=>

[1]=>[1]=>[1]=>[1,0]=>0 [1,2]=>[1,2]=>[1,2]=>[1,0,1,0]=>1 [2,1]=>[2,1]=>[2,1]=>[1,1,0,0]=>0 [1,3,2]=>[1,3,2]=>[1,3,2]=>[1,0,1,1,0,0]=>2 [2,1,3]=>[2,1,3]=>[2,1,3]=>[1,1,0,0,1,0]=>1 [2,3,1]=>[1,3,2]=>[1,3,2]=>[1,0,1,1,0,0]=>2 [3,1,2]=>[3,1,2]=>[2,3,1]=>[1,1,0,1,0,0]=>2 [3,2,1]=>[3,2,1]=>[3,2,1]=>[1,1,1,0,0,0]=>0 [1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[1,0,1,1,0,0,1,0]=>3 [1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>[1,0,1,1,1,0,0,0]=>3 [2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[1,1,0,0,1,1,0,0]=>2 [2,3,1,4]=>[1,3,2,4]=>[1,3,2,4]=>[1,0,1,1,0,0,1,0]=>3 [2,4,1,3]=>[2,4,1,3]=>[3,1,4,2]=>[1,1,1,0,0,1,0,0]=>2 [2,4,3,1]=>[1,4,3,2]=>[1,4,3,2]=>[1,0,1,1,1,0,0,0]=>3 [3,1,4,2]=>[2,1,4,3]=>[2,1,4,3]=>[1,1,0,0,1,1,0,0]=>2 [3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>[1,1,1,0,0,0,1,0]=>1 [3,2,4,1]=>[2,1,4,3]=>[2,1,4,3]=>[1,1,0,0,1,1,0,0]=>2 [3,4,1,2]=>[2,4,1,3]=>[3,1,4,2]=>[1,1,1,0,0,1,0,0]=>2 [3,4,2,1]=>[1,4,3,2]=>[1,4,3,2]=>[1,0,1,1,1,0,0,0]=>3 [4,1,3,2]=>[4,1,3,2]=>[2,4,3,1]=>[1,1,0,1,1,0,0,0]=>4 [4,2,1,3]=>[4,2,1,3]=>[3,2,4,1]=>[1,1,1,0,0,1,0,0]=>2 [4,2,3,1]=>[4,1,3,2]=>[2,4,3,1]=>[1,1,0,1,1,0,0,0]=>4 [4,3,1,2]=>[4,3,1,2]=>[3,4,2,1]=>[1,1,1,0,1,0,0,0]=>3 [4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>[1,1,1,1,0,0,0,0]=>0 [1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>4 [1,3,5,2,4]=>[1,3,5,2,4]=>[1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>5 [1,4,2,5,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>4 [1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>4 [1,4,3,5,2]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>4 [1,4,5,2,3]=>[1,3,5,2,4]=>[1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>5 [1,5,3,2,4]=>[1,5,3,2,4]=>[1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0]=>5 [1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>4 [2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>3 [2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [2,3,1,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>4 [2,3,5,1,4]=>[1,3,5,2,4]=>[1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>5 [2,4,1,5,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>4 [2,4,3,1,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>4 [2,4,3,5,1]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>4 [2,4,5,1,3]=>[1,3,5,2,4]=>[1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>5 [2,5,1,4,3]=>[2,5,1,4,3]=>[3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>4 [2,5,3,1,4]=>[1,5,3,2,4]=>[1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0]=>5 [2,5,4,1,3]=>[2,5,4,1,3]=>[4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>3 [2,5,4,3,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>4 [3,1,4,2,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>3 [3,1,5,4,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>2 [3,2,4,1,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>3 [3,2,5,1,4]=>[3,2,5,1,4]=>[4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>2 [3,2,5,4,1]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [3,4,1,5,2]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>4 [3,4,2,1,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>4 [3,4,2,5,1]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>4 [3,4,5,1,2]=>[1,3,5,2,4]=>[1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>5 [3,5,1,4,2]=>[2,5,1,4,3]=>[3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>4 [3,5,2,1,4]=>[3,5,2,1,4]=>[4,3,1,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>2 [3,5,2,4,1]=>[2,5,1,4,3]=>[3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>4 [3,5,4,1,2]=>[2,5,4,1,3]=>[4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>3 [3,5,4,2,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>4 [4,1,3,2,5]=>[4,1,3,2,5]=>[2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0]=>5 [4,1,5,3,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [4,2,1,5,3]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>2 [4,2,3,1,5]=>[4,1,3,2,5]=>[2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0]=>5 [4,2,5,1,3]=>[3,2,5,1,4]=>[4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>2 [4,2,5,3,1]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [4,3,1,5,2]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>2 [4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>1 [4,3,2,5,1]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>2 [4,3,5,1,2]=>[3,2,5,1,4]=>[4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>2 [4,3,5,2,1]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>3 [4,5,1,3,2]=>[2,5,1,4,3]=>[3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>4 [4,5,2,1,3]=>[3,5,2,1,4]=>[4,3,1,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>2 [4,5,2,3,1]=>[2,5,1,4,3]=>[3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>4 [4,5,3,1,2]=>[2,5,4,1,3]=>[4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>3 [4,5,3,2,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>4 [5,1,4,3,2]=>[5,1,4,3,2]=>[2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>6 [5,2,1,4,3]=>[5,2,1,4,3]=>[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>4 [5,2,4,1,3]=>[5,2,4,1,3]=>[4,2,5,3,1]=>[1,1,1,1,0,0,1,0,0,0]=>3 [5,2,4,3,1]=>[5,1,4,3,2]=>[2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>6 [5,3,1,4,2]=>[5,2,1,4,3]=>[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>4 [5,3,2,1,4]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>2 [5,3,2,4,1]=>[5,2,1,4,3]=>[3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>4 [5,3,4,1,2]=>[5,2,4,1,3]=>[4,2,5,3,1]=>[1,1,1,1,0,0,1,0,0,0]=>3 [5,3,4,2,1]=>[5,1,4,3,2]=>[2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>6 [5,4,1,3,2]=>[5,4,1,3,2]=>[3,5,4,2,1]=>[1,1,1,0,1,1,0,0,0,0]=>6 [5,4,2,1,3]=>[5,4,2,1,3]=>[4,3,5,2,1]=>[1,1,1,1,0,0,1,0,0,0]=>3 [5,4,2,3,1]=>[5,4,1,3,2]=>[3,5,4,2,1]=>[1,1,1,0,1,1,0,0,0,0]=>6 [5,4,3,1,2]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[1,1,1,1,0,1,0,0,0,0]=>4 [5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>0 [1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [1,3,6,5,2,4]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [1,4,2,5,3,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,4,2,6,5,3]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,4,3,5,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,4,3,6,2,5]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,4,3,6,5,2]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,4,6,2,5,3]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [1,4,6,3,2,5]=>[1,4,6,3,2,5]=>[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,4,6,3,5,2]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [1,4,6,5,2,3]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [1,5,2,6,4,3]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,3,2,6,4]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,3,6,2,4]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,5,3,6,4,2]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,4,2,6,3]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>5 [1,5,4,3,6,2]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,5,4,6,2,3]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,5,4,6,3,2]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,5,6,2,4,3]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [1,5,6,3,2,4]=>[1,4,6,3,2,5]=>[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,5,6,3,4,2]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [1,5,6,4,2,3]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [1,6,3,2,5,4]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [1,6,3,5,2,4]=>[1,6,3,5,2,4]=>[1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [1,6,4,2,5,3]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [1,6,4,3,2,5]=>[1,6,4,3,2,5]=>[1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,6,4,3,5,2]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [1,6,4,5,2,3]=>[1,6,3,5,2,4]=>[1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [1,6,5,3,2,4]=>[1,6,5,3,2,4]=>[1,5,4,6,3,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>5 [2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [2,1,4,6,3,5]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [2,1,5,3,6,4]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,1,5,4,6,3]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [2,1,5,6,3,4]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [2,1,6,4,3,5]=>[2,1,6,4,3,5]=>[2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [2,3,1,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>5 [2,3,1,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,3,6,1,5,4]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,3,6,5,1,4]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,4,1,5,3,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>5 [2,4,1,6,5,3]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,3,1,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,4,3,5,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>5 [2,4,3,6,1,5]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,4,3,6,5,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,4,6,1,5,3]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,4,6,3,1,5]=>[1,4,6,3,2,5]=>[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,4,6,3,5,1]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,4,6,5,1,3]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,5,1,4,3,6]=>[2,5,1,4,3,6]=>[3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>5 [2,5,1,6,4,3]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,3,1,6,4]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,3,6,1,4]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,5,3,6,4,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,4,1,6,3]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,4,3,1,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>5 [2,5,4,3,6,1]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,5,4,6,1,3]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,5,4,6,3,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,5,6,1,4,3]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,5,6,3,1,4]=>[1,4,6,3,2,5]=>[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,5,6,3,4,1]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,5,6,4,1,3]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [2,6,3,1,5,4]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,6,3,5,1,4]=>[1,6,3,5,2,4]=>[1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,6,4,1,5,3]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,6,4,3,1,5]=>[1,6,4,3,2,5]=>[1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,6,4,3,5,1]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,6,4,5,1,3]=>[1,6,3,5,2,4]=>[1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [2,6,5,3,1,4]=>[1,6,5,3,2,4]=>[1,5,4,6,3,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [2,6,5,4,3,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>5 [3,1,4,2,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [3,1,4,6,2,5]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [3,1,5,2,6,4]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [3,1,5,4,2,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,1,5,4,6,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [3,1,5,6,2,4]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [3,1,6,4,2,5]=>[2,1,6,4,3,5]=>[2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [3,1,6,5,4,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>3 [3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [3,2,4,1,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [3,2,4,6,1,5]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [3,2,5,1,6,4]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [3,2,5,4,1,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,5,4,6,1]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [3,2,5,6,1,4]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [3,2,6,4,1,5]=>[2,1,6,4,3,5]=>[2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [3,2,6,5,4,1]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [3,4,1,5,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>5 [3,4,1,6,5,2]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,2,1,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,4,2,5,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>5 [3,4,2,6,1,5]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,4,2,6,5,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,4,6,1,5,2]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,4,6,2,1,5]=>[1,4,6,3,2,5]=>[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,4,6,2,5,1]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,4,6,5,1,2]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,5,1,4,2,6]=>[2,5,1,4,3,6]=>[3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>5 [3,5,1,6,4,2]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,2,1,6,4]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,2,4,1,6]=>[2,5,1,4,3,6]=>[3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>5 [3,5,2,6,1,4]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,5,2,6,4,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,4,1,6,2]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,4,2,1,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>5 [3,5,4,2,6,1]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,5,4,6,1,2]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,5,4,6,2,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,5,6,2,1,4]=>[1,4,6,3,2,5]=>[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,5,6,4,1,2]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,6,1,5,4,2]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [3,6,2,5,4,1]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [3,6,4,1,5,2]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,6,4,2,1,5]=>[1,6,4,3,2,5]=>[1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,6,4,2,5,1]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,6,4,5,1,2]=>[1,6,3,5,2,4]=>[1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,6,5,1,4,2]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [3,6,5,2,4,1]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [3,6,5,4,1,2]=>[2,6,5,4,1,3]=>[5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [3,6,5,4,2,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>5 [4,1,3,2,6,5]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [4,1,3,6,2,5]=>[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [4,1,5,2,6,3]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [4,1,5,3,2,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,1,5,3,6,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [4,1,5,6,2,3]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [4,1,6,3,2,5]=>[4,1,6,3,2,5]=>[2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [4,1,6,5,3,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [4,2,1,5,3,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>3 [4,2,1,6,5,3]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,2,3,1,6,5]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [4,2,3,6,1,5]=>[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [4,2,5,1,6,3]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [4,2,5,3,1,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,5,3,6,1]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [4,2,5,6,1,3]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [4,2,6,1,5,3]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [4,2,6,3,1,5]=>[4,1,6,3,2,5]=>[2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [4,2,6,5,1,3]=>[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [4,2,6,5,3,1]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [4,3,1,5,2,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>3 [4,3,1,6,5,2]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>2 [4,3,2,5,1,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>3 [4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [4,3,2,6,5,1]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,5,1,6,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [4,3,5,2,1,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,5,2,6,1]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>4 [4,3,5,6,1,2]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>5 [4,3,6,1,5,2]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [4,3,6,2,5,1]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [4,3,6,5,1,2]=>[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [4,3,6,5,2,1]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [4,5,1,3,2,6]=>[2,5,1,4,3,6]=>[3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>5 [4,5,1,6,3,2]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,2,1,6,3]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,2,3,1,6]=>[2,5,1,4,3,6]=>[3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>5 [4,5,2,6,1,3]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,5,2,6,3,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,3,1,6,2]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,3,2,1,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>5 [4,5,3,2,6,1]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,5,3,6,1,2]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,5,3,6,2,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,5,6,1,3,2]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,5,6,2,1,3]=>[1,4,6,3,2,5]=>[1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,5,6,2,3,1]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,5,6,3,1,2]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,6,1,5,3,2]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [4,6,2,1,5,3]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [4,6,2,5,1,3]=>[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [4,6,2,5,3,1]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [4,6,3,1,5,2]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[5,4,3,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [4,6,3,2,5,1]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [4,6,3,5,1,2]=>[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [4,6,3,5,2,1]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [4,6,5,1,3,2]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,6,5,2,1,3]=>[3,6,5,2,1,4]=>[5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [4,6,5,2,3,1]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,6,5,3,1,2]=>[2,6,5,4,1,3]=>[5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [4,6,5,3,2,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>5 [5,1,3,2,6,4]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [5,1,3,6,2,4]=>[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [5,1,4,2,6,3]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [5,1,4,3,2,6]=>[5,1,4,3,2,6]=>[2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>7 [5,1,4,3,6,2]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [5,1,4,6,2,3]=>[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [5,1,6,3,2,4]=>[4,1,6,3,2,5]=>[2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [5,1,6,4,3,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [5,2,1,4,3,6]=>[5,2,1,4,3,6]=>[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>5 [5,2,1,6,4,3]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,2,3,1,6,4]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [5,2,3,6,1,4]=>[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [5,2,4,1,6,3]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [5,2,4,3,1,6]=>[5,1,4,3,2,6]=>[2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>7 [5,2,4,3,6,1]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [5,2,4,6,1,3]=>[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [5,2,6,1,4,3]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [5,2,6,3,1,4]=>[4,1,6,3,2,5]=>[2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [5,2,6,4,1,3]=>[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,6,4,3,1]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [5,3,1,4,2,6]=>[5,2,1,4,3,6]=>[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>5 [5,3,1,6,4,2]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,3,2,1,6,4]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>2 [5,3,2,4,1,6]=>[5,2,1,4,3,6]=>[3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>5 [5,3,2,6,1,4]=>[4,3,2,6,1,5]=>[5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,3,2,6,4,1]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,3,4,1,6,2]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [5,3,4,2,1,6]=>[5,1,4,3,2,6]=>[2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>7 [5,3,4,2,6,1]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>6 [5,3,4,6,1,2]=>[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [5,3,6,1,4,2]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [5,3,6,2,1,4]=>[4,3,6,2,1,5]=>[5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,3,6,2,4,1]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [5,3,6,4,1,2]=>[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,6,4,2,1]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [5,4,1,3,2,6]=>[5,4,1,3,2,6]=>[3,5,4,2,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>7 [5,4,1,6,3,2]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,4,2,1,6,3]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>2 [5,4,2,3,1,6]=>[5,4,1,3,2,6]=>[3,5,4,2,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>7 [5,4,2,6,1,3]=>[4,3,2,6,1,5]=>[5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,4,2,6,3,1]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,4,3,1,6,2]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>2 [5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,4,3,2,6,1]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>2 [5,4,3,6,1,2]=>[4,3,2,6,1,5]=>[5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,4,3,6,2,1]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>3 [5,4,6,1,3,2]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [5,4,6,2,1,3]=>[4,3,6,2,1,5]=>[5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,4,6,2,3,1]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [5,4,6,3,1,2]=>[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,6,3,2,1]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>4 [5,6,1,4,3,2]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [5,6,2,1,4,3]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [5,6,2,4,1,3]=>[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,6,2,4,3,1]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [5,6,3,1,4,2]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [5,6,3,2,1,4]=>[4,6,3,2,1,5]=>[5,4,3,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,6,3,2,4,1]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [5,6,3,4,1,2]=>[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,6,3,4,2,1]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [5,6,4,1,3,2]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [5,6,4,2,1,3]=>[3,6,5,2,1,4]=>[5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,6,4,2,3,1]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [5,6,4,3,1,2]=>[2,6,5,4,1,3]=>[5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,6,4,3,2,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>5 [6,1,4,3,2,5]=>[6,1,4,3,2,5]=>[2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>8 [6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [6,2,4,3,1,5]=>[6,1,4,3,2,5]=>[2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,2,5,4,3,1]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>8 [6,3,1,5,4,2]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [6,3,2,5,4,1]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [6,3,4,2,1,5]=>[6,1,4,3,2,5]=>[2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [6,3,5,1,4,2]=>[6,2,5,1,4,3]=>[4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[5,4,2,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [6,3,5,2,4,1]=>[6,2,5,1,4,3]=>[4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [6,3,5,4,1,2]=>[6,2,5,4,1,3]=>[5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,3,5,4,2,1]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>8 [6,4,1,5,3,2]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [6,4,2,1,5,3]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [6,4,2,5,1,3]=>[6,3,2,5,1,4]=>[5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [6,4,2,5,3,1]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [6,4,3,1,5,2]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [6,4,3,2,5,1]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>4 [6,4,3,5,1,2]=>[6,3,2,5,1,4]=>[5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [6,4,3,5,2,1]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>6 [6,4,5,1,3,2]=>[6,2,5,1,4,3]=>[4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [6,4,5,2,1,3]=>[6,3,5,2,1,4]=>[5,4,2,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [6,4,5,2,3,1]=>[6,2,5,1,4,3]=>[4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [6,4,5,3,1,2]=>[6,2,5,4,1,3]=>[5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,4,5,3,2,1]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>8 [6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>9 [6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[5,3,6,4,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,5,2,4,3,1]=>[6,5,1,4,3,2]=>[3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>9 [6,5,3,1,4,2]=>[6,5,2,1,4,3]=>[4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [6,5,3,2,4,1]=>[6,5,2,1,4,3]=>[4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [6,5,3,4,1,2]=>[6,5,2,4,1,3]=>[5,3,6,4,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,5,3,4,2,1]=>[6,5,1,4,3,2]=>[3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>9 [6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[4,6,5,3,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>8 [6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,5,4,2,3,1]=>[6,5,4,1,3,2]=>[4,6,5,3,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>8 [6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,3,2,6,4,7,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,3,2,6,5,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,3,2,6,7,4,5]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,3,2,7,5,4,6]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [1,3,7,2,6,5,4]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,3,7,6,2,5,4]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,3,7,6,5,2,4]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,4,2,5,3,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,4,2,5,7,3,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,4,2,6,3,7,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,4,2,6,5,3,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,2,6,5,7,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,4,2,6,7,3,5]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,4,2,7,5,3,6]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,4,2,7,6,5,3]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,4,3,5,2,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,4,3,5,7,2,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,4,3,6,2,7,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,4,3,6,5,2,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,4,3,6,5,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,4,3,6,7,2,5]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,4,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,4,3,7,5,2,6]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,4,3,7,6,2,5]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,4,3,7,6,5,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,4,6,2,5,3,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [1,4,6,3,5,2,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [1,4,7,2,6,5,3]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,4,7,3,2,6,5]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,4,7,3,6,2,5]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,4,7,3,6,5,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,4,7,6,2,5,3]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,4,7,6,3,2,5]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,4,7,6,3,5,2]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,4,7,6,5,2,3]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,5,2,6,3,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,5,2,6,4,3,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,2,6,4,7,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,5,2,6,7,3,4]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,5,2,7,6,4,3]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,5,3,2,6,4,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,3,2,7,6,4]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,5,3,6,2,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,5,3,6,4,2,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,3,6,4,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,5,3,6,7,2,4]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,5,3,7,2,6,4]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,5,3,7,6,2,4]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,5,3,7,6,4,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,5,4,2,6,3,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,4,2,7,6,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,5,4,3,6,2,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [1,5,4,3,7,2,6]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,5,4,3,7,6,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,5,4,6,2,7,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,5,4,6,3,2,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [1,5,4,6,3,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,5,4,6,7,2,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [1,5,4,7,2,6,3]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,5,4,7,3,2,6]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,5,4,7,3,6,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,5,4,7,6,2,3]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,5,4,7,6,3,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,5,6,2,4,3,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [1,5,6,3,4,2,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [1,5,7,2,6,4,3]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,5,7,3,2,6,4]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,5,7,3,6,2,4]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,5,7,3,6,4,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,5,7,4,2,6,3]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,5,7,4,3,2,6]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,5,7,4,3,6,2]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,5,7,4,6,2,3]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,5,7,4,6,3,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,5,7,6,2,4,3]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,5,7,6,3,2,4]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,5,7,6,3,4,2]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,5,7,6,4,2,3]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,6,2,7,5,4,3]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,6,3,2,5,4,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [1,6,3,2,7,5,4]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,6,3,7,2,5,4]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,6,3,7,5,2,4]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,6,3,7,5,4,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,6,4,2,5,3,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [1,6,4,2,7,5,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,6,4,3,2,7,5]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,6,4,3,5,2,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [1,6,4,3,7,2,5]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,6,4,3,7,5,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,6,4,7,2,5,3]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,6,4,7,3,2,5]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,6,4,7,3,5,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,6,4,7,5,2,3]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,6,4,7,5,3,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,6,5,2,7,4,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,6,5,3,2,7,4]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,6,5,3,7,2,4]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,6,5,3,7,4,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,6,5,4,2,7,3]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>6 [1,6,5,4,3,7,2]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,6,5,4,7,2,3]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,6,5,4,7,3,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,6,5,7,2,4,3]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,6,5,7,3,2,4]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,6,5,7,3,4,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,6,5,7,4,2,3]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,6,5,7,4,3,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,6,7,2,5,4,3]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,6,7,3,2,5,4]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,6,7,3,5,2,4]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,6,7,3,5,4,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,6,7,4,2,5,3]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,6,7,4,3,2,5]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,6,7,4,3,5,2]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,6,7,4,5,2,3]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,6,7,4,5,3,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,6,7,5,2,4,3]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,6,7,5,3,2,4]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,6,7,5,3,4,2]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,6,7,5,4,2,3]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,7,3,2,6,5,4]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,7,3,6,2,5,4]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,7,3,6,5,2,4]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,7,4,2,6,5,3]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,7,4,3,2,6,5]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,7,4,3,6,2,5]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,7,4,3,6,5,2]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,7,4,6,2,5,3]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,7,4,6,3,2,5]=>[1,7,4,6,3,2,5]=>[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,7,4,6,3,5,2]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,7,4,6,5,2,3]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,7,5,2,6,4,3]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,7,5,3,2,6,4]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,7,5,3,6,2,4]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,7,5,3,6,4,2]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,7,5,4,2,6,3]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,7,5,4,3,2,6]=>[1,7,5,4,3,2,6]=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [1,7,5,4,3,6,2]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,7,5,4,6,2,3]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,7,5,4,6,3,2]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [1,7,5,6,2,4,3]