,1,8,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,7,1,5,8,3,4,6]=>[6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,1,6,3,8,4,5]=>[5,4,8,3,6,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,7,6,1,8,5,2,3]=>[3,2,5,8,1,6,7,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,7,5,8,1,2,6,4]=>[4,6,2,1,8,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,3,6,1,2,8,4,5]=>[5,4,8,2,1,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,4,8,1,6,5,2,3]=>[3,2,5,6,1,8,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,4,6,1,8,2,5,3]=>[3,5,2,8,1,6,4,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,4,5,8,6,1,2,3]=>[3,2,1,6,8,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>3 [6,8,4,5,1,7,2,3]=>[3,2,7,1,5,4,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,6,8,5,1,7,2,3]=>[3,2,7,1,5,8,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,1,7,6,2,3,8,4]=>[4,8,3,2,6,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,7,6,2,8,3,4]=>[4,3,8,2,6,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,1,8,7,6,2,3,4]=>[4,3,2,6,7,8,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [8,5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [3,6,1,8,4,7,5,2]=>[2,5,7,4,8,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [4,6,1,8,7,5,2,3]=>[3,2,5,7,8,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [8,4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [4,8,5,1,7,2,3,6]=>[6,3,2,7,1,5,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [4,5,1,8,7,2,3,6]=>[6,3,2,7,8,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,8,7,1,2,5,6]=>[6,5,2,1,7,8,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,8,4,1,7,2,3,6]=>[6,3,2,7,1,4,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [6,4,8,7,1,2,5,3]=>[3,5,2,1,7,8,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [5,6,8,3,7,1,4,2]=>[2,4,1,7,3,8,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [6,4,7,1,2,8,5,3]=>[3,5,8,2,1,7,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [6,5,1,2,7,3,8,4]=>[4,8,3,7,2,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,5,1,8,2,7,3,4]=>[4,3,7,2,8,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [8,6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [6,5,1,8,7,2,3,4]=>[4,3,2,7,8,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [6,5,1,7,2,8,3,4]=>[4,3,8,2,7,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,1,7,2,3,8,4]=>[4,8,3,2,7,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,7,4,1,8,2,3,6]=>[6,3,2,8,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,6,8,7,4,1,2,3]=>[3,2,1,4,7,8,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [6,8,5,7,4,1,2,3]=>[3,2,1,4,7,5,8,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [7,3,8,1,5,2,4,6]=>[6,4,2,5,1,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,1,7,5,3,6,2,8]=>[8,2,6,3,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,4,2,3,6,7,5]=>[5,7,6,3,2,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,5,8,3,4,6,7,1]=>[1,7,6,4,3,8,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,1,7,2,3,6,8,5]=>[5,8,6,3,2,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,6,2,1,5,7,8,3]=>[3,8,7,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,2,3,1,7,8,6]=>[6,8,7,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,6,7,4,1,8,5]=>[5,8,1,4,7,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,6,2,7,1,4,8,3]=>[3,8,4,1,7,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,2,3,8,1,7,4,5]=>[5,4,7,1,8,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,6,8,3,4,7,1,5]=>[5,1,7,4,3,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,6,2,7,5,1,3,8]=>[8,3,1,5,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,1,8,4,5,7]=>[7,5,4,8,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,3,7,8,1,5,6]=>[6,5,1,8,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,2,7,4,8,1,6]=>[6,1,8,4,7,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,1,2,7,6,8,4,3]=>[3,4,8,6,7,2,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,6,3,1,8,7,4,5]=>[5,4,7,8,1,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,5,6,4,7,8,1,2]=>[2,1,8,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,3,6,4,2,8,7,1]=>[1,7,8,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,4,2,3,7,8,6,1]=>[1,6,8,7,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,1,8,2,5,7,3,6]=>[6,3,7,5,2,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,1,8,4,7,2,5,6]=>[6,5,2,7,4,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [6,2,3,8,4,1,7,5]=>[5,7,1,4,8,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,2,7,6,4,1,8,5]=>[5,8,1,4,6,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,1,4,7,8,3,5]=>[5,3,8,7,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,2,3,7,8,1,6,5]=>[5,6,1,8,7,3,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,8,3,1,7,2,4,6]=>[6,4,2,7,1,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,3,1,5,2,4,7]=>[7,4,2,5,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,2,7,1,6,3,5,8]=>[8,5,3,6,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,7,4,2,6,3,8]=>[8,3,6,2,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,4,2,1,5,3,7]=>[7,3,5,1,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,5,2,1,7,3,4]=>[4,3,7,1,2,5,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,8,2,1,4,7,3,6]=>[6,3,7,4,1,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,3,2,5,1,7,4]=>[4,7,1,5,2,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,8,4,3,1,5,7,2]=>[2,7,5,1,3,4,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,8,4,2,1,5,7,3]=>[3,7,5,1,2,4,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,8,3,2,1,4,5,7]=>[7,5,4,1,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,1,7,3,2,4,6,8]=>[8,6,4,2,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,8,3,6,7,4]=>[4,7,6,3,8,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,3,8,1,6,2,7,5]=>[5,7,2,6,1,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,4,7,2,1,6,8,3]=>[3,8,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,2,1,7,3,4,8,6]=>[6,8,4,3,7,1,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,4,3,1,7,5,8,2]=>[2,8,5,7,1,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,1,7,2,6,8,4]=>[4,8,6,2,7,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,1,7,6,4,8,5]=>[5,8,4,6,7,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,1,6,5,8,3,7]=>[7,3,8,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,1,8,5,7,3,6]=>[6,3,7,5,8,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,4,3,1,8,5,6,2]=>[2,6,5,8,1,3,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,4,2,1,8,5,6,3]=>[3,6,5,8,1,2,4,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [6,3,2,1,7,4,5,8]=>[8,5,4,7,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,1,7,5,3,8]=>[8,3,5,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,1,8,6,3,4]=>[4,3,6,8,1,2,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,1,8,4,2,7,3,5]=>[5,3,7,2,4,8,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,2,1,8,3,7,4,5]=>[5,4,7,3,8,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,2,1,7,3,6,4,8]=>[8,4,6,3,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,7,6,1,4,8]=>[8,4,1,6,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,8,6,1,4,7]=>[7,4,1,6,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,2,8,7,1,4,5]=>[5,4,1,7,8,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [4,2,8,1,7,3,5,6]=>[6,5,3,7,1,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,8,7,2,1,5,6]=>[6,5,1,2,7,8,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,1,5,8,4,7,3,6]=>[6,3,7,4,8,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,2,5,8,1,6,7]=>[7,6,1,8,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,2,5,7,1,6,8]=>[8,6,1,7,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,6,2,7,5,8]=>[8,5,7,2,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,7,2,8,5,6]=>[6,5,8,2,7,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,4,1,7,2,8,6,3]=>[3,6,8,2,7,1,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [6,5,3,1,7,8,4,2]=>[2,4,8,7,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,4,2,1,7,8,3,5]=>[5,3,8,7,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,2,1,6,7,3,8]=>[8,3,7,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,1,6,7,4,8]=>[8,4,7,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,1,7,8,5,3]=>[3,5,8,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,3,2,6,8,1,7,4]=>[4,7,1,8,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,2,1,4,8,7,5,6]=>[6,5,7,8,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,2,1,4,6,8,5,7]=>[7,5,8,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,6,1,7,8,5]=>[5,8,7,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,2,1,6,7,8,4]=>[4,8,7,6,1,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,2,8,3,7,4,6,1]=>[1,6,4,7,3,8,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [6,2,8,5,4,7,3,1]=>[1,3,7,4,5,8,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [1,8,6,3,7,4,2,5]=>[5,2,4,7,3,6,8,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,6,5,7,2,3,4]=>[4,3,2,7,5,6,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [5,2,8,4,3,6,7,1]=>[1,7,6,3,4,8,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,4,2,7,3,6,1,8]=>[8,1,6,3,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,8,3,6,1,7]=>[7,1,6,3,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,3,8,4,7,2,1]=>[1,2,7,4,8,3,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [5,2,8,4,3,7,1,6]=>[6,1,7,3,4,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,2,8,3,7,4,1,5]=>[5,1,4,7,3,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [5,4,2,7,3,1,8,6]=>[6,8,1,3,7,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,4,3,7,1,2,8,5]=>[5,8,2,1,7,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,3,8,1,2,7,5]=>[5,7,2,1,8,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,6,3,8,4,2,1,5]=>[5,1,2,4,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,2,8,5,1,6,3,4]=>[4,3,6,1,5,8,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,2,8,4,3,1,5,6]=>[6,5,1,3,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,5,3,8,4,2,6,1]=>[1,6,2,4,8,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,4,2,7,3,1,5,8]=>[8,5,1,3,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,8,2,3,5,1]=>[1,5,3,2,8,4,6,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [7,6,8,1,2,5,3,4]=>[4,3,5,2,1,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [5,3,1,7,8,4,6,2]=>[2,6,4,8,7,1,3,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,3,2,7,8,4,6,1]=>[1,6,4,8,7,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,4,1,6,3,8,7,2]=>[2,7,8,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,5,1,7,8,2,3,4]=>[4,3,2,8,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,3,1,7,8,4,2,5]=>[5,2,4,8,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,3,2,7,8,4,1,5]=>[5,1,4,8,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,1,5,4,3,2,8,7]=>[7,8,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7,8]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [6,5,2,7,1,4,8,3]=>[3,8,4,1,7,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,4,6,1,3,2,8,5]=>[5,8,2,3,1,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,7,5,6,1,8,2]=>[2,8,1,6,5,7,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,1,7,6,2,8,3]=>[3,8,2,6,7,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,7,6,1,3,4,8,5]=>[5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,2,1,6,3,8,4]=>[4,8,3,6,1,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,2,5,6,3,8,1]=>[1,8,3,6,5,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6,8]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>3 [2,7,4,5,3,8,1,6]=>[6,1,8,3,5,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,8,7,1,3,2,5,4]=>[4,5,2,3,1,7,8,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [2,8,6,5,7,1,4,3]=>[3,4,1,7,5,6,8,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [3,5,7,6,2,8,1,4]=>[4,1,8,2,6,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,5,6,1,2,8,7,3]=>[3,7,8,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [3,1,2,6,8,4,7,5]=>[5,7,4,8,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,1,3,2,7,8,4,6]=>[6,4,8,7,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,5,4,2,7,8,3,6]=>[6,3,8,7,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,6,2,8,4,3,1,5]=>[5,1,3,4,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [5,2,8,6,3,4,7,1]=>[1,7,4,3,6,8,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,6,8,4,3,2,7,1]=>[1,7,2,3,4,8,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,3,8,1,7,2,4,6]=>[6,4,2,7,1,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,6,7,8,4,2,1,5]=>[5,1,2,4,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [1,5,8,3,2,6,7,4]=>[4,7,6,2,3,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,8,7,2,1,6,3,5]=>[5,3,6,1,2,7,8,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [2,8,1,6,3,4,7,5]=>[5,7,4,3,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,4,7,2,5,8,1,3]=>[3,1,8,5,2,7,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,7,4,3,6,1,8,2]=>[2,8,1,6,3,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,1,7,8,4,5,3]=>[3,5,4,8,7,1,2,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,6,3,1,5,4,8,2]=>[2,8,4,5,1,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,4,6,5,1,7,8,3]=>[3,8,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,7,5,6,8,2,3]=>[3,2,8,6,5,7,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,7,5,2,4,6,8,1]=>[1,8,6,4,2,5,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,1,7,4,2,8,3]=>[3,8,2,4,7,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,7,4,8,1,2,6,5]=>[5,6,2,1,8,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,4,7,8,2,1,3,5]=>[5,3,1,2,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [2,7,8,3,4,6,1,5]=>[5,1,6,4,3,8,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,7,5,8,3,1,2,6]=>[6,2,1,3,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,3,1,6,8,4,2]=>[2,4,8,6,1,3,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [2,7,3,1,8,6,4,5]=>[5,4,6,8,1,3,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,6,8,1,2,4,3,5]=>[5,3,4,2,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [7,6,8,5,1,3,2,4]=>[4,2,3,1,5,8,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>4 [2,8,5,4,6,1,7,3]=>[3,7,1,6,4,5,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [8,7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7,8]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>3 [5,7,2,3,6,8,1,4]=>[4,1,8,6,3,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [3,4,6,7,5,8,1,2]=>[2,1,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [2,6,4,5,7,8,3,1]=>[1,3,8,7,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,3,5,7,1,4,8,2]=>[2,8,4,1,7,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,3,4,6,8,1,5,2]=>[2,5,1,8,6,4,3,7]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,5,2,8,4,1,3,6]=>[6,3,1,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,6,4,1,8,2,5]=>[5,2,8,1,4,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [5,8,1,6,7,3,4,2]=>[2,4,3,7,6,1,8,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [6,7,2,5,1,8,4,3]=>[3,4,8,1,5,2,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,8,2,1,6,7,4,3]=>[3,4,7,6,1,2,8,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [3,6,1,2,5,8,4,7]=>[7,4,8,5,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,6,4,5,8,3,7]=>[7,3,8,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,6,1,4,8,3,7]=>[7,3,8,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,1,8,4,7,3,6]=>[6,3,7,4,8,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,7,1,4,3,6,8,5]=>[5,8,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [2,5,4,8,1,3,7,6]=>[6,7,3,1,8,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,7,3,5,8,2,6,4]=>[4,6,2,8,5,3,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,8,4,2,6,7,3,5]=>[5,3,7,6,2,4,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,1,6,8,7,2,4,5]=>[5,4,2,7,8,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [4,1,7,2,6,8,3,5]=>[5,3,8,6,2,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,1,2,5,3,6,8,4]=>[4,8,6,3,5,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,4,1,2,7,8,3,6]=>[6,3,8,7,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,3,1,2,4,6,8,5]=>[5,8,6,4,2,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,8,3,4,7,2,5,6]=>[6,5,2,7,4,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,6,8,1,2,4,7,5]=>[5,7,4,2,1,8,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,1,3,8,7,2,6,5]=>[5,6,2,7,8,3,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,3,7,4,8,2,6,5]=>[5,6,2,8,4,7,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,4,6,8,2,3,7,5]=>[5,7,3,2,8,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,1,5,8,2,3,7,4]=>[4,7,3,2,8,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,8,3,2,7,5,6,4]=>[4,6,5,7,2,3,8,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [3,7,2,8,6,1,5,4]=>[4,5,1,6,8,2,7,3]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [5,1,7,8,4,2,6,3]=>[3,6,2,4,8,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,1,8,7,4,2,6,3]=>[3,6,2,4,7,8,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [4,7,2,8,3,6,5,1]=>[1,5,6,3,8,2,7,4]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [4,1,7,8,5,3,6,2]=>[2,6,3,5,8,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [5,1,7,4,8,3,6,2]=>[2,6,3,8,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,1,8,7,5,3,6,2]=>[2,6,3,5,7,8,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [4,8,2,7,3,6,5,1]=>[1,5,6,3,7,2,8,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,1,1,1]=>1 [4,7,2,6,3,5,8,1]=>[1,8,5,3,6,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,8,2,4,3,7,5,1]=>[1,5,7,3,4,2,8,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [6,7,2,4,3,8,5,1]=>[1,5,8,3,4,2,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,8,2,7,3,5,4,1]=>[1,4,5,3,7,2,8,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,3,1,2,1]=>1 [3,8,7,2,4,1,5,6]=>[6,5,1,4,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,7,8,2,4,1,5,6]=>[6,5,1,4,2,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [3,6,8,2,4,5,7,1]=>[1,7,5,4,2,8,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,6,7,2,4,5,8,1]=>[1,8,5,4,2,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,1,4,2,3,8,7]=>[7,8,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6,8]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>3 [8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [2,1,8,7,3,6,4,5]=>[5,4,6,3,7,8,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,6,5,8,2,4,7,1]=>[1,7,4,2,8,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,2,1,8,7,3,4,6]=>[6,4,3,7,8,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [6,5,2,7,4,3,8,1]=>[1,8,3,4,7,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,6,5,2,7,3,8,1]=>[1,8,3,7,2,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,7,1,8,3,5,4]=>[4,5,3,8,1,7,2,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,7,5,4,8,3,6,1]=>[1,6,3,8,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [8,4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [7,1,6,2,3,8,5,4]=>[4,5,8,3,2,6,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,8,1,4,7,5,2,6]=>[6,2,5,7,4,1,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5,8]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [4,6,7,8,2,3,5,1]=>[1,5,3,2,8,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [7,6,1,3,5,2,8,4]=>[4,8,2,5,3,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,3,2,4,6,1,7]=>[7,1,6,4,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,8,7,6,5,2,3,1]=>[1,3,2,5,6,7,8,4]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>1 [2,1,8,6,4,3,7,5]=>[5,7,3,4,6,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,1,7,6,5,3,8,4]=>[4,8,3,5,6,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,6,1,3,5,8,4]=>[4,8,5,3,1,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,2,5,4,6,1,8,3]=>[3,8,1,6,4,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,6,1,2,5,8,3]=>[3,8,5,2,1,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,1,7,6,8,5,3]=>[3,5,8,6,7,1,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,5,4,3,1,8,6,2]=>[2,6,8,1,3,4,5,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [8,4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [6,3,5,4,1,7,8,2]=>[2,8,7,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,7,5,3,8,2,4,6]=>[6,4,2,8,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,7,4,5,8,3,2,6]=>[6,2,3,8,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,2,6,4,7,8,3,5]=>[5,3,8,7,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,5,3,1,8,4,6]=>[6,4,8,1,3,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,6,4,7,8,1,5,2]=>[2,5,1,8,7,4,6,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,3,6,7,1,8,2,5]=>[5,2,8,1,7,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,6,4,1,7,8,5]=>[5,8,7,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,4,5,2,1,8,6]=>[6,8,1,2,5,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,6,4,7,2,8,5]=>[5,8,2,7,4,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,4,7,2,8,5,1]=>[1,5,8,2,7,4,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,1,3,4,2,7,8,6]=>[6,8,7,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,1,7,3,8,2,5,4]=>[4,5,2,8,3,7,1,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,6,7,3,8,2,5,4]=>[4,5,2,8,3,7,6,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,1,4,7,8,5,2,3]=>[3,2,5,8,7,4,1,6]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [6,3,2,1,7,8,5,4]=>[4,5,8,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,2,7,3,1,8,5,4]=>[4,5,8,1,3,7,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,2,4,7,8,1,5,3]=>[3,5,1,8,7,4,2,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,6,7,3,1,8,5,4]=>[4,5,8,1,3,7,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,4,7,8,3,2,5,1]=>[1,5,2,3,8,7,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [3,8,4,7,1,2,5,6]=>[6,5,2,1,7,4,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,8,5,7,4,2,3,1]=>[1,3,2,4,7,5,8,6]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,1,3,1]=>1 [2,3,8,7,1,6,4,5]=>[5,4,6,1,7,8,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [4,3,7,8,1,6,2,5]=>[5,2,6,1,8,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,8,1,2,7,4,5,3]=>[3,5,4,7,2,1,8,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [5,6,8,4,1,3,7,2]=>[2,7,3,1,4,8,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,4,8,7,5,6,1,3]=>[3,1,6,5,7,8,4,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [6,4,8,7,5,1,2,3]=>[3,2,1,5,7,8,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [5,7,1,8,4,6,2,3]=>[3,2,6,4,8,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [6,3,8,7,2,1,4,5]=>[5,4,1,2,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [2,3,7,8,5,6,1,4]=>[4,1,6,5,8,7,3,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,7,6,8,5,1,2,4]=>[4,2,1,5,8,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,6,7,8,5,1,3,4]=>[4,3,1,5,8,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,4,7,8,1,6,3,5]=>[5,3,6,1,8,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,4,7,8,2,6,3,1]=>[1,3,6,2,8,7,4,5]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [2,8,3,4,1,5,7,6]=>[6,7,5,1,4,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,3,4,1,2,7,5]=>[5,7,2,1,4,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,7,1,5,2,3,4]=>[4,3,2,5,1,7,8,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [5,8,3,2,7,6,1,4]=>[4,1,6,7,2,3,8,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,5,3,2,8,6,7,1]=>[1,7,6,8,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [3,5,8,6,1,4,7,2]=>[2,7,4,1,6,8,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,8,2,3,7,6,1,4]=>[4,1,6,7,3,2,8,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,6,8,5,3,2,7,1]=>[1,7,2,3,5,8,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,6,4,8,5,2,1,3]=>[3,1,2,5,8,4,6,7]=>[1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [3,4,8,6,5,2,7,1]=>[1,7,2,5,6,8,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,4,8,7,5,6,2,1]=>[1,2,6,5,7,8,4,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,4,1,1]=>1 [7,5,3,2,8,6,1,4]=>[4,1,6,8,2,3,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,5,1,3,8,6,7,4]=>[4,7,6,8,3,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,5,1,2,8,6,7,3]=>[3,7,6,8,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,4,8,1,3,6,7,2]=>[2,7,6,3,1,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [8,3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4,8]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4,8]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,1]=>2 [7,2,1,4,5,8,3,6]=>[6,3,8,5,4,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,5,2,1,3,8,6]=>[6,8,3,1,2,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,7,2,3,6,4,8,1]=>[1,8,4,6,3,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,2,4,8,3,6,1]=>[1,6,3,8,4,2,7,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,1,7,2,5,8,4,6]=>[6,4,8,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,8,7,6,1,2,5,3]=>[3,5,2,1,6,7,8,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [7,8,6,1,3,2,5,4]=>[4,5,2,3,1,6,8,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [5,8,6,4,2,3,1,7]=>[7,1,3,2,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,1,2,5,7,4,6]=>[6,4,7,5,2,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,5,4,2,7,3,1]=>[1,3,7,2,4,5,8,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [4,6,8,7,3,1,5,2]=>[2,5,1,3,7,8,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [4,1,3,8,7,5,6,2]=>[2,6,5,7,8,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [6,2,7,4,8,1,3,5]=>[5,3,1,8,4,7,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,3,2,6,8,1,7,5]=>[5,7,1,8,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,1,5,6,3,8,2,4]=>[4,2,8,3,6,5,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,1,2,4,7,8,3,6]=>[6,3,8,7,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,4,2,8,1,6,7]=>[7,6,1,8,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,8,7,3,5,4,1]=>[1,4,5,3,7,8,2,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>1 [7,1,8,4,3,6,5,2]=>[2,5,6,3,4,8,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [5,6,8,1,7,3,2,4]=>[4,2,3,7,1,8,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [3,1,6,8,7,4,2,5]=>[5,2,4,7,8,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [6,5,8,4,3,1,2,7]=>[7,2,1,3,4,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,2,3,6,4,1,7]=>[7,1,4,6,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,5,8,7,4,2,6,1]=>[1,6,2,4,7,8,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [7,5,1,8,4,2,6,3]=>[3,6,2,4,8,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,6,8,5,2,7,4,1]=>[1,4,7,2,5,8,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [2,1,6,5,4,8,3,7]=>[7,3,8,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,7,8,4,6,5,3]=>[3,5,6,4,8,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [2,1,7,4,3,5,8,6]=>[6,8,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,7,8,4,6,1,2]=>[2,1,6,4,8,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [7,5,2,8,4,6,3,1]=>[1,3,6,4,8,2,5,7]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [8,6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,8,2,4,3,1,5,6]=>[6,5,1,3,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,6,3,8,1,5,4,2]=>[2,4,5,1,8,3,6,7]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [6,2,7,1,3,5,8,4]=>[4,8,5,3,1,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,8,2,3,5,4,7]=>[7,4,5,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,2,4,1,6,3,8,5]=>[5,8,3,6,1,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [7,3,1,4,6,8,5,2]=>[2,5,8,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [7,3,8,5,2,6,4,1]=>[1,4,6,2,5,8,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [4,3,8,7,1,6,5,2]=>[2,5,6,1,7,8,3,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [4,7,1,8,5,2,6,3]=>[3,6,2,5,8,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,3,2,4,7,8,6,1]=>[1,6,8,7,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,3,4,2,8,7,1,6]=>[6,1,7,8,2,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,4,3,6,8,1,7]=>[7,1,8,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,8,6,5,4,1,2,7]=>[7,2,1,4,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,7,5,6,3,8,2,1]=>[1,2,8,3,6,5,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,8,5,7,2,3,1,6]=>[6,1,3,2,7,5,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,2,7,5,8,3,6,1]=>[1,6,3,8,5,7,2,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,8,5,7,1,4,6,2]=>[2,6,4,1,7,5,8,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [5,8,2,7,3,4,6,1]=>[1,6,4,3,7,2,8,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [6,8,2,5,4,3,1,7]=>[7,1,3,4,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,7,2,4,5,3,8,1]=>[1,8,3,5,4,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,2,8,3,6,1,4]=>[4,1,6,3,8,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,1,3,6,4,2,8,7]=>[7,8,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,8,7,4,6,2,3]=>[3,2,6,4,7,8,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [6,8,3,7,5,4,2,1]=>[1,2,4,5,7,3,8,6]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,2,1,2,1]=>1 [6,1,3,4,7,5,8,2]=>[2,8,5,7,4,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,2,1,4,8,5,7]=>[7,5,8,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,2,3,1,4,7,8,5]=>[5,8,7,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,1,4,8,7,5,3]=>[3,5,7,8,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [6,2,8,3,5,7,4,1]=>[1,4,7,5,3,8,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [5,2,1,3,6,4,8,7]=>[7,8,4,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,1,8,3,5,4,6,2]=>[2,6,4,5,3,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [7,1,2,4,8,5,6,3]=>[3,6,5,8,4,2,1,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,1,3,2,4,8,6,5]=>[5,6,8,4,2,3,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [7,2,1,3,4,5,8,6]=>[6,8,5,4,3,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,1,6,4,3,2,8,7]=>[7,8,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3,8]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [6,3,8,7,5,2,1,4]=>[4,1,2,5,7,8,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1,1,1]=>2 [7,6,8,1,5,4,3,2]=>[2,3,4,5,1,8,6,7]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>2 [7,1,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,1,1,2,1]=>2 [6,1,9,8,7,5,4,3,2]=>[2,3,4,5,7,8,9,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,1,1,2,1,1]=>2 [5,4,8,7,6,1,3,2]=>[2,3,1,6,7,8,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>2 [5,1,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,1,2,1,1,1]=>2 [4,1,9,8,7,6,5,3,2]=>[2,3,5,6,7,8,9,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,1,2,1,1,1,1]=>2 [3,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1,1,1]=>2 [10,1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>2 [9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>2 [7,6,1,8,5,4,3,2]=>[2,3,4,5,8,1,6,7]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,3]=>2 [6,5,8,1,7,4,3,2]=>[2,3,4,7,1,8,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,1,3,1]=>2 [7,1,10,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,10,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,1,1,1,2,1,1]=>2 [6,5,8,7,4,1,3,2]=>[2,3,1,4,7,8,5,6]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>2 [5,1,10,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,10,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,1,1,2,1,1,1,1]=>2 [3,2,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1,1,1]=>1 [3,1,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1,1,1,1]=>2 [1,6,4,8,3,2,5,7]=>[7,5,2,3,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,1,4,8,2,3,5,7]=>[7,5,3,2,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,8,2,5,4,7,3,6]=>[6,3,7,4,5,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,7,4,1,2,3,8,6]=>[6,8,3,2,1,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,7,4,2,1,3,8,5]=>[5,8,3,1,2,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,3,8,5,7,1,2]=>[2,1,7,5,8,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,4,3,6,2,1,5,8]=>[8,5,1,2,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,5,3,4,1,6,8]=>[8,6,1,4,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,4,3,1,5,6,8]=>[8,6,5,1,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,4,2,3,1,5,7]=>[7,5,1,3,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,7,5,2,4,1,6,8]=>[8,6,1,4,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,7,4,8,3,5,6]=>[6,5,3,8,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,5,2,4,7,1,3,8]=>[8,3,1,7,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,5,1,8,2,3]=>[3,2,8,1,5,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,4,1,2,8,3,5,6]=>[6,5,3,8,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,8,1,3,5,7,2,6]=>[6,2,7,5,3,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,5,8,1,3,7,2,4]=>[4,2,7,3,1,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [2,8,1,4,7,3,5,6]=>[6,5,3,7,4,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,1,8,5,4,7,6,2]=>[2,6,7,4,5,8,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,5,1,8,2,7,6,3]=>[3,6,7,2,8,1,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,8,5,3,1,7,6,2]=>[2,6,7,1,3,5,8,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [4,5,2,8,1,7,6,3]=>[3,6,7,1,8,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,5,2,1,8,7,6,3]=>[3,6,7,8,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [5,6,2,7,8,1,4,3]=>[3,4,1,8,7,2,6,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [4,6,2,8,7,1,5,3]=>[3,5,1,7,8,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [4,8,6,3,7,5,1,2]=>[2,1,5,7,3,6,8,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [4,6,8,2,7,5,1,3]=>[3,1,5,7,2,8,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [5,6,2,7,4,1,8,3]=>[3,8,1,4,7,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,6,7,2,3,1,8,4]=>[4,8,1,3,2,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,7,2,1,8,3,4]=>[4,3,8,1,2,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,7,2,1,3,8,4]=>[4,8,3,1,2,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,1,7,2,4,8,3]=>[3,8,4,2,7,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,6,8,7,3,5,2]=>[2,5,3,7,8,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [5,6,1,7,8,4,2,3]=>[3,2,4,8,7,1,6,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [4,6,8,1,7,5,2,3]=>[3,2,5,7,1,8,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [5,6,7,1,3,8,2,4]=>[4,2,8,3,1,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,6,7,3,1,2,8,4]=>[4,8,2,1,3,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,7,3,8,1,2,4]=>[4,2,1,8,3,7,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [1,4,8,6,3,2,5,7]=>[7,5,2,3,6,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,6,3,1,5,8,4,2]=>[2,4,8,5,1,3,6,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,4,5,6,1,8,3,2]=>[2,3,8,1,6,5,4,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [3,2,7,6,1,8,5,4]=>[4,5,8,1,6,7,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [4,7,5,1,6,8,2,3]=>[3,2,8,6,1,5,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,2,5,1,4,8,7,6]=>[6,7,8,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [8,5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [1,4,2,3,6,8,7,5]=>[5,7,8,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [5,4,8,3,7,1,6,2]=>[2,6,1,7,3,8,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,7,1,8,2,5,3,6]=>[6,3,5,2,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,2,5,4,7,8,1,6]=>[6,1,8,7,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1,8]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [3,1,7,6,5,8,2,4]=>[4,2,8,5,6,7,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,2,7,5,6,8,3,4]=>[4,3,8,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,2,1,7,6,8,4,5]=>[5,4,8,6,7,1,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,7,5,3,1,8,6,2]=>[2,6,8,1,3,5,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,5,3,6,8,1,7,2]=>[2,7,1,8,6,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,6,3,5,7,2,8,4]=>[4,8,2,7,5,3,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,4,2,6,8,7,1,3]=>[3,1,7,8,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,8,4,3,1,2,6,5]=>[5,6,2,1,3,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,5,1,4,3,2,8,7]=>[7,8,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,5,1,4,7,3,8]=>[8,3,7,4,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,4,5,2,1,8,7]=>[7,8,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,7,4,1,3,8,6,2]=>[2,6,8,3,1,4,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,5,4,2,3,8,1,6]=>[6,1,8,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,2,6,7,3,1,4,8]=>[8,4,1,3,7,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,8,6,1,5,7]=>[7,5,1,6,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,8,1,3,5,6,2,4]=>[4,2,6,5,3,1,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,3,1,5,6,2,4]=>[4,2,6,5,1,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,1,3,8,5,6,2,4]=>[4,2,6,5,8,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,7,8,3,5,6,2,4]=>[4,2,6,5,3,8,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,1,7,8,3,4,6,2]=>[2,6,4,3,8,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,5,7,8,3,4,6,2]=>[2,6,4,3,8,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,7,1,5,8,6,2,4]=>[4,2,6,8,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,3,7,8,2,5,6,4]=>[4,6,5,2,8,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,1,7,8,5,2,6,4]=>[4,6,2,5,8,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,3,7,5,8,2,6,4]=>[4,6,2,8,5,7,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,1,7,5,8,2,6,4]=>[4,6,2,8,5,7,1,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,5,7,1,8,4,6,2]=>[2,6,4,8,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [3,5,7,8,1,4,6,2]=>[2,6,4,1,8,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [5,3,7,8,4,6,1,2]=>[2,1,6,4,8,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [5,3,7,8,4,1,6,2]=>[2,6,1,4,8,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [5,3,7,8,1,4,6,2]=>[2,6,4,1,8,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [5,3,7,1,8,4,6,2]=>[2,6,4,8,1,7,3,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,5,3,7,8,4,2,6]=>[6,2,4,8,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,1,3,7,8,4,2,6]=>[6,2,4,8,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,6,2,1,4,5,8,7]=>[7,8,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,2,5,1,3,8,7]=>[7,8,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,8,2,7,3,1,4,5]=>[5,4,1,3,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [6,8,2,3,7,1,4,5]=>[5,4,1,7,3,2,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [8,6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [5,2,8,1,7,3,4,6]=>[6,4,3,7,1,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,2,3,8,1,5,6,7]=>[7,6,5,1,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,8,3,7,1,4,6]=>[6,4,1,7,3,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [2,1,5,8,4,3,6,7]=>[7,6,3,4,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,8,3,2,7,1,4,6]=>[6,4,1,7,2,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,5,8,2,7,1,4,6]=>[6,4,1,7,2,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,8,2,6,1,3,7]=>[7,3,1,6,2,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,8,3,7,2,4,6]=>[6,4,2,7,3,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,1,8,4,6,2,3,7]=>[7,3,2,6,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,4,1,6,2,3,7]=>[7,3,2,6,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,8,1,6,2,3,7]=>[7,3,2,6,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,8,5,1,6,2,3,7]=>[7,3,2,6,1,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,1,5,4,8,3,6,7]=>[7,6,3,8,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,3,8,1,5,6,7]=>[7,6,5,1,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,8,4,2,5,6,7]=>[7,6,5,2,4,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,8,4,2,1,5,6,7]=>[7,6,5,1,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,3,8,4,1,5,6,7]=>[7,6,5,1,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,4,2,8,1,5,6,7]=>[7,6,5,1,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,1,4,8,5,3,6,7]=>[7,6,3,5,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,8,4,1,5,6,7]=>[7,6,5,1,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,8,4,3,1,5,6,7]=>[7,6,5,1,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,7,4,3,8,1,6,2]=>[2,6,1,8,3,4,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [3,8,4,2,6,7,5,1]=>[1,5,7,6,2,4,8,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [3,8,4,1,6,7,5,2]=>[2,5,7,6,1,4,8,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [2,6,7,5,3,8,4,1]=>[1,4,8,3,5,7,6,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [6,7,4,8,2,5,3,1]=>[1,3,5,2,8,4,7,6]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [2,1,6,7,5,3,8,4]=>[4,8,3,5,7,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,8,4,2,1,6,7,5]=>[5,7,6,1,2,4,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,7,4,3,8,2,1,6]=>[6,1,2,8,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,7,4,8,3,1,2,5]=>[5,2,1,3,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [3,4,8,1,2,5,7,6]=>[6,7,5,2,1,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,1,3,4,8,2,5,7]=>[7,5,2,8,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,3,4,8,1,5,7]=>[7,5,1,8,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,7,5,8,2,4,3,1]=>[1,3,4,2,8,5,7,6]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [6,7,5,8,3,1,4,2]=>[2,4,1,3,8,5,7,6]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [3,4,8,1,5,7,6,2]=>[2,6,7,5,1,8,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [2,5,7,6,1,4,8,3]=>[3,8,4,1,6,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,4,8,2,3,5,1]=>[1,5,3,2,8,4,7,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [2,6,7,5,1,3,8,4]=>[4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,1,4,8,2,5,7]=>[7,5,2,8,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,7,5,8,4,1,3,2]=>[2,3,1,4,8,5,7,6]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [6,7,4,8,2,1,3,5]=>[5,3,1,2,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,7,4,8,1,2,3,5]=>[5,3,2,1,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [1,5,6,3,4,8,2,7]=>[7,2,8,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,3,6,5,8,2,7]=>[7,2,8,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [5,1,7,3,4,8,2,6]=>[6,2,8,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,8,2,3,5,4,1]=>[1,4,5,3,2,8,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [5,8,6,2,3,7,4,1]=>[1,4,7,3,2,6,8,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [2,8,3,4,7,5,6,1]=>[1,6,5,7,4,3,8,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [1,8,3,4,7,6,2,5]=>[5,2,6,7,4,3,8,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [8,7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7,8]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [3,8,1,7,5,2,6,4]=>[4,6,2,5,7,1,8,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [4,8,1,6,7,2,5,3]=>[3,5,2,7,6,1,8,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [2,1,3,8,4,6,5,7]=>[7,5,6,4,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [1,3,2,8,5,4,6,7]=>[7,6,4,5,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [1,5,6,8,7,4,2,3]=>[3,2,4,7,8,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [8,4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4,8]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,3,1,1]=>1 [1,4,8,5,7,6,2,3]=>[3,2,6,7,5,8,4,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,4,8,5,7,3,6,1]=>[1,6,3,7,5,8,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [4,3,8,6,5,7,2,1]=>[1,2,7,5,6,8,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [6,7,2,8,5,3,4,1]=>[1,4,3,5,8,2,7,6]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [5,2,7,8,6,3,4,1]=>[1,4,3,6,8,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [4,2,8,6,7,3,5,1]=>[1,5,3,7,6,8,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [3,2,8,7,5,4,6,1]=>[1,6,4,5,7,8,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [3,1,8,7,5,6,2,4]=>[4,2,6,5,7,8,1,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,1,8,6,7,5,2,3]=>[3,2,5,7,6,8,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [5,1,7,8,6,4,2,3]=>[3,2,4,6,8,7,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [6,7,1,8,5,4,2,3]=>[3,2,4,5,8,1,7,6]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [7,8,3,2,6,1,4,5]=>[5,4,1,6,2,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [3,4,8,2,6,1,7,5]=>[5,7,1,6,2,8,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,8,4,1,5,6,3,2]=>[2,3,6,5,1,4,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,2]=>2 [7,8,1,4,5,6,3,2]=>[2,3,6,5,4,1,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,2]=>2 [7,8,1,2,6,3,4,5]=>[5,4,3,6,2,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,5,1,4,6,3,2]=>[2,3,6,4,1,5,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,2]=>2 [7,8,4,5,1,6,3,2]=>[2,3,6,1,5,4,8,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,2]=>2 [5,3,8,4,1,6,7,2]=>[2,7,6,1,4,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,2,4,8,1,5,3,7]=>[7,3,5,1,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,8,5,1,6,7,2]=>[2,7,6,1,5,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,5,8,1,4,6,7,2]=>[2,7,6,4,1,8,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,4,8,2,6,3,7,5]=>[5,7,3,6,2,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,3,8,1,4,6,7,2]=>[2,7,6,4,1,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,2,6,8,1,5,3,7]=>[7,3,5,1,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,4,2,8,1,5,3,6]=>[6,3,5,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,1,7,5,8,4,3,2]=>[2,3,4,8,5,7,1,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [6,2,1,8,4,5,3,7]=>[7,3,5,4,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,7,8,5,3,4,6]=>[6,4,3,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,3,7,8,5,4,1,2]=>[2,1,4,5,8,7,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [6,1,5,7,8,4,3,2]=>[2,3,4,8,7,5,1,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [1,7,5,6,8,4,3,2]=>[2,3,4,8,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [3,1,8,4,5,6,7,2]=>[2,7,6,5,4,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,1,4,8,6,5,3,7]=>[7,3,5,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,1,8,6,5,3,7]=>[7,3,5,6,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,1,8,6,5,3,7]=>[7,3,5,6,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,7,8,5,1,4,6]=>[6,4,1,5,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,3,7,8,5,1,4,6]=>[6,4,1,5,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,7,3,8,5,1,4,6]=>[6,4,1,5,8,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,6,2,8,5,1,4,7]=>[7,4,1,5,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,2,8,7,5,3,6]=>[6,3,5,7,8,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,4,2,8,7,5,3,6]=>[6,3,5,7,8,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [7,3,6,8,5,4,1,2]=>[2,1,4,5,8,6,3,7]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [7,2,1,8,5,3,4,6]=>[6,4,3,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,2,6,8,4,5,3,7]=>[7,3,5,4,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,1,6,5,8,4,3,2]=>[2,3,4,8,5,6,1,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [6,5,7,1,8,4,3,2]=>[2,3,4,8,1,7,5,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [5,7,6,1,8,4,3,2]=>[2,3,4,8,1,6,7,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [6,7,1,5,8,4,3,2]=>[2,3,4,8,5,1,7,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [6,7,3,8,5,4,1,2]=>[2,1,4,5,8,3,7,6]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [7,1,2,8,4,5,3,6]=>[6,3,5,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,6,1,5,8,4,3,2]=>[2,3,4,8,5,1,6,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [7,5,6,1,8,4,3,2]=>[2,3,4,8,1,6,5,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>2 [1,8,7,4,2,5,3,6]=>[6,3,5,2,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [8,7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [5,3,7,1,6,4,2,8]=>[8,2,4,6,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,4,2,7,1,8]=>[8,1,7,2,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,8,6,3,5,1]=>[1,5,3,6,8,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [5,3,6,1,8,7,4,2]=>[2,4,7,8,1,6,3,5]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [6,1,5,3,8,7,4,2]=>[2,4,7,8,3,5,1,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [2,3,1,8,7,5,4,6]=>[6,4,5,7,8,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,3,8,7,4,2,1,6]=>[6,1,2,4,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,8,6,3,5,7,4,2]=>[2,4,7,5,3,6,8,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [2,8,6,4,7,5,1,3]=>[3,1,5,7,4,6,8,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [5,1,8,6,3,7,4,2]=>[2,4,7,3,6,8,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [8,5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [1,8,6,3,2,4,7,5]=>[5,7,4,2,3,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [7,5,1,8,6,3,2,4]=>[4,2,3,6,8,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [4,3,2,8,7,6,1,5]=>[5,1,6,7,8,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,4,5,1,3,8,7,6]=>[6,7,8,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,7,5,8,6,3,2,4]=>[4,2,3,6,8,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,7,4,2,5,8,6,3]=>[3,6,8,5,2,4,7,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [8,6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [5,3,1,8,7,4,2,6]=>[6,2,4,7,8,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,8,6,4,1,3,7,5]=>[5,7,3,1,4,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,1,8,6,3,2,7,5]=>[5,7,2,3,6,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,3,1,8,5,2,7,4]=>[4,7,2,5,8,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [7,4,8,5,2,6,3,1]=>[1,3,6,2,5,8,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [8,5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5,8]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>1 [6,3,1,7,4,8,5,2]=>[2,5,8,4,7,1,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [7,4,8,5,2,1,6,3]=>[3,6,1,2,5,8,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [3,5,6,2,1,4,8,7]=>[7,8,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,8,5,7,3,2,6]=>[6,2,3,7,5,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [2,1,5,7,8,4,3,6]=>[6,3,4,8,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,6,2,7,3,1,8,5]=>[5,8,1,3,7,2,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,8,4,1,7,3,5]=>[5,3,7,1,4,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,3,4,8,1,6,2,5]=>[5,2,6,1,8,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,3,4,8,1,7,2,5]=>[5,2,7,1,8,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,3,4,8,1,2,7,6]=>[6,7,2,1,8,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,5,8,1,2,7,6]=>[6,7,2,1,8,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,8,5,4,2,3,7,6]=>[6,7,3,2,4,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,5,4,8,1,2,7,6]=>[6,7,2,1,8,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,5,3,8,1,2,7,6]=>[6,7,2,1,8,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,4,3,8,1,7,2,5]=>[5,2,7,1,8,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,4,3,8,1,6,2,5]=>[5,2,6,1,8,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,5,3,8,7,1,2,4]=>[4,2,1,7,8,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [5,6,3,8,7,1,2,4]=>[4,2,1,7,8,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [4,6,3,8,1,7,2,5]=>[5,2,7,1,8,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,6,8,4,1,7,3,5]=>[5,3,7,1,4,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,8,7,4,2,6,3,5]=>[5,3,6,2,4,7,8,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,7,3,8,6,1,2,4]=>[4,2,1,6,8,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,7,5,8,6,1,2,4]=>[4,2,1,6,8,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,7,8,5,6,1,3,4]=>[4,3,1,6,5,8,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,8,7,5,6,2,3,4]=>[4,3,2,6,5,7,8,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [2,6,8,5,7,1,3,4]=>[4,3,1,7,5,8,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [5,3,6,8,7,1,2,4]=>[4,2,1,7,8,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [6,3,5,8,7,1,2,4]=>[4,2,1,7,8,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [7,2,8,5,6,1,3,4]=>[4,3,1,6,5,8,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,2,8,6,7,1,3,4]=>[4,3,1,7,6,8,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [1,8,3,2,7,6,4,5]=>[5,4,6,7,2,3,8,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [5,2,8,7,6,1,3,4]=>[4,3,1,6,7,8,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [6,2,8,7,5,1,3,4]=>[4,3,1,5,7,8,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [3,4,7,8,1,6,2,5]=>[5,2,6,1,8,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,8,5,7,6,2,3,4]=>[4,3,2,6,7,5,8,1]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [2,5,8,7,6,1,3,4]=>[4,3,1,6,7,8,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [7,4,6,5,8,1,2,3]=>[3,2,1,8,5,6,4,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [3,6,7,8,5,1,2,4]=>[4,2,1,5,8,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,6,8,7,5,1,3,4]=>[4,3,1,5,7,8,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [1,8,6,7,5,2,3,4]=>[4,3,2,5,7,6,8,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [2,7,8,6,5,1,3,4]=>[4,3,1,5,6,8,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [5,7,6,4,8,1,2,3]=>[3,2,1,8,4,6,7,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [6,3,8,7,5,1,2,4]=>[4,2,1,5,7,8,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [5,4,8,7,1,3,2,6]=>[6,2,3,1,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,8,6,1,3,2,5,7]=>[7,5,2,3,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,4,2,7,6,8,1,3]=>[3,1,8,6,7,2,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,8,7,1,4,5,3,6]=>[6,3,5,4,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,6,1,8,7,3,2,5]=>[5,2,3,7,8,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [8,7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [5,3,1,4,8,7,2,6]=>[6,2,7,8,4,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,3,5,2,8,7,1,6]=>[6,1,7,8,2,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,4,2,8,6,1,5,7]=>[7,5,1,6,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,7,6,8,1,5,2,4]=>[4,2,5,1,8,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [8,1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,7,2,1,8,6,4,5]=>[5,4,6,8,1,2,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,8,6,1,7,3,5,4]=>[4,5,3,7,1,6,8,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [1,7,6,3,5,8,2,4]=>[4,2,8,5,3,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [1,7,4,6,8,2,5,3]=>[3,5,2,8,6,4,7,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,7,1,6,5,4,8,3]=>[3,8,4,5,6,1,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,3,2,6,1,8,5,4]=>[4,5,8,1,6,2,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,4,7,2,3,1,8,5]=>[5,8,1,3,2,7,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,7,4,3,6,8,1,5]=>[5,1,8,6,3,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,8,4,6,1,5,3,7]=>[7,3,5,1,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,7,3,8,5,2,1,6]=>[6,1,2,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,8,6,2,7,4,1,5]=>[5,1,4,7,2,6,8,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [6,1,4,8,5,3,2,7]=>[7,2,3,5,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,7,5,1,8,6,3,2]=>[2,3,6,8,1,5,7,4]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [8,4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4,8]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>2 [3,7,4,6,5,2,8,1]=>[1,8,2,5,6,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,7,6,1,5,8,3]=>[3,8,5,1,6,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [3,5,1,6,8,4,7,2]=>[2,7,4,8,6,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,8,4,7,3,2,6,1]=>[1,6,2,3,7,4,8,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [7,2,6,5,8,4,1,3]=>[3,1,4,8,5,6,2,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,6,5,8,4,1,7,2]=>[2,7,1,4,8,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,7,3,1,6,4,8,2]=>[2,8,4,6,1,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [6,3,4,1,7,2,8,5]=>[5,8,2,7,1,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,7,2,3,8,6,4]=>[4,6,8,3,2,7,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,6,3,1,4,8,2,5]=>[5,2,8,4,1,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,1,8,2,7,5,3,4]=>[4,3,5,7,2,8,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [7,2,6,4,3,8,1,5]=>[5,1,8,3,4,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,3,1,7,4,8,2,6]=>[6,2,8,4,7,1,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,4,8,2,1,5,3,6]=>[6,3,5,1,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2,8]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [6,1,7,3,2,8,5,4]=>[4,5,8,2,3,7,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [4,7,2,1,6,3,8,5]=>[5,8,3,6,1,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,1,5,3,8,4,7]=>[7,4,8,3,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,1,6,2,8,4,7]=>[7,4,8,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,1,5,2,8,4,3,7]=>[7,3,4,8,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,4,3,8,1,5,2,6]=>[6,2,5,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,1,5,3,2,8,4,7]=>[7,4,8,2,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,2,8,4,1,5,7]=>[7,5,1,4,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,1,6,3,4,2,8,5]=>[5,8,2,4,3,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,8,6,1,5,2,7,4]=>[4,7,2,5,1,6,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [4,8,5,6,1,7,3,2]=>[2,3,7,1,6,5,8,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [6,7,1,3,8,5,2,4]=>[4,2,5,8,3,1,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,6,7,1,5,2,8,4]=>[4,8,2,5,1,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,2,7,1,3,8,4]=>[4,8,3,1,7,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,8,3,7,5,2,4]=>[4,2,5,7,3,8,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [7,3,2,6,4,8,1,5]=>[5,1,8,4,6,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,4,2,7,3,8,1,5]=>[5,1,8,3,7,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,2,1,7,4,8,3,6]=>[6,3,8,4,7,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,1,8,4,5,2,7,3]=>[3,7,2,5,4,8,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,5,2,7,1,6,8,4]=>[4,8,6,1,7,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,5,7,2,8,6,1,3]=>[3,1,6,8,2,7,5,4]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,5,1,7,2,6,8,4]=>[4,8,6,2,7,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,5,7,2,8,1,3,6]=>[6,3,1,8,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,1,3,7,4,8,5,2]=>[2,5,8,4,7,3,1,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,5,1,3,7,6,4,8]=>[8,4,6,7,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,1,5,8,6,4]=>[4,6,8,5,1,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,2,7,1,4,8,5,3]=>[3,5,8,4,1,7,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [3,7,4,2,1,8,5,6]=>[6,5,8,1,2,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,2,5,3,1,8,6,4]=>[4,6,8,1,3,5,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,5,1,4,2,8,6,3]=>[3,6,8,2,4,1,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [5,3,2,1,7,6,4,8]=>[8,4,6,7,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,2,8,1,6,5]=>[5,6,1,8,2,3,4,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,7,5,3,8,1,4,6]=>[6,4,1,8,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6,8]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,3,1,2,1]=>1 [8,6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6,8]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,3,1,2,1]=>1 [8,5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5,8]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,4,1,1]=>1 [8,5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5,8]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>1 [2,8,5,6,1,4,3,7]=>[7,3,4,1,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,2,6,8,4,1,5,3]=>[3,5,1,4,8,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [7,6,4,8,3,2,5,1]=>[1,5,2,3,8,4,6,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [6,5,8,4,1,3,7,2]=>[2,7,3,1,4,8,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,4,8,3,2,1,7,6]=>[6,7,1,2,3,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,6,8,2,1,5,7,4]=>[4,7,5,1,2,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,7,4,1,8,3,6,5]=>[5,6,3,8,1,4,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,5,1,8,4,2,7,6]=>[6,7,2,4,8,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,1,5,7,3,6,2,8]=>[8,2,6,3,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,8,3,1,7,6]=>[6,7,1,3,8,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,3,1,8,6,4,2,7]=>[7,2,4,6,8,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,8,7,3,5,1,6]=>[6,1,5,3,7,8,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,8,1,7,6,2,3,5]=>[5,3,2,6,7,1,8,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [6,8,1,4,7,5,2,3]=>[3,2,5,7,4,1,8,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [4,7,8,1,5,3,2,6]=>[6,2,3,5,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,8,6,2,5,3,4]=>[4,3,5,2,6,8,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [5,8,7,1,3,6,4,2]=>[2,4,6,3,1,7,8,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [3,7,6,1,5,4,2,8]=>[8,2,4,5,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,7,2,6,1,4,3]=>[3,4,1,6,2,7,8,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [7,3,8,6,5,1,2,4]=>[4,2,1,5,6,8,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [5,7,8,4,3,1,2,6]=>[6,2,1,3,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,8,6,4,3,2,1,7]=>[7,1,2,3,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,4,2,5,3,7,8]=>[8,7,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,7,5,4,2,8,6]=>[6,8,2,4,5,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,1,3,5,4,2,7,8]=>[8,7,2,4,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,5,4,7,3,8]=>[8,3,7,4,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,3,4,7,8,2]=>[2,8,7,4,3,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,2,6,3,4,7,1,8]=>[8,1,7,4,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,5,8,6,1,2]=>[2,1,6,8,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [2,4,7,1,5,3,8,6]=>[6,8,3,5,1,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,6,7,4,8,1,5]=>[5,1,8,4,7,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,3,6,7,4,8,5,2]=>[2,5,8,4,7,6,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,7,6,5,3,1,8,4]=>[4,8,1,3,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,6,1,4,7,8,3]=>[3,8,7,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,6,5,2,1,8,3]=>[3,8,1,2,5,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,3,6,2,4,1,7,8]=>[8,7,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,2,1,3,6,8]=>[8,6,3,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,1,5,4,7,8,2]=>[2,8,7,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,6,1,4,2,7,8]=>[8,7,2,4,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,4,2,6,3,8,5]=>[5,8,3,6,2,4,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,4,1,2,3,6,8]=>[8,6,3,2,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,2,5,3,7,8]=>[8,7,3,5,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,3,8,5,1,2]=>[2,1,5,8,3,6,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [3,7,6,5,2,8,1,4]=>[4,1,8,2,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,7,2,6,1,3,8,5]=>[5,8,3,1,6,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,7,1,6,8,3,5,4]=>[4,5,3,8,6,1,7,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,7,6,5,8,1,4,3]=>[3,4,1,8,5,6,7,2]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [9,1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,1,1]=>7 [10,1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,1]=>8 [9,2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2,9]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1,1,1]=>3 [8,4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4,8]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,2,1,1,1]=>2 [9,3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3,9]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1,1,1]=>2 [10,2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2,10]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1,1,1,1]=>3 [4,5,6,2,3,8,1,7]=>[7,1,8,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,3,2,7,8,1,6]=>[6,1,8,7,2,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,8,7,2,4,3,5,1]=>[1,5,3,4,2,7,8,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,4,2,1]=>1 [8,3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,3,4,7,5,8,1,6]=>[6,1,8,5,7,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,3,4,7,8,2,5,1]=>[1,5,2,8,7,4,3,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [5,3,7,4,8,6,1,2]=>[2,1,6,8,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [8,3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,7,6,2,8,4,1,3]=>[3,1,4,8,2,6,7,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [6,1,7,5,8,3,4,2]=>[2,4,3,8,5,7,1,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,5,6,4,1,3,8,2]=>[2,8,3,1,4,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5,8]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>2 [7,8,3,6,2,1,4,5]=>[5,4,1,2,6,3,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [2,8,3,1,6,7,5,4]=>[4,5,7,6,1,3,8,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [3,8,4,1,2,7,6,5]=>[5,6,7,2,1,4,8,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [5,4,7,2,3,6,8,1]=>[1,8,6,3,2,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,2,1,8,4,7,5]=>[5,7,4,8,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,7,8,5,1,3,6,4]=>[4,6,3,1,5,8,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,7,1,5,8,2,4,3]=>[3,4,2,8,5,1,7,6]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [4,8,7,6,2,3,5,1]=>[1,5,3,2,6,7,8,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [7,8,1,5,3,2,6,4]=>[4,6,2,3,5,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,5,7,3,8,2,1,4]=>[4,1,2,8,3,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,3,4,6,1,5,8,2]=>[2,8,5,1,6,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,2,6,8,3,1,5,7]=>[7,5,1,3,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,3,8,6,1,5,7]=>[7,5,1,6,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,3,7,4,6,8,5]=>[5,8,6,4,7,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,7,1,4,5,8,6]=>[6,8,5,4,1,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,1,5,3,8,7,4,6]=>[6,4,7,8,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,8,3,2,4,1,6,7]=>[7,6,1,4,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,2,7,1,8,3,5,6]=>[6,5,3,8,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,2,7,5,3,8,4,6]=>[6,4,8,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,3,6,8,4,7,5]=>[5,7,4,8,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,2,8,3,7,5,1,4]=>[4,1,5,7,3,8,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [4,2,8,3,7,5,6,1]=>[1,6,5,7,3,8,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [7,3,4,8,6,5,1,2]=>[2,1,5,6,8,4,3,7]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [5,3,4,8,7,2,6,1]=>[1,6,2,7,8,4,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,3,5,8,7,2,6,1]=>[1,6,2,7,8,5,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,6,3,8,5,7,2,1]=>[1,2,7,5,8,3,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [7,5,3,8,6,2,4,1]=>[1,4,2,6,8,3,5,7]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [2,6,8,3,7,4,5,1]=>[1,5,4,7,3,8,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [1,8,4,3,7,5,6,2]=>[2,6,5,7,3,4,8,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [2,5,8,3,7,4,6,1]=>[1,6,4,7,3,8,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [7,4,3,8,6,2,5,1]=>[1,5,2,6,8,3,4,7]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [3,5,4,8,7,2,6,1]=>[1,6,2,7,8,4,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,5,3,8,6,7,2,1]=>[1,2,7,6,8,3,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [3,6,7,8,4,5,2,1]=>[1,2,5,4,8,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [2,6,8,5,4,7,3,1]=>[1,3,7,4,5,8,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [1,8,5,6,4,7,3,2]=>[2,3,7,4,6,5,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [2,5,8,6,4,7,3,1]=>[1,3,7,4,6,8,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [7,4,6,5,8,3,2,1]=>[1,2,3,8,5,6,4,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [6,3,7,8,4,5,2,1]=>[1,2,5,4,8,7,3,6]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [4,3,7,8,5,6,2,1]=>[1,2,6,5,8,7,3,4]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [5,2,8,6,4,7,3,1]=>[1,3,7,4,6,8,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [4,2,8,6,5,7,3,1]=>[1,3,7,5,6,8,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [3,2,8,6,7,4,5,1]=>[1,5,4,7,6,8,2,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [2,3,8,7,5,4,6,1]=>[1,6,4,5,7,8,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [1,8,2,7,4,5,6,3]=>[3,6,5,4,7,2,8,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [7,2,8,6,3,4,5,1]=>[1,5,4,3,6,8,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [6,2,8,4,5,7,3,1]=>[1,3,7,5,4,8,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [5,2,8,4,6,7,3,1]=>[1,3,7,6,4,8,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [4,2,8,5,6,7,3,1]=>[1,3,7,6,5,8,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [4,3,6,8,5,7,2,1]=>[1,2,7,5,8,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [3,4,6,8,7,2,5,1]=>[1,5,2,7,8,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [7,3,5,8,6,2,4,1]=>[1,4,2,6,8,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [1,8,3,5,7,4,6,2]=>[2,6,4,7,5,3,8,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [2,7,8,4,5,6,3,1]=>[1,3,6,5,4,8,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [3,7,5,8,4,6,2,1]=>[1,2,6,4,8,5,7,3]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [5,7,4,6,8,3,2,1]=>[1,2,3,8,6,4,7,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>1 [3,6,5,8,4,7,2,1]=>[1,2,7,4,8,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [2,6,8,4,5,7,3,1]=>[1,3,7,5,4,8,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [5,3,6,1,7,2,4,8]=>[8,4,2,7,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,2,5,8,6,4]=>[4,6,8,5,2,1,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,5,1,2,4,8,6,3]=>[3,6,8,4,2,1,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [6,4,2,3,7,1,5,8]=>[8,5,1,7,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [3,7,5,8,1,2,4,6]=>[6,4,2,1,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,5,8,1,2,4,7,3]=>[3,7,4,2,1,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,6,8,1,2,5,7,4]=>[4,7,5,2,1,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,6,3,8,1,2,5,7]=>[7,5,2,1,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,7,8,2,3,6,5]=>[5,6,3,2,8,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,1,2,8,6,3,4,7]=>[7,4,3,6,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,1,8,5,2,3,4,7]=>[7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,1,7,5,2,3,4,8]=>[8,4,3,2,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,1,3,7,4,5,2]=>[2,5,4,7,3,1,8,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [4,8,7,1,3,5,6,2]=>[2,6,5,3,1,7,8,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [4,8,7,1,2,3,6,5]=>[5,6,3,2,1,7,8,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,8,7,1,2,4,6,3]=>[3,6,4,2,1,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [5,8,6,4,1,2,3,7]=>[7,3,2,1,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,8,4,1,2,5,3,6]=>[6,3,5,2,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [7,8,1,2,6,5,3,4]=>[4,3,5,6,2,1,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [1,4,8,2,7,5,3,6]=>[6,3,5,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [6,1,3,4,7,2,5,8]=>[8,5,2,7,4,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,2,1,6,3,5,4]=>[4,5,3,6,1,2,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [6,1,2,7,5,4,3,8]=>[8,3,4,5,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,8,7,5,4,3,6]=>[6,3,4,5,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,1,7,3,6,4,8,2]=>[2,8,4,6,3,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,1,5,7,4,3,8]=>[8,3,4,7,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,7,4,1,5,8]=>[8,5,1,4,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,8,7,5,6,1,2]=>[2,1,6,5,7,8,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [2,3,8,7,4,1,5,6]=>[6,5,1,4,7,8,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,7,3,8,6,4,1,5]=>[5,1,4,6,8,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,8,3,7,6,4,5,2]=>[2,5,4,6,7,3,8,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>2 [5,2,7,1,4,6,8,3]=>[3,8,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,7,5,2,1,8,3]=>[3,8,1,2,5,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,1,4,5,7,8,2]=>[2,8,7,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,1,4,6,2,7,8]=>[8,7,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,4,7,6,8,3]=>[3,8,6,7,4,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,4,1,2,6,3,8]=>[8,3,6,2,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,1,2,6,7,3,5]=>[5,3,7,6,2,1,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,1,7,8,2,6,3,5]=>[5,3,6,2,8,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,2,8,7,6,5,3,4]=>[4,3,5,6,7,8,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [3,1,2,4,6,8,7,5]=>[5,7,8,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,1,8,4,5,7,6,2]=>[2,6,7,5,4,8,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [3,2,8,5,4,7,1,6]=>[6,1,7,4,5,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,2,8,1,5,3,7,6]=>[6,7,3,5,1,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,8,5,7,6,1,2]=>[2,1,6,7,5,8,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,8,2,1,6,3,7,5]=>[5,7,3,6,1,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,6,5,2,7,1,4]=>[4,1,7,2,5,6,8,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,5,6,1,7,4,2]=>[2,4,7,1,6,5,8,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [3,5,7,8,1,2,6,4]=>[4,6,2,1,8,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,7,8,5,2,1,6,4]=>[4,6,1,2,5,8,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [3,7,2,8,4,1,6,5]=>[5,6,1,4,8,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,8,1,7,4,6,5,3]=>[3,5,6,4,7,1,8,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [2,8,7,5,1,6,4,3]=>[3,4,6,1,5,7,8,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [2,8,6,7,5,1,4,3]=>[3,4,1,5,7,6,8,2]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>3 [8,2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,6,1,4,2,8,7,5]=>[5,7,8,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,7,4,1,8,3,5,6]=>[6,5,3,8,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,1,3,8,2,6,5]=>[5,6,2,8,3,1,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,4,7,3,6,2,8,5]=>[5,8,2,6,3,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,5,7,3,4,1,6]=>[6,1,4,3,7,5,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [5,8,2,6,4,3,1,7]=>[7,1,3,4,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,2,3,5,8,7,1,6]=>[6,1,7,8,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,4,3,5,7,8,1,6]=>[6,1,8,7,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,8,6,5,4,2,1,7]=>[7,1,2,4,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,3,1,4,2,8,7,5]=>[5,7,8,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,1,4,5,3,2,6,8]=>[8,6,2,3,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,4,8,6,3,2,7]=>[7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,1,8,4,7,2,6]=>[6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,8,1,5,7,2,6]=>[6,2,7,5,1,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,3,1,2,5,7,4,8]=>[8,4,7,5,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,4,2,6,5,3,8]=>[8,3,5,6,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [7,1,5,4,8,6,3,2]=>[2,3,6,8,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [5,8,3,7,4,1,6,2]=>[2,6,1,4,7,3,8,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [8,1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [5,7,1,4,8,6,3,2]=>[2,3,6,8,4,1,7,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [2,6,7,4,5,8,3,1]=>[1,3,8,5,4,7,6,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,3,7,4,8,6,2,1]=>[1,2,6,8,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [5,4,3,6,8,2,7,1]=>[1,7,2,8,6,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [7,5,8,4,1,6,3,2]=>[2,3,6,1,4,8,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [2,7,8,4,5,1,6,3]=>[3,6,1,5,4,8,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [5,6,3,8,1,4,7,2]=>[2,7,4,1,8,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,8,3,1,2,5,7,4]=>[4,7,5,2,1,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5,8]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>3 [8,7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [7,6,3,1,5,2,8,4]=>[4,8,2,5,1,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,1,8,2,6,3,4]=>[4,3,6,2,8,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [3,2,6,5,1,4,8,7]=>[7,8,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,5,8,1,7,4,3,6]=>[6,3,4,7,1,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [6,8,2,3,7,5,1,4]=>[4,1,5,7,3,2,8,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [4,2,7,3,1,8,5,6]=>[6,5,8,1,3,7,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,2,3,7,1,5,8,6]=>[6,8,5,1,7,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,2,7,3,8,6,1,4]=>[4,1,6,8,3,7,2,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,1,5,8,4,3,7,6]=>[6,7,3,4,8,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,4,2,6,7,1,3]=>[3,1,7,6,2,4,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,4,8,3,1,7,5,6]=>[6,5,7,1,3,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,8,3,2,1,7,6,5]=>[5,6,7,1,2,3,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,4,8,2,1,6,5,7]=>[7,5,6,1,2,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,3,7,2,1,5,4]=>[4,5,1,2,7,3,8,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [3,5,8,1,7,2,6,4]=>[4,6,2,7,1,8,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [7,6,4,8,1,5,3,2]=>[2,3,5,1,8,4,6,7]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [3,8,5,4,2,1,7,6]=>[6,7,1,2,4,5,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,6,5,2,7,1,3]=>[3,1,7,2,5,6,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,2,8,7,5,4,1,6]=>[6,1,4,5,7,8,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,8,6,5,4,3,1,7]=>[7,1,3,4,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,4,2,6,3,1,8,7]=>[7,8,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,2,1,3,4,8,7]=>[7,8,4,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,3,6,5,2,8,4,1]=>[1,4,8,2,5,6,3,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [7,6,2,3,4,8,5,1]=>[1,5,8,4,3,2,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [3,7,6,4,2,8,5,1]=>[1,5,8,2,4,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,8,2,3,5,1,4,6]=>[6,4,1,5,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [2,8,6,3,1,4,7,5]=>[5,7,4,1,3,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,3,7,5,8,4,2,1]=>[1,2,4,8,5,7,3,6]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [7,6,1,5,8,3,4,2]=>[2,4,3,8,5,1,6,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [8,6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6,8]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [3,4,8,1,5,2,7,6]=>[6,7,2,5,1,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,3,4,6,5,7,8,9,10,1]=>[1,10,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [2,3,5,6,4,7,8,9,1]=>[1,9,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [10,1,2,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [5,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,3,1,1]=>1 [4,8,7,6,3,5,2,1]=>[1,2,5,3,6,7,8,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,3,1,1,1]=>1 [3,8,7,6,5,2,4,1]=>[1,4,2,5,6,7,8,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>1 [7,9,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,9,7]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,3,1]=>1 [5,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,3,1,1]=>1 [6,8,5,4,7,3,2,1]=>[1,2,3,7,4,5,8,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,4,1]=>1 [5,9,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,9,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,3,1,1,1]=>1 [3,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>1 [4,8,7,6,3,2,5,1]=>[1,5,2,3,6,7,8,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [3,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [8,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,8]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,2,2,3]=>2 [9,7,10,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,10,7,9]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2,2]=>2 [9,7,10,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,10,7,9]=>[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2,2]=>2 [9,7,10,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,10,7,9]=>[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2,2]=>2 [7,5,8,4,6,3,1,2]=>[2,1,3,6,4,8,5,7]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [8,6,9,4,7,3,5,2,1]=>[1,2,5,3,7,4,9,6,8]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,3,2,2]=>1 [9,7,10,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,10,7,9]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,2,2]=>1 [7,6,8,2,5,1,4,3]=>[3,4,1,5,2,8,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [9,8,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,8,9]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,2,2,3]=>1 [3,5,4,7,2,6,1,8]=>[8,1,6,2,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,7,6,1,2,8]=>[8,2,1,6,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,7,6,1,8,2]=>[2,8,1,6,7,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,7,4,6,1,8,2]=>[2,8,1,6,4,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,7,4,6,1,2,8]=>[8,2,1,6,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,4,6,2,1,8]=>[8,1,2,6,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,7,4,6,1,8]=>[8,1,6,4,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,7,6,4,1,8]=>[8,1,4,6,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,2,6,4,1,8]=>[8,1,4,6,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,6,2,4,1,8]=>[8,1,4,2,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,6,1,2,8,4]=>[4,8,2,1,6,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,3,7,6,1,4,2,8]=>[8,2,4,1,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,6,4,1,2,8]=>[8,2,1,4,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,2,6,1,4,8]=>[8,4,1,6,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,6,4,1,8,2]=>[2,8,1,4,6,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,7,5,4,1,8,6,2]=>[2,6,8,1,4,5,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,7,5,1,4,8,6,2]=>[2,6,8,4,1,5,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,7,5,1,4,8,2,6]=>[6,2,8,4,1,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,2,7,1,6,4,8]=>[8,4,6,1,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,1,4,6,8,2]=>[2,8,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,7,2,1,4,6,8]=>[8,6,4,1,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,7,1,4,6,8]=>[8,6,4,1,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,7,4,1,6,8]=>[8,6,1,4,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,7,4,1,6,8]=>[8,6,1,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,7,1,6,8,2]=>[2,8,6,1,7,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,4,7,2,1,6,8]=>[8,6,1,2,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,2,7,1,6,8]=>[8,6,1,7,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,4,7,1,6,8]=>[8,6,1,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,7,2,1,8,6]=>[6,8,1,2,7,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,4,7,1,2,8,6]=>[6,8,2,1,7,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,7,6,3,1,8,4,2]=>[2,4,8,1,3,6,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,7,6,3,1,8,2,4]=>[4,2,8,1,3,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,5,7,4,2,1,8,6]=>[6,8,1,2,4,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,5,7,4,1,8,6]=>[6,8,1,4,7,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,5,7,1,4,8,6]=>[6,8,4,1,7,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,2,7,1,4,8,6]=>[6,8,4,1,7,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,7,2,1,4,8,6]=>[6,8,4,1,2,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,5,2,1,8,6,4]=>[4,6,8,1,2,5,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,7,2,5,1,8,6,4]=>[4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,2,7,5,1,8,6,4]=>[4,6,8,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,2,7,5,1,8,4,6]=>[6,4,8,1,5,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,1,2,5,7,4,8,3]=>[3,8,4,7,5,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,2,7,4,1,8,5]=>[5,8,1,4,7,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,7,5,8,4,6,3]=>[3,6,4,8,5,7,1,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,7,3,6,8,4,1,5]=>[5,1,4,8,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,1,8,3,4,7,5,6]=>[6,5,7,4,3,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,1,7,2,4,8,3,6]=>[6,3,8,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,2,6,7,1,8,5]=>[5,8,1,7,6,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,5,8,7,2,1,6,4]=>[4,6,1,2,7,8,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [1,3,4,5,6,7,9,2,8]=>[8,2,9,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [2,3,4,5,6,7,1,9,8]=>[8,9,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,1,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [3,1,4,5,6,7,8,2,9]=>[9,2,8,7,6,5,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,8,3,4,1,7,6,2]=>[2,6,7,1,4,3,8,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [5,8,7,2,4,1,6,3]=>[3,6,1,4,2,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [3,8,6,4,1,7,5,2]=>[2,5,7,1,4,6,8,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [4,3,5,6,8,1,7,2]=>[2,7,1,8,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,7,6,4,1,8,5,2]=>[2,5,8,1,4,6,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [3,7,4,1,8,6,5,2]=>[2,5,6,8,1,4,7,3]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [3,8,4,1,7,6,5,2]=>[2,5,6,7,1,4,8,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,3,1,1,1]=>2 [3,2,7,6,1,5,4,8]=>[8,4,5,1,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,8,7,6,1,5,4]=>[4,5,1,6,7,8,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [5,7,8,2,4,1,6,3]=>[3,6,1,4,2,8,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [4,2,5,8,1,6,7,3]=>[3,7,6,1,8,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,2,5,8,1,7,3,6]=>[6,3,7,1,8,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,2,4,1,6,3,7]=>[7,3,6,1,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,2,6,8,1,5,4,7]=>[7,4,5,1,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,2,8,6,7,1,5,4]=>[4,5,1,7,6,8,2,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [3,2,6,8,7,1,5,4]=>[4,5,1,7,8,6,2,3]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [3,2,6,7,1,5,4,8]=>[8,4,5,1,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [7,2,8,1,5,3,6,4]=>[4,6,3,5,1,8,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,4,2,8,5,1,3,6]=>[6,3,1,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,4,1,8,3,6,5]=>[5,6,3,8,1,4,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,6,5,7,1,8,3,4]=>[4,3,8,1,7,5,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,4,7,6,8,2,3,1]=>[1,3,2,8,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [4,1,8,2,3,7,6,5]=>[5,6,7,3,2,8,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [5,2,4,6,8,7,3,1]=>[1,3,7,8,6,4,2,5]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [1,6,8,3,4,5,7,2]=>[2,7,5,4,3,8,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,7,4,8,6,1,3,2]=>[2,3,1,6,8,4,7,5]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [5,4,2,6,7,8,1,3]=>[3,1,8,7,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,4,1,8,3,5,6,2]=>[2,6,5,3,8,1,4,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [6,5,4,8,7,3,1,2]=>[2,1,3,7,8,4,5,6]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>2 [7,4,3,2,6,8,5,1]=>[1,5,8,6,2,3,4,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [5,7,8,2,4,3,1,6]=>[6,1,3,4,2,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [7,1,6,3,5,8,2,4]=>[4,2,8,5,3,6,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,5,2,7,8,6,4,3]=>[3,4,6,8,7,2,5,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [2,6,8,5,1,4,7,3]=>[3,7,4,1,5,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,4,2,8,6,5,7,3]=>[3,7,5,6,8,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,5,1,6,8,7,2,4]=>[4,2,7,8,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,7,6,2,1,3,8,4]=>[4,8,3,1,2,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,8,7,4,1,6,3]=>[3,6,1,4,7,8,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [7,6,2,4,5,1,8,3]=>[3,8,1,5,4,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,3,4,2,5,8,6,1]=>[1,6,8,5,2,4,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [8,7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,2,1,5,6,7,8,3]=>[3,8,7,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,4,6,5,1,7,8,2]=>[2,8,7,1,5,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,3,5,2,4,6,1,8]=>[8,1,6,4,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,2,4,6,1,8]=>[8,1,6,4,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,2,4,6,1,8]=>[8,1,6,4,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,2,4,6,1,8]=>[8,1,6,4,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,2,1,4,6,8]=>[8,6,4,1,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,2,4,1,6,8]=>[8,6,1,4,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,2,7,4,6,8]=>[8,6,4,7,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,5,1,4,6,8]=>[8,6,4,1,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,1,2,4,6,8]=>[8,6,4,2,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,7,2,4,6,8]=>[8,6,4,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,4,7,1,6,8]=>[8,6,1,7,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,7,5,4,6,8]=>[8,6,4,5,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,2,7,4,6,8]=>[8,6,4,7,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,2,4,7,6,8]=>[8,6,7,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,3,2,4,6,8]=>[8,6,4,2,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,3,2,4,6,8]=>[8,6,4,2,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,7,5,4,6,8]=>[8,6,4,5,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,7,2,5,4,6,8]=>[8,6,4,5,2,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,5,3,2,4,6,8]=>[8,6,4,2,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,5,7,9,6,8]=>[8,6,9,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [1,2,3,4,6,9,5,7,8]=>[8,7,5,9,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [1,2,3,5,9,4,6,7,8]=>[8,7,6,4,9,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [1,2,4,9,3,5,6,7,8]=>[8,7,6,5,3,9,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [1,3,9,2,4,5,6,7,8]=>[8,7,6,5,4,2,9,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [2,9,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,9,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>3 [1,9,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,9,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1,1]=>3 [3,9,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,9,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>4 [1,8,7,4,2,6,5,3]=>[3,5,6,2,4,7,8,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [2,10,9,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,9,10,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>3 [2,8,5,1,7,6,4,3]=>[3,4,6,7,1,5,8,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,1,2,1,1]=>3 [6,8,5,1,2,7,4,3]=>[3,4,7,2,1,5,8,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [2,10,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,10,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>3 [3,10,9,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,9,10,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1,1]=>4 [4,9,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,9,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,1,1,1,1]=>5 [2,8,1,4,7,6,5,3]=>[3,5,6,7,4,1,8,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,2,1,1,1]=>3 [7,5,3,4,2,8,1,6]=>[6,1,8,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5,8]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,2,3,1]=>1 [8,5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5,8]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,1,3,1]=>1 [8,7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>2 [1,7,2,3,6,8,5,4]=>[4,5,8,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,5,6,4,8,2,7,1]=>[1,7,2,8,4,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [3,5,1,4,8,2,7,6]=>[6,7,2,8,4,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,7,5,4,8,2,6,3]=>[3,6,2,8,4,5,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,7,5,1,6,4,8,2]=>[2,8,4,6,1,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,7,5,4,8,1,3,6]=>[6,3,1,8,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,5,4,8,6,1,3]=>[3,1,6,8,4,5,7,2]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,7,5,4,8,6,3,2]=>[2,3,6,8,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [2,5,1,4,8,7,3,6]=>[6,3,7,8,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,6,4,2,8,7,1,5]=>[5,1,7,8,2,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,5,2,4,8,1,6,7]=>[7,6,1,8,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,6,4,8,1,2,7]=>[7,2,1,8,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,6,4,8,7,2,3]=>[3,2,7,8,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [3,6,4,1,8,7,2,5]=>[5,2,7,8,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,6,4,5,8,7,2,1]=>[1,2,7,8,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [1,6,4,3,8,5,2,7]=>[7,2,5,8,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,1,3,4,5,8,2,6]=>[6,2,8,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,6,1,4,5,3,8,2]=>[2,8,3,5,4,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,1,3,5,4,8,2]=>[2,8,4,5,3,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,3,2,5,8,4,6]=>[6,4,8,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,6,4,2,8,5,3,7]=>[7,3,5,8,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,6,5,8,2,4,3,1]=>[1,3,4,2,8,5,6,7]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [7,6,5,8,3,1,4,2]=>[2,4,1,3,8,5,6,7]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [2,6,4,3,8,5,7,1]=>[1,7,5,8,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [7,2,3,1,5,8,6,4]=>[4,6,8,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,1,5,6,3,8,4,2]=>[2,4,8,3,6,5,1,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,3,6,5,1,4,8,2]=>[2,8,4,1,5,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,2,6,5,3,8,1,4]=>[4,1,8,3,5,6,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,2,3,1,4,8,6,5]=>[5,6,8,4,1,3,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [7,2,3,5,4,8,6,1]=>[1,6,8,4,5,3,2,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,6,4,5,8,1,7,3]=>[3,7,1,8,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,5,6,4,8,3,7,2]=>[2,7,3,8,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [2,5,6,4,8,3,1,7]=>[7,1,3,8,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,6,1,4,7,8,2]=>[2,8,7,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,1,3,4,5,8,2]=>[2,8,5,4,3,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,3,2,4,8,5,6]=>[6,5,8,4,2,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,6,1,5,3,4,8,2]=>[2,8,4,3,5,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,1,5,4,3,8,2]=>[2,8,3,4,5,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,4,5,8,3,2,7]=>[7,2,3,8,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,6,5,8,1,3,2,4]=>[4,2,3,1,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [3,4,6,8,7,2,1,5]=>[5,1,2,7,8,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [3,5,6,8,2,1,7,4]=>[4,7,1,2,8,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,2,1,5,3,7,8,6]=>[6,8,7,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,5,6,3,1,8,7]=>[7,8,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,5,6,8,1,7,2,4]=>[4,2,7,1,8,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,1,5,6,3,2,8,7]=>[7,8,2,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,3,1,7,2,8,6]=>[6,8,2,7,1,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,3,5,2,7,8,6]=>[6,8,7,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,5,4,7,3,8,6,1]=>[1,6,8,3,7,4,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,5,7,1,8,4,2,6]=>[6,2,4,8,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,1,5,3,2,7,8,6]=>[6,8,7,2,3,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,3,7,1,2,8,6]=>[6,8,2,1,7,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,6,1,2,7,5,8]=>[8,5,7,2,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,2,4,6,7,8]=>[8,7,6,4,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,7,4,5,2,8]=>[8,2,5,4,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,4,2,6,7,8]=>[8,7,6,2,4,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,4,2,6,7,8]=>[8,7,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,3,7,1,8,6]=>[6,8,1,7,3,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,6,1,3,7,5,8]=>[8,5,7,3,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,1,3,7,5,8]=>[8,5,7,3,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,1,7,4,8,5]=>[5,8,4,7,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,4,7,6,5,2,8]=>[8,2,5,6,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,7,1,5,8,4]=>[4,8,5,1,7,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,6,2,7,1,3,5,8]=>[8,5,3,1,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,1,8,2,6,4]=>[4,6,2,8,1,7,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,1,4,2,3,6,7,8]=>[8,7,6,3,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,7,2,5,8,4]=>[4,8,5,2,7,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,6,5,3,4,7,8,1]=>[1,8,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,1,7,5,4,2,8]=>[8,2,4,5,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,4,3,2,6,7,8]=>[8,7,6,2,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,3,2,6,7,8]=>[8,7,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,2,5,3,8,1,7]=>[7,1,8,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,2,3,5,1,8,7]=>[7,8,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,4,5,1,8,3,7]=>[7,3,8,1,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,2,3,5,8,1,7]=>[7,1,8,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,8,1,6,7,4,5,3]=>[3,5,4,7,6,1,8,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [6,8,4,5,7,2,3,1]=>[1,3,2,7,5,4,8,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,4,1]=>1 [2,8,6,1,4,7,5,3]=>[3,5,7,4,1,6,8,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [2,8,1,6,4,7,5,3]=>[3,5,7,4,6,1,8,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [2,6,1,4,8,5,3,7]=>[7,3,5,8,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,5,2,8,3,1,7]=>[7,1,3,8,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,3,6,1,8,5,7]=>[7,5,8,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,3,8,6,1,7,5]=>[5,7,1,6,8,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,5,8,2,3,7,1]=>[1,7,3,2,8,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,4,8,5,2,3,7,1]=>[1,7,3,2,5,8,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,2,8,3,1,6,7,5]=>[5,7,6,1,3,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,4,8,1,3,6,7,5]=>[5,7,6,3,1,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,4,1,8,3,6,7,5]=>[5,7,6,3,8,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,4,8,2,5,3,7,1]=>[1,7,3,5,2,8,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,6,8,2,3,5,7,1]=>[1,7,5,3,2,8,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,6,8,4,1,5,7,3]=>[3,7,5,1,4,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,6,8,1,4,5,7,3]=>[3,7,5,4,1,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,8,1,4,6,7,3,5]=>[5,3,7,6,4,1,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,8,6,2,3,7,5,1]=>[1,5,7,3,2,6,8,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [8,4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [7,6,4,5,1,3,8,2]=>[2,8,3,1,5,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,7,5,3,4,8,2]=>[2,8,4,3,5,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,2,3,8,4,1,5]=>[5,1,4,8,3,2,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,6,7,5,8,2,3,4]=>[4,3,2,8,5,7,6,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,2,5,8,3,4,7,1]=>[1,7,4,3,8,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,2,3,8,7,4,1,5]=>[5,1,4,7,8,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,7,3,5,8,6,1]=>[1,6,8,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,5,3,7,1,8,4,6]=>[6,4,8,1,7,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,2,8,3,1,4,6,7]=>[7,6,4,1,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,1,3,6,4,7,2]=>[2,7,4,6,3,1,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,8,1,4,3,6,2,7]=>[7,2,6,3,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,4,1,3,7,6,2]=>[2,6,7,3,1,4,8,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [6,4,5,3,8,1,7,2]=>[2,7,1,8,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,5,1,3,6,2,8,7]=>[7,8,2,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,6,5,1,7,3,8]=>[8,3,7,1,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,7,2,1,6,8]=>[8,6,1,2,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,6,8,1,2,5]=>[5,2,1,8,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,4,6,2,5,8,7,1]=>[1,7,8,5,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,5,2,4,6,1,8,7]=>[7,8,1,6,4,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,5,1,6,8,3,7]=>[7,3,8,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,8,2,3,6,5,7,4]=>[4,7,5,6,3,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,2,8,3,5,7,1,6]=>[6,1,7,5,3,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,8,6,5,7,1,2]=>[2,1,7,5,6,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,3,7,2,6,5,8,4]=>[4,8,5,6,2,7,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,6,4,2,5,8,7]=>[7,8,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,5,4,7,3,6,8,2]=>[2,8,6,3,7,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,2,3,8,4,1,7,6]=>[6,7,1,4,8,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,5,3,4,8,2,1,6]=>[6,1,2,8,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,2,8,3,4,1,5,6]=>[6,5,1,4,3,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,4,3,8,5,2,6,1]=>[1,6,2,5,8,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,6,2,7,3,1,5,8]=>[8,5,1,3,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,8,2,4,5,1]=>[1,5,4,2,8,3,6,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [7,2,8,5,1,3,4,6]=>[6,4,3,1,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,5,3,7,6,8,4,2]=>[2,4,8,6,7,3,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,6,3,7,8,2,4,5]=>[5,4,2,8,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,4,3,7,8,5,2,6]=>[6,2,5,8,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,2,6,5,7,8,3,1]=>[1,3,8,7,5,6,2,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,2,6,7,5,8,1,3]=>[3,1,8,5,7,6,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,2,4,7,8,5,1,6]=>[6,1,5,8,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,2,6,7,8,1,4,5]=>[5,4,1,8,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,1,8,3,6,4,7,2]=>[2,7,4,6,3,8,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,1,3,8,7,6,4,2]=>[2,4,6,7,8,3,1,5]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,2,2,1,1]=>2 [3,4,8,1,7,6,2,5]=>[5,2,6,7,1,8,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,7,6,8,5,1,3,2]=>[2,3,1,5,8,6,7,4]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [6,7,4,8,5,1,3,2]=>[2,3,1,5,8,4,7,6]=>[1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [5,3,6,8,7,1,4,2]=>[2,4,1,7,8,6,3,5]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [1,8,4,6,7,2,5,3]=>[3,5,2,7,6,4,8,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [5,2,8,3,7,1,6,4]=>[4,6,1,7,3,8,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [7,4,5,8,6,1,3,2]=>[2,3,1,6,8,5,4,7]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [4,3,6,8,7,1,5,2]=>[2,5,1,7,8,6,3,4]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [6,4,8,3,1,7,5,2]=>[2,5,7,1,3,8,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [3,6,5,8,7,1,4,2]=>[2,4,1,7,8,5,6,3]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [5,7,4,8,2,6,3,1]=>[1,3,6,2,8,4,7,5]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [5,6,4,8,2,7,3,1]=>[1,3,7,2,8,4,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [5,6,8,3,1,7,4,2]=>[2,4,7,1,3,8,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [4,6,3,8,2,7,5,1]=>[1,5,7,2,8,3,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [5,3,8,1,7,2,6,4]=>[4,6,2,7,1,8,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [6,5,8,1,3,7,4,2]=>[2,4,7,3,1,8,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [6,5,3,8,2,7,4,1]=>[1,4,7,2,8,3,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [6,4,8,1,3,7,5,2]=>[2,5,7,3,1,8,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,2,8,3,4,7,5,1]=>[1,5,7,4,3,8,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [1,5,4,3,7,8,2,6]=>[6,2,8,7,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,2,7,6,3,1,5,8]=>[8,5,1,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,1,7,5,2,4,8]=>[8,4,2,5,7,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [4,2,7,6,3,1,8,5]=>[5,8,1,3,6,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,6,3,1,8,4,2,5]=>[5,2,4,8,1,3,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3,8]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,2,2,1,1]=>1 [8,4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4,8]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,2,3,1,1]=>1 [8,7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7,8]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>1 [5,2,8,6,3,7,4,1]=>[1,4,7,3,6,8,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [1,8,2,7,5,3,6,4]=>[4,6,3,5,7,2,8,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [7,5,2,1,8,3,6,4]=>[4,6,3,8,1,2,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,2,8,7,4,1,6,3]=>[3,6,1,4,7,8,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [8,7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [7,4,1,5,2,8,6,3]=>[3,6,8,2,5,1,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,6,3,1,4,2,8,5]=>[5,8,2,4,1,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,5,2,8,6,3,1,4]=>[4,1,3,6,8,2,5,7]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,5,2,1,3,6,4,8]=>[8,4,6,3,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [1,3,7,6,5,8,2,4]=>[4,2,8,5,6,7,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6,8]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [6,4,8,7,5,2,1,3]=>[3,1,2,5,7,8,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [6,4,7,5,2,1,3,8]=>[8,3,1,2,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,1,4,7,5,2,8]=>[8,2,5,7,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,1,4,8,7,5,2]=>[2,5,7,8,4,1,3,6]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [8,6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [1,8,2,5,7,6,4,3]=>[3,4,6,7,5,2,8,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,1,2,1,1]=>3 [1,8,2,6,4,7,5,3]=>[3,5,7,4,6,2,8,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [6,3,8,7,4,1,5,2]=>[2,5,1,4,7,8,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [7,4,1,6,3,5,2,8]=>[8,2,5,3,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [6,4,7,5,2,1,8,3]=>[3,8,1,2,5,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [6,3,5,2,7,4,1,8]=>[8,1,4,7,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,2,6,3,1,8]=>[8,1,3,6,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,2,6,3,1,8]=>[8,1,3,6,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,3,5,7,1,8]=>[8,1,7,5,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,8,2,7,3,6]=>[6,3,7,2,8,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,4,5,8,1,6,7,3]=>[3,7,6,1,8,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3,8]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [4,2,5,7,8,1,6,3]=>[3,6,1,8,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [8,3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [6,1,3,7,4,2,5,8]=>[8,5,2,4,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,8,2,7,4,5]=>[5,4,7,2,8,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,8,2,3,1,6,7,5]=>[5,7,6,1,3,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6,8]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>3 [5,7,4,2,8,1,6,3]=>[3,6,1,8,2,4,7,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [6,3,7,2,8,1,5,4]=>[4,5,1,8,2,7,3,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,5,2,8,6,1,4,3]=>[3,4,1,6,8,2,5,7]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [1,6,8,5,2,4,3,7]=>[7,3,4,2,5,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,5,7,2,8,1,6,3]=>[3,6,1,8,2,7,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,5,6,8,3,1,7,2]=>[2,7,1,3,8,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [8,4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [5,6,4,8,3,1,7,2]=>[2,7,1,3,8,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,8,1,6,2,3,7,5]=>[5,7,3,2,6,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,5,3,1,7,2,6,8]=>[8,6,2,7,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,1,2,6,5,8]=>[8,5,6,2,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,1,3,6,4,8]=>[8,4,6,3,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,1,2,4,3,6,5]=>[5,6,3,4,2,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [4,8,3,1,2,5,7,6]=>[6,7,5,2,1,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,1,3,6,5,7,8,2]=>[2,8,7,5,6,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>3 [2,6,5,3,1,7,8,4]=>[4,8,7,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,4,3,6,8,2,5]=>[5,2,8,6,3,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,6,3,1,8,4,5]=>[5,4,8,1,3,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,8,4,6,3,7,5,1]=>[1,5,7,3,6,4,8,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [8,7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7,8]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [1,8,5,7,4,2,6,3]=>[3,6,2,4,7,5,8,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [4,8,6,2,7,1,5,3]=>[3,5,1,7,2,6,8,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [2,1,4,7,5,8,3,6]=>[6,3,8,5,7,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,3,5,8,7,4,1,2]=>[2,1,4,7,8,5,3,6]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [1,4,8,7,3,5,6,2]=>[2,6,5,3,7,8,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [3,6,8,5,7,4,1,2]=>[2,1,4,7,5,8,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [4,7,6,8,5,3,1,2]=>[2,1,3,5,8,6,7,4]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [5,7,2,8,6,4,1,3]=>[3,1,4,6,8,2,7,5]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [2,8,7,6,4,5,3,1]=>[1,3,5,4,6,7,8,2]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>1 [1,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>2 [4,6,7,2,5,3,1,8]=>[8,1,3,5,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,7,4,8,1,5,2]=>[2,5,1,8,4,7,6,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [3,8,5,7,6,1,4,2]=>[2,4,1,6,7,5,8,3]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [1,4,7,8,2,6,5,3]=>[3,5,6,2,8,7,4,1]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [2,4,7,8,1,6,5,3]=>[3,5,6,1,8,7,4,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [4,2,6,8,7,1,5,3]=>[3,5,1,7,8,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [6,1,3,8,2,7,5,4]=>[4,5,7,2,8,3,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [5,1,8,4,2,7,6,3]=>[3,6,7,2,4,8,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [6,8,3,7,1,5,4,2]=>[2,4,5,1,7,3,8,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>2 [2,6,8,4,1,7,5,3]=>[3,5,7,1,4,8,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [4,5,8,6,3,1,7,2]=>[2,7,1,3,6,8,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,6,1,8,2,7,5,4]=>[4,5,7,2,8,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [6,3,7,1,2,8,5,4]=>[4,5,8,2,1,7,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,7,8,3,5,2,4,6]=>[6,4,2,5,3,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [1,7,2,4,8,5,3,6]=>[6,3,5,8,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,7,8,5,4,3,2,6]=>[6,2,3,4,5,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,6,8,7,4,3,5,1]=>[1,5,3,4,7,8,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>1 [1,2,6,7,8,4,3,5]=>[5,3,4,8,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1,8]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>2 [4,7,1,3,6,8,2,5]=>[5,2,8,6,3,1,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,7,5,6,8,2,4]=>[4,2,8,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,3,6,5,7,1,8,4]=>[4,8,1,7,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,5,4,2,1,8,6]=>[6,8,1,2,4,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,6,7,4,2,8,5]=>[5,8,2,4,7,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [1,7,8,6,5,3,2,4]=>[4,2,3,5,6,8,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7,8]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [8,7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [1,7,2,8,5,6,4,3]=>[3,4,6,5,8,2,7,1]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [2,7,1,8,4,6,5,3]=>[3,5,6,4,8,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [3,7,8,2,1,6,5,4]=>[4,5,6,1,2,8,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [8,7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7,8]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>2 [1,8,2,3,6,5,4,7]=>[7,4,5,6,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,5,8,4,7,2,6,1]=>[1,6,2,7,4,8,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [2,8,5,4,6,3,1,7]=>[7,1,3,6,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,5,8,4,7,3,6,1]=>[1,6,3,7,4,8,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [3,6,4,2,7,8,5,1]=>[1,5,8,7,2,4,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,5,4,1,6,2,7,8]=>[8,7,2,6,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,8,1,7,6,2,3]=>[3,2,6,7,1,8,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [3,5,8,4,7,1,6,2]=>[2,6,1,7,4,8,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,5,8,4,7,3,6,2]=>[2,6,3,7,4,8,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [3,6,4,8,7,5,2,1]=>[1,2,5,7,8,4,6,3]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,3,2,1]=>1 [7,1,3,4,8,6,5,2]=>[2,5,6,8,4,3,1,7]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [7,6,1,3,8,4,2,5]=>[5,2,4,8,3,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,6,4,2,7,8,3,5]=>[5,3,8,7,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,6,4,3,7,1,8,5]=>[5,8,1,7,3,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,3,1,8,6,4,5]=>[5,4,6,8,1,3,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,2,3,4,1,6,8,5]=>[5,8,6,1,4,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,4,3,8,5,7,6]=>[6,7,5,8,3,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [7,3,8,6,1,4,2,5]=>[5,2,4,1,6,8,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [2,6,4,8,7,1,5,3]=>[3,5,1,7,8,4,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,5,8,4,7,6,2,3]=>[3,2,6,7,4,8,5,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [3,5,8,1,6,7,2,4]=>[4,2,7,6,1,8,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,6,1,8,5,4,2,3]=>[3,2,4,5,8,1,6,7]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [4,1,6,5,8,2,7,3]=>[3,7,2,8,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [3,1,6,5,8,4,7,2]=>[2,7,4,8,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,2,6,5,8,4,7,1]=>[1,7,4,8,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,3,7,1,6,5,8,2]=>[2,8,5,6,1,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,2,6,4,8,3,7,1]=>[1,7,3,8,4,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,1,6,4,8,3,7,2]=>[2,7,3,8,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,1,6,4,8,2,7,3]=>[3,7,2,8,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,2,6,4,8,1,7,3]=>[3,7,1,8,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,3,7,5,8,1,6,2]=>[2,6,1,8,5,7,3,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,3,7,5,8,2,6,1]=>[1,6,2,8,5,7,3,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,3,7,4,8,2,6,1]=>[1,6,2,8,4,7,3,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,3,7,4,8,1,6,2]=>[2,6,1,8,4,7,3,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,4,8,1,6,2,7,3]=>[3,7,2,6,1,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,3,7,2,6,1,8,5]=>[5,8,1,6,2,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,7,1,5,2,8,6]=>[6,8,2,5,1,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,7,1,6,2,8,5]=>[5,8,2,6,1,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,8,2,6,3,7,1]=>[1,7,3,6,2,8,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,4,8,1,6,3,7,2]=>[2,7,3,6,1,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,1,7,5,2,3,6,8]=>[8,6,3,2,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,8,7,6,3,2,5]=>[5,2,3,6,7,8,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [4,7,2,8,3,5,1,6]=>[6,1,5,3,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,8,3,2,1,4,7,5]=>[5,7,4,1,2,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,7,5,2,1,8,3,4]=>[4,3,8,1,2,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,5,8,4,3,1,6,2]=>[2,6,1,3,4,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [6,7,5,2,8,4,1,3]=>[3,1,4,8,2,5,7,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4,8]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,4,1]=>1 [5,2,6,7,3,8,4,1]=>[1,4,8,3,7,6,2,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [6,1,2,7,5,8,4,3]=>[3,4,8,5,7,2,1,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [3,4,7,5,1,6,8,2]=>[2,8,6,1,5,7,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,2,6,5,8,4,3]=>[3,4,8,5,6,2,1,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [6,2,5,7,3,8,4,1]=>[1,4,8,3,7,5,2,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [7,3,4,6,2,8,5,1]=>[1,5,8,2,6,4,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,5,2,6,8,3,7,1]=>[1,7,3,8,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,8,3,2,5,7,6,1]=>[1,6,7,5,2,3,8,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [7,2,4,3,8,5,6,1]=>[1,6,5,8,3,4,2,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [6,8,5,3,4,7,2,1]=>[1,2,7,4,3,5,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [8,2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2,8]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>3 [6,1,7,5,8,4,2,3]=>[3,2,4,8,5,7,1,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4,8]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [6,8,3,4,7,2,5,1]=>[1,5,2,7,4,3,8,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [8,3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3,8]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [4,7,6,2,5,8,3,1]=>[1,3,8,5,2,6,7,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [1,8,3,5,2,6,7,4]=>[4,7,6,2,5,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,8,3,5,1,4,7,2]=>[2,7,4,1,5,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,8,4,7,2,3,5,1]=>[1,5,3,2,7,4,8,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,1]=>1 [1,7,2,6,5,8,4,3]=>[3,4,8,5,6,2,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [7,5,3,4,8,2,6,1]=>[1,6,2,8,4,3,5,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,3,8,2,4,7,6,1]=>[1,6,7,4,2,8,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [6,7,2,8,5,4,3,1]=>[1,3,4,5,8,2,7,6]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,3]=>1 [3,7,4,6,2,8,5,1]=>[1,5,8,2,6,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,8,5,4,2,3,7,1]=>[1,7,3,2,4,5,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [5,8,2,4,3,7,6,1]=>[1,6,7,3,4,2,8,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [3,4,5,8,2,7,6,1]=>[1,6,7,2,8,5,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [6,8,3,4,5,2,7,1]=>[1,7,2,5,4,3,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [7,4,6,3,2,8,5,1]=>[1,5,8,2,3,6,4,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [10,1,2,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,2,1,10]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[5,4,1]=>5 [6,5,3,8,4,2,7,1]=>[1,7,2,4,8,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,7,3,5,6,2,8,1]=>[1,8,2,6,5,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,1,6,8,4,7,5,2]=>[2,5,7,4,8,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [8,3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>2 [2,7,3,5,8,6,4,1]=>[1,4,6,8,5,3,7,2]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [2,4,7,5,8,6,1,3]=>[3,1,6,8,5,7,4,2]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,5,4,7,8,1,6,3]=>[3,6,1,8,7,4,5,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,4,6,8,1,7,5,3]=>[3,5,7,1,8,6,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [5,7,3,8,6,2,1,4]=>[4,1,2,6,8,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,4,3,8,6,2,1,5]=>[5,1,2,6,8,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,4,7,2,8,5,1,6]=>[6,1,5,8,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,5,2,7,8,1,4,6]=>[6,4,1,8,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,5,2,8,1,4,7,6]=>[6,7,4,1,8,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,6,2,1,8,5,7]=>[7,5,8,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,4,2,7,5,1,8]=>[8,1,5,7,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,2,1,7,4,8]=>[8,4,7,1,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,4,2,3,6,7,1]=>[1,7,6,3,2,4,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,4,8,3,2,1,5,7]=>[7,5,1,2,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,4,2,3,7,5,1]=>[1,5,7,3,2,4,8,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [3,6,4,2,1,8,7,5]=>[5,7,8,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,8,6,5,4,1,7,3]=>[3,7,1,4,5,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,5,6,4,1,8,7,3]=>[3,7,8,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [3,8,6,2,5,7,1,4]=>[4,1,7,5,2,6,8,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,8,6,5,3,7,4,1]=>[1,4,7,3,5,6,8,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [2,6,5,4,1,7,8,3]=>[3,8,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,6,3,2,8,1,4]=>[4,1,8,2,3,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,7,3,2,8,1,4]=>[4,1,8,2,3,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,6,4,2,7,1,8,5]=>[5,8,1,7,2,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,5,4,2,3,8,6,1]=>[1,6,8,3,2,4,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [6,7,4,3,2,1,8,5]=>[5,8,1,2,3,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,6,3,2,1,5,7,8]=>[8,7,5,1,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,5,8,7,3,4]=>[4,3,7,8,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,5,2,7,4,6,8,3]=>[3,8,6,4,7,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,2,7,3,6,8,4]=>[4,8,6,3,7,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,2,8,3,6,7,4]=>[4,7,6,3,8,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,6,3,4,8,7,2,1]=>[1,2,7,8,4,3,6,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [6,5,3,4,8,7,2,1]=>[1,2,7,8,4,3,5,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [5,1,2,8,3,6,4,7]=>[7,4,6,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5,8]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,4,1,1]=>1 [4,1,2,7,3,6,5,8]=>[8,5,6,3,7,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,2,4,5,3,8]=>[8,3,5,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,8,2,4,5,3,7]=>[7,3,5,4,2,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,1,2,3,4,7,6]=>[6,7,4,3,2,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,1,8,2,3,5,4,6]=>[6,4,5,3,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,2,8,3,6,4,5]=>[5,4,6,3,8,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,1,8,2,3,5,7,4]=>[4,7,5,3,2,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,1,7,2,3,5,8,4]=>[4,8,5,3,2,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,8,2,7,4,6,5,3]=>[3,5,6,4,7,2,8,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [7,1,6,2,3,5,8,4]=>[4,8,5,3,2,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,3,7,4,6,2,1]=>[1,2,6,4,7,3,8,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,4,1,1]=>1 [6,8,7,3,4,5,2,1]=>[1,2,5,4,3,7,8,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,3,2,1]=>1 [1,8,7,2,4,5,3,6]=>[6,3,5,4,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [8,7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,7,6,2,4,5,3,8]=>[8,3,5,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,7,4,6,3,5,2]=>[2,5,3,6,4,7,8,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [6,7,2,5,1,4,8,3]=>[3,8,4,1,5,2,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,5,8,7,3,6,1]=>[1,6,3,7,8,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [8,1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [1,3,4,8,7,5,6,2]=>[2,6,5,7,8,4,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [2,3,4,6,8,5,7,1]=>[1,7,5,8,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,3,5,7,4,8,6,1]=>[1,6,8,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,5,7,1,8,6,3,4]=>[4,3,6,8,1,7,5,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,5,6,8,3,7,4,2]=>[2,4,7,3,8,6,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [8,1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [1,3,8,5,2,4,6,7]=>[7,6,4,2,5,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [1,6,2,7,8,5,3,4]=>[4,3,5,8,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,5,2,6,7,8,4,1]=>[1,4,8,7,6,2,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [4,5,1,6,7,3,8,2]=>[2,8,3,7,6,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,8,4,1,7,5,3,6]=>[6,3,5,7,1,4,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [4,2,8,7,1,5,3,6]=>[6,3,5,1,7,8,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,2,6,8,1,7,4,3]=>[3,4,7,1,8,6,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [5,7,3,2,6,8,1,4]=>[4,1,8,6,2,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [6,1,7,2,3,8,5,4]=>[4,5,8,3,2,7,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,2,8,6,1,4,5,7]=>[7,5,4,1,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,6,7,8,4,2,5]=>[5,2,4,8,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,1,4,8,5,6,2,7]=>[7,2,6,5,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,1,8,2,3,6,4,7]=>[7,4,6,3,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,7,8,9,2,3,4,5]=>[5,4,3,2,9,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,4]=>5 [8,6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,6,3,8,7,5,4,1]=>[1,4,5,7,8,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,3,1,2,1]=>1 [8,2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,6,1,8,7,5,4,2]=>[2,4,5,7,8,1,6,3]=>[1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,2,1,2,1]=>2 [3,4,8,2,7,6,5,1]=>[1,5,6,7,2,8,4,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,4,1,1,1]=>1 [3,4,8,7,1,6,5,2]=>[2,5,6,1,7,8,4,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [8,1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1,8]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,2,2,1,1]=>2 [4,1,8,5,7,6,3,2]=>[2,3,6,7,5,8,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,3,1,1]=>2 [8,2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3,8]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [2,8,3,7,4,6,5,1]=>[1,5,6,4,7,3,8,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,1,1,1]=>1 [8,2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2,8]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [8,2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2,8]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [2,4,8,5,7,6,3,1]=>[1,3,6,7,5,8,4,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,3,1,1]=>1 [8,2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [6,2,1,8,7,5,4,3]=>[3,4,5,7,8,1,2,6]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,1,2,1]=>3 [8,1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [4,2,8,3,7,6,5,1]=>[1,5,6,7,3,8,2,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,4,1,1,1]=>1 [4,8,2,1,7,6,5,3]=>[3,5,6,7,1,2,8,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,2,1,1,1]=>3 [5,1,8,7,2,6,4,3]=>[3,4,6,2,7,8,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [5,8,1,3,7,6,2,4]=>[4,2,6,7,3,1,8,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,3,8,1,7,6,5,2]=>[2,5,6,7,1,8,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,1,1,1]=>2 [5,1,7,4,3,2,6,8]=>[8,6,2,3,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,3,2,4,1,8]=>[8,1,4,2,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,3,2,8,6,4]=>[4,6,8,2,3,1,7,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [5,8,1,3,2,7,4,6]=>[6,4,7,2,3,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,5,1,3,2,4,8,6]=>[6,8,4,2,3,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,5,8,2,1,4,3,6]=>[6,3,4,1,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,4,3,1,2,8,6,5]=>[5,6,8,2,1,3,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,2,8,1,4,7,5,6]=>[6,5,7,4,1,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,8,1,2,5,7,4,3]=>[3,4,7,5,2,1,8,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [8,1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,5,4,8,2,3,7,6]=>[6,7,3,2,8,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,8,6,5,2,3,7,4]=>[4,7,3,2,5,6,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5,8]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>2 [1,7,8,2,3,5,6,4]=>[4,6,5,3,2,8,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,5,8,2,3,1,4,6]=>[6,4,1,3,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,4,1,2,6,8,3,5]=>[5,3,8,6,2,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,1,3,8,2,5,6,4]=>[4,6,5,2,8,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,2,8,1,5,7,3,4]=>[4,3,7,5,1,8,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,2,5,4,1,8,6,3]=>[3,6,8,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,3,5,4,2,1,8,6]=>[6,8,1,2,4,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,5,2,1,6,8,3]=>[3,8,6,1,2,5,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,4,3,2,6,1,8,5]=>[5,8,1,6,2,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,2,8,5,6,1,4]=>[4,1,6,5,8,2,3,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,2,5,4,1,6,3,8]=>[8,3,6,1,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,4,7,8,3,6]=>[6,3,8,7,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,1,2,8,6,7,4]=>[4,7,6,8,2,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,5,3,4,7,8,1,6]=>[6,1,8,7,4,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,4,3,6,8,5,1]=>[1,5,8,6,3,4,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [1,7,4,3,6,8,5,2]=>[2,5,8,6,3,4,7,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [3,7,1,8,2,5,6,4]=>[4,6,5,2,8,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [4,7,6,3,2,5,8,1]=>[1,8,5,2,3,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,6,5,2,3,8,1]=>[1,8,3,2,5,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,6,5,1,3,8,2]=>[2,8,3,1,5,6,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,7,6,5,2,3,8,4]=>[4,8,3,2,5,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,6,5,8,3,2,4]=>[4,2,3,8,5,6,7,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,7,6,5,1,3,2,8]=>[8,2,3,1,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,5,3,8,1,2]=>[2,1,8,3,5,6,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,7,6,3,2,8,4,1]=>[1,4,8,2,3,6,7,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,4,6,8,7,2,1,3]=>[3,1,2,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>3 [6,3,4,2,8,1,5,7]=>[7,5,1,8,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,7,4,2,1,8,5,3]=>[3,5,8,1,2,4,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [6,7,3,2,1,8,5,4]=>[4,5,8,1,2,3,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [5,7,6,2,1,4,8,3]=>[3,8,4,1,2,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,7,6,3,2,8,4,5]=>[5,4,8,2,3,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,2,1,7,3,6,8]=>[8,6,3,7,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,8,1,7,3,4,2]=>[2,4,3,7,1,8,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [6,5,8,2,3,7,4,1]=>[1,4,7,3,2,8,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,5,8,3,4,1,7,2]=>[2,7,1,4,3,8,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,7,3,6,8,1,4,2]=>[2,4,1,8,6,3,7,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [5,7,2,6,3,1,4,8]=>[8,4,1,3,6,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,8,5,6,3,7]=>[7,3,6,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,2,8,5,3,6,7]=>[7,6,3,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,1,6,3,7,8,5,4]=>[4,5,8,7,3,6,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [4,7,1,6,8,2,5,3]=>[3,5,2,8,6,1,7,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,7,4,1,6,5,2,8]=>[8,2,5,6,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,1,4,5,6,8]=>[8,6,5,4,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,8,2,6,1,7,4]=>[4,7,1,6,2,8,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,2,7,8,3,5,1,6]=>[6,1,5,3,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,5,1,7,3,6,8,2]=>[2,8,6,3,7,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,2,8,5,1,6,7]=>[7,6,1,5,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,7,6,2,8,4,1,5]=>[5,1,4,8,2,6,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,7,6,1,5,2,8,4]=>[4,8,2,5,1,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,6,5,8,4,1,2]=>[2,1,4,8,5,6,7,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,7,6,2,5,8,4,3]=>[3,4,8,5,2,6,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,7,6,5,8,4,2,3]=>[3,2,4,8,5,6,7,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,7,6,5,8,1,2,4]=>[4,2,1,8,5,6,7,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,7,6,2,8,4,5,1]=>[1,5,4,8,2,6,7,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [4,3,6,8,5,1,2,7]=>[7,2,1,5,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,7,6,1,5,4,8,2]=>[2,8,4,5,1,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,7,2,6,8,5,1,3]=>[3,1,5,8,6,2,7,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,7,1,5,8,4,3,6]=>[6,3,4,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,6,1,8,4,3,5]=>[5,3,4,8,1,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,1,2,6,3,5,4,8]=>[8,4,5,3,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,5,8,4,3,1]=>[1,3,4,8,5,7,2,6]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [7,2,5,1,4,6,3,8]=>[8,3,6,4,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,6,3,4,5,1,8]=>[8,1,5,4,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,1,5,2,6,8]=>[8,6,2,5,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,8,4,2,5,3,1]=>[1,3,5,2,4,8,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,2,3]=>1 [6,1,2,5,7,8,4,3]=>[3,4,8,7,5,2,1,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [3,7,8,6,2,5,1,4]=>[4,1,5,2,6,8,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [3,6,1,4,8,7,5,2]=>[2,5,7,8,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [4,1,2,7,8,5,3,6]=>[6,3,5,8,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,3,1,2,6,8,5]=>[5,8,6,2,1,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,4,5,8,1,7,2]=>[2,7,1,8,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,7,6,1,5,8,2,4]=>[4,2,8,5,1,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,7,6,5,4,1,8,3]=>[3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,8,5,4,6,7,1,2]=>[2,1,7,6,4,5,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,8,5,6,4,2,7,1]=>[1,7,2,4,6,5,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [1,2,6,4,3,5,8,7]=>[7,8,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,6,4,7,8,5,1]=>[1,5,8,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,2,7,5,8,3,1,6]=>[6,1,3,8,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,2,7,1,3,8,6,5]=>[5,6,8,3,1,7,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [4,8,1,6,2,7,5,3]=>[3,5,7,2,6,1,8,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [5,7,2,3,1,4,6,8]=>[8,6,4,1,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,3,2,7,4,8]=>[8,4,7,2,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,3,1,7,4,8]=>[8,4,7,1,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,8,4,2,7,5,3]=>[3,5,7,2,4,8,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [5,7,2,3,8,4,1,6]=>[6,1,4,8,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,2,1,4,7,8,3,6]=>[6,3,8,7,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,6,2,7,3,4,8,1]=>[1,8,4,3,7,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,1,3,8,5,4,7,2]=>[2,7,4,5,8,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,7,8,6,1,2,4,5]=>[5,4,2,1,6,8,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,6,8,5,1,3,4]=>[4,3,1,5,8,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,7,8,6,1,5,4,3]=>[3,4,5,1,6,8,7,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [2,7,6,8,5,3,1,4]=>[4,1,3,5,8,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [4,7,6,8,2,1,3,5]=>[5,3,1,2,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [4,7,8,6,1,3,2,5]=>[5,2,3,1,6,8,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [1,7,8,6,5,2,3,4]=>[4,3,2,5,6,8,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [5,7,4,6,3,1,2,8]=>[8,2,1,3,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,8,3,7,4,2]=>[2,4,7,3,8,1,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,7,6,8,1,2,3,5]=>[5,3,2,1,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [2,8,4,1,5,7,3,6]=>[6,3,7,5,1,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,4,6,3,1,7,5]=>[5,7,1,3,6,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,2,8,7,4,3,5,6]=>[6,5,3,4,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,4,6,2,5,7,8,3]=>[3,8,7,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,8,6,3,5,7,1]=>[1,7,5,3,6,8,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,6,8,1,3,2,5,7]=>[7,5,2,3,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,5,8,6,4,1,7,3]=>[3,7,1,4,6,8,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,4,6,1,5,7,3,8]=>[8,3,7,5,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,2,3,5,6,8,1]=>[1,8,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,2,3,1,5,6,8]=>[8,6,5,1,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,6,2,8,3,5,1]=>[1,5,3,8,2,6,4,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,3,5,1,4,8,2,6]=>[6,2,8,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,2,5,1,4,8,6,3]=>[3,6,8,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,5,3,6,8,4,2,7]=>[7,2,4,8,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,5,4,3,8,6,2,1]=>[1,2,6,8,3,4,5,7]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [4,3,8,2,6,7,5,1]=>[1,5,7,6,2,8,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [4,3,8,2,5,7,1,6]=>[6,1,7,5,2,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,4,3,8,7,6,2,5]=>[5,2,6,7,8,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [5,1,8,6,4,7,2,3]=>[3,2,7,4,6,8,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,1,8,5,6,3,7,2]=>[2,7,3,6,5,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,5,2,3,8,6,4,7]=>[7,4,6,8,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,5,2,3,8,1,6,4]=>[4,6,1,8,3,2,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,2,7,8,6,1,3,4]=>[4,3,1,6,8,7,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,1,7,8,6,3,5,4]=>[4,5,3,6,8,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [6,5,2,3,8,1,7,4]=>[4,7,1,8,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [7,5,2,3,8,4,1,6]=>[6,1,4,8,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,5,1,7,6,3,8,2]=>[2,8,3,6,7,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,8,2,4,1,6,3,5]=>[5,3,6,1,4,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,2,7,8,3,4,5,1]=>[1,5,4,3,8,7,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [8,5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,1,3,1]=>2 [9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,7,1]=>1 [1,2,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,4,6,7,5,3,8,9]=>[9,8,3,5,7,6,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,1,7,5,8,6,3,4]=>[4,3,6,8,5,7,1,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [4,7,3,8,6,5,2,1]=>[1,2,5,6,8,3,7,4]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,3,1,2]=>1 [3,8,7,4,6,5,1,2]=>[2,1,5,6,4,7,8,3]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [7,3,8,4,6,5,1,2]=>[2,1,5,6,4,8,3,7]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [4,2,7,6,5,8,3,1]=>[1,3,8,5,6,7,2,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,6,7,8,5,2,3,1]=>[1,3,2,5,8,7,6,4]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [3,8,5,4,1,7,6,2]=>[2,6,7,1,4,5,8,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [6,4,7,2,5,8,3,1]=>[1,3,8,5,2,7,4,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,3,6,4,1,2,8,7]=>[7,8,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,4,8,7,6,1,3]=>[3,1,6,7,8,4,2,5]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,8,3,5,4,2,6,7]=>[7,6,2,4,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,2,5,4,3,6,7]=>[7,6,3,4,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,2,4,5,1,8,6,7]=>[7,6,8,1,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,4,1,3,8,6,7]=>[7,6,8,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,5,3,8,2,6,7]=>[7,6,2,8,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,8,2,4,3,6,7]=>[7,6,3,4,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,2,8,4,1,6,7]=>[7,6,1,4,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,4,8,2,3,6,7]=>[7,6,3,2,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,8,2,7,3,6,5]=>[5,6,3,7,2,8,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,8,7,2,5,3,6,4]=>[4,6,3,5,2,7,8,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [7,4,6,5,3,8,2,1]=>[1,2,8,3,5,6,4,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,6,7,2,5,8,1,4]=>[4,1,8,5,2,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,5,8,3,7,2,4]=>[4,2,7,3,8,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [8,6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [7,8,4,6,3,1,5,2]=>[2,5,1,3,6,4,8,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>2 [6,1,5,8,3,4,7,2]=>[2,7,4,3,8,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,8,5,6,3,4,7,1]=>[1,7,4,3,6,5,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [1,8,7,3,6,4,5,2]=>[2,5,4,6,3,7,8,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [7,4,2,8,3,6,5,1]=>[1,5,6,3,8,2,4,7]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [2,8,1,4,7,3,6,5]=>[5,6,3,7,4,1,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,2,8,6,1,5,7,3]=>[3,7,5,1,6,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,6,2,7,4,8,5,3]=>[3,5,8,4,7,2,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,7,1,8,4,3,5,6]=>[6,5,3,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,7,1,8,3,2,4,5]=>[5,4,2,3,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,2,4,7,3,8,1,5]=>[5,1,8,3,7,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,6,3,5,8,1,4]=>[4,1,8,5,3,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,7,5,6,8,1,3,4]=>[4,3,1,8,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [1,6,5,7,4,8,2,3]=>[3,2,8,4,7,5,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,7,2,8,1,3,4,5]=>[5,4,3,1,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [1,5,7,6,8,2,3,4]=>[4,3,2,8,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,5,6,1,4,2,8,7]=>[7,8,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,7,8,2,4,6,5,1]=>[1,5,6,4,2,8,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [8,4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [2,1,5,7,8,3,6,4]=>[4,6,3,8,7,5,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,4,7,8,1,5,6,3]=>[3,6,5,1,8,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,6,2,5,7,1,8,3]=>[3,8,1,7,5,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,6,7,3,8,2,4]=>[4,2,8,3,7,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,7,5,8,6,3,1,2]=>[2,1,3,6,8,5,7,4]=>[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [4,7,1,8,3,5,6,2]=>[2,6,5,3,8,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,6,8,3,2,5,4,7]=>[7,4,5,2,3,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,1,5,4,7,3,2,8]=>[8,2,3,7,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,5,2,3,7,4,8]=>[8,4,7,3,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,2,1,3,6,4,5]=>[5,4,6,3,1,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [7,8,5,1,3,2,6,4]=>[4,6,2,3,1,5,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,1,7,5,4,3,2,8]=>[8,2,3,4,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,8,2,3,7,4]=>[4,7,3,2,8,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,8,1,5,4,7,3]=>[3,7,4,5,1,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,5,4,7,6,2,8,3]=>[3,8,2,6,7,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,3,7,6,5,1,8,4]=>[4,8,1,5,6,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,2,1,6,4,3,8]=>[8,3,4,6,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,2,4,3,1,8,6]=>[6,8,1,3,4,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,7,1,3,4,2,8,5]=>[5,8,2,4,3,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,5,8,6,7,1,2]=>[2,1,7,6,8,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,1,5,8,3,2,7,4]=>[4,7,2,3,8,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,1,2,4,8,5,7,6]=>[6,7,5,8,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,5,8,4,6,3,1,7]=>[7,1,3,6,4,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,5,8,4,1,6,7]=>[7,6,1,4,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,5,8,7,3,2,6]=>[6,2,3,7,8,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [7,1,5,4,8,3,2,6]=>[6,2,3,8,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,4,1,7,5,3,2,8]=>[8,2,3,5,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,4,6,3,1,8]=>[8,1,3,6,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,5,3,8,4,6]=>[6,4,8,3,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,6,4,8,1,5,3]=>[3,5,1,8,4,6,7,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,2,5,4,8,1,6,3]=>[3,6,1,8,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,7,2,5,3,8,6,4]=>[4,6,8,3,5,2,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,2,1,4,3,8,5,6]=>[6,5,8,3,4,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,4,2,1,3,8,6,7]=>[7,6,8,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,1,4,2,3,8,7,5]=>[5,7,8,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,1,6,5,3,2,8,4]=>[4,8,2,3,5,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,4,1,3,6,8,5,7,10,9]=>[9,10,7,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [7,2,3,8,6,1,5,4]=>[4,5,1,6,8,3,2,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [7,8,3,2,6,1,5,4]=>[4,5,1,6,2,3,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [6,3,4,8,1,5,2,7]=>[7,2,5,1,8,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,4,8,1,5,7,2]=>[2,7,5,1,8,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,3,8,4,1,2,6,7]=>[7,6,2,1,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,8,4,1,6,3,7]=>[7,3,6,1,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,6,5,2,1,8,4,3]=>[3,4,8,1,2,5,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,7,5,1,8,3,6,4]=>[4,6,3,8,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,1,8,7,4,3,6,2]=>[2,6,3,4,7,8,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [5,7,1,3,2,4,8,6]=>[6,8,4,2,3,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4,8]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [8,1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [6,5,1,3,8,7,4,2]=>[2,4,7,8,3,1,5,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [6,1,8,5,3,7,2,4]=>[4,2,7,3,5,8,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,1,3,1]=>2 [7,6,4,1,3,5,8,2]=>[2,8,5,3,1,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,6,2,7,4,3,1,8]=>[8,1,3,4,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,5,2,6,1,8]=>[8,1,6,2,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,2,5,6,1,8]=>[8,1,6,5,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,4,7,3,1,5,2]=>[2,5,1,3,7,4,8,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [3,7,8,2,6,1,5,4]=>[4,5,1,6,2,8,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [4,8,6,2,1,7,5,3]=>[3,5,7,1,2,6,8,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [4,8,6,5,1,2,7,3]=>[3,7,2,1,5,6,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,5,4,6,1,8,3,2]=>[2,3,8,1,6,4,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [7,5,4,6,1,8,2,3]=>[3,2,8,1,6,4,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,4,5,1,8,6,2,7]=>[7,2,6,8,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,5,1,7,8,6,2]=>[2,6,8,7,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,8,7,6,5,1,2,4]=>[4,2,1,5,6,7,8,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [5,7,2,6,1,8,4,3]=>[3,4,8,1,6,2,7,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,7,2,6,1,3,8,4]=>[4,8,3,1,6,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,2,6,1,4,7,3]=>[3,7,4,1,6,2,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,4,6,8,1,3,5,2]=>[2,5,3,1,8,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [3,8,7,5,6,1,4,2]=>[2,4,1,6,5,7,8,3]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [6,8,4,7,2,1,5,3]=>[3,5,1,2,7,4,8,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [8,4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>2 [3,2,5,6,1,4,8,7]=>[7,8,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,8,2,1,3,5,6,7]=>[7,6,5,3,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,1,8,7,5,6,2,3]=>[3,2,6,5,7,8,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [1,5,8,7,4,3,6,2]=>[2,6,3,4,7,8,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [6,4,1,3,8,7,5,2]=>[2,5,7,8,3,1,4,6]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [8,6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [7,4,6,1,2,3,8,5]=>[5,8,3,2,1,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,8,6,2,3,5,4]=>[4,5,3,2,6,8,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [2,1,8,3,5,7,6,4]=>[4,6,7,5,3,8,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [2,8,1,3,6,7,5,4]=>[4,5,7,6,3,1,8,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [4,1,2,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,7]=>3 [8,2,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,2,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,2,1,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,3,1,2,4,5,6,7,8,10]=>[10,8,7,6,5,4,2,1,3,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,7,5,8,3,6,2,4]=>[4,2,6,3,8,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,8,4,3,1,6,7,2]=>[2,7,6,1,3,4,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,3,7,2,5,4,8,1]=>[1,8,4,5,2,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,7,3,2,6,8,1]=>[1,8,6,2,3,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,2,6,3,4,8,1]=>[1,8,4,3,6,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,7,5,4,2,8,6,1]=>[1,6,8,2,4,5,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,7,2,3,6,8,4,1]=>[1,4,8,6,3,2,7,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,7,2,6,5,8,4,1]=>[1,4,8,5,6,2,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,4,2,7,6,8,3,1]=>[1,3,8,6,7,2,4,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,4,8,2,6,3,1,7]=>[7,1,3,6,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,3,7,2,8,6,1]=>[1,6,8,2,7,3,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [6,3,2,5,8,7,4,1]=>[1,4,7,8,5,2,3,6]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [8,4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,6,5,3,8,2,1,7]=>[7,1,2,8,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,2,8,7,6,4,1,5]=>[5,1,4,6,7,8,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [2,5,6,3,1,4,8,7]=>[7,8,4,1,3,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,7,8,5,3,1,6]=>[6,1,3,5,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,3,4,5,1,2,8,7]=>[7,8,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,3,2,4,1,8,7]=>[7,8,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,8,7,3,2,4,1]=>[1,4,2,3,7,8,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,3,3,1]=>1 [6,3,2,4,1,7,8,5]=>[5,8,7,1,4,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,1,4,7,8,5,3,6]=>[6,3,5,8,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7,8]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [4,8,7,5,3,2,6,1]=>[1,6,2,3,5,7,8,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [4,7,8,5,3,1,6,2]=>[2,6,1,3,5,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [6,1,4,3,7,8,2,5]=>[5,2,8,7,3,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,4,7,8,1,2,5]=>[5,2,1,8,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,3,6,5,8,1,2,4]=>[4,2,1,8,5,6,3,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,5,3,2,4,8,7,1]=>[1,7,8,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,7,1,2,4,6,8,5]=>[5,8,6,4,2,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,7,3,1,4,6,8,5]=>[5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,3,1,6,5,7,4]=>[4,7,5,6,1,3,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,8,5,6,7,3,1,4]=>[4,1,3,7,6,5,8,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [2,7,8,5,3,1,6,4]=>[4,6,1,3,5,8,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,1,2,4,8,5,7,3]=>[3,7,5,8,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,5,8,1,4,6,7,3]=>[3,7,6,4,1,8,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,4,5,8,7,3,6,1]=>[1,6,3,7,8,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [7,1,8,5,2,4,6,3]=>[3,6,4,2,5,8,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [6,4,7,5,2,8,3,1]=>[1,3,8,2,5,7,4,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [7,5,1,3,6,4,8,2]=>[2,8,4,6,3,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,2,6,3,1,5,8,4]=>[4,8,5,1,3,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,6,3,8,7,5,1,2]=>[2,1,5,7,8,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [2,8,4,1,5,7,6,3]=>[3,6,7,5,1,4,8,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [1,8,4,2,5,7,6,3]=>[3,6,7,5,2,4,8,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [2,5,8,3,7,1,6,4]=>[4,6,1,7,3,8,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [1,4,6,2,8,7,5,3]=>[3,5,7,8,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [2,4,6,1,8,7,5,3]=>[3,5,7,8,1,6,4,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [2,8,4,5,1,7,6,3]=>[3,6,7,1,5,4,8,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [1,3,8,2,5,7,6,4]=>[4,6,7,5,2,8,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [2,3,8,1,5,7,6,4]=>[4,6,7,5,1,8,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [1,6,2,8,7,5,3,4]=>[4,3,5,7,8,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [3,2,8,1,5,7,6,4]=>[4,6,7,5,1,8,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [7,8,2,1,4,6,5,3]=>[3,5,6,4,1,2,8,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [2,3,6,8,7,5,1,4]=>[4,1,5,7,8,6,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [3,1,6,8,7,2,5,4]=>[4,5,2,7,8,6,1,3]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [8,3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,3,8,6,2,7,1,4]=>[4,1,7,2,6,8,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,8,5,3,7,2,4,6]=>[6,4,2,7,3,5,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,1,4,5,2,3,7]=>[7,3,2,5,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,1,6,5,3,8,4,7]=>[7,4,8,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,8,1,4,2,3,7]=>[7,3,2,4,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,7,4,8,1,2,3,6]=>[6,3,2,1,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,7,5,1,8,2,3,6]=>[6,3,2,8,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,7,1,2,4,8,6]=>[6,8,4,2,1,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,7,8,1,2,6,3,5]=>[5,3,6,2,1,8,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [8,7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,1,2,7,6,8,3,4]=>[4,3,8,6,7,2,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,1,7,2,5,8,3,4]=>[4,3,8,5,2,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,7,6,5,8,2,3,4]=>[4,3,2,8,5,6,7,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,1,5,2,7,8,3,4]=>[4,3,8,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,3,8,7,2,4,5]=>[5,4,2,7,8,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [3,1,2,7,8,4,6,5]=>[5,6,4,8,7,2,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,1,4,8,2,6,3,5]=>[5,3,6,2,8,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,7,8,1,2,6,3,4]=>[4,3,6,2,1,8,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [3,7,1,2,8,4,6,5]=>[5,6,4,8,2,1,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,6,1]=>2 [7,8,6,3,1,5,2,4]=>[4,2,5,1,3,6,8,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,1,3,4,5,2,6]=>[6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [1,7,4,8,2,5,3,6]=>[6,3,5,2,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,1,8,2,4,6,3,5]=>[5,3,6,4,2,8,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,6,8,4,1,5,3,2]=>[2,3,5,1,4,8,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>2 [3,5,4,1,7,2,6,8]=>[8,6,2,7,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,7,3,2,5,1,8]=>[8,1,5,2,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,3,8,4,1,2]=>[2,1,4,8,3,5,6,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,4,5,7,8,1,3,2]=>[2,3,1,8,7,5,4,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [3,7,4,1,6,8,5,2]=>[2,5,8,6,1,4,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [6,3,2,8,4,5,1,7]=>[7,1,5,4,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,1,8,3,5,4,2,7]=>[7,2,4,5,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,4,8,3,5,2,7]=>[7,2,5,3,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,8,4,5,2,6,7,1]=>[1,7,6,2,5,4,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [5,7,8,4,6,3,2,1]=>[1,2,3,6,4,8,7,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,3,2]=>1 [7,5,2,3,4,8,6,1]=>[1,6,8,4,3,2,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,5,1,3,7,8,6,4]=>[4,6,8,7,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,6,4,2,5,1,7,8]=>[8,7,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,4,7,5,2,8]=>[8,2,5,7,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,7,3,4,1,6,8]=>[8,6,1,4,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,8,6,4,7,1]=>[1,7,4,6,8,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [3,1,5,4,7,8,6,2]=>[2,6,8,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,5,7,2,3,1,8,6]=>[6,8,1,3,2,7,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,5,8,7,4,1,3,6]=>[6,3,1,4,7,8,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,6,4,7,5,3,8,1]=>[1,8,3,5,7,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,7,1,3,2,8,6]=>[6,8,2,3,1,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [8,7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [6,1,8,4,7,3,2,5]=>[5,2,3,7,4,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [4,7,6,2,3,1,8,5]=>[5,8,1,3,2,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,6,8,2,5,3,4,1]=>[1,4,3,5,2,8,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [2,3,6,1,8,7,5,4]=>[4,5,7,8,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [2,6,8,7,5,3,1,4]=>[4,1,3,5,7,8,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [6,4,1,7,5,2,8,3]=>[3,8,2,5,7,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,8,7,4,1,5,6,3]=>[3,6,5,1,4,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [3,8,6,7,5,2,1,4]=>[4,1,2,5,7,6,8,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [4,7,3,1,8,5,6,2]=>[2,6,5,8,1,3,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [2,6,7,5,3,4,8,1]=>[1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,1,8,5,3,4,7,2]=>[2,7,4,3,5,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,5,7,2,6,8,1,3]=>[3,1,8,6,2,7,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,1,2,3,4,5,6,7,10,9]=>[9,10,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [6,9,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [1,3,8,5,2,7,4,6]=>[6,4,7,2,5,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,3,8,5,2,4,7,1]=>[1,7,4,2,5,8,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,3,8,6,5,2,4,1]=>[1,4,2,5,6,8,3,7]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [1,4,7,8,6,2,3,5]=>[5,3,2,6,8,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,4,6,8,5,2,3,1]=>[1,3,2,5,8,6,4,7]=>[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [4,6,5,8,1,3,7,2]=>[2,7,3,1,8,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,7,6,4,8,1,3,2]=>[2,3,1,8,4,6,7,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [7,5,3,6,8,2,1,4]=>[4,1,2,8,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,6,8,7,5,1,2,4]=>[4,2,1,5,7,8,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [4,2,6,8,7,1,3,5]=>[5,3,1,7,8,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [1,4,6,8,7,2,3,5]=>[5,3,2,7,8,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [4,5,3,8,1,7,2,6]=>[6,2,7,1,8,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,5,8,4,1,7,2,6]=>[6,2,7,1,4,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,2,4,8,1,7,3,6]=>[6,3,7,1,8,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,7,3,5,8,2,1,4]=>[4,1,2,8,5,3,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,6,4,8,2,3,7,1]=>[1,7,3,2,8,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,5,4,8,1,3,7,2]=>[2,7,3,1,8,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,2,7,5,8,1,3,4]=>[4,3,1,8,5,7,2,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,1,3,4,6,2,5,8]=>[8,5,2,6,4,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,5,2,4,1,8]=>[8,1,4,2,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,7,5,2,4,8,1]=>[1,8,4,2,5,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [2,6,4,8,3,1,7,5]=>[5,7,1,3,8,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,8,2,6,1,4,7,5]=>[5,7,4,1,6,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,6,4,7,5,8,3,2]=>[2,3,8,5,7,4,6,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [3,8,1,2,6,4,7,5]=>[5,7,4,6,2,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,1,3,7,4,2,8,5]=>[5,8,2,4,7,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,8,4,6,3,2,5,1]=>[1,5,2,3,6,4,8,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,4,1,2]=>1 [7,3,8,4,2,6,5,1]=>[1,5,6,2,4,8,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [1,3,8,2,5,6,7,4]=>[4,7,6,5,2,8,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,7,8,2,5,6,4,1]=>[1,4,6,5,2,8,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [8,1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1,8]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [1,8,6,7,2,5,4,3]=>[3,4,5,2,7,6,8,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>3 [7,6,8,3,5,4,2,1]=>[1,2,4,5,3,8,6,7]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,2,1,3]=>1 [1,6,7,3,8,5,4,2]=>[2,4,5,8,3,7,6,1]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [7,3,4,8,1,6,5,2]=>[2,5,6,1,8,4,3,7]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [7,8,4,6,2,1,5,3]=>[3,5,1,2,6,4,8,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>3 [8,7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7,8]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7,8]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [2,8,6,7,1,5,4,3]=>[3,4,5,1,7,6,8,2]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>3 [7,8,6,5,2,4,3,1]=>[1,3,4,2,5,6,8,7]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>1 [5,4,6,7,8,1,3,2]=>[2,3,1,8,7,6,4,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,3,6,7,8,1,4,2]=>[2,4,1,8,7,6,3,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [5,3,7,6,8,4,1,2]=>[2,1,4,8,6,7,3,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,3,7,5,4,8,2,1]=>[1,2,8,4,5,7,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,3,7,6,4,8,1,2]=>[2,1,8,4,6,7,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,5,3,2,8,6,4,1]=>[1,4,6,8,2,3,5,7]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [5,4,8,6,7,2,3,1]=>[1,3,2,7,6,8,4,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,1]=>1 [5,4,8,6,3,1,2,7]=>[7,2,1,3,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,4,3,7,5,2,8,1]=>[1,8,2,5,7,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,7,3,6,2,8,1]=>[1,8,2,6,3,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,6,3,8,2,7,1]=>[1,7,2,8,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [8,4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [5,4,8,7,2,1,3,6]=>[6,3,1,2,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,5,4,7,8,1,3,6]=>[6,3,1,8,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,4,3,6,2,8,5]=>[5,8,2,6,3,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,6,4,8,2,7,1]=>[1,7,2,8,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [8,2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [4,5,6,2,7,3,8,1]=>[1,8,3,7,2,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,6,1,5,2,8,3]=>[3,8,2,5,1,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,6,2,8,3,7,1]=>[1,7,3,8,2,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [8,4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [6,3,2,8,5,4,1,7]=>[7,1,4,5,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,1,5,2,8,6,7]=>[7,6,8,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,3,4,2,7,1,6,8]=>[8,6,1,7,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,4,3,2,6,8]=>[8,6,2,3,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,1,2,7,6,8]=>[8,6,7,2,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,3,5,2,7,8]=>[8,7,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,5,3,2,6,4,8]=>[8,4,6,2,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,4,2,1,6,8]=>[8,6,1,2,4,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,6,4,1,3,5,8]=>[8,5,3,1,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,3,2,7,4,1,6]=>[6,1,4,7,2,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [2,5,4,6,1,3,7,8]=>[8,7,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,4,1,3,7,8]=>[8,7,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,7,2,5,3,8]=>[8,3,5,2,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,5,4,6,3,8]=>[8,3,6,4,5,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,6,5,3,7,8]=>[8,7,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,6,5,4,3,8]=>[8,3,4,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,4,6,2,3,8]=>[8,3,2,6,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,3,5,6,2,4,8]=>[8,4,2,6,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [2,8,5,1,6,4,7,3]=>[3,7,4,6,1,5,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,1,4,5,3,2,7,8]=>[8,7,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,5,3,2,8,7]=>[7,8,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [2,1,8,6,3,7,5,4]=>[4,5,7,3,6,8,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [4,8,2,3,7,6,5,1]=>[1,5,6,7,3,2,8,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,1,1,1]=>1 [5,8,3,1,7,6,4,2]=>[2,4,6,7,1,3,8,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,2,2,1,1]=>2 [7,8,5,1,2,6,4,3]=>[3,4,6,2,1,5,8,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,1,2,2]=>3 [6,8,5,7,2,4,3,1]=>[1,3,4,2,7,5,8,6]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,1,3,1]=>1 [7,4,1,6,8,3,2,5]=>[5,2,3,8,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,5,1,8,4,6,2,3]=>[3,2,6,4,8,1,5,7]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,6,2,4,1,3,8,5]=>[5,8,3,1,4,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,8,5,2,6,1,4]=>[4,1,6,2,5,8,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,7,3,8,1,5,4,2]=>[2,4,5,1,8,3,7,6]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [6,3,8,4,1,5,2,7]=>[7,2,5,1,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,8,1,5,4,2,7]=>[7,2,4,5,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,8,5,7,2,6,1]=>[1,6,2,7,5,8,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [6,3,8,5,4,1,2,7]=>[7,2,1,4,5,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,8,4,5,1,2,7]=>[7,2,1,5,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,3,4,8,1,5,7]=>[7,5,1,8,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,1,8,7,4,3,2]=>[2,3,4,7,8,1,6,5]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,3,1]=>2 [5,2,3,1,4,8,6,7]=>[7,6,8,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,1,3,2,8,6,7]=>[7,6,8,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,7,4,2,8,5,6,1]=>[1,6,5,8,2,4,7,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,1,4,3,2,8,6,7]=>[7,6,8,2,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,7,1,8,3,5,4,2]=>[2,4,5,3,8,1,7,6]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [3,2,6,1,8,4,5,7]=>[7,5,4,8,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,7,3,8,5,1,6]=>[6,1,5,8,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,3,2,8,5,1,6]=>[6,1,5,8,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,3,7,4,8,5,1,6]=>[6,1,5,8,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,7,6,8,2,4,3,1]=>[1,3,4,2,8,6,7,5]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [3,4,2,7,8,5,6,1]=>[1,6,5,8,7,2,4,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,3,2,4,1,8,6,7]=>[7,6,8,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,3,4,1,8,6,7]=>[7,6,8,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,7,3,4,6,8,2]=>[2,8,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,8,7,4,3,1,6,2]=>[2,6,1,3,4,7,8,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [7,3,1,4,5,8,6,2]=>[2,6,8,5,4,1,3,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,5,2,8,1,6,7,4]=>[4,7,6,1,8,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,5,6,2,8,1,7,3]=>[3,7,1,8,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,1,8,4,2,5,3,7]=>[7,3,5,2,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,3,7,4,1,8,5]=>[5,8,1,4,7,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,2,8,6,5,1,4]=>[4,1,5,6,8,2,7,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [5,2,7,3,6,1,8,4]=>[4,8,1,6,3,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,1,8,2,3,6,5]=>[5,6,3,2,8,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,1,4,8,3,7,5,6]=>[6,5,7,3,8,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,2,8,1,7,3,4,5]=>[5,4,3,7,1,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [4,8,1,6,7,3,2,5]=>[5,2,3,7,6,1,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [1,2,7,8,4,3,6,5]=>[5,6,3,4,8,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,8,1,4,3,2,7,6]=>[6,7,2,3,4,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,1,3,2,4,5,7]=>[7,5,4,2,3,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,3,7,8,4,2,6,1]=>[1,6,2,4,8,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,3,7,8,2,4,5,1]=>[1,5,4,2,8,7,3,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [7,3,5,2,4,8,6,1]=>[1,6,8,4,2,5,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [8,6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [3,7,6,1,8,4,5,2]=>[2,5,4,8,1,6,7,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,5,6,2,8,1,3,4]=>[4,3,1,8,2,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,5,6,4,8,1,7,2]=>[2,7,1,8,4,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,4,2,6,5,8,7,3]=>[3,7,8,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,5,2,6,4,8,7,3]=>[3,7,8,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,8,2,6,3,7,5,4]=>[4,5,7,3,6,2,8,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [1,8,3,6,4,7,5,2]=>[2,5,7,4,6,3,8,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [1,7,3,6,4,8,5,2]=>[2,5,8,4,6,3,7,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,5,2,7,4,8,6,3]=>[3,6,8,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,4,2,8,5,7,6,3]=>[3,6,7,5,8,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,5,3,8,4,7,6,2]=>[2,6,7,4,8,3,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [1,6,3,8,4,7,5,2]=>[2,5,7,4,8,3,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [1,6,2,8,3,7,5,4]=>[4,5,7,3,8,2,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [1,8,4,7,3,6,5,2]=>[2,5,6,3,7,4,8,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>2 [1,7,4,8,3,6,5,2]=>[2,5,6,3,8,4,7,1]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [3,8,2,6,1,5,4,7]=>[7,4,5,1,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,7,3,5,2,1,6]=>[6,1,2,5,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [6,8,7,3,5,2,4,1]=>[1,4,2,5,3,7,8,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>1 [8,3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,3,8,7,4,6,2,1]=>[1,2,6,4,7,8,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,4,1,1]=>1 [6,8,7,3,1,5,4,2]=>[2,4,5,1,3,7,8,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>2 [6,8,5,4,1,3,7,2]=>[2,7,3,1,4,5,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,4]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>2 [3,8,7,5,1,6,2,4]=>[4,2,6,1,5,7,8,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [2,8,7,1,3,6,4,5]=>[5,4,6,3,1,7,8,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [6,8,7,3,5,2,1,4]=>[4,1,2,5,3,7,8,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [6,8,4,1,5,2,7,3]=>[3,7,2,5,1,4,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,8,7,6,5,2,1,3]=>[3,1,2,5,6,7,8,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [4,8,7,5,1,6,2,3]=>[3,2,6,1,5,7,8,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [4,5,2,1,8,6,7,3]=>[3,7,6,8,1,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,5,8,3,1,6,7,2]=>[2,7,6,1,3,8,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,7,2,8,4,6,1,3]=>[3,1,6,4,8,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [6,2,7,4,8,5,3,1]=>[1,3,5,8,4,7,2,6]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [8,6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6,8]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>3 [6,8,5,1,7,3,2,4]=>[4,2,3,7,1,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [1,6,8,3,7,4,2,5]=>[5,2,4,7,3,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [5,1,6,3,4,8,2,7]=>[7,2,8,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,3,8,7,5,2,1]=>[1,2,5,7,8,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,3,2,1]=>1 [6,3,8,7,5,4,2,1]=>[1,2,4,5,7,8,3,6]=>[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,2,1,2,1]=>1 [6,8,4,2,1,7,5,3]=>[3,5,7,1,2,4,8,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [5,2,6,4,3,8,1,7]=>[7,1,8,3,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,3,1,4,8,2,7]=>[7,2,8,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,8,1,7,6,2,5,4]=>[4,5,2,6,7,1,8,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [7,2,6,3,8,5,4,1]=>[1,4,5,8,3,6,2,7]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [2,6,7,4,3,8,5,1]=>[1,5,8,3,4,7,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,2,4,7,3,8,6,1]=>[1,6,8,3,7,4,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [1,5,8,7,2,4,6,3]=>[3,6,4,2,7,8,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [1,4,8,7,3,6,5,2]=>[2,5,6,3,7,8,4,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [8,3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3,8]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [3,7,2,8,1,5,4,6]=>[6,4,5,1,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,2,6,1,5,8,4,7]=>[7,4,8,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,2,1,5,8,4,3,6]=>[6,3,4,8,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,2,8,1,4,3,6,5]=>[5,6,3,4,1,8,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,7,4,8,3,2,6,5]=>[5,6,2,3,8,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,1,5,4,3,8,2,7]=>[7,2,8,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,5,6,7,9,8,1,10]=>[10,1,8,9,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,6,4,2,3,5,7,8]=>[8,7,5,3,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,2,3,4,7,8]=>[8,7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,5,8,6,2,3,4,7]=>[7,4,3,2,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,7,5,2,3,4,8]=>[8,4,3,2,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,7,2,3,4,8]=>[8,4,3,2,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,5,6,2,3,4,8]=>[8,4,3,2,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,5,2,3,4,8]=>[8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,7,6,4,5,8]=>[8,5,4,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,2,3,7,6,8]=>[8,6,7,3,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,5,2,3,4,7]=>[7,4,3,2,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,8,5,2,3,4,6]=>[6,4,3,2,5,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,5,3,8,6,1,7,4]=>[4,7,1,6,8,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,3,5,8,1,7,4]=>[4,7,1,8,5,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,3,2,5,8,1,7,4]=>[4,7,1,8,5,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,3,2,8,6,1,7,4]=>[4,7,1,6,8,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,3,8,6,1,4,7,2]=>[2,7,4,1,6,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,6,5,4,8,1,7,3]=>[3,7,1,8,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [8,3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3,8]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [2,4,6,8,5,3,7,1]=>[1,7,3,5,8,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,4,8,1,7,6,5,3]=>[3,5,6,7,1,8,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,2,1,1,1]=>3 [4,3,8,1,5,7,6,2]=>[2,6,7,5,1,8,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,3,6,8,5,2,7,1]=>[1,7,2,5,8,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [8,5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5,8]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>1 [3,6,8,5,4,2,7,1]=>[1,7,2,4,5,8,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,8,6,5,1,3,7,2]=>[2,7,3,1,5,6,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,6,2,4,7,1,8,3]=>[3,8,1,7,4,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,3,7,4,6,1,8,5]=>[5,8,1,6,4,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,7,4,1,3,8,5]=>[5,8,3,1,4,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,5,7,4,1,3,8,2]=>[2,8,3,1,4,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,4,6,3,5,7,8,1]=>[1,8,7,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,4,2,5,7,8,1]=>[1,8,7,5,2,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,6,1,5,7,8,4]=>[4,8,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,3,6,2,5,7,8,1]=>[1,8,7,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,6,1,2,5,7,8,3]=>[3,8,7,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,1,6,5,7,8,3]=>[3,8,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,7,5,3,1,8,2]=>[2,8,1,3,5,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,2,7,5,1,8,3]=>[3,8,1,5,7,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,5,4,2,6,3,1,8]=>[8,1,3,6,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,2,6,1,8,3]=>[3,8,1,6,2,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,5,4,6,3,1,8,2]=>[2,8,1,3,6,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,7,3,1,8,6,5,2]=>[2,5,6,8,1,3,7,4]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [4,8,6,5,3,1,7,2]=>[2,7,1,3,5,6,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,3,6,8,2,1,7,4]=>[4,7,1,2,8,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,2,7,5,3,1,8,6]=>[6,8,1,3,5,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,2,8,6,3,1,7]=>[7,1,3,6,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,3,2,8,4,1,7]=>[7,1,4,8,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,8,4,3,2,5,1,7]=>[7,1,5,2,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,3,2,6,5,1,7]=>[7,1,5,6,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,3,2,5,4,1,8,6]=>[6,8,1,4,5,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,6,3,8,7,2,1,5]=>[5,1,2,7,8,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [4,7,6,3,8,2,1,5]=>[5,1,2,8,3,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,7,3,8,6,2,1,5]=>[5,1,2,6,8,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,4,8,7,2,1,6,3]=>[3,6,1,2,7,8,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [5,7,3,2,6,1,8,4]=>[4,8,1,6,2,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,4,2,7,1,8,5,3]=>[3,5,8,1,7,2,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,7,5,3,1,8,6,4]=>[4,6,8,1,3,5,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,8,6,5,3,1,7,4]=>[4,7,1,3,5,6,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,5,2,8,4,3,1,6]=>[6,1,3,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,2,7,3,1,8,6,5]=>[5,6,8,1,3,7,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [7,3,2,4,1,8,6,5]=>[5,6,8,1,4,2,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [5,3,2,8,7,4,1,6]=>[6,1,4,7,8,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,7,5,8,2,1,6]=>[6,1,2,8,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,3,7,5,2,6,1,8]=>[8,1,6,2,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,3,2,6,1,8]=>[8,1,6,2,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,8,7,2,1,6]=>[6,1,2,7,8,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,5,4,8,7,2,1,6]=>[6,1,2,7,8,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,2,8,6,5,1,7]=>[7,1,5,6,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,5,2,8,6,1,7]=>[7,1,6,8,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,3,4,5,9,7,8,6]=>[6,8,7,9,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[6,2,1]=>6 [1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[5,3,1]=>5 [1,2,3,9,5,6,7,8,4]=>[4,8,7,6,5,9,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4,4,1]=>4 [1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[3,5,1]=>3 [1,2,8,6,4,5,7,3]=>[3,7,5,4,6,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,8,1]=>1 [6,8,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,8,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,2,2]=>1 [5,7,8,9,6,4,3,2,1]=>[1,2,3,4,6,9,8,7,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,1,2,3]=>1 [4,6,7,8,9,5,3,2,1]=>[1,2,3,5,9,8,7,6,4]=>[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,2,4]=>1 [3,5,6,7,8,9,4,2,1]=>[1,2,4,9,8,7,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,2,5]=>1 [8,7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7,8]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [5,4,8,6,2,3,1,7]=>[7,1,3,2,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,8,7,5,2,3,1,6]=>[6,1,3,2,5,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [2,5,3,7,6,8,4,1]=>[1,4,8,6,7,3,5,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [4,6,1,8,5,2,3,7]=>[7,3,2,5,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,2,8,7,5,1,6]=>[6,1,5,7,8,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [8,5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5,8]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [1,8,5,4,2,7,3,6]=>[6,3,7,2,4,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,7,1,2,8,5,4,6]=>[6,4,5,8,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,6,1,5,8,4,2]=>[2,4,8,5,1,6,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [3,6,5,8,2,7,4,1]=>[1,4,7,2,8,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [8,3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3,8]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [7,5,8,4,1,3,6,2]=>[2,6,3,1,4,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [7,1,6,2,3,8,4,5]=>[5,4,8,3,2,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,1,3,8,7,2,6,4]=>[4,6,2,7,8,3,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [8,7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7,8]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [3,8,5,2,4,7,6,1]=>[1,6,7,4,2,5,8,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [8,7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [7,2,5,4,1,3,8,6]=>[6,8,3,1,4,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,4,1,8,7,2,3,5]=>[5,3,2,7,8,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [7,3,2,5,8,4,1,6]=>[6,1,4,8,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,5,8,1,6,3,2,4]=>[4,2,3,6,1,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2,8]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [7,1,4,8,5,6,2,3]=>[3,2,6,5,8,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,6,5,8,2,7,1,4]=>[4,1,7,2,8,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,3,1,9,4,5,6,7,8]=>[8,7,6,5,4,9,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [4,9,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,9,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [3,9,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [7,10,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,10,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [6,10,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,10,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [4,10,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,10,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [3,10,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [1,8,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,4,6,1,3,2,5,8]=>[8,5,2,3,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,8,6,3,2,7]=>[7,2,3,6,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,1,2,5,6,3,4,8]=>[8,4,3,6,5,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [5,2,8,3,6,1,4,7]=>[7,4,1,6,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,1,6,5,8,3,4,7]=>[7,4,3,8,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,5,1,6,7,8,2]=>[2,8,7,6,1,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,4,3,6,7,8,2]=>[2,8,7,6,3,4,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,5,2,3,7,8,1]=>[1,8,7,3,2,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,6,1,2,3,8,4]=>[4,8,3,2,1,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,6,8,5,2,4,3]=>[3,4,2,5,8,6,7,1]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [5,7,6,8,1,2,4,3]=>[3,4,2,1,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [3,1,5,8,7,6,4,2]=>[2,4,6,7,8,5,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,2,2,1,1]=>2 [5,3,2,1,8,6,4,7]=>[7,4,6,8,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,5,1,4,2,3,8,6]=>[6,8,3,2,4,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,6,3,4,2,7,8,5]=>[5,8,7,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,8,6,4,5,7,2,1]=>[1,2,7,5,4,6,8,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,2,1,1,1]=>1 [11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,1,1]=>1 [10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,2,1,1,1,1]=>1 [1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,1,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,8,9,7,6,5,4,3,1]=>[1,3,4,5,6,7,9,8,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,1,1,2]=>1 [7,8,6,1,4,5,2,3]=>[3,2,5,4,1,6,8,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>3 [7,5,8,1,4,6,2,3]=>[3,2,6,4,1,8,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,5,1,3,6,8,2,4]=>[4,2,8,6,3,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,3,1,7,8,2,4]=>[4,2,8,7,1,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,8,4,1,7,2,3]=>[3,2,7,1,4,8,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,8,5,4,6,7,2,3]=>[3,2,7,6,4,5,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,5,3,7,2,1,8,4]=>[4,8,1,2,7,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,5,3,6,2,1,4]=>[4,1,2,6,3,5,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,5,3,6,2,4,1]=>[1,4,2,6,3,5,8,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,3,2,2]=>1 [6,4,8,3,2,7,5,1]=>[1,5,7,2,3,8,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [7,8,4,3,2,6,5,1]=>[1,5,6,2,3,4,8,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,4,1,2]=>1 [1,8,4,3,2,6,5,7]=>[7,5,6,2,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,8,4,3,2,6,1,5]=>[5,1,6,2,3,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [5,4,3,8,2,1,7,6]=>[6,7,1,2,8,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,8,4,3,2,7,6,5]=>[5,6,7,2,3,4,8,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [6,5,3,1,2,8,7,4]=>[4,7,8,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [7,6,1,3,2,8,5,4]=>[4,5,8,2,3,1,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,8,6,7,3,2,4,5]=>[5,4,2,3,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [7,8,6,1,3,2,4,5]=>[5,4,2,3,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [6,5,8,3,1,2,4,7]=>[7,4,2,1,3,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,3,8,2,6,1,7]=>[7,1,6,2,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,8,3,2,5,7,1]=>[1,7,5,2,3,8,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,4,3,8,2,6,7,1]=>[1,7,6,2,8,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,4,2,3,5,1,8,7]=>[7,8,1,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,3,6,1,4,8,7]=>[7,8,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,3,8,6,4,7,1]=>[1,7,4,6,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,2,3,7,4,8,1,6]=>[6,1,8,4,7,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [3,8,6,4,7,2,5,1]=>[1,5,2,7,4,6,8,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [2,1,8,6,4,5,7,3]=>[3,7,5,4,6,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,8,2,5,7,3,1,6]=>[6,1,3,7,5,2,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,2,3,4,7,1,6]=>[6,1,7,4,3,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,5,1,3,6,7,2]=>[2,7,6,3,1,5,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,6,8,5,2,7,3,1]=>[1,3,7,2,5,8,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [3,8,6,2,7,4,5,1]=>[1,5,4,7,2,6,8,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [8,5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [6,4,2,3,7,8,5,1]=>[1,5,8,7,3,2,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,5,8,3,7,2,1,6]=>[6,1,2,7,3,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,7,2,8,4,5,1,6]=>[6,1,5,4,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,2,1,5,6,8,3,7]=>[7,3,8,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,6,5,8,3,7]=>[7,3,8,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,8,3,2,6,7,5]=>[5,7,6,2,3,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,2,7,5,8,1,3,6]=>[6,3,1,8,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,6,2,7,8,3,1,5]=>[5,1,3,8,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,6,1,3,8,2,5,7]=>[7,5,2,8,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,6,2,1,8,7,5]=>[5,7,8,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,7,4,5,1,6,2,8]=>[8,2,6,1,5,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,5,1,6,3,8]=>[8,3,6,1,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,1,6,3,2,8]=>[8,2,3,6,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,8,6,3,2,7]=>[7,2,3,6,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,8,7,5,3,6,4,2]=>[2,4,6,3,5,7,8,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [4,1,8,5,6,7,2,3]=>[3,2,7,6,5,8,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,7,4,8,6,2,1,3]=>[3,1,2,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,3,6,8,2,7,1,5]=>[5,1,7,2,8,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,3,8,4,1,6,2,7]=>[7,2,6,1,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,4,1,6,3,2,7]=>[7,2,3,6,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,3,8,4,1,6,2,5]=>[5,2,6,1,4,8,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,8,2,5,6,7,3,4]=>[4,3,7,6,5,2,8,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,3,8,1,5,7,2,4]=>[4,2,7,5,1,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,1,8,2,9,3,4,5,6]=>[6,5,4,3,9,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]=>[6,3]=>6 [5,1,6,2,7,3,8,4,9]=>[9,4,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,1,8,2,9,3,10,4,5,6]=>[6,5,4,10,3,9,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0]=>[6,4]=>6 [5,1,6,2,7,3,8,4,10,9]=>[9,10,4,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,1,5,2,6,3,8,7,10,9]=>[9,10,7,8,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,5,8,7,4,3,6,1]=>[1,6,3,4,7,8,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [5,4,1,8,3,2,7,6]=>[6,7,2,3,8,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,1,4,3,8,7,2,6]=>[6,2,7,8,3,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,4,1,3,8,2,7,6]=>[6,7,2,8,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,8,1,2,3,6,4,7]=>[7,4,6,3,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,3,5,7,4,6,8,1]=>[1,8,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,7,4,5,8,1,2,6]=>[6,2,1,8,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,8,1,4,5,2,6]=>[6,2,5,4,1,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,8,7,1,5,3,2,6]=>[6,2,3,5,1,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,4,2,1,3,6,8,7]=>[7,8,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,7,8,5,3,6,1]=>[1,6,3,5,8,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,8,3,1,5,7,2,6]=>[6,2,7,5,1,3,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,3,5,8,2,1,7,6]=>[6,7,1,2,8,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,8,5,3,7,1,2,6]=>[6,2,1,7,3,5,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,5,7,3,1,2,6]=>[6,2,1,3,7,5,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,8,7,5,1,3,2,6]=>[6,2,3,1,5,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,4,5,7,2,8,1,6]=>[6,1,8,2,7,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,5,4,8,7,2,3,6]=>[6,3,2,7,8,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,6,3,8,2,5,4,7]=>[7,4,5,2,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,8,5,4,2,3,6,7]=>[7,6,3,2,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,3,6,8,5,4,2,7]=>[7,2,4,5,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,3,8,4,5,2,7]=>[7,2,5,4,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,8,2,6,4,5,3,7]=>[7,3,5,4,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,5,2,7,4,8,3,6]=>[6,3,8,4,7,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,6,3,8,2,7,4,5]=>[5,4,7,2,8,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,4,2,7,5,8,3,6]=>[6,3,8,5,7,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,6,8,2,7,5,4]=>[4,5,7,2,8,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [1,6,5,4,3,8,2,7]=>[7,2,8,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,8,3,4,5,6,2,7]=>[7,2,6,5,4,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,3,6,2,4,5,7]=>[7,5,4,2,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,4,5,8,3,6,2,7]=>[7,2,6,3,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,3,6,8,4,5,2,7]=>[7,2,5,4,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,7,8,4,5,3,6]=>[6,3,5,4,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,8,4,3,6,5,1]=>[1,5,6,3,4,8,2,7]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [7,2,8,5,6,3,4,1]=>[1,4,3,6,5,8,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [7,6,3,8,5,4,2,1]=>[1,2,4,5,8,3,6,7]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,2,1,3]=>1 [6,2,8,7,5,4,1,3]=>[3,1,4,5,7,8,2,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>3 [6,2,8,4,3,7,1,5]=>[5,1,7,3,4,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,2,8,4,3,1,7,6]=>[6,7,1,3,4,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,4,7,3,2,6,8,5]=>[5,8,6,2,3,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,5,7,3,6,2,8,4]=>[4,8,2,6,3,7,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,6,2,7,1,5,4,8]=>[8,4,5,1,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,4,8,3,7,6]=>[6,7,3,8,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,4,3,5,8,2,7,6]=>[6,7,2,8,5,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,4,3,6,8,7,2,5]=>[5,2,7,8,6,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,5,3,7,6,8,2,4]=>[4,2,8,6,7,3,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,4,5,7,8,2,3]=>[3,2,8,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,2,6,5,7,8,1,3]=>[3,1,8,7,5,6,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,2,5,7,6,8,1,4]=>[4,1,8,6,7,5,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,2,4,6,8,7,1,5]=>[5,1,7,8,6,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,3,2,7,4,8,5,1]=>[1,5,8,4,7,2,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,3,2,6,8,4,7,1]=>[1,7,4,8,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,1,8,7,5,2,6,3]=>[3,6,2,5,7,8,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [3,1,8,6,4,7,2,5]=>[5,2,7,4,6,8,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,3,2,8,7,6,4,1]=>[1,4,6,7,8,2,3,5]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,3,2,1,1]=>1 [2,4,8,1,7,6,3,5]=>[5,3,6,7,1,8,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,8,1,7,6,5,2,4]=>[4,2,5,6,7,1,8,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [5,8,1,6,4,2,7,3]=>[3,7,2,4,6,1,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,5,2,7,3,8,1,4]=>[4,1,8,3,7,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,4,2,6,7,3,1,8]=>[8,1,3,7,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,7,6,3,1,8]=>[8,1,3,6,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,8,3,7,2,1]=>[1,2,7,3,8,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [6,3,5,7,2,4,1,8]=>[8,1,4,2,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,8,5,1,4,3,7]=>[7,3,4,1,5,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,8,7,2,6,5,1]=>[1,5,6,2,7,8,3,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [4,3,6,8,2,5,7,1]=>[1,7,5,2,8,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,6,5,8,1,4,7,3]=>[3,7,4,1,8,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,7,5,1,8,4,6,3]=>[3,6,4,8,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,3,6,2,4,8,5,1]=>[1,5,8,4,2,6,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [7,8,5,2,1,6,4,3]=>[3,4,6,1,2,5,8,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,1,2,2]=>3 [6,7,3,2,8,1,5,4]=>[4,5,1,8,2,3,7,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,5,4,8,3,2,6,1]=>[1,6,2,3,8,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,8,4,3,1,6,2,5]=>[5,2,6,1,3,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [3,8,5,6,2,7,1,4]=>[4,1,7,2,6,5,8,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,4,5,8,7,3,1,6]=>[6,1,3,7,8,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,4,5,8,6,7,1,3]=>[3,1,7,6,8,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,3,1,5,6,2,8,7]=>[7,8,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,1,5,8,6,7,2,3]=>[3,2,7,6,8,5,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,3,7,6,1,2,8,5]=>[5,8,2,1,6,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,7,5,6,2,8,1]=>[1,8,2,6,5,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,5,1,8,6,7,3,2]=>[2,3,7,6,8,1,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>2 [3,4,5,8,7,1,2,6]=>[6,2,1,7,8,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,7,1,5,6,2,8,3]=>[3,8,2,6,5,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,6,4,7,1,3,8,5]=>[5,8,3,1,7,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,8,6,4,7,2,1]=>[1,2,7,4,6,8,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [3,8,4,6,1,7,2,5]=>[5,2,7,1,6,4,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,4,5,6,7,2,1]=>[1,2,7,6,5,4,8,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [3,8,6,5,2,7,4,1]=>[1,4,7,2,5,6,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [3,8,7,5,2,1,4,6]=>[6,4,1,2,5,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,8,6,5,1,7,2,4]=>[4,2,7,1,5,6,8,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,1,4,6,7,2,8,3]=>[3,8,2,7,6,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,4,7,1,3,8,2]=>[2,8,3,1,7,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,1,6,5,3,7,8,4]=>[4,8,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,1,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,3,1,4,5,6,7,9,8]=>[8,9,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [1,3,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,1,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [1,6,2,5,4,8,3,7]=>[7,3,8,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,1,2,7,5,8,3,6]=>[6,3,8,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,2,3,8,4,5,1]=>[1,5,4,8,3,2,7,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [6,7,1,3,8,4,5,2]=>[2,5,4,8,3,1,7,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,1,7,4,2,8,5,3]=>[3,5,8,2,4,7,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [6,7,3,2,1,8,4,5]=>[5,4,8,1,2,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,5,7,3,1,4,8,6]=>[6,8,4,1,3,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,7,3,2,8,4,5,1]=>[1,5,4,8,2,3,7,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [2,7,5,8,1,6,3,4]=>[4,3,6,1,8,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3,8]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [8,2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7,8]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [8,4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4,8]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [8,3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3,8]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>2 [8,7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7,8]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6,8]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,1,3,1]=>1 [8,4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4,8]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [8,3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4,8]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5,8]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>3 [8,5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5,8]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>2 [8,6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [8,5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5,8]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,3,2,1,1]=>1 [8,5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,4,5,8,3,1,6,7]=>[7,6,1,3,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,3,7,1,8,5,4]=>[4,5,8,1,7,3,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,4,3,8,5,1,6,7]=>[7,6,1,5,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,8,4,5,1,6,7]=>[7,6,1,5,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,2,4,5,3,1,7]=>[7,1,3,5,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [6,2,5,4,8,3,1,7]=>[7,1,3,8,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,7,6,3,1,8,2]=>[2,8,1,3,6,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,6,7,3,8,2,4]=>[4,2,8,3,7,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,5,4,8,3,2,7]=>[7,2,3,8,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,7,3,5,8,4,6,2]=>[2,6,4,8,5,3,7,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [6,3,1,7,4,5,8,2]=>[2,8,5,4,7,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,5,4,8,2,3,1,7]=>[7,1,3,2,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,5,8,3,2,4,6,1]=>[1,6,4,2,3,8,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [8,7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [8,7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7,8]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [7,1,8,3,4,6,5,2]=>[2,5,6,4,3,8,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [4,1,5,3,8,6,2,7]=>[7,2,6,8,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,6,5,1,8,3,2,7]=>[7,2,3,8,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,7,3,6,4,8,5,1]=>[1,5,8,4,6,3,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,7,1,5,8,4,6,2]=>[2,6,4,8,5,1,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [3,8,1,4,2,5,6,7]=>[7,6,5,2,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,1,8,4,3,5,6,7]=>[7,6,5,3,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,7,6,4,8,5,1]=>[1,5,8,4,6,7,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,1,6,7,4,5,8,2]=>[2,8,5,4,7,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,7,6,4,8,5,2]=>[2,5,8,4,6,7,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,2,7,5,8,4,6,3]=>[3,6,4,8,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,1,8,7,5,4,2,6]=>[6,2,4,5,7,8,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,4,1,8,6,3,2,7]=>[7,2,3,6,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,1,7,6,3,2,8]=>[8,2,3,6,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,8,5,3,2,7]=>[7,2,3,5,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,4,1,6,5,3,2,8]=>[8,2,3,5,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,7,6,1,4,3,2,8]=>[8,2,3,4,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,6,1,4,3,2,7]=>[7,2,3,4,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,7,5,1,4,3,2,8]=>[8,2,3,4,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,1,5,2,7,6,4,8]=>[8,4,6,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,7,8,5,4,2]=>[2,4,5,8,7,6,1,3]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [8,6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6,8]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [1,8,6,3,4,2,5,7]=>[7,5,2,4,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,1,6,4,5,8,7,2]=>[2,7,8,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [3,1,6,4,5,2,7,8]=>[8,7,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,4,5,8,2,7]=>[7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,1,6,4,5,7,2,8]=>[8,2,7,5,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,4,5,7,8,2]=>[2,8,7,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,8,6,3,4,2,7,5]=>[5,7,2,4,3,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,6,7,3,2,1,8,5]=>[5,8,1,2,3,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,6,8,7,2,5,1,3]=>[3,1,5,2,7,8,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [5,6,3,7,4,2,8,1]=>[1,8,2,4,7,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,3,1,7,5,8,4]=>[4,8,5,7,1,3,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,7,3,5,2,8,4]=>[4,8,2,5,3,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,1,6,3,4,5,8,2]=>[2,8,5,4,3,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,3,8,4,5,2,1]=>[1,2,5,4,8,3,6,7]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [6,2,7,8,5,4,3,1]=>[1,3,4,5,8,7,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,3]=>1 [6,8,1,7,4,5,3,2]=>[2,3,5,4,7,1,8,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>2 [4,6,7,3,5,1,8,2]=>[2,8,1,5,3,7,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,7,3,5,1,2,8]=>[8,2,1,5,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,4,7,1,6,8]=>[8,6,1,7,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,7,1,6,8,4]=>[4,8,6,1,7,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,3,4,7,8,1,6]=>[6,1,8,7,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7,8]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [3,7,4,2,5,1,6,8]=>[8,6,1,5,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,5,1,8,4,2]=>[2,4,8,1,5,3,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,6,3,5,2,1,4,8]=>[8,4,1,2,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,3,7,6,4,1,2]=>[2,1,4,6,7,3,8,5]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [6,5,1,7,2,4,8,3]=>[3,8,4,2,7,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,5,8,2,1,3,6]=>[6,3,1,2,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,6,1,5,4,3,2,8]=>[8,2,3,4,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,2,8,1,3,7]=>[7,3,1,8,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,1,7,4,6,2,8]=>[8,2,6,4,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,7,6,3,2,8,4]=>[4,8,2,3,6,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,6,2,5,1,3,8]=>[8,3,1,5,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,1,5,6,8,2]=>[2,8,6,5,1,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,7,5,1,4,6,3,8]=>[8,3,6,4,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,6,1,3,7,8]=>[8,7,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,1,4,3,8,2]=>[2,8,3,4,1,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,3,1,2,8,5,4]=>[4,5,8,2,1,3,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,3,5,7,1,4,2,8]=>[8,2,4,1,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,2,4,1,3,8]=>[8,3,1,4,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,4,8,1,3,2]=>[2,3,1,8,4,6,5,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [1,2,5,7,8,4,6,3]=>[3,6,4,8,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,1,2,7,5,4,8,6]=>[6,8,4,5,7,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,7,2,8,4,3,5,6]=>[6,5,3,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,6,4,1,8,3,2,5]=>[5,2,3,8,1,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,5,3,4,7,8,2,6]=>[6,2,8,7,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,2,1,5,7,8,3,6]=>[6,3,8,7,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,4,1,6,7,8,2,3]=>[3,2,8,7,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,1,4,6,7,8,2,3]=>[3,2,8,7,6,4,1,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,2,4,3,7,1,6,8]=>[8,6,1,7,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,1,7,5,8,4,6]=>[6,4,8,5,7,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,2,3,1,7,8,4,6]=>[6,4,8,7,1,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [1,5,6,3,7,8,2,4]=>[4,2,8,7,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,8,3,5,7,2,4,1]=>[1,4,2,7,5,3,8,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,3,1]=>1 [1,5,2,4,3,8,7,6]=>[6,7,8,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [8,6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6,8]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>3 [1,6,3,8,4,5,7,2]=>[2,7,5,4,8,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,5,4,2,6,3,8,1]=>[1,8,3,6,2,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,1,4,3,2,8,6,5]=>[5,6,8,2,3,4,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [7,8,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [9,7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [6,2,7,3,1,8,4,5]=>[5,4,8,1,3,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,7,5,8,2,4,1]=>[1,4,2,8,5,7,3,6]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [4,3,7,8,6,2,5,1]=>[1,5,2,6,8,7,3,4]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [3,8,1,7,5,2,4,6]=>[6,4,2,5,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [2,6,7,3,8,5,1,4]=>[4,1,5,8,3,7,6,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,4,8,5,1,7,3,6]=>[6,3,7,1,5,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,8,3,5,1,6,4,7]=>[7,4,6,1,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [4,5,2,6,1,7,8,3]=>[3,8,7,1,6,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,6,5,7,8,1,2,4]=>[4,2,1,8,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,5,3,8,2,1,7,6]=>[6,7,1,2,8,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,8,3,2,5,1,6,7]=>[7,6,1,5,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,5,4,8,3,7,1,6]=>[6,1,7,3,8,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,3,1,7,4,2,6]=>[6,2,4,7,1,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [5,4,8,6,1,3,2,7]=>[7,2,3,1,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,7,4,2,8,6,3,1]=>[1,3,6,8,2,4,7,5]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [6,2,7,1,4,5,8,3]=>[3,8,5,4,1,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,7,8,2,5,6,1]=>[1,6,5,2,8,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,3,8,5,1,2,4,7]=>[7,4,2,1,5,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,9,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>7 [1,4,6,2,7,5,3,8]=>[8,3,5,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [7,3,1,2,5,6,4,8]=>[8,4,6,5,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,1,5,8,6,3]=>[3,6,8,5,1,4,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,8,2,1,5,4,6,3]=>[3,6,4,5,1,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [1,8,5,3,2,6,4,7]=>[7,4,6,2,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,2,3,7,8,1,6,4]=>[4,6,1,8,7,3,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,2,8,6,3,1,7,4]=>[4,7,1,3,6,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,2,3,5,1,8,7,4]=>[4,7,8,1,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [7,6,3,4,2,8,1,5]=>[5,1,8,2,4,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,2,4,5,7,8,1,3]=>[3,1,8,7,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,2,5,3,7,1,8,4]=>[4,8,1,7,3,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,5,7,8,6,2,1,3]=>[3,1,2,6,8,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>3 [1,2,7,5,3,4,6,8]=>[8,6,4,3,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,4,5,3,8,6]=>[6,8,3,5,4,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,2,1,3,6,8,4,5]=>[5,4,8,6,3,1,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,6,5,2,7,1,8,3]=>[3,8,1,7,2,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,2,5,3,1,8,4]=>[4,8,1,3,5,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,6,4,7,5,1,8,3]=>[3,8,1,5,7,4,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,4,7,6,2,8,5,1]=>[1,5,8,2,6,7,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,5,8,6,1,4,2,7]=>[7,2,4,1,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,4,7,2,8,5,3]=>[3,5,8,2,7,4,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [1,4,7,6,3,8,5,2]=>[2,5,8,3,6,7,4,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,3,6,2,7,5,4,8]=>[8,4,5,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,6,5,4,3,7]=>[7,3,4,5,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,4,2,7,6,3,5]=>[5,3,6,7,2,4,8,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [2,6,1,7,5,4,3,8]=>[8,3,4,5,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,6,5,4,3,8]=>[8,3,4,5,6,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7,8]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>1 [7,4,2,8,1,6,3,5]=>[5,3,6,1,8,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,2,8,6,1,4,3,7]=>[7,3,4,1,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,3,8,1,6,5,4,2]=>[2,4,5,6,1,8,3,7]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [7,3,8,2,6,5,4,1]=>[1,4,5,6,2,8,3,7]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [3,5,4,1,2,8,7,6]=>[6,7,8,2,1,4,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [3,2,7,4,8,6,5,1]=>[1,5,6,8,4,7,2,3]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [5,2,1,7,3,8,6,4]=>[4,6,8,3,7,1,2,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,1,2,8,5,4,3,7]=>[7,3,4,5,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,1,3,8,6,5,4,2]=>[2,4,5,6,8,3,1,7]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,1,2]=>2 [7,2,3,8,6,5,4,1]=>[1,4,5,6,8,3,2,7]=>[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,1,2]=>1 [8,1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1,8]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1,1]=>2 [2,4,1,8,7,3,6,5]=>[5,6,3,7,8,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,8,6,1,5,4,3,7]=>[7,3,4,5,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,6,1,5,8,4,3,7]=>[7,3,4,8,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,8,6,1,5,4,2]=>[2,4,5,1,6,8,3,7]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [3,5,1,6,8,4,2,7]=>[7,2,4,8,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,1,7,8,2,6,4]=>[4,6,2,8,7,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,7,8,6,1,5,4,2]=>[2,4,5,1,6,8,7,3]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [7,8,4,6,1,5,3,2]=>[2,3,5,1,6,4,8,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,2,1,2]=>2 [5,4,6,8,3,2,1,7]=>[7,1,2,3,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,5,8,3,2,1,7]=>[7,1,2,3,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,8,7,1,5,4,2]=>[2,4,5,1,7,8,3,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>2 [5,4,7,2,1,6,3,8]=>[8,3,6,1,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,2,1,8,5,7]=>[7,5,8,1,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,7,1,5,3,2,8]=>[8,2,3,5,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,2,6,3,8,1]=>[1,8,3,6,2,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,8,3,1,5,2,6,4]=>[4,6,2,5,1,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [8,3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [6,8,7,3,1,4,2,5]=>[5,2,4,1,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [5,8,2,6,7,4,1,3]=>[3,1,4,7,6,2,8,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [6,4,8,7,2,1,3,5]=>[5,3,1,2,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [4,5,2,6,1,3,8,7]=>[7,8,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,6,8,2,7,3,4]=>[4,3,7,2,8,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,2,6,3,4,7,8,1]=>[1,8,7,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,6,2,3,5,7,8,1]=>[1,8,7,5,3,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,6,7,2,5,8,1]=>[1,8,5,2,7,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,1,4,6,8,3,5,2]=>[2,5,3,8,6,4,1,7]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,8,2,6,1,4,5,3]=>[3,5,4,1,6,2,8,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>3 [3,7,1,5,6,8,4,2]=>[2,4,8,6,5,1,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,6,3,4,7,8,5,2]=>[2,5,8,7,4,3,6,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,3,6,4,7,5,8,1]=>[1,8,5,7,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,7,3,5,6,8,1]=>[1,8,6,5,3,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,8,1,3,4,5,6,2]=>[2,6,5,4,3,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [8,7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7,8]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [1,8,2,6,7,3,4,5]=>[5,4,3,7,6,2,8,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [4,8,6,3,1,2,7,5]=>[5,7,2,1,3,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,8,7,3,1,6,2,5]=>[5,2,6,1,3,7,8,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,4,3,1,8,6,2,5]=>[5,2,6,8,1,3,4,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,1,2,8,6,3,5,4]=>[4,5,3,6,8,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [6,1,2,7,3,5,8,4]=>[4,8,5,3,7,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,2,8,3,5,7,4]=>[4,7,5,3,8,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [7,5,3,2,1,8,6,4]=>[4,6,8,1,2,3,5,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,2,1,5,3,6,7,8]=>[8,7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,4,3,2,1,9,7,5]=>[5,7,9,1,2,3,4,6,8]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[5,2,2]=>5 [7,5,4,3,2,1,8,6,9]=>[9,6,8,1,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,5,3,2,1,8,6,4,9]=>[9,4,6,8,1,2,3,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,4,3,2,1,8,5,9,6]=>[6,9,5,8,1,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [6,4,3,2,1,7,5,8,9]=>[9,8,5,7,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,5,3,1,8,6,4,2,9]=>[9,2,4,6,8,1,3,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,4,2,1,8,5,3,9,6]=>[6,9,3,5,8,1,2,4,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [6,4,2,1,7,5,3,8,9]=>[9,8,3,5,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,3,2,1,7,4,8,5,9]=>[9,5,8,4,7,1,2,3,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,3,2,1,6,4,7,8,9]=>[9,8,7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,4,1,8,5,2,9,6,3]=>[3,6,9,2,5,8,1,4,7]=>[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[3,3,3]=>3 [6,3,1,7,4,2,8,5,9]=>[9,5,8,2,4,7,1,3,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,3,1,6,4,2,7,8,9]=>[9,8,7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,2,1,7,3,8,4,9,5]=>[5,9,4,8,3,7,1,2,6]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>5 [5,2,1,6,3,7,4,8,9]=>[9,8,4,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,2,1,5,3,6,7,8,9]=>[9,8,7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,1,5,2,6,3,7,8,9]=>[9,8,7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,1,4,2,5,6,7,8,9]=>[9,8,7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,7,5,4,3,2,1,10,8,6]=>[6,8,10,1,2,3,4,5,7,9]=>[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[6,2,2]=>6 [8,6,5,4,3,2,1,9,7,10]=>[10,7,9,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,6,4,3,2,1,9,7,5,10]=>[10,5,7,9,1,2,3,4,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,5,4,3,2,1,9,6,10,7]=>[7,10,6,9,1,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,3]=>7 [7,5,4,3,2,1,8,6,9,10]=>[10,9,6,8,1,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,6,4,2,1,9,7,5,3,10]=>[10,3,5,7,9,1,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,5,3,2,1,9,6,4,10,7]=>[7,10,4,6,9,1,2,3,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,3]=>7 [7,5,3,2,1,8,6,4,9,10]=>[10,9,4,6,8,1,2,3,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,4,3,2,1,8,5,9,6,10]=>[10,6,9,5,8,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,4,3,2,1,7,5,8,9,10]=>[10,9,8,5,7,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,5,3,1,9,6,4,2,10,7]=>[7,10,2,4,6,9,1,3,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,3]=>7 [7,5,3,1,8,6,4,2,9,10]=>[10,9,2,4,6,8,1,3,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,4,2,1,8,5,3,9,6,10]=>[10,6,9,3,5,8,1,2,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,4,2,1,7,5,3,8,9,10]=>[10,9,8,3,5,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,3,2,1,8,4,9,5,10,6]=>[6,10,5,9,4,8,1,2,3,7]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,4]=>6 [6,3,2,1,7,4,8,5,9,10]=>[10,9,5,8,4,7,1,2,3,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,3,2,1,6,4,7,8,9,10]=>[10,9,8,7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,4,1,8,5,2,9,6,3,10]=>[10,3,6,9,2,5,8,1,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,3,1,8,4,2,9,5,10,6]=>[6,10,5,9,2,4,8,1,3,7]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,4]=>6 [6,3,1,7,4,2,8,5,9,10]=>[10,9,5,8,2,4,7,1,3,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,3,1,6,4,2,7,8,9,10]=>[10,9,8,7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,2,1,7,3,8,4,9,5,10]=>[10,5,9,4,8,3,7,1,2,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,2,1,6,3,7,4,8,9,10]=>[10,9,8,4,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,2,1,5,3,6,7,8,9,10]=>[10,9,8,7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,1,6,2,7,3,8,4,9,10]=>[10,9,4,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,1,5,2,6,3,7,8,9,10]=>[10,9,8,7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,1,4,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,2,5,4,1,8,7,3]=>[3,7,8,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [6,5,3,2,1,8,7,4]=>[4,7,8,1,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,2,7,4,8,6,1,5]=>[5,1,6,8,4,7,2,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [6,8,3,7,5,2,1,4]=>[4,1,2,5,7,3,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [5,7,8,4,3,2,1,6]=>[6,1,2,3,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,4,3,8,5,2,1,7]=>[7,1,2,5,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [3,2,8,6,5,4,1,7]=>[7,1,4,5,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,7,4,3,2,1,5]=>[5,1,2,3,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [3,6,1,4,8,7,2,5]=>[5,2,7,8,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,8,1,3,7,2,6,4]=>[4,6,2,7,3,1,8,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,7,5,1,8,2,6,3]=>[3,6,2,8,1,5,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [6,3,2,1,8,7,4,5]=>[5,4,7,8,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,2,3,1,8,7,4,5]=>[5,4,7,8,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,4,8,1,7,5,6,2]=>[2,6,5,7,1,8,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [5,6,7,1,3,8,4,2]=>[2,4,8,3,1,7,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,2,1,5,8,4,6,3]=>[3,6,4,8,5,1,2,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,1,4,6,8,2,5,3]=>[3,5,2,8,6,4,1,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [8,2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [8,4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>2 [8,3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [5,3,8,6,1,7,4,2]=>[2,4,7,1,6,8,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [7,3,1,5,2,8,6,4]=>[4,6,8,2,5,1,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,1,6,4,2,8,5,3]=>[3,5,8,2,4,6,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [3,7,4,1,5,8,6,2]=>[2,6,8,5,1,4,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [5,8,6,1,2,7,4,3]=>[3,4,7,2,1,6,8,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [2,7,1,4,5,8,6,3]=>[3,6,8,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [6,8,1,2,4,7,5,3]=>[3,5,7,4,2,1,8,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [8,6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [8,6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [8,5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>2 [8,6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [7,1,5,3,6,8,4,2]=>[2,4,8,6,3,5,1,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [8,6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>2 [8,5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [8,4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>2 [8,7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7,8]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [8,5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [3,6,1,4,5,8,7,2]=>[2,7,8,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [2,8,3,5,7,4,1,6]=>[6,1,4,7,5,3,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [2,8,4,1,3,6,7,5]=>[5,7,6,3,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,7,4,5,8,6,1,3]=>[3,1,6,8,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,6,7,8,5,2,4,3]=>[3,4,2,5,8,7,6,1]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [6,1,5,2,3,8,7,4]=>[4,7,8,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [8,7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [1,8,3,6,7,2,4,5]=>[5,4,2,7,6,3,8,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [1,9,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2,8]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>1 [8,7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [3,7,1,8,2,5,4,6]=>[6,4,5,2,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,5,8,6,2,7,3,1]=>[1,3,7,2,6,8,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [4,6,7,2,1,8,5,3]=>[3,5,8,1,2,7,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [4,2,5,6,7,8,3,1]=>[1,3,8,7,6,5,2,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [3,7,8,4,5,1,6,2]=>[2,6,1,5,4,8,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [4,6,8,3,2,7,1,5]=>[5,1,7,2,3,8,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,8,1,7,4,5,2,6]=>[6,2,5,4,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,5,8,3,7,1,2,6]=>[6,2,1,7,3,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,7,8,4,6,2,5,1]=>[1,5,2,6,4,8,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [3,8,6,2,5,1,7,4]=>[4,7,1,5,2,6,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,6,8,5,2,7,1,3]=>[3,1,7,2,5,8,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,7,8,5,4,1,6,2]=>[2,6,1,4,5,8,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [7,8,2,3,5,4,1,6]=>[6,1,4,5,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [6,3,2,4,7,8,1,5]=>[5,1,8,7,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,8,1,5,7,4,6,3]=>[3,6,4,7,5,1,8,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,1,3,2,6,7,4,8]=>[8,4,7,6,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,2,4,8,3,1,5]=>[5,1,3,8,4,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,3,4,5,2,8,1,7]=>[7,1,8,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,6,8,3,7,1,2]=>[2,1,7,3,8,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,1,3,5,2,6,7,8]=>[8,7,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,7,4,6,3,8,2]=>[2,8,3,6,4,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,8,5,7,1,2,6]=>[6,2,1,7,5,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,6,5,3,7,2,8,4]=>[4,8,2,7,3,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,3,7,8,4,1,6]=>[6,1,4,8,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,1,3,7,6,4,8,2]=>[2,8,4,6,7,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,5,2,7,8,1,3]=>[3,1,8,7,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,6,5,1,7,3,2,8]=>[8,2,3,7,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,2,3,4,8,7]=>[7,8,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,6,5,3,4,2,8,7]=>[7,8,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,1,7,3,8,2]=>[2,8,3,7,1,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,3,1,2,4,8,6]=>[6,8,4,2,1,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,3,2,5,1,7,4,8]=>[8,4,7,1,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,4,8,5,3,7]=>[7,3,5,8,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,7,1,4,8,5,2,3]=>[3,2,5,8,4,1,7,6]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,8,3,2,1,4,6,7]=>[7,6,4,1,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,1,3,7,4,8,6,2]=>[2,6,8,4,7,3,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [6,3,1,7,2,5,8,4]=>[4,8,5,2,7,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,3,7,1,5,6,8]=>[8,6,5,1,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,8,5,1,2,7,6]=>[6,7,2,1,5,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,1,6,7,2,5,4]=>[4,5,2,7,6,1,8,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [4,5,7,6,3,8,1,2]=>[2,1,8,3,6,7,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,7,2,8,5,1,4,6]=>[6,4,1,5,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,6,5,3,7,8,2,4]=>[4,2,8,7,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,6,5,2,4,7,1,8]=>[8,1,7,4,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,1,4,3,7,8]=>[8,7,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,8,1,7,2,4]=>[4,2,7,1,8,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,6,5,3,7,8,4,2]=>[2,4,8,7,3,5,6,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [2,6,5,8,4,1,7,3]=>[3,7,1,4,8,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,2,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,5,3,8,4,6,1,7]=>[7,1,6,4,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,7,3,4,6,1,8]=>[8,1,6,4,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,8,6,4,7,2]=>[2,7,4,6,8,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,7,4,1,3,6,8,2]=>[2,8,6,3,1,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,8,1,4,6,5,3,2]=>[2,3,5,6,4,1,8,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,2,1,2]=>2 [7,8,6,1,4,5,3,2]=>[2,3,5,4,1,6,8,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,2,1,2]=>2 [5,1,7,6,3,4,2,8]=>[8,2,4,3,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,4,8,1,5,2]=>[2,5,1,8,4,3,7,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,2,8,3,6,4,5,1]=>[1,5,4,6,3,8,2,7]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [2,7,3,5,1,8,4,6]=>[6,4,8,1,5,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,7,8,1,2,5,6,4]=>[4,6,5,2,1,8,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7,8]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>1 [8,2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [3,8,1,5,7,2,6,4]=>[4,6,2,7,5,1,8,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [8,5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [7,5,4,8,6,1,2,3]=>[3,2,1,6,8,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>3 [1,5,7,8,3,4,2,6]=>[6,2,4,3,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,6,8,1,4,5,3,7]=>[7,3,5,4,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,4,3,1,7,2,5]=>[5,2,7,1,3,4,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [4,8,1,3,7,5,6,2]=>[2,6,5,7,3,1,8,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [7,5,4,3,1,2,8,6]=>[6,8,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,2,5,4,8,1,7,3]=>[3,7,1,8,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,8,5,7,4,2,3,6]=>[6,3,2,4,7,5,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,1,6,8,5,3,4,7]=>[7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,1,3,8,6,7,2]=>[2,7,6,8,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,5,1,3,8,6,7,2]=>[2,7,6,8,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,2,6,8,5,3,4,7]=>[7,4,3,5,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,8,3,7,1,2,4]=>[4,2,1,7,3,8,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [5,6,8,7,3,1,2,4]=>[4,2,1,3,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [6,7,5,3,8,1,2,4]=>[4,2,1,8,3,5,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,6,3,4,7,1,8,5]=>[5,8,1,7,4,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,3,4,7,1,8,5]=>[5,8,1,7,4,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,1,2,6,8,7,3]=>[3,7,8,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [8,5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5,8]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,2,1,1]=>4 [6,8,5,7,3,1,2,4]=>[4,2,1,3,7,5,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>4 [5,7,8,6,3,1,2,4]=>[4,2,1,3,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [5,1,4,2,6,8,7,3]=>[3,7,8,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [6,3,2,4,7,1,8,5]=>[5,8,1,7,4,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,5,6,8,4,2,3,7]=>[7,3,2,4,8,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,7,8,3,6,1,2,4]=>[4,2,1,6,3,8,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>3 [4,8,1,2,5,7,6,3]=>[3,6,7,5,2,1,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [1,5,8,6,2,4,3,7]=>[7,3,4,2,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,3,7,2,6,8,4]=>[4,8,6,2,7,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,8,6,2,4,3,7]=>[7,3,4,2,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [5,8,6,3,7,1,2,4]=>[4,2,1,7,3,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [1,5,2,4,8,6,7,3]=>[3,7,6,8,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,5,4,2,6,8,7,3]=>[3,7,8,6,2,4,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,7,6,3,8,1,2,4]=>[4,2,1,8,3,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,7,6,8,3,1,2,4]=>[4,2,1,3,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,8,7,5,3,1,2,4]=>[4,2,1,3,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [6,5,7,3,8,1,2,4]=>[4,2,1,8,3,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,5,6,3,7,1,8,4]=>[4,8,1,7,3,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,5,3,6,8,7,4]=>[4,7,8,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [7,3,6,1,4,8,2,5]=>[5,2,8,4,1,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,8,1,6,5,3,4,2]=>[2,4,3,5,6,1,8,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>2 [6,7,5,1,8,4,2,3]=>[3,2,4,8,1,5,7,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [3,5,6,8,4,2,7,1]=>[1,7,2,4,8,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,5,4,1,6,8,7,3]=>[3,7,8,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,3,6,2,8,5,7,1]=>[1,7,5,8,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,8,1,5,3,2,7,4]=>[4,7,2,3,5,1,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,7,2,3,5,8,6,4]=>[4,6,8,5,3,2,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,6,2,3,5,1,7,8]=>[8,7,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,8,7,5,3,6,1]=>[1,6,3,5,7,8,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [6,4,8,7,2,1,5,3]=>[3,5,1,2,7,8,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [2,8,4,3,6,7,1,5]=>[5,1,7,6,3,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,4,7,2,8,3,5,1]=>[1,5,3,8,2,7,4,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,8,1,6,4,7,2,5]=>[5,2,7,4,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,4,2,5,1,7,6]=>[6,7,1,5,2,4,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,5,6,3,7,4,8,2]=>[2,8,4,7,3,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,8,3,5,6,4,1,7]=>[7,1,4,6,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,1,5,7,6,8,2,3]=>[3,2,8,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,6,8,3,2,5,1,4]=>[4,1,5,2,3,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [2,8,7,1,3,6,5,4]=>[4,5,6,3,1,7,8,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [5,7,2,8,3,1,6,4]=>[4,6,1,3,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,7,8,1,6,4,5,3]=>[3,5,4,6,1,8,7,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,8,1,3,4,6,5,2]=>[2,5,6,4,3,1,8,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [2,7,1,4,5,3,8,6]=>[6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,2,7,4,3,6,8]=>[8,6,3,4,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,8,4,6,2,7]=>[7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,8,7,1,3,2,4]=>[4,2,3,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [2,7,3,5,1,6,8,4]=>[4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,7,6,8,2,1,4,3]=>[3,4,1,2,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [1,3,6,5,2,7,4,8]=>[8,4,7,2,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,5,3,4,7,8]=>[8,7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,5,6,8,3,4]=>[4,3,8,6,5,2,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,7,2,4,8,3,5,6]=>[6,5,3,8,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,6,2,4,5,3,7,8]=>[8,7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,2,5,3,4,8]=>[8,4,3,5,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,8,3,6,7,4,5]=>[5,4,7,6,3,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,7,2,5,3,4,8,6]=>[6,8,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [10,9,8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8,9,10]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>3 [2,10,3,9,4,8,5,7,6,1]=>[1,6,7,5,8,4,9,3,10,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,5,1,1,1,1]=>1 [8,2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,7,5,6,2,3,8,4]=>[4,8,3,2,6,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,6,1,2,4,8,5]=>[5,8,4,2,1,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,4,3,8,2,5,6]=>[6,5,2,8,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,1,5,3,4,8,2,7]=>[7,2,8,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,8,4,1,5,6,2,3]=>[3,2,6,5,1,4,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [5,8,1,3,6,7,2,4]=>[4,2,7,6,3,1,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,4,6,7,1,2,5]=>[5,2,1,7,6,4,8,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [6,3,8,4,7,1,2,5]=>[5,2,1,7,4,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [1,2,5,4,8,3,6,7]=>[7,6,3,8,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,1,3,8,2,4,5,6]=>[6,5,4,2,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [3,5,4,7,8,1,2,6]=>[6,2,1,8,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [1,3,7,8,5,6,2,4]=>[4,2,6,5,8,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [2,5,8,4,7,1,3,6]=>[6,3,1,7,4,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,8,7,1,2,3,6]=>[6,3,2,1,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,1,8,5,7,2,3,6]=>[6,3,2,7,5,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,8,7,4,6,2,3,5]=>[5,3,2,6,4,7,8,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [2,6,5,4,1,8,3,7]=>[7,3,8,1,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,2,5,1,4,8,3,7]=>[7,3,8,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,4,1,3,8,2,7]=>[7,2,8,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,5,4,2,8,1,7]=>[7,1,8,2,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,8,7,4,2,6,5]=>[5,6,2,4,7,8,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [8,2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1,8]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,3,1,1]=>2 [2,4,1,8,5,7,6,3]=>[3,6,7,5,8,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [8,5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,8,3,7,4,1,6,5]=>[5,6,1,4,7,3,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [8,4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4,8]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>1 [2,3,1,8,7,6,4,5]=>[5,4,6,7,8,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,2,8,7,3,1,5,6]=>[6,5,1,3,7,8,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,3,4,8,7,2,5,6]=>[6,5,2,7,8,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,8,2,6,7,1,5]=>[5,1,7,6,2,8,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,8,5,4,1,7,2,3]=>[3,2,7,1,4,5,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,1,8,2,7,5,6,4]=>[4,6,5,7,2,8,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [8,4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [1,8,4,7,6,5,2,3]=>[3,2,5,6,7,4,8,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [3,5,8,1,7,4,6,2]=>[2,6,4,7,1,8,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [2,3,4,7,6,8,1,5]=>[5,1,8,6,7,4,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,6,2,5,7,4,8]=>[8,4,7,5,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,2,8,6,4,5]=>[5,4,6,8,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,8,1,2,5,6,4,7]=>[7,4,6,5,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,7,1,2,5,6,4,8]=>[8,4,6,5,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,1,6,5,2,7,3]=>[3,7,2,5,6,1,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,1,2,4,6,5,8,3]=>[3,8,5,6,4,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,2,6,7,1,8,3]=>[3,8,1,7,6,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,1,2,6,8,4,3]=>[3,4,8,6,2,1,7,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [4,2,8,3,5,6,7,1]=>[1,7,6,5,3,8,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [8,7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [2,7,4,3,8,6,1,5]=>[5,1,6,8,3,4,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,7,4,1,6,3,5,8]=>[8,5,3,6,1,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,8,6,1,4,3]=>[3,4,1,6,8,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [5,2,4,6,8,1,7,3]=>[3,7,1,8,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,3,8,4,6,1,7,5]=>[5,7,1,6,4,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,1,8,6,5,2,7,4]=>[4,7,2,5,6,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,8,2,4,1,5,7,6]=>[6,7,5,1,4,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,3,2,4,1,7,6]=>[6,7,1,4,2,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,2,8,3,4,5,7,1]=>[1,7,5,4,3,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,2,6,8,4,3,5,1]=>[1,5,3,4,8,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [6,5,3,2,4,8,1,7]=>[7,1,8,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,2,1,4,5,7,8]=>[8,7,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,4,6,8,1,5]=>[5,1,8,6,4,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,8,3,4,7,5,2,1]=>[1,2,5,7,4,3,8,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,3,2,1]=>1 [4,8,1,5,7,6,3,2]=>[2,3,6,7,5,1,8,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,3,1,1]=>2 [3,7,4,6,8,2,5,1]=>[1,5,2,8,6,4,7,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [4,5,2,8,1,7,3,6]=>[6,3,7,1,8,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,4,8,6,1,2,7,3]=>[3,7,2,1,6,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [8,1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,2,4,5,6,8,1,3]=>[3,1,8,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,1,3,5,6,2,8,4]=>[4,8,2,6,5,3,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,1,4,3,2,8,5,6]=>[6,5,8,2,3,4,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,7,2,1,4,3,8,6]=>[6,8,3,4,1,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,8,3,5,2,4,6]=>[6,4,2,5,3,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,2,4,8,1,5,6,3]=>[3,6,5,1,8,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,1,8,4,2,5,6,3]=>[3,6,5,2,4,8,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [6,4,2,5,8,1,7,3]=>[3,7,1,8,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,1,7,5,8,3,6,4]=>[4,6,3,8,5,7,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,3,8,5,6,2,1,4]=>[4,1,2,6,5,8,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [2,7,4,8,1,5,6,3]=>[3,6,5,1,8,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,4,8,3,1,5,6,2]=>[2,6,5,1,3,8,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [6,1,5,8,3,7,4,2]=>[2,4,7,3,8,5,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [8,6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [4,8,5,3,7,2,1,6]=>[6,1,2,7,3,5,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [7,4,8,6,5,3,2,1]=>[1,2,3,5,6,8,4,7]=>[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,2,1,2]=>1 [7,4,8,5,6,3,1,2]=>[2,1,3,6,5,8,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [7,8,4,1,3,5,6,2]=>[2,6,5,3,1,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,8,3,4,1,5,6,2]=>[2,6,5,1,4,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [6,4,8,7,3,2,1,5]=>[5,1,2,3,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [6,4,8,2,3,1,7,5]=>[5,7,1,3,2,8,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,6,5,1,4,8,7,2]=>[2,7,8,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [7,6,1,3,8,4,5,2]=>[2,5,4,8,3,1,6,7]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,7,1,5,8,3,4,2]=>[2,4,3,8,5,1,7,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,7,4,1,8,3,5,2]=>[2,5,3,8,1,4,7,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,3,6,2,8,1,4,5]=>[5,4,1,8,2,6,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,6,7,3,8,4,5,2]=>[2,5,4,8,3,7,6,1]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,3,6,2,8,4,1,5]=>[5,1,4,8,2,6,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,5,1,8,6,4,2,3]=>[3,2,4,6,8,1,5,7]=>[1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [6,5,1,8,4,7,2,3]=>[3,2,7,4,8,1,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,5,1,8,4,2,7,3]=>[3,7,2,4,8,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,4,8,5,7,1,6,2]=>[2,6,1,7,5,8,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,3,5,8,7,1,2,6]=>[6,2,1,7,8,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,8,6,7,5,1,2]=>[2,1,5,7,6,8,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [1,4,5,8,6,3,7,2]=>[2,7,3,6,8,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,4,8,1,7,6,5,2]=>[2,5,6,7,1,8,4,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,1,1,1]=>2 [3,4,8,5,1,7,6,2]=>[2,6,7,1,5,8,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [3,5,4,8,2,7,1,6]=>[6,1,7,2,8,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,5,8,2,6,1,7]=>[7,1,6,2,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,8,1,6,5,7,2]=>[2,7,5,6,1,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,2,7,5,4,1,3,8]=>[8,3,1,4,5,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,8,5,4,6,3,1]=>[1,3,6,4,5,8,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [6,1,8,4,7,2,3,5]=>[5,3,2,7,4,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [6,5,3,7,2,4,8,1]=>[1,8,4,2,7,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,3,8,1,7,4,2]=>[2,4,7,1,8,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [5,4,2,3,8,6,7,1]=>[1,7,6,8,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,7,6,8,4,3,1,2]=>[2,1,3,4,8,6,7,5]=>[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [6,2,8,7,5,3,4,1]=>[1,4,3,5,7,8,2,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>1 [5,6,2,8,7,3,1,4]=>[4,1,3,7,8,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [6,1,8,3,2,5,7,4]=>[4,7,5,2,3,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,1,3,6,2,7,4,8]=>[8,4,7,2,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,6,2,5,8,3,4]=>[4,3,8,5,2,6,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,1,7,4,8,2,5,3]=>[3,5,2,8,4,7,1,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,1,3,6,5,8,4,2]=>[2,4,8,5,6,3,1,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,1,7,4,6,8,2,3]=>[3,2,8,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,7,4,3,6,8,2,1]=>[1,2,8,6,3,4,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,4,2,3,6,8,7,1]=>[1,7,8,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,5,3,6,2,8,4,1]=>[1,4,8,2,6,3,5,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,1,2,4,6,7,8,3]=>[3,8,7,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,3,5,2,8,7,1]=>[1,7,8,2,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,3,6,4,1,7,8,2]=>[2,8,7,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,8,4,6,3,2,7,1]=>[1,7,2,3,6,4,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [5,7,8,2,4,3,6,1]=>[1,6,3,4,2,8,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [6,4,7,8,2,3,5,1]=>[1,5,3,2,8,7,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [4,7,5,2,3,8,6,1]=>[1,6,8,3,2,5,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [6,4,7,3,2,5,8,1]=>[1,8,5,2,3,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,7,2,8,4,6,1]=>[1,6,4,8,2,7,3,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [4,3,7,2,5,8,6,1]=>[1,6,8,5,2,7,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,7,3,2,5,8,6,1]=>[1,6,8,5,2,3,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,7,3,2,6,8,5,1]=>[1,5,8,6,2,3,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5,8]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,3,3,1]=>1 [8,4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [7,5,6,2,8,3,4,1]=>[1,4,3,8,2,6,5,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [5,7,6,2,8,3,4,1]=>[1,4,3,8,2,6,7,5]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [4,7,6,2,3,8,5,1]=>[1,5,8,3,2,6,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,6,3,2,5,8,1,4]=>[4,1,8,5,2,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,6,4,2,5,8,3,1]=>[1,3,8,5,2,4,6,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,3,8,5,4,7,2,1]=>[1,2,7,4,5,8,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [7,8,2,5,1,3,6,4]=>[4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [8,7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [1,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,4,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,5,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,9,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,9,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1,1]=>5 [1,3,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,4,2,5,3,6,7,8,9,10]=>[10,9,8,7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,6,2,7,3,8,4,9,5,10]=>[10,5,9,4,8,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,6,2,3,4,7,5,8,9,10]=>[10,9,8,5,7,4,3,2,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,7,2,8,3,4,5,9,6,10]=>[10,6,9,5,4,3,8,2,7,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,10,2,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,2,10,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[6,1,1,1,1]=>6 [2,4,6,3,8,7,5,1]=>[1,5,7,8,3,6,4,2]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [2,4,6,1,8,7,3,5]=>[5,3,7,8,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,3,6,8,7,1,5]=>[5,1,7,8,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,6,3,8,7,1,5]=>[5,1,7,8,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,4,6,5,8,7,1,3]=>[3,1,7,8,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,4,6,8,5,7,3,1]=>[1,3,7,5,8,6,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [2,4,6,8,5,7,1,3]=>[3,1,7,5,8,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,4,6,8,3,7,1,5]=>[5,1,7,3,8,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,6,8,1,7,3,5]=>[5,3,7,1,8,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,6,5,1,8,7,3]=>[3,7,8,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,4,6,5,8,3,7,1]=>[1,7,3,8,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,4,6,5,8,1,7,3]=>[3,7,1,8,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,4,6,8,5,1,7,3]=>[3,7,1,5,8,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,4,6,8,7,3,5,1]=>[1,5,3,7,8,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [2,4,6,8,7,1,5,3]=>[3,5,1,7,8,6,4,2]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [2,4,6,8,7,1,3,5]=>[5,3,1,7,8,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,6,8,5,1,3,7]=>[7,3,1,5,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,6,5,1,8,3,7]=>[7,3,8,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,5,1,3,8,7]=>[7,8,3,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,5,3,8,1,7]=>[7,1,8,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,6,5,8,3,1,7]=>[7,1,3,8,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,6,8,5,3,1,7]=>[7,1,3,5,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,6,8,7,3,1,5]=>[5,1,3,7,8,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,6,8,7,5,1,3]=>[3,1,5,7,8,6,4,2]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [6,1,3,2,7,8,5,4]=>[4,5,8,7,2,3,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [5,6,3,1,7,4,8,2]=>[2,8,4,7,1,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7,8]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [5,8,3,2,1,7,6,4]=>[4,6,7,1,2,3,8,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [5,4,3,8,1,7,6,2]=>[2,6,7,1,8,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [6,5,3,8,7,1,4,2]=>[2,4,1,7,8,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,3,8,2,7,6,5,1]=>[1,5,6,7,2,8,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,4,1,1,1]=>1 [4,8,2,7,6,5,3,1]=>[1,3,5,6,7,2,8,4]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,2,1,1,1]=>1 [7,8,2,6,5,4,1,3]=>[3,1,4,5,6,2,8,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>3 [3,8,7,6,2,5,1,4]=>[4,1,5,2,6,7,8,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [4,8,3,7,2,1,6,5]=>[5,6,1,2,7,3,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [8,6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6,8]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[2,2,1,2,1]=>2 [5,8,2,7,6,4,1,3]=>[3,1,4,6,7,2,8,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>3 [8,4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4,8]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,2,1,1,1]=>3 [1,6,4,2,5,3,7,8]=>[8,7,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,2,4,5,7,8]=>[8,7,5,4,2,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,4,6,3,7,8]=>[8,7,3,6,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,2,3,7,4,5]=>[5,4,7,3,2,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,5,2,8,6,3,4,7]=>[7,4,3,6,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,3,8,2,5,6,7]=>[7,6,5,2,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,7,2,3,8,5,4,6]=>[6,4,5,8,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,6,2,8,5,4,3,7]=>[7,3,4,5,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,6,5,2,8,3,7]=>[7,3,8,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,8,2,5,6,3,7]=>[7,3,6,5,2,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,7,3,6,8,4,5]=>[5,4,8,6,3,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,2,3,4,5,6,7,9,1]=>[1,9,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [9,2,3,4,5,6,7,8,10,1]=>[1,10,8,7,6,5,4,3,2,9]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [6,2,3,5,8,1,7,4]=>[4,7,1,8,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,5,6,3,4,7,1,8]=>[8,1,7,4,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,7,5,6,8,4,2]=>[2,4,8,6,5,7,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,3,6,7,4,5,8,2]=>[2,8,5,4,7,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,6,3,4,2,7,8]=>[8,7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,6,4,2,7,8]=>[8,7,2,4,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,5,6,8,3,4,2]=>[2,4,3,8,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,7,5,6,3,8,4,2]=>[2,4,8,3,6,5,7,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,3,7,2,5,8,6,4]=>[4,6,8,5,2,7,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,5,3,7,4,6,2,8]=>[8,2,6,4,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,6,3,7,4,2,8]=>[8,2,4,7,3,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,7,6,3,4,8,2]=>[2,8,4,3,6,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,7,3,6,4,8,2]=>[2,8,4,6,3,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,8,3,1,7,2,5]=>[5,2,7,1,3,8,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,5,7,4,1,3,8,6]=>[6,8,3,1,4,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,7,3,1,8,5,2,4]=>[4,2,5,8,1,3,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,7,3,6,1,8,2,5]=>[5,2,8,1,6,3,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,4,7,2,1,8,5]=>[5,8,1,2,7,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,6,8,7,2,1,4]=>[4,1,2,7,8,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [2,3,6,4,1,8,7,5]=>[5,7,8,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [6,2,4,8,3,1,7,5]=>[5,7,1,3,8,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,7,3,5,2,1,8,6]=>[6,8,1,2,5,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,5,2,1,8,6,3]=>[3,6,8,1,2,5,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,7,5,2,1,8,6,3]=>[3,6,8,1,2,5,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [5,7,4,6,3,2,1,8]=>[8,1,2,3,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,8,4,1,7,6]=>[6,7,1,4,8,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,6,3,2,8,5,1,7]=>[7,1,5,8,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,3,1,2,4,8,7,5]=>[5,7,8,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,7,5,2,3,6,1,8]=>[8,1,6,3,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,8,4,5,1,2,7]=>[7,2,1,5,4,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,3,7,6,4,1,8]=>[8,1,4,6,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,3,5,4,1,8]=>[8,1,4,5,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,6,5,3,4,1,8]=>[8,1,4,3,5,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,8,4,5,1,3,7]=>[7,3,1,5,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,3,1,7,8,5,6,4]=>[4,6,5,8,7,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,2,8,5,1,4,3,6]=>[6,3,4,1,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [6,8,7,1,4,3,2,5]=>[5,2,3,4,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [6,8,2,5,3,1,4,7]=>[7,4,1,3,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,7,8,5,1,4,2,6]=>[6,2,4,1,5,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,8,7,3,1,2,5,6]=>[6,5,2,1,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,8,6,2,3,1,5,7]=>[7,5,1,3,2,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,5,4,2,1,6,7]=>[7,6,1,2,4,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,3,8,2,1,6,7]=>[7,6,1,2,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,7,4,1,8,2,6,5]=>[5,6,2,8,1,4,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,8,4,1,7,6,2,5]=>[5,2,6,7,1,4,8,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,7,2,1,8,4,6,5]=>[5,6,4,8,1,2,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7,8]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [3,8,2,1,7,6,4,5]=>[5,4,6,7,1,2,8,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,5,7,8,2,4,6,1]=>[1,6,4,2,8,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,5,3,7,8,2,6,1]=>[1,6,2,8,7,3,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [1,7,3,6,8,4,5,2]=>[2,5,4,8,6,3,7,1]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,8,3,6,1,5,4,2]=>[2,4,5,1,6,3,8,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>2 [2,5,7,8,4,6,1,3]=>[3,1,6,4,8,7,5,2]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [6,2,1,7,4,5,3,8]=>[8,3,5,4,7,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,3,8,4,2,1]=>[1,2,4,8,3,6,5,7]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [8,5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,6,8,4,7,5,1,3]=>[3,1,5,7,4,8,6,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [6,7,5,1,4,8,3,2]=>[2,3,8,4,1,5,7,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [7,4,1,6,5,3,8,2]=>[2,8,3,5,6,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,8,2,7,3,6,4,1]=>[1,4,6,3,7,2,8,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>1 [1,6,5,7,3,8,4,2]=>[2,4,8,3,7,5,6,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,5,6,8,4,2,7,3]=>[3,7,2,4,8,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,4,1,8,2,7,5,3]=>[3,5,7,2,8,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [7,8,5,3,2,6,1,4]=>[4,1,6,2,3,5,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,7,4,3,8,2,5,1]=>[1,5,2,8,3,4,7,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,4,2,7,8,6,1,5]=>[5,1,6,8,7,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,8,6,1,4,3,2,5]=>[5,2,3,4,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [3,7,8,6,5,2,4,1]=>[1,4,2,5,6,8,7,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [4,5,2,7,8,6,3,1]=>[1,3,6,8,7,2,5,4]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [2,6,7,5,4,1,3,8]=>[8,3,1,4,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,3,1,8,4,2]=>[2,4,8,1,3,5,6,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [4,5,7,3,8,6,1,2]=>[2,1,6,8,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [6,8,5,3,7,2,1,4]=>[4,1,2,7,3,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [3,4,7,5,6,8,1,2]=>[2,1,8,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,7,1,5,8,2,6,3]=>[3,6,2,8,5,1,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,7,6,1,2,8,5,4]=>[4,5,8,2,1,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,7,6,2,1,8,4,5]=>[5,4,8,1,2,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,5,8,3,6,4,1]=>[1,4,6,3,8,5,7,2]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [7,4,8,2,6,5,3,1]=>[1,3,5,6,2,8,4,7]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,2,2,1,2]=>1 [2,3,6,5,7,8,1,4]=>[4,1,8,7,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,3,8,4,1,5,6,2]=>[2,6,5,1,4,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [3,8,7,5,1,4,2,6]=>[6,2,4,1,5,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [7,3,1,2,8,5,6,4]=>[4,6,5,8,2,1,3,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [4,5,2,3,8,6,7,1]=>[1,7,6,8,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,7,4,8,5,3,2,1]=>[1,2,3,5,8,4,7,6]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,2,3]=>1 [3,7,6,1,4,2,8,5]=>[5,8,2,4,1,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,5,6,1,7,8,2]=>[2,8,7,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,6,7,2,4,3,8,1]=>[1,8,3,4,2,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,1,2,8,5,7,6,3]=>[3,6,7,5,8,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [3,1,4,6,7,5,8,2]=>[2,8,5,7,6,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,2,1,4,6,8,3,7]=>[7,3,8,6,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,3,6,4,8,1,7]=>[7,1,8,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [7,3,1,4,5,8,2,6]=>[6,2,8,5,4,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,8,7,4,1,3,5,2]=>[2,5,3,1,4,7,8,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,2,1]=>2 [3,1,6,4,8,7,5,2]=>[2,5,7,8,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [5,8,7,4,1,3,6,2]=>[2,6,3,1,4,7,8,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [7,2,6,4,8,1,3,5]=>[5,3,1,8,4,6,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,7,3,1,2,6,8,4]=>[4,8,6,2,1,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,6,2,1,5,8,4]=>[4,8,5,1,2,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,4,3,1,6,8,5]=>[5,8,6,1,3,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,5,1,6,4,8,7,3]=>[3,7,8,4,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [3,7,8,4,2,6,5,1]=>[1,5,6,2,4,8,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [5,6,2,8,7,1,3,4]=>[4,3,1,7,8,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [7,8,1,4,3,5,6,2]=>[2,6,5,3,4,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [2,6,7,8,3,5,1,4]=>[4,1,5,3,8,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [3,6,7,8,2,1,5,4]=>[4,5,1,2,8,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [3,6,7,2,8,1,5,4]=>[4,5,1,8,2,7,6,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,6,7,1,3,5,8,4]=>[4,8,5,3,1,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,6,7,1,2,8,5,4]=>[4,5,8,2,1,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,6,7,1,8,2,5,4]=>[4,5,2,8,1,7,6,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,4,1,8,7,2,6,5]=>[5,6,2,7,8,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,5,1,7,3,6,8,4]=>[4,8,6,3,7,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,5,7,2,8,6,4]=>[4,6,8,2,7,5,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,1,5,7,8,2,6,4]=>[4,6,2,8,7,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,8,1,4,7,2,6,5]=>[5,6,2,7,4,1,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,1,3,2,7,6,5]=>[5,6,7,2,3,1,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,1,8,3,2,7,6,5]=>[5,6,7,2,3,8,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,1,3,8,2,7,6,5]=>[5,6,7,2,8,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,4,2,3,7,6,5,8]=>[8,5,6,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,8,2,7,6,5]=>[5,6,7,2,8,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,3,8,1,2,7,6,5]=>[5,6,7,2,1,8,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,3,8,2,1,7,6,5]=>[5,6,7,1,2,8,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,4,2,8,7,1,6,5]=>[5,6,1,7,8,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [3,8,4,2,7,1,6,5]=>[5,6,1,7,2,4,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,4,3,7,6,1,5]=>[5,1,6,7,3,4,8,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [2,4,3,8,7,6,1,5]=>[5,1,6,7,8,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,4,5,7,6,1,8,3]=>[3,8,1,6,7,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,5,7,6,8,1,3]=>[3,1,8,6,7,5,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,3,5,7,8,6,1,4]=>[4,1,6,8,7,5,3,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,3,8,4,7,6,1,5]=>[5,1,6,7,4,8,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,8,2,4,7,1,6,5]=>[5,6,1,7,4,2,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,2,4,8,7,1,6,5]=>[5,6,1,7,8,4,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [3,2,5,7,1,8,6,4]=>[4,6,8,1,7,5,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,3,5,7,1,6,8,4]=>[4,8,6,1,7,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,3,8,1,7,6,5]=>[5,6,7,1,8,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,2,8,3,1,7,6,5]=>[5,6,7,1,3,8,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,8,2,3,1,7,6,5]=>[5,6,7,1,3,2,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,2,1,3,7,6,5]=>[5,6,7,3,1,2,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,2,8,1,3,7,6,5]=>[5,6,7,3,1,8,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,1,2,4,7,8,6,5]=>[5,6,8,7,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,5,4,7,2,8,1,6]=>[6,1,8,2,7,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,4,6,8,7,1,5]=>[5,1,7,8,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,5,7,8,6,1,3,4]=>[4,3,1,6,8,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,4,7,6,8,1,3,5]=>[5,3,1,8,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,6,5,1,7,2,8,3]=>[3,8,2,7,1,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,7,5,8,2,3,1]=>[1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [3,2,7,6,8,1,4,5]=>[5,4,1,8,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,1,3,5,7,8,4,2]=>[2,4,8,7,5,3,1,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [4,5,1,7,6,8,2,3]=>[3,2,8,6,7,1,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,1,7,8,3,5,2,6]=>[6,2,5,3,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,2,3,1,8,4,6]=>[6,4,8,1,3,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,2,8,3,1,6,5,4]=>[4,5,6,1,3,8,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,6,3,1,2,8,4,5]=>[5,4,8,2,1,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,2,7,8,4,1,3,5]=>[5,3,1,4,8,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,8,5,2,4,1,3,6]=>[6,3,1,4,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [6,2,3,7,8,4,1,5]=>[5,1,4,8,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,6,2,3,1,8,4,5]=>[5,4,8,1,3,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,6,3,7,8,4,1,5]=>[5,1,4,8,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,7,8,5,3,4,1,6]=>[6,1,4,3,5,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,8,5,2,3,1,7,6]=>[6,7,1,3,2,5,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,3,5,1,2,7,8,6]=>[6,8,7,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,1,3,7,8,5,2,6]=>[6,2,5,8,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,4,8,5,2,7,6]=>[6,7,2,5,8,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,5,8,1,2,6,7,3]=>[3,7,6,2,1,8,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,8,3,5,7,2,1,6]=>[6,1,2,7,5,3,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,6,1,4,2,8,7,3]=>[3,7,8,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,7,1,2,6,3,5,8]=>[8,5,3,6,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,8,2,3,7,5,1]=>[1,5,7,3,2,8,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [5,8,2,1,3,7,4,6]=>[6,4,7,3,1,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,4,2,1,6,3,5,8]=>[8,5,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,3,4,1,5,6,8]=>[8,6,5,1,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,4,6,7,8,1]=>[1,8,7,6,4,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,3,7,4,6,8,1]=>[1,8,6,4,7,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,3,4,8,5,7,1]=>[1,7,5,8,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [1,7,5,8,4,2,6,3]=>[3,6,2,4,8,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [6,3,5,8,4,7,1,2]=>[2,1,7,4,8,5,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,8,7,4,5,1,6,3]=>[3,6,1,5,4,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [7,2,8,4,5,1,6,3]=>[3,6,1,5,4,8,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [3,1,8,5,2,6,7,4]=>[4,7,6,2,5,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,2,8,5,3,6,7,4]=>[4,7,6,3,5,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,1,3,5,2,6,8,4]=>[4,8,6,2,5,3,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,4,1,3,2,7,8,6]=>[6,8,7,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,8,2,1,6,7,3]=>[3,7,6,1,2,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [8,5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [2,6,4,3,1,7,8,5]=>[5,8,7,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,7,5,1,3,6,8,4]=>[4,8,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,1,5,3,6,7,4]=>[4,7,6,3,5,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,8,4,1,5,2,6,3]=>[3,6,2,5,1,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [5,4,3,1,2,7,8,6]=>[6,8,7,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,3,5,8,1,7,2,4]=>[4,2,7,1,8,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,5,7,4,2,8,1,3]=>[3,1,8,2,4,7,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,2,6,8,3,7,1,4]=>[4,1,7,3,8,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,8,6,3,4,1,7,2]=>[2,7,1,4,3,6,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,4,6,1,7,2,3,8]=>[8,3,2,7,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,1,8,6,2,3]=>[3,2,6,8,1,4,5,7]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [8,7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7,8]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [3,7,2,4,1,8,6,5]=>[5,6,8,1,4,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [5,7,6,8,1,3,4,2]=>[2,4,3,1,8,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [5,3,7,6,8,4,2,1]=>[1,2,4,8,6,7,3,5]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [3,1,7,4,5,6,2,8]=>[8,2,6,5,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,4,8,2,6,5]=>[5,6,2,8,4,3,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,6,5,4,8,3,7,1]=>[1,7,3,8,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,4,8,3,5,7,1,6]=>[6,1,7,5,3,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,7,3,2,4,6,5,8]=>[8,5,6,4,2,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [3,2,1,7,4,6,5,8]=>[8,5,6,4,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,2,6,7,1,8,4]=>[4,8,1,7,6,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,2,8,6,7,4,1,5]=>[5,1,4,7,6,8,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [8,4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [4,3,8,6,7,2,1,5]=>[5,1,2,7,6,8,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [3,8,4,7,6,5,1,2]=>[2,1,5,6,7,4,8,3]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>2 [3,2,7,5,6,8,4,1]=>[1,4,8,6,5,7,2,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,7,8,6,3,2,4,1]=>[1,4,2,3,6,8,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,2]=>1 [6,5,4,2,1,7,8,3]=>[3,8,7,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,8,5,3,1,7,2,4]=>[4,2,7,1,3,5,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [1,8,3,6,7,4,2,5]=>[5,2,4,7,6,3,8,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [1,5,7,3,2,6,4,8]=>[8,4,6,2,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,7,2,6,4,8]=>[8,4,6,2,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [6,1,4,8,2,7,3,5]=>[5,3,7,2,8,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,2,4,8,3,7,1,5]=>[5,1,7,3,8,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [8,1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [6,7,1,5,2,4,8,3]=>[3,8,4,2,5,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,8,7,6,4,5,2,3]=>[3,2,5,4,6,7,8,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [2,8,5,7,6,4,1,3]=>[3,1,4,6,7,5,8,2]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>3 [6,7,8,5,3,1,4,2]=>[2,4,1,3,5,8,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [1,6,8,2,5,4,7,3]=>[3,7,4,5,2,8,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,2,6,4,3,5,7,8]=>[8,7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,8,2,7,5,4,3]=>[3,4,5,7,2,8,6,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,1,2,1]=>3 [1,5,4,7,2,6,8,3]=>[3,8,6,2,7,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,3,7,6,2,8,5,4]=>[4,5,8,2,6,7,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,7,6,2,8,4,3,5]=>[5,3,4,8,2,6,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,7,3,5,2,8,6,4]=>[4,6,8,2,5,3,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [1,5,8,3,2,7,4,6]=>[6,4,7,2,3,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,7,6,4,8,2,5,3]=>[3,5,2,8,4,6,7,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [1,7,6,3,8,2,4,5]=>[5,4,2,8,3,6,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,5,2,7,6,4,8,3]=>[3,8,4,6,7,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,2,4,3,8,7,5,6]=>[6,5,7,8,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,3,8,6,2,4,5,7]=>[7,5,4,2,6,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,3,8,5,4,2,6,7]=>[7,6,2,4,5,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,8,6,5,4,3,7]=>[7,3,4,5,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,8,3,1,2,6,4,7]=>[7,4,6,2,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,8,7,1,5,2,6,3]=>[3,6,2,5,1,7,8,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [4,8,7,1,5,2,3,6]=>[6,3,2,5,1,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [7,6,8,4,1,3,2,5]=>[5,2,3,1,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,1,4,8,6,3,5,2]=>[2,5,3,6,8,4,1,7]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [8,6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [7,1,4,8,3,6,5,2]=>[2,5,6,3,8,4,1,7]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [7,8,5,2,4,3,6,1]=>[1,6,3,4,2,5,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [4,8,1,5,3,7,6,2]=>[2,6,7,3,5,1,8,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [8,7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7,8]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7,8]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7,8]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,8,6,4,2,5,1,3]=>[3,1,5,2,4,6,8,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>3 [7,8,2,4,6,5,1,3]=>[3,1,5,6,4,2,8,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [8,1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7,8]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [5,3,1,7,6,4,2,8]=>[8,2,4,6,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,3,1,4,2,8]=>[8,2,4,1,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,4,3,2,7,5]=>[5,7,2,3,4,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,7,6,4,2,5,3]=>[3,5,2,4,6,7,8,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [8,4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4,8]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,2,2,1]=>1 [1,4,8,6,7,5,3,2]=>[2,3,5,7,6,8,4,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,2,2,1]=>2 [7,3,8,5,6,4,2,1]=>[1,2,4,6,5,8,3,7]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,2,2,2]=>1 [7,6,2,5,8,4,3,1]=>[1,3,4,8,5,2,6,7]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [7,1,3,6,8,5,4,2]=>[2,4,5,8,6,3,1,7]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [1,8,2,7,5,6,4,3]=>[3,4,6,5,7,2,8,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>3 [7,2,8,6,4,5,3,1]=>[1,3,5,4,6,8,2,7]=>[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,2,1,2]=>1 [8,1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1,8]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>2 [1,7,2,8,4,3,6,5]=>[5,6,3,4,8,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,8,2,6,4,3,5,7]=>[7,5,3,4,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,7,2,5,4,6,3,8]=>[8,3,6,4,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,5,4,6,3,7]=>[7,3,6,4,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [6,5,7,2,3,1,8,4]=>[4,8,1,3,2,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,5,7,2,8,1,4,3]=>[3,4,1,8,2,7,5,6]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [6,7,2,5,8,1,4,3]=>[3,4,1,8,5,2,7,6]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [6,7,3,5,8,1,4,2]=>[2,4,1,8,5,3,7,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,7,3,5,8,2,4,1]=>[1,4,2,8,5,3,7,6]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [6,3,7,2,4,1,8,5]=>[5,8,1,4,2,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,3,7,5,8,1,4,2]=>[2,4,1,8,5,7,3,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,5,7,3,8,1,4,2]=>[2,4,1,8,3,7,5,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,3,7,4,8,2,5,1]=>[1,5,2,8,4,7,3,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [6,3,7,4,8,1,5,2]=>[2,5,1,8,4,7,3,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,2,7,4,8,3,5,1]=>[1,5,3,8,4,7,2,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [8,7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7,8]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [8,7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [6,8,4,5,7,3,2,1]=>[1,2,3,7,5,4,8,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,4,1]=>1 [5,6,4,2,1,7,8,3]=>[3,8,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,5,1,4,3,8,2]=>[2,8,3,4,1,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,8,5,1,4,3,7,2]=>[2,7,3,4,1,5,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,6,4,2,1,8,7,3]=>[3,7,8,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,7,6,8,3,5,1,4]=>[4,1,5,3,8,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [4,8,5,6,2,3,1,7]=>[7,1,3,2,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,6,8,1,3,5,4,7]=>[7,4,5,3,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,1,3,6,8,4,7]=>[7,4,8,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,2,1,5,3,8,6,4]=>[4,6,8,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,6,8,7,4,5,2,1]=>[1,2,5,4,7,8,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,3,2,1]=>1 [8,6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6,8]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [5,2,1,3,6,7,4,8]=>[8,4,7,6,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,1,8,6,3,5,4]=>[4,5,3,6,8,1,2,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [3,2,4,8,1,7,6,5]=>[5,6,7,1,8,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [6,2,7,1,4,8,3,5]=>[5,3,8,4,1,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,2,3,1,7,5,6,8]=>[8,6,5,7,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,2,3,1,5,8,6,7]=>[7,6,8,5,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,3,2,1,4,6,7,8,9]=>[9,8,7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,4,3,2,1,5,7,8,9]=>[9,8,7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,5,4,3,2,1,6,8,9]=>[9,8,6,1,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,6,5,4,3,2,1,7,9]=>[9,7,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [10,8,6,9,4,7,2,5,1,3]=>[3,1,5,2,7,4,9,6,8,10]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,2,1]=>3 [2,6,8,7,5,3,4,1]=>[1,4,3,5,7,8,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>1 [2,6,5,1,4,3,8,7]=>[7,8,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,1,2,4,3,8,7]=>[7,8,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,8,7,5,3,1,4,2]=>[2,4,1,3,5,7,8,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>2 [8,7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7,8]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [8,7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7,8]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7,8]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [2,8,7,1,6,5,3,4]=>[4,3,5,6,1,7,8,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [8,7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [2,1,8,7,3,4,6,5]=>[5,6,4,3,7,8,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [8,7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [2,8,7,1,4,3,6,5]=>[5,6,3,4,1,7,8,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [2,8,7,5,6,3,4,1]=>[1,4,3,6,5,7,8,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [2,4,8,7,3,1,6,5]=>[5,6,1,3,7,8,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [2,4,3,1,8,7,5,6]=>[6,5,7,8,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,8,7,5,6,3,1,4]=>[4,1,3,6,5,7,8,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [2,8,7,5,3,6,4,1]=>[1,4,6,3,5,7,8,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [2,8,7,5,6,1,4,3]=>[3,4,1,6,5,7,8,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [2,4,8,7,3,6,5,1]=>[1,5,6,3,7,8,4,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [8,7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7,8]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [4,8,7,1,2,6,5,3]=>[3,5,6,2,1,7,8,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [8,7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7,8]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [8,7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7,8]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,1,2,3,4,5,7,6,9]=>[9,6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,1,2,3,5,4,6,8]=>[8,6,4,5,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,9,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,1,1]=>7 [9,1,2,3,4,5,6,8,7,10]=>[10,7,8,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,1,2,4,3,5,6,8]=>[8,6,5,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,6,5,1,2,8]=>[8,2,1,5,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,3,7,1,4,8]=>[8,4,1,7,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,1,3,8,7,2]=>[2,7,8,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [2,5,8,6,1,4,3,7]=>[7,3,4,1,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,1,6,8,5,7,2,4]=>[4,2,7,5,8,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,5,6,1,8,4,7,3]=>[3,7,4,8,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,5,4,1,2,8,6,3]=>[3,6,8,2,1,4,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [8,4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,2,8,6,4,3,1,5]=>[5,1,3,4,6,8,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [6,3,8,7,4,2,1,5]=>[5,1,2,4,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [7,2,8,5,3,1,4,6]=>[6,4,1,3,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,8,3,7,4,2,1,6]=>[6,1,2,4,7,3,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,1,7,3,5,8,6,2]=>[2,6,8,5,3,7,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [5,4,8,1,3,2,6,7]=>[7,6,2,3,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,5,8,2,1,3,6,7]=>[7,6,3,1,2,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,8,3,5,7,2,4,6]=>[6,4,2,7,5,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [1,7,3,8,6,2,4,5]=>[5,4,2,6,8,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,8,7,4,6,2,5,3]=>[3,5,2,6,4,7,8,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [1,3,4,5,6,7,8,2,9]=>[9,2,8,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,3,4,5,6,7,8,9,2,10]=>[10,2,9,8,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,5,7,3,6,8,2,4]=>[4,2,8,6,3,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,8,6,2,4,7,1,3]=>[3,1,7,4,2,6,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,8,2,6,5,7,1,4]=>[4,1,7,5,6,2,8,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7,8]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [1,8,2,7,5,4,3,6]=>[6,3,4,5,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,8,1,7,5,4,2,6]=>[6,2,4,5,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [5,4,7,6,8,3,1,2]=>[2,1,3,8,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [1,5,7,8,6,3,2,4]=>[4,2,3,6,8,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4,8]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [8,2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [4,8,7,5,6,2,1,3]=>[3,1,2,6,5,7,8,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [8,7,1,9,6,5,4,3,2]=>[2,3,4,5,6,9,1,7,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,1,3]=>2 [5,6,8,4,1,7,3,2]=>[2,3,7,1,4,8,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [4,5,8,7,3,1,6,2]=>[2,6,1,3,7,8,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [8,7,6,1,9,5,4,3,2]=>[2,3,4,5,9,1,6,7,8]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,1,4]=>2 [1,5,8,4,3,7,6,2]=>[2,6,7,3,4,8,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [8,1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1,8]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [8,1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [2,7,1,5,4,8,6,3]=>[3,6,8,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [2,4,1,6,7,5,8,3]=>[3,8,5,7,6,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,5,1,7,8,6,4,3]=>[3,4,6,8,7,1,5,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [3,5,6,2,8,7,4,1]=>[1,4,7,8,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [2,4,5,1,7,6,3,8]=>[8,3,6,7,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,4,1,1]=>1 [3,4,5,6,2,8,1,7]=>[7,1,8,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,7,4,2,8,5,1,6]=>[6,1,5,8,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,2,1,6,3,4,8,5]=>[5,8,4,3,6,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,4,1,6,5,8,2]=>[2,8,5,6,1,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,3,5,1,4,8,7,6]=>[6,7,8,4,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [2,7,1,3,6,8,5,4]=>[4,5,8,6,3,1,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,7,1,3,8,4,6,5]=>[5,6,4,8,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,8,7,1,4,5,2,6]=>[6,2,5,4,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,7,4,2,1,8,6,5]=>[5,6,8,1,2,4,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [8,3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [7,3,4,6,2,1,5,8]=>[8,5,1,2,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,6,1,2,8,5]=>[5,8,2,1,6,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,5,8,7,6,1,3,2]=>[2,3,1,6,7,8,5,4]=>[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>2 [8,3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3,8]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [8,7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7,8]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [7,6,3,8,1,4,5,2]=>[2,5,4,1,8,3,6,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [8,5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [8,6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [7,6,3,8,1,4,2,5]=>[5,2,4,1,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,4,7,3,1,5,2,8]=>[8,2,5,1,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,3,1,2,8,6]=>[6,8,2,1,3,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,6,3,2,1,7,4,8]=>[8,4,7,1,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [7,4,5,2,1,3,8,6]=>[6,8,3,1,2,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [6,5,3,7,4,2,1,8]=>[8,1,2,4,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,8,4,2,5,7]=>[7,5,2,4,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,7,2,5,3,6,1,8]=>[8,1,6,3,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,8,3,4,6,1,5,2]=>[2,5,1,6,4,3,8,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [6,1,4,8,3,2,5,7]=>[7,5,2,3,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,1,8,5,3,2,6,7]=>[7,6,2,3,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,2,8,6,5,1,4,3]=>[3,4,1,5,6,8,2,7]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [7,4,8,6,1,5,3,2]=>[2,3,5,1,6,8,4,7]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,2,1,2]=>2 [8,7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7,8]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [6,8,4,1,5,2,3,7]=>[7,3,2,5,1,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,4,1,2,8,3,7,6]=>[6,7,3,8,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,8,4,1,2,3,7,6]=>[6,7,3,2,1,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,6,3,2,7,4,5]=>[5,4,7,2,3,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,6,2,7,4,5,3]=>[3,5,4,7,2,6,8,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [3,6,1,7,4,8,5,2]=>[2,5,8,4,7,1,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,3,6,1,8,7,4,5]=>[5,4,7,8,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,4,8,6,5,7,2,1]=>[1,2,7,5,6,8,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [2,3,6,8,1,7,4,5]=>[5,4,7,1,8,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,4,8,5,6,7,1,3]=>[3,1,7,6,5,8,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,4,8,5,6,7,3,2]=>[2,3,7,6,5,8,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [1,7,4,8,5,6,3,2]=>[2,3,6,5,8,4,7,1]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [3,5,8,6,2,7,4,1]=>[1,4,7,2,6,8,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [1,2,5,7,4,6,3,8]=>[8,3,6,4,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,8,4,2,1,7,3]=>[3,7,1,2,4,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [3,6,4,2,5,1,8,7]=>[7,8,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,8,5,6,3,7,1]=>[1,7,3,6,5,8,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,3,7,2,6,8,4,1]=>[1,4,8,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [8,7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7,8]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [5,7,2,3,4,6,8,1]=>[1,8,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,1,2,3,8,6,4]=>[4,6,8,3,2,1,7,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,7,6,2,1,8,5,3]=>[3,5,8,1,2,6,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [4,2,7,1,6,8,5,3]=>[3,5,8,6,1,7,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [4,1,2,7,5,8,6,3]=>[3,6,8,5,7,2,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [6,3,4,7,8,1,5,2]=>[2,5,1,8,7,4,3,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,7,8,3,4,1,5,2]=>[2,5,1,4,3,8,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [3,1,2,8,5,7,6,4]=>[4,6,7,5,8,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>4 [7,6,8,4,2,1,5,3]=>[3,5,1,2,4,8,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [7,8,6,2,4,1,5,3]=>[3,5,1,4,2,6,8,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>3 [3,6,7,4,2,5,8,1]=>[1,8,5,2,4,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,2,8,4,6,1,5,3]=>[3,5,1,6,4,8,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [2,8,6,3,1,7,5,4]=>[4,5,7,1,3,6,8,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [3,6,4,7,2,5,8,1]=>[1,8,5,2,7,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,2,6,8,1,5,3]=>[3,5,1,8,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,4,6,2,8,1,5,3]=>[3,5,1,8,2,6,4,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,6,4,8,2,1,5,3]=>[3,5,1,2,8,4,6,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [7,5,6,1,2,4,3,8]=>[8,3,4,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,8,4,2,3,5,7]=>[7,5,3,2,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,1,6,3,8,5,4,2]=>[2,4,5,8,3,6,1,7]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [7,3,6,2,1,8,5,4]=>[4,5,8,1,2,6,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [7,4,6,2,1,8,5,3]=>[3,5,8,1,2,6,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,2,4,3,1,6,8,5]=>[5,8,6,1,3,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,3,1,6,4,8,5]=>[5,8,4,6,1,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,8,2,5,4,3,7]=>[7,3,4,5,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,8,7,3,4,6,2]=>[2,6,4,3,7,8,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [6,5,2,3,8,1,4,7]=>[7,4,1,8,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,1,8,6,3,4,5,7]=>[7,5,4,3,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,8,6,4,2,5,7,3]=>[3,7,5,2,4,6,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,6,2,1,8,4,7,3]=>[3,7,4,8,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,4,1,8,7,5,3,6]=>[6,3,5,7,8,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,8,1,6,5,7,3,4]=>[4,3,7,5,6,1,8,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,4,8,1,7,5,6,3]=>[3,6,5,7,1,8,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [5,2,1,4,8,3,7,6]=>[6,7,3,8,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,1,6,4,3,8,7,2]=>[2,7,8,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,5,4,7,3,1,8,2]=>[2,8,1,3,7,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,3,1,4,8,5,7]=>[7,5,8,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,1,8,4,7,6,3]=>[3,6,7,4,8,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [5,4,6,8,1,3,7,2]=>[2,7,3,1,8,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,7,5,1,3,4,8,2]=>[2,8,4,3,1,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,5,3,2,1,8,4]=>[4,8,1,2,3,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,1,6,4,5,8,2]=>[2,8,5,4,6,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,1,6,7,2,5,4,8]=>[8,4,5,2,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,1,4,6,7,8]=>[8,7,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,2,5,3,1,7,6]=>[6,7,1,3,5,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,1,3,7,6,4,5,8]=>[8,5,4,6,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,1,6,7,5,4,3]=>[3,4,5,7,6,1,8,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,1,2,1]=>3 [1,3,8,7,5,4,6,2]=>[2,6,4,5,7,8,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [4,7,2,6,1,5,8,3]=>[3,8,5,1,6,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,8,6,3,1,5,2]=>[2,5,1,3,6,8,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [2,8,7,3,1,6,4,5]=>[5,4,6,1,3,7,8,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [1,2,4,9,8,7,6,5,3]=>[3,5,6,7,8,9,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1,1]=>3 [5,3,8,4,6,7,1,2]=>[2,1,7,6,4,8,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,1,8,4,5,2,6,7]=>[7,6,2,5,4,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,3,8,6,4,7,1,5]=>[5,1,7,4,6,8,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,3,7,8,4,5,1,2]=>[2,1,5,4,8,7,3,6]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [6,7,3,4,8,5,1,2]=>[2,1,5,8,4,3,7,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,4,1,8,2,5,6,3]=>[3,6,5,2,8,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,1,7,2,5,6,8,4]=>[4,8,6,5,2,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,3,1,6,2,4,5]=>[5,4,2,6,1,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [2,3,7,4,5,1,8,6]=>[6,8,1,5,4,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,7,1,5,6,8,4]=>[4,8,6,5,1,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,3,4,8,1,5,6,2]=>[2,6,5,1,8,4,3,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [5,7,2,6,8,1,4,3]=>[3,4,1,8,6,2,7,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [4,1,5,7,3,2,8,6]=>[6,8,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,8,6,2,7,3,1,4]=>[4,1,3,7,2,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [6,5,1,7,8,3,4,2]=>[2,4,3,8,7,1,5,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,4,1,7,2,8,5,3]=>[3,5,8,2,7,1,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,4,1,7,3,8,6,2]=>[2,6,8,3,7,1,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,3,1,6,2,8,5,4]=>[4,5,8,2,6,1,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,4,1,8,2,7,3,5]=>[5,3,7,2,8,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,8,2,5,3,1,6,7]=>[7,6,1,3,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,4,1,8,3,6,7,2]=>[2,7,6,3,8,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,1,3,4,8,2,6,7]=>[7,6,2,8,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,6,2,8,1,7,3,5]=>[5,3,7,1,8,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,2,3,6,1,8,5,4]=>[4,5,8,1,6,3,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [7,8,2,3,5,1,6,4]=>[4,6,1,5,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,4,5,1,2,6,3]=>[3,6,2,1,5,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [6,1,4,5,7,8,2,3]=>[3,2,8,7,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,3,4,7,1,8,5,2]=>[2,5,8,1,7,4,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,1,3,4,7,2,8,6]=>[6,8,2,7,4,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,8,5,1,3,4,6,2]=>[2,6,4,3,1,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,1,3,4,5,6,8,2]=>[2,8,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,4,2,7,8,6,1,3]=>[3,1,6,8,7,2,4,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,8,6,1,3,4,2,5]=>[5,2,4,3,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [7,1,6,2,3,4,8,5]=>[5,8,4,3,2,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,6,8,5,2,4,1]=>[1,4,2,5,8,6,7,3]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [3,8,5,4,7,6,2,1]=>[1,2,6,7,4,5,8,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,4,1,1]=>1 [7,6,1,2,5,3,8,4]=>[4,8,3,5,2,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,7,2,6,3,4,1]=>[1,4,3,6,2,7,8,5]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [1,7,6,8,4,2,5,3]=>[3,5,2,4,8,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,1,7,3,2,4,8,5]=>[5,8,4,2,3,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,2,1,5,3,8,4]=>[4,8,3,5,1,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,7,2,3,1,4,8,5]=>[5,8,4,1,3,2,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,2,8,7,1,6,5]=>[5,6,1,7,8,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,8,3,2,7,1,6,5]=>[5,6,1,7,2,3,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,3,1,7,6,5,2]=>[2,5,6,7,1,3,8,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,3,1,1,1]=>2 [5,3,8,7,1,6,4,2]=>[2,4,6,1,7,8,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [5,8,7,3,1,6,4,2]=>[2,4,6,1,3,7,8,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [5,3,8,2,1,7,6,4]=>[4,6,7,1,2,8,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [7,4,1,8,6,5,3,2]=>[2,3,5,6,8,1,4,7]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,2,1,2]=>2 [5,8,4,2,1,7,6,3]=>[3,6,7,1,2,4,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,4,8,3,1,7,6,2]=>[2,6,7,1,3,8,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [6,1,8,5,4,3,7,2]=>[2,7,3,4,5,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,5,1,7,3,4,8,2]=>[2,8,4,3,7,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,8,1,5,2,4,7,3]=>[3,7,4,2,5,1,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,1,5,8,4,7,2,3]=>[3,2,7,4,8,5,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,8,7,2,3,4,6,1]=>[1,6,4,3,2,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [7,2,5,6,1,4,8,3]=>[3,8,4,1,6,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,2,6,8,1,4,7,3]=>[3,7,4,1,8,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,7,4,1,2,5,8,3]=>[3,8,5,2,1,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,6,8,5,2,4,7,3]=>[3,7,4,2,5,8,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,6,7,4,2,5,8,3]=>[3,8,5,2,4,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,6,7,5,8,3,2,4]=>[4,2,3,8,5,7,6,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [1,6,8,5,7,4,2,3]=>[3,2,4,7,5,8,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [2,6,7,5,8,3,1,4]=>[4,1,3,8,5,7,6,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,6,7,4,1,5,8,3]=>[3,8,5,1,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,7,4,1,6,5,8,2]=>[2,8,5,6,1,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,1,3,1]=>2 [5,2,1,6,8,4,7,3]=>[3,7,4,8,6,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,5,8,7,4,2,3,1]=>[1,3,2,4,7,8,5,6]=>[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,1,3,1]=>1 [3,1,8,6,5,7,4,2]=>[2,4,7,5,6,8,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [6,8,5,7,4,2,1,3]=>[3,1,2,4,7,5,8,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [3,6,7,5,8,2,1,4]=>[4,1,2,8,5,7,6,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [1,8,6,5,7,4,3,2]=>[2,3,4,7,5,6,8,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,3,1]=>2 [2,7,8,5,6,3,1,4]=>[4,1,3,6,5,8,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [4,7,8,5,6,3,1,2]=>[2,1,3,6,5,8,7,4]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [4,7,8,5,3,6,1,2]=>[2,1,6,3,5,8,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [2,7,8,5,3,4,6,1]=>[1,6,4,3,5,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [2,7,8,5,3,1,4,6]=>[6,4,1,3,5,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,7,5,3,8,1,2,6]=>[6,2,1,8,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,5,8,3,1,4,6]=>[6,4,1,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,7,5,8,3,4,6,1]=>[1,6,4,3,8,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [2,7,5,6,3,4,8,1]=>[1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,7,5,6,3,1,4,8]=>[8,4,1,3,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,6,3,1,2,8]=>[8,2,1,3,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,3,6,1,2,8]=>[8,2,1,6,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,3,1,4,2,8]=>[8,2,4,1,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,3,1,6,2,8]=>[8,2,6,1,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,3,1,6,4,8]=>[8,4,6,1,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,3,6,1,4,8]=>[8,4,1,6,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,3,6,4,8,1]=>[1,8,4,6,3,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,7,5,3,8,4,6,1]=>[1,6,4,8,3,5,7,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [4,7,5,3,1,8,2,6]=>[6,2,8,1,3,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,5,3,1,8,2,4]=>[4,2,8,1,3,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,7,5,3,8,1,6,4]=>[4,6,1,8,3,5,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,7,5,3,8,6,1,4]=>[4,1,6,8,3,5,7,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,7,5,8,3,1,6,4]=>[4,6,1,3,8,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [4,7,5,3,8,1,6,2]=>[2,6,1,8,3,5,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [6,7,5,3,8,1,4,2]=>[2,4,1,8,3,5,7,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [8,7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7,8]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [4,7,5,3,8,6,1,2]=>[2,1,6,8,3,5,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [2,7,5,8,6,3,1,4]=>[4,1,3,6,8,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,7,5,8,6,3,4,1]=>[1,4,3,6,8,5,7,2]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [2,7,5,6,8,3,4,1]=>[1,4,3,8,6,5,7,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [2,7,5,6,8,3,1,4]=>[4,1,3,8,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,7,5,3,6,8,1,2]=>[2,1,8,6,3,5,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,7,5,3,4,1,8,2]=>[2,8,1,4,3,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,7,5,3,6,1,8,2]=>[2,8,1,6,3,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,7,5,6,3,1,8,4]=>[4,8,1,3,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,5,6,3,8,4,1]=>[1,4,8,3,6,5,7,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,7,5,3,6,8,4,1]=>[1,4,8,6,3,5,7,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,7,5,3,6,8,1,4]=>[4,1,8,6,3,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,7,5,3,6,1,8,4]=>[4,8,1,6,3,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,5,3,1,6,8,4]=>[4,8,6,1,3,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,5,3,1,6,8,2]=>[2,8,6,1,3,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [2,7,5,3,1,4,8,6]=>[6,8,4,1,3,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,5,3,4,1,8,6]=>[6,8,1,4,3,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,5,3,4,8,1,6]=>[6,1,8,4,3,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,5,3,4,8,6,1]=>[1,6,8,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,7,5,3,4,6,8,1]=>[1,8,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,7,5,3,4,6,1,8]=>[8,1,6,4,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,3,4,1,6,8]=>[8,6,1,4,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,3,1,4,6,8]=>[8,6,4,1,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,3,1,2,6,8]=>[8,6,2,1,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,2,8,3,1,4]=>[4,1,3,8,2,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,7,6,1,8,3,2,4]=>[4,2,3,8,1,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,8,7,2,1,5,4,6]=>[6,4,5,1,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,7,5,2,1,4,8,6]=>[6,8,4,1,2,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,6,5,7,8,3,1,2]=>[2,1,3,8,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,7,6,3,8,2,1,4]=>[4,1,2,8,3,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,7,6,1,8,4,2,5]=>[5,2,4,8,1,6,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,1,7,3,8,5,2,4]=>[4,2,5,8,3,7,1,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,1,8,3,2,5,4,6]=>[6,4,5,2,3,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,7,8,3,1,5,4,6]=>[6,4,5,1,3,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,5,6,8,7,3,1,4]=>[4,1,3,7,8,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [4,8,5,6,7,2,1,3]=>[3,1,2,7,6,5,8,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [5,8,7,2,3,4,1,6]=>[6,1,4,3,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [2,4,6,7,8,3,1,5]=>[5,1,3,8,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,7,6,2,8,5,1,3]=>[3,1,5,8,2,6,7,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,8,6,3,7,4,1,2]=>[2,1,4,7,3,6,8,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [5,8,7,3,2,4,1,6]=>[6,1,4,2,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,6,5,8,7,3,1,2]=>[2,1,3,7,8,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>2 [5,8,6,3,7,2,1,4]=>[4,1,2,7,3,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [8,3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [7,3,1,4,8,2,6,5]=>[5,6,2,8,4,1,3,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [6,3,1,4,8,2,7,5]=>[5,7,2,8,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,5,6,1,3,8,4,2]=>[2,4,8,3,1,6,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,8,5,1,3,7,4,2]=>[2,4,7,3,1,5,8,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [5,7,6,1,3,8,4,2]=>[2,4,8,3,1,6,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,7,5,1,3,8,4,2]=>[2,4,8,3,1,5,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,7,1,4,2,8,5,3]=>[3,5,8,2,4,1,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,7,1,4,2,8,6,3]=>[3,6,8,2,4,1,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [8,3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [6,7,4,1,3,8,5,2]=>[2,5,8,3,1,4,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,1,6,4,8,3,7,5]=>[5,7,3,8,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,6,1,2,4,8,5,3]=>[3,5,8,4,2,1,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,6,4,1,3,8,5,2]=>[2,5,8,3,1,4,6,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,5,7,8,4,2,3,6]=>[6,3,2,4,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,3,6,4,2,5,7,8]=>[8,7,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,7,8,3,6,2]=>[2,6,3,8,7,5,4,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,5,7,8,3,6,2,4]=>[4,2,6,3,8,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,5,7,8,2,4,3,6]=>[6,3,4,2,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,8,1,7,2,4,5,3]=>[3,5,4,2,7,1,8,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [6,8,4,7,3,2,1,5]=>[5,1,2,3,7,4,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [3,8,4,2,7,5,1,6]=>[6,1,5,7,2,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,3,2,1,5,4,7]=>[7,4,5,1,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,5,8,2,1,3,4,7]=>[7,4,3,1,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,8,5,3,6,1,4,7]=>[7,4,1,6,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,1,4,6,7,5,3]=>[3,5,7,6,4,1,8,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [2,8,4,1,7,6,5,3]=>[3,5,6,7,1,4,8,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,2,1,1,1]=>3 [6,8,5,4,2,7,1,3]=>[3,1,7,2,4,5,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,8,4,6,3,2,7,5]=>[5,7,2,3,6,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,4,8,5,3,2,1,7]=>[7,1,2,3,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,1,7,3,2,6,8]=>[8,6,2,3,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,1,4,2,7,8]=>[8,7,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,8,4,2,7,5]=>[5,7,2,4,8,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,3,6,8,4,2,7,1]=>[1,7,2,4,8,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,5,8,1,2,3,7,4]=>[4,7,3,2,1,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,3,1,4,7,6,8,2]=>[2,8,6,7,4,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,3,2,4,6,8,5]=>[5,8,6,4,2,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,3,2,7,5,8,1]=>[1,8,5,7,2,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,4,5,6,1,3,8,2]=>[2,8,3,1,6,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,4,2,1,3,8,6]=>[6,8,3,1,2,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,6,7,8,3,5,2,4]=>[4,2,5,3,8,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,1,4,8,7,3,5,6]=>[6,5,3,7,8,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,6,5,7,8,3,1,4]=>[4,1,3,8,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,7,6,8,2,5,4,1]=>[1,4,5,2,8,6,7,3]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [5,4,6,8,7,1,3,2]=>[2,3,1,7,8,6,4,5]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>2 [4,1,8,2,6,7,5,3]=>[3,5,7,6,2,8,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [3,6,7,8,2,1,4,5]=>[5,4,1,2,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [2,5,7,1,6,3,4,8]=>[8,4,3,6,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,8,3,6,5,1,7]=>[7,1,5,6,3,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,8,7,2,4,5,1]=>[1,5,4,2,7,8,3,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>1 [7,6,1,8,2,4,5,3]=>[3,5,4,2,8,1,6,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [2,5,6,3,4,8,1,7]=>[7,1,8,4,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,1,4,7,8,6,3]=>[3,6,8,7,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [5,2,4,7,8,6,1,3]=>[3,1,6,8,7,4,2,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,5,1,2,8,6,4,7]=>[7,4,6,8,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,2,1,3,4,8,5,6]=>[6,5,8,4,3,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,5,7,1,8,6,3]=>[3,6,8,1,7,5,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [2,6,4,7,3,1,5,8]=>[8,5,1,3,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,7,3,8,5,1]=>[1,5,8,3,7,4,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,6,3,1,2,5,8,4]=>[4,8,5,2,1,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,7,4,3,2,8,6]=>[6,8,2,3,4,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,4,8,6,7,2,5,1]=>[1,5,2,7,6,8,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [1,6,7,2,4,3,5,8]=>[8,5,3,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,7,3,2,6,5,4]=>[4,5,6,2,3,7,8,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [1,8,5,3,6,7,2,4]=>[4,2,7,6,3,5,8,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,4,1,7,3,6,2,8]=>[8,2,6,3,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,8,6,7,2,1,5]=>[5,1,2,7,6,8,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [3,4,8,2,5,1,7,6]=>[6,7,1,5,2,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,4,6,2,5,8,7,3]=>[3,7,8,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,4,7,6,3,2,8,5]=>[5,8,2,3,6,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,5,6,4,2,3,8,7]=>[7,8,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,4,1,8,2,7,5]=>[5,7,2,8,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,1,6,8,2,5,7,3]=>[3,7,5,2,8,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,7,5,1,6,8,4,2]=>[2,4,8,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,8,7,4,6,2,3,1]=>[1,3,2,6,4,7,8,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>1 [6,8,7,1,5,3,4,2]=>[2,4,3,5,1,7,8,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>2 [2,7,8,4,6,5,1,3]=>[3,1,5,6,4,8,7,2]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [3,7,8,5,4,6,2,1]=>[1,2,6,4,5,8,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [4,8,7,5,2,6,3,1]=>[1,3,6,2,5,7,8,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>1 [2,8,7,4,6,1,5,3]=>[3,5,1,6,4,7,8,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [4,8,7,2,5,6,3,1]=>[1,3,6,5,2,7,8,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>1 [4,7,8,5,3,6,2,1]=>[1,2,6,3,5,8,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [6,4,8,1,5,7,3,2]=>[2,3,7,5,1,8,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [1,6,8,3,5,2,7,4]=>[4,7,2,5,3,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,5,8,6,3,7,2,1]=>[1,2,7,3,6,8,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [2,6,7,8,4,5,1,3]=>[3,1,5,4,8,7,6,2]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,1,2,8,4,7,5,3]=>[3,5,7,4,8,2,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [4,7,1,8,5,6,3,2]=>[2,3,6,5,8,1,7,4]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [5,7,1,8,2,6,4,3]=>[3,4,6,2,8,1,7,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [7,2,1,8,6,4,5,3]=>[3,5,4,6,8,1,2,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [5,3,8,4,7,6,2,1]=>[1,2,6,7,4,8,3,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,4,1,1]=>1 [2,5,8,1,7,4,6,3]=>[3,6,4,7,1,8,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [4,5,8,3,7,6,2,1]=>[1,2,6,7,3,8,5,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,4,1,1]=>1 [1,7,2,8,6,4,5,3]=>[3,5,4,6,8,2,7,1]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [3,5,7,8,1,6,2,4]=>[4,2,6,1,8,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,4,7,8,5,6,1,3]=>[3,1,6,5,8,7,4,2]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,1,7,8,5,6,3,2]=>[2,3,6,5,8,7,1,4]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [3,5,8,6,4,7,2,1]=>[1,2,7,4,6,8,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [2,4,8,5,7,6,1,3]=>[3,1,6,7,5,8,4,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,6,3,8,5,1,7,4]=>[4,7,1,5,8,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,1,5,8,6,7,3,2]=>[2,3,7,6,8,5,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>2 [1,4,3,7,2,8,5,6]=>[6,5,8,2,7,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,8,2,6,3,1,7]=>[7,1,3,6,2,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,5,2,4,7,1,8]=>[8,1,7,4,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,3,4,8,1,7]=>[7,1,8,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,4,7,6,1,2,8]=>[8,2,1,6,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,3,2,8,4,7]=>[7,4,8,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,3,2,7,6,8]=>[8,6,7,2,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,4,8,3,7,5]=>[5,7,3,8,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,4,7,2,1,8,5,6]=>[6,5,8,1,2,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,8,2,1,4,7,6,5]=>[5,6,7,4,1,2,8,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,5,4,1,3,7,6]=>[6,7,3,1,4,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,6,5,3,1,2,7]=>[7,2,1,3,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,4,6,3,1,7,2,8]=>[8,2,7,1,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,1,6,7,2,8]=>[8,2,7,6,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,8,6,4,7,2,5]=>[5,2,7,4,6,8,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,2,8,6,4,3,7,5]=>[5,7,3,4,6,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [1,8,4,7,6,2,3,5]=>[5,3,2,6,7,4,8,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [1,6,3,7,4,5,2,8]=>[8,2,5,4,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,7,4,8,5,1]=>[1,5,8,4,7,3,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,6,1,7,8,2,5,3]=>[3,5,2,8,7,1,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,2,3,8,4,5,6,1]=>[1,6,5,4,8,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,5,1,8,7,2,4,3]=>[3,4,2,7,8,1,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [5,8,4,3,7,2,1,6]=>[6,1,2,7,3,4,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,1,2,8,7,3,4,5]=>[5,4,3,7,8,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [7,3,2,8,4,6,1,5]=>[5,1,6,4,8,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,5,2,7,6,3,4,8]=>[8,4,3,6,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,1,7,6,2,5,3]=>[3,5,2,6,7,1,8,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [7,2,8,6,5,3,4,1]=>[1,4,3,5,6,8,2,7]=>[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [4,1,8,7,6,5,2,3]=>[3,2,5,6,7,8,1,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [7,6,5,2,8,4,3,1]=>[1,3,4,8,2,5,6,7]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [7,8,5,2,6,4,1,3]=>[3,1,4,6,2,5,8,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,2]=>3 [6,5,1,8,7,4,3,2]=>[2,3,4,7,8,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,3,1]=>2 [7,5,1,8,6,4,3,2]=>[2,3,4,6,8,1,5,7]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,2,2]=>2 [8,5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5,8]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,1,2,1,1]=>2 [8,5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5,8]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>2 [3,6,2,8,4,1,5,7]=>[7,5,1,4,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,5,8,4,7,2,3]=>[3,2,7,4,8,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2,8]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [1,6,3,5,4,8,2,7]=>[7,2,8,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,3,1,8,7,2,6]=>[6,2,7,8,1,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,6,8,1,5,2,3,7]=>[7,3,2,5,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,6,8,5,2,7,1,4]=>[4,1,7,2,5,8,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,1,8,2,7,4,3,5]=>[5,3,4,7,2,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [2,5,6,3,1,7,4,8]=>[8,4,7,1,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,6,1,4,3,8]=>[8,3,4,1,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,2,8,1,3,4]=>[4,3,1,8,2,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,2,4,6,8,7,1,3]=>[3,1,7,8,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,4,6,2,5,7,3,8]=>[8,3,7,5,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,6,5,2,8,4,3]=>[3,4,8,2,5,6,1,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,5,8,6,2,7,4,3]=>[3,4,7,2,6,8,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [8,7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [3,1,8,5,7,2,6,4]=>[4,6,2,7,5,8,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [6,7,4,2,3,8,1,5]=>[5,1,8,3,2,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,7,3,5,8,1,6,4]=>[4,6,1,8,5,3,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,2,7,3,8,1,6,4]=>[4,6,1,8,3,7,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [3,7,5,8,2,1,6,4]=>[4,6,1,2,8,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,2,6,7,1,8,5,4]=>[4,5,8,1,7,6,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,1,3,7,8,2,5,4]=>[4,5,2,8,7,3,1,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,2,1,4,7,8,5,3]=>[3,5,8,7,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,7,2,8,1,4,6,3]=>[3,6,4,1,8,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,8,4,3,1,6,5,2]=>[2,5,6,1,3,4,8,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [2,7,5,8,6,1,3,4]=>[4,3,1,6,8,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,7,1,3,8,5,4,2]=>[2,4,5,8,3,1,7,6]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [6,1,2,4,5,3,7,8]=>[8,7,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,2,4,6,3,8]=>[8,3,6,4,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [4,1,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,4,1,2,3,6,7,8,9]=>[9,8,7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [2,7,4,8,6,5,3,1]=>[1,3,5,6,8,4,7,2]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,2,1,2]=>1 [7,6,4,3,1,5,8,2]=>[2,8,5,1,3,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,8,7,2,3,5,4]=>[4,5,3,2,7,8,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [8,6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [3,6,8,2,7,1,5,4]=>[4,5,1,7,2,8,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [2,8,6,1,4,5,7,3]=>[3,7,5,4,1,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,8,7,2,5,4,1,3]=>[3,1,4,5,2,7,8,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>3 [3,5,7,9,1,2,4,6,8,10]=>[10,8,6,4,2,1,9,7,5,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,2,6,4,8,7,5,1]=>[1,5,7,8,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [4,7,2,8,6,5,1,3]=>[3,1,5,6,8,2,7,4]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [4,7,1,8,6,5,3,2]=>[2,3,5,6,8,1,7,4]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,2,1,2]=>2 [2,7,4,8,3,6,1,5]=>[5,1,6,3,8,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,7,3,8,6,1,5,2]=>[2,5,1,6,8,3,7,4]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [4,3,6,8,7,2,5,1]=>[1,5,2,7,8,6,3,4]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [4,3,8,2,5,7,6,1]=>[1,6,7,5,2,8,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [4,1,2,6,8,7,5,3]=>[3,5,7,8,6,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [3,1,6,4,8,7,2,5]=>[5,2,7,8,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,1,6,8,7,5,2,3]=>[3,2,5,7,8,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [3,8,1,4,5,7,2,6]=>[6,2,7,5,4,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,8,1,4,2,5,7,6]=>[6,7,5,2,4,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,1,8,3,5,2,7,6]=>[6,7,2,5,3,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,1,2,5,4,7,6]=>[6,7,4,5,2,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,2,3,6,8,7,1,5]=>[5,1,7,8,6,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,2,8,3,5,1,7,6]=>[6,7,1,5,3,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,2,8,3,5,7,6,1]=>[1,6,7,5,3,8,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [3,8,2,4,5,7,6,1]=>[1,6,7,5,4,2,8,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [3,8,2,5,1,4,7,6]=>[6,7,4,1,5,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,2,8,5,7,1,3,6]=>[6,3,1,7,5,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,1,5,2,4,7,6]=>[6,7,4,2,5,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,5,6,4,1,3,2,8]=>[8,2,3,1,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,6,4,1,3,2,5]=>[5,2,3,1,4,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [7,3,2,1,4,6,5,8]=>[8,5,6,4,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,4,3,2,5,8]=>[8,5,2,3,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,1,5,8,7,4]=>[4,7,8,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,4,7,1,5,6,8,2]=>[2,8,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,7,4,1,2,8,5]=>[5,8,2,1,4,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,2,7,1,6,8,5]=>[5,8,6,1,7,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,4,8,1,5,6,3,2]=>[2,3,6,5,1,8,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [2,6,8,1,5,3,7,4]=>[4,7,3,5,1,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,8,2,1,5,3,7,4]=>[4,7,3,5,1,2,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,3,2,6,4,8,7,1]=>[1,7,8,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,4,5,3,8,6,7,1]=>[1,7,6,8,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,3,5,2,8,6,7,1]=>[1,7,6,8,2,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,8,5,3,2,6,7,1]=>[1,7,6,2,3,5,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [5,6,7,4,2,8,3,1]=>[1,3,8,2,4,7,6,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,5,7,4,6,8,3,1]=>[1,3,8,6,4,7,5,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [7,5,2,4,3,8,6,1]=>[1,6,8,3,4,2,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [6,8,1,2,5,4,7,3]=>[3,7,4,5,2,1,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,6,1,8,5,4,7,3]=>[3,7,4,5,8,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,1,2,8,5,6,4,3]=>[3,4,6,5,8,2,1,7]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [2,3,5,8,4,6,7,1]=>[1,7,6,4,8,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [3,5,2,8,4,6,7,1]=>[1,7,6,4,8,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [3,4,5,8,2,6,7,1]=>[1,7,6,2,8,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,4,2,8,3,6,7,1]=>[1,7,6,3,8,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,3,4,8,2,6,7,1]=>[1,7,6,2,8,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,5,4,8,3,6,7,1]=>[1,7,6,3,8,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,3,2,5,8,4,7,1]=>[1,7,4,8,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,1,8,3,5,4,7,2]=>[2,7,4,5,3,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,4,8,3,2,6,7,1]=>[1,7,6,2,3,8,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,8,2,3,4,6,7,1]=>[1,7,6,4,3,2,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [7,2,5,6,4,1,8,3]=>[3,8,1,4,6,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,2,1,7,8,5,4,3]=>[3,4,5,8,7,1,2,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [7,2,5,1,4,6,8,3]=>[3,8,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,4,6,8,3,2,1,5]=>[5,1,2,3,8,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [1,5,8,6,3,7,2,4]=>[4,2,7,3,6,8,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,1,2,7,3,5,4,8]=>[8,4,5,3,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,2,7,1,6,8]=>[8,6,1,7,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,7,8,2,4,6,5]=>[5,6,4,2,8,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,4,5,2,7,1,8,6]=>[6,8,1,7,2,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,7,6,8,4,2,5]=>[5,2,4,8,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,5,7,6,3,2,8,4]=>[4,8,2,3,6,7,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [3,8,2,4,7,6,1,5]=>[5,1,6,7,4,2,8,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [8,4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,5,2,1,4,3,8,6]=>[6,8,3,4,1,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,7,5,2,8,6]=>[6,8,2,5,7,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,5,2,8,6,1,7]=>[7,1,6,8,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,5,2,8,1,6,7]=>[7,6,1,8,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,5,2,8,6,7,1]=>[1,7,6,8,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [3,4,5,2,6,8,1,7]=>[7,1,8,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,5,2,1,8,6,7]=>[7,6,8,1,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,6,4,8,3,1,2,5]=>[5,2,1,3,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,4,8,5,6,1,2,3]=>[3,2,1,6,5,8,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,3,2]=>3 [6,8,2,5,1,3,7,4]=>[4,7,3,1,5,2,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,7,4,2,1,5,3,8]=>[8,3,5,1,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,1,3,6,2,8]=>[8,2,6,3,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,7,5,1,8,3,6]=>[6,3,8,1,5,7,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,6,5,3,8,2,7]=>[7,2,8,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,4,6,3,8,2,7]=>[7,2,8,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,8,6,2,1,7,5]=>[5,7,1,2,6,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,2,8,5,3,1,6,4]=>[4,6,1,3,5,8,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [3,6,8,1,7,4,2,5]=>[5,2,4,7,1,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [3,8,6,1,7,5,2,4]=>[4,2,5,7,1,6,8,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [7,6,2,8,5,1,3,4]=>[4,3,1,5,8,2,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,5,7,6,2,8,4,3]=>[3,4,8,2,6,7,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [4,7,8,5,6,2,3,1]=>[1,3,2,6,5,8,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [2,7,8,5,6,1,4,3]=>[3,4,1,6,5,8,7,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [6,7,8,4,2,1,5,3]=>[3,5,1,2,4,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [4,7,8,1,2,5,6,3]=>[3,6,5,2,1,8,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [8,6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [6,1,4,7,2,5,8,3]=>[3,8,5,2,7,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,8,3,5,4,2,1]=>[1,2,4,5,3,8,7,6]=>[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,2,1,3]=>1 [2,7,8,3,6,5,4,1]=>[1,4,5,6,3,8,7,2]=>[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [6,7,8,2,1,5,3,4]=>[4,3,5,1,2,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [8,6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6,8]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,1,2,1]=>3 [3,6,1,2,5,7,4,8]=>[8,4,7,5,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,2,7,4,1,8]=>[8,1,4,7,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,4,3,7,5,8,1]=>[1,8,5,7,3,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [5,2,3,7,8,4,1,6]=>[6,1,4,8,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,2,3,6,1,8,4,5]=>[5,4,8,1,6,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,2,7,3,6,8,4,1]=>[1,4,8,6,3,7,2,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,5,6,7,3,8,4,1]=>[1,4,8,3,7,6,5,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [7,5,6,1,2,8,3,4]=>[4,3,8,2,1,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,1,5,8,6,2,7,3]=>[3,7,2,6,8,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,4,6,5,7,1,2,8]=>[8,2,1,7,5,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,5,6,3,1,8]=>[8,1,3,6,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,6,3,4,2,8]=>[8,2,4,3,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [2,6,7,5,8,1,4,3]=>[3,4,1,8,5,7,6,2]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [2,6,7,5,8,3,4,1]=>[1,4,3,8,5,7,6,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [2,5,8,7,6,3,4,1]=>[1,4,3,6,7,8,5,2]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,3,2,1,1]=>1 [4,5,8,7,6,2,3,1]=>[1,3,2,6,7,8,5,4]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>1 [7,4,8,2,1,5,6,3]=>[3,6,5,1,2,8,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,3,2,4,1,6,5,8]=>[8,5,6,1,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [5,4,2,7,1,6,3,8]=>[8,3,6,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,7,8,5,1,4]=>[4,1,5,8,7,6,3,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [8,3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [2,4,7,8,6,3,5,1]=>[1,5,3,6,8,7,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [8,2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2,8]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [6,5,1,2,8,3,4,7]=>[7,4,3,8,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,2,8,3,7,1,5]=>[5,1,7,3,8,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,7,4,8,6,1,2,5]=>[5,2,1,6,8,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,8,2,5,6,3,1,4]=>[4,1,3,6,5,2,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [5,1,2,8,3,7,4,6]=>[6,4,7,3,8,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,6,4,2,8,1,5,7]=>[7,5,1,8,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,1,8,3,7,4,6]=>[6,4,7,3,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,8,4,6,7,3,5]=>[5,3,7,6,4,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,2,8,4,6,1,3,5]=>[5,3,1,6,4,8,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [1,7,8,4,6,2,3,5]=>[5,3,2,6,4,8,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,1,8,4,6,2,3,5]=>[5,3,2,6,4,8,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [5,8,6,1,4,7,2,3]=>[3,2,7,4,1,6,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [8,1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [4,8,6,1,5,7,2,3]=>[3,2,7,5,1,6,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,1,6,2,5,7,8,3]=>[3,8,7,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,3,7,2,4,8,6]=>[6,8,4,2,7,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,8,2,5,7,1,6]=>[6,1,7,5,2,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [7,1,3,4,6,2,8,5]=>[5,8,2,6,4,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,3,4,6,2,8,5]=>[5,8,2,6,4,3,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,7,2,8,5,3,1,6]=>[6,1,3,5,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,8,5,1,3,4,7,6]=>[6,7,4,3,1,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,7,1,3,6,8,2,4]=>[4,2,8,6,3,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,2,8,4,7,1,3]=>[3,1,7,4,8,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [7,8,1,3,5,4,2,6]=>[6,2,4,5,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [4,7,1,6,8,3,5,2]=>[2,5,3,8,6,1,7,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,2,1,5,3,8,7,6]=>[6,7,8,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [8,7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [7,1,8,4,2,5,3,6]=>[6,3,5,2,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,4,8,7,5,2,6,3]=>[3,6,2,5,7,8,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [1,4,7,8,5,3,6,2]=>[2,6,3,5,8,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,1,8,6,5,7,3,2]=>[2,3,7,5,6,8,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [1,5,6,4,2,3,7,8]=>[8,7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,6,8,4,2,1]=>[1,2,4,8,6,3,7,5]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [8,7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [5,8,7,4,2,1,3,6]=>[6,3,1,2,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,2,1,3,8,6,4,7]=>[7,4,6,8,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,5,2,7,8,6,4]=>[4,6,8,7,2,5,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,2,1,3,8,7,4,5]=>[5,4,7,8,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,8,7,3,2,5,4,6]=>[6,4,5,2,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,2,5,4,8,7,3,6]=>[6,3,7,8,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,2,4,8,6,3,5,7]=>[7,5,3,6,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,4,1,8,6,3,5]=>[5,3,6,8,1,4,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6,8]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,2,3,1]=>2 [1,6,3,5,8,4,2,7]=>[7,2,4,8,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,6,3,2,8,4,7]=>[7,4,8,2,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,3,2,7,8,4,6]=>[6,4,8,7,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,1,8,6,2,3,7,5]=>[5,7,3,2,6,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,8,6,3,2,7,5,1]=>[1,5,7,2,3,6,8,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [1,7,6,4,3,8,5,2]=>[2,5,8,3,4,6,7,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [6,8,5,2,1,7,4,3]=>[3,4,7,1,2,5,8,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [5,3,7,2,6,4,1,8]=>[8,1,4,6,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,5,3,4,1,8]=>[8,1,4,3,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,4,5,3,1,8]=>[8,1,3,5,4,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,7,2,3,5,1,8]=>[8,1,5,3,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,4,3,5,1,8]=>[8,1,5,3,4,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,3,5,4,1,8]=>[8,1,4,5,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [4,6,3,2,8,1,7,5]=>[5,7,1,8,2,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,8,4,3,1,5,6,2]=>[2,6,5,1,3,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [8,5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7,8]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [8,7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7,8]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [8,3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,8,4,3,1,5,2,6]=>[6,2,5,1,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7,8]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [4,7,5,8,6,1,3,2]=>[2,3,1,6,8,5,7,4]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [6,5,7,3,8,4,1,2]=>[2,1,4,8,3,7,5,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,5,6,1,3,4,2,8]=>[8,2,4,3,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,8,1,3,4,2,6]=>[6,2,4,3,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,8,5,1,3,4,2,6]=>[6,2,4,3,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [5,7,8,3,4,6,1,2]=>[2,1,6,4,3,8,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [7,5,1,3,4,2,6,8]=>[8,6,2,4,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,3,4,2,8,6]=>[6,8,2,4,3,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,3,5,6,4,8,1,2]=>[2,1,8,4,6,5,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [1,7,3,8,2,5,6,4]=>[4,6,5,2,8,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,5,3,7,8,4,6,2]=>[2,6,4,8,7,3,5,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,5,7,3,8,2,6,4]=>[4,6,2,8,3,7,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,1,5,3,6,2,4,8]=>[8,4,2,6,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,5,8,4,2,6]=>[6,2,4,8,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,7,5,8,6,2,4]=>[4,2,6,8,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,7,8,5,3,6,2,4]=>[4,2,6,3,5,8,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,7,5,8,3,4,2,6]=>[6,2,4,3,8,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,1,5,6,3,4,2,8]=>[8,2,4,3,6,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,6,4,1,2,8]=>[8,2,1,4,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,8,4,1,2,6]=>[6,2,1,4,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,5,6,8,1,3,4,2]=>[2,4,3,1,8,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [5,3,4,7,8,1,2,6]=>[6,2,1,8,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,7,6,8,1,2,4]=>[4,2,1,8,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,7,1,2,5,8,4,6]=>[6,4,8,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,7,5,8,4,6]=>[6,4,8,5,7,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,5,7,8,6,4]=>[4,6,8,7,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,3,1,5,4,6,2,8]=>[8,2,6,4,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,1,2,6,4,8]=>[8,4,6,2,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,2,8,5,6,4]=>[4,6,5,8,2,1,7,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [5,3,1,7,4,6,8,2]=>[2,8,6,4,7,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,7,1,2,6,8,4]=>[4,8,6,2,1,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,4,8,3,5,6,1,2]=>[2,1,6,5,3,8,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [5,7,6,4,2,3,1,8]=>[8,1,3,2,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,8,2,5,6,1,3]=>[3,1,6,5,2,8,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [3,4,5,8,1,6,7,2]=>[2,7,6,1,8,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,8,7,4,2,1,5,3]=>[3,5,1,2,4,7,8,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>3 [4,3,2,7,8,6,1,5]=>[5,1,6,8,7,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,6,8,4,7,3,1,2]=>[2,1,3,7,4,8,6,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>2 [7,3,5,4,2,8,1,6]=>[6,1,8,2,4,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,5,2,4,3,8,1,6]=>[6,1,8,3,4,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,8,1,5,6,4,7]=>[7,4,6,5,1,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,8,1,2,6,7,3]=>[3,7,6,2,1,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,8,1,2,3,6,7,5]=>[5,7,6,3,2,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,1,5,8,2,6,7,3]=>[3,7,6,2,8,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,1,8,2,4,6,7,3]=>[3,7,6,4,2,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,5,1,8,2,6,7,4]=>[4,7,6,2,8,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,1,8,5,3,7,4]=>[4,7,3,5,8,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,2,3,8,1,7,4,6]=>[6,4,7,1,8,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,3,5,7,1,6,4,8]=>[8,4,6,1,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,8,2,4,6,7]=>[7,6,4,2,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6,8]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>3 [8,6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [2,7,1,8,6,3,5,4]=>[4,5,3,6,8,1,7,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [5,7,6,1,3,2,8,4]=>[4,8,2,3,1,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,7,3,2,6,1,4,8]=>[8,4,1,6,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1,8]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [2,7,1,6,4,8,5,3]=>[3,5,8,4,6,1,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [8,6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6,8]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,2,3,1]=>1 [3,5,4,6,1,7,8,2]=>[2,8,7,1,6,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,5,1,8,3,7,2]=>[2,7,3,8,1,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [8,1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [2,7,1,5,6,4,3,8]=>[8,3,4,6,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,1,8,6,2,3]=>[3,2,6,8,1,5,7,4]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [8,4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,4,5,2,8,3,1,6]=>[6,1,3,8,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6,8]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,1,1,2,1]=>1 [5,4,7,2,8,6,1,3]=>[3,1,6,8,2,7,4,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [8,5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [3,5,6,4,1,7,2,8]=>[8,2,7,1,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,1,7,4,3,8]=>[8,3,4,7,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,8,6,5,4,3]=>[3,4,5,6,8,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,2]=>3 [3,7,6,1,8,5,4,2]=>[2,4,5,8,1,6,7,3]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [10,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [6,2,8,3,1,4,5,7]=>[7,5,4,1,3,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [9,7,5,3,1,2,4,6,8,10]=>[10,8,6,4,2,1,3,5,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,5,3,2,8,6,7,4]=>[4,7,6,8,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,7,8,5,6,3,2,4]=>[4,2,3,6,5,8,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,8,5,6,3,2,7,4]=>[4,7,2,3,6,5,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,8,4,5,6,7,2,3]=>[3,2,7,6,5,4,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,2,8,6,3,4,5,7]=>[7,5,4,3,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,7,8,4,3,5,6]=>[6,5,3,4,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,6,7,8,3,4,2,5]=>[5,2,4,3,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [1,7,8,5,6,2,3,4]=>[4,3,2,6,5,8,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,7,3,5,6,2,8,4]=>[4,8,2,6,5,3,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,8,3,4,2,5,6]=>[6,5,2,4,3,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,7,4,5,2,3,8,6]=>[6,8,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,7,8,4,5,2,3,6]=>[6,3,2,5,4,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,8,7,2,3,4,1,5]=>[5,1,4,3,2,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [8,2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,4,2,7,8,5,1,6]=>[6,1,5,8,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,8,7,3,2,5,1,6]=>[6,1,5,2,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,8,4,2,6,7,3,1]=>[1,3,7,6,2,4,8,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [5,3,8,1,6,7,4,2]=>[2,4,7,6,1,8,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [1,4,3,2,8,5,7,6]=>[6,7,5,8,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,1,8,2,6,4,7,3]=>[3,7,4,6,2,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,1,8,3,6,7,4,2]=>[2,4,7,6,3,8,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [5,2,8,3,6,7,4,1]=>[1,4,7,6,3,8,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [3,1,8,4,6,2,7,5]=>[5,7,2,6,4,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,8,7,6,4,3,5,2]=>[2,5,3,4,6,7,8,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [3,1,7,5,6,8,4,2]=>[2,4,8,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,1,8,7,5,3,4,2]=>[2,4,3,5,7,8,1,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>2 [6,1,8,7,5,4,2,3]=>[3,2,4,5,7,8,1,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>3 [8,3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,8,7,3,2,4,1,5]=>[5,1,4,2,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [3,2,4,7,5,8,1,6]=>[6,1,8,5,7,4,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,8,7,6,5,3,1,4]=>[4,1,3,5,6,7,8,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [2,8,7,6,4,5,1,3]=>[3,1,5,4,6,7,8,2]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [3,8,7,6,4,2,5,1]=>[1,5,2,4,6,7,8,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [4,8,7,6,2,5,1,3]=>[3,1,5,2,6,7,8,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [4,8,7,6,3,1,5,2]=>[2,5,1,3,6,7,8,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [3,5,2,4,7,6,8,1]=>[1,8,6,7,4,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,2,6,4,7,8,1]=>[1,8,7,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,2,6,7,4,8,1]=>[1,8,4,7,6,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,2,7,6,4,8,1]=>[1,8,4,6,7,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,3,5,2,8,4,6,1]=>[1,6,4,8,2,5,3,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,2,5,7,4,6,8,1]=>[1,8,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,7,5,2,4,8,6,1]=>[1,6,8,4,2,5,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,4,7,6,8,2,5,1]=>[1,5,2,8,6,7,4,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [5,2,8,4,1,3,6,7]=>[7,6,3,1,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,8,5,2,1,4,6,7]=>[7,6,4,1,2,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [8,2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [2,1,3,4,8,5,7,6]=>[6,7,5,8,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,2,3,4,5,6,9,10,7,8]=>[8,7,10,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,2]=>8 [5,7,1,2,6,8,3,4]=>[4,3,8,6,2,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,7,4,3,1,8,5,6]=>[6,5,8,1,3,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,4,6,8,3,1,7]=>[7,1,3,8,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,4,6,5,8,2,1,3]=>[3,1,2,8,5,6,4,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [8,6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6,8]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [1,6,2,5,8,7,4,3]=>[3,4,7,8,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [7,3,1,8,5,4,6,2]=>[2,6,4,5,8,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [2,3,8,5,6,4,1,7]=>[7,1,4,6,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,7,4,8,6,1,3,5]=>[5,3,1,6,8,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [8,6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,8,4,3,1,6,5,7]=>[7,5,6,1,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,4,6,1,5,2,7]=>[7,2,5,1,6,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,1,8,2,6,3,7]=>[7,3,6,2,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,8,5,7,6,3,1,4]=>[4,1,3,6,7,5,8,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [8,5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5,8]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,2,2,1,1]=>2 [8,3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [4,5,8,3,6,2,7,1]=>[1,7,2,6,3,8,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,2,1,6,5,3,8,4]=>[4,8,3,5,6,1,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,6,4,1,7,8,2,3]=>[3,2,8,7,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,1,6,4,8,7,3,2]=>[2,3,7,8,4,6,1,5]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [2,4,6,7,5,1,8,3]=>[3,8,1,5,7,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,7,6,1,5,4,3,2,9]=>[9,2,3,4,5,1,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,6,4,1,5,3,2,8]=>[8,2,3,5,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [9,8,7,6,1,5,4,3,2,10]=>[10,2,3,4,5,1,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,8,7,3,5,4,2,1]=>[1,2,4,5,3,7,8,6]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,2,1,2,1]=>1 [3,1,2,8,5,7,4,6]=>[6,4,7,5,8,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,1,2,3,4,5,9,8,7]=>[7,8,9,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1]=>7 [2,1,3,8,5,7,4,6]=>[6,4,7,5,8,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,2,4,5,3,8,1,6]=>[6,1,8,3,5,4,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [5,4,1,6,3,7,8,2]=>[2,8,7,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,5,1,3,6,7,8,2]=>[2,8,7,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,7,6,3,4,8,2]=>[2,8,4,3,6,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,7,5,4,8,2,3]=>[3,2,8,4,5,7,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,7,2,1,6,8,4,5]=>[5,4,8,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,5,8,2,4,7,6,3]=>[3,6,7,4,2,8,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [5,8,1,6,4,7,3,2]=>[2,3,7,4,6,1,8,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [6,8,1,4,7,3,5,2]=>[2,5,3,7,4,1,8,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [1,6,8,2,7,4,5,3]=>[3,5,4,7,2,8,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [5,7,2,1,8,4,3,6]=>[6,3,4,8,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,7,1,6,8,3,2,4]=>[4,2,3,8,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,6,2,1,8,3,4,7]=>[7,4,3,8,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,1,7,3,8,2,5]=>[5,2,8,3,7,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,2,4,6,8,3,1,5]=>[5,1,3,8,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,2,4,7,8,1,3,5]=>[5,3,1,8,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,7,4,8,6,1,5,3]=>[3,5,1,6,8,4,7,2]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [2,4,8,6,5,7,3,1]=>[1,3,7,5,6,8,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [3,7,8,6,4,2,5,1]=>[1,5,2,4,6,8,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [4,5,7,3,6,8,1,2]=>[2,1,8,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,4,7,8,6,5,1,2]=>[2,1,5,6,8,7,4,3]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [2,3,7,6,5,1,4,8]=>[8,4,1,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,5,7,1,4,8]=>[8,4,1,7,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,1,2,5,6,4,3]=>[3,4,6,5,2,1,8,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,1,2,2]=>3 [3,8,2,4,5,1,6,7]=>[7,6,1,5,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,6,2,4,1,5,7,8]=>[8,7,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,1,4,8,5,7,6]=>[6,7,5,8,4,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,2,6,1,5,8,7,3]=>[3,7,8,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [3,1,8,5,7,6,4,2]=>[2,4,6,7,5,8,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,2,2,1,1]=>2 [3,8,6,2,5,1,4,7]=>[7,4,1,5,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,8,7,5,1,3,2]=>[2,3,1,5,7,8,4,6]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,2,2,1]=>2 [6,2,8,7,4,1,3,5]=>[5,3,1,4,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [6,2,5,8,7,1,4,3]=>[3,4,1,7,8,5,2,6]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [2,4,8,6,5,1,3,7]=>[7,3,1,5,6,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,5,7,6,2,8,4,1]=>[1,4,8,2,6,7,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,5,7,6,1,8,3,4]=>[4,3,8,1,6,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,1,4,7,3,8,6,2]=>[2,6,8,3,7,4,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [2,5,3,8,7,6,4,1]=>[1,4,6,7,8,3,5,2]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,3,2,1,1]=>1 [1,5,3,2,8,7,6,4]=>[4,6,7,8,2,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [6,2,4,1,8,7,5,3]=>[3,5,7,8,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [6,3,1,8,7,4,2,5]=>[5,2,4,7,8,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [6,3,5,2,1,8,7,4]=>[4,7,8,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [6,2,5,1,4,8,7,3]=>[3,7,8,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,8,4,1,3,7,6,5]=>[5,6,7,3,1,4,8,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,7,1,3,6,5,2]=>[2,5,6,3,1,7,8,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [4,2,7,3,8,6,5,1]=>[1,5,6,8,3,7,2,4]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [3,1,8,6,2,5,4,7]=>[7,4,5,2,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,7,1,8,3,6,5,4]=>[4,5,6,3,8,1,7,2]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [5,1,2,8,6,4,3,7]=>[7,3,4,6,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,3,8,7,6,4,1]=>[1,4,6,7,8,3,2,5]=>[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,3,2,1,1]=>1 [2,8,1,3,7,6,4,5]=>[5,4,6,7,3,1,8,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,1,3,5,8,7,6,2]=>[2,6,7,8,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [3,4,7,5,8,1,2,6]=>[6,2,1,8,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,8,3,4,1,5,6]=>[6,5,1,4,3,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,8,6,7,5,4,3,1]=>[1,3,4,5,7,6,8,2]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,1,1,2,1]=>1 [8,1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1,8]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>2 [2,6,5,7,3,8,4,1]=>[1,4,8,3,7,5,6,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [6,8,2,7,4,1,5,3]=>[3,5,1,4,7,2,8,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [6,1,7,8,5,3,2,4]=>[4,2,3,5,8,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,1,7,4,2,5,8,3]=>[3,8,5,2,4,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,8,3,1,5,7,6,2]=>[2,6,7,5,1,3,8,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [5,3,8,2,7,1,6,4]=>[4,6,1,7,2,8,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,3,4,8,2,7,1,6]=>[6,1,7,2,8,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,7,1,5,3,4,8,2]=>[2,8,4,3,5,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,4,7,1,6,8,2]=>[2,8,6,1,7,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,5,3,4,6,8,2]=>[2,8,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2,8]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [8,3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,1,5,2,6,3,4,8]=>[8,4,3,6,2,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,7,1,5,2,6,4]=>[4,6,2,5,1,7,8,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,6,5,2,8,7,1,4]=>[4,1,7,8,2,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,6,7,1,8,4,5,2]=>[2,5,4,8,1,7,6,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [3,7,1,8,4,6,5,2]=>[2,5,6,4,8,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [6,8,3,4,7,1,5,2]=>[2,5,1,7,4,3,8,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [3,4,7,1,6,5,2,8]=>[8,2,5,6,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,7,1,5,2,8]=>[8,2,5,1,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6,8]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>2 [3,7,1,6,4,8,5,2]=>[2,5,8,4,6,1,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [3,6,7,1,4,5,2,8]=>[8,2,5,4,1,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,8,6,7,1,4]=>[4,1,7,6,8,2,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,6,8,7,1,4,5,2]=>[2,5,4,1,7,8,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [2,5,4,6,7,8,1,3]=>[3,1,8,7,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,3,7,6,5,8,1,4]=>[4,1,8,5,6,7,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,3,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>2 [6,7,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,7,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,8,9,5,4,3,2,1,6]=>[6,1,2,3,4,5,9,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,3]=>6 [7,8,9,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,9,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,2,5,3,6,4,1,8]=>[8,1,4,6,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,3,7,4,1,8]=>[8,1,4,7,3,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,3,7,5,1,8]=>[8,1,5,7,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,3,6,4,1,8]=>[8,1,4,6,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [5,2,8,3,6,4,1,7]=>[7,1,4,6,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,4,7,3,6,5,2,8]=>[8,2,5,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,4,8,5,3,7]=>[7,3,5,8,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,1,4,8,6,3,7]=>[7,3,6,8,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,1,5,8,6,4,7]=>[7,4,6,8,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,8,3,7,5,1,6]=>[6,1,5,7,3,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,2,8,3,7,4,1,6]=>[6,1,4,7,3,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [7,3,1,4,8,5,2,6]=>[6,2,5,8,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,7,4,8,5,2,6]=>[6,2,5,8,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [5,2,6,3,8,4,1,7]=>[7,1,4,8,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,5,3,8,4,1,7]=>[7,1,4,8,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,5,4,8,6,2,7]=>[7,2,6,8,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,2,4,3,8,5,1,6]=>[6,1,5,8,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,2,4,3,8,5,1,7]=>[7,1,5,8,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,4,3,8,6,1,7]=>[7,1,6,8,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,2,5,3,1,6,4,8]=>[8,4,6,1,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,4,1,6,5,8]=>[8,5,6,1,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,3,1,6,4,8]=>[8,4,6,1,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,5,3,7,4,8]=>[8,4,7,3,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,8,4,1,5,3,7]=>[7,3,5,1,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,5,2,4,8,1,7]=>[7,1,8,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,2,8,7,4,3,6]=>[6,3,4,7,8,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,2,7,1,4,3,6]=>[6,3,4,1,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [7,5,1,2,6,4,3,8]=>[8,3,4,6,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,1,6,3,2,4,5]=>[5,4,2,3,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [7,3,6,4,1,2,8,5]=>[5,8,2,1,4,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,5,8,7,6,1,4]=>[4,1,6,7,8,5,3,2]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [7,3,5,1,4,6,2,8]=>[8,2,6,4,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,8,6,4,3,7]=>[7,3,4,6,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,6,5,8,4,3,7]=>[7,3,4,8,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,1,5,3,2,6,8,4]=>[4,8,6,2,3,5,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,7,6,5,3,2,1,4,9]=>[9,4,1,2,3,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,5,4,3,2,1,6,9]=>[9,6,1,2,3,4,5,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,8,7,6,5,4,2,1,3,10]=>[10,3,1,2,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,8,7,6,5,3,2,1,4,10]=>[10,4,1,2,3,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,8,7,5,4,3,2,1,6,10]=>[10,6,1,2,3,4,5,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,8,6,5,4,3,2,1,7,10]=>[10,7,1,2,3,4,5,6,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,2,3,5,8,7,4,1]=>[1,4,7,8,5,3,2,6]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [7,3,5,2,1,4,8,6]=>[6,8,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,6,3,8,7,4,5,1]=>[1,5,4,7,8,3,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [6,4,5,8,7,3,2,1]=>[1,2,3,7,8,5,4,6]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,4,1]=>1 [1,8,5,2,4,7,3,6]=>[6,3,7,4,2,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,5,1,7,4,8,6,3]=>[3,6,8,4,7,1,5,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [8,6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6,8]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [3,2,1,7,8,5,4,6]=>[6,4,5,8,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,4,3,8,6,5,2,7]=>[7,2,5,6,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6,8]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [1,7,6,3,2,4,8,5]=>[5,8,4,2,3,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,8,2,5,1,4,3]=>[3,4,1,5,2,8,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [7,4,8,6,2,3,5,1]=>[1,5,3,2,6,8,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [2,4,5,8,6,1,3,7]=>[7,3,1,6,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,7,8,1,5,6,2,3]=>[3,2,6,5,1,8,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [3,6,7,1,8,4,2,5]=>[5,2,4,8,1,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,3,7,5,1,6,4,8]=>[8,4,6,1,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,2,8,3,5,4]=>[4,5,3,8,2,7,6,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,3,8,2,7,4,5,6]=>[6,5,4,7,2,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [7,1,4,3,8,5,6,2]=>[2,6,5,8,3,4,1,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [3,4,1,8,5,7,2,6]=>[6,2,7,5,8,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,1,5,8,6,2,7]=>[7,2,6,8,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,2,7,8,3,4,1]=>[1,4,3,8,7,2,6,5]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [7,2,5,8,1,6,3,4]=>[4,3,6,1,8,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,4,8,1,5,7,2,3]=>[3,2,7,5,1,8,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,2,5,1,4,7,8,3]=>[3,8,7,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,8,2,3,7,6,4]=>[4,6,7,3,2,8,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,2,1,8,4,6,7,3]=>[3,7,6,4,8,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,2,3,8,4,5,7,1]=>[1,7,5,4,8,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,6,1,3,4,8,7,5]=>[5,7,8,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [6,8,7,9,5,4,3,2,1]=>[1,2,3,4,5,9,7,8,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,4]=>1 [5,8,7,6,9,4,3,2,1]=>[1,2,3,4,9,6,7,8,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,5]=>1 [4,8,7,6,5,9,3,2,1]=>[1,2,3,9,5,6,7,8,4]=>[1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,6]=>1 [3,8,7,6,5,4,9,2,1]=>[1,2,9,4,5,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,7]=>1 [2,8,7,6,5,4,3,9,1]=>[1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [1,2,8,4,6,3,5,7]=>[7,5,3,6,4,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,1,5,4,7,3,8]=>[8,3,7,4,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,8,5,4,6,3,7]=>[7,3,6,4,5,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,3,6,8,4,5,7,2]=>[2,7,5,4,8,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [1,2,8,4,6,3,7,5]=>[5,7,3,6,4,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,6,3,5,7,8,1,2]=>[2,1,8,7,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [2,7,6,5,1,4,8,3]=>[3,8,4,1,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,7,4,8,1,3,6,5]=>[5,6,3,1,8,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,3,6,8,4,1,7,5]=>[5,7,1,4,8,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,2,6,8,4,7,5,3]=>[3,5,7,4,8,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,7,2,8,6,3,5,4]=>[4,5,3,6,8,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [2,3,8,5,4,7,1,6]=>[6,1,7,4,5,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,2,8,4,7,3,5,6]=>[6,5,3,7,4,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [2,6,1,4,8,3,7,5]=>[5,7,3,8,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,7,6,5,2,1,4,8]=>[8,4,1,2,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,1,4,8,7,3]=>[3,7,8,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,3,5,8,7,1,6,4]=>[4,6,1,7,8,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,5,7,6,1,8,2,4]=>[4,2,8,1,6,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,7,3,1,2,8,4]=>[4,8,2,1,3,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,8,2,6,7,1,4]=>[4,1,7,6,2,8,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [8,3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,6,1,3,8,7,4,2]=>[2,4,7,8,3,1,6,5]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [1,8,5,6,2,7,4,3]=>[3,4,7,2,6,5,8,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [3,7,2,4,6,1,5,8]=>[8,5,1,6,4,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,2,4,1,5,6,7]=>[7,6,5,1,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [9,10,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,10,9]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,10]=>1 [4,2,7,6,1,8,5,3]=>[3,5,8,1,6,7,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,3,2,1,8,5,4,6]=>[6,4,5,8,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,3,2,1,6,4,8,5]=>[5,8,4,6,1,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,5,2,1,8,4,7,6]=>[6,7,4,8,1,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,6,5,2,1,8,4,7]=>[7,4,8,1,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,8,4,2,5,1,7]=>[7,1,5,2,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,4,7,3,2,1,5,8]=>[8,5,1,2,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,5,1,7,4,8]=>[8,4,7,1,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,7,2,1,6,8]=>[8,6,1,2,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,8,2,1,5,7,6]=>[6,7,5,1,2,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,2,8,1,6,7,5]=>[5,7,6,1,8,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,8,3,4,7,2,1,6]=>[6,1,2,7,4,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,5,2,7,3,4,1]=>[1,4,3,7,2,5,8,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,3,1]=>1 [6,7,2,4,8,3,5,1]=>[1,5,3,8,4,2,7,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [5,4,7,8,2,3,6,1]=>[1,6,3,2,8,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,3,8,2,1,6,7,5]=>[5,7,6,1,2,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,3,2,8,1,5,7,6]=>[6,7,5,1,8,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,5,3,2,6,8,1,7]=>[7,1,8,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [9,1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1,9]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,6,1]=>2 [3,6,7,4,5,2,8,1]=>[1,8,2,5,4,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,7,4,6,2,8,1]=>[1,8,2,6,4,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,5,1,7,8,4,2]=>[2,4,8,7,1,5,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,3,7,6,2,4,8,1]=>[1,8,4,2,6,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,6,7,3,5,2,8,1]=>[1,8,2,5,3,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,7,6,4,2,8,1]=>[1,8,2,4,6,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,7,8,3,1,5,2]=>[2,5,1,3,8,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [8,4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4,8]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>2 [7,4,8,6,2,5,1,3]=>[3,1,5,2,6,8,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [6,3,1,5,7,8,4,2]=>[2,4,8,7,5,1,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [8,4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [6,1,5,3,7,8,4,2]=>[2,4,8,7,3,5,1,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,5,7,4,6,8,3,2]=>[2,3,8,6,4,7,5,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,6,7,4,8,1,3,2]=>[2,3,1,8,4,7,6,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [8,2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [1,8,2,6,4,5,7,3]=>[3,7,5,4,6,2,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,1,2,5,6,4,8,3]=>[3,8,4,6,5,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,7,6,5,8,1,4]=>[4,1,8,5,6,7,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [7,1,8,4,5,6,3,2]=>[2,3,6,5,4,8,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [1,2,3,4,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[10,1]=>10 [1,2,7,4,5,8,3,6]=>[6,3,8,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,3,2,5,8,1,4]=>[4,1,8,5,2,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,1,8,4,5,3,7,2]=>[2,7,3,5,4,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,6,2,5,1,8,7,3]=>[3,7,8,1,5,2,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,1,4,6,2,8,7,3]=>[3,7,8,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,5,8,7,4,6,3,2]=>[2,3,6,4,7,8,5,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>2 [2,8,7,5,3,6,1,4]=>[4,1,6,3,5,7,8,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,4,2,6,1,7,8,5]=>[5,8,7,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,2,6,8,1,5,4]=>[4,5,1,8,6,2,7,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,4,8,6,5,1,3,2]=>[2,3,1,5,6,8,4,7]=>[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,2,1,2]=>2 [1,6,5,3,7,4,8,2]=>[2,8,4,7,3,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,4,7,8,6,2,3]=>[3,2,6,8,7,4,5,1]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,3,1,6,8,2,5,4]=>[4,5,2,8,6,1,3,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [3,5,8,7,6,4,1,2]=>[2,1,4,6,7,8,5,3]=>[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [4,3,6,2,1,7,8,5]=>[5,8,7,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,2,1,4,7,8,5]=>[5,8,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,8,2,7,5,4,3,1]=>[1,3,4,5,7,2,8,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,1,1,2,1]=>1 [10,1,5,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,5,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [10,1,2,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [8,6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,5,2,4,3,6,8,1]=>[1,8,6,3,4,2,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,4,3,2,8,7,1,5]=>[5,1,7,8,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,6,2,4,1,5,8,3]=>[3,8,5,1,4,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,3,8,2,6,7,1,4]=>[4,1,7,6,2,8,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,2,6,4,3,5,8,1]=>[1,8,5,3,4,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,3,6,2,4,5,8,1]=>[1,8,5,4,2,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [7,6,4,1,3,2,8,5]=>[5,8,2,3,1,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,4,8,5,1,6,3]=>[3,6,1,5,8,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,2,7,6,8,5,1,3]=>[3,1,5,8,6,7,2,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,1,8,5,3,2,6,4]=>[4,6,2,3,5,8,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,1,8,2,5,6,4,3]=>[3,4,6,5,2,8,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [6,1,4,2,5,8,7,3]=>[3,7,8,5,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [7,2,3,5,8,4,1,6]=>[6,1,4,8,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,6,4,2,8,5,1,3]=>[3,1,5,8,2,4,6,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [1,7,6,4,8,5,3,2]=>[2,3,5,8,4,6,7,1]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [7,1,4,8,3,6,2,5]=>[5,2,6,3,8,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,1,8,5,7,6,2,3]=>[3,2,6,7,5,8,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [6,1,5,8,3,4,2,7]=>[7,2,4,3,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,7,5,1,3,2,4,8]=>[8,4,2,3,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,8,3,7,1,5]=>[5,1,7,3,8,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,8,4,5,1,3,6,2]=>[2,6,3,1,5,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [1,7,8,5,3,4,6,2]=>[2,6,4,3,5,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [1,5,8,3,6,4,7,2]=>[2,7,4,6,3,8,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,8,1,5,6,3,7,2]=>[2,7,3,6,5,1,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,2,6,5,3,7,4]=>[4,7,3,5,6,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,1,7,2,6,5,4]=>[4,5,6,2,7,1,8,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [8,1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [7,2,5,3,4,6,1,8]=>[8,1,6,4,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,2,5,3,1,8]=>[8,1,3,5,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,4,3,6,2,7,1]=>[1,7,2,6,3,4,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [3,8,4,6,2,5,7,1]=>[1,7,5,2,6,4,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [1,7,2,6,3,4,8,5]=>[5,8,4,3,6,2,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,5,1,6,3,2,4,8]=>[8,4,2,3,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,5,1,6,3,4,8]=>[8,4,3,6,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,6,5,4,2,3,8]=>[8,3,2,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,4,3,1,7,2,6]=>[6,2,7,1,3,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,1,7,6,3,5,8,4]=>[4,8,5,3,6,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,6,8,5,2,4,7,1]=>[1,7,4,2,5,8,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,7,8,4,3,2,6,1]=>[1,6,2,3,4,8,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [1,4,8,6,5,7,3,2]=>[2,3,7,5,6,8,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [1,3,8,4,7,2,6,5]=>[5,6,2,7,4,8,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [5,4,2,8,3,7,1,6]=>[6,1,7,3,8,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,3,1,7,6,8,4,2]=>[2,4,8,6,7,1,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [3,2,1,4,5,8,6,7]=>[7,6,8,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,7,1,3,2,8,5,4]=>[4,5,8,2,3,1,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,7,2,1,6,8,5,4]=>[4,5,8,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [5,4,3,1,7,2,8,6]=>[6,8,2,7,1,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,7,4,2,8,6,1,3]=>[3,1,6,8,2,4,7,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,4,3,7,8,2,6,1]=>[1,6,2,8,7,3,4,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [1,3,6,8,7,2,5,4]=>[4,5,2,7,8,6,3,1]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [5,7,8,6,2,4,3,1]=>[1,3,4,2,6,8,7,5]=>[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,1,2,2]=>1 [1,8,7,2,4,3,5,6]=>[6,5,3,4,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [6,2,5,1,4,7,3,8]=>[8,3,7,4,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,7,1,4,5,8]=>[8,5,4,1,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,5,1,2,4,7,8,3]=>[3,8,7,4,2,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,6,4,3,5,1,8,2]=>[2,8,1,5,3,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,5,3,8,1,4,2]=>[2,4,1,8,3,5,6,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,7,6,5,3,2,4,8]=>[8,4,2,3,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,6,5,4,1,3,8]=>[8,3,1,4,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,8,2,5,4,6,1,7]=>[7,1,6,4,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,2,3,6,4,1,7,8]=>[8,7,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [4,7,6,1,5,8,3,2]=>[2,3,8,5,1,6,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,7,6,4,2,5,8,3]=>[3,8,5,2,4,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1]=>1 [2,3,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,3,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1,1,1]=>1 [9,1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [6,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>2 [8,7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7,8]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>2 [7,9,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,9,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,1,1,1,2,1]=>2 [9,7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7,9]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,1,1,1,2,1]=>2 [9,8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>2 [6,9,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,9,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,2,1,1]=>2 [8,9,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,9,8]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,1,1,2,2]=>2 [9,8,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,8,9]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,1,1,2,1,1]=>2 [9,8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8,9]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>2 [9,7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7,9]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,1,2,2,1]=>2 [9,8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8,9]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>2 [9,8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8,9]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>2 [9,8,7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7,8,9]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>2 [9,10,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,10,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,1,1,1,2]=>2 [10,9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>2 [10,9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>2 [7,10,9,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,9,10,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,1,2,1,1]=>2 [10,9,8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8,9,10]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>2 [10,9,8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8,9,10]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>2 [9,10,7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7,10,9]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2,2]=>2 [10,9,8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8,9,10]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>2 [10,9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9,10]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>2 [2,4,3,6,5,8,7,1,9]=>[9,1,7,8,5,6,3,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,2,5,4,7,6,9,8,1,10]=>[10,1,8,9,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,3,7,2,1,8,5,6]=>[6,5,8,1,2,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,7,4,3,2,8,5,6]=>[6,5,8,2,3,4,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,3,8,6,2,5,1]=>[1,5,2,6,8,3,7,4]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [4,7,3,6,8,2,1,5]=>[5,1,2,8,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,4,7,3,8,2,1,6]=>[6,1,2,8,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,3,6,4,2,5,1,8]=>[8,1,5,2,4,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [1,3,6,8,5,7,4,2]=>[2,4,7,5,8,6,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [6,3,5,8,2,4,1,7]=>[7,1,4,2,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,3,6,2,8,5,4,1]=>[1,4,5,8,2,6,3,7]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [7,4,6,8,3,5,2,1]=>[1,2,5,3,8,6,4,7]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [4,3,5,7,2,6,1,8]=>[8,1,6,2,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,8,3,7,2,1]=>[1,2,7,3,8,6,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [1,7,2,8,5,4,3,6]=>[6,3,4,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,4,8,3,6,2,1,7]=>[7,1,2,6,3,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,7,5,2,6,4,1,8]=>[8,1,4,6,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,4,2,7,3,6,1]=>[1,6,3,7,2,4,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [6,1,3,7,2,5,8,4]=>[4,8,5,2,7,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [1,7,8,5,6,4,2,3]=>[3,2,4,6,5,8,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [8,3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,2,6,5,8,1,4,7]=>[7,4,1,8,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [3,5,8,2,7,4,1,6]=>[6,1,4,7,2,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,6,8,1,5,4,3,7]=>[7,3,4,5,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,1,7,6,3,8,4]=>[4,8,3,6,7,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,5,8,1,3,7,2,6]=>[6,2,7,3,1,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,5,3,6,8,7,2,4]=>[4,2,7,8,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [7,6,2,8,1,4,3,5]=>[5,3,4,1,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,4,3,8,5,6,2,1]=>[1,2,6,5,8,3,4,7]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [3,1,8,6,5,7,2,4]=>[4,2,7,5,6,8,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,2,7,6,4,5,8,3]=>[3,8,5,4,6,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,2,1,8,7,3,5]=>[5,3,7,8,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,2,5,8,7,4,1,3]=>[3,1,4,7,8,5,2,6]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [7,2,5,3,8,4,6,1]=>[1,6,4,8,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,7,5,2,6,1,4,8]=>[8,4,1,6,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,5,6,7,4,2,1]=>[1,2,4,7,6,5,8,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,2,3,1]=>1 [3,8,5,2,6,1,4,7]=>[7,4,1,6,2,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,6,8,1,7,4,5,2]=>[2,5,4,7,1,8,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [6,3,4,1,8,7,2,5]=>[5,2,7,8,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [5,1,7,6,2,4,8,3]=>[3,8,4,2,6,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,5,4,8,3,1,6,2]=>[2,6,1,3,8,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [7,5,6,1,8,3,2,4]=>[4,2,3,8,1,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,5,6,2,7,3,1,8]=>[8,1,3,7,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,7,1,6,2,8]=>[8,2,6,1,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [7,6,3,2,5,4,8,1]=>[1,8,4,5,2,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5,8]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,2,3,1]=>2 [2,4,5,1,8,6,3,7]=>[7,3,6,8,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,1,6,7,5,3,8]=>[8,3,5,7,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,7,1,5,2,4,8]=>[8,4,2,5,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,4,8,6,5,2,3]=>[3,2,5,6,8,4,1,7]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [1,4,5,3,8,6,7,2]=>[2,7,6,8,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,6,2,7,5,8,1,3]=>[3,1,8,5,7,2,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,3,2,5,1,8,4,6]=>[6,4,8,1,5,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,8,1,4,2,3,5,6]=>[6,5,3,2,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [6,5,2,4,8,7,1,3]=>[3,1,7,8,4,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [8,5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [5,1,2,4,3,6,8,7]=>[7,8,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,1,4,3,7,6,8]=>[8,6,7,3,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,8,7,1,5,4,6]=>[6,4,5,1,7,8,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,1,3,6,7,2,8,5]=>[5,8,2,7,6,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,8,1,6,5,2,4,3]=>[3,4,2,5,6,1,8,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>3 [7,4,8,6,5,1,2,3]=>[3,2,1,5,6,8,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [2,8,1,7,6,3,5,4]=>[4,5,3,6,7,1,8,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [3,4,8,6,5,1,2,7]=>[7,2,1,5,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,7,8,6,5,1,2,4]=>[4,2,1,5,6,8,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [5,6,8,2,7,3,1,4]=>[4,1,3,7,2,8,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [4,5,8,2,7,3,1,6]=>[6,1,3,7,2,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [7,5,4,8,3,2,1,6]=>[6,1,2,3,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,4,8,2,7,3,1,5]=>[5,1,3,7,2,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [7,8,3,1,6,4,2,5]=>[5,2,4,6,1,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [5,3,8,2,7,4,1,6]=>[6,1,4,7,2,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,8,2,7,5,1,6]=>[6,1,5,7,2,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,7,8,3,2,1,6]=>[6,1,2,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,3,4,2,6,8,1]=>[1,8,6,2,4,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,4,2,3,6,8,1]=>[1,8,6,3,2,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,7,3,2,8,1,6]=>[6,1,8,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,8,3,4,6,1,2,7]=>[7,2,1,6,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,3,8,5,1,2,7]=>[7,2,1,5,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,6,8,2,3,1,7]=>[7,1,3,2,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,6,8,4,1,2,3,7]=>[7,3,2,1,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,4,8,3,1,2,5,6]=>[6,5,2,1,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,4,7,8,2,1,3,6]=>[6,3,1,2,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,8,6,3,1,2,4,7]=>[7,4,2,1,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,1,3,7,2,6,5,8]=>[8,5,6,2,7,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,3,2,8,5,7,1]=>[1,7,5,8,2,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [1,4,3,2,6,8,5,7]=>[7,5,8,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,4,3,2,5,1,8,6]=>[6,8,1,5,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,3,7,2,6,8,1]=>[1,8,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,8,3,7,2,1,6]=>[6,1,2,7,3,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,6,8,5,2,1,7,4]=>[4,7,1,2,5,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,1,5,4,7,2,8,3]=>[3,8,2,7,4,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,3,6,5,8,2,7,4]=>[4,7,2,8,5,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,4,3,6,2,8,5,7]=>[7,5,8,2,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,6,4,1,2,8,5,3]=>[3,5,8,2,1,4,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [1,6,5,3,2,8,4,7]=>[7,4,8,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,8,3,2,7,1,6]=>[6,1,7,2,3,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,4,3,7,2,1,6,8]=>[8,6,1,2,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,7,2,1,8,4]=>[4,8,1,2,7,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,4,3,7,8,2,1,6]=>[6,1,2,8,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,4,5,6,7,8,2,9,1]=>[1,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [2,4,5,6,7,8,9,10,3,1]=>[1,3,10,9,8,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,7]=>1 [4,1,8,6,2,5,7,3]=>[3,7,5,2,6,8,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,5,3,6,7,4,8,2]=>[2,8,4,7,6,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,4,8,1,2,7,5]=>[5,7,2,1,8,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,1,2,3,5,4,8,7]=>[7,8,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,1,6,8,3,5,4,2]=>[2,4,5,3,8,6,1,7]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [2,7,1,3,4,6,8,5]=>[5,8,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,3,5,8,7,4,2]=>[2,4,7,8,5,3,1,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [3,5,8,7,4,6,2,1]=>[1,2,6,4,7,8,5,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,4,1,1]=>1 [6,8,5,7,3,4,2,1]=>[1,2,4,3,7,5,8,6]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,2,3,1]=>1 [2,4,1,8,7,6,3,5]=>[5,3,6,7,8,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,3,5,8,4,7,2,6]=>[6,2,7,4,8,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,7,2,4,1,3,6]=>[6,3,1,4,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,1,3,5,6,2,8,7]=>[7,8,2,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,4,8,7,3,5,2,1]=>[1,2,5,3,7,8,4,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,3,2,1]=>1 [8,2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,3,5,6,8,2,7,1]=>[1,7,2,8,6,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [1,7,4,3,5,2,8,6]=>[6,8,2,5,3,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,4,3,8,1,5,6]=>[6,5,1,8,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,8,2,7,6,4,1,5]=>[5,1,4,6,7,2,8,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [8,2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,1,6,8,2,7,5,4]=>[4,5,7,2,8,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [1,5,2,8,7,6,4,3]=>[3,4,6,7,8,2,5,1]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,1,2,1,1]=>3 [6,5,8,3,7,4,2,1]=>[1,2,4,7,3,8,5,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,2,3,1]=>1 [8,3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,8,1,5,6,3,2,4]=>[4,2,3,6,5,1,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [1,7,8,3,2,5,4,6]=>[6,4,5,2,3,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,8,1,3,2,5,6,4]=>[4,6,5,2,3,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,1,3,5,4,6,2]=>[2,6,4,5,3,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,8,1,3,5,2,4,6]=>[6,4,2,5,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [1,3,7,8,5,2,4,6]=>[6,4,2,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,7,8,3,5,2,6,4]=>[4,6,2,5,3,8,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,7,8,3,2,5,6,4]=>[4,6,5,2,3,8,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [3,7,8,5,4,6,1,2]=>[2,1,6,4,5,8,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [3,5,7,6,4,8,1,2]=>[2,1,8,4,6,7,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [1,3,7,8,5,4,6,2]=>[2,6,4,5,8,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,3,7,8,5,4,2,6]=>[6,2,4,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,3,7,8,2,5,4,6]=>[6,4,5,2,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,3,2,7,8,5,4,6]=>[6,4,5,8,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,7,6,8,3,2,4]=>[4,2,3,8,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,5,4,7,8,6,1,2]=>[2,1,6,8,7,4,5,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [3,5,7,6,8,4,1,2]=>[2,1,4,8,6,7,5,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,5,7,6,8,3,4,2]=>[2,4,3,8,6,7,5,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,5,7,4,6,8,1,2]=>[2,1,8,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,1,4,3,2,5,8,7]=>[7,8,5,2,3,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,4,2,1,3,6,5,8]=>[8,5,6,3,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,8,4,3,7,1,2]=>[2,1,7,3,4,8,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,7,8,4,6,5,1,2]=>[2,1,5,6,4,8,7,3]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [1,8,3,2,4,6,5,7]=>[7,5,6,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,7,3,1,5,2,4,8]=>[8,4,2,5,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,1,8,3,6,7]=>[7,6,3,8,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,6,7,2,1,8,4]=>[4,8,1,2,7,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,4,2,8,3,6,7,5]=>[5,7,6,3,8,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,2,3,8,5,4,1,6]=>[6,1,4,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,4,1,7,8,2,6,5]=>[5,6,2,8,7,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,8,3,1,4,5,6,2]=>[2,6,5,4,1,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [5,8,1,4,3,7,6,2]=>[2,6,7,3,4,1,8,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [3,7,1,5,6,4,8,2]=>[2,8,4,6,5,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,8,1,5,6,2,4,3]=>[3,4,2,6,5,1,8,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,2]=>3 [4,1,5,7,6,3,8,2]=>[2,8,3,6,7,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,2,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [1,4,7,3,2,6,5,8]=>[8,5,6,2,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,8,2,6,7,5,3]=>[3,5,7,6,2,8,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [1,7,3,2,4,5,6,8]=>[8,6,5,4,2,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,4,7,8,3,2,5]=>[5,2,3,8,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,7,3,2,4,5,8,6]=>[6,8,5,4,2,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,6,5,3,1,7,8]=>[8,7,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,3,4,1,8,7]=>[7,8,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,1,6,8,7,4,3]=>[3,4,7,8,6,1,2,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [4,7,5,2,3,1,6,8]=>[8,6,1,3,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,8,5,7,4,2,6]=>[6,2,4,7,5,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,2,3,7,5,4,6,8]=>[8,6,4,5,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,8,6,5,4,1,7]=>[7,1,4,5,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,7,4,3,1,8,5]=>[5,8,1,3,4,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,6,7,4,1,5,3]=>[3,5,1,4,7,6,8,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [6,1,8,2,5,3,4,7]=>[7,4,3,5,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,1,5,7,3,4,8]=>[8,4,3,7,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,5,2,7,4,8]=>[8,4,7,2,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,6,4,2,7,1,5]=>[5,1,7,2,4,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,6,2,1,7,5,4]=>[4,5,7,1,2,6,8,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [1,8,2,5,7,4,6,3]=>[3,6,4,7,5,2,8,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [5,2,4,8,3,1,7,6]=>[6,7,1,3,8,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,5,8,4,3,1,6,7]=>[7,6,1,3,4,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,1,8,7,2,5,6,3]=>[3,6,5,2,7,8,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [1,5,4,2,3,6,8,7]=>[7,8,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,5,2,3,4,8,7]=>[7,8,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,2,8,1,5,7,3]=>[3,7,5,1,8,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,4,1,8,2,5,7,6]=>[6,7,5,2,8,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,2,1,8,5,3,7,6]=>[6,7,3,5,8,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,5,8,7,6,4,1,3]=>[3,1,4,6,7,8,5,2]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [3,1,8,2,4,6,7,5]=>[5,7,6,4,2,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,5,2,1,7,3,4,8]=>[8,4,3,7,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,8,7,3,1,4]=>[4,1,3,7,8,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [2,7,8,6,3,4,1,5]=>[5,1,4,3,6,8,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [3,1,2,8,6,7,5,4]=>[4,5,7,6,8,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [3,1,2,4,8,6,7,5]=>[5,7,6,8,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,1,2,5,8,7,4,6]=>[6,4,7,8,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,5,2,1,8,4,7,3]=>[3,7,4,8,1,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,6,2,4,3,8,1,7]=>[7,1,8,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,7,5,2,8,1,4,6]=>[6,4,1,8,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,1,3,6,2,8,5]=>[5,8,2,6,3,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,4,7,3,2,8,6]=>[6,8,2,3,7,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,5,4,8,6,1,7]=>[7,1,6,8,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,6,4,7,5,1,8]=>[8,1,5,7,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,7,4,8,1,6]=>[6,1,8,4,7,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,7,6,1,5,8,4]=>[4,8,5,1,6,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [3,7,6,1,2,5,8,4]=>[4,8,5,2,1,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,1,6,8,5,3,2]=>[2,3,5,8,6,1,7,4]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [4,1,8,6,3,5,2,7]=>[7,2,5,3,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,1,5,8,6,2,3,7]=>[7,3,2,6,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,4,6,2,8,7,1]=>[1,7,8,2,6,4,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,4,8,6,3,7,1,2]=>[2,1,7,3,6,8,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,7,3,4,8,2,6,1]=>[1,6,2,8,4,3,7,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,6,4,2,7,8,3,1]=>[1,3,8,7,2,4,6,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,5,2,3,7,4,1,8]=>[8,1,4,7,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,3,1,8,7,4]=>[4,7,8,1,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [6,5,3,7,4,1,2,8]=>[8,2,1,4,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,7,5,3,8,1,2]=>[2,1,8,3,5,7,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,7,6,4,8,3,1,2]=>[2,1,3,8,4,6,7,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,7,4,8,3,1,6,2]=>[2,6,1,3,8,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,1,4,7,5,2,8,6]=>[6,8,2,5,7,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,4,7,2,8,6,5]=>[5,6,8,2,7,4,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [3,1,5,4,8,6,2,7]=>[7,2,6,8,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,6,3,7,4,1,8]=>[8,1,4,7,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,7,5,6,2,8]=>[8,2,6,5,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,5,8,6,2,7]=>[7,2,6,8,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,5,1,8,7,2,6]=>[6,2,7,8,1,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,5,3,6,1,8,4,7]=>[7,4,8,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,2,1,5,7,3,8]=>[8,3,7,5,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,7,4,1,8,3]=>[3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,5,6,8,3,1,7,4]=>[4,7,1,3,8,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [7,1,4,5,3,6,2,8]=>[8,2,6,3,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,4,5,3,6,8]=>[8,6,3,5,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,4,8,2,1,7]=>[7,1,2,8,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,4,7,8,3,1,6]=>[6,1,3,8,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,6,4,8,2,1,3,7]=>[7,3,1,2,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,5,8,2,3,1,7]=>[7,1,3,2,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,6,7,8,1,5,3]=>[3,5,1,8,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,7,8,2,5,1,4,6]=>[6,4,1,5,2,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,5,3,7,8,1,4,6]=>[6,4,1,8,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,6,3,8,1,2,4,7]=>[7,4,2,1,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,2,7,5,8,1,6]=>[6,1,8,5,7,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,8,5,3,2,6,1,7]=>[7,1,6,2,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,4,5,3,6,1,7]=>[7,1,6,3,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,7,3,8,2,1,6,5]=>[5,6,1,2,8,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,8,4,1,3,6,5,2]=>[2,5,6,3,1,4,8,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [2,6,3,7,8,1,5,4]=>[4,5,1,8,7,3,6,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,4,7,3,8,5,2,6]=>[6,2,5,8,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [1,4,8,5,3,2,6,7]=>[7,6,2,3,5,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2,8]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [2,7,4,3,8,5,1,6]=>[6,1,5,8,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,2,1,7,8,4,3,6]=>[6,3,4,8,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,4,7,6,3,8,5,1]=>[1,5,8,3,6,7,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,3,8,7,1,5,2,4]=>[4,2,5,1,7,8,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [6,8,2,7,3,1,5,4]=>[4,5,1,3,7,2,8,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [7,6,1,2,8,5,3,4]=>[4,3,5,8,2,1,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,3,1,8,4,6,5,2]=>[2,5,6,4,8,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [7,2,4,8,3,6,5,1]=>[1,5,6,3,8,4,2,7]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [8,2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,1,5,8,3,6,7,2]=>[2,7,6,3,8,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,4,7,2,1,5,8,6]=>[6,8,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,2,1,8,7,4,6,3]=>[3,6,4,7,8,1,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,2,5,8,3,6,7,1]=>[1,7,6,3,8,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,1,5,6,8,2,7,3]=>[3,7,2,8,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,7,8,3,1,2,5,6]=>[6,5,2,1,3,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,7,8,2,4,1,3,6]=>[6,3,1,4,2,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,8,2,3,6,4,7,1]=>[1,7,4,6,3,2,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,5,7,6,8,2,3,1]=>[1,3,2,8,6,7,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [4,8,5,3,1,6,7,2]=>[2,7,6,1,3,5,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,2,3,6,8,4,7,1]=>[1,7,4,8,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,2,1,7,8,4,3,5]=>[5,3,4,8,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,2,1,3,8,4,7,6]=>[6,7,4,8,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,7,8,4,1,6,3]=>[3,6,1,4,8,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,2,8,6,4,1,7,3]=>[3,7,1,4,6,8,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,7,2,6,4,8,1,3]=>[3,1,8,4,6,2,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,2,3,4,7,8,5,1]=>[1,5,8,7,4,3,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,2,1,3,7,5,8,4]=>[4,8,5,7,3,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,3,7,8,1,4,5]=>[5,4,1,8,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,4,3,2,5,8,1,6]=>[6,1,8,5,2,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,3,5,8,4,2,7,6]=>[6,7,2,4,8,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,7,6,2,3,5,4,8]=>[8,4,5,3,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,5,8,6,4,7]=>[7,4,6,8,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,8,2,1,4,5,6]=>[6,5,4,1,2,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,3,5,8,1,7,4,2]=>[2,4,7,1,8,5,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [3,5,4,8,6,1,7,2]=>[2,7,1,6,8,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,5,2,3,8,4,6,1]=>[1,6,4,8,3,2,5,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,7,6,1,2,8,3,4]=>[4,3,8,2,1,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,4,6,5,1,8,2,3]=>[3,2,8,1,5,6,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,8,4,1,7,3,6,5]=>[5,6,3,7,1,4,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [7,1,3,2,6,8,4,5]=>[5,4,8,6,2,3,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,5,2,8,1,6,7]=>[7,6,1,8,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,7,3,8,2,4,6,5]=>[5,6,4,2,8,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,4,1,8,6,2,7,3]=>[3,7,2,6,8,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,4,6,8,1,3,2,7]=>[7,2,3,1,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,8,3,5,7,2,1]=>[1,2,7,5,3,8,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [3,5,8,2,4,1,7,6]=>[6,7,1,4,2,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [7,2,8,4,1,3,6,5]=>[5,6,3,1,4,8,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [5,8,1,2,4,3,6,7]=>[7,6,3,4,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>1 [2,7,4,6,3,5,1,8]=>[8,1,5,3,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [7,6,2,5,1,8,4,3]=>[3,4,8,1,5,2,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [4,1,5,8,3,7,2,6]=>[6,2,7,3,8,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,6,8,5,7,1,4,3]=>[3,4,1,7,5,8,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [8,4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [4,1,5,2,3,8,7,6]=>[6,7,8,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,7,6,8,3,5,2,4]=>[4,2,5,3,8,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,4,8,3,5,7,2,6]=>[6,2,7,5,3,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [7,4,6,3,5,8,2,1]=>[1,2,8,5,3,6,4,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,7,2,6,1,8,5,4]=>[4,5,8,1,6,2,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,3,5,8,2,4,7,1]=>[1,7,4,2,8,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [1,6,8,3,5,7,2,4]=>[4,2,7,5,3,8,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,4,8,6,3,7,5,2]=>[2,5,7,3,6,8,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [4,8,3,7,5,2,6,1]=>[1,6,2,5,7,3,8,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [7,5,6,2,8,4,3,1]=>[1,3,4,8,2,6,5,7]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [8,6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [5,7,6,2,8,1,4,3]=>[3,4,1,8,2,6,7,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6,8]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>3 [7,6,4,8,5,3,2,1]=>[1,2,3,5,8,4,6,7]=>[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,2,3]=>1 [7,6,5,3,8,4,2,1]=>[1,2,4,8,3,5,6,7]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [7,6,5,4,2,8,3,1]=>[1,3,8,2,4,5,6,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [8,6,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,6,8]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,2,2]=>1 [7,5,4,8,6,3,2,1]=>[1,2,3,6,8,4,5,7]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,3,2]=>1 [8,7,6,4,9,5,3,2,1]=>[1,2,3,5,9,4,6,7,8]=>[1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,1,2,4]=>1 [7,6,5,3,2,8,4,1]=>[1,4,8,2,3,5,6,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [8,7,6,5,4,2,9,3,1]=>[1,3,9,2,4,5,6,7,8]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,6]=>1 [3,2,5,4,7,6,1,10,9,8]=>[8,9,10,1,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,1,1]=>8 [3,2,5,4,1,10,9,8,7,6]=>[6,7,8,9,10,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1,1]=>6 [3,2,7,6,5,4,1,10,9,8]=>[8,9,10,1,4,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,1,1]=>8 [7,6,5,4,3,2,9,8,1,10]=>[10,1,8,9,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,2,7,4,3,5,8,6]=>[6,8,5,3,4,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,7,4,8,5,2,3,6]=>[6,3,2,5,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,4,7,5,2,8,6,3]=>[3,6,8,2,5,7,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,6,3,7,4,2,8,5]=>[5,8,2,4,7,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,4,7,5,8,6,3]=>[3,6,8,5,7,4,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,3,5,8,7,6,2,4]=>[4,2,6,7,8,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,5,2,4,3,6,8,7]=>[7,8,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,5,7,4,3,8,6]=>[6,8,3,4,7,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,3,2,6,8,7,4]=>[4,7,8,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [1,4,2,6,8,7,5,3]=>[3,5,7,8,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>3 [1,8,5,2,6,3,4,7]=>[7,4,3,6,2,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,5,7,4,2,3,8,6]=>[6,8,3,2,4,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,5,2,6,3,4,8,1]=>[1,8,4,3,6,2,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,4,8,6,7,1,2,3]=>[3,2,1,7,6,8,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>3 [8,6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [6,3,1,2,5,8,7,4]=>[4,7,8,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [8,5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [6,1,5,8,2,4,3,7]=>[7,3,4,2,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,6,5,8,2,7,1]=>[1,7,2,8,5,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,2,4,1,6,7,8,3]=>[3,8,7,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,1,6,7,5,8,2]=>[2,8,5,7,6,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,3,4,7,2,8,5]=>[5,8,2,7,4,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,3,4,7,2,1,5,8]=>[8,5,1,2,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,6,1,8,7,5]=>[5,7,8,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [5,3,6,7,2,8,4,1]=>[1,4,8,2,7,6,3,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,3,6,7,2,4,8,1]=>[1,8,4,2,7,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,6,7,2,4,1,8]=>[8,1,4,2,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,7,8,1,2,4]=>[4,2,1,8,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [8,6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [5,3,6,7,4,1,2,8]=>[8,2,1,4,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [5,8,6,1,7,4,3,2]=>[2,3,4,7,1,6,8,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,3,1]=>2 [1,4,7,5,2,3,8,6]=>[6,8,3,2,5,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,3,6,5,1,8,4]=>[4,8,1,5,6,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,5,6,4,8,1,2]=>[2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,6,8,1,3,5,4,2]=>[2,4,5,3,1,8,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [8,7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7,8]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>2 [3,5,8,6,7,1,4,2]=>[2,4,1,7,6,8,5,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [3,1,5,8,6,2,4,7]=>[7,4,2,6,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,4,6,8,1,3,7]=>[7,3,1,8,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,8,3,4,7,6,1]=>[1,6,7,4,3,8,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [2,4,3,8,7,1,6,5]=>[5,6,1,7,8,3,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,5,8,7,4,2,6,3]=>[3,6,2,4,7,8,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [6,8,7,5,4,3,1,2]=>[2,1,3,4,5,7,8,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>2 [4,5,2,6,3,8,7,1]=>[1,7,8,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,4,6,3,7,2,8,1,9]=>[9,1,8,2,7,3,6,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,4,5,8,6,2,7,1]=>[1,7,2,6,8,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,2,6,3,4,8,7,1]=>[1,7,8,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,6,4,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,4,6,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,1,8,5,4,7,2,3]=>[3,2,7,4,5,8,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,1,7,4,3,6,8,2]=>[2,8,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1,8]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>3 [4,3,7,6,8,2,1,5]=>[5,1,2,8,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [6,1,8,5,2,7,3,4]=>[4,3,7,2,5,8,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,4,2,3,7,1,8,6]=>[6,8,1,7,3,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,1,3,7,2,8,6]=>[6,8,2,7,3,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6,8]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,3,1,2,1]=>1 [6,5,8,7,2,4,3,1]=>[1,3,4,2,7,8,5,6]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,1,3,1]=>1 [4,3,6,5,8,2,1,7]=>[7,1,2,8,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,2,6,8,7,1,4,5]=>[5,4,1,7,8,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [3,8,2,7,6,1,4,5]=>[5,4,1,6,7,2,8,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,4,5,1,8,7,3,6]=>[6,3,7,8,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,7,6,8,2,1,4,5]=>[5,4,1,2,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,4,2,6,1,8,3,5]=>[5,3,8,1,6,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,8,7,2,5,6,1,4]=>[4,1,6,5,2,7,8,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,2,8,5,6,7,1,4]=>[4,1,7,6,5,8,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,3,6,2,5,8,1,4]=>[4,1,8,5,2,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,4,2,1,6,8,3,5]=>[5,3,8,6,1,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,3,1,8,5,4,2,6]=>[6,2,4,5,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,5,1,4,2,3,6,8]=>[8,6,3,2,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,6,1,2,4,5,3]=>[3,5,4,2,1,6,8,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>3 [1,5,3,4,7,8,6,2]=>[2,6,8,7,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [8,5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [7,5,1,2,4,6,8,3]=>[3,8,6,4,2,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,1,2,6,4,5,8,3]=>[3,8,5,4,6,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,8,3,6,4,5,7,2]=>[2,7,5,4,6,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [8,1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [7,1,6,2,5,3,4,8]=>[8,4,3,5,2,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1,8]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [3,1,2,8,5,6,7,4]=>[4,7,6,5,8,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,3,1,2,7,4,5,8]=>[8,5,4,7,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,4,2,3,5,8]=>[8,5,3,2,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,4,6,8,5,2]=>[2,5,8,6,4,3,7,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [7,1,8,2,5,3,4,6]=>[6,4,3,5,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,5,7,3,4,1,8,6]=>[6,8,1,4,3,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,7,2,1,6,5,8]=>[8,5,6,1,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,8,5,4,1,2,7]=>[7,2,1,4,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,8,3,5,1,4,7]=>[7,4,1,5,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,5,8,3,4,1,7,6]=>[6,7,1,4,3,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,5,8,4,2,1,7,6]=>[6,7,1,2,4,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,3,6,1,5,8,4,7]=>[7,4,8,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,7,1,6,5,8,4]=>[4,8,5,6,1,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,4,7,1,3,6,8,5]=>[5,8,6,3,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,7,8,1,3,2,6]=>[6,2,3,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,6,3,8,1,5,2,7]=>[7,2,5,1,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,7,1,4,6,3,8]=>[8,3,6,4,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,1,6,3,5,8]=>[8,5,3,6,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,7,3,1,4,6,8]=>[8,6,4,1,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,2,1,6,8,5]=>[5,8,6,1,2,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,3,2,8,1,4,6]=>[6,4,1,8,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,6,5,7,1,8,2,4]=>[4,2,8,1,7,5,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,6,5,7,1,8,4,3]=>[3,4,8,1,7,5,6,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,6,8,3,5,1,7,4]=>[4,7,1,5,3,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,4,7,8,1,3,6,2]=>[2,6,3,1,8,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [2,5,7,1,4,6,8,3]=>[3,8,6,4,1,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,7,1,6,3,8,5]=>[5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,5,8,1,7,4,3]=>[3,4,7,1,8,5,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [5,3,6,4,7,1,2,8]=>[8,2,1,7,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,4,7,2,3,8]=>[8,3,2,7,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,8,1,3,2,7]=>[7,2,3,1,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,5,4,8,3,1,2,6]=>[6,2,1,3,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,5,1,4,8,3,2,7]=>[7,2,3,8,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,6,5,2,4,8,3,1]=>[1,3,8,4,2,5,6,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [7,6,5,3,8,2,1,4]=>[4,1,2,8,3,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [8,7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7,8]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [6,3,7,4,1,5,8,2]=>[2,8,5,1,4,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,3,8,4,2,5,1,6]=>[6,1,5,2,4,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,3,8,4,2,5,6,1]=>[1,6,5,2,4,8,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [8,7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [8,6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7,8]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [2,8,3,7,4,5,1,6]=>[6,1,5,4,7,3,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [2,9,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,9,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1,1]=>3 [2,9,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,9,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>3 [4,2,5,7,3,1,6,8]=>[8,6,1,3,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,5,2,1,6,8]=>[8,6,1,2,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,5,7,3,2,6,8]=>[8,6,2,3,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,4,7,2,6,8]=>[8,6,2,7,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,4,7,8,3,6]=>[6,3,8,7,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,1,6,4,2,7,8]=>[8,7,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,1,7,2,5,8]=>[8,5,2,7,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,7,4,5,1,8]=>[8,1,5,4,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,5,7,1,4,8]=>[8,4,1,7,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,5,7,1,4,8]=>[8,4,1,7,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,6,3,5,7,8,4]=>[4,8,7,5,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,3,2,5,7,4,8]=>[8,4,7,5,2,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,1,4,3,7,8]=>[8,7,3,4,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,5,2,7,3,8]=>[8,3,7,2,5,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,3,7,2,4,8]=>[8,4,2,7,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,7,5,3,6,8]=>[8,6,3,5,7,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,3,4,8,7,6]=>[6,7,8,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,3,7,6,5,1,2,8]=>[8,2,1,5,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,3,6,5,1,2,7]=>[7,2,1,5,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,3,7,6,1,8,2,4]=>[4,2,8,1,6,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,2,7,6,5,1,8,3]=>[3,8,1,5,6,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,2,7,6,1,8,4,3]=>[3,4,8,1,6,7,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,8,2,6,1,7,4,3]=>[3,4,7,1,6,2,8,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [1,7,8,2,4,6,5,3]=>[3,5,6,4,2,8,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [1,5,8,3,6,2,7,4]=>[4,7,2,6,3,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,8,7,1,4,5,2,3]=>[3,2,5,4,1,7,8,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>3 [7,8,1,4,6,5,2,3]=>[3,2,5,6,4,1,8,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [5,8,7,3,1,6,2,4]=>[4,2,6,1,3,7,8,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [1,2,6,4,7,3,8,5]=>[5,8,3,7,4,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,6,8,7,2,4,5,3]=>[3,5,4,2,7,8,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [6,8,7,1,2,4,5,3]=>[3,5,4,2,1,7,8,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>3 [4,8,7,6,2,1,5,3]=>[3,5,1,2,6,7,8,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [5,4,2,3,8,6,1,7]=>[7,1,6,8,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,6,3,4,1,5,8,7]=>[7,8,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,7,4,5,8,1,6,3]=>[3,6,1,8,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,6,1,8,5,4,3,7]=>[7,3,4,5,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,8,6,2,1,4,3,7]=>[7,3,4,1,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,7,5,8,2,1,3]=>[3,1,2,8,5,7,4,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [4,8,2,1,5,7,6,3]=>[3,6,7,5,1,2,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [4,6,2,5,7,3,8,1]=>[1,8,3,7,5,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,8,5,3,6,1,7]=>[7,1,6,3,5,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,3,6,4,1,8,5,7]=>[7,5,8,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,6,7,8,4,1,5]=>[5,1,4,8,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,8,4,2,5,3,6,1]=>[1,6,3,5,2,4,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [8,1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [2,7,8,3,4,1,6,5]=>[5,6,1,4,3,8,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,2,5,7,8,3,6,1]=>[1,6,3,8,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [7,8,3,5,6,2,4,1]=>[1,4,2,6,5,3,8,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,3,2,2]=>1 [6,2,1,4,5,7,8,3]=>[3,8,7,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,4,2,1,8,3,7]=>[7,3,8,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,6,5,3,1,2,8,4]=>[4,8,2,1,3,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,5,4,1,2,8,7,3]=>[3,7,8,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [8,7,6,5,4,1,2,9,3]=>[3,9,2,1,4,5,6,7,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [5,4,1,6,2,8,3,7]=>[7,3,8,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,1,8,6,5,2,7]=>[7,2,5,6,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,7,6,5,4,2,1,10,3,9]=>[9,3,10,1,2,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [6,5,3,1,4,7,8,2]=>[2,8,7,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,3,1,7,8,4,5]=>[5,4,8,7,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,8,6,7,2,4,5]=>[5,4,2,7,6,8,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [6,5,1,4,2,3,7,8]=>[8,7,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,2,6,4,7,8]=>[8,7,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,8,2,3,6,1,5]=>[5,1,6,3,2,8,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,2,5,1,8,6,7,3]=>[3,7,6,8,1,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,5,8,1,4,2,6,3]=>[3,6,2,4,1,8,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [4,5,3,7,1,6,8,2]=>[2,8,6,1,7,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,2,8,5,3,6,7,1]=>[1,7,6,3,5,8,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,7,4,1,8,5,6,3]=>[3,6,5,8,1,4,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,2,8,1,4,7,6,3]=>[3,6,7,4,1,8,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,8,6,3,5,4,7,1]=>[1,7,4,5,3,6,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [3,5,2,8,6,4,7,1]=>[1,7,4,6,8,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,1,3,6,2,8,5,7]=>[7,5,8,2,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,4,7,6,1,8,3]=>[3,8,1,6,7,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,3,5,1,6,4,8,2]=>[2,8,4,6,1,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,2,3,6,1,4,8]=>[8,4,1,6,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,2,4,8,3,6]=>[6,3,8,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,2,5,8,4,7,1,3]=>[3,1,7,4,8,5,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,8,2,3,6,1,4,7]=>[7,4,1,6,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,1,4,7,2,6,8,3]=>[3,8,6,2,7,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,8,2,5,4,1,3,7]=>[7,3,1,4,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,1,6,3,2,4,5,8]=>[8,5,4,2,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,8,3,2,5,7]=>[7,5,2,3,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,5,8,2,3,7,4]=>[4,7,3,2,8,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,6,3,2,4,8,5,7]=>[7,5,8,4,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,7,1,6,4,8,3]=>[3,8,4,6,1,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,8,2,5,6,4,7,3]=>[3,7,4,6,5,2,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,4,8,3,7,5,1,6]=>[6,1,5,7,3,8,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,7,6,1,5,2,3,8]=>[8,3,2,5,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,4,6,1,8,5,2]=>[2,5,8,1,6,4,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [5,6,2,3,8,1,4,7]=>[7,4,1,8,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,6,1,2,4,7,3,8]=>[8,3,7,4,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,3,8,6,2,5]=>[5,2,6,8,3,1,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,7,1,4,8,5,6,3]=>[3,6,5,8,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,5,4,8,1,6,3,7]=>[7,3,6,1,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,3,4,7,2,8,5]=>[5,8,2,7,4,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,4,6,1,3,7,5]=>[5,7,3,1,6,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3,8]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5,8]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>3 [5,8,2,7,6,1,4,3]=>[3,4,1,6,7,2,8,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>3 [7,3,8,6,5,1,4,2]=>[2,4,1,5,6,8,3,7]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [8,7,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,6,1,2,3,4,5,9]=>[9,5,4,3,2,1,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,6,5,4,2,9,1,3]=>[3,1,9,2,4,5,6,7,8]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,6]=>3 [9,8,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,7,8,5,6,3,4,1,2,10]=>[10,2,1,4,3,6,5,8,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,7,4,5,2,6,8,1]=>[1,8,6,2,5,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,1,3,4,5,8,6,2]=>[2,6,8,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,1,4,6,8,7,5,2]=>[2,5,7,8,6,4,1,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [5,4,7,1,3,8,6,2]=>[2,6,8,3,1,7,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,8,2,6,4,7,3,5]=>[5,3,7,4,6,2,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,1,7,2,4,8,6,5]=>[5,6,8,4,2,7,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,6,7,5,2,8,4,3]=>[3,4,8,2,5,7,6,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [8,1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,2,6,5,8,4,3,1]=>[1,3,4,8,5,6,2,7]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [3,2,8,6,4,5,7,1]=>[1,7,5,4,6,8,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,3,5,2,4,1,7,8]=>[8,7,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,7,3,6,1,8]=>[8,1,6,3,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,3,4,2,7,8]=>[8,7,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,3,2,6,1,8]=>[8,1,6,2,3,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,8,4,5,3,6,2]=>[2,6,3,5,4,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [5,7,4,2,1,6,3,8]=>[8,3,6,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,4,7,3,6,2,8]=>[8,2,6,3,7,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,3,5,2,1,8]=>[8,1,2,5,3,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,8,7,4,2,3]=>[3,2,4,7,8,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [3,6,7,5,8,2,4,1]=>[1,4,2,8,5,7,6,3]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [1,7,4,5,2,8,6,3]=>[3,6,8,2,5,4,7,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,6,7,4,2,8,5,1]=>[1,5,8,2,4,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,6,3,2,7,8,5,1]=>[1,5,8,7,2,3,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,6,1,3,4,2,5,8]=>[8,5,2,4,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,4,5,6,3,8]=>[8,3,6,5,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,3,1,5,4,8]=>[8,4,5,1,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,8,5,6,4,3,1]=>[1,3,4,6,5,8,2,7]=>[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,1,2,2]=>1 [7,6,8,5,4,1,3,2]=>[2,3,1,4,5,8,6,7]=>[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>2 [5,1,2,8,4,6,7,3]=>[3,7,6,4,8,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,1,2,4,6,8,7,3]=>[3,7,8,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,1,6,4,7,3,2,8]=>[8,2,3,7,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [7,5,3,2,4,1,8,6]=>[6,8,1,4,2,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,2,3,6,8,4,5]=>[5,4,8,6,3,2,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,7,3,6,8,4,1,2]=>[2,1,4,8,6,3,7,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,7,8,6,5,4,1,2]=>[2,1,4,5,6,8,7,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [3,1,8,4,6,5,2,7]=>[7,2,5,6,4,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,1,8,4,6,5,7,2]=>[2,7,5,6,4,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [7,6,2,8,3,1,5,4]=>[4,5,1,3,8,2,6,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [6,1,2,3,8,4,7,5]=>[5,7,4,8,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [8,1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [8,1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6,8]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,4,2,1]=>1 [8,6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6,8]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [8,6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6,8]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [8,6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6,8]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [8,6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6,8]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [8,6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3,8]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,1,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,1,6,2,7,3,8,10,4,9]=>[9,4,10,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [7,4,5,1,2,8,6,3]=>[3,6,8,2,1,5,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [5,7,4,2,3,8,6,1]=>[1,6,8,3,2,4,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,8,2,5,1,7,4,6]=>[6,4,7,1,5,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,5,2,1,7,3,6]=>[6,3,7,1,2,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,8,7,5,2,4,1,3]=>[3,1,4,2,5,7,8,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>3 [5,3,1,7,4,8,6,2]=>[2,6,8,4,7,1,3,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,3,1,8,6,4,5,2]=>[2,5,4,6,8,1,3,7]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [6,4,8,3,7,2,1,5]=>[5,1,2,7,3,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [3,6,2,8,7,4,1,5]=>[5,1,4,7,8,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [5,4,8,6,7,3,2,1]=>[1,2,3,7,6,8,4,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,4,1]=>1 [8,9,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,9,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,6,2]=>1 [9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1,1]=>1 [5,7,6,9,8,4,3,2,1]=>[1,2,3,4,8,9,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,4,1]=>1 [3,2,7,6,4,5,8,1]=>[1,8,5,4,6,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,4,8,1,3,2,6]=>[6,2,3,1,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,3,7,8,1,5,2,6]=>[6,2,5,1,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,2,6,8,7,4,1,5]=>[5,1,4,7,8,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [2,3,7,5,1,8,6,4]=>[4,6,8,1,5,7,3,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [6,3,1,2,8,7,4,5]=>[5,4,7,8,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,2,1,5,3,8,4,6]=>[6,4,8,3,5,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,6,8,4,5,1,7,2]=>[2,7,1,5,4,8,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [8,6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [2,3,7,6,1,8,5,4]=>[4,5,8,1,6,7,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [2,1,3,8,7,4,6,5]=>[5,6,4,7,8,3,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,1,3,8,7,4,5,6]=>[6,5,4,7,8,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [1,6,8,3,2,4,7,5]=>[5,7,4,2,3,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [2,1,3,8,7,6,4,5]=>[5,4,6,7,8,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,4,3,6,5,8,7,1,10,9]=>[9,10,1,7,8,5,6,3,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [1,7,2,6,3,5,8,4]=>[4,8,5,3,6,2,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,8,2,6,3,5,4]=>[4,5,3,6,2,8,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [1,6,3,7,2,5,4,8]=>[8,4,5,2,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,6,8,3,4,5]=>[5,4,3,8,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,7,6,5,8,3,1,2]=>[2,1,3,8,5,6,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,7,2,8,4,1,3,6]=>[6,3,1,4,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,6,8,3,1,5,4,7]=>[7,4,5,1,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,8,3,1,4,5,7]=>[7,5,4,1,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,7,8,2,1,5,4]=>[4,5,1,2,8,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,4,8,3,1,6,7,5]=>[5,7,6,1,3,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,4,2,6,1,5,8,7]=>[7,8,5,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,4,2,7,1,6,5,8]=>[8,5,6,1,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,7,1,4,3,5,6]=>[6,5,3,4,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [7,3,8,6,1,4,5,2]=>[2,5,4,1,6,8,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [5,4,7,8,3,2,6,1]=>[1,6,2,3,8,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [3,2,5,4,6,8,1,7]=>[7,1,8,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,4,5,8,3,1,6,2]=>[2,6,1,3,8,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,4,8,5,7,1,2,6]=>[6,2,1,7,5,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,6,8,2,5,1,4,7]=>[7,4,1,5,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,5,7,2,8,1,6,4]=>[4,6,1,8,2,7,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [4,7,6,8,3,5,2,1]=>[1,2,5,3,8,6,7,4]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [3,4,7,5,8,1,6,2]=>[2,6,1,8,5,7,4,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [3,4,6,5,8,2,1,7]=>[7,1,2,8,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,4,6,7,8,3,5,1]=>[1,5,3,8,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [1,4,2,5,7,6,3,8]=>[8,3,6,7,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,6,8,5,3,7]=>[7,3,5,8,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,5,7,6,3,2,4,8]=>[8,4,2,3,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,2,4,8,7,5]=>[5,7,8,4,2,3,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,2,7,6,4,3,5,8]=>[8,5,3,4,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,7,5,2,4,6,3]=>[3,6,4,2,5,7,8,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [1,8,4,7,5,2,6,3]=>[3,6,2,5,7,4,8,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [1,3,6,4,8,7,5,2]=>[2,5,7,8,4,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [1,3,7,6,4,2,5,8]=>[8,5,2,4,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,2,4,8,5,7,6]=>[6,7,5,8,4,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,4,6,3,2,7,5,8]=>[8,5,7,2,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,6,3,2,8,7,5]=>[5,7,8,2,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,5,7,6,4,2,3,8]=>[8,3,2,4,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,3,5,2,7,4,8]=>[8,4,7,2,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,3,7,5,2,4,6]=>[6,4,2,5,7,3,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [6,4,7,1,5,3,8,2]=>[2,8,3,5,1,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,8,2,6,4,7,1]=>[1,7,4,6,2,8,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,3,8,2,6,5,7,1]=>[1,7,5,6,2,8,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,6,1,8,3,4,7,5]=>[5,7,4,3,8,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,6,2,8,3,4,7,5]=>[5,7,4,3,8,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,7,1,4,8,2,3,6]=>[6,3,2,8,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,5,7,1,4,3,8,2]=>[2,8,3,4,1,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,8,2,3,4,6,5]=>[5,6,4,3,2,8,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,8,3,5,7,6,1,2]=>[2,1,6,7,5,3,8,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [5,7,6,1,2,4,8,3]=>[3,8,4,2,1,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,8,3,5,7,6,2,1]=>[1,2,6,7,5,3,8,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,4,1,1]=>1 [3,4,2,1,8,5,7,6]=>[6,7,5,8,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,7,5,1,2,8,4,3]=>[3,4,8,2,1,5,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,3,4,2,8,5,7,6]=>[6,7,5,8,2,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [7,5,1,8,4,2,3,6]=>[6,3,2,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,7,6,1,4,8,3,2]=>[2,3,8,4,1,6,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [2,5,3,1,8,4,7,6]=>[6,7,4,8,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,7,6,2,4,8,3,1]=>[1,3,8,4,2,6,7,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,7,5,2,3,8,4,1]=>[1,4,8,3,2,5,7,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [6,7,5,3,8,4,2,1]=>[1,2,4,8,3,5,7,6]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [3,2,1,4,8,5,7,6]=>[6,7,5,8,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [7,3,1,4,2,6,5,8]=>[8,5,6,2,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,3,2,5,4,8]=>[8,4,5,2,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,4,2,5,3,8]=>[8,3,5,2,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,1,6,2,5,3,8]=>[8,3,5,2,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,2,5,1,4,3,8]=>[8,3,4,1,5,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,1,8,2,5,4,7]=>[7,4,5,2,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,1,8,2,5,3,7]=>[7,3,5,2,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,1,7,2,6,4,8]=>[8,4,6,2,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,4,2,7,3,8]=>[8,3,7,2,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,4,2,8,3,7]=>[7,3,8,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,1,4,2,8,3,7]=>[7,3,8,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,1,5,2,8,3,7]=>[7,3,8,2,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,1,8,3,7,2,6]=>[6,2,7,3,8,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,2,1,8,4,7,3,6]=>[6,3,7,4,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,9,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,9,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,1,1]=>7 [1,10,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,10,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[8,1,1]=>8 [1,8,7,3,4,5,2,6]=>[6,2,5,4,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,8,7,4,5,2,3,6]=>[6,3,2,5,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,2,6,8,7,3,4,5]=>[5,4,3,7,8,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [1,3,7,8,4,5,6,2]=>[2,6,5,4,8,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [8,4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,4,5,2,8,1,7,3]=>[3,7,1,8,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,8,6,2,3,1,7,5]=>[5,7,1,3,2,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,6,2,3,1,8,7,5]=>[5,7,8,1,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [6,4,2,1,8,5,3,7]=>[7,3,5,8,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,5,2,8,7,1,3]=>[3,1,7,8,2,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,4,2,3,5,8,1,7]=>[7,1,8,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,4,2,3,1,8,5,7]=>[7,5,8,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,4,2,3,1,5,8,7]=>[7,8,5,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,8,6,4,5,1,7,3]=>[3,7,1,5,4,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [8,6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,4,2,1,8,3,7,5]=>[5,7,3,8,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6,8]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [2,8,6,1,4,3,7,5]=>[5,7,3,4,1,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,8,6,4,3,7,5,1]=>[1,5,7,3,4,6,8,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [2,6,3,1,7,4,8,5]=>[5,8,4,7,1,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,2,6,1,8,7,5]=>[5,7,8,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [1,3,7,4,5,2,8,6]=>[6,8,2,5,4,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,8,7,4,5,3,2,6]=>[6,2,3,5,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,2,6,7,8,4,5,1]=>[1,5,4,8,7,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,2,6,3,5,8,1,4]=>[4,1,8,5,3,6,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,5,3,1,8,7,6,2]=>[2,6,7,8,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [6,3,4,2,7,8,5,1]=>[1,5,8,7,2,4,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7,8]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>2 [6,2,7,8,1,3,5,4]=>[4,5,3,1,8,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,2,8,1,3,4,6,5]=>[5,6,4,3,1,8,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [5,8,2,3,1,7,4,6]=>[6,4,7,1,3,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1,8]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>3 [7,5,2,3,6,8,4,1]=>[1,4,8,6,3,2,5,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,5,8,3,6,1,4,7]=>[7,4,1,6,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1,8]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>3 [8,1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [8,1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1,8]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1,1]=>3 [7,2,3,6,8,5,1,4]=>[4,1,5,8,6,3,2,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,5,3,2,6,4,1,8]=>[8,1,4,6,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,8,1,6,7,2,3]=>[3,2,7,6,1,8,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,5,8,2,6,4,7,1]=>[1,7,4,6,2,8,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,2,8,6,1,5,7,4]=>[4,7,5,1,6,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,4,7,2,1,5,6,8]=>[8,6,5,1,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,5,8,4,6,1]=>[1,6,4,8,5,2,7,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [6,7,8,4,1,5,2,3]=>[3,2,5,1,4,8,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [6,2,8,3,5,1,4,7]=>[7,4,1,5,3,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,7,4,5,3,1,8]=>[8,1,3,5,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,2,5,3,4,1,7]=>[7,1,4,3,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,7,5,4,1,2,3]=>[3,2,1,4,5,7,8,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>3 [7,4,5,6,1,8,2,3]=>[3,2,8,1,6,5,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,3,4,6,5,1,2,8]=>[8,2,1,5,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,5,6,1,8,3]=>[3,8,1,6,5,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,5,2,8,1,7,4]=>[4,7,1,8,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,7,3,5,8,1,4,6]=>[6,4,1,8,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,8,6,1,2,5,4,3]=>[3,4,5,2,1,6,8,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>3 [6,1,8,7,4,5,2,3]=>[3,2,5,4,7,8,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [6,1,8,7,3,4,2,5]=>[5,2,4,3,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [4,5,3,7,8,2,1,6]=>[6,1,2,8,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,1,7,6,3,5,2,8]=>[8,2,5,3,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,7,2,5,8,3]=>[3,8,5,2,7,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,8,1,6,2,5,3]=>[3,5,2,6,1,8,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [4,8,7,1,6,3,2,5]=>[5,2,3,6,1,7,8,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,8,2,7,5,3,6,1]=>[1,6,3,5,7,2,8,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [3,2,8,7,6,4,5,1]=>[1,5,4,6,7,8,2,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [3,1,2,7,5,6,4,8]=>[8,4,6,5,7,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,4,8,3,6,7]=>[7,6,3,8,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,8,3,5,4,7,6]=>[6,7,4,5,3,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,5,6,4,7,2,3,8]=>[8,3,2,7,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,8,2,3,6,7,4]=>[4,7,6,3,2,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,3,2,6,8,5,4,7]=>[7,4,5,8,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,2,7,5,3,8,6]=>[6,8,3,5,7,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,6,5,8,3,7,4,2]=>[2,4,7,3,8,5,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [1,7,4,8,3,2,5,6]=>[6,5,2,3,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,8,3,6,4,5,2,7]=>[7,2,5,4,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,6,4,7,3,2,8,5]=>[5,8,2,3,7,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5,8]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [3,1,5,6,8,4,2,7]=>[7,2,4,8,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,6,8,4,2,5,7]=>[7,5,2,4,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,6,3,2,1,8,4,5]=>[5,4,8,1,2,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [7,4,8,2,5,3,1,6]=>[6,1,3,5,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,2,1,4,8,5,3,6]=>[6,3,5,8,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,8,7,3,4,2,1,5]=>[5,1,2,4,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [3,8,7,1,2,4,5,6]=>[6,5,4,2,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,8,5,3,4,6,2,7]=>[7,2,6,4,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,4,3,1,6,2,7]=>[7,2,6,1,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,1,3,6,4,5,8,2]=>[2,8,5,4,6,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,5,3,6,4,8,2]=>[2,8,4,6,3,5,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,5,3,7,8,2,4]=>[4,2,8,7,3,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,1,7,3,8,6,2,4]=>[4,2,6,8,3,7,1,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,2,1,3,4,7,8,5]=>[5,8,7,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,5,8,7,4,1,6]=>[6,1,4,7,8,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,8,5,7,2,1,6]=>[6,1,2,7,5,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,8,4,7,3,6,2,1]=>[1,2,6,3,7,4,8,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,4,1,1]=>1 [5,1,3,2,6,8,7,4]=>[4,7,8,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,2,5,8,7,1,4,6]=>[6,4,1,7,8,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,6,3,8,7,2,1,4]=>[4,1,2,7,8,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [3,1,6,5,8,7,2,4]=>[4,2,7,8,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [7,5,2,1,4,3,6,8]=>[8,6,3,4,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,5,6,1,4,8]=>[8,4,1,6,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,3,4,5,2,8]=>[8,2,5,4,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,3,2,5,4,7]=>[7,4,5,2,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,2,5,4,8,1,3,6]=>[6,3,1,8,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,1,8,3,2,7,6,4]=>[4,6,7,2,3,8,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [6,8,5,2,3,7,1,4]=>[4,1,7,3,2,5,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [6,4,5,8,3,1,7,2]=>[2,7,1,3,8,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,7,8,5,6,4,1,3]=>[3,1,4,6,5,8,7,2]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [4,6,2,8,5,3,7,1]=>[1,7,3,5,8,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,6,2,4,8,3,1,7]=>[7,1,3,8,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,8,7,3,5,2,4]=>[4,2,5,3,7,8,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [7,1,3,5,4,8,6,2]=>[2,6,8,4,5,3,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [2,7,3,4,5,8,6,1]=>[1,6,8,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [7,5,3,4,8,6,2,1]=>[1,2,6,8,4,3,5,7]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [8,4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [2,8,3,1,4,6,7,5]=>[5,7,6,4,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,3,4,2,5,7,1]=>[1,7,5,2,4,3,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [3,1,2,6,5,4,7,8]=>[8,7,4,5,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,5,1,2,7,8]=>[8,7,2,1,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,3,7,6,4,1,5]=>[5,1,4,6,7,3,8,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,3,7,6,4,5,1]=>[1,5,4,6,7,3,8,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,4,1,1,1]=>1 [8,1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [8,1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [5,8,3,7,6,4,2,1]=>[1,2,4,6,7,3,8,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,2,2,1,1]=>1 [1,3,8,7,6,5,2,4]=>[4,2,5,6,7,8,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [2,8,1,7,6,4,5,3]=>[3,5,4,6,7,1,8,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [2,8,7,1,6,3,4,5]=>[5,4,3,6,1,7,8,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,2,8,7,6,5,1,3]=>[3,1,5,6,7,8,2,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [1,4,8,7,6,5,2,3]=>[3,2,5,6,7,8,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [8,4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4,8]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,2,1,1,1]=>1 [6,8,7,5,2,4,3,1]=>[1,3,4,2,5,7,8,6]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,1,1,2,1]=>1 [7,3,6,2,4,5,1,8]=>[8,1,5,4,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,6,1,4,5,3,8]=>[8,3,5,4,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,8,7,4,5,2,1]=>[1,2,5,4,7,8,3,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,3,2,1]=>1 [4,2,1,5,3,8,6,7]=>[7,6,8,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,3,2,8,1,7]=>[7,1,8,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,8,3,4,1,5,6,7]=>[7,6,5,1,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,6,4,3,5,8,1,7]=>[7,1,8,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,1,7,6,5,8,3]=>[3,8,5,6,7,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,3,7,5,4,8,6,2]=>[2,6,8,4,5,7,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,5,6,3,1,8,2,7]=>[7,2,8,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,6,3,5,8,2,7]=>[7,2,8,5,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,1,3,2,6,8,7]=>[7,8,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,1,4,3,6,8,7]=>[7,8,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,2,4,3,1,8,5,7]=>[7,5,8,1,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,3,8,1,2,7]=>[7,2,1,8,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,8,6,3,1,4,2,7]=>[7,2,4,1,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,7,3,8,4,2,6,1]=>[1,6,2,4,8,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [5,6,8,3,2,4,1,7]=>[7,1,4,2,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,6,5,4,8,3,1,7]=>[7,1,3,8,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,6,5,4,8,1,7]=>[7,1,8,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,7,5,4,8,2,6,1]=>[1,6,2,8,4,5,7,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,3,7,1,2,8,4,6]=>[6,4,8,2,1,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,7,6,4,8,3,5]=>[5,3,8,4,6,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,8,7,1,2,5,4]=>[4,5,2,1,7,8,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [2,8,7,6,1,3,5,4]=>[4,5,3,1,6,7,8,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [7,6,4,8,2,5,3,1]=>[1,3,5,2,8,4,6,7]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [6,3,8,7,2,5,4,1]=>[1,4,5,2,7,8,3,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>1 [2,8,7,6,1,5,3,4]=>[4,3,5,1,6,7,8,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [6,3,8,7,1,2,4,5]=>[5,4,2,1,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [9,8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[5,2,1,1]=>5 [1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,8,1,6,7,5,2,3]=>[3,2,5,7,6,1,8,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [6,8,4,1,7,5,2,3]=>[3,2,5,7,1,4,8,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [8,1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [2,6,8,1,7,4,5,3]=>[3,5,4,7,1,8,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [8,4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [6,2,8,1,4,7,5,3]=>[3,5,7,4,1,8,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [2,4,8,1,6,7,5,3]=>[3,5,7,6,1,8,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [4,2,8,6,1,7,5,3]=>[3,5,7,1,6,8,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [8,2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [4,8,6,1,2,7,5,3]=>[3,5,7,2,1,6,8,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [6,8,2,1,4,7,5,3]=>[3,5,7,4,1,2,8,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [8,6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6,8]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [6,8,2,4,1,7,5,3]=>[3,5,7,1,4,2,8,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [8,2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2,8]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>3 [4,3,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,8]=>2 [2,3,4,5,6,7,8,1,10,9]=>[9,10,1,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,6,1,3,2,8,7,5]=>[5,7,8,2,3,1,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [5,4,6,7,1,3,8,2]=>[2,8,3,1,7,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,1,3,5,2,8,7]=>[7,8,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,7,6,3,5,8,4,2]=>[2,4,8,5,3,6,7,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [2,5,1,4,8,3,7,6]=>[6,7,3,8,4,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,1,2,8,7,6,3,5]=>[5,3,6,7,8,2,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,6,3,5,1,7,4,8]=>[8,4,7,1,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,4,7,2,1,8,5,3]=>[3,5,8,1,2,7,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,8,4,6,3,1,7,2]=>[2,7,1,3,6,4,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [2,4,5,6,8,3,1,7]=>[7,1,3,8,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,8,4,2,1,6,5,7]=>[7,5,6,1,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,1,8,6,5,2,3,7]=>[7,3,2,5,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,4,5,8,6,2,1,7]=>[7,1,2,6,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,3,7,1,8,6,4]=>[4,6,8,1,7,3,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,8,6,2,5,1,7,3]=>[3,7,1,5,2,6,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,2,8,7,1,3,5,4]=>[4,5,3,1,7,8,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [8,3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3,8]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [8,4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4,8]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [3,8,7,5,6,2,1,4]=>[4,1,2,6,5,7,8,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [2,8,7,5,6,4,1,3]=>[3,1,4,6,5,7,8,2]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [4,5,2,3,6,7,8,9,1]=>[1,9,8,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [4,3,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [10,1,9,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,9,1,10]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1,1,1]=>5 [1,7,5,3,6,2,8,4]=>[4,8,2,6,3,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,7,3,4,2,8,6]=>[6,8,2,4,3,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,5,3,7,2,8,6]=>[6,8,2,7,3,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,4,5,3,8,2,7,6]=>[6,7,2,8,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,5,1,4,2,7,8,3]=>[3,8,7,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,1,4,2,8,7,3]=>[3,7,8,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,1,6,8,3,7,2,4]=>[4,2,7,3,8,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,8,5,2,1,4,7,6]=>[6,7,4,1,2,5,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,5,4,8,2,6,7,1]=>[1,7,6,2,8,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,4,7,1,8,6,3,2]=>[2,3,6,8,1,7,4,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [3,1,5,6,8,4,7,2]=>[2,7,4,8,6,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,6,1,8,2,5,4,7]=>[7,4,5,2,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,8,3,2,1,7,4,6]=>[6,4,7,1,2,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,8,1,2,6,5,4,7]=>[7,4,5,6,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,5,1,8,3,4,2,6]=>[6,2,4,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,2,8,1,7,4,3,6]=>[6,3,4,7,1,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,4,7,1,2,3,8,6]=>[6,8,3,2,1,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,6,1,8,2,7,4,5]=>[5,4,7,2,8,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,5,6,7,2,8,4,3]=>[3,4,8,2,7,6,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [3,6,1,2,8,7,5,4]=>[4,5,7,8,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [2,6,8,1,4,7,3,5]=>[5,3,7,4,1,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,5,7,6,2,8,3,4]=>[4,3,8,2,6,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,2,6,5,7,3,8,4]=>[4,8,3,7,5,6,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,6,5,8,1,2,7,4]=>[4,7,2,1,8,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,5,6,8,1,3,7,4]=>[4,7,3,1,8,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,5,6,8,2,3,7,1]=>[1,7,3,2,8,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,5,8,7,1,6,4,3]=>[3,4,6,1,7,8,5,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [4,7,5,8,3,6,2,1]=>[1,2,6,3,8,5,7,4]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [8,3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3,8]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,3,1,2,1]=>1 [8,4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4,8]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,4,1,1]=>1 [7,8,4,6,5,3,1,2]=>[2,1,3,5,6,4,8,7]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,2,1,2]=>2 [2,7,5,4,3,1,6,8]=>[8,6,1,3,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,4,3,8,7,5]=>[5,7,8,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [6,5,8,3,1,4,2,7]=>[7,2,4,1,3,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,7,4,6,1,5,3,8]=>[8,3,5,1,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,3,1,6,5,4,8]=>[8,4,5,6,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,2,3,5,4,8]=>[8,4,5,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,8,4,2,5,7]=>[7,5,2,4,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,8,7,5,1,6,3,4]=>[4,3,6,1,5,7,8,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [8,7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7,8]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>3 [5,8,7,2,3,1,6,4]=>[4,6,1,3,2,7,8,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,5,8,1,4,7,2,6]=>[6,2,7,4,1,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,7,5,1,2,6,4]=>[4,6,2,1,5,7,8,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,8,7,4,2,6,5,1]=>[1,5,6,2,4,7,8,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [5,8,3,2,4,7,6,1]=>[1,6,7,4,2,3,8,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [1,3,4,7,2,6,5,8]=>[8,5,6,2,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,8,3,2,6,1,7]=>[7,1,6,2,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,3,7,2,8,6,4]=>[4,6,8,2,7,3,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,5,8,3,6,1,2,7]=>[7,2,1,6,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,1,7,8,3,5,2,4]=>[4,2,5,3,8,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [3,2,7,1,8,5,4,6]=>[6,4,5,8,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,8,5,2,3,1,6]=>[6,1,3,2,5,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,2,7,8,1,5,3,4]=>[4,3,5,1,8,7,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,7,1,3,8,5,4,6]=>[6,4,5,8,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,2,3,4,5,8,6,9]=>[9,6,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,1,2,3,4,7,5,8,9]=>[9,8,5,7,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,1,2,3,6,4,7,8,9]=>[9,8,7,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,1,2,5,3,6,7,8,9]=>[9,8,7,6,3,5,2,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,1,2,6,3,8,4,5]=>[5,4,8,3,6,2,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [7,4,1,8,2,5,3,6]=>[6,3,5,2,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,4,1,7,2,8,3,5]=>[5,3,8,2,7,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,3,8,1,2,5,6,4]=>[4,6,5,2,1,8,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,2,4,5,1,3,8,6]=>[6,8,3,1,5,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,8,7,3,1,2,4,5]=>[5,4,2,1,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [7,2,6,8,4,1,3,5]=>[5,3,1,4,8,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,2,5,1,6,8,3,4]=>[4,3,8,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [1,4,2,5,7,6,8,3]=>[3,8,6,7,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,6,8,5,2,7,3]=>[3,7,2,5,8,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,7,4,3,6,2,5,8]=>[8,5,2,6,3,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,8,6,3,7,5,1]=>[1,5,7,3,6,8,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [5,4,1,8,6,7,2,3]=>[3,2,7,6,8,1,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,2,8,4,5,3,7,1]=>[1,7,3,5,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,5,2,1,8,7,3,6]=>[6,3,7,8,1,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [6,2,1,3,7,4,8,5]=>[5,8,4,7,3,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,3,7,1,2,5,8,4]=>[4,8,5,2,1,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,4,7,8,2,6,3]=>[3,6,2,8,7,4,1,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,8,7,5,2,1,6,4]=>[4,6,1,2,5,7,8,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,8,5,6,2,7,4,1]=>[1,4,7,2,6,5,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [3,6,5,8,4,2,7,1]=>[1,7,2,4,8,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,8,3,2,5,7,4,1]=>[1,4,7,5,2,3,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [8,4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [3,6,2,4,5,8,7,1]=>[1,7,8,5,4,2,6,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,1,2,8,6,7,4,3]=>[3,4,7,6,8,2,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [7,2,3,8,1,4,6,5]=>[5,6,4,1,8,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,6,5,2,3,8,4,1]=>[1,4,8,3,2,5,6,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,6,4,1,5,8,7,3]=>[3,7,8,5,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [3,5,1,4,6,2,7,8]=>[8,7,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,2,4,3,8,1]=>[1,8,3,4,2,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,4,5,2,8,1,7]=>[7,1,8,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,5,1,8,3,6,2,4]=>[4,2,6,3,8,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [3,6,4,5,2,7,8,1]=>[1,8,7,2,5,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,2,3,5,1,4,6,8]=>[8,6,4,1,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,4,1,3,8,2]=>[2,8,3,1,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,5,2,8,3,1,4]=>[4,1,3,8,2,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,6,5,4,1,8,2,3]=>[3,2,8,1,4,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,6,4,1,5,7,2,8]=>[8,2,7,5,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,2,8,4,1,3]=>[3,1,4,8,2,5,6,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,1,6,5,2,8,7,4]=>[4,7,8,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [6,2,7,4,3,1,8,5]=>[5,8,1,3,4,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,2,7,4,8,3,6,1]=>[1,6,3,8,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,8,1,7,4,2,6,5]=>[5,6,2,4,7,1,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,8,5,3,6,1,7,2]=>[2,7,1,6,3,5,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [2,8,3,1,4,7,5,6]=>[6,5,7,4,1,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,7,3,8,6,4,2,1]=>[1,2,4,6,8,3,7,5]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,2,2,2]=>1 [8,6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [1,4,2,3,8,6,7,5]=>[5,7,6,8,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,4,3,5,1,8,2,7]=>[7,2,8,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,7,3,1,8,4,5,6]=>[6,5,4,8,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,3,1,8,2,5,7,4]=>[4,7,5,2,8,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,2,8,7,3,4,6,1]=>[1,6,4,3,7,8,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [2,4,8,7,3,6,1,5]=>[5,1,6,3,7,8,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,5,7,4,8,1,6,2]=>[2,6,1,8,4,7,5,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,2,8,3,1,5,7,6]=>[6,7,5,1,3,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,1,5,2,8,7,3,4]=>[4,3,7,8,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [3,1,8,5,4,7,2,6]=>[6,2,7,4,5,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,2,6,4,1,5,7,8]=>[8,7,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,1,8,7,3,6]=>[6,3,7,8,1,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,8,2,7,1,4,3,5]=>[5,3,4,1,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [5,8,3,1,4,7,6,2]=>[2,6,7,4,1,3,8,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [1,2,5,4,7,8,3,6]=>[6,3,8,7,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,7,1,2,5,3,6,8]=>[8,6,3,5,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,1,6,5,8,2,3]=>[3,2,8,5,6,1,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,4,1,2,7,5,3,8]=>[8,3,5,7,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,5,2,8,6,1]=>[1,6,8,2,5,3,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,2,8,3,6,4,7,1]=>[1,7,4,6,3,8,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,2,1,6,4,7,8,3]=>[3,8,7,4,6,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,2,5,1,3,4,8,6]=>[6,8,4,3,1,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,4,8,5,2,6,7]=>[7,6,2,5,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,5,7,1,2,3,8,4]=>[4,8,3,2,1,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,2,3,6,7,1,4]=>[4,1,7,6,3,2,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [4,2,7,1,5,3,6,8]=>[8,6,3,5,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,5,7,8,4,1,6]=>[6,1,4,8,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,4,7,8,2,5,1,6]=>[6,1,5,2,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,3,5,1,6,2,7,8]=>[8,7,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5,8]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [5,1,4,8,3,2,7,6]=>[6,7,2,3,8,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,3,8,7,2,6,1,5]=>[5,1,6,2,7,8,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,8,7,2,6,4,1,5]=>[5,1,4,6,2,7,8,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [3,8,7,4,6,1,2,5]=>[5,2,1,6,4,7,8,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7,8]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>2 [2,8,4,7,6,1,5,3]=>[3,5,1,6,7,4,8,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [2,5,4,8,3,1,7,6]=>[6,7,1,3,8,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,4,8,2,1,3,7,6]=>[6,7,3,1,2,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,7,2,6,1,5,4]=>[4,5,1,6,2,7,8,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [1,8,3,7,6,5,2,4]=>[4,2,5,6,7,3,8,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [1,4,3,8,7,2,6,5]=>[5,6,2,7,8,3,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [7,1,5,4,6,2,3,8]=>[8,3,2,6,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,1,5,2,3,6,4]=>[4,6,3,2,5,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [5,6,1,8,4,2,7,3]=>[3,7,2,4,8,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,4,3,1,7,6,2,8]=>[8,2,6,7,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,7,4,2,3,8]=>[8,3,2,4,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,8,3,1,7,4,5]=>[5,4,7,1,3,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,5,4,8,1,7,3,6]=>[6,3,7,1,8,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,5,2,4,8,3,6,1]=>[1,6,3,8,4,2,5,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [7,6,2,8,4,3,5,1]=>[1,5,3,4,8,2,6,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [3,8,6,4,7,5,2,1]=>[1,2,5,7,4,6,8,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,3,2,1]=>1 [7,2,6,5,8,3,4,1]=>[1,4,3,8,5,6,2,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [5,6,3,1,4,2,7,8]=>[8,7,2,4,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,3,4,8,7,1]=>[1,7,8,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,2,3,6,7,4,1,8]=>[8,1,4,7,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,7,4,5,1,8]=>[8,1,5,4,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,1,6,4,5,8]=>[8,5,4,6,1,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,4,7,8,5,1]=>[1,5,8,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,2,3,6,4,8,7,1]=>[1,7,8,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [8,7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7,8]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>1 [3,7,6,2,5,4,8,1]=>[1,8,4,5,2,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,6,4,8,7,2,1]=>[1,2,7,8,4,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [1,5,4,8,6,2,7,3]=>[3,7,2,6,8,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,5,2,7,6,3,8,1]=>[1,8,3,6,7,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,1,2,6,4,8,3]=>[3,8,4,6,2,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,3,8,1,2,7,6,4]=>[4,6,7,2,1,8,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [6,5,2,4,7,3,8,1]=>[1,8,3,7,4,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,1,5,7,4,8,2,3]=>[3,2,8,4,7,5,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,4,6,1,5,8,2,3]=>[3,2,8,5,1,6,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [5,8,3,6,4,7,2,1]=>[1,2,7,4,6,3,8,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [1,7,5,6,2,8,4,3]=>[3,4,8,2,6,5,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,4,6,8,3,2,7,1]=>[1,7,2,3,8,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,1,6,7,4,8,3,5]=>[5,3,8,4,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,4,8,5,1,2,6,3]=>[3,6,2,1,5,8,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [7,2,6,8,4,5,3,1]=>[1,3,5,4,8,6,2,7]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [7,3,6,8,5,1,4,2]=>[2,4,1,5,8,6,3,7]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [7,8,3,1,6,2,5,4]=>[4,5,2,6,1,3,8,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,8,3,6,4,1,5,2]=>[2,5,1,4,6,3,8,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>2 [1,7,5,8,2,4,6,3]=>[3,6,4,2,8,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,8,1,6,3,5,4,2]=>[2,4,5,3,6,1,8,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>2 [6,7,8,2,5,4,3,1]=>[1,3,4,5,2,8,7,6]=>[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>1 [6,7,8,3,1,5,4,2]=>[2,4,5,1,3,8,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [7,8,1,6,2,5,4,3]=>[3,4,5,2,6,1,8,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>3 [4,1,8,3,7,6,5,2]=>[2,5,6,7,3,8,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,1,1,1]=>2 [7,1,6,8,5,4,3,2]=>[2,3,4,5,8,6,1,7]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,3]=>2 [8,7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7,8]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [3,6,2,8,5,4,1,7]=>[7,1,4,5,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,6,8,2,5,3,1,7]=>[7,1,3,5,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,6,8,1,5,3,2,4]=>[4,2,3,5,1,8,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,8,7,4,1,2,3,5]=>[5,3,2,1,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [5,6,8,1,2,3,7,4]=>[4,7,3,2,1,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [3,6,2,1,8,5,7,4]=>[4,7,5,8,1,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,7,2,1,8,6,5,4]=>[4,5,6,8,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [5,4,7,3,2,6,1,8]=>[8,1,6,2,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,7,3,5,2,1,8]=>[8,1,2,5,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,2,7,5,1,4,6]=>[6,4,1,5,7,2,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,6,2,8,1,4,7,5]=>[5,7,4,1,8,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,7,8,4,2,1,3,6]=>[6,3,1,2,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,4,8,3,1,2,7,5]=>[5,7,2,1,3,8,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,4,8,3,5,2,1,7]=>[7,1,2,5,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,1,6,3,5,7,4,8]=>[8,4,7,5,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,2,7,3,4,8]=>[8,4,3,7,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,4,3,5,1,6,8]=>[8,6,1,5,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,2,4,3,5,8]=>[8,5,3,4,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,7,4,5,2,6,8]=>[8,6,2,5,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,4,5,3,7,8]=>[8,7,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,8,3,5,1,7]=>[7,1,5,3,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,4,5,3,1,6,8]=>[8,6,1,3,5,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,7,4,2,1,6,8]=>[8,6,1,2,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,5,8,9,6,7]=>[7,6,9,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>7 [1,2,3,4,7,9,5,8,6]=>[6,8,5,9,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[6,2,1]=>6 [6,1,3,7,2,8,5,4]=>[4,5,8,2,7,3,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,4,5,8,3,7,1,2]=>[2,1,7,3,8,5,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,8,5,1,6,2,4,7]=>[7,4,2,6,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,4,5,7,8,3,2,6]=>[6,2,3,8,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,8,7,4,3,2,6]=>[6,2,3,4,7,8,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,1,3,7,8,2,4,6]=>[6,4,2,8,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,2,6,7,8,5,4]=>[4,5,8,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [8,1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [3,8,1,6,4,2,7,5]=>[5,7,2,4,6,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,3,1,4,2,7,8,5]=>[5,8,7,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,4,3,7,6,1,8,5]=>[5,8,1,6,7,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,7,6,5,2,8,4]=>[4,8,2,5,6,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,4,7,6,8,3,2,5]=>[5,2,3,8,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,3,1,8,6,2,7,5]=>[5,7,2,6,8,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,6,1,8,7,4,3,5]=>[5,3,4,7,8,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [7,5,1,8,3,2,6,4]=>[4,6,2,3,8,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [4,7,6,3,1,8,2,5]=>[5,2,8,1,3,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,5,4,2,8,6,3,7]=>[7,3,6,8,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,7,4,8,3,5,2,6]=>[6,2,5,3,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,8,6,4,1,7,3,5]=>[5,3,7,1,4,6,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,4,2,7,5,3,6]=>[6,3,5,7,2,4,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,5,1,7,2,8,4,3]=>[3,4,8,2,7,1,5,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,8,1,7,5,3,6,4]=>[4,6,3,5,7,1,8,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [1,2,8,7,6,4,3,5]=>[5,3,4,6,7,8,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [1,6,5,7,8,4,2,3]=>[3,2,4,8,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [4,8,2,6,3,5,1,7]=>[7,1,5,3,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,1,5,8,2,7,4,6]=>[6,4,7,2,8,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,4,1,5,3,2,7,8]=>[8,7,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,5,4,3,7,8]=>[8,7,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,8,5,4,6,2,7]=>[7,2,6,4,5,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,1,8,4,5,3,2,7]=>[7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,5,7,1,6,8,2]=>[2,8,6,1,7,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,1,8,5,3,6,7,2]=>[2,7,6,3,5,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,3,8,4,5,1,7,2]=>[2,7,1,5,4,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,3,8,4,5,2,1,7]=>[7,1,2,5,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,5,8,7,2,3,4,1]=>[1,4,3,2,7,8,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,3,3,1]=>1 [6,3,8,4,5,2,7,1]=>[1,7,2,5,4,8,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,1,6,8,5,3,7,4]=>[4,7,3,5,8,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,5,8,7,4,1,2,3]=>[3,2,1,4,7,8,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [6,5,8,7,4,2,1,3]=>[3,1,2,4,7,8,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [6,5,8,7,2,4,1,3]=>[3,1,4,2,7,8,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>3 [6,2,8,4,5,7,1,3]=>[3,1,7,5,4,8,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,1,8,4,5,7,3,2]=>[2,3,7,5,4,8,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [4,7,3,5,2,8,6,1]=>[1,6,8,2,5,3,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,7,5,4,3,8,6,1]=>[1,6,8,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,6,1,8,5,4,7,2]=>[2,7,4,5,8,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,6,8,2,5,7,4,1]=>[1,4,7,5,2,8,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [3,6,8,2,5,4,7,1]=>[1,7,4,5,2,8,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,6,8,3,2,5,7,1]=>[1,7,5,2,3,8,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,6,2,8,3,5,7,1]=>[1,7,5,3,8,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [3,6,1,8,5,7,4,2]=>[2,4,7,5,8,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,6,3,8,7,2,5,1]=>[1,5,2,7,8,3,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [2,6,8,5,7,4,3,1]=>[1,3,4,7,5,8,6,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,1,3,1]=>1 [2,4,8,7,6,3,5,1]=>[1,5,3,6,7,8,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [6,5,3,1,7,4,8,2]=>[2,8,4,7,1,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,1,7,2,5,8,3]=>[3,8,5,2,7,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,5,1,6,3,2,8,4]=>[4,8,2,3,6,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,6,3,4,1,8,5]=>[5,8,1,4,3,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,6,3,1,2,8,4]=>[4,8,2,1,3,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,5,4,2,6,3,1]=>[1,3,6,2,4,5,8,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,2]=>1 [6,3,8,5,7,2,4,1]=>[1,4,2,7,5,8,3,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [1,5,4,8,6,2,3,7]=>[7,3,2,6,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [2,5,1,7,4,8,3,6]=>[6,3,8,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,1,7,4,2,8,3,6]=>[6,3,8,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,2,6,8,1,7,5,4]=>[4,5,7,1,8,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [4,2,8,7,5,1,6,3]=>[3,6,1,5,7,8,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [8,3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3,8]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,3,1,1,1]=>1 [5,2,8,7,6,3,1,4]=>[4,1,3,6,7,8,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [3,5,1,8,7,6,2,4]=>[4,2,6,7,8,1,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,7,5,1,3,4,6,8]=>[8,6,4,3,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,8,3,5,6,1,2]=>[2,1,6,5,3,8,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [4,7,8,3,5,1,2,6]=>[6,2,1,5,3,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,8,5,2,6,1,3,4]=>[4,3,1,6,2,5,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [2,1,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [3,2,5,1,4,8,6,7]=>[7,6,8,4,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,1,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [8,4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [2,5,6,4,8,3,7,1]=>[1,7,3,8,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,3,2,4,7,8,1,6]=>[6,1,8,7,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,2,5,7,3,8,1,6]=>[6,1,8,3,7,5,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,7,4,6,8,3,2,5]=>[5,2,3,8,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,3,7,8,6,5,2,4]=>[4,2,5,6,8,7,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [1,6,5,7,3,2,8,4]=>[4,8,2,3,7,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,6,7,1,3,8,4]=>[4,8,3,1,7,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,7,6,1,8,3,4]=>[4,3,8,1,6,7,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,7,2,5,6,3,1,8]=>[8,1,3,6,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,6,7,8,2,4]=>[4,2,8,7,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,1,5,8,3,7,2,4]=>[4,2,7,3,8,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,1,3,5,7,8,2,6]=>[6,2,8,7,5,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,1,5,8,4,3,2,7]=>[7,2,3,4,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,2,1,6,8,3,5,4]=>[4,5,3,8,6,1,2,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,1,3,7,2,4,8,5]=>[5,8,4,2,7,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,5,6,3,4,1,8]=>[8,1,4,3,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,8,5,1,6,4]=>[4,6,1,5,8,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,2,8,5,7,4,3,1]=>[1,3,4,7,5,8,2,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,1,3,1]=>1 [4,1,7,6,2,3,8,5]=>[5,8,3,2,6,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,6,7,4,3,5,8]=>[8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,7,4,5,1,8,2]=>[2,8,1,5,4,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,2,6,4,8,3,7]=>[7,3,8,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [4,5,2,8,6,1,3,7]=>[7,3,1,6,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,7,8,3,4,6,1]=>[1,6,4,3,8,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [8,1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,3,7,8,5,1,4,2]=>[2,4,1,5,8,7,3,6]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [6,8,2,7,5,3,1,4]=>[4,1,3,5,7,2,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [6,3,2,5,8,4,1,7]=>[7,1,4,8,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,8,7,1,3,5,2,4]=>[4,2,5,3,1,7,8,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [5,8,3,6,4,1,7,2]=>[2,7,1,4,6,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [7,5,4,6,1,3,8,2]=>[2,8,3,1,6,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,8,5,2,7,1,6]=>[6,1,7,2,5,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [7,5,8,3,2,1,4,6]=>[6,4,1,2,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,6,8,5,7,1,3,2]=>[2,3,1,7,5,8,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>2 [2,4,7,1,5,8,3,6]=>[6,3,8,5,1,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,5,7,1,6,4,8,2]=>[2,8,4,6,1,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,2,5,8,4,7,1,6]=>[6,1,7,4,8,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,5,8,1,3,4,7,6]=>[6,7,4,3,1,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,5,1,8,7,4,2,6]=>[6,2,4,7,8,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [7,8,6,1,2,5,3,4]=>[4,3,5,2,1,6,8,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [2,3,7,4,8,6,1,5]=>[5,1,6,8,4,7,3,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,5,1,8,4,7,2,6]=>[6,2,7,4,8,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,5,1,2,6,3,8,4]=>[4,8,3,6,2,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,7,6,2,8,5,4]=>[4,5,8,2,6,7,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [5,3,6,7,4,2,8,1]=>[1,8,2,4,7,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,5,1,8,7,6,3]=>[3,6,7,8,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [6,8,7,3,1,5,2,4]=>[4,2,5,1,3,7,8,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [3,6,8,2,1,4,7,5]=>[5,7,4,1,2,8,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,5,4,8,6,7,2,1]=>[1,2,7,6,8,4,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [6,1,4,2,8,7,3,5]=>[5,3,7,8,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,2,4,6,8,5,7,1]=>[1,7,5,8,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [1,7,6,4,5,8,2,3]=>[3,2,8,5,4,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,7,2,6,8,4,5,1]=>[1,5,4,8,6,2,7,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [4,6,5,2,7,8,3,1]=>[1,3,8,7,2,5,6,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [1,3,8,7,2,6,4,5]=>[5,4,6,2,7,8,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [5,1,8,6,4,2,7,3]=>[3,7,2,4,6,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,5,8,1,4,6,3,7]=>[7,3,6,4,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,1,8,5,7,4,3]=>[3,4,7,5,8,1,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [2,6,3,8,5,7,4,1]=>[1,4,7,5,8,3,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [5,4,7,2,3,8,6,1]=>[1,6,8,3,2,7,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,4,6,2,3,1,8,7]=>[7,8,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,7,8,1,3,4,2]=>[2,4,3,1,8,7,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [2,1,7,6,8,4,5,3]=>[3,5,4,8,6,7,1,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [6,5,7,8,1,3,2,4]=>[4,2,3,1,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,4,7,2,8,3,1,5]=>[5,1,3,8,2,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,2,1,1,1]=>3 [1,2,3,7,8,9,4,5,6]=>[6,5,4,9,8,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[6,3]=>6 [5,6,7,9,1,2,3,8,4]=>[4,8,3,2,1,9,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4,4,1]=>4 [3,9,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,9,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1,1,1]=>2 [1,2,3,4,8,9,10,5,6,7]=>[7,6,5,10,9,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[7,3]=>7 [1,2,7,8,9,10,3,4,5,6]=>[6,5,4,3,10,9,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[6,4]=>6 [4,7,3,1,5,2,8,6]=>[6,8,2,5,1,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,7,4,3,1,2,8,6]=>[6,8,2,1,3,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,7,3,6,5,2,8,1]=>[1,8,2,5,6,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,4,7,3,8,5,1,6]=>[6,1,5,8,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,3,1,8,5,4,6]=>[6,4,5,8,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,7,3,8,6,5,1,4]=>[4,1,5,6,8,3,7,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [2,8,3,1,7,4,5,6]=>[6,5,4,7,1,3,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,7,5,2,1,4,8,3]=>[3,8,4,1,2,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,8,4,2,6,1,7,3]=>[3,7,1,6,2,4,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,6,2,5,7,8,3,4]=>[4,3,8,7,5,2,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,7,8,2,5,4,6,3]=>[3,6,4,5,2,8,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [1,2,6,8,3,4,7,5]=>[5,7,4,3,8,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,6,2,5,3,7,8,4]=>[4,8,7,3,5,2,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,8,2,6,7,3,5,4]=>[4,5,3,7,6,2,8,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [1,7,3,5,4,2,8,6]=>[6,8,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [1,8,3,2,7,4,6,5]=>[5,6,4,7,2,3,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [1,7,4,8,6,5,3,2]=>[2,3,5,6,8,4,7,1]=>[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,2,1,2]=>2 [1,6,3,7,2,5,8,4]=>[4,8,5,2,7,3,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,3,6,5,4,8,2,7]=>[7,2,8,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,4,7,2,8,3,6]=>[6,3,8,2,7,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,6,7,1,5,2,8,3]=>[3,8,2,5,1,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,7,4,8,5,2,6,1]=>[1,6,2,5,8,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [6,7,1,3,4,2,5,8]=>[8,5,2,4,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,8,6,7,5,1]=>[1,5,7,6,8,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [3,7,8,6,1,4,2,5]=>[5,2,4,1,6,8,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [3,6,1,5,2,7,8,4]=>[4,8,7,2,5,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,8,4,2,5,7,6,1]=>[1,6,7,5,2,4,8,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [7,1,6,8,3,4,2,5]=>[5,2,4,3,8,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,4,8,1,2,6,3,5]=>[5,3,6,2,1,8,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [6,2,8,4,7,1,3,5]=>[5,3,1,7,4,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [3,7,8,4,2,5,6,1]=>[1,6,5,2,4,8,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [7,1,3,4,2,5,8,6]=>[6,8,5,2,4,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,6,1,4,2,5,7,8]=>[8,7,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,8,2,7,5,4,1,3]=>[3,1,4,5,7,2,8,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>3 [1,8,4,3,7,6,2,5]=>[5,2,6,7,3,4,8,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,3,8,7,1,2,6,5]=>[5,6,2,1,7,8,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [1,8,4,5,7,6,2,3]=>[3,2,6,7,5,4,8,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [4,3,8,5,7,1,6,2]=>[2,6,1,7,5,8,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [6,3,4,8,7,2,1,5]=>[5,1,2,7,8,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [5,2,8,7,1,4,6,3]=>[3,6,4,1,7,8,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [3,2,8,7,1,6,4,5]=>[5,4,6,1,7,8,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [2,7,8,3,1,6,4,5]=>[5,4,6,1,3,8,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,8,5,1,4,6,3]=>[3,6,4,1,5,8,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [3,5,8,7,4,1,6,2]=>[2,6,1,4,7,8,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [7,4,6,8,3,5,1,2]=>[2,1,5,3,8,6,4,7]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [2,7,8,1,3,6,4,5]=>[5,4,6,3,1,8,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,8,1,5,4,6,3]=>[3,6,4,5,1,8,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [2,7,8,1,4,5,6,3]=>[3,6,5,4,1,8,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [3,6,7,8,2,4,1,5]=>[5,1,4,2,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [4,5,7,8,6,3,1,2]=>[2,1,3,6,8,7,5,4]=>[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [5,4,6,8,7,3,1,2]=>[2,1,3,7,8,6,4,5]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>2 [4,5,8,6,7,1,3,2]=>[2,3,1,7,6,8,5,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>2 [5,7,6,8,2,1,3,4]=>[4,3,1,2,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [3,7,6,8,2,4,1,5]=>[5,1,4,2,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [5,4,7,8,6,3,1,2]=>[2,1,3,6,8,7,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [4,5,7,8,2,6,1,3]=>[3,1,6,2,8,7,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,5,6,8,7,3,1,2]=>[2,1,3,7,8,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>2 [5,7,3,4,2,1,6,8]=>[8,6,1,2,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>2 [6,1,5,3,8,4,7,2]=>[2,7,4,8,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,8,5,4,1,2,3,7]=>[7,3,2,1,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,1,7,2,8,6,3,5]=>[5,3,6,8,2,7,1,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,4,1,8,2,3,6,5]=>[5,6,3,2,8,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,4,6,7,8,2,5,3]=>[3,5,2,8,7,6,4,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,7,1,6,2,4,5,8]=>[8,5,4,2,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,3,4,8,6,2,5]=>[5,2,6,8,4,3,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,2,7,4,8,1,3,6]=>[6,3,1,8,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,4,1,6,7,2,8]=>[8,2,7,6,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,6,4,3,8,7]=>[7,8,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,8,3,4,7,1,6]=>[6,1,7,4,3,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,4,1,7,5,2,6]=>[6,2,5,7,1,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [4,7,6,5,1,2,3,8]=>[8,3,2,1,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,5,1,4,3,7,6]=>[6,7,3,4,1,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,6,4,8,7,2,3,1]=>[1,3,2,7,8,4,6,5]=>[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,4,1]=>1 [6,8,2,7,5,1,4,3]=>[3,4,1,5,7,2,8,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>3 [4,2,6,5,7,3,1,8]=>[8,1,3,7,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,2,7,3,1,8]=>[8,1,3,7,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,5,8,4,1,7]=>[7,1,4,8,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,2,6,5,8,7,1,3]=>[3,1,7,8,5,6,2,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,2,6,4,8,7,1,3]=>[3,1,7,8,4,6,2,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,4,7,5,8,3,1,2]=>[2,1,3,8,5,7,4,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [4,2,7,5,8,6,1,3]=>[3,1,6,8,5,7,2,4]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,3,7,2,8,5,1,6]=>[6,1,5,8,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,3,6,2,8,5,1,7]=>[7,1,5,8,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,7,6,8,2,1,4]=>[4,1,2,8,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,2,7,3,8,6,1,5]=>[5,1,6,8,3,7,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,2,7,6,8,5,1,4]=>[4,1,5,8,6,7,2,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,8,1,7,3,2,5,6]=>[6,5,2,3,7,1,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,7,4,8,2,1,5,6]=>[6,5,1,2,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,8,2,5,4,6,1]=>[1,6,4,5,2,8,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [4,7,5,8,3,2,6,1]=>[1,6,2,3,8,5,7,4]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [8,7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7,8]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>2 [7,2,5,3,4,8,1,6]=>[6,1,8,4,3,5,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,4,8,3,5,1,6,2]=>[2,6,1,5,3,8,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [5,4,6,8,7,1,2,3]=>[3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>3 [5,3,6,2,4,1,8,7]=>[7,8,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,8,6,2,3,5,4,1]=>[1,4,5,3,2,6,8,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>1 [5,8,2,6,3,7,4,1]=>[1,4,7,3,6,2,8,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [7,5,6,2,3,8,4,1]=>[1,4,8,3,2,6,5,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,8,4,3,7,5,6,1]=>[1,6,5,7,3,4,8,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [2,7,6,3,8,5,4,1]=>[1,4,5,8,3,6,7,2]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [2,4,8,3,7,5,6,1]=>[1,6,5,7,3,8,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [4,8,3,7,5,6,2,1]=>[1,2,6,5,7,3,8,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,4,1,1]=>1 [4,7,3,8,2,5,6,1]=>[1,6,5,2,8,3,7,4]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [8,2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [4,5,3,7,1,2,6,8]=>[8,6,2,1,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,6,2,7,4,1,3,8]=>[8,3,1,4,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,7,2,8,4,3,1,5]=>[5,1,3,4,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,7,3,2,8,4,1,5]=>[5,1,4,8,2,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,7,8,3,1,5,2,6]=>[6,2,5,1,3,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,7,8,1,2,6,4,3]=>[3,4,6,2,1,8,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [6,5,4,7,2,8,1,3]=>[3,1,8,2,7,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,7,1,3,8,6,5,2]=>[2,5,6,8,3,1,7,4]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [3,7,6,4,5,8,1,2]=>[2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,7,6,5,4,8,1,2]=>[2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,7,2,8,3,4,6,1]=>[1,6,4,3,8,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [3,7,2,8,5,6,4,1]=>[1,4,6,5,8,2,7,3]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [3,1,5,8,4,7,6,2]=>[2,6,7,4,8,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [1,5,6,8,4,3,7,2]=>[2,7,3,4,8,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,3,8,6,4,7,5,1]=>[1,5,7,4,6,8,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [4,6,1,7,8,3,2,5]=>[5,2,3,8,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,6,2,8,4,7,5,1]=>[1,5,7,4,8,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [3,5,2,8,7,4,6,1]=>[1,6,4,7,8,2,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [2,3,8,7,6,4,5,1]=>[1,5,4,6,7,8,3,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [8,5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,8,5,6,1,4,2,7]=>[7,2,4,1,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,5,1,8,6,4,2,7]=>[7,2,4,6,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,3,5,8,6,2,4,7]=>[7,4,2,6,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,5,3,8,6,4,2,1]=>[1,2,4,6,8,3,5,7]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,2,2,2]=>1 [5,1,3,8,6,4,2,7]=>[7,2,4,6,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,8,1,6,4,2,7]=>[7,2,4,6,1,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,8,3,6,4,2,7]=>[7,2,4,6,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,5,8,3,6,4,2,1]=>[1,2,4,6,3,8,5,7]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,2,2,2]=>1 [3,7,5,8,2,6,4,1]=>[1,4,6,2,8,5,7,3]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [3,1,7,8,4,2,6,5]=>[5,6,2,4,8,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,7,8,1,4,6,2,3]=>[3,2,6,4,1,8,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [1,3,7,8,4,2,6,5]=>[5,6,2,4,8,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,1,2,5,3,4,7,8]=>[8,7,4,3,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,4,6,3,7,8]=>[8,7,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,7,2,3,4,5,6,9]=>[9,6,5,4,3,2,7,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,1,2,3,5,4,7,8,9]=>[9,8,7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,1,2,5,4,3,7,8]=>[8,7,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,6,5,7,2,3,8]=>[8,3,2,7,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,7,3,1,4,8]=>[8,4,1,3,7,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,8,5,1,3,6,7,4]=>[4,7,6,3,1,5,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [8,7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7,8]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [3,8,5,6,1,2,7,4]=>[4,7,2,1,6,5,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [1,2,6,4,7,3,5,8]=>[8,5,3,7,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,4,3,7,2,5,8]=>[8,5,2,7,3,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,8,3,2,6,1,4]=>[4,1,6,2,3,8,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [4,8,5,2,3,7,6,1]=>[1,6,7,3,2,5,8,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [6,8,4,3,7,2,5,1]=>[1,5,2,7,3,4,8,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [8,4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [8,3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3,8]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>2 [7,5,6,8,1,3,2,4]=>[4,2,3,1,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>4 [6,8,5,7,3,2,4,1]=>[1,4,2,3,7,5,8,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,3,3,1]=>1 [4,7,8,2,6,5,1,3]=>[3,1,5,6,2,8,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [6,8,7,5,4,2,3,1]=>[1,3,2,4,5,7,8,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,1,1,2,1]=>1 [7,1,3,2,4,6,5,8]=>[8,5,6,4,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,5,1,6,8,4]=>[4,8,6,1,5,3,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,2,3,1,4,6,8,5]=>[5,8,6,4,1,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,5,2,1,4,8,3,7]=>[7,3,8,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,7,3,1,4,8,6,5]=>[5,6,8,4,1,3,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [1,4,6,3,7,8,5,2]=>[2,5,8,7,3,6,4,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [3,1,6,5,7,8,4,2]=>[2,4,8,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,2,6,5,8,4,7,3]=>[3,7,4,8,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,3,1,5,8,7,6,2]=>[2,6,7,8,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [4,7,6,8,1,3,5,2]=>[2,5,3,1,8,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [3,7,2,5,1,6,8,4]=>[4,8,6,1,5,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,1,3,2,5,6,8]=>[8,6,5,2,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,7,3,2,8,5]=>[5,8,2,3,7,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,2,5,6,8,4,3]=>[3,4,8,6,5,2,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [3,2,1,5,8,4,7,6]=>[6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,7,6,8,3,1,5,2]=>[2,5,1,3,8,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [2,1,6,5,8,4,3,7]=>[7,3,4,8,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,4,1,8,5,6,3,2]=>[2,3,6,5,8,1,4,7]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [3,6,4,5,7,1,8,2]=>[2,8,1,7,5,4,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,8,2,4,5,7,1,6]=>[6,1,7,5,4,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,3,2,4,1,8,5,7]=>[7,5,8,1,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,1,5,4,2,3,6,8]=>[8,6,3,2,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,1,3,6,2,8]=>[8,2,6,3,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,8,7,3,6,5,4]=>[4,5,6,3,7,8,1,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [5,8,6,3,1,2,7,4]=>[4,7,2,1,3,6,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,8,2,7,1,3,6,4]=>[4,6,3,1,7,2,8,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [2,6,5,4,1,3,7,8]=>[8,7,3,1,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,7,6,3,2,8]=>[8,2,3,6,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,2,1,8,7,5]=>[5,7,8,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [4,5,1,7,6,3,2,8]=>[8,2,3,6,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,4,7,8,2,1,6]=>[6,1,2,8,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,3,6,1,4,5,2,8]=>[8,2,5,4,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,4,5,2,8,3,6]=>[6,3,8,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,4,2,1,8,7,3,6]=>[6,3,7,8,1,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,8,6,3,1,5,2,7]=>[7,2,5,1,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,2,1,5,4,3,8,7]=>[7,8,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,8,3,6,2,7]=>[7,2,6,3,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,7,2,6,8,4,5,3]=>[3,5,4,8,6,2,7,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [1,4,2,6,7,8,5,3]=>[3,5,8,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [1,4,2,5,6,8,7,3]=>[3,7,8,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,5,3,6,7,8,4,1]=>[1,4,8,7,6,3,5,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [7,4,2,5,3,8,6,1]=>[1,6,8,3,5,2,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [6,5,8,3,1,7,2,4]=>[4,2,7,1,3,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,3,4,7,5,8,6,1]=>[1,6,8,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,6,2,4,8,5,1,7]=>[7,1,5,8,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [6,5,2,8,7,4,3,1]=>[1,3,4,7,8,2,5,6]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,1,3,1]=>1 [7,8,5,4,2,1,6,3]=>[3,6,1,2,4,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,5,2,8,6,4,3,1]=>[1,3,4,6,8,2,5,7]=>[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,1,2,2]=>1 [7,8,3,2,6,5,4,1]=>[1,4,5,6,2,3,8,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,3,1,1,2]=>1 [6,5,2,8,1,4,7,3]=>[3,7,4,1,8,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,8,6,1,3,2,7,4]=>[4,7,2,3,1,6,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [7,2,6,8,3,1,4,5]=>[5,4,1,3,8,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,8,7,4,1,3,2,5]=>[5,2,3,1,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [1,6,2,7,8,4,5,3]=>[3,5,4,8,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,6,3,2,8,1,5,4]=>[4,5,1,8,2,3,6,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [5,1,7,4,3,8,6,2]=>[2,6,8,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [8,6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [1,5,3,7,4,2,6,8]=>[8,6,2,4,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,4,3,2,8,5]=>[5,8,2,3,4,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,6,4,3,2,5,8]=>[8,5,2,3,4,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,6,2,5,1,8]=>[8,1,5,2,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,3,5,2,4,8]=>[8,4,2,5,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,3,5,2,8,4]=>[4,8,2,5,3,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,5,3,7,6,2,4,8]=>[8,4,2,6,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,2,3,7,8,6]=>[6,8,7,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,3,7,2,8,1,6,5]=>[5,6,1,8,2,7,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,2,7,5,6,1,8,4]=>[4,8,1,6,5,7,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,6,1,3,2,8,4]=>[4,8,2,3,1,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,3,4,1,8,2,6,5]=>[5,6,2,8,1,4,3,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,4,5,1,6,3,8,2]=>[2,8,3,6,1,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,6,1,4,3,8,2]=>[2,8,3,4,1,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,2,7,6,8,3,5,1]=>[1,5,3,8,6,7,2,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,2,6,4,8,5,7,1]=>[1,7,5,8,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,2,8,3,6,5,7,1]=>[1,7,5,6,3,8,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [8,1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,2,8,5,7,1,4,3]=>[3,4,1,7,5,8,2,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [6,4,8,5,7,1,3,2]=>[2,3,1,7,5,8,4,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>2 [5,3,4,1,6,2,8,7]=>[7,8,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,7,3,4,1,8,2]=>[2,8,1,4,3,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,2,7,6,8,1,4,3]=>[3,4,1,8,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [7,5,6,1,8,2,4,3]=>[3,4,2,8,1,6,5,7]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [7,3,6,1,8,2,5,4]=>[4,5,2,8,1,6,3,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,2,8,1,6,3,5,4]=>[4,5,3,6,1,8,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [3,7,4,8,2,5,6,1]=>[1,6,5,2,8,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [8,3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,7,8,5,4,3,6,1]=>[1,6,3,4,5,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [4,3,7,5,8,1,2,6]=>[6,2,1,8,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,1,5,3,6,8,2]=>[2,8,6,3,5,1,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,8,5,3,1,4,7,2]=>[2,7,4,1,3,5,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,3,4,7,5,6,2]=>[2,6,5,7,4,3,8,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [6,5,8,3,2,7,4,1]=>[1,4,7,2,3,8,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,5,7,1,2,8,3,4]=>[4,3,8,2,1,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,3,5,4,8,1,7,6]=>[6,7,1,8,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,2,4,7,8,3,5,1]=>[1,5,3,8,7,4,2,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [4,2,6,7,1,8,5,3]=>[3,5,8,1,7,6,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,7,1,6,3,8,5,4]=>[4,5,8,3,6,1,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,6,2,4,5,7,8,3]=>[3,8,7,5,4,2,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,8,5,1,2,4,6,3]=>[3,6,4,2,1,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,1,6,4,2,5,8,3]=>[3,8,5,2,4,6,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,7,6,5,3,4,8,2]=>[2,8,4,3,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,5,2,4,3,1,8]=>[8,1,3,4,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,2,4,1,7,8]=>[8,7,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,2,5,6,1,8,3]=>[3,8,1,6,5,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,7,1,6,2,5,8,4]=>[4,8,5,2,6,1,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,8,4,1,6,2,5,7]=>[7,5,2,6,1,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,7,5,2,4,1,6]=>[6,1,4,2,5,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,7,4,1,6,2,5,8]=>[8,5,2,6,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,7,2,5,1,8,3]=>[3,8,1,5,2,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,6,2,5,1,7,8,4]=>[4,8,7,1,5,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,4,2,7,6,1,5,8]=>[8,5,1,6,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,2,7,8,1,5,6]=>[6,5,1,8,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,6,2,5,1,8,4,7]=>[7,4,8,1,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,8,5,2,4,7,1,6]=>[6,1,7,4,2,5,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,4,2,7,1,5,8,6]=>[6,8,5,1,7,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,3,4,6,5,8,1,2]=>[2,1,8,5,6,4,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [7,3,6,8,1,4,5,2]=>[2,5,4,1,8,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [3,4,6,7,2,1,8,5]=>[5,8,1,2,7,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,1,8,6,4,3,2]=>[2,3,4,6,8,1,7,5]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,2,2]=>2 [7,8,5,1,2,4,3,6]=>[6,3,4,2,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [2,5,3,1,4,8,6,7]=>[7,6,8,4,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,8,1,4,3,6,7,2]=>[2,7,6,3,4,1,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [7,2,3,8,6,4,1,5]=>[5,1,4,6,8,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,7,6,3,1,2,4,8]=>[8,4,2,1,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,6,3,2,4,1,7]=>[7,1,4,2,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,2,3,7,1,4,5,8]=>[8,5,4,1,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,1,7,8,2,6]=>[6,2,8,7,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,8,6,1,2,3,5,7]=>[7,5,3,2,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [9,7,10,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,10,7,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,2,2]=>1 [6,7,3,5,8,4,1,2]=>[2,1,4,8,5,3,7,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,5,8,2,3,1,6,4]=>[4,6,1,3,2,8,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,1,3,6,2,4,8,7]=>[7,8,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,6,1,3,5,7,8,4]=>[4,8,7,5,3,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,4,2,3,1,6,5]=>[5,6,1,3,2,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [1,5,7,6,8,2,4,3]=>[3,4,2,8,6,7,5,1]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [2,6,1,4,3,7,8,5]=>[5,8,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,6,2,4,3,5,8,7]=>[7,8,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,8,5,7,6,4,1,2]=>[2,1,4,6,7,5,8,3]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [1,8,5,7,6,3,4,2]=>[2,4,3,6,7,5,8,1]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>2 [1,7,6,3,8,5,4,2]=>[2,4,5,8,3,6,7,1]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [5,3,7,6,1,8,4,2]=>[2,4,8,1,6,7,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,1,7,6,3,8,4,2]=>[2,4,8,3,6,7,1,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,5,6,3,7,8,4,2]=>[2,4,8,7,3,6,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,3,5,6,1,8,4,2]=>[2,4,8,1,6,5,3,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,3,6,1,5,8,4,2]=>[2,4,8,5,1,6,3,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,7,8,6,3,5,4,2]=>[2,4,5,3,6,8,7,1]=>[1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [3,7,5,6,1,8,4,2]=>[2,4,8,1,6,5,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,2,1,8,5,4,3,6]=>[6,3,4,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,6,2,8,4,7,3,1]=>[1,3,7,4,8,2,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [5,6,8,2,3,7,4,1]=>[1,4,7,3,2,8,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [3,1,7,6,8,5,2,4]=>[4,2,5,8,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [8,4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [5,6,8,1,7,3,4,2]=>[2,4,3,7,1,8,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [1,4,5,7,8,6,2,3]=>[3,2,6,8,7,5,4,1]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,3,7,4,6,1,2,8]=>[8,2,1,6,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,1,3,2,4,8]=>[8,4,2,3,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,1,2,7,6,8]=>[8,6,7,2,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,1,3,2,4,8]=>[8,4,2,3,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,5,1,3,6,2,4]=>[4,2,6,3,1,5,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,3,1,5,4,2,6]=>[6,2,4,5,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [3,5,4,1,7,6,2,8]=>[8,2,6,7,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,4,7,6,2,8]=>[8,2,6,7,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,8,5,1,4,6,2]=>[2,6,4,1,5,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [7,5,1,3,8,6,2,4]=>[4,2,6,8,3,1,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,1,3,8,2,5,4,6]=>[6,4,5,2,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,5,8,6,1,3,2,4]=>[4,2,3,1,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [5,7,6,8,3,1,4,2]=>[2,4,1,3,8,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>2 [3,1,5,4,2,7,6,8]=>[8,6,7,2,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,4,7,2,6,8]=>[8,6,2,7,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,1,3,8,2,4]=>[4,2,8,3,1,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,6,3,8,1,4,2]=>[2,4,1,8,3,6,7,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,1,5,7,4,2,6,8]=>[8,6,2,4,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,4,8,6,1,2]=>[2,1,6,8,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,1,3,7,6,2,4,8]=>[8,4,2,6,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,6,8,2,3,5,4]=>[4,5,3,2,8,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,6,3,7,2,4,5,8]=>[8,5,4,2,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,1,4,7,6,2,5]=>[5,2,6,7,4,1,8,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [1,7,3,4,5,2,6,8]=>[8,6,2,5,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,4,8,2,3,6,7]=>[7,6,3,2,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,2,4,8,1,7,6]=>[6,7,1,8,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [7,4,1,3,6,5,8,2]=>[2,8,5,6,3,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,2,8,5,3,1,6,7]=>[7,6,1,3,5,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,8,5,3,2,7,1,4]=>[4,1,7,2,3,5,8,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [7,2,5,3,6,1,8,4]=>[4,8,1,6,3,5,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [3,5,1,4,7,2,8,6]=>[6,8,2,7,4,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,1,8,7,3,2,6]=>[6,2,3,7,8,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [7,1,4,8,5,3,2,6]=>[6,2,3,5,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,8,2,6,7,1,5,4]=>[4,5,1,7,6,2,8,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [5,2,8,7,3,1,4,6]=>[6,4,1,3,7,8,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,1,4,3,6,5,9,7,8]=>[8,7,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [2,1,4,3,7,5,9,6,8]=>[8,6,9,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [2,1,5,3,7,4,9,6,8]=>[8,6,9,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [2,1,4,3,6,5,8,10,7,9]=>[9,7,10,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,3,6,8,5,10,7,9]=>[9,7,10,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,6,3,8,5,10,7,9]=>[9,7,10,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [6,1,3,4,5,2,8,7]=>[7,8,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,3,4,2,7,8,5]=>[5,8,7,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,5,2,3,1,4,8,7]=>[7,8,4,1,3,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,2,3,7,8,1,4]=>[4,1,8,7,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [5,4,2,1,8,3,7,6]=>[6,7,3,8,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,1,6,4,2,7,8,5]=>[5,8,7,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,4,8,2,3,5,1,6]=>[6,1,5,3,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,4,5,2,1,3,8,7]=>[7,8,3,1,2,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,8,5,1,4,6,7,2]=>[2,7,6,4,1,5,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,8,1,7,4,5,6,2]=>[2,6,5,4,7,1,8,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [3,1,6,8,4,2,7,5]=>[5,7,2,4,8,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,1,8,7,4,2,6,5]=>[5,6,2,4,7,8,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [3,7,5,6,2,8,1,4]=>[4,1,8,2,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,4,5,6,2,8,1,3]=>[3,1,8,2,6,5,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,5,2,8,3,6,7,4]=>[4,7,6,3,8,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,2,4,7,3,5,1,8]=>[8,1,5,3,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,2,7,8,6,3]=>[3,6,8,7,2,1,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,8,5,1,2,6,7,3]=>[3,7,6,2,1,5,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,6,7,5,1,2,8,3]=>[3,8,2,1,5,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,1,4,7,3,8,2,5]=>[5,2,8,3,7,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,8,4,6,3,1,5,7]=>[7,5,1,3,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,7,4,1,5,8,2,6]=>[6,2,8,5,1,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,8,4,1,7,2,5,6]=>[6,5,2,7,1,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,6,1,8,2,3,7,4]=>[4,7,3,2,8,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,6,1,2,8,4,7,3]=>[3,7,4,8,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,7,8,3,6,4,2,1]=>[1,2,4,6,3,8,7,5]=>[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,2,2,2]=>1 [5,7,8,1,6,4,2,3]=>[3,2,4,6,1,8,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [3,7,5,8,6,4,2,1]=>[1,2,4,6,8,5,7,3]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,2,2,2]=>1 [1,7,3,8,6,4,2,5]=>[5,2,4,6,8,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,1,8,5,6,4,2,3]=>[3,2,4,6,5,8,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [7,3,5,8,6,4,2,1]=>[1,2,4,6,8,5,3,7]=>[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,2,2,2]=>1 [8,1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,8,3,5,6,4,2,7]=>[7,2,4,6,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,6,1,2,3,8,4,5]=>[5,4,8,3,2,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,5,2,3,1,8,4,6]=>[6,4,8,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,7,3,5,8,4,1,6]=>[6,1,4,8,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,7,6,2,5,8,4,1]=>[1,4,8,5,2,6,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,2,7,3,4,8,1,6]=>[6,1,8,4,3,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6,8]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,3,2,1]=>1 [4,7,2,3,5,8,1,6]=>[6,1,8,5,3,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,8,3,6,4,1,7]=>[7,1,4,6,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,4,2,1,5,3,8,6]=>[6,8,3,5,1,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,6,8,2,3,5,1]=>[1,5,3,2,8,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [3,6,8,7,1,2,4,5]=>[5,4,2,1,7,8,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [3,2,7,1,5,6,4,8]=>[8,4,6,5,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,7,1,6,5,2,3]=>[3,2,5,6,1,7,8,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [4,2,1,6,5,7,8,3]=>[3,8,7,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,1,5,6,7,2,8]=>[8,2,7,6,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,8,2,6,3,7,1]=>[1,7,3,6,2,8,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,2,1,4,7,3,6,8]=>[8,6,3,7,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,4,1,3,6,8]=>[8,6,3,1,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,4,5,6,1,2,8]=>[8,2,1,6,5,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,4,6,5,1,8,3]=>[3,8,1,5,6,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,3,7,4,5,1,6,8]=>[8,6,1,5,4,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,1,2,8,5,4]=>[4,5,8,2,1,3,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,8,7,5,2,1,4,3]=>[3,4,1,2,5,7,8,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>3 [7,8,2,6,3,1,4,5]=>[5,4,1,3,6,2,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [2,8,6,3,5,1,4,7]=>[7,4,1,5,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,2,6,3,1,4,5,8]=>[8,5,4,1,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,6,4,1,5,2,3]=>[3,2,5,1,4,6,8,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>3 [2,7,6,5,3,4,1,8]=>[8,1,4,3,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [1,2,8,6,4,5,3,7]=>[7,3,5,4,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,8,7,6,3,4,2]=>[2,4,3,6,7,8,5,1]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [1,4,7,8,5,6,3,2]=>[2,3,6,5,8,7,4,1]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [1,4,8,5,6,3,2,7]=>[7,2,3,6,5,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,4,8,5,7,3,2]=>[2,3,7,5,8,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>2 [1,7,3,2,6,8,5,4]=>[4,5,8,6,2,3,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,6,8,5,2,7,3,4]=>[4,3,7,2,5,8,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,7,4,5,8,6,2,3]=>[3,2,6,8,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,3,4,8,5,2,7,6]=>[6,7,2,5,8,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,3,8,5,2,4,7,6]=>[6,7,4,2,5,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,5,8,7,6,2,4,1]=>[1,4,2,6,7,8,5,3]=>[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,3,2,1,1]=>1 [6,5,3,7,4,1,8,2]=>[2,8,1,4,7,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,1,4,5,7,8,2]=>[2,8,7,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,2,3,6,8,1,7]=>[7,1,8,6,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [8,2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [3,1,7,8,6,2,5,4]=>[4,5,2,6,8,7,1,3]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [4,8,1,2,6,5,7,3]=>[3,7,5,6,2,1,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,6,1,8,3,7,2,4]=>[4,2,7,3,8,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,8,1,6,5,3,7,4]=>[4,7,3,5,6,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,1,2,5,7,6,8,3]=>[3,8,6,7,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,5,1,7,8,6,2]=>[2,6,8,7,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,8,5,2,3,4,7,6]=>[6,7,4,3,2,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,9,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,9,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[6,2,1]=>6 [3,4,5,8,1,2,6,9,7]=>[7,9,6,2,1,8,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [3,2,5,6,4,8,1,7]=>[7,1,8,4,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,6,4,1,7,5,8]=>[8,5,7,1,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,1,5,8,4,6]=>[6,4,8,5,1,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,6,1,7,5,8,4]=>[4,8,5,7,1,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,6,5,1,7,4,8]=>[8,4,7,1,5,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,4,2,1,5,7,8]=>[8,7,5,1,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,6,5,8,1,7]=>[7,1,8,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,2,1,7,8,3]=>[3,8,7,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,1,7,5,8,3,2]=>[2,3,8,5,7,1,6,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [4,2,6,5,1,7,8,3]=>[3,8,7,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,5,7,6,8,3,2]=>[2,3,8,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [3,5,6,2,1,4,7,8]=>[8,7,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,7,6,8,3,1]=>[1,3,8,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,3,6,5,2,8,1,7]=>[7,1,8,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,6,5,1,7,8,2]=>[2,8,7,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,4,5,2,1,7,8]=>[8,7,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,4,2,8,1,7]=>[7,1,8,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,3,1,7,8,2]=>[2,8,7,1,3,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,2,3,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,8,1,4,2,3,6,7]=>[7,6,3,2,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,5,4,8,1,7,2,6]=>[6,2,7,1,8,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,2,5,6,8,3,7,4]=>[4,7,3,8,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,6,8,1,2,4,7,3]=>[3,7,4,2,1,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,8,1,4,5,7,2,3]=>[3,2,7,5,4,1,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,3,5,1,8,6,7,2]=>[2,7,6,8,1,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,3,5,6,8,4,7,2]=>[2,7,4,8,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,6,8,2,3,4,7,1]=>[1,7,4,3,2,8,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,8,7,2,1,3,6,4]=>[4,6,3,1,2,7,8,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [5,1,7,2,8,6,3,4]=>[4,3,6,8,2,7,1,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [6,1,5,3,4,8,7,2]=>[2,7,8,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,8,6,3,2,1,4,7]=>[7,4,1,2,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,5,1,4,8,2,3,6]=>[6,3,2,8,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,2,8,1,7,5,6,4]=>[4,6,5,7,1,8,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [8,4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [7,4,3,1,8,5,2,6]=>[6,2,5,8,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,8,1,6,3,4,5,2]=>[2,5,4,3,6,1,8,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>2 [6,8,1,7,3,4,2,5]=>[5,2,4,3,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [4,3,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,3,7,6,4,5,8,2]=>[2,8,5,4,6,7,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,5,3,8,6,2,7]=>[7,2,6,8,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,5,8,4,7,6,2]=>[2,6,7,4,8,5,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [1,4,2,6,7,5,8,3]=>[3,8,5,7,6,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,8,6,3,5,2,4,1]=>[1,4,2,5,3,6,8,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>1 [6,3,7,5,2,4,1,8]=>[8,1,4,2,5,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,4,5,7,3,6]=>[6,3,7,5,4,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,1,7,4,5,3,2,8]=>[8,2,3,5,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,3,7,5,1,4,6]=>[6,4,1,5,7,3,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,8,5,4,7,3,6,1]=>[1,6,3,7,4,5,8,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [5,3,1,2,6,7,4,8]=>[8,4,7,6,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,3,4,2,5,8]=>[8,5,2,4,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,8,6,2,1,5]=>[5,1,2,6,8,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,8,5,4,7,2,6,1]=>[1,6,2,7,4,5,8,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [4,8,5,3,7,1,6,2]=>[2,6,1,7,3,5,8,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [3,8,2,6,5,7,4,1]=>[1,4,7,5,6,2,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [3,1,7,2,5,8,6,4]=>[4,6,8,5,2,7,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,3,7,8,1,6,5,2]=>[2,5,6,1,8,7,3,4]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [2,8,7,6,3,5,1,4]=>[4,1,5,3,6,7,8,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [2,8,4,7,6,5,1,3]=>[3,1,5,6,7,4,8,2]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [2,8,7,1,5,6,4,3]=>[3,4,6,5,1,7,8,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [3,5,6,2,8,1,7,4]=>[4,7,1,8,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,1,4,6,8,2,7,5]=>[5,7,2,8,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,1,5,7,3,8,2,6]=>[6,2,8,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,2,5,8,4,7,3,1]=>[1,3,7,4,8,5,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [7,2,8,5,4,3,6,1]=>[1,6,3,4,5,8,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [7,1,6,8,2,5,3,4]=>[4,3,5,2,8,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [3,4,7,5,2,1,8,6]=>[6,8,1,2,5,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,6,7,5,8,4,1,2]=>[2,1,4,8,5,7,6,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,4,7,2,5,6,8,1]=>[1,8,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,3,7,8,6,4,1]=>[1,4,6,8,7,3,5,2]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [6,2,3,8,5,4,7,1]=>[1,7,4,5,8,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,8,7,3,2,4,5,1]=>[1,5,4,2,3,7,8,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,4,2,1]=>1 [6,1,4,8,5,7,2,3]=>[3,2,7,5,8,4,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,8,5,1,4,6,7,3]=>[3,7,6,4,1,5,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,3,1,6,5,8,4,7]=>[7,4,8,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,7,6,3,8,5,1,4]=>[4,1,5,8,3,6,7,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [5,8,7,2,6,4,1,3]=>[3,1,4,6,2,7,8,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [5,8,7,3,6,2,1,4]=>[4,1,2,6,3,7,8,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [6,8,5,1,7,4,3,2]=>[2,3,4,7,1,5,8,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,3,1]=>2 [6,8,5,2,7,4,1,3]=>[3,1,4,7,2,5,8,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [6,8,5,3,7,1,4,2]=>[2,4,1,7,3,5,8,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [6,8,5,4,1,7,3,2]=>[2,3,7,1,4,5,8,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [7,3,8,6,5,2,1,4]=>[4,1,2,5,6,8,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,4,8,6,3,2,1,5]=>[5,1,2,3,6,8,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [7,5,8,1,6,4,3,2]=>[2,3,4,6,1,8,5,7]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,1,2,2]=>2 [7,5,8,2,6,4,1,3]=>[3,1,4,6,2,8,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [7,6,2,8,5,4,1,3]=>[3,1,4,5,8,2,6,7]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [6,5,4,2,1,8,7,3]=>[3,7,8,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,1,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,7,6,1,4,5,2,8]=>[8,2,5,4,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,5,3,1,4,8]=>[8,4,1,3,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,7,6,2,5,8]=>[8,5,2,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,1,2,8,6,7]=>[7,6,8,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,5,3,1,8,6,7]=>[7,6,8,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,7,6,2,3,1,4,8]=>[8,4,1,3,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,8,5,6,3,1,7]=>[7,1,3,6,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,5,7,4,1,3,6,8]=>[8,6,3,1,4,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,7,4,1,6,8]=>[8,6,1,4,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,6,3,2,7,8]=>[8,7,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,3,2,4,7,8]=>[8,7,4,2,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,1,6,3,7,8]=>[8,7,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,8,7,6,2,1]=>[1,2,6,7,8,4,3,5]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,4,1,1]=>1 [1,8,2,6,7,4,5,3]=>[3,5,4,7,6,2,8,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [8,5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [1,2,8,3,4,7,6,5]=>[5,6,7,4,3,8,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [6,8,5,2,7,1,3,4]=>[4,3,1,7,2,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [8,2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [6,3,4,7,2,8,5,1]=>[1,5,8,2,7,4,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,6,4,1,8,2,3,7]=>[7,3,2,8,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,5,8,3,2,6,7]=>[7,6,2,3,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,6,8,3,5,4,1]=>[1,4,5,3,8,6,7,2]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [4,6,7,3,1,2,8,5]=>[5,8,2,1,3,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,3,7,4,5,8,1]=>[1,8,5,4,7,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,2,7,1,5,8,3]=>[3,8,5,1,7,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,5,3,6,4,7,8,1]=>[1,8,7,4,6,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,5,3,6,7,8,1]=>[1,8,7,6,3,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,6,5,2,4,7,3,8]=>[8,3,7,4,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,7,2,5,4,3,6]=>[6,3,4,5,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,5,4,2,7,3,6,8]=>[8,6,3,7,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,2,8,7,3,6]=>[6,3,7,8,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,7,6,2,3,5,8,4]=>[4,8,5,3,2,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,8,4,3,2,5,7]=>[7,5,2,3,4,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,6,5,3,8,4,7]=>[7,4,8,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,7,3,2,8,4,6,5]=>[5,6,4,8,2,3,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,8,3,7,2,4,6,5]=>[5,6,4,2,7,3,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [8,6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [7,3,2,6,1,5,8,4]=>[4,8,5,1,6,2,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,8,5,2,7,1,4,3]=>[3,4,1,7,2,5,8,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [6,8,2,5,1,7,4,3]=>[3,4,7,1,5,2,8,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [6,7,2,1,5,8,3,4]=>[4,3,8,5,1,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,7,5,2,8,1,3,4]=>[4,3,1,8,2,5,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,6,8,1,7,4,2,3]=>[3,2,4,7,1,8,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [5,8,1,2,6,7,4,3]=>[3,4,7,6,2,1,8,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [6,8,5,7,2,1,4,3]=>[3,4,1,2,7,5,8,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>3 [4,1,8,2,5,7,6,3]=>[3,6,7,5,2,8,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [6,5,8,2,7,4,1,3]=>[3,1,4,7,2,8,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [6,2,5,7,3,1,8,4]=>[4,8,1,3,7,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,1,7,5,8,4,3]=>[3,4,8,5,7,1,2,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [3,5,6,2,8,7,1,4]=>[4,1,7,8,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,2,8,6,1,3,7,4]=>[4,7,3,1,6,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,2,3,8,6,1,7,4]=>[4,7,1,6,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,1,8,3,6,2,7,4]=>[4,7,2,6,3,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,5,1,8,7,6,4,3]=>[3,4,6,7,8,1,5,2]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,1,2,1,1]=>3 [4,2,5,7,6,8,1,3]=>[3,1,8,6,7,5,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,1,7,6,2,5,8,3]=>[3,8,5,2,6,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,7,6,5,8,2,3]=>[3,2,8,5,6,7,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2,8]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [6,5,4,1,3,7,8,2]=>[2,8,7,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,2,1,7,6,4,8,3]=>[3,8,4,6,7,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,3,6,7,8,1,5]=>[5,1,8,7,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,1,7,2,8,3,6]=>[6,3,8,2,7,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,8,5,2,7,3,1,4]=>[4,1,3,7,2,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [7,5,2,4,1,8,3,6]=>[6,3,8,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5,8]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>3 [7,1,2,8,5,4,6,3]=>[3,6,4,5,8,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,8,5,2,6,3,1,4]=>[4,1,3,6,2,5,8,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>4 [5,1,7,2,6,8,3,4]=>[4,3,8,6,2,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,5,1,3,7,8,2,4]=>[4,2,8,7,3,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,2,1,4,3,5,8,6]=>[6,8,5,3,4,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,2,5,4,3,8,6]=>[6,8,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,1,2,4,6,3,8,5]=>[5,8,3,6,4,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,8,5,7,2,3,4]=>[4,3,2,7,5,8,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [1,6,7,5,8,3,4,2]=>[2,4,3,8,5,7,6,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,1,7,5,8,2,3,4]=>[4,3,2,8,5,7,1,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,1,8,7,5,2,3,4]=>[4,3,2,5,7,8,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [6,3,1,2,4,7,5,8]=>[8,5,7,4,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,4,2,3,5,8]=>[8,5,3,2,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,8,5,6,2,7,1]=>[1,7,2,6,5,8,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,3,8,6,7,2,5,1]=>[1,5,2,7,6,8,3,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [7,6,8,1,5,3,4,2]=>[2,4,3,5,1,8,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [7,4,6,1,5,3,8,2]=>[2,8,3,5,1,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,8,3,7,4,5,2]=>[2,5,4,7,3,8,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [8,3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [7,2,3,1,5,4,8,6]=>[6,8,4,5,1,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,1,5,4,8,2,7,3]=>[3,7,2,8,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,1,8,5,7,3,4,2]=>[2,4,3,7,5,8,1,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [6,2,5,4,7,1,8,3]=>[3,8,1,7,4,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,6,3,4,8,7,5,1]=>[1,5,7,8,4,3,6,2]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [8,4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4,8]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [8,1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [8,7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7,8]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [8,3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3,8]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [8,2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [2,7,1,8,5,6,4,3]=>[3,4,6,5,8,1,7,2]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [2,7,8,6,1,5,3,4]=>[4,3,5,1,6,8,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [4,6,8,2,3,5,1,7]=>[7,1,5,3,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,5,1,6,4,8,2,7]=>[7,2,8,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,5,8,6,2,1,4,7]=>[7,4,1,2,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,4,8,5,6,1,3,7]=>[7,3,1,6,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,8,2,5,6,1,3,7]=>[7,3,1,6,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,3,8,4,2,7,6,1]=>[1,6,7,2,4,8,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [8,7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [3,8,2,7,5,4,6,1]=>[1,6,4,5,7,2,8,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [8,7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [8,4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,3,8,6,2,1,4,5]=>[5,4,1,2,6,8,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [5,8,6,4,7,2,3,1]=>[1,3,2,7,4,6,8,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,4,1]=>1 [3,6,8,5,7,4,2,1]=>[1,2,4,7,5,8,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,2,3,1]=>1 [6,7,5,2,4,8,3,1]=>[1,3,8,4,2,5,7,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [8,1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [6,7,5,4,8,1,3,2]=>[2,3,1,8,4,5,7,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [8,5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [6,4,8,7,5,3,2,1]=>[1,2,3,5,7,8,4,6]=>[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,2,2,1]=>1 [1,3,7,6,8,4,2,5]=>[5,2,4,8,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,6,7,3,2,8,5,4]=>[4,5,8,2,3,7,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,2,7,6,8,4,5,1]=>[1,5,4,8,6,7,2,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [1,3,8,5,2,7,6,4]=>[4,6,7,2,5,8,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [7,6,5,3,1,8,2,4]=>[4,2,8,1,3,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,5,1,4,7,3,6,8]=>[8,6,3,7,4,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,5,7,2,4,8]=>[8,4,2,7,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,5,7,4,8,3]=>[3,8,4,7,5,1,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,5,7,1,6,3,8,4]=>[4,8,3,6,1,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,6,1,5,7,4,3,8]=>[8,3,4,7,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,5,2,4,7,8]=>[8,7,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,1,4,2,7,8]=>[8,7,2,4,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,1,7,2,4,8]=>[8,4,2,7,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,2,1,4,7,8]=>[8,7,4,1,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,6,1,7,2,8]=>[8,2,7,1,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,2,7,6,1,3,8]=>[8,3,1,6,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,3,1,2,7,8]=>[8,7,2,1,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,6,3,7,2,8]=>[8,2,7,3,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,6,3,7,8,1]=>[1,8,7,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,5,7,1,4,2,8]=>[8,2,4,1,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,1,4,7,2,8]=>[8,2,7,4,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,5,7,1,2,8]=>[8,2,1,7,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,5,1,3,7,8]=>[8,7,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,5,3,7,8,2]=>[2,8,7,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,2,5,7,6,1,3,8]=>[8,3,1,6,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,6,1,2,5,8]=>[8,5,2,1,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,7,6,3,8,1]=>[1,8,3,6,7,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,1,6,5,2,7,3,8]=>[8,3,7,2,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,7,2,1,4,8]=>[8,4,1,2,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,6,2,4,1,8]=>[8,1,4,2,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,6,3,7,1,8]=>[8,1,7,3,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,2,7,3,1,8]=>[8,1,3,7,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,2,1,7,3,8]=>[8,3,7,1,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,8,2,4,6,7,1]=>[1,7,6,4,2,8,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,1,3,8,2,4,6,7]=>[7,6,4,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,8,2,1,4,3,6,7]=>[7,6,3,4,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,2,4,3,6,1,7]=>[7,1,6,3,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,2,4,6,3,7,1]=>[1,7,3,6,4,2,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [3,8,4,6,7,2,5,1]=>[1,5,2,7,6,4,8,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [8,4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [8,4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [8,6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [1,8,6,4,2,3,5,7]=>[7,5,3,2,4,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,1,6,2,4,5,7]=>[7,5,4,2,6,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,6,2,1,4,5,7]=>[7,5,4,1,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,6,2,4,1,5,7]=>[7,5,1,4,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [8,2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [1,8,4,6,7,5,2,3]=>[3,2,5,7,6,4,8,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [8,4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [8,4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [2,7,1,6,3,5,8,4]=>[4,8,5,3,6,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,2,5,8,4,7,3]=>[3,7,4,8,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,7,2,1,6,8,3,5]=>[5,3,8,6,1,2,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,4,2,6,8,3,5]=>[5,3,8,6,2,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,8,4,6,7,2,5]=>[5,2,7,6,4,8,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,3,1,8,5,6,2,7]=>[7,2,6,5,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,1,7,5,3,8,6]=>[6,8,3,5,7,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,7,6,1,4,8,5]=>[5,8,4,1,6,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,8,6,1,4,7,5]=>[5,7,4,1,6,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,6,8,5,1,7,4,3]=>[3,4,7,1,5,8,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [4,3,1,7,8,5,2,6]=>[6,2,5,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,5,2,6,8,7,4]=>[4,7,8,6,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,6,8,2,4,3,7,1]=>[1,7,3,4,2,8,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,1,7,6,4,2,3,8]=>[8,3,2,4,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,8,6,4,2,3,7]=>[7,3,2,4,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,8,6,4,7,3,5]=>[5,3,7,4,6,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,3,2,7,8,6,4,1]=>[1,4,6,8,7,2,3,5]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [1,4,8,7,2,5,6,3]=>[3,6,5,2,7,8,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [2,8,3,7,1,4,6,5]=>[5,6,4,1,7,3,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,7,1,5,3,6,4]=>[4,6,3,5,1,7,8,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [3,1,7,4,2,5,6,8]=>[8,6,5,2,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,8,3,5,6,4]=>[4,6,5,3,8,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,3,5,6,4,2,8,1]=>[1,8,2,4,6,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,8,4,2,7,6,5,1]=>[1,5,6,7,2,4,8,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,1,1,1]=>1 [5,1,6,4,3,7,2,8]=>[8,2,7,3,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,6,4,1,8,5]=>[5,8,1,4,6,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,8,3,2,7,5,6,1]=>[1,6,5,7,2,3,8,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [3,8,1,6,4,5,2,7]=>[7,2,5,4,6,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,4,3,6,2,1,8,5]=>[5,8,1,2,6,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,2,4,8,6,3,7,5]=>[5,7,3,6,8,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,2,1,5,3,4,8,6]=>[6,8,4,3,5,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [1,8,6,4,7,5,3,2]=>[2,3,5,7,4,6,8,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,2,2,1]=>2 [7,4,1,5,8,6,3,2]=>[2,3,6,8,5,1,4,7]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [1,8,6,4,7,5,2,3]=>[3,2,5,7,4,6,8,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [2,7,4,6,3,8,5,1]=>[1,5,8,3,6,4,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [1,2,8,6,4,7,5,3]=>[3,5,7,4,6,8,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [3,4,5,6,7,8,10,1,2,9]=>[9,2,1,10,8,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [4,1,8,6,3,7,5,2]=>[2,5,7,3,6,8,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>2 [7,1,8,4,3,2,5,6]=>[6,5,2,3,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,7,5,4,8,2,3,6]=>[6,3,2,8,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,5,1,7,4,2,6,8]=>[8,6,2,4,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,1,6,3,2,5,8]=>[8,5,2,3,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,6,5,4,2,8,3,7]=>[7,3,8,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,5,4,3,8,1,6,2]=>[2,6,1,8,3,4,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [8,5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [5,7,2,8,6,3,1,4]=>[4,1,3,6,8,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,7,2,8,6,4,3,5]=>[5,3,4,6,8,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,2,1,7,8,3,6,4]=>[4,6,3,8,7,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,5,4,2,7,3,8,1]=>[1,8,3,7,2,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,4,2,7,1,8,3]=>[3,8,1,7,2,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,3,1,6,2,8,7,4]=>[4,7,8,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,5,4,1,7,8,2,6]=>[6,2,8,7,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,5,4,3,1,6,8,2]=>[2,8,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,4,2,1,5,7,3,8]=>[8,3,7,5,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,8,7,2,4,6]=>[6,4,2,7,8,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,2,5,7,8,4,6,1]=>[1,6,4,8,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,3,7,4,2,6,8,1]=>[1,8,6,2,4,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,7,4,2,6,1,8]=>[8,1,6,2,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,8,4,2,1,6,7]=>[7,6,1,2,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,8,4,3,1,6,7]=>[7,6,1,3,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,8,4,3,2,6,7]=>[7,6,2,3,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,7,4,3,6,1,8]=>[8,1,6,3,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,4,3,6,8,1]=>[1,8,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,7,4,1,6,8,2]=>[2,8,6,1,4,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,1,5,7,8,4,6,2]=>[2,6,4,8,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [3,1,5,7,8,4,2,6]=>[6,2,4,8,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,2,7,4,1,3,8,6]=>[6,8,3,1,4,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,2,3,7,4,8,5,1]=>[1,5,8,4,7,3,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,2,3,7,4,8,1,5]=>[5,1,8,4,7,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,2,3,7,4,5,1,8]=>[8,1,5,4,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,7,4,5,8,2]=>[2,8,5,4,7,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,1,3,7,4,5,2,8]=>[8,2,5,4,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,6,3,5,4,2,7]=>[7,2,4,5,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,6,1,8,5,3,4,7]=>[7,4,3,5,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,7,8,1,6,3,2]=>[2,3,6,1,8,7,5,4]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [2,5,7,8,4,6,3,1]=>[1,3,6,4,8,7,5,2]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [1,8,6,7,5,2,4,3]=>[3,4,2,5,7,6,8,1]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>3 [1,8,2,7,5,3,4,6]=>[6,4,3,5,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,4,1,5,8,6,7,3]=>[3,7,6,8,5,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,6,8,3,4,2,7,1]=>[1,7,2,4,3,8,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,1,5,3,8,6,7,2]=>[2,7,6,8,3,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [7,4,2,8,3,6,1,5]=>[5,1,6,3,8,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,1,3,2,4,5,6,8]=>[8,6,5,4,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,8,7,1,4,2,5,6]=>[6,5,2,4,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,3,2,1,4,6,8,7]=>[7,8,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,2,4,8,1,6,7]=>[7,6,1,8,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,2,4,7,1,8,6]=>[6,8,1,7,4,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,3,2,8,4,6,7,1]=>[1,7,6,4,8,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,7,8,6,3,2,5,1]=>[1,5,2,3,6,8,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [8,4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [5,3,1,7,2,4,8,6]=>[6,8,4,2,7,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [5,3,2,8,4,7,1,6]=>[6,1,7,4,8,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,8,1,7,3,5,6,2]=>[2,6,5,3,7,1,8,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [5,3,2,4,8,7,1,6]=>[6,1,7,8,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,3,2,4,6,8,1,7]=>[7,1,8,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,2,8,4,7,3,6]=>[6,3,7,4,8,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,1,7,4,6,3,2]=>[2,3,6,4,7,1,8,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>2 [2,7,6,3,1,4,8,5]=>[5,8,4,1,3,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,4,5,6,8,2,1]=>[1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [8,7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [4,6,8,3,7,1,5,2]=>[2,5,1,7,3,8,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [8,7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [1,2,6,5,7,8,3,4]=>[4,3,8,7,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,6,4,2,8,3,1,5]=>[5,1,3,8,2,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,5,4,1,3,6,8,2]=>[2,8,6,3,1,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,2,6,4,8,3,5,7]=>[7,5,3,8,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [3,6,7,2,5,1,8,4]=>[4,8,1,5,2,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,1,7,8,4,6,2]=>[2,6,4,8,7,1,5,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,5,2,4,6,8,7,3]=>[3,7,8,6,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [8,1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1,8]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,2,1,1,1]=>3 [4,3,8,5,1,7,6,2]=>[2,6,7,1,5,8,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [6,1,3,2,8,5,7,4]=>[4,7,5,8,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,1,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [8,5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,3,8,4,7,5,2,6]=>[6,2,5,7,4,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,3,7,1,4,6,8,2]=>[2,8,6,4,1,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [5,2,7,4,6,8,3,1]=>[1,3,8,6,4,7,2,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,8,6,3,7,2,1,5]=>[5,1,2,7,3,6,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [4,7,8,5,1,6,2,3]=>[3,2,6,1,5,8,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [4,5,2,1,6,7,8,3]=>[3,8,7,6,1,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,5,6,7,4,1,8,2]=>[2,8,1,4,7,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,1,4,2,6,8,7]=>[7,8,6,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,7,5,6,2,3,8]=>[8,3,2,6,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,4,2,3,7,5,6]=>[6,5,7,3,2,4,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,5,2,3,8,6,7,4]=>[4,7,6,8,3,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,6,5,3,7,4,2,8]=>[8,2,4,7,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,8,3,2,7,6,5]=>[5,6,7,2,3,8,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [1,3,7,6,5,2,4,8]=>[8,4,2,5,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,8,4,2,6,7]=>[7,6,2,4,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,8,2,4,7,5,3,6]=>[6,3,5,7,4,2,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [1,6,5,4,2,7,3,8]=>[8,3,7,2,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,8,6,7,5,4,3]=>[3,4,5,7,6,8,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,1,2,1]=>3 [1,3,8,6,5,4,2,7]=>[7,2,4,5,6,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,7,5,4,3,2,6,8]=>[8,6,2,3,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,5,7,4,6,2,1]=>[1,2,6,4,7,5,8,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,4,1,1]=>1 [8,6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,8,7,4,5,2,6,1]=>[1,6,2,5,4,7,8,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [6,5,2,4,1,3,8,7]=>[7,8,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,6,3,2,5,1,8,4]=>[4,8,1,5,2,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,7,8,3,6,1,5]=>[5,1,6,3,8,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,6,3,7,5,8,2,1]=>[1,2,8,5,7,3,6,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,2,5,7,8,6,3,1]=>[1,3,6,8,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [8,2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [4,2,5,8,7,6,3,1]=>[1,3,6,7,8,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,1,1]=>1 [6,7,2,4,5,1,8,3]=>[3,8,1,5,4,2,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,2,7,8,3,6,1,4]=>[4,1,6,3,8,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,2,8,3,1,6,4,5]=>[5,4,6,1,3,8,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,2,3,4,1,8,5,6]=>[6,5,8,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,1,3,8,6,2,5,4]=>[4,5,2,6,8,3,1,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [2,4,7,8,1,3,6,5]=>[5,6,3,1,8,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,7,3,8,6,1,5,4]=>[4,5,1,6,8,3,7,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [8,4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [5,2,8,3,1,4,7,6]=>[6,7,4,1,3,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>5 [6,2,8,4,1,3,7,5]=>[5,7,3,1,4,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [8,1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7,8]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>3 [5,8,3,1,2,7,4,6]=>[6,4,7,2,1,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [3,4,8,2,1,7,6,5]=>[5,6,7,1,2,8,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>5 [8,4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5,8]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>2 [8,4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4,8]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [8,3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3,8]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [4,2,6,8,1,5,7,3]=>[3,7,5,1,8,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,6,2,4,8,1,7,5]=>[5,7,1,8,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,2,5,8,3,6,1,7]=>[7,1,6,3,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,2,6,8,3,7,4]=>[4,7,3,8,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,5,8,1,4,6,2,7]=>[7,2,6,4,1,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,7,8,3,6,2,4]=>[4,2,6,3,8,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,4,8,3,5,2,1,6]=>[6,1,2,5,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,2,8,4,1,3,5,6]=>[6,5,3,1,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,2,1,7,3,8,4,5]=>[5,4,8,3,7,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,8,2,1,3,4,6,7]=>[7,6,4,3,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,2,5,1,8,3,6,7]=>[7,6,3,8,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,4,2,8,3,1,5,6]=>[6,5,1,3,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,4,2,8,3,5,1,6]=>[6,1,5,3,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,7,2,8,5,1,4,3]=>[3,4,1,5,8,2,7,6]=>[1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>3 [6,7,8,5,2,1,4,3]=>[3,4,1,2,5,8,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [1,6,2,7,8,4,3,5]=>[5,3,4,8,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [9,2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2,9]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,6,1,1]=>1 [7,3,4,1,8,6,2,5]=>[5,2,6,8,1,4,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,7,6,5,2,4,8,1]=>[1,8,4,2,5,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,4,7,8,6,2,5,3]=>[3,5,2,6,8,7,4,1]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [2,1,5,3,4,8,7,6]=>[6,7,8,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [6,8,2,3,5,7,4,1]=>[1,4,7,5,3,2,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [6,2,4,3,8,7,1,5]=>[5,1,7,8,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [9,8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8,9]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>2 [8,7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7,8]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>2 [9,1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,1,1,2,1]=>2 [2,5,7,3,8,1,6,4]=>[4,6,1,8,3,7,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [4,3,8,6,5,2,7,1]=>[1,7,2,5,6,8,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [8,4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [4,1,8,6,5,7,2,3]=>[3,2,7,5,6,8,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [8,1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1,8]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7,8]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [2,1,3,6,8,4,7,5]=>[5,7,4,8,6,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,2,3,6,5,8,1,4]=>[4,1,8,5,6,3,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,4,7,3,1,2,6,8]=>[8,6,2,1,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,1,6,5,2,7,8]=>[8,7,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,1,5,4,3,8]=>[8,3,4,5,1,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,6,7,4,1,8]=>[8,1,4,7,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,2,6,1,3,8]=>[8,3,1,6,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,8,5,4,3,6]=>[6,3,4,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,1,2,8,5,4,3,6]=>[6,3,4,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,3,2,6,1,4,8,5]=>[5,8,4,1,6,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,5,6,2,4,8,1]=>[1,8,4,2,6,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,5,6,8,4,1,7]=>[7,1,4,8,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,1,8,5,4,3,7]=>[7,3,4,5,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,2,6,8,5,4,3,1]=>[1,3,4,5,8,6,2,7]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,3]=>1 [7,6,8,2,5,4,3,1]=>[1,3,4,5,2,8,6,7]=>[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>1 [3,7,5,6,2,4,1,8]=>[8,1,4,2,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,1,3,6,8,7]=>[7,8,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,2,5,8,6,3,4,1]=>[1,4,3,6,8,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [5,8,2,6,7,3,4,1]=>[1,4,3,7,6,2,8,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,3,1]=>1 [7,2,4,3,8,6,5,1]=>[1,5,6,8,3,4,2,7]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [7,3,4,2,8,6,1,5]=>[5,1,6,8,2,4,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,6,4,8,1,2,7,5]=>[5,7,2,1,8,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [3,7,1,4,8,2,6,5]=>[5,6,2,8,4,1,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,6,1,2,8,3,4,5]=>[5,4,3,8,2,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,5,2,1,3,8,4,7]=>[7,4,8,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,1,2,7,8,4,5]=>[5,4,8,7,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,1,7,4,8,2,5]=>[5,2,8,4,7,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,4,6,2,8,1,3,5]=>[5,3,1,8,2,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5,8]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>3 [6,1,3,5,7,4,8,2]=>[2,8,4,7,5,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,5,1,7,2,6,8]=>[8,6,2,7,1,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,6,2,5,1,4,8]=>[8,4,1,5,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,1,2,7,3,8]=>[8,3,7,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,4,2,3,1,7,5]=>[5,7,1,3,2,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [7,5,1,3,4,8,2,6]=>[6,2,8,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,8,5,4,7,2,3,6]=>[6,3,2,7,4,5,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [3,1,4,5,8,6,2,7]=>[7,2,6,8,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,8,3,2,5,4,6,7]=>[7,6,4,5,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,7,8,1,3,2,4,6]=>[6,4,2,3,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,8,6,1,3,5,4,2]=>[2,4,5,3,1,6,8,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>2 [6,3,1,2,8,7,5,4]=>[4,5,7,8,2,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [1,2,5,7,8,3,6,4]=>[4,6,3,8,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,6,3,4,2,1,8,5]=>[5,8,1,2,4,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,3,5,8,7,1,4,6]=>[6,4,1,7,8,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,4,5,8,1,7,2,6]=>[6,2,7,1,8,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,3,4,2,7,1,5,8]=>[8,5,1,7,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,7,8,2,1,4]=>[4,1,2,8,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,5,6,2,7,1,8,3]=>[3,8,1,7,2,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,8,6,2,1,7,3,4]=>[4,3,7,1,2,6,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,6,3,1,7,2,4,8]=>[8,4,2,7,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,7,1,4,8,2]=>[2,8,4,1,7,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,5,1,8,3,7,4,6]=>[6,4,7,3,8,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,3,8,6,5,7,1,4]=>[4,1,7,5,6,8,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,3,8,4,1,5,7,2]=>[2,7,5,1,4,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,3,4,1,7,5,8,2]=>[2,8,5,7,1,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,7,2,5,8,3,1,4]=>[4,1,3,8,5,2,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,7,5,4,1,6,8,2]=>[2,8,6,1,4,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,8,5,4,1,6,7,2]=>[2,7,6,1,4,5,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [7,1,5,4,2,6,3,8]=>[8,3,6,2,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,8,3,2,4,7]=>[7,4,2,3,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,3,6,7,1,8,4]=>[4,8,1,7,6,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [9,8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8,9]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1,1]=>1 [9,8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8,9]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1]=>1 [10,9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9,10]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1,1]=>1 [7,3,4,6,2,8,1,5]=>[5,1,8,2,6,4,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,7,6,5,2,8,3,1]=>[1,3,8,2,5,6,7,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [2,5,4,8,6,7,3,1]=>[1,3,7,6,8,4,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [6,5,4,8,2,1,3,7]=>[7,3,1,2,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,3,6,2,1,5,8,7]=>[7,8,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,7,3,2,1,8,6]=>[6,8,1,2,3,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,3,6,4,1,8,5]=>[5,8,1,4,6,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,7,5,3,1,8,4]=>[4,8,1,3,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,4,1,7,3,6,2]=>[2,6,3,7,1,4,8,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [3,6,5,1,4,8,2,7]=>[7,2,8,4,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,2,1,5,4,8,3,7]=>[7,3,8,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,5,4,8,1,2,7]=>[7,2,1,8,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5,8]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,2,2,1,1]=>1 [2,5,1,4,6,3,8,7]=>[7,8,3,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,5,6,4,2,8,7]=>[7,8,2,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,7,6,4,2,8,1,5]=>[5,1,8,2,4,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,1,4,7,6,8,2,3]=>[3,2,8,6,7,4,1,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,7,6,8,1,4,5,2]=>[2,5,4,1,8,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [1,6,5,3,8,7,2,4]=>[4,2,7,8,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,6,5,4,8,7,1,2]=>[2,1,7,8,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,6,5,4,1,7,8,2]=>[2,8,7,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,7,5,1,3,6,2,8]=>[8,2,6,3,1,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,1,4,3,2,6,7]=>[7,6,2,3,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,6,5,3,8,1,2,7]=>[7,2,1,8,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,4,3,8,2,7,5]=>[5,7,2,8,3,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,8,1,6,7,3,2,4]=>[4,2,3,7,6,1,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,1,8,4,5,3,6,2]=>[2,6,3,5,4,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [4,3,1,8,6,5,7,2]=>[2,7,5,6,8,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,3,2,7,5,1,8,6]=>[6,8,1,5,7,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,2,3,7,4,1,8,6]=>[6,8,1,4,7,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,2,4,5,6,8,3]=>[3,8,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,8,3,1,4,6,7,2]=>[2,7,6,4,1,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,7,2,5,4,6,8,3]=>[3,8,6,4,5,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,5,3,8,1,6,7,4]=>[4,7,6,1,8,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,6,3,4,1,7,8,2]=>[2,8,7,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,1,5,2,7,8,6]=>[6,8,7,2,5,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,3,6,4,5,8,1,2]=>[2,1,8,5,4,6,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [6,4,3,7,5,8,2,1]=>[1,2,8,5,7,3,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,2,4,7,8,6,3,1]=>[1,3,6,8,7,4,2,5]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [5,4,8,7,2,3,1,6]=>[6,1,3,2,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [8,3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,5,4,7,3,8,6,2]=>[2,6,8,3,7,4,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,4,1,3,8,5,6,2]=>[2,6,5,8,3,1,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [2,1,8,4,7,6,3,5]=>[5,3,6,7,4,8,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [2,7,5,6,8,4,3,1]=>[1,3,4,8,6,5,7,2]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [3,5,2,4,7,8,6,1]=>[1,6,8,7,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [7,5,6,3,8,2,1,4]=>[4,1,2,8,3,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,3,1,7,5,8,4,2]=>[2,4,8,5,7,1,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [8,4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4,8]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>3 [8,4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>3 [5,7,2,8,1,6,4,3]=>[3,4,6,1,8,2,7,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [8,7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7,8]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>4 [6,8,4,7,5,2,1,3]=>[3,1,2,5,7,4,8,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [6,8,7,4,2,5,1,3]=>[3,1,5,2,4,7,8,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>3 [8,10,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,10,8]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,2,2,2,1]=>1 [6,8,4,5,2,1,3,7]=>[7,3,1,2,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,4,5,7,2,1,3]=>[3,1,2,7,5,4,8,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [6,8,4,2,5,7,1,3]=>[3,1,7,5,2,4,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [6,8,4,2,5,1,3,7]=>[7,3,1,5,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,8,6,2,3,7,1,5]=>[5,1,7,3,2,6,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,5,4,3,2,7,1,8,9]=>[9,8,1,7,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,5,3,7,6,4,8,1]=>[1,8,4,6,7,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,1,6,5,4,7,2,8]=>[8,2,7,4,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,4,5,7,1,8]=>[8,1,7,5,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,5,4,7,1,8]=>[8,1,7,4,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,7,6,4,2,8]=>[8,2,4,6,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,4,5,7,2,8]=>[8,2,7,5,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,6,5,2,7,8]=>[8,7,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,6,5,3,7,8]=>[8,7,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,3,5,2,7,8]=>[8,7,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,4,2,5,7,1,8]=>[8,1,7,5,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,6,3,5,1,7,8]=>[8,7,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,7,6,5,1,2,8]=>[8,2,1,5,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,2,5,3,7,8]=>[8,7,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,7,3,6,8,1]=>[1,8,6,3,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,5,4,8,6,1,7,3]=>[3,7,1,6,8,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,4,3,7,5,8,6,1]=>[1,6,8,5,7,3,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,6,5,1,4,8,7,3]=>[3,7,8,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,8,4,7,1,3,6,2]=>[2,6,3,1,7,4,8,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [6,4,7,1,3,5,2,8]=>[8,2,5,3,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,3,2,7,4,6,1]=>[1,6,4,7,2,3,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [6,8,3,1,5,4,7,2]=>[2,7,4,5,1,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,2,8,3,4,6,7,1]=>[1,7,6,4,3,8,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,2,7,1,6,4,8,3]=>[3,8,4,6,1,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,2,6,1,3,7,8]=>[8,7,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,6,7,4,2,8]=>[8,2,4,7,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,8,3,6,7,5,1]=>[1,5,7,6,3,8,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [3,1,7,8,5,6,2,4]=>[4,2,6,5,8,7,1,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,7,1,8,5,2,4,6]=>[6,4,2,5,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,2,8,6,7,1,3,5]=>[5,3,1,7,6,8,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [5,3,1,6,4,7,2,8]=>[8,2,7,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,4,5,8,7,3,6]=>[6,3,7,8,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,3,4,7,5,8,6,2]=>[2,6,8,5,7,4,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,3,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [1,3,5,2,7,4,9,6,10,8]=>[8,10,6,9,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [1,3,5,7,9,2,4,6,8]=>[8,6,4,2,9,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [5,6,1,4,8,3,2,7]=>[7,2,3,8,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,6,3,7,8,4,1]=>[1,4,8,7,3,6,2,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,4,1,3,7,8,6,5]=>[5,6,8,7,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,6,1,5,7,8,4,3]=>[3,4,8,7,5,1,6,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [4,7,6,8,2,3,5,1]=>[1,5,3,2,8,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [5,7,4,8,1,2,6,3]=>[3,6,2,1,8,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,6,7,5,8,1,4,2]=>[2,4,1,8,5,7,6,3]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [3,7,5,6,8,2,4,1]=>[1,4,2,8,6,5,7,3]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [2,7,1,6,8,4,5,3]=>[3,5,4,8,6,1,7,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [1,5,4,7,2,6,3,8]=>[8,3,6,2,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,8,3,1,7,6]=>[6,7,1,3,8,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,8,7,3,5,6,2,1]=>[1,2,6,5,3,7,8,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,4,1,1]=>1 [5,8,7,1,4,6,3,2]=>[2,3,6,4,1,7,8,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>2 [6,2,5,1,3,4,8,7]=>[7,8,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,1,2,7,3,8]=>[8,3,7,2,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,1,2,7,3,8]=>[8,3,7,2,1,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,4,5,1,2,7,3,8]=>[8,3,7,2,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,1,3,2,7,8]=>[8,7,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,4,3,2,6,8]=>[8,6,2,3,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,3,8,6,1,2]=>[2,1,6,8,3,4,5,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,8,2,3,7,1,4,6]=>[6,4,1,7,3,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [7,8,5,3,2,1,6,4]=>[4,6,1,2,3,5,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [6,1,4,8,2,7,5,3]=>[3,5,7,2,8,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [7,4,8,1,2,5,3,6]=>[6,3,5,2,1,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,2,3,7,1,8,4,6]=>[6,4,8,1,7,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,2,3,1,8,4,6,5]=>[5,6,4,8,1,3,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,5,3,1,4,8,7,6]=>[6,7,8,4,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [5,4,1,7,3,2,8,6]=>[6,8,2,3,7,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,3,4,5,1,8,6,2]=>[2,6,8,1,5,4,3,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,8,1,5,4,3,2,6]=>[6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [6,3,2,5,7,4,8,1]=>[1,8,4,7,5,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,7,5,1,3,6,4,8]=>[8,4,6,3,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,6,1,4,3,8]=>[8,3,4,1,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,5,1,7,8,4]=>[4,8,7,1,5,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,7,3,4,8,2,5,1]=>[1,5,2,8,4,3,7,6]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [6,7,3,4,8,2,1,5]=>[5,1,2,8,4,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,7,3,2,8,6,5,4]=>[4,5,6,8,2,3,7,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [3,7,1,2,8,6,5,4]=>[4,5,6,8,2,1,7,3]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [2,7,3,1,8,6,5,4]=>[4,5,6,8,1,3,7,2]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [2,7,8,1,6,5,3,4]=>[4,3,5,6,1,8,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [6,2,8,7,1,5,3,4]=>[4,3,5,1,7,8,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [2,5,8,1,7,6,3,4]=>[4,3,6,7,1,8,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>4 [5,8,2,7,6,3,1,4]=>[4,1,3,6,7,2,8,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [1,8,2,4,7,6,3,5]=>[5,3,6,7,4,2,8,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [1,4,8,7,6,3,2,5]=>[5,2,3,6,7,8,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [1,8,4,7,6,3,2,5]=>[5,2,3,6,7,4,8,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,5,1,6,8,7,4,3]=>[3,4,7,8,6,1,5,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [4,5,8,7,1,6,2,3]=>[3,2,6,1,7,8,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [3,1,4,8,7,5,6,2]=>[2,6,5,7,8,4,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [1,8,2,4,6,7,5,3]=>[3,5,7,6,4,2,8,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [2,5,1,8,4,7,6,3]=>[3,6,7,4,8,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [2,1,7,4,8,6,5,3]=>[3,5,6,8,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [1,7,3,8,4,2,6,5]=>[5,6,2,4,8,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,4,5,8,1,7,6,3]=>[3,6,7,1,8,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [2,3,8,5,1,7,6,4]=>[4,6,7,1,5,8,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [1,8,3,5,2,7,6,4]=>[4,6,7,2,5,3,8,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [3,1,8,2,6,7,5,4]=>[4,5,7,6,2,8,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [2,6,8,1,4,3,7,5]=>[5,7,3,4,1,8,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,6,1,5,8,7,3,4]=>[4,3,7,8,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1,8]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [7,3,4,8,6,2,5,1]=>[1,5,2,6,8,4,3,7]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [7,4,6,8,1,2,5,3]=>[3,5,2,1,8,6,4,7]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [7,5,8,1,6,2,3,4]=>[4,3,2,6,1,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,7,1,4,3,2,8,6]=>[6,8,2,3,4,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,7,5,3,2,8,1,4]=>[4,1,8,2,3,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,8,4,5,3,1,7,2]=>[2,7,1,3,5,4,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,7,4,5,3,1,8,2]=>[2,8,1,3,5,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,6,1,8,2,3,4]=>[4,3,2,8,1,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,4,6,5,1,2,8,3]=>[3,8,2,1,5,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,4,8,3,1,7,2]=>[2,7,1,3,8,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [6,7,5,3,2,8,4,1]=>[1,4,8,2,3,5,7,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [6,2,5,3,8,1,4,7]=>[7,4,1,8,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,5,3,7,1,4,8]=>[8,4,1,7,3,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,3,5,2,4,8]=>[8,4,2,5,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,4,5,2,3,8]=>[8,3,2,5,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,8,1,4,2,5,3]=>[3,5,2,4,1,8,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [6,3,5,1,8,7,4,2]=>[2,4,7,8,1,5,3,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [6,8,5,3,2,7,4,1]=>[1,4,7,2,3,5,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [6,3,4,7,2,8,1,5]=>[5,1,8,2,7,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,3,4,8,2,7,1,5]=>[5,1,7,2,8,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,1,5,4,8,2,3,7]=>[7,3,2,8,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,4,5,3,8,1,7]=>[7,1,8,3,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,7,4,3,1,8,6]=>[6,8,1,3,4,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,8,6,4,3,2,7,1]=>[1,7,2,3,4,6,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,1,5,4,7,2,3,8]=>[8,3,2,7,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,5,4,7,1,3,2]=>[2,3,1,7,4,5,8,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,1]=>2 [5,8,7,4,3,2,6,1]=>[1,6,2,3,4,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [8,1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,6,8,4,7,5,2,1]=>[1,2,5,7,4,8,6,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,3,2,1]=>1 [5,6,1,4,8,7,2,3]=>[3,2,7,8,4,1,6,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,6,5,3,1,4,8,2]=>[2,8,4,1,3,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,8,4,2,5,7,3]=>[3,7,5,2,4,8,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,4,2,8,3,5,7,6]=>[6,7,5,3,8,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,6,1,4,8,3,7,2]=>[2,7,3,8,4,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,3,5,4,8,7,2,6]=>[6,2,7,8,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,6,3,4,8,5,7,2]=>[2,7,5,8,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,6,2,4,8,3,7,5]=>[5,7,3,8,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,1,3,2,6,5,4,8]=>[8,4,5,6,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,2,7,5,8,4]=>[4,8,5,7,2,6,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,4,2,7,6,3,8]=>[8,3,6,7,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,2,7,5,4,8,3]=>[3,8,4,5,7,2,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,7,8,5,4,2,6,3]=>[3,6,2,4,5,8,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [1,5,2,8,6,4,7,3]=>[3,7,4,6,8,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,6,5,2,7,4,8,3]=>[3,8,4,7,2,5,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,7,1,8,4,2,5,3]=>[3,5,2,4,8,1,7,6]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [4,1,7,8,5,2,6,3]=>[3,6,2,5,8,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [7,1,8,6,4,2,5,3]=>[3,5,2,4,6,8,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [6,8,1,5,2,3,7,4]=>[4,7,3,2,5,1,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,3,5,2,8,6,7,4]=>[4,7,6,8,2,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,3,8,5,6,2,7,4]=>[4,7,2,6,5,8,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,4,5,1,7,2,8,3]=>[3,8,2,7,1,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,2,3,1,8,7,5]=>[5,7,8,1,3,2,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,6,1,8,2,5,3,4]=>[4,3,5,2,8,1,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [8,4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [5,7,8,1,2,4,3,6]=>[6,3,4,2,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [1,7,6,8,3,5,4,2]=>[2,4,5,3,8,6,7,1]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [5,7,6,4,2,1,3,8]=>[8,3,1,2,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,3,6,1,5,2,7]=>[7,2,5,1,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,2,8,6,4,5,1,7]=>[7,1,5,4,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,1,2,6,8,7,5,4]=>[4,5,7,8,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>4 [5,7,4,2,1,8,6,3]=>[3,6,8,1,2,4,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,4,6,1,8,5,3,2]=>[2,3,5,8,1,6,4,7]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [7,4,6,3,8,1,5,2]=>[2,5,1,8,3,6,4,7]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,4,8,1,6,3,2,5]=>[5,2,3,6,1,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,4,8,3,6,2,1,5]=>[5,1,2,6,3,8,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [6,4,8,2,3,5,7,1]=>[1,7,5,3,2,8,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,2,4,1,5,8,3,7]=>[7,3,8,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,8,2,4,1,5,3,7]=>[7,3,5,1,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,4,8,2,5,7,1,3]=>[3,1,7,5,2,8,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,2,4,5,8,3,7,1]=>[1,7,3,8,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,8,2,4,7,3,5,1]=>[1,5,3,7,4,2,8,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [6,8,4,2,3,5,1,7]=>[7,1,5,3,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,4,2,3,5,7,1]=>[1,7,5,3,2,4,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,6,8,2,3,1,5,7]=>[7,5,1,3,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,6,8,2,5,1,7,3]=>[3,7,1,5,2,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,6,8,2,5,7,3,1]=>[1,3,7,5,2,8,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [6,4,8,2,3,7,1,5]=>[5,1,7,3,2,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,8,2,6,7,5,1,3]=>[3,1,5,7,6,2,8,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [8,2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2,8]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>3 [8,2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [6,8,2,4,1,7,3,5]=>[5,3,7,1,4,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,5,1,6,2,4,8,3]=>[3,8,4,2,6,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,5,7,1,6,8,3]=>[3,8,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,6,5,7,2,8,1,4]=>[4,1,8,2,7,5,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,1,5,6,4,8,2,7]=>[7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,4,8,6,5,3,7,1]=>[1,7,3,5,6,8,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,7,4,8,6,3,5,1]=>[1,5,3,6,8,4,7,2]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [3,1,5,4,6,7,2,8]=>[8,2,7,6,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,7,3,5,1,6,8]=>[8,6,1,5,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,3,8,4,7,1]=>[1,7,4,8,3,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,6,2,3,1,7,8,4]=>[4,8,7,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,7,2,3,4,1,6,8]=>[8,6,1,4,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,3,5,1,4,8]=>[8,4,1,5,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,3,8,4,7,1]=>[1,7,4,8,3,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [8,5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,6,3,4,2,7,5,8]=>[8,5,7,2,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [2,7,8,1,5,6,3,4]=>[4,3,6,5,1,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,8,2,3,1,6,4,7]=>[7,4,6,1,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,2,7,1,5,6,8,3]=>[3,8,6,5,1,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,1,5,3,7,6,8]=>[8,6,7,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,8,4,6,7,2]=>[2,7,6,4,8,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,1,3,2,6,7,8,4]=>[4,8,7,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,2,1,3,5,8,4,6]=>[6,4,8,5,3,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,8,7,2,3,4,5,1]=>[1,5,4,3,2,7,8,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,4,2,1]=>1 [3,7,2,8,1,4,5,6]=>[6,5,4,1,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,2,3,7,4,6,1,8]=>[8,1,6,4,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,3,4,5,1,8]=>[8,1,5,4,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,3,4,5,1,8]=>[8,1,5,4,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,4,5,2,1,6,7]=>[7,6,1,2,5,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,6,3,4,5,1,8]=>[8,1,5,4,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,7,5,1,3,4,6]=>[6,4,3,1,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,4,1,2,9,5,6,7,8]=>[8,7,6,5,9,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [4,5,1,2,3,9,6,7,8]=>[8,7,6,9,3,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [5,6,1,2,3,4,9,7,8]=>[8,7,9,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [6,7,1,2,3,4,5,9,8]=>[8,9,5,4,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [4,5,7,2,8,3,6,1]=>[1,6,3,8,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [9,5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5,9]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,4,1]=>4 [2,5,7,6,1,3,8,4]=>[4,8,3,1,6,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,2,6,1,8,3,4]=>[4,3,8,1,6,2,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,2,5,3,7,8,4,1]=>[1,4,8,7,3,5,2,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [7,5,3,4,2,1,8,6]=>[6,8,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,2,4,3,1,7,8,5]=>[5,8,7,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,2,1,3,6,7,8,4]=>[4,8,7,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,5,7,2,8,3,4]=>[4,3,8,2,7,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,2,5,3,7,8,1,4]=>[4,1,8,7,3,5,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,5,2,6,1,8,4,3]=>[3,4,8,1,6,2,5,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [6,1,5,2,7,8,4,3]=>[3,4,8,7,2,5,1,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,6,5,7,2,8,4,3]=>[3,4,8,2,7,5,6,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [7,5,6,8,1,2,4,3]=>[3,4,2,1,8,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>3 [7,5,6,2,8,1,4,3]=>[3,4,1,8,2,6,5,7]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [5,2,1,4,8,7,6,3]=>[3,6,7,8,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [6,2,3,5,8,7,1,4]=>[4,1,7,8,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,5,4,6,2,8,7,3]=>[3,7,8,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [7,5,1,3,6,8,4,2]=>[2,4,8,6,3,1,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [1,5,4,6,2,8,3,7]=>[7,3,8,2,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,5,6,4,8,2,3,7]=>[7,3,2,8,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,5,6,8,2,4,3,1]=>[1,3,4,2,8,6,5,7]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>1 [7,5,6,2,8,4,1,3]=>[3,1,4,8,2,6,5,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [6,2,1,5,8,4,7,3]=>[3,7,4,8,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,5,6,8,4,1,3,2]=>[2,3,1,4,8,6,5,7]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>2 [5,4,1,8,6,2,3,7]=>[7,3,2,6,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,1,7,6,2,3,8]=>[8,3,2,6,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,6,2,3,5,8,1,4]=>[4,1,8,5,3,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,3,7,5,1,6,2,8]=>[8,2,6,1,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,7,4,6,8,2]=>[2,8,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,6,1,5,7,8,2]=>[2,8,7,5,1,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,1,4,6,7,8,2]=>[2,8,7,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,7,1,3,5,8,2]=>[2,8,5,3,1,7,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,5,3,7,8,4,6,1]=>[1,6,4,8,7,3,5,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,6,2,4,1,7,5,8]=>[8,5,7,1,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,7,4,8,5,1]=>[1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,1,8,3,4,6,2,5]=>[5,2,6,4,3,8,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [6,3,2,7,5,8,4,1]=>[1,4,8,5,7,2,3,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [4,2,6,1,5,7,3,8]=>[8,3,7,5,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,2,6,7,3,8]=>[8,3,7,6,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,7,4,1,3,8]=>[8,3,1,4,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,3,1,4,2,8]=>[8,2,4,1,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,7,8,4,5,2]=>[2,5,4,8,7,6,1,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [8,2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [3,7,5,6,2,1,8,4]=>[4,8,1,2,6,5,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,7,6,3,8,4,5,2]=>[2,5,4,8,3,6,7,1]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [5,7,8,4,2,3,1,6]=>[6,1,3,2,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [6,3,1,4,5,2,7,8]=>[8,7,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,2,7,8,3,5]=>[5,3,8,7,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,4,1,3,5,2,7,8]=>[8,7,2,5,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,1,7,8,2,5]=>[5,2,8,7,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,3,4,2,6,8,1,7]=>[7,1,8,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,8,1,5,3,4,2,7]=>[7,2,4,3,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,3,5,6,1,8,2,7]=>[7,2,8,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,8,3,4,6,2,7]=>[7,2,6,4,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,8,3,4,7,1,5]=>[5,1,7,4,3,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,7,3,6,1,4,2,8]=>[8,2,4,1,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,8,2,3,7,1,6]=>[6,1,7,3,2,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [7,3,4,8,2,5,1,6]=>[6,1,5,2,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,2,3,5,1,8,4,7]=>[7,4,8,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,8,1,5,4,2,3,7]=>[7,3,2,4,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,2,4,7,3,1,5,8]=>[8,5,1,3,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,2,5,1,6,8,3]=>[3,8,6,1,5,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,4,5,8,2,7,6]=>[6,7,2,8,5,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,7,3,1,8,2,6,5]=>[5,6,2,8,1,3,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [6,2,3,8,5,1,4,7]=>[7,4,1,5,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,2,3,8,4,7,1,5]=>[5,1,7,4,8,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [6,2,5,1,3,8,4,7]=>[7,4,8,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,2,8,4,6,3,7]=>[7,3,6,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,1,3,7,4,6,2,8]=>[8,2,6,4,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,4,6,2,8,3,7]=>[7,3,8,2,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,4,6,5,8,1,7]=>[7,1,8,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,1,7,4,2,5,8]=>[8,5,2,4,7,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [6,8,5,3,7,4,2,1]=>[1,2,4,7,3,5,8,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,2,3,1]=>1 [7,2,8,1,5,6,4,3]=>[3,4,6,5,1,8,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [8,3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,5,6,1,4,8,2,3]=>[3,2,8,4,1,6,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,7,2,6,3,8,4,1]=>[1,4,8,3,6,2,7,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,6,4,2,1,8,3,7]=>[7,3,8,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,8,1,3,2,7,5,4]=>[4,5,7,2,3,1,8,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [5,7,3,6,4,1,2,8]=>[8,2,1,4,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,6,1,3,8,7]=>[7,8,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,8,2,6,7,4,3,1]=>[1,3,4,7,6,2,8,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,1,3,1]=>1 [8,2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [2,6,5,3,8,1,4,7]=>[7,4,1,8,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,5,8,1,7,3,4]=>[4,3,7,1,8,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,1,2,4,3,5,7,8]=>[8,7,5,3,4,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [1,7,6,8,4,3,2,5]=>[5,2,3,4,8,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [7,4,5,8,2,3,6,1]=>[1,6,3,2,8,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,1,2,4,3,5,8,6]=>[6,8,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,6,3,8,7,2,4]=>[4,2,7,8,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,6,8,4,7,1,3,2]=>[2,3,1,7,4,8,6,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>2 [5,3,2,6,8,7,1,4]=>[4,1,7,8,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,8,7,2,4,1,5,3]=>[3,5,1,4,2,7,8,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>3 [6,4,5,3,1,8,7,2]=>[2,7,8,1,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [2,8,6,1,5,4,7,3]=>[3,7,4,5,1,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,8,7,5,4,3,2,6]=>[6,2,3,4,5,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,3,4,1,6,2,7,8]=>[8,7,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,4,5,2,7,3,8]=>[8,3,7,2,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,3,6,4,5,8]=>[8,5,4,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,1,8,5,4,7,2]=>[2,7,4,5,8,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,1,8,7,5,4,6,2]=>[2,6,4,5,7,8,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [1,8,3,7,5,4,6,2]=>[2,6,4,5,7,3,8,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [6,1,3,8,7,4,5,2]=>[2,5,4,7,8,3,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [1,6,3,8,5,4,7,2]=>[2,7,4,5,8,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,8,1,6,4,3,2,5]=>[5,2,3,4,6,1,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [5,7,2,8,1,3,6,4]=>[4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,1,4,8,2,7,6,5]=>[5,6,7,2,8,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [5,4,1,2,6,3,8,7]=>[7,8,3,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,1,4,8,7,2,5]=>[5,2,7,8,4,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,4,7,5,1,8,2,6]=>[6,2,8,1,5,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [2,4,6,5,7,8,1,3]=>[3,1,8,7,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,4,6,7,5,8,1,3]=>[3,1,8,5,7,6,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,4,6,3,7,8,1,5]=>[5,1,8,7,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,5,6,3,8,1,7]=>[7,1,8,3,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,3,4,6,8,5,1,7]=>[7,1,5,8,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,3,5,8,4,7,2]=>[2,7,4,8,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,2,8,3,4,1,6,7]=>[7,6,1,4,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,6,4,1,2,7,8,5]=>[5,8,7,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,7,3,8,6,2,5]=>[5,2,6,8,3,7,1,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [6,1,8,5,4,3,2,7]=>[7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,3,6,4,1,8,2,7]=>[7,2,8,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [6,5,2,8,1,3,7,4]=>[4,7,3,1,8,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,5,2,1,6,3,7,8]=>[8,7,3,6,1,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,7,6,4,3,1,2,8]=>[8,2,1,3,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,2,7,6,5,1,3]=>[3,1,5,6,7,2,8,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [7,4,2,8,6,5,1,3]=>[3,1,5,6,8,2,4,7]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [3,2,1,6,5,8,4,7]=>[7,4,8,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,4,8,5,7,3,1]=>[1,3,7,5,8,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [6,3,1,4,5,8,2,7]=>[7,2,8,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,8,7,1,3,2,6,5]=>[5,6,2,3,1,7,8,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [3,4,1,8,7,6,2,5]=>[5,2,6,7,8,1,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,8,7,5,4,1,6,3]=>[3,6,1,4,5,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [8,1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1,8]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [5,8,7,3,4,1,6,2]=>[2,6,1,4,3,7,8,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [2,6,5,8,3,1,4,7]=>[7,4,1,3,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,8,4,5,7,1,6]=>[6,1,7,5,4,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,3,8,4,7,6,2,5]=>[5,2,6,7,4,8,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [3,1,2,8,7,6,4,5]=>[5,4,6,7,8,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [8,5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [3,4,6,7,1,5,8,2]=>[2,8,5,1,7,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,6,7,5,1,4,3,8]=>[8,3,4,1,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,5,8,1,3,7,6]=>[6,7,3,1,8,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [6,2,3,1,7,4,5,8]=>[8,5,4,7,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,8,4,3,7,6,2]=>[2,6,7,3,4,8,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,7,8,2,6,3,4,5]=>[5,4,3,6,2,8,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,8,6,5,3,1,4]=>[4,1,3,5,6,8,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [5,2,4,6,7,8,1,3]=>[3,1,8,7,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>2 [2,8,3,5,6,1,4,7]=>[7,4,1,6,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,3,6,4,2,7,5,8]=>[8,5,7,2,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,5,8,1,4,6]=>[6,4,1,8,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,2,8,5,6,1,4,7]=>[7,4,1,6,5,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,7,5,8,1,2,3,6]=>[6,3,2,1,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,3,2,5,7,8,1,6]=>[6,1,8,7,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,6,5,8,1,2,3,7]=>[7,3,2,1,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,3,5,8,7,4,2,1]=>[1,2,4,7,8,5,3,6]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,2,3,1]=>1 [4,1,3,5,6,8,2,7]=>[7,2,8,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,1,3,4,8,7,5,2]=>[2,5,7,8,4,3,1,6]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>2 [1,4,8,2,7,5,6,3]=>[3,6,5,7,2,8,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [6,3,4,8,7,5,2,1]=>[1,2,5,7,8,4,3,6]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,3,2,1]=>1 [1,5,4,8,7,6,2,3]=>[3,2,6,7,8,4,5,1]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [3,2,4,5,8,1,6,7]=>[7,6,1,8,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,8,5,1,6,2,7]=>[7,2,6,1,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,4,7,8,2,5,3,6]=>[6,3,5,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,5,1,6,2,8,4]=>[4,8,2,6,1,5,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,8,3,7,6,2,1,5]=>[5,1,2,6,7,3,8,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [4,6,8,3,7,2,1,5]=>[5,1,2,7,3,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [3,6,5,1,7,2,8,4]=>[4,8,2,7,1,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,4,1,6,2,8,5,3]=>[3,5,8,2,6,1,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,4,2,8,5,1,6,3]=>[3,6,1,5,8,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [1,6,7,4,3,8,2,5]=>[5,2,8,3,4,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,3,1,6,5,2,8,4]=>[4,8,2,5,6,1,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,1,8,5,4,2,7,3]=>[3,7,2,4,5,8,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [8,5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,6,3,1,7,2,8,4]=>[4,8,2,7,1,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,6,1,7,2,8,5,3]=>[3,5,8,2,7,1,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,4,3,8,7,5,1,6]=>[6,1,5,7,8,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [6,5,7,3,1,4,8,2]=>[2,8,4,1,3,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,8,1,3,4,7,6,5]=>[5,6,7,4,3,1,8,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,3,5,8,6,2,1,7]=>[7,1,2,6,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,8,6,2,1,5,4,3]=>[3,4,5,1,2,6,8,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>3 [2,8,6,1,3,7,5,4]=>[4,5,7,3,1,6,8,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [7,6,8,4,2,5,1,3]=>[3,1,5,2,4,8,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [8,6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6,8]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [1,6,4,7,3,8,5,2]=>[2,5,8,3,7,4,6,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,2,3,5,7,9,4,6,8]=>[8,6,4,9,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [1,2,4,6,8,3,5,7,9]=>[9,7,5,3,8,6,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,4,5,6,8,10,7,9]=>[9,7,10,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [1,2,3,4,6,8,10,5,7,9]=>[9,7,5,10,8,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [1,2,3,5,7,9,4,6,8,10]=>[10,8,6,4,9,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,2,4,6,8,10,3,5,7,9]=>[9,7,5,3,10,8,6,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [1,3,5,7,9,2,4,6,8,10]=>[10,8,6,4,2,9,7,5,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,6,5,7,1,2,4,8]=>[8,4,2,1,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,8,6,4,5,2,3]=>[3,2,5,4,6,8,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [6,7,2,1,4,8,5,3]=>[3,5,8,4,1,2,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [6,4,2,5,8,7,1,3]=>[3,1,7,8,5,2,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [8,5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [1,8,6,3,4,5,7,2]=>[2,7,5,4,3,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,7,8,6,4,5,1,2]=>[2,1,5,4,6,8,7,3]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [5,2,7,3,4,8,6,1]=>[1,6,8,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,7,3,2,4,8,6,1]=>[1,6,8,4,2,3,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,8,4,6,3,5,1,7]=>[7,1,5,3,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,6,1,8,5,3,2,7]=>[7,2,3,5,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,1,4,8,2,6,3,7]=>[7,3,6,2,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,8,1,3,7,6,2]=>[2,6,7,3,1,8,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,4,7,8,6,3,5,2]=>[2,5,3,6,8,7,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [8,5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [3,7,6,2,1,8,5,4]=>[4,5,8,1,2,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [4,3,7,6,1,8,5,2]=>[2,5,8,1,6,7,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [8,6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [6,7,2,5,4,8,1,3]=>[3,1,8,4,5,2,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,6,2,4,8,5,1,3]=>[3,1,5,8,4,2,6,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,3,6,8,7,4,1,2]=>[2,1,4,7,8,6,3,5]=>[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>2 [2,7,4,6,1,3,5,8]=>[8,5,3,1,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7,8]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>3 [6,1,8,2,4,3,5,7]=>[7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,6,1,3,5,4,2,8]=>[8,2,4,5,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,1,3,6,5,8]=>[8,5,6,3,1,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,3,1,5,4,8]=>[8,4,5,1,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5,8]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>1 [3,6,4,1,8,2,5,7]=>[7,5,2,8,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7,8]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [8,7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7,8]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [8,7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7,8]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>4 [4,1,8,5,2,7,3,6]=>[6,3,7,2,5,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [8,7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7,8]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [2,6,3,4,8,1,7,5]=>[5,7,1,8,4,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,5,3,4,2,8,6,1]=>[1,6,8,2,4,3,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [1,8,7,6,2,3,5,4]=>[4,5,3,2,6,7,8,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [6,8,3,4,2,1,5,7]=>[7,5,1,2,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,2,8,1,5,7,4,6]=>[6,4,7,5,1,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,4,6,7,2,1,5,8]=>[8,5,1,2,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,5,7,3,4,8]=>[8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,1,4,3,8,5]=>[5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,6,2,1,8,3,4]=>[4,3,8,1,2,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,2,5,1,6,3,8,4]=>[4,8,3,6,1,5,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,8,5,4,2,7,1]=>[1,7,2,4,5,8,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,4,6,1,3,5,2,8]=>[8,2,5,3,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,8,7,4,6,2]=>[2,6,4,7,8,3,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [5,1,3,8,7,4,6,2]=>[2,6,4,7,8,3,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [2,5,3,8,7,4,1,6]=>[6,1,4,7,8,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [6,8,3,5,1,2,7,4]=>[4,7,2,1,5,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,8,2,7,4,6,3,1]=>[1,3,6,4,7,2,8,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>1 [4,5,2,8,3,7,1,6]=>[6,1,7,3,8,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7,8]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>2 [4,5,8,3,1,2,7,6]=>[6,7,2,1,3,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,6,8,3,2,1,7,5]=>[5,7,1,2,3,8,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,6,8,3,5,1,2,7]=>[7,2,1,5,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,6,7,3,5,2,1,8]=>[8,1,2,5,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,6,1,7,3,8]=>[8,3,7,1,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,3,4,8,7,6]=>[6,7,8,4,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [1,4,6,3,7,5,2,8]=>[8,2,5,7,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,3,8,5,2,4]=>[4,2,5,8,3,6,7,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [2,7,3,1,4,5,6,8]=>[8,6,5,4,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,7,4,2,5,6,3]=>[3,6,5,2,4,7,8,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [6,4,1,3,7,5,8,2]=>[2,8,5,7,3,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,3,8,7,4,5,6,2]=>[2,6,5,4,7,8,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [7,3,1,8,4,5,6,2]=>[2,6,5,4,8,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [6,2,4,3,7,5,8,1]=>[1,8,5,7,3,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,4,3,7,5,1,8]=>[8,1,5,7,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,2,1,5,7,6,4]=>[4,6,7,5,1,2,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [3,8,2,1,7,4,6,5]=>[5,6,4,7,1,2,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [7,5,2,8,3,1,6,4]=>[4,6,1,3,8,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [4,6,7,3,2,5,1,8]=>[8,1,5,2,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,4,7,3,5,6,2]=>[2,6,5,3,7,4,8,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [5,4,2,7,3,8,6,1]=>[1,6,8,3,7,2,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,6,3,7,8,1,2,5]=>[5,2,1,8,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,7,5,4,1,6,8,3]=>[3,8,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,8,5,4,7,1,2,3]=>[3,2,1,7,4,5,8,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [8,3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [6,2,5,4,1,7,8,3]=>[3,8,7,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,8,4,3,2,7,6]=>[6,7,2,3,4,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,1,5,6,3,8,7,2]=>[2,7,8,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,8,7,4,3,2,5,1]=>[1,5,2,3,4,7,8,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,4,2,1]=>1 [1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,8,5,1,3,7,6,4]=>[4,6,7,3,1,5,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [2,4,5,8,3,7,6,1]=>[1,6,7,3,8,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [8,3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [8,2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,4,5,1,3,8,7,2]=>[2,7,8,3,1,5,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,1,3,5,4,8,2,7]=>[7,2,8,4,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,8,7,2,5,6,4]=>[4,6,5,2,7,8,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [5,1,4,8,3,7,6,2]=>[2,6,7,3,8,4,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [4,8,3,2,7,6,5,1]=>[1,5,6,7,2,3,8,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,1,1,1]=>1 [1,8,7,3,4,6,5,2]=>[2,5,6,4,3,7,8,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [5,3,1,2,4,6,8,7]=>[7,8,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [5,1,3,2,8,4,6,7]=>[7,6,4,8,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,8,3,5,2,6,7]=>[7,6,2,5,3,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,8,3,4,7,5,2,6]=>[6,2,5,7,4,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [6,7,1,5,2,8,4,3]=>[3,4,8,2,5,1,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,5,3,7,6,4,8,2]=>[2,8,4,6,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,8,5,1,2,7,4,6]=>[6,4,7,2,1,5,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,7,1,6,5,8,3,4]=>[4,3,8,5,6,1,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,2,3,5,7,4,8,1]=>[1,8,4,7,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,7,5,3,8,2,1]=>[1,2,8,3,5,7,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,8,5,6,7,1,3,2]=>[2,3,1,7,6,5,8,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,1]=>2 [5,1,2,6,8,7,4,3]=>[3,4,7,8,6,2,1,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [1,3,4,6,8,2,7,5]=>[5,7,2,8,6,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,2,8,7,5,6,3,1]=>[1,3,6,5,7,8,2,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>1 [5,1,7,2,6,8,4,3]=>[3,4,8,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [8,1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1,8]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>2 [6,5,1,8,2,4,7,3]=>[3,7,4,2,8,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,3,7,1,2,8,5,6]=>[6,5,8,2,1,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,6,7,3,8,4,5,1]=>[1,5,4,8,3,7,6,2]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [2,7,6,4,3,8,5,1]=>[1,5,8,3,4,6,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,1,7,4,6,2,3,8]=>[8,3,2,6,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,6,2,7,5,4,1]=>[1,4,5,7,2,6,8,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,1,2,1]=>1 [3,1,7,6,5,2,4,8]=>[8,4,2,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,1,6,2,5,3,7]=>[7,3,5,2,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,8,2,7,5,1,3,4]=>[4,3,1,5,7,2,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [1,8,4,2,5,7,3,6]=>[6,3,7,5,2,4,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,3,1,2,4,6,7]=>[7,6,4,2,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,4,8,5,2,3,7,6]=>[6,7,3,2,5,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [7,2,5,8,1,4,3,6]=>[6,3,4,1,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,1,4,2,6,8,3,5]=>[5,3,8,6,2,4,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,5,8,6,2,3,4]=>[4,3,2,6,8,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>4 [1,5,8,7,2,4,3,6]=>[6,3,4,2,7,8,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,5,4,2,8,3,7,6]=>[6,7,3,8,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,7,4,2,8,1,3,5]=>[5,3,1,8,2,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,1,6,8,2,7,3,5]=>[5,3,7,2,8,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,7,5,6,2,8,3,1]=>[1,3,8,2,6,5,7,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [8,4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,3,2,1]=>1 [6,7,5,2,8,4,3,1]=>[1,3,4,8,2,5,7,6]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [6,8,4,3,2,7,5,1]=>[1,5,7,2,3,4,8,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [2,1,4,3,6,5,9,7,10,8]=>[8,10,7,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [2,1,4,3,7,5,8,6,10,9]=>[9,10,6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,3,7,5,9,6,10,8]=>[8,10,6,9,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [2,1,5,3,6,4,8,7,10,9]=>[9,10,7,8,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,5,3,6,4,9,7,10,8]=>[8,10,7,9,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [2,1,5,3,7,4,9,6,10,8]=>[8,10,6,9,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [2,1,7,3,8,4,9,5,10,6]=>[6,10,5,9,4,8,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,4]=>6 [3,1,4,2,6,5,9,7,10,8]=>[8,10,7,9,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [3,1,4,2,7,5,8,6,10,9]=>[9,10,6,8,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [4,1,6,2,8,3,9,5,10,7]=>[7,10,5,9,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[7,3]=>7 [5,1,7,2,8,3,9,4,10,6]=>[6,10,4,9,3,8,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,4]=>6 [2,9,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,9,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>3 [2,10,9,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,9,10,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>3 [6,5,1,4,7,8,2,3]=>[3,2,8,7,4,1,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,7,6,3,5,4,8,1]=>[1,8,4,5,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,8,1,5,7,6,2,4]=>[4,2,6,7,5,1,8,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [6,1,7,3,5,8,2,4]=>[4,2,8,5,3,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,5,4,1,8,3,6,2]=>[2,6,3,8,1,4,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,1,2,8,4,6,3,5]=>[5,3,6,4,8,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,3,7,6,4,8,2,5]=>[5,2,8,4,6,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,8,7,6,4,1,5,3]=>[3,5,1,4,6,7,8,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [5,4,2,8,7,6,3,1]=>[1,3,6,7,8,2,4,5]=>[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,1,1]=>1 [6,1,8,5,7,4,3,2]=>[2,3,4,7,5,8,1,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,1,3,1]=>2 [8,1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1,8]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,2,1,1,1]=>3 [8,5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5,8]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,2,3,1,1]=>1 [8,1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1,8]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [5,3,1,6,4,8,2,7]=>[7,2,8,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,6,7,1,4,8,3]=>[3,8,4,1,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,7,3,5,8,4,6,1]=>[1,6,4,8,5,3,7,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [4,7,5,3,2,8,1,6]=>[6,1,8,2,3,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,2,3,6,8,4,1,7]=>[7,1,4,8,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,7,6,4,8,2,5,1]=>[1,5,2,8,4,6,7,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,4,2,5,7,1,8,6]=>[6,8,1,7,5,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,3,6,8,2,4,7]=>[7,4,2,8,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,3,6,8,2,7,4]=>[4,7,2,8,6,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,7,6,1,5,4,8,3]=>[3,8,4,5,1,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,1,8,2,4,5,7]=>[7,5,4,2,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,2,3,6,8,1,7,5]=>[5,7,1,8,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,6,2,4,8,7,5,1]=>[1,5,7,8,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [4,3,2,7,5,8,6,1]=>[1,6,8,5,7,2,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,1,4,7,5,8,6,3]=>[3,6,8,5,7,4,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,2,6,4,8,3,5,1]=>[1,5,3,8,4,6,2,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [6,5,8,1,4,3,7,2]=>[2,7,3,4,1,8,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [8,1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [6,3,4,2,7,5,8,1]=>[1,8,5,7,2,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,7,5,8,3,4,1]=>[1,4,3,8,5,7,2,6]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [8,6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,8,6,4,7,1,2,3]=>[3,2,1,7,4,6,8,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>3 [7,2,4,3,8,6,1,5]=>[5,1,6,8,3,4,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,7,6,5,4,3,2,9,8]=>[8,9,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [6,8,4,3,5,1,7,2]=>[2,7,1,5,3,4,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,3,8,1,7,4,5,2]=>[2,5,4,7,1,8,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [7,6,1,4,5,2,8,3]=>[3,8,2,5,4,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,7,3,6,8,2,5]=>[5,2,8,6,3,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,7,1,4,6,8,2,5]=>[5,2,8,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,7,3,6,8,1,5]=>[5,1,8,6,3,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,6,1,5,2,8,3,4]=>[4,3,8,2,5,1,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,6,7,4,5,8,3]=>[3,8,5,4,7,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,8,6,5,7,2,1,4]=>[4,1,2,7,5,6,8,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,7,2,5,1,6,4]=>[4,6,1,5,2,7,8,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [2,7,1,4,6,8,3,5]=>[5,3,8,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,2,3,6,8,1,4,5]=>[5,4,1,8,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [5,7,1,4,2,8,3,6]=>[6,3,8,2,4,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,1,4,8,3,5,2,7]=>[7,2,5,3,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,3,8,6,1,5,4,7]=>[7,4,5,1,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,7,4,2,3,1,6]=>[6,1,3,2,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [7,3,2,1,6,8,4,5]=>[5,4,8,6,1,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,1,6,8,7,4,5]=>[5,4,7,8,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,4,8,2,1,7,3,5]=>[5,3,7,1,2,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,3,1,8,7,5,6,4]=>[4,6,5,7,8,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [6,1,4,3,2,8,7,5]=>[5,7,8,2,3,4,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,1,4,3,2,6,8,5]=>[5,8,6,2,3,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,8,3,7,1,2,5,4]=>[4,5,2,1,7,3,8,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [6,8,2,1,4,7,3,5]=>[5,3,7,4,1,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,7,3,5,1,8,6,4]=>[4,6,8,1,5,3,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,7,8,1,6,5,4,2]=>[2,4,5,6,1,8,7,3]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [5,7,2,4,1,8,3,6]=>[6,3,8,1,4,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,5,7,3,6,2,4,8]=>[8,4,2,6,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,5,1,3,8,2]=>[2,8,3,1,5,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,1,3,2,6,8,5,7]=>[7,5,8,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,1,2,4,8,3,7]=>[7,3,8,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,1,2,4,5,8,3,7]=>[7,3,8,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [3,1,5,7,4,2,8,6]=>[6,8,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,8,6,1,2,3,5,4]=>[4,5,3,2,1,6,8,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [2,6,3,8,4,1,7,5]=>[5,7,1,4,8,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,7,3,1,6,4,8,5]=>[5,8,4,6,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,8,5,1,3,2,7,6]=>[6,7,2,3,1,5,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,2,4,7,6,1,8,5]=>[5,8,1,6,7,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,1,6,7,3,4,5]=>[5,4,3,7,6,1,8,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [7,1,8,3,6,5,2,4]=>[4,2,5,6,3,8,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [3,6,7,4,1,2,5,8]=>[8,5,2,1,4,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,8,5,1,6,2]=>[2,6,1,5,8,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,4,3,6,2,8,7,5]=>[5,7,8,2,6,3,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,4,8,5,3,6,1,7]=>[7,1,6,3,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,5,4,8,7,1,3,6]=>[6,3,1,7,8,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,8,1,4,7,6,3,5]=>[5,3,6,7,4,1,8,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [4,6,8,5,2,1,3,7]=>[7,3,1,2,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,7,6,8,1,4,2]=>[2,4,1,8,6,7,3,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [5,3,6,7,2,1,4,8]=>[8,4,1,2,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,5,7,2,8,4,3]=>[3,4,8,2,7,5,1,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,4,7,5,8,2,3,6]=>[6,3,2,8,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,6,8,1,7,4,3,5]=>[5,3,4,7,1,8,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [1,6,8,4,7,3,2,5]=>[5,2,3,7,4,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [3,6,7,5,4,8,1,2]=>[2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,5,7,2,6,3,8,1]=>[1,8,3,6,2,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,5,4,2,8,1,3]=>[3,1,8,2,4,5,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,4,1,7,8,6,3,2]=>[2,3,6,8,7,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [7,1,5,6,8,3,2,4]=>[4,2,3,8,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,5,6,4,1,8,2,3]=>[3,2,8,1,4,6,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,3,6,8,5,7,4,1]=>[1,4,7,5,8,6,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [2,1,5,7,4,6,8,3]=>[3,8,6,4,7,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,4,6,8,2,1,3]=>[3,1,2,8,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [2,3,5,7,8,1,6,4]=>[4,6,1,8,7,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,5,7,4,2,3,6,8]=>[8,6,3,2,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,5,1,3,6,8]=>[8,6,3,1,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,5,3,6,8,1]=>[1,8,6,3,5,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,1,3,6,2,5,8]=>[8,5,2,6,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,4,7,3,6,8]=>[8,6,3,7,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [2,5,8,1,4,7,3,6]=>[6,3,7,4,1,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,7,1,2,5,8,3,6]=>[6,3,8,5,2,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,3,6,8,5,7,1,4]=>[4,1,7,5,8,6,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,3,5,7,8,4,1,6]=>[6,1,4,8,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,4,7,8,3,5,1,6]=>[6,1,5,3,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,3,6,2,5,8,4,7]=>[7,4,8,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,2,5,8,4,7,1]=>[1,7,4,8,5,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,5,8,3,6,4,7,1]=>[1,7,4,6,3,8,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,5,8,1,3,6,4,7]=>[7,4,6,3,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,3,6,8,2,4,7]=>[7,4,2,8,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,2,4,7,8,1,6]=>[6,1,8,7,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,8,1,2,6,3,7,5]=>[5,7,3,6,2,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,8,1,2,6,3,7,4]=>[4,7,3,6,2,1,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,1,2,6,5,7,8,3]=>[3,8,7,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,8,4,2,7,3,6,5]=>[5,6,3,7,2,4,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [1,7,5,2,3,8,6,4]=>[4,6,8,3,2,5,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [8,1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [8,4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,6,1,8,3,7,4,5]=>[5,4,7,3,8,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [2,5,1,7,6,8,3,4]=>[4,3,8,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,3,1,8,2,4,7,6]=>[6,7,4,2,8,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,1,5,4,6,7,8,2]=>[2,8,7,6,4,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,2,1,3,8,5,4,6]=>[6,4,5,8,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,4,1,6,5,7,8,2]=>[2,8,7,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,6,2,3,8,1,4]=>[4,1,8,3,2,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,5,7,6,2,8,1,3]=>[3,1,8,2,6,7,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,1,8,7,5,2,6,4]=>[4,6,2,5,7,8,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [2,8,3,1,5,4,7,6]=>[6,7,4,5,1,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,8,2,1,5,3,7,6]=>[6,7,3,5,1,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,8,3,1,4,2,7,6]=>[6,7,2,4,1,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,6,2,4,3,7,5]=>[5,7,3,4,2,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,6,2,5,3,7,4]=>[4,7,3,5,2,6,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [3,8,4,1,6,2,7,5]=>[5,7,2,6,1,4,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,8,3,1,6,2,7,5]=>[5,7,2,6,1,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,8,2,1,6,3,7,4]=>[4,7,3,6,1,2,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,8,3,1,6,4,7,5]=>[5,7,4,6,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,8,3,1,7,4,6,5]=>[5,6,4,7,1,3,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [7,2,6,8,3,1,5,4]=>[4,5,1,3,8,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,8,3,1,7,2,6,4]=>[4,6,2,7,1,3,8,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [3,6,7,2,5,4,8,1]=>[1,8,4,5,2,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,7,8,9,6,5,4,3,2]=>[2,3,4,5,6,9,8,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,1,3]=>2 [1,4,5,6,7,8,9,3,2]=>[2,3,9,8,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,6]=>2 [1,7,6,8,9,5,4,3,2]=>[2,3,4,5,9,8,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,1,4]=>2 [5,4,3,1,2,7,6,8]=>[8,6,7,2,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,5,2,3,7,8]=>[8,7,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,2,8,3,7,5]=>[5,7,3,8,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,1,3,6,7,2,5,8]=>[8,5,2,7,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,1,3,4,7,8]=>[8,7,4,3,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,1,7,4,5,8]=>[8,5,4,7,1,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,3,7,2,4,1,8]=>[8,1,4,2,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,8,1,3,6,4]=>[4,6,3,1,8,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,1,6,7,3,2,4,8]=>[8,4,2,3,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,3,5,7,6,4]=>[4,6,7,5,3,2,8,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [1,2,6,7,4,5,3,8]=>[8,3,5,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,8,4,6,3,5]=>[5,3,6,4,8,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,4,2,6,5,8,1,3]=>[3,1,8,5,6,2,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,3,6,1,5,4,8,2]=>[2,8,4,5,1,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,2,6,7,1,4,8,5]=>[5,8,4,1,7,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,3,2,1,8,4,6]=>[6,4,8,1,2,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,3,8,6,7,1,5,2]=>[2,5,1,7,6,8,3,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [3,4,1,8,6,2,5,7]=>[7,5,2,6,8,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,4,1,8,5,3,2,6]=>[6,2,3,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,2,5,6,8,1,3,7]=>[7,3,1,8,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,2,8,6,1,5,4]=>[4,5,1,6,8,2,3,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [7,5,8,2,6,1,4,3]=>[3,4,1,6,2,8,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [5,1,8,7,6,3,2,4]=>[4,2,3,6,7,8,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,6,8,7,3,5,1,2]=>[2,1,5,3,7,8,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [6,4,1,2,3,5,8,7]=>[7,8,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,7,1,6,5,8,3]=>[3,8,5,6,1,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,4,1,2,3,6,8,5]=>[5,8,6,3,2,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,8,6,3,2,1,7]=>[7,1,2,3,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,2,5,6,8,4,3,1]=>[1,3,4,8,6,5,2,7]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [8,4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4,8]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,3,2,1]=>2 [7,6,8,3,4,1,5,2]=>[2,5,1,4,3,8,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>2 [4,6,8,5,1,2,7,3]=>[3,7,2,1,5,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,5,1,8,4,6,3,7]=>[7,3,6,4,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,2,4,6,3,5,8,1]=>[1,8,5,3,6,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,2,3,1,7,6,4,8]=>[8,4,6,7,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,4,1,8,5,6]=>[6,5,8,1,4,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,3,4,1,8,5,2]=>[2,5,8,1,4,3,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,6,3,1,8,4,7,5]=>[5,7,4,8,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,6,2,8,4,1,7,5]=>[5,7,1,4,8,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,5,3,8,7,2,1,6]=>[6,1,2,7,8,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,1,3,6,8,5,2,7]=>[7,2,5,8,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,5,7,4,8,1,3]=>[3,1,8,4,7,5,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,3,5,7,1,2,8,4]=>[4,8,2,1,7,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,4,6,1,8,3,7]=>[7,3,8,1,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,6,1,2,7,8,3]=>[3,8,7,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,3,6,1,7,8,2]=>[2,8,7,1,6,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,5,3,1,6,7,8,4]=>[4,8,7,6,1,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,7,4,5,8,2,6]=>[6,2,8,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,8,4,2,7,5,6]=>[6,5,7,2,4,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,2,1,7,8,6,3]=>[3,6,8,7,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,6,8,3,4,2,5,7]=>[7,5,2,4,3,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [9,8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,1,1]=>6 [9,8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [9,8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8,9]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,2,1,1]=>3 [10,9,8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,1,1,1]=>7 [10,9,8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,1,1,1,1]=>6 [10,9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1,1]=>4 [9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,2,1]=>1 [7,2,8,6,4,1,5,3]=>[3,5,1,4,6,8,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [5,1,7,8,4,2,3,6]=>[6,3,2,4,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,8,2,1,6,7,5,4]=>[4,5,7,6,1,2,8,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [2,8,3,1,7,5,6,4]=>[4,6,5,7,1,3,8,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [6,5,4,1,8,2,3,7]=>[7,3,2,8,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,8,3,2,5,1,6,4]=>[4,6,1,5,2,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [7,8,2,4,5,6,3,1]=>[1,3,6,5,4,2,8,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,2]=>1 [6,4,1,5,3,7,2,8]=>[8,2,7,3,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,6,4,7,8,3,5]=>[5,3,8,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,2,6,7,8,3,1]=>[1,3,8,7,6,2,4,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,7,8,3,4,2,1,6]=>[6,1,2,4,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,7,5,3,8,2,6,1]=>[1,6,2,8,3,5,7,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [1,6,8,4,5,7,2,3]=>[3,2,7,5,4,8,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [7,8,4,5,6,1,3,2]=>[2,3,1,6,5,4,8,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,2]=>2 [1,6,8,4,5,7,3,2]=>[2,3,7,5,4,8,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [6,1,3,8,4,5,7,2]=>[2,7,5,4,8,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [1,2,5,8,4,6,7,3]=>[3,7,6,4,8,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [1,5,3,8,4,6,7,2]=>[2,7,6,4,8,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [1,3,5,8,4,6,7,2]=>[2,7,6,4,8,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,1,5,8,4,6,7,2]=>[2,7,6,4,8,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,4,5,8,2,1,6,7]=>[7,6,1,2,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2,8]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [6,8,7,3,2,1,4,5]=>[5,4,1,2,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [3,4,8,2,7,1,5,6]=>[6,5,1,7,2,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [7,2,6,1,4,8,3,5]=>[5,3,8,4,1,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,2,8,3,4,5,1,6]=>[6,1,5,4,3,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,4,1,7,2,3,6,8]=>[8,6,3,2,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,8,3,4,5,1]=>[1,5,4,3,8,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [2,4,3,7,8,5,6,1]=>[1,6,5,8,7,3,4,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [5,1,8,7,2,4,6,3]=>[3,6,4,2,7,8,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [4,8,7,1,2,3,5,6]=>[6,5,3,2,1,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [2,7,8,6,3,4,5,1]=>[1,5,4,3,6,8,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [2,1,7,6,3,4,5,8]=>[8,5,4,3,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,5,3,8,2,4,7]=>[7,4,2,8,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,1,2,8,6,7,4,5]=>[5,4,7,6,8,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,4,5,2,3,8,7,6]=>[6,7,8,3,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,2,1,5,3,6,8,7]=>[7,8,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,2,8,4,5,7,6]=>[6,7,5,4,8,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,6,1,4,8,2,7,5]=>[5,7,2,8,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,2,6,5,7,8,1,4]=>[4,1,8,7,5,6,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,1,5,6,8,7,2,4]=>[4,2,7,8,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [2,1,5,8,6,7,3,4]=>[4,3,7,6,8,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,1,7,5,8,6,2,4]=>[4,2,6,8,5,7,1,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,7,1,4,8,6,2,5]=>[5,2,6,8,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,7,1,8,4,3,6,5]=>[5,6,3,4,8,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,6,1,8,7,3,4,5]=>[5,4,3,7,8,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [2,7,1,8,6,3,4,5]=>[5,4,3,6,8,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,1,8,7,4,6,5,3]=>[3,5,6,4,7,8,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [7,2,1,8,3,5,4,6]=>[6,4,5,3,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,1,7,8,3,5,6,4]=>[4,6,5,3,8,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [5,2,7,4,6,3,8,1]=>[1,8,3,6,4,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,4,6,8,5,7,2,3]=>[3,2,7,5,8,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3,8]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>2 [2,8,5,1,6,4,3,7]=>[7,3,4,6,1,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,5,8,3,7,1,4,6]=>[6,4,1,7,3,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,8,2,5,6,3,1,7]=>[7,1,3,6,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,8,4,3,6,7,2,1]=>[1,2,7,6,3,4,8,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [2,5,3,8,6,7,4,1]=>[1,4,7,6,8,3,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [3,2,6,5,1,8,4,7]=>[7,4,8,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,8,1,6,7,3,2]=>[2,3,7,6,1,8,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [7,4,3,6,2,8,1,5]=>[5,1,8,2,6,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,7,6,2,3,4,8,5]=>[5,8,4,3,2,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,8,4,7,1,2,6]=>[6,2,1,7,4,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,5,3,8,1,2,6,7]=>[7,6,2,1,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,5,3,8,1,7,2,4]=>[4,2,7,1,8,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,2,8,7,6,1,3,5]=>[5,3,1,6,7,8,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [8,1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [8,7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7,8]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>1 [1,7,2,8,3,4,6,5]=>[5,6,4,3,8,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,6,3,7,8,1,4,5]=>[5,4,1,8,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,3,8,7,2,1,5,4]=>[4,5,1,2,7,8,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [7,2,5,6,3,4,8,1]=>[1,8,4,3,6,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,2,8,6,3,1,5,4]=>[4,5,1,3,6,8,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,2,4,5,8,6,3,1]=>[1,3,6,8,5,4,2,7]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [7,2,3,6,8,5,4,1]=>[1,4,5,8,6,3,2,7]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [7,2,8,5,4,1,3,6]=>[6,3,1,4,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,5,4,2,8,1,6,3]=>[3,6,1,8,2,4,5,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,6,3,2,8,4,5,1]=>[1,5,4,8,2,3,6,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,2,3,6,8,4,5,1]=>[1,5,4,8,6,3,2,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [3,1,6,7,4,5,2,8]=>[8,2,5,4,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,8,2,4,5,1]=>[1,5,4,2,8,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [8,4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,4,2,5,7,3,8,1]=>[1,8,3,7,5,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,8,4,2,3,6,1]=>[1,6,3,2,4,8,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [6,4,5,2,8,3,7,1]=>[1,7,3,8,2,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,5,2,4,3,8,7,1]=>[1,7,8,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,5,6,8,4,3,2,1,9]=>[9,1,2,3,4,8,6,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,6,5,3,4,8,2,1,9]=>[9,1,2,8,4,3,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,3,2,6,4,8,5,1]=>[1,5,8,4,6,2,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,7,2,6,5,3,8,1]=>[1,8,3,5,6,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,2,4,6,3,8,5,1]=>[1,5,8,3,6,4,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1,8]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [2,8,3,7,6,1,5,4]=>[4,5,1,6,7,3,8,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [4,6,5,3,8,1,7,2]=>[2,7,1,8,3,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,3,4,8,1,7,5,2]=>[2,5,7,1,8,4,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [7,2,3,8,4,6,5,1]=>[1,5,6,4,8,3,2,7]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [2,4,8,7,6,1,5,3]=>[3,5,1,6,7,8,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [3,8,1,7,4,6,5,2]=>[2,5,6,4,7,1,8,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>2 [8,6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,8,5,2,7,6,3,1]=>[1,3,6,7,2,5,8,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,3,1,1]=>1 [5,8,6,2,7,1,3,4]=>[4,3,1,7,2,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [4,7,8,6,5,2,1,3]=>[3,1,2,5,6,8,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [3,8,2,7,4,1,6,5]=>[5,6,1,4,7,2,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [2,8,6,5,7,1,3,4]=>[4,3,1,7,5,6,8,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [3,7,8,6,2,5,4,1]=>[1,4,5,2,6,8,7,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [1,4,8,6,2,5,7,3]=>[3,7,5,2,6,8,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,8,4,7,2,1,6,5]=>[5,6,1,2,7,4,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [6,8,7,2,4,1,3,5]=>[5,3,1,4,2,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [3,4,8,6,2,5,1,7]=>[7,1,5,2,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,3,8,6,2,5,4,1]=>[1,4,5,2,6,8,3,7]=>[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>1 [5,3,8,1,6,4,7,2]=>[2,7,4,6,1,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,5,8,1,6,4,7,2]=>[2,7,4,6,1,8,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,8,5,1,7,6,3,2]=>[2,3,6,7,1,5,8,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,3,1,1]=>2 [5,8,1,7,6,2,3,4]=>[4,3,2,6,7,1,8,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [3,1,8,5,6,4,7,2]=>[2,7,4,6,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,3,8,6,4,5,1,7]=>[7,1,5,4,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,4,8,6,5,2,3,7]=>[7,3,2,5,6,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,6,2,8,5,4,3,1]=>[1,3,4,5,8,2,6,7]=>[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,3]=>1 [4,6,8,7,1,2,3,5]=>[5,3,2,1,7,8,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [7,8,6,1,2,4,3,5]=>[5,3,4,2,1,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [2,3,7,8,6,5,1,4]=>[4,1,5,6,8,7,3,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [1,7,4,8,2,6,3,5]=>[5,3,6,2,8,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,1,7,2,4,6,3,8]=>[8,3,6,4,2,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,1,4,8,5,6]=>[6,5,8,4,1,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,4,8,5,1,7,2,3]=>[3,2,7,1,5,8,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,2,8,1,3,6,7,4]=>[4,7,6,3,1,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [6,3,2,7,4,5,8,1]=>[1,8,5,4,7,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,2,1,8,7,4,5,3]=>[3,5,4,7,8,1,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [6,2,1,8,7,3,5,4]=>[4,5,3,7,8,1,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [8,6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [6,8,3,2,1,7,5,4]=>[4,5,7,1,2,3,8,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [5,1,8,6,2,4,7,3]=>[3,7,4,2,6,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,3,4,7,8,2,6,5]=>[5,6,2,8,7,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,5,4,3,8,7,2,6]=>[6,2,7,8,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,5,6,2,4,7,8,1]=>[1,8,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,6,7,2,4,8,1]=>[1,8,4,2,7,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,5,7,2,6,8,4,1]=>[1,4,8,6,2,7,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,5,2,7,6,8,4,1]=>[1,4,8,6,7,2,5,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,5,7,4,2,6,8,1]=>[1,8,6,2,4,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,5,7,2,8,6,1]=>[1,6,8,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,5,4,7,2,8,6,1]=>[1,6,8,2,7,4,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,2,5,7,4,8,6,1]=>[1,6,8,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,5,7,8,4,2,6,1]=>[1,6,2,4,8,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [2,3,5,7,8,4,6,1]=>[1,6,4,8,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,5,2,7,8,6,4,1]=>[1,4,6,8,7,2,5,3]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [3,5,7,8,2,6,4,1]=>[1,4,6,2,8,7,5,3]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [3,5,7,8,6,2,4,1]=>[1,4,2,6,8,7,5,3]=>[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [4,2,5,6,7,3,8,1]=>[1,8,3,7,6,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,1,8,4,3,5,2,7]=>[7,2,5,3,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,6,4,8,2,3,7]=>[7,3,2,8,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,8,4,1,5,3,6,7]=>[7,6,3,5,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,1,8,3,5,2,6,7]=>[7,6,2,5,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,1,8,2,5,4,6,7]=>[7,6,4,5,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,2,5,1,8,7,6,3]=>[3,6,7,8,1,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [5,2,4,8,1,7,6,3]=>[3,6,7,1,8,4,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,4,8,6,7,2,5,3]=>[3,5,2,7,6,8,4,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [4,6,8,1,2,5,3,7]=>[7,3,5,2,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,4,5,8,6,3,1,7]=>[7,1,3,6,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,8,2,3,1,7,6]=>[6,7,1,3,2,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,7,5,8,2,3,1,6]=>[6,1,3,2,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,6,7,5,1,8,3,2]=>[2,3,8,1,5,7,6,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,7,3,6,5,8,2,4]=>[4,2,8,5,6,3,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,6,7,5,2,8,3,1]=>[1,3,8,2,5,7,6,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,8,7,2,4,3,1,6]=>[6,1,3,4,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [5,1,2,8,6,7,3,4]=>[4,3,7,6,8,2,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,5,7,8,6,1,4,3]=>[3,4,1,6,8,7,5,2]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [4,3,1,6,5,2,8,7]=>[7,8,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,7,2,1,5,3,8]=>[8,3,5,1,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [9,8,7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,1,1]=>6 [1,7,6,2,4,3,8,5]=>[5,8,3,4,2,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,7,2,1,5,4,8]=>[8,4,5,1,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,7,1,5,2,8]=>[8,2,5,1,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,7,4,5,1,8]=>[8,1,5,4,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,6,8,7,1,3,2,4]=>[4,2,3,1,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>4 [2,3,8,6,5,1,4,7]=>[7,4,1,5,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,6,1,4,5,8,2,3]=>[3,2,8,5,4,1,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,1,3,6,5,8,4,7]=>[7,4,8,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,2,8,4,3,7,1]=>[1,7,3,4,8,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [7,6,8,5,2,4,1,3]=>[3,1,4,2,5,8,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [5,3,7,2,4,1,8,6]=>[6,8,1,4,2,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,2,8,6,3,7,4]=>[4,7,3,6,8,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [6,1,4,7,8,5,3,2]=>[2,3,5,8,7,4,1,6]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [5,6,8,3,7,4,2,1]=>[1,2,4,7,3,8,6,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,2,3,1]=>1 [6,8,1,5,2,7,4,3]=>[3,4,7,2,5,1,8,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [4,5,6,2,8,3,7,1]=>[1,7,3,8,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [4,5,8,2,3,7,6,1]=>[1,6,7,3,2,8,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [5,6,2,1,3,8,4,7]=>[7,4,8,3,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,4,7,2,5,8,1]=>[1,8,5,2,7,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5,8]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,3,3,1]=>1 [8,6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,6,2,7,4,8,3,1]=>[1,3,8,4,7,2,6,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,8,1,3,2,5,7,6]=>[6,7,5,2,3,1,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,2,5,8,1,3,7,6]=>[6,7,3,1,8,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,7,3,8,5,1,6,4]=>[4,6,1,5,8,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,3,8,4,1,5,7,6]=>[6,7,5,1,4,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,1,8,5,3,4,6,7]=>[7,6,4,3,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,8,1,5,2,4,6,3]=>[3,6,4,2,5,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [7,4,5,6,8,1,3,2]=>[2,3,1,8,6,5,4,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [7,6,8,1,4,5,3,2]=>[2,3,5,4,1,8,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>2 [7,5,1,8,4,6,3,2]=>[2,3,6,4,8,1,5,7]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [7,2,5,3,6,4,8,1]=>[1,8,4,6,3,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,3,1,2,6,8,4,5]=>[5,4,8,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,4,5,1,8,6,3,2]=>[2,3,6,8,1,5,4,7]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [2,4,8,6,1,5,3,7]=>[7,3,5,1,6,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,5,4,1,8,6,7,2]=>[2,7,6,8,1,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,3,5,8,1,6,7,2]=>[2,7,6,1,8,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [8,5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,1,3,1]=>2 [1,7,8,5,6,4,3,2]=>[2,3,4,6,5,8,7,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,1,2,2]=>2 [2,7,1,3,5,8,4,6]=>[6,4,8,5,3,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,1,8,6,4,5,3,7]=>[7,3,5,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,8,1,7,4,5,3,6]=>[6,3,5,4,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,7,8,6,5,1,4,3]=>[3,4,1,5,6,8,7,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>3 [4,2,5,8,6,1,7,3]=>[3,7,1,6,8,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,5,4,6,8,1,3,2]=>[2,3,1,8,6,4,5,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [2,4,5,8,6,1,7,3]=>[3,7,1,6,8,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,3,6,2,5,4,8,1]=>[1,8,4,5,2,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,2,6,4,8,5,3,7]=>[7,3,5,8,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,1,8,5,6,4,3,2]=>[2,3,4,6,5,8,1,7]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,1,2,2]=>2 [6,8,1,5,7,4,3,2]=>[2,3,4,7,5,1,8,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,3,1]=>2 [8,6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,1,3,1]=>2 [5,7,8,1,6,4,3,2]=>[2,3,4,6,1,8,7,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,1,2,2]=>2 [1,6,2,3,5,8,4,7]=>[7,4,8,5,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,1,2,4,8,5,3,6]=>[6,3,5,8,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,6,8,4,5,1,7,3]=>[3,7,1,5,4,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,6,5,7,8,1,3,2]=>[2,3,1,8,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,3,6,4,2,1,8,7]=>[7,8,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,5,7,4,1,8,3,2]=>[2,3,8,1,4,7,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,1,7,4,5,2,8,3]=>[3,8,2,5,4,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,5,7,8,3,6,2]=>[2,6,3,8,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,3,8,6,4,2,7,1]=>[1,7,2,4,6,8,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,4,3,8,5,2,7,1]=>[1,7,2,5,8,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [1,6,5,3,8,4,7,2]=>[2,7,4,8,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [7,6,2,3,5,1,4,8]=>[8,4,1,5,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,3,4,8,1,7]=>[7,1,8,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,2,5,3,4,8,7,1]=>[1,7,8,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [2,6,5,3,4,8,1,7]=>[7,1,8,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,4,8,1,7,2,6]=>[6,2,7,1,8,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,1,3,4,8,7,2,6]=>[6,2,7,8,4,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,5,3,4,8,7,2,6]=>[6,2,7,8,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,1,3,8,4,7,6,2]=>[2,6,7,4,8,3,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [5,3,8,1,4,7,6,2]=>[2,6,7,4,1,8,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,3,5,8,1,7,6,2]=>[2,6,7,1,8,5,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [3,6,5,4,8,1,2,7]=>[7,2,1,8,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,6,5,4,8,2,7,1]=>[1,7,2,8,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [3,5,2,4,8,7,6,1]=>[1,6,7,8,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [2,4,6,1,5,7,8,3]=>[3,8,7,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,6,3,1,5,7,8,4]=>[4,8,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,3,6,8,4,1,7]=>[7,1,4,8,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,2,5,3,1,7,8,4]=>[4,8,7,1,3,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,6,5,8,4,1,7]=>[7,1,4,8,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,5,1,7,6,4,8]=>[8,4,6,7,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,4,1,5,7,8]=>[8,7,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,1,3,2,8,6]=>[6,8,2,3,1,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,3,7,6,4,1,5,8]=>[8,5,1,4,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,7,4,1,5,8]=>[8,5,1,4,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,3,8,7,4,1,5]=>[5,1,4,7,8,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [7,5,2,3,1,6,4,8]=>[8,4,6,1,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,5,2,7,8,4]=>[4,8,7,2,5,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,8,3,5,4,6,2,7]=>[7,2,6,4,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,1,7,4,8,5,3,6]=>[6,3,5,8,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,3,7,4,1,5,6,8]=>[8,6,5,1,4,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [5,3,1,4,2,6,8,7]=>[7,8,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,8,5,2,6,4,3,1]=>[1,3,4,6,2,5,8,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,1,2,2]=>1 [4,2,7,5,1,3,6,8]=>[8,6,3,1,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,8,1,3,6,7,5]=>[5,7,6,3,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,1,3,6,4,2,5,8]=>[8,5,2,4,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [1,7,4,6,3,5,8,2]=>[2,8,5,3,6,4,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,2,7,1,4,8,3,6]=>[6,3,8,4,1,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,2,7,3,6,1,4,8]=>[8,4,1,6,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,8,3,1,2,5,7]=>[7,5,2,1,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,4,1,3,7,2,5,8]=>[8,5,2,7,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,6,1,2,5,8,3]=>[3,8,5,2,1,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,2,5,3,6,1,4,8]=>[8,4,1,6,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,4,8,1,2,5,7,3]=>[3,7,5,2,1,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,8,3,4,1,2,7,6]=>[6,7,2,1,4,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,7,8,3,6,5,1,2]=>[2,1,5,6,3,8,7,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [5,2,4,8,3,7,1,6]=>[6,1,7,3,8,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [4,6,1,5,7,8,2,3]=>[3,2,8,7,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,6,7,8,3,2,5,1]=>[1,5,2,3,8,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [4,2,1,7,6,5,3,8]=>[8,3,5,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,5,1,4,6,2,8]=>[8,2,6,4,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,7,4,1,5,2,3]=>[3,2,5,1,4,7,8,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>3 [5,2,7,3,1,4,8,6]=>[6,8,4,1,3,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,1,2,4,7,8,3,5]=>[5,3,8,7,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,6,5,7,1,8,3]=>[3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,6,7,4,5,3,8,1]=>[1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,6,2,7,5,3,8,1]=>[1,8,3,5,7,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,6,7,8,5,3,1]=>[1,3,5,8,7,6,2,4]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [6,7,4,5,2,8,3,1]=>[1,3,8,2,5,4,7,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,8,5,1,2,4,3,7]=>[7,3,4,2,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,7,1,6,2,8,3,5]=>[5,3,8,2,6,1,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,1,6,3,2,4,8,5]=>[5,8,4,2,3,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,8,7,1,3,4,5]=>[5,4,3,1,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [8,6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6,8]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [6,7,1,2,3,8,5,4]=>[4,5,8,3,2,1,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [7,8,5,1,2,3,6,4]=>[4,6,3,2,1,5,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [5,3,4,1,6,8,7,2]=>[2,7,8,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,4,6,1,8,3,7,2]=>[2,7,3,8,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [7,4,1,3,6,8,5,2]=>[2,5,8,6,3,1,4,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [7,1,8,3,2,6,5,4]=>[4,5,6,2,3,8,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [1,2,4,8,3,7,5,6]=>[6,5,7,3,8,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,3,4,2,5,1,8,6]=>[6,8,1,5,2,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,2,5,1,6,4,3,8]=>[8,3,4,6,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,1,4,6,3,8]=>[8,3,6,4,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,8,4,7,3,1]=>[1,3,7,4,8,6,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [6,2,1,4,5,8,7,3]=>[3,7,8,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [6,3,8,5,7,1,4,2]=>[2,4,1,7,5,8,3,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [2,4,3,8,5,7,1,6]=>[6,1,7,5,8,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,8,3,1,4,6,5,7]=>[7,5,6,4,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,3,7,4,8,6,5,1]=>[1,5,6,8,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [5,6,7,3,1,4,2,8]=>[8,2,4,1,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,6,1,3,8,2]=>[2,8,3,1,6,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,5,8,1,4,7,3,2]=>[2,3,7,4,1,8,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [5,8,7,2,3,1,4,6]=>[6,4,1,3,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,7,8,1,5,3,6,2]=>[2,6,3,5,1,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [4,3,1,7,6,5,2,8]=>[8,2,5,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,2,7,4,1,8]=>[8,1,4,7,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,6,8,2,1,5]=>[5,1,2,8,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,4,6,8,7,3,5,2]=>[2,5,3,7,8,6,4,1]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [5,3,8,1,4,2,7,6]=>[6,7,2,4,1,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,4,7,5,8,6,2,3]=>[3,2,6,8,5,7,4,1]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [8,5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5,8]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [7,2,8,5,3,4,1,6]=>[6,1,4,3,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,1,3,5,2,6,8,7]=>[7,8,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,1,8,5,6,7,4,2]=>[2,4,7,6,5,8,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [4,3,7,6,1,8,2,5]=>[5,2,8,1,6,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,1,7,6,2,3,4,8]=>[8,4,3,2,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,6,2,8,1,5]=>[5,1,8,2,6,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,2,7,6,4,1,8,3]=>[3,8,1,4,6,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,6,5,7,8,4,1,2]=>[2,1,4,8,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,5,2,4,7,3,1,8]=>[8,1,3,7,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,2,5,7,8,3,4]=>[4,3,8,7,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,4,3,1,8,5,7,2]=>[2,7,5,8,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [2,4,3,5,8,1,7,6]=>[6,7,1,8,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,2,5,3,1,6,8,7]=>[7,8,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,2,7,6,4,3,8,5]=>[5,8,3,4,6,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,7,6,8,1,5,2]=>[2,5,1,8,6,7,4,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [2,4,7,6,8,1,5,3]=>[3,5,1,8,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,1,7,6,4,5,3,8]=>[8,3,5,4,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,7,6,8,5,2,3]=>[3,2,5,8,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [4,6,2,1,5,8,3,7]=>[7,3,8,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,7,2,3,8,5,1]=>[1,5,8,3,2,7,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [2,3,5,8,7,4,1,6]=>[6,1,4,7,8,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,3,5,8,7,4,6,1]=>[1,6,4,7,8,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,5,3,7,8,1,2,6]=>[6,2,1,8,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,4,2,7,8,3,1,6]=>[6,1,3,8,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,3,5,8,1,6,4,7]=>[7,4,6,1,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,5,8,7,3,6,4,2]=>[2,4,6,3,7,8,5,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [6,2,5,4,7,1,3,8]=>[8,3,1,7,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,4,5,7,3,6,2]=>[2,6,3,7,5,4,8,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [1,7,4,5,8,3,6,2]=>[2,6,3,8,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [8,6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,5,3,1,4,7,6,8]=>[8,6,7,4,1,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,7,8,3,4,1,6]=>[6,1,4,3,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,3,7,8,1,5,4,6]=>[6,4,5,1,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,8,5,6,3,4,1,7]=>[7,1,4,3,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,6,2,7,8,3,1,4]=>[4,1,3,8,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,4,2,8,3,5,6,1]=>[1,6,5,3,8,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,2,8,6,3,5,1,7]=>[7,1,5,3,6,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,8,4,1,2,5,6,3]=>[3,6,5,2,1,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [6,7,3,8,1,4,5,2]=>[2,5,4,1,8,3,7,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [2,6,8,4,3,1,5,7]=>[7,5,1,3,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,3,7,5,8,4,6,1]=>[1,6,4,8,5,7,3,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,7,8,5,1,4,6,2]=>[2,6,4,1,5,8,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [2,3,7,8,5,4,6,1]=>[1,6,4,5,8,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,3,8,5,4,2,6,1]=>[1,6,2,4,5,8,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [4,8,6,1,2,5,3,7]=>[7,3,5,2,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,5,8,1,2,3,6,4]=>[4,6,3,2,1,8,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,2,8,7,4,6,5,3]=>[3,5,6,4,7,8,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [4,3,2,7,6,1,5,8]=>[8,5,1,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,6,5,3,1,4,8]=>[8,4,1,3,5,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,8,2,7,4,6,5]=>[5,6,4,7,2,8,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [4,3,2,8,1,7,5,6]=>[6,5,7,1,8,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,5,4,1,6,3,8,2]=>[2,8,3,6,1,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,5,3,2,4,8,7]=>[7,8,4,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,7,3,5,2,4,8,6]=>[6,8,4,2,5,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,2,1,3,5,4,6,8]=>[8,6,4,5,3,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [5,3,1,7,6,4,8,2]=>[2,8,4,6,7,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,8,7,5,2,3,4]=>[4,3,2,5,7,8,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [6,5,4,8,2,3,7,1]=>[1,7,3,2,8,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [1,6,3,7,8,4,5,2]=>[2,5,4,8,7,3,6,1]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,3,6,1,8,5,2,7]=>[7,2,5,8,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,8,7,3,6,2,5]=>[5,2,6,3,7,8,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [4,5,7,6,3,1,8,2]=>[2,8,1,3,6,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,5,1,4,7,8,2]=>[2,8,7,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,7,3,1,5,8,2]=>[2,8,5,1,3,7,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,1,8,7,3,6,2]=>[2,6,3,7,8,1,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [2,5,8,1,6,7,4,3]=>[3,4,7,6,1,8,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [8,3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,2,4,7,5,3,1,8]=>[8,1,3,5,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,1,8,7,3,4]=>[4,3,7,8,1,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,2,6,1,5,8,7,4]=>[4,7,8,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [6,2,1,8,4,5,7,3]=>[3,7,5,4,8,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,1,8,7,6,4,2,3]=>[3,2,4,6,7,8,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>3 [6,1,4,8,3,7,2,5]=>[5,2,7,3,8,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,2,3,6,7,5,1,8]=>[8,1,5,7,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,8,3,5,2,4,7]=>[7,4,2,5,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,2,4,8,5,1,3,6]=>[6,3,1,5,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,1,3,8,4,7,2,5]=>[5,2,7,4,8,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,3,4,8,5,6,2,7]=>[7,2,6,5,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,3,1,5,8,7,4,6]=>[6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [8,1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [5,2,1,4,8,7,3,6]=>[6,3,7,8,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [2,8,3,5,4,7,1,6]=>[6,1,7,4,5,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,2,4,8,1,6,3,5]=>[5,3,6,1,8,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,8,2,4,7,5,6,1]=>[1,6,5,7,4,2,8,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [2,8,1,4,6,5,7,3]=>[3,7,5,6,4,1,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,7,2,3,8,5,6,4]=>[4,6,5,8,3,2,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,3,8,5,6,7,2,4]=>[4,2,7,6,5,8,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1,8]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>2 [4,2,1,5,7,6,8,3]=>[3,8,6,7,5,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,2,5,7,8,6,3]=>[3,6,8,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,3,2,7,6,1,8,5]=>[5,8,1,6,7,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,6,5,3,1,8,4]=>[4,8,1,3,5,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,7,1,5,4,6,3]=>[3,6,4,5,1,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [5,2,3,1,8,7,6,4]=>[4,6,7,8,1,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [2,7,6,4,3,5,8,1]=>[1,8,5,3,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,7,2,5,3,4,8,1]=>[1,8,4,3,5,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,8,4,1,3,6,7,2]=>[2,7,6,3,1,4,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,5,3,7,6,4,2]=>[2,4,6,7,3,5,8,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,2,2,1,1]=>2 [3,2,7,4,8,1,5,6]=>[6,5,1,8,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,1,5,8,7,4,6,2]=>[2,6,4,7,8,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [1,5,3,8,6,4,7,2]=>[2,7,4,6,8,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [8,1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,5,4,7,3,1,8,6]=>[6,8,1,3,7,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,6,3,1,2,5,7,8]=>[8,7,5,2,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,2,1,5,4,8,6]=>[6,8,4,5,1,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,1,6,2,3,7,8]=>[8,7,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,4,7,2,6,8]=>[8,6,2,7,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,3,4,1,7,8]=>[8,7,1,4,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,2,1,7,3,8]=>[8,3,7,1,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,1,2,8,7,3]=>[3,7,8,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [6,1,2,3,4,5,8,7,9]=>[9,7,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,2,3,5,7,8,1,4]=>[4,1,8,7,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,4,7,8,5,1,2]=>[2,1,5,8,7,4,3,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [5,6,1,4,2,7,8,3]=>[3,8,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,1,4,2,6,8,3]=>[3,8,6,2,4,1,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,8,1,4,2,6,7,3]=>[3,7,6,2,4,1,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,3,8,4,6,5,1,7]=>[7,1,5,6,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,3,8,5,1,4,7,2]=>[2,7,4,1,5,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [8,2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [5,7,3,4,8,6,2,1]=>[1,2,6,8,4,3,7,5]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [5,4,1,2,7,6,3,8]=>[8,3,6,7,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,3,2,7,6,8]=>[8,6,7,2,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,4,6,8,7,2]=>[2,7,8,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,4,3,5,1,8,7,2]=>[2,7,8,1,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [8,2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [2,3,7,1,6,8,4,5]=>[5,4,8,6,1,7,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,3,1,5,6,2,7,8]=>[8,7,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,7,3,1,2,4,6]=>[6,4,2,1,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,1,2,8,7,3,6,5]=>[5,6,3,7,8,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [2,5,6,3,8,7,1,4]=>[4,1,7,8,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,1,2,4,3,8,7,5]=>[5,7,8,3,4,2,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,3,4,1,2,6,8,5]=>[5,8,6,2,1,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,8,2,7,4,5,1,6]=>[6,1,5,4,7,2,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,8,2,4,5,1,7,3]=>[3,7,1,5,4,2,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,3,8,1,7,5,6,2]=>[2,6,5,7,1,8,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [8,1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1,8]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [8,3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3,8]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [8,7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7,8]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [5,1,8,4,2,3,7,6]=>[6,7,3,2,4,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>5 [6,8,1,4,7,3,2,5]=>[5,2,3,7,4,1,8,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [8,4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4,8]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [8,2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2,8]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [2,3,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1]=>4 [2,5,1,8,7,3,6,4]=>[4,6,3,7,8,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [4,2,1,8,7,3,6,5]=>[5,6,3,7,8,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [1,4,8,5,2,7,6,3]=>[3,6,7,2,5,8,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,8,1,7,3,4,6,5]=>[5,6,4,3,7,1,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [1,8,2,3,5,6,4,7]=>[7,4,6,5,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,5,2,3,7,6,4,8]=>[8,4,6,7,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,2,3,8,4,5]=>[5,4,8,3,2,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,8,2,3,5,4,7,6]=>[6,7,4,5,3,2,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,7,3,8,6,2,5,4]=>[4,5,2,6,8,3,7,1]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [7,3,8,6,2,1,5,4]=>[4,5,1,2,6,8,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [5,8,2,7,3,1,4,6]=>[6,4,1,3,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [5,1,3,8,4,7,2,6]=>[6,2,7,4,8,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,2,3,7,4,1,6]=>[6,1,4,7,3,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [8,3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3,8]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [4,3,6,1,8,2,5,7]=>[7,5,2,8,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,8,7,4,6,2,1,5]=>[5,1,2,6,4,7,8,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [5,8,3,1,4,6,2,7]=>[7,2,6,4,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,4,3,7,2,1,8,6]=>[6,8,1,2,7,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,3,8,7,1,2,6]=>[6,2,1,7,8,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [4,2,7,5,1,3,8,6]=>[6,8,3,1,5,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,6,2,8,7,4,5,3]=>[3,5,4,7,8,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [4,3,1,6,7,2,8,5]=>[5,8,2,7,6,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,4,1,3,8,2,6]=>[6,2,8,3,1,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [6,5,2,4,3,8,1,7]=>[7,1,8,3,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,5,2,4,3,6,1,8]=>[8,1,6,3,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,6,8,4,3,2,7]=>[7,2,3,4,8,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,8,7,1,3,2,6]=>[6,2,3,1,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [1,5,4,7,8,3,2,6]=>[6,2,3,8,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,1,3,6,5,2,8]=>[8,2,5,6,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,2,1,5,7,8,4]=>[4,8,7,5,1,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [3,10,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,10,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1,1,1]=>4 [6,3,5,2,8,4,7,1]=>[1,7,4,8,2,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [5,4,8,6,3,7,2,1]=>[1,2,7,3,6,8,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [6,4,5,8,1,3,7,2]=>[2,7,3,1,8,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [2,5,4,8,6,3,7,1]=>[1,7,3,6,8,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [1,2,5,4,8,6,3,7]=>[7,3,6,8,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,3,4,1,2,6,8,7]=>[7,8,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,3,5,2,8,6,7]=>[7,6,8,2,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,5,4,8,2,6,7]=>[7,6,2,8,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,4,8,2,6,1,7]=>[7,1,6,2,8,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,6,4,5,1,2,8,7]=>[7,8,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,7,6,2,5,4,8,3]=>[3,8,4,5,2,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,8,3,1,5,7,6,4]=>[4,6,7,5,1,3,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [3,7,2,1,5,6,8,4]=>[4,8,6,5,1,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,8,1,7,2,5,4,6]=>[6,4,5,2,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,8,4,1,2,7,5,6]=>[6,5,7,2,1,4,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,1,5,4,6,2,7,8]=>[8,7,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,1,3,7,8,2,5,6]=>[6,5,2,8,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,7,8,2,6,4,5]=>[5,4,6,2,8,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,5,6,2,8,3,7,4]=>[4,7,3,8,2,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,2,1,3,7,8,6,4]=>[4,6,8,7,3,1,2,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,1,6,5,3,8,7,4]=>[4,7,8,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [5,2,1,7,4,6,8,3]=>[3,8,6,4,7,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,1,5,7,6,8,3]=>[3,8,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,4,2,8,7,5,6]=>[6,5,7,8,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,4,3,2,8,7,5,6]=>[6,5,7,8,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,3,7,8,6,2,4,5]=>[5,4,2,6,8,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,7,8,1,3,5,2,6]=>[6,2,5,3,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,2,3,5,7,8,1,6]=>[6,1,8,7,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,6,7,5,1,4,8,3]=>[3,8,4,1,5,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,4,5,2,6,7,8,9,1]=>[1,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [3,4,5,6,7,2,8,9,1]=>[1,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [3,4,2,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [3,5,2,1,6,7,8,9,4]=>[4,9,8,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,5]=>4 [3,4,5,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [3,4,5,7,1,2,8,9,6]=>[6,9,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,3]=>6 [3,4,5,6,7,2,8,9,10,1]=>[1,10,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [3,4,5,6,7,8,2,9,10,1]=>[1,10,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [3,4,5,6,7,9,2,1,8]=>[8,1,2,9,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [3,4,2,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,10]=>1 [3,4,5,2,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,10]=>1 [3,4,5,7,1,2,8,9,10,6]=>[6,10,9,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,4]=>6 [3,4,5,6,7,2,8,9,10,11,1]=>[1,11,10,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,10]=>1 [3,4,5,6,7,8,2,9,10,11,1]=>[1,11,10,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,10]=>1 [3,4,5,6,9,2,1,7,8]=>[8,7,1,2,9,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [3,4,5,6,7,8,9,10,2,11,1]=>[1,11,2,10,9,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,10]=>1 [3,7,5,6,4,2,1,8]=>[8,1,2,4,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,1,3,7,4,2,8]=>[8,2,4,7,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,6,1,3,5,4,8]=>[8,4,5,3,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,5,8,3,6,4,1]=>[1,4,6,3,8,5,2,7]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [6,1,4,3,7,5,8,2]=>[2,8,5,7,3,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,4,6,7,5,8,2,3]=>[3,2,8,5,7,6,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,1,2,8,7,6,4,3]=>[3,4,6,7,8,2,1,5]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,1,2,1,1]=>3 [7,1,3,6,5,8,2,4]=>[4,2,8,5,6,3,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,1,3,4,6,5,8,2]=>[2,8,5,6,4,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,8,6,4,5,2,7,1]=>[1,7,2,5,4,6,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,6,8,5,3,7,2,1]=>[1,2,7,3,5,8,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [4,5,7,2,8,6,3,1]=>[1,3,6,8,2,7,5,4]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [3,7,4,5,1,6,8,2]=>[2,8,6,1,5,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,8,1,2,5,7,3]=>[3,7,5,2,1,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,7,4,5,2,8,6,1]=>[1,6,8,2,5,4,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [1,7,4,5,2,6,8,3]=>[3,8,6,2,5,4,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,5,8,2,1,3,7]=>[7,3,1,2,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,2,7,4,6,1,8,5]=>[5,8,1,6,4,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,4,6,2,1,3,8,5]=>[5,8,3,1,2,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [4,3,2,8,6,1,5,7]=>[7,5,1,6,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,8,7,6,2,3,1]=>[1,3,2,6,7,8,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>1 [8,4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,6,1,5,2,4,7,8]=>[8,7,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,6,2,5,4,1,8]=>[8,1,4,5,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,4,1,3,8,6]=>[6,8,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,8,7,5,4,2,1,6]=>[6,1,2,4,5,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,6,4,8,5,2,1,7]=>[7,1,2,5,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,3,6,5,8,1,4,2]=>[2,4,1,8,5,6,3,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [5,2,3,1,6,8,4,7]=>[7,4,8,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,2,7,8,6,3]=>[3,6,8,7,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [5,4,1,2,7,6,8,3]=>[3,8,6,7,2,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,6,1,2,8,5,7,4]=>[4,7,5,8,2,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,5,1,4,3,8,7,2]=>[2,7,8,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,3,1,2,7,5,8,4]=>[4,8,5,7,2,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,2,1,6,5,8,4,3]=>[3,4,8,5,6,1,2,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [7,4,5,3,8,6,2,1]=>[1,2,6,8,3,5,4,7]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [6,2,4,3,5,8,1,7]=>[7,1,8,5,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,3,8,4,7,6,1]=>[1,6,7,4,8,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,7,3,5,8,2,1,6]=>[6,1,2,8,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,2,5,4,8,3,1,6]=>[6,1,3,8,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,2,8,7,4,6,3,1]=>[1,3,6,4,7,8,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>1 [6,3,2,5,7,1,8,4]=>[4,8,1,7,5,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,6,3,1,5,8,2,4]=>[4,2,8,5,1,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,3,2,4,5,8,1,7]=>[7,1,8,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,4,2,3,6,8,1,5]=>[5,1,8,6,3,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,7,4,8,6,2,5,1]=>[1,5,2,6,8,4,7,3]=>[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [4,8,7,1,3,6,2,5]=>[5,2,6,3,1,7,8,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [1,7,2,4,5,8,6,3]=>[3,6,8,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [1,4,6,8,7,2,5,3]=>[3,5,2,7,8,6,4,1]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,6,2,7,5,3,4,8]=>[8,4,3,5,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,3,2,8,5,6,4]=>[4,6,5,8,2,3,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,5,3,6,7,4,8,1]=>[1,8,4,7,6,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,1,5,7,3,4,2,8]=>[8,2,4,3,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>4 [7,4,1,6,3,8,2,5]=>[5,2,8,3,6,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,7,8,4,2,1,5,6]=>[6,5,1,2,4,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,4,1,3,6,2,7,8]=>[8,7,2,6,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,1,4,7,3,8]=>[8,3,7,4,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,3,7,1,4,8]=>[8,4,1,7,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,3,7,4,8,1]=>[1,8,4,7,3,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,6,2,3,7,5,4,8]=>[8,4,5,7,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,3,1,5,8,4]=>[4,8,5,1,3,2,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,3,1,4,5,8,6]=>[6,8,5,4,1,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,5,8,3,2,7,1,4]=>[4,1,7,2,3,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,2,7,6,5,3,4,8]=>[8,4,3,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,7,6,4,5,3,8]=>[8,3,5,4,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,8,7,6,4,5,3]=>[3,5,4,6,7,8,2,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [1,2,7,4,5,3,6,8]=>[8,6,3,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,7,5,3,4,8]=>[8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,8,7,4,5,3]=>[3,5,4,7,8,6,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [3,7,5,2,1,6,4,8]=>[8,4,6,1,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,5,8,4,2,7]=>[7,2,4,8,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,2,1,4,5,6,3,8]=>[8,3,6,5,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,6,7,3,4,2,8]=>[8,2,4,3,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,8,1,4,2,3,6]=>[6,3,2,4,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,6,8,5,2,1,7,3]=>[3,7,1,2,5,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,7,8,3,2,4,6,1]=>[1,6,4,2,3,8,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [3,5,4,1,8,2,6,7]=>[7,6,2,8,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,7,8,2,3,1,6,4]=>[4,6,1,3,2,8,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,7,8,2,3,5,1,4]=>[4,1,5,3,2,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,7,8,2,5,3,4,1]=>[1,4,3,5,2,8,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [6,7,8,2,5,4,1,3]=>[3,1,4,5,2,8,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>3 [4,5,2,7,8,6,1,3]=>[3,1,6,8,7,2,5,4]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [2,6,5,3,4,7,1,8]=>[8,1,7,4,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,8,7,2,6,4]=>[4,6,2,7,8,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,3,5,7,4,6,1,8]=>[8,1,6,4,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,8,5,7,3,2]=>[2,3,7,5,8,1,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>2 [6,7,3,1,2,5,8,4]=>[4,8,5,2,1,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,1,4,7,5,6,3]=>[3,6,5,7,4,1,8,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [6,5,8,2,1,4,7,3]=>[3,7,4,1,2,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,6,7,2,1,5,8,4]=>[4,8,5,1,2,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,4,3,5,1,6,2]=>[2,6,1,5,3,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [3,1,7,6,2,5,8,4]=>[4,8,5,2,6,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,6,1,3,8,7,4]=>[4,7,8,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [2,8,1,3,5,7,6,4]=>[4,6,7,5,3,1,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [3,8,5,7,2,4,6,1]=>[1,6,4,2,7,5,8,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [3,1,5,4,6,8,2,7]=>[7,2,8,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,5,4,8,1,7,6,2]=>[2,6,7,1,8,4,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [5,8,3,2,6,4,7,1]=>[1,7,4,6,2,3,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,7,1,4,5,2,8,3]=>[3,8,2,5,4,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,4,8,6,1,2,3]=>[3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>3 [6,4,1,2,5,8,3,7]=>[7,3,8,5,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,8,1,6,7,2,3]=>[3,2,7,6,1,8,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,7,2,6,3,1,8,4]=>[4,8,1,3,6,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,6,3,5,7,1,8,2]=>[2,8,1,7,5,3,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,5,6,8,1,7,2,3]=>[3,2,7,1,8,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,1,5,7,2,6,8,3]=>[3,8,6,2,7,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7,8]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>1 [6,8,4,1,5,7,3,2]=>[2,3,7,5,1,4,8,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [4,5,1,7,2,6,8,3]=>[3,8,6,2,7,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,2,3,6,4,5,8,1]=>[1,8,5,4,6,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,1,2,5,3,7,4,8]=>[8,4,7,3,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,2,5,3,8,7]=>[7,8,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,5,6,7,3,1,4,8]=>[8,4,1,3,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,5,6,1,4,3,8]=>[8,3,4,1,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,5,1,3,2,8,4]=>[4,8,2,3,1,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,8,3,6,4,1,7,5]=>[5,7,1,4,6,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [5,1,8,7,3,2,6,4]=>[4,6,2,3,7,8,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [5,4,8,7,3,6,2,1]=>[1,2,6,3,7,8,4,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,4,1,1]=>1 [3,8,5,6,2,4,7,1]=>[1,7,4,2,6,5,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [8,4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [6,3,7,4,5,2,8,1]=>[1,8,2,5,4,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,3,4,2,8,5,6,1]=>[1,6,5,8,2,4,3,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [4,3,6,5,8,2,7,1]=>[1,7,2,8,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,3,8,2,7,4,5,1]=>[1,5,4,7,2,8,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [8,3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [4,2,3,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [3,2,6,8,4,5,7,1]=>[1,7,5,4,8,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [1,7,8,4,3,6,5,2]=>[2,5,6,3,4,8,7,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [1,7,8,3,6,5,4,2]=>[2,4,5,6,3,8,7,1]=>[1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [4,6,7,8,3,1,2,5]=>[5,2,1,3,8,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,4,1,3,7,5,2,8]=>[8,2,5,7,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,6,4,3,2,8]=>[8,2,3,4,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,6,5,2,1,4,7]=>[7,4,1,2,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,4,8,7,2,5,3,6]=>[6,3,5,2,7,8,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [6,8,1,7,2,4,3,5]=>[5,3,4,2,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [2,7,6,8,4,1,3,5]=>[5,3,1,4,8,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [2,5,7,3,8,1,4,6]=>[6,4,1,8,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,4,1,3,2,8,7,5]=>[5,7,8,2,3,1,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [6,5,2,3,8,7,4,1]=>[1,4,7,8,3,2,5,6]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [7,1,4,5,2,6,3,8]=>[8,3,6,2,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,5,3,7,8,2]=>[2,8,7,3,5,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,6,8,3,4,7,1,2]=>[2,1,7,4,3,8,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [5,7,8,2,3,4,6,1]=>[1,6,4,3,2,8,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [5,7,2,8,3,4,1,6]=>[6,1,4,3,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,7,4,5,8,6,1,2]=>[2,1,6,8,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [6,4,2,7,8,1,5,3]=>[3,5,1,8,7,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,5,1,6,3,8,7,4]=>[4,7,8,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,6,2,7,5,8,1,4]=>[4,1,8,5,7,2,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,6,4,7,1,8,2,5]=>[5,2,8,1,7,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,6,3,7,1,8,4,5]=>[5,4,8,1,7,3,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,6,4,7,1,8,5,3]=>[3,5,8,1,7,4,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,5,1,7,6,8,4,3]=>[3,4,8,6,7,1,5,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,6,4,7,3,8,1,5]=>[5,1,8,3,7,4,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,6,5,7,3,8,2,4]=>[4,2,8,3,7,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,8,2,4,5,6,3,7]=>[7,3,6,5,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,5,3,7,6,2,4]=>[4,2,6,7,3,5,8,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [1,8,3,7,4,2,6,5]=>[5,6,2,4,7,3,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [6,5,1,3,7,4,2,8]=>[8,2,4,7,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,8,2,4,3,5,6]=>[6,5,3,4,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,6,1,8,3,4,2,5]=>[5,2,4,3,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,4,2,3,8,7,5,1]=>[1,5,7,8,3,2,4,6]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [6,4,2,3,7,5,1,8]=>[8,1,5,7,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,2,7,6,4,8]=>[8,4,6,7,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,2,8,7,6,4]=>[4,6,7,8,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [5,1,3,2,8,6,4,7]=>[7,4,6,8,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,1,3,8,4,2,7]=>[7,2,4,8,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,1,4,2,7,8,3,5]=>[5,3,8,7,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,5,1,3,7,8,4,2]=>[2,4,8,7,3,1,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,1,3,2,7,8,6,4]=>[4,6,8,7,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [4,1,3,2,6,5,7,8]=>[8,7,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,3,2,7,8,6,5]=>[5,6,8,7,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [5,6,8,2,4,7,1,3]=>[3,1,7,4,2,8,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,6,7,1,4,8,2,3]=>[3,2,8,4,1,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,1,3,2,7,6,5,8]=>[8,5,6,7,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,3,2,7,5,6,8]=>[8,6,5,7,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,2,3,8,5,1]=>[1,5,8,3,2,4,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,6,1,4,7,3,2,8]=>[8,2,3,7,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,6,1,4,7,3,2]=>[2,3,7,4,1,6,8,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>2 [5,8,7,3,2,4,6,1]=>[1,6,4,2,3,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [4,1,3,2,6,7,5,8]=>[8,5,7,6,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,3,2,5,8,7,6]=>[6,7,8,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,1,3,2,5,8,6,7]=>[7,6,8,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,3,2,6,8,4,7]=>[7,4,8,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,7,1,4,6,8,2,3]=>[3,2,8,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,1,3,2,5,6,8,7]=>[7,8,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,4,8,3,7,5,2]=>[2,5,7,3,8,4,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [7,8,2,3,6,4,1,5]=>[5,1,4,6,3,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [6,7,4,3,2,8,1,5]=>[5,1,8,2,3,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,5,8,6,4,3,1,7]=>[7,1,3,4,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,4,1,7,5,6,3,8]=>[8,3,6,5,7,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,3,2,7,8,4]=>[4,8,7,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,3,5,2,8,7,6]=>[6,7,8,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [4,5,8,6,3,7,1,2]=>[2,1,7,3,6,8,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,2,7,4,1,8,3,5]=>[5,3,8,1,4,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,4,7,8,5,1,6,3]=>[3,6,1,5,8,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [1,4,2,7,6,3,8,5]=>[5,8,3,6,7,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,7,8,2,6,3,5]=>[5,3,6,2,8,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [1,2,7,6,8,5,3,4]=>[4,3,5,8,6,7,2,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,5,7,3,6,4,2,8]=>[8,2,4,6,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,2,4,8,3,5]=>[5,3,8,4,2,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,3,6,2,8,1,7]=>[7,1,8,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,6,3,5,8,1,4,7]=>[7,4,1,8,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,2,6,4,1,8,3,5]=>[5,3,8,1,4,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,6,1,5,8,2,7,4]=>[4,7,2,8,5,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,3,4,7,8,6,2,1]=>[1,2,6,8,7,4,3,5]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [2,3,8,4,5,6,1,7]=>[7,1,6,5,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,3,8,4,5,7,1,6]=>[6,1,7,5,4,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,5,7,2,8,6,1]=>[1,6,8,2,7,5,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,3,8,4,7,1,5,6]=>[6,5,1,7,4,8,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,4,1,7,6,5,8,2]=>[2,8,5,6,7,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,7,5,1,6,8,2]=>[2,8,6,1,5,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,3,8,2,4,5,7]=>[7,5,4,2,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,2,6,8,4,3,5,7]=>[7,5,3,4,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,2,4,6,5,8,3,1]=>[1,3,8,5,6,4,2,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,2,3,5,8,4,7,1]=>[1,7,4,8,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [3,4,2,1,6,8,5,7]=>[7,5,8,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [3,4,7,1,5,6,2,8]=>[8,2,6,5,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,2,6,5,3,7,1]=>[1,7,3,5,6,2,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,8,7,2,5,6,1,3]=>[3,1,6,5,2,7,8,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [5,8,6,4,7,3,2,1]=>[1,2,3,7,4,6,8,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,4,1]=>1 [3,8,6,2,5,4,7,1]=>[1,7,4,5,2,6,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,8,4,3,2,1,7,5]=>[5,7,1,2,3,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,4,8,5,3,2,7,1]=>[1,7,2,3,5,8,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,7,8,5,3,2,6,1]=>[1,6,2,3,5,8,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [8,9,7,10,4,5,3,6,1,2]=>[2,1,6,3,5,4,10,7,9,8]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,4]=>2 [8,9,6,7,4,5,3,10,1,2]=>[2,1,10,3,5,4,7,6,9,8]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,8]=>2 [9,10,7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7,10,9]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,2,2,2]=>4 [8,9,7,10,5,6,2,3,1,4]=>[4,1,3,2,6,5,10,7,9,8]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,2,4]=>4 [9,10,6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6,10,9]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,4,2]=>4 [8,9,6,7,5,10,2,3,1,4]=>[4,1,3,2,10,5,7,6,9,8]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,6]=>4 [8,9,7,10,4,5,2,3,1,6]=>[6,1,3,2,5,4,10,7,9,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,4]=>6 [9,10,6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,2]=>8 [8,9,6,7,4,5,2,3,1,10]=>[10,1,3,2,5,4,7,6,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,8,5,6,2,7,1,3]=>[3,1,7,2,6,5,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,5,6,3,2,8,4,1]=>[1,4,8,2,3,6,5,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,7,6,3,8,4,2,1]=>[1,2,4,8,3,6,7,5]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [8,5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,4,8,1,2,6,5,7]=>[7,5,6,2,1,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,4,7,8,1,3,6]=>[6,3,1,8,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,6,8,7,1,4,3]=>[3,4,1,7,8,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [4,6,8,1,5,2,7,3]=>[3,7,2,5,1,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,3,1,4,5,8,7,2]=>[2,7,8,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [6,1,2,5,3,8,7,4]=>[4,7,8,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [6,1,3,4,8,7,2,5]=>[5,2,7,8,4,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,8,7,1,5,2,4,3]=>[3,4,2,5,1,7,8,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>3 [5,3,8,1,2,6,7,4]=>[4,7,6,2,1,8,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,8,5,3,7,6,4,1]=>[1,4,6,7,3,5,8,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,1,1]=>1 [1,6,4,2,7,8,5,3]=>[3,5,8,7,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [5,1,2,4,6,7,3,8]=>[8,3,7,6,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,6,7,2,4,8]=>[8,4,2,7,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,7,5,8,6,2]=>[2,6,8,5,7,4,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [8,3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3,8]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [8,2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,3,7,5,8,6,1,4]=>[4,1,6,8,5,7,3,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,8,5,1,2,4,7,6]=>[6,7,4,2,1,5,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [3,4,7,5,2,8,6,1]=>[1,6,8,2,5,7,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [1,3,6,4,8,2,7,5]=>[5,7,2,8,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,6,2,7,8,3,5,4]=>[4,5,3,8,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,2,3,4,6,5,7,8,9,10]=>[10,9,8,7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,4,7,3,5,8,2,1]=>[1,2,8,5,3,7,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,3,8,1,6,2,5,4]=>[4,5,2,6,1,8,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [2,5,3,7,4,1,6,8]=>[8,6,1,4,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,7,3,4,1,5,8]=>[8,5,1,4,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,7,4,2,6,8]=>[8,6,2,4,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,3,4,1,5,8]=>[8,5,1,4,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,8,1,4,6,7]=>[7,6,4,1,8,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,3,8,1,4,6,7]=>[7,6,4,1,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,3,1,8,4,6,7]=>[7,6,4,8,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [6,2,5,3,7,4,8,1]=>[1,8,4,7,3,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,4,6,5,8,2,3,1]=>[1,3,2,8,5,6,4,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [7,3,6,5,8,2,4,1]=>[1,4,2,8,5,6,3,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [7,3,6,4,8,2,5,1]=>[1,5,2,8,4,6,3,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,3,5,4,8,2,6,1]=>[1,6,2,8,4,5,3,7]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [6,4,5,1,8,2,3,7]=>[7,3,2,8,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,2,7,4,8,5,6,3]=>[3,6,5,8,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,2,5,6,3,8,4,1]=>[1,4,8,3,6,5,2,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [4,7,8,5,1,3,6,2]=>[2,6,3,1,5,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [1,4,8,2,5,3,6,7]=>[7,6,3,5,2,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,5,3,6,2,8,4,7]=>[7,4,8,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,1,3,7,2,8,5]=>[5,8,2,7,3,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,3,4,8,5,1,7]=>[7,1,5,8,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,6,3,4,8,5,2,1]=>[1,2,5,8,4,3,6,7]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [7,4,8,2,5,3,6,1]=>[1,6,3,5,2,8,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [3,2,7,5,8,4,6,1]=>[1,6,4,8,5,7,2,3]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [2,5,8,6,4,3,7,1]=>[1,7,3,4,6,8,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [6,4,2,5,7,1,8,3]=>[3,8,1,7,5,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [9,1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1,9]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1,1]=>6 [8,1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [10,1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>7 [8,1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1,8]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>2 [6,8,4,5,3,7,2,1]=>[1,2,7,3,5,4,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [7,5,4,6,2,8,3,1]=>[1,3,8,2,6,4,5,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,8,4,5,3,2,7,1]=>[1,7,2,3,5,4,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,7,5,4,2,8,3,1]=>[1,3,8,2,4,5,7,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,7,6,4,8,2,3,1]=>[1,3,2,8,4,6,7,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>1 [5,6,3,4,2,8,7,1]=>[1,7,8,2,4,3,6,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [7,5,8,2,3,6,4,1]=>[1,4,6,3,2,8,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [6,3,5,4,7,8,1,2]=>[2,1,8,7,4,5,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [2,5,7,4,6,8,1,3]=>[3,1,8,6,4,7,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,7,8,1,5,3,6,4]=>[4,6,3,5,1,8,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [6,5,7,1,2,4,3,8]=>[8,3,4,2,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,4,1,3,8,7]=>[7,8,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,1,3,5,7,2,8]=>[8,2,7,5,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,5,8,1,6,4]=>[4,6,1,8,5,7,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [4,3,6,8,5,2,1,7]=>[7,1,2,5,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,3,2,1,8,6,7]=>[7,6,8,1,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,5,8,1,7,4,2]=>[2,4,7,1,8,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,1,6,8,5,2,3,7]=>[7,3,2,5,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,5,2,8,6,7,1,3]=>[3,1,7,6,8,2,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,5,2,8,6,7,3,1]=>[1,3,7,6,8,2,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [3,5,8,6,2,4,7,1]=>[1,7,4,2,6,8,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,2,4,5,8,6,1,7]=>[7,1,6,8,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,2,1,3,8,6,7]=>[7,6,8,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,3,6,8,5,1,7]=>[7,1,5,8,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,1,3,2,8,6,7]=>[7,6,8,2,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,4,5,8,6,1,7,2]=>[2,7,1,6,8,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [3,4,5,8,6,1,2,7]=>[7,2,1,6,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,8,5,2,4,7,1,3]=>[3,1,7,4,2,5,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [4,3,7,8,1,5,6,2]=>[2,6,5,1,8,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [8,2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,2,6,3,1,4,8,7]=>[7,8,4,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,6,4,1,5,8,7]=>[7,8,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,7,3,1,5,8,6]=>[6,8,5,1,3,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,2,7,3,1,4,8,5]=>[5,8,4,1,3,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,4,8,5,7,2,3,6]=>[6,3,2,7,5,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,8,7,3,2,4,5,6]=>[6,5,4,2,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [8,6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6,8]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>5 [5,6,3,2,8,7,1,4]=>[4,1,7,8,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [1,5,6,7,4,2,3,8]=>[8,3,2,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,6,7,3,4,2,8]=>[8,2,4,3,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [4,6,7,5,1,8,2,3]=>[3,2,8,1,5,7,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,5,2,6,8,7,4,1]=>[1,4,7,8,6,2,5,3]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [7,3,6,8,4,1,2,5]=>[5,2,1,4,8,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [6,4,2,3,7,5,8,1]=>[1,8,5,7,3,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,3,7,5,1,2,8,4]=>[4,8,2,1,5,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,1,2,8,4,6,5,3]=>[3,5,6,4,8,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [3,5,8,1,2,7,6,4]=>[4,6,7,2,1,8,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [7,6,2,8,5,3,4,1]=>[1,4,3,5,8,2,6,7]=>[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [6,8,3,5,4,7,2,1]=>[1,2,7,4,5,3,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [8,3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [4,8,2,5,6,3,7,1]=>[1,7,3,6,5,2,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [8,1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1,8]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [4,7,1,5,6,3,2,8]=>[8,2,3,6,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,1,6,3,8,2]=>[2,8,3,6,1,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,7,1,4,8,3,6,5]=>[5,6,3,8,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [2,7,1,5,6,8,4,3]=>[3,4,8,6,5,1,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,3,1,8,7,4,6,5]=>[5,6,4,7,8,1,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,6,8,2,1,5,3,7]=>[7,3,5,1,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,8,4,7,2,3,1]=>[1,3,2,7,4,8,6,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,1]=>1 [4,5,7,3,6,1,2,8]=>[8,2,1,6,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,8,2,6,1,7,3]=>[3,7,1,6,2,8,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,4,5,7,2,1,6,8]=>[8,6,1,2,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,8,3,2,7,1]=>[1,7,2,3,8,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,5,7,2,6,1,8,3]=>[3,8,1,6,2,7,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,5,7,2,3,8,1]=>[1,8,3,2,7,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,6,7,4,8,1,2]=>[2,1,8,4,7,6,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [4,2,7,8,3,6,5,1]=>[1,5,6,3,8,7,2,4]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [4,2,7,8,5,6,1,3]=>[3,1,6,5,8,7,2,4]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,5,7,8,4,2,1,6]=>[6,1,2,4,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,6,2,4,7,8,3,1]=>[1,3,8,7,4,2,6,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,2,4,8,6,7,3,1]=>[1,3,7,6,8,4,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [5,2,6,4,8,7,3,1]=>[1,3,7,8,4,6,2,5]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [4,5,6,7,8,9,1,3,2]=>[2,3,1,9,8,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,6]=>2 [3,4,2,5,8,1,7,6]=>[6,7,1,8,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,6,7,8,1,4,3]=>[3,4,1,8,7,6,2,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,6,4,7,1,5,8,2]=>[2,8,5,1,7,4,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,8,1,6,5,2,3,7]=>[7,3,2,5,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,7,6,2,3,1,8]=>[8,1,3,2,6,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,2,7,5,3,1,6]=>[6,1,3,5,7,2,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [2,4,7,6,5,1,8,3]=>[3,8,1,5,6,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,2,3,1,7,8,6]=>[6,8,7,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,3,1,5,2,6,7,8]=>[8,7,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,8,1,7,4,2,6]=>[6,2,4,7,1,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,7,1,2,4,8,3,6]=>[6,3,8,4,2,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,7,8,1,2,3,6,4]=>[4,6,3,2,1,8,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,5,1,4,3,8,2,6]=>[6,2,8,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,8,3,5,2,4,1]=>[1,4,2,5,3,8,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>1 [4,7,8,3,6,1,2,5]=>[5,2,1,6,3,8,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,7,3,2,6,5,8,1]=>[1,8,5,6,2,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,8,6,1,7,2,3,4]=>[4,3,2,7,1,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [6,1,4,8,2,5,7,3]=>[3,7,5,2,8,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [5,8,2,6,3,4,7,1]=>[1,7,4,3,6,2,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [8,2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [4,2,8,7,3,6,5,1]=>[1,5,6,3,7,8,2,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>1 [5,8,4,6,3,2,1,7]=>[7,1,2,3,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,3,5,6,8,7,1,4]=>[4,1,7,8,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,7,5,6,2,8,1,3]=>[3,1,8,2,6,5,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,3,5,8,4,7,1,6]=>[6,1,7,4,8,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [2,8,4,6,7,3,5,1]=>[1,5,3,7,6,4,8,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>1 [8,5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5,8]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4,8]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,3,2,1]=>1 [7,8,4,6,3,5,2,1]=>[1,2,5,3,6,4,8,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,3,1,2]=>1 [5,8,4,6,7,3,2,1]=>[1,2,3,7,6,4,8,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,4,1]=>1 [6,8,4,7,3,5,2,1]=>[1,2,5,3,7,4,8,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,3,2,1]=>1 [7,4,5,8,3,6,2,1]=>[1,2,6,3,8,5,4,7]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [8,4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4,8]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,4,1,1]=>1 [4,5,8,7,3,2,6,1]=>[1,6,2,3,7,8,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [3,6,4,2,8,1,7,5]=>[5,7,1,8,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,1,6,5,3,4,7,8]=>[8,7,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,3,5,8,4,2]=>[2,4,8,5,3,7,1,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,7,1,3,6,8,4,2]=>[2,4,8,6,3,1,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,7,2,3,5,4,1,8]=>[8,1,4,5,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,7,3,6,4,1,2]=>[2,1,4,6,3,7,8,5]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [2,5,7,3,6,4,1,8]=>[8,1,4,6,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,1,7,8,6,4,3]=>[3,4,6,8,7,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [4,5,1,7,6,8,3,2]=>[2,3,8,6,7,1,5,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [8,3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3,8]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [8,2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2,8]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>3 [6,8,7,4,2,3,1,5]=>[5,1,3,2,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>5 [3,1,8,7,4,2,5,6]=>[6,5,2,4,7,8,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,3,1,2,7,5,8,6]=>[6,8,5,7,2,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,3,1,2,5,8,6]=>[6,8,5,2,1,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,8,1,3,6,7,5,2]=>[2,5,7,6,3,1,8,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>2 [5,6,7,1,3,4,8,2]=>[2,8,4,3,1,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,5,1,2,7,3,4,8]=>[8,4,3,7,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,2,1,3,5,6,8]=>[8,6,5,3,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,6,5,2,3,8]=>[8,3,2,5,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [1,7,6,5,4,3,2,8,9]=>[9,8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,8,5,3,2,7,1,6]=>[6,1,7,2,3,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,6,8,7,2,4,3,1]=>[1,3,4,2,7,8,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,1,3,1]=>1 [5,7,8,6,4,2,3,1]=>[1,3,2,4,6,8,7,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,1,2,2]=>1 [6,8,7,5,1,3,2,4]=>[4,2,3,1,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [4,7,6,3,8,2,5,1]=>[1,5,2,8,3,6,7,4]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,6,4,2,8,1,5,3]=>[3,5,1,8,2,4,6,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,4,3,8,6,1,2,5]=>[5,2,1,6,8,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,6,5,7,8,1,3,4]=>[4,3,1,8,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,3,1,5,7,8,2,4]=>[4,2,8,7,5,1,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,3,1,5,6,8,2,4]=>[4,2,8,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,4,7,8,6,1,2,5]=>[5,2,1,6,8,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,1,5,7,6,8,3,4]=>[4,3,8,6,7,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,4,5,8,1,6,3,7]=>[7,3,6,1,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,4,6,8,2,5,7,1]=>[1,7,5,2,8,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,6,8,3,7,5,4,1]=>[1,4,5,7,3,8,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,3,1,2,1]=>1 [1,8,7,6,2,4,5,3]=>[3,5,4,2,6,7,8,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [6,4,8,5,7,3,1,2]=>[2,1,3,7,5,8,4,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>2 [2,7,5,1,8,6,3,4]=>[4,3,6,8,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [8,5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,1,5,6,3,7,8,2]=>[2,8,7,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,6,1,7,4,8,3,2]=>[2,3,8,4,7,1,6,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,7,5,6,4,8,2,3]=>[3,2,8,4,6,5,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,4,8,3,5,1,6,7]=>[7,6,1,5,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,4,8,5,7,3,1,6]=>[6,1,3,7,5,8,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,3,6,7,1,2,8,5]=>[5,8,2,1,7,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,5,8,6,3,7,1,4]=>[4,1,7,3,6,8,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,5,7,3,4,6,1,8]=>[8,1,6,4,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,8,1,3,6,7]=>[7,6,3,1,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,2,5,3,1,6,8,4]=>[4,8,6,1,3,5,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>4 [6,3,1,7,2,8,4,5]=>[5,4,8,2,7,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,5,4,7,8,1,6]=>[6,1,8,7,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,2,6,4,5,8,1,3]=>[3,1,8,5,4,6,2,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,1,4,7,6,8,3,5]=>[5,3,8,6,7,4,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,1,2,7,6,8,3,5]=>[5,3,8,6,7,2,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,2,1,5,8,7,4,3]=>[3,4,7,8,5,1,2,6]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [7,2,6,5,4,8,1,3]=>[3,1,8,4,5,6,2,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [5,3,4,6,1,8,2,7]=>[7,2,8,1,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,7,8,5,1,2,6,3]=>[3,6,2,1,5,8,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [2,7,1,5,3,8,6,4]=>[4,6,8,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,4,6,5,2,3,1,8]=>[8,1,3,2,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,2,8,4,1,6]=>[6,1,4,8,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,3,2,1,4,8,6,5]=>[5,6,8,4,1,2,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [4,2,7,3,5,1,8,6]=>[6,8,1,5,3,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,2,6,1,8,4,5,3]=>[3,5,4,8,1,6,2,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,6,7,1,4,5,8,3]=>[3,8,5,4,1,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,1,6,8,3,4,2]=>[2,4,3,8,6,1,7,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [8,7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7,8]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7,8]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [2,8,1,5,7,6,4,3]=>[3,4,6,7,5,1,8,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,1,2,1,1]=>3 [8,7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7,8]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [7,1,3,8,2,6,4,5]=>[5,4,6,2,8,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [2,5,8,3,6,7,1,4]=>[4,1,7,6,3,8,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,4,7,6,1,3,8,5]=>[5,8,3,1,6,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,1,6,2,5,8,4]=>[4,8,5,2,6,1,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,8,1,6,7,3,4]=>[4,3,7,6,1,8,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,1,7,2,5,6,3,8]=>[8,3,6,5,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,6,5,3,4,8]=>[8,4,3,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,8,5,4,1,7,2]=>[2,7,1,4,5,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,2,8,3,4,5,1,7]=>[7,1,5,4,3,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,6,2,4,3,1,7]=>[7,1,3,4,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,2,6,4,5,1,7]=>[7,1,5,4,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,3,4,6,5,1,7]=>[7,1,5,6,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,6,8,7,4,1,5,2]=>[2,5,1,4,7,8,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [7,1,5,8,2,4,3,6]=>[6,3,4,2,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,7,5,6,2,4,3,8]=>[8,3,4,2,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,5,1,6,8,2]=>[2,8,6,1,5,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,1,8,2,5,7,4]=>[4,7,5,2,8,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [7,2,1,8,5,3,6,4]=>[4,6,3,5,8,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [7,2,4,1,3,5,8,6]=>[6,8,5,3,1,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,3,7,2,8,4,6]=>[6,4,8,2,7,3,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,6,4,1,2,5,8,7]=>[7,8,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,3,1,4,2,5,8,7]=>[7,8,5,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,2,3,1,4,6,8,7]=>[7,8,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,7,1,3,5,8,6]=>[6,8,5,3,1,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,7,2,8,3,1,6]=>[6,1,3,8,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,5,1,7,6,2,8,4]=>[4,8,2,6,7,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,6,7,3,1,8,2,5]=>[5,2,8,1,3,7,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3,8]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,3,1,2,1]=>1 [8,4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [5,4,2,7,1,8,6,3]=>[3,6,8,1,7,2,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,1,7,6,5,3,2,8]=>[8,2,3,5,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,7,1,8,5,4]=>[4,5,8,1,7,6,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,6,1,2,7,8,5,4]=>[4,5,8,7,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [4,5,1,8,7,6,3,2]=>[2,3,6,7,8,1,5,4]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,3,1,1]=>2 [8,4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4,8]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,2,3,1,1]=>1 [4,1,3,6,7,5,2,8]=>[8,2,5,7,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,4,5,7,6,2,8]=>[8,2,6,7,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,3,6,8,7,2]=>[2,7,8,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [3,8,5,1,2,4,6,7]=>[7,6,4,2,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,5,8,1,4,2,7,6]=>[6,7,2,4,1,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [8,1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,6,1,4,2,3,8,5]=>[5,8,3,2,4,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,8,1,2,5,3,4,6]=>[6,4,3,5,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [1,8,4,7,5,2,3,6]=>[6,3,2,5,7,4,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [8,4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4,8]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [7,4,2,5,3,6,1,8]=>[8,1,6,3,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,7,8,2,5,6,1,3]=>[3,1,6,5,2,8,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [9,8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,1,1]=>6 [3,2,4,7,1,6,5,8]=>[8,5,6,1,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,5,6,8,3,4,2]=>[2,4,3,8,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,8,6,5,7,4,2,3]=>[3,2,4,7,5,6,8,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [6,8,5,3,7,4,1,2]=>[2,1,4,7,3,5,8,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [8,5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,3,2,4,1,5,8,6]=>[6,8,5,1,4,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7,8]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [6,5,2,4,1,7,8,3]=>[3,8,7,1,4,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,8,2,1,3,6,7]=>[7,6,3,1,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,4,8,3,2,6,5,7]=>[7,5,6,2,3,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,2,8,3,1,4,5,6]=>[6,5,4,1,3,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,3,4,5,6,1,9,8,7]=>[7,8,9,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1]=>7 [2,3,4,5,1,9,8,7,6]=>[6,7,8,9,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1]=>6 [4,6,1,7,2,5,3,8]=>[8,3,5,2,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,7,2,5,8,3]=>[3,8,5,2,7,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,7,8,6,5,4,2]=>[2,4,5,6,8,7,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,1,2]=>2 [7,4,3,1,5,8,2,6]=>[6,2,8,5,1,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,8,4,2,1,6,3,7]=>[7,3,6,1,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6,8]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>3 [6,7,4,1,2,8,5,3]=>[3,5,8,2,1,4,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [4,6,7,8,2,5,1,3]=>[3,1,5,2,8,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [7,6,4,1,2,5,3,8]=>[8,3,5,2,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,8,1,6,3,7]=>[7,3,6,1,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,6,3,8,2,5,4,1]=>[1,4,5,2,8,3,6,7]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [8,7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7,8]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [2,6,1,7,4,5,3,8]=>[8,3,5,4,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,8,6,4,5,2,1]=>[1,2,5,4,6,8,7,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,3,1,2]=>1 [7,2,8,4,3,6,1,5]=>[5,1,6,3,4,8,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,8,6,4,5,1,3]=>[3,1,5,4,6,8,7,2]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [5,8,3,4,7,6,1,2]=>[2,1,6,7,4,3,8,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [1,4,2,8,5,6,7,3]=>[3,7,6,5,8,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,4,5,1,8,6,7,3]=>[3,7,6,8,1,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,7,3,2,8,5,4,1]=>[1,4,5,8,2,3,7,6]=>[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>1 [6,8,7,3,2,5,4,1]=>[1,4,5,2,3,7,8,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>1 [7,3,8,6,4,2,5,1]=>[1,5,2,4,6,8,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [6,4,2,8,5,7,3,1]=>[1,3,7,5,8,2,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [5,6,2,1,7,3,4,8]=>[8,4,3,7,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,8,6,1,2,7]=>[7,2,1,6,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,4,2,8,6,7,1,3]=>[3,1,7,6,8,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,8,6,3,2,7,1,5]=>[5,1,7,2,3,6,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,8,5,3,6,1,2,7]=>[7,2,1,6,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,8,6,3,5,2,1,7]=>[7,1,2,5,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,6,3,2,7,1,4]=>[4,1,7,2,3,6,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,7,6,3,2,4,8,1]=>[1,8,4,2,3,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,3,2,8,6,4,1]=>[1,4,6,8,2,3,7,5]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [5,4,3,7,1,8,6,2]=>[2,6,8,1,7,3,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,6,5,8,2,7,1,3]=>[3,1,7,2,8,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,5,1,8,3,7,6,2]=>[2,6,7,3,8,1,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>2 [5,3,1,6,8,4,2,7]=>[7,2,4,8,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,1,6,8,2,7,3]=>[3,7,2,8,6,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,5,1,7,8,3,2,6]=>[6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,2,1,3,8,4,7,5]=>[5,7,4,8,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,6,3,7,2,4,8,5]=>[5,8,4,2,7,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,5,8,4,6,1,2,7]=>[7,2,1,6,4,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,8,1,5,6,2,7]=>[7,2,6,5,1,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>2 [8,6,7,5,4,3,2,1,9]=>[9,1,2,3,4,5,7,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,9,6,5,4,3,1,2]=>[2,1,3,4,5,6,9,7,8]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,1,3]=>2 [9,7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7,9]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,1,2,1]=>2 [2,5,4,7,1,3,6,8]=>[8,6,3,1,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,5,7,2,4,8]=>[8,4,2,7,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,1,6,2,5,8]=>[8,5,2,6,1,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,6,7,2,5,8]=>[8,5,2,7,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,7,6,1,3,5,8]=>[8,5,3,1,6,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,4,1,3,7,8]=>[8,7,3,1,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,6,5,1,4,7,8]=>[8,7,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,6,2,1,5,7,8]=>[8,7,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,9,6,5,4,2,3,1]=>[1,3,2,4,5,6,9,7,8]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,1,3]=>1 [6,1,5,8,4,2,3,7]=>[7,3,2,4,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,1,3,7,4,6,8]=>[8,6,4,7,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,4,2,1,3,7,6,8]=>[8,6,7,3,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,7,4,2,6,8]=>[8,6,2,4,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,7,4,1,5,8,3]=>[3,8,5,1,4,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,1,5,4,8,6,3,7]=>[7,3,6,8,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,8,4,3,6,1,7]=>[7,1,6,3,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,2,8,4,1,6,5,7]=>[7,5,6,1,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,7,6,4,8,1,5,2]=>[2,5,1,8,4,6,7,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,1,2,8,3,5,7,6]=>[6,7,5,3,8,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,1,2,4,8,6,3,5]=>[5,3,6,8,4,2,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,1,8,5,4,6,2,3]=>[3,2,6,4,5,8,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [6,3,5,4,1,2,7,8]=>[8,7,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,1,4,8,2,5,7]=>[7,5,2,8,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,7,6,4,5,1,8,3]=>[3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,3,4,6,2,5,1,8]=>[8,1,5,2,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,2,7,4,1,3,5]=>[5,3,1,4,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [8,1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1,8]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [6,8,3,7,1,4,5,2]=>[2,5,4,1,7,3,8,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [3,6,8,1,5,7,4,2]=>[2,4,7,5,1,8,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>2 [8,1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1,8]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [4,5,6,8,2,1,7,3]=>[3,7,1,2,8,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [4,7,1,3,5,6,2,8]=>[8,2,6,5,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,3,2,1,6,7,5]=>[5,7,6,1,2,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [5,2,8,1,4,6,7,3]=>[3,7,6,4,1,8,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,6,3,7,8,1,4,2]=>[2,4,1,8,7,3,6,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [5,7,1,4,3,6,2,8]=>[8,2,6,3,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,4,5,2,7,8]=>[8,7,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,3,4,5,6,2,8]=>[8,2,6,5,4,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,5,1,3,6,4,8]=>[8,4,6,3,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,8,5,7,2,4,3]=>[3,4,2,7,5,8,6,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [6,5,2,7,8,4,3,1]=>[1,3,4,8,7,2,5,6]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [7,5,3,6,4,2,1,8]=>[8,1,2,4,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,4,6,2,5,3,1]=>[1,3,5,2,6,4,8,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,2,2,1,2]=>1 [1,6,8,7,5,4,2,3]=>[3,2,4,5,7,8,6,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>3 [1,3,6,7,5,2,4,8]=>[8,4,2,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,2,6,8,7,3,4]=>[4,3,7,8,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [6,8,4,1,3,2,7,5]=>[5,7,2,3,1,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,1,5,2,4,3,7,8]=>[8,7,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,3,2,9,1,7,8]=>[8,7,1,9,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [5,3,4,7,2,1,6,8]=>[8,6,1,2,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,9,5,4,3,2,1,8]=>[8,1,2,3,4,5,9,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [6,2,5,8,1,3,7,4]=>[4,7,3,1,8,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,7,5,1,4,6,8,3]=>[3,8,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,2,6,3,1,5,7,8]=>[8,7,5,1,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,2,3,1,4,7,6]=>[6,7,4,1,3,2,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,1,6,4,3,2,5,8]=>[8,5,2,3,4,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,6,4,3,2,8,5]=>[5,8,2,3,4,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,5,7,4,8,6,2,3]=>[3,2,6,8,4,7,5,1]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [6,1,5,7,3,8,2,4]=>[4,2,8,3,7,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,5,4,7,8,2,3]=>[3,2,8,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,6,2,3,1,8,5,4]=>[4,5,8,1,3,2,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,5,1,7,8,6,2,4]=>[4,2,6,8,7,1,5,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,1,8,6,7,4,2,5]=>[5,2,4,7,6,8,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [8,5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5,8]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>3 [2,1,3,4,5,7,8,9,10,6]=>[6,10,9,8,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,4]=>6 [1,3,2,5,4,7,6,9,10,8]=>[8,10,9,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [5,7,1,3,4,8,6,2]=>[2,6,8,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [8,5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [5,1,3,4,8,7,6,2]=>[2,6,7,8,4,3,1,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [9,1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1,9]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1,1]=>5 [5,4,3,8,1,7,2,6]=>[6,2,7,1,8,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,2,4,6,5,1,8,3]=>[3,8,1,5,6,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,8,7,2,3,1,6,5]=>[5,6,1,3,2,7,8,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [1,6,8,5,3,7,2,4]=>[4,2,7,3,5,8,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,6,2,8,3,1,4,7]=>[7,4,1,3,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,4,5,7,8,3,1,6]=>[6,1,3,8,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,5,4,7,1,8,2,6]=>[6,2,8,1,7,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,6,5,8,1,2,7]=>[7,2,1,8,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,4,6,7,5,1,2,8]=>[8,2,1,5,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,7,3,4,1,8]=>[8,1,4,3,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,5,7,1,8,2,6]=>[6,2,8,1,7,5,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,3,2,5,8,7,1,6]=>[6,1,7,8,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,2,6,4,1,8,3,7]=>[7,3,8,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,2,6,4,7,1,3,8]=>[8,3,1,7,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,7,1,8,6,5]=>[5,6,8,1,7,2,3,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>5 [2,5,6,7,3,1,8,4]=>[4,8,1,3,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,7,8,6,2,1,3,4]=>[4,3,1,2,6,8,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>4 [6,2,1,3,7,8,5,4]=>[4,5,8,7,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,3,2,4,7,8,5,1]=>[1,5,8,7,4,2,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,2,3,1,5,7,4,8]=>[8,4,7,5,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,3,7,2,6,8]=>[8,6,2,7,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,8,7,2,6,4]=>[4,6,2,7,8,3,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [1,4,2,5,8,6,3,7]=>[7,3,6,8,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,8,2,1,5,7,3,6]=>[6,3,7,5,1,2,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,2,7,1,6,3,4,8]=>[8,4,3,6,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,1,2,4,6,3,7]=>[7,3,6,4,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,1,7,3,6,4,2,8]=>[8,2,4,6,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,8,7,3,4,5,1]=>[1,5,4,3,7,8,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>1 [7,3,6,8,4,5,2,1]=>[1,2,5,4,8,6,3,7]=>[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>1 [6,2,5,7,8,4,3,1]=>[1,3,4,8,7,5,2,6]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [5,6,3,2,4,8,7,1]=>[1,7,8,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [5,6,2,8,3,1,7,4]=>[4,7,1,3,8,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [5,6,2,4,3,1,7,8]=>[8,7,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,5,4,6,8,3]=>[3,8,6,4,5,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,7,6,2,4,3,8,1]=>[1,8,3,4,2,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,1,7,5,8,3,2,4]=>[4,2,3,8,5,7,1,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [6,1,3,4,8,5,2,7]=>[7,2,5,8,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,7,3,2,4,6,8,1]=>[1,8,6,4,2,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,1,2,6,5,4,8,3]=>[3,8,4,5,6,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,1,2,5,8,7,3]=>[3,7,8,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [3,7,2,8,5,1,6,4]=>[4,6,1,5,8,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [3,6,5,7,1,2,8,4]=>[4,8,2,1,7,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,5,8,2,7,3,4]=>[4,3,7,2,8,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,7,4,8,3,5,6,2]=>[2,6,5,3,8,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [4,6,2,3,8,1,7,5]=>[5,7,1,8,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,2,8,4,7,3,1,5]=>[5,1,3,7,4,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [6,4,7,5,1,8,3,2]=>[2,3,8,1,5,7,4,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,3,1,4,8,6,2,7]=>[7,2,6,8,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,4,8,3,1,6,7]=>[7,6,1,3,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [7,4,5,1,8,6,2,3]=>[3,2,6,8,1,5,4,7]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,8,4,7,6,2,1,5]=>[5,1,2,6,7,4,8,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [8,5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [8,1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1,8]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [5,2,8,6,1,7,4,3]=>[3,4,7,1,6,8,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [8,5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [7,3,2,6,1,8,4,5]=>[5,4,8,1,6,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,2,7,1,3,8,4,5]=>[5,4,8,3,1,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,4,8,3,1,6,5,2]=>[2,5,6,1,3,8,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,1,2]=>2 [5,8,4,2,7,6,3,1]=>[1,3,6,7,2,4,8,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,3,1,1]=>1 [7,9,8,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,8,7,6,4,3,2,1,9]=>[9,1,2,3,4,6,7,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,8,9,7,6,4,3,2,1]=>[1,2,3,4,6,7,9,8,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,1,2,1,2]=>1 [7,9,10,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,10,9,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,1,2,2]=>1 [5,4,8,2,3,7,1,6]=>[6,1,7,3,2,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,6,1,5,8,3,7,4]=>[4,7,3,8,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,2,5,3,6,8,4,1]=>[1,4,8,6,3,5,2,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,7,4,6,3,1,5,8]=>[8,5,1,3,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,8,6,5,3,1]=>[1,3,5,6,8,4,2,7]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,2,1,2]=>1 [8,1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [2,6,8,1,3,4,7,5]=>[5,7,4,3,1,8,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,3,5,7,6,1,4,8]=>[8,4,1,6,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,8,2,5,4,1,7]=>[7,1,4,5,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,3,6,4,7,8,1]=>[1,8,7,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,4,8,7,3,5,1,2]=>[2,1,5,3,7,8,4,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [6,1,4,2,3,5,7,8]=>[8,7,5,3,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,6,1,3,8,4,7]=>[7,4,8,3,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,7,6,2,1,5,8]=>[8,5,1,2,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,1,2,8,3,7]=>[7,3,8,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,2,7,8,3,6,1]=>[1,6,3,8,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [2,4,5,3,7,1,6,8]=>[8,6,1,7,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,5,7,1,6,8]=>[8,6,1,7,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,8,3,7,4,2]=>[2,4,7,3,8,1,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [7,1,4,3,8,6,5,2]=>[2,5,6,8,3,4,1,7]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [8,5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [4,7,6,3,2,8,5,1]=>[1,5,8,2,3,6,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,8,4,7,1,2,5,3]=>[3,5,2,1,7,4,8,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [1,3,7,6,8,4,5,2]=>[2,5,4,8,6,7,3,1]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [6,1,5,7,2,8,3,4]=>[4,3,8,2,7,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,5,4,8,7,6,1,3]=>[3,1,6,7,8,4,5,2]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,8,7,6,3,5,4,2]=>[2,4,5,3,6,7,8,1]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>2 [1,8,5,7,6,4,3,2]=>[2,3,4,6,7,5,8,1]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,1,2,1,1]=>2 [1,8,2,9,3,6,5,4,7]=>[7,4,5,6,3,9,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[7,2]=>7 [7,3,2,1,4,6,8,5]=>[5,8,6,4,1,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,2,1,4,6,8,5]=>[5,8,6,4,1,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [8,7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [6,2,4,1,7,8,3,5]=>[5,3,8,7,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6,8]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [1,4,8,3,2,6,7,5]=>[5,7,6,2,3,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,4,6,1,3,5,8,2]=>[2,8,5,3,1,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,1,3,5,2,4,8,7]=>[7,8,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,1,3,5,8,7,2,4]=>[4,2,7,8,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,2,5,7,8,1,3,6]=>[6,3,1,8,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,6,2,5,7,4,8]=>[8,4,7,5,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,4,6,3,5,7,1]=>[1,7,5,3,6,4,8,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,8,1,3,6,2,5,7]=>[7,5,2,6,3,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,6,8,1,4,7,2,5]=>[5,2,7,4,1,8,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [3,6,1,4,7,8,2,5]=>[5,2,8,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,1,3,6,2,5,7,8]=>[8,7,5,2,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,8,3,1,2,5,7]=>[7,5,2,1,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,8,4,6,1,2,5,7]=>[7,5,2,1,6,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,5,3,6,8,1,4,7]=>[7,4,1,8,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,7,1,3,6,4,8]=>[8,4,6,3,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,3,5,7,4,6,1]=>[1,6,4,7,5,3,8,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [1,4,7,2,5,3,6,8]=>[8,6,3,5,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,1,2,6,8,7]=>[7,8,6,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,3,5,1,4,2,6,8]=>[8,6,2,4,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,3,6,7,1,5,8]=>[8,5,1,7,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,2,1,3,7,8]=>[8,7,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,1,4,3,7,8]=>[8,7,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,4,1,7,2,8]=>[8,2,7,1,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,7,5,4,2,1,3]=>[3,1,2,4,5,7,8,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>3 [1,6,8,7,3,2,4,5]=>[5,4,2,3,7,8,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [8,7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7,8]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>2 [1,7,8,2,4,6,3,5]=>[5,3,6,4,2,8,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [7,5,4,8,1,3,6,2]=>[2,6,3,1,8,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,8,2,6,7,5,4,3]=>[3,4,5,7,6,2,8,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,1,2,1]=>3 [8,5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4,8]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [5,1,8,3,4,7,6,2]=>[2,6,7,4,3,8,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [4,1,8,3,5,7,6,2]=>[2,6,7,5,3,8,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [7,6,1,4,8,3,5,2]=>[2,5,3,8,4,1,6,7]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [7,4,3,6,2,8,5,1]=>[1,5,8,2,6,3,4,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,4,2,8,5,3,6,1]=>[1,6,3,5,8,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,3,2,1,6,5,4,8]=>[8,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,6,1,4,3,5,8]=>[8,5,3,4,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,8,5,3,4,7]=>[7,4,3,5,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,8,6,1,2,4,5,7]=>[7,5,4,2,1,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,1,6,5,3,4,7]=>[7,4,3,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,3,2,1,8,7,4,6]=>[6,4,7,8,1,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [1,8,5,3,2,7,4,6]=>[6,4,7,2,3,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,4,7,2,3,5,6]=>[6,5,3,2,7,4,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,1,8,7,2,5,4,6]=>[6,4,5,2,7,8,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [3,8,1,6,2,5,4,7]=>[7,4,5,2,6,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,1,4,2,7,6,5]=>[5,6,7,2,4,1,8,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,2,8,1,7,5,4,6]=>[6,4,5,7,1,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,6,8,2,7,3,4,5]=>[5,4,3,7,2,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [8,5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [2,5,6,3,7,1,4,8]=>[8,4,1,7,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,3,6,7,8,5,2]=>[2,5,8,7,6,3,1,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,2,3,6,7,8,5,1]=>[1,5,8,7,6,3,2,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [1,6,5,7,3,2,4,8]=>[8,4,2,3,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,1,2,8,3,5]=>[5,3,8,2,1,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,6,4,5,2,8,3,1]=>[1,3,8,2,5,4,6,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,6,1,5,8,3,2,7]=>[7,2,3,8,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,5,7,1,8,4,6,3]=>[3,6,4,8,1,7,5,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [6,8,1,5,4,3,2,7]=>[7,2,3,4,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,5,8,1,3,4,6,2]=>[2,6,4,3,1,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [7,6,2,1,4,8,5,3]=>[3,5,8,4,1,2,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [7,2,6,1,4,8,5,3]=>[3,5,8,4,1,6,2,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [2,7,8,1,4,6,5,3]=>[3,5,6,4,1,8,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [5,10,4,9,3,8,2,1,7,6]=>[6,7,1,2,8,3,9,4,10,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>[6,1,1,1,1]=>6 [5,10,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,10,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1,1,1]=>6 [5,4,10,3,9,2,8,1,7,6]=>[6,7,1,8,2,9,3,10,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[6,1,1,1,1]=>6 [5,4,3,10,2,9,8,7,1,6]=>[6,1,7,8,9,2,10,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[6,1,1,1,1]=>6 [5,4,3,10,2,1,9,8,7,6]=>[6,7,8,9,1,2,10,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1,1,1]=>6 [5,4,3,2,10,9,8,7,1,6]=>[6,1,7,8,9,10,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,1,1,1,1]=>6 [5,4,3,2,10,9,8,1,7,6]=>[6,7,1,8,9,10,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[6,1,1,1,1]=>6 [5,4,3,2,10,9,1,8,7,6]=>[6,7,8,1,9,10,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1,1,1]=>6 [5,4,3,2,10,1,9,8,7,6]=>[6,7,8,9,1,10,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1,1,1]=>6 [4,8,3,5,6,2,1,7]=>[7,1,2,6,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,6,7,2,4,5,3]=>[3,5,4,2,7,6,8,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [3,7,8,1,5,2,6,4]=>[4,6,2,5,1,8,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,6,8,5,1,3,4,2]=>[2,4,3,1,5,8,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [3,6,7,1,4,5,8,2]=>[2,8,5,4,1,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,8,1,4,5,7,2]=>[2,7,5,4,1,8,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,8,5,6,3,4,7,2]=>[2,7,4,3,6,5,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,4,6,5,2,3,7,8]=>[8,7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,7,8,3,6,1]=>[1,6,3,8,7,4,5,2]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [1,4,8,5,7,3,6,2]=>[2,6,3,7,5,8,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>2 [5,2,4,7,8,3,6,1]=>[1,6,3,8,7,4,2,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,8,6,1,2,7,5,4]=>[4,5,7,2,1,6,8,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [7,1,2,5,6,8,4,3]=>[3,4,8,6,5,2,1,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [4,8,1,5,6,2,3,7]=>[7,3,2,6,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,4,3,7,2,8,5]=>[5,8,2,7,3,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,6,4,1,7,3,8,2]=>[2,8,3,7,1,4,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,7,8,2,5,1,6]=>[6,1,5,2,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,7,4,5,6,8,3,2]=>[2,3,8,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,4,1,6,3,8,2,7]=>[7,2,8,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,7,4,5,8,1,6,2]=>[2,6,1,8,5,4,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,4,3,5,6,8,2,7]=>[7,2,8,6,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,4,6,5,8,2,7,3]=>[3,7,2,8,5,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,7,3,6,4,2,8,5]=>[5,8,2,4,6,3,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,7,3,5,1,2,8,6]=>[6,8,2,1,5,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,8,3,5,2,1,6,7]=>[7,6,1,2,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,6,8,4,7,5,3,2]=>[2,3,5,7,4,8,6,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,2,2,1]=>2 [8,7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [8,7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7,8]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [6,8,2,1,3,7,5,4]=>[4,5,7,3,1,2,8,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>4 [8,7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [2,8,7,1,3,5,4,6]=>[6,4,5,3,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [4,7,1,6,8,2,3,5]=>[5,3,2,8,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [4,6,5,8,2,3,7,1]=>[1,7,3,2,8,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [7,1,8,2,4,5,3,6]=>[6,3,5,4,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,2,3,8,7,1,4,6]=>[6,4,1,7,8,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,6,1,2,8,7,3,4]=>[4,3,7,8,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [3,7,5,4,6,2,1,8]=>[8,1,2,6,4,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,7,5,3,6,8,2]=>[2,8,6,3,5,7,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [8,7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [2,7,6,4,8,3,1,5]=>[5,1,3,8,4,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [8,6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [5,1,2,4,7,3,6,8]=>[8,6,3,7,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,6,8,5,7,1]=>[1,7,5,8,6,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,1,3,5,2,4,7,8]=>[8,7,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,2,6,5,1,8]=>[8,1,5,6,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,8,6,1,2,7]=>[7,2,1,6,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,8,4,6,1,3,5,2]=>[2,5,3,1,6,4,8,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>2 [7,8,6,2,1,4,3,5]=>[5,3,4,1,2,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [3,7,6,4,1,5,2,8]=>[8,2,5,1,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,4,1,5,8,2,3]=>[3,2,8,5,1,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,1,2,5,8,7,6,4]=>[4,6,7,8,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [5,1,6,4,8,3,2,7]=>[7,2,3,8,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,8,6,2,1,5,7]=>[7,5,1,2,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,1,4,5,7,2,8,3]=>[3,8,2,7,5,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,1,3,5,7,2,8,6]=>[6,8,2,7,5,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,8,2,4,6,3,7]=>[7,3,6,4,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,5,8,6,7,2,4]=>[4,2,7,6,8,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,5,4,8,7,3,2,6]=>[6,2,3,7,8,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [5,2,4,6,7,3,1,8]=>[8,1,3,7,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,3,5,8,2,6]=>[6,2,8,5,3,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,3,1,2,6,5,7,8]=>[8,7,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,7,3,6,4,8]=>[8,4,6,3,7,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,5,1,4,3,8,6]=>[6,8,3,4,1,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,6,4,1,5,8,2,7]=>[7,2,8,5,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,2,4,8,3,5,6,1]=>[1,6,5,3,8,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,1,2,4,3,6,8,5]=>[5,8,6,3,4,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,6,1,4,5,8,2]=>[2,8,5,4,1,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,4,5,8,3,6,2]=>[2,6,3,8,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,3,6,5,1,2,4,8]=>[8,4,2,1,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,8,1,2,4,3,6]=>[6,3,4,2,1,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,1,2,4,3,6,5,8]=>[8,5,6,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,8,1,2,4,6,3]=>[3,6,4,2,1,8,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [3,5,8,1,4,2,6,7]=>[7,6,2,4,1,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,4,6,8,7,1,2]=>[2,1,7,8,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,4,8,5,1,2,6,7]=>[7,6,2,1,5,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,3,1,2,6,7,4]=>[4,7,6,2,1,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,7,1,6,3,4,8,2]=>[2,8,4,3,6,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,5,2,1,6,7,4,8]=>[8,4,7,6,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,5,8,7,4,3]=>[3,4,7,8,5,1,6,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [6,2,5,1,4,3,7,8]=>[8,7,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,8,4,7,6,5]=>[5,6,7,4,8,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [5,4,6,7,1,3,2,8]=>[8,2,3,1,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,1,3,8,5,2,7]=>[7,2,5,8,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,1,4,3,8,5,2,6]=>[6,2,5,8,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,3,1,4,6,7,2,8]=>[8,2,7,6,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,3,4,7,2,8]=>[8,2,7,4,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,1,2,4,3,7,8]=>[8,7,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,8,6,3,2,7]=>[7,2,3,6,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [7,4,6,3,1,2,8,5]=>[5,8,2,1,3,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,6,2,5,7,8,1,3]=>[3,1,8,7,5,2,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,6,3,5,7,1,2,8]=>[8,2,1,7,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,5,8,6,1,2]=>[2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,7,2,5,6,8,1,3]=>[3,1,8,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,8,2,5,6,7,1,3]=>[3,1,7,6,5,2,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,4,7,2,6,5,8,3]=>[3,8,5,6,2,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,6,2,1,8,3,7]=>[7,3,8,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,7,6,2,8,5,4,3]=>[3,4,5,8,2,6,7,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>3 [1,2,7,8,3,4,6,5]=>[5,6,4,3,8,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,4,1,7,8,6,5,2]=>[2,5,6,8,7,1,4,3]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [5,1,3,4,8,2,7,6]=>[6,7,2,8,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,5,1,8,3,4,7,2]=>[2,7,4,3,8,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [7,5,6,1,3,4,8,2]=>[2,8,4,3,1,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,2,4,6,1,8,3]=>[3,8,1,6,4,2,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,7,5,8,6,4,1]=>[1,4,6,8,5,7,2,3]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [8,4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [2,4,8,3,6,5,7,1]=>[1,7,5,6,3,8,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,2,1,8,6,5,7,3]=>[3,7,5,6,8,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,1,8,2,6,5,7,4]=>[4,7,5,6,2,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [3,4,2,8,6,5,7,1]=>[1,7,5,6,8,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [1,3,8,4,6,5,2,7]=>[7,2,5,6,4,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,7,2,1,8,6,5,3]=>[3,5,6,8,1,2,7,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [5,7,2,4,8,6,1,3]=>[3,1,6,8,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,2,3,1,8,6,5,4]=>[4,5,6,8,1,3,2,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [7,2,8,3,5,6,1,4]=>[4,1,6,5,3,8,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,7,3,4,8,5,2,6]=>[6,2,5,8,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,7,3,8,5,4,2,6]=>[6,2,4,5,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,8,4,5,3,1,6]=>[6,1,3,5,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,8,6,4,3,1,7,5]=>[5,7,1,3,4,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,7,3,4,8,2,5,6]=>[6,5,2,8,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,5,8,3,4,6,2,7]=>[7,2,6,4,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,3,8,4,2,5,7,6]=>[6,7,5,2,4,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [1,8,4,6,7,2,3,5]=>[5,3,2,7,6,4,8,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [2,7,4,5,1,8,6,3]=>[3,6,8,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,8,4,6,2,7,1,5]=>[5,1,7,2,6,4,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,9,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,1,1,2,1]=>2 [1,5,8,6,7,4,3,2]=>[2,3,4,7,6,8,5,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,1,3,1]=>2 [1,6,9,7,8,5,4,3,2]=>[2,3,4,5,8,7,9,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,1,1,3,1]=>2 [1,9,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,9,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,1,3,1]=>2 [6,3,1,4,5,7,2,8]=>[8,2,7,5,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,8,2,6,1,5,7]=>[7,5,1,6,2,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,4,8,2,1,6,5,3]=>[3,5,6,1,2,8,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [7,4,5,8,1,3,6,2]=>[2,6,3,1,8,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [7,2,5,8,4,6,1,3]=>[3,1,6,4,8,5,2,7]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [3,1,5,7,4,8,2,6]=>[6,2,8,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,2,4,6,1,5,8,3]=>[3,8,5,1,6,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,4,6,3,2,5,8,7]=>[7,8,5,2,3,6,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,3,6,5,8,2,4,7]=>[7,4,2,8,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,8,3,1,6,4,5,2]=>[2,5,4,6,1,3,8,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [5,2,6,8,1,4,3,7]=>[7,3,4,1,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,7,3,8,2,1,4,5]=>[5,4,1,2,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [2,7,3,6,4,5,8,1]=>[1,8,5,4,6,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,7,3,1,5,8,6,4]=>[4,6,8,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,7,3,5,4,1,8,6]=>[6,8,1,4,5,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,6,3,7,4,1,8,5]=>[5,8,1,4,7,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,3,1,5,4,8,7]=>[7,8,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,7,3,1,5,4,8,6]=>[6,8,4,5,1,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,8,1,3,6,2,7]=>[7,2,6,3,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,4,6,5,2,8,3,1]=>[1,3,8,2,5,6,4,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,6,3,1,7,2,8,5]=>[5,8,2,7,1,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,6,3,1,8,5,4]=>[4,5,8,1,3,6,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,6,3,2,8,7,4,5]=>[5,4,7,8,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,7,4,2,6,5,8,1]=>[1,8,5,6,2,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [2,7,3,6,1,8,5,4]=>[4,5,8,1,6,3,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [5,4,8,7,1,3,6,2]=>[2,6,3,1,7,8,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [6,1,8,2,5,7,4,3]=>[3,4,7,5,2,8,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [5,10,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,10,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1,1]=>2 [6,3,1,5,2,8,7,4]=>[4,7,8,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [7,4,5,1,2,6,3,8]=>[8,3,6,2,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,8,7,6,2,5]=>[5,2,6,7,8,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [5,4,6,1,8,2,7,3]=>[3,7,2,8,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,4,3,7,8,1,5,2]=>[2,5,1,8,7,3,4,6]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [2,4,6,7,1,5,3,8]=>[8,3,5,1,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,3,6,1,7,8,2]=>[2,8,7,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,9,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [1,9,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,9,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>4 [1,10,9,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,9,10,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1,1]=>4 [1,10,9,8,7,5,4,3,2,6]=>[6,2,3,4,5,7,8,9,10,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,1,1,1,1]=>6 [1,10,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>9 [4,7,6,1,5,8,2,3]=>[3,2,8,5,1,6,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,4,7,6,3,5,8,1]=>[1,8,5,3,6,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,7,3,4,5,8,1]=>[1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,6,5,1,8,2,3]=>[3,2,8,1,5,6,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,7,4,6,5,8,2,1]=>[1,2,8,5,6,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [2,1,4,7,8,3,6,5]=>[5,6,3,8,7,4,1,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,4,6,5,8,7,2,3]=>[3,2,7,8,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [8,5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5,8]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>2 [3,4,8,1,6,7,2,5]=>[5,2,7,6,1,8,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,3,7,8,4,6,2,5]=>[5,2,6,4,8,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [3,1,7,8,4,6,2,5]=>[5,2,6,4,8,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [5,8,4,3,7,1,2,6]=>[6,2,1,7,3,4,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [5,6,4,8,7,2,1,3]=>[3,1,2,7,8,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>3 [2,8,4,7,1,3,6,5]=>[5,6,3,1,7,4,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [3,7,2,1,5,6,4,8]=>[8,4,6,5,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,5,3,2,4,1,7]=>[7,1,4,2,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,6,1,8,7,5,3,2]=>[2,3,5,7,8,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,2,2,1]=>2 [3,8,5,1,2,7,6,4]=>[4,6,7,2,1,5,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [3,8,1,7,2,4,6,5]=>[5,6,4,2,7,1,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [6,7,8,3,1,2,5,4]=>[4,5,2,1,3,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [4,3,1,2,7,5,6,8]=>[8,6,5,7,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,7,6,8,5,3,2]=>[2,3,5,8,6,7,1,4]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [1,7,6,8,5,3,4,2]=>[2,4,3,5,8,6,7,1]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [4,1,7,8,6,5,2,3]=>[3,2,5,6,8,7,1,4]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [4,3,7,6,5,8,1,2]=>[2,1,8,5,6,7,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [5,4,3,7,6,1,2,8]=>[8,2,1,6,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,8,3,5,7,1]=>[1,7,5,3,8,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,5,1,7,3,2,4,8]=>[8,4,2,3,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,1,2,3,8,5]=>[5,8,3,2,1,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,1,7,8,6,2,5]=>[5,2,6,8,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [3,1,7,8,6,5,2,4]=>[4,2,5,6,8,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [4,5,2,6,7,8,1,3]=>[3,1,8,7,6,2,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,8,7,6,5,4,3,1,9]=>[9,1,3,4,5,6,7,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,1,4,9,8,7,6,5,3]=>[3,5,6,7,8,9,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1,1]=>3 [3,6,2,1,7,8,4,5]=>[5,4,8,7,1,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,5,8,4,2,1,3,6]=>[6,3,1,2,4,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,3,2,7,8,4,1,6]=>[6,1,4,8,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,5,1,3,7,6,2,8]=>[8,2,6,7,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,4,3,8,6,2,7]=>[7,2,6,8,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,7,5,8,4,6,2]=>[2,6,4,8,5,7,3,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [1,7,5,6,4,2,3,8]=>[8,3,2,4,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,1,5,3,4,6,2]=>[2,6,4,3,5,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>2 [7,3,5,4,1,6,2,8]=>[8,2,6,1,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,1,6,4,2,8]=>[8,2,4,6,1,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,5,6,3,4,8,2]=>[2,8,4,3,6,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,2,6,8,4,3,1]=>[1,3,4,8,6,2,7,5]=>[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>1 [1,6,7,4,5,3,2,8]=>[8,2,3,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,6,3,5,4,1,8]=>[8,1,4,5,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,2,4,3,1,8]=>[8,1,3,4,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,3,5,4,2,8]=>[8,2,4,5,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,6,7,5,3,8]=>[8,3,5,7,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,2,4,6,5,3,7]=>[7,3,5,6,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,3,5,4,2,8,6,7]=>[7,6,8,2,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2,8]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [7,2,1,6,4,3,8,5]=>[5,8,3,4,6,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,8,2,3,1,7,6,4]=>[4,6,7,1,3,2,8,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [6,8,2,5,4,1,7,3]=>[3,7,1,4,5,2,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [5,6,1,3,4,8,2,7]=>[7,2,8,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,7,1,8,2,4,5,3]=>[3,5,4,2,8,1,7,6]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [6,1,7,8,2,3,5,4]=>[4,5,3,2,8,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,4,8,7,2,3,6,5]=>[5,6,3,2,7,8,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [8,5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [1,8,4,6,2,3,7,5]=>[5,7,3,2,6,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,3,2,6,5,7,4]=>[4,7,5,6,2,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,8,1,2,6,4,5,7]=>[7,5,4,6,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,2,7,8,1,5,3,6]=>[6,3,5,1,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,1,3,6,5,8,2,7]=>[7,2,8,5,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,7,1,5,8,2,6]=>[6,2,8,5,1,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,6,8,7,1,3,4]=>[4,3,1,7,8,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [2,8,1,3,4,6,5,7]=>[7,5,6,4,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,4,5,7,6,1,2]=>[2,1,6,7,5,4,8,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [6,5,3,4,1,7,2,8]=>[8,2,7,1,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,6,4,7,8,2,3]=>[3,2,8,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,5,4,8,6,1,3,7]=>[7,3,1,6,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,8,6,5,2,7,4,3]=>[3,4,7,2,5,6,8,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>3 [1,7,2,8,6,5,4,3]=>[3,4,5,6,8,2,7,1]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,2]=>3 [3,7,4,2,1,6,8,5]=>[5,8,6,1,2,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,4,5,1,8,6,3]=>[3,6,8,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [6,2,7,4,3,5,1,8]=>[8,1,5,3,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,8,2,6,5,1]=>[1,5,6,2,8,4,3,7]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [6,8,2,3,4,5,7,1]=>[1,7,5,4,3,2,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [5,8,2,7,1,4,6,3]=>[3,6,4,1,7,2,8,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [6,4,1,8,3,7,5,2]=>[2,5,7,3,8,1,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>2 [4,5,8,7,3,6,2,1]=>[1,2,6,3,7,8,5,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,4,1,1]=>1 [2,9,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,9,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>3 [6,8,7,2,1,5,4,3]=>[3,4,5,1,2,7,8,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>3 [2,10,9,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,9,10,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>3 [2,10,9,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,9,10,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>3 [2,10,9,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,9,10,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>3 [6,5,1,7,3,8,4,2]=>[2,4,8,3,7,1,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,2,7,5,4,3,8,1]=>[1,8,3,4,5,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,8,6,2,5,4,3,1]=>[1,3,4,5,2,6,8,7]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>1 [6,1,8,3,7,5,4,2]=>[2,4,5,7,3,8,1,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,2,1,2,1]=>2 [6,2,8,3,7,5,4,1]=>[1,4,5,7,3,8,2,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,3,1,2,1]=>1 [8,1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1,8]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[2,2,1,2,1]=>2 [7,8,4,6,5,3,2,1]=>[1,2,3,5,6,4,8,7]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,2,1,2]=>1 [2,8,6,3,7,5,4,1]=>[1,4,5,7,3,6,8,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,1,2,1]=>1 [8,3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,4,5,1,7,6,8,3]=>[3,8,6,7,1,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,2,3,5,7,1,8,4]=>[4,8,1,7,5,3,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,3,4,2,7,1,8,5]=>[5,8,1,7,2,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,3,5,7,2,8,4]=>[4,8,2,7,5,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,3,6,7,4,8,2]=>[2,8,4,7,6,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,2,4,6,7,1,8,5]=>[5,8,1,7,6,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,8,3,4,7,5,1]=>[1,5,7,4,3,8,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [6,1,5,7,4,3,8,2]=>[2,8,3,4,7,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,8,3,4,7,5,1,2]=>[2,1,5,7,4,3,8,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [6,8,3,7,4,2,5,1]=>[1,5,2,4,7,3,8,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,1]=>1 [7,4,1,6,5,2,8,3]=>[3,8,2,5,6,1,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,6,7,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [5,4,8,3,1,6,7,2]=>[2,7,6,1,3,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,4,2,8,1,5,3,7]=>[7,3,5,1,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,8,1,4,7,6,2]=>[2,6,7,4,1,8,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [7,4,2,8,6,5,3,1]=>[1,3,5,6,8,2,4,7]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,2,1,2]=>1 [6,8,4,7,3,2,5,1]=>[1,5,2,3,7,4,8,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,1]=>1 [6,8,7,3,5,1,4,2]=>[2,4,1,5,3,7,8,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>2 [7,3,4,8,5,2,6,1]=>[1,6,2,5,8,4,3,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [4,2,5,8,6,1,3,7]=>[7,3,1,6,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,2,5,7,8,3,1,4]=>[4,1,3,8,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [7,5,3,6,8,2,4,1]=>[1,4,2,8,6,3,5,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [8,6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6,8]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>1 [7,3,6,4,2,1,8,5]=>[5,8,1,2,4,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,4,8,6,5,3,1,2]=>[2,1,3,5,6,8,4,7]=>[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,2,1,2]=>2 [9,1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [5,1,3,8,2,7,4,6]=>[6,4,7,2,8,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,7,1,3,2,8,4,6]=>[6,4,8,2,3,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,1,6,3,2,8,4,5]=>[5,4,8,2,3,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,8,2,7,6,3,5,4]=>[4,5,3,6,7,2,8,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [6,8,4,3,5,1,2,7]=>[7,2,1,5,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [6,3,8,5,7,2,1,4]=>[4,1,2,7,5,8,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>4 [5,2,7,4,6,1,3,8]=>[8,3,1,6,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [6,3,5,2,8,1,4,7]=>[7,4,1,8,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,1,3,2,5,4,7,6,10,9]=>[9,10,6,7,4,5,2,3,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,8,3,6,5,1,4,7]=>[7,4,1,5,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,7,4,2,6,5,1,8]=>[8,1,5,6,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,5,2,3,1,8]=>[8,1,3,2,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,6,1,2,5,4,8]=>[8,4,5,2,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,3,8,7,6,4]=>[4,6,7,8,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [2,7,3,4,8,1,5,6]=>[6,5,1,8,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,7,6,1,3,8,5,2]=>[2,5,8,3,1,6,7,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,7,6,2,3,1,5,8]=>[8,5,1,3,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,4,2,6,8,3,1]=>[1,3,8,6,2,4,7,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,1,6,4,8,7,2,3]=>[3,2,7,8,4,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [2,7,6,4,3,8,1,5]=>[5,1,8,3,4,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,7,1,5,3,2,8,6]=>[6,8,2,3,5,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,7,6,1,3,2,8,5]=>[5,8,2,3,1,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,6,3,4,7,8,5,1]=>[1,5,8,7,4,3,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,6,3,1,8,5,2,4]=>[4,2,5,8,1,3,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,6,3,8,1,5,2,4]=>[4,2,5,1,8,3,6,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [1,6,4,7,8,5,3,2]=>[2,3,5,8,7,4,6,1]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [7,1,4,6,3,5,2,8]=>[8,2,5,3,6,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,2,1,7,8,4]=>[4,8,7,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,4,1,5,2,8,6]=>[6,8,2,5,1,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,3,5,1,4,8,6]=>[6,8,4,1,5,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,5,8,6,2,3,1]=>[1,3,2,6,8,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [2,3,4,7,8,5,1,6]=>[6,1,5,8,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,6,1,3,8,2,7,4]=>[4,7,2,8,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,1,6,4,7,8,3,2]=>[2,3,8,7,4,6,1,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,7,2,3,8,4,1,5]=>[5,1,4,8,3,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,3,4,8,1,5,2,6]=>[6,2,5,1,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,5,2,6,8,7,4,3]=>[3,4,7,8,6,2,5,1]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [1,8,3,7,5,2,6,4]=>[4,6,2,5,7,3,8,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [8,1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,7,1,5,2,6,8,3]=>[3,8,6,2,5,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6,8]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>3 [4,1,6,2,3,8,7,5]=>[5,7,8,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,1,6,4,2,8,7,5]=>[5,7,8,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [6,5,1,8,2,3,7,4]=>[4,7,3,2,8,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,2,1,7,6,3,8,5]=>[5,8,3,6,7,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,3,1,8,7,6,2,4]=>[4,2,6,7,8,1,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [4,1,6,5,2,8,7,3]=>[3,7,8,2,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [4,1,7,6,5,2,8,3]=>[3,8,2,5,6,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,4,2,1,7,3,8,6]=>[6,8,3,7,1,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,4,1,6,2,8,7,3]=>[3,7,8,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [7,5,6,4,2,8,3,1]=>[1,3,8,2,4,6,5,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [5,7,4,6,3,2,8,1]=>[1,8,2,3,6,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,6,1,5,7,4,8]=>[8,4,7,5,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,2,3,8,1,4]=>[4,1,8,3,2,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,1,4,7,3,2,5,8]=>[8,5,2,3,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [1,5,7,6,3,8,2,4]=>[4,2,8,3,6,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,1,7,8,3,5,4,6]=>[6,4,5,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7,8]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>4 [3,7,8,2,5,4,1,6]=>[6,1,4,5,2,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,7,6,5,8,1,3,2]=>[2,3,1,8,5,6,7,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [4,7,8,6,2,1,5,3]=>[3,5,1,2,6,8,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>3 [4,1,5,7,8,6,3,2]=>[2,3,6,8,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [3,6,7,1,5,4,8,2]=>[2,8,4,5,1,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,4,7,5,8,2,1]=>[1,2,8,5,7,4,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [6,5,3,7,8,1,4,2]=>[2,4,1,8,7,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [1,5,6,7,3,8,4,2]=>[2,4,8,3,7,6,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [6,5,7,3,1,8,2,4]=>[4,2,8,1,3,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,4,7,1,5,2,8,3]=>[3,8,2,5,1,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,6,7,4,2,1,8,3]=>[3,8,1,2,4,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,3,4,7,8,2,6,1]=>[1,6,2,8,7,4,3,5]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [3,2,6,1,8,5,4,7]=>[7,4,5,8,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,7,3,1,4,2,8,6]=>[6,8,2,4,1,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,7,3,8,4,2,1,6]=>[6,1,2,4,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,2,7,4,5,1,8,6]=>[6,8,1,5,4,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,4,8,5,2,3,6,1]=>[1,6,3,2,5,8,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [7,3,1,8,4,5,2,6]=>[6,2,5,4,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,2,8,5,4,3,1,6]=>[6,1,3,4,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,3,7,1,4,6,2,8]=>[8,2,6,4,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,5,4,6,3,8]=>[8,3,6,4,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,4,8,1,5,6]=>[6,5,1,8,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,8,5,2,3,6,7,1]=>[1,7,6,3,2,5,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [3,4,6,8,2,5,1,7]=>[7,1,5,2,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,7,2,5,4,6,8,1]=>[1,8,6,4,5,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,8,6,5,7,4,2,1]=>[1,2,4,7,5,6,8,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,2,3,1]=>1 [1,6,5,2,8,7,4,3]=>[3,4,7,8,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [1,3,2,5,4,6,7,8,9]=>[9,8,7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,1,7,2,5,8,3,6]=>[6,3,8,5,2,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,7,5,2,8,6,4]=>[4,6,8,2,5,7,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [3,2,5,8,6,1,7,4]=>[4,7,1,6,8,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,4,2,5,8,6,1,7]=>[7,1,6,8,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,5,1,7,2,8,6,3]=>[3,6,8,2,7,1,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,7,5,2,8,6,4,1]=>[1,4,6,8,2,5,7,3]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [4,7,1,8,5,3,6,2]=>[2,6,3,5,8,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [1,8,6,4,7,2,5,3]=>[3,5,2,7,4,6,8,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [7,3,6,1,5,8,2,4]=>[4,2,8,5,1,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,7,2,4,8,3,1,6]=>[6,1,3,8,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,8,6,1,7,5,4,2]=>[2,4,5,7,1,6,8,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,2,1,2,1]=>2 [6,3,5,4,1,8,7,2]=>[2,7,8,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [4,8,6,3,5,1,7,2]=>[2,7,1,5,3,6,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [6,1,2,4,3,8,5,7]=>[7,5,8,3,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,3,1,5,4,8,7,2]=>[2,7,8,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [1,6,3,7,5,4,8,2]=>[2,8,4,5,7,3,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,1,3,8,5,4,2,6]=>[6,2,4,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,8,2,7,3,4,5,1]=>[1,5,4,3,7,2,8,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,1]=>1 [2,1,6,3,5,4,7,8]=>[8,7,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,7,3,5,1,6,2]=>[2,6,1,5,3,7,8,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [5,3,8,7,1,6,2,4]=>[4,2,6,1,7,8,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [5,6,2,4,7,3,1,8]=>[8,1,3,7,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,7,2,5,3,8]=>[8,3,5,2,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,7,8,2,6,3]=>[3,6,2,8,7,1,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,5,1,7,4,2,8,6]=>[6,8,2,4,7,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,2,5,7,1,3,8,6]=>[6,8,3,1,7,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,4,2,7,6,1,8,5]=>[5,8,1,6,7,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,1,6,2,8,7,5]=>[5,7,8,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [3,5,2,6,1,8,4,7]=>[7,4,8,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [4,1,7,3,2,8,5,6]=>[6,5,8,2,3,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [1,2,6,3,7,8,5,4]=>[4,5,8,7,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,1,3,7,8,5,4,2]=>[2,4,5,8,7,3,1,6]=>[1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>2 [4,3,5,7,8,2,1,6]=>[6,1,2,8,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,6,8,5,4,2,1,7]=>[7,1,2,4,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,6,7,3,5,8,2,4]=>[4,2,8,5,3,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,4,1,7,5,8,2,3]=>[3,2,8,5,7,1,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,2,5,1,4,3,6,8]=>[8,6,3,4,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,2,3,1,7,8]=>[8,7,1,3,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,1,3,2,8,6]=>[6,8,2,3,1,7,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,6,5,8,3,4,7,2]=>[2,7,4,3,8,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [5,2,4,7,6,1,3,8]=>[8,3,1,6,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,8,4,7,5,2,3]=>[3,2,5,7,4,8,1,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>3 [6,5,1,4,3,7,2,8]=>[8,2,7,3,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,4,7,5,3,1,8]=>[8,1,3,5,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,2,5,7,3,1,8]=>[8,1,3,7,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,2,8,7,1,5]=>[5,1,7,8,2,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,5,1,8,6,2,7,3]=>[3,7,2,6,8,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,6,1,8,7,2,3,4]=>[4,3,2,7,8,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>4 [4,2,6,7,8,5,1,3]=>[3,1,5,8,7,6,2,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,8,3,4,5,6,1,7]=>[7,1,6,5,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,2,8,1,5,6,4,7]=>[7,4,6,5,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,7,3,2,1,4,6]=>[6,4,1,2,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [1,8,7,2,5,6,4,3]=>[3,4,6,5,2,7,8,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [2,3,6,4,7,8,1,5]=>[5,1,8,7,4,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,3,7,4,5,8,1,6]=>[6,1,8,5,4,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,6,1,2,5,8,4,3]=>[3,4,8,5,2,1,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [3,4,7,1,5,8,2,6]=>[6,2,8,5,1,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,6,3,1,7,2,8]=>[8,2,7,1,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,7,5,2,3,6,8]=>[8,6,3,2,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,2,1,8,4,6]=>[6,4,8,1,2,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,5,7,3,8,6,1,4]=>[4,1,6,8,3,7,5,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,5,7,6,8,3,4,1]=>[1,4,3,8,6,7,5,2]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [1,6,8,3,5,4,7,2]=>[2,7,4,5,3,8,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [6,5,4,7,1,8,3,2]=>[2,3,8,1,7,4,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,5,1,3,8,4,7,2]=>[2,7,4,8,3,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,1,3,6,8,4,7,2]=>[2,7,4,8,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,8,4,6,5,1,7,2]=>[2,7,1,5,6,4,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [7,3,1,2,6,8,5,4]=>[4,5,8,6,2,1,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,4,7,5,6,8,2,1]=>[1,2,8,6,5,7,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,8,5,6,1,7,2,3]=>[3,2,7,1,6,5,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,5,8,6,3,7,4,1]=>[1,4,7,3,6,8,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [3,4,7,2,8,6,5,1]=>[1,5,6,8,2,7,4,3]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [2,3,7,8,6,1,5,4]=>[4,5,1,6,8,7,3,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [2,3,8,4,7,5,1,6]=>[6,1,5,7,4,8,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,8,4,5,1,7,6,2]=>[2,6,7,1,5,4,8,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>2 [7,4,1,2,5,3,6,8]=>[8,6,3,5,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,7,5,1,2,6,8]=>[8,6,2,1,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,5,4,2,1,8]=>[8,1,2,4,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,8,7,2,6,5]=>[5,6,2,7,8,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [7,4,2,3,6,5,1,8]=>[8,1,5,6,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,3,1,5,6,8]=>[8,6,5,1,3,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,1,4,8,5,7,2]=>[2,7,5,8,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [6,3,5,4,8,7,1,2]=>[2,1,7,8,4,5,3,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [2,6,4,3,1,7,5,8]=>[8,5,7,1,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,1,7,5,6,3,2]=>[2,3,6,5,7,1,8,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>2 [1,5,7,2,8,4,6,3]=>[3,6,4,8,2,7,5,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,8,7,2,3,6,4,1]=>[1,4,6,3,2,7,8,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,1,1]=>1 [4,6,5,1,2,3,7,8]=>[8,7,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,7,5,2,6,3,4]=>[4,3,6,2,5,7,8,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [1,7,6,3,4,5,8,2]=>[2,8,5,4,3,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,2,6,5,8,3,4,7]=>[7,4,3,8,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,3,5,1,4,2,7,8]=>[8,7,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1,8]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [7,3,5,6,8,2,4,1]=>[1,4,2,8,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [7,2,6,4,8,1,5,3]=>[3,5,1,8,4,6,2,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,3,2,1,5,8,6,4]=>[4,6,8,5,1,2,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [5,7,2,1,3,6,4,8]=>[8,4,6,3,1,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,8,7,3,5,4,1]=>[1,4,5,3,7,8,6,2]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>1 [2,1,5,6,4,8,3,7]=>[7,3,8,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,7,8,6,2,3]=>[3,2,6,8,7,4,1,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,4,3,8,6,1,5,2]=>[2,5,1,6,8,3,4,7]=>[1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [4,3,7,1,5,8,6,2]=>[2,6,8,5,1,7,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [4,8,7,2,6,1,3,5]=>[5,3,1,6,2,7,8,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,5,8,2,1,7,3,6]=>[6,3,7,1,2,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [6,7,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,3,1]=>1 [5,7,9,8,6,4,3,2,1]=>[1,2,3,4,6,8,9,7,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,1,2,2,1]=>1 [6,3,1,8,2,7,5,4]=>[4,5,7,2,8,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>4 [3,8,5,2,1,7,6,4]=>[4,6,7,1,2,5,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [2,4,8,7,5,1,6,3]=>[3,6,1,5,7,8,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [6,4,1,3,2,5,7,8]=>[8,7,5,2,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,7,8,3,2,5,6]=>[6,5,2,3,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,4,7,1,3,6,2,8]=>[8,2,6,3,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,2,9,8,7,6,5,1,4]=>[4,1,5,6,7,8,9,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1,1]=>4 [1,8,2,4,5,3,6,7]=>[7,6,3,5,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,5,7,2,3,8,4,1]=>[1,4,8,3,2,7,5,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [7,6,2,8,4,5,3,1]=>[1,3,5,4,8,2,6,7]=>[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>1 [5,8,2,1,3,6,4,7]=>[7,4,6,3,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,2,1,7,4,6,3]=>[3,6,4,7,1,2,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [7,8,6,2,3,1,5,4]=>[4,5,1,3,2,6,8,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>4 [6,2,8,7,4,1,5,3]=>[3,5,1,4,7,8,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [8,6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>2 [8,3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [2,1,5,7,3,6,4,8]=>[8,4,6,3,7,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,8,2,1,5,4,6]=>[6,4,5,1,2,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [5,3,8,6,1,7,2,4]=>[4,2,7,1,6,8,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [2,5,3,6,8,1,7,4]=>[4,7,1,8,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [7,1,5,6,4,8,2,3]=>[3,2,8,4,6,5,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,8,3,6,2,5,7,4]=>[4,7,5,2,6,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,5,8,4,6,7,1,3]=>[3,1,7,6,4,8,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [7,1,2,6,5,3,4,8]=>[8,4,3,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,2,7,1,8,5]=>[5,8,1,7,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,4,6,8,3,7,1,2]=>[2,1,7,3,8,6,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>2 [4,7,8,6,2,3,5,1]=>[1,5,3,2,6,8,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>1 [2,3,1,4,8,7,5,6]=>[6,5,7,8,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,1,5,8,2,6,4,7]=>[7,4,6,2,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,1,2,4,8,6,5,3]=>[3,5,6,8,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [5,3,4,1,8,7,6,2]=>[2,6,7,8,1,4,3,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [7,1,3,2,8,6,5,4]=>[4,5,6,8,2,3,1,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [2,5,3,1,8,7,6,4]=>[4,6,7,8,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [4,3,5,1,8,7,6,2]=>[2,6,7,8,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [4,6,1,8,7,2,3,5]=>[5,3,2,7,8,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [2,7,5,6,4,8,1,3]=>[3,1,8,4,6,5,7,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,8,2,5,6,1,7,3]=>[3,7,1,6,5,2,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [3,8,1,6,2,4,7,5]=>[5,7,4,2,6,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,5,8,4,1,6,7,3]=>[3,7,6,1,4,8,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1,1,1]=>1 [10,9,4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4,9,10]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,1,2,1,1,1,1,1]=>1 [10,2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2,10]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1,1,1,1]=>1 [7,4,3,1,6,5,2,8]=>[8,2,5,6,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,4,8,7,5,6]=>[6,5,7,8,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [5,6,7,1,4,8,3,2]=>[2,3,8,4,1,7,6,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,4,1,2,3,7,8,6]=>[6,8,7,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,8,5,6,2,4,3,1]=>[1,3,4,2,6,5,8,7]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,1,2,2]=>1 [5,3,8,6,2,4,1,7]=>[7,1,4,2,6,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,7,4,6,3,8,1,5]=>[5,1,8,3,6,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,4,8,3,1,5,6]=>[6,5,1,3,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,8,2,3,6,4,5,1]=>[1,5,4,6,3,2,8,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,4,1,2]=>1 [8,2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,7,2,5,3,8,1,6]=>[6,1,8,3,5,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,4,7,6,3,8,1,5]=>[5,1,8,3,6,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,6,5,7,1,3,8,2]=>[2,8,3,1,7,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,2,4,1,6,8,3]=>[3,8,6,1,4,2,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,6,2,1,8,7,4,3]=>[3,4,7,8,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>3 [8,5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,1,8,5,3,2,4,6]=>[6,4,2,3,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2,8]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [8,6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [7,3,1,6,4,8,2,5]=>[5,2,8,4,6,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,2,8,5,7,1,6,3]=>[3,6,1,7,5,8,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [7,2,5,8,4,6,3,1]=>[1,3,6,4,8,5,2,7]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [6,8,7,4,5,3,2,1]=>[1,2,3,5,4,7,8,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,2,2,1]=>1 [5,3,7,6,2,8,1,4]=>[4,1,8,2,6,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,2,6,7,4,8,3,1]=>[1,3,8,4,7,6,2,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [3,7,6,5,4,1,2,8]=>[8,2,1,4,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,8,1,5,2,3,7]=>[7,3,2,5,1,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,4,1,3,6,8,7]=>[7,8,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,7,8,2,3,6,4,1]=>[1,4,6,3,2,8,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [8,2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [6,4,7,5,3,2,8,1]=>[1,8,2,3,5,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [9,1,2,3,6,4,7,8,5]=>[5,8,7,4,6,3,2,1,9]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[5,3,1]=>5 [7,8,1,2,4,5,3,6]=>[6,3,5,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [1,8,5,7,3,2,6,4]=>[4,6,2,3,7,5,8,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [7,3,2,4,1,8,5,6]=>[6,5,8,1,4,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [7,2,4,3,6,1,5,8]=>[8,5,1,6,3,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,4,2,1,8,5]=>[5,8,1,2,4,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,8,3,1,5,7,2]=>[2,7,5,1,3,8,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [7,4,2,3,5,1,8,6]=>[6,8,1,5,3,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,6,5,2,4,8,7]=>[7,8,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,6,8,7,4,5,1,2]=>[2,1,5,4,7,8,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>2 [1,6,8,7,4,5,2,3]=>[3,2,5,4,7,8,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [4,5,2,8,6,3,1,7]=>[7,1,3,6,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,3,8,6,4,1,7]=>[7,1,4,6,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,4,2,8,5,3,1,6]=>[6,1,3,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,2,5,8,6,3,1,7]=>[7,1,3,6,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,8,3,4,6,2,1,7]=>[7,1,2,6,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,7,4,1,8,3,6,2]=>[2,6,3,8,1,4,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,7,3,1,6,4,2,8]=>[8,2,4,6,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,5,4,3,2,8]=>[8,2,3,4,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,4,1,3,2,6,7]=>[7,6,2,3,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,6,4,3,1,7,2,8]=>[8,2,7,1,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [9,8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [9,8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [9,8,1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1]=>7 [9,1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [2,5,1,6,4,3,8,7]=>[7,8,3,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,8,1,5,7,2,3]=>[3,2,7,5,1,8,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>3 [4,6,5,8,1,7,3,2]=>[2,3,7,1,8,5,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>2 [5,7,2,4,6,3,8,1]=>[1,8,3,6,4,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6,8]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>2 [7,4,1,5,2,8,3,6]=>[6,3,8,2,5,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1,8]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [7,4,2,6,5,3,8,1]=>[1,8,3,5,6,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [7,3,2,6,5,8,4,1]=>[1,4,8,5,6,2,3,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,4,7,3,5,8,1,6]=>[6,1,8,5,3,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,1,6,8,7,2,3]=>[3,2,7,8,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [3,4,7,2,5,8,6,1]=>[1,6,8,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [3,2,7,4,5,1,6,8]=>[8,6,1,5,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,3,5,2,4,7,1]=>[1,7,4,2,5,3,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [7,2,5,3,1,4,6,8]=>[8,6,4,1,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,7,3,5,6,1,8]=>[8,1,6,5,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,7,6,1,5,2,4]=>[4,2,5,1,6,7,8,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [2,5,1,8,6,4,7,3]=>[3,7,4,6,8,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,1,2,8,5,4,6,7]=>[7,6,4,5,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,5,8,7,3,1,4,6]=>[6,4,1,3,7,8,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [7,2,5,3,8,1,6,4]=>[4,6,1,8,3,5,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,7,4,8,5,1,6,3]=>[3,6,1,5,8,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [9,8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [5,1,3,7,4,6,8,2]=>[2,8,6,4,7,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,8,7,2,6,1,4,5]=>[5,4,1,6,2,7,8,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [5,2,8,7,4,1,3,6]=>[6,3,1,4,7,8,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [2,5,1,8,3,6,4,7]=>[7,4,6,3,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,2,8,7,1,3,6,4]=>[4,6,3,1,7,8,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,1,5,8,2,3,7,6]=>[6,7,3,2,8,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,6,1,8,3,4,5,2]=>[2,5,4,3,8,1,6,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [5,8,4,7,3,2,1,6]=>[6,1,2,3,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,3,8,6,1,2,5,7]=>[7,5,2,1,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [7,2,3,5,6,1,8,4]=>[4,8,1,6,5,3,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4,8]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,4,1,1,1]=>1 [7,2,4,5,3,1,6,8]=>[8,6,1,3,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,2,6,3,5,8,1]=>[1,8,5,3,6,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,2,4,3,6,8,1,5]=>[5,1,8,6,3,4,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,6,2,8,5,3,1,7]=>[7,1,3,5,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,4,5,8,2,7,1,3]=>[3,1,7,2,8,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,5,3,2,1,7,4,8]=>[8,4,7,1,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,1,4,5,8,2]=>[2,8,5,4,1,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,2,4,1,5,6,8,3]=>[3,8,6,5,1,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,6,7,3,4,8,2,5]=>[5,2,8,4,3,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,1,3,8,5,7,2,6]=>[6,2,7,5,8,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,7,4,6,2,1,8,5]=>[5,8,1,2,6,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,3,6,4,7,8,2]=>[2,8,7,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,1,7,8,6,2,3]=>[3,2,6,8,7,1,4,5]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,3,4,7,8,1,6,2]=>[2,6,1,8,7,4,3,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,3,7,6,5,1,8,2]=>[2,8,1,5,6,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,4,8,2,3,7,6]=>[6,7,3,2,8,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,1,2,4,5,6,9,7,8]=>[8,7,9,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [7,2,1,6,5,4,8,3]=>[3,8,4,5,6,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,3,1,5,6,4,8,2]=>[2,8,4,6,5,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,5,7,6,3,8,1,4]=>[4,1,8,3,6,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,5,7,6,3,4,2,8]=>[8,2,4,3,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,1,8,6,2,7,4]=>[4,7,2,6,8,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,8,5,6,3,7,2,1]=>[1,2,7,3,6,5,8,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [3,8,5,7,2,1,4,6]=>[6,4,1,2,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,5,7,2,6,8,3,1]=>[1,3,8,6,2,7,5,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,2,5,3,6,8,1,7]=>[7,1,8,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,8,3,4,6,5,7]=>[7,5,6,4,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,4,7,2,3,6,8]=>[8,6,3,2,7,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,4,2,5,6,7,8,9]=>[9,8,7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,5,6,7,8,4,9,10]=>[10,9,4,8,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,2,3,8,7,1,4,5]=>[5,4,1,7,8,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [8,2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [7,2,3,6,4,8,1,5]=>[5,1,8,4,6,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,3,1,6,2,7,8,4]=>[4,8,7,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,1,6,4,7,3,8]=>[8,3,7,4,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,6,2,7,8,3]=>[3,8,7,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,4,5,7,6,1,3,8]=>[8,3,1,6,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,3,8,1,4,6]=>[6,4,1,8,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,5,2,1,8,3,6]=>[6,3,8,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,2,3,8,1,5,4]=>[4,5,1,8,3,2,7,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [1,4,8,3,6,2,7,5]=>[5,7,2,6,3,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,3,2,4,8,7,1,5]=>[5,1,7,8,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [7,3,2,6,5,8,1,4]=>[4,1,8,5,6,2,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [3,6,2,5,7,4,8,1]=>[1,8,4,7,5,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,7,1,5,8,6,4,3]=>[3,4,6,8,5,1,7,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>3 [7,2,4,1,6,8,5,3]=>[3,5,8,6,1,4,2,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [6,4,7,2,3,8,5,1]=>[1,5,8,3,2,7,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,1,8,5,7,4,2,3]=>[3,2,4,7,5,8,1,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>3 [7,6,1,5,4,2,8,3]=>[3,8,2,4,5,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,1,6,8,7,2,4,3]=>[3,4,2,7,8,6,1,5]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [5,4,6,2,8,7,3,1]=>[1,3,7,8,2,6,4,5]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [4,5,8,6,7,2,3,1]=>[1,3,2,7,6,8,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,1]=>1 [4,5,7,6,1,2,8,3]=>[3,8,2,1,6,7,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,1,3,2,5,7,8]=>[8,7,5,2,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,3,4,2,6,5,7]=>[7,5,6,2,4,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,2,8,6,3,4,1,7]=>[7,1,4,3,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,4,6,7,1,8,3]=>[3,8,1,7,6,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,4,8,6,3,5,1,2]=>[2,1,5,3,6,8,4,7]=>[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [7,1,5,4,2,3,8,6]=>[6,8,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,2,4,3,6,1,8,5]=>[5,8,1,6,3,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,1,8,4,2,5,7,3]=>[3,7,5,2,4,8,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,2,8,1,4,5,7,3]=>[3,7,5,4,1,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [6,4,8,1,5,2,7,3]=>[3,7,2,5,1,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [3,7,6,8,4,1,2,5]=>[5,2,1,4,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [5,8,3,2,6,7,4,1]=>[1,4,7,6,2,3,8,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [4,8,1,6,7,2,3,5]=>[5,3,2,7,6,1,8,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [4,7,3,1,5,8,2,6]=>[6,2,8,5,1,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,6,3,5,1,8,2,7]=>[7,2,8,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5,8]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [7,8,5,2,6,1,4,3]=>[3,4,1,6,2,5,8,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,2]=>3 [7,4,1,8,3,6,5,2]=>[2,5,6,3,8,1,4,7]=>[1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [2,7,4,6,8,1,5,3]=>[3,5,1,8,6,4,7,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,5,6,7,8,9,2,4,1]=>[1,4,2,9,8,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,5]=>1 [3,4,6,7,8,2,5,1]=>[1,5,2,8,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [2,4,6,7,8,9,1,3,5]=>[5,3,1,9,8,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[5,4]=>5 [1,7,5,4,6,8,3,2]=>[2,3,8,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,2,3,7,8,6,1,4]=>[4,1,6,8,7,3,2,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,8,3,4,7,1,6,5]=>[5,6,1,7,4,3,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>5 [5,7,1,4,3,6,8,2]=>[2,8,6,3,4,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,6,8,3,4,7,2,5]=>[5,2,7,4,3,8,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,7,4,6,2,3,8,1]=>[1,8,3,2,6,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,5,8,4,2,3,7,6]=>[6,7,3,2,4,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [4,1,7,6,2,8,3,5]=>[5,3,8,2,6,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,1,8,2,7,5,3,6]=>[6,3,5,7,2,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [4,1,7,2,8,5,3,6]=>[6,3,5,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,6,3,7,4,8,1]=>[1,8,4,7,3,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,6,5,3,8,4,7,1]=>[1,7,4,8,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [7,1,6,3,5,4,8,2]=>[2,8,4,5,3,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,7,3,2,8,4,1,6]=>[6,1,4,8,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,8,6,1,7,5,3,4]=>[4,3,5,7,1,6,8,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [2,4,5,8,7,1,3,6]=>[6,3,1,7,8,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,1,8,7,5,6,4,2]=>[2,4,6,5,7,8,1,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [5,1,8,7,6,3,4,2]=>[2,4,3,6,7,8,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [1,8,7,2,6,4,5,3]=>[3,5,4,6,2,7,8,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [1,8,4,7,6,2,5,3]=>[3,5,2,6,7,4,8,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>3 [5,4,3,1,8,2,6,7]=>[7,6,2,8,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,7,2,3,6,8,5,1]=>[1,5,8,6,3,2,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>1 [6,3,8,1,4,5,7,2]=>[2,7,5,4,1,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [4,3,8,5,2,7,6,1]=>[1,6,7,2,5,8,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [1,7,3,6,8,2,5,4]=>[4,5,2,8,6,3,7,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [4,5,1,8,7,3,6,2]=>[2,6,3,7,8,1,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [6,4,2,5,7,8,1,3]=>[3,1,8,7,5,2,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [3,8,4,6,2,7,5,1]=>[1,5,7,2,6,4,8,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [3,8,5,2,6,7,4,1]=>[1,4,7,6,2,5,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [5,4,1,6,7,3,8,2]=>[2,8,3,7,6,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,6,5,4,1,8,2,7]=>[7,2,8,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,4,7,5,2,1,8]=>[8,1,2,5,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,4,1,7,3,8]=>[8,3,7,1,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,1,2,8,7,3]=>[3,7,8,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [7,6,4,1,5,8,3,2]=>[2,3,8,5,1,4,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,7,4,1,5,2,3,8]=>[8,3,2,5,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,2,6,3,1,8]=>[8,1,3,6,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [8,7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [8,6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7,8]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [4,8,3,2,6,1,7,5]=>[5,7,1,6,2,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,3,7,6,1,5,2,8]=>[8,2,5,1,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,4,3,6,1,8,2]=>[2,8,1,6,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,8,5,3,1,2,7]=>[7,2,1,3,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,6,8,4,3,7,2,1]=>[1,2,7,3,4,8,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [7,5,8,4,2,1,6,3]=>[3,6,1,2,4,8,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [1,4,8,7,6,2,5,3]=>[3,5,2,6,7,8,4,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>3 [8,5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,4,6,5,3,2,8,1]=>[1,8,2,3,5,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,6,7,2,3,8,4,1]=>[1,4,8,3,2,7,6,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [8,4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4,8]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>1 [1,7,4,2,8,5,6,3]=>[3,6,5,8,2,4,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,2,1,7,4,6,8,5]=>[5,8,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,3,1,2,4,8,5]=>[5,8,4,2,1,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,1,8,7,6,2,5,4]=>[4,5,2,6,7,8,1,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [5,2,3,6,1,8,4,7]=>[7,4,8,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,6,4,7,1,5,8]=>[8,5,1,7,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,5,7,8,4,1]=>[1,4,8,7,5,2,6,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [1,5,7,6,8,4,2,3]=>[3,2,4,8,6,7,5,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [2,7,4,6,8,5,3,1]=>[1,3,5,8,6,4,7,2]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [2,7,1,8,6,5,3,4]=>[4,3,5,6,8,1,7,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [8,1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [4,1,7,2,5,3,6,8]=>[8,6,3,5,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,1,8,6,2,7]=>[7,2,6,8,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,6,7,5,1,2,3,8]=>[8,3,2,1,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,6,1,7,2,8]=>[8,2,7,1,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,8,4,7,2,6]=>[6,2,7,4,8,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [7,2,1,4,3,6,5,9,8]=>[8,9,5,6,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [9,2,1,4,3,6,5,8,7,10]=>[10,7,8,5,6,3,4,1,2,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,4,5,3,8,1,6,2]=>[2,6,1,8,3,5,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,3,6,1,4,2,8,5]=>[5,8,2,4,1,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,2,3,8,7,1,5]=>[5,1,7,8,3,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [5,1,7,2,4,8,6,3]=>[3,6,8,4,2,7,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [5,1,3,7,8,4,6,2]=>[2,6,4,8,7,3,1,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,8,2,3,6,5,1,7]=>[7,1,5,6,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,6,4,8,3,5,1,7]=>[7,1,5,3,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,8,5,3,2,7,6]=>[6,7,2,3,5,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [3,5,8,4,6,7,1,2]=>[2,1,7,6,4,8,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [1,2,4,8,5,7,3,6]=>[6,3,7,5,8,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,3,4,1,8,2,5,6]=>[6,5,2,8,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,6,3,1,8,2,4,7]=>[7,4,2,8,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,6,5,1,8,4,2]=>[2,4,8,1,5,6,3,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [5,7,2,1,4,8,6,3]=>[3,6,8,4,1,2,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,6,3,5,2,1,8,4]=>[4,8,1,2,5,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,6,5,2,7,1,8,4]=>[4,8,1,7,2,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,5,7,4,1,8,6,2]=>[2,6,8,1,4,7,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [5,1,2,7,6,4,8,3]=>[3,8,4,6,7,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,2,6,8,7,1,5]=>[5,1,7,8,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [4,3,2,7,8,5,6,1]=>[1,6,5,8,7,2,3,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [7,5,6,4,1,8,3,2]=>[2,3,8,1,4,6,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [2,5,4,3,8,1,7,6]=>[6,7,1,8,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,1,2,8,4,6,5,7]=>[7,5,6,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,8,5,7,4,2,6,1]=>[1,6,2,4,7,5,8,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [5,4,8,3,1,2,7,6]=>[6,7,2,1,3,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,1,7,4,6,3,8,2]=>[2,8,3,6,4,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,2,8,1,3,5,4]=>[4,5,3,1,8,2,6,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [3,6,2,1,8,4,7,5]=>[5,7,4,8,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [3,5,1,7,6,4,8,2]=>[2,8,4,6,7,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7,8]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [5,4,7,6,2,1,8,3]=>[3,8,1,2,6,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,5,2,8,7,1,6,4]=>[4,6,1,7,8,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [3,7,6,5,4,1,8,2]=>[2,8,1,4,5,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,5,2,6,7,3,8,1]=>[1,8,3,7,6,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,1,8,5,3,2,6]=>[6,2,3,5,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,1,6,8,2,7,5,3]=>[3,5,7,2,8,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [5,4,1,3,8,7,6,2]=>[2,6,7,8,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [6,4,1,2,5,7,8,3]=>[3,8,7,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,5,2,7,1,3,8]=>[8,3,1,7,2,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,3,6,2,1,4,8]=>[8,4,1,2,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,7,1,8,2,5]=>[5,2,8,1,7,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,1,2,7,6,3,4,8]=>[8,4,3,6,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,6,8,1,2,7,4]=>[4,7,2,1,8,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,6,5,7,1,3,4,8]=>[8,4,3,1,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,5,3,4,1,7,8]=>[8,7,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,5,2,8,7,3]=>[3,7,8,2,5,1,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,1,8,6,2,7,4,3]=>[3,4,7,2,6,8,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [3,8,6,1,5,7,4,2]=>[2,4,7,5,1,6,8,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>2 [8,6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6,8]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>2 [6,1,3,8,5,7,4,2]=>[2,4,7,5,8,3,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [3,4,1,5,7,8,6,2]=>[2,6,8,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [3,4,1,5,8,6,7,2]=>[2,7,6,8,5,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,1,6,2,4,7,3,8]=>[8,3,7,4,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,4,7,2,5,3,8]=>[8,3,5,2,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,7,3,6,1,4,8]=>[8,4,1,6,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,4,5,1,8,2,6]=>[6,2,8,1,5,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,7,2,5,4,3,8,1]=>[1,8,3,4,5,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,7,5,6,4,1,2,8]=>[8,2,1,4,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,5,3,4,2,8]=>[8,2,4,3,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,2,3,7,1,6,8]=>[8,6,1,7,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,3,7,1,8,5,2]=>[2,5,8,1,7,3,4,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [7,3,1,6,2,4,5,8]=>[8,5,4,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,9,6,5,4,2,1,3]=>[3,1,2,4,5,6,9,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,1,1,3]=>3 [8,9,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,9,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,1,2]=>3 [8,9,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,9,8]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,1,1,2]=>1 [1,6,4,5,7,2,8,3]=>[3,8,2,7,5,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,3,5,7,8,1,2,6]=>[6,2,1,8,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,4,7,6,1,3,2,8]=>[8,2,3,1,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,6,5,8,3,2,7]=>[7,2,3,8,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,1,6,8,5,2,7]=>[7,2,5,8,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,3,1,5,7,6,2,8]=>[8,2,6,7,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,8,3,6,1,2,5,4]=>[4,5,2,1,6,3,8,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>4 [7,2,8,6,1,3,5,4]=>[4,5,3,1,6,8,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,4,3,1,6,8,2,5]=>[5,2,8,6,1,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [7,6,4,8,5,3,1,2]=>[2,1,3,5,8,4,6,7]=>[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [8,2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [2,7,3,8,5,6,4,1]=>[1,4,6,5,8,3,7,2]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [1,2,8,5,7,4,6,3]=>[3,6,4,7,5,8,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [3,8,4,5,6,7,1,2]=>[2,1,7,6,5,4,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [7,2,4,1,8,6,5,3]=>[3,5,6,8,1,4,2,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [4,7,6,1,3,2,5,8]=>[8,5,2,3,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,4,3,7,6,2,1]=>[1,2,6,7,3,4,8,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,4,1,1]=>1 [2,6,1,8,4,7,5,3]=>[3,5,7,4,8,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [3,7,6,2,1,4,8,5]=>[5,8,4,1,2,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,6,7,4,2,1,8,5]=>[5,8,1,2,4,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,8,5,6,3,7,1,2]=>[2,1,7,3,6,5,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,8,3,6,5,7,2,1]=>[1,2,7,5,6,3,8,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [4,6,2,3,7,1,8,5]=>[5,8,1,7,3,2,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,3,2,7,8,5,1]=>[1,5,8,7,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,8,6,4,2,5,3,1]=>[1,3,5,2,4,6,8,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,2,1,2]=>1 [6,4,1,7,8,3,2,5]=>[5,2,3,8,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,5,6,3,2,1,8,4]=>[4,8,1,2,3,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,6,2,3,1,8,4]=>[4,8,1,3,2,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,2,3,6,1,8,4]=>[4,8,1,6,3,2,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,8,1,2,7,5,6,4]=>[4,6,5,7,2,1,8,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [7,6,3,2,1,4,8,5]=>[5,8,4,1,2,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,2,3,4,5,7,8,9,10,1]=>[1,10,9,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [6,2,8,5,3,7,4,1]=>[1,4,7,3,5,8,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,1,3,2,5,8,4,7]=>[7,4,8,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,1,5,4,2,6,8,3]=>[3,8,6,2,4,5,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,2,8,4,3,5,7,1]=>[1,7,5,3,4,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,2,7,3,6,1,5,8]=>[8,5,1,6,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,8,5,3,7,1,4]=>[4,1,7,3,5,8,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [4,3,2,8,7,5,1,6]=>[6,1,5,7,8,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [6,4,2,1,5,7,8,3]=>[3,8,7,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,3,2,8,4,7,5,1]=>[1,5,7,4,8,2,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [6,4,3,8,7,2,5,1]=>[1,5,2,7,8,3,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>1 [5,4,7,2,1,3,8,6]=>[6,8,3,1,2,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,5,3,2,7,8,4,1]=>[1,4,8,7,2,3,5,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,7,4,6,1,5,8,2]=>[2,8,5,1,6,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,6,5,2,8,1,7]=>[7,1,8,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,3,1,4,7,2,8]=>[8,2,7,4,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,8,3,5,6,4,1]=>[1,4,6,5,3,8,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [2,3,5,8,4,7,6,1]=>[1,6,7,4,8,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>1 [8,2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,6,3,1,8,4,2,7]=>[7,2,4,8,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,3,2,8,4,5,6,1]=>[1,6,5,4,8,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [7,4,1,8,3,6,2,5]=>[5,2,6,3,8,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,1,6,4,3,8,2,5]=>[5,2,8,3,4,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,7,2,1,4,8,3,5]=>[5,3,8,4,1,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,5,7,6,4,1,8,3]=>[3,8,1,4,6,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6,8]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>1 [5,1,4,6,2,7,8,3]=>[3,8,7,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,8,3,5,1,2,7,6]=>[6,7,2,1,5,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,1,3,7,2,8,4,5]=>[5,4,8,2,7,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [3,1,5,8,2,6,7,4]=>[4,7,6,2,8,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,8,5,3,1,7,4,6]=>[6,4,7,1,3,5,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,1,3,7,5,8,4,6]=>[6,4,8,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,2,7,5,6,8,1,3]=>[3,1,8,6,5,7,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,4,7,6,5,2,3,8]=>[8,3,2,5,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,1,3,6,8,2]=>[2,8,6,3,1,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,4,1,3,7,6,5,8]=>[8,5,6,7,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,4,1,3,5,8,2]=>[2,8,5,3,1,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,2,8,3,5,6,4,1]=>[1,4,6,5,3,8,2,7]=>[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [5,6,8,1,4,7,3,2]=>[2,3,7,4,1,8,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [5,9,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,9,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>2 [7,1,3,8,6,5,2,4]=>[4,2,5,6,8,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [6,3,4,1,8,2,5,7]=>[7,5,2,8,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,1,8,7,3,6,2,4]=>[4,2,6,3,7,8,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [4,6,8,2,3,1,7,5]=>[5,7,1,3,2,8,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,4,2,1,3,7,5,8]=>[8,5,7,3,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,7,1,6,2,8,3]=>[3,8,2,6,1,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,5,8,7,6,2,1,3]=>[3,1,2,6,7,8,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [6,7,1,2,5,8,4,3]=>[3,4,8,5,2,1,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [1,8,3,7,6,2,5,4]=>[4,5,2,6,7,3,8,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [1,3,8,2,5,6,4,7]=>[7,4,6,5,2,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,3,2,7,4,6,8,5]=>[5,8,6,4,7,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,4,3,5,1,7,2,8]=>[8,2,7,1,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,3,8,2,6,7,1]=>[1,7,6,2,8,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,2,5,8,6,7,3,1]=>[1,3,7,6,8,5,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>1 [8,2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [5,8,4,6,2,7,3,1]=>[1,3,7,2,6,4,8,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [6,1,3,8,5,4,2,7]=>[7,2,4,5,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [3,6,1,2,5,4,7,8]=>[8,7,4,5,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,4,2,1,7,3,8]=>[8,3,7,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,7,6,5,3,8,1]=>[1,8,3,5,6,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,2,7,6,5,1,8,4]=>[4,8,1,5,6,7,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,7,6,4,8,5,1]=>[1,5,8,4,6,7,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [2,5,7,6,3,8,4,1]=>[1,4,8,3,6,7,5,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [4,5,7,8,6,2,3,1]=>[1,3,2,6,8,7,5,4]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [6,4,7,1,2,5,3,8]=>[8,3,5,2,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,7,5,4,1,8,2]=>[2,8,1,4,5,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,8,5,2,1,4,3,7]=>[7,3,4,1,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,2,8,5,7,4,1,6]=>[6,1,4,7,5,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4,8]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>3 [1,6,5,2,7,8,3,4]=>[4,3,8,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,2,7,5,8,6,3,4]=>[4,3,6,8,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [1,6,2,5,7,8,4,3]=>[3,4,8,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [7,4,5,1,6,8,2,3]=>[3,2,8,6,1,5,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,6,4,5,2,7,8,3]=>[3,8,7,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,7,8,4,2,6,3,5]=>[5,3,6,2,4,8,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [6,3,2,5,7,4,1,8]=>[8,1,4,7,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,2,6,8,1,5]=>[5,1,8,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,2,8,4,6,3,1,7]=>[7,1,3,6,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,4,7,5,3,1,2,8]=>[8,2,1,3,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,4,5,8,3,7]=>[7,3,8,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,4,8,5,2,7,3,1]=>[1,3,7,2,5,8,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>1 [5,2,6,3,1,8,4,7]=>[7,4,8,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,2,3,1,8,4,5,7]=>[7,5,4,8,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,4,2,7,1,3,8,6]=>[6,8,3,1,7,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,7,1,5,2,4,8,6]=>[6,8,4,2,5,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,2,1,7,4,6,3,8]=>[8,3,6,4,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,5,8,3,2,4,6]=>[6,4,2,3,8,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [1,3,8,5,7,2,4,6]=>[6,4,2,7,5,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,2,8,5,6,4,1,7]=>[7,1,4,6,5,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,8,2,5,6,4,1,7]=>[7,1,4,6,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,2,6,8,7,1,4,3]=>[3,4,1,7,8,6,2,5]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [8,1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [6,2,1,5,3,7,8,4]=>[4,8,7,3,5,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,7,4,3,1,5,8,6]=>[6,8,5,1,3,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,8,1,6,2,7,4,5]=>[5,4,7,2,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>2 [1,5,8,3,2,6,4,7]=>[7,4,6,2,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,2,5,1,3,8,7,4]=>[4,7,8,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [6,4,2,1,7,3,5,8]=>[8,5,3,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,4,2,1,3,6,7]=>[7,6,3,1,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,3,6,7,8,9,1,2]=>[2,1,9,8,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>2 [5,3,4,6,7,8,9,1,2]=>[2,1,9,8,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>2 [2,1,7,9,8,6,5,4,3]=>[3,4,5,6,8,9,7,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,1,1,2,1]=>3 [6,3,5,7,1,8,2,4]=>[4,2,8,1,7,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,4,2,5,7,8,3,1]=>[1,3,8,7,5,2,4,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [7,4,1,2,3,6,5,8]=>[8,5,6,3,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,1,6,3,4,5,8]=>[8,5,4,3,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,2,4,1,5,8]=>[8,5,1,4,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,2,3,6,8,7]=>[7,8,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,2,4,3,1,8,5,6]=>[6,5,8,1,3,4,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,8,5,1,6,3,4]=>[4,3,6,1,5,8,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [2,7,8,3,5,1,6,4]=>[4,6,1,5,3,8,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [2,3,7,8,5,6,4,1]=>[1,4,6,5,8,7,3,2]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [2,3,7,5,8,1,6,4]=>[4,6,1,8,5,7,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [2,3,7,5,8,6,4,1]=>[1,4,6,8,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>1 [4,3,1,7,8,2,5,6]=>[6,5,2,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,7,8,1,3,6,4]=>[4,6,3,1,8,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [2,5,7,8,3,6,4,1]=>[1,4,6,3,8,7,5,2]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [6,1,3,5,7,8,2,4]=>[4,2,8,7,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,8,1,6,4,7,2,3]=>[3,2,7,4,6,1,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [2,4,7,5,1,8,6,3]=>[3,6,8,1,5,7,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [2,3,7,1,8,5,6,4]=>[4,6,5,8,1,7,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [7,4,5,8,1,3,2,6]=>[6,2,3,1,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,8,1,2,5,4,3,6]=>[6,3,4,5,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [8,1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1,8]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [4,2,7,8,6,5,3,1]=>[1,3,5,6,8,7,2,4]=>[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,2,1,2]=>1 [3,1,2,7,6,5,4,8]=>[8,4,5,6,7,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,7,1,6,5,3,8]=>[8,3,5,6,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,6,8,4,2,3]=>[3,2,4,8,6,1,7,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,4,7,6,5,8,1,2]=>[2,1,8,5,6,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [3,8,5,1,6,4,7,2]=>[2,7,4,6,1,5,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,1,5,3,6,2,7,8]=>[8,7,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,7,4,8,6,2]=>[2,6,8,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,2,6,4,1,5,3,8]=>[8,3,5,1,4,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,6,5,8,3,7,4]=>[4,7,3,8,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [7,3,5,6,1,4,2,8]=>[8,2,4,1,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,6,8,5,2,3]=>[3,2,5,8,6,1,7,4]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [1,7,3,8,2,5,4,6]=>[6,4,5,2,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [8,4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [1,8,4,6,2,3,5,7]=>[7,5,3,2,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,6,1,3,7,5,8,4]=>[4,8,5,7,3,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,5,1,7,6,3,8,4]=>[4,8,3,6,7,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,8,2,4,6,1,7,3]=>[3,7,1,6,4,2,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,4,7,8,5,2,6,3]=>[3,6,2,5,8,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [5,7,1,6,4,2,8,3]=>[3,8,2,4,6,1,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,7,1,6,5,8,4,3]=>[3,4,8,5,6,1,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [2,3,6,1,7,5,4,8]=>[8,4,5,7,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,4,8,6,5,3]=>[3,5,6,8,4,1,7,2]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>3 [6,7,5,4,1,3,2,8]=>[8,2,3,1,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,3,2,1,4,8,6]=>[6,8,4,1,2,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,8,6,3,2,4,7,1]=>[1,7,4,2,3,6,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,2,7,1,4,3,5,8]=>[8,5,3,4,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,8,5,3,1,4]=>[4,1,3,5,8,2,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,1,2,3,8,4,6,5]=>[5,6,4,8,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [4,1,3,5,2,7,6,8]=>[8,6,7,2,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,7,2,8,6,3]=>[3,6,8,2,7,5,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [9,3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [4,5,6,2,8,7,1,3]=>[3,1,7,8,2,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,2,8,5,4,3,7,1]=>[1,7,3,4,5,8,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,7,4,8,6,5,2,1]=>[1,2,5,6,8,4,7,3]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,3,1,2]=>1 [3,8,6,5,4,2,7,1]=>[1,7,2,4,5,6,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [5,8,4,7,6,1,2,3]=>[3,2,1,6,7,4,8,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [8,3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3,8]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>4 [4,8,5,7,3,2,6,1]=>[1,6,2,3,7,5,8,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [2,6,7,4,8,1,5,3]=>[3,5,1,8,4,7,6,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [2,8,6,5,4,1,3,7]=>[7,3,1,4,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [7,3,2,6,5,1,4,8]=>[8,4,1,5,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,6,8,3,7,1]=>[1,7,3,8,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,6,5,8,7,1,4,3]=>[3,4,1,7,8,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [2,6,8,4,7,1,3,5]=>[5,3,1,7,4,8,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [5,4,2,8,1,6,7,3]=>[3,7,6,1,8,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [5,2,8,6,3,1,4,7]=>[7,4,1,3,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,4,8,1,2,6,5,3]=>[3,5,6,2,1,8,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [1,6,4,8,2,3,5,7]=>[7,5,3,2,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,6,8,3,7,5,4,2]=>[2,4,5,7,3,8,6,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,2,1,2,1]=>2 [7,3,6,5,1,8,2,4]=>[4,2,8,1,5,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,2,4,1,8,6,3,5]=>[5,3,6,8,1,4,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,6,8,2,7,3,5,4]=>[4,5,3,7,2,8,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>4 [4,8,7,2,1,3,6,5]=>[5,6,3,1,2,7,8,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [5,8,1,3,7,4,6,2]=>[2,6,4,7,3,1,8,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [5,4,8,1,7,2,3,6]=>[6,3,2,7,1,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [2,9,8,7,6,5,4,3,1,10]=>[10,1,3,4,5,6,7,8,9,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,7,8,2,5,1,6,4]=>[4,6,1,5,2,8,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [6,3,7,8,1,2,5,4]=>[4,5,2,1,8,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [7,6,1,5,2,3,8,4]=>[4,8,3,2,5,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,7,8,2,4,1,5,3]=>[3,5,1,4,2,8,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [6,4,1,3,7,8,5,2]=>[2,5,8,7,3,1,4,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [2,8,3,7,5,4,6,1]=>[1,6,4,5,7,3,8,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [6,8,5,4,3,7,1,2]=>[2,1,7,3,4,5,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [1,8,3,2,7,4,5,6]=>[6,5,4,7,2,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>6 [1,8,6,7,4,3,5,2]=>[2,5,3,4,7,6,8,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>2 [3,7,2,1,6,5,8,4]=>[4,8,5,6,1,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,6,3,4,2,8,5,7]=>[7,5,8,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,4,2,1,6,3,8,5]=>[5,8,3,6,1,2,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,3,6,8,4,2,7]=>[7,2,4,8,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,5,4,2,8,7,3,1]=>[1,3,7,8,2,4,5,6]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [3,6,5,2,1,7,8,4]=>[4,8,7,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,2,8,1,4,6,5]=>[5,6,4,1,8,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [4,5,8,3,6,2,1,7]=>[7,1,2,6,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,7,1,2,6,4,8]=>[8,4,6,2,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,4,5,6,2,3,8]=>[8,3,2,6,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,6,8,1,4,7,3]=>[3,7,4,1,8,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [7,4,1,6,5,2,3,8]=>[8,3,2,5,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,5,2,3,8,7]=>[7,8,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,1,7,8,6,2,3]=>[3,2,6,8,7,1,5,4]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [8,5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5,8]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,4,1,1]=>1 [6,8,7,4,3,5,2,1]=>[1,2,5,3,4,7,8,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,3,2,1]=>1 [6,8,7,5,3,4,2,1]=>[1,2,4,3,5,7,8,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,2,1,2,1]=>1 [5,8,6,2,4,7,3,1]=>[1,3,7,4,2,6,8,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [4,8,6,2,5,7,3,1]=>[1,3,7,5,2,6,8,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [1,6,5,3,2,7,4,8]=>[8,4,7,2,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,8,7,4,5,3,2]=>[2,3,5,4,7,8,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,2,2,1]=>2 [1,4,7,5,3,2,6,8]=>[8,6,2,3,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,7,5,3,2,8,6]=>[6,8,2,3,5,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,7,4,6,8,5,3,2]=>[2,3,5,8,6,4,7,1]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [6,8,7,2,3,5,4,1]=>[1,4,5,3,2,7,8,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>1 [5,7,6,1,8,2,4,3]=>[3,4,2,8,1,6,7,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [4,8,6,5,7,2,3,1]=>[1,3,2,7,5,6,8,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,4,1]=>1 [5,3,7,6,2,8,4,1]=>[1,4,8,2,6,7,3,5]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,4,3,7,6,8,1,5]=>[5,1,8,6,7,3,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,1,6,4,3,7,8,2]=>[2,8,7,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [1,5,4,7,8,2,6,3]=>[3,6,2,8,7,4,5,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,4,2,9,8,7,6,5,3]=>[3,5,6,7,8,9,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1,1]=>3 [5,3,1,9,8,7,6,4,2]=>[2,4,6,7,8,9,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,2,2,1,1,1]=>2 [7,5,2,1,8,4,3,6]=>[6,3,4,8,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,1,2,4,8,3,5,6]=>[6,5,3,8,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,6,8,5,1,4,2,7]=>[7,2,4,1,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,2,4,1,6,8,3,7]=>[7,3,8,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,3,2,5,4,7,9,6,8]=>[8,6,9,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [1,3,2,5,7,4,9,6,8]=>[8,6,9,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [1,2,5,3,7,4,9,6,8]=>[8,6,9,4,7,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [1,3,2,6,4,8,5,10,7,9]=>[9,7,10,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,5,3,6,4,9,7,8]=>[8,7,9,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [1,3,2,5,4,8,6,10,7,9]=>[9,7,10,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,3,7,5,8,6,9]=>[9,6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,3,2,5,4,7,6,10,8,9]=>[9,8,10,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,5,3,4,6,8,1,7]=>[7,1,8,6,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,7,1,2,5,6,3,8]=>[8,3,6,5,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,3,1,8,2,4,5]=>[5,4,2,8,1,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,3,1,4,6,2,8,5]=>[5,8,2,6,4,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,4,1,2,5,6,3,8]=>[8,3,6,5,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,3,6,8,7,2]=>[2,7,8,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,7,4,8,1,6,3,2]=>[2,3,6,1,8,4,7,5]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [5,7,3,4,6,2,1,8]=>[8,1,2,6,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,5,6,2,4,1,8]=>[8,1,4,2,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,5,6,1,4,8]=>[8,4,1,6,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,1,4,7,2,8]=>[8,2,7,4,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3,8]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [2,7,3,8,5,4,1,6]=>[6,1,4,5,8,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [8,3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3,8]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>2 [8,2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2,8]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,3,2,1,1]=>1 [4,3,6,7,5,1,8,2]=>[2,8,1,5,7,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,1,2,7,4,3,6,8]=>[8,6,3,4,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,1,2,8,4,7]=>[7,4,8,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,3,8,4,6,1,2,7]=>[7,2,1,6,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,3,1,8,4,2,6,7]=>[7,6,2,4,8,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,1,4,6,8,2,7]=>[7,2,8,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,4,1,6,8,7,2,3]=>[3,2,7,8,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,1,6,7,2,8,5,3]=>[3,5,8,2,7,6,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [4,5,2,7,8,3,1,6]=>[6,1,3,8,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,6,7,8,2,5,4,1]=>[1,4,5,2,8,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [4,7,8,2,6,3,5,1]=>[1,5,3,6,2,8,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [4,5,8,2,7,1,3,6]=>[6,3,1,7,2,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [3,2,5,6,7,1,8,4]=>[4,8,1,7,6,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,1,7,6,3,2,4,8]=>[8,4,2,3,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,7,5,1,8,3,4,2]=>[2,4,3,8,1,5,7,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [6,7,8,5,1,3,4,2]=>[2,4,3,1,5,8,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>2 [8,7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7,8]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [6,8,2,3,1,7,4,5]=>[5,4,7,1,3,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,1,6,2,7,8,5,4]=>[4,5,8,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [6,2,3,7,1,8,5,4]=>[4,5,8,1,7,3,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [5,3,2,8,7,1,6,4]=>[4,6,1,7,8,2,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [4,8,3,2,6,5,7,1]=>[1,7,5,6,2,3,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [2,6,3,8,5,4,7,1]=>[1,7,4,5,8,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,1,3,2,5,8,7,4]=>[4,7,8,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [6,8,4,2,5,3,7,1]=>[1,7,3,5,2,4,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,8,4,3,5,2,7,1]=>[1,7,2,5,3,4,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [7,3,5,6,1,8,2,4]=>[4,2,8,1,6,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,6,7,2,3,5,8,1]=>[1,8,5,3,2,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,8,4,1,7,5,6,2]=>[2,6,5,7,1,4,8,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>2 [4,5,2,1,3,6,8,7]=>[7,8,6,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,6,1,5,2,3,7,8]=>[8,7,3,2,5,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,9,8,7,6,4,3,2,1,10]=>[10,1,2,3,4,6,7,8,9,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,8,7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7,8,9]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>2 [7,2,4,6,8,1,5,3]=>[3,5,1,8,6,4,2,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,8,2,6,1,7,4,5]=>[5,4,7,1,6,2,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [4,3,7,8,5,2,6,1]=>[1,6,2,5,8,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [5,6,1,8,4,2,3,7]=>[7,3,2,4,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,1,7,6,2,4,3,8]=>[8,3,4,2,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,4,1,7,5,8]=>[8,5,7,1,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,1,3,5,8,4]=>[4,8,5,3,1,2,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,4,3,8,7,2,1,6]=>[6,1,2,7,8,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,8,1,6,4,5,7,2]=>[2,7,5,4,6,1,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [3,7,1,4,2,5,6,8]=>[8,6,5,2,4,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,1,2,8,7,3]=>[3,7,8,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [2,6,3,4,1,5,7,8]=>[8,7,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,8,7,2,3,1,6]=>[6,1,3,2,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,6,1,3,7,8,2,4]=>[4,2,8,7,3,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,6,4,5,8,7,1,3]=>[3,1,7,8,5,4,6,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,3,1,8,7,4,5,2]=>[2,5,4,7,8,1,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [1,3,6,8,7,4,5,2]=>[2,5,4,7,8,6,3,1]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [5,7,1,3,6,2,4,8]=>[8,4,2,6,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,2,3,6,8,1]=>[1,8,6,3,2,5,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,6,4,1,2,5,7,8]=>[8,7,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,1,3,2,5,8,6]=>[6,8,5,2,3,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,7,1,3,2,6,8,5]=>[5,8,6,2,3,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,7,1,3,6,2,8,4]=>[4,8,2,6,3,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,8,2,5,7,3,1,4]=>[4,1,3,7,5,2,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [4,8,5,2,3,6,1,7]=>[7,1,6,3,2,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,8,6,3,4,7,2,1]=>[1,2,7,4,3,6,8,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [3,7,5,4,2,8,1,6]=>[6,1,8,2,4,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,6,5,1,7,8,2,3]=>[3,2,8,7,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,7,1,3,2,8,5,6]=>[6,5,8,2,3,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,6,5,1,8,2,4,7]=>[7,4,2,8,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,8,7,3,4,2,6,1]=>[1,6,2,4,3,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [5,2,8,1,6,7,4,3]=>[3,4,7,6,1,8,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>3 [5,7,8,4,2,1,6,3]=>[3,6,1,2,4,8,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>3 [1,4,6,8,7,5,2,3]=>[3,2,5,7,8,6,4,1]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [6,4,3,8,7,5,2,1]=>[1,2,5,7,8,3,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,3,2,1]=>1 [8,7,6,5,4,1,9,3,2]=>[2,3,9,1,4,5,6,7,8]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,6]=>2 [8,7,6,5,2,9,1,3,4]=>[4,3,1,9,2,5,6,7,8]=>[1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[4,5]=>4 [8,7,6,5,1,9,4,3,2]=>[2,3,4,9,1,5,6,7,8]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,1,5]=>2 [4,7,2,3,5,8,6,1]=>[1,6,8,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,7,2,6,8,5,3,1]=>[1,3,5,8,6,2,7,4]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [3,7,2,4,5,8,6,1]=>[1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [4,5,8,3,2,6,7,1]=>[1,7,6,2,3,8,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,8,5,2,7,4,6,1]=>[1,6,4,7,2,5,8,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [4,2,7,6,8,5,3,1]=>[1,3,5,8,6,7,2,4]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [6,3,1,5,4,8,2,7]=>[7,2,8,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,7,6,3,5,2,8,1]=>[1,8,2,5,3,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,8,2,3,4,7,6,1]=>[1,6,7,4,3,2,8,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [8,7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [8,3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [5,3,1,6,4,8,7,2]=>[2,7,8,4,6,1,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [3,4,8,5,7,2,6,1]=>[1,6,2,7,5,8,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>1 [2,8,3,5,1,7,6,4]=>[4,6,7,1,5,3,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>4 [2,3,8,6,1,7,5,4]=>[4,5,7,1,6,8,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>4 [8,5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5,8]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,1,1]=>3 [5,6,7,1,2,4,8,3]=>[3,8,4,2,1,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,1,6,8,3,2,5,4]=>[4,5,2,3,8,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [2,7,1,6,4,3,8,5]=>[5,8,3,4,6,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [9,5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5,9]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1,1]=>6 [9,3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3,9]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1,1]=>4 [6,5,4,3,2,1,9,7,8]=>[8,7,9,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [10,5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5,10]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1,1,1]=>6 [10,4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4,10]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1,1,1]=>5 [2,1,9,3,8,7,6,5,4]=>[4,5,6,7,8,3,9,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>4 [3,7,8,5,6,2,4,1]=>[1,4,2,6,5,8,7,3]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,2]=>1 [1,2,3,4,5,8,6,7,9,10]=>[10,9,7,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,2,3,8,4,5,6,7,9,10]=>[10,9,7,6,5,4,8,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,4,5,7,1,6,2,8]=>[8,2,6,1,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,6,1,8,3,7,2]=>[2,7,3,8,1,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [3,5,8,2,1,7,6,4]=>[4,6,7,1,2,8,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [4,5,7,3,8,1,2,6]=>[6,2,1,8,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [7,4,3,6,2,5,8,1]=>[1,8,5,2,6,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,7,5,8,6,2,4,3]=>[3,4,2,6,8,5,7,1]=>[1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>3 [5,3,6,1,8,4,7,2]=>[2,7,4,8,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [4,2,1,8,5,7,6,3]=>[3,6,7,5,8,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,2,8,6,3,7,1,5]=>[5,1,7,3,6,8,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [7,2,6,4,8,5,1,3]=>[3,1,5,8,4,6,2,7]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [10,9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,2,1,1,1]=>1 [5,2,6,4,3,7,1,8]=>[8,1,7,3,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,7,4,2,6,5,8]=>[8,5,6,2,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,5,1,4,8,2]=>[2,8,4,1,5,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,5,4,1,7,2,3,8]=>[8,3,2,7,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,2,1,8,3,7]=>[7,3,8,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,6,5,7,4,3,2,1,9]=>[9,1,2,3,4,7,5,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,6,5,3,2,1,4,8,9]=>[9,8,4,1,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,8,7,6,4,3,2,5,1,10]=>[10,1,5,2,3,4,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8,9]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,2,1,1,1,1]=>1 [9,8,7,6,4,3,5,2,1,10]=>[10,1,2,5,3,4,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1,1]=>1 [5,4,7,3,8,6,2,1]=>[1,2,6,8,3,7,4,5]=>[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>1 [2,7,5,6,1,3,8,4]=>[4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,2,5,8,6,1,3]=>[3,1,6,8,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [8,2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [5,1,8,6,3,7,2,4]=>[4,2,7,3,6,8,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [8,1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [8,3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [3,1,4,7,5,2,6,8]=>[8,6,2,5,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,4,6,2,3,5,8]=>[8,5,3,2,6,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,4,3,5,8,2,7]=>[7,2,8,5,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,3,7,8,6,2]=>[2,6,8,7,3,4,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [6,4,1,5,8,2,3,7]=>[7,3,2,8,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,7,6,2,1,8,4,3]=>[3,4,8,1,2,6,7,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>3 [5,8,1,6,3,2,7,4]=>[4,7,2,3,6,1,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [2,7,6,3,5,1,8,4]=>[4,8,1,5,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,7,6,3,4,2,1,8]=>[8,1,2,4,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,7,3,4,2,6,8]=>[8,6,2,4,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,4,7,1,3,8]=>[8,3,1,7,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,8,1,3,6,2,4]=>[4,2,6,3,1,8,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,9,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,9,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,1,2,1]=>2 [8,7,6,5,4,2,3,1,9]=>[9,1,3,2,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,9,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,9,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,1,1,1,2,1]=>1 [3,4,1,7,2,6,5,8]=>[8,5,6,2,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,3,5,1,6,7,4]=>[4,7,6,1,5,3,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,3,6,1,2,7,8,5]=>[5,8,7,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,7,6,2,5,1,8,4]=>[4,8,1,5,2,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,4,1,8,7,2,5,6]=>[6,5,2,7,8,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [2,7,8,6,4,3,1,5]=>[5,1,3,4,6,8,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [2,7,4,3,6,1,5,8]=>[8,5,1,6,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,2,5,3,1,6,8]=>[8,6,1,3,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,5,3,2,8,7]=>[7,8,2,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [7,8,3,5,1,6,2,4]=>[4,2,6,1,5,3,8,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [5,1,7,8,2,6,3,4]=>[4,3,6,2,8,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [6,5,7,3,2,1,8,4]=>[4,8,1,2,3,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,3,2,6,4,5,8,1]=>[1,8,5,4,6,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,3,1,6,4,5,8,2]=>[2,8,5,4,6,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,5,8,7,1,4,6,3]=>[3,6,4,1,7,8,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>3 [5,3,8,7,1,4,6,2]=>[2,6,4,1,7,8,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [5,1,4,3,6,8,2,7]=>[7,2,8,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,8,6,5,1,3,2,7]=>[7,2,3,1,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,6,1,8,3,2,7]=>[7,2,3,8,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,8,6,5,2,3,1,7]=>[7,1,3,2,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,6,2,8,3,1,7]=>[7,1,3,8,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,2,6,1,3,5,8,4]=>[4,8,5,3,1,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,7,1,5,8,3,4]=>[4,3,8,5,1,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,8,5,3,2,4,7,1]=>[1,7,4,2,3,5,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [7,3,6,1,5,2,8,4]=>[4,8,2,5,1,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,8,6,2,4,7,5,3]=>[3,5,7,4,2,6,8,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>3 [4,1,6,3,2,8,7,5]=>[5,7,8,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [2,8,7,5,1,4,6,3]=>[3,6,4,1,5,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [5,7,3,6,4,2,1,8]=>[8,1,2,4,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,2,2]=>3 [8,9,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,9,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[3,4,2]=>3 [10,8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8,10]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,2,2,1]=>3 [9,6,8,7,5,2,4,3,1,10]=>[10,1,3,4,2,5,7,8,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [6,2,5,3,8,1,7,4]=>[4,7,1,8,3,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,3,2,6,7,8,1,4]=>[4,1,8,7,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,4,6,5,3,2,1,8]=>[8,1,2,3,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,3,4,2,8,6]=>[6,8,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,8,5,7,3,4,6,1]=>[1,6,4,3,7,5,8,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [8,5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,1,5,3,4,2,7,8]=>[8,7,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,6,4,7,1,8]=>[8,1,7,4,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,4,5,3,2,1,7]=>[7,1,2,3,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,7,4,3,6,5,1]=>[1,5,6,3,4,7,8,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [4,8,1,3,5,2,6,7]=>[7,6,2,5,3,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,7,2,3,5,8,1,4]=>[4,1,8,5,3,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,4,5,8,2,3,1,6]=>[6,1,3,2,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,1,3,8,5,4,6,7]=>[7,6,4,5,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,3,6,8,2,4,1,7]=>[7,1,4,2,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,1,2,5,3,8,4,6]=>[6,4,8,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,5,2,6,8,7,1,3]=>[3,1,7,8,6,2,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,1,2,4,3,6,7,8,9]=>[9,8,7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,1,2,3,4,6,5,8,9]=>[9,8,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,7,6,4,9,3,2,1,5]=>[5,1,2,3,9,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,4]=>5 [6,7,5,2,1,4,3,8]=>[8,3,4,1,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,5,4,3,8,1]=>[1,8,3,4,5,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,1,2,5,7,8,6,3]=>[3,6,8,7,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [7,8,2,6,5,4,3,1]=>[1,3,4,5,6,2,8,7]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,1,1,1,2]=>1 [7,3,6,8,1,5,4,2]=>[2,4,5,1,8,6,3,7]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [3,4,6,7,2,5,1,8]=>[8,1,5,2,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,8,2,3,4,1,7]=>[7,1,4,3,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,7,2,4,8,5,6,3]=>[3,6,5,8,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,8,2,3,7,4,6,1]=>[1,6,4,7,3,2,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>1 [7,8,2,3,5,4,6,1]=>[1,6,4,5,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>1 [8,4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [1,7,6,8,4,5,3,2]=>[2,3,5,4,8,6,7,1]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>2 [3,8,5,2,1,6,7,4]=>[4,7,6,1,2,5,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [4,3,8,6,1,5,7,2]=>[2,7,5,1,6,8,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [2,6,3,4,8,5,7,1]=>[1,7,5,8,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [1,5,3,4,2,8,6,7]=>[7,6,8,2,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,4,1,5,7,8,2,3]=>[3,2,8,7,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>5 [7,1,8,6,4,2,3,5]=>[5,3,2,4,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>5 [8,6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [1,8,2,4,6,5,7,3]=>[3,7,5,6,4,2,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>3 [1,8,2,6,4,3,7,5]=>[5,7,3,4,6,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [1,8,5,7,4,6,3,2]=>[2,3,6,4,7,5,8,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>2 [1,4,7,6,8,3,5,2]=>[2,5,3,8,6,7,4,1]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [1,7,2,8,6,5,3,4]=>[4,3,5,6,8,2,7,1]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [5,7,1,6,4,2,3,8]=>[8,3,2,4,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,8,2,7,5,1,6,3]=>[3,6,1,5,7,2,8,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>3 [2,8,4,6,7,1,5,3]=>[3,5,1,7,6,4,8,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [3,8,5,1,4,2,6,7]=>[7,6,2,4,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,7,1]=>1 [3,8,7,1,4,6,2,5]=>[5,2,6,4,1,7,8,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [4,7,6,2,3,5,8,1]=>[1,8,5,3,2,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,7,1,6,2,5,8,3]=>[3,8,5,2,6,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,2,4,5,3,8,6,1]=>[1,6,8,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [6,3,5,7,8,4,1,2]=>[2,1,4,8,7,5,3,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [7,6,3,5,4,8,2,1]=>[1,2,8,4,5,3,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,2,6,8,3,7,5,1]=>[1,5,7,3,8,6,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>1 [5,4,8,1,3,6,2,7]=>[7,2,6,3,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,4,2,5,7,1,6,8]=>[8,6,1,7,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,4,6,1,7,5,8]=>[8,5,7,1,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,6,2,1,5,4,8]=>[8,4,5,1,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,6,7,4,2,8,3]=>[3,8,2,4,7,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,1,7,8,3,5,4,2]=>[2,4,5,3,8,7,1,6]=>[1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [6,4,1,3,5,7,8,2]=>[2,8,7,5,3,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,5,7,8,6,1,2]=>[2,1,6,8,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,4,3,6,1,5,8,2]=>[2,8,5,1,6,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,1,3,5,7,8,4]=>[4,8,7,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,3,7,6,1,4,5,8]=>[8,5,4,1,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,2,1,3,5,6,4]=>[4,6,5,3,1,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>4 [3,6,2,1,5,7,8,4]=>[4,8,7,5,1,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [4,5,6,8,2,1,3,7]=>[7,3,1,2,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2,8]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [5,2,7,1,6,3,8,4]=>[4,8,3,6,1,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,3,5,7,2,6,8]=>[8,6,2,7,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,3,2,5,4,8]=>[8,4,5,2,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,8,1,4,7,5]=>[5,7,4,1,8,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,5,8,3,7,2,4,6]=>[6,4,2,7,3,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [5,8,2,6,7,3,1,4]=>[4,1,3,7,6,2,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>4 [4,7,2,3,6,1,5,8]=>[8,5,1,6,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,3,7,6,8,2,4]=>[4,2,8,6,7,3,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,6,8,7,2,5,4,3]=>[3,4,5,2,7,8,6,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>3 [3,4,1,6,5,2,8,7]=>[7,8,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,3,1,6,7,2,8,4]=>[4,8,2,7,6,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,8,5,3,7,6,2]=>[2,6,7,3,5,8,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [5,1,6,8,7,4,3,2]=>[2,3,4,7,8,6,1,5]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,3,1]=>2 [3,8,2,4,5,6,1,7]=>[7,1,6,5,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,4,8,7,6,3,5,2]=>[2,5,3,6,7,8,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [8,1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [4,5,8,6,2,3,1,7]=>[7,1,3,2,6,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,4,7,1,8,2,3,6]=>[6,3,2,8,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [4,3,2,7,6,8,1,5]=>[5,1,8,6,7,2,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,8,3,2,1,6,5,7]=>[7,5,6,1,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,4,3,2,7,5,6,8]=>[8,6,5,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,2,8,6,7,1,5]=>[5,1,7,6,8,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [4,3,1,2,5,7,8,6]=>[6,8,7,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,5,3,6,1,4,8,7]=>[7,8,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,5,2,7,1,8,3,6]=>[6,3,8,1,7,2,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,1,8,4,5,2,7,6]=>[6,7,2,5,4,8,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,8,4,2,1,3,7,6]=>[6,7,3,1,2,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [9,8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8,9]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>2 [9,7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,1,1,2,1]=>2 [6,4,5,3,8,7,1,2]=>[2,1,7,8,3,5,4,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>2 [1,6,4,5,8,7,3,2]=>[2,3,7,8,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [6,2,8,7,5,3,1,4]=>[4,1,3,5,7,8,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [6,8,7,4,5,3,1,2]=>[2,1,3,5,4,7,8,6]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,2,2,1]=>2 [6,5,8,4,7,2,1,3]=>[3,1,2,7,4,8,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>3 [4,8,6,2,5,7,1,3]=>[3,1,7,5,2,6,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [8,1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1,8]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,6,2,3,8,7,1,5]=>[5,1,7,8,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [6,4,2,8,5,7,1,3]=>[3,1,7,5,8,2,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3,8]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>1 [4,6,1,3,5,8,2,7]=>[7,2,8,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,5,1,3,8,7,2,6]=>[6,2,7,8,3,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [6,2,7,1,8,3,4,5]=>[5,4,3,8,1,7,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [6,4,5,8,1,7,2,3]=>[3,2,7,1,8,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [6,2,8,5,1,4,7,3]=>[3,7,4,1,5,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [2,4,7,6,1,8,3,5]=>[5,3,8,1,6,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [10,8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,1,2,1]=>1 [7,4,5,8,6,3,2,1]=>[1,2,3,6,8,5,4,7]=>[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,3,2]=>1 [7,6,5,9,4,3,2,1,8]=>[8,1,2,3,4,9,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [7,6,5,4,3,9,2,1,8]=>[8,1,2,9,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [8,7,10,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,10,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,1]=>9 [3,4,2,6,8,5,7,1]=>[1,7,5,8,6,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [9,8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8,9]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1,1]=>1 [1,6,7,5,3,2,8,4]=>[4,8,2,3,5,7,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,4,1,3,6,8,2,5]=>[5,2,8,6,3,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,6,2,8,7,3,4,5]=>[5,4,3,7,8,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [8,6,7,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,7,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,6,8,5,7,4,3,2]=>[2,3,4,7,5,8,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,1,3,1]=>2 [3,2,1,6,4,5,8,7]=>[7,8,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,2,4,5,7,1,8,6]=>[6,8,1,7,5,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,4,6,1,7,8,5]=>[5,8,7,1,6,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,4,6,1,8,5,7]=>[7,5,8,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,6,2,4,7,5,8,1]=>[1,8,5,7,4,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,1,4,2,8,6,3,5]=>[5,3,6,8,2,4,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,1,3,6,8,4,5,2]=>[2,5,4,8,6,3,1,7]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [1,6,3,5,8,7,4,2]=>[2,4,7,8,5,3,6,1]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [7,3,2,6,8,4,5,1]=>[1,5,4,8,6,2,3,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [4,3,2,8,7,5,6,1]=>[1,6,5,7,8,2,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [5,2,4,8,7,3,6,1]=>[1,6,3,7,8,4,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [5,1,4,2,6,3,7,8]=>[8,7,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,4,6,3,5,8]=>[8,5,3,6,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,3,4,6,5,2,8]=>[8,2,5,6,4,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,5,4,7,2,8]=>[8,2,7,4,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,4,8,2,3,7,5]=>[5,7,3,2,8,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,6,2,3,5,8,4,1]=>[1,4,8,5,3,2,6,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [2,8,5,7,6,3,4,1]=>[1,4,3,6,7,5,8,2]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>1 [8,7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7,8]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>1 [6,1,7,4,8,5,2,3]=>[3,2,5,8,4,7,1,6]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [7,4,1,8,6,2,5,3]=>[3,5,2,6,8,1,4,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [1,8,6,2,7,5,3,4]=>[4,3,5,7,2,6,8,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [2,8,5,1,7,6,3,4]=>[4,3,6,7,1,5,8,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [4,8,7,1,6,2,5,3]=>[3,5,2,6,1,7,8,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [5,2,8,6,4,3,1,7]=>[7,1,3,4,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,8,3,7,5,4,2,6]=>[6,2,4,5,7,3,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [3,8,7,1,6,2,4,5]=>[5,4,2,6,1,7,8,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [2,8,4,3,1,7,5,6]=>[6,5,7,1,3,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [7,3,6,8,5,4,2,1]=>[1,2,4,5,8,6,3,7]=>[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,2,1,3]=>1 [5,6,2,4,8,7,3,1]=>[1,3,7,8,4,2,6,5]=>[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>1 [7,8,1,4,5,6,2,3]=>[3,2,6,5,4,1,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [8,1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [5,4,7,8,6,2,3,1]=>[1,3,2,6,8,7,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [7,4,8,3,5,6,2,1]=>[1,2,6,5,3,8,4,7]=>[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>1 [3,1,8,6,4,5,7,2]=>[2,7,5,4,6,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,1,7,5,2,6,8,4]=>[4,8,6,2,5,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,6,3,1,2,7,8,5]=>[5,8,7,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,2,5,8,4,6,3]=>[3,6,4,8,5,2,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [5,1,3,7,6,8,4,2]=>[2,4,8,6,7,3,1,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [2,3,5,6,8,4,7,1]=>[1,7,4,8,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [7,3,8,5,1,6,2,4]=>[4,2,6,1,5,8,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [1,6,5,3,4,2,7,8]=>[8,7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,5,3,4,8,2]=>[2,8,4,3,5,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7,8]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [8,1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1,8]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,2,2,1]=>2 [8,1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1,8]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,1,2,1,1]=>2 [1,4,6,7,5,2,3,8]=>[8,3,2,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,5,8,2,6,4,7]=>[7,4,6,2,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,7,3,8,5,6,2,1]=>[1,2,6,5,8,3,7,4]=>[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>1 [7,1,4,8,5,6,3,2]=>[2,3,6,5,8,4,1,7]=>[1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [7,4,2,8,5,6,3,1]=>[1,3,6,5,8,2,4,7]=>[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [3,4,8,2,6,7,5,1]=>[1,5,7,6,2,8,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [5,2,1,3,8,4,6,7]=>[7,6,4,8,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,4,3,5,8,2,6,7]=>[7,6,2,8,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,6,4,5,8,2,7]=>[7,2,8,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,1,4,3,5,8,2,7]=>[7,2,8,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [6,5,1,3,8,2,4,7]=>[7,4,2,8,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,5,8,7,6,1,4,2]=>[2,4,1,6,7,8,5,3]=>[1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>2 [7,3,6,5,4,8,2,1]=>[1,2,8,4,5,6,3,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [8,9,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,9,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [2,9,10,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,10,9,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,1,1,1,2]=>1 [2,7,8,9,6,5,4,3,1]=>[1,3,4,5,6,9,8,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,1,3]=>1 [6,4,7,8,3,5,1,2]=>[2,1,5,3,8,7,4,6]=>[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>2 [3,5,6,7,1,8,4,2]=>[2,4,8,1,7,6,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [7,4,3,5,8,1,6,2]=>[2,6,1,8,5,3,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [7,8,4,3,6,1,5,2]=>[2,5,1,6,3,4,8,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [7,2,6,4,3,8,5,1]=>[1,5,8,3,4,6,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [7,4,5,1,8,2,6,3]=>[3,6,2,8,1,5,4,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [6,3,1,2,8,5,4,7]=>[7,4,5,8,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,4,8,5,2,3,7]=>[7,3,2,5,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,6,3,8,4,5,1,7]=>[7,1,5,4,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,3,6,4,2,5,8,1]=>[1,8,5,2,4,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,2,8,5,3,6,1,4]=>[4,1,6,3,5,8,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,8,6,4,2,7,1,3]=>[3,1,7,2,4,6,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>3 [7,1,5,3,8,2,4,6]=>[6,4,2,8,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,8,7,6,4,5,2]=>[2,5,4,6,7,8,3,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>2 [1,6,4,5,2,8,3,7]=>[7,3,8,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [7,2,3,4,6,1,5,8]=>[8,5,1,6,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,1,6,3,8,7,2]=>[2,7,8,3,6,1,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [7,2,1,6,3,8,4,5]=>[5,4,8,3,6,1,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,7,3,4,1,8,5,6]=>[6,5,8,1,4,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,8,7,1,5,6,2,3]=>[3,2,6,5,1,7,8,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [8,6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6,8]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,3,2,1]=>1 [2,5,3,4,7,8,6,1]=>[1,6,8,7,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [2,6,7,8,3,5,4,1]=>[1,4,5,3,8,7,6,2]=>[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>1 [8,6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,4,8,5,3,6,1,2]=>[2,1,6,3,5,8,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [8,4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [4,5,3,8,7,1,2,6]=>[6,2,1,7,8,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [8,5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5,8]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,3,1,1]=>3 [7,5,8,2,4,3,1,6]=>[6,1,3,4,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [8,2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [4,8,2,1,6,5,3,7]=>[7,3,5,6,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,6,2,1,8,5,3,7]=>[7,3,5,8,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,7,8,1,4,6,5]=>[5,6,4,1,8,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [8,2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,1,3,8,2,4,6,5]=>[5,6,4,2,8,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [7,2,3,6,4,1,8,5]=>[5,8,1,4,6,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,5,2,4,1,8,3,7]=>[7,3,8,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,7,2,4,1,3,8,6]=>[6,8,3,1,4,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,2,5,4,1,8,3,7]=>[7,3,8,1,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,7,8,6,3,5,1,4]=>[4,1,5,3,6,8,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [2,5,8,7,3,1,6,4]=>[4,6,1,3,7,8,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [7,9,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,9,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,1,1,2,1]=>2 [8,6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [1,7,2,5,6,4,8,3]=>[3,8,4,6,5,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [6,3,4,8,5,1,2,7]=>[7,2,1,5,8,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,2,6,8,3,4,5,1]=>[1,5,4,3,8,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [3,5,8,4,6,2,7,1]=>[1,7,2,6,4,8,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,5,8,4,2,7,6,1]=>[1,6,7,2,4,8,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [7,4,3,8,6,5,1,2]=>[2,1,5,6,8,3,4,7]=>[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>2 [7,2,6,5,8,3,1,4]=>[4,1,3,8,5,6,2,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [1,8,5,4,2,6,3,7]=>[7,3,6,2,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,4,2,6,8,3,1,7]=>[7,1,3,8,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,9,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,9,8]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>2 [3,5,6,7,4,8,1,2]=>[2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,8,1]=>1 [1,9,8,7,6,5,4,2,3,10]=>[10,3,2,4,5,6,7,8,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,7,3,6,2,1,4,8]=>[8,4,1,2,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,3,5,8,1,2,7,4]=>[4,7,2,1,8,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,3,8,5,4,6,1,7]=>[7,1,6,4,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [2,7,3,4,6,1,8,5]=>[5,8,1,6,4,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,3,5,4,1,8,2,6]=>[6,2,8,1,4,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,4,3,2,6,9,1,7]=>[7,1,9,6,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>7 [1,3,2,4,5,6,9,7,8]=>[8,7,9,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [2,3,1,4,5,6,9,7,8]=>[8,7,9,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [6,8,7,1,2,5,4,3]=>[3,4,5,2,1,7,8,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>3 [7,1,3,5,4,2,6,8]=>[8,6,2,4,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,7,6,2,4,8]=>[8,4,2,6,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,5,7,4,1,8,3]=>[3,8,1,4,7,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,6,1,8,7,4,5,2]=>[2,5,4,7,8,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>2 [4,2,7,5,1,6,3,8]=>[8,3,6,1,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,3,5,7,6,8,2]=>[2,8,6,7,5,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,1,7,6,3,5,8,2]=>[2,8,5,3,6,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,3,5,7,8,2,6,1]=>[1,6,2,8,7,5,3,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [4,2,5,1,7,3,6,8]=>[8,6,3,7,1,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,1,8,2,7,3,5]=>[5,3,7,2,8,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [7,2,4,8,1,6,5,3]=>[3,5,6,1,8,4,2,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [4,7,5,1,6,2,3,8]=>[8,3,2,6,1,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,1,4,6,2,7,5]=>[5,7,2,6,4,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [3,8,7,4,2,5,1,6]=>[6,1,5,2,4,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,2,7,5,4,1,8,6]=>[6,8,1,4,5,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,7,3,5,4,2,6,8]=>[8,6,2,4,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,6,8,3,2,4]=>[4,2,3,8,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [5,3,1,7,6,8,2,4]=>[4,2,8,6,7,1,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,8,6,1,5,2,3,7]=>[7,3,2,5,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,4,1,8,2,6,5,3]=>[3,5,6,2,8,1,4,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [7,1,8,3,5,2,6,4]=>[4,6,2,5,3,8,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [7,1,2,8,4,3,5,6]=>[6,5,3,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [3,1,5,8,4,2,7,6]=>[6,7,2,4,8,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,3,1,4,2,8,5,6]=>[6,5,8,2,4,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,1,3,4,8,6,2,7]=>[7,2,6,8,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,9,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [5,7,3,6,2,1,8,4]=>[4,8,1,2,6,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,6,5,2,4,8,1,7]=>[7,1,8,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,8,7,6,5,2,1,9]=>[9,1,2,5,6,7,8,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,2,6,1,7,4,3,8]=>[8,3,4,7,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,5,1,7,2,8]=>[8,2,7,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,6,2,1,5,7,8]=>[8,7,5,1,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,5,4,7,8,3,6]=>[6,3,8,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [9,10,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,2]=>8 [10,7,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,7,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [2,6,1,7,5,3,8,4]=>[4,8,3,5,7,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,5,4,8,3,6,7,2]=>[2,7,6,3,8,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [1,8,3,6,2,4,7,5]=>[5,7,4,2,6,3,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [6,8,2,1,5,4,3,7]=>[7,3,4,5,1,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,4,7,6,2,5,3,8]=>[8,3,5,2,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,7,2,5,4,3,8]=>[8,3,4,5,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,6,3,2,8,1,4]=>[4,1,8,2,3,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,5,1,4,6,3,2,8]=>[8,2,3,6,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,2,6,3,4,8]=>[8,4,3,6,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,8,3,2,4,6]=>[6,4,2,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,5,1,4,6,3,8,2]=>[2,8,3,6,4,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,5,4,1,2,6,3,8]=>[8,3,6,2,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,1,4,2,8,3,6]=>[6,3,8,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [4,8,2,6,7,1,5,3]=>[3,5,1,7,6,2,8,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [6,5,8,3,7,1,4,2]=>[2,4,1,7,3,8,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>2 [4,8,6,5,3,7,1,2]=>[2,1,7,3,5,6,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [4,1,5,7,6,2,8,3]=>[3,8,2,6,7,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,2,4,7,1,5,8,6]=>[6,8,5,1,7,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,2,6,8,7,5,1,4]=>[4,1,5,7,8,6,2,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [2,7,5,6,1,8,3,4]=>[4,3,8,1,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,2,3,5,7,8,6,1]=>[1,6,8,7,5,3,2,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,4,7,1,6,2,3,8]=>[8,3,2,6,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,8,5,2,4,1,7]=>[7,1,4,2,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,8,2,5,7,6,1,3]=>[3,1,6,7,5,2,8,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [4,7,1,5,6,2,3,8]=>[8,3,2,6,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,6,3,7,1,8]=>[8,1,7,3,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,6,4,3,5,1,8]=>[8,1,5,3,4,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,8,7,3,5,4]=>[4,5,3,7,8,1,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>4 [3,6,8,7,4,2,5,1]=>[1,5,2,4,7,8,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>1 [1,6,2,8,5,7,4,3]=>[3,4,7,5,8,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [6,8,4,5,7,3,1,2]=>[2,1,3,7,5,4,8,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,1]=>2 [7,5,6,1,3,8,2,4]=>[4,2,8,3,1,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [5,4,8,3,6,7,2,1]=>[1,2,7,6,3,8,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [5,8,4,6,3,7,2,1]=>[1,2,7,3,6,4,8,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [8,5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,3,4,8,5,1,2,6]=>[6,2,1,5,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [7,6,2,4,1,8,3,5]=>[5,3,8,1,4,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [2,8,5,6,1,3,4,7]=>[7,4,3,1,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [10,9,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,9,10]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[2,2,2,2,1,1]=>2 [7,2,5,1,8,4,6,3]=>[3,6,4,8,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [3,10,9,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,9,10,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1,1]=>2 [7,1,8,5,2,6,3,4]=>[4,3,6,2,5,8,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,7,6,9,5,3,2,1,4]=>[4,1,2,3,5,9,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,1,4]=>4 [1,5,4,3,8,2,7,6]=>[6,7,2,8,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>6 [4,7,8,3,6,2,1,5]=>[5,1,2,6,3,8,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>5 [4,8,6,2,7,5,1,3]=>[3,1,5,7,2,6,8,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>3 [6,2,7,4,3,8,5,1]=>[1,5,8,3,4,7,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [1,5,4,7,3,8,2,6]=>[6,2,8,3,7,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,2,6,7,3,5,4,8]=>[8,4,5,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,6,3,1,7,8]=>[8,7,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,5,6,7,8,9,4,1,2]=>[2,1,4,9,8,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,2,5]=>2 [3,7,8,4,5,6,1,2]=>[2,1,6,5,4,8,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [5,6,3,8,1,7,4,2]=>[2,4,7,1,8,3,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,5,2,1,8,3,6,7]=>[7,6,3,8,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,4,2,1,6,5,8,3]=>[3,8,5,6,1,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [5,4,3,6,1,8,2,7]=>[7,2,8,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,5,4,1,7,2,8,6]=>[6,8,2,7,1,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,3,8,6,7,4,5,2]=>[2,5,4,7,6,8,3,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>2 [2,6,5,3,7,1,8,4]=>[4,8,1,7,3,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,5,3,2,1,4,8,6]=>[6,8,4,1,2,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,6,8,4,5,3,7,1]=>[1,7,3,5,4,8,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [4,1,6,2,5,8,7,3]=>[3,7,8,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [10,1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[8,1,1]=>8 [5,7,3,4,2,8,6,1]=>[1,6,8,2,4,3,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [5,8,3,4,2,7,6,1]=>[1,6,7,2,4,3,8,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>1 [7,6,4,2,3,8,5,1]=>[1,5,8,3,2,4,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [3,5,6,8,2,4,7,1]=>[1,7,4,2,8,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,8,7,3,2,5,6,1]=>[1,6,5,2,3,7,8,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [3,7,4,2,6,8,5,1]=>[1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,4,8,7,3,2,5,1]=>[1,5,2,3,7,8,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>1 [5,6,2,8,7,4,3,1]=>[1,3,4,7,8,2,6,5]=>[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,1,3,1]=>1 [2,5,7,6,4,8,1,3]=>[3,1,8,4,6,7,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,5,6,4,8,7,1,3]=>[3,1,7,8,4,6,5,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,2,8,3,7,4,5,1]=>[1,5,4,7,3,8,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [1,4,3,8,5,6,2,7]=>[7,2,6,5,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [7,8,2,6,4,3,5,1]=>[1,5,3,4,6,2,8,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,4,1,2]=>1 [5,1,8,7,2,4,3,6]=>[6,3,4,2,7,8,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,1,3,6,4,2,7,8]=>[8,7,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,5,1,8,7,3,2]=>[2,3,7,8,1,5,4,6]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [8,6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [7,2,8,4,6,5,3,1]=>[1,3,5,6,4,8,2,7]=>[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,2,2,1,2]=>1 [2,5,8,3,4,6,1,7]=>[7,1,6,4,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,8,4,3,6,1,2,5]=>[5,2,1,6,3,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>5 [5,6,1,2,4,8,7,3]=>[3,7,8,4,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [1,6,5,7,3,4,8,2]=>[2,8,4,3,7,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,8,3,7,6,2,1]=>[1,2,6,7,3,8,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,4,1,1]=>1 [8,5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,7,2,1,3,8,5,6]=>[6,5,8,3,1,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2,8]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>3 [7,6,4,1,2,5,8,3]=>[3,8,5,2,1,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,6,3,2,5,8,4,1]=>[1,4,8,5,2,3,6,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [7,2,1,3,8,4,6,5]=>[5,6,4,8,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,4,1,6,8,5,3,2]=>[2,3,5,8,6,1,4,7]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [7,5,3,8,2,1,4,6]=>[6,4,1,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,5,3,7,2,8,1,4]=>[4,1,8,2,7,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [8,6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6,8]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,2,1,2,1]=>1 [8,3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3,8]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,4,1,1]=>1 [8,3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [6,2,8,7,3,5,1,4]=>[4,1,5,3,7,8,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [4,6,8,7,3,5,2,1]=>[1,2,5,3,7,8,6,4]=>[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,3,2,1]=>1 [5,8,3,4,2,1,6,7]=>[7,6,1,2,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,5,8,3,2,4,7,1]=>[1,7,4,2,3,8,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [3,1,7,8,4,5,6,2]=>[2,6,5,4,8,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [3,8,6,4,1,2,5,7]=>[7,5,2,1,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,5,2,7,6,4,3]=>[3,4,6,7,2,5,8,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,1,2,1,1]=>3 [4,6,5,7,1,8,2,3]=>[3,2,8,1,7,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,5,3,6,8,4,2,1]=>[1,2,4,8,6,3,5,7]=>[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>1 [5,3,4,8,2,1,7,6]=>[6,7,1,2,8,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [1,6,3,4,2,5,8,7]=>[7,8,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,3,7,6,2,5,8]=>[8,5,2,6,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,7,4,6,8,5,2]=>[2,5,8,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,5,3,4,7,2,8,6]=>[6,8,2,7,4,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,1,5,4,7,8,2,3]=>[3,2,8,7,4,5,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,7,1,5,2,3,4,8]=>[8,4,3,2,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,3,5,1,8,2,4]=>[4,2,8,1,5,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,7,3,6,1,4,8,5]=>[5,8,4,1,6,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,4,2,3,1,6,5,8]=>[8,5,6,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,2,1,7,4,3,8]=>[8,3,4,7,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [9,8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1]=>7 [3,7,4,6,8,1,5,2]=>[2,5,1,8,6,4,7,3]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [2,3,4,5,6,7,1,10,9,8]=>[8,9,10,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,1,1]=>8 [4,1,5,6,2,8,7,3]=>[3,7,8,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [9,10,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,2]=>8 [8,9,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>7 [8,9,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>7 [1,8,7,6,5,4,9,2,3]=>[3,2,9,4,5,6,7,8,1]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,6]=>3 [1,9,8,7,6,5,4,10,2,3]=>[3,2,10,4,5,6,7,8,9,1]=>[1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,7]=>3 [2,6,7,5,3,4,1,8]=>[8,1,4,3,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,1,7,5,6,8,3]=>[3,8,6,5,7,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,2,4,8,3,5,1,6]=>[6,1,5,3,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,7,6,3,2,1,5,8]=>[8,5,1,2,3,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,7,4,6,8,2]=>[2,8,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,7,1,5,2,8,6,3]=>[3,6,8,2,5,1,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,7,1,5,8,6,3,2]=>[2,3,6,8,5,1,7,4]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>2 [1,4,2,8,6,7,5,3]=>[3,5,7,6,8,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [5,9,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,9,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,5,1,1,1]=>1 [3,5,7,9,2,4,6,8,1]=>[1,8,6,4,2,9,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,7,1]=>1 [2,5,7,3,6,1,8,4]=>[4,8,1,6,3,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,7,3,6,1,5,2,8]=>[8,2,5,1,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,1,8,5,3,2]=>[2,3,5,8,1,6,7,4]=>[1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>2 [7,1,8,6,5,3,4,2]=>[2,4,3,5,6,8,1,7]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>2 [8,7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7,8]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>3 [1,7,2,4,6,8,5,3]=>[3,5,8,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [8,4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [4,8,6,7,5,2,1,3]=>[3,1,2,5,7,6,8,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>3 [6,1,7,8,3,2,5,4]=>[4,5,2,3,8,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,2,7,4,3,8,1,6]=>[6,1,8,3,4,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>3 [7,5,1,3,8,4,6,2]=>[2,6,4,8,3,1,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,2,6,1,3,8,7,4]=>[4,7,8,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,1,4,8,5,7,2,6]=>[6,2,7,5,8,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2,8]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>1 [8,2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2,8]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,4,2,1]=>1 [3,2,5,8,1,4,7,6]=>[6,7,4,1,8,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>6 [3,2,8,7,4,6,1,5]=>[5,1,6,4,7,8,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>5 [4,3,1,2,5,8,6,7]=>[7,6,8,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,2,8,7,5,6,1,4]=>[4,1,6,5,7,8,2,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [5,8,1,4,2,7,6,3]=>[3,6,7,2,4,1,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>3 [6,5,7,2,1,4,3,8]=>[8,3,4,1,2,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,3,4,8,1,6,5]=>[5,6,1,8,4,3,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [5,7,1,4,6,2,3,8]=>[8,3,2,6,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,6,1,8,7,3]=>[3,7,8,1,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [3,5,2,8,7,6,1,4]=>[4,1,6,7,8,2,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,5,6,1,4,3,8,7]=>[7,8,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,8,1,4,3,6,7,5]=>[5,7,6,3,4,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7,8]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>3 [3,8,1,2,5,4,6,7]=>[7,6,4,5,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,5,2,8,1,4,6,7]=>[7,6,4,1,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [9,1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1,9]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>3 [5,6,8,7,3,2,4,1]=>[1,4,2,3,7,8,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,3,3,1]=>1 [7,6,3,4,2,8,5,1]=>[1,5,8,2,4,3,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,9,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,9,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>2 [4,9,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,9,4]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>2 [2,1,4,3,6,5,8,9,7]=>[7,9,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [1,4,7,6,3,5,8,2]=>[2,8,5,3,6,7,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>4 [1,8,7,6,9,5,4,3,2]=>[2,3,4,5,9,6,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,1,4]=>2 [1,8,7,6,5,9,4,3,2]=>[2,3,4,9,5,6,7,8,1]=>[1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,1,5]=>2 [1,8,7,6,5,4,9,3,2]=>[2,3,9,4,5,6,7,8,1]=>[1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,6]=>2 [1,8,7,6,5,4,3,9,2]=>[2,9,3,4,5,6,7,8,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [1,9,8,7,6,5,4,3,10,2]=>[2,10,3,4,5,6,7,8,9,1]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>2 [4,7,8,1,5,6,3,2]=>[2,3,6,5,1,8,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [7,2,8,1,5,6,3,4]=>[4,3,6,5,1,8,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3,8]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>4 [2,6,8,4,1,5,3,7]=>[7,3,5,1,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,7,4,6,8,5,1,3]=>[3,1,5,8,6,4,7,2]=>[1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,1,2,3,4,7,9,6,8]=>[8,6,9,7,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [5,4,1,2,3,7,6,8]=>[8,6,7,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,4,6,8,3,5,7,9]=>[9,7,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,4,5,8,7,6,9]=>[9,6,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,1,2,3,4,5,6,9,8,10]=>[10,8,9,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,2,3,4,5,6,7,9,11,8,10]=>[10,8,11,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[10,1]=>10 [6,5,1,2,3,4,8,7,9]=>[9,7,8,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,4,5,7,9,11,6,8,10]=>[10,8,6,11,9,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0]=>[10,1]=>10 [1,4,6,8,3,2,5,7,9]=>[9,7,5,2,3,8,6,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,3,5,7,9,11,2,4,6,8,10]=>[10,8,6,4,2,11,9,7,5,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0]=>[10,1]=>10 [4,7,5,6,8,2,1,3]=>[3,1,2,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>3 [4,5,3,1,7,8,6,2]=>[2,6,8,7,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [2,3,6,4,8,5,7,1]=>[1,7,5,8,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [6,5,8,4,7,3,1,2]=>[2,1,3,7,4,8,5,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>2 [2,3,6,4,8,7,5,1]=>[1,5,7,8,4,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>1 [8,6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [7,3,6,1,4,2,5,8]=>[8,5,2,4,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,6,7,5,8,1]=>[1,8,5,7,6,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [7,3,2,4,5,8,6,1]=>[1,6,8,5,4,2,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [7,4,5,1,8,3,6,2]=>[2,6,3,8,1,5,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,8,6,1,3,7,2,4]=>[4,2,7,3,1,6,8,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>4 [1,7,2,5,8,3,6,4]=>[4,6,3,8,5,2,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [4,7,6,2,8,5,3,1]=>[1,3,5,8,2,6,7,4]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [8,2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [7,5,8,6,4,2,3,1]=>[1,3,2,4,6,8,5,7]=>[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,1,2,2]=>1 [1,5,4,6,8,7,2,3]=>[3,2,7,8,6,4,5,1]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [6,2,7,1,3,5,4,8]=>[8,4,5,3,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,7,4,2,1,6,5]=>[5,6,1,2,4,7,8,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [3,1,5,4,8,2,6,7]=>[7,6,2,8,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,1,3,2,5,4,7,8]=>[8,7,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,5,8,1,4,2,7]=>[7,2,4,1,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7,8]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>3 [8,2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,8,3,4,7,6,2,1]=>[1,2,6,7,4,3,8,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,4,1,1]=>1 [5,3,4,8,6,7,2,1]=>[1,2,7,6,8,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [4,5,2,3,8,7,6,1]=>[1,6,7,8,3,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [7,6,2,1,3,8,4,5]=>[5,4,8,3,1,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [8,4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4,8]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>2 [4,8,7,6,3,5,1,2]=>[2,1,5,3,6,7,8,4]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>2 [2,6,8,5,1,3,4,7]=>[7,4,3,1,5,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,1,6,8,2,5,7,4]=>[4,7,5,2,8,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [3,2,1,4,7,5,6,8]=>[8,6,5,7,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [3,6,1,2,8,4,7,5]=>[5,7,4,8,2,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,7,5,4,2,6,8,3]=>[3,8,6,2,4,5,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,5,4,6,8,2,7,3]=>[3,7,2,8,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,5,4,6,8,3,2,7]=>[7,2,3,8,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,6,8,3,4,5,2,7]=>[7,2,5,4,3,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,7,1,3,6,2,8,5]=>[5,8,2,6,3,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,8,1,4,3,5,6]=>[6,5,3,4,1,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [7,4,3,5,1,2,8,6]=>[6,8,2,1,5,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [10,8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [4,1,6,8,5,7,2,3]=>[3,2,7,5,8,6,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [3,8,4,6,7,5,1,2]=>[2,1,5,7,6,4,8,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [1,5,6,4,2,7,8,3]=>[3,8,7,2,4,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,4,5,1,3,7,2,8]=>[8,2,7,3,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,2,8,7,4,3,6]=>[6,3,4,7,8,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [8,4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,7,1,5,4,2,8,3]=>[3,8,2,4,5,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,8,1,7,5,4,6,2]=>[2,6,4,5,7,1,8,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [3,4,2,6,1,8,5,7]=>[7,5,8,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,2,3,7,1,8,5,6]=>[6,5,8,1,7,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [8,1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [4,2,6,7,1,5,3,8]=>[8,3,5,1,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,5,8,2,4,3]=>[3,4,2,8,5,1,6,7]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [4,2,3,6,1,8,7,5]=>[5,7,8,1,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>5 [7,8,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,4]=>1 [7,3,1,6,4,2,8,5]=>[5,8,2,4,6,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,3,6,2,7,5,8]=>[8,5,7,2,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,1,5,2,6,8]=>[8,6,2,5,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,9,5,4,3,2,1,8]=>[8,1,2,3,4,5,9,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [7,8,10,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,10,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,1]=>9 [8,7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7,8]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>1 [8,4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4,8]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>1 [8,3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3,8]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>1 [1,9,8,7,6,3,2,4,5]=>[5,4,2,3,6,7,8,9,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,1,1,1,1]=>5 [1,8,7,3,5,6,4,2]=>[2,4,6,5,3,7,8,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>2 [6,3,2,4,8,5,7,1]=>[1,7,5,8,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,6,7,4,3,5,8,1]=>[1,8,5,3,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,3,4,7,6,2,8,1]=>[1,8,2,6,7,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,1,4,5,8,7,3,2]=>[2,3,7,8,5,4,1,6]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>2 [6,1,2,4,5,8,7,3]=>[3,7,8,5,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>3 [5,6,8,1,2,7,3,4]=>[4,3,7,2,1,8,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [1,6,4,2,5,3,8,7]=>[7,8,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,8,6,3,7,5,1,4]=>[4,1,5,7,3,6,8,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>4 [2,4,7,1,6,8,5,3]=>[3,5,8,6,1,7,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [3,7,2,6,5,1,4,8]=>[8,4,1,5,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,8,7,5,4,3]=>[3,4,5,7,8,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,1,2,1]=>3 [5,6,1,7,3,2,4,8]=>[8,4,2,3,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,8,2,3,7,6,1]=>[1,6,7,3,2,8,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [4,2,6,8,3,5,7,1]=>[1,7,5,3,8,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,5,6,1,3,7,2,8]=>[8,2,7,3,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,6,5,8,2,1]=>[1,2,8,5,6,3,4,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [3,1,2,6,8,7,4,5]=>[5,4,7,8,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [1,4,3,7,5,2,6,8]=>[8,6,2,5,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7,8]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [5,3,2,7,8,6,1,4]=>[4,1,6,8,7,2,3,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,7,4,6,5,1,2,8]=>[8,2,1,5,6,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,3,5,1,4,2,7]=>[7,2,4,1,5,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,7,1,2,6,5,4]=>[4,5,6,2,1,7,8,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [7,6,4,5,3,1,8,2]=>[2,8,1,3,5,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,3,4,1,5,8,2]=>[2,8,5,1,4,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,4,1,3,5,6,8,2]=>[2,8,6,5,3,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,8,6,7,4,2,1]=>[1,2,4,7,6,8,3,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,2,3,1]=>1 [3,7,4,5,2,6,1,8]=>[8,1,6,2,5,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,2,3,5,4,8]=>[8,4,5,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,1,7,8,4,6,2,3]=>[3,2,6,4,8,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [6,1,2,4,8,7,3,5]=>[5,3,7,8,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,6,4,1,7,3,8,5]=>[5,8,3,7,1,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,3,5,8,7,4,2,6]=>[6,2,4,7,8,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,7,4,2,5,6,8,1]=>[1,8,6,5,2,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [4,7,3,6,8,5,2,1]=>[1,2,5,8,6,3,7,4]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [4,1,3,7,2,8,5,6]=>[6,5,8,2,7,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [5,2,4,6,3,1,8,7]=>[7,8,1,3,6,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,7,3,2,8,6,4]=>[4,6,8,2,3,7,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [2,6,3,7,4,5,1,8]=>[8,1,5,4,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,2,5,1,4,6,3]=>[3,6,4,1,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [4,5,7,1,3,2,6,8]=>[8,6,2,3,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,4,6,7,5,2,1]=>[1,2,5,7,6,4,8,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,3,2,1]=>1 [9,6,5,4,3,2,1,8,7,10]=>[10,7,8,1,2,3,4,5,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,7,5,3,6,8,2,1]=>[1,2,8,6,3,5,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [7,4,2,3,8,6,5,1]=>[1,5,6,8,3,2,4,7]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [3,8,2,6,4,1,7,5]=>[5,7,1,4,6,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [10,9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9,10]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1,1,1]=>1 [8,7,6,5,2,9,4,1,3]=>[3,1,4,9,2,5,6,7,8]=>[1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,5]=>3 [8,5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [8,9,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,9,8]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,3,2]=>1 [9,7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7,9]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,1,2,2,1]=>1 [9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,2,1,1]=>1 [2,7,4,8,1,5,3,6]=>[6,3,5,1,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,5,7,6,8,1,4,3]=>[3,4,1,8,6,7,5,2]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [8,3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [5,6,2,3,4,8,1,7]=>[7,1,8,4,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,2,5,8,6,1,7]=>[7,1,6,8,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,7,6,8,2,4,5]=>[5,4,2,8,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,5,8,6,3,2,4,7]=>[7,4,2,3,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,8,7,5,6,2,4,3]=>[3,4,2,6,5,7,8,1]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>3 [6,1,5,4,3,7,2,8]=>[8,2,7,3,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3,8]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>2 [8,7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7,8]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>2 [1,8,3,2,4,7,6,5]=>[5,6,7,4,2,3,8,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>5 [3,5,4,6,1,2,7,8]=>[8,7,2,1,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,6,8,3,1,4]=>[4,1,3,8,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [2,7,3,6,8,1,5,4]=>[4,5,1,8,6,3,7,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,6,3,2,1,5,8,4]=>[4,8,5,1,2,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [9,2,10,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,10,2,9]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,1,1,1,2]=>1 [9,3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3,9]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1,1]=>2 [1,3,7,6,2,5,8,4]=>[4,8,5,2,6,7,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [5,2,1,4,6,3,7,8]=>[8,7,3,6,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,4,8,2,3,7,5]=>[5,7,3,2,8,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>5 [5,2,3,7,8,1,4,6]=>[6,4,1,8,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [3,5,2,1,8,7,4,6]=>[6,4,7,8,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,2,5,8,1,7,4,6]=>[6,4,7,1,8,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>2 [4,7,5,6,1,3,2,8]=>[8,2,3,1,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,8,1,4,5,7]=>[7,5,4,1,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,7,1,6,5,8,4,2]=>[2,4,8,5,6,1,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>2 [3,5,1,8,4,2,6,7]=>[7,6,2,4,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [5,1,8,3,4,7,2,6]=>[6,2,7,4,3,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [2,6,1,4,5,7,3,8]=>[8,3,7,5,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6,8]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,4,2,1]=>1 [8,6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [6,8,4,3,5,7,2,1]=>[1,2,7,5,3,4,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [7,5,3,2,6,8,4,1]=>[1,4,8,6,2,3,5,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [1,7,8,6,4,3,5,2]=>[2,5,3,4,6,8,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>2 [2,3,8,1,7,4,6,5]=>[5,6,4,7,1,8,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [5,4,6,1,8,2,3,7]=>[7,3,2,8,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,8,7,6,5,4,3,2,9,10]=>[10,9,2,3,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,8,7,5,3,6,2,4]=>[4,2,6,3,5,7,8,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [8,3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>5 [1,5,4,7,2,3,6,8]=>[8,6,3,2,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,3,5,7,8,4,1]=>[1,4,8,7,5,3,2,6]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,6,5,8,2,1,4,7]=>[7,4,1,2,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [10,1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [8,7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7,8]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>3 [1,6,8,2,4,7,3,5]=>[5,3,7,4,2,8,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [6,3,4,7,2,5,1,8]=>[8,1,5,2,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,5,7,1,3,8]=>[8,3,1,7,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,5,2,4,6,1,8,3]=>[3,8,1,6,4,2,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,3,6,7,5,1,4,8]=>[8,4,1,5,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,3,2,1,4,8]=>[8,4,1,2,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,4,7,5,2,3,8]=>[8,3,2,5,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,8,4,2,6,7,3]=>[3,7,6,2,4,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [1,7,4,6,8,2,3,5]=>[5,3,2,8,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [1,7,3,6,8,2,4,5]=>[5,4,2,8,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [3,2,5,4,7,6,1,9,8]=>[8,9,1,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [2,3,4,6,5,8,7,1,9]=>[9,1,7,8,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,3,5,4,7,6,9,8,1,10]=>[10,1,8,9,6,7,4,5,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,3,4,5,7,6,9,8,1,10]=>[10,1,8,9,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,4,8,6,3,2,7,1]=>[1,7,2,3,6,8,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [1,6,7,8,5,3,2,4]=>[4,2,3,5,8,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [5,6,4,8,7,3,1,2]=>[2,1,3,7,8,4,6,5]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>2 [5,7,8,4,6,3,1,2]=>[2,1,3,6,4,8,7,5]=>[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>2 [3,6,7,5,4,1,2,8]=>[8,2,1,4,5,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [3,6,4,7,2,1,5,8]=>[8,5,1,2,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,8,9,7,5,3,1]=>[1,3,5,7,9,8,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,2,2,2,2]=>1 [3,5,6,7,8,9,10,4,2,1]=>[1,2,4,10,9,8,7,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,2,6]=>1 [6,2,1,3,7,4,5,8]=>[8,5,4,7,3,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,6,4,2,1,5,8]=>[8,5,1,2,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,6,7,4,1,5,8]=>[8,5,1,4,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,2,6,8,3,1,4]=>[4,1,3,8,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [3,2,7,4,5,8,6,1]=>[1,6,8,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [7,6,2,5,1,8,3,4]=>[4,3,8,1,5,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [2,4,3,8,1,7,6,5]=>[5,6,7,1,8,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>5 [3,8,6,5,4,7,2,1]=>[1,2,7,4,5,6,8,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [5,1,7,4,6,2,8,3]=>[3,8,2,6,4,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,3,8,7,6,1,5,4]=>[4,5,1,6,7,8,3,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [6,1,8,2,4,7,5,3]=>[3,5,7,4,2,8,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [4,8,2,6,5,7,3,1]=>[1,3,7,5,6,2,8,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [4,5,2,7,6,8,3,1]=>[1,3,8,6,7,2,5,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [8,2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,2,6,3,8,4,7,1]=>[1,7,4,8,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [8,2,1,9,7,6,5,4,3]=>[3,4,5,6,7,9,1,2,8]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,1,2]=>3 [1,3,2,5,4,8,6,9,7]=>[7,9,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [1,3,2,6,4,8,5,9,7]=>[7,9,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [1,4,2,6,3,8,5,9,7]=>[7,9,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [2,1,4,6,3,8,5,9,7]=>[7,9,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [2,1,4,3,6,8,5,9,7]=>[7,9,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [1,2,4,6,3,8,5,9,7]=>[7,9,5,8,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [2,4,1,3,6,8,5,9,7]=>[7,9,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [1,3,2,5,7,4,9,6,10,8]=>[8,10,6,9,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [2,1,4,6,3,5,8,9,7]=>[7,9,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>7 [1,3,2,5,4,7,9,6,10,8]=>[8,10,6,9,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [2,1,4,3,6,8,5,7,9]=>[9,7,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,7,8,3,1,5,2,4]=>[4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [8,1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,8,1,5,2,3,4,6]=>[6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [3,7,6,5,2,8,4,1]=>[1,4,8,2,5,6,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,7,6,4,2,8,3,1]=>[1,3,8,2,4,6,7,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,2,5,3,8,7,4,1]=>[1,4,7,8,3,5,2,6]=>[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>1 [3,5,8,7,6,2,1,4]=>[4,1,2,6,7,8,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [6,3,4,1,7,8,5,2]=>[2,5,8,7,1,4,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [4,5,7,3,6,2,1,8]=>[8,1,2,6,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,4,3,5,1,8,6,2]=>[2,6,8,1,5,3,4,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [5,4,7,1,2,6,3,8]=>[8,3,6,2,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,7,5,3,4,8]=>[8,4,3,5,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,6,4,5,7,8,9]=>[9,8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,3,1,6,4,8,5,2]=>[2,5,8,4,6,1,3,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [3,7,2,6,5,4,8,1]=>[1,8,4,5,6,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,4,5,2,7,8,6,3]=>[3,6,8,7,2,5,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,1,5,6,4,7,2,8]=>[8,2,7,4,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,8,5,6,3,4,7]=>[7,4,3,6,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [2,7,3,1,6,8,5,4]=>[4,5,8,6,1,3,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [3,7,8,4,5,2,1,6]=>[6,1,2,5,4,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,8,5,7,6,2,3,1]=>[1,3,2,6,7,5,8,4]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>1 [1,4,3,8,2,7,5,6]=>[6,5,7,2,8,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [5,8,6,1,3,2,4,7]=>[7,4,2,3,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,4,5,7,6,8,9,1,2]=>[2,1,9,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>2 [5,1,4,2,3,7,6,8]=>[8,6,7,3,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,6,8,4,5,2,7]=>[7,2,5,4,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,1,3,7,5,4,2,8]=>[8,2,4,5,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,7,5,3,4,8,6]=>[6,8,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,4,6,8,10,9,7,5,3,1]=>[1,3,5,7,9,10,8,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,2,2,2,1]=>1 [3,4,8,5,1,7,2,6]=>[6,2,7,1,5,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [5,2,4,7,3,6,1,8]=>[8,1,6,3,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6,8]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [7,8,6,3,5,4,1,2]=>[2,1,4,5,3,6,8,7]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>2 [4,3,8,6,1,2,7,5]=>[5,7,2,1,6,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,1,3,6,2,7,8,4]=>[4,8,7,2,6,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,7,6,5,1,4,3,2,9]=>[9,2,3,4,1,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,8,7,6,5,4,1,3,2,10]=>[10,2,3,1,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,8,7,6,5,1,4,3,2,10]=>[10,2,3,4,1,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,7,8,5,6,2,4,3]=>[3,4,2,6,5,8,7,1]=>[1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [6,2,1,4,5,3,8,7]=>[7,8,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [2,7,6,1,8,4,5,3]=>[3,5,4,8,1,6,7,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [5,1,7,6,8,2,4,3]=>[3,4,2,8,6,7,1,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [3,7,6,4,1,2,8,5]=>[5,8,2,1,4,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [1,7,2,6,4,8,3,5]=>[5,3,8,4,6,2,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,7,4,8,2,3,6,5]=>[5,6,3,2,8,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [6,5,8,3,4,7,1,2]=>[2,1,7,4,3,8,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,8,2,7,1,4,6,5]=>[5,6,4,1,7,2,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [5,1,2,8,7,3,6,4]=>[4,6,3,7,8,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [2,5,4,6,1,8,3,7]=>[7,3,8,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,5,6,7,1,4,2,8]=>[8,2,4,1,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,6,5,1,8,2,7,3]=>[3,7,2,8,1,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [4,8,3,6,7,5,1,2]=>[2,1,5,7,6,3,8,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>2 [1,6,3,2,7,8,5,4]=>[4,5,8,7,2,3,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [1,6,4,2,8,5,7,3]=>[3,7,5,8,2,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [1,4,3,8,6,7,2,5]=>[5,2,7,6,8,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [1,6,7,4,5,8,2,3]=>[3,2,8,5,4,7,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,5,2,7,8,3,4,1]=>[1,4,3,8,7,2,5,6]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [5,2,1,6,3,7,8,4]=>[4,8,7,3,6,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [7,8,6,2,4,5,3,1]=>[1,3,5,4,2,6,8,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,2,1,2]=>1 [10,9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9,10]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1,1,1]=>1 [10,9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,2,1,1]=>1 [6,5,3,8,7,4,2,1]=>[1,2,4,7,8,3,5,6]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,2,3,1]=>1 [8,5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,2,3,7,1,4,8,6]=>[6,8,4,1,7,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,7,2,3,8,1,5,6]=>[6,5,1,8,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,8,6,3,7,2,4,1]=>[1,4,2,7,3,6,8,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,3,1]=>1 [7,6,3,2,4,8,5,1]=>[1,5,8,4,2,3,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [8,2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,5,3,1,8,6,2,7]=>[7,2,6,8,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,3,2,8,1,5,4,7]=>[7,4,5,1,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [3,7,8,6,1,5,2,4]=>[4,2,5,1,6,8,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [6,5,1,4,3,7,8,2]=>[2,8,7,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,6,4,5,1,7,3,8]=>[8,3,7,1,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [3,9,2,8,1,7,6,5,4]=>[4,5,6,7,1,8,2,9,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1,1]=>4 [4,9,3,8,2,7,1,6,5]=>[5,6,1,7,2,8,3,9,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1,1]=>5 [3,10,2,9,1,8,7,6,5,4]=>[4,5,6,7,8,1,9,2,10,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1,1,1]=>4 [4,10,3,9,2,8,1,7,6,5]=>[5,6,7,1,8,2,9,3,10,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1,1,1]=>5 [5,9,4,8,3,7,1,6,2]=>[2,6,1,7,3,8,4,9,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,4,1,1,1]=>2 [6,5,4,3,2,9,8,7,1]=>[1,7,8,9,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,6,1,1]=>1 [5,4,3,8,7,2,6,1]=>[1,6,2,7,8,3,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [4,3,2,9,8,7,6,5,1]=>[1,5,6,7,8,9,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1,1]=>1 [5,4,3,2,10,9,8,7,6,1]=>[1,6,7,8,9,10,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1,1,1]=>1 [3,6,1,2,8,7,4,5]=>[5,4,7,8,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [2,7,4,8,3,6,5,1]=>[1,5,6,3,8,4,7,2]=>[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>1 [1,6,2,4,5,7,3,8]=>[8,3,7,5,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,8,4,6,2,3,1]=>[1,3,2,6,4,8,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [4,7,8,3,5,2,6,1]=>[1,6,2,5,3,8,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [7,3,1,4,2,5,6,8]=>[8,6,5,2,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,4,6,8,7,2,1]=>[1,2,7,8,6,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>1 [5,4,1,3,8,7,2,6]=>[6,2,7,8,3,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>6 [3,7,5,1,4,2,6,8]=>[8,6,2,4,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7,8]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [8,7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7,8]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>4 [6,2,5,3,4,7,8,1]=>[1,8,7,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [1,6,4,7,3,2,5,8]=>[8,5,2,3,7,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,6,5,7,8,3]=>[3,8,7,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,5,6,8,7,2,4,3]=>[3,4,2,7,8,6,5,1]=>[1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>3 [6,7,4,3,2,8,5,1]=>[1,5,8,2,3,4,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [5,1,4,6,2,7,3,8]=>[8,3,7,2,6,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,6,8,5,3,4]=>[4,3,5,8,6,1,7,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [5,3,6,8,7,4,2,1]=>[1,2,4,7,8,6,3,5]=>[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,2,3,1]=>1 [2,7,3,5,6,8,1,4]=>[4,1,8,6,5,3,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,6,5,7,3,1,8,2]=>[2,8,1,3,7,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,4,1,6,8,5,2,7]=>[7,2,5,8,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [2,3,5,6,4,8,1,7]=>[7,1,8,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,7,5,2,8,1,3]=>[3,1,8,2,5,7,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [4,8,3,1,6,5,2,7]=>[7,2,5,6,1,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,7,8,5,2,6,3,1]=>[1,3,6,2,5,8,7,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>1 [3,1,4,6,8,5,2,7]=>[7,2,5,8,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [5,2,3,8,6,7,1,4]=>[4,1,7,6,8,3,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [1,7,8,4,6,5,3,2]=>[2,3,5,6,4,8,7,1]=>[1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,2,1,2]=>2 [5,1,4,8,6,7,2,3]=>[3,2,7,6,8,4,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>3 [2,1,3,5,8,6,4,7]=>[7,4,6,8,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [1,3,6,7,8,4,5,2]=>[2,5,4,8,7,6,3,1]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [8,4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [1,8,2,4,3,6,7,5]=>[5,7,6,3,4,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [8,5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5,8]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>2 [8,7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [2,5,3,1,7,4,6,8]=>[8,6,4,7,1,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,4,6,8,5,1,2]=>[2,1,5,8,6,4,7,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [5,4,3,1,2,6,8,7]=>[7,8,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,1,4,3,2,9,8,7,6]=>[6,7,8,9,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1]=>6 [9,1,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,5,3,6,4,8,1,7]=>[7,1,8,4,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [2,5,8,1,4,3,6,7]=>[7,6,3,4,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2,8]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>4 [6,5,4,1,7,3,2,8]=>[8,2,3,7,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,5,8,4,7,2]=>[2,7,4,8,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [7,1,4,8,2,5,6,3]=>[3,6,5,2,8,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [2,7,8,1,3,5,6,4]=>[4,6,5,3,1,8,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>5 [3,2,5,8,1,6,4,7]=>[7,4,6,1,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,1,2,4,5,8,7,6]=>[6,7,8,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>6 [7,3,2,8,5,6,4,1]=>[1,4,6,5,8,2,3,7]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [7,3,6,2,5,8,4,1]=>[1,4,8,5,2,6,3,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [8,6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6,8]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,3,1,2,1]=>1 [1,4,5,8,3,7,2,6]=>[6,2,7,3,8,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [7,5,4,1,6,8,3,2]=>[2,3,8,6,1,4,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [3,7,2,6,1,4,8,5]=>[5,8,4,1,6,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [2,8,7,4,6,5,1,3]=>[3,1,5,6,4,7,8,2]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [2,3,6,4,8,5,1,7]=>[7,1,5,8,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,2,5,1,8,6,3,4]=>[4,3,6,8,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>4 [3,8,5,7,4,1,6,2]=>[2,6,1,4,7,5,8,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>2 [4,8,5,7,2,3,6,1]=>[1,6,3,2,7,5,8,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [6,3,1,5,7,2,8,4]=>[4,8,2,7,5,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,1,5,3,4,2,6]=>[6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [5,3,4,7,2,6,8,1]=>[1,8,6,2,7,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [8,6,3,2,1,5,4,7,9]=>[9,7,4,5,1,2,3,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,2,1,6,4,5,3,8]=>[8,3,5,4,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,6,3,4,8,2,1]=>[1,2,8,4,3,6,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [5,6,8,3,4,7,2,1]=>[1,2,7,4,3,8,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>1 [6,3,4,8,5,2,7,1]=>[1,7,2,5,8,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [5,4,7,2,8,6,3,1]=>[1,3,6,8,2,7,4,5]=>[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>1 [1,6,7,3,4,5,2,8]=>[8,2,5,4,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,5,2,4,6,1,3]=>[3,1,6,4,2,5,8,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>3 [5,8,6,2,4,3,7,1]=>[1,7,3,4,2,6,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,7,2,5,6,8,3,1]=>[1,3,8,6,5,2,7,4]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,6,5,8,3,7,2,1]=>[1,2,7,3,8,5,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [5,2,8,3,1,7,6,4]=>[4,6,7,1,3,8,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>4 [6,3,1,5,8,7,4,2]=>[2,4,7,8,5,1,3,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [2,8,4,3,6,5,1,7]=>[7,1,5,6,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,8,1,4,6,5,3,7]=>[7,3,5,6,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,9,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,9,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0]=>[6,2,1]=>6 [7,9,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,9,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,2,1]=>6 [7,6,1,2,3,4,5,9,8]=>[8,9,5,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [8,10,1,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,1,10,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>[7,2,1]=>7 [8,10,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,10,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[7,2,1]=>7 [6,2,7,3,4,8,1,5]=>[5,1,8,4,3,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,2,8,7,4,3,1,5]=>[5,1,3,4,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [1,4,8,7,3,2,5,6]=>[6,5,2,3,7,8,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [7,8,5,2,6,3,4,1]=>[1,4,3,6,2,5,8,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,3,2,2]=>1 [3,8,5,6,2,1,7,4]=>[4,7,1,2,6,5,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [8,5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [6,5,1,4,8,2,7,3]=>[3,7,2,8,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,2,6,7,3,1,8,4]=>[4,8,1,3,7,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,5,6,1,8,2,4]=>[4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,8,2,6,4,3,1,5]=>[5,1,3,4,6,2,8,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>5 [3,5,6,1,4,7,2,8]=>[8,2,7,4,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,9,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,9,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,1,1,1,1]=>5 [1,5,2,7,3,9,4,6,8]=>[8,6,4,9,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [1,7,2,9,3,4,5,6,8]=>[8,6,5,4,3,9,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [1,10,9,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,9,10,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1,1]=>4 [3,4,5,8,2,6,1,7]=>[7,1,6,2,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [6,7,3,4,2,8,5,1]=>[1,5,8,2,4,3,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [1,4,6,5,7,8,2,3]=>[3,2,8,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [2,8,7,4,3,5,6,1]=>[1,6,5,3,4,7,8,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [6,7,2,5,1,3,8,4]=>[4,8,3,1,5,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,8,7,2,3,6,5,1]=>[1,5,6,3,2,7,8,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [7,5,6,4,2,8,1,3]=>[3,1,8,2,4,6,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [7,4,5,6,2,8,3,1]=>[1,3,8,2,6,5,4,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,3,1,2,7,6,5,8]=>[8,5,6,7,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,1,2,6,7,5,8]=>[8,5,7,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,8,6,2,7,4]=>[4,7,2,6,8,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [4,6,8,1,2,7,3,5]=>[5,3,7,2,1,8,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>5 [2,6,3,8,5,7,1,4]=>[4,1,7,5,8,3,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [7,6,8,2,1,4,3,5]=>[5,3,4,1,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [7,3,4,2,1,6,8,5]=>[5,8,6,1,2,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,7,2,4,3,1,8,5]=>[5,8,1,3,4,2,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,7,2,1,8,6,3,5]=>[5,3,6,8,1,2,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [4,1,2,5,8,6,3,7]=>[7,3,6,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,6,2,8,5,3,7]=>[7,3,5,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,4,2,5,8,6,1,3]=>[3,1,6,8,5,2,4,7]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [7,6,4,2,5,8,1,3]=>[3,1,8,5,2,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [1,5,4,7,8,2,3,6]=>[6,3,2,8,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [6,3,5,2,7,8,1,4]=>[4,1,8,7,2,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [7,10,9,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,9,10,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,2,2,2,1,1]=>2 [5,10,9,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,9,10,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,2,1,1,1,1]=>2 [7,10,9,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,9,10,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,2,1,1]=>2 [6,8,3,4,2,7,5,1]=>[1,5,7,2,4,3,8,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [4,8,2,7,3,1,6,5]=>[5,6,1,3,7,2,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>5 [9,8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8,9]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [8,3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3,8]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>2 [3,6,8,4,2,5,7,1]=>[1,7,5,2,4,8,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [2,5,8,3,4,7,6,1]=>[1,6,7,4,3,8,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>1 [5,2,4,6,3,7,8,1]=>[1,8,7,3,6,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,6,2,5,3,7,1,8]=>[8,1,7,3,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,3,2,5,8,4]=>[4,8,5,2,3,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [6,2,8,7,3,1,4,5]=>[5,4,1,3,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [2,4,3,7,1,5,8,6]=>[6,8,5,1,7,3,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,1,3,8,4,2,6,7]=>[7,6,2,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [3,5,1,7,6,2,4,8]=>[8,4,2,6,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,5,6,3,8,7,1]=>[1,7,8,3,6,5,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [3,1,4,7,8,6,2,5]=>[5,2,6,8,7,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,6,8,2,4,3,1,5]=>[5,1,3,4,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>5 [9,8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8,9]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>3 [9,8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8,9]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>3 [8,2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2,8]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>5 [8,7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [8,3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [1,2,3,6,5,4,7,8,9]=>[9,8,7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,4,5,7,6,8,9,10,1,2]=>[2,1,10,9,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,8]=>2 [3,4,6,7,5,8,9,1,2]=>[2,1,9,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>2 [3,4,7,5,6,8,9,1,2]=>[2,1,9,8,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>2 [1,3,4,7,5,6,8,9,2]=>[2,9,8,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [4,5,8,7,2,1,3,6]=>[6,3,1,2,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [5,4,2,8,1,7,3,6]=>[6,3,7,1,8,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>6 [8,6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [4,5,7,2,3,1,6,8]=>[8,6,1,3,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,3,6,5,2,4,7]=>[7,4,2,5,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,5,7,3,1,2,6,8]=>[8,6,2,1,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,1,2,5,3,4,8]=>[8,4,3,5,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,6,7,3,1,5,8]=>[8,5,1,3,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,1,6,5,4,3,2,9]=>[9,2,3,4,5,6,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,8,7,1,6,5,4,3,2,10]=>[10,2,3,4,5,6,1,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,8,1,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,1,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,1,8,6,5,4,7,2]=>[2,7,4,5,6,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>2 [8,6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6,8]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>3 [8,2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [2,8,1,7,3,6,5,4]=>[4,5,6,3,7,1,8,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>4 [7,2,6,3,8,5,1,4]=>[4,1,5,8,3,6,2,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [7,2,3,6,1,4,5,8]=>[8,5,4,1,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [4,1,7,8,5,6,2,3]=>[3,2,6,5,8,7,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>3 [4,3,5,1,2,8,6,7]=>[7,6,8,2,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [1,2,7,3,6,4,5,8,9]=>[9,8,5,4,6,3,7,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,6,4,7,8,9,5,10]=>[10,5,9,8,7,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3,8]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>4 [5,2,4,6,3,7,1,8]=>[8,1,7,3,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,8,6,4,1,7]=>[7,1,4,6,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [2,7,4,5,3,1,8,6]=>[6,8,1,3,5,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,1,2,7,8,6,5,4]=>[4,5,6,8,7,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>4 [4,7,5,1,8,3,2,6]=>[6,2,3,8,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [5,2,4,3,7,8,6,1]=>[1,6,8,7,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [1,4,8,2,5,7,6,3]=>[3,6,7,5,2,8,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>3 [2,1,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,6,2,1,3,7,8,4]=>[4,8,7,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [8,2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [3,6,5,1,2,7,8,4]=>[4,8,7,2,1,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,3,8,6,7,2,5]=>[5,2,7,6,8,3,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [8,4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4,8]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [5,8,6,3,4,7,1,2]=>[2,1,7,4,3,6,8,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,4,7,6,1,3,8,2]=>[2,8,3,1,6,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,4,7,1,6,3,8,2]=>[2,8,3,6,1,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,4,5,1,6,2,3,8]=>[8,3,2,6,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,1,3,7,8,6,2]=>[2,6,8,7,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [7,3,2,1,5,6,8,4]=>[4,8,6,5,1,2,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,2,1,4,8,3,6,5]=>[5,6,3,8,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [7,3,2,1,5,8,4,6]=>[6,4,8,5,1,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [1,4,6,3,5,7,2,8]=>[8,2,7,5,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,4,3,8,2,6,5]=>[5,6,2,8,3,4,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [1,6,5,8,4,3,7,2]=>[2,7,3,4,8,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>2 [1,3,4,7,5,2,6,8]=>[8,6,2,5,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,5,3,7,8,6,2]=>[2,6,8,7,3,5,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [2,4,5,8,6,3,7,1]=>[1,7,3,6,8,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [2,3,5,4,6,8,1,7]=>[7,1,8,6,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,7,8,5,6,1,2]=>[2,1,6,5,8,7,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [5,3,6,4,8,1,7,2]=>[2,7,1,8,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [8,3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [3,7,6,4,1,2,5,8]=>[8,5,2,1,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,4,2,8,7,5,6,3]=>[3,6,5,7,8,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [1,5,7,3,4,6,2,8]=>[8,2,6,4,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>6 [8,4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4,8]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>3 [5,8,4,6,2,3,7,1]=>[1,7,3,2,6,4,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [6,8,5,2,4,1,3,7]=>[7,3,1,4,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [7,2,6,1,5,4,8,3]=>[3,8,4,5,1,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,4,3,6,1,2,8,5]=>[5,8,2,1,6,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,5,1,4,3,6,2,8]=>[8,2,6,3,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,6,5,2,8,1,4]=>[4,1,8,2,5,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,1,3,7,8,4,2,5]=>[5,2,4,8,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [2,5,1,7,4,6,8,3]=>[3,8,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,8,5,7,2,3,4,1]=>[1,4,3,2,7,5,8,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,3,3,1]=>1 [4,3,5,7,8,1,6,2]=>[2,6,1,8,7,5,3,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [4,6,8,7,1,2,5,3]=>[3,5,2,1,7,8,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [3,7,8,6,1,2,5,4]=>[4,5,2,1,6,8,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>4 [6,8,5,3,4,2,7,1]=>[1,7,2,4,3,5,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [8,5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5,8]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>2 [7,3,5,1,4,6,8,2]=>[2,8,6,4,1,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,7,5,3,2,6,1,8]=>[8,1,6,2,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,5,3,2,1,6,8]=>[8,6,1,2,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,3,6,2,1,5,8]=>[8,5,1,2,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,8,4,2,6,7,1]=>[1,7,6,2,4,8,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,5,2,4,6,1,3,8]=>[8,3,1,6,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,4,6,5,8,2]=>[2,8,5,6,4,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,3,8,6,4,7,1,2]=>[2,1,7,4,6,8,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>2 [3,2,8,6,7,5,4,1]=>[1,4,5,7,6,8,2,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,3,1,2,1]=>1 [1,7,3,4,5,8,6,2]=>[2,6,8,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [6,1,4,5,7,8,3,2]=>[2,3,8,7,5,4,1,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [2,6,5,3,7,1,4,8]=>[8,4,1,7,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,8,6,7,4,2,5]=>[5,2,4,7,6,8,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [4,3,5,8,2,6,7,1]=>[1,7,6,2,8,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [4,3,7,1,8,2,6,5]=>[5,6,2,8,1,7,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,1,3,8,5,4,6,2]=>[2,6,4,5,8,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>2 [8,3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3,8]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>4 [2,8,7,3,6,4,1,5]=>[5,1,4,6,3,7,8,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [6,1,4,5,8,7,2,3]=>[3,2,7,8,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [5,1,3,6,8,7,2,4]=>[4,2,7,8,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,6,3,1,4,7,8,2]=>[2,8,7,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,2,7,3,4,1,6,8]=>[8,6,1,4,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,7,2,5,3,4,1]=>[1,4,3,5,2,7,8,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>1 [2,6,8,5,3,7,4,1]=>[1,4,7,3,5,8,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>1 [2,7,3,4,6,8,5,1]=>[1,5,8,6,4,3,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [4,5,3,7,2,6,8,1]=>[1,8,6,2,7,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,4,7,5,1,2,6,8]=>[8,6,2,1,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,7,5,1,4,6,8]=>[8,6,4,1,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,8,7,2,6,5,4]=>[4,5,6,2,7,8,3,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>4 [1,3,7,4,2,6,5,8]=>[8,5,6,2,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,6,2,4,8,5,3]=>[3,5,8,4,2,6,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [6,1,4,5,7,3,2,8]=>[8,2,3,7,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,8,4,5,1,6]=>[6,1,5,4,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [6,2,8,7,3,1,5,4]=>[4,5,1,3,7,8,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>4 [5,3,1,2,8,7,6,4]=>[4,6,7,8,2,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [3,8,7,1,6,4,2,5]=>[5,2,4,6,1,7,8,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [1,2,3,6,4,10,9,8,5,7]=>[7,5,8,9,10,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0]=>[7,1,1,1]=>7 [5,4,6,3,2,8,1,7]=>[7,1,8,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [5,6,3,2,4,8,1,7]=>[7,1,8,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,6,5,1,2,8,3,7]=>[7,3,8,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7,8]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [5,3,8,4,6,2,1,7]=>[7,1,2,6,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [3,4,2,8,7,5,6,1]=>[1,6,5,7,8,2,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [1,4,8,6,5,3,2,7]=>[7,2,3,5,6,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [1,2,7,4,6,3,5,8]=>[8,5,3,6,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,1,2,3,4,5,8,9]=>[9,8,5,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3,8]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>1 [8,7,6,3,2,1,4,5,9]=>[9,5,4,1,2,3,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,8,7,6,3,2,1,4,5,10]=>[10,5,4,1,2,3,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,6,1,8,5,3,4,2]=>[2,4,3,5,8,1,6,7]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>2 [3,4,7,6,8,5,1,2]=>[2,1,5,8,6,7,4,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [5,6,7,1,8,2,4,3]=>[3,4,2,8,1,7,6,5]=>[1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>3 [4,6,2,5,3,7,8,1]=>[1,8,7,3,5,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,6,1,5,3,2,4,8]=>[8,4,2,3,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,8,2,1,3,5,4]=>[4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>4 [6,2,3,4,5,7,8,9,1]=>[1,9,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [7,1,5,3,4,6,2,8]=>[8,2,6,4,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,4,3,1,2,7,6]=>[6,7,2,1,3,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [6,7,5,2,8,3,4,1]=>[1,4,3,8,2,5,7,6]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [8,3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3,8]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,4,2,1]=>1 [6,5,1,2,3,4,7,8,9]=>[9,8,7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [5,6,4,1,7,8,3,2]=>[2,3,8,7,1,4,6,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [3,2,7,6,4,8,1,5]=>[5,1,8,4,6,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,2,3,8,7,6,1]=>[1,6,7,8,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>1 [2,3,8,6,7,4,1,5]=>[5,1,4,7,6,8,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [2,8,1,6,4,7,3,5]=>[5,3,7,4,6,1,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [2,1,4,3,6,8,5,7,10,9]=>[9,10,7,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,6,3,5,8,7,10,9]=>[9,10,7,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [7,3,6,8,4,2,5,1]=>[1,5,2,4,8,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [1,5,6,2,4,3,7,8]=>[8,7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,8,7,5,3,6,1]=>[1,6,3,5,7,8,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [4,7,2,3,8,6,1,5]=>[5,1,6,8,3,2,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [7,8,4,5,2,6,3,1]=>[1,3,6,2,5,4,8,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,2]=>1 [1,2,3,6,7,8,9,4,10,5]=>[5,10,4,9,8,7,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [2,1,8,4,3,6,7,5]=>[5,7,6,3,4,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [5,1,2,7,4,6,8,3]=>[3,8,6,4,7,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,8,5,6,1,2,3,7]=>[7,3,2,1,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,2,5,7,3,4,8]=>[8,4,3,7,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,4,1,7,5,2,8]=>[8,2,5,7,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,4,8,7,1,2,3,5]=>[5,3,2,1,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [7,2,6,8,1,5,3,4]=>[4,3,5,1,8,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>4 [4,7,2,1,6,8,5,3]=>[3,5,8,6,1,2,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>3 [8,2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>4 [5,4,7,2,3,1,6,8]=>[8,6,1,3,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,4,2,5,1,6,8,3]=>[3,8,6,1,5,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [2,6,1,7,8,4,5,3]=>[3,5,4,8,7,1,6,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [1,7,4,8,6,5,2,3]=>[3,2,5,6,8,4,7,1]=>[1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>3 [2,4,7,5,3,1,6,8]=>[8,6,1,3,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,8,3,6,7,4]=>[4,7,6,3,8,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,3,7,1,4,6,5,8]=>[8,5,6,4,1,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,1,8,6,2,3,7,4]=>[4,7,3,2,6,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [9,8,7,6,5,4,3,10,1,2]=>[2,1,10,3,4,5,6,7,8,9]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,8]=>2 [9,8,7,6,5,10,3,2,1,4]=>[4,1,2,3,10,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,6]=>4 [9,8,7,10,5,4,3,2,1,6]=>[6,1,2,3,4,5,10,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,4]=>6 [8,5,9,7,4,3,2,1,6]=>[6,1,2,3,4,7,9,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0]=>[6,1,2]=>6 [5,6,8,4,2,3,7,1]=>[1,7,3,2,4,8,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [5,2,3,6,8,7,1,4]=>[4,1,7,8,6,3,2,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [8,4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [8,5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5,8]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>1 [1,7,6,3,2,8,5,4]=>[4,5,8,2,3,6,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>4 [4,8,7,6,5,1,3,2,9]=>[9,2,3,1,5,6,7,8,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [4,7,6,1,3,8,2,5]=>[5,2,8,3,1,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,9,8,7,6,5,1,3,2,10]=>[10,2,3,1,5,6,7,8,9,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [3,6,4,5,7,8,1,2]=>[2,1,8,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>2 [8,2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2,8]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [1,7,2,5,6,3,8,4]=>[4,8,3,6,5,2,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,3,5,6,2,1,8,4]=>[4,8,1,2,6,5,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [2,6,4,3,7,1,5,8]=>[8,5,1,7,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,4,7,1,6,3,8]=>[8,3,6,1,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,2,8,6,7,5,3]=>[3,5,7,6,8,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>3 [4,5,8,6,7,2,1,3]=>[3,1,2,7,6,8,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>3 [4,7,3,6,8,5,1,2]=>[2,1,5,8,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [3,8,7,1,5,2,4,6]=>[6,4,2,5,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,5,1,6,8,7,4,2]=>[2,4,7,8,6,1,5,3]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [3,6,2,8,5,7,4,1]=>[1,4,7,5,8,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>1 [8,5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5,8]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>2 [3,5,2,4,1,6,8,7]=>[7,8,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [6,7,2,1,3,5,8,4]=>[4,8,5,3,1,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,7,2,5,8,4,1,6]=>[6,1,4,8,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2,8]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>4 [4,6,3,1,8,5,2,7]=>[7,2,5,8,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,1,5,4,3,2,7,8]=>[8,7,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,6,3,1,5,8]=>[8,5,1,3,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,7,5,1,4,6,2]=>[2,6,4,1,5,7,8,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>2 [4,8,6,3,2,5,7,1]=>[1,7,5,2,3,6,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [8,3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,3,2,1]=>1 [8,5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [8,4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4,8]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>2 [5,4,8,1,6,7,3,2]=>[2,3,7,6,1,8,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>2 [2,1,8,6,7,4,3,5]=>[5,3,4,7,6,8,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>5 [6,5,4,1,3,7,2,8]=>[8,2,7,3,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,4,1,5,7,3,8]=>[8,3,7,5,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,2,8,5,3,6,4]=>[4,6,3,5,8,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>4 [8,4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,3,8,7,5,1,4,6]=>[6,4,1,5,7,8,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [7,5,2,1,4,8,6,3]=>[3,6,8,4,1,2,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [3,8,2,1,6,5,7,4]=>[4,7,5,6,1,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>4 [5,7,6,2,1,4,3,8]=>[8,3,4,1,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,1,8,6,7,2,4]=>[4,2,7,6,8,1,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>4 [2,5,7,6,1,4,3,8]=>[8,3,4,1,6,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,4,1,8,7,2]=>[2,7,8,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [2,8,1,6,7,4,3,5]=>[5,3,4,7,6,1,8,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>5 [2,8,4,5,1,3,7,6]=>[6,7,3,1,5,4,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [2,1,3,7,5,4,6,8]=>[8,6,4,5,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,2,5,1,4,8,3]=>[3,8,4,1,5,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,8,3,6,7,4,2,1]=>[1,2,4,7,6,3,8,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,2,3,1]=>1 [4,1,7,5,6,3,8,2]=>[2,8,3,6,5,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,3,7,1,4,5,2,8]=>[8,2,5,4,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,3,5,6,1,4,8]=>[8,4,1,6,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,9,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,9,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>2 [4,2,8,1,6,5,7,3,9]=>[9,3,7,5,6,1,8,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,9,2,7,1,5,4,6,8]=>[8,6,4,5,1,7,2,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [5,1,2,3,4,6,7,9,8]=>[8,9,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [4,3,2,9,1,8,7,6,5]=>[5,6,7,8,1,9,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1,1]=>5 [5,6,3,2,7,4,8,1]=>[1,8,4,7,2,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,5,4,7,1,3,2,8]=>[8,2,3,1,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,6,4,2,5,1,7]=>[7,1,5,2,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,7,6,4,1,5,3,8]=>[8,3,5,1,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,6,8,4,5,2,3]=>[3,2,5,4,8,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [3,1,7,8,4,5,2,6]=>[6,2,5,4,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,7,8,3,1,5,6,4]=>[4,6,5,1,3,8,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [2,9,10,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,10,9,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,2,2]=>1 [3,7,8,1,2,6,4,5]=>[5,4,6,2,1,8,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [2,3,1,7,8,5,4,6]=>[6,4,5,8,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [8,2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [5,1,4,7,6,2,3,8]=>[8,3,2,6,7,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,3,5,6,1,8,7,4]=>[4,7,8,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [4,5,6,2,8,1,3,7]=>[7,3,1,8,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,4,8,2,7,3,5,1]=>[1,5,3,7,2,8,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>1 [5,7,4,6,8,3,1,2]=>[2,1,3,8,6,4,7,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>2 [5,3,1,6,8,7,4,2]=>[2,4,7,8,6,1,3,5]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>2 [5,3,1,4,8,7,6,2]=>[2,6,7,8,4,1,3,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>2 [5,7,2,4,3,8,6,1]=>[1,6,8,3,4,2,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [6,8,5,7,4,3,1,2]=>[2,1,3,4,7,5,8,6]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>2 [8,6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6,8]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [6,7,3,5,2,1,4,8]=>[8,4,1,2,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,3,4,2,8,5,7,1]=>[1,7,5,8,2,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [10,9,8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1,1]=>4 [10,9,8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8,9,10]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1,1]=>5 [8,4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,4,6,5,2,3,8,1]=>[1,8,3,2,5,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,8,6,3,1,4,7,2]=>[2,7,4,1,3,6,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [5,7,4,6,2,1,3,8]=>[8,3,1,2,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5,8]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>3 [1,3,5,8,7,4,6,2]=>[2,6,4,7,8,5,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [2,1,8,7,3,5,6,4]=>[4,6,5,3,7,8,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>4 [5,6,8,7,4,1,3,2]=>[2,3,1,4,7,8,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>2 [6,2,1,4,7,5,3,8]=>[8,3,5,7,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,7,2,5,6,4,8]=>[8,4,6,5,2,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,8,2,3,5,6,1]=>[1,6,5,3,2,8,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [6,2,4,7,3,5,8,1]=>[1,8,5,3,7,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,5,2,6,8,3,4,1]=>[1,4,3,8,6,2,5,7]=>[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>1 [3,7,2,6,4,5,8,1]=>[1,8,5,4,6,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [4,2,3,7,5,1,8,6]=>[6,8,1,5,7,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5,8]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>2 [8,7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7,8]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>3 [5,7,6,3,1,4,2,8]=>[8,2,4,1,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,1,8,4,6,2,5,3]=>[3,5,2,6,4,8,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>3 [5,6,7,2,4,8,1,3]=>[3,1,8,4,2,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,3,1,8,5,7,4,2]=>[2,4,7,5,8,1,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [5,2,8,7,4,3,6,1]=>[1,6,3,4,7,8,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [1,6,7,3,5,2,4,8]=>[8,4,2,5,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,3,8,6,5,2,1]=>[1,2,5,6,8,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,3,1,2]=>1 [7,2,3,8,1,5,4,6]=>[6,4,5,1,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [2,3,7,6,4,8,1,5]=>[5,1,8,4,6,7,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [5,4,8,7,3,1,6,2]=>[2,6,1,3,7,8,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [8,3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>5 [1,7,2,6,8,4,3,5]=>[5,3,4,8,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>5 [7,4,6,5,3,1,2,8]=>[8,2,1,3,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,8,6,1,2,7,5]=>[5,7,2,1,6,8,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [4,7,1,5,6,8,3,2]=>[2,3,8,6,5,1,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,2,3,6,7,1,4,8]=>[8,4,1,7,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,8,1,2,7,5,6]=>[6,5,7,2,1,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>6 [7,8,5,2,4,3,1,6]=>[6,1,3,4,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [5,4,6,8,1,7,3,2]=>[2,3,7,1,8,6,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>2 [4,2,7,8,5,1,3,6]=>[6,3,1,5,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [4,2,3,7,8,1,5,6]=>[6,5,1,8,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,8,7,3,1,5,6,4]=>[4,6,5,1,3,7,8,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [4,2,3,7,8,6,5,1]=>[1,5,6,8,7,3,2,4]=>[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>1 [3,8,7,5,2,4,6,1]=>[1,6,4,2,5,7,8,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [4,8,7,5,2,3,6,1]=>[1,6,3,2,5,7,8,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [7,3,5,4,1,2,8,6]=>[6,8,2,1,4,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [2,7,6,3,5,1,4,8]=>[8,4,1,5,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,6,4,3,1,5,8]=>[8,5,1,3,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,5,7,8,3,2]=>[2,3,8,7,5,6,1,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [6,1,7,2,4,5,3,8]=>[8,3,5,4,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,7,6,2,3,5,1,8]=>[8,1,5,3,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,6,4,2,5,1,8]=>[8,1,5,2,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,7,1,8,3,4,2,6]=>[6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,8,7,4,2,3,6,1]=>[1,6,3,2,4,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [4,6,5,2,3,7,1,8]=>[8,1,7,3,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,3,7,2,5,6,8]=>[8,6,5,2,7,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,6,2,7,1,4,3]=>[3,4,1,7,2,6,8,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>3 [8,1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1,8]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,3,1,1,1]=>2 [8,2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [6,5,2,4,8,3,7,1]=>[1,7,3,8,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [8,6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6,8]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>1 [6,5,4,7,3,2,1,8,9]=>[9,8,1,2,3,7,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,6,9,5,4,3,2,1,10,8]=>[8,10,1,2,3,4,5,9,6,7]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,2]=>8 [9,8,11,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,11,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0]=>[10,1]=>10 [1,5,6,2,7,4,3,8]=>[8,3,4,7,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,1,4,3,6,8,5]=>[5,8,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,3,7,5,6,1,2,8]=>[8,2,1,6,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,4,5,7,6,1,2,8]=>[8,2,1,6,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,9,5,7,4,3,2,1]=>[1,2,3,4,7,5,9,8,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,3,2]=>1 [3,6,7,8,9,2,5,1,4]=>[4,1,5,2,9,8,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,1,4]=>4 [3,5,7,8,9,2,4,6,1]=>[1,6,4,2,9,8,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,5,3]=>1 [2,4,6,8,9,1,3,5,7]=>[7,5,3,1,9,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0]=>[7,2]=>7 [2,4,6,8,9,10,1,3,5,7]=>[7,5,3,1,10,9,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[7,3]=>7 [9,4,8,3,7,2,6,1,5,10]=>[10,5,1,6,2,7,3,8,4,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,9,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,9,8]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>2 [5,2,7,6,4,1,3,8]=>[8,3,1,4,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [4,2,3,8,7,6,1,5]=>[5,1,6,7,8,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [4,2,3,7,1,6,8,5]=>[5,8,6,1,7,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,3,8,7,6,2,5]=>[5,2,6,7,8,3,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>5 [8,5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5,8]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,1,2,1,1]=>1 [7,3,1,6,4,2,5,8]=>[8,5,2,4,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,7,1,3,5,8,6,4]=>[4,6,8,5,3,1,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>4 [7,2,5,6,3,1,4,8]=>[8,4,1,3,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5,8]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>3 [2,4,5,7,8,6,1,3]=>[3,1,6,8,7,5,4,2]=>[1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [4,5,8,6,3,1,2,7]=>[7,2,1,3,6,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,8,6,3,2,7,4,1]=>[1,4,7,2,3,6,8,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>1 [3,4,8,7,2,5,6,1]=>[1,6,5,2,7,8,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>1 [5,8,7,3,4,2,1,6]=>[6,1,2,4,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [8,6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6,8]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [6,4,8,5,7,3,2,1]=>[1,2,3,7,5,8,4,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,4,1]=>1 [8,1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1,8]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>5 [2,7,3,4,6,1,5,8]=>[8,5,1,6,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,4,6,1,2,5,8]=>[8,5,2,1,6,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,4,5,8,2,7,1]=>[1,7,2,8,5,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [2,5,1,6,8,7,3,4]=>[4,3,7,8,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>4 [5,8,2,3,4,1,7,6]=>[6,7,1,4,3,2,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [4,7,1,2,3,6,8,5]=>[5,8,6,3,2,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,2,3,7,1,6,5,8]=>[8,5,6,1,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,2,1,7,6,4,8]=>[8,4,6,7,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [7,3,5,8,2,6,4,1]=>[1,4,6,2,8,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>1 [5,6,7,1,4,3,8,2]=>[2,8,3,4,1,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,6,8,2,7,3,4,1]=>[1,4,3,7,2,8,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>1 [6,4,3,2,8,5,7,1]=>[1,7,5,8,2,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>1 [3,8,2,7,5,1,6,4]=>[4,6,1,5,7,2,8,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>4 [6,3,7,4,2,5,1,8]=>[8,1,5,2,4,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,6,4,2,7,8,1]=>[1,8,7,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [2,3,1,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [1,8,4,6,5,2,3,7]=>[7,3,2,5,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,1,2,5,8,4,3,7]=>[7,3,4,8,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [4,1,7,6,5,3,8,2]=>[2,8,3,5,6,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,2,8,4,5,1,6,7]=>[7,6,1,5,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [6,1,2,8,5,7,4,3]=>[3,4,7,5,8,2,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>3 [1,2,9,6,3,4,5,7,8]=>[8,7,5,4,3,6,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [1,2,4,3,5,9,6,7,8]=>[8,7,6,9,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [5,3,1,8,7,2,6,4]=>[4,6,2,7,8,1,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>4 [6,1,7,2,5,4,3,8]=>[8,3,4,5,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3,8]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>4 [5,6,1,8,4,7,3,2]=>[2,3,7,4,8,1,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>2 [8,7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7,8]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>2 [6,3,4,7,1,2,8,5]=>[5,8,2,1,7,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [4,1,6,2,8,7,3,5]=>[5,3,7,8,2,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>5 [8,7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7,8]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>2 [7,3,5,6,2,8,4,1]=>[1,4,8,2,6,5,3,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [4,6,8,7,5,1,3,2]=>[2,3,1,5,7,8,6,4]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,2,2,1]=>2 [8,5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [5,2,8,6,7,4,3,1]=>[1,3,4,7,6,8,2,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,1,3,1]=>1 [4,2,6,5,3,7,1,8]=>[8,1,7,3,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,6,7,3,1,5,4]=>[4,5,1,3,7,6,8,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>4 [3,1,4,7,5,6,8,2]=>[2,8,6,5,7,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,5,4,3,8,1,7]=>[7,1,8,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3,8]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>4 [5,2,1,3,8,6,7,4]=>[4,7,6,8,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>4 [4,8,7,5,2,6,1,3]=>[3,1,6,2,5,7,8,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>3 [7,1,8,5,3,6,2,4]=>[4,2,6,3,5,8,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [5,8,2,4,1,7,3,6]=>[6,3,7,1,4,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,6,8,7,3,4,2,1]=>[1,2,4,3,7,8,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,2,3,1]=>1 [7,1,5,3,2,8,4,6]=>[6,4,8,2,3,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [2,7,8,3,5,4,6,1]=>[1,6,4,5,3,8,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [8,3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [3,1,9,8,7,6,5,2,4]=>[4,2,5,6,7,8,9,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1,1]=>4 [7,5,2,6,4,8,1,3]=>[3,1,8,4,6,2,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [6,5,7,1,4,8,3,2]=>[2,3,8,4,1,7,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,3,7,1,8,4,2,6]=>[6,2,4,8,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [9,2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [10,2,4,6,8,1,3,5,7,9]=>[9,7,5,3,1,8,6,4,2,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [1,7,6,2,5,4,3,8]=>[8,3,4,5,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,1,5,7,3,2,8,4]=>[4,8,2,3,7,5,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,8,4,2,3,6,1,5]=>[5,1,6,3,2,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>5 [5,3,4,7,2,1,8,6]=>[6,8,1,2,7,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [3,5,6,7,2,1,4,8]=>[8,4,1,2,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,2,1,3,4,5,8,7]=>[7,8,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [1,4,7,6,8,2,5,3]=>[3,5,2,8,6,7,4,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>3 [3,4,8,6,7,5,2,1]=>[1,2,5,7,6,8,4,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,3,2,1]=>1 [2,1,9,8,7,6,5,4,3,10]=>[10,3,4,5,6,7,8,9,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,8,6,3,2,5,1,7]=>[7,1,5,2,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [6,10,9,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,9,10,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[7,1,1,1]=>7 [5,10,9,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,9,10,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,1,1,1,1]=>6 [4,10,9,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,9,10,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,1,1,1,1,1]=>5 [2,9,8,7,6,5,1,3,4]=>[4,3,1,5,6,7,8,9,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>4 [4,2,6,8,7,5,1,3]=>[3,1,5,7,8,6,2,4]=>[1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>3 [3,7,2,1,6,4,8,5]=>[5,8,4,6,1,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [6,5,7,2,4,8,3,1]=>[1,3,8,4,2,7,5,6]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [6,2,1,7,4,5,8,3]=>[3,8,5,4,7,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,7,8,2,5,3,6,1]=>[1,6,3,5,2,8,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>1 [8,4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,5,2,6,3,4,1,8]=>[8,1,4,3,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,5,1,3,2,6,8]=>[8,6,2,3,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,3,5,2,7,4,8]=>[8,4,7,2,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,2,1,4,3,7,8]=>[8,7,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,3,8,6,2,5,7,1]=>[1,7,5,2,6,8,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>1 [7,6,5,9,8,4,3,2,1]=>[1,2,3,4,8,9,5,6,7]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,4,1]=>1 [5,2,4,8,6,3,7,1]=>[1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [6,3,4,8,5,7,2,1]=>[1,2,7,5,8,4,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>1 [1,4,7,2,5,8,3,6,9]=>[9,6,3,8,5,2,7,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,4,7,3,6,9,2,5,8]=>[8,5,2,9,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>8 [1,5,9,4,8,3,7,2,6]=>[6,2,7,3,8,4,9,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[6,1,1,1]=>6 [1,5,9,2,6,3,7,4,8]=>[8,4,7,3,6,2,9,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>8 [1,5,9,2,6,4,8,3,7]=>[7,3,8,4,6,2,9,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0]=>[7,1,1]=>7 [1,6,3,8,5,2,7,4,9]=>[9,4,7,2,5,8,3,6,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,6,4,9,2,7,5,3,8]=>[8,3,5,7,2,9,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>8 [1,6,5,4,9,2,7,3,8]=>[8,3,7,2,9,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [1,6,4,9,2,7,3,8,5]=>[5,8,3,7,2,9,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,3,1]=>5 [1,7,4,5,6,3,9,2,8]=>[8,2,9,3,6,5,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [1,8,3,6,5,4,7,2,9]=>[9,2,7,4,5,6,3,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,4,7,10,2,5,8,3,6,9]=>[9,6,3,8,5,2,10,7,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[9,1]=>9 [1,5,9,4,8,3,7,2,6,10]=>[10,6,2,7,3,8,4,9,5,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,5,9,2,6,10,3,7,4,8]=>[8,4,7,3,10,6,2,9,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[8,2]=>8 [1,6,3,8,5,10,2,7,4,9]=>[9,4,7,2,10,5,8,3,6,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [1,6,4,9,3,8,2,7,5,10]=>[10,5,7,2,8,3,9,4,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,6,4,9,2,7,5,10,3,8]=>[8,3,10,5,7,2,9,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,2]=>8 [1,7,5,3,9,2,8,6,4,10]=>[10,4,6,8,2,9,3,5,7,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,7,6,5,4,10,3,9,2,8]=>[8,2,9,3,10,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[8,1,1]=>8 [1,7,6,5,4,10,2,8,3,9]=>[9,3,8,2,10,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [1,8,4,5,6,7,3,10,2,9]=>[9,2,10,3,7,6,5,4,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [6,2,4,3,7,8,1,5]=>[5,1,8,7,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [1,9,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,9,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>2 [6,7,1,3,5,4,2,8]=>[8,2,4,5,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,7,6,4,3,1,8]=>[8,1,3,4,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,8,1,6,3,7,4]=>[4,7,3,6,1,8,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>4 [7,1,3,6,4,2,8,5]=>[5,8,2,4,6,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [7,2,3,6,4,1,5,8]=>[8,5,1,4,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,2,6,4,5,7,1]=>[1,7,5,4,6,2,8,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [1,4,8,5,3,7,6,2]=>[2,6,7,3,5,8,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>2 [1,2,3,7,4,5,6,8,9,10]=>[10,9,8,6,5,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,2,8,3,1,4,6,5]=>[5,6,4,1,3,8,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [2,6,7,1,8,3,5,4]=>[4,5,3,8,1,7,6,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [5,2,3,1,7,4,6,8]=>[8,6,4,7,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,8,5,6,2,1,4,7]=>[7,4,1,2,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [5,1,8,7,3,2,4,6]=>[6,4,2,3,7,8,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>6 [4,8,5,3,2,1,7,6]=>[6,7,1,2,3,5,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [8,5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [4,6,3,7,8,5,1,2]=>[2,1,5,8,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [3,6,4,5,7,8,2,1]=>[1,2,8,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>1 [4,6,8,7,3,2,5,1]=>[1,5,2,3,7,8,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>1 [6,1,2,8,4,7,3,5]=>[5,3,7,4,8,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>5 [9,1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1,9]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1,1,1]=>3 [5,1,4,6,7,8,3,2]=>[2,3,8,7,6,4,1,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [7,8,3,2,6,5,1,4]=>[4,1,5,6,2,3,8,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>4 [4,7,2,3,1,6,5,8]=>[8,5,6,1,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,3,4,6,8,2,5,1]=>[1,5,2,8,6,4,3,7]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [7,4,2,6,5,1,8,3]=>[3,8,1,5,6,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [7,8,2,1,6,4,5,3]=>[3,5,4,6,1,2,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>3 [1,6,5,4,8,3,7,2]=>[2,7,3,8,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,7,4,3,2,1,6,8]=>[8,6,1,2,3,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,4,6,8,2,1,3,7]=>[7,3,1,2,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [8,6,5,9,7,4,3,2,1]=>[1,2,3,4,7,9,5,6,8]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,3,2]=>1 [4,5,8,7,1,3,6,2]=>[2,6,3,1,7,8,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [5,2,4,1,7,3,6,8]=>[8,6,3,7,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,2,4,6,1,5,3,8]=>[8,3,5,1,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,4,8,2,3,7,5,1]=>[1,5,7,3,2,8,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [7,4,2,3,6,1,5,8]=>[8,5,1,6,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,4,5,2,3,8,7]=>[7,8,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,7,6,2,3,4,8,1]=>[1,8,4,3,2,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [3,1,10,9,8,7,6,5,2,4]=>[4,2,5,6,7,8,9,10,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1,1,1]=>4 [7,5,2,6,4,8,3,1]=>[1,3,8,4,6,2,5,7]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [7,8,6,2,4,3,1,5]=>[5,1,3,4,2,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>5 [2,6,8,7,1,4,5,3]=>[3,5,4,1,7,8,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>3 [1,8,7,4,6,5,2,3]=>[3,2,5,6,4,7,8,1]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [3,10,9,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,9,10,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1,1]=>2 [5,8,3,6,7,1,4,2]=>[2,4,1,7,6,3,8,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [8,2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2,8]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>1 [8,1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [6,1,4,7,3,5,2,8]=>[8,2,5,3,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,7,5,8,2,6,3]=>[3,6,2,8,5,7,1,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>3 [1,8,7,2,4,6,5,3]=>[3,5,6,4,2,7,8,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>3 [4,6,1,5,7,8,3,2]=>[2,3,8,7,5,1,6,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [1,2,5,6,7,3,8,4,9,10]=>[10,9,4,8,3,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [8,9,1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>7 [4,7,5,3,6,2,1,8]=>[8,1,2,6,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,1,7,5,4,2,3,8]=>[8,3,2,4,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,5,6,7,4,2,8]=>[8,2,4,7,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [9,1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1,9]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,4,1]=>4 [7,5,4,8,6,2,3,1]=>[1,3,2,6,8,4,5,7]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [6,7,5,4,1,3,8,2]=>[2,8,3,1,4,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [4,6,2,8,7,3,1,5]=>[5,1,3,7,8,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>5 [8,2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [7,4,6,5,3,1,8,2]=>[2,8,1,3,5,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,6,8,2,1,4,5,3]=>[3,5,4,1,2,8,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>3 [3,8,5,7,4,1,2,6]=>[6,2,1,4,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [4,8,2,7,3,1,5,6]=>[6,5,1,3,7,2,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>6 [6,1,4,3,5,7,2,8]=>[8,2,7,5,3,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,6,8,2,4,5,3]=>[3,5,4,2,8,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>3 [4,3,8,5,7,2,1,6]=>[6,1,2,7,5,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [8,6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>5 [1,4,2,7,5,6,8,3]=>[3,8,6,5,7,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,6,8,1,2,3,7,5]=>[5,7,3,2,1,8,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,7,8,5,2,3,6,4]=>[4,6,3,2,5,8,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>4 [8,6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6,8]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>4 [6,3,5,4,1,8,2,7]=>[7,2,8,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [4,3,7,6,2,5,1,8]=>[8,1,5,2,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,8,3,4,6,5,7]=>[7,5,6,4,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,8,7,2,3,6,1,5]=>[5,1,6,3,2,7,8,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>5 [8,7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,4,1,1,1]=>1 [2,4,7,5,3,1,8,6]=>[6,8,1,3,5,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [2,4,8,3,6,7,5,1]=>[1,5,7,6,3,8,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>1 [5,4,7,6,2,1,3,8]=>[8,3,1,2,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,1,2,6,5,7,4,8]=>[8,4,7,5,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,8,6,4,2,3,7,1]=>[1,7,3,2,4,6,8,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [4,3,7,5,2,6,8,1]=>[1,8,6,2,5,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,8,4,6,5,2,3,1]=>[1,3,2,5,6,4,8,7]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,2,1,2]=>1 [1,6,3,8,5,7,4,2]=>[2,4,7,5,8,3,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>2 [4,6,1,3,5,7,8,2]=>[2,8,7,5,3,1,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [3,7,4,6,5,1,8,2]=>[2,8,1,5,6,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,4,7,3,8,6,1,5]=>[5,1,6,8,3,7,4,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [4,8,6,5,2,7,3,1]=>[1,3,7,2,5,6,8,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>1 [6,3,1,2,5,7,8,4]=>[4,8,7,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,1,7,8,3,6,2,5]=>[5,2,6,3,8,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>5 [8,3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [3,5,8,7,4,6,1,2]=>[2,1,6,4,7,8,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>2 [2,1,3,7,8,5,4,6]=>[6,4,5,8,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,8,4,7,5,3,6,1]=>[1,6,3,5,7,4,8,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [6,5,1,3,2,4,8,7]=>[7,8,4,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,8,7,2,5,3,6,1]=>[1,6,3,5,2,7,8,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>1 [4,8,5,7,3,6,2,1]=>[1,2,6,3,7,5,8,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,4,1,1]=>1 [2,1,7,6,4,3,5,8]=>[8,5,3,4,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,3,6,4,7,8,5,2]=>[2,5,8,7,4,6,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>2 [1,6,3,4,7,5,2,8]=>[8,2,5,7,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,8,3,2,5,4,1,7]=>[7,1,4,5,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [1,8,7,6,2,5,3,4]=>[4,3,5,2,6,7,8,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>4 [7,4,2,3,1,8,5,6]=>[6,5,8,1,3,2,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [6,3,8,5,1,7,2,4]=>[4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [5,8,3,7,2,4,6,1]=>[1,6,4,2,7,3,8,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>1 [3,7,2,5,6,8,4,1]=>[1,4,8,6,5,2,7,3]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [5,3,7,4,2,1,8,6]=>[6,8,1,2,4,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [6,8,4,3,2,5,7,1]=>[1,7,5,2,3,4,8,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [8,1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [3,6,7,5,1,8,2,4]=>[4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [1,2,3,5,6,4,7,8,9]=>[9,8,7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [3,7,2,6,4,5,1,8]=>[8,1,5,4,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [5,7,1,3,6,4,2,8]=>[8,2,4,6,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,9,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,9,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,2,2,1,1,1]=>2 [7,4,3,6,5,1,8,2]=>[2,8,1,5,6,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [5,1,7,4,3,2,8,6]=>[6,8,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [4,5,6,2,3,8,7,1]=>[1,7,8,3,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [1,8,7,6,5,3,9,4,2]=>[2,4,9,3,5,6,7,8,1]=>[1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,5]=>2 [9,1,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,1,9]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,6,1]=>2 [4,5,2,1,8,6,3,7]=>[7,3,6,8,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [6,8,3,5,7,4,1,2]=>[2,1,4,7,5,3,8,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>2 [4,1,3,7,8,5,6,2]=>[2,6,5,8,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [8,5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5,8]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>4 [6,7,1,2,4,3,8,5]=>[5,8,3,4,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,4,1,7,6,2,5,8]=>[8,5,2,6,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,2,3,4,7,5,6,8,9,10]=>[10,9,8,6,5,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,7,4,3,8,6,5,2]=>[2,5,6,8,3,4,7,1]=>[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>2 [5,2,7,6,1,3,8,4]=>[4,8,3,1,6,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,2,4,3,6,8,5,1]=>[1,5,8,6,3,4,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [6,5,4,3,2,9,1,8,7]=>[7,8,1,9,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[7,1,1]=>7 [1,8,6,5,3,4,7,2]=>[2,7,4,3,5,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [7,4,2,3,5,8,6,1]=>[1,6,8,5,3,2,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>1 [9,8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8,9]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>5 [9,8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8,9]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [1,6,4,7,5,2,8,3]=>[3,8,2,5,7,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [6,5,1,8,3,4,2,7]=>[7,2,4,3,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [1,4,5,2,7,6,8,3]=>[3,8,6,7,2,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [4,8,3,5,1,6,7,2]=>[2,7,6,1,5,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>2 [8,2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [8,4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4,8]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>1 [5,2,7,1,4,8,6,3]=>[3,6,8,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>3 [4,6,1,5,7,3,8,2]=>[2,8,3,7,5,1,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [6,2,4,5,8,7,1,3]=>[3,1,7,8,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [3,7,5,4,1,2,8,6]=>[6,8,2,1,4,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [8,4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4,8]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,3,1,1]=>2 [8,4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [8,4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>6 [5,4,7,2,3,6,1,8]=>[8,1,6,3,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,5,3,6,2,4,8,7]=>[7,8,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [8,1,3,2,5,4,7,6,9]=>[9,6,7,4,5,2,3,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,2,6,5,3,8,4,1]=>[1,4,8,3,5,6,2,7]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,8,5,6,7,2,4,1]=>[1,4,2,7,6,5,8,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,3,1]=>1 [9,10,7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7,10,9]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,2,2]=>1 [6,4,7,3,8,2,9,1,10,5]=>[5,10,1,9,2,8,3,7,4,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,5]=>5 [5,1,4,8,7,6,2,3]=>[3,2,6,7,8,4,1,5]=>[1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>3 [4,5,8,2,7,6,1,3]=>[3,1,6,7,2,8,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>3 [4,3,5,8,7,1,6,2]=>[2,6,1,7,8,5,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>2 [8,2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2,8]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [1,5,3,6,4,7,8,2]=>[2,8,7,4,6,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,3,1,4,5,6,8,7,9]=>[9,7,8,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [7,4,3,8,5,1,2,6]=>[6,2,1,5,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>6 [5,3,2,8,7,4,6,1]=>[1,6,4,7,8,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>1 [7,3,1,2,6,5,4,8]=>[8,4,5,6,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,6,5,4,3,8,2,9,1,10]=>[10,1,9,2,8,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [9,8,7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7,8,9]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1,1]=>1 [5,2,4,1,6,3,7,8]=>[8,7,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,6,1,2,8,4]=>[4,8,2,1,6,7,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [4,2,8,5,6,1,7,3]=>[3,7,1,6,5,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>3 [5,4,7,1,2,6,8,3]=>[3,8,6,2,1,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [5,2,4,6,1,3,7,8]=>[8,7,3,1,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,7,1,8,3,2,4]=>[4,2,3,8,1,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>4 [4,7,3,6,8,1,5,2]=>[2,5,1,8,6,3,7,4]=>[1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>2 [4,8,5,3,6,7,2,1]=>[1,2,7,6,3,5,8,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>1 [6,5,3,1,4,8,7,2]=>[2,7,8,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [2,4,6,5,7,1,3,8]=>[8,3,1,7,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,3,6,4,5,1,7]=>[7,1,5,4,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,7,8,6,5,2,3,1]=>[1,3,2,5,6,8,7,4]=>[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,2,1,2]=>1 [7,8,1,4,3,6,5,2]=>[2,5,6,3,4,1,8,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,3,1,2]=>2 [7,8,6,4,2,1,5,3]=>[3,5,1,2,4,6,8,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>3 [3,7,1,2,6,4,8,5]=>[5,8,4,6,2,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [3,2,4,6,8,5,1,7]=>[7,1,5,8,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [7,2,4,6,8,5,3,1]=>[1,3,5,8,6,4,2,7]=>[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>1 [5,7,2,6,4,8,3,1]=>[1,3,8,4,6,2,7,5]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [7,6,2,8,3,4,1,5]=>[5,1,4,3,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>5 [2,8,7,3,6,4,5,1]=>[1,5,4,6,3,7,8,2]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>1 [4,8,6,1,3,7,2,5]=>[5,2,7,3,1,6,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>5 [7,5,8,3,6,1,4,9,2]=>[2,9,4,1,6,3,8,5,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [8,3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [8,4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4,8]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,4,1,1,1]=>1 [9,6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6,9]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,2,1,1]=>1 [10,7,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,7,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,1,2,1,1]=>1 [2,7,3,6,8,4,5,1]=>[1,5,4,8,6,3,7,2]=>[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>1 [5,2,7,6,3,4,1,8]=>[8,1,4,3,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,1,4,8,7,6,3]=>[3,6,7,8,4,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>3 [8,5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [7,8,3,6,5,4,2,1]=>[1,2,4,5,6,3,8,7]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,2,1,1,2]=>1 [8,7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>1 [2,7,3,4,1,6,5,8]=>[8,5,6,1,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,9,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,9,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,1,2,1]=>2 [4,2,3,5,7,1,6,8]=>[8,6,1,7,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,2,3,6,1,5,7,8]=>[8,7,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,7,1,4,6,8]=>[8,6,4,1,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,6,5,8,7,2,3]=>[3,2,7,8,5,6,1,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [7,4,5,3,1,6,2,8]=>[8,2,6,1,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,5,3,8,6,4,7,1]=>[1,7,4,6,8,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>1 [7,2,8,3,4,1,6,5]=>[5,6,1,4,3,8,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>5 [3,1,8,4,2,6,7,5]=>[5,7,6,2,4,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>5 [1,8,7,6,5,4,2,9,3]=>[3,9,2,4,5,6,7,8,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>3 [1,9,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,9,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,1,3,1]=>2 [7,6,2,1,4,3,5,8]=>[8,5,3,4,1,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,3,4,6,7,8,9,1]=>[1,9,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [3,7,2,4,5,1,8,6]=>[6,8,1,5,4,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,8,5,3,4,2,7,6]=>[6,7,2,4,3,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>6 [5,2,7,6,3,1,4,8]=>[8,4,1,3,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,8,9,6,5,4,3,2,7]=>[7,2,3,4,5,6,9,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,2]=>7 [1,9,10,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,10,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,2]=>8 [2,8,7,6,5,4,9,3,1]=>[1,3,9,4,5,6,7,8,2]=>[1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,6]=>1 [2,9,3,8,4,7,5,6,1]=>[1,6,5,7,4,8,3,9,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,5,1,1,1]=>1 [2,7,6,3,5,8,4,1]=>[1,4,8,5,3,6,7,2]=>[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>1 [3,8,6,2,1,5,4,7]=>[7,4,5,1,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [4,3,1,9,8,7,6,5,2]=>[2,5,6,7,8,9,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1,1]=>2 [7,1,8,2,6,5,3,4]=>[4,3,5,6,2,8,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>4 [7,5,2,6,4,1,8,3]=>[3,8,1,4,6,2,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [8,7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7,8]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>5 [4,7,5,6,1,2,3,8]=>[8,3,2,1,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2,8]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [3,8,6,2,5,4,1,7]=>[7,1,4,5,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [2,4,6,1,3,5,8,7,10,9]=>[9,10,7,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [7,5,3,1,2,4,6,8,9,10]=>[10,9,8,6,4,2,1,3,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [5,3,1,2,4,6,7,8,9,10]=>[10,9,8,7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [4,7,5,2,1,6,8,3]=>[3,8,6,1,2,5,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [1,8,3,2,6,5,4,7]=>[7,4,5,6,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>6 [7,4,6,3,2,5,8,1]=>[1,8,5,2,3,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [5,7,6,4,2,3,8,1]=>[1,8,3,2,4,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [6,1,3,7,8,5,2,4]=>[4,2,5,8,7,3,1,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>4 [6,1,3,2,5,7,4,8]=>[8,4,7,5,2,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,1,3,5,7,6,2,8]=>[8,2,6,7,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [4,5,7,8,6,1,3,2]=>[2,3,1,6,8,7,5,4]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>2 [2,7,8,1,5,6,4,3]=>[3,4,6,5,1,8,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>3 [5,2,8,1,4,3,6,7]=>[7,6,3,4,1,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [9,8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8,9]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>3 [10,9,8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8,9,10]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1,1]=>2 [10,9,8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8,9,10]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>3 [4,7,2,5,3,6,8,1]=>[1,8,6,3,5,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,3,6,4,8,5,2,1]=>[1,2,5,8,4,6,3,7]=>[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>1 [8,5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [5,7,4,2,3,6,1,8]=>[8,1,6,3,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,6,5,3,2,1,4,7,9]=>[9,7,4,1,2,3,5,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [8,6,4,2,1,3,5,7,9,10]=>[10,9,7,5,3,1,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [7,3,5,2,4,6,8,1]=>[1,8,6,4,2,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,3,4,2,5,8,1,6]=>[6,1,8,5,2,4,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>6 [3,4,1,7,6,5,2,8]=>[8,2,5,6,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,8,6,5,1,4]=>[4,1,5,6,8,7,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [3,2,8,6,5,7,1,4]=>[4,1,7,5,6,8,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>4 [8,1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1,8]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>5 [1,2,8,3,4,5,6,7,9]=>[9,7,6,5,4,3,8,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,7,3,4,5,6,8,9]=>[9,8,6,5,4,3,7,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,3,7,4,5,6,8,9]=>[9,8,6,5,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [1,2,9,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,9,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,2,8,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,8,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [1,5,6,3,2,7,4,8]=>[8,4,7,2,3,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,1,3,7,4,6,5,8]=>[8,5,6,4,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,8,1,4,6,3,7,5]=>[5,7,3,6,4,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [7,4,5,1,3,2,8,6]=>[6,8,2,3,1,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,5,7,4,3,6,8,2]=>[2,8,6,3,4,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [7,2,3,4,5,6,8,9,1]=>[1,9,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [2,7,5,6,4,8,3,1]=>[1,3,8,4,6,5,7,2]=>[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>1 [4,8,7,1,3,2,5,6]=>[6,5,2,3,1,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [3,6,2,5,7,4,1,8]=>[8,1,4,7,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,6,3,7,8,4,1,2]=>[2,1,4,8,7,3,6,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>2 [8,7,1,6,5,4,3,9,2]=>[2,9,3,4,5,6,1,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [4,9,8,7,6,3,1,5,2]=>[2,5,1,3,6,7,8,9,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,1,1,1]=>2 [3,6,4,1,8,5,2,7]=>[7,2,5,8,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [3,6,4,1,8,5,7,2]=>[2,7,5,8,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>2 [5,6,3,1,4,8,7,2]=>[2,7,8,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [5,3,4,8,7,2,1,6]=>[6,1,2,7,8,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>6 [3,6,8,7,4,2,1,5]=>[5,1,2,4,7,8,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>5 [6,4,8,5,2,1,3,7]=>[7,3,1,2,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [7,5,6,1,4,8,3,2]=>[2,3,8,4,1,6,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>2 [5,8,4,6,2,1,3,7]=>[7,3,1,2,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [3,8,6,7,1,4,2,5]=>[5,2,4,1,7,6,8,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>5 [5,8,2,3,7,1,6,4]=>[4,6,1,7,3,2,8,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>4 [5,8,1,2,7,4,6,3]=>[3,6,4,7,2,1,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>3 [1,7,4,3,5,2,6,8]=>[8,6,2,5,3,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,8,2,5,4,6,3,1]=>[1,3,6,4,5,2,8,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,2]=>1 [7,5,3,1,9,2,4,6,8]=>[8,6,4,2,9,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>8 [4,2,1,7,6,3,5,8]=>[8,5,3,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,9,1,8,6,4,2]=>[2,4,6,8,1,9,7,5,3]=>[1,1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,2,2,2,1]=>2 [3,7,2,6,4,1,8,5]=>[5,8,1,4,6,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>5 [5,1,4,6,8,7,2,3]=>[3,2,7,8,6,4,1,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>3 [9,7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7,9]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,2,2,1]=>4 [9,7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[6,2,1]=>6 [9,7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [9,10,7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7,10,9]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,2,2,2]=>4 [3,5,1,2,8,7,6,4]=>[4,6,7,8,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>4 [8,3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3,8]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>1 [8,6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [5,8,7,3,1,2,6,4]=>[4,6,2,1,3,7,8,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>4 [4,3,1,7,2,6,5,8]=>[8,5,6,2,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,5,1,2,4,7,8]=>[8,7,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,6,1,5,3,8,7,4]=>[4,7,8,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>4 [3,1,8,6,4,5,2,7]=>[7,2,5,4,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,5,7,1,8,3,6,2]=>[2,6,3,8,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>2 [5,2,1,6,7,3,8,4]=>[4,8,3,7,6,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [1,8,6,2,7,5,4,3]=>[3,4,5,7,2,6,8,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,1,2,1]=>3 [4,6,2,5,8,3,1,7]=>[7,1,3,8,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>7 [8,1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>3 [2,1,4,3,6,8,10,5,7,9]=>[9,7,5,10,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,6,3,5,8,10,7,9]=>[9,7,10,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,6,3,8,5,7,10,9]=>[9,10,7,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,6,3,8,10,5,7,9]=>[9,7,5,10,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,6,8,3,5,7,10,9]=>[9,10,7,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,6,8,3,5,10,7,9]=>[9,7,10,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,6,8,3,10,5,7,9]=>[9,7,5,10,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,1,4,6,8,10,3,5,7,9]=>[9,7,5,3,10,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,3,6,5,8,10,7,9]=>[9,7,10,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,3,6,8,5,10,7,9]=>[9,7,10,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,3,6,8,10,5,7,9]=>[9,7,5,10,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,6,3,5,8,10,7,9]=>[9,7,10,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,6,3,8,10,5,7,9]=>[9,7,5,10,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,6,8,3,5,7,10,9]=>[9,10,7,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,6,8,3,5,10,7,9]=>[9,7,10,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,6,8,3,10,5,7,9]=>[9,7,5,10,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,1,6,8,10,3,5,7,9]=>[9,7,5,3,10,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,1,3,5,8,10,7,9]=>[9,7,10,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,1,3,8,5,7,10,9]=>[9,10,7,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,1,3,8,5,10,7,9]=>[9,7,10,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,1,3,8,10,5,7,9]=>[9,7,5,10,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,1,8,3,5,7,10,9]=>[9,10,7,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,1,8,3,5,10,7,9]=>[9,7,10,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,1,8,3,10,5,7,9]=>[9,7,5,10,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,1,8,10,3,5,7,9]=>[9,7,5,3,10,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,8,1,3,5,7,10,9]=>[9,10,7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,8,1,3,5,10,7,9]=>[9,7,10,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,8,1,3,10,5,7,9]=>[9,7,5,10,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>9 [2,4,6,8,1,10,3,5,7,9]=>[9,7,5,3,10,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>9 [4,2,7,3,8,1,5,6]=>[6,5,1,8,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [1,3,7,8,6,2,5,4]=>[4,5,2,6,8,7,3,1]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>4 [8,1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1,8]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>2 [1,2,4,8,5,3,6,7]=>[7,6,3,5,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>7 [4,7,8,2,3,6,5,1]=>[1,5,6,3,2,8,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>1 [6,8,4,3,5,2,1,7]=>[7,1,2,5,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [8,6,9,5,4,3,2,1,7]=>[7,1,2,3,4,5,9,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,2]=>7 [2,7,5,1,6,4,8,3]=>[3,8,4,6,1,5,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>3 [3,1,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1]=>4 [5,4,8,6,7,1,3,2]=>[2,3,1,7,6,8,4,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>2 [4,1,3,2,9,8,7,6,5]=>[5,6,7,8,9,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1,1]=>5 [6,1,5,4,3,2,9,8,7]=>[7,8,9,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1]=>7 [7,1,6,5,4,3,2,9,8]=>[8,9,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>8 [8,2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [4,6,3,1,5,8,2,7]=>[7,2,8,5,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [3,8,6,2,1,4,7,5]=>[5,7,4,1,2,6,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>5 [9,8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8,9]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>2 [3,1,7,6,4,5,8,2]=>[2,8,5,4,6,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>6 [4,8,3,5,2,6,7,1]=>[1,7,6,2,5,3,8,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>1 [7,5,8,2,3,4,1,6]=>[6,1,4,3,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [10,1,2,3,6,7,4,5,8,9]=>[9,8,5,4,7,6,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>9 [2,3,8,9,6,7,4,5,10,1]=>[1,10,5,4,7,6,9,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [2,3,8,9,4,5,6,7,10,1]=>[1,10,7,6,5,4,9,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [2,3,6,7,8,9,4,5,10,1]=>[1,10,5,4,9,8,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [2,3,4,7,8,5,6,9,10,1]=>[1,10,9,6,5,8,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [8,6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [9,8,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,8,9]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>3 [10,9,2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2,9,10]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>3 [9,8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8,9]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>3 [5,2,6,1,7,8,3,4]=>[4,3,8,7,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [6,2,5,7,3,8,1,4]=>[4,1,8,3,7,5,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>4 [4,3,5,7,1,8,6,2]=>[2,6,8,1,7,5,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>2 [1,10,8,9,6,7,4,5,2,3]=>[3,2,5,4,7,6,9,8,10,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,2,1]=>3 [1,12,10,11,8,9,6,7,4,5,2,3]=>[3,2,5,4,7,6,9,8,11,10,12,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,2,2,1]=>3 [7,8,2,4,5,3,1,6]=>[6,1,3,5,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>6 [3,5,2,4,6,7,1,8]=>[8,1,7,6,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,2,7,5,1,4,8,6]=>[6,8,4,1,5,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [5,7,4,8,6,2,3,1]=>[1,3,2,6,8,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,2]=>1 [6,3,4,5,1,8,7,2]=>[2,7,8,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>2 [7,2,9,8,6,5,4,3,1]=>[1,3,4,5,6,8,9,2,7]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,1,1,2,1]=>1 [4,8,9,7,6,5,3,2,1]=>[1,2,3,5,6,7,9,8,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,1,2,1,1,2]=>1 [7,8,9,6,5,4,2,3,1]=>[1,3,2,4,5,6,9,8,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,1,3]=>1 [7,3,4,6,5,1,8,2]=>[2,8,1,5,6,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [2,5,7,6,3,4,8,1]=>[1,8,4,3,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>1 [7,8,3,6,4,2,5,1]=>[1,5,2,4,6,3,8,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,4,1,2]=>1 [3,1,8,4,7,6,2,5]=>[5,2,6,7,4,8,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>5 [5,1,6,4,2,8,3,7]=>[7,3,8,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>7 [8,7,6,3,9,5,2,1,4]=>[4,1,2,5,9,3,6,7,8]=>[1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,1,4]=>4 [6,2,1,4,7,3,5,8]=>[8,5,3,7,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,7,2,1,6,4,5,8]=>[8,5,4,6,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,9,8,7,6,1,5,4,2]=>[2,4,5,1,6,7,8,9,3]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>2 [5,6,4,1,3,7,8,2]=>[2,8,7,3,1,4,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>2 [8,3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>7 [7,1,6,5,4,3,2,8,9]=>[9,8,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [2,1,3,7,6,8,4,5]=>[5,4,8,6,7,3,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [4,8,3,2,6,7,5,1]=>[1,5,7,6,2,3,8,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>1 [1,4,7,6,3,5,2,8]=>[8,2,5,3,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,2,8,3,9,6,5,4,10]=>[10,4,5,6,9,3,8,2,7,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [2,7,1,3,8,6,4,5]=>[5,4,6,8,3,1,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>5 [8,7,6,5,4,1,9,2,3]=>[3,2,9,1,4,5,6,7,8]=>[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,6]=>3 [4,2,3,7,8,5,6,1]=>[1,6,5,8,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>1 [1,2,9,8,7,6,5,4,3,10]=>[10,3,4,5,6,7,8,9,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>10 [10,8,9,6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6,9,8,10]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,2,2,1]=>1 [6,3,2,1,7,5,8,4]=>[4,8,5,7,1,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [7,6,9,5,4,3,2,8,1]=>[1,8,2,3,4,5,9,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,7,1]=>1 [9,8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8,9]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1,1]=>4 [7,2,3,4,5,6,8,9,10,1]=>[1,10,9,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [7,2,5,6,4,1,3,8]=>[8,3,1,4,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,6,2,5,7,1,8,4]=>[4,8,1,7,5,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,6,4,2,5,7,8]=>[8,7,5,2,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [2,4,9,1,3,8,7,6,5]=>[5,6,7,8,3,1,9,4,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1,1]=>5 [1,2,5,9,4,8,3,7,6]=>[6,7,3,8,4,9,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1,1]=>6 [2,4,6,9,1,3,5,8,7]=>[7,8,5,3,1,9,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[7,1,1]=>7 [2,4,10,1,3,9,8,7,6,5]=>[5,6,7,8,9,3,1,10,4,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1,1,1]=>5 [4,1,7,3,6,8,2,5]=>[5,2,8,6,3,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>5 [6,8,7,2,3,1,5,4]=>[4,5,1,3,2,7,8,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>4 [2,7,1,3,4,6,5,8]=>[8,5,6,4,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,3,8,4,2,6,1,7]=>[7,1,6,2,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [5,1,7,3,2,6,4,8]=>[8,4,6,2,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,5,4,1,3,2,7,8]=>[8,7,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [5,2,4,3,6,7,8,9,1]=>[1,9,8,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [5,2,3,4,6,7,8,9,10,1]=>[1,10,9,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [6,2,3,5,4,7,8,9,1]=>[1,9,8,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [7,2,3,4,6,5,8,9,1]=>[1,9,8,5,6,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [8,2,3,4,5,7,6,9,1]=>[1,9,6,7,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [8,2,3,4,5,6,7,9,10,1]=>[1,10,9,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [2,1,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>5 [6,1,8,5,3,4,2,7]=>[7,2,4,3,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [8,4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4,8]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [8,5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>6 [6,9,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,9,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[7,1,1]=>7 [7,10,6,9,5,4,3,2,1,8]=>[8,1,2,3,4,5,9,6,10,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0]=>[8,1,1]=>8 [5,9,8,4,7,3,2,1,6]=>[6,1,2,3,7,4,8,9,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[6,1,1,1]=>6 [1,7,8,2,3,5,4,6]=>[6,4,5,3,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [4,6,5,1,3,2,7,8]=>[8,7,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>2 [3,8,6,7,4,5,2,1]=>[1,2,5,4,7,6,8,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,3,2,1]=>1 [2,8,6,1,4,5,3,7]=>[7,3,5,4,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>7 [9,1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [8,4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4,8]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>1 [4,1,5,3,7,2,6,8]=>[8,6,2,7,3,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,8,5,1,3,6,2]=>[2,6,3,1,5,8,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>2 [9,1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1,9]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>6 [4,7,6,5,9,8,3,2,1]=>[1,2,3,8,9,5,6,7,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,5,1]=>1 [7,2,1,6,4,3,5,8]=>[8,5,3,4,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [3,5,7,6,2,1,8,4]=>[4,8,1,2,6,7,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>4 [3,1,2,7,8,5,4,6]=>[6,4,5,8,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>6 [2,5,4,1,3,6,8,7]=>[7,8,6,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [5,4,3,1,9,8,7,6,2]=>[2,6,7,8,9,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1,1]=>2 [6,5,2,1,10,9,8,7,4,3]=>[3,4,7,8,9,10,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,1,3,1,1,1]=>3 [3,7,5,8,4,2,6,1]=>[1,6,2,4,8,5,7,3]=>[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>1 [5,7,2,1,4,3,6,8]=>[8,6,3,4,1,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,6,5,2,4,3,8,7]=>[7,8,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [4,2,8,5,7,3,1,6]=>[6,1,3,7,5,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>6 [1,5,2,4,3,7,8,6]=>[6,8,7,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [7,1,2,3,4,5,6,10,9,8]=>[8,9,10,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,1,1]=>8 [4,6,3,7,2,8,1,9,5]=>[5,9,1,8,2,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,4]=>5 [1,6,8,2,4,7,5,3]=>[3,5,7,4,2,8,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>3 [3,5,7,2,4,6,8,9,1]=>[1,9,8,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>1 [3,5,7,9,2,4,6,8,10,1]=>[1,10,8,6,4,2,9,7,5,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1 [5,4,3,2,9,1,8,7,6]=>[6,7,8,1,9,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1,1]=>6 [3,2,9,1,8,7,6,5,4]=>[4,5,6,7,8,1,9,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1,1]=>4 [6,5,4,3,10,2,9,1,8,7]=>[7,8,1,9,2,10,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0]=>[7,1,1,1]=>7 [6,5,4,3,2,10,9,1,8,7]=>[7,8,1,9,10,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0]=>[7,1,1,1]=>7 [3,2,10,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,10,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1,1,1]=>4 [4,3,5,7,1,2,8,6]=>[6,8,2,1,7,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>6 [1,10,2,9,3,8,6,7,4,5]=>[5,4,7,6,8,3,9,2,10,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,2,1,1,1]=>5 [2,7,1,5,3,6,4,8]=>[8,4,6,3,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [1,7,4,6,5,2,3,8]=>[8,3,2,5,6,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [6,7,2,4,5,8,1,3]=>[3,1,8,5,4,2,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>3 [8,4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>1 [7,1,4,3,2,6,5,8]=>[8,5,6,2,3,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [8,5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>4 [4,3,8,5,6,2,1,7]=>[7,1,2,6,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>7 [4,3,7,5,6,2,1,8]=>[8,1,2,6,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [7,4,8,5,1,2,3,6]=>[6,3,2,1,5,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>6 [2,5,6,8,4,1,7,3]=>[3,7,1,4,8,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>3 [8,6,4,1,3,2,5,7,9]=>[9,7,5,2,3,1,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [9,2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2,9]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>3 [3,8,7,2,4,5,1,6]=>[6,1,5,4,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>6 [9,8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8,9]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1,1,1,1]=>1 [5,1,2,3,4,9,8,7,6]=>[6,7,8,9,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1,1]=>6 [4,7,6,2,1,3,5,8]=>[8,5,3,1,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>8 [9,1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [1,8,6,9,7,5,4,3,2]=>[2,3,4,5,7,9,6,8,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,1,2,2]=>2 [9,7,5,3,1,2,8,6,4]=>[4,6,8,2,1,3,5,7,9]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[4,2,2,1]=>4 [4,9,8,7,6,1,5,3,2]=>[2,3,5,1,6,7,8,9,4]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>2 [7,10,9,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,9,10,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,1,1,1,2,1,1]=>2 [4,5,2,3,6,8,7,1]=>[1,7,8,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>1 [9,7,5,3,10,1,2,4,6,8]=>[8,6,4,2,1,10,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0]=>[8,2]=>8 [7,9,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>8 [7,6,5,4,3,8,1,9,2]=>[2,9,1,8,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>2 [9,3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>8 [7,3,2,4,6,8,5,1]=>[1,5,8,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>1 [1,7,3,8,6,5,4,2]=>[2,4,5,6,8,3,7,1]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,1,2]=>2 [5,4,2,1,10,9,8,7,6,3]=>[3,6,7,8,9,10,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1,1,1]=>3 [7,6,2,1,10,9,8,5,4,3]=>[3,4,5,8,9,10,1,2,6,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,1,1,3,1,1]=>3 [2,9,3,8,4,7,6,5,1]=>[1,5,6,7,4,8,3,9,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,1,1,1,1]=>1 [9,1,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,1,9]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1,1]=>6 [4,1,5,3,2,6,8,7]=>[7,8,6,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>7 [3,9,8,2,1,7,6,5,4]=>[4,5,6,7,1,2,8,9,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>4 [10,8,9,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,9,8,10]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[5,2,2,1]=>5 [10,8,9,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,9,8,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[7,2,1]=>7 [3,8,6,7,4,2,5,1]=>[1,5,2,4,7,6,8,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,1]=>1 [3,7,6,8,2,4,5,1]=>[1,5,4,2,8,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>1 [6,9,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,9,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0]=>[5,2,1,1]=>5 [6,10,9,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,9,10,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[5,2,1,1,1]=>5 [9,8,7,6,4,10,3,2,1,5]=>[5,1,2,3,10,4,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,5]=>5 [8,3,2,7,6,5,4,1,9]=>[9,1,4,5,6,7,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>9 [6,9,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,9,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,3,1,1]=>1 [3,9,8,7,2,1,6,5,4]=>[4,5,6,1,2,7,8,9,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>4 [10,1,2,3,4,5,9,8,6,7]=>[7,6,8,9,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,1,1]=>7 [1,6,5,4,3,8,9,2,7]=>[7,2,9,8,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>7 [1,2,7,6,5,4,9,3,8]=>[8,3,9,4,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>8 [8,1,9,7,6,5,4,2,3]=>[3,2,4,5,6,7,9,1,8]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,1,2]=>3 [1,8,2,9,7,6,5,4,3]=>[3,4,5,6,7,9,2,8,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,1,2]=>3