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,7,5,6,3,2,4]=>[1,7,4,6,3,2,5]=>[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,7,5,6,3,4,2]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,7,5,6,4,2,3]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,7,6,3,2,5,4]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,7,6,3,5,2,4]=>[1,7,6,3,5,2,4]=>[1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,7,6,4,2,5,3]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,7,6,4,3,2,5]=>[1,7,6,4,3,2,5]=>[1,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,7,6,4,3,5,2]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [1,7,6,4,5,2,3]=>[1,7,6,3,5,2,4]=>[1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,7,6,5,3,2,4]=>[1,7,6,5,3,2,4]=>[1,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,4,7,3,6,5]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,1,4,7,6,3,5]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,1,5,3,6,4,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [2,1,5,3,7,6,4]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,5,4,6,3,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [2,1,5,4,7,3,6]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,1,5,4,7,6,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,5,7,3,6,4]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,1,5,7,4,3,6]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,1,5,7,4,6,3]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,1,5,7,6,3,4]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,1,6,3,7,5,4]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,4,3,7,5]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,4,7,3,5]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,1,6,4,7,5,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,5,3,7,4]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [2,1,6,5,4,7,3]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [2,1,6,5,7,3,4]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,1,6,5,7,4,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [2,1,6,7,3,5,4]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,1,6,7,4,3,5]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,1,6,7,4,5,3]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,1,6,7,5,3,4]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,1,7,4,3,6,5]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,1,7,4,6,3,5]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,1,7,5,3,6,4]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,1,7,5,4,3,6]=>[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [2,1,7,5,4,6,3]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [2,1,7,5,6,3,4]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,1,7,6,4,3,5]=>[2,1,7,6,4,3,5]=>[2,1,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [2,3,1,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,3,1,5,7,4,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,3,1,6,4,7,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,3,1,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,3,1,6,5,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,3,1,6,7,4,5]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,3,1,7,5,4,6]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,3,1,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,3,6,1,5,4,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [2,3,7,1,6,5,4]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,3,7,6,1,5,4]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,3,7,6,5,1,4]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,4,1,5,3,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,4,1,5,7,3,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,4,1,6,3,7,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,4,1,6,5,3,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,1,6,5,7,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,4,1,6,7,3,5]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,4,1,7,5,3,6]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,4,1,7,6,5,3]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,4,3,1,6,5,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,4,3,1,7,6,5]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,4,3,5,1,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,4,3,5,7,1,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,4,3,6,1,7,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,4,3,6,5,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,4,3,6,5,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,4,3,6,7,1,5]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,4,3,7,1,6,5]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,4,3,7,5,1,6]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,4,3,7,6,1,5]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,4,3,7,6,5,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,4,6,1,5,3,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [2,4,6,3,5,1,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [2,4,7,1,6,5,3]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,4,7,3,1,6,5]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,4,7,3,6,1,5]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,4,7,3,6,5,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,4,7,6,1,5,3]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,4,7,6,3,1,5]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,4,7,6,3,5,1]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,4,7,6,5,1,3]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,5,1,4,3,7,6]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [2,5,1,4,7,3,6]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [2,5,1,6,3,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,5,1,6,4,3,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,1,6,4,7,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,5,1,6,7,3,4]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,5,1,7,4,3,6]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [2,5,1,7,6,4,3]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,5,3,1,6,4,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,3,1,7,6,4]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,5,3,6,1,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,5,3,6,4,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,3,6,4,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,5,3,6,7,1,4]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,5,3,7,1,6,4]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,5,3,7,6,1,4]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,5,3,7,6,4,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,5,4,1,6,3,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,4,1,7,6,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,5,4,3,1,7,6]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [2,5,4,3,6,1,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [2,5,4,3,7,1,6]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,5,4,3,7,6,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,5,4,6,1,7,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,5,4,6,3,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [2,5,4,6,3,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,5,4,6,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [2,5,4,7,1,6,3]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,5,4,7,3,1,6]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,5,4,7,3,6,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,5,4,7,6,1,3]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,5,4,7,6,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,5,6,1,4,3,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [2,5,6,3,4,1,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [2,5,7,1,6,4,3]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,5,7,3,1,6,4]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,5,7,3,6,1,4]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,5,7,3,6,4,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,5,7,4,1,6,3]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,5,7,4,3,1,6]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,5,7,4,3,6,1]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,5,7,4,6,1,3]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,5,7,4,6,3,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,5,7,6,1,4,3]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,5,7,6,3,1,4]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,5,7,6,3,4,1]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,5,7,6,4,1,3]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,6,1,4,3,7,5]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [2,6,1,4,7,3,5]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [2,6,1,5,3,7,4]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [2,6,1,5,4,3,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [2,6,1,5,4,7,3]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [2,6,1,5,7,3,4]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [2,6,1,7,4,3,5]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [2,6,1,7,5,4,3]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,6,3,1,5,4,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [2,6,3,1,7,5,4]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,6,3,7,1,5,4]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,6,3,7,5,1,4]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,6,3,7,5,4,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,6,4,1,5,3,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [2,6,4,1,7,5,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,6,4,3,1,7,5]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [2,6,4,3,5,1,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [2,6,4,3,7,1,5]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,6,4,3,7,5,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,6,4,7,1,5,3]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,6,4,7,3,1,5]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,6,4,7,3,5,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,6,4,7,5,1,3]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,6,4,7,5,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,6,5,1,4,3,7]=>[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [2,6,5,1,7,4,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,6,5,3,1,7,4]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [2,6,5,3,7,1,4]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,6,5,3,7,4,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,6,5,4,1,7,3]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [2,6,5,4,3,1,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>6 [2,6,5,4,3,7,1]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [2,6,5,4,7,1,3]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,6,5,4,7,3,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [2,6,5,7,1,4,3]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,6,5,7,3,1,4]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,6,5,7,3,4,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,6,5,7,4,1,3]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,6,5,7,4,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [2,6,7,1,5,4,3]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,6,7,3,1,5,4]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,6,7,3,5,1,4]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,6,7,3,5,4,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,6,7,4,1,5,3]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,6,7,4,3,1,5]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,6,7,4,3,5,1]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,6,7,4,5,1,3]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,6,7,4,5,3,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,6,7,5,1,4,3]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,6,7,5,3,1,4]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,6,7,5,3,4,1]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,6,7,5,4,1,3]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,7,1,5,4,3,6]=>[2,7,1,5,4,3,6]=>[3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [2,7,3,1,6,5,4]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,7,3,6,1,5,4]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,7,3,6,5,1,4]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,7,4,1,6,5,3]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,7,4,3,1,6,5]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,7,4,3,6,1,5]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,7,4,3,6,5,1]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,7,4,6,1,5,3]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,7,4,6,3,1,5]=>[1,7,4,6,3,2,5]=>[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,7,4,6,3,5,1]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,7,4,6,5,1,3]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,7,5,1,6,4,3]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,7,5,3,1,6,4]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,7,5,3,6,1,4]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,7,5,3,6,4,1]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,7,5,4,1,6,3]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,7,5,4,3,1,6]=>[1,7,5,4,3,2,6]=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [2,7,5,4,3,6,1]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [2,7,5,4,6,1,3]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,7,5,4,6,3,1]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [2,7,5,6,1,4,3]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,7,5,6,3,1,4]=>[1,7,4,6,3,2,5]=>[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,7,5,6,3,4,1]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,7,5,6,4,1,3]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [2,7,6,3,1,5,4]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,7,6,3,5,1,4]=>[1,7,6,3,5,2,4]=>[1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,7,6,4,1,5,3]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,7,6,4,3,1,5]=>[1,7,6,4,3,2,5]=>[1,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [2,7,6,4,3,5,1]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [2,7,6,4,5,1,3]=>[1,7,6,3,5,2,4]=>[1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [2,7,6,5,3,1,4]=>[1,7,6,5,3,2,4]=>[1,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,7,6,5,4,3,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,4,2,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [3,1,4,2,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,4,7,2,6,5]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,1,4,7,6,2,5]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,1,5,2,6,4,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [3,1,5,2,7,6,4]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,5,4,2,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,5,4,6,2,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [3,1,5,4,7,2,6]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,1,5,4,7,6,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,5,7,2,6,4]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,1,5,7,4,2,6]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,1,5,7,4,6,2]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,1,5,7,6,2,4]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,1,6,2,7,5,4]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,4,2,7,5]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,4,7,2,5]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,1,6,4,7,5,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,5,2,7,4]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,5,4,2,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [3,1,6,5,4,7,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,1,6,5,7,2,4]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,1,6,5,7,4,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,1,6,7,2,5,4]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,1,6,7,4,2,5]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,1,6,7,4,5,2]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,1,6,7,5,2,4]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,1,7,4,2,6,5]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,1,7,4,6,2,5]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,1,7,5,2,6,4]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,1,7,5,4,2,6]=>[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,1,7,5,4,6,2]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,1,7,5,6,2,4]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,1,7,6,4,2,5]=>[2,1,7,6,4,3,5]=>[2,1,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,1,7,6,5,4,2]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [3,2,1,5,7,4,6]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [3,2,1,6,4,7,5]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [3,2,1,6,5,7,4]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [3,2,1,6,7,4,5]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [3,2,1,7,5,4,6]=>[3,2,1,7,5,4,6]=>[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [3,2,4,1,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [3,2,4,1,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,4,7,1,6,5]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,2,4,7,6,1,5]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,2,5,1,6,4,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [3,2,5,1,7,6,4]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,5,4,1,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,5,4,6,1,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [3,2,5,4,7,1,6]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,2,5,4,7,6,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,5,7,1,6,4]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,2,5,7,4,1,6]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,2,5,7,4,6,1]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,2,5,7,6,1,4]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,2,6,1,5,4,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [3,2,6,1,7,5,4]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,4,1,7,5]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,4,7,1,5]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,2,6,4,7,5,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,5,1,7,4]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,5,4,1,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [3,2,6,5,4,7,1]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [3,2,6,5,7,1,4]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,2,6,5,7,4,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [3,2,6,7,1,5,4]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,2,6,7,4,1,5]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,2,6,7,4,5,1]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,2,6,7,5,1,4]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [3,2,7,4,1,6,5]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,2,7,4,6,1,5]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,2,7,5,1,6,4]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,2,7,5,4,1,6]=>[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [3,2,7,5,4,6,1]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [3,2,7,5,6,1,4]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [3,2,7,6,4,1,5]=>[2,1,7,6,4,3,5]=>[2,1,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,2,7,6,5,4,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [3,4,1,5,2,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,4,1,5,7,2,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [3,4,1,6,2,7,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,4,1,6,5,2,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,1,6,5,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,4,1,6,7,2,5]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [3,4,1,7,5,2,6]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [3,4,1,7,6,5,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [3,4,2,1,6,5,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,4,2,1,7,6,5]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,4,2,5,1,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,4,2,5,7,1,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [3,4,2,6,1,7,5]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,4,2,6,5,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,4,2,6,5,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,4,2,6,7,1,5]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [3,4,2,7,1,6,5]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,4,2,7,5,1,6]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [3,4,2,7,6,1,5]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,4,2,7,6,5,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [3,4,6,1,5,2,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [3,4,6,2,5,1,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [3,4,7,1,6,5,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,4,7,2,1,6,5]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,4,7,2,6,1,5]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,4,7,2,6,5,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,4,7,6,1,5,2]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,4,7,6,2,1,5]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,4,7,6,2,5,1]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,4,7,6,5,1,2]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [3,5,1,4,2,7,6]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [3,5,1,4,7,2,6]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,5,1,6,2,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,5,1,6,4,2,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,1,6,4,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [3,5,1,7,4,2,6]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,5,1,7,6,4,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [3,5,2,1,6,4,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,2,1,7,6,4]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,5,2,4,1,7,6]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [3,5,2,4,7,1,6]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,5,2,6,1,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,5,2,6,4,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,2,6,4,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [3,5,2,7,1,6,4]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,5,2,7,4,1,6]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,5,2,7,6,1,4]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,5,2,7,6,4,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [3,5,4,1,6,2,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,4,1,7,6,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,5,4,2,1,7,6]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [3,5,4,2,6,1,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [3,5,4,2,7,1,6]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,5,4,2,7,6,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,5,4,6,1,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,5,4,6,2,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [3,5,4,6,2,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [3,5,4,6,7,1,2]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [3,5,4,7,1,6,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,5,4,7,2,1,6]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,5,4,7,2,6,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,5,4,7,6,1,2]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,5,4,7,6,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [3,5,6,1,4,2,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [3,5,6,2,4,1,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [3,5,7,1,6,4,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,5,7,2,1,6,4]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,5,7,2,6,1,4]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,5,7,2,6,4,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,5,7,4,1,6,2]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,5,7,4,2,1,6]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,5,7,4,2,6,1]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,5,7,4,6,1,2]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,5,7,4,6,2,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,5,7,6,1,4,2]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,5,7,6,2,1,4]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,5,7,6,2,4,1]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,5,7,6,4,1,2]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [3,6,1,4,2,7,5]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [3,6,1,4,7,2,5]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,6,1,5,2,7,4]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [3,6,1,5,4,2,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [3,6,1,5,4,7,2]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [3,6,1,5,7,2,4]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,6,1,7,4,2,5]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,6,1,7,5,4,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [3,6,2,1,5,4,7]=>[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [3,6,2,1,7,5,4]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,6,2,4,1,7,5]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [3,6,2,4,7,1,5]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,6,2,5,1,7,4]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [3,6,2,5,4,1,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [3,6,2,5,4,7,1]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [3,6,2,5,7,1,4]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,6,2,7,1,5,4]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,6,2,7,4,1,5]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,6,2,7,5,1,4]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,6,2,7,5,4,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [3,6,4,1,5,2,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [3,6,4,1,7,5,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,6,4,2,1,7,5]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [3,6,4,2,5,1,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [3,6,4,2,7,1,5]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,6,4,2,7,5,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,6,4,7,1,5,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,6,4,7,2,1,5]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,6,4,7,2,5,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,6,4,7,5,1,2]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,6,4,7,5,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [3,6,5,1,4,2,7]=>[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [3,6,5,1,7,4,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,6,5,2,1,7,4]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [3,6,5,2,4,1,7]=>[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [3,6,5,2,7,1,4]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,6,5,2,7,4,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,6,5,4,1,7,2]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [3,6,5,4,2,1,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>6 [3,6,5,4,2,7,1]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [3,6,5,4,7,1,2]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,6,5,4,7,2,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [3,6,5,7,1,4,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,6,5,7,2,1,4]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,6,5,7,2,4,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,6,5,7,4,1,2]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,6,5,7,4,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [3,6,7,1,5,4,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,6,7,2,1,5,4]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,6,7,2,5,1,4]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,6,7,2,5,4,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,6,7,4,1,5,2]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,6,7,4,2,1,5]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,6,7,4,2,5,1]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,6,7,4,5,1,2]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,6,7,4,5,2,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,6,7,5,1,4,2]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,6,7,5,2,1,4]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,6,7,5,2,4,1]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,6,7,5,4,1,2]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [3,7,1,5,4,2,6]=>[2,7,1,5,4,3,6]=>[3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,7,1,6,5,4,2]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [3,7,2,1,6,5,4]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [3,7,2,5,4,1,6]=>[2,7,1,5,4,3,6]=>[3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [3,7,2,6,5,1,4]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,7,2,6,5,4,1]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [3,7,4,1,6,5,2]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,7,4,2,1,6,5]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,7,4,2,6,1,5]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,7,4,2,6,5,1]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,7,4,6,1,5,2]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,7,4,6,2,1,5]=>[1,7,4,6,3,2,5]=>[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,7,4,6,2,5,1]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,7,4,6,5,1,2]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [3,7,5,1,6,4,2]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,7,5,2,1,6,4]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,7,5,2,6,1,4]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,7,5,2,6,4,1]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,7,5,4,1,6,2]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,7,5,4,2,1,6]=>[1,7,5,4,3,2,6]=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [3,7,5,4,2,6,1]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [3,7,5,4,6,1,2]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,7,5,4,6,2,1]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [3,7,5,6,1,4,2]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,7,5,6,2,1,4]=>[1,7,4,6,3,2,5]=>[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,7,5,6,2,4,1]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,7,5,6,4,1,2]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [3,7,6,1,5,4,2]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [3,7,6,2,1,5,4]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [3,7,6,2,5,1,4]=>[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,7,6,2,5,4,1]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [3,7,6,4,1,5,2]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,7,6,4,2,1,5]=>[1,7,6,4,3,2,5]=>[1,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [3,7,6,4,2,5,1]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [3,7,6,4,5,1,2]=>[1,7,6,3,5,2,4]=>[1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [3,7,6,5,1,4,2]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [3,7,6,5,2,1,4]=>[3,7,6,5,2,1,4]=>[6,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,7,6,5,2,4,1]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [3,7,6,5,4,1,2]=>[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,7,6,5,4,2,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,3,2,6,5,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [4,1,3,2,7,6,5]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [4,1,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [4,1,3,7,6,2,5]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [4,1,5,2,6,3,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [4,1,5,2,7,6,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,5,3,2,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,5,3,6,2,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [4,1,5,3,7,2,6]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,1,5,3,7,6,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,5,7,2,6,3]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,1,5,7,3,2,6]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,1,5,7,3,6,2]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,1,5,7,6,2,3]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,1,6,2,7,5,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,3,2,7,5]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,6,3,7,2,5]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,1,6,3,7,5,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,5,2,7,3]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,6,5,3,2,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [4,1,6,5,3,7,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,1,6,5,7,2,3]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,1,6,5,7,3,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,1,6,7,2,5,3]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,1,6,7,3,2,5]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,1,6,7,3,5,2]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,1,6,7,5,2,3]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,1,7,3,2,6,5]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [4,1,7,3,6,2,5]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [4,1,7,5,2,6,3]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,1,7,5,3,2,6]=>[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,1,7,5,3,6,2]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,1,7,5,6,2,3]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,1,7,6,3,2,5]=>[4,1,7,6,3,2,5]=>[2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [4,1,7,6,5,3,2]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [4,2,1,5,3,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [4,2,1,5,7,3,6]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [4,2,1,6,3,7,5]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [4,2,1,6,5,3,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,2,1,6,5,7,3]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [4,2,1,6,7,3,5]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [4,2,1,7,5,3,6]=>[3,2,1,7,5,4,6]=>[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [4,2,1,7,6,5,3]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [4,2,3,1,6,5,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [4,2,3,1,7,6,5]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [4,2,3,7,1,6,5]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [4,2,3,7,6,1,5]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [4,2,5,1,6,3,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [4,2,5,1,7,6,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,5,3,1,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,5,3,6,1,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [4,2,5,3,7,1,6]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,2,5,3,7,6,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,5,7,1,6,3]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,2,5,7,3,1,6]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,2,5,7,3,6,1]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,2,5,7,6,1,3]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,2,6,1,5,3,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [4,2,6,1,7,5,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,6,3,1,7,5]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,3,7,1,5]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,2,6,3,7,5,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,6,5,1,7,3]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,5,3,1,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [4,2,6,5,3,7,1]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,2,6,5,7,1,3]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,2,6,5,7,3,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,2,6,7,1,5,3]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,2,6,7,3,1,5]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,2,6,7,3,5,1]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,2,6,7,5,1,3]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,2,7,1,6,5,3]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [4,2,7,3,1,6,5]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [4,2,7,3,6,1,5]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [4,2,7,5,1,6,3]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,2,7,5,3,1,6]=>[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,2,7,5,3,6,1]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,2,7,5,6,1,3]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,2,7,6,1,5,3]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [4,2,7,6,3,1,5]=>[4,1,7,6,3,2,5]=>[2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [4,2,7,6,5,1,3]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,2,7,6,5,3,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [4,3,1,5,2,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [4,3,1,5,7,2,6]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [4,3,1,6,2,7,5]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [4,3,1,6,5,2,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,1,6,5,7,2]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [4,3,1,6,7,2,5]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [4,3,1,7,5,2,6]=>[3,2,1,7,5,4,6]=>[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [4,3,1,7,6,5,2]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>3 [4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [4,3,2,5,1,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [4,3,2,5,7,1,6]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [4,3,2,6,1,7,5]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [4,3,2,6,5,1,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [4,3,2,6,5,7,1]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [4,3,2,6,7,1,5]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [4,3,2,7,1,6,5]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [4,3,2,7,5,1,6]=>[3,2,1,7,5,4,6]=>[3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [4,3,2,7,6,1,5]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [4,3,2,7,6,5,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [4,3,5,1,6,2,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [4,3,5,1,7,6,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,2,1,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,5,2,6,1,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [4,3,5,2,7,1,6]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,3,5,2,7,6,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,5,7,1,6,2]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,3,5,7,2,1,6]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,3,5,7,2,6,1]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,3,5,7,6,1,2]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,3,6,1,5,2,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [4,3,6,1,7,5,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,2,1,7,5]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,2,5,1,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [4,3,6,2,7,1,5]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,3,6,2,7,5,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,5,1,7,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,5,2,1,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [4,3,6,5,2,7,1]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [4,3,6,5,7,1,2]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,3,6,5,7,2,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [4,3,6,7,1,5,2]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,3,6,7,2,1,5]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,3,6,7,2,5,1]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,3,6,7,5,1,2]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,3,7,1,6,5,2]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [4,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [4,3,7,2,6,5,1]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [4,3,7,5,1,6,2]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,3,7,5,2,1,6]=>[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [4,3,7,5,2,6,1]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [4,3,7,5,6,1,2]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [4,3,7,6,1,5,2]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [4,3,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [4,3,7,6,2,5,1]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [4,3,7,6,5,1,2]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,3,7,6,5,2,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [4,5,1,3,2,7,6]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,5,1,3,7,2,6]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,5,1,6,2,7,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [4,5,1,6,3,2,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,1,6,3,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [4,5,1,6,7,2,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [4,5,1,7,3,2,6]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,5,1,7,6,3,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [4,5,2,1,6,3,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,2,1,7,6,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [4,5,2,3,1,7,6]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,5,2,3,7,1,6]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,5,2,6,1,7,3]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [4,5,2,6,3,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,2,6,3,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [4,5,2,6,7,1,3]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [4,5,2,7,1,6,3]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,5,2,7,3,1,6]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,5,2,7,6,1,3]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,5,2,7,6,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [4,5,3,1,6,2,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,3,1,7,6,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [4,5,3,2,1,7,6]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [4,5,3,2,6,1,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>6 [4,5,3,2,7,1,6]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,5,3,2,7,6,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [4,5,3,6,1,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [4,5,3,6,2,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>6 [4,5,3,6,2,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [4,5,3,6,7,1,2]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>7 [4,5,3,7,1,6,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,5,3,7,2,1,6]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,5,3,7,2,6,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,5,3,7,6,1,2]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,5,3,7,6,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [4,5,6,1,3,2,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [4,5,6,2,3,1,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>8 [4,5,7,1,6,3,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [4,5,7,2,1,6,3]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,5,7,2,6,1,3]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,5,7,2,6,3,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [4,5,7,3,1,6,2]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,5,7,3,2,1,6]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,5,7,3,2,6,1]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,5,7,3,6,1,2]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,5,7,3,6,2,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [4,5,7,6,1,3,2]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [4,5,7,6,2,1,3]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,5,7,6,2,3,1]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [4,5,7,6,3,1,2]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [4,6,1,3,2,7,5]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,6,1,3,7,2,5]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,6,1,5,2,7,3]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,6,1,5,3,2,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [4,6,1,5,3,7,2]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,6,1,5,7,2,3]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,6,1,7,3,2,5]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,6,1,7,5,3,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [4,6,2,1,5,3,7]=>[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [4,6,2,1,7,5,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [4,6,2,3,1,7,5]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,6,2,3,7,1,5]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,6,2,5,1,7,3]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,6,2,5,3,1,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [4,6,2,5,3,7,1]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,6,2,5,7,1,3]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,6,2,7,1,5,3]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,6,2,7,3,1,5]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,6,2,7,5,1,3]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,6,2,7,5,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [4,6,3,1,5,2,7]=>[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [4,6,3,1,7,5,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [4,6,3,2,1,7,5]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [4,6,3,2,5,1,7]=>[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [4,6,3,2,7,1,5]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,6,3,2,7,5,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [4,6,3,5,1,7,2]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,6,3,5,2,1,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [4,6,3,5,2,7,1]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [4,6,3,5,7,1,2]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,6,3,7,1,5,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,6,3,7,2,1,5]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,6,3,7,2,5,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,6,3,7,5,1,2]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,6,3,7,5,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [4,6,5,1,3,2,7]=>[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [4,6,5,1,7,3,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [4,6,5,2,1,7,3]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [4,6,5,2,3,1,7]=>[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [4,6,5,2,7,1,3]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,6,5,2,7,3,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [4,6,5,3,1,7,2]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [4,6,5,3,2,1,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>6 [4,6,5,3,2,7,1]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [4,6,5,3,7,1,2]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,6,5,3,7,2,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [4,6,5,7,1,3,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,6,5,7,2,1,3]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,6,5,7,2,3,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,6,5,7,3,1,2]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,6,5,7,3,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [4,6,7,1,5,3,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [4,6,7,2,1,5,3]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,6,7,2,5,1,3]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,6,7,2,5,3,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [4,6,7,3,1,5,2]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,6,7,3,2,1,5]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,6,7,3,2,5,1]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,6,7,3,5,1,2]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,6,7,3,5,2,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [4,6,7,5,1,3,2]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [4,6,7,5,2,1,3]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,6,7,5,2,3,1]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [4,6,7,5,3,1,2]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [4,7,1,5,3,2,6]=>[2,7,1,5,4,3,6]=>[3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,7,1,6,5,3,2]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [4,7,2,1,6,5,3]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [4,7,2,5,3,1,6]=>[2,7,1,5,4,3,6]=>[3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,7,2,6,1,5,3]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [4,7,2,6,5,1,3]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,7,2,6,5,3,1]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [4,7,3,1,6,5,2]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [4,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [4,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [4,7,3,2,6,5,1]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [4,7,3,5,2,1,6]=>[2,7,1,5,4,3,6]=>[3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,7,3,6,1,5,2]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [4,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [4,7,3,6,2,5,1]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [4,7,3,6,5,1,2]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,7,3,6,5,2,1]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [4,7,5,1,6,3,2]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [4,7,5,2,1,6,3]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,7,5,2,6,1,3]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,7,5,2,6,3,1]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [4,7,5,3,1,6,2]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,7,5,3,2,1,6]=>[1,7,5,4,3,2,6]=>[1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [4,7,5,3,2,6,1]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [4,7,5,3,6,1,2]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,7,5,3,6,2,1]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [4,7,5,6,1,3,2]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [4,7,5,6,2,1,3]=>[1,7,4,6,3,2,5]=>[1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [4,7,5,6,2,3,1]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [4,7,5,6,3,1,2]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [4,7,6,1,5,3,2]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [4,7,6,2,1,5,3]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [4,7,6,2,5,1,3]=>[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,7,6,2,5,3,1]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [4,7,6,3,1,5,2]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [4,7,6,3,2,1,5]=>[4,7,6,3,2,1,5]=>[6,5,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [4,7,6,3,2,5,1]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [4,7,6,3,5,1,2]=>[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,7,6,3,5,2,1]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [4,7,6,5,1,3,2]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [4,7,6,5,2,1,3]=>[3,7,6,5,2,1,4]=>[6,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,7,6,5,2,3,1]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [4,7,6,5,3,1,2]=>[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [4,7,6,5,3,2,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,1,3,2,6,4,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [5,1,3,2,7,6,4]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [5,1,3,7,2,6,4]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,1,3,7,6,2,4]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,1,4,2,6,3,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [5,1,4,2,7,6,3]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [5,1,4,3,2,7,6]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [5,1,4,3,6,2,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [5,1,4,3,7,2,6]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,1,4,3,7,6,2]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [5,1,4,7,2,6,3]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,1,4,7,3,2,6]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,1,4,7,3,6,2]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,1,4,7,6,2,3]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,1,6,2,7,4,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,6,3,2,7,4]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,3,7,2,4]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,1,6,3,7,4,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,6,4,2,7,3]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,4,3,2,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [5,1,6,4,3,7,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,1,6,4,7,2,3]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,1,6,4,7,3,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,1,6,7,2,4,3]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [5,1,6,7,3,2,4]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,1,6,7,3,4,2]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [5,1,6,7,4,2,3]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [5,1,7,3,2,6,4]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,1,7,3,6,2,4]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,1,7,4,2,6,3]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,1,7,4,3,2,6]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,1,7,4,3,6,2]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,1,7,4,6,2,3]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,1,7,6,3,2,4]=>[4,1,7,6,3,2,5]=>[2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,1,7,6,4,3,2]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [5,2,1,4,3,7,6]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,2,1,4,7,3,6]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,2,1,6,3,7,4]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,2,1,6,4,3,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,2,1,6,4,7,3]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,2,1,6,7,3,4]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [5,2,1,7,4,3,6]=>[5,2,1,7,4,3,6]=>[3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,2,1,7,6,4,3]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [5,2,3,1,6,4,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [5,2,3,1,7,6,4]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [5,2,3,7,1,6,4]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,2,3,7,6,1,4]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,2,4,1,6,3,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [5,2,4,1,7,6,3]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [5,2,4,3,1,7,6]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [5,2,4,3,6,1,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [5,2,4,3,7,1,6]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,2,4,3,7,6,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [5,2,4,7,1,6,3]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,2,4,7,3,1,6]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,2,4,7,3,6,1]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,2,4,7,6,1,3]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,2,6,1,4,3,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [5,2,6,1,7,4,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,3,1,7,4]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,6,3,7,1,4]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,2,6,3,7,4,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,4,1,7,3]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,6,4,3,1,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [5,2,6,4,3,7,1]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,2,6,4,7,1,3]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,2,6,4,7,3,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,2,6,7,1,4,3]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [5,2,6,7,3,1,4]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,2,6,7,3,4,1]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [5,2,6,7,4,1,3]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [5,2,7,1,6,4,3]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,2,7,3,1,6,4]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,2,7,3,6,1,4]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,2,7,4,1,6,3]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,2,7,4,3,1,6]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,2,7,4,3,6,1]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,2,7,4,6,1,3]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,2,7,6,1,4,3]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,7,6,3,1,4]=>[4,1,7,6,3,2,5]=>[2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,2,7,6,4,1,3]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,2,7,6,4,3,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [5,3,1,4,2,7,6]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,3,1,4,7,2,6]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,3,1,6,2,7,4]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,3,1,6,4,2,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,1,6,4,7,2]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,3,1,6,7,2,4]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [5,3,1,7,4,2,6]=>[5,2,1,7,4,3,6]=>[3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,3,1,7,6,4,2]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [5,3,2,1,6,4,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>3 [5,3,2,1,7,6,4]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,3,2,4,1,7,6]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,3,2,4,7,1,6]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,3,2,6,1,7,4]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,3,2,6,4,1,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,3,2,6,4,7,1]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,3,2,6,7,1,4]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [5,3,2,7,1,6,4]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,3,2,7,4,1,6]=>[5,2,1,7,4,3,6]=>[3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,3,2,7,6,1,4]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,3,2,7,6,4,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [5,3,4,1,6,2,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [5,3,4,1,7,6,2]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [5,3,4,2,1,7,6]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [5,3,4,2,6,1,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>7 [5,3,4,2,7,1,6]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,3,4,2,7,6,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [5,3,4,7,1,6,2]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,3,4,7,2,1,6]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,3,4,7,2,6,1]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,3,4,7,6,1,2]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,3,6,1,4,2,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [5,3,6,1,7,4,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,2,1,7,4]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,6,2,4,1,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [5,3,6,2,7,1,4]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,3,6,2,7,4,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,4,1,7,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,6,4,2,1,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [5,3,6,4,2,7,1]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,3,6,4,7,1,2]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,3,6,4,7,2,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,3,6,7,1,4,2]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [5,3,6,7,2,1,4]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,3,6,7,2,4,1]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [5,3,7,1,6,4,2]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,3,7,2,1,6,4]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,3,7,2,6,1,4]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,3,7,2,6,4,1]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,3,7,4,1,6,2]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,3,7,4,2,1,6]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,3,7,4,2,6,1]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [5,3,7,4,6,1,2]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [5,3,7,6,1,4,2]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,7,6,2,1,4]=>[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,3,7,6,2,4,1]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,7,6,4,1,2]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,3,7,6,4,2,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [5,4,1,3,2,7,6]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [5,4,1,3,7,2,6]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [5,4,1,6,2,7,3]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,4,1,6,3,2,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,1,6,3,7,2]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,4,1,6,7,2,3]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [5,4,1,7,3,2,6]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [5,4,1,7,6,3,2]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [5,4,2,1,6,3,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>3 [5,4,2,1,7,6,3]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,4,2,3,1,7,6]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [5,4,2,3,7,1,6]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [5,4,2,6,1,7,3]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,4,2,6,3,1,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,2,6,3,7,1]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,4,2,6,7,1,3]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [5,4,2,7,1,6,3]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,4,2,7,3,1,6]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [5,4,2,7,6,1,3]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,4,2,7,6,3,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [5,4,3,1,6,2,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>3 [5,4,3,1,7,6,2]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [5,4,3,2,6,1,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>3 [5,4,3,2,7,1,6]=>[5,4,3,2,7,1,6]=>[6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [5,4,3,2,7,6,1]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [5,4,3,6,1,7,2]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,4,3,6,2,1,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [5,4,3,6,2,7,1]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [5,4,3,6,7,1,2]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [5,4,3,7,1,6,2]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,4,3,7,2,1,6]=>[5,4,3,7,2,1,6]=>[6,5,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [5,4,3,7,2,6,1]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,4,3,7,6,1,2]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,4,3,7,6,2,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [5,4,6,1,3,2,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [5,4,6,1,7,3,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,2,1,7,3]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,6,2,3,1,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [5,4,6,2,7,1,3]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,4,6,2,7,3,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,3,1,7,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,6,3,2,1,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>5 [5,4,6,3,2,7,1]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [5,4,6,3,7,1,2]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,4,6,3,7,2,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [5,4,6,7,1,3,2]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [5,4,6,7,2,1,3]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [5,4,6,7,2,3,1]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>7 [5,4,6,7,3,1,2]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>7 [5,4,7,1,6,3,2]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,4,7,2,1,6,3]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,4,7,2,6,1,3]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,4,7,2,6,3,1]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,4,7,3,1,6,2]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,4,7,3,2,1,6]=>[5,4,7,3,2,1,6]=>[6,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [5,4,7,3,2,6,1]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,4,7,3,6,1,2]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,4,7,3,6,2,1]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,4,7,6,1,3,2]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,7,6,2,1,3]=>[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,4,7,6,2,3,1]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,7,6,3,1,2]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,4,7,6,3,2,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [5,6,1,3,2,7,4]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,6,1,3,7,2,4]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,6,1,4,2,7,3]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,6,1,4,3,2,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [5,6,1,4,3,7,2]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,6,1,4,7,2,3]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,6,1,7,3,2,4]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,6,1,7,4,3,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [5,6,2,1,4,3,7]=>[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [5,6,2,1,7,4,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [5,6,2,3,1,7,4]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,6,2,3,7,1,4]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,6,2,4,1,7,3]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,6,2,4,3,1,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [5,6,2,4,3,7,1]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,6,2,4,7,1,3]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,6,2,7,1,4,3]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [5,6,2,7,3,1,4]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,6,2,7,4,1,3]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [5,6,2,7,4,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [5,6,3,1,4,2,7]=>[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [5,6,3,1,7,4,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [5,6,3,2,1,7,4]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [5,6,3,2,4,1,7]=>[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [5,6,3,2,7,1,4]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [5,6,3,2,7,4,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [5,6,3,4,1,7,2]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,6,3,4,2,1,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [5,6,3,4,2,7,1]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [5,6,3,4,7,1,2]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,6,3,7,1,4,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [5,6,3,7,2,1,4]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [5,6,3,7,2,4,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [5,6,3,7,4,1,2]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [5,6,3,7,4,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [5,6,4,1,3,2,7]=>[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [5,6,4,1,7,3,2]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [5,6,4,2,1,7,3]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [5,6,4,2,3,1,7]=>[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [5,6,4,2,7,1,3]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [5,6,4,2,7,3,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [5,6,4,3,1,7,2]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [5,6,4,3,2,1,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>6 [5,6,4,3,2,7,1]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>6 [5,6,4,3,7,1,2]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [5,6,4,3,7,2,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [5,6,4,7,1,3,2]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [5,6,4,7,2,1,3]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [5,6,4,7,2,3,1]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [5,6,4,7,3,1,2]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [5,6,4,7,3,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [5,6,7,1,4,3,2]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [5,6,7,2,1,4,3]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [5,6,7,2,4,1,3]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [5,6,7,2,4,3,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [5,6,7,3,1,4,2]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [5,6,7,3,2,1,4]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>7 [5,6,7,3,2,4,1]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [5,6,7,3,4,1,2]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [5,6,7,3,4,2,1]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>9 [5,6,7,4,1,3,2]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [5,6,7,4,2,1,3]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [5,6,7,4,2,3,1]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>10 [5,6,7,4,3,1,2]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>9 [5,7,1,4,3,2,6]=>[5,7,1,4,3,2,6]=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [5,7,1,6,4,3,2]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [5,7,2,1,6,4,3]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,7,2,4,3,1,6]=>[5,7,1,4,3,2,6]=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [5,7,2,6,1,4,3]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,7,2,6,4,1,3]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,7,2,6,4,3,1]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [5,7,3,1,6,4,2]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,7,3,2,1,6,4]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,7,3,2,6,1,4]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,7,3,2,6,4,1]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,7,3,4,2,1,6]=>[5,7,1,4,3,2,6]=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [5,7,3,6,1,4,2]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,7,3,6,2,1,4]=>[4,7,3,6,2,1,5]=>[6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,7,3,6,2,4,1]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,7,3,6,4,1,2]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,7,3,6,4,2,1]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [5,7,4,1,6,3,2]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,7,4,2,1,6,3]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,7,4,2,6,1,3]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,7,4,2,6,3,1]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,7,4,3,1,6,2]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,7,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[6,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [5,7,4,3,2,6,1]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [5,7,4,3,6,1,2]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,7,4,3,6,2,1]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [5,7,4,6,1,3,2]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,7,4,6,2,1,3]=>[4,7,3,6,2,1,5]=>[6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,7,4,6,2,3,1]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,7,4,6,3,1,2]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,7,4,6,3,2,1]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [5,7,6,1,4,3,2]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [5,7,6,2,1,4,3]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,7,6,2,4,1,3]=>[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,7,6,2,4,3,1]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [5,7,6,3,1,4,2]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,7,6,3,2,1,4]=>[4,7,6,3,2,1,5]=>[6,5,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [5,7,6,3,2,4,1]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,7,6,3,4,1,2]=>[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,7,6,3,4,2,1]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [5,7,6,4,1,3,2]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [5,7,6,4,2,1,3]=>[3,7,6,5,2,1,4]=>[6,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,7,6,4,2,3,1]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [5,7,6,4,3,1,2]=>[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,7,6,4,3,2,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,1,3,2,7,5,4]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,1,3,7,2,5,4]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,1,3,7,5,2,4]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,1,4,2,7,5,3]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,1,4,3,2,7,5]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,1,4,3,7,2,5]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,1,4,3,7,5,2]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,1,4,7,2,5,3]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,1,4,7,3,2,5]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,1,4,7,3,5,2]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,1,4,7,5,2,3]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,1,5,2,7,4,3]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,1,5,3,2,7,4]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,1,5,3,7,2,4]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,1,5,3,7,4,2]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,1,5,4,2,7,3]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,1,5,4,3,2,7]=>[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>9 [6,1,5,4,3,7,2]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,1,5,4,7,2,3]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,1,5,4,7,3,2]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,1,5,7,2,4,3]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,1,5,7,3,2,4]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,1,5,7,3,4,2]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,1,5,7,4,2,3]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,1,7,3,2,5,4]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,1,7,3,5,2,4]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,1,7,4,2,5,3]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,1,7,4,3,2,5]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,1,7,4,3,5,2]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,1,7,4,5,2,3]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,1,7,5,3,2,4]=>[4,1,7,6,3,2,5]=>[2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,1,7,5,4,3,2]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [6,2,1,4,3,7,5]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,2,1,4,7,3,5]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,2,1,5,3,7,4]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,2,1,5,4,3,7]=>[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [6,2,1,5,4,7,3]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,2,1,5,7,3,4]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,2,1,7,4,3,5]=>[5,2,1,7,4,3,6]=>[3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,2,1,7,5,4,3]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,2,3,1,7,5,4]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,2,3,7,1,5,4]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,2,3,7,5,1,4]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,2,4,1,7,5,3]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,2,4,3,1,7,5]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,2,4,3,7,1,5]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,2,4,3,7,5,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,2,4,7,1,5,3]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,2,4,7,3,1,5]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,2,4,7,3,5,1]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,2,4,7,5,1,3]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,2,5,1,4,3,7]=>[6,2,5,1,4,3,7]=>[4,2,6,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [6,2,5,1,7,4,3]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,2,5,3,1,7,4]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,2,5,3,7,1,4]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,2,5,3,7,4,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,2,5,4,1,7,3]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,2,5,4,3,1,7]=>[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>9 [6,2,5,4,3,7,1]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,2,5,4,7,1,3]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,2,5,4,7,3,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,2,5,7,1,4,3]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,2,5,7,3,1,4]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,2,5,7,3,4,1]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,2,5,7,4,1,3]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,2,7,1,5,4,3]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,2,7,3,1,5,4]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,2,7,3,5,1,4]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,2,7,4,1,5,3]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,2,7,4,3,1,5]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,2,7,4,3,5,1]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,2,7,4,5,1,3]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,2,7,5,1,4,3]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,2,7,5,3,1,4]=>[4,1,7,6,3,2,5]=>[2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,2,7,5,4,1,3]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,7,5,4,3,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [6,3,1,4,2,7,5]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,3,1,4,7,2,5]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,3,1,5,2,7,4]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,3,1,5,4,2,7]=>[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [6,3,1,5,4,7,2]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,3,1,5,7,2,4]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,3,1,7,4,2,5]=>[5,2,1,7,4,3,6]=>[3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,3,1,7,5,4,2]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,3,2,1,5,4,7]=>[6,3,2,1,5,4,7]=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [6,3,2,1,7,5,4]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,3,2,4,1,7,5]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,3,2,4,7,1,5]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,3,2,5,1,7,4]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,3,2,5,4,1,7]=>[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [6,3,2,5,4,7,1]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,3,2,5,7,1,4]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,3,2,7,1,5,4]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,3,2,7,4,1,5]=>[5,2,1,7,4,3,6]=>[3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,3,2,7,5,1,4]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,2,7,5,4,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,3,4,1,7,5,2]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,3,4,2,1,7,5]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,3,4,2,7,1,5]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,3,4,2,7,5,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,3,4,7,1,5,2]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,3,4,7,2,1,5]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,3,4,7,2,5,1]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,3,4,7,5,1,2]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,3,5,1,4,2,7]=>[6,2,5,1,4,3,7]=>[4,2,6,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [6,3,5,1,7,4,2]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,3,5,2,1,7,4]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,3,5,2,4,1,7]=>[6,2,5,1,4,3,7]=>[4,2,6,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [6,3,5,2,7,1,4]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,3,5,2,7,4,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,3,5,4,1,7,2]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,3,5,4,2,1,7]=>[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>9 [6,3,5,4,2,7,1]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,3,5,4,7,1,2]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,3,5,4,7,2,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,3,5,7,1,4,2]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,3,5,7,2,1,4]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,3,5,7,2,4,1]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,3,5,7,4,1,2]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,3,7,1,5,4,2]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,3,7,2,1,5,4]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,3,7,2,5,1,4]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,7,2,5,4,1]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,3,7,4,1,5,2]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,3,7,4,2,1,5]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,3,7,4,2,5,1]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,3,7,4,5,1,2]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,3,7,5,1,4,2]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,3,7,5,2,1,4]=>[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,7,5,2,4,1]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,3,7,5,4,1,2]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,7,5,4,2,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [6,4,1,3,2,7,5]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,4,1,3,7,2,5]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,4,1,5,2,7,3]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,4,1,5,3,2,7]=>[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [6,4,1,5,3,7,2]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,4,1,5,7,2,3]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,4,1,7,3,2,5]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,4,1,7,5,3,2]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,4,2,1,5,3,7]=>[6,3,2,1,5,4,7]=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [6,4,2,1,7,5,3]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,4,2,3,1,7,5]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,4,2,3,7,1,5]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,4,2,5,1,7,3]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,4,2,5,3,1,7]=>[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [6,4,2,5,3,7,1]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,4,2,5,7,1,3]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,4,2,7,1,5,3]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,4,2,7,3,1,5]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,4,2,7,5,1,3]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,2,7,5,3,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,4,3,1,5,2,7]=>[6,3,2,1,5,4,7]=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [6,4,3,1,7,5,2]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,4,3,2,1,7,5]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [6,4,3,2,5,1,7]=>[6,3,2,1,5,4,7]=>[4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>5 [6,4,3,2,7,1,5]=>[5,4,3,2,7,1,6]=>[6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,3,2,7,5,1]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,4,3,5,1,7,2]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,4,3,5,2,1,7]=>[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [6,4,3,5,2,7,1]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>6 [6,4,3,5,7,1,2]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,4,3,7,1,5,2]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,4,3,7,2,1,5]=>[5,4,3,7,2,1,6]=>[6,5,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,3,7,2,5,1]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,4,3,7,5,1,2]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,3,7,5,2,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,4,5,1,3,2,7]=>[6,2,5,1,4,3,7]=>[4,2,6,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [6,4,5,1,7,3,2]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,4,5,2,1,7,3]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,4,5,2,3,1,7]=>[6,2,5,1,4,3,7]=>[4,2,6,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [6,4,5,2,7,1,3]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,4,5,2,7,3,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,4,5,3,1,7,2]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,4,5,3,2,1,7]=>[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>9 [6,4,5,3,2,7,1]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>8 [6,4,5,3,7,1,2]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,4,5,3,7,2,1]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>7 [6,4,5,7,1,3,2]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,4,5,7,2,1,3]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,4,5,7,2,3,1]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [6,4,5,7,3,1,2]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [6,4,7,1,5,3,2]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,4,7,2,1,5,3]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,4,7,2,5,1,3]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,7,2,5,3,1]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,4,7,3,1,5,2]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,4,7,3,2,1,5]=>[5,4,7,3,2,1,6]=>[6,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,7,3,2,5,1]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,4,7,3,5,1,2]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,7,3,5,2,1]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,4,7,5,1,3,2]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,4,7,5,2,1,3]=>[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,7,5,2,3,1]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,4,7,5,3,1,2]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,7,5,3,2,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [6,5,1,3,2,7,4]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,5,1,3,7,2,4]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,5,1,4,2,7,3]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,5,1,4,3,2,7]=>[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [6,5,1,4,3,7,2]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,5,1,4,7,2,3]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,5,1,7,3,2,4]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,5,1,7,4,3,2]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,5,2,1,4,3,7]=>[6,5,2,1,4,3,7]=>[4,3,6,5,2,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [6,5,2,1,7,4,3]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,2,3,1,7,4]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,5,2,3,7,1,4]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,5,2,4,1,7,3]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,5,2,4,3,1,7]=>[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [6,5,2,4,3,7,1]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,5,2,4,7,1,3]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,5,2,7,1,4,3]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,5,2,7,3,1,4]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,5,2,7,4,1,3]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,2,7,4,3,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,5,3,1,4,2,7]=>[6,5,2,1,4,3,7]=>[4,3,6,5,2,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [6,5,3,1,7,4,2]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,3,2,1,7,4]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [6,5,3,2,4,1,7]=>[6,5,2,1,4,3,7]=>[4,3,6,5,2,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [6,5,3,2,7,1,4]=>[5,4,3,2,7,1,6]=>[6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,3,2,7,4,1]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,3,4,1,7,2]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,5,3,4,2,1,7]=>[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [6,5,3,4,2,7,1]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>8 [6,5,3,4,7,1,2]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,5,3,7,1,4,2]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,5,3,7,2,1,4]=>[5,4,3,7,2,1,6]=>[6,5,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,3,7,2,4,1]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,5,3,7,4,1,2]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,3,7,4,2,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,5,4,1,3,2,7]=>[6,5,4,1,3,2,7]=>[4,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>9 [6,5,4,1,7,3,2]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,4,2,1,7,3]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [6,5,4,2,3,1,7]=>[6,5,4,1,3,2,7]=>[4,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>9 [6,5,4,2,7,1,3]=>[5,4,3,2,7,1,6]=>[6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,4,2,7,3,1]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,4,3,1,7,2]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,4,3,2,7,1]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [6,5,4,3,7,1,2]=>[5,4,3,2,7,1,6]=>[6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,4,3,7,2,1]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [6,5,4,7,1,3,2]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,5,4,7,2,1,3]=>[5,4,3,7,2,1,6]=>[6,5,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,4,7,2,3,1]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,5,4,7,3,1,2]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,4,7,3,2,1]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [6,5,7,1,4,3,2]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,5,7,2,1,4,3]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,5,7,2,4,1,3]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,7,2,4,3,1]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,5,7,3,1,4,2]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,5,7,3,2,1,4]=>[5,4,7,3,2,1,6]=>[6,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,7,3,2,4,1]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,5,7,3,4,1,2]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,7,3,4,2,1]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,5,7,4,1,3,2]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,5,7,4,2,1,3]=>[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,7,4,2,3,1]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,5,7,4,3,1,2]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,7,4,3,2,1]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [6,7,1,4,3,2,5]=>[5,7,1,4,3,2,6]=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,7,1,5,4,3,2]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [6,7,2,1,5,4,3]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,7,2,4,3,1,5]=>[5,7,1,4,3,2,6]=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,7,2,5,1,4,3]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,7,2,5,4,1,3]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,7,2,5,4,3,1]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [6,7,3,1,5,4,2]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,7,3,2,1,5,4]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,7,3,2,5,1,4]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,7,3,2,5,4,1]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,7,3,4,2,1,5]=>[5,7,1,4,3,2,6]=>[3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [6,7,3,5,1,4,2]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,7,3,5,2,1,4]=>[4,7,3,6,2,1,5]=>[6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,7,3,5,2,4,1]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,7,3,5,4,1,2]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,7,3,5,4,2,1]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [6,7,4,1,5,3,2]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,7,4,2,1,5,3]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,7,4,2,5,1,3]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,7,4,2,5,3,1]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,7,4,3,1,5,2]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,7,4,3,2,1,5]=>[5,7,4,3,2,1,6]=>[6,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,7,4,3,2,5,1]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [6,7,4,3,5,1,2]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,7,4,3,5,2,1]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [6,7,4,5,1,3,2]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,7,4,5,2,1,3]=>[4,7,3,6,2,1,5]=>[6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,7,4,5,2,3,1]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,7,4,5,3,1,2]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,7,4,5,3,2,1]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [6,7,5,1,4,3,2]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [6,7,5,2,1,4,3]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,7,5,2,4,1,3]=>[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,7,5,2,4,3,1]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [6,7,5,3,1,4,2]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,7,5,3,2,1,4]=>[4,7,6,3,2,1,5]=>[6,5,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,7,5,3,2,4,1]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [6,7,5,3,4,1,2]=>[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,7,5,3,4,2,1]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [6,7,5,4,1,3,2]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [6,7,5,4,2,1,3]=>[3,7,6,5,2,1,4]=>[6,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,7,5,4,2,3,1]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [6,7,5,4,3,1,2]=>[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,7,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,1,4,3,2,6,5]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,1,4,3,6,2,5]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,1,4,6,3,2,5]=>[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,1,5,3,2,6,4]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,1,5,3,6,2,4]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,1,5,4,2,6,3]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,1,5,4,3,2,6]=>[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [7,1,5,4,3,6,2]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,1,5,4,6,2,3]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,1,5,6,3,2,4]=>[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,1,6,4,3,2,5]=>[7,1,6,4,3,2,5]=>[2,6,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>10 [7,2,1,5,4,3,6]=>[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [7,2,1,6,5,4,3]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,2,4,3,1,6,5]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,2,4,3,6,1,5]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,2,4,6,3,1,5]=>[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,2,5,3,1,6,4]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,2,5,3,6,1,4]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,2,5,4,1,6,3]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,2,5,4,3,1,6]=>[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [7,2,5,4,3,6,1]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,2,5,4,6,1,3]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,2,5,6,3,1,4]=>[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,2,6,4,3,1,5]=>[7,1,6,4,3,2,5]=>[2,6,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,2,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,2,6,5,4,1,3]=>[7,2,6,5,4,1,3]=>[6,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,2,6,5,4,3,1]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>10 [7,3,1,5,4,2,6]=>[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [7,3,1,6,5,4,2]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,3,2,5,4,1,6]=>[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,3,2,6,5,1,4]=>[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,3,2,6,5,4,1]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,3,4,2,1,6,5]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,3,4,2,6,1,5]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,3,4,6,2,1,5]=>[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,3,5,2,1,6,4]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,3,5,2,6,1,4]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,3,5,4,1,6,2]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,3,5,4,2,1,6]=>[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [7,3,5,4,2,6,1]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,3,5,4,6,1,2]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,3,5,6,2,1,4]=>[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,3,6,1,5,4,2]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,3,6,2,5,4,1]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,3,6,4,2,1,5]=>[7,1,6,4,3,2,5]=>[2,6,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,3,6,5,1,4,2]=>[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[6,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,3,6,5,2,4,1]=>[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,3,6,5,4,1,2]=>[7,2,6,5,4,1,3]=>[6,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,3,6,5,4,2,1]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>10 [7,4,1,5,3,2,6]=>[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [7,4,1,6,5,3,2]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,4,2,1,6,5,3]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,4,2,5,3,1,6]=>[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [7,4,2,6,1,5,3]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,4,2,6,5,1,3]=>[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,4,2,6,5,3,1]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,4,3,1,6,5,2]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [7,4,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[6,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,4,3,2,6,5,1]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,4,3,5,2,1,6]=>[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [7,4,3,6,1,5,2]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[6,5,3,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,4,3,6,2,5,1]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,4,3,6,5,1,2]=>[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,4,3,6,5,2,1]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,4,5,2,1,6,3]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,4,5,2,6,1,3]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,4,5,3,1,6,2]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,4,5,3,2,1,6]=>[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [7,4,5,3,2,6,1]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>10 [7,4,5,3,6,1,2]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,4,5,6,2,1,3]=>[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>11 [7,4,6,1,5,3,2]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,4,6,2,1,5,3]=>[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,4,6,2,5,1,3]=>[7,3,6,2,5,1,4]=>[6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,4,6,2,5,3,1]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,4,6,3,1,5,2]=>[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,4,6,3,2,1,5]=>[7,4,6,3,2,1,5]=>[6,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,4,6,3,2,5,1]=>[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,4,6,3,5,1,2]=>[7,3,6,2,5,1,4]=>[6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,4,6,3,5,2,1]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,4,6,5,1,3,2]=>[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,4,6,5,2,1,3]=>[7,3,6,5,2,1,4]=>[6,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,4,6,5,2,3,1]=>[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,4,6,5,3,1,2]=>[7,2,6,5,4,1,3]=>[6,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,4,6,5,3,2,1]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>10 [7,5,1,4,3,2,6]=>[7,5,1,4,3,2,6]=>[3,6,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [7,5,1,6,4,3,2]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,5,2,1,6,4,3]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,5,2,4,3,1,6]=>[7,5,1,4,3,2,6]=>[3,6,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [7,5,2,6,1,4,3]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,5,2,6,4,1,3]=>[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,5,2,6,4,3,1]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,5,3,1,6,4,2]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,5,3,2,1,6,4]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [7,5,3,2,6,1,4]=>[7,4,3,2,6,1,5]=>[6,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,5,3,2,6,4,1]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,5,3,4,2,1,6]=>[7,5,1,4,3,2,6]=>[3,6,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>11 [7,5,3,6,1,4,2]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,5,3,6,2,1,4]=>[7,4,3,6,2,1,5]=>[6,5,3,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,5,3,6,2,4,1]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,5,3,6,4,1,2]=>[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,5,3,6,4,2,1]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,5,4,1,6,3,2]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,5,4,2,1,6,3]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [7,5,4,2,6,1,3]=>[7,4,3,2,6,1,5]=>[6,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,5,4,2,6,3,1]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,5,4,3,1,6,2]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [7,5,4,3,2,6,1]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [7,5,4,3,6,1,2]=>[7,4,3,2,6,1,5]=>[6,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,5,4,3,6,2,1]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>6 [7,5,4,6,1,3,2]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,5,4,6,2,1,3]=>[7,4,3,6,2,1,5]=>[6,5,3,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,5,4,6,2,3,1]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,5,4,6,3,1,2]=>[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,5,4,6,3,2,1]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>8 [7,5,6,1,4,3,2]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,5,6,2,1,4,3]=>[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,5,6,2,4,1,3]=>[7,3,6,2,5,1,4]=>[6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,5,6,2,4,3,1]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,5,6,3,1,4,2]=>[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,5,6,3,2,1,4]=>[7,4,6,3,2,1,5]=>[6,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,5,6,3,2,4,1]=>[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,5,6,3,4,1,2]=>[7,3,6,2,5,1,4]=>[6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,5,6,3,4,2,1]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,5,6,4,1,3,2]=>[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,5,6,4,2,1,3]=>[7,3,6,5,2,1,4]=>[6,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,5,6,4,2,3,1]=>[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,5,6,4,3,1,2]=>[7,2,6,5,4,1,3]=>[6,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,5,6,4,3,2,1]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>10 [7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>12 [7,6,2,1,5,4,3]=>[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,6,2,5,1,4,3]=>[7,6,2,5,1,4,3]=>[5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,6,2,5,4,1,3]=>[7,6,2,5,4,1,3]=>[6,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,2,5,4,3,1]=>[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>12 [7,6,3,1,5,4,2]=>[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,6,3,2,1,5,4]=>[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,6,3,2,5,1,4]=>[7,6,3,2,5,1,4]=>[6,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,6,3,2,5,4,1]=>[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,6,3,5,1,4,2]=>[7,6,2,5,1,4,3]=>[5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,6,3,5,2,1,4]=>[7,6,3,5,2,1,4]=>[6,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,6,3,5,2,4,1]=>[7,6,2,5,1,4,3]=>[5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,6,3,5,4,1,2]=>[7,6,2,5,4,1,3]=>[6,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,3,5,4,2,1]=>[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>12 [7,6,4,1,5,3,2]=>[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,6,4,2,1,5,3]=>[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,6,4,2,5,1,3]=>[7,6,3,2,5,1,4]=>[6,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,6,4,2,5,3,1]=>[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,6,4,3,1,5,2]=>[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [7,6,4,3,2,5,1]=>[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [7,6,4,3,5,1,2]=>[7,6,3,2,5,1,4]=>[6,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,6,4,3,5,2,1]=>[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>9 [7,6,4,5,1,3,2]=>[7,6,2,5,1,4,3]=>[5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,6,4,5,2,1,3]=>[7,6,3,5,2,1,4]=>[6,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,6,4,5,2,3,1]=>[7,6,2,5,1,4,3]=>[5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,6,4,5,3,1,2]=>[7,6,2,5,4,1,3]=>[6,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,4,5,3,2,1]=>[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>12 [7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>12 [7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[6,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,5,2,4,3,1]=>[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>12 [7,6,5,3,1,4,2]=>[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,6,5,3,2,4,1]=>[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [7,6,5,3,4,1,2]=>[7,6,5,2,4,1,3]=>[6,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,5,3,4,2,1]=>[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>12 [7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[5,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>10 [7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,5,4,2,3,1]=>[7,6,5,4,1,3,2]=>[5,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>10 [7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0